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2.01k
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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9405133
|
Otmar Moritsch
|
O. Moritsch and M. Schweda
|
On the Algebraic Structure of Gravity with Torsion including Weyl
symmetry
|
55 pages, report REF. TUW 94-08
|
Helv.Phys.Acta 67 (1994) 289-344
| null | null |
hep-th
| null |
The BRST transformations for gravity with torsion including Weyl symmetry are
discussed by using the so-called Maurer-Cartan horizontality conditions. Also
the coupling of scalar matter fields to gravity is incorporated in this
analysis. With the help of an operator $\d$ which allows to decompose the
exterior space-time derivative as a BRST commutator we solve the Wess-Zumino
consistency condition corresponding to invariant Lagrangians and anomalies for
the cases with and without Weyl symmetry.
|
[
{
"created": "Fri, 20 May 1994 14:18:28 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Moritsch",
"O.",
""
],
[
"Schweda",
"M.",
""
]
] |
The BRST transformations for gravity with torsion including Weyl symmetry are discussed by using the so-called Maurer-Cartan horizontality conditions. Also the coupling of scalar matter fields to gravity is incorporated in this analysis. With the help of an operator $\d$ which allows to decompose the exterior space-time derivative as a BRST commutator we solve the Wess-Zumino consistency condition corresponding to invariant Lagrangians and anomalies for the cases with and without Weyl symmetry.
| 12.261459
| 8.618938
| 11.766721
| 9.259527
| 8.123911
| 8.119452
| 8.211988
| 8.796517
| 8.671286
| 13.489715
| 8.945662
| 10.389048
| 11.181963
| 10.397589
| 10.536253
| 10.303332
| 10.082926
| 10.347881
| 10.38748
| 11.632382
| 10.518708
|
2108.02381
|
Yu Nakayama
|
Yu Nakayama
|
Recursive structure of the Gau\ss{} hypergeometric function and
boundary/crosscap conformal block
|
10 pages
| null |
10.1142/S0217732321502722
|
RUP-21-14
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Gau\ss{} hypergeometric function shows a recursive structure which
resembles those found in conformal blocks. We compare it with the recursive
structure of the conformal block in boundary/crosscap conformal field theories
that is obtained from the representation theory. We find that the pole
structure perfectly agrees but the recursive structure in the Gau\ss{}
hypergeometric function is slightly ``off-shell".
|
[
{
"created": "Thu, 5 Aug 2021 05:29:44 GMT",
"version": "v1"
}
] |
2022-01-26
|
[
[
"Nakayama",
"Yu",
""
]
] |
The Gau\ss{} hypergeometric function shows a recursive structure which resembles those found in conformal blocks. We compare it with the recursive structure of the conformal block in boundary/crosscap conformal field theories that is obtained from the representation theory. We find that the pole structure perfectly agrees but the recursive structure in the Gau\ss{} hypergeometric function is slightly ``off-shell".
| 14.612588
| 10.992959
| 15.26152
| 11.132857
| 11.93286
| 12.235483
| 11.376288
| 12.323415
| 11.102987
| 16.041624
| 10.556071
| 10.601642
| 11.147777
| 10.945792
| 10.870198
| 10.760687
| 11.087285
| 10.917667
| 11.296852
| 11.057009
| 10.512753
|
1905.00116
|
Kantaro Ohmori
|
Hirotaka Hayashi, Patrick Jefferson, Hee-Cheol Kim, Kantaro Ohmori and
Cumrun Vafa
|
SCFTs, Holography, and Topological Strings
|
115 pages, 36 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the non-gravitational sectors of certain 6d and 5d supergravity
theories can be decomposed into superconformal field theories (SCFTs) which are
coupled together by pairwise identifying and gauging mutual global symmetries.
In the case of 6d supergravity, we consider F-theory on compact elliptic
Calabi-Yau 3-folds with base $B=T^4/\mathbb{Z}_n\times \mathbb{Z}_m$ and we
show in many examples that the non-gravitational field theory sectors can be
described as configurations of coupled 6d $(1,0)$ SCFTs. We also conjecture
that the effective 2d $(0,4)$ SCFTs living on the self-dual strings of the 6d
theories lead to holographically dual descriptions of type IIB string theory on
$AdS_3\times S^3\times B$ and moreover that their elliptic genera can be used
to compute the degeneracies of 5d spinning BPS black holes along with all-genus
topological string amplitudes on the corresponding compact 3-fold. In the case
of 5d supergravity, we consider M-theory on compact Calabi-Yau 3-folds and
using similar ideas as in the 6d case we show the complete non-gravitational
sector of 5d supergravity theories can be decomposed into coupled 5d
$\mathcal{N}=1$ SCFTs. Furthermore, using this picture we propose a generalized
topological vertex formalism which, excluding some curve classes, seems to
capture all-genus topological string amplitudes for the mirror quintic.
|
[
{
"created": "Tue, 30 Apr 2019 21:50:44 GMT",
"version": "v1"
}
] |
2019-05-02
|
[
[
"Hayashi",
"Hirotaka",
""
],
[
"Jefferson",
"Patrick",
""
],
[
"Kim",
"Hee-Cheol",
""
],
[
"Ohmori",
"Kantaro",
""
],
[
"Vafa",
"Cumrun",
""
]
] |
We show that the non-gravitational sectors of certain 6d and 5d supergravity theories can be decomposed into superconformal field theories (SCFTs) which are coupled together by pairwise identifying and gauging mutual global symmetries. In the case of 6d supergravity, we consider F-theory on compact elliptic Calabi-Yau 3-folds with base $B=T^4/\mathbb{Z}_n\times \mathbb{Z}_m$ and we show in many examples that the non-gravitational field theory sectors can be described as configurations of coupled 6d $(1,0)$ SCFTs. We also conjecture that the effective 2d $(0,4)$ SCFTs living on the self-dual strings of the 6d theories lead to holographically dual descriptions of type IIB string theory on $AdS_3\times S^3\times B$ and moreover that their elliptic genera can be used to compute the degeneracies of 5d spinning BPS black holes along with all-genus topological string amplitudes on the corresponding compact 3-fold. In the case of 5d supergravity, we consider M-theory on compact Calabi-Yau 3-folds and using similar ideas as in the 6d case we show the complete non-gravitational sector of 5d supergravity theories can be decomposed into coupled 5d $\mathcal{N}=1$ SCFTs. Furthermore, using this picture we propose a generalized topological vertex formalism which, excluding some curve classes, seems to capture all-genus topological string amplitudes for the mirror quintic.
| 4.942827
| 4.822925
| 5.612909
| 4.906691
| 4.955593
| 4.559983
| 5.013594
| 4.853424
| 4.744236
| 6.335073
| 4.648293
| 4.774819
| 5.187758
| 4.911003
| 4.948035
| 4.836497
| 4.791171
| 4.789382
| 4.975283
| 5.070983
| 4.848768
|
0807.5127
|
Robert McNees
|
Robert McNees, Robert C. Myers, Aninda Sinha
|
On quark masses in holographic QCD
|
31+1 pages, 8 figures
|
JHEP 0811:056,2008
|
10.1088/1126-6708/2008/11/056
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently certain nonlocal operators were proposed to provide quark masses for
the holographic model of QCD developed by Sakai and Sugimoto. The properties of
these operators at strong coupling are examined in detail using holographic
techniques. We find the renormalization procedure for these operators is
modified by the running of the five-dimensional gauge coupling. We explicitly
evaluate the chiral condensate characterized by these operators.
|
[
{
"created": "Thu, 31 Jul 2008 19:11:47 GMT",
"version": "v1"
}
] |
2011-03-02
|
[
[
"McNees",
"Robert",
""
],
[
"Myers",
"Robert C.",
""
],
[
"Sinha",
"Aninda",
""
]
] |
Recently certain nonlocal operators were proposed to provide quark masses for the holographic model of QCD developed by Sakai and Sugimoto. The properties of these operators at strong coupling are examined in detail using holographic techniques. We find the renormalization procedure for these operators is modified by the running of the five-dimensional gauge coupling. We explicitly evaluate the chiral condensate characterized by these operators.
| 10.987608
| 9.221374
| 8.665637
| 9.213282
| 9.234975
| 8.728028
| 8.092896
| 8.869056
| 8.849384
| 10.729818
| 8.527313
| 8.909056
| 9.492012
| 9.046061
| 9.246412
| 9.263301
| 8.816852
| 9.291247
| 8.956431
| 9.394509
| 8.875412
|
hep-th/9412135
|
Michele Bourdeau
|
Michele Bourdeau
|
Solvable Models in Two-Dimensional N=2 Theories
|
20 pages (LaTeX), Contribution to the Proceedings of ``Statistical
Mechanics and Quantum Field Theory'', May 94, USC
| null | null |
OUTP-94-08P
|
hep-th
| null |
N=2 supersymmetric field theories in two dimensions have been extensively
studied in the last few years. Many of their properties can be determined along
the whole renormalization group flow, like their coupling dependence and
soliton spectra. We discuss here several models which can be solved completely,
when the number of superfields is taken to be large, by studying their
topological-antitopological fusion equations. These models are the CPN model,
sigma models on Grassmannian manifolds, and certain perturbed $N=2$ Minimal
model.
|
[
{
"created": "Thu, 15 Dec 1994 20:13:31 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Bourdeau",
"Michele",
""
]
] |
N=2 supersymmetric field theories in two dimensions have been extensively studied in the last few years. Many of their properties can be determined along the whole renormalization group flow, like their coupling dependence and soliton spectra. We discuss here several models which can be solved completely, when the number of superfields is taken to be large, by studying their topological-antitopological fusion equations. These models are the CPN model, sigma models on Grassmannian manifolds, and certain perturbed $N=2$ Minimal model.
| 10.094416
| 8.972156
| 11.06177
| 9.054456
| 9.080274
| 9.709228
| 9.043059
| 8.872097
| 8.915678
| 12.826092
| 8.81553
| 8.507952
| 10.119277
| 9.050235
| 8.656137
| 8.853896
| 8.859898
| 9.047657
| 9.036205
| 10.061318
| 8.769787
|
hep-th/0607079
|
Leonid Lantsman
|
Leonid Lantsman
|
Superfluidity of Minkowskian Higgs vacuum with BPS monopoles quantized
by Dirac may be described as Cauchy problem to Gribov ambiguity equation
|
New, the covering description for topological Dirac variables
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that manifest superfluid properties of the Minkowskian Higgs model
with vacuum BPS monopoles quantized by Dirac may be described in the framework
of the Cauchy problem to the Gribov ambiguity equation.
The latter equation specifies the ambiguity in choosing the covariant Coulomb
(transverse) gauge for Yang-Mills fields represented as topological Dirac
variables, may be treated as solutions to the Gauss law constraint at the
removal of temporal components of these fields.
We demonstrate that the above Cauchy problem comes just to fixing the
covariant Coulomb gauge for topological Dirac variables in the given initial
time instant $t_0$ and finding the solutions to the Gribov ambiguity equation
in the shape of vacuum BPS monopoles and excitations over the BPS monopole
vacuum referring to the class of multipoles.
The next goal of the present study will be specifying the look of Gribov
topological multipliers entering Dirac variables in the Minkowskian Higgs model
quantized by Dirac, especially at the spatial infinity, $| {\bf x} | \to
\infty$ (that corresponds to the infrared region of the momentum space).
|
[
{
"created": "Wed, 12 Jul 2006 15:24:16 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Sep 2008 14:07:49 GMT",
"version": "v2"
},
{
"created": "Fri, 29 May 2009 14:07:35 GMT",
"version": "v3"
},
{
"created": "Sat, 13 Jun 2015 10:45:46 GMT",
"version": "v4"
}
] |
2015-06-16
|
[
[
"Lantsman",
"Leonid",
""
]
] |
We show that manifest superfluid properties of the Minkowskian Higgs model with vacuum BPS monopoles quantized by Dirac may be described in the framework of the Cauchy problem to the Gribov ambiguity equation. The latter equation specifies the ambiguity in choosing the covariant Coulomb (transverse) gauge for Yang-Mills fields represented as topological Dirac variables, may be treated as solutions to the Gauss law constraint at the removal of temporal components of these fields. We demonstrate that the above Cauchy problem comes just to fixing the covariant Coulomb gauge for topological Dirac variables in the given initial time instant $t_0$ and finding the solutions to the Gribov ambiguity equation in the shape of vacuum BPS monopoles and excitations over the BPS monopole vacuum referring to the class of multipoles. The next goal of the present study will be specifying the look of Gribov topological multipliers entering Dirac variables in the Minkowskian Higgs model quantized by Dirac, especially at the spatial infinity, $| {\bf x} | \to \infty$ (that corresponds to the infrared region of the momentum space).
| 12.152493
| 12.532578
| 13.226962
| 12.15533
| 13.118187
| 12.232998
| 12.880812
| 12.202942
| 11.315203
| 14.851496
| 12.267784
| 11.733501
| 12.477054
| 11.840037
| 12.021721
| 12.205549
| 11.898582
| 11.478101
| 11.781043
| 12.155202
| 11.367575
|
1708.00449
|
Don N. Page
|
Don N. Page
|
Bayes Keeps Boltzmann Brains at Bay
|
9 pages, LaTeX
| null | null |
Alberta-Thy-6-17
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Sean Carroll has recently argued that theories predicting that observations
are dominated by Boltzmann Brains should be rejected because they are
cognitively unstable: "they cannot simultaneously be true and justifiably
believed." While such Boltzmann Brain theories are indeed cognitively unstable,
one does not need to appeal to this argumentation to reject them. Instead, they
may be ruled out by conventional Bayesian reasoning, which is sufficient to
keep Boltzmann Brains at bay.
|
[
{
"created": "Tue, 1 Aug 2017 18:00:05 GMT",
"version": "v1"
}
] |
2017-08-03
|
[
[
"Page",
"Don N.",
""
]
] |
Sean Carroll has recently argued that theories predicting that observations are dominated by Boltzmann Brains should be rejected because they are cognitively unstable: "they cannot simultaneously be true and justifiably believed." While such Boltzmann Brain theories are indeed cognitively unstable, one does not need to appeal to this argumentation to reject them. Instead, they may be ruled out by conventional Bayesian reasoning, which is sufficient to keep Boltzmann Brains at bay.
| 10.059563
| 9.462324
| 10.144298
| 9.233597
| 9.347702
| 10.425419
| 10.599552
| 9.095329
| 9.945835
| 11.841415
| 8.957314
| 9.343609
| 9.112505
| 9.097477
| 8.968426
| 8.826032
| 9.726034
| 8.977584
| 9.040125
| 9.305269
| 8.398677
|
1311.6205
|
Changhyun Ahn
|
Changhyun Ahn
|
Higher Spin Currents in Wolf Space: Part I
|
143 pages; Simplified the OPEs using compact notations, manifest
SU(2) x SU(2) representations are given and to appear in JHEP
| null |
10.1007/JHEP03(2014)091
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
For the N=4 superconformal coset theory described by SU(N+2)/SU(N) (that
contains a Wolf space) with N=3, the N=2 WZW affine current algebra with
constraints is obtained. The 16 generators of the large N=4 linear
superconformal algebra are described by those WZW affine currents explicitly.
By factoring out four spin-1/2 currents and the spin-1 current from these 16
generators, the remaining 11 generators (spin-2 current, four spin-3/2
currents, and six spin-1 currents) corresponding to the large N=4 nonlinear
superconformal algebra are obtained.
Based on the recent work by Gaberdiel and Gopakumar on the large N=4
holography, the extra 16 currents, with spin contents (1, 3/2, 3/2, 2), (3/2,
2, 2, 5/2), (3/2, 2, 2, 5/2), and (2, 5/2, 5/2, 3) described in terms of N=2
multiplets, are obtained and realized by the WZW affine currents. As a first
step towards N=4 W algebra (which is NOT known so far), the operator product
expansions (OPEs) between the above 11 currents and these extra 16 higher spin
currents are found explicitly. It turns out that the composite fields with
definite U(1) charges, made of above (11+16) currents (which commute with the
Wolf space subgroup SU(N=3) x SU(2) x U(1) currents), occur in the right hand
sides of these OPEs.
|
[
{
"created": "Mon, 25 Nov 2013 04:21:50 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Feb 2014 05:18:30 GMT",
"version": "v2"
}
] |
2015-06-18
|
[
[
"Ahn",
"Changhyun",
""
]
] |
For the N=4 superconformal coset theory described by SU(N+2)/SU(N) (that contains a Wolf space) with N=3, the N=2 WZW affine current algebra with constraints is obtained. The 16 generators of the large N=4 linear superconformal algebra are described by those WZW affine currents explicitly. By factoring out four spin-1/2 currents and the spin-1 current from these 16 generators, the remaining 11 generators (spin-2 current, four spin-3/2 currents, and six spin-1 currents) corresponding to the large N=4 nonlinear superconformal algebra are obtained. Based on the recent work by Gaberdiel and Gopakumar on the large N=4 holography, the extra 16 currents, with spin contents (1, 3/2, 3/2, 2), (3/2, 2, 2, 5/2), (3/2, 2, 2, 5/2), and (2, 5/2, 5/2, 3) described in terms of N=2 multiplets, are obtained and realized by the WZW affine currents. As a first step towards N=4 W algebra (which is NOT known so far), the operator product expansions (OPEs) between the above 11 currents and these extra 16 higher spin currents are found explicitly. It turns out that the composite fields with definite U(1) charges, made of above (11+16) currents (which commute with the Wolf space subgroup SU(N=3) x SU(2) x U(1) currents), occur in the right hand sides of these OPEs.
| 5.863694
| 5.451147
| 6.991615
| 5.557662
| 5.591096
| 5.432838
| 5.659938
| 5.630528
| 5.590243
| 7.190505
| 5.735845
| 5.654297
| 6.307194
| 5.810447
| 5.828546
| 5.843029
| 5.677435
| 5.815856
| 5.969321
| 6.231708
| 5.883007
|
hep-th/9708135
|
Andre LeClair
|
A. LeClair and A. W. W. Ludwig
|
Minimal Models with Integrable Local Defects
|
18 pages, one figure
|
Nucl.Phys.B549:546-562,1999
|
10.1016/S0550-3213(99)00111-X
|
ITP-97-080
|
hep-th cond-mat
| null |
We describe a general way of constructing integrable defect theories as
perturbations of conformal field theory by local defect operators. The method
relies on folding the system onto a boundary field theory of twice the central
charge. The classification of integrable defect theories obtained in this way
parallels that of integrable bulk theories which are a perturbation of the
tensor product of two conformal field theories. These include local defect
perturbations of all $c<1$ minimal models, as well as of the coset theories
based on SO(2n), obtained in this way. We discuss in detail the former case of
all the Virasoro minimal models. In the Ising case our construction corresponds
to having a spin field as a defect operator; in the folded formulation this is
mapped onto an orbifolding of the boundary sine-Gordon theory at $\beta^2/8\pi
= 1/8$, or a version of the anisotropic Kondo model.
|
[
{
"created": "Mon, 25 Aug 1997 22:57:14 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Aug 1997 17:39:04 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"LeClair",
"A.",
""
],
[
"Ludwig",
"A. W. W.",
""
]
] |
We describe a general way of constructing integrable defect theories as perturbations of conformal field theory by local defect operators. The method relies on folding the system onto a boundary field theory of twice the central charge. The classification of integrable defect theories obtained in this way parallels that of integrable bulk theories which are a perturbation of the tensor product of two conformal field theories. These include local defect perturbations of all $c<1$ minimal models, as well as of the coset theories based on SO(2n), obtained in this way. We discuss in detail the former case of all the Virasoro minimal models. In the Ising case our construction corresponds to having a spin field as a defect operator; in the folded formulation this is mapped onto an orbifolding of the boundary sine-Gordon theory at $\beta^2/8\pi = 1/8$, or a version of the anisotropic Kondo model.
| 10.427755
| 10.756836
| 11.49749
| 10.493377
| 10.169673
| 10.531368
| 10.187865
| 10.168321
| 9.91449
| 13.137131
| 9.708437
| 10.118694
| 10.480635
| 9.869585
| 9.969401
| 10.288329
| 9.74798
| 9.943953
| 10.047752
| 10.751637
| 9.812404
|
1711.03561
|
Avner Karasik
|
Efrat Gerchkovitz and Avner Karasik
|
New Vortex-String Worldsheet Theories from Supersymmetric Localization
|
64 pages, typos corrected
| null | null |
WIS/04/17-Nov-DPPA
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use supersymmetric localization techniques to study the low-energy
dynamics of BPS vortex-strings in four-dimensional N=2 theories. We focus on
theories with SU(Nc)xU(1) gauge group and Nf hypermultiplets, all in the
fundamental representation of SU(Nc) but with general U(1) charges. Recently,
we proposed a condition that determines whether the low-energy string dynamics
is captured by a two-dimensional worldsheet theory that decouples from the
bulk. For strings for which this decoupling applies, we propose a prescription
for extracting the two-sphere partition function of the string worldsheet
theory from the four-ellipsoid partition function of the parent theory. We
obtain a general formula for the worldsheet two-sphere partition function in
terms of the parameters of the four-dimensional theory and identify N=(2,2)
GLSMs that possess these partition functions in a large class of examples. In
these examples, the weak coupling regime of the four-dimensional theory is
mapped to the weak coupling regime of the worldsheet theory. In addition, we
study the classical string zero-modes in flat space and obtain predictions for
the worldsheet spectra, which agree with the low-energy spectra of the GLSMs
obtained in the localization analysis. For Nf=2Nc=4, we discuss the map between
string worldsheet theories under four-dimensional S-duality and use our
prescription to study examples in which the weak coupling regime of the
four-dimensional theory is mapped to the strong coupling regime of the
worldsheet theory.
|
[
{
"created": "Thu, 9 Nov 2017 19:04:42 GMT",
"version": "v1"
},
{
"created": "Sun, 12 Aug 2018 10:11:41 GMT",
"version": "v2"
}
] |
2018-08-14
|
[
[
"Gerchkovitz",
"Efrat",
""
],
[
"Karasik",
"Avner",
""
]
] |
We use supersymmetric localization techniques to study the low-energy dynamics of BPS vortex-strings in four-dimensional N=2 theories. We focus on theories with SU(Nc)xU(1) gauge group and Nf hypermultiplets, all in the fundamental representation of SU(Nc) but with general U(1) charges. Recently, we proposed a condition that determines whether the low-energy string dynamics is captured by a two-dimensional worldsheet theory that decouples from the bulk. For strings for which this decoupling applies, we propose a prescription for extracting the two-sphere partition function of the string worldsheet theory from the four-ellipsoid partition function of the parent theory. We obtain a general formula for the worldsheet two-sphere partition function in terms of the parameters of the four-dimensional theory and identify N=(2,2) GLSMs that possess these partition functions in a large class of examples. In these examples, the weak coupling regime of the four-dimensional theory is mapped to the weak coupling regime of the worldsheet theory. In addition, we study the classical string zero-modes in flat space and obtain predictions for the worldsheet spectra, which agree with the low-energy spectra of the GLSMs obtained in the localization analysis. For Nf=2Nc=4, we discuss the map between string worldsheet theories under four-dimensional S-duality and use our prescription to study examples in which the weak coupling regime of the four-dimensional theory is mapped to the strong coupling regime of the worldsheet theory.
| 5.889885
| 5.922818
| 6.739516
| 5.542235
| 5.945522
| 6.164648
| 6.005984
| 5.640012
| 5.693018
| 7.17955
| 5.687985
| 5.79063
| 6.455127
| 5.886977
| 5.90187
| 5.869712
| 5.928459
| 5.650558
| 5.78136
| 6.125347
| 5.663485
|
hep-th/9809022
|
Joe Polchinski
|
Amanda W. Peet and Joseph Polchinski
|
UV/IR Relations in AdS Dynamics
|
14 pages, LaTeX. Extended discussion of $p=1$, minor clarifications,
added references and acknowledgments
|
Phys.Rev.D59:065011,1999
|
10.1103/PhysRevD.59.065011
|
NSF-ITP-98-086
|
hep-th
| null |
We point out that two distinct distance--energy relations have been discussed
in the AdS/CFT correspondence. In conformal backgrounds they differ only in
normalization, but in nonconformal backgrounds they differ in functional form.
We discuss the relation to probe processes, the holographic principle, and
black hole entropies.
|
[
{
"created": "Thu, 3 Sep 1998 00:48:12 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Sep 1998 23:38:52 GMT",
"version": "v2"
}
] |
2009-10-09
|
[
[
"Peet",
"Amanda W.",
""
],
[
"Polchinski",
"Joseph",
""
]
] |
We point out that two distinct distance--energy relations have been discussed in the AdS/CFT correspondence. In conformal backgrounds they differ only in normalization, but in nonconformal backgrounds they differ in functional form. We discuss the relation to probe processes, the holographic principle, and black hole entropies.
| 14.914842
| 11.35913
| 11.52616
| 11.641664
| 12.810589
| 11.982327
| 11.312886
| 11.541196
| 11.181777
| 12.190578
| 11.522811
| 11.916956
| 12.95558
| 11.93403
| 12.510672
| 12.400984
| 11.562136
| 12.328505
| 12.150859
| 13.131077
| 12.208354
|
1206.1338
|
Anzhong Wang
|
Kai Lin, Shinji Mukohyama, and Anzhong Wang
|
Solar system tests and interpretation of gauge field and Newtonian
prepotential in general covariant Ho\v{r}ava-Lifshitz gravity
|
revtex4, 16 pages without figures. Phys. Rev. D86, 104024 (2012)
| null |
10.1103/PhysRevD.86.104024
|
IPMU12-0115
|
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study spherically symmetric, stationary vacuum configurations in general
covariant theory (U(1) extension) of Ho\v{r}ava-Lifshitz gravity with the
projectability condition and an arbitrary coupling constant $\lambda$, and
obtain all the solutions in closed forms. If the gauge field $A$ and the
Newtonian prepotential $\varphi$ do not directly couple to matter fields, the
theory is inconsistent with solar system tests for $\lambda\not=1$, no matter
how small $|\lambda-1|$ is. This is shown to be true also with the most general
ansatz of spherical (but not necessarily stationary) configurations. Therefore,
to be consistent with observations, one needs either to find a mechanism to
restrict $\lambda$ precisely to $\lambda_{GR}=1$, or to consider $A$ and/or
$\varphi$ as parts of the 4-dimensional metric on which matter fields
propagate. In the latter, requiring that the line element be invariant not only
under the foliation-preserving diffeomorphism but also under the local U(1)
transformations, we propose the replacements, $N \rightarrow N - \upsilon(A -
{\cal{A}})/c^2$ and $N^i \rightarrow N^i+N\nabla^{i}\varphi$, where $\upsilon$
is a dimensionless coupling constant to be constrained by observations, $N$ and
$N^i$ are, respectively, the lapse function and shift vector, and ${\cal{A}}
\equiv - \dot{\varphi} + N^i\nabla_{i}\varphi + N(\nabla_{i}\varphi)^2/2$. With
this prescription, we show explicitly that the aforementioned solutions are
consistent with solar system tests for both $\lambda=1$ and $\lambda\not=1$,
provided that $|\upsilon-1|<10^{-5}$. From this result, the physical and
geometrical interpretations of the fields $A$ and $\varphi$ become clear.
However, it still remains to be understood how to obtain such a prescription
from the action principle.
|
[
{
"created": "Wed, 6 Jun 2012 20:11:01 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Oct 2012 14:35:45 GMT",
"version": "v2"
},
{
"created": "Mon, 7 Jan 2013 01:58:41 GMT",
"version": "v3"
}
] |
2015-06-05
|
[
[
"Lin",
"Kai",
""
],
[
"Mukohyama",
"Shinji",
""
],
[
"Wang",
"Anzhong",
""
]
] |
We study spherically symmetric, stationary vacuum configurations in general covariant theory (U(1) extension) of Ho\v{r}ava-Lifshitz gravity with the projectability condition and an arbitrary coupling constant $\lambda$, and obtain all the solutions in closed forms. If the gauge field $A$ and the Newtonian prepotential $\varphi$ do not directly couple to matter fields, the theory is inconsistent with solar system tests for $\lambda\not=1$, no matter how small $|\lambda-1|$ is. This is shown to be true also with the most general ansatz of spherical (but not necessarily stationary) configurations. Therefore, to be consistent with observations, one needs either to find a mechanism to restrict $\lambda$ precisely to $\lambda_{GR}=1$, or to consider $A$ and/or $\varphi$ as parts of the 4-dimensional metric on which matter fields propagate. In the latter, requiring that the line element be invariant not only under the foliation-preserving diffeomorphism but also under the local U(1) transformations, we propose the replacements, $N \rightarrow N - \upsilon(A - {\cal{A}})/c^2$ and $N^i \rightarrow N^i+N\nabla^{i}\varphi$, where $\upsilon$ is a dimensionless coupling constant to be constrained by observations, $N$ and $N^i$ are, respectively, the lapse function and shift vector, and ${\cal{A}} \equiv - \dot{\varphi} + N^i\nabla_{i}\varphi + N(\nabla_{i}\varphi)^2/2$. With this prescription, we show explicitly that the aforementioned solutions are consistent with solar system tests for both $\lambda=1$ and $\lambda\not=1$, provided that $|\upsilon-1|<10^{-5}$. From this result, the physical and geometrical interpretations of the fields $A$ and $\varphi$ become clear. However, it still remains to be understood how to obtain such a prescription from the action principle.
| 5.459724
| 5.648921
| 5.821717
| 5.335775
| 5.517166
| 5.491891
| 5.665121
| 5.249354
| 5.454448
| 5.855839
| 5.533522
| 5.631104
| 5.426535
| 5.30455
| 5.399461
| 5.482853
| 5.396797
| 5.377573
| 5.343862
| 5.400246
| 5.393501
|
hep-th/0005075
|
Uwe Trittmann
|
U. Trittmann
|
On the Bosonic Spectrum of QCD(1+1) with SU(N) Currents
|
17pp., 9 figures; left eigenfunctions replaced by right ones,
associated minor changes in text
|
Nucl.Phys.B587:311-327,2000
|
10.1016/S0550-3213(00)00469-7
| null |
hep-th
| null |
In this note we calculate the spectrum of two-dimensional QCD. We formulate
the theory with SU(N_c) currents rather than with fermionic operators. We
construct the Hamiltonian matrix in DLCQ formulation as a function of the
harmonic resolution K and the numbers of flavors N_f and colors N_c. The
resulting numerical eigenvalue spectrum is free from trivial multi-particle
states which obscured previous results. The well-known 't Hooft and large N_f
spectra are reproduced. In the case of adjoint fermions we present some new
results.
|
[
{
"created": "Tue, 9 May 2000 00:42:54 GMT",
"version": "v1"
},
{
"created": "Thu, 18 May 2000 19:52:05 GMT",
"version": "v2"
},
{
"created": "Thu, 26 Oct 2000 20:17:33 GMT",
"version": "v3"
},
{
"created": "Tue, 23 Jul 2002 16:24:06 GMT",
"version": "v4"
}
] |
2008-11-26
|
[
[
"Trittmann",
"U.",
""
]
] |
In this note we calculate the spectrum of two-dimensional QCD. We formulate the theory with SU(N_c) currents rather than with fermionic operators. We construct the Hamiltonian matrix in DLCQ formulation as a function of the harmonic resolution K and the numbers of flavors N_f and colors N_c. The resulting numerical eigenvalue spectrum is free from trivial multi-particle states which obscured previous results. The well-known 't Hooft and large N_f spectra are reproduced. In the case of adjoint fermions we present some new results.
| 13.562002
| 12.096312
| 14.656422
| 11.696053
| 12.975289
| 14.270665
| 14.10627
| 11.93333
| 12.790064
| 16.897402
| 12.065852
| 12.209467
| 12.153255
| 12.339826
| 12.854035
| 12.751779
| 13.350663
| 12.311392
| 11.98692
| 12.1897
| 12.007696
|
1412.7953
|
Guillermo A. Silva
|
Alejandro Giordano, Nicolas E. Grandi and Guillermo A. Silva
|
Holographic thermalization of charged operators
|
28 pages, 19 figures
|
J. High Energ. Phys. (2015) 2015: 16
|
10.1007/JHEP05(2015)016
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study a light-like charged collapsing shell in AdS-Reissner-Nordstrom
spacetime, investigating whether the corresponding Vaidya metric is supported
by matter that satisfies the null energy condition. We find that, if the
absolute value of the charge decreases during the collapse, energy conditions
are fulfilled everywhere in spacetime. On the other hand, if the absolute value
of the charge increases, the metric does not satisfy energy conditions in the
IR region. Therefore, from the gauge/gravity perspective, this last case is
only useful to study the thermalization of the UV degrees of freedom. For all
these geometries, we probe the thermalization process with two point
correlators of charged operators, finding that the thermalization time grows
with the charge of the operator, as well as with the dimension of space.
|
[
{
"created": "Fri, 26 Dec 2014 16:38:26 GMT",
"version": "v1"
}
] |
2017-10-10
|
[
[
"Giordano",
"Alejandro",
""
],
[
"Grandi",
"Nicolas E.",
""
],
[
"Silva",
"Guillermo A.",
""
]
] |
We study a light-like charged collapsing shell in AdS-Reissner-Nordstrom spacetime, investigating whether the corresponding Vaidya metric is supported by matter that satisfies the null energy condition. We find that, if the absolute value of the charge decreases during the collapse, energy conditions are fulfilled everywhere in spacetime. On the other hand, if the absolute value of the charge increases, the metric does not satisfy energy conditions in the IR region. Therefore, from the gauge/gravity perspective, this last case is only useful to study the thermalization of the UV degrees of freedom. For all these geometries, we probe the thermalization process with two point correlators of charged operators, finding that the thermalization time grows with the charge of the operator, as well as with the dimension of space.
| 8.459977
| 7.798488
| 7.999272
| 7.278855
| 7.891911
| 8.187011
| 8.293723
| 7.630937
| 7.853163
| 8.989834
| 7.918857
| 7.708649
| 8.17898
| 7.898202
| 7.766395
| 8.024099
| 7.88048
| 7.960473
| 7.848113
| 8.988676
| 7.859199
|
1203.1856
|
Stanislaw Mrowczynski
|
Alina Czajka and Stanislaw Mrowczynski
|
N=4 Super Yang-Mills Plasma
|
minor errors corrected
|
Physical Review D 86, 025017 (2012)
|
10.1103/PhysRevD.86.025017
| null |
hep-th hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The N=4 super Yang-Mills plasma is studied in the regime of weak coupling.
Collective excitations and collisional processes are discussed. Since the
Keldysh-Schwinger approach is used, the collective excitations in both
equilibrium and non-equilibrium plasma are under consideration. The dispersion
equations of gluon, fermion, and scalar modes are written down and the
self-energies, which enter the equations, are computed in the Hard Loop
Approximation. The self-energies are discussed in the context of effective
action which is also given. The gluon modes and fermion ones appear to be the
same as those in the QCD plasma of gluons and massless quarks. The scalar modes
are as of a free relativistic massive particle. The binary collisional
processes, which occur at the lowest nontrivial order of the coupling constant,
are reviewed and then the transport properties of the plasma are discussed. The
N=4 super Yang-Mills plasma is finally concluded to be very similar the QCD
plasma of gluons and light quarks. The differences mostly reflect different
numbers of degrees of freedom in the two systems.
|
[
{
"created": "Thu, 8 Mar 2012 17:25:55 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Apr 2012 01:29:15 GMT",
"version": "v2"
},
{
"created": "Thu, 24 May 2012 18:10:06 GMT",
"version": "v3"
},
{
"created": "Mon, 10 Nov 2014 11:05:34 GMT",
"version": "v4"
}
] |
2015-03-20
|
[
[
"Czajka",
"Alina",
""
],
[
"Mrowczynski",
"Stanislaw",
""
]
] |
The N=4 super Yang-Mills plasma is studied in the regime of weak coupling. Collective excitations and collisional processes are discussed. Since the Keldysh-Schwinger approach is used, the collective excitations in both equilibrium and non-equilibrium plasma are under consideration. The dispersion equations of gluon, fermion, and scalar modes are written down and the self-energies, which enter the equations, are computed in the Hard Loop Approximation. The self-energies are discussed in the context of effective action which is also given. The gluon modes and fermion ones appear to be the same as those in the QCD plasma of gluons and massless quarks. The scalar modes are as of a free relativistic massive particle. The binary collisional processes, which occur at the lowest nontrivial order of the coupling constant, are reviewed and then the transport properties of the plasma are discussed. The N=4 super Yang-Mills plasma is finally concluded to be very similar the QCD plasma of gluons and light quarks. The differences mostly reflect different numbers of degrees of freedom in the two systems.
| 6.941055
| 6.336737
| 7.267981
| 6.596835
| 7.077307
| 6.165624
| 6.361125
| 6.435009
| 7.087103
| 7.437972
| 6.786469
| 6.790524
| 6.817283
| 6.823605
| 6.814329
| 6.642013
| 6.633098
| 6.64282
| 6.886057
| 6.874201
| 6.7528
|
2204.14074
|
Aleksandr Popolitov
|
S.Barseghyan, A.Popolitov
|
The "Null-A" superintegrability for monomial matrix models
| null |
Annals of Physics, available online 28 December 2022, 169207
|
10.1016/j.aop.2022.169207
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We find that superintegrability (character expansion) property persists in
the exotic sector of the monomial non-Gaussian matrix model, with potential
$\Tr X^r$, in pure phase, where the naive partition function $\langle 1
\rangle$ vanishes. The role of the (anomaly-corrected) partition function is
played by $\left\langle\chi_\rho\right\rangle$ -- the Schur average of the
suitably chosen \textit{square} partiton $\rho$; such partitions are well-known
to correspond to singular vectors of the Virasoro algebra. Further, non-zero
are only Schur averages $\left\langle \chi_\mu\right\rangle$ for such $\mu$
that have $\rho$ as their $r$-core, and superintegrability formula features the
value of the \textit{skew} Schur function $\chi_{\mu/\rho}$ at special point.
The associated topological recursion and Harer-Zagier formula generalizations
so far remain obscure.
|
[
{
"created": "Fri, 29 Apr 2022 13:13:32 GMT",
"version": "v1"
}
] |
2023-01-02
|
[
[
"Barseghyan",
"S.",
""
],
[
"Popolitov",
"A.",
""
]
] |
We find that superintegrability (character expansion) property persists in the exotic sector of the monomial non-Gaussian matrix model, with potential $\Tr X^r$, in pure phase, where the naive partition function $\langle 1 \rangle$ vanishes. The role of the (anomaly-corrected) partition function is played by $\left\langle\chi_\rho\right\rangle$ -- the Schur average of the suitably chosen \textit{square} partiton $\rho$; such partitions are well-known to correspond to singular vectors of the Virasoro algebra. Further, non-zero are only Schur averages $\left\langle \chi_\mu\right\rangle$ for such $\mu$ that have $\rho$ as their $r$-core, and superintegrability formula features the value of the \textit{skew} Schur function $\chi_{\mu/\rho}$ at special point. The associated topological recursion and Harer-Zagier formula generalizations so far remain obscure.
| 13.380768
| 14.092033
| 15.41119
| 12.836759
| 13.107233
| 14.498405
| 14.223922
| 13.426041
| 12.958882
| 17.133263
| 12.140153
| 12.73355
| 13.811119
| 12.298484
| 13.348607
| 12.62906
| 12.908329
| 12.871574
| 12.875295
| 12.876648
| 12.344393
|
1604.08422
|
Chiang-Mei Chen
|
Hua Bi Zeng, Yu Tian, Zhe Yong Fan, Chiang-Mei Chen
|
Nonlinear Transport in a Two Dimensional Holographic Superconductor
|
5 pages, 4 figures, revtex4
|
Phys. Rev. D 93, 121901 (2016)
|
10.1103/PhysRevD.93.121901
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The problem of nonlinear transport in a two dimensional superconductor with
an applied oscillating electric field is solved by the holographic method. The
complex conductivity can be computed from the dynamics of the current for both
near- and non-equilibrium regimes. The limit of weak electric field corresponds
to the near equilibrium superconducting regime, where the charge response is
linear and the conductivity develops a gap determined by the condensate. A
larger electric field drives the system into a superconducting non-equilibrium
steady state, where the nonlinear conductivity is quadratic with respect to the
electric field. Keeping increasing the amplitude of applied electric field
results in a far-from-equilibrium non-superconducting steady state with a
universal linear conductivity of one. In lower temperature regime we also find
chaotic behavior of superconducting gap, which results in a non-monotonic field
dependent nonlinear conductivity.
|
[
{
"created": "Thu, 28 Apr 2016 14:02:39 GMT",
"version": "v1"
}
] |
2016-06-22
|
[
[
"Zeng",
"Hua Bi",
""
],
[
"Tian",
"Yu",
""
],
[
"Fan",
"Zhe Yong",
""
],
[
"Chen",
"Chiang-Mei",
""
]
] |
The problem of nonlinear transport in a two dimensional superconductor with an applied oscillating electric field is solved by the holographic method. The complex conductivity can be computed from the dynamics of the current for both near- and non-equilibrium regimes. The limit of weak electric field corresponds to the near equilibrium superconducting regime, where the charge response is linear and the conductivity develops a gap determined by the condensate. A larger electric field drives the system into a superconducting non-equilibrium steady state, where the nonlinear conductivity is quadratic with respect to the electric field. Keeping increasing the amplitude of applied electric field results in a far-from-equilibrium non-superconducting steady state with a universal linear conductivity of one. In lower temperature regime we also find chaotic behavior of superconducting gap, which results in a non-monotonic field dependent nonlinear conductivity.
| 11.06844
| 11.649891
| 11.507807
| 10.908352
| 11.268556
| 12.244328
| 11.177938
| 11.306853
| 10.900363
| 14.142925
| 11.296077
| 10.343414
| 11.178101
| 10.961578
| 10.900758
| 10.406825
| 10.759154
| 10.728466
| 10.610441
| 11.203844
| 10.414177
|
hep-th/0512169
|
Ali Chamseddine
|
Ali H. Chamseddine and Alain Connes
|
Scale Invariance in the Spectral Action
|
27 pages, spectral function defined, one reference added. Form to be
published in Journal Mathematical Physics
|
J.Math.Phys.47:063504,2006
|
10.1063/1.2196748
| null |
hep-th
| null |
The arbitrary mass scale in the spectral action for the Dirac operator in the
spectral action is made dynamical by introducing a dilaton field. We evaluate
all the low-energy terms in the spectral action and determine the dilaton
couplings. These results are applied to the spectral action of the
noncommutative space defined by the standard model. We show that the effective
action for all matter couplings is scale invariant, except for the dilaton
kinetic term and Einstein-Hilbert term. The resulting action is almost
identical to the one proposed for making the standard model scale invariant as
well as the model for extended inflation and has the same low-energy limit as
the Randall-Sundrum model. Remarkably, all desirable features with correct
signs for the relevant terms are obtained uniquely and without any fine tuning.
|
[
{
"created": "Wed, 14 Dec 2005 20:09:44 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Dec 2005 21:27:29 GMT",
"version": "v2"
},
{
"created": "Thu, 16 Mar 2006 13:43:09 GMT",
"version": "v3"
}
] |
2009-11-11
|
[
[
"Chamseddine",
"Ali H.",
""
],
[
"Connes",
"Alain",
""
]
] |
The arbitrary mass scale in the spectral action for the Dirac operator in the spectral action is made dynamical by introducing a dilaton field. We evaluate all the low-energy terms in the spectral action and determine the dilaton couplings. These results are applied to the spectral action of the noncommutative space defined by the standard model. We show that the effective action for all matter couplings is scale invariant, except for the dilaton kinetic term and Einstein-Hilbert term. The resulting action is almost identical to the one proposed for making the standard model scale invariant as well as the model for extended inflation and has the same low-energy limit as the Randall-Sundrum model. Remarkably, all desirable features with correct signs for the relevant terms are obtained uniquely and without any fine tuning.
| 9.834823
| 10.078393
| 10.818798
| 9.678578
| 10.334158
| 10.237801
| 10.19558
| 10.266134
| 9.647813
| 11.176367
| 9.493367
| 9.664405
| 9.663905
| 9.347252
| 9.819395
| 9.530725
| 9.357698
| 9.735384
| 9.553329
| 9.529085
| 9.520597
|
hep-th/9609209
|
Mariano Quiros
|
I. Antoniadis and M. Quiros
|
Large radii and string unification
|
12 pages, LateX, no figures. Version to appear in Physics Letters B.
One reference added
|
Phys.Lett. B392 (1997) 61-66
|
10.1016/S0370-2693(96)01525-0
|
CPTH-S465.0996 and IEM-FT-143/96
|
hep-th hep-ph
| null |
We study strong coupling effects in four-dimensional heterotic string models
where supersymmetry is spontaneously broken with large internal dimensions,
consistently with perturbative unification of gauge couplings. These effects
give rise to thresholds associated to the dual theories: type I superstring or
M-theory. In the case of one large dimension, we find that these thresholds
appear close to the field-theoretical unification scale $\sim 10^{16}$ GeV,
offering an appealing scenario for unification of gravitational and gauge
interactions. We also identify the inverse size of the eleventh dimension of
M-theory with the energy at which four-fermion effective operators become
important.
|
[
{
"created": "Thu, 26 Sep 1996 16:30:42 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Nov 1996 11:03:00 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Antoniadis",
"I.",
""
],
[
"Quiros",
"M.",
""
]
] |
We study strong coupling effects in four-dimensional heterotic string models where supersymmetry is spontaneously broken with large internal dimensions, consistently with perturbative unification of gauge couplings. These effects give rise to thresholds associated to the dual theories: type I superstring or M-theory. In the case of one large dimension, we find that these thresholds appear close to the field-theoretical unification scale $\sim 10^{16}$ GeV, offering an appealing scenario for unification of gravitational and gauge interactions. We also identify the inverse size of the eleventh dimension of M-theory with the energy at which four-fermion effective operators become important.
| 8.82969
| 8.839017
| 8.627307
| 8.432194
| 9.061672
| 9.210766
| 8.98682
| 9.468325
| 8.43559
| 9.412874
| 8.810528
| 8.794434
| 8.864652
| 8.644877
| 8.539221
| 8.852502
| 8.67576
| 8.575592
| 8.531401
| 8.67355
| 8.48984
|
hep-th/9911065
|
Prasanta K. Tripathy
|
Prasanta K. Tripathy and Fidel A. Schaposnik
|
Monopoles in non-Abelian Einstein-Born-Infeld Theory
|
10 pages, 3 figures
|
Phys.Lett. B472 (2000) 89-93
|
10.1016/S0370-2693(99)01417-3
|
La Plata-Th 99/11, IP-BBSR 99/32
|
hep-th gr-qc
| null |
We study static spherically symmetric monopole solutions in non-Abelian
Einstein-Born-Infeld-Higgs model with normal trace structure. These monopoles
are similar to the corresponding solution with symmetrised trace structure and
are existing only up to some critical value of the strength of the
gravitational interaction. In addition, similar to their flat space
counterpart, they also admit a critical value of the Born-Infeld parameter
$\b$.
|
[
{
"created": "Wed, 10 Nov 1999 14:05:40 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Tripathy",
"Prasanta K.",
""
],
[
"Schaposnik",
"Fidel A.",
""
]
] |
We study static spherically symmetric monopole solutions in non-Abelian Einstein-Born-Infeld-Higgs model with normal trace structure. These monopoles are similar to the corresponding solution with symmetrised trace structure and are existing only up to some critical value of the strength of the gravitational interaction. In addition, similar to their flat space counterpart, they also admit a critical value of the Born-Infeld parameter $\b$.
| 11.354058
| 9.465286
| 11.335855
| 9.328647
| 10.200436
| 9.166127
| 8.610582
| 9.187973
| 8.696374
| 11.407107
| 8.84599
| 9.890774
| 10.326292
| 9.628543
| 9.570672
| 9.800138
| 10.024554
| 9.552733
| 9.575973
| 10.713188
| 9.489673
|
1807.09698
|
David Andriot
|
David Andriot
|
New constraints on classical de Sitter: flirting with the swampland
|
v2: few additions and clarifications
| null |
10.1002/prop.201800103
|
CERN-TH-2018-173
|
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the existence and stability of classical de Sitter solutions of type
II supergravities with parallel Dp-branes and orientifold Op-planes. Together
with the dilaton and volume scalar fields, we consider a third one that
distinguishes between parallel and transverse directions to the Dp/Op. We
derive the complete scalar potential for these three fields. This formalism
allows us to reproduce known constraints obtained in 10d, and to derive new
ones. Specifying to group manifolds with constant fluxes, we exclude a large
region of parameter space, forbidding de Sitter solutions on nilmanifolds,
semi-simple group manifolds, and some solvmanifolds. In the small remaining
region, we identify a stability island, where the three scalars could be
stabilized in any de Sitter solution. We discuss these results in the swampland
context.
|
[
{
"created": "Wed, 25 Jul 2018 16:24:03 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Nov 2018 16:30:54 GMT",
"version": "v2"
}
] |
2021-07-28
|
[
[
"Andriot",
"David",
""
]
] |
We study the existence and stability of classical de Sitter solutions of type II supergravities with parallel Dp-branes and orientifold Op-planes. Together with the dilaton and volume scalar fields, we consider a third one that distinguishes between parallel and transverse directions to the Dp/Op. We derive the complete scalar potential for these three fields. This formalism allows us to reproduce known constraints obtained in 10d, and to derive new ones. Specifying to group manifolds with constant fluxes, we exclude a large region of parameter space, forbidding de Sitter solutions on nilmanifolds, semi-simple group manifolds, and some solvmanifolds. In the small remaining region, we identify a stability island, where the three scalars could be stabilized in any de Sitter solution. We discuss these results in the swampland context.
| 11.612805
| 10.717812
| 13.270558
| 10.169044
| 11.238382
| 10.867057
| 10.644161
| 10.688124
| 10.118716
| 14.241217
| 10.20645
| 10.613462
| 11.52749
| 10.660128
| 10.894107
| 10.779712
| 10.328389
| 10.653659
| 10.548951
| 12.254098
| 10.527592
|
hep-th/0606169
|
Motomu Tsuda
|
Kazunari Shima and Motomu Tsuda
|
Linearizing N = 3 nonlinear supersymmetry in two dimensions
|
7 pages, Latex
|
Phys.Lett.B641:101-104,2006
|
10.1016/j.physletb.2006.08.023
| null |
hep-th
| null |
We investigate for N = 3 supersymmetry (SUSY) in D = 2 the algebraic relation
between the Volkov-Akulov (VA) model of nonlinear (NL) SUSY and a
(renormalizable) SO(3) vector supermultiplet of linear (L) SUSY. We derive SUSY
and SO(3) invariant relations between component fields of the vector
supermultiplet and Nambu-Goldstone (NG) fermions of the VA model at leading
orders by using three arbitrary dimensionless parameters which can be recasted
as the vacuum expectation values of auxiliary fields in the vector
supermultiplet. Two different irreducible representations of SO(3)
super-Poincar\'e symmetry which appear in the same massless state are
compatible with each other in the linearization of NL SUSY. The equivalence of
a NL SUSY VA action to a free L SUSY action containing the Fayet-Iliopoulos
(FI) D term which indicates a spontaneously SUSY breaking is also discussed
explicitly according to the SUSY invariant relations.
|
[
{
"created": "Mon, 19 Jun 2006 05:03:29 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Shima",
"Kazunari",
""
],
[
"Tsuda",
"Motomu",
""
]
] |
We investigate for N = 3 supersymmetry (SUSY) in D = 2 the algebraic relation between the Volkov-Akulov (VA) model of nonlinear (NL) SUSY and a (renormalizable) SO(3) vector supermultiplet of linear (L) SUSY. We derive SUSY and SO(3) invariant relations between component fields of the vector supermultiplet and Nambu-Goldstone (NG) fermions of the VA model at leading orders by using three arbitrary dimensionless parameters which can be recasted as the vacuum expectation values of auxiliary fields in the vector supermultiplet. Two different irreducible representations of SO(3) super-Poincar\'e symmetry which appear in the same massless state are compatible with each other in the linearization of NL SUSY. The equivalence of a NL SUSY VA action to a free L SUSY action containing the Fayet-Iliopoulos (FI) D term which indicates a spontaneously SUSY breaking is also discussed explicitly according to the SUSY invariant relations.
| 8.150565
| 7.731076
| 9.110411
| 7.442105
| 8.239519
| 7.618252
| 7.878314
| 7.638236
| 7.822489
| 9.006328
| 7.477422
| 8.079105
| 8.15179
| 8.03094
| 7.906428
| 8.208048
| 8.0467
| 7.866468
| 7.931366
| 8.225531
| 7.560754
|
2211.16411
|
Timothy Watson
|
T. B. Watson and Z. E. Musielak
|
On The Physical Non-Equivalence of Chiral Bases
| null | null | null | null |
hep-th math-ph math.MP quant-ph
|
http://creativecommons.org/licenses/by/4.0/
|
In this letter we seek to redress lingering misconceptions pertaining to the
physicality of the chiral phase of Dirac bi-spinor fields. Demonstrably, the
most general first-order partial differential equation for spinor wavefunctions
that can be obtained in Minkowski spacetime is the Dirac-like equation which
leaves both the mass and chiral angles as free parameters, the so-called Chiral
Dirac Equation. Previously, claims have plauged the literature which assert
that any attempt to incorporate chirality by such a generalization can be
trivially reduced to the case the nominal Dirac Equation. These statements are
incorrect. In this letter we present a formal proof demonstrating the physical
non-equivalence of particle states whose chiral angles differ, thereby
demonstrating unequivocally the physicality of the chiral basis.
|
[
{
"created": "Tue, 29 Nov 2022 17:33:27 GMT",
"version": "v1"
}
] |
2022-11-30
|
[
[
"Watson",
"T. B.",
""
],
[
"Musielak",
"Z. E.",
""
]
] |
In this letter we seek to redress lingering misconceptions pertaining to the physicality of the chiral phase of Dirac bi-spinor fields. Demonstrably, the most general first-order partial differential equation for spinor wavefunctions that can be obtained in Minkowski spacetime is the Dirac-like equation which leaves both the mass and chiral angles as free parameters, the so-called Chiral Dirac Equation. Previously, claims have plauged the literature which assert that any attempt to incorporate chirality by such a generalization can be trivially reduced to the case the nominal Dirac Equation. These statements are incorrect. In this letter we present a formal proof demonstrating the physical non-equivalence of particle states whose chiral angles differ, thereby demonstrating unequivocally the physicality of the chiral basis.
| 14.535653
| 13.639905
| 12.90591
| 12.505425
| 13.070518
| 13.624297
| 14.120721
| 13.981552
| 12.404074
| 14.446386
| 14.289486
| 12.748815
| 12.643916
| 12.69416
| 12.282516
| 12.736076
| 12.987907
| 12.640103
| 12.622696
| 12.544045
| 12.622356
|
1502.05581
|
Marco Bill\~A^3
|
S. K. Ashok, M. Bill\'o, E. Dell'Aquila, M. Frau, R. R. John, A. Lerda
|
Non-perturbative studies of N=2 conformal quiver gauge theories
|
56 pages, 7 figures, PdfLaTeX. v2: a few references added, version to
appear on Fortschritte der Physik
|
Fortsch.Phys. 63 (2015) 259-293
|
10.1002/prop.201500012
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study N=2 super-conformal field theories in four dimensions that
correspond to mass-deformed linear quivers with n gauge groups and
(bi-)fundamental matter. We describe them using Seiberg-Witten curves obtained
from an M-theory construction and via the AGT correspondence. We take
particular care in obtaining the detailed relation between the parameters
appearing in these descriptions and the physical quantities of the quiver gauge
theories. This precise map allows us to efficiently reconstruct the
non-perturbative prepotential that encodes the effective IR properties of these
theories. We give explicit expressions in the cases n=1,2, also in the presence
of an Omega-background in the Nekrasov-Shatashvili limit. All our results are
successfully checked against those of the direct microscopic evaluation of the
prepotential a la Nekrasov using localization methods.
|
[
{
"created": "Thu, 19 Feb 2015 14:25:11 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Mar 2015 16:34:14 GMT",
"version": "v2"
}
] |
2019-08-09
|
[
[
"Ashok",
"S. K.",
""
],
[
"Billó",
"M.",
""
],
[
"Dell'Aquila",
"E.",
""
],
[
"Frau",
"M.",
""
],
[
"John",
"R. R.",
""
],
[
"Lerda",
"A.",
""
]
] |
We study N=2 super-conformal field theories in four dimensions that correspond to mass-deformed linear quivers with n gauge groups and (bi-)fundamental matter. We describe them using Seiberg-Witten curves obtained from an M-theory construction and via the AGT correspondence. We take particular care in obtaining the detailed relation between the parameters appearing in these descriptions and the physical quantities of the quiver gauge theories. This precise map allows us to efficiently reconstruct the non-perturbative prepotential that encodes the effective IR properties of these theories. We give explicit expressions in the cases n=1,2, also in the presence of an Omega-background in the Nekrasov-Shatashvili limit. All our results are successfully checked against those of the direct microscopic evaluation of the prepotential a la Nekrasov using localization methods.
| 8.371801
| 8.93413
| 10.028578
| 8.486047
| 9.244197
| 9.190253
| 8.776874
| 8.420326
| 8.379094
| 10.677379
| 7.920655
| 8.509581
| 8.833051
| 8.316828
| 8.288601
| 8.453452
| 8.24008
| 8.383467
| 8.381566
| 8.72925
| 8.382053
|
0909.3719
|
Jean Alexandre
|
J. Alexandre, K. Farakos, P. Pasipoularides, A. Tsapalis
|
Schwinger-Dyson approach for a Lifshitz-type Yukawa model
|
20 pages, 2 figures
|
Phys.Rev.D81:045002,2010
|
10.1103/PhysRevD.81.045002
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a 3+1 dimensional field theory at a Lifshitz point for a
dynamical critical exponent z=3, with a scalar and a fermion field coupled via
a Yukawa interaction. Using the non-perturbative Schwinger-Dyson approach we
calculate quantum corrections to the effective action. We demonstrate that a
first order derivative kinetic term as well as a mass term for the fermion
arise dynamically. This signals the restoration of Lorentz symmetry in the IR
regime of the single fermion model, although for theories with more than one
fermionic species such a conclusion will require fine-tuning of couplings. The
limitations of the model and our approach are discussed.
|
[
{
"created": "Mon, 21 Sep 2009 12:03:56 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Jan 2010 15:10:05 GMT",
"version": "v2"
}
] |
2010-02-02
|
[
[
"Alexandre",
"J.",
""
],
[
"Farakos",
"K.",
""
],
[
"Pasipoularides",
"P.",
""
],
[
"Tsapalis",
"A.",
""
]
] |
We consider a 3+1 dimensional field theory at a Lifshitz point for a dynamical critical exponent z=3, with a scalar and a fermion field coupled via a Yukawa interaction. Using the non-perturbative Schwinger-Dyson approach we calculate quantum corrections to the effective action. We demonstrate that a first order derivative kinetic term as well as a mass term for the fermion arise dynamically. This signals the restoration of Lorentz symmetry in the IR regime of the single fermion model, although for theories with more than one fermionic species such a conclusion will require fine-tuning of couplings. The limitations of the model and our approach are discussed.
| 7.893975
| 7.07153
| 7.634935
| 6.911017
| 7.73194
| 6.956798
| 7.319664
| 6.924744
| 6.637012
| 8.33818
| 7.170003
| 7.168345
| 7.327656
| 7.129726
| 7.213485
| 7.144885
| 7.170155
| 7.037097
| 7.082961
| 7.485209
| 7.083475
|
1407.2920
|
Daniele Steer
|
Jihad Mourad, Karim Noui, Dani\`ele A. Steer
|
Translation invariant time-dependent massive gravity: Hamiltonian
analysis
|
30 pages
| null |
10.1088/1475-7516/2014/09/034
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The canonical structure of the massive gravity in the first order moving
frame formalism is studied. We work in the simplified context of translation
invariant fields, with mass terms given by general non-derivative interactions,
invariant under the diagonal Lorentz group, depending on the moving frame as
well as a fixed reference frame. We prove that the only mass terms which give 5
propagating degrees of freedom are the dRGT mass terms, namely those which are
linear in the lapse. We also complete the Hamiltonian analysis with the
dynamical evolution of the system.
|
[
{
"created": "Thu, 10 Jul 2014 19:44:13 GMT",
"version": "v1"
}
] |
2015-06-22
|
[
[
"Mourad",
"Jihad",
""
],
[
"Noui",
"Karim",
""
],
[
"Steer",
"Danièle A.",
""
]
] |
The canonical structure of the massive gravity in the first order moving frame formalism is studied. We work in the simplified context of translation invariant fields, with mass terms given by general non-derivative interactions, invariant under the diagonal Lorentz group, depending on the moving frame as well as a fixed reference frame. We prove that the only mass terms which give 5 propagating degrees of freedom are the dRGT mass terms, namely those which are linear in the lapse. We also complete the Hamiltonian analysis with the dynamical evolution of the system.
| 13.173946
| 11.72401
| 12.997545
| 11.241702
| 12.04513
| 11.10232
| 11.280636
| 10.916539
| 11.884425
| 11.77428
| 12.118467
| 11.958496
| 12.199515
| 11.421144
| 11.791924
| 12.132756
| 11.912519
| 11.834322
| 11.83704
| 12.669965
| 12.640302
|
2107.05900
|
Yu. M. Zinoviev
|
M. V. Khabarov and Yu. M. Zinoviev
|
On massive spin-2 in the Fradkin-Vasiliev formalism. II. General massive
case
|
25 pages
|
Nucl. Phys. B973 (2021) 115591
|
10.1016/j.nuclphysb.2021.115591
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we apply the Fradkin-Vasiliev formalism based on the frame-like
gauge invariant description of the massive and massless spin 2 to the
construction of the cubic interactions vertices for massive spin 2
self-interaction as well as its gravitational interaction. In the first case we
show that the vertex can be reduced (by field redefinitions) to the set of the
trivially gauge invariant terms. There are four such terms which are not
equivalent om-shell and do not contain more than four derivatives. Moreover,
one their particular combination reproduces the minimal (with no more than two
derivatives) vertex. As for the gravitational vertex, we show that due to the
presence of the massless spin 2 there exist two abelian vertices (besides the
three trivially gauge invariant ones) which are not equivalent to any trivially
gauge invariant terms and can not be removed by field redefinitions. Moreover,
their existence appears to be crucial for the possibility to reproduce the
minimal two derivatives vertex.
|
[
{
"created": "Tue, 13 Jul 2021 07:57:31 GMT",
"version": "v1"
}
] |
2021-11-04
|
[
[
"Khabarov",
"M. V.",
""
],
[
"Zinoviev",
"Yu. M.",
""
]
] |
In this work we apply the Fradkin-Vasiliev formalism based on the frame-like gauge invariant description of the massive and massless spin 2 to the construction of the cubic interactions vertices for massive spin 2 self-interaction as well as its gravitational interaction. In the first case we show that the vertex can be reduced (by field redefinitions) to the set of the trivially gauge invariant terms. There are four such terms which are not equivalent om-shell and do not contain more than four derivatives. Moreover, one their particular combination reproduces the minimal (with no more than two derivatives) vertex. As for the gravitational vertex, we show that due to the presence of the massless spin 2 there exist two abelian vertices (besides the three trivially gauge invariant ones) which are not equivalent to any trivially gauge invariant terms and can not be removed by field redefinitions. Moreover, their existence appears to be crucial for the possibility to reproduce the minimal two derivatives vertex.
| 9.786583
| 9.246078
| 10.285255
| 8.742581
| 9.5429
| 8.911154
| 9.093492
| 9.131844
| 8.38039
| 10.996893
| 8.246693
| 8.639592
| 9.592907
| 8.922564
| 8.788141
| 8.979491
| 9.112403
| 8.757187
| 8.687031
| 9.638398
| 8.932771
|
hep-th/0312120
|
Akifumi Sako
|
Akifumi Sako
|
Noncommutative Cohomological Field Theories and Topological Aspects of
Matrix models
|
30 pages, LaTeX 2e. In ver.3 misprints corrected, published in
Noncommutative Geometry and Physics,p321-355,World Scientific
| null | null | null |
hep-th math-ph math.MP
| null |
We study topological aspects of matrix models and noncommutative
cohomological field theories (N.C.CohFT). N.C.CohFT have symmetry under the
arbitrary infinitesimal noncommutative parameter $\theta$ deformation. This
fact implies that N.C.CohFT possess a less sensitive topological property than
K-theory, but the classification of manifolds by N.C.CohFT has a possibility to
give a new view point of global characterization of noncommutative manifolds.
To investigate properties of N.C.CohFT, we construct some models whose fixed
point loci are given by sets of projection operators. Particularly, the
partition function on the Moyal plane is calculated by using a matrix model.
The moduli space of the matrix model is a union of Grassman manifolds. The
partition function of the matrix model is calculated using the Euler number of
the Grassman manifold. Identifying the N.C.CohFT with the matrix model, we get
the partition function of the N.C.CohFT. To check the independence of the
noncommutative parameters, we also study the moduli space in the large $\theta$
limit and the finite $\theta$, for the Moyal plane case. If the partition
function of N.C.CohFT is topological in the sense of the noncommutative
geometry, then it should have some relation with K-theory. Therefore we
investigate certain models of CohFT and N.C.CohFT from the point of view of
K-theory. These observations give us an analogy between CohFT and N.C.CohFT in
connection with K-theory. Furthermore, we verify it for the Moyal plane and
noncommutative torus cases that our partition functions are invariant under the
those deformations which do not change the K-theory. Finally, we discuss the
noncommutative cohomological Yang-Mills theory.
|
[
{
"created": "Thu, 11 Dec 2003 15:43:46 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Dec 2003 23:12:09 GMT",
"version": "v2"
},
{
"created": "Thu, 24 Nov 2005 16:40:54 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Sako",
"Akifumi",
""
]
] |
We study topological aspects of matrix models and noncommutative cohomological field theories (N.C.CohFT). N.C.CohFT have symmetry under the arbitrary infinitesimal noncommutative parameter $\theta$ deformation. This fact implies that N.C.CohFT possess a less sensitive topological property than K-theory, but the classification of manifolds by N.C.CohFT has a possibility to give a new view point of global characterization of noncommutative manifolds. To investigate properties of N.C.CohFT, we construct some models whose fixed point loci are given by sets of projection operators. Particularly, the partition function on the Moyal plane is calculated by using a matrix model. The moduli space of the matrix model is a union of Grassman manifolds. The partition function of the matrix model is calculated using the Euler number of the Grassman manifold. Identifying the N.C.CohFT with the matrix model, we get the partition function of the N.C.CohFT. To check the independence of the noncommutative parameters, we also study the moduli space in the large $\theta$ limit and the finite $\theta$, for the Moyal plane case. If the partition function of N.C.CohFT is topological in the sense of the noncommutative geometry, then it should have some relation with K-theory. Therefore we investigate certain models of CohFT and N.C.CohFT from the point of view of K-theory. These observations give us an analogy between CohFT and N.C.CohFT in connection with K-theory. Furthermore, we verify it for the Moyal plane and noncommutative torus cases that our partition functions are invariant under the those deformations which do not change the K-theory. Finally, we discuss the noncommutative cohomological Yang-Mills theory.
| 7.216937
| 7.297937
| 7.16409
| 6.791172
| 7.151616
| 6.97062
| 7.01522
| 7.01401
| 6.862667
| 7.522605
| 6.918489
| 7.016566
| 7.000772
| 6.860347
| 6.905988
| 6.966671
| 7.002807
| 6.882468
| 6.8846
| 7.097085
| 6.803693
|
1609.02889
|
Pavel Spirin
|
Yuri V. Grats and Pavel Spirin
|
Vacuum polarization and classical self-action near higher-dimensional
defects
|
25 pages
| null |
10.1140/epjc/s10052-017-4647-6
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyze the gravity-induced effects associated with a massless scalar
field in a higher-dimensional spacetime being the tensor product of
$(d-n)$-dimensional Minkowski space and $n$-dimensional
spherically/cylindrically-symmetric space with a solid/planar angle deficit.
These spacetimes are considered as simple models for a multidimensional global
monopole (if \mbox{$n\geqslant 3$}) or cosmic string (if $n=2$) with $(d-n-1)$
flat extra dimensions. Thus, we refer to them as conical backgrounds. In terms
of the angular deficit value, we derive the perturbative expression for the
scalar Green's function, valid for any $d\geqslant 3$ and $2\leqslant
n\leqslant d-1$, and compute it to the leading order. With the use of this
Green's function we compute the renormalized vacuum expectation value of the
field square $\langle \phi^{2}(x)\rangle_{\mathrm{ren}}$ and the renormalized
vacuum averaged of the scalar-field's energy-momentum tensor $\langle T_{M
N}(x)\rangle_{\mathrm{ren}}$ for arbitrary $d$ and $n$ from the interval
mentioned above and arbitrary coupling constant to the curvature $\xi$. In
particular, we revisit the computation of the vacuum polarization effects for a
non-minimally coupled massless scalar field in the spacetime of a straight
cosmic string. The same Green's function enables to consider the old purely
classical problem of the gravity-induced self-action of a classical pointlike
scalar or electric charge, placed at rest at some fixed point of the space
under consideration. To deal with divergences, which appear in consideration of
the both problems, we apply the dimensional-regularization technique, widely
used in quantum field theory (QFT). The explicit dependence of the results upon
the dimensionalities of both the bulk and conical submanifold, is discussed.
|
[
{
"created": "Fri, 9 Sep 2016 18:56:19 GMT",
"version": "v1"
}
] |
2017-03-08
|
[
[
"Grats",
"Yuri V.",
""
],
[
"Spirin",
"Pavel",
""
]
] |
We analyze the gravity-induced effects associated with a massless scalar field in a higher-dimensional spacetime being the tensor product of $(d-n)$-dimensional Minkowski space and $n$-dimensional spherically/cylindrically-symmetric space with a solid/planar angle deficit. These spacetimes are considered as simple models for a multidimensional global monopole (if \mbox{$n\geqslant 3$}) or cosmic string (if $n=2$) with $(d-n-1)$ flat extra dimensions. Thus, we refer to them as conical backgrounds. In terms of the angular deficit value, we derive the perturbative expression for the scalar Green's function, valid for any $d\geqslant 3$ and $2\leqslant n\leqslant d-1$, and compute it to the leading order. With the use of this Green's function we compute the renormalized vacuum expectation value of the field square $\langle \phi^{2}(x)\rangle_{\mathrm{ren}}$ and the renormalized vacuum averaged of the scalar-field's energy-momentum tensor $\langle T_{M N}(x)\rangle_{\mathrm{ren}}$ for arbitrary $d$ and $n$ from the interval mentioned above and arbitrary coupling constant to the curvature $\xi$. In particular, we revisit the computation of the vacuum polarization effects for a non-minimally coupled massless scalar field in the spacetime of a straight cosmic string. The same Green's function enables to consider the old purely classical problem of the gravity-induced self-action of a classical pointlike scalar or electric charge, placed at rest at some fixed point of the space under consideration. To deal with divergences, which appear in consideration of the both problems, we apply the dimensional-regularization technique, widely used in quantum field theory (QFT). The explicit dependence of the results upon the dimensionalities of both the bulk and conical submanifold, is discussed.
| 6.227446
| 6.20898
| 6.349421
| 6.15513
| 6.852025
| 6.383327
| 6.527534
| 6.346179
| 6.119552
| 6.798987
| 6.299472
| 6.27004
| 6.12138
| 6.164555
| 6.236619
| 6.153945
| 6.288666
| 6.211302
| 6.096367
| 6.077531
| 6.283626
|
hep-th/9805043
|
Clovis Wotzasek
|
Everton M. C. Abreu and Clovis Wotzasek
|
Interference Phenomenon for Different Chiral Bosonization Schemes
|
Revtex, twocolumn, minor changes, to appear as Rapid
Communication-PRD/Nov/98
|
Phys.Rev.D58:101701,1998
|
10.1103/PhysRevD.58.101701
| null |
hep-th
| null |
We study, in the framework put forward by Siegel\cite{WS} and by Floreanini
and Jackiw\cite{FJ} (FJ), the relationship between different chiral
bosonization schemes (CBS). This is done in the context of the soldering
formalism\cite{MS}, that considers the phenomenon of interference in the
quantum field theory\cite{ABW}. We propose a field redefinition that discloses
the presence of a noton, a nonmover field, in Siegel's formulation for chiral
bosons. The presence of a noton in the Siegel CBS is a new and surprising
result, that separates dynamics from symmetry. While the FJ component describes
the dynamics, it is the noton that carries the symmetry contents, acquiring
dynamics upon quantization and is fully responsible for the Siegel anomaly. The
diagonal representation proposed here is used to study the effect of quantum
interference between gauged rightons and leftons.
|
[
{
"created": "Fri, 8 May 1998 23:10:07 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Sep 1998 22:59:38 GMT",
"version": "v2"
}
] |
2010-01-06
|
[
[
"Abreu",
"Everton M. C.",
""
],
[
"Wotzasek",
"Clovis",
""
]
] |
We study, in the framework put forward by Siegel\cite{WS} and by Floreanini and Jackiw\cite{FJ} (FJ), the relationship between different chiral bosonization schemes (CBS). This is done in the context of the soldering formalism\cite{MS}, that considers the phenomenon of interference in the quantum field theory\cite{ABW}. We propose a field redefinition that discloses the presence of a noton, a nonmover field, in Siegel's formulation for chiral bosons. The presence of a noton in the Siegel CBS is a new and surprising result, that separates dynamics from symmetry. While the FJ component describes the dynamics, it is the noton that carries the symmetry contents, acquiring dynamics upon quantization and is fully responsible for the Siegel anomaly. The diagonal representation proposed here is used to study the effect of quantum interference between gauged rightons and leftons.
| 16.581341
| 12.930014
| 16.386675
| 13.681568
| 13.021065
| 12.881617
| 12.940731
| 13.424289
| 13.203067
| 17.048687
| 14.294536
| 14.73976
| 15.347821
| 14.78072
| 14.564343
| 14.714638
| 14.803192
| 14.741434
| 14.561165
| 14.902177
| 14.827289
|
hep-th/0112146
|
Dima
|
Dmitry Malyshev
|
Hopf algebra of ribbon graphs and renormalization
|
34 pages, 9 figures, Latex; improved style
|
JHEP 0205 (2002) 013
|
10.1088/1126-6708/2002/05/013
| null |
hep-th
| null |
Connes and Kreimer have discovered a Hopf algebra structure behind
renormalization of Feynman integrals. We generalize the Hopf algebra to the
case of ribbon graphs, i.e. to the case of theories with matrix fields. The
Hopf algebra is naturally defined in terms of surfaces corresponding to ribbon
graphs. As an example, we discuss renormalization of $\Phi^4$ theory and the
1/N expansion.
|
[
{
"created": "Mon, 17 Dec 2001 17:55:15 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Dec 2001 16:07:51 GMT",
"version": "v2"
},
{
"created": "Wed, 24 Apr 2002 18:23:45 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Malyshev",
"Dmitry",
""
]
] |
Connes and Kreimer have discovered a Hopf algebra structure behind renormalization of Feynman integrals. We generalize the Hopf algebra to the case of ribbon graphs, i.e. to the case of theories with matrix fields. The Hopf algebra is naturally defined in terms of surfaces corresponding to ribbon graphs. As an example, we discuss renormalization of $\Phi^4$ theory and the 1/N expansion.
| 6.206322
| 5.754027
| 6.774651
| 5.566039
| 5.629759
| 6.178421
| 5.967041
| 6.118267
| 5.76865
| 7.549205
| 5.726851
| 5.659208
| 6.270704
| 5.801431
| 5.863352
| 5.694132
| 5.863696
| 5.443062
| 5.700775
| 6.343959
| 5.40988
|
1404.4746
|
Orlando Panella
|
Orlando Panella and Pinaki Roy
|
Pseudo Hermitian interactions in the Dirac Equation
|
8 pages, NO figures
|
Symmetry 2014, 6(1), 103-110
|
10.3390/sym6010103
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider $(2+1)$ dimensional massless Dirac equation in the presence of
complex vector potentials. It is shown that such vector potentials (leading to
complex magnetic fields) can produce bound states and the Dirac Hamiltonians
are $\eta$-pseudo Hermitian. Some examples have been explicitly worked out.
|
[
{
"created": "Fri, 18 Apr 2014 11:01:53 GMT",
"version": "v1"
}
] |
2014-04-21
|
[
[
"Panella",
"Orlando",
""
],
[
"Roy",
"Pinaki",
""
]
] |
We consider $(2+1)$ dimensional massless Dirac equation in the presence of complex vector potentials. It is shown that such vector potentials (leading to complex magnetic fields) can produce bound states and the Dirac Hamiltonians are $\eta$-pseudo Hermitian. Some examples have been explicitly worked out.
| 9.756718
| 8.068655
| 10.234371
| 8.808932
| 9.248846
| 7.986776
| 7.550476
| 8.346354
| 8.750389
| 9.852359
| 8.168812
| 8.112182
| 9.629656
| 8.723128
| 8.281413
| 8.227737
| 8.766877
| 8.187803
| 8.456133
| 9.646112
| 8.120018
|
1608.06641
|
Yuri Chervonyi
|
Yuri Chervonyi and Oleg Lunin
|
Generalized $\lambda$-deformations of AdS_p x S^p
|
36 pages, V2: references added, appendix extended
| null |
10.1016/j.nuclphysb.2016.10.014
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study analytical properties of the generalized $\lambda$-deformation,
which modifies string theories while preserving integrability, and construct
the explicit backgrounds corresponding to AdS_p x S^p, including the
Ramond-Ramond fluxes. For an arbitrary coset, we find the general form of the
R-matrix underlying the deformation, and prove that the dilaton is not modified
by the deformation, while the frames are multiplied by a constant matrix. Our
explicit solutions describe families of integrable string theories depending on
several continuous parameters.
|
[
{
"created": "Tue, 23 Aug 2016 20:02:49 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Oct 2016 21:54:09 GMT",
"version": "v2"
}
] |
2016-12-21
|
[
[
"Chervonyi",
"Yuri",
""
],
[
"Lunin",
"Oleg",
""
]
] |
We study analytical properties of the generalized $\lambda$-deformation, which modifies string theories while preserving integrability, and construct the explicit backgrounds corresponding to AdS_p x S^p, including the Ramond-Ramond fluxes. For an arbitrary coset, we find the general form of the R-matrix underlying the deformation, and prove that the dilaton is not modified by the deformation, while the frames are multiplied by a constant matrix. Our explicit solutions describe families of integrable string theories depending on several continuous parameters.
| 12.699327
| 11.064714
| 15.078706
| 11.569421
| 11.880319
| 12.382454
| 11.5171
| 11.437749
| 11.176722
| 15.224629
| 10.791988
| 11.452506
| 12.725028
| 11.360348
| 11.554806
| 11.513086
| 11.701254
| 11.623709
| 11.329642
| 13.169892
| 11.141102
|
hep-th/0612034
|
Jonas Persson
|
Jonas Persson
|
T-duality and Generalized Complex Geometry
|
18 pages; added references; published version
|
JHEP 0703:025,2007
|
10.1088/1126-6708/2007/03/025
|
UUITP-19/06
|
hep-th
| null |
We find the explicit T-duality transformation in the phase space formulation
of the N=(1,1) sigma model. We also show that the T-duality transformation is a
symplectomorphism and it is an element of O(d,d). Further, we find the explicit
T-duality transformation of a generalized complex structure in this model. We
also show that the extended supersymmetry of the sigma model is preserved under
the T-duality.
|
[
{
"created": "Tue, 5 Dec 2006 10:20:31 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Dec 2006 13:55:59 GMT",
"version": "v2"
},
{
"created": "Mon, 26 Mar 2007 09:50:36 GMT",
"version": "v3"
}
] |
2010-10-27
|
[
[
"Persson",
"Jonas",
""
]
] |
We find the explicit T-duality transformation in the phase space formulation of the N=(1,1) sigma model. We also show that the T-duality transformation is a symplectomorphism and it is an element of O(d,d). Further, we find the explicit T-duality transformation of a generalized complex structure in this model. We also show that the extended supersymmetry of the sigma model is preserved under the T-duality.
| 6.321669
| 5.981423
| 6.3815
| 5.458784
| 6.287148
| 5.950556
| 5.442875
| 5.68883
| 5.515647
| 6.639454
| 5.693559
| 5.807487
| 6.319297
| 6.007128
| 5.786208
| 6.043611
| 5.864567
| 5.920135
| 5.958937
| 6.204941
| 5.801367
|
hep-th/0201262
|
Young S. Kim
|
Y. S. Kim
|
Internal Space-time Symmetries of Massless Particles and Neutrino
Polarization as a Consequence of Gauge Invariance
|
Latex 9 pages, 2 epsfigs, based on one of the lectures delivered at
the Advanced Study Institute on Symmetries and Spin (Prague, Czech Republic,
July 2001)
| null | null | null |
hep-th gr-qc hep-ph math-ph math.MP nucl-th quant-ph
| null |
There are gauge-transformation operators applicable to massless spin-1/2
particles within the little-group framework of internal space-time symmetries
of massive and massless particles. It is shown that two of the $SL(2,c)$
spinors are invariant under gauge transformations while the remaining two are
not. The Dirac equation contains only the gauge-invariant spinors leading to
polarized neutrinos. It is shown that the gauge-dependent $SL(2,c)$ spinor is
the origin of the gauge dependence of electromagnetic four-potentials. It is
noted also that, for spin-1/2 particles, the symmetry group for massless
particles is an infinite-momentum/zero-mass limit of the symmetry group for
massive particles.
|
[
{
"created": "Thu, 31 Jan 2002 05:07:03 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Kim",
"Y. S.",
""
]
] |
There are gauge-transformation operators applicable to massless spin-1/2 particles within the little-group framework of internal space-time symmetries of massive and massless particles. It is shown that two of the $SL(2,c)$ spinors are invariant under gauge transformations while the remaining two are not. The Dirac equation contains only the gauge-invariant spinors leading to polarized neutrinos. It is shown that the gauge-dependent $SL(2,c)$ spinor is the origin of the gauge dependence of electromagnetic four-potentials. It is noted also that, for spin-1/2 particles, the symmetry group for massless particles is an infinite-momentum/zero-mass limit of the symmetry group for massive particles.
| 9.01414
| 7.63552
| 7.982688
| 8.120437
| 7.472719
| 7.806073
| 7.721746
| 7.973243
| 7.820445
| 8.647626
| 8.107509
| 8.598467
| 8.272377
| 8.449168
| 8.228192
| 8.415029
| 8.479989
| 8.432898
| 8.232953
| 8.756245
| 8.496382
|
1607.00037
|
Jonathan Brown
|
Jon Brown, William Cottrell, Gary Shiu, Pablo Soler
|
Tunneling in Axion Monodromy
| null | null |
10.1007/JHEP10(2016)025
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Coleman formula for vacuum decay and bubble nucleation has been used to
estimate the tunneling rate in models of axion monodromy in recent literature.
However, several of Coleman's original assumptions do not hold for such models.
Here we derive a new estimate with this in mind using a similar Euclidean
procedure. We find that there are significant regions of parameter space for
which the tunneling rate in axion monodromy is not well approximated by the
Coleman formula. However, there is also a regime relevant to large field
inflation in which both estimates parametrically agree. We also briefly comment
on the applications of our results to the relaxion scenario.
|
[
{
"created": "Thu, 30 Jun 2016 20:45:44 GMT",
"version": "v1"
}
] |
2016-11-03
|
[
[
"Brown",
"Jon",
""
],
[
"Cottrell",
"William",
""
],
[
"Shiu",
"Gary",
""
],
[
"Soler",
"Pablo",
""
]
] |
The Coleman formula for vacuum decay and bubble nucleation has been used to estimate the tunneling rate in models of axion monodromy in recent literature. However, several of Coleman's original assumptions do not hold for such models. Here we derive a new estimate with this in mind using a similar Euclidean procedure. We find that there are significant regions of parameter space for which the tunneling rate in axion monodromy is not well approximated by the Coleman formula. However, there is also a regime relevant to large field inflation in which both estimates parametrically agree. We also briefly comment on the applications of our results to the relaxion scenario.
| 8.699819
| 8.885402
| 7.839638
| 8.207837
| 8.450597
| 8.175604
| 8.543983
| 8.534934
| 8.476401
| 8.948429
| 8.645255
| 8.535856
| 8.331711
| 8.38367
| 8.128702
| 8.215116
| 8.310724
| 8.305845
| 8.361283
| 8.543683
| 8.353893
|
1901.07045
|
Lasma Alberte
|
Lasma Alberte
|
Equivalence Principle on Cosmological Backgrounds in Scalar-Tensor
Theories
|
22 pages
| null |
10.1088/1361-6382/ab41e5
|
Imperial/TP/2019/LA/01
|
hep-th astro-ph.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the extent up to which the equivalence principle is obeyed in models
of modified gravity and dark energy involving a single scalar degree of
freedom. We focus on the effective field theories of dark energy describing the
late time acceleration in the presence of ordinary matter species. In their
covariant form these coincide with the Horndeski theories on a cosmological
background with a slowly varying Hubble rate and a time-dependent scalar field.
We show that in the case of an exactly de Sitter universe both the weak and
strong equivalence principles hold. This occurs due to the combination of the
shift symmetry of the scalar and the time translational invariance of de Sitter
space. When generalized to Friedmann--Robertson--Walker cosmologies (FRW) we
show that the weak equivalence principle is obeyed for test particles and
extended objects in the quasi-static subhorizon limit. We do this by studying
the field created by an extended object moving in an FRW background as well as
its equation of motion in an external gravitational field. We also estimate the
corrections to the geodesic equation of the extended object due to the
approximations made.
|
[
{
"created": "Mon, 21 Jan 2019 19:04:38 GMT",
"version": "v1"
}
] |
2020-01-08
|
[
[
"Alberte",
"Lasma",
""
]
] |
We study the extent up to which the equivalence principle is obeyed in models of modified gravity and dark energy involving a single scalar degree of freedom. We focus on the effective field theories of dark energy describing the late time acceleration in the presence of ordinary matter species. In their covariant form these coincide with the Horndeski theories on a cosmological background with a slowly varying Hubble rate and a time-dependent scalar field. We show that in the case of an exactly de Sitter universe both the weak and strong equivalence principles hold. This occurs due to the combination of the shift symmetry of the scalar and the time translational invariance of de Sitter space. When generalized to Friedmann--Robertson--Walker cosmologies (FRW) we show that the weak equivalence principle is obeyed for test particles and extended objects in the quasi-static subhorizon limit. We do this by studying the field created by an extended object moving in an FRW background as well as its equation of motion in an external gravitational field. We also estimate the corrections to the geodesic equation of the extended object due to the approximations made.
| 8.013885
| 7.929585
| 8.219386
| 7.599649
| 8.065572
| 7.531895
| 8.272613
| 7.65066
| 7.609275
| 8.202072
| 7.493083
| 7.364226
| 7.479745
| 7.223184
| 7.309908
| 7.619829
| 7.476122
| 7.261619
| 7.477646
| 7.494968
| 7.444341
|
1711.03737
|
Garrett Goon
|
Bernardo Finelli, Garrett Goon, Enrico Pajer and Luca Santoni
|
Soft Theorems For Shift-Symmetric Cosmologies
|
4 pages, v2: citation added, v3: citations added and edited in
accordance with published version
|
Phys. Rev. D 97, 063531 (2018)
|
10.1103/PhysRevD.97.063531
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive soft theorems for single-clock cosmologies that enjoy a shift
symmetry. These so-called consistency conditions arise from a combination of a
large diffeomorphism and the internal shift-symmetry and fix the squeezed limit
of all correlators with a soft scalar mode. As an application, we show that our
results reproduce the squeezed bispectrum for Ultra-slow-roll inflation, a
particular shift-symmetric, non-attractor model which is known to violate
Maldacena's consistency relation. Similar results have been previously obtained
by Mooij and Palma using background-wave methods. Our results shed new light on
the infrared structure of single-clock cosmological spacetimes.
|
[
{
"created": "Fri, 10 Nov 2017 09:18:26 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Nov 2017 11:00:46 GMT",
"version": "v2"
},
{
"created": "Thu, 19 Apr 2018 15:07:54 GMT",
"version": "v3"
}
] |
2018-04-20
|
[
[
"Finelli",
"Bernardo",
""
],
[
"Goon",
"Garrett",
""
],
[
"Pajer",
"Enrico",
""
],
[
"Santoni",
"Luca",
""
]
] |
We derive soft theorems for single-clock cosmologies that enjoy a shift symmetry. These so-called consistency conditions arise from a combination of a large diffeomorphism and the internal shift-symmetry and fix the squeezed limit of all correlators with a soft scalar mode. As an application, we show that our results reproduce the squeezed bispectrum for Ultra-slow-roll inflation, a particular shift-symmetric, non-attractor model which is known to violate Maldacena's consistency relation. Similar results have been previously obtained by Mooij and Palma using background-wave methods. Our results shed new light on the infrared structure of single-clock cosmological spacetimes.
| 6.291511
| 9.118673
| 11.332776
| 8.787425
| 8.535706
| 9.564812
| 9.806284
| 9.590289
| 9.766974
| 9.887612
| 8.709271
| 8.382101
| 8.539253
| 8.537464
| 8.027183
| 7.933122
| 8.114862
| 7.976553
| 7.945804
| 8.125255
| 8.504677
|
hep-th/0103115
|
Jaume Gomis
|
Jaume Gomis
|
D-Branes, Holonomy and M-Theory
|
20 pages, harvmac, typos corrected
|
Nucl.Phys. B606 (2001) 3-17
|
10.1016/S0550-3213(01)00247-4
| null |
hep-th
| null |
We show that M-theory on spaces with irreducible holonomy represent Type IIA
backgrounds in which a collection of D6-branes wrap a supersymmetric cycle in a
manifold with a holonomy group different from the one appearing in the M-theory
description. For example, we show that D6-branes wrapping a supersymmetric
four-cycle on a manifold with G_2 holonomy is described in eleven dimensions by
M-theory on a space with Spin(7) holonomy. Examples of such Type IIA
backgrounds which lift to M-theory on spaces with SU(3), G_2, SU(4) and Spin(7)
holonomy are considered. The M-theory geometry can then be used to compute
exact quantities of the gauge theory on the corresponding D-brane
configuration.
|
[
{
"created": "Wed, 14 Mar 2001 23:39:44 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Apr 2001 01:07:42 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Gomis",
"Jaume",
""
]
] |
We show that M-theory on spaces with irreducible holonomy represent Type IIA backgrounds in which a collection of D6-branes wrap a supersymmetric cycle in a manifold with a holonomy group different from the one appearing in the M-theory description. For example, we show that D6-branes wrapping a supersymmetric four-cycle on a manifold with G_2 holonomy is described in eleven dimensions by M-theory on a space with Spin(7) holonomy. Examples of such Type IIA backgrounds which lift to M-theory on spaces with SU(3), G_2, SU(4) and Spin(7) holonomy are considered. The M-theory geometry can then be used to compute exact quantities of the gauge theory on the corresponding D-brane configuration.
| 5.578404
| 5.181277
| 6.43117
| 5.127949
| 5.448447
| 5.480857
| 5.082114
| 5.558842
| 4.898074
| 6.319534
| 5.035659
| 5.334726
| 5.777214
| 5.305777
| 5.427441
| 5.210971
| 5.135863
| 5.273551
| 5.295638
| 5.610237
| 5.318323
|
hep-th/9207040
|
Francesco Ravanini
|
F.Ravanini, R.Tateo and A.Valleriani
|
Dynkin TBA's
|
29 pages, Latex (no macros) DFUB-92-11, DFTT-31/92
|
Int.J.Mod.Phys. A8 (1993) 1707-1728
|
10.1142/S0217751X93000709
| null |
hep-th
| null |
We prove a useful identity valid for all $ADE$ minimal S-matrices, that
clarifies the transformation of the relative thermodynamic Bethe Ansatz (TBA)
from its standard form into the universal one proposed by Al.B.Zamolodchikov.
By considering the graph encoding of the system of functional equations for the
exponentials of the pseudoenergies, we show that any such system having the
same form as those for the $ADE$ TBA's, can be encoded on $A,D,E,A/Z_2$ only.
This includes, besides the known $ADE$ diagonal scattering, the set of all
$SU(2)$ related {\em magnonic} TBA's. We explore this class sistematically and
find some interesting new massive and massless RG flows. The generalization to
classes related to higher rank algebras is briefly presented and an intriguing
relation with level-rank duality is signalled.
|
[
{
"created": "Mon, 13 Jul 1992 18:33:00 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Ravanini",
"F.",
""
],
[
"Tateo",
"R.",
""
],
[
"Valleriani",
"A.",
""
]
] |
We prove a useful identity valid for all $ADE$ minimal S-matrices, that clarifies the transformation of the relative thermodynamic Bethe Ansatz (TBA) from its standard form into the universal one proposed by Al.B.Zamolodchikov. By considering the graph encoding of the system of functional equations for the exponentials of the pseudoenergies, we show that any such system having the same form as those for the $ADE$ TBA's, can be encoded on $A,D,E,A/Z_2$ only. This includes, besides the known $ADE$ diagonal scattering, the set of all $SU(2)$ related {\em magnonic} TBA's. We explore this class sistematically and find some interesting new massive and massless RG flows. The generalization to classes related to higher rank algebras is briefly presented and an intriguing relation with level-rank duality is signalled.
| 16.242212
| 15.028814
| 18.489807
| 14.727409
| 16.336843
| 15.6591
| 16.729176
| 16.042461
| 15.783785
| 21.906662
| 16.161293
| 15.415922
| 17.18799
| 15.093735
| 15.60514
| 15.262098
| 14.919228
| 15.78783
| 15.086542
| 16.696655
| 15.059852
|
hep-th/0403249
|
Dongsu Bak
|
Dongsu Bak, Michael Gutperle, Shinji Hirano and Nobuyoshi Ohta
|
Dilatonic Repulsons and Confinement via the AdS/CFT Correspondence
|
26 pages, 9 figures, Discussion of mass gap added, Refs added,
version for the publication
|
Phys.Rev. D70 (2004) 086004
|
10.1103/PhysRevD.70.086004
|
UCLA/04/TEP/06, UOSTP-04101, OU-HET 470
|
hep-th
| null |
We study a class of dilatonic deformations of asymptotically AdS_5 X S^5
geometry analytically and numerically. The spacetime is non-supersymmetric and
suffers from a naked singularity. We propose that the causality bound may serve
as a criterion for such a geometry with a naked singularity to still make sense
in the AdS/CFT correspondence. We show that the static string, the one
corresponding to a large Wilson loop in the dual gauge theory, reveals
confinement in a certain range of parameters of our solutions, where the
singularity exhibits the repulsion that can well cloak the singularity from the
static string probe. In particular, we find the exact expression for the
tension of the QCD strings. We also discuss a possible interpretation of our
solution in terms of unstable branes and their tachyon matter.
|
[
{
"created": "Thu, 25 Mar 2004 06:41:11 GMT",
"version": "v1"
},
{
"created": "Thu, 6 May 2004 11:08:41 GMT",
"version": "v2"
},
{
"created": "Tue, 14 Sep 2004 09:30:42 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Bak",
"Dongsu",
""
],
[
"Gutperle",
"Michael",
""
],
[
"Hirano",
"Shinji",
""
],
[
"Ohta",
"Nobuyoshi",
""
]
] |
We study a class of dilatonic deformations of asymptotically AdS_5 X S^5 geometry analytically and numerically. The spacetime is non-supersymmetric and suffers from a naked singularity. We propose that the causality bound may serve as a criterion for such a geometry with a naked singularity to still make sense in the AdS/CFT correspondence. We show that the static string, the one corresponding to a large Wilson loop in the dual gauge theory, reveals confinement in a certain range of parameters of our solutions, where the singularity exhibits the repulsion that can well cloak the singularity from the static string probe. In particular, we find the exact expression for the tension of the QCD strings. We also discuss a possible interpretation of our solution in terms of unstable branes and their tachyon matter.
| 11.22198
| 8.995779
| 11.16692
| 8.886532
| 9.169852
| 9.02074
| 9.158713
| 8.755752
| 8.978432
| 10.603464
| 9.010487
| 9.208866
| 9.836425
| 9.319395
| 8.930928
| 9.374368
| 9.450064
| 9.078844
| 9.494072
| 9.839849
| 8.981761
|
0805.4145
|
Felipe J. Llanes-Estrada
|
Mercedes Gimeno-Segovia and Felipe J. Llanes-Estrada
|
From Euclidean to Minkowski space with the Cauchy-Riemann equations
|
12 pages in EPJ double-column format, 16 figures. This version: added
paragraph, two references
|
Eur.Phys.J.C56:557-569,2008
|
10.1140/epjc/s10052-008-0676-5
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present an elementary method to obtain Green's functions in
non-perturbative quantum field theory in Minkowski space from calculated
Green's functions in Euclidean space. Since in non-perturbative field theory
the analytical structure of amplitudes is many times unknown, especially in the
presence of confined fields, dispersive representations suffer from systematic
uncertainties. Therefore we suggest to use the Cauchy-Riemann equations, that
perform the analytical continuation without assuming global information on the
function in the entire complex plane, only in the region through which the
equations are solved. We use as example the quark propagator in Landau gauge
Quantum Chromodynamics, that is known from lattice and Dyson-Schwinger studies
in Euclidean space. The drawback of the method is the instability of the
Cauchy-Riemann equations to high-frequency noise, that makes difficult to
achieve good accuracy. We also point out a few curiosities related to the Wick
rotation.
|
[
{
"created": "Tue, 27 May 2008 15:07:26 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Jun 2008 08:22:21 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Gimeno-Segovia",
"Mercedes",
""
],
[
"Llanes-Estrada",
"Felipe J.",
""
]
] |
We present an elementary method to obtain Green's functions in non-perturbative quantum field theory in Minkowski space from calculated Green's functions in Euclidean space. Since in non-perturbative field theory the analytical structure of amplitudes is many times unknown, especially in the presence of confined fields, dispersive representations suffer from systematic uncertainties. Therefore we suggest to use the Cauchy-Riemann equations, that perform the analytical continuation without assuming global information on the function in the entire complex plane, only in the region through which the equations are solved. We use as example the quark propagator in Landau gauge Quantum Chromodynamics, that is known from lattice and Dyson-Schwinger studies in Euclidean space. The drawback of the method is the instability of the Cauchy-Riemann equations to high-frequency noise, that makes difficult to achieve good accuracy. We also point out a few curiosities related to the Wick rotation.
| 8.00616
| 9.479483
| 8.509478
| 7.618217
| 8.730604
| 9.091715
| 8.529108
| 8.30248
| 8.311481
| 8.246587
| 8.297312
| 8.195154
| 8.210812
| 8.114503
| 8.117018
| 8.172903
| 8.149937
| 8.045298
| 8.110731
| 8.140558
| 8.09566
|
hep-th/9505080
|
Gerald B. Cleaver
|
Gerald B. Cleaver
|
Supersymmetries in Free Fermionic Strings
|
changes to match journal version; tex, 53 pages
|
Nucl.Phys.B456:219-256,1995
|
10.1016/0550-3213(95)00481-0
|
OHSTPY-HEP-T-95-004
|
hep-th
| null |
Consistent heterotic free fermionic string models are classified in terms of
their number of spacetime supersymmetries, N. For each of the six distinct
choices of gravitino sector, we determine what number of supersymmetries can
survive additional GSO projections. We prove by exhaustive search that only
three of the six can yield N = 1, in addition to the N = 4, 2, or 0 that five
of the six can yield. One choice of gravitino sector can only produce N = 4 or
0. Relatedly, we find that only Z_2, Z_4, and Z_8 twists of the internal
fermions with worldsheet supersymmetry are consistent with N=1 in free
fermionic models. Any other twists obviate N=1.
|
[
{
"created": "Sat, 13 May 1995 01:28:29 GMT",
"version": "v1"
},
{
"created": "Sat, 13 May 1995 23:24:13 GMT",
"version": "v2"
},
{
"created": "Mon, 15 May 1995 04:47:18 GMT",
"version": "v3"
},
{
"created": "Fri, 19 May 1995 00:38:43 GMT",
"version": "v4"
},
{
"created": "Sat, 3 Jun 1995 23:41:43 GMT",
"version": "v5"
},
{
"created": "Wed, 9 Aug 1995 22:32:09 GMT",
"version": "v6"
},
{
"created": "Mon, 20 Nov 1995 16:00:47 GMT",
"version": "v7"
}
] |
2014-11-18
|
[
[
"Cleaver",
"Gerald B.",
""
]
] |
Consistent heterotic free fermionic string models are classified in terms of their number of spacetime supersymmetries, N. For each of the six distinct choices of gravitino sector, we determine what number of supersymmetries can survive additional GSO projections. We prove by exhaustive search that only three of the six can yield N = 1, in addition to the N = 4, 2, or 0 that five of the six can yield. One choice of gravitino sector can only produce N = 4 or 0. Relatedly, we find that only Z_2, Z_4, and Z_8 twists of the internal fermions with worldsheet supersymmetry are consistent with N=1 in free fermionic models. Any other twists obviate N=1.
| 9.327757
| 9.441549
| 9.468767
| 8.18255
| 8.362779
| 8.8921
| 9.015361
| 8.461823
| 8.450999
| 9.130168
| 8.251838
| 8.659585
| 8.240737
| 7.909682
| 8.111669
| 8.213206
| 8.14335
| 7.930183
| 8.174286
| 8.606294
| 8.187264
|
hep-th/0109052
|
W. Machin
|
W. Machin
|
Dynamics of the spinning particle in one dimension
|
14 pages, ams-latex, references added
| null | null | null |
hep-th
| null |
The most general N=1 Lagrangian for the spinning particle with local
supersymmetry is found and the constraints of the system are analysed. The
Dirac quantisation of the model is also investigated.
|
[
{
"created": "Thu, 6 Sep 2001 22:37:26 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Sep 2001 17:22:45 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Machin",
"W.",
""
]
] |
The most general N=1 Lagrangian for the spinning particle with local supersymmetry is found and the constraints of the system are analysed. The Dirac quantisation of the model is also investigated.
| 11.733507
| 7.701652
| 10.158617
| 7.859834
| 8.48039
| 7.620008
| 7.40478
| 8.03262
| 7.782198
| 11.329259
| 7.772954
| 8.444943
| 10.037637
| 9.09963
| 8.986809
| 8.994035
| 8.181682
| 8.761161
| 8.635597
| 9.458593
| 8.957157
|
hep-th/0602107
|
Jeremy Michelson
|
Sumit R. Das, Jeremy Michelson, K. Narayan and Sandip P. Trivedi
|
Time Dependent Cosmologies and Their Duals
|
13 pages REVTeX and AMSLaTeX. v2: corrected typos and made some
clarifications; reference added; v3: more clarifications, references added
|
Phys.Rev.D74:026002,2006
|
10.1103/PhysRevD.74.026002
|
TIFR-TH-06-05, UK-06-03
|
hep-th
| null |
We construct a family of solutions in IIB supergravity theory. These are time
dependent or depend on a light-like coordinate and can be thought of as
deformations of AdS_5 x S^5. Several of the solutions have singularities. The
light-like solutions preserve 8 supersymmetries. We argue that these solutions
are dual to the N=4 gauge theory in a 3+1 dimensional spacetime with a metric
and a gauge coupling that is varying with time or the light-like direction
respectively. This identification allows us to map the question of singularity
resolution to the dual gauge theory.
|
[
{
"created": "Fri, 10 Feb 2006 20:08:23 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Feb 2006 20:08:30 GMT",
"version": "v2"
},
{
"created": "Sat, 6 May 2006 07:51:21 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Das",
"Sumit R.",
""
],
[
"Michelson",
"Jeremy",
""
],
[
"Narayan",
"K.",
""
],
[
"Trivedi",
"Sandip P.",
""
]
] |
We construct a family of solutions in IIB supergravity theory. These are time dependent or depend on a light-like coordinate and can be thought of as deformations of AdS_5 x S^5. Several of the solutions have singularities. The light-like solutions preserve 8 supersymmetries. We argue that these solutions are dual to the N=4 gauge theory in a 3+1 dimensional spacetime with a metric and a gauge coupling that is varying with time or the light-like direction respectively. This identification allows us to map the question of singularity resolution to the dual gauge theory.
| 8.115443
| 7.068651
| 8.389397
| 7.219075
| 7.255204
| 6.768266
| 6.814108
| 6.680001
| 6.634243
| 8.486305
| 6.930578
| 6.912407
| 7.554203
| 6.929539
| 6.787552
| 7.030164
| 7.027824
| 7.090503
| 6.77474
| 7.705163
| 6.754403
|
2401.01162
|
Song Li
|
Song Li, Wei Shen, Jin Min Yang
|
Can Bell inequalities be tested via scattering cross-section at
colliders ?
|
14 pages, 2 figures
| null | null | null |
hep-th hep-ph quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In current studies for testing Bell inequalities at colliders, the
reconstruction of spin correlations from scattering cross-sections relies on
the bilinear form of the spin correlations, but not all local hidden variable
models (LHVMs) have such a property. To demonstrate that a general LHVM cannot
be rule out via scattering cross-section data, we propose a specific LHVM,
which can exactly duplicate the same scattering cross-section for particle
production and decay as the standard quantum theory, making it
indistinguishable at colliders in principle. Despite of this, we find that
reconstructing spin correlations through scattering cross-sections can still
exclude a broad class of LHVMs, e.g., those models employing classical spin
correlations as a surrogate for quantum spin correlations.
|
[
{
"created": "Tue, 2 Jan 2024 11:45:51 GMT",
"version": "v1"
},
{
"created": "Sat, 20 Apr 2024 09:36:17 GMT",
"version": "v2"
},
{
"created": "Thu, 4 Jul 2024 15:06:55 GMT",
"version": "v3"
}
] |
2024-07-08
|
[
[
"Li",
"Song",
""
],
[
"Shen",
"Wei",
""
],
[
"Yang",
"Jin Min",
""
]
] |
In current studies for testing Bell inequalities at colliders, the reconstruction of spin correlations from scattering cross-sections relies on the bilinear form of the spin correlations, but not all local hidden variable models (LHVMs) have such a property. To demonstrate that a general LHVM cannot be rule out via scattering cross-section data, we propose a specific LHVM, which can exactly duplicate the same scattering cross-section for particle production and decay as the standard quantum theory, making it indistinguishable at colliders in principle. Despite of this, we find that reconstructing spin correlations through scattering cross-sections can still exclude a broad class of LHVMs, e.g., those models employing classical spin correlations as a surrogate for quantum spin correlations.
| 11.84395
| 11.769171
| 10.457345
| 9.956502
| 11.547796
| 11.580573
| 12.479412
| 10.656479
| 10.845577
| 12.321247
| 11.275274
| 10.83177
| 10.102207
| 10.114033
| 10.210417
| 10.562199
| 10.352722
| 10.706511
| 10.301802
| 10.50251
| 10.503852
|
hep-th/0501211
|
Mikhail Shifman
|
M. Shifman, A. Yung
|
Non-Abelian Flux Tubes in SQCD: Supersizing World-Sheet Supersymmetry
|
41 pages, 3 figures; v2: minor corrections in Eqs. (4.9), (4.10),
(5.1). Final version to appear in PRD
|
Phys.Rev.D72:085017,2005
|
10.1103/PhysRevD.72.085017
|
FTPI-MINN-04/59, UMN-TH-2336/04, ITEP-TH-01/05
|
hep-th
| null |
We consider non-Abelian 1/2 BPS flux tubes (strings) in a deformed N=2
supersymmetric gauge theory, with mass terms mu_{1,2} of the adjoint fields
breaking N=2 down to N=1. The main feature of the non-Abelian strings is the
occurrence of orientational moduli associated with the possibility of rotations
of their color fluxes inside a global SU(N) group. The bulk four-dimensional
theory has four supercharges; half-criticality of the non-Abelian strings would
imply then N=1 supersymmetry on the world sheet, i.e. two supercharges. In
fact, superalgebra of the reduced moduli space has four supercharges. Internal
dynamics of the orientational moduli are described by two-dimensional CP(N-1)
model on the string world sheet. We focus mainly on the SU(2) case, i.e. CP(1)
world-sheet theory. We show that non-Abelian BPS strings exist for all values
of mu_{1,2}. The low-energy theory of moduli is indeed CP(1), with four
supercharges, in a wide region of breaking parameters mu_{1,2}. Only in the
limit of very large mu_{1,2}, above some critical value, the N=2 world-sheet
supersymmetry breaks down to N=1. We observe "supersymmetry emergence" for the
flux-tube junction (confined monopole): the "kink-monopole" is half-critical
considered from the standpoint of the world-sheet CP(1) model (i.e. two
supercharges conserved), while in the bulk N=1 theory there is no monopole
central charge at all.
|
[
{
"created": "Wed, 26 Jan 2005 19:28:52 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Oct 2005 22:02:09 GMT",
"version": "v2"
}
] |
2010-05-27
|
[
[
"Shifman",
"M.",
""
],
[
"Yung",
"A.",
""
]
] |
We consider non-Abelian 1/2 BPS flux tubes (strings) in a deformed N=2 supersymmetric gauge theory, with mass terms mu_{1,2} of the adjoint fields breaking N=2 down to N=1. The main feature of the non-Abelian strings is the occurrence of orientational moduli associated with the possibility of rotations of their color fluxes inside a global SU(N) group. The bulk four-dimensional theory has four supercharges; half-criticality of the non-Abelian strings would imply then N=1 supersymmetry on the world sheet, i.e. two supercharges. In fact, superalgebra of the reduced moduli space has four supercharges. Internal dynamics of the orientational moduli are described by two-dimensional CP(N-1) model on the string world sheet. We focus mainly on the SU(2) case, i.e. CP(1) world-sheet theory. We show that non-Abelian BPS strings exist for all values of mu_{1,2}. The low-energy theory of moduli is indeed CP(1), with four supercharges, in a wide region of breaking parameters mu_{1,2}. Only in the limit of very large mu_{1,2}, above some critical value, the N=2 world-sheet supersymmetry breaks down to N=1. We observe "supersymmetry emergence" for the flux-tube junction (confined monopole): the "kink-monopole" is half-critical considered from the standpoint of the world-sheet CP(1) model (i.e. two supercharges conserved), while in the bulk N=1 theory there is no monopole central charge at all.
| 6.125982
| 6.341663
| 7.453253
| 6.169168
| 6.397334
| 6.208255
| 6.13993
| 6.032718
| 5.812635
| 7.06324
| 6.001331
| 6.231397
| 6.490938
| 6.175916
| 6.253791
| 6.183479
| 6.370318
| 6.142264
| 6.22645
| 6.340968
| 6.231076
|
1403.1899
|
J. Luis Miramontes
|
Timothy J. Hollowood and J. Luis Miramontes
|
Symplectic Deformations of Integrable Field Theories and AdS/CFT
|
4 pages
| null |
10.1016/j.physletb.2014.10.060
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Relativistic integrable field theories like the sine-Gordon equation have an
infinite set of conserved charges. In a light-front formalism these conserved
charges are closely related to the integrable modified KdV hierarchy at the
classical level. The latter hierarchy admits a family of symplectic structures
which we argue can be viewed as deformations of the relativistic sine-Gordon
symplectic structure. These deformed theories are integrable but no longer
relativistic and the basic excitations of the theory, the solitons, have an
interesting non-relativistic dispersion relation that in a certain limit
becomes the dispersion relation of dyonic giant magnons of string theory in the
AdS/CFT correspondence. We argue that the deformed classical theories can be
lifted to quantum theories when the sine-Gordon theory is embedded in a larger
theory that describes the string world-sheet sigma model in AdS(5)xS(5).
|
[
{
"created": "Fri, 7 Mar 2014 23:39:52 GMT",
"version": "v1"
}
] |
2015-06-19
|
[
[
"Hollowood",
"Timothy J.",
""
],
[
"Miramontes",
"J. Luis",
""
]
] |
Relativistic integrable field theories like the sine-Gordon equation have an infinite set of conserved charges. In a light-front formalism these conserved charges are closely related to the integrable modified KdV hierarchy at the classical level. The latter hierarchy admits a family of symplectic structures which we argue can be viewed as deformations of the relativistic sine-Gordon symplectic structure. These deformed theories are integrable but no longer relativistic and the basic excitations of the theory, the solitons, have an interesting non-relativistic dispersion relation that in a certain limit becomes the dispersion relation of dyonic giant magnons of string theory in the AdS/CFT correspondence. We argue that the deformed classical theories can be lifted to quantum theories when the sine-Gordon theory is embedded in a larger theory that describes the string world-sheet sigma model in AdS(5)xS(5).
| 7.418356
| 6.912807
| 8.152007
| 6.671048
| 7.065401
| 7.097568
| 7.021786
| 6.8746
| 6.909649
| 8.867826
| 7.09059
| 6.806044
| 7.484858
| 6.736574
| 6.911045
| 6.705648
| 6.683148
| 6.62352
| 6.610178
| 7.384048
| 6.898219
|
1901.09637
|
Timofey Snegirev
|
I. L. Buchbinder, M.V. Khabarov, T. V. Snegirev, Yu. M. Zinoviev
|
Lagrangian formulation of the massive higher spin N=1 supermultiplets in
$AdS_4$ space
|
1+32 pages, no figures; typos are corrected
| null |
10.1016/j.nuclphysb.2019.03.011
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We give an explicit component Lagrangian construction of massive higher spin
on-shell $N=1$ supermultiplets in four-dimensional Anti-de Sitter space
$AdS_4$. We use a frame-like gauge invariant description of massive higher spin
bosonic and fermionic fields. For the two types of the supermultiplets (with
integer and half-integer superspins) each one containing two massive bosonic
and two massive fermionic fields we derive the supertransformations leaving the
sum of four their free Lagrangians invariant such that the algebra of these
supertransformations is closed on-shell.
|
[
{
"created": "Mon, 28 Jan 2019 13:22:15 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Mar 2019 10:06:42 GMT",
"version": "v2"
}
] |
2019-05-01
|
[
[
"Buchbinder",
"I. L.",
""
],
[
"Khabarov",
"M. V.",
""
],
[
"Snegirev",
"T. V.",
""
],
[
"Zinoviev",
"Yu. M.",
""
]
] |
We give an explicit component Lagrangian construction of massive higher spin on-shell $N=1$ supermultiplets in four-dimensional Anti-de Sitter space $AdS_4$. We use a frame-like gauge invariant description of massive higher spin bosonic and fermionic fields. For the two types of the supermultiplets (with integer and half-integer superspins) each one containing two massive bosonic and two massive fermionic fields we derive the supertransformations leaving the sum of four their free Lagrangians invariant such that the algebra of these supertransformations is closed on-shell.
| 9.780541
| 6.437611
| 10.258537
| 7.215879
| 7.716957
| 7.48234
| 8.540613
| 6.732677
| 6.910317
| 11.690438
| 6.889924
| 8.129311
| 9.289688
| 8.546902
| 8.407881
| 8.618677
| 8.425126
| 8.142231
| 8.184624
| 9.351665
| 8.475558
|
hep-th/9602105
|
Sergey Solodukhin
|
V.P.Frolov, W. Israel and S.N.Solodukhin
|
On One-loop Quantum Corrections to the Thermodynamics of Charged Black
Holes
|
Latex, 32 pages
|
Phys.Rev.D54:2732-2745,1996
|
10.1103/PhysRevD.54.2732
|
Alberta Thy 06-96
|
hep-th gr-qc
| null |
Quantum corrections are studied for a charged black hole in a two-dimensional
model obtained by spherisymmetric reduction of the 4D Einstein-Maxwell theory.
The classical (tree-level) thermodynamics is re-formulated in the framework of
the off-shell approach, considering systems at arbitrary temperature. This
implies a conical singularity at the horizon and modifies the gravitational
action by terms defined on the horizon. A consistent variational procedure for
the action functional is formulated. It is shown that the free energy reaches
an extremum on the regular manifold with $T=T_H$. The one-loop contribution to
the action in the Liouville-Polyakov form is re-examined. All the boundary
terms are taken into account and the dependence on the state of the quantum
field is established. The modification of the Liouville-Polyakov term for a 2D
space with a conical defect is derived. The backreaction of the Hawking
radiation on the geometry is studied and the quantum-corrected black hole
metric is calculated perturbatively. Within the off-shell approach the one-loop
thermodynamical quantities, energy and entropy, are found. They are shown to
contain a part due to hot gas surrounding he black hole and a part due to the
hole itself. It is noted that the contribution of the hot gas can be eliminated
by appropriate choice of the (generally, non-flat) reference geometry. The
deviation of the {\it `` entropy - horizon area''} relation for the
quantum-corrected black hole from the classical law is discovered and possible
physical consequences are discussed.
|
[
{
"created": "Mon, 19 Feb 1996 21:12:56 GMT",
"version": "v1"
}
] |
2010-11-19
|
[
[
"Frolov",
"V. P.",
""
],
[
"Israel",
"W.",
""
],
[
"Solodukhin",
"S. N.",
""
]
] |
Quantum corrections are studied for a charged black hole in a two-dimensional model obtained by spherisymmetric reduction of the 4D Einstein-Maxwell theory. The classical (tree-level) thermodynamics is re-formulated in the framework of the off-shell approach, considering systems at arbitrary temperature. This implies a conical singularity at the horizon and modifies the gravitational action by terms defined on the horizon. A consistent variational procedure for the action functional is formulated. It is shown that the free energy reaches an extremum on the regular manifold with $T=T_H$. The one-loop contribution to the action in the Liouville-Polyakov form is re-examined. All the boundary terms are taken into account and the dependence on the state of the quantum field is established. The modification of the Liouville-Polyakov term for a 2D space with a conical defect is derived. The backreaction of the Hawking radiation on the geometry is studied and the quantum-corrected black hole metric is calculated perturbatively. Within the off-shell approach the one-loop thermodynamical quantities, energy and entropy, are found. They are shown to contain a part due to hot gas surrounding he black hole and a part due to the hole itself. It is noted that the contribution of the hot gas can be eliminated by appropriate choice of the (generally, non-flat) reference geometry. The deviation of the {\it `` entropy - horizon area''} relation for the quantum-corrected black hole from the classical law is discovered and possible physical consequences are discussed.
| 9.292279
| 9.632812
| 9.937994
| 9.31192
| 9.854127
| 9.946845
| 9.583909
| 9.724168
| 9.402665
| 10.389823
| 9.260862
| 9.451386
| 9.455518
| 9.349311
| 9.317519
| 9.422965
| 9.219727
| 9.098182
| 9.075817
| 9.39425
| 9.153028
|
hep-th/9811227
|
Christian Jaekel
|
Christian Jaekel
|
Nuclearity and split for thermal quantum field theories
|
plain tex, 29 pages; heuristic arguments leading to the nuclearity
conditon revised
| null | null | null |
hep-th
| null |
We review the heuristic arguments suggesting that any thermal quantum field
theory, which can be interpreted as a quantum statistical mechanics of
(interacting) relativistic particles, obeys certain restrictions on its number
of local degrees of freedom. As in the vacuum representation, these
restrictions can be expressed by a `nuclearity condition'. If a model satisfies
this nuclearity condition, then the net of von Neumann algebras representing
the local observables in the thermal representation has the split property.
|
[
{
"created": "Thu, 26 Nov 1998 16:06:54 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Apr 1999 10:11:56 GMT",
"version": "v2"
},
{
"created": "Wed, 5 Jan 2000 14:01:06 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Jaekel",
"Christian",
""
]
] |
We review the heuristic arguments suggesting that any thermal quantum field theory, which can be interpreted as a quantum statistical mechanics of (interacting) relativistic particles, obeys certain restrictions on its number of local degrees of freedom. As in the vacuum representation, these restrictions can be expressed by a `nuclearity condition'. If a model satisfies this nuclearity condition, then the net of von Neumann algebras representing the local observables in the thermal representation has the split property.
| 10.492579
| 10.637854
| 11.468559
| 10.037169
| 11.254972
| 10.713121
| 10.419586
| 10.100796
| 10.14885
| 13.931317
| 10.578762
| 9.800246
| 10.617527
| 9.625231
| 9.861896
| 9.878894
| 9.846685
| 9.783617
| 9.749844
| 11.167566
| 9.676927
|
hep-th/9410042
|
Chong Ming Yung
|
C. M. Yung and M. T. Batchelor
|
Integrable vertex and loop models on the square lattice with open
boundaries via reflection matrices
|
35 pages, LaTeX with PostScript figures; minor corrections, version
to appear in Nucl. Phys. B
|
Nucl.Phys.B435:430-462,1995
|
10.1016/0550-3213(94)00448-N
|
MRR042-94
|
hep-th
| null |
The procedure for obtaining integrable vertex models via reflection matrices
on the square lattice with open boundaries is reviewed and explicitly carried
out for a number of two- and three-state vertex models. These models include
the six-vertex model, the 15-vertex $A_2^{(1)}$ model and the 19-vertex models
of Izergin-Korepin and Zamolodchikov-Fateev. In each case the eigenspectra is
determined by application of either the algebraic or the analytic Bethe ansatz
with inhomeogeneities. With suitable choices of reflection matrices, these
vertex models can be associated with integrable loop models on the same
lattice. In general, the required choices {\em do not} coincide with those
which lead to quantum group-invariant spin chains. The exact solution of the
integrable loop models -- including an $O(n)$ model on the square lattice with
open boundaries -- is of relevance to the surface critical behaviour of
two-dimensional polymers.
|
[
{
"created": "Mon, 10 Oct 1994 14:26:39 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Oct 1994 15:06:14 GMT",
"version": "v2"
},
{
"created": "Fri, 18 Nov 1994 19:21:28 GMT",
"version": "v3"
}
] |
2010-04-08
|
[
[
"Yung",
"C. M.",
""
],
[
"Batchelor",
"M. T.",
""
]
] |
The procedure for obtaining integrable vertex models via reflection matrices on the square lattice with open boundaries is reviewed and explicitly carried out for a number of two- and three-state vertex models. These models include the six-vertex model, the 15-vertex $A_2^{(1)}$ model and the 19-vertex models of Izergin-Korepin and Zamolodchikov-Fateev. In each case the eigenspectra is determined by application of either the algebraic or the analytic Bethe ansatz with inhomeogeneities. With suitable choices of reflection matrices, these vertex models can be associated with integrable loop models on the same lattice. In general, the required choices {\em do not} coincide with those which lead to quantum group-invariant spin chains. The exact solution of the integrable loop models -- including an $O(n)$ model on the square lattice with open boundaries -- is of relevance to the surface critical behaviour of two-dimensional polymers.
| 8.381488
| 9.245248
| 9.192499
| 8.830639
| 8.999399
| 8.591684
| 9.23686
| 8.667739
| 8.667982
| 9.04124
| 8.340018
| 7.815722
| 8.425741
| 7.97653
| 7.992283
| 8.043345
| 8.073613
| 8.161367
| 8.08663
| 8.288076
| 7.736691
|
1604.04294
|
Emily Nardoni
|
Kenneth Intriligator and Emily Nardoni
|
Deformations of $W_{A,D,E}$ SCFTs
|
59 pages, many figures
| null |
10.1007/JHEP09(2016)043
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss aspects of theories with superpotentials given by Arnold's $A,D,E$
singularities, particularly the novelties that arise when the fields are
matrices. We focus on 4d ${\cal N}=1$ variants of susy QCD, with $U(N_c)$ or
$SU(N_c)$ gauge group, $N_f$ fundamental flavors, and adjoint matter fields $X$
and $Y$ appearing in $W_{A,D,E}(X,Y)$ superpotentials. Many of our
considerations also apply in other possible contexts for matrix-variable
$W_{A,D,E}$. The 4d $W_{A,D,E}$ SQCD-type theories RG flow to superconformal
field theories, and there are proposed duals in the literature for the
$W_{A_k}$, $W_{D_k}$, and $W_{E_7}$ cases. As we review, the
$W_{D_\text{even}}$ and $W_{E_7}$ duals rely on a conjectural, quantum
truncation of the chiral ring. We explore these issues by considering various
deformations of the $W_{A,D,E}$ superpotentials, and the resulting RG flows and
IR theories. Rather than finding supporting evidence for the quantum truncation
and $W_{D_\text{even}}$ and $W_{E_7}$ duals, we note some challenging evidence
to the contrary.
|
[
{
"created": "Thu, 14 Apr 2016 20:13:09 GMT",
"version": "v1"
}
] |
2016-10-12
|
[
[
"Intriligator",
"Kenneth",
""
],
[
"Nardoni",
"Emily",
""
]
] |
We discuss aspects of theories with superpotentials given by Arnold's $A,D,E$ singularities, particularly the novelties that arise when the fields are matrices. We focus on 4d ${\cal N}=1$ variants of susy QCD, with $U(N_c)$ or $SU(N_c)$ gauge group, $N_f$ fundamental flavors, and adjoint matter fields $X$ and $Y$ appearing in $W_{A,D,E}(X,Y)$ superpotentials. Many of our considerations also apply in other possible contexts for matrix-variable $W_{A,D,E}$. The 4d $W_{A,D,E}$ SQCD-type theories RG flow to superconformal field theories, and there are proposed duals in the literature for the $W_{A_k}$, $W_{D_k}$, and $W_{E_7}$ cases. As we review, the $W_{D_\text{even}}$ and $W_{E_7}$ duals rely on a conjectural, quantum truncation of the chiral ring. We explore these issues by considering various deformations of the $W_{A,D,E}$ superpotentials, and the resulting RG flows and IR theories. Rather than finding supporting evidence for the quantum truncation and $W_{D_\text{even}}$ and $W_{E_7}$ duals, we note some challenging evidence to the contrary.
| 6.624671
| 6.299532
| 7.545108
| 6.373979
| 6.722681
| 6.693565
| 6.751695
| 6.53752
| 6.518842
| 7.81744
| 6.176924
| 6.556116
| 7.070102
| 6.464027
| 6.670527
| 6.509781
| 6.781988
| 6.503168
| 6.51033
| 6.90578
| 6.360244
|
2401.01296
|
Sebasti\'an Franchino-Vi\~nas
|
S. A. Franchino-Vi\~nas
|
Comment on `Index-free Heat Kernel Coefficients'
|
4 pages
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The article by Anton E. M. van de Ven, Class. Quantum Grav. \textbf{15}
(1998), is one of the fundamental references for higher-order heat kernel
coefficients in curved backgrounds and with non-abelian gauge connections. In
this manuscript, we point out two errors and ambiguities in the $\mathsf{a}_5$
coefficient, which may also affect the higher-order ones.
|
[
{
"created": "Tue, 2 Jan 2024 17:16:17 GMT",
"version": "v1"
}
] |
2024-01-03
|
[
[
"Franchino-Viñas",
"S. A.",
""
]
] |
The article by Anton E. M. van de Ven, Class. Quantum Grav. \textbf{15} (1998), is one of the fundamental references for higher-order heat kernel coefficients in curved backgrounds and with non-abelian gauge connections. In this manuscript, we point out two errors and ambiguities in the $\mathsf{a}_5$ coefficient, which may also affect the higher-order ones.
| 14.994916
| 11.808238
| 12.998463
| 11.419428
| 13.14329
| 12.734094
| 13.119088
| 11.274337
| 11.849433
| 13.675945
| 12.729477
| 11.120742
| 11.147274
| 10.511934
| 10.759271
| 10.732167
| 10.042412
| 10.420182
| 10.939439
| 11.465005
| 12.450749
|
1310.4185
|
Nicolas Behr
|
Nicolas Behr and Anatoly Konechny
|
Renormalization and redundancy in 2d quantum field theories
|
59 pages, 5 pdf figures; V3: version equivalent to the version
published in JHEP (up to an additional footnote)
|
Journal Of High Energy Physics 2014(2) 1-60
|
10.1007/JHEP02(2014)001
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyze renormalization group (RG) flows in two-dimensional quantum field
theories in the presence of redundant directions. We use the operator picture
in which redundant operators are total derivatives. Our analysis has three
levels of generality. We introduce a redundancy anomaly equation which is
analyzed together with the RG anomaly equation previously considered by
H.Osborn [8] and D.Friedan and A.Konechny [7]. The Wess-Zumino consistency
conditions between these anomalies yield a number of general relations which
should hold to all orders in perturbation theory. We further use conformal
perturbation theory to study field theories in the vicinity of a fixed point
when some of the symmetries of the fixed point are broken by the perturbation.
We relate various anomaly coefficients to OPE coefficients at the fixed point
and analyze which operators become redundant and how they participate in the RG
flow. Finally, we illustrate our findings by three explicit models constructed
as current-current perturbations of SU(2)_k WZW model. At each generality level
we discuss the geometric picture behind redundancy and how one can reduce the
number of couplings by taking a quotient with respect to the redundant
directions. We point to the special role of polar representations for the
redundancy groups.
|
[
{
"created": "Tue, 15 Oct 2013 20:03:52 GMT",
"version": "v1"
},
{
"created": "Sun, 3 Nov 2013 16:56:19 GMT",
"version": "v2"
},
{
"created": "Fri, 14 Feb 2014 11:19:53 GMT",
"version": "v3"
}
] |
2014-02-17
|
[
[
"Behr",
"Nicolas",
""
],
[
"Konechny",
"Anatoly",
""
]
] |
We analyze renormalization group (RG) flows in two-dimensional quantum field theories in the presence of redundant directions. We use the operator picture in which redundant operators are total derivatives. Our analysis has three levels of generality. We introduce a redundancy anomaly equation which is analyzed together with the RG anomaly equation previously considered by H.Osborn [8] and D.Friedan and A.Konechny [7]. The Wess-Zumino consistency conditions between these anomalies yield a number of general relations which should hold to all orders in perturbation theory. We further use conformal perturbation theory to study field theories in the vicinity of a fixed point when some of the symmetries of the fixed point are broken by the perturbation. We relate various anomaly coefficients to OPE coefficients at the fixed point and analyze which operators become redundant and how they participate in the RG flow. Finally, we illustrate our findings by three explicit models constructed as current-current perturbations of SU(2)_k WZW model. At each generality level we discuss the geometric picture behind redundancy and how one can reduce the number of couplings by taking a quotient with respect to the redundant directions. We point to the special role of polar representations for the redundancy groups.
| 11.201488
| 13.244705
| 13.819426
| 11.795385
| 12.96628
| 13.227579
| 12.605767
| 12.195025
| 11.953439
| 13.902828
| 11.973254
| 11.764627
| 11.990891
| 11.379338
| 11.758264
| 11.688289
| 11.600445
| 11.456125
| 11.21232
| 12.084531
| 11.328625
|
2209.01680
|
Edward Olszewski
|
Edward A. Olszewski
|
Supersymmetric Dyons, Superstrings, and Rotating Wormholes
|
31 pages, 6 jpeg figures
|
Advances in High Energy Physics, Volume 2022, Article ID 7710817,
17 pages
|
10.1155/2022/7710817
| null |
hep-th
|
http://creativecommons.org/licenses/by-nc-sa/4.0/
|
We construct supersymmetric dyon solutions based on the 't Hooft/Polyakov
monopole. We show that these solutions satisfy $\kappa$ symmetry constraints
and can, therefore be generalized to supersymmetric solutions of type I SO(32)
string theory. After applying a T-duality transformation to these solutions, we
obtain two $D3$-branes connected by a wormhole, embedded in an M5 brane. We
analyze the geometries of each $D3$-brane for two cases, one corresponding to a
dyon with vanishing spin, and the other corresponding to a magnetic monopole
with non-vanishing spin. In the case of vanishing spin, the scalar curvature is
finite, everywhere, In the case of non-vanishing spin, we find a frame dragging
effect due to the spin. We also find that the scalar curvature diverges along
the spin quantization axis, as $1/\rho^2$, $\rho$ being the cylindrical, radial
coordinate defined with respect to the spin axis. These solutions demonstrate
the subtle relationship between the Yang-Mills and gravitational interactions,
i.e., gauge/gravity duality.
|
[
{
"created": "Sun, 4 Sep 2022 19:18:38 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Sep 2022 03:08:48 GMT",
"version": "v2"
},
{
"created": "Thu, 1 Dec 2022 17:15:44 GMT",
"version": "v3"
}
] |
2022-12-02
|
[
[
"Olszewski",
"Edward A.",
""
]
] |
We construct supersymmetric dyon solutions based on the 't Hooft/Polyakov monopole. We show that these solutions satisfy $\kappa$ symmetry constraints and can, therefore be generalized to supersymmetric solutions of type I SO(32) string theory. After applying a T-duality transformation to these solutions, we obtain two $D3$-branes connected by a wormhole, embedded in an M5 brane. We analyze the geometries of each $D3$-brane for two cases, one corresponding to a dyon with vanishing spin, and the other corresponding to a magnetic monopole with non-vanishing spin. In the case of vanishing spin, the scalar curvature is finite, everywhere, In the case of non-vanishing spin, we find a frame dragging effect due to the spin. We also find that the scalar curvature diverges along the spin quantization axis, as $1/\rho^2$, $\rho$ being the cylindrical, radial coordinate defined with respect to the spin axis. These solutions demonstrate the subtle relationship between the Yang-Mills and gravitational interactions, i.e., gauge/gravity duality.
| 7.930643
| 7.931952
| 8.132275
| 7.739224
| 8.404786
| 7.949456
| 8.124085
| 7.837743
| 7.851645
| 8.358591
| 7.826757
| 7.685339
| 7.559856
| 7.671022
| 7.952443
| 7.837655
| 7.564324
| 7.439905
| 7.401863
| 7.651928
| 7.507491
|
1102.3665
|
Vasilis Oikonomou
|
V. K. Oikonomou
|
A Criterion for Physically Acceptable Extra Dimensions with Boundaries
|
Revised version, references added, to appear in EPJP
|
Eur.Phys.J.Plus 126 (2011) 118
| null | null |
hep-th gr-qc hep-ph math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a criterion for deciding which compact extra dimensional spaces
yield physically reliable Newton's law corrections. We study compact manifolds
with boundary and without boundary. The boundary conditions which we use on the
boundaries are Dirichlet or Neumann. We find that compact connected Riemannian
manifolds with Dirichlet boundaries are completely excluded as extra
dimensional spaces.
|
[
{
"created": "Thu, 17 Feb 2011 19:20:37 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Dec 2011 22:40:10 GMT",
"version": "v2"
}
] |
2011-12-08
|
[
[
"Oikonomou",
"V. K.",
""
]
] |
We present a criterion for deciding which compact extra dimensional spaces yield physically reliable Newton's law corrections. We study compact manifolds with boundary and without boundary. The boundary conditions which we use on the boundaries are Dirichlet or Neumann. We find that compact connected Riemannian manifolds with Dirichlet boundaries are completely excluded as extra dimensional spaces.
| 12.414968
| 12.092129
| 10.664807
| 9.976151
| 10.765782
| 11.505401
| 12.915656
| 11.406438
| 11.15732
| 12.282291
| 10.664574
| 10.424807
| 11.040822
| 11.118995
| 10.992264
| 11.269641
| 11.3734
| 10.16169
| 11.455003
| 10.915527
| 10.640763
|
hep-th/0108221
|
S. Prem Kumar
|
Nick Dorey, Timothy J. Hollowood, S. Prem Kumar
|
An Exact Elliptic Superpotential for N=1^* Deformations of Finite N=2
Gauge Theories
|
55 pages, 5 figures, latex with JHEP.cls
|
Nucl.Phys.B624:95-145,2002
|
10.1016/S0550-3213(01)00647-2
|
SWAT-314
|
hep-th
| null |
We study relevant deformations of the N=2 superconformal theory on the
world-volume of N D3 branes at an A_{k-1} singularity. In particular, we
determine the vacuum structure of the mass-deformed theory with N=1
supersymmetry and show how the different vacua are permuted by an extended
duality symmetry. We then obtain exact, modular covariant formulae (for all k,
N and arbitrary gauge couplings) for the holomorphic observables in the massive
vacua in two different ways: by lifting to M-theory, and by compactification to
three dimensions and subsequent use of mirror symmetry. In the latter case, we
find an exact superpotential for the model which coincides with a certain
combination of the quadratic Hamiltonians of the spin generalization of the
elliptic Calogero-Moser integrable system.
|
[
{
"created": "Wed, 29 Aug 2001 19:22:11 GMT",
"version": "v1"
}
] |
2011-04-15
|
[
[
"Dorey",
"Nick",
""
],
[
"Hollowood",
"Timothy J.",
""
],
[
"Kumar",
"S. Prem",
""
]
] |
We study relevant deformations of the N=2 superconformal theory on the world-volume of N D3 branes at an A_{k-1} singularity. In particular, we determine the vacuum structure of the mass-deformed theory with N=1 supersymmetry and show how the different vacua are permuted by an extended duality symmetry. We then obtain exact, modular covariant formulae (for all k, N and arbitrary gauge couplings) for the holomorphic observables in the massive vacua in two different ways: by lifting to M-theory, and by compactification to three dimensions and subsequent use of mirror symmetry. In the latter case, we find an exact superpotential for the model which coincides with a certain combination of the quadratic Hamiltonians of the spin generalization of the elliptic Calogero-Moser integrable system.
| 7.516834
| 6.916112
| 10.456622
| 7.064334
| 7.675797
| 6.9251
| 6.89091
| 7.003346
| 7.274076
| 10.97423
| 6.91577
| 7.360197
| 8.485078
| 7.181379
| 7.494942
| 7.405259
| 7.285212
| 7.308581
| 7.060027
| 8.125098
| 7.020555
|
hep-th/0110156
|
Dipankar Chakrabarti
|
Dipankar Chakrabarti and A. Harindranath
|
Mesons in (2+1) Dimensional Light Front QCD. II. Similarity
Renormalization Approach
|
31 pages, 4 figures, to be published in Physical Review D
|
Phys.Rev. D65 (2002) 045001
|
10.1103/PhysRevD.65.045001
| null |
hep-th
| null |
Recently we have studied the Bloch effective Hamiltonian approach to bound
states in 2+1 dimensional gauge theories. Numerical calculations were carried
out to investigate the vanishing energy denominator problem. In this work we
study similarity renormalization approach to the same problem. By performing
analytical calculations with a step function form for the similarity factor, we
show that in addition to curing the vanishing energy denominator problem,
similarity approach generates linear confining interaction for large transverse
separations. However, for large longitudinal separations, the generated
interaction grows only as the square root of the longitudinal separation and
hence produces violations of rotational symmetry in the spectrum. We carry out
numerical studies in the G{\l}azek-Wilson and Wegner formalisms and present low
lying eigenvalues and wavefunctions. We investigate the sensitivity of the
spectra to various parameterizations of the similarity factor and other
parameters of the effective Hamiltonian, especially the scale $\sigma$. Our
results illustrate the need for higher order calculations of the effective
Hamiltonian in the similarity renormalization scheme.
|
[
{
"created": "Wed, 17 Oct 2001 12:50:55 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Chakrabarti",
"Dipankar",
""
],
[
"Harindranath",
"A.",
""
]
] |
Recently we have studied the Bloch effective Hamiltonian approach to bound states in 2+1 dimensional gauge theories. Numerical calculations were carried out to investigate the vanishing energy denominator problem. In this work we study similarity renormalization approach to the same problem. By performing analytical calculations with a step function form for the similarity factor, we show that in addition to curing the vanishing energy denominator problem, similarity approach generates linear confining interaction for large transverse separations. However, for large longitudinal separations, the generated interaction grows only as the square root of the longitudinal separation and hence produces violations of rotational symmetry in the spectrum. We carry out numerical studies in the G{\l}azek-Wilson and Wegner formalisms and present low lying eigenvalues and wavefunctions. We investigate the sensitivity of the spectra to various parameterizations of the similarity factor and other parameters of the effective Hamiltonian, especially the scale $\sigma$. Our results illustrate the need for higher order calculations of the effective Hamiltonian in the similarity renormalization scheme.
| 10.865558
| 11.46269
| 10.793954
| 10.20863
| 10.394287
| 11.301892
| 11.357548
| 11.066277
| 10.280022
| 11.36472
| 10.487828
| 10.268256
| 10.435392
| 10.063667
| 10.502673
| 10.571195
| 10.50551
| 10.660095
| 10.192882
| 10.854867
| 10.261856
|
1704.02936
|
Florian Preis Dr.
|
Lata Kh Joshi, Ayan Mukhopadhyay, Florian Preis, Pichai Ramadevi
|
Exact time dependence of causal correlations and nonequilibrium density
matrices in holographic systems
|
6 pages + 3 pages supplemental material, 7 figures (colour), v2:
corrected typos, changed colour coding in Fig. 1, v3: to be published in PRD,
Fig. 3 split into Figs. 3 and 4, Fig. 5 added, extended introduction
|
Phys. Rev. D 96, 106006 (2017)
|
10.1103/PhysRevD.96.106006
| null |
hep-th cond-mat.str-el gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present the first exact calculations of the time dependence of causal
correlations in driven nonequilibrium states in (2+1)-dimensional systems using
holography. Comparing exact results with those obtained from simple prototype
geometries that are parametrized only by a time dependent temperature, we find
that the universal slowly varying features are controlled just by the pump
duration and the initial and final temperatures only. We provide numerical
evidence that the locations of the event and apparent horizons in the dual
geometries can be deduced from the nonequilibrium causal correlations without
any prior knowledge of the dual gravity theory.
|
[
{
"created": "Mon, 10 Apr 2017 16:20:48 GMT",
"version": "v1"
},
{
"created": "Sun, 23 Apr 2017 21:01:26 GMT",
"version": "v2"
},
{
"created": "Mon, 20 Nov 2017 12:34:41 GMT",
"version": "v3"
}
] |
2017-11-21
|
[
[
"Joshi",
"Lata Kh",
""
],
[
"Mukhopadhyay",
"Ayan",
""
],
[
"Preis",
"Florian",
""
],
[
"Ramadevi",
"Pichai",
""
]
] |
We present the first exact calculations of the time dependence of causal correlations in driven nonequilibrium states in (2+1)-dimensional systems using holography. Comparing exact results with those obtained from simple prototype geometries that are parametrized only by a time dependent temperature, we find that the universal slowly varying features are controlled just by the pump duration and the initial and final temperatures only. We provide numerical evidence that the locations of the event and apparent horizons in the dual geometries can be deduced from the nonequilibrium causal correlations without any prior knowledge of the dual gravity theory.
| 14.469836
| 15.4549
| 14.930443
| 13.780691
| 12.823404
| 13.81741
| 14.354209
| 14.074338
| 14.086027
| 16.722588
| 13.490288
| 13.854419
| 14.465369
| 14.089852
| 14.084586
| 13.938951
| 13.762543
| 13.877771
| 13.869386
| 14.913178
| 13.864626
|
hep-th/9503125
|
Spenta Wadia
|
Spenta R. Wadia
|
A VIEW OF 2-DIM. STRING THEORY AND BLACK HOLES
|
14 pages plus two uuencoded figures
| null | null |
TIFR/TH/95-09
|
hep-th
| null |
We present a brief overview of 2-dim. string theory and its connection to the
theory of non-relativistic fermions in one dimension. We emphasize (i) the role
of $W_\infty$ algebra and (ii) the modelling of some aspects of 2-dim. black
hole physics using the phase space representation of the fermi fluid.
|
[
{
"created": "Mon, 20 Mar 1995 21:55:50 GMT",
"version": "v1"
}
] |
2009-09-25
|
[
[
"Wadia",
"Spenta R.",
""
]
] |
We present a brief overview of 2-dim. string theory and its connection to the theory of non-relativistic fermions in one dimension. We emphasize (i) the role of $W_\infty$ algebra and (ii) the modelling of some aspects of 2-dim. black hole physics using the phase space representation of the fermi fluid.
| 9.840365
| 7.47985
| 9.534578
| 7.594242
| 7.314606
| 6.758323
| 7.481516
| 6.851953
| 7.140309
| 8.687492
| 7.692113
| 7.537075
| 9.378506
| 7.881318
| 7.706697
| 7.489038
| 7.504925
| 7.556236
| 7.863867
| 9.167244
| 8.186503
|
1907.03788
|
Fedor Levkovich-Maslyuk
|
Andrea Cavagli\`a, Nikolay Gromov, Fedor Levkovich-Maslyuk
|
Separation of variables and scalar products at any rank
|
29 pages; v2: references added, minor corrections
|
JHEP 1909 (2019) 052
|
10.1007/JHEP09(2019)052
| null |
hep-th cond-mat.stat-mech math-ph math.MP math.QA nlin.SI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Separation of variables (SoV) is a special property of integrable models
which ensures that the wavefunction has a very simple factorised form in a
specially designed basis. Even though the factorisation of the wavefunction was
recently established for higher rank models by two of the authors and G. Sizov,
the measure for the scalar product was not known beyond the case of rank one
symmetry. In this paper we show how this measure can be found, bypassing an
explicit SoV construction. A key new observation is that the measure for spin
chains in a highest-weight infinite dimensional representation of sl(N) couples
Q-functions at different nesting levels in a non-symmetric fashion. We also
managed to express a large number of form factors as ratios of determinants in
our new approach. We expect our method to be applicable in a much wider setup
including the problem of computing correlators in integrable CFTs such as the
fishnet theory, N=4 SYM and the ABJM model.
|
[
{
"created": "Mon, 8 Jul 2019 18:04:19 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Aug 2019 12:06:55 GMT",
"version": "v2"
}
] |
2019-09-26
|
[
[
"Cavaglià",
"Andrea",
""
],
[
"Gromov",
"Nikolay",
""
],
[
"Levkovich-Maslyuk",
"Fedor",
""
]
] |
Separation of variables (SoV) is a special property of integrable models which ensures that the wavefunction has a very simple factorised form in a specially designed basis. Even though the factorisation of the wavefunction was recently established for higher rank models by two of the authors and G. Sizov, the measure for the scalar product was not known beyond the case of rank one symmetry. In this paper we show how this measure can be found, bypassing an explicit SoV construction. A key new observation is that the measure for spin chains in a highest-weight infinite dimensional representation of sl(N) couples Q-functions at different nesting levels in a non-symmetric fashion. We also managed to express a large number of form factors as ratios of determinants in our new approach. We expect our method to be applicable in a much wider setup including the problem of computing correlators in integrable CFTs such as the fishnet theory, N=4 SYM and the ABJM model.
| 11.350699
| 11.027704
| 14.993619
| 10.654319
| 11.72028
| 11.154141
| 11.266944
| 11.430375
| 10.944235
| 15.356397
| 10.951971
| 10.793337
| 11.924564
| 10.744533
| 10.99629
| 10.847266
| 10.742343
| 10.682647
| 10.965347
| 11.215192
| 10.640629
|
1108.4060
|
Robert Wimmer
|
Henning Samtleben, Ergin Sezgin, Robert Wimmer
|
(1,0) superconformal models in six dimensions
|
30 pages, v2: Note, some comments and references added
| null |
10.1007/JHEP12(2011)062
|
MFA-11-36, ENSL-00625359
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct six-dimensional (1,0) superconformal models with non-abelian
gauge couplings for multiple tensor multiplets. A crucial ingredient in the
construction is the introduction of three-form gauge potentials which
communicate degrees of freedom between the tensor multiplets and the Yang-Mills
multiplet, but do not introduce additional degrees of freedom. Generically
these models provide only equations of motions. For a subclass also a
Lagrangian formulation exists, however it appears to exhibit indefinite metrics
in the kinetic sector. We discuss several examples and analyze the excitation
spectra in their supersymmetric vacua. In general, the models are
perturbatively defined only in the spontaneously broken phase with the vev of
the tensor multiplet scalars serving as the inverse coupling constants of the
Yang-Mills multiplet. We briefly discuss the inclusion of hypermultiplets which
complete the field content to that of superconformal (2,0) theories.
|
[
{
"created": "Fri, 19 Aug 2011 22:05:48 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Sep 2011 15:34:29 GMT",
"version": "v2"
}
] |
2015-05-30
|
[
[
"Samtleben",
"Henning",
""
],
[
"Sezgin",
"Ergin",
""
],
[
"Wimmer",
"Robert",
""
]
] |
We construct six-dimensional (1,0) superconformal models with non-abelian gauge couplings for multiple tensor multiplets. A crucial ingredient in the construction is the introduction of three-form gauge potentials which communicate degrees of freedom between the tensor multiplets and the Yang-Mills multiplet, but do not introduce additional degrees of freedom. Generically these models provide only equations of motions. For a subclass also a Lagrangian formulation exists, however it appears to exhibit indefinite metrics in the kinetic sector. We discuss several examples and analyze the excitation spectra in their supersymmetric vacua. In general, the models are perturbatively defined only in the spontaneously broken phase with the vev of the tensor multiplet scalars serving as the inverse coupling constants of the Yang-Mills multiplet. We briefly discuss the inclusion of hypermultiplets which complete the field content to that of superconformal (2,0) theories.
| 8.492141
| 8.745721
| 10.570673
| 8.268851
| 8.84256
| 8.506689
| 8.474977
| 8.546095
| 8.430877
| 9.825183
| 8.220204
| 8.088392
| 8.860492
| 8.028574
| 8.02648
| 8.17759
| 7.936642
| 8.077534
| 8.279263
| 8.955695
| 8.108859
|
2205.03412
|
Javier Magan
|
Valentin Benedetti, Horacio Casini and Javier M. Magan
|
Generalized symmetries and Noether's theorem in QFT
|
47 pages, 6 figures
| null |
10.1007/JHEP08(2022)304
| null |
hep-th gr-qc hep-ph math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that generalized symmetries cannot be charged under a continuous
global symmetry having a Noether current. Further, only non-compact generalized
symmetries can be charged under a continuous global symmetry. These results
follow from a finer classification of twist operators, which naturally extends
to finite group global symmetries. They unravel topological obstructions to the
strong version of Noether's theorem in QFT, even if under general conditions a
global symmetry can be implemented locally by twist operators (weak version).
We use these results to rederive Weinberg-Witten's theorem within local QFT,
generalizing it to massless particles in arbitrary dimensions and
representations of the Lorentz group. Several examples with local twists but
without Noether currents are described. We end up discussing the conditions for
the strong version to hold, dynamical aspects of QFT's with non-compact
generalized symmetries, scale vs conformal invariance in QFT, connections with
the Coleman-Mandula theorem and aspects of global symmetries in quantum
gravity.
|
[
{
"created": "Fri, 6 May 2022 18:00:00 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Jun 2022 23:52:17 GMT",
"version": "v2"
}
] |
2022-09-14
|
[
[
"Benedetti",
"Valentin",
""
],
[
"Casini",
"Horacio",
""
],
[
"Magan",
"Javier M.",
""
]
] |
We show that generalized symmetries cannot be charged under a continuous global symmetry having a Noether current. Further, only non-compact generalized symmetries can be charged under a continuous global symmetry. These results follow from a finer classification of twist operators, which naturally extends to finite group global symmetries. They unravel topological obstructions to the strong version of Noether's theorem in QFT, even if under general conditions a global symmetry can be implemented locally by twist operators (weak version). We use these results to rederive Weinberg-Witten's theorem within local QFT, generalizing it to massless particles in arbitrary dimensions and representations of the Lorentz group. Several examples with local twists but without Noether currents are described. We end up discussing the conditions for the strong version to hold, dynamical aspects of QFT's with non-compact generalized symmetries, scale vs conformal invariance in QFT, connections with the Coleman-Mandula theorem and aspects of global symmetries in quantum gravity.
| 11.077963
| 11.762868
| 12.164535
| 10.554714
| 11.947145
| 11.498879
| 12.032941
| 11.8632
| 11.307749
| 12.790986
| 10.778555
| 10.747743
| 11.070261
| 10.707809
| 11.119946
| 10.931424
| 10.898442
| 11.334636
| 11.145291
| 11.568792
| 11.026552
|
hep-th/9307044
|
Li-hua Yu
|
Li Hua Yu, Chang-Pu Sun
|
Wave Function Evolution of a Dissipative System
|
10 pages, BNL-49275
|
Phys.Rev.A49:592-595,1994
|
10.1103/PhysRevA.49.592
| null |
hep-th
| null |
For a dissipative system with Ohmic friction, we obtain a simple and exact
solution for the wave function of the system plus the bath. It is described by
the direct product in two independent Hilbert space. One of them is described
by an effective Hamiltonian, the other represents the effect of the bath, i.e.,
the Brownian motion, thus clarifying the structure of the wave function of the
system whose energy is dissipated by its interaction with the bath. No path
integral technology is needed in this treatment. The derivation of the
Weisskopf-Wigner line width theory follows easily.
|
[
{
"created": "Tue, 6 Jul 1993 21:37:05 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Jul 1993 19:28:10 GMT",
"version": "v2"
},
{
"created": "Fri, 6 Aug 1993 21:21:50 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Yu",
"Li Hua",
""
],
[
"Sun",
"Chang-Pu",
""
]
] |
For a dissipative system with Ohmic friction, we obtain a simple and exact solution for the wave function of the system plus the bath. It is described by the direct product in two independent Hilbert space. One of them is described by an effective Hamiltonian, the other represents the effect of the bath, i.e., the Brownian motion, thus clarifying the structure of the wave function of the system whose energy is dissipated by its interaction with the bath. No path integral technology is needed in this treatment. The derivation of the Weisskopf-Wigner line width theory follows easily.
| 10.538383
| 10.70352
| 10.231996
| 10.114129
| 10.362235
| 11.345187
| 10.604041
| 10.47647
| 10.522189
| 10.424717
| 10.28158
| 9.708425
| 9.515788
| 9.66047
| 9.559922
| 9.789859
| 9.404369
| 9.683161
| 9.639368
| 9.371085
| 9.801506
|
1011.5487
|
Silviu Pufu
|
Christopher P. Herzog, Igor R. Klebanov, Silviu S. Pufu, and Tiberiu
Tesileanu
|
Multi-Matrix Models and Tri-Sasaki Einstein Spaces
|
36 pages, 8 figures; v2 improved section 4, refs added; v3 minor
improvements, ref added, PRD version
|
Phys.Rev.D83:046001,2011
|
10.1103/PhysRevD.83.046001
|
PUPT-2359
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Localization methods reduce the path integrals in {\cal N} >= 2
supersymmetric Chern-Simons gauge theories on S^3 to multi-matrix integrals. A
recent evaluation of such a two-matrix integral for the {\cal N}=6
superconformal U(N) x U(N) ABJM theory produced detailed agreement with the
AdS/CFT correspondence, explaining, in particular the N^{3/2} scaling of the
free energy. We study a class of p-matrix integrals describing {\cal N}=3
superconformal U(N)^p Chern-Simons gauge theories. We present a simple method
that allows us to evaluate the eigenvalue densities and the free energies in
the large N limit keeping the Chern-Simons levels k_i fixed. The dual M-theory
backgrounds are AdS_4 x Y, where Y are seven-dimensional tri-Sasaki Einstein
spaces specified by the k_i. The gravitational free energy scales inversely
with the square root of the volume of Y. We find a general formula for the
p-matrix free energies that agrees with the available results for volumes of
the tri-Sasaki Einstein spaces Y, thus providing a thorough test of the
corresponding AdS_4/CFT_3 dualities. This formula is consistent with the
Seiberg duality conjectured for Chern-Simons gauge theories.
|
[
{
"created": "Wed, 24 Nov 2010 20:20:34 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Dec 2010 00:27:51 GMT",
"version": "v2"
},
{
"created": "Sat, 19 Mar 2011 21:19:23 GMT",
"version": "v3"
}
] |
2015-03-17
|
[
[
"Herzog",
"Christopher P.",
""
],
[
"Klebanov",
"Igor R.",
""
],
[
"Pufu",
"Silviu S.",
""
],
[
"Tesileanu",
"Tiberiu",
""
]
] |
Localization methods reduce the path integrals in {\cal N} >= 2 supersymmetric Chern-Simons gauge theories on S^3 to multi-matrix integrals. A recent evaluation of such a two-matrix integral for the {\cal N}=6 superconformal U(N) x U(N) ABJM theory produced detailed agreement with the AdS/CFT correspondence, explaining, in particular the N^{3/2} scaling of the free energy. We study a class of p-matrix integrals describing {\cal N}=3 superconformal U(N)^p Chern-Simons gauge theories. We present a simple method that allows us to evaluate the eigenvalue densities and the free energies in the large N limit keeping the Chern-Simons levels k_i fixed. The dual M-theory backgrounds are AdS_4 x Y, where Y are seven-dimensional tri-Sasaki Einstein spaces specified by the k_i. The gravitational free energy scales inversely with the square root of the volume of Y. We find a general formula for the p-matrix free energies that agrees with the available results for volumes of the tri-Sasaki Einstein spaces Y, thus providing a thorough test of the corresponding AdS_4/CFT_3 dualities. This formula is consistent with the Seiberg duality conjectured for Chern-Simons gauge theories.
| 6.368309
| 5.694096
| 7.966308
| 5.824911
| 5.797598
| 5.934239
| 5.777196
| 5.800617
| 5.524374
| 7.988888
| 5.721903
| 6.028849
| 6.674972
| 5.937361
| 5.94184
| 5.982318
| 5.988095
| 5.931743
| 5.914206
| 6.512208
| 6.31532
|
2111.03655
|
Jiakang Bao
|
Jiakang Bao, Yang-Hui He, Ali Zahabi
|
Reflexions on Mahler: Dessins, Modularity and Gauge Theories
|
41 pages
| null | null |
LIMS-2021-016
|
hep-th math-ph math.AG math.MP math.NT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We provide a unified framework of Mahler measure, dessins d'enfants, and
gauge theory. With certain physically motivated Newton polynomials from
reflexive polygons, the Mahler measure and the dessin are in one-to-one
correspondence. From the Mahler measure, one can construct a Hauptmodul for a
congruence subgroup of the modular group, which contains the subgroup
associated to the dessin. In brane tilings and quiver gauge theories, the
modular Mahler flow gives a natural resolution of the inequivalence amongst the
three different complex structures $\tau_{R,G,B}$. We also study how, in
F-theory, 7-branes and their monodromies arise in the context of dessins.
Moreover, we give a dictionary on how Mahler measure generates Gromov-Witten
invariants.
|
[
{
"created": "Fri, 5 Nov 2021 17:59:19 GMT",
"version": "v1"
}
] |
2022-02-25
|
[
[
"Bao",
"Jiakang",
""
],
[
"He",
"Yang-Hui",
""
],
[
"Zahabi",
"Ali",
""
]
] |
We provide a unified framework of Mahler measure, dessins d'enfants, and gauge theory. With certain physically motivated Newton polynomials from reflexive polygons, the Mahler measure and the dessin are in one-to-one correspondence. From the Mahler measure, one can construct a Hauptmodul for a congruence subgroup of the modular group, which contains the subgroup associated to the dessin. In brane tilings and quiver gauge theories, the modular Mahler flow gives a natural resolution of the inequivalence amongst the three different complex structures $\tau_{R,G,B}$. We also study how, in F-theory, 7-branes and their monodromies arise in the context of dessins. Moreover, we give a dictionary on how Mahler measure generates Gromov-Witten invariants.
| 13.189059
| 13.16921
| 13.758583
| 11.918653
| 12.574992
| 12.584152
| 12.255603
| 12.542439
| 11.9656
| 17.41143
| 12.461921
| 12.105037
| 13.020357
| 12.304531
| 11.626452
| 12.361631
| 12.27336
| 12.092165
| 12.510418
| 12.782928
| 12.168044
|
2004.02151
|
Shotaro Shiba Funai
|
Shotaro Shiba Funai and Hirotaka Sugawara
|
Current Algebra Formulation of Quantum Gravity and Its Application to
Cosmology
|
30 pages
| null | null |
KEK-TH-2205
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Gravity theory based on current algebra is formulated. The gauge principle
rather than the general covariance combined with the equivalence principle
plays the pivotal role in the formalism, and the latter principles are derived
as a consequence of the theory. In this approach, it turns out that gauging the
Poincar\'e algebra is not appropriate but gauging the $SO(N,M)$ algebra gives a
consistent theory. This makes it possible to have Anti-de Sitter and de Sitter
space-time by adopting a relation between the spin connection and the tetrad
field. The Einstein equation is a part of our basic equation for gravity which
is written in terms of the spin connection. When this formalism is applied to
the $E(11)$ algebra in which the three-form antisymmetric tensor is a part of
gravity multiplet, we have a current algebra gravity theory based on M-theory
to be applied to cosmology in its classical limit. Without introducing any
other ad-hoc field, we can obtain accelerating universe in the manner of the
"inflating" universe at its early stage.
|
[
{
"created": "Sun, 5 Apr 2020 10:35:10 GMT",
"version": "v1"
}
] |
2020-04-07
|
[
[
"Funai",
"Shotaro Shiba",
""
],
[
"Sugawara",
"Hirotaka",
""
]
] |
Gravity theory based on current algebra is formulated. The gauge principle rather than the general covariance combined with the equivalence principle plays the pivotal role in the formalism, and the latter principles are derived as a consequence of the theory. In this approach, it turns out that gauging the Poincar\'e algebra is not appropriate but gauging the $SO(N,M)$ algebra gives a consistent theory. This makes it possible to have Anti-de Sitter and de Sitter space-time by adopting a relation between the spin connection and the tetrad field. The Einstein equation is a part of our basic equation for gravity which is written in terms of the spin connection. When this formalism is applied to the $E(11)$ algebra in which the three-form antisymmetric tensor is a part of gravity multiplet, we have a current algebra gravity theory based on M-theory to be applied to cosmology in its classical limit. Without introducing any other ad-hoc field, we can obtain accelerating universe in the manner of the "inflating" universe at its early stage.
| 12.084867
| 11.436912
| 11.315117
| 11.319016
| 11.514899
| 12.244028
| 12.401158
| 11.69172
| 11.235416
| 12.302991
| 11.798544
| 11.328992
| 11.142374
| 10.926855
| 11.410069
| 11.653336
| 11.402425
| 11.034945
| 11.205866
| 10.886196
| 11.109943
|
hep-th/0310280
|
Jean-Francois Mathiot
|
V.A. Karmanov, J.-F. Mathiot, A.V. Smirnov
|
Renormalized nonperturbative fermion model in Covariant Light Front
Dynamics
|
44 pages, 12 figures, to be publisehd in Physical Review D
|
Phys.Rev. D69 (2004) 045009
|
10.1103/PhysRevD.69.045009
| null |
hep-th hep-ph
| null |
Within the framework of the covariant formulation of Light-Front Dynamics, we
develop a nonperturbative renormalization scheme in the fermion model supposing
that the composite fermion is a superposition of the "bare" fermion and a
fermion+boson state. We first assume the constituent boson to be spinless. Then
we address the case of gauge bosons in the Feynman and in the Light-Cone
gauges. For all these cases the fermion state vector and the necessary
renormalization counterterms are calculated analytically. It turns out that in
Light-Front Dynamics, to restore the rotational invariance, an extra
counterterm is needed, having no any analogue in Feynman approach. For gauge
bosons the results obtained in the two gauges are compared with each other. In
general, the number of spin components of the two-body (fermion+boson) wave
function depends on the gauge. But due to the two-body Fock space truncation,
only one non-zero component survives for each gauge. And moreover, the whole
solutions for the state vector, found for the Feynman and Light-Cone gauges,
are the same (except for the normalization factor). The counterterms are
however different
|
[
{
"created": "Thu, 30 Oct 2003 14:40:55 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Karmanov",
"V. A.",
""
],
[
"Mathiot",
"J. -F.",
""
],
[
"Smirnov",
"A. V.",
""
]
] |
Within the framework of the covariant formulation of Light-Front Dynamics, we develop a nonperturbative renormalization scheme in the fermion model supposing that the composite fermion is a superposition of the "bare" fermion and a fermion+boson state. We first assume the constituent boson to be spinless. Then we address the case of gauge bosons in the Feynman and in the Light-Cone gauges. For all these cases the fermion state vector and the necessary renormalization counterterms are calculated analytically. It turns out that in Light-Front Dynamics, to restore the rotational invariance, an extra counterterm is needed, having no any analogue in Feynman approach. For gauge bosons the results obtained in the two gauges are compared with each other. In general, the number of spin components of the two-body (fermion+boson) wave function depends on the gauge. But due to the two-body Fock space truncation, only one non-zero component survives for each gauge. And moreover, the whole solutions for the state vector, found for the Feynman and Light-Cone gauges, are the same (except for the normalization factor). The counterterms are however different
| 9.171006
| 8.628519
| 8.609602
| 8.44102
| 9.938951
| 9.046416
| 9.534887
| 8.727863
| 8.698985
| 8.628801
| 8.658223
| 9.048673
| 8.757031
| 8.554422
| 8.879196
| 8.844646
| 8.687091
| 8.486523
| 8.553031
| 9.104729
| 8.549888
|
hep-th/9606119
|
:
|
G. Veneziano
|
String cosmology and relic gravitational radiaton
|
16 pages, LATEX, five figure included using epsf, appended as ps
file. A complete collection of papers and references on the pre-big-bang
scenario in string cosmology is available at
http://www.to.infn.it/teorici/gasperini/
| null | null |
CERN-TH/96-139
|
hep-th
| null |
String theory counterparts to Einstein's gravity, cosmology and inflation are
described. A very tight upper bound on the Cosmic Gravitational Radiation
Background (CGRB) of standard inflation is shown to be evaded in string
cosmology, while an interesting signal in the phenomenologically interesting
frequency range is all but excluded. The generic features of such a stringy
CGRB are presented.
|
[
{
"created": "Wed, 19 Jun 1996 16:09:06 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Veneziano",
"G.",
""
]
] |
String theory counterparts to Einstein's gravity, cosmology and inflation are described. A very tight upper bound on the Cosmic Gravitational Radiation Background (CGRB) of standard inflation is shown to be evaded in string cosmology, while an interesting signal in the phenomenologically interesting frequency range is all but excluded. The generic features of such a stringy CGRB are presented.
| 18.667379
| 20.892248
| 16.34166
| 15.144134
| 17.638147
| 17.444998
| 17.439537
| 15.759895
| 15.006508
| 16.271334
| 17.108294
| 15.979773
| 15.280191
| 16.310741
| 17.138153
| 16.631779
| 16.41099
| 16.303938
| 15.419484
| 15.410892
| 15.326429
|
hep-th/9304010
|
Hiroshi Shirokura
|
Yoichro Matsumura, Norisuke Sakai and Hiroshi Shirokura
|
Macroscopic Loop Amplitudes in Two-Dimensional Dilaton Gravity
|
23 pages, LaTeX, TIT/HEP-210
|
Prog.Theor.Phys. 90 (1993) 201-218
|
10.1143/ptp/90.1.201
| null |
hep-th
| null |
Macroscopic loop amplitudes are obtained for the dilation gravity in
two-dimensions. The dependence on the macroscopic loop length $l$ is completely
determined by using the Wheeler-DeWitt equation in the mini-superspace
approximation. The dependence on the cosmological constant $\Lambda$ is also
determined by using the scaling argument in addition.
|
[
{
"created": "Mon, 5 Apr 1993 05:58:36 GMT",
"version": "v1"
}
] |
2017-02-01
|
[
[
"Matsumura",
"Yoichro",
""
],
[
"Sakai",
"Norisuke",
""
],
[
"Shirokura",
"Hiroshi",
""
]
] |
Macroscopic loop amplitudes are obtained for the dilation gravity in two-dimensions. The dependence on the macroscopic loop length $l$ is completely determined by using the Wheeler-DeWitt equation in the mini-superspace approximation. The dependence on the cosmological constant $\Lambda$ is also determined by using the scaling argument in addition.
| 9.042688
| 6.091556
| 9.151678
| 7.480307
| 7.31002
| 6.994543
| 6.432796
| 7.066813
| 7.232906
| 9.199329
| 7.173965
| 7.566884
| 8.552446
| 7.766338
| 7.405878
| 7.442989
| 7.493048
| 7.458312
| 7.431405
| 8.815834
| 7.660418
|
hep-th/0510076
|
Oren Bergman Dr.
|
Oren Bergman and Shinji Hirano
|
Semi-localized instability of the Kaluza-Klein linear dilaton vacuum
|
27 pages, 4 figures; v2: References added
|
Nucl.Phys.B744:136-155,2006
|
10.1016/j.nuclphysb.2006.03.024
| null |
hep-th
| null |
The Kaluza-Klein linear dilaton background of the bosonic string and the
Scherk-Schwarz linear dilaton background of the superstring are shown to be
unstable to the decay of half of spacetime. The decay proceeds via a
condensation of a semi-localized tachyon when the circle is smaller than a
critical size, and via a semiclassical instanton process when the circle is
larger than the critical size. At criticality the two pictures are related by a
duality of the corresponding two-dimensional conformal field theories. This
provides a concrete realization of the connection between tachyonic and
semiclassical instabilities in closed string theory, and lends strong support
to the idea that non-localized closed string tachyon condensation leads to the
annihilation of spacetime.
|
[
{
"created": "Mon, 10 Oct 2005 15:31:57 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Oct 2005 08:52:44 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Bergman",
"Oren",
""
],
[
"Hirano",
"Shinji",
""
]
] |
The Kaluza-Klein linear dilaton background of the bosonic string and the Scherk-Schwarz linear dilaton background of the superstring are shown to be unstable to the decay of half of spacetime. The decay proceeds via a condensation of a semi-localized tachyon when the circle is smaller than a critical size, and via a semiclassical instanton process when the circle is larger than the critical size. At criticality the two pictures are related by a duality of the corresponding two-dimensional conformal field theories. This provides a concrete realization of the connection between tachyonic and semiclassical instabilities in closed string theory, and lends strong support to the idea that non-localized closed string tachyon condensation leads to the annihilation of spacetime.
| 6.73122
| 6.094293
| 7.276672
| 5.675083
| 6.574897
| 6.058489
| 6.425459
| 6.140302
| 5.800373
| 7.888956
| 5.67589
| 6.045026
| 6.259112
| 5.880941
| 6.365299
| 5.989644
| 5.88887
| 6.182178
| 6.352562
| 6.711746
| 6.259558
|
hep-th/9211053
| null |
A. Fring, G. Mussardo, P. Simonetti
|
Form Factors for Integrable Lagrangian Field Theories, the Sinh-Gordon
Model
|
40 pages
|
Nucl.Phys. B393 (1993) 413-441
|
10.1016/0550-3213(93)90252-K
| null |
hep-th
| null |
Using Watson's and the recursive equations satisfied by matrix elements of
local operators in two-dimensional integrable models, we compute the form
factors of the elementary field $\phi(x)$ and the stress-energy tensor
$T_{\mu\nu}(x)$ of Sinh-Gordon theory. Form factors of operators with higher
spin or with different asymptotic behaviour can easily be deduced from them.
The value of the correlation functions are saturated by the form factors with
lowest number of particle terms. This is illustrated by an application of the
form factors of the trace of $T_{\mu\nu}(x)$ to the sum rule of the
$c$-theorem.
|
[
{
"created": "Wed, 11 Nov 1992 08:19:49 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Fring",
"A.",
""
],
[
"Mussardo",
"G.",
""
],
[
"Simonetti",
"P.",
""
]
] |
Using Watson's and the recursive equations satisfied by matrix elements of local operators in two-dimensional integrable models, we compute the form factors of the elementary field $\phi(x)$ and the stress-energy tensor $T_{\mu\nu}(x)$ of Sinh-Gordon theory. Form factors of operators with higher spin or with different asymptotic behaviour can easily be deduced from them. The value of the correlation functions are saturated by the form factors with lowest number of particle terms. This is illustrated by an application of the form factors of the trace of $T_{\mu\nu}(x)$ to the sum rule of the $c$-theorem.
| 9.499962
| 8.088884
| 10.162217
| 7.314514
| 8.097815
| 7.303757
| 7.645713
| 7.335167
| 7.711294
| 10.562478
| 7.994782
| 7.845161
| 8.599296
| 7.828715
| 7.596956
| 7.722882
| 7.922267
| 7.831704
| 7.877966
| 8.333054
| 8.097604
|
1205.6914
|
Aram Saharian
|
E. R. Bezerra de Mello, V. B. Bezerra, H. F. Mota, A. A. Saharian
|
Casimir-Polder interaction between an atom and a conducting wall in
cosmic string spacetime
|
17 pages, 3 figures
|
Phys. Rev. D 86 (2012) 065023
|
10.1103/PhysRevD.86.065023
| null |
hep-th astro-ph.CO cond-mat.mes-hall gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Casimir-Polder interaction potential is evaluated for a polarizable
microparticle and a conducting wall in the geometry of a cosmic string
perpendicular to the wall. The general case of the anisotropic polarizability
tensor for the microparticle is considered. The corresponding force is a
function of the wall-microparticle and cosmic string-microparticle distances.
Depending on the orientation of the polarizability tensor principal axes the
force can be either attractive or repulsive. The asymptotic behavior of the
Casimir-Polder potential is investigated at large and small separations
compared to the wavelength of the dominant atomic transitions. We show that the
conical defect may be used to control the strength and the sign of the
Casimir-Polder force.
|
[
{
"created": "Thu, 31 May 2012 08:27:41 GMT",
"version": "v1"
}
] |
2012-09-20
|
[
[
"de Mello",
"E. R. Bezerra",
""
],
[
"Bezerra",
"V. B.",
""
],
[
"Mota",
"H. F.",
""
],
[
"Saharian",
"A. A.",
""
]
] |
The Casimir-Polder interaction potential is evaluated for a polarizable microparticle and a conducting wall in the geometry of a cosmic string perpendicular to the wall. The general case of the anisotropic polarizability tensor for the microparticle is considered. The corresponding force is a function of the wall-microparticle and cosmic string-microparticle distances. Depending on the orientation of the polarizability tensor principal axes the force can be either attractive or repulsive. The asymptotic behavior of the Casimir-Polder potential is investigated at large and small separations compared to the wavelength of the dominant atomic transitions. We show that the conical defect may be used to control the strength and the sign of the Casimir-Polder force.
| 5.375287
| 4.955817
| 5.541658
| 5.010105
| 5.276944
| 4.928955
| 5.146682
| 5.026474
| 5.356969
| 5.943889
| 4.869181
| 5.018998
| 5.251006
| 4.892536
| 4.988819
| 4.921141
| 4.929893
| 5.08976
| 5.196424
| 5.329375
| 5.150397
|
1501.07499
|
Chethan Krishnan
|
Pallab Basu, Chethan Krishnan, P. N. Bala Subramanian
|
AdS (In)stability: Lessons From The Scalar Field
|
10 pages, 4 figures
| null |
10.1016/j.physletb.2015.05.009
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We argued in arXiv:1408.0624 that the quartic scalar field in AdS has
features that could be instructive for answering the gravitational stability
question of AdS. Indeed, the conserved charges identified there have recently
been observed in the full gravity theory as well. In this paper, we continue
our investigation of the scalar field in AdS and provide evidence that in the
Two-Time Formalism (TTF), even for initial conditions that are far from
quasi-periodicity, the energy in the higher modes at late times is
exponentially suppressed in the mode number. Based on this and some related
observations, we argue that there is no thermalization in the scalar TTF model
within time-scales that go as $\sim 1/\epsilon^2$, where $\epsilon$ measures
the initial amplitude (with only low-lying modes excited). It is tempting to
speculate that the result holds also for AdS collapse.
|
[
{
"created": "Thu, 29 Jan 2015 16:26:50 GMT",
"version": "v1"
}
] |
2015-06-11
|
[
[
"Basu",
"Pallab",
""
],
[
"Krishnan",
"Chethan",
""
],
[
"Subramanian",
"P. N. Bala",
""
]
] |
We argued in arXiv:1408.0624 that the quartic scalar field in AdS has features that could be instructive for answering the gravitational stability question of AdS. Indeed, the conserved charges identified there have recently been observed in the full gravity theory as well. In this paper, we continue our investigation of the scalar field in AdS and provide evidence that in the Two-Time Formalism (TTF), even for initial conditions that are far from quasi-periodicity, the energy in the higher modes at late times is exponentially suppressed in the mode number. Based on this and some related observations, we argue that there is no thermalization in the scalar TTF model within time-scales that go as $\sim 1/\epsilon^2$, where $\epsilon$ measures the initial amplitude (with only low-lying modes excited). It is tempting to speculate that the result holds also for AdS collapse.
| 12.684149
| 13.617757
| 13.364878
| 11.954764
| 12.660372
| 12.960826
| 13.487766
| 13.192777
| 13.050431
| 13.545403
| 12.185329
| 11.787232
| 11.878256
| 11.75407
| 12.063002
| 11.873474
| 12.186485
| 11.837749
| 11.909461
| 11.421204
| 11.627658
|
1812.07580
|
Felix Rudolph
|
Chrysoula Markou, Felix J. Rudolph, Angnis Schmidt-May
|
Vierbein interactions with antisymmetric components
|
17 pages, 4 figures. v2: added extended discussion of tachyonic mass
pole
| null | null |
MPP-2018-297
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we propose a new gravitational setup formulated in terms of two
interacting vierbein fields. The theory is the fully diffeomorphism and local
Lorentz invariant extension of a previous construction which involved a fixed
reference vierbein. Certain vierbein components can be shifted by local Lorentz
transformations and do not enter the associated metric tensors. We parameterize
these components by an antisymmetric tensor field and give them a kinetic term
in the action, thereby promoting them to dynamical variables. In addition, the
action contains two Einstein-Hilbert terms and an interaction potential whose
form is inspired by ghost-free massive gravity and bimetric theory. The
resulting theory describes the interactions of a massless spin-2, a massive
spin-2 and an antisymmetric tensor field. It can be generalized to the case of
multiple massive spin-2 fields and multiple antisymmetric tensor fields. The
absence of additional and potentially pathological degrees of freedom is
verified in an ADM analysis. However, the antisymmetric tensor fluctuation
around the maximally symmetric background solution has a tachyonic mass pole.
|
[
{
"created": "Tue, 18 Dec 2018 19:00:02 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Jan 2019 10:26:21 GMT",
"version": "v2"
}
] |
2019-01-21
|
[
[
"Markou",
"Chrysoula",
""
],
[
"Rudolph",
"Felix J.",
""
],
[
"Schmidt-May",
"Angnis",
""
]
] |
In this work we propose a new gravitational setup formulated in terms of two interacting vierbein fields. The theory is the fully diffeomorphism and local Lorentz invariant extension of a previous construction which involved a fixed reference vierbein. Certain vierbein components can be shifted by local Lorentz transformations and do not enter the associated metric tensors. We parameterize these components by an antisymmetric tensor field and give them a kinetic term in the action, thereby promoting them to dynamical variables. In addition, the action contains two Einstein-Hilbert terms and an interaction potential whose form is inspired by ghost-free massive gravity and bimetric theory. The resulting theory describes the interactions of a massless spin-2, a massive spin-2 and an antisymmetric tensor field. It can be generalized to the case of multiple massive spin-2 fields and multiple antisymmetric tensor fields. The absence of additional and potentially pathological degrees of freedom is verified in an ADM analysis. However, the antisymmetric tensor fluctuation around the maximally symmetric background solution has a tachyonic mass pole.
| 7.222694
| 7.263783
| 7.546354
| 6.920354
| 7.10449
| 7.435048
| 6.977456
| 7.4037
| 6.924716
| 7.74854
| 6.938428
| 6.670052
| 7.19597
| 7.004225
| 6.900973
| 6.967517
| 7.059291
| 6.992978
| 6.825995
| 7.249055
| 6.86902
|
1112.5764
|
Hongsheng Zhang
|
Hongsheng Zhang, Zongkuan Guo, Chiyi Chen, Xin-Zhou Li
|
On asymmetric brane creation
|
20 pages, JHEP in press. It is a significantly improved version of
hep-th/0412317
|
JHEP 01 (2012) 019
|
10.1007/JHEP01(2012)019
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We exhaust the brane instanton solutions---an Einstein brane inhabiting at
different positions in a 5-dimensional Einstein bulk with negative curvature.
We construct a brane instanton model consisting of a brane with asymmetric bulk
along two sides of the brane. And the junction condition of the resulting
space-time is analyzed in the frame of induced gravity (DGP model). In spirits
of quantum gravity of path integral formulism we calculate the Euclidean
actions on three canonical paths and then compare the Euclidean actions of
different instantons per unit 4-volume. We also compare the Euclidean actions
per unit 4-volume of instantons, which consist of a brane gluing to a fixed
half, with other Euclidean actions of halves possessing different cosmological
constants.
|
[
{
"created": "Sun, 25 Dec 2011 02:33:27 GMT",
"version": "v1"
}
] |
2012-02-16
|
[
[
"Zhang",
"Hongsheng",
""
],
[
"Guo",
"Zongkuan",
""
],
[
"Chen",
"Chiyi",
""
],
[
"Li",
"Xin-Zhou",
""
]
] |
We exhaust the brane instanton solutions---an Einstein brane inhabiting at different positions in a 5-dimensional Einstein bulk with negative curvature. We construct a brane instanton model consisting of a brane with asymmetric bulk along two sides of the brane. And the junction condition of the resulting space-time is analyzed in the frame of induced gravity (DGP model). In spirits of quantum gravity of path integral formulism we calculate the Euclidean actions on three canonical paths and then compare the Euclidean actions of different instantons per unit 4-volume. We also compare the Euclidean actions per unit 4-volume of instantons, which consist of a brane gluing to a fixed half, with other Euclidean actions of halves possessing different cosmological constants.
| 22.614592
| 20.345104
| 24.614397
| 21.630274
| 24.775183
| 18.040697
| 20.079376
| 19.189438
| 19.572643
| 25.950956
| 20.598585
| 21.246813
| 22.237455
| 22.304369
| 23.188429
| 21.448654
| 21.807495
| 21.410067
| 20.700258
| 22.609293
| 21.994284
|
1812.10350
|
Horatiu Stefan Nastase
|
Horatiu Nastase
|
Causal faster than light travel from travel-localized second time
coordinate
|
19 pages, one figure; comments on unitarity added
|
Phys. Rev. D 100, 045021 (2019)
|
10.1103/PhysRevD.100.045021
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
I present a {\em general relativistic} model with a compactified second time
coordinate that {\em a priori} allows for causal, yet faster than light travel
in the background of a FLRW geometry, by local modification of a higher
dimensional background geometry, specifically with respect to the radius of the
compactified time coordinate. The modification can be induced via the fields of
the model.
I show that one cannot convert (as possible in special relativistic models,
or simple general relativistic models) the super-luminality into closed
time-like loops violating causality, due to a novel combination of factors, at
least for $v_{\rm max}\leq \sqrt{2}$. The physics of the second time is
constrained by postulates derived from reasonable physical assumptions.
I comment on the possibility of experimental implications of the model.
|
[
{
"created": "Wed, 26 Dec 2018 15:55:38 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Aug 2019 17:58:52 GMT",
"version": "v2"
}
] |
2019-09-04
|
[
[
"Nastase",
"Horatiu",
""
]
] |
I present a {\em general relativistic} model with a compactified second time coordinate that {\em a priori} allows for causal, yet faster than light travel in the background of a FLRW geometry, by local modification of a higher dimensional background geometry, specifically with respect to the radius of the compactified time coordinate. The modification can be induced via the fields of the model. I show that one cannot convert (as possible in special relativistic models, or simple general relativistic models) the super-luminality into closed time-like loops violating causality, due to a novel combination of factors, at least for $v_{\rm max}\leq \sqrt{2}$. The physics of the second time is constrained by postulates derived from reasonable physical assumptions. I comment on the possibility of experimental implications of the model.
| 16.633219
| 17.178793
| 16.015102
| 16.924854
| 17.332481
| 19.101519
| 16.69083
| 15.03056
| 15.214822
| 17.016838
| 15.816144
| 15.367403
| 15.540631
| 15.588298
| 15.093007
| 15.603924
| 15.333904
| 15.440149
| 15.429727
| 15.547547
| 14.954248
|
2401.15078
|
Giorgi Butbaia
|
Giorgi Butbaia, Dami\'an Mayorga Pe\~na, Justin Tan, Per Berglund,
Tristan H\"ubsch, Vishnu Jejjala, Challenger Mishra
|
Physical Yukawa Couplings in Heterotic String Compactifications
|
33 pages, 11 figures, 2 tables, 3 lemmas, 1 theorem. v2: Minor edits
| null | null | null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
One of the challenges of heterotic compactification on a Calabi-Yau threefold
is to determine the physical $(\mathbf{27})^3$ Yukawa couplings of the
resulting four-dimensional $\mathcal{N}=1$ theory. In general, the calculation
necessitates knowledge of the Ricci-flat metric. However, in the standard
embedding, which references the tangent bundle, we can compute normalized
Yukawa couplings from the Weil-Petersson metric on the moduli space of complex
structure deformations of the Calabi-Yau manifold. In various examples (the
Fermat quintic, the intersection of two cubics in $\mathbb{P}^5$, and the
Tian-Yau manifold), we calculate the normalized Yukawa couplings for
$(2,1)$-forms using the Weil-Petersson metric obtained from the Kodaira-Spencer
map. In cases where $h^{1,1}=1$, this is compared to a complementary
calculation based on performing period integrals. A third expression for the
normalized Yukawa couplings is obtained from a machine learned approximate
Ricci-flat metric making use of explicit harmonic representatives. The
excellent agreement between the different approaches opens the door to
precision string phenomenology.
|
[
{
"created": "Fri, 26 Jan 2024 18:59:30 GMT",
"version": "v1"
},
{
"created": "Wed, 1 May 2024 16:27:39 GMT",
"version": "v2"
}
] |
2024-05-02
|
[
[
"Butbaia",
"Giorgi",
""
],
[
"Peña",
"Damián Mayorga",
""
],
[
"Tan",
"Justin",
""
],
[
"Berglund",
"Per",
""
],
[
"Hübsch",
"Tristan",
""
],
[
"Jejjala",
"Vishnu",
""
],
[
"Mishra",
"Challenger",
""
]
] |
One of the challenges of heterotic compactification on a Calabi-Yau threefold is to determine the physical $(\mathbf{27})^3$ Yukawa couplings of the resulting four-dimensional $\mathcal{N}=1$ theory. In general, the calculation necessitates knowledge of the Ricci-flat metric. However, in the standard embedding, which references the tangent bundle, we can compute normalized Yukawa couplings from the Weil-Petersson metric on the moduli space of complex structure deformations of the Calabi-Yau manifold. In various examples (the Fermat quintic, the intersection of two cubics in $\mathbb{P}^5$, and the Tian-Yau manifold), we calculate the normalized Yukawa couplings for $(2,1)$-forms using the Weil-Petersson metric obtained from the Kodaira-Spencer map. In cases where $h^{1,1}=1$, this is compared to a complementary calculation based on performing period integrals. A third expression for the normalized Yukawa couplings is obtained from a machine learned approximate Ricci-flat metric making use of explicit harmonic representatives. The excellent agreement between the different approaches opens the door to precision string phenomenology.
| 6.797372
| 6.957375
| 8.067822
| 6.570529
| 7.170649
| 7.719358
| 7.211033
| 7.004798
| 6.877414
| 8.732744
| 6.68262
| 6.7454
| 7.055808
| 6.490365
| 6.679533
| 6.892625
| 6.555283
| 6.693616
| 6.754426
| 6.820908
| 6.682783
|
1112.5937
|
Corneliu \c{S}ochichiu
|
Corneliu Sochichiu
|
Dirac lattice
|
26 pages, 4 figures; typo and grammatical corrections, new
reference(s) added, version accepted for publication
| null |
10.1088/1751-8113/46/1/015002
| null |
hep-th cond-mat.mes-hall hep-lat math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the emergence of Dirac fermionic field in the low energy description
of non-relativistic dynamical models on graphs admitting continuum limit. The
Dirac fermionic field appears as the effective field describing the excitations
above point-like Fermi surface. Together with the Dirac fermionic field an
effective space-time metric is also emerging. We analyze the conditions for
such Fermi points to appear in general, paying special attention to the cases
of two and three spacial dimensions.
|
[
{
"created": "Tue, 27 Dec 2011 08:08:47 GMT",
"version": "v1"
},
{
"created": "Sat, 10 Nov 2012 03:07:56 GMT",
"version": "v2"
}
] |
2015-06-03
|
[
[
"Sochichiu",
"Corneliu",
""
]
] |
We study the emergence of Dirac fermionic field in the low energy description of non-relativistic dynamical models on graphs admitting continuum limit. The Dirac fermionic field appears as the effective field describing the excitations above point-like Fermi surface. Together with the Dirac fermionic field an effective space-time metric is also emerging. We analyze the conditions for such Fermi points to appear in general, paying special attention to the cases of two and three spacial dimensions.
| 11.045511
| 11.401758
| 9.808853
| 9.582974
| 10.039841
| 10.036464
| 9.527974
| 10.002826
| 9.697339
| 10.668536
| 9.955674
| 9.969838
| 10.751931
| 9.905504
| 10.278294
| 10.594971
| 10.097492
| 10.008325
| 10.513212
| 10.302885
| 9.9364
|
2112.11477
|
Ver\'onica Errasti D\'iez
|
Ver\'onica Errasti D\'iez and Marina Krstic Marinkovic
|
Symplectic quantization of multi-field Generalized Proca electrodynamics
|
22 pages, 1 table. v2: Introduction extended, references added, minor
rewriting; journal version; 23 pages, 1 table
|
Phys. Rev. D 105, 105022 (2022)
|
10.1103/PhysRevD.105.105022
| null |
hep-th hep-lat quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explicitly carry out the symplectic quantization of a family of
multi-field Generalized Proca (GP) electrodynamics theories. In the process, we
provide an independent derivation of the so-called secondary constraint
enforcing relations -- consistency conditions that significantly restrict the
allowed interactions in multi-field settings already at the classical level.
Additionally, we unveil the existence of quantum consistency conditions, which
apply in both single- and multi-field GP scenarios. Our newly found conditions
imply that not all classically well-defined (multi-)GP theories are amenable to
quantization. The extension of our results to the most general multi-GP class
is conceptually straightforward, albeit algebraically cumbersome.
|
[
{
"created": "Tue, 21 Dec 2021 19:04:13 GMT",
"version": "v1"
},
{
"created": "Wed, 25 May 2022 17:56:11 GMT",
"version": "v2"
}
] |
2022-05-26
|
[
[
"Díez",
"Verónica Errasti",
""
],
[
"Marinkovic",
"Marina Krstic",
""
]
] |
We explicitly carry out the symplectic quantization of a family of multi-field Generalized Proca (GP) electrodynamics theories. In the process, we provide an independent derivation of the so-called secondary constraint enforcing relations -- consistency conditions that significantly restrict the allowed interactions in multi-field settings already at the classical level. Additionally, we unveil the existence of quantum consistency conditions, which apply in both single- and multi-field GP scenarios. Our newly found conditions imply that not all classically well-defined (multi-)GP theories are amenable to quantization. The extension of our results to the most general multi-GP class is conceptually straightforward, albeit algebraically cumbersome.
| 11.650787
| 10.898328
| 11.486257
| 10.667616
| 11.270275
| 12.030939
| 11.009244
| 10.929929
| 11.033493
| 12.722246
| 10.837994
| 11.313813
| 11.488011
| 10.664006
| 10.835947
| 10.888545
| 10.99468
| 10.715675
| 11.35812
| 10.830977
| 11.214611
|
hep-th/0301187
|
Leopoldo A. Pando Zayas
|
James T. Liu, Leopoldo A. Pando Zayas and Diana Vaman
|
On Horizons and Plane Waves
|
46 pp, 1 figure
|
Class.Quant.Grav. 20 (2003) 4343-4374
|
10.1088/0264-9381/20/20/302
|
MCTP-03-01, PUPT-2073
|
hep-th
| null |
We investigate the possibility of having an event horizon within several
classes of metrics that asymptote to the maximally supersymmetric IIB plane
wave. We show that the presence of a null Killing vector (not necessarily
covariantly constant) implies an effective separation of the Einstein equations
into a standard and a wave component. This feature may be used to generate new
supergravity solutions asymptotic to the maximally supersymmetric IIB plane
wave, starting from standard seed solutions such as branes or intersecting
branes in flat space. We find that in many cases it is possible to preserve the
extremal horizon of the seed solution. On the other hand, non-extremal
deformations of the plane wave solution result in naked singularities. More
generally, we prove a no-go theorem against the existence of horizons for
backgrounds with a null Killing vector and which contain at most null matter
fields. Further attempts at turning on a nonzero Hawking temperature by
introducing additional matter have proven unsuccessful. This suggests that one
must remove the null Killing vector in order to obtain a horizon. We provide a
perturbative argument indicating that this is in fact possible.
|
[
{
"created": "Thu, 23 Jan 2003 20:26:17 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Liu",
"James T.",
""
],
[
"Zayas",
"Leopoldo A. Pando",
""
],
[
"Vaman",
"Diana",
""
]
] |
We investigate the possibility of having an event horizon within several classes of metrics that asymptote to the maximally supersymmetric IIB plane wave. We show that the presence of a null Killing vector (not necessarily covariantly constant) implies an effective separation of the Einstein equations into a standard and a wave component. This feature may be used to generate new supergravity solutions asymptotic to the maximally supersymmetric IIB plane wave, starting from standard seed solutions such as branes or intersecting branes in flat space. We find that in many cases it is possible to preserve the extremal horizon of the seed solution. On the other hand, non-extremal deformations of the plane wave solution result in naked singularities. More generally, we prove a no-go theorem against the existence of horizons for backgrounds with a null Killing vector and which contain at most null matter fields. Further attempts at turning on a nonzero Hawking temperature by introducing additional matter have proven unsuccessful. This suggests that one must remove the null Killing vector in order to obtain a horizon. We provide a perturbative argument indicating that this is in fact possible.
| 8.887776
| 9.43041
| 9.326469
| 8.619588
| 9.386657
| 8.76118
| 8.837145
| 8.59419
| 8.776562
| 9.727131
| 8.905464
| 8.78436
| 8.784052
| 8.564876
| 8.734708
| 8.673452
| 8.773491
| 8.552624
| 8.722974
| 8.694138
| 8.58259
|
hep-th/0107178
|
Oren Bergman
|
O. Bergman, J. Brodie, Y. Okawa
|
The Stringy Quantum Hall Fluid
|
24 pages, 2 figures; references added
|
JHEP 0111:019,2001
|
10.1088/1126-6708/2001/11/019
|
CALT-68-2338, CITUSC/01-026, SLAC-PUB-8916
|
hep-th
| null |
Using branes in massive Type IIA string theory, and a novel decoupling limit,
we provide an explicit correspondence between non-commutative Chern-Simons
theory and the fractional quantum Hall fluid. The role of the electrons is
played by D-particles, the background magnetic field corresponds to a RR 2-form
flux, and the two-dimensional fluid is described by non-commutative D2-branes.
The filling fraction is given by the ratio of the number of D2-branes and the
number of D8-branes, and therefore by the ratio rank/level of the Chern-Simons
gauge theory. Quasiparticles and quasiholes are realized as endpoints of
fundamental strings on the D2-branes, and are found to possess fractional
D-particle charges and fractional statistics.
|
[
{
"created": "Fri, 20 Jul 2001 22:23:57 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Jul 2001 21:38:00 GMT",
"version": "v2"
}
] |
2010-02-03
|
[
[
"Bergman",
"O.",
""
],
[
"Brodie",
"J.",
""
],
[
"Okawa",
"Y.",
""
]
] |
Using branes in massive Type IIA string theory, and a novel decoupling limit, we provide an explicit correspondence between non-commutative Chern-Simons theory and the fractional quantum Hall fluid. The role of the electrons is played by D-particles, the background magnetic field corresponds to a RR 2-form flux, and the two-dimensional fluid is described by non-commutative D2-branes. The filling fraction is given by the ratio of the number of D2-branes and the number of D8-branes, and therefore by the ratio rank/level of the Chern-Simons gauge theory. Quasiparticles and quasiholes are realized as endpoints of fundamental strings on the D2-branes, and are found to possess fractional D-particle charges and fractional statistics.
| 6.994868
| 7.270801
| 8.347301
| 6.588432
| 7.033226
| 6.971447
| 7.455072
| 6.481205
| 6.45137
| 8.928909
| 6.776308
| 6.610048
| 7.328258
| 6.562395
| 6.896646
| 6.523041
| 6.387932
| 6.711968
| 6.569559
| 7.397681
| 6.330947
|
1312.6914
|
Herman Verlinde
|
Steven Jackson, Razieh Pourhasan and Herman Verlinde
|
Geometric RG Flow
|
20 pages, 3 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We define geometric RG flow equations that specify the scale dependence of
the renormalized effective action Gamma[g] and the geometric entanglement
entropy S[x] of a QFT, considered as functionals of the background metric g and
the shape x of the entanglement surface. We show that for QFTs with AdS duals,
the respective flow equations are described by Ricci flow and mean curvature
flow. For holographic theories, the diffusion rate of the RG flow is much
larger, by a factor R_{AdS}^2/\ell_s^2, than the RG resolution length scale. To
derive our results. we employ the Hamilton-Jacobi equations that dictate the
dependence of the total bulk action and the minimal surface area on the
geometric QFT boundary data.
|
[
{
"created": "Wed, 25 Dec 2013 03:35:14 GMT",
"version": "v1"
}
] |
2013-12-30
|
[
[
"Jackson",
"Steven",
""
],
[
"Pourhasan",
"Razieh",
""
],
[
"Verlinde",
"Herman",
""
]
] |
We define geometric RG flow equations that specify the scale dependence of the renormalized effective action Gamma[g] and the geometric entanglement entropy S[x] of a QFT, considered as functionals of the background metric g and the shape x of the entanglement surface. We show that for QFTs with AdS duals, the respective flow equations are described by Ricci flow and mean curvature flow. For holographic theories, the diffusion rate of the RG flow is much larger, by a factor R_{AdS}^2/\ell_s^2, than the RG resolution length scale. To derive our results. we employ the Hamilton-Jacobi equations that dictate the dependence of the total bulk action and the minimal surface area on the geometric QFT boundary data.
| 10.455082
| 10.237857
| 11.923152
| 10.108108
| 10.342794
| 10.276649
| 10.392466
| 9.547485
| 9.225224
| 13.383821
| 9.715054
| 9.822165
| 10.498717
| 10.022406
| 9.844748
| 10.053842
| 9.932696
| 10.237053
| 9.565919
| 10.679359
| 9.500605
|
hep-th/9209093
|
Horst Kausch
|
H.G. Kausch
|
W-algebras arising as chiral algebras of conformal field theory
|
5 pages LaTeX, Imperial/TH/91-92/38
| null | null | null |
hep-th
| null |
It is argued that chiral algebras of conformal field theory possess a
W-algebra structure. A survey of explicitly known W-algebras and their
constructions is given. (Talk given at the XIX International Colloquium on
``Group Theoretical Methods in Physics'', Salamanca, Spain, June 29 -- July 4,
1992)
|
[
{
"created": "Thu, 24 Sep 1992 10:27:42 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Kausch",
"H. G.",
""
]
] |
It is argued that chiral algebras of conformal field theory possess a W-algebra structure. A survey of explicitly known W-algebras and their constructions is given. (Talk given at the XIX International Colloquium on ``Group Theoretical Methods in Physics'', Salamanca, Spain, June 29 -- July 4, 1992)
| 7.308644
| 4.40333
| 6.059078
| 4.955601
| 5.082722
| 5.647754
| 5.692497
| 4.905882
| 4.839469
| 6.020065
| 4.906797
| 5.314246
| 5.799217
| 5.392251
| 5.567405
| 5.504267
| 5.578845
| 5.480569
| 5.440064
| 5.618026
| 5.099574
|
1604.00595
|
Vardarajan Suneeta
|
Amruta Sadhu, Vardarajan Suneeta
|
Non-spherically symmetric black string perturbations in the large D
limit
|
44 pages, two references added, version accepted for publication in
Physical Review D
|
Phys. Rev. D 93, 124002 (2016)
|
10.1103/PhysRevD.93.124002
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider non-spherically symmetric perturbations of the uncharged black
string/flat black brane in the large dimension (D) limit of general relativity.
We express the perturbations in a simplified form using variables introduced by
Ishibashi and Kodama. We apply the large D limit to the equations, and show
that this leads to decoupling of the equations in the near-horizon and
asymptotic regions. It also enables use of matched asymptotic expansions to
obtain approximate analytical solutions and to analyze stability of the black
string/brane. For a large class of non-spherically symmetric perturbations, we
prove that there are no instabilities in the large D limit. For the rest, we
provide additional matching arguments that indicate that the black string/brane
is stable. In the \emph{static} limit, we show that for \emph{all}
non-spherically symmetric perturbations, there is no instability. This is proof
that the Gross-Perry-Yaffe mode for semiclassical black hole perturbations is
the unique unstable mode even in the large D limit. This work is also a direct
analytical indication that the only instability of the black string is the
Gregory-Laflamme instability.
|
[
{
"created": "Sun, 3 Apr 2016 05:37:20 GMT",
"version": "v1"
},
{
"created": "Fri, 20 May 2016 06:08:46 GMT",
"version": "v2"
}
] |
2016-06-08
|
[
[
"Sadhu",
"Amruta",
""
],
[
"Suneeta",
"Vardarajan",
""
]
] |
We consider non-spherically symmetric perturbations of the uncharged black string/flat black brane in the large dimension (D) limit of general relativity. We express the perturbations in a simplified form using variables introduced by Ishibashi and Kodama. We apply the large D limit to the equations, and show that this leads to decoupling of the equations in the near-horizon and asymptotic regions. It also enables use of matched asymptotic expansions to obtain approximate analytical solutions and to analyze stability of the black string/brane. For a large class of non-spherically symmetric perturbations, we prove that there are no instabilities in the large D limit. For the rest, we provide additional matching arguments that indicate that the black string/brane is stable. In the \emph{static} limit, we show that for \emph{all} non-spherically symmetric perturbations, there is no instability. This is proof that the Gross-Perry-Yaffe mode for semiclassical black hole perturbations is the unique unstable mode even in the large D limit. This work is also a direct analytical indication that the only instability of the black string is the Gregory-Laflamme instability.
| 6.779303
| 6.968062
| 6.851837
| 6.413714
| 6.132904
| 6.471832
| 6.777581
| 6.579628
| 6.84125
| 6.679933
| 6.564365
| 6.597925
| 6.377257
| 6.555778
| 6.584236
| 6.387923
| 6.520898
| 6.500707
| 6.687558
| 6.394289
| 6.641805
|
1005.1353
|
Eyal Gruss
|
Eyal Gruss
|
Black Holes in Ho\v{r}ava Gravity with Higher Derivative Magnetic Terms
|
17 pages. v2: Up to date with published version; some minor remarks
and more references
|
Class.Quant.Grav.28:085007,2011
|
10.1088/0264-9381/28/8/085007
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider Horava gravity coupled to Maxwell and higher derivative magnetic
terms. We construct static spherically symmetric black hole solutions in the
low-energy approximation. We calculate the horizon locations and temperatures
in the near-extremal limit, for asymptotically flat and (anti-)de Sitter
spaces. We also construct a detailed balanced version of the theory, for which
we find projectable and non-projectable, non-perturbative solutions.
|
[
{
"created": "Sun, 9 May 2010 00:31:34 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Jun 2011 13:51:13 GMT",
"version": "v2"
}
] |
2011-06-08
|
[
[
"Gruss",
"Eyal",
""
]
] |
We consider Horava gravity coupled to Maxwell and higher derivative magnetic terms. We construct static spherically symmetric black hole solutions in the low-energy approximation. We calculate the horizon locations and temperatures in the near-extremal limit, for asymptotically flat and (anti-)de Sitter spaces. We also construct a detailed balanced version of the theory, for which we find projectable and non-projectable, non-perturbative solutions.
| 11.356622
| 11.393318
| 9.660063
| 10.134974
| 10.275522
| 10.452953
| 10.964173
| 9.980271
| 10.170798
| 10.720097
| 10.226845
| 10.710437
| 10.615766
| 10.288646
| 10.373623
| 10.937833
| 10.904962
| 10.268106
| 10.353093
| 10.685286
| 10.334298
|
hep-th/0208106
|
Klaus Rothe
|
Heinz J. Rothe and Klaus D. Rothe
|
Lagrange versus Symplectic Algorithm for Constrained Systems
|
20 pages, LaTeX
|
J.Phys.A36:1671-1682,2003
|
10.1088/0305-4470/36/6/311
|
HD-THEP-02-24
|
hep-th
| null |
The systematization of the purely Lagrangean approach to constrained systems
in the form of an algorithm involves the iterative construction of a
generalized Hessian matrix W taking a rectangular form. This Hessian will
exhibit as many left zero-modes as there are Lagrangean constraints in the
theory. We apply this approach to a general Lagrangean in the first order
formulation and show how the seemingly overdetermined set of equations is
solved for the velocities by suitably extending W to a rectangular matrix. As a
byproduct we thereby demonstrate the equivalence of the Lagrangean approach to
the traditional Dirac-approach. By making use of this equivalence we show that
a recently proposed symplectic algorithm does not necessarily reproduce the
full constraint structure of the traditional Dirac algorithm.
|
[
{
"created": "Thu, 15 Aug 2002 10:43:19 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Rothe",
"Heinz J.",
""
],
[
"Rothe",
"Klaus D.",
""
]
] |
The systematization of the purely Lagrangean approach to constrained systems in the form of an algorithm involves the iterative construction of a generalized Hessian matrix W taking a rectangular form. This Hessian will exhibit as many left zero-modes as there are Lagrangean constraints in the theory. We apply this approach to a general Lagrangean in the first order formulation and show how the seemingly overdetermined set of equations is solved for the velocities by suitably extending W to a rectangular matrix. As a byproduct we thereby demonstrate the equivalence of the Lagrangean approach to the traditional Dirac-approach. By making use of this equivalence we show that a recently proposed symplectic algorithm does not necessarily reproduce the full constraint structure of the traditional Dirac algorithm.
| 13.36021
| 14.36148
| 13.977642
| 13.135251
| 14.014315
| 14.207361
| 12.704278
| 13.56535
| 13.458303
| 14.219825
| 12.711771
| 12.748827
| 12.331715
| 12.353959
| 12.449547
| 12.547452
| 12.690422
| 12.365858
| 12.682244
| 12.503088
| 12.604466
|
1611.00362
|
James Bonifacio
|
James Bonifacio, Kurt Hinterbichler
|
Kaluza-Klein Reduction of Massive and Partially Massless Spin-2 Fields
|
32 pages, 1 figure. v2 fixed typos
|
Phys. Rev. D 95, 024023 (2017)
|
10.1103/PhysRevD.95.024023
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We describe the dimensional reduction of massive and partially massless
spin-2 fields on general Einstein direct product manifolds. As with massless
fields, the higher-dimensional gauge symmetry of the partially massless field
displays itself upon dimensional reduction as a tower of St\"uckelberg
symmetries for the massive modes of the tower. Unlike the massless case, the
zero mode of the gauge symmetry does not display itself as a lower-dimensional
non-Stuckelberg gauge symmetry enforcing partial masslessness on the zero mode.
Partial masslessness is destroyed by the dimensional reduction and the zero
mode gauge symmetry instead serves to eliminate the radion. In addition, we
study the fully non-linear dimensional reduction of dRGT massive gravity on a
circle, which results in a massive scalar-tensor-vector theory which we expect
to be ghost-free, and whose scalar-tensor sector is a special case of
mass-varying massive gravity.
|
[
{
"created": "Tue, 1 Nov 2016 20:00:00 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Sep 2019 20:45:18 GMT",
"version": "v2"
}
] |
2019-09-06
|
[
[
"Bonifacio",
"James",
""
],
[
"Hinterbichler",
"Kurt",
""
]
] |
We describe the dimensional reduction of massive and partially massless spin-2 fields on general Einstein direct product manifolds. As with massless fields, the higher-dimensional gauge symmetry of the partially massless field displays itself upon dimensional reduction as a tower of St\"uckelberg symmetries for the massive modes of the tower. Unlike the massless case, the zero mode of the gauge symmetry does not display itself as a lower-dimensional non-Stuckelberg gauge symmetry enforcing partial masslessness on the zero mode. Partial masslessness is destroyed by the dimensional reduction and the zero mode gauge symmetry instead serves to eliminate the radion. In addition, we study the fully non-linear dimensional reduction of dRGT massive gravity on a circle, which results in a massive scalar-tensor-vector theory which we expect to be ghost-free, and whose scalar-tensor sector is a special case of mass-varying massive gravity.
| 8.776453
| 8.127934
| 9.324629
| 7.876026
| 8.298623
| 9.065607
| 8.220114
| 8.407781
| 8.450204
| 10.326966
| 8.198399
| 8.011251
| 8.487058
| 8.015067
| 8.142955
| 7.932193
| 8.086438
| 8.312195
| 8.339197
| 8.942425
| 7.950882
|
hep-th/0205228
|
Jose Francisco Gomes
|
J.F. Gomes, E. P. Gueuvoghlanian, G.M. Sotkov and A.H. Zimerman
|
Soliton Spectrum of Integrable Models with Local Symmetries
|
44 pages, Latex, 1 eps fig, few misprints corrected. to appear in
JHEP
|
JHEP 0207:001,2002
|
10.1088/1126-6708/2002/07/001
| null |
hep-th nlin.SI
| null |
The soliton spectrum (massive and massless) of a family of integrable models
with local U(1) and U(1)\otimes U(1) symmetries is studied. These models
represent relevant integrable deformations of SL(2,R) \otimes U(1)^{n-1} - WZW
and SL(2,R) \otimes SL(2,R)\otimes U(1)^{n-2} - WZW models. Their massless
solitons appears as specific topological solutions of the U(1) (or U(1)\otimes
U(1)) - CFTs. The nonconformal analog of the GKO-coset formula is derived and
used in the construction of the composite massive solitons of the ungauged
integrable models.
|
[
{
"created": "Wed, 22 May 2002 18:34:38 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Jul 2002 21:14:21 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Gomes",
"J. F.",
""
],
[
"Gueuvoghlanian",
"E. P.",
""
],
[
"Sotkov",
"G. M.",
""
],
[
"Zimerman",
"A. H.",
""
]
] |
The soliton spectrum (massive and massless) of a family of integrable models with local U(1) and U(1)\otimes U(1) symmetries is studied. These models represent relevant integrable deformations of SL(2,R) \otimes U(1)^{n-1} - WZW and SL(2,R) \otimes SL(2,R)\otimes U(1)^{n-2} - WZW models. Their massless solitons appears as specific topological solutions of the U(1) (or U(1)\otimes U(1)) - CFTs. The nonconformal analog of the GKO-coset formula is derived and used in the construction of the composite massive solitons of the ungauged integrable models.
| 6.028646
| 5.955112
| 6.356658
| 5.922277
| 6.149792
| 6.072345
| 6.025483
| 5.754622
| 5.481393
| 6.346728
| 5.706701
| 6.099119
| 6.075748
| 6.017668
| 5.805847
| 5.812625
| 5.884167
| 5.825747
| 5.769212
| 6.013607
| 5.829291
|
2305.07480
|
David Andriot
|
David Andriot
|
Bumping into the species scale with the scalar potential
|
v2: minor modifications
| null | null | null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
As a quantum gravity cut-off, the species scale $\Lambda_s$ gets naturally
compared to the energy scale of a scalar potential $V$ in an EFT. In this note,
we compare the species scale, its rate $|\nabla \Lambda_s|/\Lambda_s$ and their
field dependence, to those of a scalar potential. To that end, we first
identify a string compactification leading to a scalar potential with the same
properties as the species scale, namely, being positive, starting at a maximum
in the bulk of field space and going asymptotically to zero. The trajectory
followed in our 14-fields scalar potential is the steepest descent. Evaluating
the rate $|\nabla V|/V$ along this path, we then observe a local maximum, or
bump, a feature noticed as well for the species scale. We investigate the
origin of this bump for the scalar potential, and compare it to that of the
species scale.
|
[
{
"created": "Fri, 12 May 2023 13:49:44 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Jun 2023 12:52:25 GMT",
"version": "v2"
}
] |
2023-06-12
|
[
[
"Andriot",
"David",
""
]
] |
As a quantum gravity cut-off, the species scale $\Lambda_s$ gets naturally compared to the energy scale of a scalar potential $V$ in an EFT. In this note, we compare the species scale, its rate $|\nabla \Lambda_s|/\Lambda_s$ and their field dependence, to those of a scalar potential. To that end, we first identify a string compactification leading to a scalar potential with the same properties as the species scale, namely, being positive, starting at a maximum in the bulk of field space and going asymptotically to zero. The trajectory followed in our 14-fields scalar potential is the steepest descent. Evaluating the rate $|\nabla V|/V$ along this path, we then observe a local maximum, or bump, a feature noticed as well for the species scale. We investigate the origin of this bump for the scalar potential, and compare it to that of the species scale.
| 11.822709
| 10.566201
| 11.970719
| 10.667125
| 10.762452
| 10.332458
| 10.465513
| 9.794829
| 10.732333
| 12.78148
| 10.419236
| 10.437161
| 10.733024
| 10.636421
| 10.666092
| 10.385273
| 10.262373
| 10.422368
| 10.213311
| 11.266579
| 10.549489
|
2001.08261
|
Stanislaw D. Glazek
|
Stanislaw D. Glazek
|
Computation of effective front form Hamiltonians for massive Abelian
gauge theory
|
32 pages, 7 figures
|
Phys. Rev. D 101, 034005 (2020)
|
10.1103/PhysRevD.101.034005
| null |
hep-th nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Renormalization group procedure for effective particles (RGPEP) is applied in
terms of a second-order perturbative computation to an Abelian gauge theory, as
an example of application worth studying on the way toward derivation of a
dynamical connection between the spectroscopy of bound states and their
parton-model picture in the front form of Hamiltonian dynamics. In addition to
the ultraviolet transverse divergences that are handled using the RGPEP in
previously known ways, the small-x divergences are handled by introducing a
mass parameter and a third polarization state for gauge bosons using a
mechanism analogous to spontaneous breaking of global gauge symmetry, in a
special limit that simplifies the theory to Soper's front form of massive QED.
The resulting orders of magnitude of scales involved in the dynamics of
effective constituents or partons in the simplified theory are identified for
the fermion and boson mass counter terms, effective masses and
self-interactions, as well as for the Coulomb-like effective interactions in
bound states of fermions. Computations in orders higher than second are
mentioned but not described in this article.
|
[
{
"created": "Wed, 22 Jan 2020 20:21:33 GMT",
"version": "v1"
}
] |
2020-02-12
|
[
[
"Glazek",
"Stanislaw D.",
""
]
] |
Renormalization group procedure for effective particles (RGPEP) is applied in terms of a second-order perturbative computation to an Abelian gauge theory, as an example of application worth studying on the way toward derivation of a dynamical connection between the spectroscopy of bound states and their parton-model picture in the front form of Hamiltonian dynamics. In addition to the ultraviolet transverse divergences that are handled using the RGPEP in previously known ways, the small-x divergences are handled by introducing a mass parameter and a third polarization state for gauge bosons using a mechanism analogous to spontaneous breaking of global gauge symmetry, in a special limit that simplifies the theory to Soper's front form of massive QED. The resulting orders of magnitude of scales involved in the dynamics of effective constituents or partons in the simplified theory are identified for the fermion and boson mass counter terms, effective masses and self-interactions, as well as for the Coulomb-like effective interactions in bound states of fermions. Computations in orders higher than second are mentioned but not described in this article.
| 16.920708
| 17.96526
| 17.180649
| 16.379187
| 16.18273
| 16.746542
| 17.506466
| 15.644579
| 15.97374
| 18.354424
| 16.483574
| 16.770054
| 16.201927
| 16.570044
| 16.62875
| 16.995502
| 16.547539
| 16.911476
| 16.22603
| 16.496119
| 16.733826
|
hep-th/9510138
|
Mans Henningson
|
M. Henningson
|
Discontinuous BPS spectra in $N = 2$ gauge theory
|
10 pages, uses harvmac
|
Nucl.Phys. B461 (1996) 101-108
|
10.1016/0550-3213(96)00009-0
|
YCTP-P14-95
|
hep-th
| null |
We consider the spectrum of BPS saturated states in $N = 2$ gauge theories in
four dimensions. This spectrum may be discontinuous across real codimension one
submanifolds of marginal stability in the moduli space of vacua. An example,
which can be treated with semiclassical methods in the weak coupling limit, is
the decay of quark-soliton bound states. For a quark and a soliton of
electric-magnetic charge vectors $Q$ and $Q^\prime$ respectively, we find that
as the manifold of marginal stability is crossed, the number of soliton states
changes by a factor of $2^{Q \cdot Q^\prime}$, where the dot denotes the
symplectic product.
|
[
{
"created": "Wed, 18 Oct 1995 21:57:07 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Henningson",
"M.",
""
]
] |
We consider the spectrum of BPS saturated states in $N = 2$ gauge theories in four dimensions. This spectrum may be discontinuous across real codimension one submanifolds of marginal stability in the moduli space of vacua. An example, which can be treated with semiclassical methods in the weak coupling limit, is the decay of quark-soliton bound states. For a quark and a soliton of electric-magnetic charge vectors $Q$ and $Q^\prime$ respectively, we find that as the manifold of marginal stability is crossed, the number of soliton states changes by a factor of $2^{Q \cdot Q^\prime}$, where the dot denotes the symplectic product.
| 7.240388
| 7.144535
| 8.226341
| 6.506177
| 7.408088
| 7.265549
| 6.940314
| 6.663088
| 6.757698
| 7.801937
| 6.747365
| 6.790187
| 7.041347
| 6.558962
| 6.841386
| 6.707612
| 6.736329
| 6.961161
| 6.689066
| 7.149005
| 6.676818
|
2103.15669
|
Chris Halcrow
|
Chris Halcrow and Thomas Winyard
|
A consistent two-skyrmion configuration space from instantons
|
21 pages, 14 figures
| null |
10.1007/JHEP12(2021)039
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
To study a nuclear system in the Skyrme model one must first construct a
space of low energy Skyrme configurations. However, there is no mathematical
definition of this configuration space and there is not even consensus on its
fundamental properties, such as its dimension. Here, we propose that the full
instanton moduli space can be used to construct a consistent skyrmion
configuration space, provided that the Skyrme model is coupled to a meson. Each
instanton generates a unique skyrmion and we reinterpret the $8N$ instanton
moduli as physical degrees of freedom in the Skyrme model. In this picture a
single skyrmion has six zero modes and two non-zero modes: one controls the
overall scale of the solution and one the energy of the meson field. We study
the $N=1$ and $N=2$ systems in detail. Two interacting skyrmions can excite the
meson field through scattering, suggesting that the meson and Skyrme fields are
intrinsically linked. Our proposal is the first consistent manifold description
of the two-skyrmion configuration space. The method can also be generalised to
higher $N$ and thus provides a general framework to study any skyrmion
configuration space.
|
[
{
"created": "Mon, 29 Mar 2021 14:46:47 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Jun 2021 16:51:31 GMT",
"version": "v2"
}
] |
2021-12-22
|
[
[
"Halcrow",
"Chris",
""
],
[
"Winyard",
"Thomas",
""
]
] |
To study a nuclear system in the Skyrme model one must first construct a space of low energy Skyrme configurations. However, there is no mathematical definition of this configuration space and there is not even consensus on its fundamental properties, such as its dimension. Here, we propose that the full instanton moduli space can be used to construct a consistent skyrmion configuration space, provided that the Skyrme model is coupled to a meson. Each instanton generates a unique skyrmion and we reinterpret the $8N$ instanton moduli as physical degrees of freedom in the Skyrme model. In this picture a single skyrmion has six zero modes and two non-zero modes: one controls the overall scale of the solution and one the energy of the meson field. We study the $N=1$ and $N=2$ systems in detail. Two interacting skyrmions can excite the meson field through scattering, suggesting that the meson and Skyrme fields are intrinsically linked. Our proposal is the first consistent manifold description of the two-skyrmion configuration space. The method can also be generalised to higher $N$ and thus provides a general framework to study any skyrmion configuration space.
| 7.89117
| 8.555823
| 7.708605
| 8.132711
| 8.397858
| 8.251002
| 8.360179
| 7.99243
| 7.662307
| 8.334616
| 7.733643
| 7.495192
| 7.709956
| 7.48851
| 7.657591
| 7.767478
| 7.708239
| 7.708156
| 7.653039
| 7.702377
| 7.453821
|
1606.07416
|
Guilherme Martins Alves De Almeida
|
Willien O. Santos, Guilherme M. A. Almeida, Andre M. C. Souza
|
Noncommutative Brownian motion
|
9 pages
|
Int. J. Mod. Phys. A 32, 1750146 (2017)
|
10.1142/S0217751X17501469
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the classical Brownian motion of a particle in a
two-dimensional noncommutative (NC) space. Using the standard NC algebra
embodied by the sympletic Weyl-Moyal formalism we find that noncommutativity
induces a non-vanishing correlation between both coordinates at different
times. The effect stands out as a signature of spatial noncommutativity and
thus could offer a way to experimentally detect the phenomena. We further
discuss some limiting scenarios and the trade-off between the scale imposed by
the NC structure and the parameters of the Brownian motion itself.
|
[
{
"created": "Thu, 23 Jun 2016 19:34:23 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Jun 2017 17:14:38 GMT",
"version": "v2"
}
] |
2017-09-12
|
[
[
"Santos",
"Willien O.",
""
],
[
"Almeida",
"Guilherme M. A.",
""
],
[
"Souza",
"Andre M. C.",
""
]
] |
We investigate the classical Brownian motion of a particle in a two-dimensional noncommutative (NC) space. Using the standard NC algebra embodied by the sympletic Weyl-Moyal formalism we find that noncommutativity induces a non-vanishing correlation between both coordinates at different times. The effect stands out as a signature of spatial noncommutativity and thus could offer a way to experimentally detect the phenomena. We further discuss some limiting scenarios and the trade-off between the scale imposed by the NC structure and the parameters of the Brownian motion itself.
| 11.86883
| 11.645044
| 12.053133
| 10.300567
| 11.414109
| 11.626361
| 11.031825
| 10.777111
| 11.230513
| 13.004824
| 10.656829
| 11.211719
| 11.77826
| 11.159541
| 11.035911
| 11.104504
| 11.238797
| 10.749389
| 11.060801
| 11.400578
| 10.744144
|
hep-th/9510072
|
Sorin Aleksandr
|
S. Krivonos and A. Sorin
|
Conformal Linearization Versus Nonlinearity of $W$-Algebras
|
23 pages, LaTeX, report-no added, some misprints corrected
| null | null |
JINR E2-95-427
|
hep-th
| null |
We review the new approach to the theory of nonlinear $W$-algebras which is
developed recently and called {\it conformal linearization}. In this approach
$W$-algebras are embedded as subalgebras into some {\it linear conformal}
algebras with a finite set of currents and most of their properties could be
understood in a much simpler way by studing their linear counterpart. The
general construction is illustrated by the examples of $u(N)$-superconformal,
$W(sl(N),sl(2))$, $W(sl(N),sl(N))$ as well as $W(sl(N),sl(3))$ algebras.
Applications to the construction of realizations (included modulo null fields
realizations) as well as central charge spectrum for minimal models of
nonlinear algebras are discussed. (To appear in ``Geometry and Integrable
Models'', Eds.: P.N.Pyatov & S.N.Solodukhin, World Scientific Publ. Co. (in
press)).
|
[
{
"created": "Wed, 11 Oct 1995 15:47:22 GMT",
"version": "v1"
},
{
"created": "Sun, 15 Oct 1995 11:08:19 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Krivonos",
"S.",
""
],
[
"Sorin",
"A.",
""
]
] |
We review the new approach to the theory of nonlinear $W$-algebras which is developed recently and called {\it conformal linearization}. In this approach $W$-algebras are embedded as subalgebras into some {\it linear conformal} algebras with a finite set of currents and most of their properties could be understood in a much simpler way by studing their linear counterpart. The general construction is illustrated by the examples of $u(N)$-superconformal, $W(sl(N),sl(2))$, $W(sl(N),sl(N))$ as well as $W(sl(N),sl(3))$ algebras. Applications to the construction of realizations (included modulo null fields realizations) as well as central charge spectrum for minimal models of nonlinear algebras are discussed. (To appear in ``Geometry and Integrable Models'', Eds.: P.N.Pyatov & S.N.Solodukhin, World Scientific Publ. Co. (in press)).
| 8.941651
| 10.522578
| 10.046304
| 8.579915
| 8.8801
| 9.252554
| 9.827531
| 9.092799
| 8.968964
| 11.068527
| 8.595408
| 8.550526
| 9.357885
| 8.338143
| 8.641592
| 8.699215
| 8.719263
| 8.327515
| 8.701665
| 10.015724
| 8.249194
|
hep-th/0303194
|
Michael Douglas
|
Michael R. Douglas
|
The statistics of string/M theory vacua
|
harvmac, 72pp (v4: fixed error in discussion of quiver ensembles)
|
JHEP0305:046,2003
|
10.1088/1126-6708/2003/05/046
|
RUNHETC-2003-09
|
hep-th hep-ph
| null |
We discuss systematic approaches to the classification of string/M theory
vacua, and physical questions this might help us resolve. To this end, we
initiate the study of ensembles of effective Lagrangians, which can be used to
precisely study the predictive power of string theory, and in simple examples
can lead to universality results. Using these ideas, we outline an approach to
estimating the number of vacua of string/M theory which can realize the
Standard Model.
|
[
{
"created": "Fri, 21 Mar 2003 19:36:16 GMT",
"version": "v1"
},
{
"created": "Sat, 22 Mar 2003 22:27:23 GMT",
"version": "v2"
},
{
"created": "Tue, 25 Mar 2003 18:02:12 GMT",
"version": "v3"
},
{
"created": "Thu, 24 Apr 2003 16:20:28 GMT",
"version": "v4"
}
] |
2009-11-10
|
[
[
"Douglas",
"Michael R.",
""
]
] |
We discuss systematic approaches to the classification of string/M theory vacua, and physical questions this might help us resolve. To this end, we initiate the study of ensembles of effective Lagrangians, which can be used to precisely study the predictive power of string theory, and in simple examples can lead to universality results. Using these ideas, we outline an approach to estimating the number of vacua of string/M theory which can realize the Standard Model.
| 12.963116
| 11.031502
| 12.783659
| 11.997123
| 11.380577
| 12.086395
| 11.391719
| 11.73049
| 11.250543
| 13.016828
| 12.295291
| 12.267857
| 12.847311
| 12.148335
| 12.068269
| 12.290461
| 12.072318
| 12.664143
| 11.883788
| 12.826875
| 11.78528
|
1610.03539
|
Sergio Gonz\'alez-Mart\'in
|
Enrique Alvarez and Sergio Gonzalez-Martin
|
Weyl Gravity Revisited
|
14 pages
| null |
10.1088/1475-7516/2017/02/011
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The on shell equivalence of first order and second order formalisms for the
Einstein-Hilbert action does not hold for those actions quadratic in curvature.
It would seem that by considering the connection and the metric as independent
dynamical variables, there are no quartic propagators for any dynamical
variable. This suggests that it is possible to get both renormalizability and
unitarity along these lines. We have studied a particular instance of those
theories, namely Weyl gravity. Although the ground state of this system is
difficult to analyze, we have been able to study the physical effects of some
external sources.
|
[
{
"created": "Tue, 11 Oct 2016 21:29:33 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Oct 2016 18:36:55 GMT",
"version": "v2"
}
] |
2017-02-15
|
[
[
"Alvarez",
"Enrique",
""
],
[
"Gonzalez-Martin",
"Sergio",
""
]
] |
The on shell equivalence of first order and second order formalisms for the Einstein-Hilbert action does not hold for those actions quadratic in curvature. It would seem that by considering the connection and the metric as independent dynamical variables, there are no quartic propagators for any dynamical variable. This suggests that it is possible to get both renormalizability and unitarity along these lines. We have studied a particular instance of those theories, namely Weyl gravity. Although the ground state of this system is difficult to analyze, we have been able to study the physical effects of some external sources.
| 12.912805
| 12.732552
| 11.76737
| 11.337655
| 12.097497
| 12.309824
| 12.464967
| 11.592661
| 11.81449
| 13.388628
| 12.471881
| 11.744689
| 12.051038
| 11.678225
| 12.041718
| 12.232648
| 11.794707
| 11.870576
| 11.858426
| 12.084538
| 11.702047
|
1102.2751
|
Koichi Murakami
|
Nobuyuki Ishibashi, Koichi Murakami
|
Light-cone Gauge String Field Theory and Dimensional Regularization
|
10 pages, 5 figures, A contribution to the proceedings of "SFT2010",
held at YITP, Kyoto, Japan, October 18-22, 2010
|
Prog.Theor.Phys.Suppl.188:9-18,2011
|
10.1143/PTPS.188.9
|
UTHEP-621, OIQP-10-11
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review our recent proposals to dimensionally regularize the light-cone
gauge string field theory.
|
[
{
"created": "Mon, 14 Feb 2011 12:51:38 GMT",
"version": "v1"
}
] |
2011-05-27
|
[
[
"Ishibashi",
"Nobuyuki",
""
],
[
"Murakami",
"Koichi",
""
]
] |
We review our recent proposals to dimensionally regularize the light-cone gauge string field theory.
| 27.856491
| 11.376787
| 21.452976
| 12.704335
| 14.655995
| 11.019168
| 10.900779
| 10.096298
| 11.974841
| 18.91963
| 12.475525
| 15.789634
| 17.024994
| 13.414716
| 13.891893
| 15.666145
| 14.096325
| 15.359238
| 13.686749
| 15.968723
| 13.299969
|
1509.00074
|
Don Marolf
|
William Bunting, Zicao Fu, and Donald Marolf
|
A coarse-grained generalized second law for holographic conformal field
theories
|
minor corrections, 18 pages
|
Class. Quant. Grav. 33 (2016), no. 5 055008
|
10.1088/0264-9381/33/5/055008
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the universal sector of a $d$-dimensional large-$N$
strongly-interacting holographic CFT on a black hole spacetime background $B$.
When our CFT$_d$ is coupled to dynamical Einstein-Hilbert gravity with Newton
constant $G_{d}$, the combined system can be shown to satisfy a version of the
thermodynamic Generalized Second Law (GSL) at leading order in $G_{d}$. The
quantity $S_{CFT} + \frac{A(H_{B, \text{perturbed}})}{4G_{d}}$ is
non-decreasing, where $A(H_{B, \text{perturbed}})$ is the (time-dependent) area
of the new event horizon in the coupled theory. Our $S_{CFT}$ is the notion of
(coarse-grained) CFT entropy outside the black hole given by causal holographic
information -- a quantity in turn defined in the AdS$_{d+1}$ dual by the
renormalized area $A_{ren}(H_{\rm bulk})$ of a corresponding bulk causal
horizon. A corollary is that the fine-grained GSL must hold for finite
processes taken as a whole, though local decreases of the fine-grained
generalized entropy are not obviously forbidden. Another corollary, given by
setting $G_{d} = 0$, states that no finite process taken as a whole can
increase the renormalized free energy $F = E_{out} - T S_{CFT} - \Omega J -
\Phi Q$, with $T, \Omega, \Phi$ constants set by ${H}_B$. This latter corollary
constitutes a 2nd law for appropriate non-compact AdS event horizons.
|
[
{
"created": "Mon, 31 Aug 2015 21:10:51 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Nov 2015 21:46:24 GMT",
"version": "v2"
}
] |
2016-06-15
|
[
[
"Bunting",
"William",
""
],
[
"Fu",
"Zicao",
""
],
[
"Marolf",
"Donald",
""
]
] |
We consider the universal sector of a $d$-dimensional large-$N$ strongly-interacting holographic CFT on a black hole spacetime background $B$. When our CFT$_d$ is coupled to dynamical Einstein-Hilbert gravity with Newton constant $G_{d}$, the combined system can be shown to satisfy a version of the thermodynamic Generalized Second Law (GSL) at leading order in $G_{d}$. The quantity $S_{CFT} + \frac{A(H_{B, \text{perturbed}})}{4G_{d}}$ is non-decreasing, where $A(H_{B, \text{perturbed}})$ is the (time-dependent) area of the new event horizon in the coupled theory. Our $S_{CFT}$ is the notion of (coarse-grained) CFT entropy outside the black hole given by causal holographic information -- a quantity in turn defined in the AdS$_{d+1}$ dual by the renormalized area $A_{ren}(H_{\rm bulk})$ of a corresponding bulk causal horizon. A corollary is that the fine-grained GSL must hold for finite processes taken as a whole, though local decreases of the fine-grained generalized entropy are not obviously forbidden. Another corollary, given by setting $G_{d} = 0$, states that no finite process taken as a whole can increase the renormalized free energy $F = E_{out} - T S_{CFT} - \Omega J - \Phi Q$, with $T, \Omega, \Phi$ constants set by ${H}_B$. This latter corollary constitutes a 2nd law for appropriate non-compact AdS event horizons.
| 7.413255
| 8.325426
| 9.013004
| 7.626077
| 8.42786
| 8.434182
| 8.381114
| 8.456214
| 7.760239
| 9.812119
| 8.040112
| 7.806496
| 7.82931
| 7.71467
| 7.83949
| 7.680793
| 7.755334
| 7.549891
| 7.673766
| 7.699256
| 7.471217
|
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