id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2102.03407 | Ehsan Bavarsad | Marzieh Akbari Ahmadmahmoudi and Ehsan Bavarsad | Energy-momentum tensor and effective Lagrangian of scalar QED with a
nonminimal coupling in 2D de Sitter spacetime | 22 pages, 2 figures | Phys. Rev. D 103, 105009 (2021) | 10.1103/PhysRevD.103.105009 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We have studied the induced one-loop energy-momentum tensor of a massive
complex scalar field within the framework of nonperturbative quantum
electrodynamics (QED) with a uniform electric field background on the
Poincar\'e patch of the two-dimensional de Sitter spacetime
($\mathrm{dS_{2}}$). We also consider a direct coupling the scalar field to the
Ricci scalar curvature which is parameterized by an arbitrary dimensionless
nonminimal coupling constant. We evaluate the trace anomaly of the induced
energy-momentum tensor. We show that our results for the induced
energy-momentum tensor in the zero electric field case, and the trace anomaly
are in agreement with the existing literature. Furthermore, we construct the
one-loop effective Lagrangian from the induced energy-momentum tensor.
| [
{
"created": "Fri, 5 Feb 2021 20:07:32 GMT",
"version": "v1"
}
] | 2021-05-26 | [
[
"Ahmadmahmoudi",
"Marzieh Akbari",
""
],
[
"Bavarsad",
"Ehsan",
""
]
] | We have studied the induced one-loop energy-momentum tensor of a massive complex scalar field within the framework of nonperturbative quantum electrodynamics (QED) with a uniform electric field background on the Poincar\'e patch of the two-dimensional de Sitter spacetime ($\mathrm{dS_{2}}$). We also consider a direct coupling the scalar field to the Ricci scalar curvature which is parameterized by an arbitrary dimensionless nonminimal coupling constant. We evaluate the trace anomaly of the induced energy-momentum tensor. We show that our results for the induced energy-momentum tensor in the zero electric field case, and the trace anomaly are in agreement with the existing literature. Furthermore, we construct the one-loop effective Lagrangian from the induced energy-momentum tensor. |
hep-th/0201088 | Michael Chesterman | Michael Chesterman | Exploring the second class constraint quantization approach proposed by
Batalin and Marnelius | 20 pages, no figures | null | null | QMUL-PH-02-02 | hep-th | null | I extend upon the paper by Batalin and Marnelius, in which they show how to
construct and quantize a gauge theory from a Hamiltonian system with second
class constraints. Among the avenues explored, their technique is analyzed in
relation to other well-known methods of quantization and a bracket is defined,
such that the operator formalism can be fully developed. I also extend to
systems with mixed class constraints and look at some simple examples.
| [
{
"created": "Mon, 14 Jan 2002 17:50:30 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Chesterman",
"Michael",
""
]
] | I extend upon the paper by Batalin and Marnelius, in which they show how to construct and quantize a gauge theory from a Hamiltonian system with second class constraints. Among the avenues explored, their technique is analyzed in relation to other well-known methods of quantization and a bracket is defined, such that the operator formalism can be fully developed. I also extend to systems with mixed class constraints and look at some simple examples. |
0804.3915 | Lee Peng Teo | C.H. Eab, S.C. Lim and L.P. Teo | Finite Temperature Casimir Effect for a Massless Fractional Klein-Gordon
field with Fractional Neumann Conditions | 31 pages | J. Math. Phys. 48, 6035-6060, 2007 | 10.1063/1.2760374 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper studies the Casimir effect due to fractional massless Klein-Gordon
field confined to parallel plates. A new kind of boundary condition called
fractional Neumann condition which involves vanishing fractional derivatives of
the field is introduced. The fractional Neumann condition allows the
interpolation of Dirichlet and Neumann conditions imposed on the two plates.
There exists a transition value in the difference between the orders of the
fractional Neumann conditions for which the Casimir force changes from
attractive to repulsive. Low and high temperature limits of Casimir energy and
pressure are obtained. For sufficiently high temperature, these quantities are
dominated by terms independent of the boundary conditions. Finally, validity of
the temperature inversion symmetry for various boundary conditions is
discussed.
| [
{
"created": "Thu, 24 Apr 2008 12:22:53 GMT",
"version": "v1"
}
] | 2018-10-31 | [
[
"Eab",
"C. H.",
""
],
[
"Lim",
"S. C.",
""
],
[
"Teo",
"L. P.",
""
]
] | This paper studies the Casimir effect due to fractional massless Klein-Gordon field confined to parallel plates. A new kind of boundary condition called fractional Neumann condition which involves vanishing fractional derivatives of the field is introduced. The fractional Neumann condition allows the interpolation of Dirichlet and Neumann conditions imposed on the two plates. There exists a transition value in the difference between the orders of the fractional Neumann conditions for which the Casimir force changes from attractive to repulsive. Low and high temperature limits of Casimir energy and pressure are obtained. For sufficiently high temperature, these quantities are dominated by terms independent of the boundary conditions. Finally, validity of the temperature inversion symmetry for various boundary conditions is discussed. |
hep-th/9409040 | null | Ursula Carow-Watamura and Satoshi Watamura | The Quantum Group as a Symmetry - The Schr\"odinger equation of the
$N$-dimensional $q$-deformed Harmonic Oscillator - | LaTeX, TU-466 | Prog.Theor.Phys.Suppl.118:375-389,1995 | 10.1143/PTPS.118.375 | null | hep-th | null | With the aim to construct a dynamical model with quantum group symmetry, the
$q$-deformed Schr\"odinger equation of the harmonic oscillator on the
$N$-dimensional quantum Euclidian space is investigated. After reviewing the
differential calculus on the $q$-Euclidian space, the $q$-analog of the
creation-annihilation operator is constructed. It is shown that it produces
systematically all eigenfunctions of the Schr\"odinger equation and
eigenvalues. We also present an alternative way to solve the Schr\"odinger
equation which is based on the $q$-analysis. We represent the Schr\"odinger
equation by the $q$-difference equation and solve it by using $q$-polynomials
and $q$-exponential functions. The problem of the involution corresponding to
the reality condition is discussed.
| [
{
"created": "Thu, 8 Sep 1994 09:48:18 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Carow-Watamura",
"Ursula",
""
],
[
"Watamura",
"Satoshi",
""
]
] | With the aim to construct a dynamical model with quantum group symmetry, the $q$-deformed Schr\"odinger equation of the harmonic oscillator on the $N$-dimensional quantum Euclidian space is investigated. After reviewing the differential calculus on the $q$-Euclidian space, the $q$-analog of the creation-annihilation operator is constructed. It is shown that it produces systematically all eigenfunctions of the Schr\"odinger equation and eigenvalues. We also present an alternative way to solve the Schr\"odinger equation which is based on the $q$-analysis. We represent the Schr\"odinger equation by the $q$-difference equation and solve it by using $q$-polynomials and $q$-exponential functions. The problem of the involution corresponding to the reality condition is discussed. |
hep-th/9502065 | Ioannis Bakas | I. Bakas and K. Sfetsos | T-duality and world-sheet supersymmetry | 15 pages, latex | Phys.Lett. B349 (1995) 448-457 | 10.1016/0370-2693(95)00290-2 | CERN-TH/95-16; THU-95/01 | hep-th | null | Four-dimensional string backgrounds with local realizations of N = 4
world-sheet supersymmetry have, in the presence of a rotational Killing
symmetry, only one complex structure which is an SO(2) singlet, while the other
two form an SO(2) doublet. Although N = 2 world-sheet supersymmetry is always
preserved under Abelian T-duality transformations, N = 4 breaks down to N = 2
in the rotational case. A non-local realization of N = 4 supersymmetry emerges,
instead, with world-sheet parafermions. For SO(3)-invariant metrics of purely
rotational type, like the Taub-NUT and the Atiyah-Hitchin metrics, none of the
locally realized extended world-sheet supersymmetries can be preserved under
non-Abelian duality.
| [
{
"created": "Fri, 10 Feb 1995 19:47:33 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Bakas",
"I.",
""
],
[
"Sfetsos",
"K.",
""
]
] | Four-dimensional string backgrounds with local realizations of N = 4 world-sheet supersymmetry have, in the presence of a rotational Killing symmetry, only one complex structure which is an SO(2) singlet, while the other two form an SO(2) doublet. Although N = 2 world-sheet supersymmetry is always preserved under Abelian T-duality transformations, N = 4 breaks down to N = 2 in the rotational case. A non-local realization of N = 4 supersymmetry emerges, instead, with world-sheet parafermions. For SO(3)-invariant metrics of purely rotational type, like the Taub-NUT and the Atiyah-Hitchin metrics, none of the locally realized extended world-sheet supersymmetries can be preserved under non-Abelian duality. |
1812.09861 | Salih Kibaro\u{g}lu | Salih Kibaro\u{g}lu and Oktay Cebecio\u{g}lu | $D=4$ supergravity from the Maxwell-Weyl superalgebra | 12 pages | Eur. Phys. J. C (2019) 79:898 | 10.1140/epjc/s10052-019-7421-0 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Abstract We present the construction of the first-order $D=4$,
$\mathcal{N}=1$ supergravity action by gauging the Maxwell-Weyl superalgebra.
The four-form lagrangian is constructed by using the curvatures of the algebra
and the local scale invariance of the action is achieved through the
introduction of a compensating scalar field. Finally, we find the generalized
Einstein equation with a coordinate dependent cosmological term.
| [
{
"created": "Mon, 24 Dec 2018 08:27:17 GMT",
"version": "v1"
},
{
"created": "Sat, 25 May 2019 16:03:55 GMT",
"version": "v2"
},
{
"created": "Thu, 25 Jul 2019 20:58:03 GMT",
"version": "v3"
},
{
"created": "Mon, 30 Sep 2019 19:19:23 GMT",
"version": "v4"
}
] | 2019-11-19 | [
[
"Kibaroğlu",
"Salih",
""
],
[
"Cebecioğlu",
"Oktay",
""
]
] | Abstract We present the construction of the first-order $D=4$, $\mathcal{N}=1$ supergravity action by gauging the Maxwell-Weyl superalgebra. The four-form lagrangian is constructed by using the curvatures of the algebra and the local scale invariance of the action is achieved through the introduction of a compensating scalar field. Finally, we find the generalized Einstein equation with a coordinate dependent cosmological term. |
1904.00492 | Marton Kalman Lajer | Zoltan Bajnok, Marton Lajer, Balint Szepfalvi, Istvan Vona | Leading exponential finite size corrections for non-diagonal form
factors | 34 pages, 16 figures | null | 10.1007/JHEP07(2019)173 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive the leading exponential finite volume corrections in two
dimensional integrable models for non-diagonal form factors in diagonally
scattering theories. These formulas are expressed in terms of the infinite
volume form factors and scattering matrices. If the particles are bound states
then the leading exponential finite-size corrections ($\mu$-terms) are related
to virtual processes in which the particles disintegrate into their
constituents. For non-bound state particles the leading exponential finite-size
corrections (F-terms) come from virtual particles traveling around the finite
world. In these F-terms a specifically regulated infinite volume form factor is
integrated for the momenta of the virtual particles. The F-term is also present
for bound states and the $\mu$-term can be obtained by taking an appropriate
residue of the F-term integral. We check our results numerically in the
Lee-Yang and sinh-Gordon models based on newly developed Hamiltonian
truncations.
| [
{
"created": "Sun, 31 Mar 2019 21:50:35 GMT",
"version": "v1"
}
] | 2019-09-04 | [
[
"Bajnok",
"Zoltan",
""
],
[
"Lajer",
"Marton",
""
],
[
"Szepfalvi",
"Balint",
""
],
[
"Vona",
"Istvan",
""
]
] | We derive the leading exponential finite volume corrections in two dimensional integrable models for non-diagonal form factors in diagonally scattering theories. These formulas are expressed in terms of the infinite volume form factors and scattering matrices. If the particles are bound states then the leading exponential finite-size corrections ($\mu$-terms) are related to virtual processes in which the particles disintegrate into their constituents. For non-bound state particles the leading exponential finite-size corrections (F-terms) come from virtual particles traveling around the finite world. In these F-terms a specifically regulated infinite volume form factor is integrated for the momenta of the virtual particles. The F-term is also present for bound states and the $\mu$-term can be obtained by taking an appropriate residue of the F-term integral. We check our results numerically in the Lee-Yang and sinh-Gordon models based on newly developed Hamiltonian truncations. |
1803.10755 | Andreas P. Braun | Andreas P. Braun, Sakura Schafer-Nameki | Spin(7)-Manifolds as Generalized Connected Sums and 3d N=1 Theories | 49 pages, 4 figures; v2: added references | null | 10.1007/JHEP06(2018)103 | null | hep-th math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | M-theory on compact eight-manifolds with $\mathrm{Spin}(7)$-holonomy is a
framework for geometric engineering of 3d $\mathcal{N}=1$ gauge theories
coupled to gravity. We propose a new construction of such
$\mathrm{Spin}(7)$-manifolds, based on a generalized connected sum, where the
building blocks are a Calabi-Yau four-fold and a $G_2$-holonomy manifold times
a circle, respectively, which both asymptote to a Calabi-Yau three-fold times a
cylinder. The generalized connected sum construction is first exemplified for
Joyce orbifolds, and is then used to construct examples of new compact
manifolds with $\mathrm{Spin}(7)$-holonomy. In instances when there is a
K3-fibration of the $\mathrm{Spin}(7)$-manifold, we test the spectra using
duality to heterotic on a $T^3$-fibered $G_2$-holonomy manifold, which are
shown to be precisely the recently discovered twisted-connected sum
constructions.
| [
{
"created": "Wed, 28 Mar 2018 17:45:59 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Apr 2018 10:44:30 GMT",
"version": "v2"
}
] | 2018-08-01 | [
[
"Braun",
"Andreas P.",
""
],
[
"Schafer-Nameki",
"Sakura",
""
]
] | M-theory on compact eight-manifolds with $\mathrm{Spin}(7)$-holonomy is a framework for geometric engineering of 3d $\mathcal{N}=1$ gauge theories coupled to gravity. We propose a new construction of such $\mathrm{Spin}(7)$-manifolds, based on a generalized connected sum, where the building blocks are a Calabi-Yau four-fold and a $G_2$-holonomy manifold times a circle, respectively, which both asymptote to a Calabi-Yau three-fold times a cylinder. The generalized connected sum construction is first exemplified for Joyce orbifolds, and is then used to construct examples of new compact manifolds with $\mathrm{Spin}(7)$-holonomy. In instances when there is a K3-fibration of the $\mathrm{Spin}(7)$-manifold, we test the spectra using duality to heterotic on a $T^3$-fibered $G_2$-holonomy manifold, which are shown to be precisely the recently discovered twisted-connected sum constructions. |
1703.07522 | Sung-Sik Lee | Qi Hu and Sung-Sik Lee | Non-local Geometry inside Lifshitz Horizon | 20 pages | J. High Energ. Phys. (2017) 2017: 56 | 10.1007/JHEP07(2017)056 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Based on the quantum renormalization group, we derive the bulk geometry that
emerges in the holographic dual of the fermionic U(N) vector model at a nonzero
charge density. The obstruction that prohibits the metallic state from being
smoothly deformable to the direct product state under the renormalization group
flow gives rise to a horizon at a finite radial coordinate in the bulk. The
region outside the horizon is described by the Lifshitz geometry with a
higher-spin hair determined by microscopic details of the boundary theory. On
the other hand, the interior of the horizon is not described by any Riemannian
manifold, as it exhibits an algebraic non-locality. The non-local structure
inside the horizon carries the information on the shape of the filled Fermi
sea.
| [
{
"created": "Wed, 22 Mar 2017 04:46:30 GMT",
"version": "v1"
}
] | 2017-07-18 | [
[
"Hu",
"Qi",
""
],
[
"Lee",
"Sung-Sik",
""
]
] | Based on the quantum renormalization group, we derive the bulk geometry that emerges in the holographic dual of the fermionic U(N) vector model at a nonzero charge density. The obstruction that prohibits the metallic state from being smoothly deformable to the direct product state under the renormalization group flow gives rise to a horizon at a finite radial coordinate in the bulk. The region outside the horizon is described by the Lifshitz geometry with a higher-spin hair determined by microscopic details of the boundary theory. On the other hand, the interior of the horizon is not described by any Riemannian manifold, as it exhibits an algebraic non-locality. The non-local structure inside the horizon carries the information on the shape of the filled Fermi sea. |
0712.4112 | Makoto Sakaguchi | Makoto Sakaguchi and Kentaroh Yoshida | Holography of Non-relativistic String on AdS5xS5 | 34pp, 3 figures; typos fixed, published version | JHEP 0802:092,2008 | 10.1088/1126-6708/2008/02/092 | OIQP-07-17, NSF-KITP-07-196 | hep-th | null | We discuss a holographic dual of a non-relativistic (NR) string on AdS5xS5.
The NR string can be regarded as a semiclassical string around an AdS2
classical solution corresponding to a straight Wilson line in the gauge-theory
side. The quadratic action with respect to the fluctuations is composed of free
massive and massless scalars, and free massive fermions on the AdS2
world-sheet. We show that the complete agreement of the spectra between the NR
string and a conformal quantum mechanics (CQM). Then we show a holographic
relation between normalizable modes of the NR string and wave functions in the
CQM. Then it may be argued from this result that an AdS2/CFT1 would be realized
in AdS5/CFT4. We can really discuss a GKPW-type relation by considering
non-normalizable modes of the NR string in Euclidean signature. Those modes
give a source term insertion to the Wilson line, which can also be regarded as
a small deformation of it.
| [
{
"created": "Wed, 26 Dec 2007 09:20:52 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Feb 2008 02:18:34 GMT",
"version": "v2"
}
] | 2009-12-15 | [
[
"Sakaguchi",
"Makoto",
""
],
[
"Yoshida",
"Kentaroh",
""
]
] | We discuss a holographic dual of a non-relativistic (NR) string on AdS5xS5. The NR string can be regarded as a semiclassical string around an AdS2 classical solution corresponding to a straight Wilson line in the gauge-theory side. The quadratic action with respect to the fluctuations is composed of free massive and massless scalars, and free massive fermions on the AdS2 world-sheet. We show that the complete agreement of the spectra between the NR string and a conformal quantum mechanics (CQM). Then we show a holographic relation between normalizable modes of the NR string and wave functions in the CQM. Then it may be argued from this result that an AdS2/CFT1 would be realized in AdS5/CFT4. We can really discuss a GKPW-type relation by considering non-normalizable modes of the NR string in Euclidean signature. Those modes give a source term insertion to the Wilson line, which can also be regarded as a small deformation of it. |
2010.11927 | Mikhail Alfimov Mr | Mikhail Alfimov, Boris Feigin, Ben Hoare and Alexey Litvinov | Dual description of $\eta$-deformed OSP sigma models | 46 pages, 16 figures; v2: typos fixed; v3: references added, typos
fixed, published version | JHEP12(2020)040 | 10.1007/JHEP12(2020)040 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the dual description of the $\eta$-deformed $OSP(N|2m)$ sigma model
in the asymptotically free regime ($N>2m+2$). Compared to the case of classical
Lie groups, for supergroups there are inequivalent $\eta$-deformations
corresponding to different choices of simple roots. For a class of such
deformations we propose the system of screening charges depending on a
continuous parameter $b$, which defines the $\eta$-deformed $OSP(N|2m)$ sigma
model in the limit $b\rightarrow\infty$ and a certain Toda QFT as
$b\rightarrow0$. In the sigma model regime we show that the leading UV
asymptotic of the $\eta$-deformed model coincides with a perturbed Gaussian
theory. In the perturbative regime $b\rightarrow0$ we show that the tree-level
two-particle scattering matrix matches the expansion of the trigonometric
$OSP(N|2m)$ $S$-matrix.
| [
{
"created": "Thu, 22 Oct 2020 17:55:47 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Nov 2020 10:30:10 GMT",
"version": "v2"
},
{
"created": "Thu, 14 Jan 2021 21:50:05 GMT",
"version": "v3"
}
] | 2021-01-18 | [
[
"Alfimov",
"Mikhail",
""
],
[
"Feigin",
"Boris",
""
],
[
"Hoare",
"Ben",
""
],
[
"Litvinov",
"Alexey",
""
]
] | We study the dual description of the $\eta$-deformed $OSP(N|2m)$ sigma model in the asymptotically free regime ($N>2m+2$). Compared to the case of classical Lie groups, for supergroups there are inequivalent $\eta$-deformations corresponding to different choices of simple roots. For a class of such deformations we propose the system of screening charges depending on a continuous parameter $b$, which defines the $\eta$-deformed $OSP(N|2m)$ sigma model in the limit $b\rightarrow\infty$ and a certain Toda QFT as $b\rightarrow0$. In the sigma model regime we show that the leading UV asymptotic of the $\eta$-deformed model coincides with a perturbed Gaussian theory. In the perturbative regime $b\rightarrow0$ we show that the tree-level two-particle scattering matrix matches the expansion of the trigonometric $OSP(N|2m)$ $S$-matrix. |
1609.05825 | Dongshan He | Dongshan He and Qing-yu Cai | Gravitational correlation, black hole entropy and information
conservation | 8 pages,1 figures | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | When two objects have gravitational interaction between them, they are no
longer independent of each other. In fact, there exists gravitational
correlation between these two objects. Inspired by E. Verlinde's paper, we
first calculate the entropy change of a system when gravity does positive work
on this system. Based on the concept of gravitational correlation entropy, we
prove that the entropy of a Schwarzschild black hole originates from the
gravitational correlations between the interior matters of the black hole. By
analyzing the gravitational correlation entropies in the process of Hawking
radiation in a general context, we prove that the reduced entropy of a black
hole is exactly carried away by the radiation and the gravitational
correlations between these radiating particles, and the entropy or information
is conserved at all times during Hawking radiation. Finally, we attempt to give
a unified description of the non-extensive black-hole entropy and the extensive
entropy of ordinary matter.
| [
{
"created": "Sun, 28 Aug 2016 01:40:27 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Sep 2016 07:29:35 GMT",
"version": "v2"
}
] | 2016-09-22 | [
[
"He",
"Dongshan",
""
],
[
"Cai",
"Qing-yu",
""
]
] | When two objects have gravitational interaction between them, they are no longer independent of each other. In fact, there exists gravitational correlation between these two objects. Inspired by E. Verlinde's paper, we first calculate the entropy change of a system when gravity does positive work on this system. Based on the concept of gravitational correlation entropy, we prove that the entropy of a Schwarzschild black hole originates from the gravitational correlations between the interior matters of the black hole. By analyzing the gravitational correlation entropies in the process of Hawking radiation in a general context, we prove that the reduced entropy of a black hole is exactly carried away by the radiation and the gravitational correlations between these radiating particles, and the entropy or information is conserved at all times during Hawking radiation. Finally, we attempt to give a unified description of the non-extensive black-hole entropy and the extensive entropy of ordinary matter. |
1210.0478 | Tristan Hubsch | Isaac Chappell II and S. James Gates Jr and T. Hubsch | Adinkra (In)Equivalence From Coxeter Group Representations: A Case Study | 23 pages, 6 figures (v.2: numerical data corrections in appendix C) | Int. J. Mod. Phys. A29 no. 6, (2014) 1450029 | 10.1142/S0217751X14500298 | UMD PP-012-014 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using a Mathematica code, we present a straightforward numerical analysis of
the 384-dimensional solution space of signed permutation 4x4 matrices, which in
sets of four provide representations of the GR(4,4) algebra, closely related to
the N=1 (simple) supersymmetry algebra in 4-dimensional spacetime. Following
after ideas discussed in previous papers about automorphisms and classification
of adinkras and corresponding supermultiplets, we make a new and alternative
proposal to use equivalence classes of the (unsigned) permutation group S4 to
define distinct representations of higher dimensional spin bundles within the
context of adinkras. For this purpose, the definition of a dual operator akin
to the well-known Hodge star is found to partition the space of these GR(4,4)
representations into three suggestive classes.
| [
{
"created": "Mon, 1 Oct 2012 17:38:37 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Oct 2012 18:46:18 GMT",
"version": "v2"
}
] | 2014-03-18 | [
[
"Chappell",
"Isaac",
"II"
],
[
"Gates",
"S. James",
"Jr"
],
[
"Hubsch",
"T.",
""
]
] | Using a Mathematica code, we present a straightforward numerical analysis of the 384-dimensional solution space of signed permutation 4x4 matrices, which in sets of four provide representations of the GR(4,4) algebra, closely related to the N=1 (simple) supersymmetry algebra in 4-dimensional spacetime. Following after ideas discussed in previous papers about automorphisms and classification of adinkras and corresponding supermultiplets, we make a new and alternative proposal to use equivalence classes of the (unsigned) permutation group S4 to define distinct representations of higher dimensional spin bundles within the context of adinkras. For this purpose, the definition of a dual operator akin to the well-known Hodge star is found to partition the space of these GR(4,4) representations into three suggestive classes. |
hep-th/9501036 | Yo | C. Gomez and E. Lopez | On the String Interpretation of the $t{\bar t}$-geometry | Latex, 20 pages, no figures | Nucl.Phys. B444 (1995) 265-286 | 10.1016/0550-3213(95)00140-N | IMAFF-95/1 | hep-th | null | We derive the $t{\bar t}$-equations for generic $N\!=\!2$ topological field
theories as consistency conditions for the contact term algebra of topological
strings. A generalization of the holomorphic anomaly equation, known for the
critical ${\hat c}\!=\!3$ case, to arbitrary non critical topological strings
is presented. The interplay between the non trivial cohomology of the
$b$-antighost, gravitational descendants and $\bar t$-dependence is discussed.
The physical picture emerging from this study is that the $\bar t$ (background)
dependence of topological strings with non trivial cohomology for the
$b$-antighost, is determined by gravitational descendants.
| [
{
"created": "Wed, 11 Jan 1995 20:37:44 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Gomez",
"C.",
""
],
[
"Lopez",
"E.",
""
]
] | We derive the $t{\bar t}$-equations for generic $N\!=\!2$ topological field theories as consistency conditions for the contact term algebra of topological strings. A generalization of the holomorphic anomaly equation, known for the critical ${\hat c}\!=\!3$ case, to arbitrary non critical topological strings is presented. The interplay between the non trivial cohomology of the $b$-antighost, gravitational descendants and $\bar t$-dependence is discussed. The physical picture emerging from this study is that the $\bar t$ (background) dependence of topological strings with non trivial cohomology for the $b$-antighost, is determined by gravitational descendants. |
2112.00199 | ChunJun Cao | ChunJun Cao | From Quantum Codes to Gravity: A Journey of Gravitizing Quantum
Mechanics | Note prepared as a proceeding for TQTG2021 | null | null | null | hep-th gr-qc quant-ph | http://creativecommons.org/licenses/by/4.0/ | In this note, I review a recent approach to quantum gravity that "gravitizes"
quantum mechanics by emerging geometry and gravity from complex quantum states.
Drawing further insights from tensor network toy models in AdS/CFT, I propose
that approximate quantum error correction codes, when re-adapted into the
aforementioned framework, also has promise in emerging gravity in near-flat
geometries.
| [
{
"created": "Wed, 1 Dec 2021 00:48:17 GMT",
"version": "v1"
}
] | 2021-12-02 | [
[
"Cao",
"ChunJun",
""
]
] | In this note, I review a recent approach to quantum gravity that "gravitizes" quantum mechanics by emerging geometry and gravity from complex quantum states. Drawing further insights from tensor network toy models in AdS/CFT, I propose that approximate quantum error correction codes, when re-adapted into the aforementioned framework, also has promise in emerging gravity in near-flat geometries. |
2307.02030 | Di Wu | Di Wu | Topological classes of thermodynamics of the four-dimensional static
accelerating black holes | 12 pages, 8 figures, 1 table, revtex4-1.cls, match with the published
version in PRD | Phys. Rev. D 108, 084041 (2023) | 10.1103/PhysRevD.108.084041 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | In this paper, utilizing the generalized off shell Helmholtz free energy, we
explore the topological numbers of the four-dimensional static accelerating
black hole and its AdS extension, as well as the static charged accelerating
black hole and its AdS extension. Our analysis reveals a profound and
significant impact of the acceleration parameter on the topological numbers
associated with the static black holes; and different values (nonzero) of the
acceleration parameter do not affect the topological numbers of the
corresponding four-dimensional static accelerating black holes. In addition, we
demonstrate that the electric charge parameter has an important effect on the
topological number of the static neutral accelerating black holes, and the
cosmological constant has a remarkable influence on the topological number of
the static accelerating black hole. Furthermore, it is interesting to observe
that the difference between the topological number of the asymptotically flat
static accelerating black hole and that of its corresponding asymptotically
flat static nonaccelerating black hole is always unity, and the difference
between the topological number of the asymptotically AdS static accelerating
black hole and that of its corresponding asymptotically AdS static
nonaccelerating black hole is always $-1$. This new observation leads us to
conjure that it might be valid also for other accelerating black holes. Of
course, this captivating conjecture requires empirical verification through
comprehensive investigation into the topological numbers of other accelerating
black holes and their corresponding usual counterparts.
| [
{
"created": "Wed, 5 Jul 2023 05:27:53 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Sep 2023 01:25:13 GMT",
"version": "v2"
},
{
"created": "Sat, 21 Oct 2023 01:33:55 GMT",
"version": "v3"
}
] | 2023-10-24 | [
[
"Wu",
"Di",
""
]
] | In this paper, utilizing the generalized off shell Helmholtz free energy, we explore the topological numbers of the four-dimensional static accelerating black hole and its AdS extension, as well as the static charged accelerating black hole and its AdS extension. Our analysis reveals a profound and significant impact of the acceleration parameter on the topological numbers associated with the static black holes; and different values (nonzero) of the acceleration parameter do not affect the topological numbers of the corresponding four-dimensional static accelerating black holes. In addition, we demonstrate that the electric charge parameter has an important effect on the topological number of the static neutral accelerating black holes, and the cosmological constant has a remarkable influence on the topological number of the static accelerating black hole. Furthermore, it is interesting to observe that the difference between the topological number of the asymptotically flat static accelerating black hole and that of its corresponding asymptotically flat static nonaccelerating black hole is always unity, and the difference between the topological number of the asymptotically AdS static accelerating black hole and that of its corresponding asymptotically AdS static nonaccelerating black hole is always $-1$. This new observation leads us to conjure that it might be valid also for other accelerating black holes. Of course, this captivating conjecture requires empirical verification through comprehensive investigation into the topological numbers of other accelerating black holes and their corresponding usual counterparts. |
1604.06321 | Miguel Tierz | Miguel Tierz | Mass-deformed ABJ and ABJM theory, Meixner-Pollaczek polynomials, and
$su(1,1)$ oscillators | 15 pages, v2: misprints corrected, references and a comment added.
Title slightly modified, as suggested by journal | Phys. Rev. D 93, 126003 (2016) | 10.1103/PhysRevD.93.126003 | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give explicit analytical expressions for the partition function of
$U(N)_{k}\times U(N+M)_{-k}$ ABJ theory at weak coupling ($k\rightarrow \infty
)$ for finite and arbitrary values of $N$ and $M$ (including the ABJM case and
its mass-deformed generalization). We obtain the expressions by identifying the
one-matrix model formulation with a Meixner-Pollaczek ensemble and using the
corresponding orthogonal polynomials, which are also eigenfunctions of a
$su(1,1)$ quantum oscillator. Wilson loops in mass-deformed ABJM are also
studied in the same limit and interpreted in terms of $su(1,1)$ coherent
states.
| [
{
"created": "Thu, 21 Apr 2016 14:26:08 GMT",
"version": "v1"
},
{
"created": "Wed, 18 May 2016 03:58:12 GMT",
"version": "v2"
}
] | 2016-06-17 | [
[
"Tierz",
"Miguel",
""
]
] | We give explicit analytical expressions for the partition function of $U(N)_{k}\times U(N+M)_{-k}$ ABJ theory at weak coupling ($k\rightarrow \infty )$ for finite and arbitrary values of $N$ and $M$ (including the ABJM case and its mass-deformed generalization). We obtain the expressions by identifying the one-matrix model formulation with a Meixner-Pollaczek ensemble and using the corresponding orthogonal polynomials, which are also eigenfunctions of a $su(1,1)$ quantum oscillator. Wilson loops in mass-deformed ABJM are also studied in the same limit and interpreted in terms of $su(1,1)$ coherent states. |
hep-th/9201056 | null | Edward Witten and Barton Zwiebach | Algebraic Structures and Differential Geometry in 2D String Theory | 65pp. (Two figures, not included.) | Nucl.Phys.B377:55-112,1992 | 10.1016/0550-3213(92)90018-7 | null | hep-th | null | A careful treatment of closed string BRST cohomology shows that there are
more discrete states and associated symmetries in $D=2$ string theory than has
been recognized hitherto. The full structure, at the $SU(2)$ radius, has a
natural description in terms of abelian gauge theory on a certain three
dimensional cone $Q$. We describe precisely how symmetry currents are
constructed from the discrete states, explaining the role of the ``descent
equations.'' In the uncompactified theory, we compute the action of the
symmetries on the tachyon field, and isolate the features that lead to
nonlinear terms in this action. The resulting symmetry structure is interpreted
in terms of a homotopy Lie algebra.
| [
{
"created": "Tue, 28 Jan 1992 02:30:00 GMT",
"version": "v1"
}
] | 2010-04-07 | [
[
"Witten",
"Edward",
""
],
[
"Zwiebach",
"Barton",
""
]
] | A careful treatment of closed string BRST cohomology shows that there are more discrete states and associated symmetries in $D=2$ string theory than has been recognized hitherto. The full structure, at the $SU(2)$ radius, has a natural description in terms of abelian gauge theory on a certain three dimensional cone $Q$. We describe precisely how symmetry currents are constructed from the discrete states, explaining the role of the ``descent equations.'' In the uncompactified theory, we compute the action of the symmetries on the tachyon field, and isolate the features that lead to nonlinear terms in this action. The resulting symmetry structure is interpreted in terms of a homotopy Lie algebra. |
1010.5831 | Aleksandr N. Pinzul | A. Pinzul | On spectral geometry approach to Horava-Lifshitz gravity: Spectral
dimension | References, a figure and minor clarifications added. To match the
version to be published in CQG | Class.Quant.Grav.28:195005,2011 | 10.1088/0264-9381/28/19/195005 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We initiate the study of Horava-Lifshitz models of gravity in the framework
of spectral geometry. As the first step, we calculate the dimension of
space-time. It is shown, that for the natural choice of a Dirac operator (or
rather corresponding generalized Laplacian), which respects both the foliation
structure and anisotropic scaling, the result of Horava on a spectral dimension
is reproduced for an arbitrary, non-flat space-time. The advantage and further
applications of our approach are discussed.
| [
{
"created": "Thu, 28 Oct 2010 00:47:02 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Aug 2011 17:39:48 GMT",
"version": "v2"
}
] | 2011-09-09 | [
[
"Pinzul",
"A.",
""
]
] | We initiate the study of Horava-Lifshitz models of gravity in the framework of spectral geometry. As the first step, we calculate the dimension of space-time. It is shown, that for the natural choice of a Dirac operator (or rather corresponding generalized Laplacian), which respects both the foliation structure and anisotropic scaling, the result of Horava on a spectral dimension is reproduced for an arbitrary, non-flat space-time. The advantage and further applications of our approach are discussed. |
2103.00566 | Josef Kluson | J. Kluson | Null Dimensional Reduction of M2-Brane | 14 pages, reference added | null | 10.1142/S0217751X22500907 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We perform a general reduction of an M2-brane on a space-time that admits a
null Killing vector leading to fundamental string and D2-brane action in
Newton-Cartan background.
| [
{
"created": "Sun, 28 Feb 2021 17:08:43 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Mar 2021 20:41:19 GMT",
"version": "v2"
}
] | 2022-07-13 | [
[
"Kluson",
"J.",
""
]
] | We perform a general reduction of an M2-brane on a space-time that admits a null Killing vector leading to fundamental string and D2-brane action in Newton-Cartan background. |
2108.00835 | Sayali Bhatkar | Sayali Atul Bhatkar | Effect of small cosmological constant on electromagnetic memory effect | Minor rearrangement of matter (All results unchanged) | Phys. Rev. D 105, 124028 - June 2022 | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by-nc-sa/4.0/ | We consider a generic scattering process that takes place in a region of size
R inside the static patch of the de Sitter spacetime such that R is smaller
than the curvature length scale of the background. The effect of curvature can
thus be studied perturbatively. We obtain the asymptotic electromagnetic field
generated by the scattering process including the leading order correction due
to the presence of de Sitter background and discuss its universal aspects. We
finally caculate the resultant first order corrections to the flat spacetime
velocity memory effect.
| [
{
"created": "Mon, 2 Aug 2021 12:46:05 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Jun 2022 06:43:30 GMT",
"version": "v2"
}
] | 2022-06-17 | [
[
"Bhatkar",
"Sayali Atul",
""
]
] | We consider a generic scattering process that takes place in a region of size R inside the static patch of the de Sitter spacetime such that R is smaller than the curvature length scale of the background. The effect of curvature can thus be studied perturbatively. We obtain the asymptotic electromagnetic field generated by the scattering process including the leading order correction due to the presence of de Sitter background and discuss its universal aspects. We finally caculate the resultant first order corrections to the flat spacetime velocity memory effect. |
0710.0873 | Joseph Conlon | Joseph P. Conlon | Mirror Mediation | 33 pages, 1 figure; v2: typos, references, minor corrections | JHEP 0803:025,2008 | 10.1088/1126-6708/2008/03/025 | DAMTP-2007-86 | hep-th hep-ph | null | I show that the effective action of string compactifications has a structure
that can naturally solve the supersymmetric flavour and CP problems. At leading
order in the g_s and \alpha' expansions, the hidden sector factorises. The
moduli space splits into two mirror parts that depend on Kahler and complex
structure moduli. Holomorphy implies the flavour structure of the Yukawa
couplings arises in only one part. In type IIA string theory flavour arises
through the Kahler moduli sector and in type IIB flavour arises through the
complex structure moduli sector. This factorisation gives a simple solution to
the supersymmetric flavour and CP problems: flavour physics is generated in one
sector while supersymmetry is broken in the mirror sector. This mechanism does
not require the presence of gauge, gaugino or anomaly mediation and is
explicitly realised by phenomenological models of IIB flux compactifications.
| [
{
"created": "Thu, 4 Oct 2007 16:12:25 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Oct 2007 14:53:08 GMT",
"version": "v2"
}
] | 2009-06-10 | [
[
"Conlon",
"Joseph P.",
""
]
] | I show that the effective action of string compactifications has a structure that can naturally solve the supersymmetric flavour and CP problems. At leading order in the g_s and \alpha' expansions, the hidden sector factorises. The moduli space splits into two mirror parts that depend on Kahler and complex structure moduli. Holomorphy implies the flavour structure of the Yukawa couplings arises in only one part. In type IIA string theory flavour arises through the Kahler moduli sector and in type IIB flavour arises through the complex structure moduli sector. This factorisation gives a simple solution to the supersymmetric flavour and CP problems: flavour physics is generated in one sector while supersymmetry is broken in the mirror sector. This mechanism does not require the presence of gauge, gaugino or anomaly mediation and is explicitly realised by phenomenological models of IIB flux compactifications. |
0709.3738 | Larus Thorlacius | Samuli Hemming and Larus Thorlacius | Thermodynamics of Large AdS Black Holes | 17 pages, 1 figure, v2. added references | JHEP 0711:086,2007 | 10.1088/1126-6708/2007/11/086 | RH-05-2007 | hep-th gr-qc | null | We consider leading order quantum corrections to the geometry of large AdS
black holes in a spherical reduction of four-dimensional Einstein gravity with
negative cosmological constant. The Hawking temperature grows without bound
with increasing black hole mass, yet the semiclassical back-reaction on the
geometry is relatively mild, indicating that observers in free fall outside a
large AdS black hole never see thermal radiation at the Hawking temperature.
The positive specific heat of large AdS black holes is a statement about the
dual gauge theory rather than an observable property on the gravity side.
Implications for string thermodynamics with an AdS infrared regulator are
briefly discussed.
| [
{
"created": "Mon, 24 Sep 2007 11:48:53 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Oct 2007 14:25:19 GMT",
"version": "v2"
}
] | 2009-06-19 | [
[
"Hemming",
"Samuli",
""
],
[
"Thorlacius",
"Larus",
""
]
] | We consider leading order quantum corrections to the geometry of large AdS black holes in a spherical reduction of four-dimensional Einstein gravity with negative cosmological constant. The Hawking temperature grows without bound with increasing black hole mass, yet the semiclassical back-reaction on the geometry is relatively mild, indicating that observers in free fall outside a large AdS black hole never see thermal radiation at the Hawking temperature. The positive specific heat of large AdS black holes is a statement about the dual gauge theory rather than an observable property on the gravity side. Implications for string thermodynamics with an AdS infrared regulator are briefly discussed. |
1803.07322 | Olaf Lechtenfeld | Tatiana A. Ivanova, Olaf Lechtenfeld, Alexander D. Popov | Non-Abelian sigma models from Yang-Mills theory compactified on a circle | 1+9 pages | null | 10.1016/j.physletb.2018.04.013 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider SU($N$) Yang-Mills theory on ${\mathbb R}^{2,1}\times S^1$, where
$S^1$ is a spatial circle. In the infrared limit of a small-circle radius the
Yang-Mills action reduces to the action of a sigma model on ${\mathbb R}^{2,1}$
whose target space is a $2(N{-}1)$-dimensional torus modulo the Weyl-group
action. We argue that there is freedom in the choice of the framing of the
gauge bundles, which leads to more general options. In particular, we show that
this low-energy limit can give rise to a target space
SU$(N){\times}$SU$(N)/{\mathbb Z}_N$. The latter is the direct product of
SU($N$) and its Langlands dual SU$(N)/{\mathbb Z}_N$, and it contains the
above-mentioned torus as its maximal Abelian subgroup. An analogous result is
obtained for any non-Abelian gauge group.
| [
{
"created": "Tue, 20 Mar 2018 09:28:48 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Mar 2018 17:59:49 GMT",
"version": "v2"
}
] | 2018-04-11 | [
[
"Ivanova",
"Tatiana A.",
""
],
[
"Lechtenfeld",
"Olaf",
""
],
[
"Popov",
"Alexander D.",
""
]
] | We consider SU($N$) Yang-Mills theory on ${\mathbb R}^{2,1}\times S^1$, where $S^1$ is a spatial circle. In the infrared limit of a small-circle radius the Yang-Mills action reduces to the action of a sigma model on ${\mathbb R}^{2,1}$ whose target space is a $2(N{-}1)$-dimensional torus modulo the Weyl-group action. We argue that there is freedom in the choice of the framing of the gauge bundles, which leads to more general options. In particular, we show that this low-energy limit can give rise to a target space SU$(N){\times}$SU$(N)/{\mathbb Z}_N$. The latter is the direct product of SU($N$) and its Langlands dual SU$(N)/{\mathbb Z}_N$, and it contains the above-mentioned torus as its maximal Abelian subgroup. An analogous result is obtained for any non-Abelian gauge group. |
1907.03065 | Dmitry Kaparulin | D. S. Kaparulin, S. L. Lyakhovich, I. A. Retuntsev | Variational principle for cylindrical curves and dynamics of spinning
particles in $d=3$ Minkowski space | Submitted to the AIP Conference Proceedings | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We proceed from the fact that the classical paths of irreducible massive
spinning particle lie on a circular cylinder with the time-like axis in
Minkowski space. Assuming that all the classical paths on the cylinder are
gauge-equivalent, we derive the equations of motion for the cylindrical curves.
These equations are non-Lagrangian, but they admit interpretation in terms of
the conditional extremum problem for a certain length functional in the class
of paths subjected to the constant separation conditions. The unconditional
variational principle is obtained after inclusion of constant separation
conditions with the Lagrange multipliers into the action. We explicitly verify
that the states of the obtained model lie on the co-orbit of the Poincare
group. The relationship with the previously known theory is demonstrated.
| [
{
"created": "Sat, 6 Jul 2019 03:37:14 GMT",
"version": "v1"
}
] | 2019-07-09 | [
[
"Kaparulin",
"D. S.",
""
],
[
"Lyakhovich",
"S. L.",
""
],
[
"Retuntsev",
"I. A.",
""
]
] | We proceed from the fact that the classical paths of irreducible massive spinning particle lie on a circular cylinder with the time-like axis in Minkowski space. Assuming that all the classical paths on the cylinder are gauge-equivalent, we derive the equations of motion for the cylindrical curves. These equations are non-Lagrangian, but they admit interpretation in terms of the conditional extremum problem for a certain length functional in the class of paths subjected to the constant separation conditions. The unconditional variational principle is obtained after inclusion of constant separation conditions with the Lagrange multipliers into the action. We explicitly verify that the states of the obtained model lie on the co-orbit of the Poincare group. The relationship with the previously known theory is demonstrated. |
hep-th/0104241 | Akio Sugamoto | Akio Sugamoto (Ochanomizu University) | 4d Gauge Theory and Gravity Generated from 3d Ones at High Energy | 13 pages, latex, no figures | Prog.Theor.Phys. 107 (2002) 793-804 | 10.1143/PTP.107.793 | OCHA-PP-175 | hep-th | null | Dynamical generation of 4d gauge theories and gravity at low energy from the
3d ones at high energy is studied, based on the fermion condensation mechanism
recently proposed by Arkani-Hamed, Cohen and Georgi. For gravity, 4d Einstein
gravity is generated from the multiple copy of the 3d ones, by referring to the
two form gravity. Since the 3d Einstein action without matter coupling is
topological, ultraviolet divergences are less singular in our model. In the
gauge model, matter fermions are introduced on the discrete lattice following
Wilson. Then, the 4d gauge interactions are correctly generated from the 3d
theories even in the left-right asymmetric theories of the standard model. In
order for this to occur, the Higgs fields as well as the gauge fields of the
extra dimension should be generated by the fermion condensates. Therefore, the
generation of the 4d standard model from the multiple copy of the 3d ones is
quite promising. To solve the doubling problem in the weak interaction sector,
two kinds of discrete lattices have to be introduced separately for L- and
R-handed sectors, and the two types of Higgs fields should be generated.
| [
{
"created": "Fri, 27 Apr 2001 06:19:41 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Oct 2001 09:08:16 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Sugamoto",
"Akio",
"",
"Ochanomizu University"
]
] | Dynamical generation of 4d gauge theories and gravity at low energy from the 3d ones at high energy is studied, based on the fermion condensation mechanism recently proposed by Arkani-Hamed, Cohen and Georgi. For gravity, 4d Einstein gravity is generated from the multiple copy of the 3d ones, by referring to the two form gravity. Since the 3d Einstein action without matter coupling is topological, ultraviolet divergences are less singular in our model. In the gauge model, matter fermions are introduced on the discrete lattice following Wilson. Then, the 4d gauge interactions are correctly generated from the 3d theories even in the left-right asymmetric theories of the standard model. In order for this to occur, the Higgs fields as well as the gauge fields of the extra dimension should be generated by the fermion condensates. Therefore, the generation of the 4d standard model from the multiple copy of the 3d ones is quite promising. To solve the doubling problem in the weak interaction sector, two kinds of discrete lattices have to be introduced separately for L- and R-handed sectors, and the two types of Higgs fields should be generated. |
hep-th/0204070 | Malcolm Fairbairn | Malcolm Fairbairn, Michel H.G. Tytgat (ULB) | Inflation from a Tachyon Fluid? | 12 pages, 2 figures, minor corrections and comments on reheating
added | Phys.Lett. B546 (2002) 1-7 | 10.1016/S0370-2693(02)02638-2 | ULB-TH/02-13 | hep-th astro-ph gr-qc hep-ph | null | Motivated by recent works of Sen and Gibbons, we study the evolution of a
flat and homogeneous universe dominated by tachyon matter. In particular, we
analyse the necessary conditions for inflation in the early roll of a single
tachyon field.
| [
{
"created": "Mon, 8 Apr 2002 12:33:51 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Apr 2002 12:49:43 GMT",
"version": "v2"
},
{
"created": "Wed, 26 Jun 2002 09:07:00 GMT",
"version": "v3"
}
] | 2016-09-06 | [
[
"Fairbairn",
"Malcolm",
"",
"ULB"
],
[
"Tytgat",
"Michel H. G.",
"",
"ULB"
]
] | Motivated by recent works of Sen and Gibbons, we study the evolution of a flat and homogeneous universe dominated by tachyon matter. In particular, we analyse the necessary conditions for inflation in the early roll of a single tachyon field. |
1709.00854 | Jie Gu | Jie Gu, Tin Sulejmanpasic | High order perturbation theory for difference equations and Borel
summability of quantum mirror curves | 39 pages, 4 figures, and 4 tables. Bundled with the source files of
this document are the Mathematica notebooks for the package BenderWu,
including the new function BWDifference | null | 10.1007/JHEP12(2017)014 | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We adapt the Bender-Wu algorithm to solve perturbatively but very efficiently
the eigenvalue problem of "relativistic" quantum mechanical problems whose
Hamiltonians are difference operators of the exponential-polynomial type. We
implement the algorithm in the function BWDifference in the updated Mathematica
package BenderWu. With the help of BWDifference, we survey quantum mirror
curves of toric fano Calabi-Yau threefolds, and find strong evidence that not
only are the perturbative eigenenergies of the associated 1d quantum mechanical
problems Borel summable, but also that the Borel sums are exact.
| [
{
"created": "Mon, 4 Sep 2017 08:08:41 GMT",
"version": "v1"
}
] | 2018-01-17 | [
[
"Gu",
"Jie",
""
],
[
"Sulejmanpasic",
"Tin",
""
]
] | We adapt the Bender-Wu algorithm to solve perturbatively but very efficiently the eigenvalue problem of "relativistic" quantum mechanical problems whose Hamiltonians are difference operators of the exponential-polynomial type. We implement the algorithm in the function BWDifference in the updated Mathematica package BenderWu. With the help of BWDifference, we survey quantum mirror curves of toric fano Calabi-Yau threefolds, and find strong evidence that not only are the perturbative eigenenergies of the associated 1d quantum mechanical problems Borel summable, but also that the Borel sums are exact. |
2209.00699 | Henrique Boschi-Filho | Nathan G. Caldeira, Carlos A. D. Zarro, Henrique Boschi-Filho | Bosonic and Fermionic Holographic Fluctuation and Dissipation at finite
temperature and density | 37 pages, 1 table, no figures. This version matches the published one
in PRD | Physical Review D 109, 046020 (2024) | 10.1103/PhysRevD.109.046020 | null | hep-th cond-mat.other hep-ph | http://creativecommons.org/licenses/by/4.0/ | In this paper we investigate some general aspects of fluctuation and
dissipation in the holographic scenario at zero and finite density. We model
this situation with a probe string in a diagonal metric representing a black
brane. The string stretches from the black brane to a probe brane thus
simulating a stochastic driven particle. In this scenario, we compute the
admittance, the diffusion coefficient, the correlation functions and the
regularized mean square displacement, for bosons and fermions, all from the
metric components. We check these calculations with the fluctuation-dissipation
theorem. Further, we show that at finite temperature and density, the mean
square displacement in the limit of short times reproduces the usual quadratic
(ballistic) behavior, for bosons and fermions. For large times, we find
ultraslow diffusive processes in various cases, except for bosons at zero
chemical potential. We apply this general analysis in two different models:
hyperscaling violation at finite temperature and a charged dilatonic AdS black
hole, both for bosons and fermions. This is important because we found the
fermionic diffusion in systems which allow the appearance of Fermi surfaces and
Fermi liquids.
| [
{
"created": "Thu, 1 Sep 2022 19:14:26 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Apr 2024 21:17:33 GMT",
"version": "v2"
}
] | 2024-04-25 | [
[
"Caldeira",
"Nathan G.",
""
],
[
"Zarro",
"Carlos A. D.",
""
],
[
"Boschi-Filho",
"Henrique",
""
]
] | In this paper we investigate some general aspects of fluctuation and dissipation in the holographic scenario at zero and finite density. We model this situation with a probe string in a diagonal metric representing a black brane. The string stretches from the black brane to a probe brane thus simulating a stochastic driven particle. In this scenario, we compute the admittance, the diffusion coefficient, the correlation functions and the regularized mean square displacement, for bosons and fermions, all from the metric components. We check these calculations with the fluctuation-dissipation theorem. Further, we show that at finite temperature and density, the mean square displacement in the limit of short times reproduces the usual quadratic (ballistic) behavior, for bosons and fermions. For large times, we find ultraslow diffusive processes in various cases, except for bosons at zero chemical potential. We apply this general analysis in two different models: hyperscaling violation at finite temperature and a charged dilatonic AdS black hole, both for bosons and fermions. This is important because we found the fermionic diffusion in systems which allow the appearance of Fermi surfaces and Fermi liquids. |
1611.03163 | Tomonori Ugajin | Tomonori Ugajin | Mutual information of excited states and relative entropy of two
disjoint subsystems in CFT | 18 pages | null | 10.1007/JHEP10(2017)184 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we first study mutual information of excited states in the
small subsystem size limit in generic conformal field theory. We then discuss
relative entropy of two disjoint subsystems in the same limit.
| [
{
"created": "Thu, 10 Nov 2016 02:14:46 GMT",
"version": "v1"
}
] | 2017-11-22 | [
[
"Ugajin",
"Tomonori",
""
]
] | In this paper, we first study mutual information of excited states in the small subsystem size limit in generic conformal field theory. We then discuss relative entropy of two disjoint subsystems in the same limit. |
hep-th/9510075 | Sudhakar Panda | Ashok Das and Sudhakar Panda | Gelfand-Dikii Brackets for Nonstandard Supersymmetric Systems | Plain Tex file, no figures | Mod.Phys.Lett. A11 (1996) 723-730 | 10.1142/S0217732396000722 | MRI-PHYS/20/95, UR-1437 | hep-th | null | We show how a general nonstandard Lax equation (supersymmetric or otherwise)
can be expressed as a standard Lax equation. This enables us to define the
Gelfand-Dikii brackets for a nonstandard supersymmetric equation. We discuss
the Hamiltonian structures for the nonstandard super KP system and work out
explicitly the two Hamiltonian structures of the supersymmetric Two Boson
system from this point of view.
| [
{
"created": "Wed, 11 Oct 1995 15:14:31 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Das",
"Ashok",
""
],
[
"Panda",
"Sudhakar",
""
]
] | We show how a general nonstandard Lax equation (supersymmetric or otherwise) can be expressed as a standard Lax equation. This enables us to define the Gelfand-Dikii brackets for a nonstandard supersymmetric equation. We discuss the Hamiltonian structures for the nonstandard super KP system and work out explicitly the two Hamiltonian structures of the supersymmetric Two Boson system from this point of view. |
hep-th/9804012 | Andy Wilkins | Andy Wilkins (University of Adelaide) | Massive Fields and the 2D String | 17 pages, Latex. V2: One ref added, minor rephrasing of the first
paragraph in Sec.3.1, typos in (56) and (57) corrected | Mod.Phys.Lett. A13 (1998) 1289-1308 | 10.1142/S0217732398001352 | ADP-98-9/M63 | hep-th | null | The first massive level of closed bosonic string theory is studied.
Free-field equations are derived by imposing Weyl invariance on the world
sheet. A two-parameter solution to the equation of motion and constraints is
found in two dimensions with a flat linear-dilaton background. One-to-one
tachyon scattering is studied in this background. The results support Dhar,
Mandal and Wadia's proposal that 2D critical string theory corresponds to the
c=1 matrix model in which both sides of the Fermi sea are excited.
| [
{
"created": "Thu, 2 Apr 1998 08:04:17 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Jun 1998 01:45:23 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Wilkins",
"Andy",
"",
"University of Adelaide"
]
] | The first massive level of closed bosonic string theory is studied. Free-field equations are derived by imposing Weyl invariance on the world sheet. A two-parameter solution to the equation of motion and constraints is found in two dimensions with a flat linear-dilaton background. One-to-one tachyon scattering is studied in this background. The results support Dhar, Mandal and Wadia's proposal that 2D critical string theory corresponds to the c=1 matrix model in which both sides of the Fermi sea are excited. |
1704.00482 | James Edwards Dr | James P. Edwards and Christian Schubert | One-particle reducible contribution to the one-loop scalar propagator in
a constant field | 13 pages, 4 figures. Minor corrections made | null | 10.1016/j.nuclphysb.2017.08.002 | null | hep-th astro-ph.HE hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently, Gies and Karbstein showed that the two-loop Euler-Heisenberg
Lagrangian receives a finite one-particle reducible contribution in addition to
the well-known one-particle irreducible one. Here, we demonstrate that a
similar contribution exists for the propagator in a constant field already at
the one-loop level, and we calculate this contribution for the scalar QED case.
We also present an independent derivation of the Gies-Karbstein result using
the worldline formalism, treating the scalar and spinor QED cases in a unified
manner.
| [
{
"created": "Mon, 3 Apr 2017 09:11:49 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Apr 2017 17:51:30 GMT",
"version": "v2"
}
] | 2018-02-01 | [
[
"Edwards",
"James P.",
""
],
[
"Schubert",
"Christian",
""
]
] | Recently, Gies and Karbstein showed that the two-loop Euler-Heisenberg Lagrangian receives a finite one-particle reducible contribution in addition to the well-known one-particle irreducible one. Here, we demonstrate that a similar contribution exists for the propagator in a constant field already at the one-loop level, and we calculate this contribution for the scalar QED case. We also present an independent derivation of the Gies-Karbstein result using the worldline formalism, treating the scalar and spinor QED cases in a unified manner. |
hep-th/0610224 | Vincent Rivasseau | Margherita Disertori and Vincent Rivasseau | Two and Three Loops Beta Function of Non Commutative $\Phi^4_4$ Theory | 24 pages, 7 figures | Eur.Phys.J.C50:661-671,2007 | 10.1140/epjc/s10052-007-0211-0 | null | hep-th | null | The simplest non commutative renormalizable field theory, the $\phi_4^4$
model on four dimensional Moyal space with harmonic potential is asymptotically
safe at one loop, as shown by H. Grosse and R. Wulkenhaar. We extend this
result up to three loops. If this remains true at any loop, it should allow a
full non perturbative construction of this model.
| [
{
"created": "Fri, 20 Oct 2006 13:17:50 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Disertori",
"Margherita",
""
],
[
"Rivasseau",
"Vincent",
""
]
] | The simplest non commutative renormalizable field theory, the $\phi_4^4$ model on four dimensional Moyal space with harmonic potential is asymptotically safe at one loop, as shown by H. Grosse and R. Wulkenhaar. We extend this result up to three loops. If this remains true at any loop, it should allow a full non perturbative construction of this model. |
hep-th/0205277 | Wade Naylor | Wade Naylor, Misao Sasaki | Casimir energy for de Sitter branes in bulk AdS(5) | 6 pages, no figures, references added, typos corrected, to be
published in Phys. Lett. B | Phys.Lett.B542:289-294,2002 | 10.1016/S0370-2693(02)02339-0 | OU-TAP-180 | hep-th gr-qc | null | The vacuum energy for a massless conformally coupled scalar field in a brane
world set up, corresponding to de Sitter branes in a bulk anti-de Sitter
spacetime, is calculated. We use the Euclidean version of the metric which can
be conformally related to a metric similar in form to the Einstein universe
(S^4 times R). Employing zeta-function regularisation we evaluate the one-loop
effective potential and show that the vacuum energy is zero for the one brane
and non-zero for the two brane configuration. We comment on the back-reaction
of this Casimir energy and on the inclusion of a mass term or non-conformal
coupling.
| [
{
"created": "Mon, 27 May 2002 11:03:30 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Jun 2002 08:48:15 GMT",
"version": "v2"
},
{
"created": "Wed, 14 Aug 2002 05:06:33 GMT",
"version": "v3"
}
] | 2009-10-09 | [
[
"Naylor",
"Wade",
""
],
[
"Sasaki",
"Misao",
""
]
] | The vacuum energy for a massless conformally coupled scalar field in a brane world set up, corresponding to de Sitter branes in a bulk anti-de Sitter spacetime, is calculated. We use the Euclidean version of the metric which can be conformally related to a metric similar in form to the Einstein universe (S^4 times R). Employing zeta-function regularisation we evaluate the one-loop effective potential and show that the vacuum energy is zero for the one brane and non-zero for the two brane configuration. We comment on the back-reaction of this Casimir energy and on the inclusion of a mass term or non-conformal coupling. |
hep-th/0003025 | Barak Kol | Amihay Hanany, Barak Kol | On Orientifolds, Discrete Torsion, Branes and M Theory | 29 pages, 3 figures, version published in JHEP | JHEP 0006 (2000) 013 | 10.1088/1126-6708/2000/06/013 | null | hep-th | null | We find some lifts to M theory of orientifold and orbifold planes including
the O1, O3 and O5 planes of Type IIB and their transformations under SL(2,Z).
The possible discrete torsion variants (or K theory classes) are explored, and
are interpreted as arising from brane intersections with planes. We find new
variants of the O0 and of an orbifold line (OF1) and determine their tensions
in some cases. A systematic review of orientifolds, M orientifolds, and known M
lifts, with some new clarifications is included together with a discussion of
the role of T duality.
| [
{
"created": "Fri, 3 Mar 2000 13:37:40 GMT",
"version": "v1"
},
{
"created": "Sun, 2 Jul 2000 09:52:30 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Hanany",
"Amihay",
""
],
[
"Kol",
"Barak",
""
]
] | We find some lifts to M theory of orientifold and orbifold planes including the O1, O3 and O5 planes of Type IIB and their transformations under SL(2,Z). The possible discrete torsion variants (or K theory classes) are explored, and are interpreted as arising from brane intersections with planes. We find new variants of the O0 and of an orbifold line (OF1) and determine their tensions in some cases. A systematic review of orientifolds, M orientifolds, and known M lifts, with some new clarifications is included together with a discussion of the role of T duality. |
hep-th/9703215 | Ofer Aharony | Ofer Aharony | IR Duality in d=3 N=2 Supersymmetric USp(2N_c) and U(N_c) Gauge Theories | 9 pages, harvmac | Phys.Lett.B404:71-76,1997 | 10.1016/S0370-2693(97)00530-3 | RU-97-18 | hep-th | null | We suggest IR-dual descriptions for d=3 N=2 supersymmetric gauge theories
with gauge groups USp(2N_c) and U(N_c) and matter in the fundamental
representation. We relate this duality to the IR duality of d=4 N=1 SQCD
theories, and in one case also to mirror symmetry.
| [
{
"created": "Sun, 30 Mar 1997 16:14:46 GMT",
"version": "v1"
}
] | 2009-09-29 | [
[
"Aharony",
"Ofer",
""
]
] | We suggest IR-dual descriptions for d=3 N=2 supersymmetric gauge theories with gauge groups USp(2N_c) and U(N_c) and matter in the fundamental representation. We relate this duality to the IR duality of d=4 N=1 SQCD theories, and in one case also to mirror symmetry. |
hep-th/0410189 | Rolf Schimmrigk | Monika Lynker, Rolf Schimmrigk | Geometric Kac-Moody Modularity | 28 pages | J.Geom.Phys. 56 (2006) 843-863 | 10.1016/j.geomphys.2005.05.003 | NSF-KITP-04-105 | hep-th | null | It is shown how the arithmetic structure of algebraic curves encoded in the
Hasse-Weil L-function can be related to affine Kac-Moody algebras. This result
is useful in relating the arithmetic geometry of Calabi-Yau varieties to the
underlying exactly solvable theory. In the case of the genus three Fermat curve
we identify the Hasse-Weil L-function with the Mellin transform of the twist of
a number theoretic modular form derived from the string function of a
non-twisted affine Lie algebra. The twist character is associated to the number
field of quantum dimensions of the conformal field theory.
| [
{
"created": "Mon, 18 Oct 2004 23:07:29 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Lynker",
"Monika",
""
],
[
"Schimmrigk",
"Rolf",
""
]
] | It is shown how the arithmetic structure of algebraic curves encoded in the Hasse-Weil L-function can be related to affine Kac-Moody algebras. This result is useful in relating the arithmetic geometry of Calabi-Yau varieties to the underlying exactly solvable theory. In the case of the genus three Fermat curve we identify the Hasse-Weil L-function with the Mellin transform of the twist of a number theoretic modular form derived from the string function of a non-twisted affine Lie algebra. The twist character is associated to the number field of quantum dimensions of the conformal field theory. |
1510.04666 | Ruggero Ferrari | Ruggero Ferrari and Mario Raciti | On effective Chern-Simons Term induced by a Local CPT-Violating Coupling
using $\gamma_5$ in Dimensional Regularization | 34 pages, no figures | null | null | MIT-CTP4680, IFUM-1041-FT, October 2015 | hep-th astro-ph.CO hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We resume a long-standing, yet not forgotten, debate on whether a
Chern-Simons birefringence can be generated by a local term
$b_\mu\bar\psi\gamma^\mu \gamma_5\psi$ in the Lagrangian (where $b_\mu$ are
constants). In the present paper we implement a new way of managing $\gamma_5$
in dimensional regularization. Gauge invariance in the underlying theory (QED)
is enforced by this choice of defining divergent amplitudes. We investigate the
singular behavior of the vector meson two-point-function around the $m^2=0$ and
$p^2=0$ point. We find that the coefficient of the effective Chern-Simons can
be finite or zero. It depends on how one takes the limits: they cannot be
interchanged due to the associate change of symmetry. For $m^2=0$ we evaluate
also the self-mass of the photon at the second orderin $b_\mu$. We find zero.
| [
{
"created": "Thu, 15 Oct 2015 19:04:44 GMT",
"version": "v1"
}
] | 2015-10-16 | [
[
"Ferrari",
"Ruggero",
""
],
[
"Raciti",
"Mario",
""
]
] | We resume a long-standing, yet not forgotten, debate on whether a Chern-Simons birefringence can be generated by a local term $b_\mu\bar\psi\gamma^\mu \gamma_5\psi$ in the Lagrangian (where $b_\mu$ are constants). In the present paper we implement a new way of managing $\gamma_5$ in dimensional regularization. Gauge invariance in the underlying theory (QED) is enforced by this choice of defining divergent amplitudes. We investigate the singular behavior of the vector meson two-point-function around the $m^2=0$ and $p^2=0$ point. We find that the coefficient of the effective Chern-Simons can be finite or zero. It depends on how one takes the limits: they cannot be interchanged due to the associate change of symmetry. For $m^2=0$ we evaluate also the self-mass of the photon at the second orderin $b_\mu$. We find zero. |
hep-th/9811088 | David Kastor | David Kastor and Jennie Traschen | BPS Force Balances via Spin-Spin Interactions | 11 pages | Class.Quant.Grav. 16 (1999) 1265-1271 | 10.1088/0264-9381/16/4/014 | UMHEP-456 | hep-th | null | We study two systems of BPS solitons in which spin-spin interactions are
important in establishing the force balances which allow static, multi-soliton
solutions to exist. Solitons in the Israel-Wilson-Perjes (IWP) spacetimes each
carry arbitrary, classical angular momenta. Solitons in the Aichelburg-Embacher
"superpartner" spacetimes carry quantum mechanical spin, which originates in
the zero-modes of the gravitino field of N=2 supergravity in an extreme
Reissner-Nordstrom background. In each case we find a cancellation between
gravitational spin-spin and magnetic dipole-dipole forces, in addition to the
usual one between Newtonian gravitational attraction and Coulombic
electrostatic repulsion. In both cases, we analyze the forces between two
solitons by treating one of the solitons as a probe or test particle, with the
appropriate properties, moving in the background of the other. In the IWP case,
the equation of motion for a spinning test particle, originally due to
Papapetrou, includes a coupling between the background curvature and the spin
of the test particle. In the superpartner case, the relevant equation of motion
follows from a kappa-symmetric superparticle action.
| [
{
"created": "Tue, 10 Nov 1998 21:48:32 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Kastor",
"David",
""
],
[
"Traschen",
"Jennie",
""
]
] | We study two systems of BPS solitons in which spin-spin interactions are important in establishing the force balances which allow static, multi-soliton solutions to exist. Solitons in the Israel-Wilson-Perjes (IWP) spacetimes each carry arbitrary, classical angular momenta. Solitons in the Aichelburg-Embacher "superpartner" spacetimes carry quantum mechanical spin, which originates in the zero-modes of the gravitino field of N=2 supergravity in an extreme Reissner-Nordstrom background. In each case we find a cancellation between gravitational spin-spin and magnetic dipole-dipole forces, in addition to the usual one between Newtonian gravitational attraction and Coulombic electrostatic repulsion. In both cases, we analyze the forces between two solitons by treating one of the solitons as a probe or test particle, with the appropriate properties, moving in the background of the other. In the IWP case, the equation of motion for a spinning test particle, originally due to Papapetrou, includes a coupling between the background curvature and the spin of the test particle. In the superpartner case, the relevant equation of motion follows from a kappa-symmetric superparticle action. |
0811.1333 | Emmanuil Saridakis | Emmanuel N. Saridakis | Theoretical Limits on the Equation-of-State Parameter of Phantom
Cosmology | 7 pages, 7 figures | Phys.Lett.B676:7-11,2009 | 10.1016/j.physletb.2009.04.065 | null | hep-th astro-ph gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the restrictions on the equation-of-state parameter of phantom
cosmology, due to the minimum quantum gravitational requirements. We find that
for all the examined $w_\Lambda(z)$-parametrizations and for arbitrary phantom
potentials and spatial curvature, the phantom equation-of-state parameter is
not restricted at all. This is in radical contrast with the quintessence
paradigm, and makes phantom cosmology more robust and capable of constituting
the underlying mechanism for dark energy.
| [
{
"created": "Sun, 9 Nov 2008 12:21:43 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Apr 2009 10:32:28 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Saridakis",
"Emmanuel N.",
""
]
] | We investigate the restrictions on the equation-of-state parameter of phantom cosmology, due to the minimum quantum gravitational requirements. We find that for all the examined $w_\Lambda(z)$-parametrizations and for arbitrary phantom potentials and spatial curvature, the phantom equation-of-state parameter is not restricted at all. This is in radical contrast with the quintessence paradigm, and makes phantom cosmology more robust and capable of constituting the underlying mechanism for dark energy. |
1410.0616 | John R. Hiller | J.R. Hiller | The Casimir effect in light-front quantization | 7 pages, no figures; RevTeX 4.1; based on talk at Lightcone 2014
workshop, Raleigh, NC, May 26-30, 2014 | null | 10.1007/s00601-014-0915-2 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the standard result for the Casimir force between conducting
plates at rest in an inertial frame can be computed in light-front
quantization. This is not the same as light-front analyses where the plates are
at "rest" in an infinite momentum frame. In that case, Lenz and Steinbacher
have shown that the result does not agree with the standard result for plates
at rest. The two important ingredients in the present analysis are a careful
treatment of the boundary conditions, inspired by the work of Almeida et al. on
oblique light-front coordinates, and computation of the ordinary energy
density, rather than the light-front energy density.
| [
{
"created": "Thu, 2 Oct 2014 17:30:42 GMT",
"version": "v1"
}
] | 2015-09-30 | [
[
"Hiller",
"J. R.",
""
]
] | We show that the standard result for the Casimir force between conducting plates at rest in an inertial frame can be computed in light-front quantization. This is not the same as light-front analyses where the plates are at "rest" in an infinite momentum frame. In that case, Lenz and Steinbacher have shown that the result does not agree with the standard result for plates at rest. The two important ingredients in the present analysis are a careful treatment of the boundary conditions, inspired by the work of Almeida et al. on oblique light-front coordinates, and computation of the ordinary energy density, rather than the light-front energy density. |
hep-th/0505150 | Forough Nasseri | Forough Nasseri | Fine Structure Constant in the Spacetime of a Cosmic String | 5 pages, Published in Phys. Lett. B | Phys.Lett. B614 (2005) 140-142 | 10.1016/j.physletb.2005.04.012 | null | hep-th | null | We calculate the fine structure constant in the spacetime of a cosmic string.
In the presence of a cosmic string the value of the fine structure constant
reduces. We also discuss on numerical results.
| [
{
"created": "Tue, 17 May 2005 11:20:24 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Nasseri",
"Forough",
""
]
] | We calculate the fine structure constant in the spacetime of a cosmic string. In the presence of a cosmic string the value of the fine structure constant reduces. We also discuss on numerical results. |
1409.4019 | Mehdi Dehghani | Mehdi Dehghani, Maryam Mardaani, Majid Monemzadeh, Salman Abarghouei
Nejad | First class models from linear and nonlinear second class constraints | minor corrections, some refs added, final version accepted for
publication in Mod. Phys. Lett. A | null | 10.1142/S0217732315501990 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Two models with linear and nonlinear second class constraints are considered
and gauged by embedding in an extended phase space. These models are the free
non-relativistic particle on a hyperplane and hyper sphere in configuration
space. For the first model we construct its gauged corresponding by the
condition of converting second class system to first class one, directly. In
contrast the first class system related to the free particle on hyper sphere is
derived by the BFT embedding procedure, where its steps are infinite. We give a
practical formula for gauging linear and some of the nonlinear second class
systems, based on the simplified BFT method. As a result of the gauging two
models, we show that in the conversion of second class to the first class
constraints the minimum number of phase space degrees of freedom for both
systems is a pair of phase space coordinate. This pair for first system is a
coordinate and its momentum conjugate, but Poisson structure of embedded
non-relativistic particle on hyper sphere is a non-trivial one. We derive
infinite correction terms for the Hamiltonian of the nonlinear constraints. The
summation is done and constructs an interacting gauged Hamiltonian. We find an
open algebra for three first class objects of the embedded nonlinear system.
| [
{
"created": "Sun, 14 Sep 2014 05:54:11 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Sep 2015 10:41:58 GMT",
"version": "v2"
}
] | 2015-12-02 | [
[
"Dehghani",
"Mehdi",
""
],
[
"Mardaani",
"Maryam",
""
],
[
"Monemzadeh",
"Majid",
""
],
[
"Nejad",
"Salman Abarghouei",
""
]
] | Two models with linear and nonlinear second class constraints are considered and gauged by embedding in an extended phase space. These models are the free non-relativistic particle on a hyperplane and hyper sphere in configuration space. For the first model we construct its gauged corresponding by the condition of converting second class system to first class one, directly. In contrast the first class system related to the free particle on hyper sphere is derived by the BFT embedding procedure, where its steps are infinite. We give a practical formula for gauging linear and some of the nonlinear second class systems, based on the simplified BFT method. As a result of the gauging two models, we show that in the conversion of second class to the first class constraints the minimum number of phase space degrees of freedom for both systems is a pair of phase space coordinate. This pair for first system is a coordinate and its momentum conjugate, but Poisson structure of embedded non-relativistic particle on hyper sphere is a non-trivial one. We derive infinite correction terms for the Hamiltonian of the nonlinear constraints. The summation is done and constructs an interacting gauged Hamiltonian. We find an open algebra for three first class objects of the embedded nonlinear system. |
1912.11030 | Anirban Dinda | Jyotirmoy Bhattacharya, Sayantani Bhattacharyya, Anirban Dinda, Nilay
Kundu | An entropy current for dynamical black holes in four-derivative theories
of gravity | 53+1 pages; version-2: References added and typos corrected | JHEP 06 (2020) 017 | 10.1007/JHEP06(2020)017 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose an entropy current for dynamical black holes in a theory with
arbitrary four derivative corrections to Einstein's gravity, linearized around
a stationary black hole. The Einstein-Gauss-Bonnet theory is a special case of
the class of theories that we consider. Within our approximation, our
construction allows us to write down a completely local version of the second
law of black hole thermodynamics, in the presence of the higher derivative
corrections considered here. This ultra-local, stronger form of the second law
is a generalization of a weaker form, applicable to the total entropy,
integrated over a compact `time-slice' of the horizon, a proof of which has
been recently presented in arXiv:1504.08040. We also provide a general
algorithm to construct the entropy current for the four derivative theories,
which may be straightforwardly generalized to arbitrary higher derivative
corrections to Einstein's gravity. This algorithm highlights the possible
ambiguities in defining the entropy current.
| [
{
"created": "Mon, 23 Dec 2019 18:50:07 GMT",
"version": "v1"
},
{
"created": "Sun, 21 Jun 2020 12:03:31 GMT",
"version": "v2"
}
] | 2020-06-23 | [
[
"Bhattacharya",
"Jyotirmoy",
""
],
[
"Bhattacharyya",
"Sayantani",
""
],
[
"Dinda",
"Anirban",
""
],
[
"Kundu",
"Nilay",
""
]
] | We propose an entropy current for dynamical black holes in a theory with arbitrary four derivative corrections to Einstein's gravity, linearized around a stationary black hole. The Einstein-Gauss-Bonnet theory is a special case of the class of theories that we consider. Within our approximation, our construction allows us to write down a completely local version of the second law of black hole thermodynamics, in the presence of the higher derivative corrections considered here. This ultra-local, stronger form of the second law is a generalization of a weaker form, applicable to the total entropy, integrated over a compact `time-slice' of the horizon, a proof of which has been recently presented in arXiv:1504.08040. We also provide a general algorithm to construct the entropy current for the four derivative theories, which may be straightforwardly generalized to arbitrary higher derivative corrections to Einstein's gravity. This algorithm highlights the possible ambiguities in defining the entropy current. |
hep-th/0607188 | Peng Zhang | Ya-Li He, Peng Zhang | ZZ Brane Decay in D Dimensions | Latex, 19 pages; v2: references added; v3: minor improvement; v4:
published version in JHEP | JHEP0611:014,2006 | 10.1088/1126-6708/2006/11/014 | null | hep-th | null | In this paper we consider the ZZ brane decay in a D-dimensional background
with a linear dilaton and a Liouville potential switched on. We mainly
calculate the closed string emission rate during the decay process. For the
case of a spacelike dilaton we find a similar Hagedorn behavior, in the closed
string UV region, with the brane decay in the usual 26d and 2d bosonic string
theory. This means that all of the energy of the original brane converts into
outgoing closed strings. In the IR region the result is finite. We also give
some comments about the case that the dilaton is null.
| [
{
"created": "Tue, 25 Jul 2006 06:05:47 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Aug 2006 06:40:24 GMT",
"version": "v2"
},
{
"created": "Mon, 18 Sep 2006 06:43:41 GMT",
"version": "v3"
},
{
"created": "Sat, 11 Nov 2006 04:52:28 GMT",
"version": "v4"
}
] | 2009-11-11 | [
[
"He",
"Ya-Li",
""
],
[
"Zhang",
"Peng",
""
]
] | In this paper we consider the ZZ brane decay in a D-dimensional background with a linear dilaton and a Liouville potential switched on. We mainly calculate the closed string emission rate during the decay process. For the case of a spacelike dilaton we find a similar Hagedorn behavior, in the closed string UV region, with the brane decay in the usual 26d and 2d bosonic string theory. This means that all of the energy of the original brane converts into outgoing closed strings. In the IR region the result is finite. We also give some comments about the case that the dilaton is null. |
hep-th/0110178 | K. A. Saraikin | A. S. Gorsky, K. A. Saraikin, K. G. Selivanov | Schwinger type processes via branes and their gravity duals | 29pp, LaTeX; v3. reference added | Nucl.Phys. B628 (2002) 270-294 | 10.1016/S0550-3213(02)00095-0 | ITEP-TH-46/01, LPTHE-01-55 | hep-th | null | We consider Schwinger type processes involving the creation of the charge and
monopole pairs in the external fields and propose interpretation of these
processes via corresponding brane configurations in Type IIB string theory. We
suggest simple description of some new interesting nonperturbative processes
like monopole/dyon transitions in the electric field and W-boson decay in the
magnetic field using the brane language. Nonperturbative pair production in the
strong coupling regime using the AdS/CFT correspondence is studied. The
treatment of the similar processes in the noncommutative theories when
noncommutativity is traded for the background fields is presented and the
possible role of the critical magnetic field which is S-dual to the critical
electric field is discussed.
| [
{
"created": "Fri, 19 Oct 2001 06:45:47 GMT",
"version": "v1"
},
{
"created": "Sat, 20 Oct 2001 12:00:42 GMT",
"version": "v2"
},
{
"created": "Tue, 30 Oct 2001 12:54:48 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Gorsky",
"A. S.",
""
],
[
"Saraikin",
"K. A.",
""
],
[
"Selivanov",
"K. G.",
""
]
] | We consider Schwinger type processes involving the creation of the charge and monopole pairs in the external fields and propose interpretation of these processes via corresponding brane configurations in Type IIB string theory. We suggest simple description of some new interesting nonperturbative processes like monopole/dyon transitions in the electric field and W-boson decay in the magnetic field using the brane language. Nonperturbative pair production in the strong coupling regime using the AdS/CFT correspondence is studied. The treatment of the similar processes in the noncommutative theories when noncommutativity is traded for the background fields is presented and the possible role of the critical magnetic field which is S-dual to the critical electric field is discussed. |
hep-th/9701166 | John Schwarz | Mina Aganagic, Jaemo Park, Costin Popescu, and John H. Schwarz | World-Volume Action of the M Theory Five-Brane | 30 pages, latex, no figures | Nucl.Phys. B496 (1997) 191-214 | 10.1016/S0550-3213(97)00227-7 | CALT-68-2093 | hep-th | null | This paper presents a 6d world-volume action that describes the dynamics of
the M theory five-brane in a flat 11d space-time background. The world-volume
action has global 11d super-Poincare invariance, as well as 6d general
coordinate invariance and kappa symmetry, which are realized as local
symmetries. The paper mostly considers a formulation in which general
coordinate invariance is not manifest in one direction. However, it also
describes briefly an alternative formulation, due to Pasti, Sorokin, and Tonin,
in which general coordinate invariance is manifest. The latter approach
requires auxiliary fields and new gauge invariances.
| [
{
"created": "Wed, 29 Jan 1997 03:01:24 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Feb 1997 19:02:26 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Aganagic",
"Mina",
""
],
[
"Park",
"Jaemo",
""
],
[
"Popescu",
"Costin",
""
],
[
"Schwarz",
"John H.",
""
]
] | This paper presents a 6d world-volume action that describes the dynamics of the M theory five-brane in a flat 11d space-time background. The world-volume action has global 11d super-Poincare invariance, as well as 6d general coordinate invariance and kappa symmetry, which are realized as local symmetries. The paper mostly considers a formulation in which general coordinate invariance is not manifest in one direction. However, it also describes briefly an alternative formulation, due to Pasti, Sorokin, and Tonin, in which general coordinate invariance is manifest. The latter approach requires auxiliary fields and new gauge invariances. |
1909.11743 | Wout Merbis | Eric A. Bergshoeff, Wout Merbis and Paul K. Townsend | On asymptotic charges in 3D gravity | 26 pages; v2, references added | null | 10.1088/1361-6382/ab5ea5 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A variant of the ADT method for the determination of gravitational charges as
integrals at infinity is applied to "Chern-Simons-like" theories of 3D gravity,
and the result is used to find the mass and angular momentum of the BTZ black
hole considered as a solution of a variety of massive 3D gravity field
equations. The results agree with many obtained previously by other methods,
including our own results for "Minimal Massive Gravity", but they disagree with
others, including recently reported results for "Exotic Massive Gravity". We
also find the central charges of the asymptotic conformal symmetry algebra for
the generic 3D gravity model with AdS vacuum and discuss implications for black
hole thermodynamics.
| [
{
"created": "Wed, 25 Sep 2019 20:11:40 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Sep 2019 18:30:14 GMT",
"version": "v2"
}
] | 2020-01-29 | [
[
"Bergshoeff",
"Eric A.",
""
],
[
"Merbis",
"Wout",
""
],
[
"Townsend",
"Paul K.",
""
]
] | A variant of the ADT method for the determination of gravitational charges as integrals at infinity is applied to "Chern-Simons-like" theories of 3D gravity, and the result is used to find the mass and angular momentum of the BTZ black hole considered as a solution of a variety of massive 3D gravity field equations. The results agree with many obtained previously by other methods, including our own results for "Minimal Massive Gravity", but they disagree with others, including recently reported results for "Exotic Massive Gravity". We also find the central charges of the asymptotic conformal symmetry algebra for the generic 3D gravity model with AdS vacuum and discuss implications for black hole thermodynamics. |
hep-th/9712010 | Aneesh Manohar | Gustavo Dotti and Aneesh V. Manohar | Supersymmetric Gauge Theories with an Affine Quantum Moduli Space | Incorrect proof that theories with constraints must have mu >=
mu(adj) replaced by a correct one (6 pages, uses revtex, amssymb, array) | Phys.Rev.Lett. 80 (1998) 2758-2761 | 10.1103/PhysRevLett.80.2758 | UCSD/PTH 97-35 | hep-th | null | All supersymmetric gauge theories based on simple groups which have an affine
quantum moduli space, i.e. one generated by gauge invariants with no relations,
W=0, and anomaly matching at the origin, are classified. It is shown that the
only theories with no gauge invariants (and moduli space equal to a single
point) are the two known examples, SU(5) with 5-bar + 10 and SO(10) with a
spinor. The index of the matter representation must be at least as big as the
index of the adjoint in theories which have a non-trivial relation among the
gauge invariants.
| [
{
"created": "Sun, 30 Nov 1997 22:13:31 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Dec 1997 17:26:41 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Dotti",
"Gustavo",
""
],
[
"Manohar",
"Aneesh V.",
""
]
] | All supersymmetric gauge theories based on simple groups which have an affine quantum moduli space, i.e. one generated by gauge invariants with no relations, W=0, and anomaly matching at the origin, are classified. It is shown that the only theories with no gauge invariants (and moduli space equal to a single point) are the two known examples, SU(5) with 5-bar + 10 and SO(10) with a spinor. The index of the matter representation must be at least as big as the index of the adjoint in theories which have a non-trivial relation among the gauge invariants. |
1308.3076 | Mokhtar Hassaine | Moises Bravo Gaete and Mokhtar Hassaine | Topological black holes for Einstein-Gauss-Bonnet gravity with a
nonminimal scalar field | 7 pages. Some misprints corrected and some references added | Phys. Rev. D 88, 104011 (2013) | 10.1103/PhysRevD.88.104011 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the Einstein-Gauss-Bonnet gravity with a negative cosmological
constant together with a source given by a scalar field nonminimally coupled in
arbitrary dimension D. For a certain election of the cosmological and
Gauss-Bonnet coupling constants, we derive two classes of AdS black hole
solutions whose horizon is planar. The first family of black holes obtained for
a particular value of the nonminimal coupling parameter only depends on a
constant M, and the scalar field vanishes as M=0. The second class of solutions
corresponds to a two-parametric (with constants M and A) black hole stealth
configuration, that is a nontrivial scalar field with a black hole metric such
that both side (gravity and matter parts) of the Einstein equations vanishes.
In this case, in the vanishing M, the solution reduces to a stealth scalar
field on the pure AdS metric. We note that the existence of these two classes
of solutions is inherent of the particular choice of the coupling constants
and, they can not be promoted to spherical or hyperboloid black hole solutions
in a standard fashion. In the last part, we add to the original action some
exacts (D-1)-forms coupled to the scalar field. The direct benefit of
introducing such extra fields is to obtain black hole solutions with planar
horizon for arbitrary value of the nonminimal coupling parameter.
| [
{
"created": "Wed, 14 Aug 2013 10:00:32 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Sep 2013 15:32:56 GMT",
"version": "v2"
}
] | 2013-11-20 | [
[
"Gaete",
"Moises Bravo",
""
],
[
"Hassaine",
"Mokhtar",
""
]
] | We consider the Einstein-Gauss-Bonnet gravity with a negative cosmological constant together with a source given by a scalar field nonminimally coupled in arbitrary dimension D. For a certain election of the cosmological and Gauss-Bonnet coupling constants, we derive two classes of AdS black hole solutions whose horizon is planar. The first family of black holes obtained for a particular value of the nonminimal coupling parameter only depends on a constant M, and the scalar field vanishes as M=0. The second class of solutions corresponds to a two-parametric (with constants M and A) black hole stealth configuration, that is a nontrivial scalar field with a black hole metric such that both side (gravity and matter parts) of the Einstein equations vanishes. In this case, in the vanishing M, the solution reduces to a stealth scalar field on the pure AdS metric. We note that the existence of these two classes of solutions is inherent of the particular choice of the coupling constants and, they can not be promoted to spherical or hyperboloid black hole solutions in a standard fashion. In the last part, we add to the original action some exacts (D-1)-forms coupled to the scalar field. The direct benefit of introducing such extra fields is to obtain black hole solutions with planar horizon for arbitrary value of the nonminimal coupling parameter. |
1009.6207 | Peter Koroteev | Peter Koroteev, Alexander Monin, Walter Vinci | Large-N Solution of the Heterotic Weighted Non-Linear Sigma-Model | 34 pages, 10 figures, references added | Phys.Rev.D82:125023,2010 | 10.1103/PhysRevD.82.125023 | FTPI-MINN-10/26, UMN-TH-2918/10 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a heterotic two-dimensional N=(0,2) gauged non-linear sigma-model
whose target space is a weighted complex projective space. We consider the case
with N positively and N^~=N_F - N negatively charged fields. This model is
believed to give a description of the low-energy physics of a non-Abelian
semi-local vortex in a four-dimensional N=2 supersymmetric U(N) gauge theory
with N_F > N matter hypermultiplets. The supersymmetry in the latter theory is
broken down to N=1 by a mass term for the adjoint fields. We solve the model in
the large-N approximation and explore a two-dimensional subset of the mass
parameter space for which a discrete Z_{N-N^~} symmetry is preserved.
Supersymmetry is generically broken, but it is preserved for special values of
the masses where a new branch opens up and the model becomes super-conformal.
| [
{
"created": "Thu, 30 Sep 2010 17:51:24 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Dec 2010 00:43:39 GMT",
"version": "v2"
}
] | 2010-12-30 | [
[
"Koroteev",
"Peter",
""
],
[
"Monin",
"Alexander",
""
],
[
"Vinci",
"Walter",
""
]
] | We study a heterotic two-dimensional N=(0,2) gauged non-linear sigma-model whose target space is a weighted complex projective space. We consider the case with N positively and N^~=N_F - N negatively charged fields. This model is believed to give a description of the low-energy physics of a non-Abelian semi-local vortex in a four-dimensional N=2 supersymmetric U(N) gauge theory with N_F > N matter hypermultiplets. The supersymmetry in the latter theory is broken down to N=1 by a mass term for the adjoint fields. We solve the model in the large-N approximation and explore a two-dimensional subset of the mass parameter space for which a discrete Z_{N-N^~} symmetry is preserved. Supersymmetry is generically broken, but it is preserved for special values of the masses where a new branch opens up and the model becomes super-conformal. |
2404.11710 | Kaniba Mady Keita | Kaniba Mady Keita | On Machine Learning Complete Intersection Calabi-Yau 3-folds | null | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Gaussian Process Regression, Kernel Support Vector Regression, the random
forest, extreme gradient boosting and the generalized linear model algorithms
are applied to data of Complete Intersection Calabi-Yau 3-folds. It is shown
that Gaussian process regression is the most suitable for learning the Hodge
number h^(2,1)in terms of h^(1,1). The performance of this regression algorithm
is such that the Pearson correlation coefficient for the validation set is R^2
= 0.9999999995 with a Root Mean Square Error RMSE = 0.0002895011. As for the
calibration set, these two parameters are as follows: R^2 = 0.9999999994 and
RMSE = 0.0002854348. The training error and the cross-validation error of this
regression are 10^(-9) and 1.28 * 10^(-7), respectively. Learning the Hodge
number h^(1,1)in terms of h^(2,1) yields R^2 = 1.000000 and RMSE = 7.395731 *
10^(-5) for the validation set of the Gaussian Process regression.
| [
{
"created": "Wed, 17 Apr 2024 19:31:57 GMT",
"version": "v1"
}
] | 2024-04-19 | [
[
"Keita",
"Kaniba Mady",
""
]
] | Gaussian Process Regression, Kernel Support Vector Regression, the random forest, extreme gradient boosting and the generalized linear model algorithms are applied to data of Complete Intersection Calabi-Yau 3-folds. It is shown that Gaussian process regression is the most suitable for learning the Hodge number h^(2,1)in terms of h^(1,1). The performance of this regression algorithm is such that the Pearson correlation coefficient for the validation set is R^2 = 0.9999999995 with a Root Mean Square Error RMSE = 0.0002895011. As for the calibration set, these two parameters are as follows: R^2 = 0.9999999994 and RMSE = 0.0002854348. The training error and the cross-validation error of this regression are 10^(-9) and 1.28 * 10^(-7), respectively. Learning the Hodge number h^(1,1)in terms of h^(2,1) yields R^2 = 1.000000 and RMSE = 7.395731 * 10^(-5) for the validation set of the Gaussian Process regression. |
1106.3149 | Yuki Yokokura | Yuki Yokokura | Entropy Balance Equation of Spacetime Thermodynamics in f(R) Gravity | 15 pages, 3 figures; Revised argument | null | 10.1142/S0217751X12501606 | KUNS-2342 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study spacetime thermodynamics for non-equilibrium processes. We first
generalize the formulation of spacetime thermodynamics by using an observer
outside the horizon. Then we construct the entropy balance equation of
spacetime thermodynamics for non-equilibrium processes in f(R) gravity. The
coefficients of the expansion and shear terms are equal to the viscosities of
the black hole membrane paradigm, and a new entropy production term appears.
| [
{
"created": "Thu, 16 Jun 2011 06:13:56 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Jul 2011 18:46:40 GMT",
"version": "v2"
},
{
"created": "Thu, 11 Aug 2011 15:15:43 GMT",
"version": "v3"
},
{
"created": "Thu, 12 Jan 2012 13:47:09 GMT",
"version": "v4"
},
{
"c... | 2015-05-28 | [
[
"Yokokura",
"Yuki",
""
]
] | We study spacetime thermodynamics for non-equilibrium processes. We first generalize the formulation of spacetime thermodynamics by using an observer outside the horizon. Then we construct the entropy balance equation of spacetime thermodynamics for non-equilibrium processes in f(R) gravity. The coefficients of the expansion and shear terms are equal to the viscosities of the black hole membrane paradigm, and a new entropy production term appears. |
1107.3556 | Yasunori Nomura | Grant Larsen, Yasunori Nomura, H. L. L. Roberts | The Cosmological Constant in the Quantum Multiverse | 18 pages, 4 figures; matches the version published in Phys. Rev. D | null | 10.1103/PhysRevD.84.123512 | UCB-PTH-11/05; NSF-KITP-11-112 | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently, a new framework for describing the multiverse has been proposed
which is based on the principles of quantum mechanics. The framework allows for
well-defined predictions, both regarding global properties of the universe and
outcomes of particular experiments, according to a single probability formula.
This provides complete unification of the eternally inflating multiverse and
many worlds in quantum mechanics. In this paper we elucidate how cosmological
parameters can be calculated in this framework, and study the probability
distribution for the value of the cosmological constant. We consider both
positive and negative values, and find that the observed value is consistent
with the calculated distribution at an order of magnitude level. In particular,
in contrast to the case of earlier measure proposals, our framework prefers a
positive cosmological constant over a negative one. These results depend only
moderately on how we model galaxy formation and life evolution therein.
| [
{
"created": "Mon, 18 Jul 2011 20:00:02 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Oct 2011 21:19:42 GMT",
"version": "v2"
},
{
"created": "Wed, 14 Dec 2011 22:03:32 GMT",
"version": "v3"
}
] | 2013-05-29 | [
[
"Larsen",
"Grant",
""
],
[
"Nomura",
"Yasunori",
""
],
[
"Roberts",
"H. L. L.",
""
]
] | Recently, a new framework for describing the multiverse has been proposed which is based on the principles of quantum mechanics. The framework allows for well-defined predictions, both regarding global properties of the universe and outcomes of particular experiments, according to a single probability formula. This provides complete unification of the eternally inflating multiverse and many worlds in quantum mechanics. In this paper we elucidate how cosmological parameters can be calculated in this framework, and study the probability distribution for the value of the cosmological constant. We consider both positive and negative values, and find that the observed value is consistent with the calculated distribution at an order of magnitude level. In particular, in contrast to the case of earlier measure proposals, our framework prefers a positive cosmological constant over a negative one. These results depend only moderately on how we model galaxy formation and life evolution therein. |
hep-th/9709106 | Valerie Nowak | Stephen L. Adler and Achim Kempf | Corrections to the Emergent Canonical Commutation Relations Arising in
the Statistical Mechanics of Matrix Models | 32 pages, plain TeX, no figures | J.Math.Phys. 39 (1998) 5083-5097 | 10.1063/1.532579 | null | hep-th | null | We study the leading corrections to the emergent canonical commutation
relations arising in the statistical mechanics of matrix models, by deriving
several related Ward identities, and give conditions for these corrections to
be small. We show that emergent canonical commutators are possible only in
matrix models in complex Hilbert space for which the numbers of fermionic and
bosonic fundamental degrees of freedom are equal, suggesting that supersymmetry
will play a crucial role. Our results simplify, and sharpen, those obtained
earlier by Adler and Millard.
| [
{
"created": "Mon, 15 Sep 1997 19:19:45 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Sep 1997 15:33:38 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Adler",
"Stephen L.",
""
],
[
"Kempf",
"Achim",
""
]
] | We study the leading corrections to the emergent canonical commutation relations arising in the statistical mechanics of matrix models, by deriving several related Ward identities, and give conditions for these corrections to be small. We show that emergent canonical commutators are possible only in matrix models in complex Hilbert space for which the numbers of fermionic and bosonic fundamental degrees of freedom are equal, suggesting that supersymmetry will play a crucial role. Our results simplify, and sharpen, those obtained earlier by Adler and Millard. |
hep-th/0702172 | Martin Rivas | Martin Rivas | An interaction Lagrangian for two spin 1/2 elementary Dirac particles | null | J.Phys.A40:2541-2552,2007 | 10.1088/1751-8113/40/10/019 | null | hep-th math-ph math.MP | null | The kinematical formalism for describing spinning particles developped by the
author is based upon the idea that an elementary particle is a physical system
with no excited states. It can be annihilated by the interaction with its
antiparticle but, if not destroyed, its internal structure can never be
modified. All possible states of the particle are just kinematical
modifications of any one of them. The kinematical state space of the
variational formalism of an elementary particle is necessarily a homogeneous
space of the kinematical group of spacetime symmetries. By assuming Poincare
invariance we have already described a model of a classical spinning particle
which satisfies Dirac's equation when quantized. We have recently shown that
the spacetime symmetry group of this Dirac particle is larger than the Poincare
group. It also contains spacetime dilations and local rotations. In this work
we obtain an interaction Lagrangian for two Dirac particles, which is invariant
under this enlarged spacetime group. It describes a short- and long-range
interaction such that when averaged, to supress the spin content of the
particles, describes the instantaneous Coulomb interaction between them. As an
application, we analyse the interaction between two spinning particles, and
show that it is possible the existence of metastable bound states for two
particles of the same charge, when the spins are parallel and provided some
initial conditions are fulfilled. The possibility of formation of bound pairs
is due to the zitterbewegung spin structure of the particles because when the
spin is neglected, the bound states vanish.
| [
{
"created": "Wed, 21 Feb 2007 11:00:23 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Rivas",
"Martin",
""
]
] | The kinematical formalism for describing spinning particles developped by the author is based upon the idea that an elementary particle is a physical system with no excited states. It can be annihilated by the interaction with its antiparticle but, if not destroyed, its internal structure can never be modified. All possible states of the particle are just kinematical modifications of any one of them. The kinematical state space of the variational formalism of an elementary particle is necessarily a homogeneous space of the kinematical group of spacetime symmetries. By assuming Poincare invariance we have already described a model of a classical spinning particle which satisfies Dirac's equation when quantized. We have recently shown that the spacetime symmetry group of this Dirac particle is larger than the Poincare group. It also contains spacetime dilations and local rotations. In this work we obtain an interaction Lagrangian for two Dirac particles, which is invariant under this enlarged spacetime group. It describes a short- and long-range interaction such that when averaged, to supress the spin content of the particles, describes the instantaneous Coulomb interaction between them. As an application, we analyse the interaction between two spinning particles, and show that it is possible the existence of metastable bound states for two particles of the same charge, when the spins are parallel and provided some initial conditions are fulfilled. The possibility of formation of bound pairs is due to the zitterbewegung spin structure of the particles because when the spin is neglected, the bound states vanish. |
1909.11092 | Chiung Hwang | Dongwook Ghim, Chiung Hwang and Piljin Yi | Generalized Euler Index, Holonomy Saddles, and Wall-Crossing | 92 pages, 2 figures; v2: introduction elaborated and references added | null | 10.1007/JHEP03(2020)107 | KIAS-P19053 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We formulate Witten index problems for theories with two supercharges in a
Majorana doublet, as in $d=3$ $\mathcal N=1$ theories and dimensional reduction
thereof. Regardless of spacetime dimensions, the wall-crossing occurs
generically, in the parameter space of the real superpotential $W$. With scalar
multiplets only, the path integral reduces to a Gaussian one in terms of $dW$,
with a winding number interpretation, and allows an in-depth study of the
wall-crossing. After discussing the connection to well-known mathematical
approaches such as the Morse theory, we move on to Abelian gauge theories. Even
though the index theorem for the latter is a little more involved, we again
reduce it to winding number countings of the neutral part of $dW$. The holonomy
saddle plays key roles for both dimensions and also in relating indices across
dimensions.
| [
{
"created": "Tue, 24 Sep 2019 18:00:02 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Mar 2020 19:45:20 GMT",
"version": "v2"
}
] | 2020-04-22 | [
[
"Ghim",
"Dongwook",
""
],
[
"Hwang",
"Chiung",
""
],
[
"Yi",
"Piljin",
""
]
] | We formulate Witten index problems for theories with two supercharges in a Majorana doublet, as in $d=3$ $\mathcal N=1$ theories and dimensional reduction thereof. Regardless of spacetime dimensions, the wall-crossing occurs generically, in the parameter space of the real superpotential $W$. With scalar multiplets only, the path integral reduces to a Gaussian one in terms of $dW$, with a winding number interpretation, and allows an in-depth study of the wall-crossing. After discussing the connection to well-known mathematical approaches such as the Morse theory, we move on to Abelian gauge theories. Even though the index theorem for the latter is a little more involved, we again reduce it to winding number countings of the neutral part of $dW$. The holonomy saddle plays key roles for both dimensions and also in relating indices across dimensions. |
1002.0385 | Anton Kapustin | Anton Kapustin, Kevin Setter, Ketan Vyas | Surface operators in four-dimensional topological gauge theory and
Langlands duality | 60 pages, 8 figures | null | null | null | hep-th math.AG math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study surface and line operators in the GL-twisted N=4 gauge theory in
four dimensions. Their properties depend on the parameter t which determines
the BRST operator of theory. For t=i we propose a complete description of the
2-category of surface operators in terms of module categories. We also
determine the monoidal category of line operators which includes Wilson lines
as special objects. For t=1 and t=0 we only discuss surface and line operators
in the abelian case. Applications to the categorification of the local
geometric Langlands duality and its quantum version are briefly described. In
the appendices we discuss several 3d and 2d topological field theories with
gauge fields. In particular, we explain a relationship between the category of
branes in the gauged B-model and the equivariant derived category of coherent
sheaves.
| [
{
"created": "Tue, 2 Feb 2010 03:29:04 GMT",
"version": "v1"
}
] | 2010-02-04 | [
[
"Kapustin",
"Anton",
""
],
[
"Setter",
"Kevin",
""
],
[
"Vyas",
"Ketan",
""
]
] | We study surface and line operators in the GL-twisted N=4 gauge theory in four dimensions. Their properties depend on the parameter t which determines the BRST operator of theory. For t=i we propose a complete description of the 2-category of surface operators in terms of module categories. We also determine the monoidal category of line operators which includes Wilson lines as special objects. For t=1 and t=0 we only discuss surface and line operators in the abelian case. Applications to the categorification of the local geometric Langlands duality and its quantum version are briefly described. In the appendices we discuss several 3d and 2d topological field theories with gauge fields. In particular, we explain a relationship between the category of branes in the gauged B-model and the equivariant derived category of coherent sheaves. |
1708.06378 | Kamal Hajian | K. Hajian, M. M. Sheikh-Jabbari and H. Yavartanoo | Extreme Kerr black hole microstates with horizon fluff | 8 pages, published version | Phys. Rev. D 98, 026025 (2018) | 10.1103/PhysRevD.98.026025 | IPM/P-2017/037 | hep-th astro-ph.HE gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a one-function family of solutions to 4D vacuum Einstein
equations. While all diffeomorphic to the same extremal Kerr black hole, they
are labeled by well-defined conserved charges and are hence distinct
geometries. We show that this family of solutions forms a phase space the
symplectic structure of which is invariant under a $U(1)$ Kac-Moody algebra
generated by currents $\mathbb{J}_n$ and Virasoro generators $\mathbb{L}_n$
with central charge six times angular momentum of the black hole. This symmetry
algebra is well-defined everywhere in the spacetime, near the horizon or in the
asymptotic flat region. Out of the appropriate combination of $\mathbb{J}_n$
charges, we construct another Virasoro algebra at the same central charge.
Requiring that these two Virasoro algebras should describe the same system
leads us to a proposal for identifying extreme Kerr black hole microstates,
dubbed as extreme Kerr fluff. Counting these microstates, we not only correctly
reproduce the Bekenstein-Hawking entropy of extreme Kerr black hole, but also
its expected logarithmic corrections.
| [
{
"created": "Mon, 21 Aug 2017 18:38:00 GMT",
"version": "v1"
},
{
"created": "Sun, 29 Jul 2018 17:50:17 GMT",
"version": "v2"
}
] | 2018-07-31 | [
[
"Hajian",
"K.",
""
],
[
"Sheikh-Jabbari",
"M. M.",
""
],
[
"Yavartanoo",
"H.",
""
]
] | We present a one-function family of solutions to 4D vacuum Einstein equations. While all diffeomorphic to the same extremal Kerr black hole, they are labeled by well-defined conserved charges and are hence distinct geometries. We show that this family of solutions forms a phase space the symplectic structure of which is invariant under a $U(1)$ Kac-Moody algebra generated by currents $\mathbb{J}_n$ and Virasoro generators $\mathbb{L}_n$ with central charge six times angular momentum of the black hole. This symmetry algebra is well-defined everywhere in the spacetime, near the horizon or in the asymptotic flat region. Out of the appropriate combination of $\mathbb{J}_n$ charges, we construct another Virasoro algebra at the same central charge. Requiring that these two Virasoro algebras should describe the same system leads us to a proposal for identifying extreme Kerr black hole microstates, dubbed as extreme Kerr fluff. Counting these microstates, we not only correctly reproduce the Bekenstein-Hawking entropy of extreme Kerr black hole, but also its expected logarithmic corrections. |
hep-th/0501101 | Agustin Sabio Vera | L. N. Lipatov (1,2), A. Sabio Vera (3), V. N. Velizhanin (1),
G.G.Volkov (1,4,5,6) ((1) St. Petersburg, INP, (2) Paris, LPTHE, (3) Hamburg
U., Inst. Theor. Phys. II, (4) Madrid, Autonoma U., (5) Annecy, LAPTH, (6)
CERN) | Reflexive Numbers and Berger Graphs from Calabi-Yau Spaces | 39 pages, 5 figures, 5 tables. Extensively rewritten, references
added | Int.J.Mod.Phys.A21:2953-3006,2006 | 10.1142/S0217751X06031326 | null | hep-th math.AG math.GR | null | We review the Batyrev approach to Calabi-Yau spaces based on reflexive weight
vectors. The Universal CY algebra gives a possibility to construct the
corresponding reflexive numbers in a recursive way. A physical interpretation
of the Batyrev expression for the Calabi-Yau manifolds is presented. Important
classes of these manifolds are related to the simple-laced and
quasi-simple-laced numbers. We discuss the classification and recurrence
relations for them in the framework of quantum field theory methods. A relation
between the reflexive numbers and the so-called Berger graphs is studied. In
this correspondence the role played by the generalized Coxeter labels is
highlighted. Sets of positive roots are investigated in order to connect them
to possible new algebraic structures stemming from the Berger matrices.
| [
{
"created": "Fri, 14 Jan 2005 18:02:53 GMT",
"version": "v1"
},
{
"created": "Mon, 31 Jan 2005 13:05:15 GMT",
"version": "v2"
},
{
"created": "Wed, 21 Dec 2005 10:25:54 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"Lipatov",
"L. N.",
""
],
[
"Vera",
"A. Sabio",
""
],
[
"Velizhanin",
"V. N.",
""
],
[
"Volkov",
"G. G.",
""
]
] | We review the Batyrev approach to Calabi-Yau spaces based on reflexive weight vectors. The Universal CY algebra gives a possibility to construct the corresponding reflexive numbers in a recursive way. A physical interpretation of the Batyrev expression for the Calabi-Yau manifolds is presented. Important classes of these manifolds are related to the simple-laced and quasi-simple-laced numbers. We discuss the classification and recurrence relations for them in the framework of quantum field theory methods. A relation between the reflexive numbers and the so-called Berger graphs is studied. In this correspondence the role played by the generalized Coxeter labels is highlighted. Sets of positive roots are investigated in order to connect them to possible new algebraic structures stemming from the Berger matrices. |
2403.12359 | Antonio M. Garc\'ia-Garc\'ia | Antonio M. Garc\'ia-Garc\'ia, Jacobus J. M. Verbaarschot and Jie-ping
Zheng | The Lyapunov exponent as a signature of dissipative many-body quantum
chaos | 32 pages, 4 figures, we have added references and made minor
corrections | null | null | null | hep-th cond-mat.str-el quant-ph | http://creativecommons.org/licenses/by/4.0/ | A distinct feature of Hermitian quantum chaotic dynamics is the exponential
increase of certain out-of-time-order-correlation (OTOC) functions around the
Ehrenfest time with a rate given by a Lyapunov exponent. Physically, the OTOCs
describe the growth of quantum uncertainty that crucially depends on the nature
of the quantum motion. Here, we employ the OTOC in order to provide a precise
definition of dissipative quantum chaos. For this purpose, we compute
analytically the Lyapunov exponent for the vectorized formulation of the large
$q$-limit of a $q$-body Sachdev-Ye-Kitaev model coupled to a Markovian bath.
These analytic results are confirmed by an explicit numerical calculation of
the Lyapunov exponent for several values of $q \geq 4$ based on the solutions
of the Schwinger-Dyson and Bethe-Salpeter equations. We show that the Lyapunov
exponent decreases monotonically as the coupling to the bath increases and
eventually becomes negative at a critical value of the coupling signaling a
transition to a dynamics which is no longer quantum chaotic. Therefore, a
positive Lyapunov exponent is a defining feature of dissipative many-body
quantum chaos. The observation of the breaking of the exponential growth for
sufficiently strong coupling suggests that dissipative quantum chaos may
require in certain cases a sufficiently weak coupling to the environment.
| [
{
"created": "Tue, 19 Mar 2024 02:07:22 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Jun 2024 15:20:30 GMT",
"version": "v2"
}
] | 2024-06-17 | [
[
"García-García",
"Antonio M.",
""
],
[
"Verbaarschot",
"Jacobus J. M.",
""
],
[
"Zheng",
"Jie-ping",
""
]
] | A distinct feature of Hermitian quantum chaotic dynamics is the exponential increase of certain out-of-time-order-correlation (OTOC) functions around the Ehrenfest time with a rate given by a Lyapunov exponent. Physically, the OTOCs describe the growth of quantum uncertainty that crucially depends on the nature of the quantum motion. Here, we employ the OTOC in order to provide a precise definition of dissipative quantum chaos. For this purpose, we compute analytically the Lyapunov exponent for the vectorized formulation of the large $q$-limit of a $q$-body Sachdev-Ye-Kitaev model coupled to a Markovian bath. These analytic results are confirmed by an explicit numerical calculation of the Lyapunov exponent for several values of $q \geq 4$ based on the solutions of the Schwinger-Dyson and Bethe-Salpeter equations. We show that the Lyapunov exponent decreases monotonically as the coupling to the bath increases and eventually becomes negative at a critical value of the coupling signaling a transition to a dynamics which is no longer quantum chaotic. Therefore, a positive Lyapunov exponent is a defining feature of dissipative many-body quantum chaos. The observation of the breaking of the exponential growth for sufficiently strong coupling suggests that dissipative quantum chaos may require in certain cases a sufficiently weak coupling to the environment. |
1506.00209 | Dibakar Roychowdhury | Dibakar Roychowdhury | Holographic charge transport in non commutative gauge theories | Latex, 11 pages, Version to appear in JHEP | JHEP 1507(2015)121 | 10.1007/JHEP07(2015)121 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, based on the holographic techniques, we explore the
hydrodynamics of charge diffusion phenomena in non commutative $ \mathcal{N}=4
$ SYM plasma at strong coupling. In our analysis, we compute the $ R $ charge
diffusion rates both along commutative as well as the non commutative
coordinates of the brane. It turns out that unlike the case for the shear
viscosity, the DC conductivity along the non commutative direction of the brane
differs significantly from that of its cousin corresponding to the commutative
direction of the brane. Such a discrepancy however smoothly goes away in the
limit of the vanishing non commutativity.
| [
{
"created": "Sun, 31 May 2015 09:54:15 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Jul 2015 16:40:26 GMT",
"version": "v2"
}
] | 2015-07-23 | [
[
"Roychowdhury",
"Dibakar",
""
]
] | In this paper, based on the holographic techniques, we explore the hydrodynamics of charge diffusion phenomena in non commutative $ \mathcal{N}=4 $ SYM plasma at strong coupling. In our analysis, we compute the $ R $ charge diffusion rates both along commutative as well as the non commutative coordinates of the brane. It turns out that unlike the case for the shear viscosity, the DC conductivity along the non commutative direction of the brane differs significantly from that of its cousin corresponding to the commutative direction of the brane. Such a discrepancy however smoothly goes away in the limit of the vanishing non commutativity. |
2408.08241 | Madhav Sinha | Thiago Silva Tavares, Madhav Sinha, Linnea Grans-Samuelsson, Ananda
Roy, Hubert Saleur | Integrable RG Flows on Topological Defect Lines in 2D Conformal Field
Theories | 39 pages, 10 figures | null | null | null | hep-th math-ph math.MP quant-ph | http://creativecommons.org/licenses/by/4.0/ | Topological defect lines (TDLs) in two-dimensional conformal field theories
(CFTs) are standard examples of generalized symmetries in quantum field theory.
Integrable lattice incarnations of these TDLs, such as those provided by
spin/anyonic chains, provide a crucial playground to investigate their
properties, both analytically and numerically. Here, a family of
parameter-dependent integrable lattice models is presented, which realize
different TDLs in a given CFT as the parameter is varied. These models are
based on the general quantum-inverse scattering construction, and involve
inhomogeneities of the spectral parameter. Both defect hamiltonians and
(defect) line operators are obtained in closed form. By varying the
inhomogeneities, renormalization group flows between different TDLs (such as
the Verlinde lines associated with the Virasoro primaries $(1,s)$ and $(s,1)$
in diagonal minimal CFTs) are then studied using different aspects of the
Bethe-ansatz as well as ab-initio numerical techniques. Relationships with the
anisotropic Kondo model as well as its non-Hermitian version are briefly
discussed
| [
{
"created": "Thu, 15 Aug 2024 16:08:27 GMT",
"version": "v1"
}
] | 2024-08-16 | [
[
"Tavares",
"Thiago Silva",
""
],
[
"Sinha",
"Madhav",
""
],
[
"Grans-Samuelsson",
"Linnea",
""
],
[
"Roy",
"Ananda",
""
],
[
"Saleur",
"Hubert",
""
]
] | Topological defect lines (TDLs) in two-dimensional conformal field theories (CFTs) are standard examples of generalized symmetries in quantum field theory. Integrable lattice incarnations of these TDLs, such as those provided by spin/anyonic chains, provide a crucial playground to investigate their properties, both analytically and numerically. Here, a family of parameter-dependent integrable lattice models is presented, which realize different TDLs in a given CFT as the parameter is varied. These models are based on the general quantum-inverse scattering construction, and involve inhomogeneities of the spectral parameter. Both defect hamiltonians and (defect) line operators are obtained in closed form. By varying the inhomogeneities, renormalization group flows between different TDLs (such as the Verlinde lines associated with the Virasoro primaries $(1,s)$ and $(s,1)$ in diagonal minimal CFTs) are then studied using different aspects of the Bethe-ansatz as well as ab-initio numerical techniques. Relationships with the anisotropic Kondo model as well as its non-Hermitian version are briefly discussed |
1912.06228 | Tom\'as Reis | Marcos Marino, Tomas Reis | A new renormalon in two dimensions | v3: 33 pages, 11 figures, revised version for publication in JHEP | null | 10.1007/JHEP07(2020)216 | null | hep-th cond-mat.quant-gas hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | According to standard lore, perturbative series of super-renormalizable
theories have only instanton singularities. In this paper we show that
two-dimensional scalar theories with a spontaneously broken $O(N)$ symmetry at
the classical level, which are super-renormalizable, have an IR renormalon
singularity at large $N$. Since perturbative expansions in these theories are
made around the "false vacuum" in which the global symmetry is broken, this
singularity can be regarded as a manifestation of the non-perturbative absence
of Goldstone bosons. We conjecture that the Borel singularity in the ground
state energy of the Lieb--Liniger model is a non-relativistic manifestation of
this phenomenon. We also provide {\it en passant} a detailed perturbative
calculation of the Lieb--Liniger energy up to two-loops, and we check that it
agrees with the prediction of the Bethe ansatz.
| [
{
"created": "Thu, 12 Dec 2019 21:32:57 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Feb 2020 10:09:02 GMT",
"version": "v2"
},
{
"created": "Mon, 27 Jul 2020 09:32:16 GMT",
"version": "v3"
}
] | 2020-08-26 | [
[
"Marino",
"Marcos",
""
],
[
"Reis",
"Tomas",
""
]
] | According to standard lore, perturbative series of super-renormalizable theories have only instanton singularities. In this paper we show that two-dimensional scalar theories with a spontaneously broken $O(N)$ symmetry at the classical level, which are super-renormalizable, have an IR renormalon singularity at large $N$. Since perturbative expansions in these theories are made around the "false vacuum" in which the global symmetry is broken, this singularity can be regarded as a manifestation of the non-perturbative absence of Goldstone bosons. We conjecture that the Borel singularity in the ground state energy of the Lieb--Liniger model is a non-relativistic manifestation of this phenomenon. We also provide {\it en passant} a detailed perturbative calculation of the Lieb--Liniger energy up to two-loops, and we check that it agrees with the prediction of the Bethe ansatz. |
1611.07062 | Christian Brouder | Nadir Bizi, Christian Brouder and Fabien Besnard | Space and time dimensions of algebras with applications to Lorentzian
noncommutative geometry and quantum electrodynamics | 10 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An analogy with real Clifford algebras on even-dimensional vector spaces
suggests to assign a couple of space and time dimensions modulo 8 to any
algebra (represented over a complex Hilbert space) containing two self-adjoint
involutions and an anti-unitary operator with specific commutation relations.
It is shown that this assignment is compatible with the tensor product: the
space and time dimensions of the tensor product are the sums of the space and
time dimensions of its factors. This could provide an interpretation of the
presence of such algebras in PT-symmetric Hamiltonians or the description of
topological matter.
This construction is used to build an indefinite (i.e. pseudo-Riemannian)
version of the spectral triples of noncommutative geometry, defined over Krein
spaces instead of Hilbert spaces. Within this framework, we can express the
Lagrangian (both bosonic and fermionic) of a Lorentzian almost-commutative
spectral triple. We exhibit a space of physical states that solves the
fermion-doubling problem. The example of quantum electrodynamics is described.
| [
{
"created": "Mon, 21 Nov 2016 21:20:19 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Oct 2017 20:14:37 GMT",
"version": "v2"
}
] | 2017-10-18 | [
[
"Bizi",
"Nadir",
""
],
[
"Brouder",
"Christian",
""
],
[
"Besnard",
"Fabien",
""
]
] | An analogy with real Clifford algebras on even-dimensional vector spaces suggests to assign a couple of space and time dimensions modulo 8 to any algebra (represented over a complex Hilbert space) containing two self-adjoint involutions and an anti-unitary operator with specific commutation relations. It is shown that this assignment is compatible with the tensor product: the space and time dimensions of the tensor product are the sums of the space and time dimensions of its factors. This could provide an interpretation of the presence of such algebras in PT-symmetric Hamiltonians or the description of topological matter. This construction is used to build an indefinite (i.e. pseudo-Riemannian) version of the spectral triples of noncommutative geometry, defined over Krein spaces instead of Hilbert spaces. Within this framework, we can express the Lagrangian (both bosonic and fermionic) of a Lorentzian almost-commutative spectral triple. We exhibit a space of physical states that solves the fermion-doubling problem. The example of quantum electrodynamics is described. |
2208.07057 | Evgeny Buchbinder | Evgeny I. Buchbinder, Jessica Hutomo, Gabriele Tartaglino-Mazzucchelli | Three-point functions of higher-spin supercurrents in 4D ${\cal N}=1$
superconformal field theory | 51 pages; v2: references added | null | 10.1002/prop.202200133 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop a general formalism to study the three-point correlation functions
of conserved higher-spin supercurrent multiplets $J_{\alpha(r)
\dot{\alpha}(r)}$ in 4D ${\cal N}=1$ superconformal theory. All the constraints
imposed by ${\cal N}=1$ superconformal symmetry on the three-point function
$\langle J_{\alpha(r_1) \dot{\alpha}(r_1)} J_{\beta(r_2) \dot{\beta}(r_2)
}J_{\gamma(r_3) \dot{\gamma}(r_3)}\rangle$ are systematically derived for
arbitrary $r_1, r_2, r_3$, thus reducing the problem mostly to computational
and combinatorial. As an illustrative example, we explicitly work out the
allowed tensor structures contained in $\langle J_{\alpha(r) \dot{\alpha}(r)}
J_{\beta \dot{\beta} } J_{\gamma \dot{\gamma}}\rangle$, where $J_{\alpha
\dot{\alpha}}$ is the supercurrent. We find that this three-point function
depends on two independent tensor structures, though the precise form of the
correlator depends on whether $r$ is even or odd. The case $r=1$ reproduces the
three-point function of the ordinary supercurrent derived by Osborn.
Additionally, we present the most general structure of mixed correlators of the
form $\langle L L J_{\alpha(r) \dot{\alpha}(r)}\rangle$ and $\langle
J_{\alpha(r_1) \dot{\alpha}(r_1)} J_{\beta(r_2) \dot{\beta}(r_2)} L \rangle$,
where $L$ is the flavour current multiplet.
| [
{
"created": "Mon, 15 Aug 2022 08:09:22 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Aug 2022 03:49:58 GMT",
"version": "v2"
}
] | 2022-12-21 | [
[
"Buchbinder",
"Evgeny I.",
""
],
[
"Hutomo",
"Jessica",
""
],
[
"Tartaglino-Mazzucchelli",
"Gabriele",
""
]
] | We develop a general formalism to study the three-point correlation functions of conserved higher-spin supercurrent multiplets $J_{\alpha(r) \dot{\alpha}(r)}$ in 4D ${\cal N}=1$ superconformal theory. All the constraints imposed by ${\cal N}=1$ superconformal symmetry on the three-point function $\langle J_{\alpha(r_1) \dot{\alpha}(r_1)} J_{\beta(r_2) \dot{\beta}(r_2) }J_{\gamma(r_3) \dot{\gamma}(r_3)}\rangle$ are systematically derived for arbitrary $r_1, r_2, r_3$, thus reducing the problem mostly to computational and combinatorial. As an illustrative example, we explicitly work out the allowed tensor structures contained in $\langle J_{\alpha(r) \dot{\alpha}(r)} J_{\beta \dot{\beta} } J_{\gamma \dot{\gamma}}\rangle$, where $J_{\alpha \dot{\alpha}}$ is the supercurrent. We find that this three-point function depends on two independent tensor structures, though the precise form of the correlator depends on whether $r$ is even or odd. The case $r=1$ reproduces the three-point function of the ordinary supercurrent derived by Osborn. Additionally, we present the most general structure of mixed correlators of the form $\langle L L J_{\alpha(r) \dot{\alpha}(r)}\rangle$ and $\langle J_{\alpha(r_1) \dot{\alpha}(r_1)} J_{\beta(r_2) \dot{\beta}(r_2)} L \rangle$, where $L$ is the flavour current multiplet. |
1205.3330 | Carl Bender | Alexander G. Anderson and Carl M. Bender | Complex Trajectories in a Classical Periodic Potential | 14 pages, 13 figures | null | 10.1088/1751-8113/45/45/455101 | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper examines the complex trajectories of a classical particle in the
potential V(x)=-cos(x). Almost all the trajectories describe a particle that
hops from one well to another in an erratic fashion. However, it is shown
analytically that there are two special classes of trajectories x(t) determined
only by the energy of the particle and not by the initial position of the
particle. The first class consists of periodic trajectories; that is,
trajectories that return to their initial position x(0) after some real time T.
The second class consists of trajectories for which there exists a real time T
such that $x(t+T)=x(t) \pm2 \pi$. These two classes of classical trajectories
are analogous to valence and conduction bands in quantum mechanics, where the
quantum particle either remains localized or else tunnels resonantly (conducts)
through a crystal lattice. These two special types of trajectories are
associated with sets of energies of measure 0. For other energies, it is shown
that for long times the average velocity of the particle becomes a fractal-like
function of energy.
| [
{
"created": "Tue, 15 May 2012 11:24:10 GMT",
"version": "v1"
}
] | 2015-06-05 | [
[
"Anderson",
"Alexander G.",
""
],
[
"Bender",
"Carl M.",
""
]
] | This paper examines the complex trajectories of a classical particle in the potential V(x)=-cos(x). Almost all the trajectories describe a particle that hops from one well to another in an erratic fashion. However, it is shown analytically that there are two special classes of trajectories x(t) determined only by the energy of the particle and not by the initial position of the particle. The first class consists of periodic trajectories; that is, trajectories that return to their initial position x(0) after some real time T. The second class consists of trajectories for which there exists a real time T such that $x(t+T)=x(t) \pm2 \pi$. These two classes of classical trajectories are analogous to valence and conduction bands in quantum mechanics, where the quantum particle either remains localized or else tunnels resonantly (conducts) through a crystal lattice. These two special types of trajectories are associated with sets of energies of measure 0. For other energies, it is shown that for long times the average velocity of the particle becomes a fractal-like function of energy. |
0708.3691 | Dongsu Bak | Dongsu Bak, Michael Gutperle, Andreas Karch | Time dependent black holes and thermal equilibration | 17 pages, 2 figures, References and one comment added, one more
comment added | JHEP 0712:034,2007 | 10.1088/1126-6708/2007/12/034 | null | hep-th gr-qc | null | We study aspects of a recently proposed exact time dependent black hole
solution of IIB string theory using the AdS/CFT correspondence. The dual field
theory is a thermal system in which initially a vacuum density for a
non-conserved operator is turned on. We can see that in agreement with general
thermal field theory expectation the system equilibrates: the expectation value
of the non-conserved operator goes to zero exponentially and the entropy
increases. In the field theory the process can be described quantitatively in
terms of a thermofield state and exact agreement with the gravity answers is
found.
| [
{
"created": "Tue, 28 Aug 2007 11:33:12 GMT",
"version": "v1"
},
{
"created": "Sun, 16 Sep 2007 03:12:35 GMT",
"version": "v2"
},
{
"created": "Fri, 30 Nov 2007 05:15:32 GMT",
"version": "v3"
}
] | 2010-02-03 | [
[
"Bak",
"Dongsu",
""
],
[
"Gutperle",
"Michael",
""
],
[
"Karch",
"Andreas",
""
]
] | We study aspects of a recently proposed exact time dependent black hole solution of IIB string theory using the AdS/CFT correspondence. The dual field theory is a thermal system in which initially a vacuum density for a non-conserved operator is turned on. We can see that in agreement with general thermal field theory expectation the system equilibrates: the expectation value of the non-conserved operator goes to zero exponentially and the entropy increases. In the field theory the process can be described quantitatively in terms of a thermofield state and exact agreement with the gravity answers is found. |
1012.5974 | Uri Kol | Uri Kol and Jacob Sonnenschein | Can holography reproduce the QCD Wilson line? | null | null | 10.1007/JHEP05(2011)111 | null | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently a remarkable agreement was found between lattice simulations of long
Wilson lines and behavior of the Nambu Goto string in flat space-time. However,
the latter fails to fit the short distance behavior since it admits a tachyonic
mode for a string shorter than a critical length. In this paper we examine the
question of whether a classical holographic Wilson line can reproduce the
lattice results for Wilson lines of any length. We determine the condition on
the the gravitational background to admit a Coulombic potential at short
distances. We analyze the system using three different renormalization schemes.
We perform an explicit best fit comparison of the lattice results with the
holographic models based on near extremal D3 and D4 branes, non-critical near
extremal AdS6 model and the Klebanov Strassler model. We find that all the
holographic models examined admit after renormalization a constant term in the
potential. We argue that the curves of the lattice simulation also have such a
constant term and we discuss its physical interpretation.
| [
{
"created": "Wed, 29 Dec 2010 16:32:56 GMT",
"version": "v1"
},
{
"created": "Sun, 6 Feb 2011 14:51:13 GMT",
"version": "v2"
}
] | 2015-05-20 | [
[
"Kol",
"Uri",
""
],
[
"Sonnenschein",
"Jacob",
""
]
] | Recently a remarkable agreement was found between lattice simulations of long Wilson lines and behavior of the Nambu Goto string in flat space-time. However, the latter fails to fit the short distance behavior since it admits a tachyonic mode for a string shorter than a critical length. In this paper we examine the question of whether a classical holographic Wilson line can reproduce the lattice results for Wilson lines of any length. We determine the condition on the the gravitational background to admit a Coulombic potential at short distances. We analyze the system using three different renormalization schemes. We perform an explicit best fit comparison of the lattice results with the holographic models based on near extremal D3 and D4 branes, non-critical near extremal AdS6 model and the Klebanov Strassler model. We find that all the holographic models examined admit after renormalization a constant term in the potential. We argue that the curves of the lattice simulation also have such a constant term and we discuss its physical interpretation. |
2101.02851 | Abhik Kumar Sanyal Dr. | Ranajit Mandal, Dalia Saha, Mohosin Alam and Abhik Kumar Sanyal | Early universe in view of a modified theory of gravity | 26 pages, 4 figures. arXiv admin note: text overlap with
arXiv:2004.04332 | Class. Quantum Gravit. 38 (2021) 025001 | 10.1088/1361-6382/abc222 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the quantum evolution of the early universe, its semi-classical
analogue together with inflationary regime, in view of a generalized modified
theory of gravity. The action is built by supplementing the non-minimally
coupled scalar-tensor theory of gravity with scalar curvature squared term and
a Gauss-Bonnet-dilatonic coupled term. It is generalized, since all the
parameters are treated as arbitrary functions of the scalar field. It is
interesting to explore the fact that instead of considering additional flow
parameters, an effective potential serves the purpose of finding inflationary
parameters. The dilaton stabilization issue appears here as a problem with
reheating. Addition of a cosmological constant term alleviates the problem, and
inflation is effectively driven by the vacuum energy density. Thus Gauss-Bonnet
term might play a significant role in describing late-time cosmic evolution.
| [
{
"created": "Fri, 8 Jan 2021 05:07:57 GMT",
"version": "v1"
}
] | 2021-01-11 | [
[
"Mandal",
"Ranajit",
""
],
[
"Saha",
"Dalia",
""
],
[
"Alam",
"Mohosin",
""
],
[
"Sanyal",
"Abhik Kumar",
""
]
] | We study the quantum evolution of the early universe, its semi-classical analogue together with inflationary regime, in view of a generalized modified theory of gravity. The action is built by supplementing the non-minimally coupled scalar-tensor theory of gravity with scalar curvature squared term and a Gauss-Bonnet-dilatonic coupled term. It is generalized, since all the parameters are treated as arbitrary functions of the scalar field. It is interesting to explore the fact that instead of considering additional flow parameters, an effective potential serves the purpose of finding inflationary parameters. The dilaton stabilization issue appears here as a problem with reheating. Addition of a cosmological constant term alleviates the problem, and inflation is effectively driven by the vacuum energy density. Thus Gauss-Bonnet term might play a significant role in describing late-time cosmic evolution. |
1906.11621 | Mahdi Atashi | Mahdi Atashi, Kazem Bitaghsir Fadafan | Spiraling String in Gauss-Bonnet Geometry | 13 pages, 5 figures, Mathematica code is available in the attached
files | null | 10.1016/j.physletb.2019.135090 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we consider a spiraling string falling in the bulk with
Gauss$-$Bonnet geometry that is holographically dual to a heavy particle
rotating through a hot plasma at finite coupling. One finds such interesting
simple problem provides a novel perspective on different channels of the energy
loss in the corresponding strongly coupled theory. Depends on the sign of the
coupling, one observes that the influence of finite coupling on total energy
loss and contribution of drag force and radiation channels appears as a shift
on curves with respect to the plasma with infinite coupling. Also we found that
crossover between regime in which drag force contribution is predominant to
regime in which energy loss is due to radiation, does not depend on the
Gauss$-$Bonnet coupling.
| [
{
"created": "Thu, 13 Jun 2019 13:27:18 GMT",
"version": "v1"
}
] | 2020-01-08 | [
[
"Atashi",
"Mahdi",
""
],
[
"Fadafan",
"Kazem Bitaghsir",
""
]
] | In this paper, we consider a spiraling string falling in the bulk with Gauss$-$Bonnet geometry that is holographically dual to a heavy particle rotating through a hot plasma at finite coupling. One finds such interesting simple problem provides a novel perspective on different channels of the energy loss in the corresponding strongly coupled theory. Depends on the sign of the coupling, one observes that the influence of finite coupling on total energy loss and contribution of drag force and radiation channels appears as a shift on curves with respect to the plasma with infinite coupling. Also we found that crossover between regime in which drag force contribution is predominant to regime in which energy loss is due to radiation, does not depend on the Gauss$-$Bonnet coupling. |
2102.08401 | Olaf Lechtenfeld | Kaushlendra Kumar, Olaf Lechtenfeld, Gabriel Pican\c{c}o Costa | Instability of cosmic Yang-Mills fields | 1+24 pages, 34 diagrams in 13 figures; v2: introduction and
conclusions extended by physical motivation, two references added, matches
published version | Nuclear Physics B 973 (2021) 115583 | 10.1016/j.nuclphysb.2021.115583 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | There exists a small family of analytic SO(4)-invariant but time-dependent
SU(2) Yang-Mills solutions in any conformally flat four-dimensional spacetime.
These might play a role in early-universe cosmology for stabilizing the
symmetric Higgs vacuum. We analyze the linear stability of these "cosmic gauge
fields" against general gauge-field perturbations while keeping the metric
frozen, by diagonalizing the (time-dependent) Yang-Mills fluctuation operator
around them and applying Floquet theory to its eigenfrequencies and normal
modes. Except for the exactly solvable SO(4) singlet perturbation, which is
found to be marginally stable linearly but bounded nonlinearly, generic normal
modes often grow exponentially due to resonance effects. Even at very high
energies, all cosmic Yang-Mills backgrounds are rendered linearly unstable.
| [
{
"created": "Tue, 16 Feb 2021 19:00:02 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Oct 2021 13:19:57 GMT",
"version": "v2"
}
] | 2021-10-29 | [
[
"Kumar",
"Kaushlendra",
""
],
[
"Lechtenfeld",
"Olaf",
""
],
[
"Costa",
"Gabriel Picanço",
""
]
] | There exists a small family of analytic SO(4)-invariant but time-dependent SU(2) Yang-Mills solutions in any conformally flat four-dimensional spacetime. These might play a role in early-universe cosmology for stabilizing the symmetric Higgs vacuum. We analyze the linear stability of these "cosmic gauge fields" against general gauge-field perturbations while keeping the metric frozen, by diagonalizing the (time-dependent) Yang-Mills fluctuation operator around them and applying Floquet theory to its eigenfrequencies and normal modes. Except for the exactly solvable SO(4) singlet perturbation, which is found to be marginally stable linearly but bounded nonlinearly, generic normal modes often grow exponentially due to resonance effects. Even at very high energies, all cosmic Yang-Mills backgrounds are rendered linearly unstable. |
1303.6772 | Sylvain Carrozza | Sylvain Carrozza, Daniele Oriti, Vincent Rivasseau | Renormalization of an SU(2) Tensorial Group Field Theory in Three
Dimensions | 51 pages, 15 figures, 2 tables. v2: minor corrections. v3: matches
published version | Commun. Math. Phys. 330, 581-637 (2014) | 10.1007/s00220-014-1928-x | LPT-ORSAY 13-25, AEI-2013-167 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We address in this paper the issue of renormalizability for SU(2) Tensorial
Group Field Theories (TGFT) with geometric Boulatov-type conditions in three
dimensions. We prove that tensorial interactions up to degree 6 are just
renormalizable without any anomaly. Our new models define the renormalizable
TGFT version of the Boulatov model and provide therefore a new approach to
quantum gravity in three dimensions. Among the many new technical results
established in this paper are a general classification of just renormalizable
models with gauge invariance condition, and in particular concerning properties
of melonic graphs, the second order expansion of melonic two point subgraphs
needed for wave-function renormalization.
| [
{
"created": "Wed, 27 Mar 2013 09:31:47 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Apr 2013 17:03:32 GMT",
"version": "v2"
},
{
"created": "Thu, 3 Apr 2014 14:56:18 GMT",
"version": "v3"
}
] | 2014-07-08 | [
[
"Carrozza",
"Sylvain",
""
],
[
"Oriti",
"Daniele",
""
],
[
"Rivasseau",
"Vincent",
""
]
] | We address in this paper the issue of renormalizability for SU(2) Tensorial Group Field Theories (TGFT) with geometric Boulatov-type conditions in three dimensions. We prove that tensorial interactions up to degree 6 are just renormalizable without any anomaly. Our new models define the renormalizable TGFT version of the Boulatov model and provide therefore a new approach to quantum gravity in three dimensions. Among the many new technical results established in this paper are a general classification of just renormalizable models with gauge invariance condition, and in particular concerning properties of melonic graphs, the second order expansion of melonic two point subgraphs needed for wave-function renormalization. |
hep-th/9408120 | null | Joshua Feinberg (Theory Group, Physics Dept. The Univ. of Texas at
Austin) | On Kinks and Bound States in the Gross-Neveu Model | Revised version. A new section added with derivation of the DHN
static configurations in the sector of broken supersymmetry. Some references
added as well. 25 pp, latex, e-mail joshua@utaphy.ph.utexas.edu | Phys. Rev. D 51, 4503 (1995) | 10.1103/PhysRevD.51.4503 | UTTG-94-05 | hep-th cond-mat hep-ph | null | We investigate static space dependent $\sigx=\lag\bar\psi\psi\rag$ saddle
point configurations in the two dimensional Gross-Neveu model in the large N
limit. We solve the saddle point condition for $\sigx$ explicitly by employing
supersymmetric quantum mechanics and using simple properties of the diagonal
resolvent of one dimensional Schr\"odinger operators rather than inverse
scattering techniques. The resulting solutions in the sector of unbroken
supersymmetry are the Callan-Coleman-Gross-Zee kink configurations. We thus
provide a direct and clean construction of these kinks. In the sector of broken
supersymmetry we derive the DHN saddle point configurations. Our method of
finding such non-trivial static configurations may be applied also in other two
dimensional field theories.
| [
{
"created": "Mon, 22 Aug 1994 22:07:49 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Dec 1994 23:33:55 GMT",
"version": "v2"
}
] | 2016-08-24 | [
[
"Feinberg",
"Joshua",
"",
"Theory Group, Physics Dept. The Univ. of Texas at\n Austin"
]
] | We investigate static space dependent $\sigx=\lag\bar\psi\psi\rag$ saddle point configurations in the two dimensional Gross-Neveu model in the large N limit. We solve the saddle point condition for $\sigx$ explicitly by employing supersymmetric quantum mechanics and using simple properties of the diagonal resolvent of one dimensional Schr\"odinger operators rather than inverse scattering techniques. The resulting solutions in the sector of unbroken supersymmetry are the Callan-Coleman-Gross-Zee kink configurations. We thus provide a direct and clean construction of these kinks. In the sector of broken supersymmetry we derive the DHN saddle point configurations. Our method of finding such non-trivial static configurations may be applied also in other two dimensional field theories. |
1712.09081 | Ivan Kharuk | I. Kharuk | Coset space construction for the conformal group. II. Spontaneously
broken phase and inverse Higgs phenomenon | null | null | null | INR-TH-2017-032 | hep-th cond-mat.other | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A self-contained method of obtaining effective theories resulting from the
spontaneous breakdown of conformal invariance is developed. It allows to
demonstrate that the Nambu-Goldstone fields for special conformal
transformations always represent non-dynamical degrees of freedom. The standard
approach to the same question, which includes the imposition of the inverse
Higgs constraints, is shown to follow from the developed technique. This
provides an alternative view on the nature of the inverse Higgs constraints for
the conformal group.
| [
{
"created": "Mon, 25 Dec 2017 14:52:14 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Apr 2019 09:56:36 GMT",
"version": "v2"
}
] | 2019-04-23 | [
[
"Kharuk",
"I.",
""
]
] | A self-contained method of obtaining effective theories resulting from the spontaneous breakdown of conformal invariance is developed. It allows to demonstrate that the Nambu-Goldstone fields for special conformal transformations always represent non-dynamical degrees of freedom. The standard approach to the same question, which includes the imposition of the inverse Higgs constraints, is shown to follow from the developed technique. This provides an alternative view on the nature of the inverse Higgs constraints for the conformal group. |
hep-th/0107235 | Carbonell | M. Mangin-Brinet, J. Carbonell and V.A. Karmanov | Relativistic bound states in Yukawa model | 22 pages, 13 figures, .tar.gz file | Phys.Rev. D64 (2001) 125005 | 10.1103/PhysRevD.64.125005 | null | hep-th hep-ph nucl-th | null | The bound state solutions of two fermions interacting by a scalar exchange
are obtained in the framework of the explicitly covariant light-front dynamics.
The stability with respect to cutoff of the J$^{\pi}$=$0^+$ and J$^{\pi}$=$1^+$
states is studied. The solutions for J$^{\pi}$=$0^+$ are found to be stable for
coupling constants $\alpha={g^2\over4\pi}$ below the critical value
$\alpha_c\approx 3.72$ and unstable above it. The asymptotic behavior of the
wave functions is found to follow a ${1\over k^{2+\beta}}$ law. The coefficient
$\beta$ and the critical coupling constant $\alpha_c$ are calculated from an
eigenvalue equation. The binding energies for the J$^{\pi}$=$1^+$ solutions
diverge logarithmically with the cutoff for any value of the coupling constant.
For a wide range of cutoff, the states with different angular momentum
projections are weakly split.
| [
{
"created": "Fri, 27 Jul 2001 10:07:38 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Mangin-Brinet",
"M.",
""
],
[
"Carbonell",
"J.",
""
],
[
"Karmanov",
"V. A.",
""
]
] | The bound state solutions of two fermions interacting by a scalar exchange are obtained in the framework of the explicitly covariant light-front dynamics. The stability with respect to cutoff of the J$^{\pi}$=$0^+$ and J$^{\pi}$=$1^+$ states is studied. The solutions for J$^{\pi}$=$0^+$ are found to be stable for coupling constants $\alpha={g^2\over4\pi}$ below the critical value $\alpha_c\approx 3.72$ and unstable above it. The asymptotic behavior of the wave functions is found to follow a ${1\over k^{2+\beta}}$ law. The coefficient $\beta$ and the critical coupling constant $\alpha_c$ are calculated from an eigenvalue equation. The binding energies for the J$^{\pi}$=$1^+$ solutions diverge logarithmically with the cutoff for any value of the coupling constant. For a wide range of cutoff, the states with different angular momentum projections are weakly split. |
0805.3744 | Yutaka Baba | Yutaka Baba, Nobuyuki Ishibashi, Koichi Murakami | D-brane States and Annulus Amplitudes in OSp Invariant Closed String
Field Theory | 14 pages, 3 figures | JHEP0807:046,2008 | 10.1088/1126-6708/2008/07/046 | UTHEP-563, RIKEN-TH-130 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the OSp invariant closed string field theory, we construct the states
corresponding to parallel D-branes that are located at different points in the
space-time. Using these states, we evaluate annulus amplitudes. We show that
the results coincide with those of first quantized string theory.
| [
{
"created": "Sat, 24 May 2008 06:27:22 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Baba",
"Yutaka",
""
],
[
"Ishibashi",
"Nobuyuki",
""
],
[
"Murakami",
"Koichi",
""
]
] | In the OSp invariant closed string field theory, we construct the states corresponding to parallel D-branes that are located at different points in the space-time. Using these states, we evaluate annulus amplitudes. We show that the results coincide with those of first quantized string theory. |
2101.12155 | D. S. Berman | Luigi Alfonsi and David S. Berman | Double Field Theory and Geometric Quantisation | 50 pages, LaTex, v2 refrences added, v3 published version | null | 10.1007/JHEP06(2021)059 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We examine various properties of double field theory and the doubled string
sigma model in the context of geometric quantisation. In particular we look at
T-duality as the symplectic transformation related to an alternative choice of
polarisation in the construction of the quantum bundle for the string.
Following this perspective we adopt a variety of techniques from geometric
quantisation to study the doubled space. One application is the construction of
the double coherent state that provides the shortest distance in any duality
frame and a stringy deformed Fourier transform.
| [
{
"created": "Thu, 28 Jan 2021 18:04:42 GMT",
"version": "v1"
},
{
"created": "Sat, 13 Feb 2021 08:52:14 GMT",
"version": "v2"
},
{
"created": "Wed, 2 Jun 2021 10:50:11 GMT",
"version": "v3"
}
] | 2021-06-30 | [
[
"Alfonsi",
"Luigi",
""
],
[
"Berman",
"David S.",
""
]
] | We examine various properties of double field theory and the doubled string sigma model in the context of geometric quantisation. In particular we look at T-duality as the symplectic transformation related to an alternative choice of polarisation in the construction of the quantum bundle for the string. Following this perspective we adopt a variety of techniques from geometric quantisation to study the doubled space. One application is the construction of the double coherent state that provides the shortest distance in any duality frame and a stringy deformed Fourier transform. |
1405.7617 | Fulvio Sbis\`a | Fulvio Sbis\`a and Kazuya Koyama | The critical tension in the Cascading DGP model | 42 pages, 6 figures, version accepted for publication in JCAP | JCAP09(2014)038 | 10.1088/1475-7516/2014/09/038 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the behaviour of weak gravitational fields in the 6D Cascading DGP
model using a bulk-based approach. To deal with the ambiguity in the thin limit
of branes of codimension higher than one, we consider a specific regularization
of the internal structure of the branes where the 5D brane can be considered
thin with respect to the 4D one. We consider the solutions corresponding to
pure tension sources on the 4D brane, and study perturbations at first order
around these background solutions. We adopt a 4D scalar-vector-tensor
decomposition, and focus on the scalar sector of perturbations. We show that,
in a suitable 4D limit, the trace part of the 4D metric perturbations obeys a
decoupled equation which suggests that it is a ghost for background tensions
smaller than a critical tension, while it is a healthy field otherwise. We give
a geometrical interpretation of the existence of the critical tension and of
the reason why the relevant field is a ghost or not depending on the background
tension. We however find a value of the critical tension which is different
from the one already found in the literature. Differently from the results in
the literature, our analysis implies that, choosing the background tension
suitably, we can construct ghost-free models for any value of the free
parameters of the theory. We suggest that the difference lies in the procedure
used to evaluate the pillbox integration across the codimension-2 brane. We
confirm the validity of our analysis by performing numerically the integration
in a particular case where the solution inside the thick cod-2 brane is known
exactly. We stress that the singular structure of the perturbation fields in
the nested branes set-ups is very subtle, and that great care has to be taken
when deriving the codimension-2 junction conditions.
| [
{
"created": "Thu, 29 May 2014 17:10:12 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Sep 2014 19:40:20 GMT",
"version": "v2"
}
] | 2018-05-18 | [
[
"Sbisà",
"Fulvio",
""
],
[
"Koyama",
"Kazuya",
""
]
] | We study the behaviour of weak gravitational fields in the 6D Cascading DGP model using a bulk-based approach. To deal with the ambiguity in the thin limit of branes of codimension higher than one, we consider a specific regularization of the internal structure of the branes where the 5D brane can be considered thin with respect to the 4D one. We consider the solutions corresponding to pure tension sources on the 4D brane, and study perturbations at first order around these background solutions. We adopt a 4D scalar-vector-tensor decomposition, and focus on the scalar sector of perturbations. We show that, in a suitable 4D limit, the trace part of the 4D metric perturbations obeys a decoupled equation which suggests that it is a ghost for background tensions smaller than a critical tension, while it is a healthy field otherwise. We give a geometrical interpretation of the existence of the critical tension and of the reason why the relevant field is a ghost or not depending on the background tension. We however find a value of the critical tension which is different from the one already found in the literature. Differently from the results in the literature, our analysis implies that, choosing the background tension suitably, we can construct ghost-free models for any value of the free parameters of the theory. We suggest that the difference lies in the procedure used to evaluate the pillbox integration across the codimension-2 brane. We confirm the validity of our analysis by performing numerically the integration in a particular case where the solution inside the thick cod-2 brane is known exactly. We stress that the singular structure of the perturbation fields in the nested branes set-ups is very subtle, and that great care has to be taken when deriving the codimension-2 junction conditions. |
2005.02504 | Tereza Vardanyan | Alexander Yu. Kamenshchik and Tereza Vardanyan | Renormalization group inspired autonomous equations for secular effects
in de Sitter space | 20 pages | Phys. Rev. D 102, 065010 (2020) | 10.1103/PhysRevD.102.065010 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop a method for treating a series of secularly growing terms obtained
from quantum perturbative calculations: autonomous first-order differential
equations are constructed such that they reproduce this series to the given
order. The exact solutions of these equations are free of secular terms and
approach a finite limit at late times. This technique is illustrated for the
well-known problem of secular growth of correlation functions of a massless
scalar field with a quartic self-interaction in de Sitter space. For the
expectation value of the product of two fields at coinciding space-time points
we obtain a finite late-time result that is very close to the one following
from Starobinsky's stochastic approach.
| [
{
"created": "Tue, 5 May 2020 21:24:03 GMT",
"version": "v1"
}
] | 2020-09-23 | [
[
"Kamenshchik",
"Alexander Yu.",
""
],
[
"Vardanyan",
"Tereza",
""
]
] | We develop a method for treating a series of secularly growing terms obtained from quantum perturbative calculations: autonomous first-order differential equations are constructed such that they reproduce this series to the given order. The exact solutions of these equations are free of secular terms and approach a finite limit at late times. This technique is illustrated for the well-known problem of secular growth of correlation functions of a massless scalar field with a quartic self-interaction in de Sitter space. For the expectation value of the product of two fields at coinciding space-time points we obtain a finite late-time result that is very close to the one following from Starobinsky's stochastic approach. |
2306.08769 | Luis Alberto Wills-Toro | Luis Alberto Wills-Toro (1,2,3) ((1) School of Mathematics,
Universidad Nacional de Colombia, Medell\'in, (2) Departamento de F\'isica
Te\'orica y del Cosmos, Universidad de Granada, (3) CIMAT) | Poincar\'e-like extension Mixing Higgs and Gauge Fields in a U(1)
symmetric model | null | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We continue the program by investigating symmetric structures underlying
features of the Standard Model. We then expand the symmetry to encompass
translations before contraction. A field theory model emerges with the goal of
replicating a coupling to gravity before contraction. Then we obtain an
expanded second-order gravity model after contraction that incorporates the
abelian internal symmetry.
| [
{
"created": "Wed, 14 Jun 2023 22:36:30 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Jan 2024 15:33:16 GMT",
"version": "v2"
}
] | 2024-01-24 | [
[
"Wills-Toro",
"Luis Alberto",
""
]
] | We continue the program by investigating symmetric structures underlying features of the Standard Model. We then expand the symmetry to encompass translations before contraction. A field theory model emerges with the goal of replicating a coupling to gravity before contraction. Then we obtain an expanded second-order gravity model after contraction that incorporates the abelian internal symmetry. |
hep-th/0003189 | Robert Finkelstein | R. J. Finkelstein (University of California, Los Angeles) | Quantum Groups and Field Theory | 7 pages, TeX file | Mod.Phys.Lett. A15 (2000) 1709-1716 | 10.1142/S0217732300002218 | UCLA/99/TEP/47 | hep-th | null | When the symmetry of a physical theory describing a finite system is deformed
by replacing its Lie group by the corresponding quantum group, the operators
and state function will lie in a new algebra describing new degrees of freedom.
If the symmetry of a field theory is deformed in this way, the enlarged state
space will again describe additional degrees of freedom, and the energy levels
will acquire fine structure. The massive particles will have a stringlike
spectrum lifting the degeneracy of the point-particle theory, and the resulting
theory will have a non-local description. Theories of this kind naturally
contain two sectors with one sector lying close to the standard theory while
the second sector describes particles that should be more difficult to observe.
| [
{
"created": "Tue, 21 Mar 2000 22:52:33 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Finkelstein",
"R. J.",
"",
"University of California, Los Angeles"
]
] | When the symmetry of a physical theory describing a finite system is deformed by replacing its Lie group by the corresponding quantum group, the operators and state function will lie in a new algebra describing new degrees of freedom. If the symmetry of a field theory is deformed in this way, the enlarged state space will again describe additional degrees of freedom, and the energy levels will acquire fine structure. The massive particles will have a stringlike spectrum lifting the degeneracy of the point-particle theory, and the resulting theory will have a non-local description. Theories of this kind naturally contain two sectors with one sector lying close to the standard theory while the second sector describes particles that should be more difficult to observe. |
hep-th/9402030 | null | A.S.Cattaneo, A.Gamba and M.Martellini | Moduli Spaces of Curves with Homology Chains and c=1 Matrix Models | IFUM 459/FT (LaTeX, 9 pages; a few misprints have been corrected and
the introduction has been slightly modified) | Phys.Lett.B327:221-225,1994 | 10.1016/0370-2693(94)90721-8 | null | hep-th | null | We show that introducing a periodic time coordinate in the models of
Penner-Kontsevich type generalizes the corresponding constructions to the case
of the moduli space ${\cal S}_{gn}^k$ of curves $C$ with homology chains
$\gamma\in H_1(C,\zet_k)$. We make a minimal extension of the resulting models
by adding a kinetic term, and we get a new matrix model which realizes a simple
dynamics of $\zet_k$-chains on surfaces. This gives a representation of $c=1$
matter coupled to two-dimensional quantum gravity with the target space being a
circle of finite radius, as studied by Gross and Klebanov.
| [
{
"created": "Fri, 4 Feb 1994 19:59:44 GMT",
"version": "v1"
},
{
"created": "Sat, 12 Feb 1994 21:43:03 GMT",
"version": "v2"
},
{
"created": "Sun, 20 Feb 1994 14:00:50 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Cattaneo",
"A. S.",
""
],
[
"Gamba",
"A.",
""
],
[
"Martellini",
"M.",
""
]
] | We show that introducing a periodic time coordinate in the models of Penner-Kontsevich type generalizes the corresponding constructions to the case of the moduli space ${\cal S}_{gn}^k$ of curves $C$ with homology chains $\gamma\in H_1(C,\zet_k)$. We make a minimal extension of the resulting models by adding a kinetic term, and we get a new matrix model which realizes a simple dynamics of $\zet_k$-chains on surfaces. This gives a representation of $c=1$ matter coupled to two-dimensional quantum gravity with the target space being a circle of finite radius, as studied by Gross and Klebanov. |
hep-th/0606179 | Johannes Walcher | Kentaro Hori and Johannes Walcher | D-brane Categories for Orientifolds -- The Landau-Ginzburg Case | 45 pages, 6 figures | JHEP 0804:030,2008 | 10.1088/1126-6708/2008/04/030 | null | hep-th | null | We construct and classify categories of D-branes in orientifolds based on
Landau-Ginzburg models and their orbifolds. Consistency of the worldsheet
parity action on the matrix factorizations plays the key role. This provides
all the requisite data for an orientifold construction after embedding in
string theory. One of our main results is a computation of topological field
theory correlators on unoriented worldsheets, generalizing the formulas of Vafa
and Kapustin-Li for oriented worldsheets, as well as the extension of these
results to orbifolds. We also find a doubling of Knoerrer periodicity in the
orientifold context.
| [
{
"created": "Tue, 20 Jun 2006 19:51:43 GMT",
"version": "v1"
}
] | 2010-12-03 | [
[
"Hori",
"Kentaro",
""
],
[
"Walcher",
"Johannes",
""
]
] | We construct and classify categories of D-branes in orientifolds based on Landau-Ginzburg models and their orbifolds. Consistency of the worldsheet parity action on the matrix factorizations plays the key role. This provides all the requisite data for an orientifold construction after embedding in string theory. One of our main results is a computation of topological field theory correlators on unoriented worldsheets, generalizing the formulas of Vafa and Kapustin-Li for oriented worldsheets, as well as the extension of these results to orbifolds. We also find a doubling of Knoerrer periodicity in the orientifold context. |
hep-th/0211261 | Harald Ita | Harald Ita, Harald Nieder, Yaron Oz | Perturbative Computation of Glueball Superpotentials for SO(N) and
USp(N) | 24 pages, 10 figures | JHEP 0301:018,2003 | 10.1088/1126-6708/2003/01/018 | CERN-TH/2002-345, TAUP-2718-02 | hep-th | null | We use the superspace method of hep-th/0211017 to prove the matrix model
conjecture for N=1 USp(N) and SO(N) gauge theories in four dimensions. We
derive the prescription to relate the matrix model to the field theory
computations. We perform an explicit calculation of glueball superpotentials.
The result is consistent with field theory expectations.
| [
{
"created": "Wed, 27 Nov 2002 17:41:36 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Ita",
"Harald",
""
],
[
"Nieder",
"Harald",
""
],
[
"Oz",
"Yaron",
""
]
] | We use the superspace method of hep-th/0211017 to prove the matrix model conjecture for N=1 USp(N) and SO(N) gauge theories in four dimensions. We derive the prescription to relate the matrix model to the field theory computations. We perform an explicit calculation of glueball superpotentials. The result is consistent with field theory expectations. |
2102.08202 | Rafa{\l} R. Suszek | Rafa{\l} R. Suszek | The higher-algebraic skeleton of the superstring -- a case study | 55 pages | null | null | null | hep-th math.DG | http://creativecommons.org/publicdomain/zero/1.0/ | A novel Lie-superalgebraic description of the superstring in the
super-Minkowskian background is extracted from the Cartan-Eilenberg
super-1-gerbe geometrising the higher gauge field (the Green-Schwarz
super-3-cocycle) that couples to the supercharge carried by the superstring.
The description assumes the form of a hierarchy of Lie superalgebras integrable
to a hierarchy of Lie supergroups and provides a manifestly supersymmetric
model of a family of supermanifolds defining a trivialisation of the
super-1-gerbe over the embedded superstring worldsheet. The trivialisation,
obtained in a purely topological formulation of the superstring dynamics dual
to the standard Nambu-Goto-type one, conforms with the gerbe-theoretic
representation of extended sources of higher gauge fields known from previous
studies of the $\sigma$-model of the bosonic string.
| [
{
"created": "Tue, 16 Feb 2021 14:54:36 GMT",
"version": "v1"
}
] | 2021-02-17 | [
[
"Suszek",
"Rafał R.",
""
]
] | A novel Lie-superalgebraic description of the superstring in the super-Minkowskian background is extracted from the Cartan-Eilenberg super-1-gerbe geometrising the higher gauge field (the Green-Schwarz super-3-cocycle) that couples to the supercharge carried by the superstring. The description assumes the form of a hierarchy of Lie superalgebras integrable to a hierarchy of Lie supergroups and provides a manifestly supersymmetric model of a family of supermanifolds defining a trivialisation of the super-1-gerbe over the embedded superstring worldsheet. The trivialisation, obtained in a purely topological formulation of the superstring dynamics dual to the standard Nambu-Goto-type one, conforms with the gerbe-theoretic representation of extended sources of higher gauge fields known from previous studies of the $\sigma$-model of the bosonic string. |
hep-th/9611079 | null | H. Lu and C.N. Pope | Domain Walls from M-branes | Latex, 9 pages, reference added | Mod.Phys.Lett.A12:1087-1094,1997 | 10.1142/S0217732397001102 | CTP TAMU-56/96 | hep-th | null | We discuss the vertical dimensional reduction of M-branes to domain walls in
D=7 and D=4, by dimensional reduction on Ricci-flat 4-manifolds and
7-manifolds. In order to interpret the vertically-reduced 5-brane as a domain
wall solution of a dimensionally-reduced theory in D=7, it is necessary to
generalise the usual Kaluza-Klein ansatz, so that the 3-form potential in D=11
has an additional term that can generate the necessary cosmological term in
D=7. We show how this can be done for general 4-manifolds, extending previous
results for toroidal compactifications. By contrast, no generalisation of the
Kaluza-Klein ansatz is necessary for the compactification of M-theory to a D=4
theory that admits the domain wall solution coming from the membrane in D=11.
| [
{
"created": "Mon, 11 Nov 1996 21:50:13 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Nov 1996 16:53:38 GMT",
"version": "v2"
}
] | 2009-10-07 | [
[
"Lu",
"H.",
""
],
[
"Pope",
"C. N.",
""
]
] | We discuss the vertical dimensional reduction of M-branes to domain walls in D=7 and D=4, by dimensional reduction on Ricci-flat 4-manifolds and 7-manifolds. In order to interpret the vertically-reduced 5-brane as a domain wall solution of a dimensionally-reduced theory in D=7, it is necessary to generalise the usual Kaluza-Klein ansatz, so that the 3-form potential in D=11 has an additional term that can generate the necessary cosmological term in D=7. We show how this can be done for general 4-manifolds, extending previous results for toroidal compactifications. By contrast, no generalisation of the Kaluza-Klein ansatz is necessary for the compactification of M-theory to a D=4 theory that admits the domain wall solution coming from the membrane in D=11. |
1601.01827 | Alberto Lerda | S. K. Ashok, E. Dell'Aquila, A. Lerda, M. Raman | S-duality, triangle groups and modular anomalies in N=2 SQCD | 50 pages, 1 figure; a few references added; to be published in JHEP | null | 10.1007/JHEP04(2016)118 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study N = 2 superconformal theories with gauge group SU(N) and 2N
fundamental flavours in a locus of the Coulomb branch with a Z_N symmetry. In
this special vacuum, we calculate the prepotential, the dual periods and the
period matrix using equivariant localization. When the flavours are massless,
we find that the period matrix is completely specified by [N/2] effective
couplings. On each of these, we show that the S-duality group acts as a
generalized triangle group and that its hauptmodul can be used to write a
non-perturbatively exact relation between each effective coupling and the bare
one. For N = 2, 3, 4 and 6, the generalized triangle group is an arithmetic
Hecke group which contains a subgroup that is also a congruence subgroup of the
modular group PSL(2,Z). For these cases, we introduce mass deformations that
respect the symmetries of the special vacuum and show that the constraints
arising from S-duality make it possible to resum the instanton contributions to
the period matrix in terms of meromorphic modular forms which solve modular
anomaly equations.
| [
{
"created": "Fri, 8 Jan 2016 10:54:32 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Apr 2016 09:46:44 GMT",
"version": "v2"
}
] | 2016-05-25 | [
[
"Ashok",
"S. K.",
""
],
[
"Dell'Aquila",
"E.",
""
],
[
"Lerda",
"A.",
""
],
[
"Raman",
"M.",
""
]
] | We study N = 2 superconformal theories with gauge group SU(N) and 2N fundamental flavours in a locus of the Coulomb branch with a Z_N symmetry. In this special vacuum, we calculate the prepotential, the dual periods and the period matrix using equivariant localization. When the flavours are massless, we find that the period matrix is completely specified by [N/2] effective couplings. On each of these, we show that the S-duality group acts as a generalized triangle group and that its hauptmodul can be used to write a non-perturbatively exact relation between each effective coupling and the bare one. For N = 2, 3, 4 and 6, the generalized triangle group is an arithmetic Hecke group which contains a subgroup that is also a congruence subgroup of the modular group PSL(2,Z). For these cases, we introduce mass deformations that respect the symmetries of the special vacuum and show that the constraints arising from S-duality make it possible to resum the instanton contributions to the period matrix in terms of meromorphic modular forms which solve modular anomaly equations. |
1703.06033 | Elena Mirela Babalic Dr | Elena Mirela Babalic, Calin Iuliu Lazaroiu | Generalized two-field $\alpha$-attractors from the hyperbolic
triply-punctured sphere | 49 pages | Nuclear Physics B 937 (2018) 434-477 | 10.1016/j.nuclphysb.2018.10.012 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study generalized two-field $\alpha$-attractor models whose rescaled
scalar manifold is the triply-punctured sphere endowed with its complete
hyperbolic metric, whose underlying complex manifold is the modular curve
$Y(2)$. Using an explicit embedding into the end compactification, we compute
solutions of the cosmological evolution equations for a few globally
well-behaved scalar potentials, displaying particular trajectories with
inflationary behavior as well as more general cosmological trajectories of
surprising complexity. In such models, the orientation-preserving isometry
group of the scalar manifold is isomorphic with the permutation group on three
elements, acting on $Y(2)$ as the group of anharmonic transformations. When the
scalar potential is preserved by this action, $\alpha$-attractor models of this
type provide a geometric description of two-field `modular invariant
$j$-models' in terms of gravity coupled to a non-linear sigma model with
topologically non-trivial target and with a finite (as opposed to discrete but
infinite) group of symmetries. The precise relation between the two
perspectives is provided by the elliptic modular function $\lambda$, which can
be viewed as a field redefinition that eliminates almost all of the countably
infinite unphysical ambiguity present in the Poincar\'e half-plane description
of such models.
| [
{
"created": "Fri, 17 Mar 2017 14:36:41 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Nov 2018 07:48:03 GMT",
"version": "v2"
},
{
"created": "Tue, 9 Apr 2019 12:13:39 GMT",
"version": "v3"
}
] | 2019-04-10 | [
[
"Babalic",
"Elena Mirela",
""
],
[
"Lazaroiu",
"Calin Iuliu",
""
]
] | We study generalized two-field $\alpha$-attractor models whose rescaled scalar manifold is the triply-punctured sphere endowed with its complete hyperbolic metric, whose underlying complex manifold is the modular curve $Y(2)$. Using an explicit embedding into the end compactification, we compute solutions of the cosmological evolution equations for a few globally well-behaved scalar potentials, displaying particular trajectories with inflationary behavior as well as more general cosmological trajectories of surprising complexity. In such models, the orientation-preserving isometry group of the scalar manifold is isomorphic with the permutation group on three elements, acting on $Y(2)$ as the group of anharmonic transformations. When the scalar potential is preserved by this action, $\alpha$-attractor models of this type provide a geometric description of two-field `modular invariant $j$-models' in terms of gravity coupled to a non-linear sigma model with topologically non-trivial target and with a finite (as opposed to discrete but infinite) group of symmetries. The precise relation between the two perspectives is provided by the elliptic modular function $\lambda$, which can be viewed as a field redefinition that eliminates almost all of the countably infinite unphysical ambiguity present in the Poincar\'e half-plane description of such models. |
hep-th/0303014 | F. Loran | Farhang Loran | Non-Abelianizable First Class Constraints | minor corrections, to appear in Communications in Mathematical
Physics | Commun.Math.Phys.254:167-178,2005 | 10.1007/s00220-004-1248-7 | null | hep-th | null | We study the necessary and sufficient conditions on Abelianizable first class
constraints. The necessary condition is derived from topological considerations
on the structure of gauge group. The sufficient condition is obtained by
applying the theorem of implicit function in calculus and studying the local
structure of gauge orbits. Since the sufficient condition is necessary for
existence of proper gauge fixing conditions, we conclude that in the case of a
finite set of non-Abelianizable first class constraints, the Faddeev-Popov
determinant is vanishing for any choice of subsidiary constraints. This result
is explicitly examined for SO(3) gauge invariant model.
| [
{
"created": "Mon, 3 Mar 2003 12:58:31 GMT",
"version": "v1"
},
{
"created": "Sun, 13 Apr 2003 14:32:30 GMT",
"version": "v2"
},
{
"created": "Tue, 16 Sep 2003 04:48:56 GMT",
"version": "v3"
},
{
"created": "Tue, 18 Nov 2003 10:03:41 GMT",
"version": "v4"
},
{
"cr... | 2016-09-06 | [
[
"Loran",
"Farhang",
""
]
] | We study the necessary and sufficient conditions on Abelianizable first class constraints. The necessary condition is derived from topological considerations on the structure of gauge group. The sufficient condition is obtained by applying the theorem of implicit function in calculus and studying the local structure of gauge orbits. Since the sufficient condition is necessary for existence of proper gauge fixing conditions, we conclude that in the case of a finite set of non-Abelianizable first class constraints, the Faddeev-Popov determinant is vanishing for any choice of subsidiary constraints. This result is explicitly examined for SO(3) gauge invariant model. |
2010.10603 | Gleb Kotousov | Vladimir V. Bazhanov, Gleb A. Kotousov and Sergei L. Lukyanov | Equilibrium density matrices for the 2D black hole sigma models from an
integrable spin chain | 43 pages, 2 figures, 2 tables; published version, minor misprints
corrected | null | 10.1007/JHEP03(2021)169 | DESY 20-165 | hep-th cond-mat.stat-mech math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This work concerns the quantum Lorentzian and Euclidean black hole non-linear
sigma models. For the Euclidean black hole sigma model an equilibrium density
matrix is proposed, which reproduces the modular invariant partition function
from the 2001 paper of Maldacena, Ooguri and Son. For the Lorentzian black hole
sigma model, using its formulation as a gauged ${\rm SL}(2,\mathbb{R})$ WZW
model, we describe the linear and Hermitian structure of its space of states
and also propose an expression for the equilibrium density matrix. Our analysis
is guided by the results of the study of a certain critical, integrable spin
chain. In the scaling limit, the latter exhibits the key features of the
Lorentzian black hole sigma model including the same global symmetries, the
same algebra of extended conformal symmetry and a continuous spectrum of
conformal dimensions.
| [
{
"created": "Tue, 20 Oct 2020 20:24:36 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Mar 2021 09:59:17 GMT",
"version": "v2"
}
] | 2021-03-31 | [
[
"Bazhanov",
"Vladimir V.",
""
],
[
"Kotousov",
"Gleb A.",
""
],
[
"Lukyanov",
"Sergei L.",
""
]
] | This work concerns the quantum Lorentzian and Euclidean black hole non-linear sigma models. For the Euclidean black hole sigma model an equilibrium density matrix is proposed, which reproduces the modular invariant partition function from the 2001 paper of Maldacena, Ooguri and Son. For the Lorentzian black hole sigma model, using its formulation as a gauged ${\rm SL}(2,\mathbb{R})$ WZW model, we describe the linear and Hermitian structure of its space of states and also propose an expression for the equilibrium density matrix. Our analysis is guided by the results of the study of a certain critical, integrable spin chain. In the scaling limit, the latter exhibits the key features of the Lorentzian black hole sigma model including the same global symmetries, the same algebra of extended conformal symmetry and a continuous spectrum of conformal dimensions. |
hep-th/9308021 | Gerald Dunne | Daniel Cangemi (MIT) and Gerald Dunne (UConn) | Extended de Sitter Theory of Two Dimensional Gravitational Forces | 19pp, no figs., CTP 2228, UCONN-93-6 | Phys.Rev. D48 (1993) 5721-5729 | 10.1103/PhysRevD.48.5721 | null | hep-th gr-qc | null | We present a simple unifying gauge theoretical formulation of gravitational
theories in two dimensional spacetime. This formulation includes the effects of
a novel matter-gravity coupling which leads to an extended de Sitter symmetry
algebra on which the gauge theory is based. Contractions of this theory
encompass previously studied cases.
| [
{
"created": "Thu, 5 Aug 1993 15:46:09 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Cangemi",
"Daniel",
"",
"MIT"
],
[
"Dunne",
"Gerald",
"",
"UConn"
]
] | We present a simple unifying gauge theoretical formulation of gravitational theories in two dimensional spacetime. This formulation includes the effects of a novel matter-gravity coupling which leads to an extended de Sitter symmetry algebra on which the gauge theory is based. Contractions of this theory encompass previously studied cases. |
hep-th/0208017 | Konstantin Klimenko | R.G. Jafarov (Baku State U.) | Regge Asymptotics of the Scattering Amplitude in Ladder Approximation | LaTeX, 13 pages | null | null | null | hep-th | null | A method of calculation of the scattering amplitude for fermions and scalar
bosons with exchanging of a scalar particle in ladder approximation is
suggested. The Bethe-Salpeter ladder integral equations system for the
imaginary part of the amplitude is costructed and solution in the Regge
asymptotical form is found. The corrections to the amplitude due to the exit
from mass shell are calculated and the real part of the amplitude is found.
| [
{
"created": "Fri, 2 Aug 2002 16:29:45 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Jafarov",
"R. G.",
"",
"Baku State U."
]
] | A method of calculation of the scattering amplitude for fermions and scalar bosons with exchanging of a scalar particle in ladder approximation is suggested. The Bethe-Salpeter ladder integral equations system for the imaginary part of the amplitude is costructed and solution in the Regge asymptotical form is found. The corrections to the amplitude due to the exit from mass shell are calculated and the real part of the amplitude is found. |
0803.0749 | Cosimo Bambi | Cosimo Bambi, Katherine Freese | Dangerous implications of a minimum length in quantum gravity | 5 pages, no figure. v3: refereed version | Class.Quant.Grav.25:195013,2008 | 10.1088/0264-9381/25/19/195013 | WSU-HEP-0802 | hep-th astro-ph gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The existence of a minimum length and a generalization of the Heisenberg
uncertainty principle seem to be two fundamental ingredients required in any
consistent theory of quantum gravity. In this letter we show that they would
predict dangerous processes which are phenomenologically unacceptable. For
example, long--lived virtual super--Planck mass black holes may lead to rapid
proton decay. Possible solutions of this puzzle are briefly discussed.
| [
{
"created": "Wed, 5 Mar 2008 21:50:30 GMT",
"version": "v1"
},
{
"created": "Sat, 15 Mar 2008 20:39:24 GMT",
"version": "v2"
},
{
"created": "Thu, 17 Jul 2008 18:54:26 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Bambi",
"Cosimo",
""
],
[
"Freese",
"Katherine",
""
]
] | The existence of a minimum length and a generalization of the Heisenberg uncertainty principle seem to be two fundamental ingredients required in any consistent theory of quantum gravity. In this letter we show that they would predict dangerous processes which are phenomenologically unacceptable. For example, long--lived virtual super--Planck mass black holes may lead to rapid proton decay. Possible solutions of this puzzle are briefly discussed. |
hep-th/0106039 | Hermann Hessling | Hermann Hessling (FHTW Berlin) | On the Local Equilibrium Principle | 21 pages (LaTeX). An argument has been slightly improved with no
effect on the conclusions | null | null | null | hep-th | null | A physical system should be in a local equilibrium if it cannot be
distinguished from a global equilibrium by ``infinitesimally localized
measurements''. This seems to be a natural characterization of local
equilibrium, however the problem is to give a precise meaning to the
qualitative phrase ``infinitesimally localized measurements''.
A solution is suggested in form of a {\em Local Equilibrium Condition} (LEC)
which can be applied to non-interacting quanta.
The Unruh temperature of massless quanta is derived by applying LEC to an
arbitrary point inside the Rindler Wedge.
Massless quanta outside a hot sphere are analyzed. A stationary spherically
symmetric local equilibrium does only exist according to LEC if the temperature
is globally constant.
Using LEC a non-trivial stationary local equilibrium is found for rotating
massless quanta between two concentric cylinders of different temperatures.
This shows that quanta may behave like a fluid with a B\'enard instability.
| [
{
"created": "Tue, 5 Jun 2001 19:09:19 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Jun 2001 08:55:55 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Hessling",
"Hermann",
"",
"FHTW Berlin"
]
] | A physical system should be in a local equilibrium if it cannot be distinguished from a global equilibrium by ``infinitesimally localized measurements''. This seems to be a natural characterization of local equilibrium, however the problem is to give a precise meaning to the qualitative phrase ``infinitesimally localized measurements''. A solution is suggested in form of a {\em Local Equilibrium Condition} (LEC) which can be applied to non-interacting quanta. The Unruh temperature of massless quanta is derived by applying LEC to an arbitrary point inside the Rindler Wedge. Massless quanta outside a hot sphere are analyzed. A stationary spherically symmetric local equilibrium does only exist according to LEC if the temperature is globally constant. Using LEC a non-trivial stationary local equilibrium is found for rotating massless quanta between two concentric cylinders of different temperatures. This shows that quanta may behave like a fluid with a B\'enard instability. |
hep-th/9909084 | Valeri Dvoeglazov | Valeri V. Dvoeglazov and Sergei V. Khudyakov | The Modified Bargmann-Wigner Formalism: Longitudinal Fields, Parity and
All That | ReVTeX file, 9 pp., no figures. This is an invited paper for SSU-JINR
collection on the occasion of the 90th anniversary of the Saratov State
University | in "Problems of Modern Physics" (SSU-JINR volume), D2-99-263
(1999) 116-123 | null | EFUAZ FT-99-73 | hep-th | null | In the old papers of Ogievetskii and Polubarinov, Hayashi, Kalb and Ramond
the {\it notoph} concept, the longitudinal field originated from the
antisymmetric tensor, has been proposed. In our work we analyze the theory of
antisymmetric tensor field of the second rank from a viewpoint of the
normalization problem. We obtain the 4-potentials and field strengths, which
coincide with those which have been previously obtained in the works of
Ahluwalia and Dvoeglazov. Slightly modifying the Bargmann-Wigner field function
we conclude that it is possible to describe explicitly the degrees of freedom
of the photon and of the {\it notoph} by the same equation. The physical
consequences, such as parity properties of field functions, are discussed,
relations to the previous works are discussed as well. Moreover, we derive
equations for {\it symmetric} tensor of the second rank on the basis of the
same modification of the Bargmann-Wigner formalism, i.e. the equations which
describe dynamical behavior of the fields of maximal spin 2.
| [
{
"created": "Mon, 13 Sep 1999 20:35:07 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Dvoeglazov",
"Valeri V.",
""
],
[
"Khudyakov",
"Sergei V.",
""
]
] | In the old papers of Ogievetskii and Polubarinov, Hayashi, Kalb and Ramond the {\it notoph} concept, the longitudinal field originated from the antisymmetric tensor, has been proposed. In our work we analyze the theory of antisymmetric tensor field of the second rank from a viewpoint of the normalization problem. We obtain the 4-potentials and field strengths, which coincide with those which have been previously obtained in the works of Ahluwalia and Dvoeglazov. Slightly modifying the Bargmann-Wigner field function we conclude that it is possible to describe explicitly the degrees of freedom of the photon and of the {\it notoph} by the same equation. The physical consequences, such as parity properties of field functions, are discussed, relations to the previous works are discussed as well. Moreover, we derive equations for {\it symmetric} tensor of the second rank on the basis of the same modification of the Bargmann-Wigner formalism, i.e. the equations which describe dynamical behavior of the fields of maximal spin 2. |
0907.3565 | Ilya Gurwich | Ilya Gurwich and Aharon Davidson | Unified Brane Gravity: Cosmological Dark Matter from Scale Dependent
Newton Constant | 6 pages, to be published in Phys. Rev. D | Phys.Rev.D80:024039,2009 | 10.1103/PhysRevD.80.024039 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze, within the framework of unified brane gravity, the weak-field
perturbations caused by the presence of matter on a 3-brane. Although deviating
from the Randall-Sundrum approach, the masslessness of the graviton is still
preserved. In particular, the four-dimensional Newton force law is recovered,
but serendipitously, the corresponding Newton constant is shown to be
necessarily lower than the one which governs FRW cosmology. This has the
potential to puzzle out cosmological dark matter. A subsequent conjecture
concerning galactic dark matter follows.
| [
{
"created": "Tue, 21 Jul 2009 19:12:04 GMT",
"version": "v1"
}
] | 2009-08-13 | [
[
"Gurwich",
"Ilya",
""
],
[
"Davidson",
"Aharon",
""
]
] | We analyze, within the framework of unified brane gravity, the weak-field perturbations caused by the presence of matter on a 3-brane. Although deviating from the Randall-Sundrum approach, the masslessness of the graviton is still preserved. In particular, the four-dimensional Newton force law is recovered, but serendipitously, the corresponding Newton constant is shown to be necessarily lower than the one which governs FRW cosmology. This has the potential to puzzle out cosmological dark matter. A subsequent conjecture concerning galactic dark matter follows. |
2101.07836 | Yoav Zigdon | Ram Brustein, Yoav Zigdon | Effective field theory for closed strings near the Hagedorn temperature | Typos corrected | null | 10.1007/JHEP04(2021)107 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss interacting, closed, bosonic and superstrings in thermal
equilibrium at temperatures close to the Hagedorn temperature in flat space. We
calculate S-matrix elements of the strings at the Hagedorn temperature and use
them to construct a low-energy effective action for interacting strings near
the Hagedorn temperature. We show, in particular, that the four-point amplitude
of massless winding modes leads to a positive quartic interaction. Furthermore,
the effective field theory has a generalized conformal structure, namely, it is
conformally invariant when the temperature is assigned an appropriate scaling
dimension. Then, we show that the equations of motion resulting from the
effective action possess a winding-mode-condensate background solution above
the Hagedorn temperature and present a worldsheet conformal field theory,
similar to a Sine-Gordon theory, that corresponds to this solution. We find
that the Hagedorn phase transition in our setup is second order, in contrast to
a first-order transition that was found previously in different setups.
| [
{
"created": "Tue, 19 Jan 2021 19:44:11 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Apr 2021 13:47:09 GMT",
"version": "v2"
}
] | 2021-04-28 | [
[
"Brustein",
"Ram",
""
],
[
"Zigdon",
"Yoav",
""
]
] | We discuss interacting, closed, bosonic and superstrings in thermal equilibrium at temperatures close to the Hagedorn temperature in flat space. We calculate S-matrix elements of the strings at the Hagedorn temperature and use them to construct a low-energy effective action for interacting strings near the Hagedorn temperature. We show, in particular, that the four-point amplitude of massless winding modes leads to a positive quartic interaction. Furthermore, the effective field theory has a generalized conformal structure, namely, it is conformally invariant when the temperature is assigned an appropriate scaling dimension. Then, we show that the equations of motion resulting from the effective action possess a winding-mode-condensate background solution above the Hagedorn temperature and present a worldsheet conformal field theory, similar to a Sine-Gordon theory, that corresponds to this solution. We find that the Hagedorn phase transition in our setup is second order, in contrast to a first-order transition that was found previously in different setups. |
1403.3058 | Esben M{\o}lgaard | Esben M{\o}lgaard and Robert Shrock | Renormalization-Group Flows and Fixed Points in Yukawa Theories | 15 pages, 7 figures | Phys. Rev. D 89, 105007 (2014) | 10.1103/PhysRevD.89.105007 | CP3-Origins-2014-008 DNRF90, DIAS-2014-8; YITP-Stony Brook-2013-39 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study renormalization-group flows in Yukawa theories with massless
fermions, including determination of fixed points and curves that separate
regions of different flow behavior. We assess the reliability of perturbative
calculations for various values of Yukawa coupling $y$ and quartic scalar
coupling $\lambda$ by comparing the properties of flows obtained with the beta
functions of these couplings calculated to different orders in the loop
expansion. The results provide a determination of the region in $y$ and
$\lambda$ where calculations up to two loops can yield reasonably reliable
results.
| [
{
"created": "Wed, 12 Mar 2014 18:34:22 GMT",
"version": "v1"
}
] | 2014-05-14 | [
[
"Mølgaard",
"Esben",
""
],
[
"Shrock",
"Robert",
""
]
] | We study renormalization-group flows in Yukawa theories with massless fermions, including determination of fixed points and curves that separate regions of different flow behavior. We assess the reliability of perturbative calculations for various values of Yukawa coupling $y$ and quartic scalar coupling $\lambda$ by comparing the properties of flows obtained with the beta functions of these couplings calculated to different orders in the loop expansion. The results provide a determination of the region in $y$ and $\lambda$ where calculations up to two loops can yield reasonably reliable results. |
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