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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2404.00877
|
Yikun Jiang
|
Ling-Yan Hung and Yikun Jiang
|
Building up quantum spacetimes with BCFT Legos
|
11 pages, 6 figures, expanded version of essay written for the
Gravity Research Foundation 2024 Awards for Essays on Gravitation
| null | null | null |
hep-th cond-mat.str-el gr-qc math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Is it possible to read off the quantum gravity dual of a CFT directly from
its operator algebra? In this essay, we present a step-by-step recipe
synthesizing results and techniques from conformal bootstrap, topological
symmetries, tensor networks, a novel symmetry-preserving real-space
renormalization algorithm devised originally in lattice models, and the
asymptotics of quantum $6j$ symbols, thereby providing an answer in the
affirmative. Quantum 2D Liouville theory serves as a simple and explicit
example, illustrating how the quantum gravitational path integral can be built
up from local pieces of BCFT correlation functions, which we call the ``BCFT
Legos''. The constructive map between gravity and CFT naturally and explicitly
bridges local geometrical data, algebraic structures, and quantum entanglement,
as envisaged by the $\it{It \, from \, Qubit}$ motto.
|
[
{
"created": "Mon, 1 Apr 2024 03:14:36 GMT",
"version": "v1"
}
] |
2024-04-02
|
[
[
"Hung",
"Ling-Yan",
""
],
[
"Jiang",
"Yikun",
""
]
] |
Is it possible to read off the quantum gravity dual of a CFT directly from its operator algebra? In this essay, we present a step-by-step recipe synthesizing results and techniques from conformal bootstrap, topological symmetries, tensor networks, a novel symmetry-preserving real-space renormalization algorithm devised originally in lattice models, and the asymptotics of quantum $6j$ symbols, thereby providing an answer in the affirmative. Quantum 2D Liouville theory serves as a simple and explicit example, illustrating how the quantum gravitational path integral can be built up from local pieces of BCFT correlation functions, which we call the ``BCFT Legos''. The constructive map between gravity and CFT naturally and explicitly bridges local geometrical data, algebraic structures, and quantum entanglement, as envisaged by the $\it{It \, from \, Qubit}$ motto.
| 18.498062
| 20.381113
| 18.864294
| 15.914186
| 18.630583
| 18.309441
| 19.338102
| 17.611897
| 18.162474
| 22.466183
| 17.666681
| 16.428717
| 17.030491
| 16.692993
| 16.228874
| 16.430702
| 16.308088
| 16.578634
| 17.118155
| 17.43796
| 15.689308
|
hep-th/0301098
|
Klaus Behrndt
|
Klaus Behrndt
|
Intersecting branes from 7-manifolds with G_2 holonomy
|
7 pages, Latex, talk presented at the 35th Symposium Ahrenshoop,
August 2002
|
Fortsch.Phys. 51 (2003) 664-669
|
10.1002/prop.200310080
| null |
hep-th
| null |
In this talk I discuss intersecting brane configurations coming from explicit
metrics with G_2 holonomy. An example of a 7-manifold which representing a R^3
bundle over a self-dual Einstein space is described and the potential appearing
after compactification over the 6-d twistor space is derived.
|
[
{
"created": "Wed, 15 Jan 2003 13:30:42 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Behrndt",
"Klaus",
""
]
] |
In this talk I discuss intersecting brane configurations coming from explicit metrics with G_2 holonomy. An example of a 7-manifold which representing a R^3 bundle over a self-dual Einstein space is described and the potential appearing after compactification over the 6-d twistor space is derived.
| 21.207378
| 16.362904
| 18.845629
| 16.839333
| 14.336787
| 18.57147
| 16.700666
| 16.187538
| 16.276695
| 21.922123
| 17.480968
| 17.530602
| 18.933838
| 17.922676
| 18.2773
| 17.008968
| 17.540821
| 17.274279
| 18.033957
| 19.399733
| 17.535418
|
hep-th/9410123
|
Jorge Stephany Ruiz
|
R.Gianvittorio, A.Restuccia and J.Stephany
|
A New Action Principle for Witten's Topological Field Theory
|
8 pages, SB/F-94-225
|
Phys. Lett. B347 (1995) 279
|
10.1016/0370-2693(95)00061-O
| null |
hep-th
| null |
In this letter a new gauge invariant, metric independent action is introduced
from which Witten's Topological Quantum Field Theory may be obtained after
gauge fixing using standard BRST techniques. In our model the BRST algebra of
transformations, under which the effective action is invariant, close off-shell
in distintion with what occurs in the one proposed by Labastida and Pernici.
Our approach provides the geometrical principle for the quantum theory. We also
compare our results with an alternative formulation presented by Baulieu and
Singer.
|
[
{
"created": "Tue, 18 Oct 1994 15:36:45 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Gianvittorio",
"R.",
""
],
[
"Restuccia",
"A.",
""
],
[
"Stephany",
"J.",
""
]
] |
In this letter a new gauge invariant, metric independent action is introduced from which Witten's Topological Quantum Field Theory may be obtained after gauge fixing using standard BRST techniques. In our model the BRST algebra of transformations, under which the effective action is invariant, close off-shell in distintion with what occurs in the one proposed by Labastida and Pernici. Our approach provides the geometrical principle for the quantum theory. We also compare our results with an alternative formulation presented by Baulieu and Singer.
| 16.233929
| 16.187769
| 15.764334
| 14.439137
| 15.789126
| 15.802028
| 14.953474
| 14.481936
| 15.222815
| 18.021013
| 14.902842
| 15.807306
| 15.319722
| 15.006101
| 15.255172
| 15.806029
| 15.339488
| 15.025153
| 15.268581
| 15.334325
| 14.365873
|
hep-th/9412096
|
Klaus Lang
|
Werner Ruehl
|
Double Scaling Limits and Catastrophes of the zerodimensional O(N)
Vector Sigma Model: The A-Series
|
20 pages, LaTeX, two figures available from author on request
| null | null |
KL-TH-94/21
|
hep-th
| null |
We evaluate the partition functions in the neighbourhood of catastrophes by
saddle point integration and express them in terms of generalized Airy
functions.
|
[
{
"created": "Mon, 12 Dec 1994 10:26:57 GMT",
"version": "v1"
}
] |
2009-09-25
|
[
[
"Ruehl",
"Werner",
""
]
] |
We evaluate the partition functions in the neighbourhood of catastrophes by saddle point integration and express them in terms of generalized Airy functions.
| 18.348063
| 11.65333
| 17.682261
| 14.670738
| 14.108267
| 12.408785
| 12.092773
| 12.810744
| 11.491945
| 16.310053
| 13.664831
| 14.337876
| 15.568966
| 14.59986
| 15.101307
| 14.287572
| 13.502731
| 14.298333
| 15.283185
| 16.051872
| 14.37511
|
1106.5503
|
Yu Nakayama
|
Yu Nakayama and Hirosi Ooguri
|
Comments on Worldsheet Description of the Omega Background
|
11 pages
|
Int. J. Mod. Phys. A 27 (2012) 1250122
|
10.1142/S0217751X12501229
|
CALT-68-2837; IPMU11-0094
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Nekrasov's partition function is defined on a flat bundle of R^4 over S^1
called the Omega background. When the fibration is self-dual, the partition
function is known to be equal to the topological string partition function,
which computes scattering amplitudes of self-dual gravitons and graviphotons in
type II superstring compactified on a Calabi-Yau manifold. We propose a
generalization of this correspondence when the fibration is not necessarily
self-dual.
|
[
{
"created": "Mon, 27 Jun 2011 20:00:04 GMT",
"version": "v1"
}
] |
2012-10-08
|
[
[
"Nakayama",
"Yu",
""
],
[
"Ooguri",
"Hirosi",
""
]
] |
Nekrasov's partition function is defined on a flat bundle of R^4 over S^1 called the Omega background. When the fibration is self-dual, the partition function is known to be equal to the topological string partition function, which computes scattering amplitudes of self-dual gravitons and graviphotons in type II superstring compactified on a Calabi-Yau manifold. We propose a generalization of this correspondence when the fibration is not necessarily self-dual.
| 5.962804
| 5.241386
| 6.045787
| 4.937003
| 5.038666
| 5.076295
| 5.330801
| 5.028001
| 5.00737
| 6.135088
| 4.892547
| 4.894924
| 4.891213
| 4.862617
| 5.004999
| 4.98027
| 4.72427
| 4.84335
| 4.928362
| 4.97331
| 4.908866
|
hep-th/9310096
|
P. K. Ghosh
|
Pijush K. Ghosh
|
Bogomol'nyi Equations of Maxwell-Chern-Simons vortices from a
generalized Abelian Higgs Model
|
30 pages(4 figures not included), RevTeX, IP/BBSR/93-62
|
Phys.Rev. D49 (1994) 5458-5468
|
10.1103/PhysRevD.49.5458
| null |
hep-th
| null |
We consider a generalization of the abelian Higgs model with a Chern-Simons
term by modifying two terms of the usual Lagrangian. We multiply a dielectric
function with the Maxwell kinetic energy term and incorporate nonminimal
interaction by considering generalized covariant derivative. We show that for a
particular choice of the dielectric function this model admits both topological
as well as nontopological charged vortices satisfying Bogomol'nyi bound for
which the magnetic flux, charge and angular momentum are not quantized. However
the energy for the topolgical vortices is quantized and in each sector these
topological vortex solutions are infinitely degenerate. In the nonrelativistic
limit, this model admits static self-dual soliton solutions with nonzero finite
energy configuration. For the whole class of dielectric function for which the
nontopological vortices exists in the relativistic theory, the charge density
satisfies the same Liouville equation in the nonrelativistic limit.
|
[
{
"created": "Sun, 17 Oct 1993 19:16:57 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Ghosh",
"Pijush K.",
""
]
] |
We consider a generalization of the abelian Higgs model with a Chern-Simons term by modifying two terms of the usual Lagrangian. We multiply a dielectric function with the Maxwell kinetic energy term and incorporate nonminimal interaction by considering generalized covariant derivative. We show that for a particular choice of the dielectric function this model admits both topological as well as nontopological charged vortices satisfying Bogomol'nyi bound for which the magnetic flux, charge and angular momentum are not quantized. However the energy for the topolgical vortices is quantized and in each sector these topological vortex solutions are infinitely degenerate. In the nonrelativistic limit, this model admits static self-dual soliton solutions with nonzero finite energy configuration. For the whole class of dielectric function for which the nontopological vortices exists in the relativistic theory, the charge density satisfies the same Liouville equation in the nonrelativistic limit.
| 8.338324
| 8.109521
| 8.613166
| 7.698468
| 8.004772
| 8.145679
| 7.905574
| 8.194342
| 7.36537
| 9.200502
| 7.411119
| 7.648753
| 8.451272
| 7.744571
| 7.799791
| 7.706872
| 8.005831
| 7.753474
| 7.498059
| 8.172188
| 7.841319
|
2103.15168
|
Balthazar de Vaulchier
|
Herv\'e Partouche, Nicolaos Toumbas and Balthazar de Vaulchier
|
Wavefunction of the universe: Reparametrization invariance and field
redefinitions of the minisuperspace path integral
|
1+56 pages, 1 figure
| null |
10.1016/j.nuclphysb.2021.115600
|
CPHT-RR027.032021
|
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We consider the Hartle-Hawking wavefunction of the universe defined as a
Euclidean path integral that satisfies the "no-boundary proposal." We focus on
the simplest minisuperspace model that comprises a single scale factor degree
of freedom and a positive cosmological constant. The model can be seen as a
non-linear $\sigma$-model with a line-segment base. We reduce the path integral
over the lapse function to an integral over the proper length of the base and
use diffeomorphism-invariant measures for the ghosts and the scale factor. As a
result, the gauge-fixed path integral is independent of the gauge. However, we
point out that all field redefinitions of the scale factor degree of freedom
yield different choices of gauge-invariant path-integral measures. For each
prescription, we compute the wavefunction at the semi-classical level and find
a different result. We resolve in each case the ambiguity in the form of the
Wheeler-DeWitt equation at this level of approximation. By imposing that the
Hamiltonians associated with these possibly distinct quantum theories are
Hermitian, we determine the inner products of the corresponding Hilbert spaces
and find that they lead to a universal norm, at least semi-classically. Quantum
predictions are thus independent of the prescription at this level of
approximation. Finally, all wavefunctions of the Hilbert spaces of the
minisuperspace model we consider turn out to be non-normalizable, including the
no-boundary states.
|
[
{
"created": "Sun, 28 Mar 2021 16:33:26 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Nov 2021 10:54:19 GMT",
"version": "v2"
}
] |
2021-11-17
|
[
[
"Partouche",
"Hervé",
""
],
[
"Toumbas",
"Nicolaos",
""
],
[
"de Vaulchier",
"Balthazar",
""
]
] |
We consider the Hartle-Hawking wavefunction of the universe defined as a Euclidean path integral that satisfies the "no-boundary proposal." We focus on the simplest minisuperspace model that comprises a single scale factor degree of freedom and a positive cosmological constant. The model can be seen as a non-linear $\sigma$-model with a line-segment base. We reduce the path integral over the lapse function to an integral over the proper length of the base and use diffeomorphism-invariant measures for the ghosts and the scale factor. As a result, the gauge-fixed path integral is independent of the gauge. However, we point out that all field redefinitions of the scale factor degree of freedom yield different choices of gauge-invariant path-integral measures. For each prescription, we compute the wavefunction at the semi-classical level and find a different result. We resolve in each case the ambiguity in the form of the Wheeler-DeWitt equation at this level of approximation. By imposing that the Hamiltonians associated with these possibly distinct quantum theories are Hermitian, we determine the inner products of the corresponding Hilbert spaces and find that they lead to a universal norm, at least semi-classically. Quantum predictions are thus independent of the prescription at this level of approximation. Finally, all wavefunctions of the Hilbert spaces of the minisuperspace model we consider turn out to be non-normalizable, including the no-boundary states.
| 7.427887
| 7.885362
| 8.091561
| 7.792523
| 7.702581
| 8.24334
| 8.455609
| 7.714575
| 7.613643
| 8.670543
| 7.548389
| 7.507461
| 7.508845
| 7.46637
| 7.357011
| 7.473063
| 7.460058
| 7.400502
| 7.546886
| 7.545471
| 7.365494
|
2003.06823
|
Rafael I. Nepomechie
|
Rafael I. Nepomechie
|
The $A_m^{(1)}$ Q-system
|
13 pages, v2: references added, and appendix removed; v3: more
references added, version to appear in Int. J. Mod. Phys. Lett. A
| null |
10.1142/S0217732320502600
|
UMTG-307
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a Q-system for the $A_m^{(1)}$ quantum integrable spin chain. We
also find compact determinant expressions for all the Q-functions, both for the
rational and trigonometric cases.
|
[
{
"created": "Sun, 15 Mar 2020 13:16:13 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Mar 2020 17:03:01 GMT",
"version": "v2"
},
{
"created": "Sat, 8 Aug 2020 13:48:17 GMT",
"version": "v3"
}
] |
2020-08-11
|
[
[
"Nepomechie",
"Rafael I.",
""
]
] |
We propose a Q-system for the $A_m^{(1)}$ quantum integrable spin chain. We also find compact determinant expressions for all the Q-functions, both for the rational and trigonometric cases.
| 10.687893
| 9.267091
| 13.369913
| 8.938531
| 6.994255
| 7.998803
| 8.084134
| 7.814006
| 7.261037
| 11.660257
| 7.960433
| 8.122005
| 11.134355
| 8.464309
| 7.831281
| 7.628992
| 8.149872
| 8.122078
| 8.000534
| 9.930364
| 7.696561
|
2207.12681
|
Yuan Zhong
|
Yuan Zhong
|
Singular P\"oschl-Teller II potentials and gravitating kinks
|
13 pages, 2 figures. Minor revision of the text, Fig. 2 is redrawn,
and some new references are added
|
JHEP09(2022)165
|
10.1007/JHEP09(2022)165
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We report a two-dimensional (2D) gravitating kink model, for which both the
background field equations and the linear perturbation equation are exactly
solvable. The background solution describes a sine-Gordon kink that
interpolating between two asymptotic AdS$_2$ spaces, and can be regarded as a
2D thick brane world solution. The linear perturbation equation can be recasted
into a Schr\"odinger-like equation with singular P\"oschl-Teller II potentials.
There is no tachyonic state in the spectrum, so the solution is stable against
the linear perturbations. Besides, there can be $n=0,1,2,\cdots$ bounded
vibrational modes around the kink. The number of these vibrational modes varies
with model parameters.
|
[
{
"created": "Tue, 26 Jul 2022 06:48:06 GMT",
"version": "v1"
},
{
"created": "Sat, 30 Jul 2022 04:35:15 GMT",
"version": "v2"
}
] |
2022-09-22
|
[
[
"Zhong",
"Yuan",
""
]
] |
We report a two-dimensional (2D) gravitating kink model, for which both the background field equations and the linear perturbation equation are exactly solvable. The background solution describes a sine-Gordon kink that interpolating between two asymptotic AdS$_2$ spaces, and can be regarded as a 2D thick brane world solution. The linear perturbation equation can be recasted into a Schr\"odinger-like equation with singular P\"oschl-Teller II potentials. There is no tachyonic state in the spectrum, so the solution is stable against the linear perturbations. Besides, there can be $n=0,1,2,\cdots$ bounded vibrational modes around the kink. The number of these vibrational modes varies with model parameters.
| 7.516185
| 5.989083
| 7.31087
| 6.055834
| 6.038479
| 6.0317
| 6.561346
| 6.223079
| 6.21036
| 7.352495
| 6.074128
| 6.421359
| 6.838444
| 6.498879
| 6.534361
| 6.726938
| 6.371047
| 6.37096
| 6.597905
| 6.845496
| 6.247505
|
1005.3581
|
Motomu Tsuda
|
Kazunari Shima and Motomu Tsuda
|
Phase Transition of NLSUSY Space-Time and Unity of Nature
|
12 pages, Talk given at Scale and Duality in Quantum Science
Workshop, Constituents, Fundamental Forces and Symmetries of the Universe
04-06 November, 2009, RIMS-YITP, Kyoto University, Kyoto
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The mysterious relation between the large scale structure of the universe and
the tiny (Planck) scale structure of the particle physics, e.g. the observed
mysterious relation between the (dark) energy density (and the dark matter) of
the universe and the origin of the tiny neutrino mass (and the SUSY breaking
mass scale) of the particle physics may be explained simply by the nonlinear
supersymmmetric general relativity theory (NLSUSY GR).
|
[
{
"created": "Thu, 20 May 2010 03:12:49 GMT",
"version": "v1"
}
] |
2010-05-21
|
[
[
"Shima",
"Kazunari",
""
],
[
"Tsuda",
"Motomu",
""
]
] |
The mysterious relation between the large scale structure of the universe and the tiny (Planck) scale structure of the particle physics, e.g. the observed mysterious relation between the (dark) energy density (and the dark matter) of the universe and the origin of the tiny neutrino mass (and the SUSY breaking mass scale) of the particle physics may be explained simply by the nonlinear supersymmmetric general relativity theory (NLSUSY GR).
| 9.713393
| 9.248513
| 10.094885
| 8.452556
| 9.34992
| 9.255616
| 8.575482
| 8.587967
| 8.669497
| 10.787559
| 9.354092
| 8.890698
| 9.100241
| 9.15862
| 9.140126
| 9.370965
| 9.387023
| 9.071511
| 9.326947
| 9.2708
| 9.582159
|
hep-th/0408093
|
Mohammad Shikakhwa
|
A.Albeed and M.S.Shikakhwa
|
The Spin Interaction of a Dirac Particle in an Aharonov-Bohm Potential
in First Order Scattering
|
9 pages, two figures.Published version. Title and content slightly
modified
|
Int.J.Theor. Phys. vol.46, pp 405 (2007)
| null | null |
hep-th math-ph math.MP quant-ph
| null |
For a Dirac particle in an Aharonov-Bohm (AB) potential, it is shown that the
spin interaction (SI) operator which governs the transitions in the spin sector
of the first order S-matrix is related to one of the generators of rotation in
the spin space of the particle. This operator, which is given by the projection
of the spin operator $\mathbf{\Sigma}$ along the direction of the total
momentum of the system, and the two operators constructed from the projections
of the $\mathbf{\Sigma}$ operator along the momentum transfer and the
z-directions close the SU(2) algebra.It is suggested, then, that these two
directions of the total momentum and the momentum transfer form some sort of
natural intrinsic directions in terms of which the spin dynamics of the
scattering process at first order can be formulated conveniently. A formulation
and an interpretation of the conservation of helicity at first order using the
spin projection operators along these directions is presented .
|
[
{
"created": "Wed, 11 Aug 2004 19:55:42 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Nov 2007 13:12:31 GMT",
"version": "v2"
}
] |
2007-11-13
|
[
[
"Albeed",
"A.",
""
],
[
"Shikakhwa",
"M. S.",
""
]
] |
For a Dirac particle in an Aharonov-Bohm (AB) potential, it is shown that the spin interaction (SI) operator which governs the transitions in the spin sector of the first order S-matrix is related to one of the generators of rotation in the spin space of the particle. This operator, which is given by the projection of the spin operator $\mathbf{\Sigma}$ along the direction of the total momentum of the system, and the two operators constructed from the projections of the $\mathbf{\Sigma}$ operator along the momentum transfer and the z-directions close the SU(2) algebra.It is suggested, then, that these two directions of the total momentum and the momentum transfer form some sort of natural intrinsic directions in terms of which the spin dynamics of the scattering process at first order can be formulated conveniently. A formulation and an interpretation of the conservation of helicity at first order using the spin projection operators along these directions is presented .
| 9.713678
| 10.695249
| 9.726405
| 9.465075
| 9.959551
| 10.455634
| 9.946033
| 10.950709
| 9.386528
| 10.402586
| 9.469262
| 9.477063
| 9.215321
| 8.974262
| 9.629907
| 9.448721
| 9.328417
| 9.516829
| 9.356185
| 9.097935
| 9.509811
|
0803.3304
|
Boris Kosyakov
|
B. P. Kosyakov
|
Electromagnetic radiation in even-dimensional spacetimes
|
12 pages, no figures, this paper is dedicated to Prof. J. L.
Buchbinder in celebration of his sixtieth birthday; v2: minor misprints are
corrected, a further relevant reference is added
|
Int.J.Mod.Phys.A23:4695-4708,2008
|
10.1142/S0217751X08041451
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The basic concepts and mathematical constructions of the Maxwell--Lorentz
electrodynamics in flat spacetime of an arbitrary even dimension $d=2n$ are
briefly reviewed. We show that the retarded field strength ${\cal
F}^{(2n)}_{\mu\nu}$ due to a point charge living in a $2n$-dimensional world
can be algebraically expressed in terms of the retarded vector potentials
${\cal A}^{(2m)}_{\mu}$ generated by this charge as if it were accommodated in
$2m$-dimensional worlds nearby, $2\le m\le n+1$. With this finding, the rate of
radiated energy-momentum of the electromagnetic field takes a compact form.
|
[
{
"created": "Sun, 23 Mar 2008 06:00:19 GMT",
"version": "v1"
},
{
"created": "Mon, 31 Mar 2008 17:45:56 GMT",
"version": "v2"
}
] |
2008-12-25
|
[
[
"Kosyakov",
"B. P.",
""
]
] |
The basic concepts and mathematical constructions of the Maxwell--Lorentz electrodynamics in flat spacetime of an arbitrary even dimension $d=2n$ are briefly reviewed. We show that the retarded field strength ${\cal F}^{(2n)}_{\mu\nu}$ due to a point charge living in a $2n$-dimensional world can be algebraically expressed in terms of the retarded vector potentials ${\cal A}^{(2m)}_{\mu}$ generated by this charge as if it were accommodated in $2m$-dimensional worlds nearby, $2\le m\le n+1$. With this finding, the rate of radiated energy-momentum of the electromagnetic field takes a compact form.
| 6.964162
| 7.137089
| 6.971842
| 6.275523
| 7.236216
| 7.265729
| 7.356163
| 6.731162
| 6.636511
| 7.72726
| 6.79638
| 6.71608
| 6.338579
| 6.249539
| 7.008617
| 7.097683
| 6.827565
| 6.507417
| 6.443935
| 6.720264
| 6.80247
|
0707.0405
|
Orlando Panella
|
O. Panella
|
Casimir-Polder intermolecular forces in minimal length theories
|
1 Figure. Version published by Physical Review D. Few references
added, typos corrected
|
Phys.Rev.D76:045012,2007
|
10.1103/PhysRevD.76.045012
| null |
hep-th hep-ph
| null |
Generalized uncertainty relations are known to provide a minimal length
$\hbar\sqrt{\beta}$. The effect of such minimal length in the Casimir-Polder
interactions between neutral atoms (molecules) is studied. The first order
correction term in the minimal uncertainty parameter is derived and found to
describe an attractive potential scaling as $r^{-9}$ as opposed to the well
known $r^{-7}$ long range retarded potential.
|
[
{
"created": "Tue, 3 Jul 2007 12:40:01 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Sep 2007 14:51:03 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Panella",
"O.",
""
]
] |
Generalized uncertainty relations are known to provide a minimal length $\hbar\sqrt{\beta}$. The effect of such minimal length in the Casimir-Polder interactions between neutral atoms (molecules) is studied. The first order correction term in the minimal uncertainty parameter is derived and found to describe an attractive potential scaling as $r^{-9}$ as opposed to the well known $r^{-7}$ long range retarded potential.
| 9.696186
| 10.542198
| 9.155687
| 8.731704
| 9.894698
| 10.848598
| 9.616961
| 9.205861
| 9.230088
| 8.665978
| 9.162837
| 8.756908
| 8.755096
| 8.244106
| 8.398715
| 8.6852
| 9.046867
| 8.896742
| 8.905152
| 9.069873
| 8.886865
|
2312.08275
|
Luca Capizzi
|
Luca Capizzi, Andrei Rotaru
|
Thermal entanglement in conformal junctions
|
Minor changes. Published version
|
JHEP05 (2024) 010
| null | null |
hep-th cond-mat.stat-mech quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a quantum junction described by a 1+1-dimensional boundary
conformal field theory (BCFT). Our analysis focuses on correlations emerging at
finite temperature, achieved through the computation of entanglement measures.
Our approach relies on characterizing correlation functions of twist fields
using BCFT techniques. We provide non-perturbative predictions for the
crossover between low and high temperatures. An intriguing interplay between
bulk and boundary effects, associated with the bulk/boundary scaling dimensions
of the fields above, is found. In particular, the entanglement entropy is
primarily influenced by bulk thermal fluctuations, exhibiting extensiveness for
large system sizes with a prefactor independent of the scattering properties of
the defect. In contrast, negativity is governed by fluctuations across the
entangling points only, adhering to an area law; its value depends
non-trivially on the defect, and it diverges logarithmically as the temperature
is decreased. To validate our predictions, we numerically check them for free
fermions on the lattice, finding good agreement.
|
[
{
"created": "Wed, 13 Dec 2023 16:43:56 GMT",
"version": "v1"
},
{
"created": "Sat, 25 May 2024 07:13:25 GMT",
"version": "v2"
}
] |
2024-05-28
|
[
[
"Capizzi",
"Luca",
""
],
[
"Rotaru",
"Andrei",
""
]
] |
We consider a quantum junction described by a 1+1-dimensional boundary conformal field theory (BCFT). Our analysis focuses on correlations emerging at finite temperature, achieved through the computation of entanglement measures. Our approach relies on characterizing correlation functions of twist fields using BCFT techniques. We provide non-perturbative predictions for the crossover between low and high temperatures. An intriguing interplay between bulk and boundary effects, associated with the bulk/boundary scaling dimensions of the fields above, is found. In particular, the entanglement entropy is primarily influenced by bulk thermal fluctuations, exhibiting extensiveness for large system sizes with a prefactor independent of the scattering properties of the defect. In contrast, negativity is governed by fluctuations across the entangling points only, adhering to an area law; its value depends non-trivially on the defect, and it diverges logarithmically as the temperature is decreased. To validate our predictions, we numerically check them for free fermions on the lattice, finding good agreement.
| 11.077336
| 12.192432
| 12.177618
| 11.252684
| 12.054377
| 11.459737
| 11.549875
| 12.080815
| 11.967298
| 13.953086
| 10.874999
| 11.2364
| 12.009096
| 11.451068
| 11.583099
| 11.750234
| 11.514001
| 11.517908
| 11.151637
| 12.179461
| 11.094292
|
hep-th/9910248
|
Paul S. Aspinwall
|
Paul S. Aspinwall and M. Ronen Plesser
|
Heterotic String Corrections from the Dual Type II String
|
21 pages, 5 figures, refs added
|
JHEP 0004:025,2000
|
10.1088/1126-6708/2000/04/025
|
DUKE-CGTP-99-08
|
hep-th
| null |
We introduce a method of using the a dual type IIA string to compute
alpha'-corrections to the moduli space of heterotic string compactifications.
In particular we study the hypermultiplet moduli space of a heterotic string on
a K3 surface. One application of this machinery shows that type IIB strings
compactified on a Calabi-Yau space suffer from worldsheet instantons, spacetime
instantons and, in addition, "mixed" instantons which in a sense are both
worldsheet and spacetime. As another application we look at the hyperkaehler
limit of the moduli space in which the K3 surface becomes an ALE space. This is
a variant of the "geometric engineering" method used for vector multiplet
moduli space and should be applicable to a wide range of examples. In
particular we reproduce Sen and Witten's result for the heterotic string on an
A1 singularity and a trivial bundle and generalize this to a collection of E8
point-like instantons on an ALE space.
|
[
{
"created": "Fri, 29 Oct 1999 19:15:47 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Nov 1999 19:25:11 GMT",
"version": "v2"
}
] |
2011-10-11
|
[
[
"Aspinwall",
"Paul S.",
""
],
[
"Plesser",
"M. Ronen",
""
]
] |
We introduce a method of using the a dual type IIA string to compute alpha'-corrections to the moduli space of heterotic string compactifications. In particular we study the hypermultiplet moduli space of a heterotic string on a K3 surface. One application of this machinery shows that type IIB strings compactified on a Calabi-Yau space suffer from worldsheet instantons, spacetime instantons and, in addition, "mixed" instantons which in a sense are both worldsheet and spacetime. As another application we look at the hyperkaehler limit of the moduli space in which the K3 surface becomes an ALE space. This is a variant of the "geometric engineering" method used for vector multiplet moduli space and should be applicable to a wide range of examples. In particular we reproduce Sen and Witten's result for the heterotic string on an A1 singularity and a trivial bundle and generalize this to a collection of E8 point-like instantons on an ALE space.
| 8.66829
| 8.362208
| 10.367157
| 8.026177
| 8.517997
| 8.487993
| 8.61363
| 8.249806
| 8.630809
| 10.938446
| 7.945643
| 8.421732
| 8.76564
| 8.47545
| 8.28057
| 8.217916
| 8.455186
| 8.161199
| 8.356895
| 8.559358
| 8.333077
|
1809.04381
|
Cheng-Yang Lee
|
Cheng-Yang Lee
|
Fermionic degeneracy and non-local contributions in flag-dipole spinors
and mass dimension one fermions
|
8 pages. Published in EPJC
|
Eur. Phys. J. C (2021) 81:90
|
10.1140/epjc/s10052-021-08860-z
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct a mass dimension one fermionic field associated with flag-dipole
spinors. These spinors are related to Elko (flag-pole spinors) by a
one-parameter matrix transformation $\mathcal{Z}(z)$ where $z$ is a complex
number. The theory is non-local and non-covariant. While it is possible to
obtain a Lorentz-invariant theory via $\tau$-deformation, we choose to study
the effects of non-locality and non-covariance. Our motivation for doing so is
explained. We show that a fermionic field with $|z|\neq1$ and $|z|=1$ are
physically equivalent. But for fermionic fields with more than one value of
$z$, their interactions are $z$-dependent thus introducing an additional
fermionic degeneracy that is absent in the Lorentz-invariant theory. We study
the fermionic self-interaction and the local $U(1)$ interaction. In the
process, we obtained non-local contributions for fermionic self-interaction
that have previously been neglected. For the local $U(1)$ theory, the
interactions contain time derivatives that renders the interacting density
non-commutative at space-like separation. We show that this problem can be
resolved by working in the temporal gauge. This issue is also discussed in the
context of gravity.
|
[
{
"created": "Wed, 12 Sep 2018 12:34:06 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Feb 2021 07:18:20 GMT",
"version": "v2"
}
] |
2021-02-04
|
[
[
"Lee",
"Cheng-Yang",
""
]
] |
We construct a mass dimension one fermionic field associated with flag-dipole spinors. These spinors are related to Elko (flag-pole spinors) by a one-parameter matrix transformation $\mathcal{Z}(z)$ where $z$ is a complex number. The theory is non-local and non-covariant. While it is possible to obtain a Lorentz-invariant theory via $\tau$-deformation, we choose to study the effects of non-locality and non-covariance. Our motivation for doing so is explained. We show that a fermionic field with $|z|\neq1$ and $|z|=1$ are physically equivalent. But for fermionic fields with more than one value of $z$, their interactions are $z$-dependent thus introducing an additional fermionic degeneracy that is absent in the Lorentz-invariant theory. We study the fermionic self-interaction and the local $U(1)$ interaction. In the process, we obtained non-local contributions for fermionic self-interaction that have previously been neglected. For the local $U(1)$ theory, the interactions contain time derivatives that renders the interacting density non-commutative at space-like separation. We show that this problem can be resolved by working in the temporal gauge. This issue is also discussed in the context of gravity.
| 9.315918
| 9.246736
| 8.987795
| 8.750672
| 9.190902
| 8.729154
| 9.442706
| 8.554129
| 8.919771
| 10.189976
| 8.783481
| 8.797353
| 8.916614
| 8.710098
| 8.937029
| 8.945183
| 8.882082
| 9.075442
| 8.74422
| 8.855524
| 8.966245
|
1206.6127
|
Josua Groeger
|
Josua Groeger
|
Vertex Operators of Super Wilson Loops
|
11 pages
|
Phys. Rev. D 86, 105039 (2012)
|
10.1103/PhysRevD.86.105039
| null |
hep-th math.DG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the supersymmetric Wilson loop as introduced by Caron-Huot, which
attaches to lightlike polygons certain edge and vertex operators, whose shape
is determined by supersymmetry constraints. We state explicit formulas for the
vertex operators to all orders in the Gra{\ss}mann expansion, thus filling a
gap in the literature. This is achieved by deriving a recursion formula out of
the supersymmetry constraints.
|
[
{
"created": "Tue, 26 Jun 2012 21:37:38 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Jun 2012 19:16:54 GMT",
"version": "v2"
},
{
"created": "Mon, 5 Nov 2012 11:47:33 GMT",
"version": "v3"
}
] |
2013-01-24
|
[
[
"Groeger",
"Josua",
""
]
] |
We study the supersymmetric Wilson loop as introduced by Caron-Huot, which attaches to lightlike polygons certain edge and vertex operators, whose shape is determined by supersymmetry constraints. We state explicit formulas for the vertex operators to all orders in the Gra{\ss}mann expansion, thus filling a gap in the literature. This is achieved by deriving a recursion formula out of the supersymmetry constraints.
| 16.292788
| 13.884169
| 14.820557
| 13.93435
| 11.971533
| 14.565058
| 15.059291
| 12.67456
| 14.547972
| 16.381632
| 15.616103
| 13.77936
| 13.953229
| 13.246854
| 13.815924
| 14.334514
| 13.665725
| 13.710009
| 13.689676
| 13.502202
| 13.644543
|
hep-th/9302069
| null |
S. Pratik Khastgir and Jnanadeva Maharana
|
Topology changing processes and symmetries of string effective action
|
23 pages, IP/BBSR/93-8
|
Nucl.Phys. B406 (1993) 145-164
|
10.1016/0550-3213(93)90164-K
| null |
hep-th
| null |
Wormhole solutions corresponding to space-time geometries $R^1\times
S^1\times S^2$ and $R^1\times S^3$ are obtained from reduced string effective
action and the action is written in a manifestly $O(d,d)$ invariant form. A
general treatment is given for obtaining wormhole solutions of different
topologies from dimensional reduction. For specific ansatz of internal metric
and antisymmetric field the reduced action is shown to have a global $SL(2,C)$
symmetry. The $SL(2,C)$ and duality symmetries have been exploited to generate
new configurations of internal fields which produce wormhole solutions in four
space-time dimensions. The $SL(2,C)$ symmetry discussed in this paper arises
due to specific form of the moduli and these transformations belong to a
subgroup of $O(d,d)$ global symmetry.
|
[
{
"created": "Sun, 14 Feb 1993 22:08:23 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Khastgir",
"S. Pratik",
""
],
[
"Maharana",
"Jnanadeva",
""
]
] |
Wormhole solutions corresponding to space-time geometries $R^1\times S^1\times S^2$ and $R^1\times S^3$ are obtained from reduced string effective action and the action is written in a manifestly $O(d,d)$ invariant form. A general treatment is given for obtaining wormhole solutions of different topologies from dimensional reduction. For specific ansatz of internal metric and antisymmetric field the reduced action is shown to have a global $SL(2,C)$ symmetry. The $SL(2,C)$ and duality symmetries have been exploited to generate new configurations of internal fields which produce wormhole solutions in four space-time dimensions. The $SL(2,C)$ symmetry discussed in this paper arises due to specific form of the moduli and these transformations belong to a subgroup of $O(d,d)$ global symmetry.
| 7.460339
| 6.225727
| 7.631903
| 6.769428
| 7.599081
| 7.073629
| 7.134455
| 6.953064
| 6.713019
| 8.304342
| 6.558777
| 7.033011
| 7.205653
| 7.09613
| 7.316175
| 7.043608
| 6.819973
| 7.238531
| 6.928025
| 7.202667
| 6.945351
|
1005.3157
|
Nobuyuki Fukui
|
Nobuyuki Fukui, Kei-Ichi Kondo, Akihiro Shibata and Toru Shinohara
|
Jackiw-Nohl-Rebbi two-instanton as a source of magnetic monopole loop
|
11 pages, 3 figures
|
Phys.Rev.D82:045015,2010
|
10.1103/PhysRevD.82.045015
|
CHIBA-EP-183/KEK Preprint 2010-8
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We demonstrate that a Jackiw-Nohl-Rebbi solution as the most general
two-instanton generates a circular loop of magnetic monopole in
four-dimensional Euclidean SU(2) Yang-Mills theory, in contrast to the
one-instanton solution in the regular gauge for which no such magnetic monopole
loops exist. These results together with our previous result indicate that
two-instanton solution and two-meron solution with the same asymptotic behavior
in the long distance are responsible for quark confinement based on the dual
superconductivity picture.
|
[
{
"created": "Tue, 18 May 2010 11:01:21 GMT",
"version": "v1"
}
] |
2014-11-21
|
[
[
"Fukui",
"Nobuyuki",
""
],
[
"Kondo",
"Kei-Ichi",
""
],
[
"Shibata",
"Akihiro",
""
],
[
"Shinohara",
"Toru",
""
]
] |
We demonstrate that a Jackiw-Nohl-Rebbi solution as the most general two-instanton generates a circular loop of magnetic monopole in four-dimensional Euclidean SU(2) Yang-Mills theory, in contrast to the one-instanton solution in the regular gauge for which no such magnetic monopole loops exist. These results together with our previous result indicate that two-instanton solution and two-meron solution with the same asymptotic behavior in the long distance are responsible for quark confinement based on the dual superconductivity picture.
| 10.443979
| 8.755163
| 11.179586
| 8.943012
| 10.311801
| 8.566488
| 8.823034
| 9.059053
| 9.17903
| 12.152246
| 8.867347
| 9.791787
| 9.617002
| 9.594625
| 10.220319
| 9.686324
| 9.768285
| 10.11284
| 9.606571
| 10.417077
| 9.897067
|
hep-th/0312150
|
Leonid Slad
|
L.M. Slad
|
Mass Spectra in the Doubly Symmetric Theory of Infinite-Component Fields
|
14 pages, 4 figures, 1 table, LaTeX. V3 is a journal version with a
modified Introduction and with another translation into English language of
the title and the text
|
Theor.Math.Phys. 142 (2005) 15-28; Teor.Mat.Fiz. 142 (2005) 21-36
| null | null |
hep-th
| null |
We consider the problem of the characteristics of mass spectra in the doubly
symmetric theory of fields transforming under the proper Lorentz group
representations decomposable into an infinite direct sum of finite-dimensional
irreducible representations. We show that there exists a range of free
parameters of the theory where the mass spectra of fermions are quite
satisfactory from the physical standpoint and correspond to the picture
expected in the parton model of hadrons.
|
[
{
"created": "Sat, 13 Dec 2003 10:15:33 GMT",
"version": "v1"
},
{
"created": "Sat, 20 Dec 2003 10:27:34 GMT",
"version": "v2"
},
{
"created": "Tue, 15 Mar 2005 10:18:16 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Slad",
"L. M.",
""
]
] |
We consider the problem of the characteristics of mass spectra in the doubly symmetric theory of fields transforming under the proper Lorentz group representations decomposable into an infinite direct sum of finite-dimensional irreducible representations. We show that there exists a range of free parameters of the theory where the mass spectra of fermions are quite satisfactory from the physical standpoint and correspond to the picture expected in the parton model of hadrons.
| 15.066078
| 12.696875
| 15.740756
| 12.636126
| 12.033656
| 12.533845
| 14.288164
| 12.458169
| 11.720922
| 15.919629
| 12.767961
| 14.131414
| 13.551193
| 13.378816
| 14.193324
| 14.004491
| 14.340762
| 13.894527
| 13.80966
| 14.332179
| 13.755844
|
hep-th/9601047
|
Valerie Nowak
|
Stephen L. Adler
|
Projective Group Representations in Quaternionic Hilbert Space
|
16 pages, no figures, plain Tex
|
J.Math.Phys. 37 (1996) 2352-2360
|
10.1063/1.531514
|
IASSNS-HEP 96/02
|
hep-th
| null |
We extend the discussion of projective group representations in quaternionic
Hilbert space which was given in our recent book. The associativity condition
for quaternionic projective representations is formulated in terms of unitary
operators and then analyzed in terms of their generator structure. The
multi--centrality and centrality assumptions are also analyzed in generator
terms, and implications of this analysis are discussed.
|
[
{
"created": "Wed, 10 Jan 1996 20:42:40 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Adler",
"Stephen L.",
""
]
] |
We extend the discussion of projective group representations in quaternionic Hilbert space which was given in our recent book. The associativity condition for quaternionic projective representations is formulated in terms of unitary operators and then analyzed in terms of their generator structure. The multi--centrality and centrality assumptions are also analyzed in generator terms, and implications of this analysis are discussed.
| 17.801958
| 20.113913
| 17.730036
| 16.081268
| 20.105396
| 17.041595
| 17.527239
| 17.628378
| 16.188904
| 20.290289
| 17.311262
| 15.993289
| 17.499556
| 17.495842
| 16.974035
| 16.103544
| 16.709181
| 17.259638
| 17.034668
| 17.9191
| 16.263922
|
hep-th/9112018
|
Ayrton Zadra
|
L. Alvarez-Gaume, H. Itoyama, J.L. Manes and A. Zadra
|
Superloop Equations and Two Dimensional Supergravity
|
34 pages
|
Int.J.Mod.Phys. A7 (1992) 5337-5368
|
10.1142/S0217751X92002441
| null |
hep-th
| null |
We propose a discrete model whose continuum limit reproduces the string
susceptibility and the scaling dimensions of $(2,4m)$-minimal superconformal
models coupled to $2D$-supergravity. The basic assumption in our presentation
is a set of super-Virasoro constraints imposed on the partition function. We
recover the Neveu-Schwarz and Ramond sectors of the theory, and we are also
able to evaluate all planar loop correlation functions in the continuum limit.
We find evidence to identify the integrable hierarchy of non-linear equations
describing the double scaling limit as a supersymmetric generalization of KP
studied by Rabin.
|
[
{
"created": "Mon, 9 Dec 1991 17:18:03 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Alvarez-Gaume",
"L.",
""
],
[
"Itoyama",
"H.",
""
],
[
"Manes",
"J. L.",
""
],
[
"Zadra",
"A.",
""
]
] |
We propose a discrete model whose continuum limit reproduces the string susceptibility and the scaling dimensions of $(2,4m)$-minimal superconformal models coupled to $2D$-supergravity. The basic assumption in our presentation is a set of super-Virasoro constraints imposed on the partition function. We recover the Neveu-Schwarz and Ramond sectors of the theory, and we are also able to evaluate all planar loop correlation functions in the continuum limit. We find evidence to identify the integrable hierarchy of non-linear equations describing the double scaling limit as a supersymmetric generalization of KP studied by Rabin.
| 12.679541
| 11.230582
| 14.777583
| 11.480643
| 9.807102
| 10.894375
| 10.618315
| 11.609749
| 10.870561
| 19.082514
| 10.469085
| 11.91205
| 13.854155
| 11.970559
| 11.746758
| 11.123118
| 11.67597
| 12.090898
| 12.053563
| 14.150383
| 11.79583
|
1106.5141
|
Bin Chen
|
Bin Chen, Jiang Long and Jun-bao Wu
|
Spin-3 Topological Massive Gravity
|
19 pages. Arguments improved,references added, published version
|
Phys. Lett. B705(2011)513-520
|
10.1016/j.physletb.2011.10.044
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we study the spin-3 topological massive gravity(TMG), paying
special attention to its properties at the chiral point. We propose an action
describing the high spin fields coupled to TMG. We discuss the spin-3
fluctuations around the AdS$_3$ vacuum and find that there is an extra local
massive mode, besides the left-moving and right-moving boundary massless modes.
At the chiral point, such extra mode becomes massless and degenerates with the
left-moving mode. We show that at the chiral point the only degrees of freedom
in the theory are the boundary right-moving graviton and spin-3 field. We
conjecture that spin-3 chiral gravity with Brown-Henneaux boundary condition is
holographically dual to 2D chiral CFT with classical $W_3$ algebra and central
charge $c_R=3l/G$.
|
[
{
"created": "Sat, 25 Jun 2011 14:51:59 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Nov 2011 10:24:39 GMT",
"version": "v2"
}
] |
2020-04-29
|
[
[
"Chen",
"Bin",
""
],
[
"Long",
"Jiang",
""
],
[
"Wu",
"Jun-bao",
""
]
] |
In this paper, we study the spin-3 topological massive gravity(TMG), paying special attention to its properties at the chiral point. We propose an action describing the high spin fields coupled to TMG. We discuss the spin-3 fluctuations around the AdS$_3$ vacuum and find that there is an extra local massive mode, besides the left-moving and right-moving boundary massless modes. At the chiral point, such extra mode becomes massless and degenerates with the left-moving mode. We show that at the chiral point the only degrees of freedom in the theory are the boundary right-moving graviton and spin-3 field. We conjecture that spin-3 chiral gravity with Brown-Henneaux boundary condition is holographically dual to 2D chiral CFT with classical $W_3$ algebra and central charge $c_R=3l/G$.
| 5.213249
| 5.812346
| 5.649256
| 5.226414
| 5.233644
| 5.365499
| 5.560163
| 5.297189
| 5.050367
| 6.172978
| 5.061826
| 5.282362
| 5.290315
| 5.110023
| 5.04865
| 5.342742
| 4.918375
| 5.191529
| 5.068686
| 5.153903
| 5.078595
|
hep-th/0208041
|
Umut Gursoy
|
Umut Gursoy
|
Vector operators in the BMN correspondence
|
46 pages with 24 figures
|
JHEP 0307 (2003) 048
|
10.1088/1126-6708/2003/07/048
|
CTP-MIT-3296
|
hep-th
| null |
We consider a BMN operator with one scalar, phi, and one vector, D_{m}Z,
impurity field and compute the anomalous dimension both at planar and torus
levels. This "mixed" operator corresponds to a string state with two creation
operators which belong to different SO(4) sectors of the background. The
anomalous dimension at both levels is found to be the same as the scalar
impurity BMN operator. At planar level this constitutes a consistency check of
BMN conjecture. Agreement at the torus level can be explained by an argument
using supersymmetry and supression in the BMN limit. The same argument implies
that a class of fermionic BMN operators also have the same planar and torus
level anomalous dimensions. Implications of the results for the map from N=4
SYM theory to string theory in the pp-wave background are discussed.
|
[
{
"created": "Tue, 6 Aug 2002 06:09:27 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Gursoy",
"Umut",
""
]
] |
We consider a BMN operator with one scalar, phi, and one vector, D_{m}Z, impurity field and compute the anomalous dimension both at planar and torus levels. This "mixed" operator corresponds to a string state with two creation operators which belong to different SO(4) sectors of the background. The anomalous dimension at both levels is found to be the same as the scalar impurity BMN operator. At planar level this constitutes a consistency check of BMN conjecture. Agreement at the torus level can be explained by an argument using supersymmetry and supression in the BMN limit. The same argument implies that a class of fermionic BMN operators also have the same planar and torus level anomalous dimensions. Implications of the results for the map from N=4 SYM theory to string theory in the pp-wave background are discussed.
| 9.5492
| 8.836904
| 11.401419
| 8.49542
| 9.211294
| 8.801471
| 9.325149
| 8.494314
| 8.641852
| 10.41677
| 8.630925
| 9.006701
| 8.851124
| 8.522722
| 8.920873
| 8.930046
| 8.823211
| 8.714053
| 8.997291
| 9.41076
| 8.93706
|
1811.11470
|
Ali Mollabashi
|
M. Reza Mohammadi Mozaffar and Ali Mollabashi
|
Entanglement Evolution in Lifshitz-type Scalar Theories
|
28 pages, v2: a minor clarification, matches JHEP version
| null |
10.1007/JHEP01(2019)137
|
MPP-2018-282, IPM/P-2018/079
|
hep-th cond-mat.stat-mech cond-mat.str-el quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study propagation of entanglement after a mass quench in free scalar
Lifshitz theories. We show that entanglement entropy goes across three distinct
growth regimes before relaxing to a generalized Gibbs ensemble, namely 'initial
rapid growth', 'main linear growth' and 'tortoise saturation'. We show that
although a wide spectrum of quasi-particles are responsible for entanglement
propagation, as long as the occupation number of the zero mode is not
divergent, the linear main growth regime is dominated by the fastest
quasi-particle propagating on the edges of a widen light-cone. We present
strong evidences in support of effective causality and therefore define an
effective notion of saturation time in these theories. The larger the dynamical
exponent is, the shorter the linear main growth regime becomes. Due to a pile
of tortoise modes which become dominant after saturation of fast modes, exact
saturation time is postponed to infinity.
|
[
{
"created": "Wed, 28 Nov 2018 10:03:16 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Jan 2019 13:51:58 GMT",
"version": "v2"
}
] |
2019-02-20
|
[
[
"Mozaffar",
"M. Reza Mohammadi",
""
],
[
"Mollabashi",
"Ali",
""
]
] |
We study propagation of entanglement after a mass quench in free scalar Lifshitz theories. We show that entanglement entropy goes across three distinct growth regimes before relaxing to a generalized Gibbs ensemble, namely 'initial rapid growth', 'main linear growth' and 'tortoise saturation'. We show that although a wide spectrum of quasi-particles are responsible for entanglement propagation, as long as the occupation number of the zero mode is not divergent, the linear main growth regime is dominated by the fastest quasi-particle propagating on the edges of a widen light-cone. We present strong evidences in support of effective causality and therefore define an effective notion of saturation time in these theories. The larger the dynamical exponent is, the shorter the linear main growth regime becomes. Due to a pile of tortoise modes which become dominant after saturation of fast modes, exact saturation time is postponed to infinity.
| 15.846233
| 16.355625
| 17.966906
| 15.424251
| 18.584099
| 15.803083
| 16.45627
| 16.821135
| 15.290927
| 19.226679
| 15.088477
| 15.910089
| 16.425974
| 15.552624
| 15.431243
| 16.061474
| 16.007421
| 15.576083
| 15.36066
| 16.427416
| 15.121058
|
hep-th/9806083
|
Yukiko Umeno
|
Yukiko Umeno, Masahiro Shiroishi, Miki Wadati
|
Fermionic R-Operator for the Fermion Chain Model
|
12 pages, 4 figures
| null |
10.1143/JPSJ.67.1930
| null |
hep-th
| null |
The integrability of the one-dimensional (1D) fermion chain model is
investigated in the framework of the Quantum Inverse Scattering Method (QISM).
We introduce a new R-operator for the fermion chain model, which is expressed
in terms of the fermion operators. The R-operator satisfies a new type of the
Yang-Baxter relation with fermionic L-operator. We derive the fermionic
Sutherland equation from the relation, which is equivalent to the fermionic Lax
equation. It also provides a mathematical foundation of the boost operator
approach for the fermion model. In fact, we obtain some higher conserved
quantities of the fermion model using the boost operator.
|
[
{
"created": "Thu, 11 Jun 1998 07:16:36 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Umeno",
"Yukiko",
""
],
[
"Shiroishi",
"Masahiro",
""
],
[
"Wadati",
"Miki",
""
]
] |
The integrability of the one-dimensional (1D) fermion chain model is investigated in the framework of the Quantum Inverse Scattering Method (QISM). We introduce a new R-operator for the fermion chain model, which is expressed in terms of the fermion operators. The R-operator satisfies a new type of the Yang-Baxter relation with fermionic L-operator. We derive the fermionic Sutherland equation from the relation, which is equivalent to the fermionic Lax equation. It also provides a mathematical foundation of the boost operator approach for the fermion model. In fact, we obtain some higher conserved quantities of the fermion model using the boost operator.
| 7.018821
| 6.660682
| 7.575012
| 6.424534
| 7.219882
| 7.109636
| 6.897853
| 6.719495
| 6.834443
| 7.715031
| 6.672605
| 6.75096
| 7.015679
| 6.418953
| 6.561561
| 6.963242
| 6.740527
| 6.639482
| 6.772156
| 7.367269
| 6.64572
|
hep-th/9403070
|
Brian Dolan
|
Brian Dolan
|
Co-Variant Derivatives And The Renormalisation Group
|
25 pages PlainTeX, (bdolan@thphys.may.ie)
|
Int.J.Mod.Phys. A10 (1995) 2439-2466
|
10.1142/S0217751X95001170
|
DIAS-STP-94-05
|
hep-th cond-mat
| null |
The renormalisation group equation for $N$-point correlation functions can be
interpreted in a geometrical manner as an equation for Lie transport of
amplitudes in the space of couplings. The vector field generating the
diffeomorphism has components given by the $\beta$-functions of the theory. It
is argued that this simple picture requires modification whenever any one of
the points at which the amplitude is evaluated becomes close to any other. This
modification requires the introduction of a connection on the space of
couplings and new terms appear in the renormalisation group equation involving
co-variant derivatives of the $\beta$-function and the curvature associated
with the connection. It is shown how the connection is related to the operator
expansion co-efficients, but there remains an arbitrariness in its definition.
|
[
{
"created": "Fri, 11 Mar 1994 18:19:37 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Dolan",
"Brian",
""
]
] |
The renormalisation group equation for $N$-point correlation functions can be interpreted in a geometrical manner as an equation for Lie transport of amplitudes in the space of couplings. The vector field generating the diffeomorphism has components given by the $\beta$-functions of the theory. It is argued that this simple picture requires modification whenever any one of the points at which the amplitude is evaluated becomes close to any other. This modification requires the introduction of a connection on the space of couplings and new terms appear in the renormalisation group equation involving co-variant derivatives of the $\beta$-function and the curvature associated with the connection. It is shown how the connection is related to the operator expansion co-efficients, but there remains an arbitrariness in its definition.
| 6.28526
| 6.793379
| 7.080008
| 6.543923
| 6.475609
| 6.816706
| 6.661754
| 6.388054
| 6.51666
| 7.642544
| 6.653473
| 6.320423
| 6.649706
| 6.399669
| 6.634952
| 6.294878
| 6.318719
| 6.417043
| 6.526808
| 6.277815
| 6.307946
|
hep-th/0601020
|
El Hassan Saidi
|
El Hassan Saidi
|
Topological SL(2) Gauge Theory on Conifold
|
42 pages
| null | null | null |
hep-th
| null |
Using a two component $SL(2) $ isospinor formalism, we study the link between
conifold $T^{\ast}\mathbb{S}^{3}$ and q-deformed non commutative holomorphic
geometry in complex four dimensions. Then, thinking about conifold as a
projective complex three dimension hypersurface embedded in non compact
$WP^{5}(1,-1,1,-1,1,-1) $ space and using conifold local isometries, we study
topological $SL(2) $ gauge theory on $T^{\ast}\mathbb{S}^{3}$ and its
reductions to lower dimension sub-manifolds $T^{\ast}\mathbb{S}^{2}$,
$T^{\ast}\mathbb{S}^{1}$ and their real slices. Projective symmetry is also
used to build a supersymmetric QFT$%_{4}$ realization of these backgrounds.
Extensions for higher dimensions with conifold like properties are explored.
\bigskip \textbf{Key words}: Conifold, q-deformation, non commutative complex
geometry, topological gauge theory. Nambu like background.
|
[
{
"created": "Wed, 4 Jan 2006 07:40:55 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Saidi",
"El Hassan",
""
]
] |
Using a two component $SL(2) $ isospinor formalism, we study the link between conifold $T^{\ast}\mathbb{S}^{3}$ and q-deformed non commutative holomorphic geometry in complex four dimensions. Then, thinking about conifold as a projective complex three dimension hypersurface embedded in non compact $WP^{5}(1,-1,1,-1,1,-1) $ space and using conifold local isometries, we study topological $SL(2) $ gauge theory on $T^{\ast}\mathbb{S}^{3}$ and its reductions to lower dimension sub-manifolds $T^{\ast}\mathbb{S}^{2}$, $T^{\ast}\mathbb{S}^{1}$ and their real slices. Projective symmetry is also used to build a supersymmetric QFT$%_{4}$ realization of these backgrounds. Extensions for higher dimensions with conifold like properties are explored. \bigskip \textbf{Key words}: Conifold, q-deformation, non commutative complex geometry, topological gauge theory. Nambu like background.
| 9.717535
| 8.814673
| 10.045877
| 8.749371
| 9.700686
| 9.693748
| 9.098965
| 8.954153
| 8.66927
| 10.298253
| 8.921002
| 9.197706
| 9.491603
| 8.986411
| 9.162081
| 9.291713
| 9.247201
| 8.976781
| 8.772732
| 9.610885
| 9.04824
|
2309.15307
|
Yu Nakayama
|
Yu Nakayama
|
Functional renormalization group approach to dipolar fixed point which
is scale-invariant but non-conformal
|
15 pages
| null | null |
YITP-23-119
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A dipolar fixed point introduced by Aharony and Fisher is a physical example
of interacting scale-invariant but non-conformal field theories. We find that
the perturbative critical exponents computed in $\epsilon$ expansions violate
the conformal bootstrap bound. We formulate the functional renormalization
group equations a la Wetterich and Polchinski to study the fixed point. We
present some results in three dimensions within (uncontrolled) local potential
approximations (with or without perturbative anomalous dimensions).
|
[
{
"created": "Tue, 26 Sep 2023 23:38:17 GMT",
"version": "v1"
}
] |
2023-09-28
|
[
[
"Nakayama",
"Yu",
""
]
] |
A dipolar fixed point introduced by Aharony and Fisher is a physical example of interacting scale-invariant but non-conformal field theories. We find that the perturbative critical exponents computed in $\epsilon$ expansions violate the conformal bootstrap bound. We formulate the functional renormalization group equations a la Wetterich and Polchinski to study the fixed point. We present some results in three dimensions within (uncontrolled) local potential approximations (with or without perturbative anomalous dimensions).
| 14.300718
| 14.53677
| 15.524402
| 14.358548
| 13.032851
| 13.703283
| 15.338113
| 12.946215
| 12.837301
| 15.238981
| 12.666401
| 13.232366
| 14.392477
| 13.427241
| 13.029287
| 13.1471
| 13.540146
| 12.520787
| 13.725018
| 14.232975
| 12.399003
|
hep-th/9310111
|
Nicola Maggiore
|
Nicola Maggiore and Martin Schaden
|
Landau gauge within the Gribov horizon
|
17 pages, NYU-TH-93/10/05
|
Phys.Rev. D50 (1994) 6616-6625
|
10.1103/PhysRevD.50.6616
| null |
hep-th
| null |
We consider a model which effectively restricts the functional integral of
Yang--Mills theories to the fundamental modular region. Using algebraic
arguments, we prove that this theory has the same divergences as ordinary Yang
Mills theory in the Landau gauge and that it is unitary. The restriction of the
functional integral is interpreted as a kind of spontaneous breakdown of the
$BRS$ symmetry.
|
[
{
"created": "Mon, 18 Oct 1993 16:07:06 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Maggiore",
"Nicola",
""
],
[
"Schaden",
"Martin",
""
]
] |
We consider a model which effectively restricts the functional integral of Yang--Mills theories to the fundamental modular region. Using algebraic arguments, we prove that this theory has the same divergences as ordinary Yang Mills theory in the Landau gauge and that it is unitary. The restriction of the functional integral is interpreted as a kind of spontaneous breakdown of the $BRS$ symmetry.
| 11.12559
| 8.684434
| 10.655638
| 8.496984
| 9.14932
| 8.80901
| 8.353687
| 8.136692
| 8.255148
| 11.0504
| 8.575458
| 9.108164
| 9.46181
| 9.536717
| 9.52007
| 9.740462
| 9.659698
| 9.838902
| 9.132421
| 9.901337
| 9.430429
|
2304.00589
|
Leonard Susskind
|
Leonard Susskind
|
A Paradox and its Resolution Illustrate Principles of de Sitter
Holography
| null | null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
Semiclassical gravity and the holographic description of the static patch of
de Sitter space appear to disagree about properties of correlation functions.
Certain holographic correlation functions are necessarily real whereas their
semiclassical counterparts have both real and imaginary parts. The resolution
of this apparent contradiction involves the fact that time-reversal is a gauge
symmetry in de Sitter space -- a point made by Harlow and Ooguri -- and the
need for an observer (or quantum reference frame) as advocated by
Chandrasekaran, Longo, Penington, and Witten.
|
[
{
"created": "Sun, 2 Apr 2023 18:10:05 GMT",
"version": "v1"
}
] |
2023-04-04
|
[
[
"Susskind",
"Leonard",
""
]
] |
Semiclassical gravity and the holographic description of the static patch of de Sitter space appear to disagree about properties of correlation functions. Certain holographic correlation functions are necessarily real whereas their semiclassical counterparts have both real and imaginary parts. The resolution of this apparent contradiction involves the fact that time-reversal is a gauge symmetry in de Sitter space -- a point made by Harlow and Ooguri -- and the need for an observer (or quantum reference frame) as advocated by Chandrasekaran, Longo, Penington, and Witten.
| 11.720154
| 8.856774
| 11.452381
| 8.028727
| 8.319699
| 9.610867
| 8.486128
| 8.272018
| 8.625516
| 13.604906
| 9.67146
| 9.42154
| 10.34605
| 9.93985
| 9.665495
| 9.737977
| 9.16141
| 9.614513
| 9.50374
| 10.044984
| 9.480127
|
hep-th/9503017
|
Sung-Kil Yang
|
T. Eguchi, K. Hori and S.-K. Yang
|
Topological $\sigma$-Models and Large-$N$ Matrix Integral
|
25 pages, phyzzx, no figures
|
Int.J.Mod.Phys. A10 (1995) 4203
|
10.1016/0920-5632(95)00632-X
|
UT-700
|
hep-th
| null |
In this paper we describe in some detail the representation of the
topological $CP^1$ model in terms of a matrix integral which we have introduced
in a previous article. We first discuss the integrable structure of the $CP^1$
model and show that it is governed by an extension of the 1-dimensional Toda
hierarchy. We then introduce a matrix model which reproduces the sum over
holomorphic maps from arbitrary Riemann surfaces onto $CP^1$. We compute
intersection numbers on the moduli space of curves using geometrical method and
show that the results agree with those predicted by the matrix model. We also
develop a Landau-Ginzburg (LG) description of the $CP^1$ model using a
superpotential $e^X+e^{t_{0,Q}}e^{-X}$ given by the Lax operator of the Toda
hierarchy ($X$ is the LG field and $t_{0,Q}$ is the coupling constant of the
K\"ahler class). The form of the superpotential indicates the close connection
between $CP^1$ and $N=2$ supersymmetric sine-Gordon theory which was noted some
time ago by several authors. We also discuss possible generalizations of our
construction to other manifolds and present a LG formulation of the topological
$CP^2$ model.
|
[
{
"created": "Fri, 3 Mar 1995 06:45:26 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Eguchi",
"T.",
""
],
[
"Hori",
"K.",
""
],
[
"Yang",
"S. -K.",
""
]
] |
In this paper we describe in some detail the representation of the topological $CP^1$ model in terms of a matrix integral which we have introduced in a previous article. We first discuss the integrable structure of the $CP^1$ model and show that it is governed by an extension of the 1-dimensional Toda hierarchy. We then introduce a matrix model which reproduces the sum over holomorphic maps from arbitrary Riemann surfaces onto $CP^1$. We compute intersection numbers on the moduli space of curves using geometrical method and show that the results agree with those predicted by the matrix model. We also develop a Landau-Ginzburg (LG) description of the $CP^1$ model using a superpotential $e^X+e^{t_{0,Q}}e^{-X}$ given by the Lax operator of the Toda hierarchy ($X$ is the LG field and $t_{0,Q}$ is the coupling constant of the K\"ahler class). The form of the superpotential indicates the close connection between $CP^1$ and $N=2$ supersymmetric sine-Gordon theory which was noted some time ago by several authors. We also discuss possible generalizations of our construction to other manifolds and present a LG formulation of the topological $CP^2$ model.
| 5.772377
| 5.61502
| 6.617069
| 5.549101
| 5.629572
| 5.760571
| 5.556291
| 5.843258
| 5.693067
| 6.690567
| 5.435392
| 5.569833
| 5.998507
| 5.437635
| 5.713521
| 5.509962
| 5.559373
| 5.459759
| 5.560356
| 5.824807
| 5.624903
|
0903.4827
|
Eric R. Bittner
|
Eric R. Bittner and Jeremy B. Maddox and Donald J. Kouri
|
A Supersymmetric Approach to Excited States via Quantum Monte Carlo
| null | null | null | null |
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present here a supersymmetric (SUSY) approach for determining excitation
energies within the context of a quantum Monte Carlo scheme. By using the fact
that SUSY quantum mechanics gives rises to a series of isospectral
Hamiltonians, we show that Monte Carlo ground-state calculations in the SUSY
partners can be used to reconstruct accurately both the spectrum and states of
an arbitrary Schr\"odinger equation. Since the ground-state of each partner
potential is node-less, we avoid any ``node''-problem typically associated with
the Monte Carlo technique. While we provide an example of using this approach
to determine the tunneling states in a double-well potential, the method is
applicable to any 1D potential problem. We conclude by discussing the extension
to higher dimensions.
|
[
{
"created": "Fri, 27 Mar 2009 15:32:23 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Mar 2009 17:36:56 GMT",
"version": "v2"
},
{
"created": "Thu, 18 Jun 2009 18:49:26 GMT",
"version": "v3"
}
] |
2009-06-18
|
[
[
"Bittner",
"Eric R.",
""
],
[
"Maddox",
"Jeremy B.",
""
],
[
"Kouri",
"Donald J.",
""
]
] |
We present here a supersymmetric (SUSY) approach for determining excitation energies within the context of a quantum Monte Carlo scheme. By using the fact that SUSY quantum mechanics gives rises to a series of isospectral Hamiltonians, we show that Monte Carlo ground-state calculations in the SUSY partners can be used to reconstruct accurately both the spectrum and states of an arbitrary Schr\"odinger equation. Since the ground-state of each partner potential is node-less, we avoid any ``node''-problem typically associated with the Monte Carlo technique. While we provide an example of using this approach to determine the tunneling states in a double-well potential, the method is applicable to any 1D potential problem. We conclude by discussing the extension to higher dimensions.
| 10.075515
| 10.475718
| 10.420249
| 9.990721
| 10.22215
| 11.140175
| 10.839042
| 9.510565
| 9.720872
| 10.669635
| 9.614375
| 9.989496
| 10.5831
| 10.156491
| 9.86746
| 10.363279
| 10.078833
| 9.912351
| 9.988986
| 10.354018
| 9.903375
|
hep-th/0003212
|
J. M. Maillard
|
S. Boukraa, J-M.Maillard
|
Let's Baxterise
|
38 pages, no figure
| null |
10.1023/A:1004842717830
| null |
hep-th
| null |
We recall the concept of Baxterisation of an R-matrix, or of a monodromy
matrix, which corresponds to build, from one point in the $ R$-matrix parameter
space, the algebraic variety where the spectral parameter(s) live. We show that
the Baxterisation, which amounts to studying the iteration of a birational
transformation, is a ``win-win'' strategy: it enables to discard efficiently
the non-integrable situations, focusing directly on the two interesting cases
where the algebraic varieties are of the so-called ``general type'' (finite
order iteration) or are Abelian varieties (infinite order iteration). We
emphasize the heuristic example of the sixteen vertex model and provide a
complete description of the finite order iterations situations for the Baxter
model. We show that the Baxterisation procedure can be introduced in much
larger frameworks where the existence of some underlying Yang-Baxter structure
is not used: we Baxterise L-operators, local quantum Lax matrices, and quantum
Hamiltonians.
|
[
{
"created": "Thu, 23 Mar 2000 17:20:32 GMT",
"version": "v1"
}
] |
2015-06-25
|
[
[
"Boukraa",
"S.",
""
],
[
"Maillard",
"J-M.",
""
]
] |
We recall the concept of Baxterisation of an R-matrix, or of a monodromy matrix, which corresponds to build, from one point in the $ R$-matrix parameter space, the algebraic variety where the spectral parameter(s) live. We show that the Baxterisation, which amounts to studying the iteration of a birational transformation, is a ``win-win'' strategy: it enables to discard efficiently the non-integrable situations, focusing directly on the two interesting cases where the algebraic varieties are of the so-called ``general type'' (finite order iteration) or are Abelian varieties (infinite order iteration). We emphasize the heuristic example of the sixteen vertex model and provide a complete description of the finite order iterations situations for the Baxter model. We show that the Baxterisation procedure can be introduced in much larger frameworks where the existence of some underlying Yang-Baxter structure is not used: we Baxterise L-operators, local quantum Lax matrices, and quantum Hamiltonians.
| 16.952019
| 17.82457
| 22.530577
| 17.155123
| 18.978508
| 20.821655
| 19.055513
| 17.832603
| 19.240059
| 21.20068
| 17.587458
| 16.790787
| 18.137112
| 17.10807
| 17.23119
| 17.340908
| 17.253666
| 17.063742
| 16.850389
| 17.672567
| 16.719801
|
hep-th/0507029
|
Kentaroh Yoshida
|
Hyeonjoon Shin, Kentaroh Yoshida
|
Thermodynamic Behavior of Fuzzy Membranes in PP-Wave Matrix Model
|
13 pages, 4 figures, LaTeX
|
Phys.Lett. B627 (2005) 188-196
|
10.1016/j.physletb.2005.09.007
|
KEK-TH-1021
|
hep-th
| null |
We discuss a two-body interaction of membrane fuzzy spheres in a pp-wave
matrix model at finite temperature by considering a fuzzy sphere rotates with a
constant radius r around the other one sitting at the origin in the SO(6)
symmetric space. This system of two fuzzy spheres is supersymmetric at zero
temperature and there is no interaction between them. Once the system is
coupled to the heat bath, supersymmetries are completely broken and non-trivial
interaction appears. We numerically show that the potential between fuzzy
spheres is attractive and so the rotating fuzzy sphere tends to fall into the
origin. The analytic formula of the free energy is also evaluated in the large
N limit. It is well approximated by a polylog-function.
|
[
{
"created": "Mon, 4 Jul 2005 00:38:12 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Shin",
"Hyeonjoon",
""
],
[
"Yoshida",
"Kentaroh",
""
]
] |
We discuss a two-body interaction of membrane fuzzy spheres in a pp-wave matrix model at finite temperature by considering a fuzzy sphere rotates with a constant radius r around the other one sitting at the origin in the SO(6) symmetric space. This system of two fuzzy spheres is supersymmetric at zero temperature and there is no interaction between them. Once the system is coupled to the heat bath, supersymmetries are completely broken and non-trivial interaction appears. We numerically show that the potential between fuzzy spheres is attractive and so the rotating fuzzy sphere tends to fall into the origin. The analytic formula of the free energy is also evaluated in the large N limit. It is well approximated by a polylog-function.
| 10.553782
| 10.899773
| 12.501911
| 10.438695
| 10.751962
| 11.130793
| 10.315248
| 10.03127
| 10.391335
| 12.534999
| 9.775652
| 10.519897
| 11.152514
| 10.320207
| 10.43386
| 10.287612
| 10.213567
| 10.237488
| 10.655508
| 10.681053
| 10.077268
|
1310.6357
|
Dario Rosa
|
Dario Rosa
|
Generalized geometry of two-dimensional vacua
|
31 pages, 1 figure. v2: minor corrections, references added
| null |
10.1007/JHEP07(2014)111
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive the conditions for unbroken supersymmetry for a Mink_2, (2,0)
vacuum, arising from Type II supergravity on a compact eight-dimensional
manifold M_8. When specialized to internal manifolds enjoying SU(4)xSU(4)
structure the resulting system is elegantly rewritten in terms of generalized
complex geometry. This particular class of vacua violates the correspondence
between supersymmetry conditions and calibrations conditions of D branes
(supersymmetry-calibrations correspondence). Our analysis includes and extends
previous results about the failure of the supersymmetry-calibrations
correspondence, and confirms the existence of a precise relation between such a
failure and a subset of the supersymmetry conditions.
|
[
{
"created": "Wed, 23 Oct 2013 20:00:02 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Dec 2014 11:28:58 GMT",
"version": "v2"
}
] |
2015-06-17
|
[
[
"Rosa",
"Dario",
""
]
] |
We derive the conditions for unbroken supersymmetry for a Mink_2, (2,0) vacuum, arising from Type II supergravity on a compact eight-dimensional manifold M_8. When specialized to internal manifolds enjoying SU(4)xSU(4) structure the resulting system is elegantly rewritten in terms of generalized complex geometry. This particular class of vacua violates the correspondence between supersymmetry conditions and calibrations conditions of D branes (supersymmetry-calibrations correspondence). Our analysis includes and extends previous results about the failure of the supersymmetry-calibrations correspondence, and confirms the existence of a precise relation between such a failure and a subset of the supersymmetry conditions.
| 13.213635
| 13.057325
| 15.056422
| 11.809993
| 13.123574
| 11.394876
| 13.224751
| 11.899566
| 11.952003
| 13.6526
| 11.58732
| 11.906252
| 13.338529
| 11.91142
| 11.997844
| 11.668735
| 11.998933
| 12.163945
| 11.477748
| 13.096431
| 11.793895
|
hep-th/0611227
|
Maurizio Gasperini
|
M. Gasperini
|
A new scale in the sky
|
6 pages, 2 figures included with epsfig. Essay written for the 2006
Awards for Essays on Gravitation (Gravity Research Foundation), and awarded
with "Honorable Mention". To appear in Int. J Mod. Phys. D (December 2006,
Special Issue)
|
Int.J.Mod.Phys.D15:2147-2152,2006
|
10.1142/S0218271806009480
|
CERN-PH-TH/2006-031
|
hep-th
| null |
The existence of a new ultraviolet scale $\Lambda=g M_P$ for effective
theories with gravity and U(1) gauge fields has recently been conjectured as a
possible criterion for distinguishing parts of the swampland from the string
landscape. Here we discuss a possible phenomenological signature of this scale,
for electromagnetic fields, in astrophysical observations.
|
[
{
"created": "Tue, 21 Nov 2006 18:57:44 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Gasperini",
"M.",
""
]
] |
The existence of a new ultraviolet scale $\Lambda=g M_P$ for effective theories with gravity and U(1) gauge fields has recently been conjectured as a possible criterion for distinguishing parts of the swampland from the string landscape. Here we discuss a possible phenomenological signature of this scale, for electromagnetic fields, in astrophysical observations.
| 15.658853
| 12.878729
| 13.141105
| 12.381801
| 12.843825
| 12.929652
| 12.51236
| 11.253721
| 12.09594
| 13.561604
| 11.624861
| 12.282912
| 12.892
| 12.68963
| 12.045985
| 11.386057
| 12.567653
| 11.96222
| 12.648077
| 13.543665
| 11.959765
|
hep-th/9606012
|
Hitoshi Konno
|
Hitoshi Konno
|
Dynamical Correlation Functions and Finite-size Scaling in
Ruijsenaars-Schneider Model
|
27 pages, PS file, to be published in Nucl.Phys.B
|
Nucl.Phys. B473 (1996) 579-600
|
10.1016/0550-3213(96)00208-8
|
YITP-96-4
|
hep-th
| null |
The trigonometric Ruijsenaars-Schneider model is diagonalized by means of the
Macdonald symmetric functions. We evaluate the dynamical density-density
correlation function and the one-particle retarded Green function as well as
their thermodynamic limit. Based on these results and finite-size scaling
analysis, we show that the low-energy behavior of the model is described by the
$C=1$ Gaussian conformal field theory under a new fractional selection rule for
the quantum numbers labeling the critical exponents.
|
[
{
"created": "Tue, 4 Jun 1996 08:33:27 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Konno",
"Hitoshi",
""
]
] |
The trigonometric Ruijsenaars-Schneider model is diagonalized by means of the Macdonald symmetric functions. We evaluate the dynamical density-density correlation function and the one-particle retarded Green function as well as their thermodynamic limit. Based on these results and finite-size scaling analysis, we show that the low-energy behavior of the model is described by the $C=1$ Gaussian conformal field theory under a new fractional selection rule for the quantum numbers labeling the critical exponents.
| 10.609994
| 8.936832
| 11.099811
| 9.028388
| 10.171215
| 10.653676
| 9.5767
| 9.234207
| 8.452293
| 11.338498
| 9.022494
| 9.341119
| 9.717934
| 9.202573
| 9.063228
| 9.084502
| 9.127841
| 9.094091
| 8.670944
| 9.706344
| 9.21927
|
2407.17384
|
Benjamin J. Stone Mr
|
Benjamin J. Stone
|
Correlation functions of conserved currents in (super)conformal field
theory
|
PhD Thesis, 207 pages. Based on arXiv:2102.04827, arXiv:2108.01865,
arXiv:2204.04899, arXiv:2210.13135, arXiv:2302.00593, arXiv:2305.02233 and
arXiv:2307.11435
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This thesis is dedicated to analysing the general structure of two- and
three-point correlation functions of conserved currents of arbitrary integer or
half-integer spins in three- and four-dimensional (super)conformal field
theory.
|
[
{
"created": "Wed, 24 Jul 2024 16:07:45 GMT",
"version": "v1"
}
] |
2024-07-25
|
[
[
"Stone",
"Benjamin J.",
""
]
] |
This thesis is dedicated to analysing the general structure of two- and three-point correlation functions of conserved currents of arbitrary integer or half-integer spins in three- and four-dimensional (super)conformal field theory.
| 8.334977
| 4.918145
| 7.276535
| 5.521537
| 6.222276
| 6.310571
| 5.884369
| 5.340329
| 5.605474
| 8.133727
| 5.455665
| 6.725202
| 7.848471
| 6.694683
| 6.46403
| 6.632364
| 6.597277
| 6.666511
| 6.848262
| 7.760881
| 6.57483
|
1802.05638
|
Roldao da Rocha
|
D. M. Dantas, R. da Rocha, C. A. S. Almeida
|
Monopoles on string-like models and the Coulomb's law
|
14 pages, 7 figures
| null |
10.1016/j.physletb.2018.05.003
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The t'Hooft-Polyakov monopole mass can be substantially altered, in the thick
GS and HC brane-world setup, and can be employed to constrain the brane
thickness limit. In this work, we comprise a brief review regarding gauge
fields localization in the string-like six dimensional brane-world models
setup. The correction to the Coulomb's law in two models is studied. Besides,
the monopole features are investigated from the point of view of the gauge
fields localization in the string-like brane-worlds and its thickness.
|
[
{
"created": "Thu, 15 Feb 2018 16:24:47 GMT",
"version": "v1"
}
] |
2018-08-01
|
[
[
"Dantas",
"D. M.",
""
],
[
"da Rocha",
"R.",
""
],
[
"Almeida",
"C. A. S.",
""
]
] |
The t'Hooft-Polyakov monopole mass can be substantially altered, in the thick GS and HC brane-world setup, and can be employed to constrain the brane thickness limit. In this work, we comprise a brief review regarding gauge fields localization in the string-like six dimensional brane-world models setup. The correction to the Coulomb's law in two models is studied. Besides, the monopole features are investigated from the point of view of the gauge fields localization in the string-like brane-worlds and its thickness.
| 22.847843
| 19.855358
| 21.556385
| 20.081421
| 20.144539
| 21.731707
| 20.510033
| 18.292864
| 19.653723
| 23.901424
| 19.769199
| 21.274815
| 20.587488
| 20.313105
| 20.143814
| 21.006407
| 20.648521
| 20.265795
| 20.762318
| 20.5935
| 20.227285
|
hep-th/0112085
|
Sei-Hoon Moon
|
Sei-Hoon Moon
|
Global Black Branes (Extended Global Defects Surrounded by Horizons),
Brane Worlds and the Cosmological Constant
|
33 pages, 5 figures
|
Nucl.Phys. B624 (2002) 327-359
|
10.1016/S0550-3213(01)00657-5
| null |
hep-th gr-qc
| null |
We study global defects coupled to higher-dimensional gravity with a negative
cosmological constant. This paper is mainly devoted to studying global black
brane solutions which are extended global defects surrounded by horizons. We
find series solutions in a few separated regions and confirm numerically that
they can be mutually connected. When the world volume of the brane is
Ricci-flat, the brane is surrounded by a degenerated horizon, while it is
surrounded by two horizons when the world volume has a positive constant
curvature. Each solution corresponds to an extremal and a non-extremal state,
respectively. Their causal structures resemble those of the
Reissner-Nordstr\"{o}m black holes in anti-de Sitter spacetime. However, the
non-extremal black brane is not a static object, but an inflating brane. In
addition, we briefly discuss a brane world model in the context of the global
black branes. We comment on a few thermodynamic properties of the global black
branes, and discuss a decrease of the cosmological constant on the brane world
through the thermodynamic instability of the non-extremal global black brane.
|
[
{
"created": "Tue, 11 Dec 2001 11:06:43 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Moon",
"Sei-Hoon",
""
]
] |
We study global defects coupled to higher-dimensional gravity with a negative cosmological constant. This paper is mainly devoted to studying global black brane solutions which are extended global defects surrounded by horizons. We find series solutions in a few separated regions and confirm numerically that they can be mutually connected. When the world volume of the brane is Ricci-flat, the brane is surrounded by a degenerated horizon, while it is surrounded by two horizons when the world volume has a positive constant curvature. Each solution corresponds to an extremal and a non-extremal state, respectively. Their causal structures resemble those of the Reissner-Nordstr\"{o}m black holes in anti-de Sitter spacetime. However, the non-extremal black brane is not a static object, but an inflating brane. In addition, we briefly discuss a brane world model in the context of the global black branes. We comment on a few thermodynamic properties of the global black branes, and discuss a decrease of the cosmological constant on the brane world through the thermodynamic instability of the non-extremal global black brane.
| 7.412889
| 7.346933
| 7.082351
| 6.978243
| 7.077424
| 7.594144
| 7.065432
| 6.943998
| 6.887367
| 7.259976
| 7.169014
| 7.038396
| 7.139529
| 7.031669
| 6.825432
| 6.911337
| 6.955426
| 6.962893
| 6.912504
| 7.258339
| 6.90967
|
1910.11852
|
Sebastian Mizera
|
Sebastian Mizera, Andrzej Pokraka
|
From Infinity to Four Dimensions: Higher Residue Pairings and Feynman
Integrals
|
41 pages, reference added
|
JHEP 2002 (2020) 159
|
10.1007/JHEP02(2020)159
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study a surprising phenomenon in which Feynman integrals in
$D=4-2\varepsilon$ space-time dimensions as $\varepsilon \to 0$ can be fully
characterized by their behavior in the opposite limit, $\varepsilon \to
\infty$. More concretely, we consider vector bundles of Feynman integrals over
kinematic spaces, whose connections have a polynomial dependence on
$\varepsilon$ and are known to be governed by intersection numbers of twisted
forms. They give rise to differential equations that can be obtained exactly as
a truncating expansion in either $\varepsilon$ or $1/\varepsilon$. We use the
latter for explicit computations, which are performed by expanding intersection
numbers in terms of Saito's higher residue pairings (previously used in the
context of topological Landau-Ginzburg models and mirror symmetry). These
pairings localize on critical points of a certain Morse function, which
correspond to regions in the loop-momentum space that were previously thought
to govern only the large-$D$ physics. The results of this work leverage recent
understanding of an analogous situation for moduli spaces of curves, where the
$\alpha' \to 0$ and $\alpha' \to \infty$ limits of intersection numbers
coincide for scattering amplitudes of massless quantum field theories.
|
[
{
"created": "Fri, 25 Oct 2019 17:18:21 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Nov 2020 03:51:05 GMT",
"version": "v2"
}
] |
2020-11-03
|
[
[
"Mizera",
"Sebastian",
""
],
[
"Pokraka",
"Andrzej",
""
]
] |
We study a surprising phenomenon in which Feynman integrals in $D=4-2\varepsilon$ space-time dimensions as $\varepsilon \to 0$ can be fully characterized by their behavior in the opposite limit, $\varepsilon \to \infty$. More concretely, we consider vector bundles of Feynman integrals over kinematic spaces, whose connections have a polynomial dependence on $\varepsilon$ and are known to be governed by intersection numbers of twisted forms. They give rise to differential equations that can be obtained exactly as a truncating expansion in either $\varepsilon$ or $1/\varepsilon$. We use the latter for explicit computations, which are performed by expanding intersection numbers in terms of Saito's higher residue pairings (previously used in the context of topological Landau-Ginzburg models and mirror symmetry). These pairings localize on critical points of a certain Morse function, which correspond to regions in the loop-momentum space that were previously thought to govern only the large-$D$ physics. The results of this work leverage recent understanding of an analogous situation for moduli spaces of curves, where the $\alpha' \to 0$ and $\alpha' \to \infty$ limits of intersection numbers coincide for scattering amplitudes of massless quantum field theories.
| 8.032088
| 8.216773
| 8.725552
| 7.778042
| 8.522161
| 8.697209
| 8.782351
| 7.656967
| 7.957972
| 9.475813
| 8.139124
| 8.208334
| 8.131571
| 7.92767
| 7.989315
| 7.928482
| 7.961908
| 7.82093
| 7.944592
| 8.255555
| 7.828915
|
2209.15020
|
Maximilian Koegler
|
Maximilian Koegler, Marc Schneider
|
Vacuum Induced Ground-State Instabilities
|
11 pages, 2 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use the hydrogen atom's bound state electron as a probe and investigate
the consequences inflicted by time-resolved vacuum effects. Explicitly, we
derive a closed form for the time-dependent modification of the Maxwell
equations emanating from vacuum fluctuations in quantum electrodynamics. As a
consequence, we find a non-vanishing probability that the corresponding
hydrogen ground state can be excited through interactions with fermionic
currents that are entailed in the vacuum state.
|
[
{
"created": "Thu, 29 Sep 2022 18:00:01 GMT",
"version": "v1"
}
] |
2022-10-03
|
[
[
"Koegler",
"Maximilian",
""
],
[
"Schneider",
"Marc",
""
]
] |
We use the hydrogen atom's bound state electron as a probe and investigate the consequences inflicted by time-resolved vacuum effects. Explicitly, we derive a closed form for the time-dependent modification of the Maxwell equations emanating from vacuum fluctuations in quantum electrodynamics. As a consequence, we find a non-vanishing probability that the corresponding hydrogen ground state can be excited through interactions with fermionic currents that are entailed in the vacuum state.
| 18.918112
| 19.256742
| 16.675869
| 15.867288
| 18.567585
| 18.465195
| 19.319355
| 17.746441
| 19.388607
| 18.205624
| 16.999067
| 18.590223
| 17.323788
| 17.124908
| 17.464319
| 18.144735
| 17.2666
| 17.637243
| 17.877453
| 18.060509
| 18.012581
|
1210.2585
|
Roberto Bonezzi
|
Roberto Bonezzi
|
U(N) spinning particles and higher spin fields on Kaehler backgrounds
|
5 pages. Based on the talk presented at Conference QFTG 2012, 31 Jul
- 4 Aug 2012. Tomsk, Russia. To appear in Tomsk State Pedagogical University
Bulletin
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this short contribution we will review the quantization of U(N) spinning
particles with complex target spaces, producing equations for higher spin
fields on complex backgrounds. We will focus first on flat complex space, and
subsequently discuss how to extend our model on suitable Kaehler manifolds. In
the final section, we will specialize to (p,q)-forms on arbitrary Kaehler
spaces and present their one-loop effective actions as well as issues related
to Hodge duality.
|
[
{
"created": "Tue, 9 Oct 2012 12:51:37 GMT",
"version": "v1"
}
] |
2012-10-10
|
[
[
"Bonezzi",
"Roberto",
""
]
] |
In this short contribution we will review the quantization of U(N) spinning particles with complex target spaces, producing equations for higher spin fields on complex backgrounds. We will focus first on flat complex space, and subsequently discuss how to extend our model on suitable Kaehler manifolds. In the final section, we will specialize to (p,q)-forms on arbitrary Kaehler spaces and present their one-loop effective actions as well as issues related to Hodge duality.
| 18.227339
| 15.937474
| 16.967712
| 14.84952
| 17.45842
| 15.771662
| 16.156166
| 15.299989
| 16.366001
| 18.908024
| 16.37429
| 16.032274
| 17.124029
| 16.2162
| 15.119633
| 15.893544
| 16.048906
| 16.254629
| 16.680443
| 15.789063
| 16.39045
|
2208.09771
|
Victoria Abakumova
|
V. A. Abakumova, S. L. Lyakhovich
|
Global conserved quantities and unfree gauge symmetry
|
6 pages, to appear in PEPAN Letters
| null |
10.1134/S1547477122050028
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a class of theories with unfree gauge symmetry, whose gauge
parameters are restricted by differential equations. We demonstrate that such
theories admit global conserved quantities, whose on-shell values are defined
by asymptotics of the fields rather than Cauchy data. The global conserved
quantities can be deduced proceeding from the equations restricting gauge
parameters, and they are treated differently by two BRST complexes
corresponding to a system with unfree gauge symmetry.
|
[
{
"created": "Sun, 21 Aug 2022 01:17:59 GMT",
"version": "v1"
}
] |
2022-10-19
|
[
[
"Abakumova",
"V. A.",
""
],
[
"Lyakhovich",
"S. L.",
""
]
] |
We consider a class of theories with unfree gauge symmetry, whose gauge parameters are restricted by differential equations. We demonstrate that such theories admit global conserved quantities, whose on-shell values are defined by asymptotics of the fields rather than Cauchy data. The global conserved quantities can be deduced proceeding from the equations restricting gauge parameters, and they are treated differently by two BRST complexes corresponding to a system with unfree gauge symmetry.
| 15.81746
| 14.139472
| 15.854868
| 13.346237
| 11.7863
| 12.125946
| 11.622611
| 11.548253
| 14.234386
| 19.172289
| 12.979386
| 13.236283
| 14.950925
| 13.711222
| 14.074536
| 13.091486
| 13.665929
| 13.335498
| 14.453586
| 15.034605
| 13.863347
|
hep-th/9812107
|
Gaida
|
R. Gaida, V. Tretyak, Yu. Yaremko (Institute for Condensed Matter
Physics)
|
Quasi-Relativistic Center-of-Mass Variables in Applications
|
12 pages, Latex2e
|
J.Phys.Condens.Matter 3 (1998) 425-437
| null | null |
hep-th
| null |
Collective center-of-mass variables are introduced in the Lagrangian
formalism of the relativistic classical mechanics of directly interacting
particles. It is shown that the transition to the Hamiltonian formalism leads
to the Bakamjian-Thomas model. The quantum-mechanical system consisting of two
spinless particles is investigated. Quasi-relativistic corrections to the
discrete energy spectrum are calculated for some Coulomb-like interactions
having field theoretical analogues.
|
[
{
"created": "Mon, 14 Dec 1998 11:59:17 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Gaida",
"R.",
"",
"Institute for Condensed Matter\n Physics"
],
[
"Tretyak",
"V.",
"",
"Institute for Condensed Matter\n Physics"
],
[
"Yaremko",
"Yu.",
"",
"Institute for Condensed Matter\n Physics"
]
] |
Collective center-of-mass variables are introduced in the Lagrangian formalism of the relativistic classical mechanics of directly interacting particles. It is shown that the transition to the Hamiltonian formalism leads to the Bakamjian-Thomas model. The quantum-mechanical system consisting of two spinless particles is investigated. Quasi-relativistic corrections to the discrete energy spectrum are calculated for some Coulomb-like interactions having field theoretical analogues.
| 10.870797
| 11.281053
| 10.868496
| 10.291945
| 11.783223
| 12.655814
| 11.08917
| 12.480846
| 10.110434
| 13.147432
| 11.110674
| 9.956618
| 10.05493
| 9.895425
| 9.638626
| 9.820926
| 9.513352
| 9.622579
| 9.826931
| 10.516802
| 9.971937
|
hep-th/0007141
|
Hiroshi Ishikawa
|
Hiroshi Ishikawa and Satoshi Watamura (Tohoku University)
|
Free Field Realization of D-brane in Group Manifold
|
23 pages, latex2e with amsmath
|
JHEP 0008 (2000) 044
|
10.1088/1126-6708/2000/08/044
|
TU-595
|
hep-th
| null |
We construct the boundary state for the D-brane in the SU(2) group manifold
directly in terms of the group variables. We propose a matching condition for
the left- and the right-moving sectors including the zero modes that describes
a D-brane of the Neumann-type. The free field realization of the WZW model is
used to obtain the boundary state subject to the matching condition. We show
that the resulting state coincides with Cardy's state. The structure of the
BRST cohomology is realized by imposing the invariance of the state under the
Weyl group of the current algebra.
|
[
{
"created": "Tue, 18 Jul 2000 11:19:27 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Ishikawa",
"Hiroshi",
"",
"Tohoku University"
],
[
"Watamura",
"Satoshi",
"",
"Tohoku University"
]
] |
We construct the boundary state for the D-brane in the SU(2) group manifold directly in terms of the group variables. We propose a matching condition for the left- and the right-moving sectors including the zero modes that describes a D-brane of the Neumann-type. The free field realization of the WZW model is used to obtain the boundary state subject to the matching condition. We show that the resulting state coincides with Cardy's state. The structure of the BRST cohomology is realized by imposing the invariance of the state under the Weyl group of the current algebra.
| 8.230209
| 7.402997
| 8.747942
| 6.942924
| 7.579947
| 7.556357
| 7.964937
| 7.413694
| 7.470595
| 8.628954
| 7.468834
| 7.715281
| 8.393331
| 7.749879
| 7.546388
| 7.592362
| 7.636763
| 7.597748
| 7.728096
| 8.247368
| 7.693461
|
hep-th/0402006
|
Bozhidar Zakhariev Iliev
|
Bozhidar Z. Iliev (Institute for Nuclear Research and Nuclear Energy,
Bulgarian Academy of Sciences, Sofia, Bulgaria)
|
Lagrangian quantum field theory in momentum picture. I. Free scalar
fields
|
56 LaTeX pages. The packages AMS-LaTeX and amsfonts are required. For
related papers, visit the "publication" pages at
http://theo.inrne.bas.bg/~bozho/
| null | null | null |
hep-th math-ph math.MP quant-ph
| null |
The work contains a detailed investigation of free neutral (Hermitian) or
charged (non-Hermitian) scalar fields and the describing them (system of)
Klein-Gordon equation(s) in momentum picture of motion. A form of the field
equation(s) in terms of creation and annihilation operators is derived. An
analysis of the (anti-)commutation relations on its base is presented. The
concept of the vacuum and the evolution of state vectors are discussed.
|
[
{
"created": "Sun, 1 Feb 2004 08:27:49 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Iliev",
"Bozhidar Z.",
"",
"Institute for Nuclear Research and Nuclear Energy,\n Bulgarian Academy of Sciences, Sofia, Bulgaria"
]
] |
The work contains a detailed investigation of free neutral (Hermitian) or charged (non-Hermitian) scalar fields and the describing them (system of) Klein-Gordon equation(s) in momentum picture of motion. A form of the field equation(s) in terms of creation and annihilation operators is derived. An analysis of the (anti-)commutation relations on its base is presented. The concept of the vacuum and the evolution of state vectors are discussed.
| 13.217287
| 12.060284
| 11.757722
| 10.872422
| 12.194705
| 11.832991
| 12.155512
| 11.05818
| 11.39626
| 12.75942
| 10.63224
| 11.651952
| 11.92509
| 11.230141
| 11.311686
| 11.105924
| 11.271384
| 11.592313
| 11.290672
| 11.491546
| 11.303857
|
hep-th/0611308
|
Roberto Zucchini
|
Roberto Zucchini
|
BiHermitian Supersymmetric Quantum Mechanics
|
45 pages, no figure; new results added in section 8
|
Class.Quant.Grav.24:2073-2098,2007
|
10.1088/0264-9381/24/8/009
|
DFUB 06
|
hep-th math-ph math.DG math.MP
| null |
BiHermitian geometry, discovered long ago by Gates, Hull and Rocek, is the
most general sigma model target space geometry allowing for (2,2) world sheet
supersymmetry. In this paper, we work out supersymmetric quantum mechanics for
a biHermitian target space. We display the full supersymmetry of the model and
illustrate in detail its quantization procedure. Finally, we show that the
quantized model reproduces the Hodge theory for compact twisted generalized
Kaehler manifolds recently developed by Gualtieri. This allows us to recover
and put in a broader context the results on the biHermitian topological sigma
models obtained by Kapustin and Li.
|
[
{
"created": "Tue, 28 Nov 2006 15:26:21 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Dec 2006 10:26:18 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Zucchini",
"Roberto",
""
]
] |
BiHermitian geometry, discovered long ago by Gates, Hull and Rocek, is the most general sigma model target space geometry allowing for (2,2) world sheet supersymmetry. In this paper, we work out supersymmetric quantum mechanics for a biHermitian target space. We display the full supersymmetry of the model and illustrate in detail its quantization procedure. Finally, we show that the quantized model reproduces the Hodge theory for compact twisted generalized Kaehler manifolds recently developed by Gualtieri. This allows us to recover and put in a broader context the results on the biHermitian topological sigma models obtained by Kapustin and Li.
| 8.84466
| 7.652709
| 10.822271
| 7.677572
| 7.880416
| 8.322826
| 7.742666
| 7.989189
| 7.141944
| 9.629442
| 7.696589
| 7.346781
| 8.974908
| 7.62429
| 7.600463
| 7.865745
| 7.551525
| 7.792592
| 8.01423
| 8.84866
| 7.897828
|
1201.4302
|
Sergey Yu. Vernov
|
E. Elizalde, A. J. Lopez-Revelles, S. D. Odintsov, S. Yu. Vernov
|
Cosmological models with Yang-Mills fields
|
14 pages, v2: refs. added
|
Phys. Atom. Nucl. 76 (2013) 996-1003
|
10.1134/S1063778813080097
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Cosmological models with an SU(2) Yang-Mills field are studied. For a
specific model with a minimally coupled Yang-Mills Lagrangian, which includes
an arbitrary function of the second-order term and a fourth-order term, a
corresponding reconstruction program is proposed. It is shown that the model
with minimal coupling has no de Sitter solutions, for any nontrivial function
of the second-order term. To get de Sitter solutions, a gravitational model
with nonminimally coupled Yang-Mills fields is then investigated. It is shown
that the model with non-minimal coupling has in fact a de Sitter solution, even
in absence of the cosmological constant term.
|
[
{
"created": "Fri, 20 Jan 2012 14:21:53 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Mar 2012 14:00:18 GMT",
"version": "v2"
}
] |
2013-08-27
|
[
[
"Elizalde",
"E.",
""
],
[
"Lopez-Revelles",
"A. J.",
""
],
[
"Odintsov",
"S. D.",
""
],
[
"Vernov",
"S. Yu.",
""
]
] |
Cosmological models with an SU(2) Yang-Mills field are studied. For a specific model with a minimally coupled Yang-Mills Lagrangian, which includes an arbitrary function of the second-order term and a fourth-order term, a corresponding reconstruction program is proposed. It is shown that the model with minimal coupling has no de Sitter solutions, for any nontrivial function of the second-order term. To get de Sitter solutions, a gravitational model with nonminimally coupled Yang-Mills fields is then investigated. It is shown that the model with non-minimal coupling has in fact a de Sitter solution, even in absence of the cosmological constant term.
| 6.736905
| 6.025068
| 6.386277
| 6.1266
| 6.2747
| 6.512263
| 6.63961
| 6.165639
| 6.277056
| 6.794202
| 6.513121
| 6.457903
| 6.716624
| 6.449098
| 6.561337
| 6.260853
| 6.405297
| 6.455036
| 6.612202
| 6.537389
| 6.253472
|
1912.06146
|
Mohamed Elmi
|
Philip Candelas, Xenia de la Ossa, Mohamed Elmi and Duco van Straten
|
A One Parameter Family of Calabi-Yau Manifolds with Attractor Points of
Rank Two
|
84 pages, 24 colour figures, 14 tables
| null |
10.1007/JHEP10(2020)202
| null |
hep-th math.AG math.NT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the process of studying the zeta-function for one parameter families of
Calabi-Yau manifolds we have been led to a manifold, first studied by Verrill,
for which the quartic numerator of the zeta-function factorises into two
quadrics remarkably often. Among these factorisations, we find persistent
factorisations; these are determined by a parameter that satisfies an algebraic
equation with coefficients in Q, so independent of any particular prime. Such
factorisations are expected to be modular with each quadratic factor associated
to a modular form. If the parameter is defined over Q this modularity is
assured by the proof of the Serre Conjecture. We identify three values of the
parameter that give rise to persistent factorisations, one of which is defined
over Q, and identify, for all three cases, the associated modular groups. We
note that these factorisations are due a splitting of Hodge structure and that
these special values of the parameter are rank two attractor points in the
sense of IIB supergravity. To our knowledge, these points provide the first
explicit examples of non-singular, non-rigid rank two attractor points for
Calabi-Yau manifolds of full SU(3) holonomy. The values of the periods and
their covariant derivatives, at the attractor points, are identified in terms
of critical values of the L-functions of the modular groups. Thus the critical
L-values enter into the calculation of physical quantities such as the area of
the black hole in the 4D spacetime. In our search for additional rank two
attractor points, we perform a statistical analysis of the numerator of the
zeta-function and are led to conjecture that the coefficients in this
polynomial are distributed according to the statistics of random USp(4)
matrices.
|
[
{
"created": "Thu, 12 Dec 2019 19:00:02 GMT",
"version": "v1"
}
] |
2020-12-02
|
[
[
"Candelas",
"Philip",
""
],
[
"de la Ossa",
"Xenia",
""
],
[
"Elmi",
"Mohamed",
""
],
[
"van Straten",
"Duco",
""
]
] |
In the process of studying the zeta-function for one parameter families of Calabi-Yau manifolds we have been led to a manifold, first studied by Verrill, for which the quartic numerator of the zeta-function factorises into two quadrics remarkably often. Among these factorisations, we find persistent factorisations; these are determined by a parameter that satisfies an algebraic equation with coefficients in Q, so independent of any particular prime. Such factorisations are expected to be modular with each quadratic factor associated to a modular form. If the parameter is defined over Q this modularity is assured by the proof of the Serre Conjecture. We identify three values of the parameter that give rise to persistent factorisations, one of which is defined over Q, and identify, for all three cases, the associated modular groups. We note that these factorisations are due a splitting of Hodge structure and that these special values of the parameter are rank two attractor points in the sense of IIB supergravity. To our knowledge, these points provide the first explicit examples of non-singular, non-rigid rank two attractor points for Calabi-Yau manifolds of full SU(3) holonomy. The values of the periods and their covariant derivatives, at the attractor points, are identified in terms of critical values of the L-functions of the modular groups. Thus the critical L-values enter into the calculation of physical quantities such as the area of the black hole in the 4D spacetime. In our search for additional rank two attractor points, we perform a statistical analysis of the numerator of the zeta-function and are led to conjecture that the coefficients in this polynomial are distributed according to the statistics of random USp(4) matrices.
| 9.782565
| 10.842623
| 11.962246
| 10.173799
| 10.653156
| 10.762498
| 10.811679
| 10.926268
| 10.27909
| 11.762259
| 9.978202
| 9.715165
| 10.010544
| 9.859596
| 10.063105
| 9.865444
| 9.735674
| 9.758032
| 9.773459
| 10.296348
| 9.666824
|
hep-th/9506067
|
Anton Kapustin
|
S.Skorik, A.Kapustin
|
Surface excitations and surface energy of the antiferromagnetic XXZ
chain by the Bethe ansatz approach
|
Revtex file with 2 figures. Complementary remarks added
|
J.Phys.A29:1629-1638,1996
|
10.1088/0305-4470/29/8/011
|
USC-95-015, CALT-68-1998
|
hep-th
| null |
We study boundary bound states using the Bethe ansatz formalism for the
finite $XXZ$ $(\Delta>1)$ chain in a boundary magnetic field $h$. Boundary
bound states are represented by the ``boundary strings'' similar to those
described in the work of H.Saleur, S.Skorik. We find that for certain values of
$h$ the ground state wave function contains boundary strings, and from this
infer the existence of two ``critical'' fields in agreement with the results of
Jimbo et al. An expression for the vacuum surface energy in the thermodynamic
limit is derived and found to be an analytic function of $h$. We argue that
boundary excitations appear only in pairs with ``bulk'' excitations or with
boundary excitations at the other end of the chain. We mainly discuss the case
where the magnetic fields at the left and the right boundaries are
antiparallel, but we also comment on the case of the parallel fields. In the
Ising ($\Delta=\infty$) and isotropic ($\Delta=1$) limits our results agree
with those previously known.
|
[
{
"created": "Fri, 9 Jun 1995 21:11:09 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Jun 1995 00:17:46 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Skorik",
"S.",
""
],
[
"Kapustin",
"A.",
""
]
] |
We study boundary bound states using the Bethe ansatz formalism for the finite $XXZ$ $(\Delta>1)$ chain in a boundary magnetic field $h$. Boundary bound states are represented by the ``boundary strings'' similar to those described in the work of H.Saleur, S.Skorik. We find that for certain values of $h$ the ground state wave function contains boundary strings, and from this infer the existence of two ``critical'' fields in agreement with the results of Jimbo et al. An expression for the vacuum surface energy in the thermodynamic limit is derived and found to be an analytic function of $h$. We argue that boundary excitations appear only in pairs with ``bulk'' excitations or with boundary excitations at the other end of the chain. We mainly discuss the case where the magnetic fields at the left and the right boundaries are antiparallel, but we also comment on the case of the parallel fields. In the Ising ($\Delta=\infty$) and isotropic ($\Delta=1$) limits our results agree with those previously known.
| 7.878977
| 7.917027
| 9.377288
| 7.964847
| 9.219052
| 8.479514
| 8.351322
| 7.920261
| 7.919085
| 9.205524
| 7.661547
| 7.722449
| 8.346646
| 7.878678
| 7.860079
| 7.79041
| 7.589816
| 7.483587
| 7.822437
| 8.356359
| 7.668188
|
hep-th/0606204
|
Yasuhiro Sekino
|
Ben Freivogel, Yasuhiro Sekino, Leonard Susskind, Chen-Pin Yeh
|
A Holographic Framework for Eternal Inflation
|
53 pages, 7 figures; v2: minor corrections, typos in section 6.2
corrected
|
Phys.Rev.D74:086003,2006
|
10.1103/PhysRevD.74.086003
|
SU-ITP-06-18, OIQP-06-07, UCB-PTH-06/12, LBNL-60518
|
hep-th
| null |
In this paper we provide some circumstantial evidence for a holographic
duality between bubble nucleation in an eternally inflating universe and a
Euclidean conformal field theory. The holographic correspondence (which is
different than Strominger's dS/CFT duality) relates the decay of
(3+1)-dimensional de Sitter space to a two-dimensional CFT. It is not
associated with pure de Sitter space, but rather with Coleman-De Luccia bubble
nucleation. Alternatively, it can be thought of as a holographic description of
the open, infinite, FRW cosmology that results from such a bubble. The
conjectured holographic representation is of a new type that combines
holography with the Wheeler-DeWitt formalism to produce a Wheeler-DeWitt theory
that lives on the spatial boundary of a k=-1 FRW cosmology. We also argue for a
more ambitious interpretation of the Wheeler-DeWitt CFT as a holographic dual
of the entire Landscape.
|
[
{
"created": "Wed, 21 Jun 2006 09:48:50 GMT",
"version": "v1"
},
{
"created": "Sun, 30 Jul 2006 04:35:07 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Freivogel",
"Ben",
""
],
[
"Sekino",
"Yasuhiro",
""
],
[
"Susskind",
"Leonard",
""
],
[
"Yeh",
"Chen-Pin",
""
]
] |
In this paper we provide some circumstantial evidence for a holographic duality between bubble nucleation in an eternally inflating universe and a Euclidean conformal field theory. The holographic correspondence (which is different than Strominger's dS/CFT duality) relates the decay of (3+1)-dimensional de Sitter space to a two-dimensional CFT. It is not associated with pure de Sitter space, but rather with Coleman-De Luccia bubble nucleation. Alternatively, it can be thought of as a holographic description of the open, infinite, FRW cosmology that results from such a bubble. The conjectured holographic representation is of a new type that combines holography with the Wheeler-DeWitt formalism to produce a Wheeler-DeWitt theory that lives on the spatial boundary of a k=-1 FRW cosmology. We also argue for a more ambitious interpretation of the Wheeler-DeWitt CFT as a holographic dual of the entire Landscape.
| 7.86563
| 8.197765
| 8.624749
| 7.16481
| 7.739429
| 7.504744
| 7.249533
| 7.605465
| 7.623565
| 8.798841
| 7.094748
| 7.289846
| 7.775147
| 7.210123
| 7.439415
| 7.323837
| 7.318818
| 7.25784
| 7.291079
| 7.742856
| 7.355519
|
1503.08607
|
Alikram Aliev
|
Alikram N. Aliev
|
Superradiance and instability of small rotating charged AdS black holes
in all dimensions
|
20 pages, REVTeX; Minor changes, new references added
| null |
10.1140/epjc/s10052-016-3902-6
| null |
hep-th astro-ph.HE gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Rotating small AdS black holes exhibit the superradiant instability to
low-frequency scalar perturbations, which is amenable to a complete analytic
description in four dimensions. In this paper, we extend this description to
all higher dimensions, focusing on slowly rotating charged AdS black holes with
a single angular momentum. We divide the spacetime of these black holes into
the near-horizon and far regions and find solutions to the scalar wave equation
in each of these regions. Next, we perform the matching of these solutions in
the overlap between the regions, by employing the idea that the orbital quantum
number $ \ell $ can be thought of as an approximate integer. Thus, we obtain
the complete low-frequency solution that allows us to calculate the complex
frequency spectrum of quasinormal modes, whose imaginary part is determined by
a small damping parameter. Finally, we find a remarkably instructive expression
for the damping parameter, which appears to be a complex quantity in general.
We show that the real part of the damping parameter can be used to give a {\it
universal} analytic description of the superradiant instability for slowly
rotating charged AdS black holes in all spacetime dimensions.
|
[
{
"created": "Mon, 30 Mar 2015 09:20:03 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Sep 2015 21:34:32 GMT",
"version": "v2"
}
] |
2016-03-23
|
[
[
"Aliev",
"Alikram N.",
""
]
] |
Rotating small AdS black holes exhibit the superradiant instability to low-frequency scalar perturbations, which is amenable to a complete analytic description in four dimensions. In this paper, we extend this description to all higher dimensions, focusing on slowly rotating charged AdS black holes with a single angular momentum. We divide the spacetime of these black holes into the near-horizon and far regions and find solutions to the scalar wave equation in each of these regions. Next, we perform the matching of these solutions in the overlap between the regions, by employing the idea that the orbital quantum number $ \ell $ can be thought of as an approximate integer. Thus, we obtain the complete low-frequency solution that allows us to calculate the complex frequency spectrum of quasinormal modes, whose imaginary part is determined by a small damping parameter. Finally, we find a remarkably instructive expression for the damping parameter, which appears to be a complex quantity in general. We show that the real part of the damping parameter can be used to give a {\it universal} analytic description of the superradiant instability for slowly rotating charged AdS black holes in all spacetime dimensions.
| 7.715864
| 7.593005
| 7.28689
| 7.312702
| 7.66118
| 7.685301
| 7.979566
| 7.280784
| 7.400606
| 8.026644
| 7.311945
| 7.192864
| 7.164034
| 7.172582
| 7.490815
| 7.406103
| 7.365152
| 7.441766
| 7.247835
| 7.377629
| 7.191984
|
1406.6000
|
Sungjay Lee
|
Jeffrey A. Harvey, David Kutasov and Sungjay Lee
|
Comments on Quantum Higgs Vacua
|
1+13 pages
| null | null |
EFI-14-20
|
hep-th
|
http://creativecommons.org/licenses/publicdomain/
|
We study two-dimensional N=(4,4) supersymmetric gauge theories which do not
have classical Higgs branches, but are believed to have isolated quantum Higgs
vacua. We provide arguments for the existence of such vacua based on brane
dynamics in string theory and the supersymmetric partition sums of the gauge
theories.
|
[
{
"created": "Mon, 23 Jun 2014 17:40:11 GMT",
"version": "v1"
}
] |
2014-06-24
|
[
[
"Harvey",
"Jeffrey A.",
""
],
[
"Kutasov",
"David",
""
],
[
"Lee",
"Sungjay",
""
]
] |
We study two-dimensional N=(4,4) supersymmetric gauge theories which do not have classical Higgs branches, but are believed to have isolated quantum Higgs vacua. We provide arguments for the existence of such vacua based on brane dynamics in string theory and the supersymmetric partition sums of the gauge theories.
| 8.025488
| 6.518556
| 8.912837
| 6.344878
| 6.702522
| 6.672377
| 6.57355
| 6.692639
| 6.155435
| 8.867723
| 6.672416
| 6.576554
| 7.959065
| 6.481667
| 6.560807
| 6.594238
| 6.60421
| 6.868398
| 6.646543
| 7.749641
| 6.608005
|
hep-th/9707177
|
Francis Vendrell
|
M.E. Ortiz, F. Vendrell
|
Thermal radiation in non-static curved spacetimes: quantum mechanical
path integrals and configuration space topology
|
20 pages, major revised version, 9 figures, new title
|
Phys.Rev.D59:084005,1999
|
10.1103/PhysRevD.59.084005
|
Imperial/TP/96-97/55
|
hep-th gr-qc quant-ph
| null |
A quantum mechanical path integral derivation is given of a thermal
propagator in non-static Gui spacetime. The thermal nature of the propagator is
understood in terms of homotopically non-trivial paths in the configuration
space appropriate to tortoise coordinates. The connection to thermal emission
from collapsing black holes is discussed.
|
[
{
"created": "Mon, 21 Jul 1997 12:06:11 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Jun 1998 12:51:49 GMT",
"version": "v2"
}
] |
2009-12-15
|
[
[
"Ortiz",
"M. E.",
""
],
[
"Vendrell",
"F.",
""
]
] |
A quantum mechanical path integral derivation is given of a thermal propagator in non-static Gui spacetime. The thermal nature of the propagator is understood in terms of homotopically non-trivial paths in the configuration space appropriate to tortoise coordinates. The connection to thermal emission from collapsing black holes is discussed.
| 22.863613
| 18.821434
| 18.584139
| 17.038849
| 17.851894
| 21.644562
| 16.806726
| 17.488962
| 18.646349
| 20.284304
| 19.115227
| 17.480703
| 17.144897
| 16.304695
| 17.794741
| 17.478199
| 17.579174
| 17.235983
| 17.719719
| 16.252874
| 17.346041
|
hep-th/9909199
|
Erich Poppitz
|
Alan Chodos and Erich Poppitz
|
Warp Factors and Extended Sources in Two Transverse Dimensions
|
11 pages, LaTeX; References and acknowledgments added
|
Phys.Lett.B471:119-127,1999
|
10.1016/S0370-2693(99)01356-8
|
YCTP-P26-99
|
hep-th hep-ph
| null |
We study the solutions of the Einstein equations in (d+2)-dimensions,
describing parallel p-branes (p=d-1) in a space with two transverse dimensions
of positive gaussian curvature. These solutions generalize the solutions of
Deser and Jackiw of point particle sources in (2+1)-dimensional gravity with
cosmological constant. Determination of the metric is reduced to finding the
roots of a simple algebraic equation. These roots also determine the nontrivial
"warp factors" of the metric at the positions of the branes. We discuss the
possible role of these solutions and the importance of "warp factors" in the
context of the large extra dimensions scenario.
|
[
{
"created": "Tue, 28 Sep 1999 18:48:54 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Sep 1999 17:16:42 GMT",
"version": "v2"
}
] |
2010-04-06
|
[
[
"Chodos",
"Alan",
""
],
[
"Poppitz",
"Erich",
""
]
] |
We study the solutions of the Einstein equations in (d+2)-dimensions, describing parallel p-branes (p=d-1) in a space with two transverse dimensions of positive gaussian curvature. These solutions generalize the solutions of Deser and Jackiw of point particle sources in (2+1)-dimensional gravity with cosmological constant. Determination of the metric is reduced to finding the roots of a simple algebraic equation. These roots also determine the nontrivial "warp factors" of the metric at the positions of the branes. We discuss the possible role of these solutions and the importance of "warp factors" in the context of the large extra dimensions scenario.
| 8.691094
| 8.362328
| 8.444551
| 7.448838
| 8.535596
| 7.928468
| 7.71869
| 7.888756
| 7.685728
| 8.692763
| 7.512879
| 7.736401
| 7.952233
| 7.649323
| 7.620074
| 7.934491
| 7.665782
| 7.421916
| 7.932261
| 8.044329
| 7.860581
|
hep-th/9711022
|
Alexander Bylev
|
A.B.Bylev, V.A.Franke, E.V.Prokhvatilov
|
Zero-mode contribution to the light-front Hamiltonian of Yukawa type
models
|
14 pages, Latex, revised version with minor changes, Submitted to
J.Phys.G
|
J.Phys.G24:939-952,1998
|
10.1088/0954-3899/24/5/003
| null |
hep-th
| null |
Light-front Hamiltonian for Yukawa type models is determined without the
framework of canonical light-front formalism. Special attention is given to the
contribution of zero modes.
|
[
{
"created": "Wed, 5 Nov 1997 10:07:00 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Nov 1997 15:09:00 GMT",
"version": "v2"
},
{
"created": "Thu, 13 Nov 1997 08:19:40 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Bylev",
"A. B.",
""
],
[
"Franke",
"V. A.",
""
],
[
"Prokhvatilov",
"E. V.",
""
]
] |
Light-front Hamiltonian for Yukawa type models is determined without the framework of canonical light-front formalism. Special attention is given to the contribution of zero modes.
| 24.678322
| 18.028412
| 15.303706
| 14.619686
| 22.080389
| 20.843918
| 18.782413
| 17.079203
| 14.231217
| 18.687031
| 15.860868
| 17.466019
| 16.727064
| 17.194077
| 17.602501
| 16.886383
| 16.927837
| 17.567753
| 16.557302
| 16.343927
| 16.568253
|
hep-th/9904042
|
Sanefumi Moriyama
|
Hiroyuki Hata and Sanefumi Moriyama
|
Conformal Symmetry and A New Gauge in the Matrix Model
|
17 pages, LaTeX, no figures; v2: Introduction modified, references
added and typos corrected; v3: Introduction changed; v4: Eq.(12) corrected;
v5: final version to appear in Phys. Rev. D
|
Phys. Rev. D 60, 126006 (1999)
|
10.1103/PhysRevD.60.126006
|
KUNS-1568
|
hep-th
| null |
We generalize the background gauge in the Matrix model to propose a new gauge
which is useful for discussing the conformal symmetry. In this gauge, the
special conformal transformation (SCT) as the isometry of the near-horizon
geometry of the D-particle solution is directly reproduced with the correct
coefficient as the quantum correction to the SCT in the Matrix model. We also
present a general argument for the relation between the gauge choice and the
field redefinition in the Matrix model.
|
[
{
"created": "Wed, 7 Apr 1999 06:16:05 GMT",
"version": "v1"
},
{
"created": "Sat, 17 Apr 1999 03:15:36 GMT",
"version": "v2"
},
{
"created": "Fri, 11 Jun 1999 07:06:26 GMT",
"version": "v3"
},
{
"created": "Fri, 16 Jul 1999 05:55:03 GMT",
"version": "v4"
},
{
"created": "Mon, 13 Sep 1999 03:26:33 GMT",
"version": "v5"
}
] |
2016-08-25
|
[
[
"Hata",
"Hiroyuki",
""
],
[
"Moriyama",
"Sanefumi",
""
]
] |
We generalize the background gauge in the Matrix model to propose a new gauge which is useful for discussing the conformal symmetry. In this gauge, the special conformal transformation (SCT) as the isometry of the near-horizon geometry of the D-particle solution is directly reproduced with the correct coefficient as the quantum correction to the SCT in the Matrix model. We also present a general argument for the relation between the gauge choice and the field redefinition in the Matrix model.
| 11.054982
| 8.219242
| 10.769765
| 9.049786
| 9.247534
| 9.003091
| 9.393683
| 8.765061
| 8.562707
| 12.650553
| 9.690988
| 10.114281
| 10.385259
| 10.36609
| 10.45243
| 10.134425
| 10.050601
| 9.871705
| 10.203073
| 10.725013
| 9.806516
|
1906.10072
|
Finnian Gray
|
Ramiro Cayuso, Finnian Gray, David Kubiznak, Aoibheann Margalit,
Renato Gomes Souza, Leander Thiele
|
Principal Tensor Strikes Again: Separability of Vector Equations with
Torsion
|
8 pages
| null |
10.1016/j.physletb.2019.07.007
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Many black hole spacetimes with a 3-form field exhibit a hidden symmetry
encoded in a torsion generalization of the principal Killing--Yano tensor. This
tensor determines basic properties of such black holes while also underlying
the separability of the Hamilton--Jacobi, Klein--Gordon, and (torsion-modified)
Dirac field equations in their background. As a specific example, we consider
the Chong--Cveti\v{c}--L\"u--Pope black hole of $D=5$ minimal gauged
supergravity and show that the torsion-modified vector field equations can also
be separated, with the principal tensor playing a key role in the separability
ansatz. For comparison, separability of the Proca field in higher-dimensional
Kerr--NUT--AdS spacetimes (including new explicit formulae in odd dimensions)
is also presented.
|
[
{
"created": "Mon, 24 Jun 2019 16:45:07 GMT",
"version": "v1"
}
] |
2019-07-10
|
[
[
"Cayuso",
"Ramiro",
""
],
[
"Gray",
"Finnian",
""
],
[
"Kubiznak",
"David",
""
],
[
"Margalit",
"Aoibheann",
""
],
[
"Souza",
"Renato Gomes",
""
],
[
"Thiele",
"Leander",
""
]
] |
Many black hole spacetimes with a 3-form field exhibit a hidden symmetry encoded in a torsion generalization of the principal Killing--Yano tensor. This tensor determines basic properties of such black holes while also underlying the separability of the Hamilton--Jacobi, Klein--Gordon, and (torsion-modified) Dirac field equations in their background. As a specific example, we consider the Chong--Cveti\v{c}--L\"u--Pope black hole of $D=5$ minimal gauged supergravity and show that the torsion-modified vector field equations can also be separated, with the principal tensor playing a key role in the separability ansatz. For comparison, separability of the Proca field in higher-dimensional Kerr--NUT--AdS spacetimes (including new explicit formulae in odd dimensions) is also presented.
| 7.51461
| 7.073548
| 6.887047
| 6.401653
| 6.962934
| 7.111794
| 6.753853
| 6.671872
| 6.995849
| 8.459328
| 6.936099
| 7.520957
| 7.221041
| 6.826297
| 7.561632
| 7.228761
| 7.646785
| 6.793722
| 7.254913
| 6.863493
| 7.409303
|
hep-th/9302118
|
Louis Crane
|
David N. Yetter and Louis Crane
|
We Are Not Stuck With Gluing
|
2 pages
| null | null | null |
hep-th math.QA
| null |
We show that the construction of Ocneanu, which yields 1 for any 4D manifold,
is not identical to our construction, which gives different numbers for
different manifolds.
|
[
{
"created": "Wed, 24 Feb 1993 20:35:29 GMT",
"version": "v1"
}
] |
2008-02-03
|
[
[
"Yetter",
"David N.",
""
],
[
"Crane",
"Louis",
""
]
] |
We show that the construction of Ocneanu, which yields 1 for any 4D manifold, is not identical to our construction, which gives different numbers for different manifolds.
| 15.905602
| 18.360275
| 16.03768
| 14.921073
| 16.048405
| 16.796175
| 17.115429
| 13.44426
| 14.313565
| 17.380114
| 15.522692
| 16.465776
| 15.666717
| 14.538271
| 14.707866
| 14.11828
| 15.928608
| 15.896477
| 15.692564
| 16.482832
| 14.033573
|
1512.05785
|
Piotr Sulkowski
|
Masahide Manabe, Piotr Su{\l}kowski
|
Quantum curves and conformal field theory
|
90 pages, published version
|
Phys. Rev. D 95, 126003 (2017)
|
10.1103/PhysRevD.95.126003
|
CALT-2015-061
|
hep-th math-ph math.MP math.QA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
To a given algebraic curve we assign an infinite family of quantum curves
(Schr\"odinger equations), which are in one-to-one correspondence with, and
have the structure of, Virasoro singular vectors. For a spectral curve of a
matrix model we build such quantum curves out of an appropriate representation
of the Virasoro algebra, encoded in the structure of the
$\alpha/\beta$-deformed matrix integral and its loop equation. We generalize
this construction to a large class of algebraic curves by means of a refined
topological recursion. We also specialize this construction to various specific
matrix models with polynomial and logarithmic potentials, and among other
results, show that various ingredients familiar in the study of conformal field
theory (Ward identities, correlation functions and a representation of Virasoro
operators acting thereon, BPZ equations) arise upon specialization of our
formalism to the multi-Penner matrix model.
|
[
{
"created": "Thu, 17 Dec 2015 21:00:10 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Jul 2017 11:48:24 GMT",
"version": "v2"
}
] |
2017-07-07
|
[
[
"Manabe",
"Masahide",
""
],
[
"Sułkowski",
"Piotr",
""
]
] |
To a given algebraic curve we assign an infinite family of quantum curves (Schr\"odinger equations), which are in one-to-one correspondence with, and have the structure of, Virasoro singular vectors. For a spectral curve of a matrix model we build such quantum curves out of an appropriate representation of the Virasoro algebra, encoded in the structure of the $\alpha/\beta$-deformed matrix integral and its loop equation. We generalize this construction to a large class of algebraic curves by means of a refined topological recursion. We also specialize this construction to various specific matrix models with polynomial and logarithmic potentials, and among other results, show that various ingredients familiar in the study of conformal field theory (Ward identities, correlation functions and a representation of Virasoro operators acting thereon, BPZ equations) arise upon specialization of our formalism to the multi-Penner matrix model.
| 10.980671
| 10.837114
| 13.105486
| 10.763779
| 11.911039
| 10.818425
| 11.691572
| 11.466979
| 11.377069
| 14.568222
| 10.3143
| 10.466801
| 11.195955
| 10.310965
| 10.472772
| 10.529887
| 10.667177
| 10.387992
| 10.545189
| 10.69948
| 10.35346
|
1902.01700
|
Shin-Ichiro Kumamoto
|
Ken-Ichi Aoki, Tamao Kobayashi, Shin-Ichiro Kumamoto, Shinnosuke Onai,
Daisuke Sato
|
Singularity Free Direct Calculation of Spontaneous Mass Generation
| null |
The Science Reports of Kanazawa University 61(2017) 1
| null |
KANAZAWA-18-08
|
hep-th nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a new iterative method to directly calculate the spontaneous mass
generation. It is regarded as a new regularization method resembling the finite
volume calculation which assures non-negative fluctuation property at every
stage. We work with the Nambu--Jona-Lasinio model and the strong coupling gauge
theory where the dynamical chiral symmetry breaking occurs. We are able to
conclude the physical mass definitely without encountering any singularity nor
recourse to any additional consideration like the free energy comparison.
However in special case of the 1st order phase transition, we find that the
iterative method has a chance to go wrong.
|
[
{
"created": "Mon, 4 Feb 2019 03:53:06 GMT",
"version": "v1"
}
] |
2019-02-06
|
[
[
"Aoki",
"Ken-Ichi",
""
],
[
"Kobayashi",
"Tamao",
""
],
[
"Kumamoto",
"Shin-Ichiro",
""
],
[
"Onai",
"Shinnosuke",
""
],
[
"Sato",
"Daisuke",
""
]
] |
We propose a new iterative method to directly calculate the spontaneous mass generation. It is regarded as a new regularization method resembling the finite volume calculation which assures non-negative fluctuation property at every stage. We work with the Nambu--Jona-Lasinio model and the strong coupling gauge theory where the dynamical chiral symmetry breaking occurs. We are able to conclude the physical mass definitely without encountering any singularity nor recourse to any additional consideration like the free energy comparison. However in special case of the 1st order phase transition, we find that the iterative method has a chance to go wrong.
| 19.872303
| 18.621048
| 21.013258
| 19.480631
| 21.537773
| 19.255831
| 19.560928
| 18.874767
| 18.588192
| 20.554798
| 19.532841
| 19.344234
| 18.861443
| 19.048464
| 18.974337
| 18.801584
| 19.401583
| 19.215162
| 18.859688
| 18.683311
| 18.543659
|
hep-th/9706064
|
Kyoung Ho Han
|
Kwanghoon Hahm, KyoungHo Han and H. J. Shin
|
Composite Skyrme Model with Vector Mesons
|
LaTeX, 9 pages, 3 figures, to be published in Phys. Rev. D
|
Phys.Rev. D56 (1997) 1812-1815
|
10.1103/PhysRevD.56.1812
|
SNUCTP 97-080
|
hep-th
| null |
We study the composite Skyrme model, proposed by Cheung and G\"{u}rsey,
introducing vector mesons in a chiral Lagrangian. We calculate the static
properties of baryons and compare with results obtained from models without
vector mesons.
|
[
{
"created": "Tue, 10 Jun 1997 06:25:48 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Hahm",
"Kwanghoon",
""
],
[
"Han",
"KyoungHo",
""
],
[
"Shin",
"H. J.",
""
]
] |
We study the composite Skyrme model, proposed by Cheung and G\"{u}rsey, introducing vector mesons in a chiral Lagrangian. We calculate the static properties of baryons and compare with results obtained from models without vector mesons.
| 10.866682
| 9.045992
| 8.055139
| 9.061519
| 8.911199
| 10.579526
| 8.220571
| 10.272235
| 8.504875
| 9.067042
| 8.853117
| 10.271026
| 9.686215
| 9.534258
| 9.711606
| 10.434641
| 9.48556
| 10.149003
| 9.144836
| 9.658377
| 9.966962
|
hep-th/0611279
|
Kwang Sik Jeong
|
Kiwoon Choi, Kwang Sik Jeong
|
String theoretic QCD axion with stabilized saxion and the pattern of
supersymmetry breaking
|
JHEP style, 21 pages, 3 figures; typos corrected
|
JHEP 0701:103,2007
|
10.1088/1126-6708/2007/01/103
|
KAIST-TH 2006/11
|
hep-th hep-ph
| null |
String theoretic axion is a prime candidate for the QCD axion solving the
strong CP problem. For a successful realization of the QCD axion in string
theory, one needs to stabilize moduli including the scalar partner (saxion) of
the QCD axion, while keeping the QCD axion unfixed until the low energy QCD
instanton effects are turned on. We note that a simple generalization of KKLT
moduli stabilization provides such set-up realizing the axion solution to the
strong CP problem. Although some details of moduli stabilization are different
from the original KKLT scenario, this set-up leads to the mirage mediation
pattern of soft SUSY breaking terms as in the KKLT case, preserving flavor and
CP as a consequence of approximate scaling and axionic shift symmetries. The
set-up also gives an interesting pattern of moduli masses which might avoid the
cosmological moduli, gravitino and axion problems.
|
[
{
"created": "Mon, 27 Nov 2006 05:07:14 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Dec 2006 06:13:46 GMT",
"version": "v2"
},
{
"created": "Wed, 27 Dec 2006 17:20:55 GMT",
"version": "v3"
}
] |
2010-10-27
|
[
[
"Choi",
"Kiwoon",
""
],
[
"Jeong",
"Kwang Sik",
""
]
] |
String theoretic axion is a prime candidate for the QCD axion solving the strong CP problem. For a successful realization of the QCD axion in string theory, one needs to stabilize moduli including the scalar partner (saxion) of the QCD axion, while keeping the QCD axion unfixed until the low energy QCD instanton effects are turned on. We note that a simple generalization of KKLT moduli stabilization provides such set-up realizing the axion solution to the strong CP problem. Although some details of moduli stabilization are different from the original KKLT scenario, this set-up leads to the mirage mediation pattern of soft SUSY breaking terms as in the KKLT case, preserving flavor and CP as a consequence of approximate scaling and axionic shift symmetries. The set-up also gives an interesting pattern of moduli masses which might avoid the cosmological moduli, gravitino and axion problems.
| 7.130882
| 6.844206
| 7.236266
| 6.721862
| 7.148254
| 7.159318
| 6.960501
| 6.943764
| 6.934523
| 7.562775
| 6.794302
| 7.098864
| 7.175997
| 6.891516
| 6.837743
| 6.917711
| 7.059493
| 6.836289
| 7.092729
| 6.919018
| 6.774457
|
hep-th/9510073
|
Richard Grimm
|
R. Grimm
|
Supergravity, Linear Multiplets, and Chern-Simons Forms
| null | null | null | null |
hep-th
| null |
Some general features of locally supersymmetric theories (N=1 in four
dimensions) involving Chern-Simons forms and antisymmetric tensors are sketched
out. The relevance of the three-form multiplet both for the description of
Chern-Simons forms and the supersymmetry properties of the gaugino condensate
is pointed out.
|
[
{
"created": "Wed, 11 Oct 1995 16:27:45 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Grimm",
"R.",
""
]
] |
Some general features of locally supersymmetric theories (N=1 in four dimensions) involving Chern-Simons forms and antisymmetric tensors are sketched out. The relevance of the three-form multiplet both for the description of Chern-Simons forms and the supersymmetry properties of the gaugino condensate is pointed out.
| 11.517406
| 7.60249
| 10.013547
| 8.514589
| 8.646813
| 8.231744
| 9.519993
| 8.23927
| 8.053375
| 9.434524
| 9.148114
| 8.589454
| 9.860593
| 8.79503
| 8.744758
| 8.64945
| 8.731589
| 9.156526
| 8.948343
| 9.939409
| 8.790702
|
hep-th/0512251
|
Konstadinos Sfetsos
|
P.Marios Petropoulos and Konstadinos Sfetsos
|
NS5-branes on an ellipsis and novel marginal deformations with
parafermions
|
24 pages
|
JHEP0601:167,2006
|
10.1088/1126-6708/2006/01/167
| null |
hep-th
| null |
We consider NS5-branes distributed along the circumference of an ellipsis and
explicitly construct the corresponding gravitational background. This provides
a continuous line of deformations between the limiting cases, considered
before, in which the ellipsis degenerates into a circle or into a bar. We show
that a slight deformation of the background corresponding to a circle
distribution into an ellipsoidal one is described by a novel non-factorizable
marginal perturbation of bilinears of dressed parafermions. The latter are
naturally defined for the circle case since, as it was shown in the past, the
background corresponds to an orbifold of the exact conformal field theory coset
model SU(2)/U(1) times SL(2,R)/U(1). We explore the possibility to define
parafermionic objects at generic points of the ellipsoidal families of
backgrounds away from the circle point. We also discuss a new limiting case in
which the ellipsis degenerates into two infinitely stretched parallel bars and
show that the background is related to the Eguchi-Hanson metric, via T-duality.
|
[
{
"created": "Tue, 20 Dec 2005 13:26:03 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Petropoulos",
"P. Marios",
""
],
[
"Sfetsos",
"Konstadinos",
""
]
] |
We consider NS5-branes distributed along the circumference of an ellipsis and explicitly construct the corresponding gravitational background. This provides a continuous line of deformations between the limiting cases, considered before, in which the ellipsis degenerates into a circle or into a bar. We show that a slight deformation of the background corresponding to a circle distribution into an ellipsoidal one is described by a novel non-factorizable marginal perturbation of bilinears of dressed parafermions. The latter are naturally defined for the circle case since, as it was shown in the past, the background corresponds to an orbifold of the exact conformal field theory coset model SU(2)/U(1) times SL(2,R)/U(1). We explore the possibility to define parafermionic objects at generic points of the ellipsoidal families of backgrounds away from the circle point. We also discuss a new limiting case in which the ellipsis degenerates into two infinitely stretched parallel bars and show that the background is related to the Eguchi-Hanson metric, via T-duality.
| 10.551582
| 11.181076
| 11.173529
| 10.200107
| 10.795187
| 11.569705
| 11.277608
| 10.316018
| 10.107599
| 12.566553
| 10.115026
| 10.144235
| 10.568459
| 10.000756
| 9.913823
| 10.124424
| 10.266369
| 9.802136
| 9.725694
| 10.505096
| 10.238955
|
hep-th/9910223
|
Heinrich Saller
|
Heinrich Saller (MPI fuer Physik, Werner-Heisenberg-Institut,
Muenchen)
|
Duality Induced Reflections and CPT
|
18 pages, latex, macros included
|
Int.J.Theor.Phys. 39 (2000) 321-340
| null |
MPI-PhT/99-51
|
hep-th
| null |
The linear particle-antiparticle conjugation $\ty C$ and position space
reflection $\ty P$ as well as the antilinear time reflection $\ty T$ are shown
to be inducable by the selfduality of representations for the operation groups
$\SU(2)$, $\SL(\C^2)$ and $\R$ for spin, Lorentz transformations and time
translations resp. The definition of a colour compatible linear
$\ty{CP}$-reflection for quarks as selfduality induced is impossible since
triplet and antitriplet $\SU(3)$-representations are not linearly equivalent.
|
[
{
"created": "Thu, 28 Oct 1999 09:23:45 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Saller",
"Heinrich",
"",
"MPI fuer Physik, Werner-Heisenberg-Institut,\n Muenchen"
]
] |
The linear particle-antiparticle conjugation $\ty C$ and position space reflection $\ty P$ as well as the antilinear time reflection $\ty T$ are shown to be inducable by the selfduality of representations for the operation groups $\SU(2)$, $\SL(\C^2)$ and $\R$ for spin, Lorentz transformations and time translations resp. The definition of a colour compatible linear $\ty{CP}$-reflection for quarks as selfduality induced is impossible since triplet and antitriplet $\SU(3)$-representations are not linearly equivalent.
| 15.702661
| 15.775949
| 17.354464
| 15.898198
| 16.232639
| 16.033991
| 16.464607
| 16.093973
| 14.371108
| 17.045801
| 13.941966
| 14.336912
| 15.344173
| 14.622308
| 14.816828
| 14.538201
| 14.682695
| 14.701554
| 15.006647
| 14.714905
| 14.370563
|
hep-th/9405081
|
Hugo Compean
|
H. Garcia-Compean, J.F. Plebanski, M. Przanowski
|
On Self-dual Gravity Structures on Ground Ring Manifolds in
Two-Dimensional String Theory
|
17+1 pages, TeX, no figures, corrected ps version
|
Rev.Mex.Fis.40:547,1994
| null |
CINVESTAV-PHYS 06/94
|
hep-th
| null |
We generalize the geometric structures generated by Witten's ground ring. It
is shown that these generalized structures involve in a natural way some
geometric constructions from Self-dual gravity [1,12]. The formal twistor
construction on full quantum ground ring manifold is also given.
|
[
{
"created": "Thu, 12 May 1994 16:15:39 GMT",
"version": "v1"
},
{
"created": "Fri, 31 Aug 2001 01:40:52 GMT",
"version": "v2"
}
] |
2011-10-11
|
[
[
"Garcia-Compean",
"H.",
""
],
[
"Plebanski",
"J. F.",
""
],
[
"Przanowski",
"M.",
""
]
] |
We generalize the geometric structures generated by Witten's ground ring. It is shown that these generalized structures involve in a natural way some geometric constructions from Self-dual gravity [1,12]. The formal twistor construction on full quantum ground ring manifold is also given.
| 39.8381
| 33.714489
| 46.032169
| 33.814751
| 37.66674
| 39.746822
| 39.358089
| 39.199715
| 34.101894
| 58.193581
| 36.164509
| 34.57515
| 38.068378
| 33.352844
| 33.557301
| 33.523792
| 35.144077
| 35.831966
| 34.5228
| 40.680447
| 32.819633
|
hep-th/0605014
|
Mark Hindmarsh
|
Mark Hindmarsh and P.M. Saffin
|
Scaling in a SU(2)/Z_3 model of cosmic superstring networks
|
12pp, 3 figs
|
JHEP0608:066,2006
|
10.1088/1126-6708/2006/08/066
| null |
hep-th
| null |
Motivated by recent developments in superstring theory in the cosmological
context, we examine a field theory which contains string networks with 3-way
junctions. We perform numerical simulations of this model, identify the length
scales of the network that forms, and provide evidence that the length scales
tend towards a scaling regime, growing in proportion to time. We infer that the
presence of junctions does not in itself cause a superstring network to
dominate the energy density of the early Universe.
|
[
{
"created": "Mon, 1 May 2006 15:09:50 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Hindmarsh",
"Mark",
""
],
[
"Saffin",
"P. M.",
""
]
] |
Motivated by recent developments in superstring theory in the cosmological context, we examine a field theory which contains string networks with 3-way junctions. We perform numerical simulations of this model, identify the length scales of the network that forms, and provide evidence that the length scales tend towards a scaling regime, growing in proportion to time. We infer that the presence of junctions does not in itself cause a superstring network to dominate the energy density of the early Universe.
| 13.148025
| 13.162995
| 11.778055
| 12.128963
| 12.629421
| 13.145092
| 13.290994
| 12.765765
| 12.508733
| 11.736658
| 12.378327
| 13.132721
| 12.420616
| 12.603501
| 12.496854
| 12.826201
| 12.604527
| 12.70858
| 12.802338
| 13.071738
| 12.273199
|
2312.04206
|
Tomoki Nosaka
|
Sanefumi Moriyama, Tomoki Nosaka
|
Affine Symmetries for ABJM Partition Function and its Generalization
|
37 pages, 5 pdf figures; v2: figure 5 added, published version
| null | null |
NITEP 191, OCU-PHYS 587
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Partially motivated by the fact that the grand partition function of the ABJM
theory or its generalization is expressed by a spectral operator enjoying
symmetries of the Weyl group, it was found that the grand partition function
satisfies the q-Painleve equation, which is constructed from the affine Weyl
group. In this paper we clarify the affine symmetries of the grand partition
function. With the affine symmetries, we find that the grand partition function
extends naturally outside the fundamental domain of duality cascades and once
the Painleve equation holds in the fundamental domain, so does it outside.
|
[
{
"created": "Thu, 7 Dec 2023 10:47:06 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Jul 2024 04:54:49 GMT",
"version": "v2"
}
] |
2024-07-24
|
[
[
"Moriyama",
"Sanefumi",
""
],
[
"Nosaka",
"Tomoki",
""
]
] |
Partially motivated by the fact that the grand partition function of the ABJM theory or its generalization is expressed by a spectral operator enjoying symmetries of the Weyl group, it was found that the grand partition function satisfies the q-Painleve equation, which is constructed from the affine Weyl group. In this paper we clarify the affine symmetries of the grand partition function. With the affine symmetries, we find that the grand partition function extends naturally outside the fundamental domain of duality cascades and once the Painleve equation holds in the fundamental domain, so does it outside.
| 10.366015
| 10.63426
| 12.623187
| 9.872795
| 10.969882
| 10.633431
| 9.824343
| 10.002997
| 10.770212
| 11.406139
| 10.019983
| 10.031237
| 10.993433
| 10.418204
| 10.39312
| 10.317445
| 10.110939
| 10.48163
| 10.202485
| 10.787504
| 9.709925
|
2404.03069
|
Victor Mishnyakov
|
V.Mishnyakov, A.Morozov, M.Reva, P.Suprun
|
From equations in coordinate space to Picard-Fuchs and back
| null | null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We continue the development of a position space approach to equations for
Feynman multi-loop integrals. The key idea of the approach is that unintegrated
products of Greens functions in position space are still loop integral in
momentum space. The natural place to start are the famous banana diagrams,
which we explore in this paper. In position space, these are just products of
$n$ propagators. Firstly, we explain that these functions satisfy an equation
of order $2^n$. These should be compared with Picard-Fuchs equations derived
for the momentum space integral. We find that the Fourier transform of the
position space operator contains the Picard-Fuchs one as a rightmost factor.
The order of these operators is a special issue, especially since the order in
momentum space is governed by degree in $x$ in position space. For the generic
mass case this factorization pattern is complicated and it seems like the order
of the Fourier transformed position space operators is much bigger than that of
the Picard-Fuchs. Furthermore, one may ask what happens if after factorization
we take the Picard-Fuchs operators back into position space. We discover that
the result is again factorized, with the rightmost factor being the original
position space equation. We demonstrate how this works in examples and discuss
implications for more sophisticated Feynman integrals.
|
[
{
"created": "Wed, 3 Apr 2024 21:17:25 GMT",
"version": "v1"
}
] |
2024-04-05
|
[
[
"Mishnyakov",
"V.",
""
],
[
"Morozov",
"A.",
""
],
[
"Reva",
"M.",
""
],
[
"Suprun",
"P.",
""
]
] |
We continue the development of a position space approach to equations for Feynman multi-loop integrals. The key idea of the approach is that unintegrated products of Greens functions in position space are still loop integral in momentum space. The natural place to start are the famous banana diagrams, which we explore in this paper. In position space, these are just products of $n$ propagators. Firstly, we explain that these functions satisfy an equation of order $2^n$. These should be compared with Picard-Fuchs equations derived for the momentum space integral. We find that the Fourier transform of the position space operator contains the Picard-Fuchs one as a rightmost factor. The order of these operators is a special issue, especially since the order in momentum space is governed by degree in $x$ in position space. For the generic mass case this factorization pattern is complicated and it seems like the order of the Fourier transformed position space operators is much bigger than that of the Picard-Fuchs. Furthermore, one may ask what happens if after factorization we take the Picard-Fuchs operators back into position space. We discover that the result is again factorized, with the rightmost factor being the original position space equation. We demonstrate how this works in examples and discuss implications for more sophisticated Feynman integrals.
| 12.369102
| 12.418247
| 13.242041
| 11.627531
| 13.599724
| 12.631848
| 13.611963
| 12.813228
| 12.149529
| 13.378201
| 11.653463
| 11.614733
| 12.493455
| 12.100386
| 12.12924
| 12.196077
| 12.4209
| 11.940997
| 12.116878
| 12.930643
| 11.967823
|
1510.03291
|
Leonardo Ospedal
|
P.C. Malta, L.P.R. Ospedal, K. Veiga and J.A. Helay\"el-Neto
|
Comparative aspects of spin-dependent interaction potentials for
spin-1/2 and spin-1 matter fields
|
In this version (v5), a Corrigendum has been added after the
published paper
|
Adv.High Energy Phys. 2016 (2016) 2531436
|
10.1155/2016/2531436
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper sets out to establish a comparative study between classes of spin-
and velocity-dependent potentials for spin-1/2 and spin-1 matter
currents/sources in the non-relativistic regime. Both (neutral massive) scalar
and vector particles are considered to mediate the interactions between
(pseudo-)scalar sources or (pseudo-)vector currents. Though our discussion is
more general, we contemplate specific cases in which our results may describe
the electromagnetic interaction with a massive (Proca-type) photon exchanged
between two spin-1/2 or two spin-1 carriers. We highlight the similarities and
peculiarities of the potentials for the two different types of charged matter
and also focus our attention on the comparison between the particular aspects
of two different field representations for spin-1 matter particles. We believe
that our results may contribute to a further discussion of the relation between
charge, spin and extensibility of elementary particles.
|
[
{
"created": "Mon, 12 Oct 2015 14:11:53 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Dec 2015 10:24:42 GMT",
"version": "v2"
},
{
"created": "Tue, 2 Feb 2016 12:59:51 GMT",
"version": "v3"
},
{
"created": "Thu, 9 Jun 2016 19:22:27 GMT",
"version": "v4"
},
{
"created": "Sat, 31 Dec 2016 15:59:46 GMT",
"version": "v5"
}
] |
2017-01-03
|
[
[
"Malta",
"P. C.",
""
],
[
"Ospedal",
"L. P. R.",
""
],
[
"Veiga",
"K.",
""
],
[
"Helayël-Neto",
"J. A.",
""
]
] |
This paper sets out to establish a comparative study between classes of spin- and velocity-dependent potentials for spin-1/2 and spin-1 matter currents/sources in the non-relativistic regime. Both (neutral massive) scalar and vector particles are considered to mediate the interactions between (pseudo-)scalar sources or (pseudo-)vector currents. Though our discussion is more general, we contemplate specific cases in which our results may describe the electromagnetic interaction with a massive (Proca-type) photon exchanged between two spin-1/2 or two spin-1 carriers. We highlight the similarities and peculiarities of the potentials for the two different types of charged matter and also focus our attention on the comparison between the particular aspects of two different field representations for spin-1 matter particles. We believe that our results may contribute to a further discussion of the relation between charge, spin and extensibility of elementary particles.
| 14.257238
| 16.53356
| 15.327935
| 14.479935
| 15.515742
| 14.825245
| 13.802106
| 15.448551
| 14.811311
| 15.641719
| 14.211698
| 14.298577
| 14.576581
| 14.156307
| 13.9736
| 14.344855
| 14.125984
| 14.326519
| 14.328162
| 14.753451
| 14.249069
|
hep-th/9701160
|
Carlos Naon
|
M.V.Man\'ias, C.M. Na\'on and M.L.Trobo
|
Path-integral fermion-boson decoupling at finite temperature
|
12 pages, latex, no figures
|
Phys.Lett. B416 (1998) 157-162
|
10.1016/S0370-2693(97)01293-8
|
La Plata 97-01
|
hep-th
| null |
We show how to extend the standard functional approach to bosonisation, based
on a decoupling change of path-integral variables, to the case in which a
finite temperature is considered. As examples, in order to both illustrate and
check the procedure, we derive the thermodynamical partition functions for the
Thirring and Schwinger models.
|
[
{
"created": "Tue, 28 Jan 1997 15:04:49 GMT",
"version": "v1"
}
] |
2016-08-15
|
[
[
"Manías",
"M. V.",
""
],
[
"Naón",
"C. M.",
""
],
[
"Trobo",
"M. L.",
""
]
] |
We show how to extend the standard functional approach to bosonisation, based on a decoupling change of path-integral variables, to the case in which a finite temperature is considered. As examples, in order to both illustrate and check the procedure, we derive the thermodynamical partition functions for the Thirring and Schwinger models.
| 11.414798
| 8.932973
| 10.187316
| 8.807792
| 8.793538
| 8.436805
| 9.036361
| 8.94434
| 8.375314
| 11.419557
| 8.587873
| 9.029114
| 10.626822
| 9.4295
| 9.825595
| 9.664963
| 9.325071
| 9.145776
| 9.770442
| 10.307103
| 9.234349
|
hep-th/0410281
|
Filipe Paccetti Correia
|
Filipe Paccetti Correia, Michael G. Schmidt, Zurab Tavartkiladze
|
(BPS) Fayet-Iliopoulos Terms in 5D Orbifold SUGRA
|
LaTeX, 11 pages, 2 figures, extended discussion after (25) and (49),
version published in PLB
|
Phys.Lett. B613 (2005) 83-90
|
10.1016/j.physletb.2005.03.002
|
CERN-PH-TH/2004-211 and HD-THEP-04-42
|
hep-th hep-ph
| null |
We discuss Fayet-Iliopoulos terms in the context of five-dimensional
supergravity compactified on an orbifold. For this purpose we use our
superfield formulation of the off-shell 5D SUGRA. In the case of tuned FI
terms, contrary to other claims, we find BPS solutions which ensure that N=1
supersymmetry is unbroken also in warped geometries. As in the rigid case, the
FI terms induce odd masses for charged hypermultiplets, leading to the
(de)localisation of the KK wave-functions near the fix-point branes. In the
case of ungauged U(1)_R symmetry, we present also supersymmetric warped
solutions in the presence of non-trivial profiles of charged hyperscalars.
|
[
{
"created": "Thu, 28 Oct 2004 17:51:37 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Apr 2005 16:22:24 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Correia",
"Filipe Paccetti",
""
],
[
"Schmidt",
"Michael G.",
""
],
[
"Tavartkiladze",
"Zurab",
""
]
] |
We discuss Fayet-Iliopoulos terms in the context of five-dimensional supergravity compactified on an orbifold. For this purpose we use our superfield formulation of the off-shell 5D SUGRA. In the case of tuned FI terms, contrary to other claims, we find BPS solutions which ensure that N=1 supersymmetry is unbroken also in warped geometries. As in the rigid case, the FI terms induce odd masses for charged hypermultiplets, leading to the (de)localisation of the KK wave-functions near the fix-point branes. In the case of ungauged U(1)_R symmetry, we present also supersymmetric warped solutions in the presence of non-trivial profiles of charged hyperscalars.
| 10.938213
| 10.454727
| 10.633962
| 9.917551
| 10.258933
| 10.211375
| 10.387995
| 10.01751
| 10.069859
| 12.101019
| 10.105652
| 10.162886
| 10.345417
| 9.830006
| 9.992152
| 10.339878
| 10.25772
| 10.509791
| 9.993663
| 10.364928
| 10.398777
|
hep-th/9706161
|
Paul Fendley
|
Paul Fendley
|
Excited-state energies and supersymmetric indices
|
20 pages, 6 figures, amslatex. Revision adds appendix describing
analogous calculation for a free Dirac fermion. To appear in Advances in
Theoretical and Mathematical Physics
| null | null | null |
hep-th
| null |
We study multi-soliton states in two-dimensional N=2 supersymmetric theories.
We calculate their energy exactly as a function of mass and volume in the
simplest integrable N=2 theory, the sine-Gordon model at a particular coupling.
These energies are related to the expectation value $I= tr [\exp(in\pi F)
\exp(-H/T)]$, where F is the fermion number. For n=1, this is Witten's index;
for n an odd integer, we argue that $I$ is an index in the sense that it is
independent of all D-term variations.
|
[
{
"created": "Tue, 24 Jun 1997 01:54:03 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Sep 1997 21:27:27 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Fendley",
"Paul",
""
]
] |
We study multi-soliton states in two-dimensional N=2 supersymmetric theories. We calculate their energy exactly as a function of mass and volume in the simplest integrable N=2 theory, the sine-Gordon model at a particular coupling. These energies are related to the expectation value $I= tr [\exp(in\pi F) \exp(-H/T)]$, where F is the fermion number. For n=1, this is Witten's index; for n an odd integer, we argue that $I$ is an index in the sense that it is independent of all D-term variations.
| 11.695473
| 12.542921
| 15.690887
| 10.823225
| 13.697329
| 14.552673
| 13.268176
| 11.392799
| 11.663609
| 15.123689
| 11.829443
| 11.288898
| 13.288086
| 10.576098
| 10.948637
| 11.579929
| 11.22963
| 11.171609
| 11.527201
| 12.780328
| 10.917729
|
1805.00399
|
Dana Stanley Fine
|
Dana S. Fine and Stephen F. Sawin
|
Rigorous path integrals for supersymmetric quantum mechanics: completing
the path integral proof of the index theorem
|
28 pages, see also arXiv:1605.06982v2 which gives more technical
detail, but less physics overview
| null | null | null |
hep-th math-ph math.DG math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Many introductory courses in quantum mechanics include Feynman's time-slicing
definition of the path integral, with a complete derivation of the propagator
in the simplest of cases. However, attempts to generalize this, for instance to
non-quadratic potentials, encounter formidable analytic issues in showing the
successive approximations in fact converge to a definite expression for the
path integral. The present work describes how to carry out the analysis for a
class of Lagrangians broad enough to include the evolution, in imaginary time,
of spinors constrained to live on a Riemannian manifold. For these Lagrangians,
the successive time-slicing approximations converge. The limit provides a
definition of the path integral which agrees with the imaginary-time Feynman
propagator. With this as the definition, the steepest-descent approximation to
the path integral for twisted $N=1/2$ supersymmetric quantum mechanics is
provably correct. These results complete a new proof of the Atiyah-Singer index
theorem for the twisted Dirac operator.
|
[
{
"created": "Tue, 1 May 2018 15:32:09 GMT",
"version": "v1"
}
] |
2018-05-02
|
[
[
"Fine",
"Dana S.",
""
],
[
"Sawin",
"Stephen F.",
""
]
] |
Many introductory courses in quantum mechanics include Feynman's time-slicing definition of the path integral, with a complete derivation of the propagator in the simplest of cases. However, attempts to generalize this, for instance to non-quadratic potentials, encounter formidable analytic issues in showing the successive approximations in fact converge to a definite expression for the path integral. The present work describes how to carry out the analysis for a class of Lagrangians broad enough to include the evolution, in imaginary time, of spinors constrained to live on a Riemannian manifold. For these Lagrangians, the successive time-slicing approximations converge. The limit provides a definition of the path integral which agrees with the imaginary-time Feynman propagator. With this as the definition, the steepest-descent approximation to the path integral for twisted $N=1/2$ supersymmetric quantum mechanics is provably correct. These results complete a new proof of the Atiyah-Singer index theorem for the twisted Dirac operator.
| 9.115236
| 9.595673
| 10.282318
| 8.695266
| 10.294205
| 10.270925
| 10.000479
| 8.864834
| 9.393159
| 10.250408
| 9.186284
| 8.49405
| 8.813102
| 8.563905
| 8.608625
| 8.689958
| 8.653633
| 8.69188
| 8.636449
| 9.018869
| 8.460198
|
2209.04296
|
Yuan-Tai Wang
|
Yuan-Tai Wang and Wen-Bin Pan
|
Pole-skipping of Holographic Correlators: Aspects of Gauge Symmetry and
Generalizations
|
23 pages; typos and errors are fixed
| null |
10.1007/JHEP01(2023)174
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the framework of anti-de Sitter space/conformal field theory (AdS/CFT), we
study the pole-skipping phenomenon of the holographic correlators of boundary
operators. We explore the locations of the pole-skipping points case by case
with the models of $U(1)$-gauged form fields propagating in the asymptotic AdS
bulk of finite temperature. In general, in different cases all the first-order
points are located at the Matsubara frequency with corresponding wave vectors
regularly dispersed in the momentum space. Specifically, in the massless cases
with $U(1)$ symmetry, the wave vectors of the pole-skipping points have a
form-number dependence, and a trans-mode equivalence in the dual fields is
found in correspondence with electromagnetic duality. In the massive cases with
explicit symmetry breaking, we find that the appearance of a non-zero mass
yields extra pole-skipping points which reduce to the massless results in zero
mass limit. We expect in such kind of pole-skipping properties implications of
distinctive physics in the chaotic systems. Our near-horizon computation is
verified with the double-trace method especially in the example of 2-form where
there is dimension-dependent boundary divergence. We illustrate in these cases
that the pole-skipping properties of the holographic correlators are determined
by the IR physics, consistent with the ordinary cases in previous studies.
|
[
{
"created": "Fri, 9 Sep 2022 13:43:36 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Apr 2023 13:13:57 GMT",
"version": "v2"
}
] |
2023-04-18
|
[
[
"Wang",
"Yuan-Tai",
""
],
[
"Pan",
"Wen-Bin",
""
]
] |
In the framework of anti-de Sitter space/conformal field theory (AdS/CFT), we study the pole-skipping phenomenon of the holographic correlators of boundary operators. We explore the locations of the pole-skipping points case by case with the models of $U(1)$-gauged form fields propagating in the asymptotic AdS bulk of finite temperature. In general, in different cases all the first-order points are located at the Matsubara frequency with corresponding wave vectors regularly dispersed in the momentum space. Specifically, in the massless cases with $U(1)$ symmetry, the wave vectors of the pole-skipping points have a form-number dependence, and a trans-mode equivalence in the dual fields is found in correspondence with electromagnetic duality. In the massive cases with explicit symmetry breaking, we find that the appearance of a non-zero mass yields extra pole-skipping points which reduce to the massless results in zero mass limit. We expect in such kind of pole-skipping properties implications of distinctive physics in the chaotic systems. Our near-horizon computation is verified with the double-trace method especially in the example of 2-form where there is dimension-dependent boundary divergence. We illustrate in these cases that the pole-skipping properties of the holographic correlators are determined by the IR physics, consistent with the ordinary cases in previous studies.
| 15.818586
| 15.370987
| 15.809515
| 14.153882
| 15.289553
| 15.23562
| 15.284173
| 14.348328
| 13.963799
| 17.109076
| 13.951579
| 14.576766
| 14.95919
| 14.423822
| 14.962592
| 14.924496
| 14.543471
| 14.646019
| 14.18723
| 14.962104
| 14.249616
|
2407.11849
|
Carlos Mafra
|
Carlos R. Mafra
|
Towards massive field-theory amplitudes from the cohomology of pure
spinor superspace
|
14 pages. Compile with xetex to obtain correct offsets for hyperlink
pointers
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
By analogy with the formula for the massless string disk amplitudes, we
define massive field-theory tree amplitudes and conjecture that the BRST
cohomology structure of pure spinor superspace fixes their form. We give
evidence by deriving the pure spinor superspace expression of the massive
field-theory n-point tree amplitude with one first-level massive and n-1
massless states in two ways: 1) from BRST cohomology arguments in pure spinor
superspace and 2) from the ${\alpha^\prime}^2$ correction to the massless
string amplitudes by inverting the unitarity constraint in superspace.
|
[
{
"created": "Tue, 16 Jul 2024 15:30:09 GMT",
"version": "v1"
}
] |
2024-07-17
|
[
[
"Mafra",
"Carlos R.",
""
]
] |
By analogy with the formula for the massless string disk amplitudes, we define massive field-theory tree amplitudes and conjecture that the BRST cohomology structure of pure spinor superspace fixes their form. We give evidence by deriving the pure spinor superspace expression of the massive field-theory n-point tree amplitude with one first-level massive and n-1 massless states in two ways: 1) from BRST cohomology arguments in pure spinor superspace and 2) from the ${\alpha^\prime}^2$ correction to the massless string amplitudes by inverting the unitarity constraint in superspace.
| 9.654976
| 9.814837
| 11.029527
| 8.96689
| 9.762597
| 9.303827
| 9.052859
| 8.88297
| 9.582133
| 11.685431
| 8.312617
| 8.94728
| 9.532945
| 8.515504
| 8.948933
| 9.251622
| 8.655509
| 8.670719
| 9.130736
| 9.547799
| 8.87328
|
0909.1879
|
Toshiya Kawai
|
Toshiya Kawai
|
Twisted Elliptic Genera of N=2 SCFTs in Two Dimensions
|
28 pages; v2 refs added
| null |
10.1088/1751-8113/45/39/395401
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The elliptic genera of two-dimensional N=2 superconformal field theories can
be twisted by the action of the integral Heisenberg group if their U(1) charges
are fractional. The basic properties of the resulting twisted elliptic genera
and the associated twisted Witten indices are investigated with due attention
to their behaviors in orbifoldization. Our findings are illustrated by and
applied to several concrete examples. We give a better understanding of the
duality phenomenon observed long before for certain Landau-Ginzburg models. We
revisit and prove an old conjecture of Witten which states that every ADE
Landau-Ginzburg model and the corresponding minimal model share the same
elliptic genus. Mathematically, we establish ADE generalizations of the
quintuple product identity.
|
[
{
"created": "Thu, 10 Sep 2009 07:44:25 GMT",
"version": "v1"
},
{
"created": "Sat, 12 Sep 2009 07:00:47 GMT",
"version": "v2"
}
] |
2015-05-14
|
[
[
"Kawai",
"Toshiya",
""
]
] |
The elliptic genera of two-dimensional N=2 superconformal field theories can be twisted by the action of the integral Heisenberg group if their U(1) charges are fractional. The basic properties of the resulting twisted elliptic genera and the associated twisted Witten indices are investigated with due attention to their behaviors in orbifoldization. Our findings are illustrated by and applied to several concrete examples. We give a better understanding of the duality phenomenon observed long before for certain Landau-Ginzburg models. We revisit and prove an old conjecture of Witten which states that every ADE Landau-Ginzburg model and the corresponding minimal model share the same elliptic genus. Mathematically, we establish ADE generalizations of the quintuple product identity.
| 10.508609
| 10.960052
| 11.987962
| 9.443543
| 10.148052
| 10.386534
| 10.856515
| 10.780457
| 10.469994
| 13.880899
| 10.374036
| 9.893724
| 11.470458
| 10.149304
| 10.024518
| 9.710453
| 10.021532
| 9.988639
| 10.017921
| 11.389806
| 9.971602
|
hep-th/0501012
|
Shesansu Pal
|
Shesansu Pal
|
A new Ricci flat geometry
|
7pp, Kahlerian behavior is mentioned in section 2, along with two
references and a note
|
Phys.Lett. B614 (2005) 201-206
|
10.1016/j.physletb.2005.03.077
| null |
hep-th
| null |
We are proposing a new Ricci flat metric constructed from an infinite family
of Sasaki-Einstein, $Y^{(p,q)}$, geometries. This geometry contains a free
parameter $s$ and in the $s\to 0$ limit we get back the usual CY. When this
geometry is probed both by a stack of D3 and fractional D3 branes then the
corresponding supergravity solution is found which is a warped product of this
new 6-dimensional geometry and the flat $R^{3,1}$. This solution in the
specific limit as mentioned above reproduces the solution found in
hep-th/0412193. The integrated five-form field strength over $S^2\times S^3$
goes logarithmically but the argument of Log function is different than has
been found before.
|
[
{
"created": "Mon, 3 Jan 2005 20:19:17 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Jan 2005 17:33:56 GMT",
"version": "v2"
}
] |
2010-04-05
|
[
[
"Pal",
"Shesansu",
""
]
] |
We are proposing a new Ricci flat metric constructed from an infinite family of Sasaki-Einstein, $Y^{(p,q)}$, geometries. This geometry contains a free parameter $s$ and in the $s\to 0$ limit we get back the usual CY. When this geometry is probed both by a stack of D3 and fractional D3 branes then the corresponding supergravity solution is found which is a warped product of this new 6-dimensional geometry and the flat $R^{3,1}$. This solution in the specific limit as mentioned above reproduces the solution found in hep-th/0412193. The integrated five-form field strength over $S^2\times S^3$ goes logarithmically but the argument of Log function is different than has been found before.
| 11.982792
| 11.313493
| 12.947992
| 10.684051
| 11.266428
| 11.120204
| 11.126874
| 10.903461
| 11.000937
| 13.602935
| 10.547559
| 10.418428
| 11.477921
| 10.422078
| 10.385214
| 10.331318
| 10.380271
| 10.84141
| 10.225023
| 11.851428
| 10.579722
|
hep-th/0306060
|
Victor Red'kov
|
V.M. Red'kov
|
Monopole BPS-Solutions of the Yang-Mills Equations in Space of Euclid,
Riemann, and Lobachevski
|
7 pages
| null | null | null |
hep-th
| null |
Procedure of finding of the Bogomolny-Prasad-Sommerfield monopole solutions
in the Georgi-Glashow model is investigated in detail on the backgrounds of
three space models of constant curvature: Euclid, Riemann, Lobachevski's.
Classification of possible solutions is given. It is shown that among all
solutions there exist just three ones which reasonably and in a one-to-one
correspondence can be associated with respective geometries. It is pointed out
that the known non-singular BPS-solution in the flat Minkowski space can be
understood as a result of somewhat artificial combining the Minkowski space
background with a possibility naturally linked up with the Lobachewski
geometry. The standpoint is brought forth that of primary interest should be
regarded only three specifically distinctive solutions -- one for every curved
space background. In the framework of those arguments the generally accepted
status of the known monopole BPS-solution should be critically reconsidered and
even might be given away.
|
[
{
"created": "Sat, 7 Jun 2003 07:40:16 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Red'kov",
"V. M.",
""
]
] |
Procedure of finding of the Bogomolny-Prasad-Sommerfield monopole solutions in the Georgi-Glashow model is investigated in detail on the backgrounds of three space models of constant curvature: Euclid, Riemann, Lobachevski's. Classification of possible solutions is given. It is shown that among all solutions there exist just three ones which reasonably and in a one-to-one correspondence can be associated with respective geometries. It is pointed out that the known non-singular BPS-solution in the flat Minkowski space can be understood as a result of somewhat artificial combining the Minkowski space background with a possibility naturally linked up with the Lobachewski geometry. The standpoint is brought forth that of primary interest should be regarded only three specifically distinctive solutions -- one for every curved space background. In the framework of those arguments the generally accepted status of the known monopole BPS-solution should be critically reconsidered and even might be given away.
| 15.294029
| 15.32507
| 16.297878
| 14.529587
| 16.747633
| 15.612854
| 16.656307
| 14.656359
| 15.615836
| 15.844436
| 14.82256
| 14.662447
| 14.331681
| 14.029757
| 14.155913
| 14.335634
| 13.820392
| 14.136935
| 14.623608
| 14.977445
| 14.742344
|
0708.0022
|
Jeff Jones
|
T. Banks, S. Echols, J. L. Jones
|
Embedding the Pentagon
|
39 pages
|
JHEP 0710:105,2007
|
10.1088/1126-6708/2007/10/105
|
scipp-07/13
|
hep-th hep-ph
| null |
The Pentagon Model is an explicit supersymmetric extension of the Standard
Model, which involves a new strongly-interacting SU(5) gauge theory at
TeV-scale energies. We show that the Pentagon can be embedded into an SU(5) x
SU(5) x SU(5) gauge group at the GUT scale. The doublet-triplet splitting
problem, and proton decay compatible with experimental bounds, can be
successfully addressed in this context. The simplest approach fails to provide
masses for the lighter two generations of quarks and leptons; however, this
problem can be solved by the addition of a pair of antisymmetric tensor fields
and an axion.
|
[
{
"created": "Tue, 31 Jul 2007 20:52:07 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Sep 2007 23:08:05 GMT",
"version": "v2"
}
] |
2009-11-18
|
[
[
"Banks",
"T.",
""
],
[
"Echols",
"S.",
""
],
[
"Jones",
"J. L.",
""
]
] |
The Pentagon Model is an explicit supersymmetric extension of the Standard Model, which involves a new strongly-interacting SU(5) gauge theory at TeV-scale energies. We show that the Pentagon can be embedded into an SU(5) x SU(5) x SU(5) gauge group at the GUT scale. The doublet-triplet splitting problem, and proton decay compatible with experimental bounds, can be successfully addressed in this context. The simplest approach fails to provide masses for the lighter two generations of quarks and leptons; however, this problem can be solved by the addition of a pair of antisymmetric tensor fields and an axion.
| 7.621255
| 6.520828
| 7.430636
| 6.454893
| 6.580568
| 6.34262
| 6.534278
| 6.337999
| 6.109857
| 7.468307
| 7.127567
| 7.243352
| 6.990365
| 6.886184
| 6.707025
| 7.153505
| 6.955736
| 7.046375
| 6.80548
| 6.995467
| 7.32988
|
1411.5627
|
Xiao Mei Kuang
|
Xiao-Mei Kuang, Eleftherios Papantonopoulos, Bin Wang, Jian-Pin Wu
|
Dynamically generated gap from holography in the charged black brane
with hyperscaling violation
|
17 pages,8 figures,version published in JHEP. arXiv admin note: text
overlap with arXiv:1409.2945
|
JHEP 04(2015)137
|
10.1007/JHEP04(2015)137
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We holographically investigate the effects of a dipole coupling between a
fermion field and a $U(1)$ gauge field on the dual fermionic sector in the
charged gravity bulk with hyperscaling violation. We analytically study the
features of the ultraviolet and infrared Green's functions of the dual
fermionic system and we show that as the dipole coupling and the hyperscaling
violation exponent are varied, the fluid possess Fermi, marginal Fermi,
non-Fermi liquid phases and also an additional Mott insulating phase. We find
that the increase of the hyperscaling violation exponent which effectively
reduces the dimensionality of the system makes it harder for the Mott gap to be
formed. We also show that the observed duality between zeros and poles in the
presence of a dipole moment coupling still persists in theories with
hyperscaling violation.
|
[
{
"created": "Thu, 20 Nov 2014 18:06:35 GMT",
"version": "v1"
},
{
"created": "Mon, 4 May 2015 08:50:22 GMT",
"version": "v2"
}
] |
2015-05-20
|
[
[
"Kuang",
"Xiao-Mei",
""
],
[
"Papantonopoulos",
"Eleftherios",
""
],
[
"Wang",
"Bin",
""
],
[
"Wu",
"Jian-Pin",
""
]
] |
We holographically investigate the effects of a dipole coupling between a fermion field and a $U(1)$ gauge field on the dual fermionic sector in the charged gravity bulk with hyperscaling violation. We analytically study the features of the ultraviolet and infrared Green's functions of the dual fermionic system and we show that as the dipole coupling and the hyperscaling violation exponent are varied, the fluid possess Fermi, marginal Fermi, non-Fermi liquid phases and also an additional Mott insulating phase. We find that the increase of the hyperscaling violation exponent which effectively reduces the dimensionality of the system makes it harder for the Mott gap to be formed. We also show that the observed duality between zeros and poles in the presence of a dipole moment coupling still persists in theories with hyperscaling violation.
| 9.165795
| 7.173552
| 9.307115
| 7.823301
| 7.694613
| 7.687053
| 8.013073
| 7.509161
| 7.140388
| 9.81457
| 7.307508
| 8.12429
| 8.487506
| 8.309318
| 8.312947
| 8.042617
| 8.049008
| 8.024442
| 8.135608
| 8.779911
| 8.000786
|
1709.09222
|
Nobuchika Okada
|
Anish Ghoshal, Anupam Mazumdar, Nobuchika Okada, Desmond Villalba
|
On the Stability of Infinite Derivative Abelian Higgs
|
7 pages, 2 figures, the version accepted for publication in Physical
Review D
|
Phys. Rev. D 97, 076011 (2018)
|
10.1103/PhysRevD.97.076011
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Motivated by the stringy effects by modifying the local kinetic term of an
Abelian Higgs field by the Gaussian kinetic term we show that the Higgs field
does not possess any instability, the Yukawa coupling between the scalar and
the fermion, the gauge coupling, and the self interaction of the Higgs yields
exponentially suppressed running at high energies, showing that such class of
theory never suffers from vacuum instability. We briefly discuss its
implications for the early Universe cosmology.
|
[
{
"created": "Tue, 26 Sep 2017 19:01:08 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Oct 2017 13:44:42 GMT",
"version": "v2"
},
{
"created": "Sat, 7 Apr 2018 22:16:38 GMT",
"version": "v3"
}
] |
2018-05-02
|
[
[
"Ghoshal",
"Anish",
""
],
[
"Mazumdar",
"Anupam",
""
],
[
"Okada",
"Nobuchika",
""
],
[
"Villalba",
"Desmond",
""
]
] |
Motivated by the stringy effects by modifying the local kinetic term of an Abelian Higgs field by the Gaussian kinetic term we show that the Higgs field does not possess any instability, the Yukawa coupling between the scalar and the fermion, the gauge coupling, and the self interaction of the Higgs yields exponentially suppressed running at high energies, showing that such class of theory never suffers from vacuum instability. We briefly discuss its implications for the early Universe cosmology.
| 17.178947
| 18.145676
| 17.374313
| 16.430855
| 16.788057
| 17.453817
| 18.5795
| 17.850115
| 16.708332
| 17.03093
| 16.066006
| 16.009682
| 15.764653
| 15.711934
| 16.050629
| 16.036415
| 15.753653
| 16.263138
| 15.493394
| 16.139122
| 15.356455
|
1909.09208
|
William Divine Linch III
|
Katrin Becker, Melanie Becker, Daniel Butter, William D. Linch III,
Stephen Randall
|
Five-dimensional Supergravity in N = 1/2 Superspace
|
Published version. Contains improvements over v1 including relation
to new-minimal supergravity and various formulations of off-shell 5D, N=1
supergravity
| null |
10.1007/JHEP03(2020)098
|
MI-TH-191
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct 5D, N = 1 supergravity in a 4D, N = 1 superspace with an extra
bosonic coordinate. This represents four of the supersymmetries and the
associated Poincar\'e symmetries manifestly. The remaining four supersymmetries
and the rest of the Poincar\'e symmetries are represented linearly but not
manifestly. In the linearized approximation, the action reduces to the known
superspace result. As an application of the formalism, we construct the $\int
A\wedge R\wedge R$ invariant in this superspace.
|
[
{
"created": "Thu, 19 Sep 2019 19:36:17 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Apr 2020 13:13:57 GMT",
"version": "v2"
}
] |
2020-04-22
|
[
[
"Becker",
"Katrin",
""
],
[
"Becker",
"Melanie",
""
],
[
"Butter",
"Daniel",
""
],
[
"Linch",
"William D.",
"III"
],
[
"Randall",
"Stephen",
""
]
] |
We construct 5D, N = 1 supergravity in a 4D, N = 1 superspace with an extra bosonic coordinate. This represents four of the supersymmetries and the associated Poincar\'e symmetries manifestly. The remaining four supersymmetries and the rest of the Poincar\'e symmetries are represented linearly but not manifestly. In the linearized approximation, the action reduces to the known superspace result. As an application of the formalism, we construct the $\int A\wedge R\wedge R$ invariant in this superspace.
| 6.645584
| 5.888641
| 7.416335
| 6.002926
| 6.17296
| 6.464814
| 6.122875
| 6.118771
| 6.159422
| 7.932953
| 5.968501
| 6.271108
| 6.849426
| 6.134113
| 6.163424
| 6.191479
| 6.101787
| 6.236724
| 6.047575
| 7.02624
| 6.15482
|
hep-th/0205225
|
Xin-zhou Li
|
Xin-zhou Li and Xiang-hua Zhai
|
Rigorous proof of attractive nature for Casimir force of p-odd hypercube
|
7 pages, no figure
|
J. Phys A: Math. Gen. 34 (2001)11053-11057
|
10.1088/0305-4470/34/49/320
| null |
hep-th
| null |
The Casimir effect giving rise to an attractive force between the
configuration boundaries that confine the massless scalar field is rigorously
proven for odd dimensional hypercube with the Dirichlet boundary conditions and
different spacetime dimensions D by the Epstein zeta function regularization.
|
[
{
"created": "Wed, 22 May 2002 04:19:38 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Li",
"Xin-zhou",
""
],
[
"Zhai",
"Xiang-hua",
""
]
] |
The Casimir effect giving rise to an attractive force between the configuration boundaries that confine the massless scalar field is rigorously proven for odd dimensional hypercube with the Dirichlet boundary conditions and different spacetime dimensions D by the Epstein zeta function regularization.
| 19.383957
| 15.985549
| 16.280634
| 17.702728
| 15.18307
| 15.983637
| 17.064127
| 14.472614
| 15.195717
| 20.217491
| 16.250656
| 15.816642
| 16.834049
| 15.564338
| 15.382975
| 16.195845
| 16.492617
| 15.611179
| 15.664323
| 16.738291
| 14.913391
|
2405.19409
|
Vivek Saxena
|
Vivek Saxena
|
A T-Duality of Non-Supersymmetric Heterotic Strings and an implication
for Topological Modular Forms
|
26 pages + appendices; references updated
| null | null | null |
hep-th math-ph math.AT math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
Motivated by recent developments connecting non-supersymmetric heterotic
string theory to the theory of Topological Modular Forms (TMF), we show that
the worldsheet theory with central charge $(17,\frac{3}{2})$ obtained by
fibering the $(E_8)_1 \times (E_8)_1$ current algebra over the
$\mathcal{N}=(0,1)$ sigma model on $S^{1}$ with antiperiodic spin structure
(such that the two $E_8$ factors are exchanged as we go around the circle), is
continuously connected to the $(E_8)_2$ theory in the
Gaiotto$-$Johnson-Freyd$-$Witten sense of going "up and down the RG
trajectories". Combined with the work of Tachikawa and Yamashita, this
furnishes a physical derivation of the fact that the $(E_8)_2$ theory
corresponds to the unique nontrivial torsion element $[(E_8)_2]$ of
$\mathsf{TMF}^{31}$ with zero mod-2 elliptic genus.
|
[
{
"created": "Wed, 29 May 2024 18:00:11 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Jun 2024 04:59:55 GMT",
"version": "v2"
}
] |
2024-06-11
|
[
[
"Saxena",
"Vivek",
""
]
] |
Motivated by recent developments connecting non-supersymmetric heterotic string theory to the theory of Topological Modular Forms (TMF), we show that the worldsheet theory with central charge $(17,\frac{3}{2})$ obtained by fibering the $(E_8)_1 \times (E_8)_1$ current algebra over the $\mathcal{N}=(0,1)$ sigma model on $S^{1}$ with antiperiodic spin structure (such that the two $E_8$ factors are exchanged as we go around the circle), is continuously connected to the $(E_8)_2$ theory in the Gaiotto$-$Johnson-Freyd$-$Witten sense of going "up and down the RG trajectories". Combined with the work of Tachikawa and Yamashita, this furnishes a physical derivation of the fact that the $(E_8)_2$ theory corresponds to the unique nontrivial torsion element $[(E_8)_2]$ of $\mathsf{TMF}^{31}$ with zero mod-2 elliptic genus.
| 8.288768
| 7.908125
| 10.16634
| 8.296278
| 8.584642
| 8.851366
| 8.993304
| 8.680008
| 8.248244
| 9.496177
| 7.984619
| 8.083162
| 8.724109
| 8.230231
| 8.128477
| 8.42428
| 8.214973
| 8.403257
| 8.064429
| 8.73029
| 8.067863
|
1808.05648
|
Oren Bergman Prof.
|
Eran Avraham and Oren Bergman
|
A note on D0-branes and instantons in 5d supersymmetric gauge theories
|
30 pages, 6 figures. Typos corrected
| null |
10.1007/JHEP11(2018)183
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We refine a previous proposal for obtaining the multi-instanton partition
function from the supersymmetric index of the 1d supersymmetric gauge theory on
the worldline of D0-branes. We provide examples where the refinements are
crucial for obtaining the correct result.
|
[
{
"created": "Thu, 16 Aug 2018 19:11:14 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Nov 2018 15:38:10 GMT",
"version": "v2"
}
] |
2018-12-26
|
[
[
"Avraham",
"Eran",
""
],
[
"Bergman",
"Oren",
""
]
] |
We refine a previous proposal for obtaining the multi-instanton partition function from the supersymmetric index of the 1d supersymmetric gauge theory on the worldline of D0-branes. We provide examples where the refinements are crucial for obtaining the correct result.
| 11.906713
| 9.579849
| 10.007198
| 8.539067
| 8.580131
| 8.677374
| 8.505138
| 8.431561
| 8.389929
| 11.049037
| 8.601147
| 9.365728
| 10.501195
| 9.360057
| 9.265167
| 9.696787
| 9.381231
| 9.79171
| 9.351623
| 9.960555
| 9.07148
|
1010.5240
|
Adam Brown
|
Adam R. Brown and Alex Dahlen
|
Bubbles of Nothing and the Fastest Decay in the Landscape
|
18 pages, 8 figures; v2: minor changes
|
Phys.Rev.D84:043518,2011
|
10.1103/PhysRevD.84.043518
|
PUPT-2357
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The rate and manner of vacuum decay are calculated in an explicit flux
compactification, including all thick-wall and gravitational effects. For
landscapes built of many units of a single flux, the fastest decay is usually
to discharge just one unit. By contrast, for landscapes built of a single unit
each of many different fluxes, the fastest decay is usually to discharge all
the flux at once, which destabilizes the radion and begets a bubble of nothing.
By constructing the bubble of nothing as the limit in which ever more flux is
removed, we gain new insight into the bubble's appearance. Finally, we describe
a new instanton that mediates simultaneous flux tunneling and
decompactification. Our model is the thin-brane approximation to
six-dimensional Einstein-Maxwell theory.
|
[
{
"created": "Mon, 25 Oct 2010 20:00:03 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Sep 2011 04:10:29 GMT",
"version": "v2"
}
] |
2011-09-26
|
[
[
"Brown",
"Adam R.",
""
],
[
"Dahlen",
"Alex",
""
]
] |
The rate and manner of vacuum decay are calculated in an explicit flux compactification, including all thick-wall and gravitational effects. For landscapes built of many units of a single flux, the fastest decay is usually to discharge just one unit. By contrast, for landscapes built of a single unit each of many different fluxes, the fastest decay is usually to discharge all the flux at once, which destabilizes the radion and begets a bubble of nothing. By constructing the bubble of nothing as the limit in which ever more flux is removed, we gain new insight into the bubble's appearance. Finally, we describe a new instanton that mediates simultaneous flux tunneling and decompactification. Our model is the thin-brane approximation to six-dimensional Einstein-Maxwell theory.
| 15.490882
| 13.443381
| 16.434385
| 14.081545
| 15.413446
| 14.029284
| 14.800961
| 14.662339
| 14.438325
| 16.763107
| 13.937559
| 14.123237
| 15.115214
| 14.057544
| 14.508689
| 14.674863
| 14.666884
| 14.807494
| 14.330713
| 14.285106
| 13.881935
|
1905.01319
|
Dalimil Mazac
|
Thomas Hartman, Dalimil Maz\'a\v{c}, Leonardo Rastelli
|
Sphere Packing and Quantum Gravity
|
70 pages, 7 figures
| null |
10.1007/JHEP12(2019)048
| null |
hep-th math.MG math.NT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We establish a precise relation between the modular bootstrap, used to
constrain the spectrum of 2D CFTs, and the sphere packing problem in Euclidean
geometry. The modular bootstrap bound for chiral algebra $U(1)^c$ maps exactly
to the Cohn-Elkies linear programming bound on the sphere packing density in
$d=2c$ dimensions. We also show that the analytic functionals developed earlier
for the correlator conformal bootstrap can be adapted to this context. For
$c=4$ and $c=12$, these functionals exactly reproduce the "magic functions"
used recently by Viazovska [1] and Cohn et al. [2] to solve the sphere packing
problem in dimensions 8 and 24. The same functionals are also applied to
general 2D CFTs, with only Virasoro symmetry. In the limit of large central
charge, we relate sphere packing to bounds on the black hole spectrum in 3D
quantum gravity, and prove analytically that any such theory must have a
nontrivial primary state of dimension $\Delta_0 \lesssim c/8.503$.
|
[
{
"created": "Fri, 3 May 2019 18:00:09 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Sep 2019 00:01:47 GMT",
"version": "v2"
}
] |
2020-01-29
|
[
[
"Hartman",
"Thomas",
""
],
[
"Mazáč",
"Dalimil",
""
],
[
"Rastelli",
"Leonardo",
""
]
] |
We establish a precise relation between the modular bootstrap, used to constrain the spectrum of 2D CFTs, and the sphere packing problem in Euclidean geometry. The modular bootstrap bound for chiral algebra $U(1)^c$ maps exactly to the Cohn-Elkies linear programming bound on the sphere packing density in $d=2c$ dimensions. We also show that the analytic functionals developed earlier for the correlator conformal bootstrap can be adapted to this context. For $c=4$ and $c=12$, these functionals exactly reproduce the "magic functions" used recently by Viazovska [1] and Cohn et al. [2] to solve the sphere packing problem in dimensions 8 and 24. The same functionals are also applied to general 2D CFTs, with only Virasoro symmetry. In the limit of large central charge, we relate sphere packing to bounds on the black hole spectrum in 3D quantum gravity, and prove analytically that any such theory must have a nontrivial primary state of dimension $\Delta_0 \lesssim c/8.503$.
| 6.902205
| 8.048751
| 8.575369
| 7.390335
| 7.598927
| 7.097306
| 7.080012
| 7.445454
| 7.354188
| 8.200035
| 7.333766
| 6.801238
| 6.873258
| 6.736413
| 6.733963
| 6.734365
| 6.560985
| 6.768919
| 6.669873
| 6.789848
| 6.620816
|
hep-th/0610024
|
Andrzej Wereszczynski
|
C. Adam, J. Sanchez-Guillen, A. Wereszczynski
|
New Integrable Sectors in Skyrme and 4-dimensional CP^n Model
|
23 pages
|
J.Phys.A40:1907,2007
|
10.1088/1751-8113/40/8/015
| null |
hep-th
| null |
The application of a weak integrability concept to the Skyrme and $CP^n$
models in 4 dimensions is investigated. A new integrable subsystem of the
Skyrme model, allowing also for non-holomorphic solutions, is derived. This
procedure can be applied to the massive Skyrme model, as well. Moreover, an
example of a family of chiral Lagrangians providing exact, finite energy
Skyrme-like solitons with arbitrary value of the topological charge, is given.
In the case of $CP^n$ models a tower of integrable subsystems is obtained. In
particular, in (2+1) dimensions a one-to-one correspondence between the
standard integrable submodel and the BPS sector is proved. Additionally, it is
shown that weak integrable submodels allow also for non-BPS solutions.
Geometric as well as algebraic interpretations of the integrability conditions
are also given.
|
[
{
"created": "Mon, 2 Oct 2006 07:59:20 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Adam",
"C.",
""
],
[
"Sanchez-Guillen",
"J.",
""
],
[
"Wereszczynski",
"A.",
""
]
] |
The application of a weak integrability concept to the Skyrme and $CP^n$ models in 4 dimensions is investigated. A new integrable subsystem of the Skyrme model, allowing also for non-holomorphic solutions, is derived. This procedure can be applied to the massive Skyrme model, as well. Moreover, an example of a family of chiral Lagrangians providing exact, finite energy Skyrme-like solitons with arbitrary value of the topological charge, is given. In the case of $CP^n$ models a tower of integrable subsystems is obtained. In particular, in (2+1) dimensions a one-to-one correspondence between the standard integrable submodel and the BPS sector is proved. Additionally, it is shown that weak integrable submodels allow also for non-BPS solutions. Geometric as well as algebraic interpretations of the integrability conditions are also given.
| 8.249387
| 8.114022
| 8.260444
| 8.001746
| 8.159097
| 8.395264
| 8.025944
| 7.829456
| 7.685664
| 9.027472
| 7.651063
| 7.721468
| 7.96751
| 7.847449
| 7.780877
| 7.81205
| 7.922654
| 7.781675
| 7.946164
| 8.026706
| 7.760252
|
hep-th/0011163
|
Violeta Calian
|
V. Calian, G. Stoenescu
|
Renormalization of non-locally regularized BRST-anti-BRST theories
|
9 pages
| null | null | null |
hep-th
| null |
An extension of the non-local regularization scheme is formulated in the
Sp(2) symmetric Lagrangian BRST quantization framework. It generates a
systematic treatment of the anomalous quantum master equations and allows to
substract the divergences as well as to calculate genuine higher loop BRST and
anti-BRST anomalies.
|
[
{
"created": "Fri, 17 Nov 2000 20:57:38 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Calian",
"V.",
""
],
[
"Stoenescu",
"G.",
""
]
] |
An extension of the non-local regularization scheme is formulated in the Sp(2) symmetric Lagrangian BRST quantization framework. It generates a systematic treatment of the anomalous quantum master equations and allows to substract the divergences as well as to calculate genuine higher loop BRST and anti-BRST anomalies.
| 16.68771
| 12.845678
| 17.14094
| 13.054629
| 13.090559
| 13.366379
| 13.607193
| 13.264805
| 12.335643
| 19.039679
| 12.160219
| 13.053693
| 15.578356
| 13.353518
| 13.038634
| 13.04797
| 12.844771
| 13.908981
| 13.321589
| 15.803177
| 13.334609
|
1704.08353
|
Vakhid Gani
|
Aliakbar Moradi Marjaneh, Vakhid A. Gani, Danial Saadatmand, Sergey V.
Dmitriev, Kurosh Javidan
|
Multi-kink collisions in the $\phi^6$ model
|
21 pages, 8 figures; v2: minor changes to match version published in
JHEP
|
JHEP 07 (2017) 028
|
10.1007/JHEP07(2017)028
| null |
hep-th cond-mat.mtrl-sci math-ph math.MP nlin.PS
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study simultaneous collisions of two, three, and four kinks and antikinks
of the $\phi^6$ model at the same spatial point. Unlike the $\phi^4$ kinks, the
$\phi^6$ kinks are asymmetric and this enriches the variety of the collision
scenarios. In our numerical simulations we observe both reflection and bound
state formation depending on the number of kinks and on their spatial ordering
in the initial configuration. We also analyze the extreme values of the energy
densities and the field gradient observed during the collisions. Our results
suggest that very high energy densities can be produced in multi-kink
collisions in a controllable manner. Appearance of high energy density spots in
multi-kink collisions can be important in various physical applications of the
Klein-Gordon model.
|
[
{
"created": "Wed, 26 Apr 2017 21:18:58 GMT",
"version": "v1"
},
{
"created": "Sat, 8 Jul 2017 11:16:41 GMT",
"version": "v2"
}
] |
2017-07-11
|
[
[
"Marjaneh",
"Aliakbar Moradi",
""
],
[
"Gani",
"Vakhid A.",
""
],
[
"Saadatmand",
"Danial",
""
],
[
"Dmitriev",
"Sergey V.",
""
],
[
"Javidan",
"Kurosh",
""
]
] |
We study simultaneous collisions of two, three, and four kinks and antikinks of the $\phi^6$ model at the same spatial point. Unlike the $\phi^4$ kinks, the $\phi^6$ kinks are asymmetric and this enriches the variety of the collision scenarios. In our numerical simulations we observe both reflection and bound state formation depending on the number of kinks and on their spatial ordering in the initial configuration. We also analyze the extreme values of the energy densities and the field gradient observed during the collisions. Our results suggest that very high energy densities can be produced in multi-kink collisions in a controllable manner. Appearance of high energy density spots in multi-kink collisions can be important in various physical applications of the Klein-Gordon model.
| 7.309423
| 6.778626
| 7.590981
| 6.549627
| 7.133851
| 6.435392
| 6.822682
| 6.711423
| 6.804423
| 7.541056
| 6.857408
| 6.629306
| 7.03503
| 6.552367
| 6.839086
| 6.521711
| 6.508262
| 6.718882
| 6.787086
| 7.304394
| 6.713064
|
1902.03221
|
Sebastien Renaux-Petel
|
Jacopo Fumagalli, Sebastian Garcia-Saenz, Lucas Pinol, S\'ebastien
Renaux-Petel and John Ronayne
|
Hyper non-Gaussianities in inflation with strongly non-geodesic motion
|
5 pages + appendices, 5 figures. Claim regarding the loss of
perturbative control removed. New result of the enhancement of higher-order
correlation functions in flattened configurations
|
Phys. Rev. Lett. 123, 201302 (2019)
|
10.1103/PhysRevLett.123.201302
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Several recent proposals to embed inflation into high-energy physics rely on
inflationary dynamics characterized by a strongly non-geodesic motion in
negatively curved field space. This naturally leads to a transient instability
of perturbations on sub-Hubble scales, and to their exponential amplification.
Supported by first-principle numerical computations, and by the analytical
insight provided by the effective field theory of inflation, we show that the
bispectrum is enhanced in flattened configurations, and we argue that an
analogous result holds for all higher-order correlation functions. These
``hyper non-Gaussianities'' thus provide powerful model-independent constraints
on non-standard inflationary attractors motivated by the search for ultraviolet
completions of inflation.
|
[
{
"created": "Fri, 8 Feb 2019 18:30:24 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Oct 2019 20:01:26 GMT",
"version": "v2"
}
] |
2019-11-20
|
[
[
"Fumagalli",
"Jacopo",
""
],
[
"Garcia-Saenz",
"Sebastian",
""
],
[
"Pinol",
"Lucas",
""
],
[
"Renaux-Petel",
"Sébastien",
""
],
[
"Ronayne",
"John",
""
]
] |
Several recent proposals to embed inflation into high-energy physics rely on inflationary dynamics characterized by a strongly non-geodesic motion in negatively curved field space. This naturally leads to a transient instability of perturbations on sub-Hubble scales, and to their exponential amplification. Supported by first-principle numerical computations, and by the analytical insight provided by the effective field theory of inflation, we show that the bispectrum is enhanced in flattened configurations, and we argue that an analogous result holds for all higher-order correlation functions. These ``hyper non-Gaussianities'' thus provide powerful model-independent constraints on non-standard inflationary attractors motivated by the search for ultraviolet completions of inflation.
| 13.132971
| 11.145932
| 12.14638
| 10.344532
| 11.756578
| 11.779859
| 11.67545
| 11.14425
| 11.156223
| 13.1579
| 11.829011
| 11.115729
| 10.867664
| 10.721434
| 11.014035
| 10.917362
| 11.339347
| 10.454543
| 10.788535
| 10.722816
| 10.923052
|
0903.4432
|
Sergio Caracciolo
|
Sergio Caracciolo, Andrea Sportiello
|
Spanning Forests on Random Planar Lattices
|
43 pages, Dedicated to Edouard Brezin and Giorgio Parisi, on the
occasion of their special birthday
|
J.Statist.Phys.135:1063-1104,2009
|
10.1007/s10955-009-9733-1
| null |
hep-th cond-mat.stat-mech hep-lat math-ph math.CO math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The generating function for spanning forests on a lattice is related to the
q-state Potts model in a certain q -> 0 limit, and extends the analogous notion
for spanning trees, or dense self-avoiding branched polymers. Recent works have
found a combinatorial perturbative equivalence also with the (quadratic action)
O(n) model in the limit n -> -1, the expansion parameter t counting the number
of components in the forest. We give a random-matrix formulation of this model
on the ensemble of degree-k random planar lattices. For k = 3, a correspondence
is found with the Kostov solution of the loop-gas problem, which arise as a
reformulation of the (logarithmic action) O(n) model, at n = -2. Then, we show
how to perform an expansion around the t = 0 theory. In the thermodynamic
limit, at any order in t we have a finite sum of finite-dimensional Cauchy
integrals. The leading contribution comes from a peculiar class of terms, for
which a resummation can be performed exactly.
|
[
{
"created": "Wed, 25 Mar 2009 19:17:07 GMT",
"version": "v1"
}
] |
2009-09-01
|
[
[
"Caracciolo",
"Sergio",
""
],
[
"Sportiello",
"Andrea",
""
]
] |
The generating function for spanning forests on a lattice is related to the q-state Potts model in a certain q -> 0 limit, and extends the analogous notion for spanning trees, or dense self-avoiding branched polymers. Recent works have found a combinatorial perturbative equivalence also with the (quadratic action) O(n) model in the limit n -> -1, the expansion parameter t counting the number of components in the forest. We give a random-matrix formulation of this model on the ensemble of degree-k random planar lattices. For k = 3, a correspondence is found with the Kostov solution of the loop-gas problem, which arise as a reformulation of the (logarithmic action) O(n) model, at n = -2. Then, we show how to perform an expansion around the t = 0 theory. In the thermodynamic limit, at any order in t we have a finite sum of finite-dimensional Cauchy integrals. The leading contribution comes from a peculiar class of terms, for which a resummation can be performed exactly.
| 11.699944
| 12.986311
| 13.379198
| 11.630632
| 14.235528
| 13.177971
| 12.628476
| 11.756184
| 12.670502
| 14.93813
| 11.769294
| 11.680996
| 11.831276
| 11.23697
| 12.40287
| 11.965275
| 11.91888
| 11.259103
| 11.076864
| 11.711897
| 11.595016
|
1702.02069
|
Dafni Marchioro
|
M. Botta Cantcheff, Alexandre L. Gadelha, D\'afni F. Z. Marchioro,
Daniel Luiz Nedel
|
Entanglement from Dissipation and Holographic Interpretation
|
Major changes. Last section removed from the old version. New section
on the dual gravitational solution and the teleportation mechanism included.
Figure added. References changed
|
Eur. Phys. J. C78 (2018) no.2, 105
|
10.1140/epjc/s10052-018-5545-2
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we study a dissipative field theory where the dissipation
process is manifestly related to dynamical entanglement and put it in the
holographic context. Such endeavour is realized by further development of a
canonical approach to study quantum dissipation, which consists of doubling the
degrees of freedom of the original system by defining an auxiliary one. A time
dependent entanglement entropy for the vacumm state is calculated and a
geometrical interpretation of the auxiliary system and the entropy is given in
the context of the AdS/CFT correspondence using the Ryu-Takayanagi formula. We
show that the dissipative dynamics is controlled by the entanglement entropy
and there are two distinct stages: in the early times the holographic
interpretation requires some deviation from classical General Relativity; in
the later times the quantum system is described as a wormhole, a solution of
the Einstein's equations near to a maximally extended black hole with two
asymptotically AdS boundaries. We focus our holographic analysis in this
regime, and suggest a mechanism similar to teleportation protocol to exchange
(quantum) information between the two CFTs on the boundaries (see [28]).
|
[
{
"created": "Tue, 7 Feb 2017 15:46:07 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Jun 2017 18:46:34 GMT",
"version": "v2"
},
{
"created": "Fri, 9 Feb 2018 18:54:51 GMT",
"version": "v3"
}
] |
2018-02-12
|
[
[
"Cantcheff",
"M. Botta",
""
],
[
"Gadelha",
"Alexandre L.",
""
],
[
"Marchioro",
"Dáfni F. Z.",
""
],
[
"Nedel",
"Daniel Luiz",
""
]
] |
In this work we study a dissipative field theory where the dissipation process is manifestly related to dynamical entanglement and put it in the holographic context. Such endeavour is realized by further development of a canonical approach to study quantum dissipation, which consists of doubling the degrees of freedom of the original system by defining an auxiliary one. A time dependent entanglement entropy for the vacumm state is calculated and a geometrical interpretation of the auxiliary system and the entropy is given in the context of the AdS/CFT correspondence using the Ryu-Takayanagi formula. We show that the dissipative dynamics is controlled by the entanglement entropy and there are two distinct stages: in the early times the holographic interpretation requires some deviation from classical General Relativity; in the later times the quantum system is described as a wormhole, a solution of the Einstein's equations near to a maximally extended black hole with two asymptotically AdS boundaries. We focus our holographic analysis in this regime, and suggest a mechanism similar to teleportation protocol to exchange (quantum) information between the two CFTs on the boundaries (see [28]).
| 10.903053
| 11.489297
| 11.348648
| 10.816036
| 10.659726
| 10.166101
| 10.669676
| 11.269608
| 10.485352
| 11.816712
| 10.618793
| 10.225302
| 10.832462
| 10.60166
| 10.60662
| 10.487104
| 10.251913
| 10.598187
| 10.552891
| 10.901728
| 10.471002
|
1012.3561
|
Veronika E. Hubeny
|
Veronika E. Hubeny
|
Holographic dual of collimated radiation
|
26 pages, 6 figures, invited contribution to the New Journal of
Physics Focus Issue "Strongly Correlated Quantum Fluids: From Ultracold
Quantum Gases to QCD Plasmas"
|
New J.Phys.13:035006,2011
|
10.1088/1367-2630/13/3/035006
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a new and simple method of estimating the radiation due to an
accelerated quark in a strongly coupled medium, within the framework of the
AdS/CFT correspondence. In particular, we offer a heuristic explanation of the
collimated nature of synchrotron radiation produced by a circling quark, which
was recently studied in Phys.Rev.D81 (2010) 126001. The gravitational dual of
such quark is a coiling string in AdS, whose backreaction on the spacetime
geometry remains tightly confined, as if 'beamed' towards the boundary. While
this appears to contradict conventional expectations from the scale/radius
duality, we resolve the issue by observing that the backreaction of a
relativistic string is reproduced by a superposition of gravitational shock
waves. We further demonstrate that this proposal allows us to reduce the
problem of computing the boundary stress tensor to merely calculating geodesics
in AdS, as opposed to solving linearized Einstein's equations.
|
[
{
"created": "Thu, 16 Dec 2010 11:16:42 GMT",
"version": "v1"
}
] |
2011-03-28
|
[
[
"Hubeny",
"Veronika E.",
""
]
] |
We propose a new and simple method of estimating the radiation due to an accelerated quark in a strongly coupled medium, within the framework of the AdS/CFT correspondence. In particular, we offer a heuristic explanation of the collimated nature of synchrotron radiation produced by a circling quark, which was recently studied in Phys.Rev.D81 (2010) 126001. The gravitational dual of such quark is a coiling string in AdS, whose backreaction on the spacetime geometry remains tightly confined, as if 'beamed' towards the boundary. While this appears to contradict conventional expectations from the scale/radius duality, we resolve the issue by observing that the backreaction of a relativistic string is reproduced by a superposition of gravitational shock waves. We further demonstrate that this proposal allows us to reduce the problem of computing the boundary stress tensor to merely calculating geodesics in AdS, as opposed to solving linearized Einstein's equations.
| 10.543961
| 10.390326
| 10.998309
| 10.013976
| 11.346803
| 10.288964
| 10.681899
| 10.003992
| 10.2156
| 10.993467
| 9.826381
| 9.975213
| 10.305533
| 10.110525
| 10.13485
| 10.121193
| 10.535524
| 10.082993
| 10.220178
| 10.141939
| 10.07111
|
0901.3431
|
Ahmad Ghodsi
|
Mohsen Alishahiha and Ahmad Ghodsi
|
Non-relativistic D3-brane in the presence of higher derivative
corrections
|
20 pages. v2: typos corrected, one reference added. v3: Minor
corrections, To appear in PRD
|
Phys.Rev.D80:026004,2009
|
10.1103/PhysRevD.80.026004
|
IPM/P-2009/002
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using alpha'^3 terms of type IIB supergravity action we study higher order
corrections to the non-relativistic non-extremal D3-brane. Utilizing the
corrected solution we evaluate corrections to temperature, entropy and shear
viscosity. We also compute the eta/s ratio which although within the range of
validity of the supergravity approximation and in the lowest order of the
correction the universal bound is respected, there is a possibility for a
violation of the bound when higher terms in the expansion are taken into
account.
|
[
{
"created": "Thu, 22 Jan 2009 08:40:12 GMT",
"version": "v1"
},
{
"created": "Sun, 1 Feb 2009 08:47:54 GMT",
"version": "v2"
},
{
"created": "Tue, 14 Jul 2009 15:02:32 GMT",
"version": "v3"
}
] |
2009-08-12
|
[
[
"Alishahiha",
"Mohsen",
""
],
[
"Ghodsi",
"Ahmad",
""
]
] |
Using alpha'^3 terms of type IIB supergravity action we study higher order corrections to the non-relativistic non-extremal D3-brane. Utilizing the corrected solution we evaluate corrections to temperature, entropy and shear viscosity. We also compute the eta/s ratio which although within the range of validity of the supergravity approximation and in the lowest order of the correction the universal bound is respected, there is a possibility for a violation of the bound when higher terms in the expansion are taken into account.
| 12.388548
| 9.889639
| 12.068053
| 9.559455
| 11.388397
| 10.375051
| 10.518723
| 9.752557
| 9.283748
| 13.593241
| 9.010312
| 10.229239
| 11.621907
| 9.790683
| 10.390484
| 9.829045
| 10.607831
| 10.429134
| 9.851529
| 12.38201
| 10.060543
|
hep-th/0411162
|
Jurgen Baacke
|
Jurgen Baacke and Nina Kevlishvili
|
Self-consistent bounces in two dimensions
|
30 pages, 12 figures
|
Phys.Rev. D71 (2005) 025008
|
10.1103/PhysRevD.71.025008
|
DO-TH-04-11
|
hep-th gr-qc hep-ph
| null |
We compute bounce solutions describing false vacuum decay in a Phi**4 model
in two dimensions in the Hartree approximation, thus going beyond the usual
one-loop corrections to the decay rate. We use zero energy mode functions of
the fluctuation operator for the numerical computation of the functional
determinant and the Green's function. We thus avoid the necessity of
discretizing the spectrum, as it is necessary when one uses numerical
techniques based on eigenfunctions. Regularization is performed in analogy of
standard perturbation theory; the renormalization of the Hartree approximation
is based on the two-particle point-irreducible (2PPI) scheme. The iteration
towards the self-consistent solution is found to converge for some range of the
parameters. Within this range we find the corrections to the leading one-loop
approximation to be relatively small, not exceeding one order of magnitude in
the total transition rate.
|
[
{
"created": "Thu, 18 Nov 2004 16:22:49 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Nov 2004 12:48:40 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Baacke",
"Jurgen",
""
],
[
"Kevlishvili",
"Nina",
""
]
] |
We compute bounce solutions describing false vacuum decay in a Phi**4 model in two dimensions in the Hartree approximation, thus going beyond the usual one-loop corrections to the decay rate. We use zero energy mode functions of the fluctuation operator for the numerical computation of the functional determinant and the Green's function. We thus avoid the necessity of discretizing the spectrum, as it is necessary when one uses numerical techniques based on eigenfunctions. Regularization is performed in analogy of standard perturbation theory; the renormalization of the Hartree approximation is based on the two-particle point-irreducible (2PPI) scheme. The iteration towards the self-consistent solution is found to converge for some range of the parameters. Within this range we find the corrections to the leading one-loop approximation to be relatively small, not exceeding one order of magnitude in the total transition rate.
| 11.530805
| 11.656957
| 11.621835
| 10.772788
| 11.714757
| 12.172919
| 12.326342
| 12.278286
| 10.562484
| 11.597509
| 11.158735
| 11.045832
| 11.354903
| 10.946233
| 11.224902
| 11.711685
| 11.162447
| 11.529829
| 11.050344
| 11.535425
| 10.888031
|
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