id
stringlengths 9
14
| submitter
stringlengths 1
56
⌀ | authors
stringlengths 5
835
| title
stringlengths 5
209
| comments
stringlengths 2
590
⌀ | journal-ref
stringlengths 11
239
⌀ | doi
stringlengths 14
94
⌀ | report-no
stringlengths 4
104
⌀ | categories
stringclasses 610
values | license
stringclasses 9
values | orig_abstract
stringlengths 22
2.01k
| versions
listlengths 1
16
| update_date
stringdate 2007-05-23 00:00:00
2024-08-16 00:00:00
| authors_parsed
listlengths 1
32
| abstract
stringlengths 19
2.01k
| perplexity_Llama-3.1-8B
float64 2.29
655
| perplexity_s1-L-3.1-8B-base
float64 2.77
362
| perplexity_s2-L-3.1-8B-base
float64 3.14
496
| perplexity_s3-L-3.1-8B-base_v3
float64 2.9
431
| perplexity_s4-L-3.1-8B-base
float64 2.88
422
| perplexity_s5-L-3.1-8B-base
float64 2.95
414
| perplexity_s6-L-3.1-8B-base
float64 2.99
340
| perplexity_s7-L-3.1-8B-base
float64 2.91
467
| perplexity_s8-L-3.1-8B-base
float64 2.89
220
| perplexity_s9-L-3.1-8B-base
float64 3.21
1.68k
| perplexity_s10-L-3.1-8B-base
float64 2.98
600
| perplexity_s1-L-3.1-8B-qkv_v2
float64 2.92
729
| perplexity_s2-L-3.1-8B-qkv
float64 3.05
621
| perplexity_s3-L-3.1-8B-qkv
float64 2.96
631
| perplexity_s4-L-3.1-8B-qkv
float64 2.86
570
| perplexity_s5-L-3.1-8B-qkv
float64 2.93
558
| perplexity_s6-L-3.1-8B-qkv
float64 2.96
669
| perplexity_s7-L-3.1-8B-qkv2
float64 2.95
682
| perplexity_s8-L-3.1-8B-qkv
float64 2.92
502
| perplexity_s9-L-3.1-8B-qkv
float64 3.06
549
| perplexity_s10-L-3.1-8B-qkv
float64 2.95
795
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1903.00773
|
Andrei Mironov
|
A. Mironov and A. Morozov
|
Kerov functions for composite representations and Macdonald ideal
|
26 pages
|
Nuclear Physics B 944 (2019) 114641
|
10.1016/j.nuclphysb.2019.114641
|
FIAN/TD-01/19; IITP/TH-03/19; ITEP/TH-03/19
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Kerov functions provide an infinite-parametric deformation of the set of
Schur functions, which is a far-going generalization of the 2-parametric
Macdonald deformation. In this paper, we concentrate on a particular subject:
on Kerov functions labeled by the Young diagrams associated with the conjugate
and, more generally, composite representations. Our description highlights
peculiarities of the Macdonald locus (ideal) in the space of the Kerov
parameters, where some formulas and relations get drastically simplified.
However, even in this case, they substantially deviate from the Schur case,
which illustrates the problems encountered in the theory of link
hyperpolynomials. An important additional feature of the Macdonald case is
uniformization, a possibility of capturing the dependence on $N$ for symmetric
polynomials of $N$ variables into a single variable $A=t^N$, while in the
generic Kerov case the $N$-dependence looks considerably more involved.
|
[
{
"created": "Sat, 2 Mar 2019 21:51:20 GMT",
"version": "v1"
}
] |
2019-05-28
|
[
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
]
] |
Kerov functions provide an infinite-parametric deformation of the set of Schur functions, which is a far-going generalization of the 2-parametric Macdonald deformation. In this paper, we concentrate on a particular subject: on Kerov functions labeled by the Young diagrams associated with the conjugate and, more generally, composite representations. Our description highlights peculiarities of the Macdonald locus (ideal) in the space of the Kerov parameters, where some formulas and relations get drastically simplified. However, even in this case, they substantially deviate from the Schur case, which illustrates the problems encountered in the theory of link hyperpolynomials. An important additional feature of the Macdonald case is uniformization, a possibility of capturing the dependence on $N$ for symmetric polynomials of $N$ variables into a single variable $A=t^N$, while in the generic Kerov case the $N$-dependence looks considerably more involved.
| 14.667566
| 14.79242
| 16.390703
| 13.46725
| 14.231167
| 14.231604
| 13.569331
| 13.78728
| 14.09164
| 15.977947
| 12.502025
| 13.025541
| 14.187996
| 13.650895
| 13.327009
| 12.556511
| 12.830655
| 13.05288
| 13.218071
| 14.301169
| 13.52079
|
2101.09820
|
Tim Jones
|
I. Jack and D.R.T Jones
|
Anomalous dimensions at large charge in d=4 O(N) theory
|
16 pages. 6 Figures. Typos corrected; references and an
acknowledgement added. Some minor errors corrected in a figure and equations
|
Phys. Rev. D 103, 085013 (2021)
|
10.1103/PhysRevD.103.085013
|
LTH 1252
|
hep-th hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
Recently it was shown that the scaling dimension of the operator $\phi^n$ in
$\lambda(\phi^*\phi)^2$ theory may be computed semi-classically at the
Wilson-Fisher fixed point in $d=4-\epsilon$, for generic values of $\lambda n$
and this was verified to two loop order in perturbation theory at leading and
sub-leading $n$. In subsequent work, this result was generalised to operators
of fixed charge $Q$ in $O(N)$ theory and verified up to three loops in
perturbation theory at leading and sub-leading order. Here we extend this
verification to four loops in $O(N)$ theory, once again at leading and
sub-leading order. We also investigate the strong-coupling regime.
|
[
{
"created": "Sun, 24 Jan 2021 22:59:09 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Jan 2021 16:06:10 GMT",
"version": "v2"
},
{
"created": "Tue, 23 Feb 2021 17:10:44 GMT",
"version": "v3"
},
{
"created": "Sat, 24 Apr 2021 17:35:29 GMT",
"version": "v4"
}
] |
2021-05-05
|
[
[
"Jack",
"I.",
""
],
[
"Jones",
"D. R. T",
""
]
] |
Recently it was shown that the scaling dimension of the operator $\phi^n$ in $\lambda(\phi^*\phi)^2$ theory may be computed semi-classically at the Wilson-Fisher fixed point in $d=4-\epsilon$, for generic values of $\lambda n$ and this was verified to two loop order in perturbation theory at leading and sub-leading $n$. In subsequent work, this result was generalised to operators of fixed charge $Q$ in $O(N)$ theory and verified up to three loops in perturbation theory at leading and sub-leading order. Here we extend this verification to four loops in $O(N)$ theory, once again at leading and sub-leading order. We also investigate the strong-coupling regime.
| 7.677735
| 5.667058
| 7.538445
| 5.749609
| 4.870434
| 4.971314
| 5.025402
| 5.307929
| 5.764396
| 7.564371
| 5.903811
| 6.473771
| 6.769888
| 6.817988
| 6.295116
| 6.196761
| 6.210903
| 6.585371
| 6.371402
| 7.12077
| 6.311256
|
2104.12979
|
Hernan Gonzalez
|
Hern\'an A. Gonz\'alez and Francisco Rojas
|
The structure of IR divergences in celestial gluon amplitudes
|
28 pages, no figures (v2: minor corrections, references added)
| null |
10.1007/JHEP06(2021)171
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
The all-loop resummation of SU$(N)$ gauge theory amplitudes is known to
factorize into an IR-divergent (soft and collinear) factor and a finite (hard)
piece. The divergent factor is universal, whereas the hard function is a
process-dependent quantity. We prove that this factorization persists for the
corresponding celestial amplitudes. Moreover, the soft/collinear factor becomes
a scalar correlator of the product of renormalized Wilson lines defined in
terms of celestial data. Their effect on the hard amplitude is a shift in the
scaling dimensions by an infinite amount, proportional to the cusp anomalous
dimension. This leads us to conclude that the celestial-IR-safe gluon amplitude
corresponds to a expectation value of operators dressed with Wilson line
primaries. These results hold for finite $N$. In the large $N$ limit, we show
that the soft/collinear correlator can be described in terms of vertex
operators in a Coulomb gas of colored scalar primaries with nearest neighbor
interactions. In the particular cases of four and five gluons in planar
$\mathcal{N}=4$ SYM theory, where the hard factor is known to exponentiate, we
establish that the Mellin transform converges in the UV thanks to the fact that
the cusp anomalous dimension is a positive quantity. In other words, the very
existence of the full celestial amplitude is owed to the positivity of the cusp
anomalous dimension.
|
[
{
"created": "Tue, 27 Apr 2021 05:01:28 GMT",
"version": "v1"
},
{
"created": "Sun, 9 May 2021 17:45:44 GMT",
"version": "v2"
}
] |
2021-07-14
|
[
[
"González",
"Hernán A.",
""
],
[
"Rojas",
"Francisco",
""
]
] |
The all-loop resummation of SU$(N)$ gauge theory amplitudes is known to factorize into an IR-divergent (soft and collinear) factor and a finite (hard) piece. The divergent factor is universal, whereas the hard function is a process-dependent quantity. We prove that this factorization persists for the corresponding celestial amplitudes. Moreover, the soft/collinear factor becomes a scalar correlator of the product of renormalized Wilson lines defined in terms of celestial data. Their effect on the hard amplitude is a shift in the scaling dimensions by an infinite amount, proportional to the cusp anomalous dimension. This leads us to conclude that the celestial-IR-safe gluon amplitude corresponds to a expectation value of operators dressed with Wilson line primaries. These results hold for finite $N$. In the large $N$ limit, we show that the soft/collinear correlator can be described in terms of vertex operators in a Coulomb gas of colored scalar primaries with nearest neighbor interactions. In the particular cases of four and five gluons in planar $\mathcal{N}=4$ SYM theory, where the hard factor is known to exponentiate, we establish that the Mellin transform converges in the UV thanks to the fact that the cusp anomalous dimension is a positive quantity. In other words, the very existence of the full celestial amplitude is owed to the positivity of the cusp anomalous dimension.
| 5.37423
| 7.949524
| 7.808577
| 7.476414
| 7.921298
| 7.380638
| 7.787557
| 7.704199
| 7.115596
| 8.123426
| 7.289584
| 6.921662
| 7.010939
| 6.89313
| 7.070285
| 6.786493
| 6.914773
| 6.829754
| 6.882676
| 6.811864
| 6.816712
|
0801.1933
|
Takehisa Fujita
|
Takehisa Fujita
|
Critical Review of Path Integral Formulation
|
14 pages, no figure
| null | null | null |
hep-th
| null |
The path integral formulation in quantum mechanics corresponds to the first
quantization since it is just to rewrite the quantum mechanical amplitude into
many dimensional integrations over discretized coordinates $x_n$. However, the
path integral expression cannot be connected to the dynamics of classical
mechanics, even though, superficially, there is some similarity between them.
Further, the field theory path integral in terms of many dimensional
integrations over fields does not correspond to the field quantization. We
clarify the essential difference between Feynman's original formulation of path
integral in QED and the modern version of the path integral method prevailing
in lattice field theory calculations, and show that the former can make a
correct second quantization while the latter cannot quantize fields at all and
its physical meaning is unknown.
|
[
{
"created": "Sun, 13 Jan 2008 04:28:38 GMT",
"version": "v1"
}
] |
2008-01-15
|
[
[
"Fujita",
"Takehisa",
""
]
] |
The path integral formulation in quantum mechanics corresponds to the first quantization since it is just to rewrite the quantum mechanical amplitude into many dimensional integrations over discretized coordinates $x_n$. However, the path integral expression cannot be connected to the dynamics of classical mechanics, even though, superficially, there is some similarity between them. Further, the field theory path integral in terms of many dimensional integrations over fields does not correspond to the field quantization. We clarify the essential difference between Feynman's original formulation of path integral in QED and the modern version of the path integral method prevailing in lattice field theory calculations, and show that the former can make a correct second quantization while the latter cannot quantize fields at all and its physical meaning is unknown.
| 13.126817
| 14.023061
| 12.767537
| 13.084256
| 13.858925
| 14.846128
| 14.073349
| 14.791313
| 13.692395
| 14.833848
| 12.316604
| 12.262275
| 12.238144
| 11.997563
| 12.153808
| 12.181262
| 12.64912
| 12.260199
| 12.331388
| 12.314636
| 11.793808
|
0905.4463
|
Heng-Yu Chen HYC
|
Heng-Yu Chen, Yu Nakayama and Gary Shiu
|
On D3-brane Dynamics at Strong Warping
|
19 pages, No figures
|
Int.J.Mod.Phys.A25:2493-2513,2010
|
10.1142/S0217751X10048366
|
MAD-TH-09-02, UCB-PTH-09-15
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the dynamics of a D3 brane in generic IIB warped compactifications,
using the Hamiltonian formulation discussed in arXiv:0805.3700 [hep-th]. Taking
into account of both closed and open string fluctuations, we derive the warped
Kahler potential governing the motion of a probe D3 brane. By including the
backreaction of D3, we also comment on how the problem of defining a
holomorphic gauge coupling on wrapped D7 branes in warped background can be
resolved.
|
[
{
"created": "Wed, 27 May 2009 18:53:05 GMT",
"version": "v1"
}
] |
2010-05-25
|
[
[
"Chen",
"Heng-Yu",
""
],
[
"Nakayama",
"Yu",
""
],
[
"Shiu",
"Gary",
""
]
] |
We study the dynamics of a D3 brane in generic IIB warped compactifications, using the Hamiltonian formulation discussed in arXiv:0805.3700 [hep-th]. Taking into account of both closed and open string fluctuations, we derive the warped Kahler potential governing the motion of a probe D3 brane. By including the backreaction of D3, we also comment on how the problem of defining a holomorphic gauge coupling on wrapped D7 branes in warped background can be resolved.
| 9.787674
| 7.766099
| 10.600107
| 8.232118
| 8.708111
| 7.817543
| 7.601841
| 8.015027
| 8.108356
| 11.272839
| 8.661716
| 8.36257
| 9.94914
| 8.690484
| 8.743432
| 8.445306
| 8.200479
| 8.536119
| 8.424925
| 9.130309
| 8.49771
|
hep-th/0606020
|
Cliff Burgess
|
C.P. Burgess
|
Strings, Branes and Cosmology: What can we hope to learn?
|
Some references added; Invited contribution to the 40th Rencontres de
Moriond, La Thuile, March 2006. (LaTeX 10 pages)
| null | null | null |
hep-th
| null |
This article briefly summarizes the motivations for -- and recent progress in
-- searching for cosmological configurations within string theory, with a focus
on how much we might reasonably hope to learn about fundamental physics from
precision cosmological measurements.
|
[
{
"created": "Fri, 2 Jun 2006 18:16:57 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Jan 2007 02:08:46 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Burgess",
"C. P.",
""
]
] |
This article briefly summarizes the motivations for -- and recent progress in -- searching for cosmological configurations within string theory, with a focus on how much we might reasonably hope to learn about fundamental physics from precision cosmological measurements.
| 16.345224
| 12.933189
| 11.830988
| 11.958681
| 11.621087
| 11.788674
| 12.385137
| 12.33687
| 12.601563
| 11.510315
| 11.438213
| 12.647263
| 12.640591
| 12.631017
| 11.93778
| 12.350516
| 12.728606
| 12.679
| 13.084282
| 12.780158
| 13.028424
|
1306.3565
|
Aleksey Milekhin
|
A. Gorsky, A. Milekhin
|
The CP(N-1) model on a Disc and Decay of a Non-Abelian String
| null |
Phys. Rev. D 88, 085017 (2013)
|
10.1103/PhysRevD.88.085017
|
ITEP-TH-12/13
|
hep-th cond-mat.mes-hall cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the role of quantum effects in the non-perturbative decay of
non-abelian string with orientational moduli in non-supersymmetric D=4 gauge
theory. To this aim the effective action in the $CP(N-1)$ model on a disc at
large N has been calculated. It exhibits phase transition at some radius, the
"wrong sign" Luscher term and large boundary boojum-like negative contribution.
The effect of $\theta$ - term and the possibility of the spontaneous creation
of the non-abelian string are briefly discussed.
|
[
{
"created": "Sat, 15 Jun 2013 11:35:51 GMT",
"version": "v1"
}
] |
2013-10-30
|
[
[
"Gorsky",
"A.",
""
],
[
"Milekhin",
"A.",
""
]
] |
We consider the role of quantum effects in the non-perturbative decay of non-abelian string with orientational moduli in non-supersymmetric D=4 gauge theory. To this aim the effective action in the $CP(N-1)$ model on a disc at large N has been calculated. It exhibits phase transition at some radius, the "wrong sign" Luscher term and large boundary boojum-like negative contribution. The effect of $\theta$ - term and the possibility of the spontaneous creation of the non-abelian string are briefly discussed.
| 16.14492
| 16.789591
| 17.314613
| 13.238938
| 14.514297
| 15.004598
| 16.665472
| 15.281983
| 14.176269
| 16.562349
| 14.628501
| 15.226564
| 15.857828
| 14.985556
| 15.042525
| 15.312988
| 15.122143
| 15.276803
| 14.717027
| 15.24823
| 15.208115
|
1605.04595
|
Vahid Reza Shajiee
|
Jafar Sadeghi, Vahid Reza Shajiee
|
Quantum Tunneling from the Charged Non-Rotating BTZ Black Hole with GUP
|
9 pages, Version accepted for publication in EPJ Plus
|
Eur.Phys.J.Plus 132 (2017) no.3, 132
|
10.1140/epjp/i2017-11432-x
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the present paper, the quantum corrections to the temperature, entropy and
specific heat capacity of the charged non-rotating BTZ black hole are studied
by generalized uncertainty principle in tunneling formalism. It is shown that
quantum corrected entropy would be of the form of predicted entropy in quantum
gravity theories like string theory and loop quantum gravity.
|
[
{
"created": "Sun, 15 May 2016 19:15:23 GMT",
"version": "v1"
},
{
"created": "Fri, 20 May 2016 14:36:55 GMT",
"version": "v2"
},
{
"created": "Wed, 1 Mar 2017 21:52:14 GMT",
"version": "v3"
}
] |
2019-02-04
|
[
[
"Sadeghi",
"Jafar",
""
],
[
"Shajiee",
"Vahid Reza",
""
]
] |
In the present paper, the quantum corrections to the temperature, entropy and specific heat capacity of the charged non-rotating BTZ black hole are studied by generalized uncertainty principle in tunneling formalism. It is shown that quantum corrected entropy would be of the form of predicted entropy in quantum gravity theories like string theory and loop quantum gravity.
| 8.716669
| 7.769646
| 7.650755
| 7.435995
| 8.51247
| 8.623655
| 7.994373
| 8.016497
| 8.159807
| 8.872488
| 8.248285
| 7.913187
| 8.243933
| 8.044842
| 8.275437
| 8.307733
| 8.446858
| 7.922531
| 8.041062
| 8.50406
| 7.798264
|
1303.1575
|
Elena-Mirela Babalic Dr
|
Elena-Mirela Babalic, Ioana-Alexandra Coman, Calin Iuliu Lazaroiu
|
A unified approach to Fierz identities
|
6 pages, 5 tables, proceedings for TIM-12 Conference of Physics
|
AIP Conf. Proc. 1564, 57 (2013)
|
10.1063/1.4832796
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We summarize a unified and computationally efficient treatment of Fierz
identities for form-valued pinor bilinears in various dimensions and
signatures, using concepts and techniques borrowed from a certain approach to
spinors known as geometric algebra. Our formulation displays the real, complex
and quaternionic structures in a conceptually clear manner, which is moreover
amenable to implementation in various symbolic computation systems.
|
[
{
"created": "Thu, 7 Mar 2013 00:01:44 GMT",
"version": "v1"
}
] |
2016-11-08
|
[
[
"Babalic",
"Elena-Mirela",
""
],
[
"Coman",
"Ioana-Alexandra",
""
],
[
"Lazaroiu",
"Calin Iuliu",
""
]
] |
We summarize a unified and computationally efficient treatment of Fierz identities for form-valued pinor bilinears in various dimensions and signatures, using concepts and techniques borrowed from a certain approach to spinors known as geometric algebra. Our formulation displays the real, complex and quaternionic structures in a conceptually clear manner, which is moreover amenable to implementation in various symbolic computation systems.
| 17.394972
| 13.193938
| 17.740488
| 14.219636
| 14.901943
| 13.725266
| 13.370991
| 14.171791
| 14.10018
| 17.091778
| 14.081561
| 14.728639
| 17.053923
| 15.185198
| 15.903979
| 15.089435
| 15.037406
| 14.503584
| 15.564887
| 16.348112
| 14.857131
|
1512.04607
|
Dmitri Gal'tsov
|
Dmitry Gal'tsov, Elena Melkumova and Pavel Spirin
|
Branestrahlung: radiation in the particle-brane collision
|
18 pages revtex4, 3 figures, journal version
|
Phys. Rev. D 93, 045018 (2016)
|
10.1103/PhysRevD.93.045018
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We calculate the radiation accompanying gravitational collision of the domain
wall and the point particle in five-dimensional spacetime. This process, which
can be regarded as brane-particle bremsstrahlung, here called {\it
branestrahlung}, has unusual features. Since the brane has intrinsic dynamics,
it gets excited in the course of collision, and, in particular, at the moment
of perforation the shock branon wave is generated, which then expands with the
velocity of light. Therefore, apart from the time-like source, whose radiation
can be computed in a standard way, the total radiation source contains a
light-like part whose retarded field is quite non-trivial, exhibiting
interesting retardation and memory effects. We analyze this field in detail,
showing that, contrary to the claims that the light-like sources should not
radiate at all, the radiation is non-zero and has classically divergent
spectrum. We estimate the total radiation power introducing appropriate
cutoffs. In passing, we explain how the sum of the non-local (with the support
inside the light cone) and the local (supported on the cone) singular parts of
the Green's function of the five-dimensional d'Alembert equation together
define a regular functional.
|
[
{
"created": "Mon, 14 Dec 2015 23:52:25 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Mar 2016 10:37:55 GMT",
"version": "v2"
}
] |
2016-03-31
|
[
[
"Gal'tsov",
"Dmitry",
""
],
[
"Melkumova",
"Elena",
""
],
[
"Spirin",
"Pavel",
""
]
] |
We calculate the radiation accompanying gravitational collision of the domain wall and the point particle in five-dimensional spacetime. This process, which can be regarded as brane-particle bremsstrahlung, here called {\it branestrahlung}, has unusual features. Since the brane has intrinsic dynamics, it gets excited in the course of collision, and, in particular, at the moment of perforation the shock branon wave is generated, which then expands with the velocity of light. Therefore, apart from the time-like source, whose radiation can be computed in a standard way, the total radiation source contains a light-like part whose retarded field is quite non-trivial, exhibiting interesting retardation and memory effects. We analyze this field in detail, showing that, contrary to the claims that the light-like sources should not radiate at all, the radiation is non-zero and has classically divergent spectrum. We estimate the total radiation power introducing appropriate cutoffs. In passing, we explain how the sum of the non-local (with the support inside the light cone) and the local (supported on the cone) singular parts of the Green's function of the five-dimensional d'Alembert equation together define a regular functional.
| 13.513771
| 14.167976
| 13.241148
| 13.355646
| 12.957467
| 12.589327
| 13.573172
| 13.22964
| 13.238338
| 15.170934
| 12.710601
| 12.854654
| 13.125522
| 13.080282
| 13.092959
| 13.141557
| 13.222364
| 12.723038
| 13.198349
| 13.288041
| 13.058567
|
2002.04341
|
Mikhail Plyushchay
|
Luis Inzunza, Mikhail S. Plyushchay, Andreas Wipf
|
Hidden symmetry and (super)conformal mechanics in a monopole background
|
43 pages, 4 figures
|
JHEP 2004 (2020) 028
|
10.1007/JHEP04(2020)028
| null |
hep-th math-ph math.MP nlin.SI quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study classical and quantum hidden symmetries of a particle with electric
charge $e$ in the background of a Dirac monopole of magnetic charge $g$
subjected to an additional central potential $V(r)=U(r) +(eg)^2/2mr^{2}$ with
$U(r)=\tfrac{1}{2}m\omega^2r^2$, similar to that in the one-dimensional
conformal mechanics model of de Alfaro, Fubini and Furlan (AFF). By means of a
non-unitary conformal bridge transformation, we establish a relation of the
quantum states and of all symmetries of the system with those of the system
without harmonic trap, $U(r)=0$. Introducing spin degrees of freedom via a very
special spin-orbit coupling, we construct the $\mathfrak{osp}(2,2)$
superconformal extension of the system with unbroken $\mathcal{N}=2$ Poincar\'e
supersymmetry and show that two different superconformal extensions of the
one-dimensional AFF model with unbroken and spontaneously broken supersymmetry
have a common origin. We also show a universal relationship between the
dynamics of a Euclidean particle in an arbitrary central potential $U(r)$ and
the dynamics of a charged particle in a monopole background subjected to the
potential $V(r)$.
|
[
{
"created": "Tue, 11 Feb 2020 12:14:38 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Feb 2020 10:53:03 GMT",
"version": "v2"
},
{
"created": "Mon, 16 Mar 2020 03:50:09 GMT",
"version": "v3"
},
{
"created": "Thu, 9 Apr 2020 01:59:05 GMT",
"version": "v4"
}
] |
2020-04-13
|
[
[
"Inzunza",
"Luis",
""
],
[
"Plyushchay",
"Mikhail S.",
""
],
[
"Wipf",
"Andreas",
""
]
] |
We study classical and quantum hidden symmetries of a particle with electric charge $e$ in the background of a Dirac monopole of magnetic charge $g$ subjected to an additional central potential $V(r)=U(r) +(eg)^2/2mr^{2}$ with $U(r)=\tfrac{1}{2}m\omega^2r^2$, similar to that in the one-dimensional conformal mechanics model of de Alfaro, Fubini and Furlan (AFF). By means of a non-unitary conformal bridge transformation, we establish a relation of the quantum states and of all symmetries of the system with those of the system without harmonic trap, $U(r)=0$. Introducing spin degrees of freedom via a very special spin-orbit coupling, we construct the $\mathfrak{osp}(2,2)$ superconformal extension of the system with unbroken $\mathcal{N}=2$ Poincar\'e supersymmetry and show that two different superconformal extensions of the one-dimensional AFF model with unbroken and spontaneously broken supersymmetry have a common origin. We also show a universal relationship between the dynamics of a Euclidean particle in an arbitrary central potential $U(r)$ and the dynamics of a charged particle in a monopole background subjected to the potential $V(r)$.
| 6.126893
| 6.215686
| 6.396358
| 5.762737
| 6.220086
| 5.692721
| 6.259006
| 6.100252
| 5.773098
| 6.814548
| 5.712904
| 6.044211
| 6.159285
| 5.902457
| 6.054898
| 6.001409
| 6.008333
| 5.779793
| 5.993544
| 6.196964
| 5.811714
|
hep-th/9803120
|
Shyamoli Chaudhuri
|
S.Chaudhuri and D. Minic
|
On the Hagedorn Transition and Collective Dynamics of D0-branes
|
11 pages, plain TeX, minor comment and references added, version to
appear in Phys. Lett. B
|
Phys.Lett. B433 (1998) 301-306
|
10.1016/S0370-2693(98)00703-5
| null |
hep-th
| null |
Banks, Fischler, Klebanov and Susskind have proposed a model for black hole
thermodynamics based on the principle that the entropy is of order the number
of particles at the phase transition point in a Boltzmann gas of D0-branes. We
show that the deviations from Boltzmann scaling found in $d<6$ noncompact
spatial dimensions have a simple explanation in the analysis of
self-gravitating random walks due to Horowitz and Polchinski. In the special
case of $d=4$ we find evidence for the onset of a phase transition in the
Boltzmann gas analogous to the well-known Hagedorn transition in a gas of free
strings. Our result relies on an estimate of the asymptotic density of states
in a dilute gas of D0-branes.
|
[
{
"created": "Fri, 13 Mar 1998 23:34:25 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Apr 1998 13:32:06 GMT",
"version": "v2"
},
{
"created": "Fri, 19 Jun 1998 18:34:32 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Chaudhuri",
"S.",
""
],
[
"Minic",
"D.",
""
]
] |
Banks, Fischler, Klebanov and Susskind have proposed a model for black hole thermodynamics based on the principle that the entropy is of order the number of particles at the phase transition point in a Boltzmann gas of D0-branes. We show that the deviations from Boltzmann scaling found in $d<6$ noncompact spatial dimensions have a simple explanation in the analysis of self-gravitating random walks due to Horowitz and Polchinski. In the special case of $d=4$ we find evidence for the onset of a phase transition in the Boltzmann gas analogous to the well-known Hagedorn transition in a gas of free strings. Our result relies on an estimate of the asymptotic density of states in a dilute gas of D0-branes.
| 9.400045
| 7.54982
| 8.817876
| 7.166931
| 7.082115
| 7.58689
| 8.18001
| 7.249257
| 7.299801
| 9.529947
| 7.961452
| 7.083038
| 7.757107
| 7.209875
| 7.155041
| 7.119872
| 7.024271
| 7.446489
| 7.168424
| 7.594265
| 7.360843
|
1910.04741
|
Suddhasattwa Brahma
|
Suddhasattwa Brahma
|
Trans-Planckian censorship, inflation and excited initial states for
perturbations
|
15 pages, comments welcome; typos corrected, refs added & minor
revisions; v3: matches published version
|
Phys. Rev. D 101, 023526 (2020)
|
10.1103/PhysRevD.101.023526
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The recently proposed trans-Planckian censorship conjecture (TCC) seems to
require that the energy scale of inflation is significantly lower than the
Planck scale $(H_\text{inf}<10^{-20} \Mpl)$. This, in turn, implies that the
tensor-to-scalar ratio for inflation is negligibly small, \textit{independent}
of assumptions of slow-roll or even of having a single scalar field, thus
ruling out inflation if primordial tensor modes are ever observed. After
demonstrating the robustness and generality of these bounds, we show that
having an excited initial state for cosmological perturbations seems to be a
way out of this problem for models of inflation.
|
[
{
"created": "Thu, 10 Oct 2019 17:51:16 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Oct 2019 20:40:00 GMT",
"version": "v2"
},
{
"created": "Fri, 7 Feb 2020 18:17:23 GMT",
"version": "v3"
}
] |
2020-02-10
|
[
[
"Brahma",
"Suddhasattwa",
""
]
] |
The recently proposed trans-Planckian censorship conjecture (TCC) seems to require that the energy scale of inflation is significantly lower than the Planck scale $(H_\text{inf}<10^{-20} \Mpl)$. This, in turn, implies that the tensor-to-scalar ratio for inflation is negligibly small, \textit{independent} of assumptions of slow-roll or even of having a single scalar field, thus ruling out inflation if primordial tensor modes are ever observed. After demonstrating the robustness and generality of these bounds, we show that having an excited initial state for cosmological perturbations seems to be a way out of this problem for models of inflation.
| 7.391918
| 8.098701
| 7.396328
| 6.796031
| 7.411019
| 7.20457
| 8.344181
| 7.51253
| 6.849512
| 7.275735
| 7.443463
| 7.286113
| 7.134948
| 6.915535
| 7.16729
| 7.065607
| 7.302418
| 7.082651
| 6.944151
| 6.875343
| 6.902601
|
hep-th/0302039
|
Arkady A. Popov
|
Arkady A. Popov
|
Analytical approximation of the stress-energy tensor of a quantized
scalar field in static spherically symmetric spacetimes
|
revtex4, 17 pages; v2: three references added
|
Phys.Rev.D67:044021,2003
|
10.1103/PhysRevD.67.044021
| null |
hep-th gr-qc
| null |
Analytical approximations for ${< \phi^2 >}$ and ${< T^{\mu}_{\nu} >}$ of a
quantized scalar field in static spherically symmetric spacetimes are obtained.
The field is assumed to be both massive and massless, with an arbitrary
coupling $\xi$ to the scalar curvature, and in a zero temperature vacuum state.
The expressions for ${< \phi^2 >}$ and ${< T^{\mu}_{\nu} >}$ are divided into
low- and high-frequency parts. The contributions of the high-frequency modes to
these quantities are calculated for an arbitrary quantum state. As an example,
the low-frequency contributions to ${< \phi^2 >}$ and ${< T^{\mu}_{\nu} >}$ are
calculated in asymptotically flat spacetimes in a quantum state corresponding
to the Minkowski vacuum (Boulware quantum state). The limits of the
applicability of these approximations are discussed.
|
[
{
"created": "Thu, 6 Feb 2003 13:33:39 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Feb 2003 20:35:40 GMT",
"version": "v2"
}
] |
2010-11-19
|
[
[
"Popov",
"Arkady A.",
""
]
] |
Analytical approximations for ${< \phi^2 >}$ and ${< T^{\mu}_{\nu} >}$ of a quantized scalar field in static spherically symmetric spacetimes are obtained. The field is assumed to be both massive and massless, with an arbitrary coupling $\xi$ to the scalar curvature, and in a zero temperature vacuum state. The expressions for ${< \phi^2 >}$ and ${< T^{\mu}_{\nu} >}$ are divided into low- and high-frequency parts. The contributions of the high-frequency modes to these quantities are calculated for an arbitrary quantum state. As an example, the low-frequency contributions to ${< \phi^2 >}$ and ${< T^{\mu}_{\nu} >}$ are calculated in asymptotically flat spacetimes in a quantum state corresponding to the Minkowski vacuum (Boulware quantum state). The limits of the applicability of these approximations are discussed.
| 4.261672
| 3.688214
| 3.700724
| 3.370324
| 3.422975
| 3.186546
| 3.4635
| 3.30519
| 3.651935
| 3.754416
| 3.691284
| 3.988679
| 3.801412
| 3.801062
| 3.810482
| 3.908087
| 4.010372
| 3.749576
| 3.993427
| 3.928348
| 3.882263
|
2009.00737
|
Dionisio Bazeia
|
D. Bazeia, A. Mohammadi, D.C. Moreira
|
Fermions in the presence of topological structures under geometric
constrictions
|
8 pages, 7 figures; v2, new results and references added. To appear
in PRD
|
Phys. Rev. D 103, 025003 (2021)
|
10.1103/PhysRevD.103.025003
| null |
hep-th cond-mat.mes-hall
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we study modifications of the spectrum of fermions interacting
with kinklike structures in two-dimensional spacetime. We consider the Yukawa
coupling between fermions and scalar fields that engender nontrivial internal
structure and investigate how the fermion spectra change in terms of the
parameters that control the kinklike configuration and the Yukawa coupling. We
consider models that allow the internal structure of the kinklike solution to
respond to the presence of a geometrical constriction, and show the fermion
spectra may also appear directly affected by the constriction. The main results
are of current interest and may be used to propose the construction of
electronic devices capable of engendering new effects at the nanometric scale.
|
[
{
"created": "Tue, 1 Sep 2020 22:52:00 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Dec 2020 17:08:37 GMT",
"version": "v2"
}
] |
2021-01-13
|
[
[
"Bazeia",
"D.",
""
],
[
"Mohammadi",
"A.",
""
],
[
"Moreira",
"D. C.",
""
]
] |
In this work we study modifications of the spectrum of fermions interacting with kinklike structures in two-dimensional spacetime. We consider the Yukawa coupling between fermions and scalar fields that engender nontrivial internal structure and investigate how the fermion spectra change in terms of the parameters that control the kinklike configuration and the Yukawa coupling. We consider models that allow the internal structure of the kinklike solution to respond to the presence of a geometrical constriction, and show the fermion spectra may also appear directly affected by the constriction. The main results are of current interest and may be used to propose the construction of electronic devices capable of engendering new effects at the nanometric scale.
| 11.873949
| 8.911027
| 10.865928
| 9.67292
| 9.521748
| 8.884776
| 8.278695
| 9.957656
| 9.189772
| 11.931944
| 9.696056
| 10.346552
| 11.090175
| 10.060229
| 10.49004
| 10.488116
| 9.843076
| 10.415399
| 10.317836
| 11.043564
| 10.330692
|
2308.16247
|
Shraiyance Jain
|
Abhijit Gadde, Shraiyance Jain, Vineeth Krishna, Harshal Kulkarni,
Trakshu Sharma
|
Monotonicity conjecture for multi-party entanglement I
|
40 Pages, 10 Figures
| null |
10.1007/JHEP02(2024)025
| null |
hep-th quant-ph
|
http://creativecommons.org/licenses/by/4.0/
|
In this paper, we conjecture a monotonicity property that we call
monotonicity under coarse-graining for a class of multi-partite entanglement
measures. We check these properties by computing the measures for various types
of states using different methods.
|
[
{
"created": "Wed, 30 Aug 2023 18:10:09 GMT",
"version": "v1"
}
] |
2024-02-07
|
[
[
"Gadde",
"Abhijit",
""
],
[
"Jain",
"Shraiyance",
""
],
[
"Krishna",
"Vineeth",
""
],
[
"Kulkarni",
"Harshal",
""
],
[
"Sharma",
"Trakshu",
""
]
] |
In this paper, we conjecture a monotonicity property that we call monotonicity under coarse-graining for a class of multi-partite entanglement measures. We check these properties by computing the measures for various types of states using different methods.
| 11.044794
| 10.166403
| 9.424311
| 8.515369
| 9.243279
| 10.21353
| 10.470733
| 9.723042
| 9.843081
| 10.046059
| 8.973507
| 8.99922
| 9.893861
| 9.062236
| 9.565916
| 9.207496
| 9.287057
| 9.746172
| 8.941048
| 10.136379
| 9.072426
|
hep-th/9312091
|
D. V. Ahluwalia, Lanl
|
D. V. Ahluwalia, T. Goldman, and M. B. Johnson
|
(J,0)+(0,j) Representation Space: Majorana-Like Construct
|
Los Alamos Natioanl Laboratory Preprint LA-UR-93-4316
|
Acta Phys.Polon.B25:1267-1278,1994
| null | null |
hep-th
| null |
This is second of the two invited lectures presented (by D. V. Ahluwalia) at
the ``XVII International School of Theoretical Physics: Standard Model and
Beyond' 93.'' The text is essentially based on a recent publication by the
present authors [Mod. Phys. Lett. A (in press)]. Here, after briefly reviewing
the $(j,0)\oplus(0,j)$ Dirac-like construct in the front form, we present a
detailed construction of the $(j,0)\oplus(0,j)$ Majorana-like fields.
|
[
{
"created": "Sat, 11 Dec 1993 00:36:39 GMT",
"version": "v1"
}
] |
2010-05-27
|
[
[
"Ahluwalia",
"D. V.",
""
],
[
"Goldman",
"T.",
""
],
[
"Johnson",
"M. B.",
""
]
] |
This is second of the two invited lectures presented (by D. V. Ahluwalia) at the ``XVII International School of Theoretical Physics: Standard Model and Beyond' 93.'' The text is essentially based on a recent publication by the present authors [Mod. Phys. Lett. A (in press)]. Here, after briefly reviewing the $(j,0)\oplus(0,j)$ Dirac-like construct in the front form, we present a detailed construction of the $(j,0)\oplus(0,j)$ Majorana-like fields.
| 9.300456
| 5.960042
| 8.64399
| 6.282753
| 8.617604
| 8.488418
| 8.281512
| 6.357488
| 5.793597
| 9.537911
| 6.306065
| 7.779418
| 8.131427
| 7.206407
| 7.779919
| 8.556208
| 8.159963
| 7.69693
| 7.495828
| 8.079049
| 7.574552
|
hep-th/0605208
|
W. F. Kao
|
W.F. Kao
|
Anisotropic higher derivative gravity and inflationary universe
|
9 pages
|
Phys.Rev. D74 (2006) 043522
|
10.1103/PhysRevD.74.043522
| null |
hep-th
| null |
Stability analysis of the Kantowski-Sachs type universe in pure higher
derivative gravity theory is studied in details. The non-redundant generalized
Friedmann equation of the system is derived by introducing a reduced one
dimensional generalized KS type action. This method greatly reduces the labor
in deriving field equations of any complicate models. Existence and stability
of inflationary solution in the presence of higher derivative terms are also
studied in details. Implications to the choice of physical theories are
discussed in details in this paper.
|
[
{
"created": "Sun, 21 May 2006 20:58:04 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Kao",
"W. F.",
""
]
] |
Stability analysis of the Kantowski-Sachs type universe in pure higher derivative gravity theory is studied in details. The non-redundant generalized Friedmann equation of the system is derived by introducing a reduced one dimensional generalized KS type action. This method greatly reduces the labor in deriving field equations of any complicate models. Existence and stability of inflationary solution in the presence of higher derivative terms are also studied in details. Implications to the choice of physical theories are discussed in details in this paper.
| 19.602139
| 14.352026
| 17.251205
| 15.886453
| 17.671509
| 17.568624
| 17.362902
| 15.257518
| 14.736771
| 18.62553
| 15.779416
| 16.809568
| 16.315409
| 16.208033
| 16.166071
| 16.556652
| 16.594374
| 15.870245
| 15.861538
| 16.455353
| 16.436617
|
1609.03651
|
Chen-Te Ma
|
Chen-Te Ma
|
Discussion of Entanglement Entropy in Quantum Gravity
|
10 pages, minor changes, references added
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study entanglement entropy in gravity theory with quantum effects. A
simplest model is a two dimensional Einstein-Hilbert action . We use an
$n$-sheet manifold to obtain an area term of entanglement entropy by summing
over all background fields. A strongly coupled conformal field theory is
expected to describe perturbative quantum gravity theory. Thus, we also use two
dimensional conformal field theory to discuss a factorization of a Hilbert
space. We find that a coefficient of a universal term of the entanglement
entropy is independent of a choice of an entangling surface in two dimensional
conformal field theory for one interval and also argue the result possibly be
extended to multiple intervals. Finally, we discuss that translational
invariance possibly be a necessary condition in a quantum gravity theory by
ruing out a volume law of entanglement entropy.
|
[
{
"created": "Tue, 13 Sep 2016 01:15:42 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Sep 2016 10:45:31 GMT",
"version": "v2"
},
{
"created": "Sat, 9 Sep 2017 14:27:14 GMT",
"version": "v3"
}
] |
2017-09-12
|
[
[
"Ma",
"Chen-Te",
""
]
] |
We study entanglement entropy in gravity theory with quantum effects. A simplest model is a two dimensional Einstein-Hilbert action . We use an $n$-sheet manifold to obtain an area term of entanglement entropy by summing over all background fields. A strongly coupled conformal field theory is expected to describe perturbative quantum gravity theory. Thus, we also use two dimensional conformal field theory to discuss a factorization of a Hilbert space. We find that a coefficient of a universal term of the entanglement entropy is independent of a choice of an entangling surface in two dimensional conformal field theory for one interval and also argue the result possibly be extended to multiple intervals. Finally, we discuss that translational invariance possibly be a necessary condition in a quantum gravity theory by ruing out a volume law of entanglement entropy.
| 11.140765
| 10.633794
| 12.058004
| 10.675843
| 10.837693
| 10.418018
| 10.980556
| 10.674513
| 10.573255
| 12.706996
| 10.720935
| 11.153312
| 11.551832
| 10.793298
| 10.599079
| 10.317986
| 10.918961
| 10.782097
| 10.999381
| 11.386044
| 11.142813
|
0803.2876
|
Mirjam Cvetic
|
Mirjam Cvetic and Paul Langacker
|
D-Instanton Generated Dirac Neutrino Masses
|
4 pages, 1 figure minor corrections, the version to be published in
Phys. Rev. D
|
Phys.Rev.D78:066012,2008
|
10.1103/PhysRevD.78.066012
|
UPR-1193-T
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a stringy mechanism to generate Dirac neutrino masses by
D-instantons in an experimentally relevant mass scale without fine-tuning.
Within Type IIA string theory with intersecting D6-branes, we spell out
specific conditions for the emergence of such couplings and provide a class of
supersymmetric local SU(5) Grand Unified models, based on the Z_2 x Z'_2
orientifold compactification, where perturbatively absent Dirac neutrino masses
can be generated by D2-brane instantons in the experimentally observed mass
regime, while Majorana masses remain absent, thus providing an intriguing
mechanism for the origin of small neutrino masses due to non-perturbative
stringy effects.
|
[
{
"created": "Wed, 19 Mar 2008 19:59:04 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Sep 2008 00:55:08 GMT",
"version": "v2"
}
] |
2009-02-23
|
[
[
"Cvetic",
"Mirjam",
""
],
[
"Langacker",
"Paul",
""
]
] |
We present a stringy mechanism to generate Dirac neutrino masses by D-instantons in an experimentally relevant mass scale without fine-tuning. Within Type IIA string theory with intersecting D6-branes, we spell out specific conditions for the emergence of such couplings and provide a class of supersymmetric local SU(5) Grand Unified models, based on the Z_2 x Z'_2 orientifold compactification, where perturbatively absent Dirac neutrino masses can be generated by D2-brane instantons in the experimentally observed mass regime, while Majorana masses remain absent, thus providing an intriguing mechanism for the origin of small neutrino masses due to non-perturbative stringy effects.
| 8.027651
| 8.568542
| 8.870876
| 8.272159
| 8.893167
| 8.335611
| 8.238498
| 8.059506
| 7.434304
| 8.514165
| 7.806803
| 7.483801
| 7.805461
| 7.607722
| 7.515624
| 7.697283
| 7.40155
| 7.56987
| 7.47674
| 8.026324
| 7.53001
|
0704.0212
|
Krzysztof Turzynski
|
Z. Lalak, D. Langlois, S. Pokorski, K. Turzynski
|
Curvature and isocurvature perturbations in two-field inflation
|
29 pages, 12 figures; v2: updated references, discussion extended,
matches the published version
|
JCAP 0707:014,2007
|
10.1088/1475-7516/2007/07/014
| null |
hep-th astro-ph gr-qc
| null |
We study cosmological perturbations in two-field inflation, allowing for
non-standard kinetic terms. We calculate analytically the spectra of curvature
and isocurvature modes at Hubble crossing, up to first order in the slow-roll
parameters. We also compute numerically the evolution of the curvature and
isocurvature modes from well within the Hubble radius until the end of
inflation. We show explicitly for a few examples, including the recently
proposed model of `roulette' inflation, how isocurvature perturbations affect
significantly the curvature perturbation between Hubble crossing and the end of
inflation.
|
[
{
"created": "Mon, 2 Apr 2007 15:12:23 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Jul 2007 19:45:32 GMT",
"version": "v2"
}
] |
2009-11-13
|
[
[
"Lalak",
"Z.",
""
],
[
"Langlois",
"D.",
""
],
[
"Pokorski",
"S.",
""
],
[
"Turzynski",
"K.",
""
]
] |
We study cosmological perturbations in two-field inflation, allowing for non-standard kinetic terms. We calculate analytically the spectra of curvature and isocurvature modes at Hubble crossing, up to first order in the slow-roll parameters. We also compute numerically the evolution of the curvature and isocurvature modes from well within the Hubble radius until the end of inflation. We show explicitly for a few examples, including the recently proposed model of `roulette' inflation, how isocurvature perturbations affect significantly the curvature perturbation between Hubble crossing and the end of inflation.
| 5.631414
| 5.419532
| 5.71734
| 5.704678
| 5.647173
| 5.378848
| 5.96816
| 5.0895
| 5.747343
| 6.098997
| 5.284878
| 5.399602
| 5.400239
| 5.21294
| 5.327832
| 5.353085
| 5.467796
| 5.179064
| 5.304608
| 5.290324
| 5.183693
|
0809.0085
|
Antonio Capolupo Dr
|
A.Capolupo, S.Capozziello, G.Vitiello
|
Dark energy and particle mixing
|
11 pages
|
Phys.Lett.A373:601-610,2009
|
10.1016/j.physleta.2008.12.018
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the vacuum condensate due to particle mixing is responsible of a
dynamically evolving dark energy. In particular, we show that values of the
adiabatic index close to -1 for vacuum condensates of neutrinos and quarks
imply, at the present epoch, contributions to the vacuum energy compatible with
the estimated upper bound on the dark energy.
|
[
{
"created": "Sat, 30 Aug 2008 19:26:12 GMT",
"version": "v1"
}
] |
2009-02-02
|
[
[
"Capolupo",
"A.",
""
],
[
"Capozziello",
"S.",
""
],
[
"Vitiello",
"G.",
""
]
] |
We show that the vacuum condensate due to particle mixing is responsible of a dynamically evolving dark energy. In particular, we show that values of the adiabatic index close to -1 for vacuum condensates of neutrinos and quarks imply, at the present epoch, contributions to the vacuum energy compatible with the estimated upper bound on the dark energy.
| 13.27824
| 10.35638
| 11.93401
| 11.908873
| 12.197371
| 12.965285
| 11.007132
| 11.628373
| 11.715284
| 12.749219
| 10.537436
| 12.608791
| 12.426611
| 11.501536
| 12.297968
| 12.240598
| 11.968844
| 12.468973
| 11.529585
| 11.001142
| 12.5582
|
1308.3844
|
Fa-Min Chen
|
Fa-Min Chen
|
OSp(4|4) superconformal currents in three-dimensional N=4 Chern-Simons
quiver gauge theories
|
23 pages, published in PRD
|
Phys. Rev. D 87, 085007 (2013)
|
10.1103/PhysRevD.87.085007
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We prove explicitly that the general D=3, N=4 Chern-Simons-matter (CSM)
theory has a complete OSp(4|4) superconformal symmetry, and construct the
corresponding conserved currents. We re-derive the OSp(5|4) superconformal
currents in the general N=5 theory as special cases of the OSp(4|4) currents by
enhancing the supersymmetry from N=4 to N=5. The closure of the full OSp(4|4)
superconformal algebra is verified explicitly.
|
[
{
"created": "Sun, 18 Aug 2013 08:53:02 GMT",
"version": "v1"
}
] |
2013-08-20
|
[
[
"Chen",
"Fa-Min",
""
]
] |
We prove explicitly that the general D=3, N=4 Chern-Simons-matter (CSM) theory has a complete OSp(4|4) superconformal symmetry, and construct the corresponding conserved currents. We re-derive the OSp(5|4) superconformal currents in the general N=5 theory as special cases of the OSp(4|4) currents by enhancing the supersymmetry from N=4 to N=5. The closure of the full OSp(4|4) superconformal algebra is verified explicitly.
| 4.681301
| 3.997958
| 5.256481
| 4.002001
| 3.824085
| 3.800411
| 3.917551
| 4.303308
| 4.174923
| 5.636065
| 4.121244
| 4.2089
| 4.638023
| 4.317595
| 4.183346
| 4.159997
| 4.04658
| 4.230295
| 4.279257
| 4.791093
| 4.172143
|
2011.05305
|
Jordan Wilson-Gerow
|
Jordan Wilson-Gerow, P.C.E. Stamp
|
Gauge Invariant Propagators and States in Quantum Electrodynamics
|
24 pages, 3 figures
|
Annals of Physics, Volume 442, 2022, 168898
|
10.1016/j.aop.2022.168898
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study gauge invariant states in QED, where states are understood in terms
of data living on the boundary of gauge invariant path-integrals. This is done
for both scalar and spinor QED, and for boundaries that are either time slices,
or the boundaries of a 'causal diamond'. We discuss both the case where the
gauge field falls off to zero at the boundaries, and the case of 'large gauge
transformations', where it remains finite at the boundaries. The dynamics are
discussed using the gauge-invariant propagator, describing motion of both the
particles and the field between the boundaries. We demonstrate how the
path-integral naturally generates a 'Coulomb-field' dressing factor for states
living on time-slices, and how this is done without fixing any gauge. We show
that the form of the dressing depends only on the nature of the boundaries. We
also derive the analogous dressing for states defined on null infinity, showing
both its Coulombic parts as well as soft-photon parts.
|
[
{
"created": "Tue, 10 Nov 2020 18:43:01 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Oct 2023 18:45:42 GMT",
"version": "v2"
}
] |
2023-10-30
|
[
[
"Wilson-Gerow",
"Jordan",
""
],
[
"Stamp",
"P. C. E.",
""
]
] |
We study gauge invariant states in QED, where states are understood in terms of data living on the boundary of gauge invariant path-integrals. This is done for both scalar and spinor QED, and for boundaries that are either time slices, or the boundaries of a 'causal diamond'. We discuss both the case where the gauge field falls off to zero at the boundaries, and the case of 'large gauge transformations', where it remains finite at the boundaries. The dynamics are discussed using the gauge-invariant propagator, describing motion of both the particles and the field between the boundaries. We demonstrate how the path-integral naturally generates a 'Coulomb-field' dressing factor for states living on time-slices, and how this is done without fixing any gauge. We show that the form of the dressing depends only on the nature of the boundaries. We also derive the analogous dressing for states defined on null infinity, showing both its Coulombic parts as well as soft-photon parts.
| 11.46935
| 11.611762
| 12.383511
| 11.081542
| 11.889742
| 11.185649
| 11.659155
| 11.088172
| 10.919037
| 13.189523
| 10.87766
| 10.822229
| 11.456336
| 10.951226
| 11.157413
| 10.848099
| 10.696815
| 10.800179
| 11.053838
| 11.431011
| 10.797911
|
1210.2855
|
Teruhiko Kawano
|
Yasutaka Fukuda, Teruhiko Kawano, Nariaki Matsumiya
|
5D SYM and 2D q-Deformed YM
|
32 pages; v2: one reference added and minor corrections; v3: minor
corrections
| null |
10.1016/j.nuclphysb.2012.12.017
|
UT-12-33
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the AGT-like conjectured relation of a four-dimensional gauge theory
on the direct product of a three-sphere and a circle to two-dimensional
q-deformed Yang-Mills theory on a Riemann surface by using a five-dimensional
N=2 supersymmetric Yang-Mills theory on the direct product of the three-sphere
and the Riemann surface, following the conjectured relation of the
six-dimensional N=(2,0) theory on the circle to the five-dimensional Yang-Mills
theory. Our results are in perfect agreement with both of the conjectures.
|
[
{
"created": "Wed, 10 Oct 2012 10:03:32 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Oct 2012 06:46:06 GMT",
"version": "v2"
},
{
"created": "Thu, 17 Jan 2013 02:51:50 GMT",
"version": "v3"
}
] |
2015-06-11
|
[
[
"Fukuda",
"Yasutaka",
""
],
[
"Kawano",
"Teruhiko",
""
],
[
"Matsumiya",
"Nariaki",
""
]
] |
We study the AGT-like conjectured relation of a four-dimensional gauge theory on the direct product of a three-sphere and a circle to two-dimensional q-deformed Yang-Mills theory on a Riemann surface by using a five-dimensional N=2 supersymmetric Yang-Mills theory on the direct product of the three-sphere and the Riemann surface, following the conjectured relation of the six-dimensional N=(2,0) theory on the circle to the five-dimensional Yang-Mills theory. Our results are in perfect agreement with both of the conjectures.
| 5.325166
| 4.974769
| 5.569485
| 4.493223
| 5.030495
| 5.130609
| 4.842537
| 4.834737
| 4.403535
| 6.138044
| 4.798387
| 4.732473
| 5.388917
| 4.897765
| 4.837366
| 4.832685
| 4.962399
| 4.713057
| 4.872199
| 5.422116
| 4.804274
|
1501.05336
|
\"Ozg\"ur Acik
|
\"Ozg\"ur A\c{c}{\i}k, \"Umit Ertem
|
Higher-degree Dirac Currents of Twistor and Killing Spinors in
Supergravity Theories
|
18 pages, published version
|
Class. Quantum Grav. 32 (2015) 175007
|
10.1088/0264-9381/32/17/175007
| null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that higher degree Dirac currents of twistor and Killing spinors
correspond to the hidden symmetries of the background spacetime which are
generalizations of conformal Killing and Killing vector fields respectively.
They are the generalizations of 1-form Dirac currents to higher degrees which
are used in constructing the bosonic supercharges in supergravity theories. In
the case of Killing spinors, we find that the equations satisfied by the higher
degree Dirac currents are related to Maxwell-like and Duffin-Kemmer-Petiau
equations. Correspondence between the Dirac currents and harmonic forms for
parallel and pure spinor cases is determined. We also analyze the supergravity
twistor and Killing spinor cases in 10 and 11-dimensional supergravity theories
and find that although different inner product classes induce different
involutions on spinors, the higher degree Dirac currents still correspond to
the hidden symmetries of the spacetime.
|
[
{
"created": "Wed, 21 Jan 2015 21:48:33 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Aug 2015 09:38:31 GMT",
"version": "v2"
}
] |
2015-08-17
|
[
[
"Açık",
"Özgür",
""
],
[
"Ertem",
"Ümit",
""
]
] |
We show that higher degree Dirac currents of twistor and Killing spinors correspond to the hidden symmetries of the background spacetime which are generalizations of conformal Killing and Killing vector fields respectively. They are the generalizations of 1-form Dirac currents to higher degrees which are used in constructing the bosonic supercharges in supergravity theories. In the case of Killing spinors, we find that the equations satisfied by the higher degree Dirac currents are related to Maxwell-like and Duffin-Kemmer-Petiau equations. Correspondence between the Dirac currents and harmonic forms for parallel and pure spinor cases is determined. We also analyze the supergravity twistor and Killing spinor cases in 10 and 11-dimensional supergravity theories and find that although different inner product classes induce different involutions on spinors, the higher degree Dirac currents still correspond to the hidden symmetries of the spacetime.
| 8.891627
| 9.615922
| 9.291646
| 9.131764
| 9.942698
| 9.893323
| 9.488392
| 9.512339
| 8.957495
| 10.072121
| 8.728786
| 8.984541
| 9.155196
| 8.880489
| 8.810826
| 8.892859
| 9.049356
| 8.878418
| 8.696764
| 9.341664
| 8.845201
|
2202.08462
|
Kenta Suzuki
|
Kenta Suzuki, Tadashi Takayanagi
|
BCFT and Islands in Two Dimensions
|
40 pages, 5 figures
| null |
10.1007/JHEP06(2022)095
|
YITP-22-14, IPMU22-0002
|
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
By combining the AdS/BCFT correspondence and the brane world holography, we
expect an equivalence relation between a boundary conformal field theory (BCFT)
and a gravitational system coupled to a CFT. However, it still remains unclear
how the boundary condition of the BCFT is translated in the gravitational
system. We examine this duality relation in a two-dimensional setup by looking
at the computation of entanglement entropy and energy flux conservation. We
also identify the two-dimensional gravity which is dual to the boundary
dynamics of a BCFT. Moreover, we show that by considering a gravity solution
with scalar fields turned on, we can reproduce one point functions correctly in
the AdS/BCFT.
|
[
{
"created": "Thu, 17 Feb 2022 06:23:56 GMT",
"version": "v1"
}
] |
2022-07-06
|
[
[
"Suzuki",
"Kenta",
""
],
[
"Takayanagi",
"Tadashi",
""
]
] |
By combining the AdS/BCFT correspondence and the brane world holography, we expect an equivalence relation between a boundary conformal field theory (BCFT) and a gravitational system coupled to a CFT. However, it still remains unclear how the boundary condition of the BCFT is translated in the gravitational system. We examine this duality relation in a two-dimensional setup by looking at the computation of entanglement entropy and energy flux conservation. We also identify the two-dimensional gravity which is dual to the boundary dynamics of a BCFT. Moreover, we show that by considering a gravity solution with scalar fields turned on, we can reproduce one point functions correctly in the AdS/BCFT.
| 9.596597
| 8.896734
| 10.357747
| 8.583496
| 9.004436
| 9.026811
| 8.287603
| 8.78714
| 8.520979
| 11.615267
| 8.403872
| 8.419636
| 9.931138
| 8.837803
| 8.731317
| 8.50472
| 8.720935
| 8.714961
| 8.897024
| 9.747821
| 8.607418
|
2310.13109
|
Ilya Shirokov
|
Ilya Shirokov, Valentina Shirokova
|
The four-loop $\beta$-function from vacuum supergraphs and the NSVZ
relation for ${\cal N}=1$ SQED regularized by higher derivatives
|
The version accepted for publication in the European Physical Journal
C
| null |
10.1140/epjc/s10052-024-12587-y
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In ${\cal N}=1$ SQED with $N_f$ flavors regularized by higher derivatives we
obtain the four-loop beta function using a method based on calculating vacuum
supergraphs. For this purpose we use a special C++ program which obtain
contributions to the $\beta$-function from supergraphs without external legs in
the form of integrals of double total derivatives. After that the result was
compared with the three-loop anomalous dimension calculated earlier. We
explicitly check the NSVZ relation in this order.
|
[
{
"created": "Thu, 19 Oct 2023 19:13:05 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Feb 2024 22:00:53 GMT",
"version": "v2"
}
] |
2024-03-12
|
[
[
"Shirokov",
"Ilya",
""
],
[
"Shirokova",
"Valentina",
""
]
] |
In ${\cal N}=1$ SQED with $N_f$ flavors regularized by higher derivatives we obtain the four-loop beta function using a method based on calculating vacuum supergraphs. For this purpose we use a special C++ program which obtain contributions to the $\beta$-function from supergraphs without external legs in the form of integrals of double total derivatives. After that the result was compared with the three-loop anomalous dimension calculated earlier. We explicitly check the NSVZ relation in this order.
| 13.153098
| 8.597026
| 13.514622
| 9.066089
| 8.605604
| 8.521932
| 9.008061
| 8.491115
| 8.406418
| 16.641352
| 9.426805
| 10.129936
| 11.501159
| 10.900821
| 10.526827
| 10.608215
| 9.886073
| 9.966209
| 10.438334
| 11.791924
| 10.844938
|
hep-th/0611231
|
Rodrigo Ferreira Sobreiro
|
V. E. R. Lemes, R. F. Sobreiro, S. P. Sorella
|
Renormalizability of the dimension two gluon operator $A^{2}$ in a class
of nonlinear covariant gauges
| null |
J.Phys.A40:4025-4032,2007
|
10.1088/1751-8113/40/14/017
| null |
hep-th
| null |
In this work we discuss a class of nonlinear covariant gauges for Yang-Mills
theories which enjoy the property of being multiplicatively renormalizable to
all orders. This property follows from the validity of a linearly broken
identity, known as the ghost Ward identity. Furthermore, thanks to this
identity, it turns out that the local composite dimension two gluon operator
$A_{\mu}^{a}A_{\mu}^{a}$ can be introduced in a mulptiplicatively
renormalizable way.
|
[
{
"created": "Tue, 21 Nov 2006 20:06:00 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Nov 2006 22:07:13 GMT",
"version": "v2"
},
{
"created": "Tue, 20 Mar 2007 21:30:33 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Lemes",
"V. E. R.",
""
],
[
"Sobreiro",
"R. F.",
""
],
[
"Sorella",
"S. P.",
""
]
] |
In this work we discuss a class of nonlinear covariant gauges for Yang-Mills theories which enjoy the property of being multiplicatively renormalizable to all orders. This property follows from the validity of a linearly broken identity, known as the ghost Ward identity. Furthermore, thanks to this identity, it turns out that the local composite dimension two gluon operator $A_{\mu}^{a}A_{\mu}^{a}$ can be introduced in a mulptiplicatively renormalizable way.
| 8.363598
| 6.025387
| 8.251101
| 7.108509
| 7.330101
| 8.01323
| 7.402758
| 7.239661
| 7.182765
| 9.185359
| 7.467175
| 7.429606
| 7.308095
| 7.460829
| 7.450051
| 7.147294
| 7.075084
| 7.30271
| 7.19334
| 7.427265
| 6.865267
|
2010.07942
|
Domenico Orlando
|
Domenico Orlando, Vito Pellizzani, Susanne Reffert
|
Near-Schr\"odinger dynamics at large charge
|
Matches published version in PRD
|
Phys. Rev. D 103, 105018 (2021)
|
10.1103/PhysRevD.103.105018
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note we discuss a non-relativistic system at large charge in a regime
where Schr\"odinger symmetry is slightly broken by an explicit mass term for
the dilaton field which non-linearly realizes non-relativistic scale
invariance. To get there, we first develop the large-charge formalism from the
linear sigma model perspective, including the harmonic trapping potential
necessary for the non-relativistic state-operator correspondence. As a
signature of the explicit breaking, we identify a $\sqrt{Q}\log{Q}$ term, which
depending on the space dimension is either of the same order as the effects
coming from the breakdown of the EFT at the edge of the particle cloud, or can
be distinguished from these effects over a large range of orders of magnitude.
|
[
{
"created": "Thu, 15 Oct 2020 18:00:01 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Apr 2021 07:19:18 GMT",
"version": "v2"
}
] |
2021-05-26
|
[
[
"Orlando",
"Domenico",
""
],
[
"Pellizzani",
"Vito",
""
],
[
"Reffert",
"Susanne",
""
]
] |
In this note we discuss a non-relativistic system at large charge in a regime where Schr\"odinger symmetry is slightly broken by an explicit mass term for the dilaton field which non-linearly realizes non-relativistic scale invariance. To get there, we first develop the large-charge formalism from the linear sigma model perspective, including the harmonic trapping potential necessary for the non-relativistic state-operator correspondence. As a signature of the explicit breaking, we identify a $\sqrt{Q}\log{Q}$ term, which depending on the space dimension is either of the same order as the effects coming from the breakdown of the EFT at the edge of the particle cloud, or can be distinguished from these effects over a large range of orders of magnitude.
| 12.855417
| 12.191926
| 13.547156
| 12.026548
| 12.975113
| 13.178064
| 11.676471
| 11.769258
| 11.667029
| 14.47804
| 11.878838
| 11.877829
| 12.034473
| 11.378618
| 11.708893
| 12.401672
| 12.061285
| 11.700069
| 11.984109
| 12.529591
| 11.694594
|
1611.00342
|
Edwin Ireson
|
Adi Armoni, Edwin Ireson
|
Holographic Corrections to Meson Scattering Amplitudes
|
29 pages, 5 figures. v2: minor edits as suggested by referee
| null |
10.1016/j.nuclphysb.2017.03.004
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute meson scattering amplitudes using the holographic duality between
confining gauge theories and string theory, in order to consider holographic
corrections to the Veneziano amplitude and associated higher-point functions.
The generic nature of such computations is explained, thanks to the
well-understood nature of confining string backgrounds, and two different
examples of the calculation in given backgrounds are used to illustrate the
details. The effect we discover, whilst only qualitative, is re-obtainable in
many such examples, in four-point but also higher point amplitudes.
|
[
{
"created": "Tue, 1 Nov 2016 19:28:20 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Nov 2016 15:38:31 GMT",
"version": "v2"
},
{
"created": "Tue, 28 Feb 2017 18:00:48 GMT",
"version": "v3"
}
] |
2017-04-26
|
[
[
"Armoni",
"Adi",
""
],
[
"Ireson",
"Edwin",
""
]
] |
We compute meson scattering amplitudes using the holographic duality between confining gauge theories and string theory, in order to consider holographic corrections to the Veneziano amplitude and associated higher-point functions. The generic nature of such computations is explained, thanks to the well-understood nature of confining string backgrounds, and two different examples of the calculation in given backgrounds are used to illustrate the details. The effect we discover, whilst only qualitative, is re-obtainable in many such examples, in four-point but also higher point amplitudes.
| 17.504158
| 16.804152
| 18.659647
| 17.472502
| 18.627052
| 17.76796
| 18.163399
| 16.192968
| 16.108234
| 20.730389
| 16.226147
| 16.613319
| 17.169403
| 16.142447
| 15.936551
| 16.783342
| 17.455864
| 16.654894
| 16.411615
| 17.593367
| 16.723196
|
2302.14152
|
F. Saueressig
|
Frank Saueressig
|
The Functional Renormalization Group in Quantum Gravity
|
44 pages, 4 figures, invited chapter for the "Handbook of Quantum
Gravity" (Eds. C. Bambi, L. Modesto and I.L. Shapiro, Springer Singapore,
expected in 2023)
| null | null | null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
The gravitational asymptotic safety program envisions a high-energy
completion of the gravitational interactions by an interacting renormalization
group fixed point, the Reuter fixed point. The primary tool for investigating
this scenario are functional renormalization group equations, foremost the
Wetterich equation. This equation implements the idea of the Wilsonian
renormalization group by integrating out quantum fluctuations shell-by-shell in
momentum space and gives access to the theory's renormalization group flow
beyond the realm of perturbation theory. This chapter gives a pedagogical
introduction to the gravitational asymptotic safety program with a specific
focus on clarifying conceptual points which led to confusion in the past. We
provide a step-by-step introduction to the Wetterich equation and its most
commonly used non-perturbative approximations. This exposition also introduces
recent developments including the minimal essential scheme and $N$-type
cutoffs. The use of the Wetterich equation in explicit computations is
illustrated within the Einstein-Hilbert truncation which constitutes the
simplest non-perturbative approximation of the gravitational renormalization
group flow. We conclude with a brief summary and comments on recent
developments originating from other quantum gravity programs.
|
[
{
"created": "Mon, 27 Feb 2023 21:18:44 GMT",
"version": "v1"
}
] |
2023-03-01
|
[
[
"Saueressig",
"Frank",
""
]
] |
The gravitational asymptotic safety program envisions a high-energy completion of the gravitational interactions by an interacting renormalization group fixed point, the Reuter fixed point. The primary tool for investigating this scenario are functional renormalization group equations, foremost the Wetterich equation. This equation implements the idea of the Wilsonian renormalization group by integrating out quantum fluctuations shell-by-shell in momentum space and gives access to the theory's renormalization group flow beyond the realm of perturbation theory. This chapter gives a pedagogical introduction to the gravitational asymptotic safety program with a specific focus on clarifying conceptual points which led to confusion in the past. We provide a step-by-step introduction to the Wetterich equation and its most commonly used non-perturbative approximations. This exposition also introduces recent developments including the minimal essential scheme and $N$-type cutoffs. The use of the Wetterich equation in explicit computations is illustrated within the Einstein-Hilbert truncation which constitutes the simplest non-perturbative approximation of the gravitational renormalization group flow. We conclude with a brief summary and comments on recent developments originating from other quantum gravity programs.
| 7.337899
| 6.982352
| 8.028131
| 6.794059
| 7.247917
| 7.19523
| 6.686633
| 6.696529
| 6.83306
| 7.797598
| 6.859443
| 7.237457
| 7.19506
| 7.172172
| 7.147529
| 7.027364
| 7.131083
| 7.105323
| 6.938564
| 7.514488
| 7.001877
|
hep-th/9803155
|
Fernando T. Brandt
|
F. T. Brandt and J. Frenkel
|
The structure of the graviton self-energy at finite temperature
|
27 pages, 6 figures
|
Phys.Rev. D58 (1998) 085012
|
10.1103/PhysRevD.58.085012
| null |
hep-th gr-qc hep-ph
| null |
We study the graviton self-energy function in a general gauge, using a hard
thermal loop expansion which includes terms proportional to T^4, T^2 and
log(T). We verify explicitly the gauge independence of the leading T^4 term and
obtain a compact expression for the sub-leading T^2 contribution. It is shown
that the logarithmic term has the same structure as the ultraviolet pole part
of the T=0 self-energy function. We argue that the gauge-dependent part of the
T^2 contribution is effectively canceled in the dispersion relations of the
graviton plasma, and present the solutions of these equations.
|
[
{
"created": "Thu, 19 Mar 1998 15:45:38 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Brandt",
"F. T.",
""
],
[
"Frenkel",
"J.",
""
]
] |
We study the graviton self-energy function in a general gauge, using a hard thermal loop expansion which includes terms proportional to T^4, T^2 and log(T). We verify explicitly the gauge independence of the leading T^4 term and obtain a compact expression for the sub-leading T^2 contribution. It is shown that the logarithmic term has the same structure as the ultraviolet pole part of the T=0 self-energy function. We argue that the gauge-dependent part of the T^2 contribution is effectively canceled in the dispersion relations of the graviton plasma, and present the solutions of these equations.
| 8.696513
| 8.24423
| 7.552834
| 8.065939
| 7.623221
| 8.321242
| 7.390028
| 8.34829
| 7.943048
| 8.907346
| 8.101608
| 7.883868
| 8.080194
| 8.343839
| 8.541203
| 8.683684
| 8.328423
| 8.289352
| 7.975616
| 8.188465
| 8.433427
|
1101.5781
|
Manuela Kulaxizi
|
Jan de Boer, Manuela Kulaxizi, Andrei Parnachev
|
Holographic Entanglement Entropy in Lovelock Gravities
|
harvmac, 30 pages, 1 figure, References added, typos corrected
|
JHEP 1107 (2011) 109
|
10.1007/JHEP07(2011)109
|
ICCUB-11-018
|
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study entanglement entropies of simply connected surfaces in field
theories dual to Lovelock gravities. We consider Gauss-Bonnet and cubic
Lovelock gravities in detail. In the conformal case the logarithmic terms in
the entanglement entropy are governed by the conformal anomalies of the CFT; we
verify that the holographic calculations are consistent with this property. We
also compute the holographic entanglement entropy of a slab in the Gauss-Bonnet
examples dual to relativistic and non-relativistic CFTs and discuss its
properties. Finally, we discuss features of the entanglement entropy in the
backgrounds dual to renormalization group flows between fixed points and
comment on the implications for a possible c-theorem in four spacetime
dimensions.
|
[
{
"created": "Sun, 30 Jan 2011 16:09:47 GMT",
"version": "v1"
},
{
"created": "Tue, 17 May 2011 14:27:00 GMT",
"version": "v2"
}
] |
2011-12-13
|
[
[
"de Boer",
"Jan",
""
],
[
"Kulaxizi",
"Manuela",
""
],
[
"Parnachev",
"Andrei",
""
]
] |
We study entanglement entropies of simply connected surfaces in field theories dual to Lovelock gravities. We consider Gauss-Bonnet and cubic Lovelock gravities in detail. In the conformal case the logarithmic terms in the entanglement entropy are governed by the conformal anomalies of the CFT; we verify that the holographic calculations are consistent with this property. We also compute the holographic entanglement entropy of a slab in the Gauss-Bonnet examples dual to relativistic and non-relativistic CFTs and discuss its properties. Finally, we discuss features of the entanglement entropy in the backgrounds dual to renormalization group flows between fixed points and comment on the implications for a possible c-theorem in four spacetime dimensions.
| 6.661562
| 5.648131
| 7.348646
| 6.339056
| 6.399069
| 6.168221
| 5.942084
| 6.20746
| 6.025721
| 8.018909
| 5.79104
| 6.247862
| 6.987344
| 6.334319
| 6.319299
| 6.201024
| 6.069017
| 6.187839
| 6.384953
| 6.881401
| 6.161791
|
hep-th/9809001
|
Andreas Fring
|
A. G. Bytsko, A. Fring
|
Factorized Combinations of Virasoro Characters
|
25 pages (LaTex), minor corrections, one reference added
|
Commun.Math.Phys. 209 (2000) 179-205
|
10.1007/s002200050019
|
SFB-288-343 Berlin (1998)
|
hep-th math-ph math.MP
| null |
We investigate linear combinations of characters for minimal Virasoro models
which are representable as a products of several basic blocks. Our analysis is
based on consideration of asymptotic behaviour of the characters in the
quasi-classical limit. In particular, we introduce a notion of the secondary
effective central charge. We find all possible cases for which factorization
occurs on the base of the Gauss-Jacobi or the Watson identities. Exploiting
these results, we establish various types of identities between different
characters. In particular, we present several identities generalizing the
Rogers-Ramanujan identities. Applications to quasi-particle representations,
modular invariant partition functions, super-conformal theories and conformal
models with boundaries are briefly discussed.
|
[
{
"created": "Tue, 1 Sep 1998 11:05:36 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Oct 1998 14:46:23 GMT",
"version": "v2"
},
{
"created": "Fri, 3 Dec 1999 14:50:05 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Bytsko",
"A. G.",
""
],
[
"Fring",
"A.",
""
]
] |
We investigate linear combinations of characters for minimal Virasoro models which are representable as a products of several basic blocks. Our analysis is based on consideration of asymptotic behaviour of the characters in the quasi-classical limit. In particular, we introduce a notion of the secondary effective central charge. We find all possible cases for which factorization occurs on the base of the Gauss-Jacobi or the Watson identities. Exploiting these results, we establish various types of identities between different characters. In particular, we present several identities generalizing the Rogers-Ramanujan identities. Applications to quasi-particle representations, modular invariant partition functions, super-conformal theories and conformal models with boundaries are briefly discussed.
| 12.614871
| 12.830489
| 15.381541
| 11.705965
| 12.455646
| 12.263763
| 12.286688
| 11.194552
| 12.482644
| 15.945854
| 11.236502
| 11.869211
| 12.957326
| 11.776755
| 12.223689
| 11.730827
| 11.848664
| 11.895037
| 11.878953
| 12.29917
| 11.20853
|
1508.04141
|
Jerome Quintin
|
Jerome Quintin, Zeinab Sherkatghanad, Yi-Fu Cai, Robert H.
Brandenberger
|
Evolution of cosmological perturbations and the production of
non-Gaussianities through a nonsingular bounce: Indications for a no-go
theorem in single field matter bounce cosmologies
|
31 pages, 2 figures; v2: minor changes, references added, matches
published version
|
Phys. Rev. D 92, 063532 (2015)
|
10.1103/PhysRevD.92.063532
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Assuming that curvature perturbations and gravitational waves originally
arise from vacuum fluctuations in a matter-dominated phase of contraction, we
study the dynamics of the cosmological perturbations evolving through a
nonsingular bouncing phase described by a generic single scalar field
Lagrangian minimally coupled to Einstein gravity. In order for such a model to
be consistent with the current upper limits on the tensor-to-scalar ratio,
there must be an enhancement of the curvature fluctuations during the bounce
phase. We show that, while it remains possible to enlarge the amplitude of
curvature perturbations due to the nontrivial background evolution, this growth
is very limited because of the conservation of curvature perturbations on
super-Hubble scales. We further perform a general analysis of the evolution of
primordial non-Gaussianities through the bounce phase. By studying the general
form of the bispectrum we show that the non-Gaussianity parameter
$f_{\mathrm{NL}}$ (which is of order unity before the bounce phase) is enhanced
during the bounce phase if the curvature fluctuations grow. Hence, in such
nonsingular bounce models with matter given by a single scalar field, there
appears to be a tension between obtaining a small enough tensor-to-scalar ratio
and not obtaining a value of $f_{\mathrm{NL}}$ in excess of the current upper
bounds. This conclusion may be considered as a "no-go" theorem that rules out
any single field matter bounce cosmology starting with vacuum initial
conditions for the fluctuations.
|
[
{
"created": "Mon, 17 Aug 2015 20:04:57 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Sep 2015 15:13:47 GMT",
"version": "v2"
}
] |
2015-10-01
|
[
[
"Quintin",
"Jerome",
""
],
[
"Sherkatghanad",
"Zeinab",
""
],
[
"Cai",
"Yi-Fu",
""
],
[
"Brandenberger",
"Robert H.",
""
]
] |
Assuming that curvature perturbations and gravitational waves originally arise from vacuum fluctuations in a matter-dominated phase of contraction, we study the dynamics of the cosmological perturbations evolving through a nonsingular bouncing phase described by a generic single scalar field Lagrangian minimally coupled to Einstein gravity. In order for such a model to be consistent with the current upper limits on the tensor-to-scalar ratio, there must be an enhancement of the curvature fluctuations during the bounce phase. We show that, while it remains possible to enlarge the amplitude of curvature perturbations due to the nontrivial background evolution, this growth is very limited because of the conservation of curvature perturbations on super-Hubble scales. We further perform a general analysis of the evolution of primordial non-Gaussianities through the bounce phase. By studying the general form of the bispectrum we show that the non-Gaussianity parameter $f_{\mathrm{NL}}$ (which is of order unity before the bounce phase) is enhanced during the bounce phase if the curvature fluctuations grow. Hence, in such nonsingular bounce models with matter given by a single scalar field, there appears to be a tension between obtaining a small enough tensor-to-scalar ratio and not obtaining a value of $f_{\mathrm{NL}}$ in excess of the current upper bounds. This conclusion may be considered as a "no-go" theorem that rules out any single field matter bounce cosmology starting with vacuum initial conditions for the fluctuations.
| 5.971464
| 6.423502
| 5.978669
| 5.71559
| 6.386119
| 6.231841
| 5.824363
| 5.965973
| 5.99247
| 6.280223
| 5.781997
| 5.807273
| 5.814251
| 5.792633
| 5.831236
| 5.750848
| 5.684764
| 5.739017
| 5.887026
| 5.954797
| 5.66462
|
1306.3211
|
Andrei Linde
|
Renata Kallosh and Andrei Linde
|
Superconformal Generalization of the Chaotic Inflation Model \lambda
\phi^4/4 - \xi/ 2 \phi^2 R
|
21 pages, 1 figure, references added
| null |
10.1088/1475-7516/2013/06/027
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A model of chaotic inflation based on the theory of a scalar field with
potential \lambda\phi^4 perfectly matches the observational data if one adds to
it a tiny non-minimal coupling to gravity -\xi/2 \phi^2 R with \xi > 0.002. We
describe embedding of this model into the superconformal theory with
spontaneous breaking of superconformal symmetry, and into supergravity. A model
with small \xi is technically natural: setting the small parameter \xi to zero
leads to a point of enhanced symmetry in the underlying superconformal theory.
|
[
{
"created": "Thu, 13 Jun 2013 19:51:27 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Jun 2013 15:47:21 GMT",
"version": "v2"
}
] |
2015-06-16
|
[
[
"Kallosh",
"Renata",
""
],
[
"Linde",
"Andrei",
""
]
] |
A model of chaotic inflation based on the theory of a scalar field with potential \lambda\phi^4 perfectly matches the observational data if one adds to it a tiny non-minimal coupling to gravity -\xi/2 \phi^2 R with \xi > 0.002. We describe embedding of this model into the superconformal theory with spontaneous breaking of superconformal symmetry, and into supergravity. A model with small \xi is technically natural: setting the small parameter \xi to zero leads to a point of enhanced symmetry in the underlying superconformal theory.
| 9.283075
| 8.881135
| 9.397349
| 8.360389
| 8.984476
| 9.492971
| 9.196204
| 9.383154
| 8.664792
| 9.134862
| 9.399776
| 8.390995
| 8.573705
| 8.381944
| 8.370375
| 8.554524
| 8.264498
| 8.470104
| 8.843958
| 8.936166
| 8.299351
|
hep-th/0102202
|
Ignatios Antoniadis
|
I. Antoniadis
|
String and D-brane Physics at Low Energy
|
53 pages, Latex, 7 eps-figures, references and acknowledgments added.
Based on lectures given at Centre Emile Borel during the semester
"Supergravity, Superstrings and M-theory", at the "LNF-INFN Spring School in
Nuclear, Subnuclear and Astropartcle Physics", Frascati, at the Glasgow
"Workshop on Phenomenology of Extra Dimensions", at the "NATO ASI school on
Recent Developments in Particle Physics and Cosmology", Portugal, at the
"38th Course on Theory and Experiment Heading for New Physics", Erice, and at
the "RTN Workshop on the Quantum Structure of Spacetime", Berlin
| null | null |
CERN-TH/2001-065; 0023/IHP
|
hep-th
| null |
1. Preliminaries.
2. Heterotic string and motivations for large volume compactifications;
2.1 Gauge coupling unification; 2.2 Supersymmetry breaking by
compactification.
3. M-theory on S^1/Z_2 \times Calabi-Yau.
4. Type I/I' string theory and D-branes;
4.1 Low-scale strings and extra-large transverse dimensions; 4.2 Relation
type I/I' -- heterotic.
5. Type II theories;
5.1 Low-scale IIA strings and tiny coupling; 5.2 Large dimensions in type
IIB; 5.3 Relation type II -- heterotic.
6. Theoretical implications;
6.1 U.V./I.R. correspondence; 6.2 Unification ; 6.3 Supersymmetry breaking
and scales hierarchy ; 6.4 Electroweak symmetry breaking in TeV-scale strings.
7. Scenarios for studies of experimental constraints.
8. Extra-dimensions along the world brane: KK excitations of gauge bosons;
8.1 Production at hadron colliders; 8.2 High precision data low-energy
bounds; 8.3 One extra dimension for other cases; 8.4 More than one extra
dimension.
9. Extra-dimensions transverse to the brane world: KK excitations of
gravitons;
9.1 Signals from missing energy experiments; 9.2 Gravity modification and
sub-millimeter forces.
10. Dimension-eight operators and limits on the string scale.
11. D-brane Standard Model;
11.1 Hypercharge embedding and the weak angle; 11.2 The fate of U(1)'s and
proton stability.
12. Appendix: Supersymmetry breaking in type I strings;
12.1 Scherk-Schwarz deformations; 12.2 Brane supersymmetry breaking.
|
[
{
"created": "Wed, 28 Feb 2001 10:25:01 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Mar 2001 18:28:13 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Antoniadis",
"I.",
""
]
] |
1. Preliminaries. 2. Heterotic string and motivations for large volume compactifications; 2.1 Gauge coupling unification; 2.2 Supersymmetry breaking by compactification. 3. M-theory on S^1/Z_2 \times Calabi-Yau. 4. Type I/I' string theory and D-branes; 4.1 Low-scale strings and extra-large transverse dimensions; 4.2 Relation type I/I' -- heterotic. 5. Type II theories; 5.1 Low-scale IIA strings and tiny coupling; 5.2 Large dimensions in type IIB; 5.3 Relation type II -- heterotic. 6. Theoretical implications; 6.1 U.V./I.R. correspondence; 6.2 Unification ; 6.3 Supersymmetry breaking and scales hierarchy ; 6.4 Electroweak symmetry breaking in TeV-scale strings. 7. Scenarios for studies of experimental constraints. 8. Extra-dimensions along the world brane: KK excitations of gauge bosons; 8.1 Production at hadron colliders; 8.2 High precision data low-energy bounds; 8.3 One extra dimension for other cases; 8.4 More than one extra dimension. 9. Extra-dimensions transverse to the brane world: KK excitations of gravitons; 9.1 Signals from missing energy experiments; 9.2 Gravity modification and sub-millimeter forces. 10. Dimension-eight operators and limits on the string scale. 11. D-brane Standard Model; 11.1 Hypercharge embedding and the weak angle; 11.2 The fate of U(1)'s and proton stability. 12. Appendix: Supersymmetry breaking in type I strings; 12.1 Scherk-Schwarz deformations; 12.2 Brane supersymmetry breaking.
| 5.862731
| 6.437823
| 5.839873
| 5.675838
| 6.561077
| 6.58493
| 6.054778
| 6.012248
| 5.914218
| 6.187749
| 6.153741
| 5.899374
| 5.687415
| 5.743427
| 5.805154
| 5.87693
| 5.846348
| 5.822179
| 5.682155
| 5.852324
| 5.867255
|
0705.0663
|
Matteo Beccaria
|
Matteo Beccaria
|
Universality of three gaugino anomalous dimensions in N=4 SYM
|
13 pages, JHEP style
|
JHEP 0706:054,2007
|
10.1088/1126-6708/2007/06/054
| null |
hep-th
| null |
We study maximal helicity three gaugino operators in N=4 Super Yang-Mills
theory. We show that the lowest anomalous dimension of scaling operators with
generic finite spin can be expressed in terms of the universal anomalous
dimension appearing at twist-2. This statement is rigourously proved at three
loops. The reason for this universality between sectors with different twist is
the hidden psu(1|1) invariance of the su(2|1) subsector of the theory.
|
[
{
"created": "Fri, 4 May 2007 16:15:54 GMT",
"version": "v1"
},
{
"created": "Sat, 5 May 2007 16:28:26 GMT",
"version": "v2"
}
] |
2009-11-13
|
[
[
"Beccaria",
"Matteo",
""
]
] |
We study maximal helicity three gaugino operators in N=4 Super Yang-Mills theory. We show that the lowest anomalous dimension of scaling operators with generic finite spin can be expressed in terms of the universal anomalous dimension appearing at twist-2. This statement is rigourously proved at three loops. The reason for this universality between sectors with different twist is the hidden psu(1|1) invariance of the su(2|1) subsector of the theory.
| 12.379321
| 9.846124
| 12.20236
| 10.403662
| 10.052302
| 11.086257
| 10.853399
| 10.273776
| 10.564259
| 14.4042
| 9.966159
| 10.316581
| 12.077345
| 10.9244
| 10.86312
| 10.189524
| 10.834376
| 10.568337
| 10.679609
| 12.140593
| 10.117214
|
1710.06242
|
Tomasz Lukowski
|
Johan Henriksson and Tomasz Lukowski
|
Perturbative Four-Point Functions from the Analytic Conformal Bootstrap
|
35 pages, 1 figure
| null |
10.1007/JHEP02(2018)123
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We apply the analytic conformal bootstrap method to study weakly coupled
conformal gauge theories in four dimensions. We employ twist conformal blocks
to find the most general form of the one-loop four-point correlation function
of identical scalar operators, without any reference to Feynman calculations.
The method relies only on symmetries of the model. In particular, it does not
require introducing any regularisation and it is free from the redundancies
usually associated with the Feynman approach. By supplementing the general
solution with known data for a small number of operators, we recover explicit
forms of one-loop correlation functions of four Konishi operators as well as of
four half-BPS operators $\mathcal{O}_{20'}$ in $\mathcal{N}=4$ super
Yang-Mills.
|
[
{
"created": "Tue, 17 Oct 2017 12:53:35 GMT",
"version": "v1"
}
] |
2018-04-04
|
[
[
"Henriksson",
"Johan",
""
],
[
"Lukowski",
"Tomasz",
""
]
] |
We apply the analytic conformal bootstrap method to study weakly coupled conformal gauge theories in four dimensions. We employ twist conformal blocks to find the most general form of the one-loop four-point correlation function of identical scalar operators, without any reference to Feynman calculations. The method relies only on symmetries of the model. In particular, it does not require introducing any regularisation and it is free from the redundancies usually associated with the Feynman approach. By supplementing the general solution with known data for a small number of operators, we recover explicit forms of one-loop correlation functions of four Konishi operators as well as of four half-BPS operators $\mathcal{O}_{20'}$ in $\mathcal{N}=4$ super Yang-Mills.
| 7.457361
| 7.267858
| 8.270611
| 7.276298
| 7.205226
| 7.363479
| 7.458386
| 7.845066
| 7.33908
| 8.742169
| 7.050756
| 7.302188
| 7.481511
| 7.078625
| 7.226734
| 7.311647
| 7.277816
| 7.413883
| 7.216185
| 7.352042
| 7.196352
|
1403.3302
|
Michael Seifert
|
Michael D. Seifert
|
Lorentz violation and topological defects
|
4 pages. Presented at the Sixth Meeting on CPT and Lorentz Symmetry,
Bloomington, Indiana, June 17-21, 2013
| null |
10.1142/9789814566438_0053
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
If Lorentz symmetry is broken, it must have occurred dynamically, via a
vector or tensor field whose potential energy forces it to take on a non-zero
background expectation value "in vacuum". If the set of minima of this
potential (the vacuum manifold) has a non-trivial topology, then there can
arise topological defects: stable solutions in which the field approaches
different potential minima as we go to infinity in different directions. I
discuss the current status of research into these topological defects in the
context of Lorentz symmetry breaking, including recent results concerning the
birefringent light-bending of monopole solutions, and the search for models
supporting cosmic-string and domain-wall defects.
|
[
{
"created": "Thu, 13 Mar 2014 15:34:56 GMT",
"version": "v1"
}
] |
2017-08-23
|
[
[
"Seifert",
"Michael D.",
""
]
] |
If Lorentz symmetry is broken, it must have occurred dynamically, via a vector or tensor field whose potential energy forces it to take on a non-zero background expectation value "in vacuum". If the set of minima of this potential (the vacuum manifold) has a non-trivial topology, then there can arise topological defects: stable solutions in which the field approaches different potential minima as we go to infinity in different directions. I discuss the current status of research into these topological defects in the context of Lorentz symmetry breaking, including recent results concerning the birefringent light-bending of monopole solutions, and the search for models supporting cosmic-string and domain-wall defects.
| 10.358159
| 10.382248
| 10.558093
| 9.539071
| 11.050064
| 10.843545
| 10.302737
| 11.10349
| 9.513958
| 10.111494
| 9.369394
| 9.058639
| 10.034894
| 9.331774
| 9.336372
| 9.674516
| 9.320354
| 9.479375
| 9.333688
| 9.486827
| 9.707378
|
hep-th/0510089
|
Shahar Hod
|
Shahar Hod
|
Unruh radiation: from black holes to elementary particles
|
2 pages
| null | null | null |
hep-th
| null |
We advocate the idea that Unruh's quantum radiation, whose theoretical
discovery was originally motivated by the physics of black holes, may have
important implications on the structure and dynamics of elementary particles.
To that end, we analyze the Unruh radiation effect experienced by an
accelerated particle in atomic and nuclear systems. For atomic systems, the
effect is negligible as compared to the characteristic energy of the system. On
the other hand, it is found that a quark inside a nucleon may experience Unruh
radiation whose energy is of the same order of magnitude as the quark's own
mass.
|
[
{
"created": "Tue, 11 Oct 2005 16:37:39 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Nov 2005 06:38:45 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Hod",
"Shahar",
""
]
] |
We advocate the idea that Unruh's quantum radiation, whose theoretical discovery was originally motivated by the physics of black holes, may have important implications on the structure and dynamics of elementary particles. To that end, we analyze the Unruh radiation effect experienced by an accelerated particle in atomic and nuclear systems. For atomic systems, the effect is negligible as compared to the characteristic energy of the system. On the other hand, it is found that a quark inside a nucleon may experience Unruh radiation whose energy is of the same order of magnitude as the quark's own mass.
| 8.160278
| 7.777678
| 7.337821
| 7.176214
| 7.747363
| 7.593122
| 7.445793
| 6.993296
| 7.263093
| 7.461513
| 7.164679
| 7.454705
| 7.469584
| 7.478319
| 7.485205
| 7.660012
| 7.40205
| 7.221844
| 7.501192
| 7.512716
| 7.224676
|
hep-th/0603065
|
Paul Frampton
|
Edoardo Di Napoli and Paul H. Frampton
|
Anomaly Cancellation and Conformality in Quiver Gauge Theories
|
15 pages. minor clarifications
|
Phys.Lett.B638:374-381,2006
|
10.1016/j.physletb.2006.04.056
| null |
hep-th
| null |
Abelian quiver gauge theories provide nonsupersymmetric candidates for the
conformality approach to physics beyond the standard model. Written as ${\cal
N}=0$, $U(N)^n$ gauge theories, however, they have mixed $U(1)_p U(1)_q^2$ and
$U(1)_p SU(N)_q^2$ triangle anomalies. It is shown how to construct explicitly
a compensatory term $\Delta{\cal L}_{comp}$ which restores gauge invariance of
${\cal L}_{eff} = {\cal L} + \Delta {\cal L}_{comp}$ under $U(N)^n$. It can
lead to a negative contribution to the U(1) $\beta$-function and hence to
one-loop conformality at high energy for all dimensionless couplings.
|
[
{
"created": "Wed, 8 Mar 2006 16:47:50 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Apr 2006 22:17:04 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Di Napoli",
"Edoardo",
""
],
[
"Frampton",
"Paul H.",
""
]
] |
Abelian quiver gauge theories provide nonsupersymmetric candidates for the conformality approach to physics beyond the standard model. Written as ${\cal N}=0$, $U(N)^n$ gauge theories, however, they have mixed $U(1)_p U(1)_q^2$ and $U(1)_p SU(N)_q^2$ triangle anomalies. It is shown how to construct explicitly a compensatory term $\Delta{\cal L}_{comp}$ which restores gauge invariance of ${\cal L}_{eff} = {\cal L} + \Delta {\cal L}_{comp}$ under $U(N)^n$. It can lead to a negative contribution to the U(1) $\beta$-function and hence to one-loop conformality at high energy for all dimensionless couplings.
| 7.920305
| 8.113967
| 7.984754
| 7.619778
| 8.233821
| 8.090672
| 8.801242
| 7.67028
| 7.41876
| 8.056684
| 7.685417
| 7.47282
| 7.406585
| 7.286175
| 7.29627
| 7.711956
| 7.367647
| 7.20481
| 7.346115
| 7.146824
| 7.417796
|
2201.11801
|
Ben Gripaios
|
Ben Gripaios
|
Gauge anomalies of finite groups
|
4 pp; v2 - added a discussion of potential further anomalies
| null |
10.1103/PhysRevD.105.105008
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We show how the theory of characters can be used to analyse an anomaly
corresponding to chiral fermions carrying an arbitrary representation of a
gauge group that is finite, but otherwise arbitrary. By way of example, we do
this for some groups of relevance for the study of quark and lepton masses and
mixings.
|
[
{
"created": "Thu, 27 Jan 2022 20:28:47 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Feb 2022 11:22:55 GMT",
"version": "v2"
}
] |
2022-05-25
|
[
[
"Gripaios",
"Ben",
""
]
] |
We show how the theory of characters can be used to analyse an anomaly corresponding to chiral fermions carrying an arbitrary representation of a gauge group that is finite, but otherwise arbitrary. By way of example, we do this for some groups of relevance for the study of quark and lepton masses and mixings.
| 12.040762
| 9.794313
| 10.184276
| 9.932474
| 10.740141
| 9.774338
| 10.432552
| 10.188486
| 11.295259
| 10.190989
| 10.576672
| 10.02917
| 10.719448
| 9.851243
| 10.07934
| 10.076859
| 10.09711
| 9.819109
| 9.942021
| 10.333138
| 10.222583
|
1411.4330
|
Stefano Finazzo
|
S. I. Finazzo and J. Noronha
|
Debye screening mass near deconfinement from holography
|
48 pages, 16 figures, updated references
|
Phys. Rev. D 90, 115028 (2014)
|
10.1103/PhysRevD.90.115028
| null |
hep-th hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper the smallest thermal screening mass associated with the
correlator of the $CT$-odd operator, $\sim {\rm
Tr}F_{\mu\nu}\tilde{F}^{\mu\nu}$, is determined in strongly coupled non-Abelian
gauge plasmas which are holographically dual to non-conformal, bottom-up
Einstein+scalar gravity theories. These holographic models are constructed to
describe the thermodynamical properties of $SU(N_c)$ plasmas near deconfinement
at large $N_c$ and we identify this thermal mass with the Debye screening mass
$m_D$. In this class of non-conformal models with a first order deconfinement
transition at $T_c$, $m_D/T$ displays the same behavior found for the
expectation value of the Polyakov loop (which we also compute) jumping from
zero below $T_c$ to a nonzero value just above the transition. In the case of a
crossover phase transition, $m_D/T$ has a minimum similar to that found for the
speed of sound squared $c_s^2$. This holographic framework is also used to
evaluate $m_D$ as a function of $\eta/s$ in a strongly coupled conformal gauge
plasma dual to Gauss-Bonnet gravity. In this case, $m_D/T$ decreases with
increasing $\eta/s$ in accordance with extrapolations from weak coupling
calculations.
|
[
{
"created": "Sun, 16 Nov 2014 23:40:39 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Jan 2015 19:48:42 GMT",
"version": "v2"
}
] |
2015-01-08
|
[
[
"Finazzo",
"S. I.",
""
],
[
"Noronha",
"J.",
""
]
] |
In this paper the smallest thermal screening mass associated with the correlator of the $CT$-odd operator, $\sim {\rm Tr}F_{\mu\nu}\tilde{F}^{\mu\nu}$, is determined in strongly coupled non-Abelian gauge plasmas which are holographically dual to non-conformal, bottom-up Einstein+scalar gravity theories. These holographic models are constructed to describe the thermodynamical properties of $SU(N_c)$ plasmas near deconfinement at large $N_c$ and we identify this thermal mass with the Debye screening mass $m_D$. In this class of non-conformal models with a first order deconfinement transition at $T_c$, $m_D/T$ displays the same behavior found for the expectation value of the Polyakov loop (which we also compute) jumping from zero below $T_c$ to a nonzero value just above the transition. In the case of a crossover phase transition, $m_D/T$ has a minimum similar to that found for the speed of sound squared $c_s^2$. This holographic framework is also used to evaluate $m_D$ as a function of $\eta/s$ in a strongly coupled conformal gauge plasma dual to Gauss-Bonnet gravity. In this case, $m_D/T$ decreases with increasing $\eta/s$ in accordance with extrapolations from weak coupling calculations.
| 6.39018
| 6.01252
| 5.836886
| 5.667453
| 6.031608
| 6.421863
| 5.995184
| 5.91069
| 5.585071
| 6.235609
| 6.097034
| 5.777882
| 5.795308
| 5.713493
| 5.802658
| 5.70108
| 5.75397
| 5.662082
| 5.756877
| 5.904499
| 5.843002
|
0707.0497
|
Alexander Westphal
|
Marco Serone and Alexander Westphal
|
Moduli Stabilization in Meta-Stable Heterotic Supergravity Vacua
|
1+31 pages, LaTeX, uses JHEP3 class, v2: references corrected and
added, version published in JHEP
|
JHEP0708:080,2007
|
10.1088/1126-6708/2007/08/080
|
SISSA-38/2007/EP
|
hep-th hep-ph
| null |
We revisit the issue of moduli stabilization in a class of N=1 four
dimensional supergravity theories which are low energy descriptions of standard
perturbative heterotic string vacua compactified on Calabi-Yau spaces. In
particular, we show how it is possible to stabilize the universal dilaton and
Kahler moduli in a de Sitter/Minkowski vacuum with low energy supersymmetry
breaking by means of non-perturbative gauge dynamics, including recent results
by Intriligator, Seiberg and Shih. The non-SUSY vacua are meta-stable but
sufficiently long-lived.
|
[
{
"created": "Tue, 3 Jul 2007 20:51:44 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Sep 2007 10:09:22 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Serone",
"Marco",
""
],
[
"Westphal",
"Alexander",
""
]
] |
We revisit the issue of moduli stabilization in a class of N=1 four dimensional supergravity theories which are low energy descriptions of standard perturbative heterotic string vacua compactified on Calabi-Yau spaces. In particular, we show how it is possible to stabilize the universal dilaton and Kahler moduli in a de Sitter/Minkowski vacuum with low energy supersymmetry breaking by means of non-perturbative gauge dynamics, including recent results by Intriligator, Seiberg and Shih. The non-SUSY vacua are meta-stable but sufficiently long-lived.
| 6.327643
| 5.635313
| 5.918545
| 5.611888
| 5.370507
| 5.407131
| 5.513089
| 5.549439
| 5.2288
| 6.073053
| 5.481269
| 5.534444
| 5.828279
| 5.600654
| 5.711709
| 5.973061
| 5.781921
| 5.769392
| 5.526881
| 5.909783
| 5.831139
|
1412.7681
|
Muneto Nitta
|
Muneto Nitta
|
Fractional instantons and bions in the O(N) model with twisted boundary
conditions
|
43 pages, 16 figures, v2: a reference added, published version
|
JHEP 03 (2015) 108
|
10.1007/JHEP03(2015)108
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently, multiple fractional instanton configurations with zero instanton
charge, called bions, have been revealed to play important roles in quantum
field theories on compactified spacetime. In two dimensions, fractional
instantons and bions have been extensively studied in the ${\mathbb C}P^{N-1}$
model and the Grassmann sigma model on ${\mathbb R}^1 \times S^1$ with the
${\mathbb Z}_N$ symmetric twisted boundary condition. Fractional instantons in
these models are domain walls with a localized $U(1)$ modulus twisted half
along their world volume. In this paper, we classify fractional instantons and
bions in the $O(N)$ nonlinear sigma model on ${\mathbb R}^{N-2} \times S^1$
with more general twisted boundary conditions in which arbitrary number of
fields change sign. We find that fractional instantons have more general
composite structures, that is, a global vortex with an Ising spin (or a
half-lump vortex), a half sine-Gordon kink on a domain wall, or a half lump on
a "space-filling brane" in the $O(3)$ model (${\mathbb C}P^1$ model) on
${\mathbb R}^{1} \times S^1$, and a global monopole with an Ising spin (or a
half-Skyrmion monopole), a half sine-Gordon kink on a global vortex, a half
lump on a domain wall, or a half Skyrmion on a "space-filling brane" in the
$O(4)$ model (principal chiral model or Skyrme model) on ${\mathbb R}^{2}
\times S^1$. We also construct bion configurations in these models.
|
[
{
"created": "Tue, 23 Dec 2014 17:13:54 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Mar 2015 15:11:09 GMT",
"version": "v2"
}
] |
2015-03-24
|
[
[
"Nitta",
"Muneto",
""
]
] |
Recently, multiple fractional instanton configurations with zero instanton charge, called bions, have been revealed to play important roles in quantum field theories on compactified spacetime. In two dimensions, fractional instantons and bions have been extensively studied in the ${\mathbb C}P^{N-1}$ model and the Grassmann sigma model on ${\mathbb R}^1 \times S^1$ with the ${\mathbb Z}_N$ symmetric twisted boundary condition. Fractional instantons in these models are domain walls with a localized $U(1)$ modulus twisted half along their world volume. In this paper, we classify fractional instantons and bions in the $O(N)$ nonlinear sigma model on ${\mathbb R}^{N-2} \times S^1$ with more general twisted boundary conditions in which arbitrary number of fields change sign. We find that fractional instantons have more general composite structures, that is, a global vortex with an Ising spin (or a half-lump vortex), a half sine-Gordon kink on a domain wall, or a half lump on a "space-filling brane" in the $O(3)$ model (${\mathbb C}P^1$ model) on ${\mathbb R}^{1} \times S^1$, and a global monopole with an Ising spin (or a half-Skyrmion monopole), a half sine-Gordon kink on a global vortex, a half lump on a domain wall, or a half Skyrmion on a "space-filling brane" in the $O(4)$ model (principal chiral model or Skyrme model) on ${\mathbb R}^{2} \times S^1$. We also construct bion configurations in these models.
| 4.635227
| 4.548671
| 5.001756
| 4.358244
| 4.944596
| 4.845178
| 4.794981
| 4.652177
| 4.561658
| 5.494015
| 4.556235
| 4.476924
| 4.573319
| 4.471887
| 4.543964
| 4.6309
| 4.568676
| 4.501661
| 4.483759
| 4.608305
| 4.523756
|
1707.08903
|
Andrei Dubikovsky
|
A.I. Dubikovsky, P.K. Silaev
|
On the possibility of the implicit renormalization procedure for the
Casimir energy
| null |
Mod. Phys. Lett. A, Vol. 33, No. 22 (2018) 1850129
|
10.1142/S0217732318501298
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a procedure for the renormalization of Casimir energy, that is
based on the implicit versions of standard steps of renormalization procedure
--- regularization, subtraction and removing the regularization. The proposed
procedure is based on the calculation of a set of convergent sums, which are
related to the original divergent sum for the non-renormalized Casimir energy.
Then one constructs a linear equations system, that connects this set of
convergent sums with the renormalized Casimir energy, which is a solution to
this equations system. This procedure slightly reduces the indeterminancy that
arises in standard procedure when we choose the particular regularization and
the explicit form of counterterm. The proposed procedure is more efficient from
the computational point of view than the standard one. It can be applied not
only for systems with the explicit transcendental equation for the spectrum,
but also for systems with the spectrum that can be obtained only numerically.
|
[
{
"created": "Thu, 27 Jul 2017 15:10:54 GMT",
"version": "v1"
}
] |
2018-07-06
|
[
[
"Dubikovsky",
"A. I.",
""
],
[
"Silaev",
"P. K.",
""
]
] |
We propose a procedure for the renormalization of Casimir energy, that is based on the implicit versions of standard steps of renormalization procedure --- regularization, subtraction and removing the regularization. The proposed procedure is based on the calculation of a set of convergent sums, which are related to the original divergent sum for the non-renormalized Casimir energy. Then one constructs a linear equations system, that connects this set of convergent sums with the renormalized Casimir energy, which is a solution to this equations system. This procedure slightly reduces the indeterminancy that arises in standard procedure when we choose the particular regularization and the explicit form of counterterm. The proposed procedure is more efficient from the computational point of view than the standard one. It can be applied not only for systems with the explicit transcendental equation for the spectrum, but also for systems with the spectrum that can be obtained only numerically.
| 9.024704
| 8.501486
| 8.442173
| 7.853992
| 8.09138
| 8.110797
| 8.759729
| 8.173262
| 8.600129
| 9.542454
| 8.362962
| 8.236758
| 8.551341
| 8.057834
| 8.149934
| 8.081378
| 8.240557
| 8.1666
| 8.502161
| 8.747462
| 8.311709
|
1603.03020
|
Gustavo Joaquin Turiaci
|
Gustavo Turiaci and Herman Verlinde
|
On CFT and Quantum Chaos
|
26 pages, 2 figures. References added
|
JHEP 1612 (2016) 110
|
10.1007/JHEP12(2016)110
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We make three observations that help clarify the relation between CFT and
quantum chaos. We show that any 1+1-D system in which conformal symmetry is
non-linearly realized exhibits two main characteristics of chaos: maximal
Lyapunov behavior and a spectrum of Ruelle resonances. We use this insight to
identify a lattice model for quantum chaos, built from parafermionic spin
variables with an equation of motion given by a Y-system. Finally we point to a
relation between the spectrum of Ruelle resonances of a CFT and the analytic
properties of OPE coefficients between light and heavy operators. In our model,
this spectrum agrees with the quasi-normal modes of the BTZ black hole.
|
[
{
"created": "Wed, 9 Mar 2016 20:15:53 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Mar 2016 18:38:17 GMT",
"version": "v2"
}
] |
2017-02-01
|
[
[
"Turiaci",
"Gustavo",
""
],
[
"Verlinde",
"Herman",
""
]
] |
We make three observations that help clarify the relation between CFT and quantum chaos. We show that any 1+1-D system in which conformal symmetry is non-linearly realized exhibits two main characteristics of chaos: maximal Lyapunov behavior and a spectrum of Ruelle resonances. We use this insight to identify a lattice model for quantum chaos, built from parafermionic spin variables with an equation of motion given by a Y-system. Finally we point to a relation between the spectrum of Ruelle resonances of a CFT and the analytic properties of OPE coefficients between light and heavy operators. In our model, this spectrum agrees with the quasi-normal modes of the BTZ black hole.
| 9.953484
| 10.690979
| 11.061124
| 9.994034
| 9.189022
| 10.982179
| 10.438884
| 10.364921
| 9.847392
| 11.580423
| 9.65201
| 10.009324
| 10.000707
| 9.597821
| 9.569798
| 9.397693
| 9.839255
| 10.122918
| 9.82646
| 9.953519
| 9.617248
|
2204.13659
|
Yong Zhang
|
Bo Feng, Song He, Yong Zhang, and Yao-Qi Zhang
|
One-loop diagrams with quadratic propagators from the worldsheet
|
27+11 pages,2 figures; minor changes, clarifications added, published
version
| null |
10.1007/JHEP08(2022)240
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is well known that forward limits of tree-level amplitudes (and those
trivalent diagrams they consist of) produce one-loop amplitudes and trivalent
diagrams with propagators linear in the loop momentum. They naturally arise
from one-loop worldsheet formulae, and an important open problem is how to
recombine them into usual one-loop diagrams with quadratic propagators. In this
paper, we study a new collection of worldsheet functions: generalized one-loop
Parke-Taylor factors with tensor numerators, which are conjectured to serve as
a basis for one-loop worldsheet functions with this nice property. We present
all-multiplicity, closed-form expressions for combinations of one-loop
trivalent diagrams with quadratic propagators and tensor numerators to
arbitrary rank (including possible tadpole contributions), produced by any pair
of Parke-Taylor factors. We also briefly comment on reducing worldsheet
functions onto such a basis, and applications to one-loop amplitudes in
physical theories.
|
[
{
"created": "Thu, 28 Apr 2022 17:20:37 GMT",
"version": "v1"
},
{
"created": "Wed, 4 May 2022 16:17:19 GMT",
"version": "v2"
},
{
"created": "Wed, 24 Aug 2022 14:00:16 GMT",
"version": "v3"
}
] |
2022-09-07
|
[
[
"Feng",
"Bo",
""
],
[
"He",
"Song",
""
],
[
"Zhang",
"Yong",
""
],
[
"Zhang",
"Yao-Qi",
""
]
] |
It is well known that forward limits of tree-level amplitudes (and those trivalent diagrams they consist of) produce one-loop amplitudes and trivalent diagrams with propagators linear in the loop momentum. They naturally arise from one-loop worldsheet formulae, and an important open problem is how to recombine them into usual one-loop diagrams with quadratic propagators. In this paper, we study a new collection of worldsheet functions: generalized one-loop Parke-Taylor factors with tensor numerators, which are conjectured to serve as a basis for one-loop worldsheet functions with this nice property. We present all-multiplicity, closed-form expressions for combinations of one-loop trivalent diagrams with quadratic propagators and tensor numerators to arbitrary rank (including possible tadpole contributions), produced by any pair of Parke-Taylor factors. We also briefly comment on reducing worldsheet functions onto such a basis, and applications to one-loop amplitudes in physical theories.
| 14.140488
| 11.065511
| 13.499791
| 11.868444
| 12.756273
| 11.868566
| 13.029711
| 11.64037
| 11.759135
| 13.73579
| 11.934366
| 11.913933
| 12.51531
| 12.023048
| 12.193993
| 12.305998
| 12.124036
| 12.243873
| 12.153681
| 12.602029
| 12.295971
|
2012.09802
|
Evan Coleman
|
Jeremias Aguilera-Damia, Louise M. Anderson, Evan Coleman
|
A substrate for brane shells from $T\bar{T}$
|
38 pages, 1 figure. Added references
| null |
10.1007/JHEP05(2021)248
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
A solvable current-current deformation of the worldsheet theory of strings on
$AdS_3$ has been recently conjectured to be dual to an irrelevant deformation
of the spacetime orbifold CFT, commonly referred to as single-trace $T\bar{T}$.
These deformations give rise to a family of bulk geometries which realize a
non-trivial flow towards the UV. For a particular sign of this deformation, the
corresponding three-dimensional geometry approaches $AdS_3$ in the interior,
but has a curvature singularity at finite radius, beyond which there are closed
timelike curves. It has been suggested that this singularity is due to the
presence of "negative branes," which are exotic objects that generically change
the metric signature. We propose an alternative UV-completion for these
geometries by cutting and gluing to a regular background which approaches a
linear dilaton vacuum in the UV. In the S-dual picture, a singularity
resolution mechanism known as the enhan\c{c}on induces this transition by the
formation of a shell of $D5$-branes at a fixed radial position near the
singularity. The solutions involving negative branes gain a new interpretation
in this context.
|
[
{
"created": "Thu, 17 Dec 2020 18:09:17 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Jan 2021 22:17:35 GMT",
"version": "v2"
}
] |
2023-01-11
|
[
[
"Aguilera-Damia",
"Jeremias",
""
],
[
"Anderson",
"Louise M.",
""
],
[
"Coleman",
"Evan",
""
]
] |
A solvable current-current deformation of the worldsheet theory of strings on $AdS_3$ has been recently conjectured to be dual to an irrelevant deformation of the spacetime orbifold CFT, commonly referred to as single-trace $T\bar{T}$. These deformations give rise to a family of bulk geometries which realize a non-trivial flow towards the UV. For a particular sign of this deformation, the corresponding three-dimensional geometry approaches $AdS_3$ in the interior, but has a curvature singularity at finite radius, beyond which there are closed timelike curves. It has been suggested that this singularity is due to the presence of "negative branes," which are exotic objects that generically change the metric signature. We propose an alternative UV-completion for these geometries by cutting and gluing to a regular background which approaches a linear dilaton vacuum in the UV. In the S-dual picture, a singularity resolution mechanism known as the enhan\c{c}on induces this transition by the formation of a shell of $D5$-branes at a fixed radial position near the singularity. The solutions involving negative branes gain a new interpretation in this context.
| 9.530994
| 9.1601
| 10.382211
| 8.69987
| 9.297596
| 8.715202
| 8.538945
| 8.196411
| 8.825573
| 11.279361
| 8.700994
| 8.822598
| 9.343801
| 8.925032
| 8.979586
| 9.011807
| 8.923121
| 8.760906
| 8.70671
| 9.219793
| 8.813337
|
2405.14056
|
Gianluca Calcagni
|
Fabio Briscese, Gianluca Calcagni, Leonardo Modesto, Giuseppe Nardelli
|
Form factors, spectral and K\"all\'en-Lehmann representation in nonlocal
quantum gravity
|
28 pages, 1 figure
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss the conical region of convergence of exponential and
asymptotically polynomial form factors and their integral representation as the
sum of complex conjugate pairs corresponding to virtual particles that never go
on-shell. Then, we calculate the spectral representation of the propagator of
nonlocal theories with entire form factors, in particular, of the above type.
The spectral density is positive definite and exhibits the same spectrum as the
local theory. We also find that the piece of the propagator corresponding to
the time-ordered two-point correlation function admits a generalization of the
K\"all\'en--Lehmann representation with a standard momentum dependence and a
spectral density differing from the local one only in the presence of
interactions. These results are in agreement with what already known about the
free theory after a field redefinition and about perturbative unitarity of the
interacting theory.
|
[
{
"created": "Wed, 22 May 2024 22:57:06 GMT",
"version": "v1"
}
] |
2024-05-24
|
[
[
"Briscese",
"Fabio",
""
],
[
"Calcagni",
"Gianluca",
""
],
[
"Modesto",
"Leonardo",
""
],
[
"Nardelli",
"Giuseppe",
""
]
] |
We discuss the conical region of convergence of exponential and asymptotically polynomial form factors and their integral representation as the sum of complex conjugate pairs corresponding to virtual particles that never go on-shell. Then, we calculate the spectral representation of the propagator of nonlocal theories with entire form factors, in particular, of the above type. The spectral density is positive definite and exhibits the same spectrum as the local theory. We also find that the piece of the propagator corresponding to the time-ordered two-point correlation function admits a generalization of the K\"all\'en--Lehmann representation with a standard momentum dependence and a spectral density differing from the local one only in the presence of interactions. These results are in agreement with what already known about the free theory after a field redefinition and about perturbative unitarity of the interacting theory.
| 14.274024
| 13.871405
| 14.097063
| 15.163789
| 14.945534
| 13.873187
| 14.876713
| 13.888774
| 14.547997
| 16.014507
| 14.164825
| 14.066975
| 13.321628
| 13.123287
| 13.642003
| 13.775031
| 13.558336
| 13.316051
| 13.880759
| 13.206498
| 13.414036
|
hep-th/9408159
|
Chen Bin
|
Bin Chen, Hao-Gang Ding and Ke Wu
|
Gauge theory on $Z_2 \times Z_2 \ti Z_2 $ Discrete Group and a
Spontaneous $CP$ Violation Toy Model
|
13pages, Latex
| null | null | null |
hep-th
| null |
In the spirit of Non-commutative differential calculus on discrete group, we
construct a toy model of spontaneous $CP$ violation (SCPV). Our model is
different from the well-known Weinberg-Branco model although it involves three
Higgs doublets and preserve neutral flavor current conservation (NFC) after
using the $Z_2 \ti Z_2 \ti Z_2$ discrete symmetry and imposing some constraints
on Yukawa couplings.
|
[
{
"created": "Mon, 29 Aug 1994 21:54:43 GMT",
"version": "v1"
}
] |
2019-08-17
|
[
[
"Chen",
"Bin",
""
],
[
"Ding",
"Hao-Gang",
""
],
[
"Wu",
"Ke",
""
]
] |
In the spirit of Non-commutative differential calculus on discrete group, we construct a toy model of spontaneous $CP$ violation (SCPV). Our model is different from the well-known Weinberg-Branco model although it involves three Higgs doublets and preserve neutral flavor current conservation (NFC) after using the $Z_2 \ti Z_2 \ti Z_2$ discrete symmetry and imposing some constraints on Yukawa couplings.
| 18.974731
| 15.63758
| 14.25054
| 13.214067
| 15.47154
| 16.041348
| 14.552258
| 13.973671
| 14.111765
| 14.626966
| 13.581659
| 15.15183
| 13.533049
| 13.933589
| 14.444557
| 14.377417
| 13.990562
| 13.869796
| 13.879849
| 14.340594
| 13.721635
|
2406.10483
|
Himanshu Raj
|
Himanshu Raj, Raju Venugopalan
|
QCD-Gravity double-copy in the Regge regime: shock wave propagators
|
16 pages
| null | null | null |
hep-th gr-qc hep-ph nucl-th
|
http://creativecommons.org/licenses/by/4.0/
|
In recent work, we demonstrated a double-copy relation between inclusive
gluon radiation in shock wave collisions of ultrarelativistic nuclei and
inclusive graviton radiation in trans-Planckian gravitational shock wave
collisions. We compute here the corresponding gravitational shock wave
propagators in general relativity and demonstrate that they too obey a double
copy relation to gluon shock wave propagators computed previously. These
results provide key input in a renormalization group approach towards computing
the high frequency radiation spectrum in close black hole encounters.
|
[
{
"created": "Sat, 15 Jun 2024 03:24:08 GMT",
"version": "v1"
}
] |
2024-06-18
|
[
[
"Raj",
"Himanshu",
""
],
[
"Venugopalan",
"Raju",
""
]
] |
In recent work, we demonstrated a double-copy relation between inclusive gluon radiation in shock wave collisions of ultrarelativistic nuclei and inclusive graviton radiation in trans-Planckian gravitational shock wave collisions. We compute here the corresponding gravitational shock wave propagators in general relativity and demonstrate that they too obey a double copy relation to gluon shock wave propagators computed previously. These results provide key input in a renormalization group approach towards computing the high frequency radiation spectrum in close black hole encounters.
| 12.4263
| 13.018482
| 13.795135
| 11.896102
| 13.405918
| 14.173575
| 11.879574
| 14.067307
| 12.505894
| 13.883271
| 14.437193
| 12.982007
| 12.407297
| 12.162519
| 12.509579
| 12.450217
| 12.212136
| 12.964986
| 12.495882
| 12.435621
| 12.436808
|
hep-th/9812215
|
Hendry Izaac Elim
|
Freddy P. Zen and Hendry I. Elim
|
Soliton Solution of the Integrable Coupled Nonlinear Schrodinger
Equation of Manakov Type
|
11 pages
| null | null | null |
hep-th math.DS nlin.PS nlin.SI patt-sol solv-int
| null |
The soliton solution of the integrable coupled nonlinear Schrodinger equation
(NLS) of Manakov type is investigated by using Zakharov-Shabat (ZS) scheme. We
get the bright N-solitons solution by solving the integrable uncoupled NLS of
Manakov type. We also find that there is an elastic collision of the bright
N-solitons.
|
[
{
"created": "Wed, 23 Dec 1998 09:00:19 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Dec 1998 01:08:00 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Zen",
"Freddy P.",
""
],
[
"Elim",
"Hendry I.",
""
]
] |
The soliton solution of the integrable coupled nonlinear Schrodinger equation (NLS) of Manakov type is investigated by using Zakharov-Shabat (ZS) scheme. We get the bright N-solitons solution by solving the integrable uncoupled NLS of Manakov type. We also find that there is an elastic collision of the bright N-solitons.
| 6.715607
| 7.52079
| 8.166913
| 7.291096
| 7.04285
| 7.096064
| 7.227301
| 6.955646
| 6.745854
| 7.365784
| 6.058678
| 6.451317
| 7.076213
| 6.538359
| 6.487478
| 6.317964
| 6.470885
| 6.570904
| 6.739819
| 7.672725
| 6.325047
|
2107.07520
|
Tomasz Lukowski
|
Tomasz Lukowski and Jonah Stalknecht
|
The hypersimplex canonical forms and the momentum amplituhedron-like
logarithmic forms
|
18 pages, 2 figures
| null |
10.1088/1751-8121/ac62ba
| null |
hep-th math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we provide a formula for the canonical differential form of the
hypersimplex $\Delta_{k,n}$ for all $n$ and $k$. We also study the
generalization of the momentum amplituhedron $\mathcal{M}_{n,k}$ to $m=2$, and
we conclude that the existing definition does not possess the desired
properties. Nevertheless, we find interesting momentum amplituhedron-like
logarithmic differential forms in the $m=2$ version of the spinor helicity
space, that have the same singularity structure as the hypersimplex canonical
forms.
|
[
{
"created": "Thu, 15 Jul 2021 18:00:01 GMT",
"version": "v1"
}
] |
2022-05-04
|
[
[
"Lukowski",
"Tomasz",
""
],
[
"Stalknecht",
"Jonah",
""
]
] |
In this paper we provide a formula for the canonical differential form of the hypersimplex $\Delta_{k,n}$ for all $n$ and $k$. We also study the generalization of the momentum amplituhedron $\mathcal{M}_{n,k}$ to $m=2$, and we conclude that the existing definition does not possess the desired properties. Nevertheless, we find interesting momentum amplituhedron-like logarithmic differential forms in the $m=2$ version of the spinor helicity space, that have the same singularity structure as the hypersimplex canonical forms.
| 8.701684
| 7.755188
| 10.43355
| 8.198895
| 8.183584
| 7.504354
| 7.852573
| 8.412689
| 7.338914
| 10.28174
| 7.4818
| 7.822442
| 8.497933
| 7.969765
| 7.863076
| 7.980586
| 7.812819
| 8.20267
| 7.757226
| 8.709356
| 7.762004
|
1306.1205
|
Joseph Novak
|
Daniel Butter, Sergei M. Kuzenko, Joseph Novak and Gabriele
Tartaglino-Mazzucchelli
|
Conformal supergravity in three dimensions: Off-shell actions
|
47 pages; v2: published version
|
JHEP 1310 (2013) 073
|
10.1007/JHEP10(2013)073
|
Nikhef-2013-018
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using the off-shell formulation for N-extended conformal supergravity in
three dimensions, which has recently been presented in arXiv:1305.3132, we
construct superspace actions for conformal supergravity theories with N<6. For
each of the cases considered, we work out the complete component action as well
as the gauge transformation laws of the fields belonging to the Weyl
supermultiplet. The N=1 and N=2 component actions derived coincide with those
proposed by van Nieuwenhuizen and Rocek in the mid-1980s. The off-shell N=3,
N=4 and N=5 supergravity actions are new results. Upon elimination of the
auxiliary fields, these actions reduce to those constructed by Lindstrom and
Rocek in 1989 (and also by Gates and Nishino in 1993).
|
[
{
"created": "Wed, 5 Jun 2013 18:53:20 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Oct 2013 03:59:24 GMT",
"version": "v2"
}
] |
2013-10-16
|
[
[
"Butter",
"Daniel",
""
],
[
"Kuzenko",
"Sergei M.",
""
],
[
"Novak",
"Joseph",
""
],
[
"Tartaglino-Mazzucchelli",
"Gabriele",
""
]
] |
Using the off-shell formulation for N-extended conformal supergravity in three dimensions, which has recently been presented in arXiv:1305.3132, we construct superspace actions for conformal supergravity theories with N<6. For each of the cases considered, we work out the complete component action as well as the gauge transformation laws of the fields belonging to the Weyl supermultiplet. The N=1 and N=2 component actions derived coincide with those proposed by van Nieuwenhuizen and Rocek in the mid-1980s. The off-shell N=3, N=4 and N=5 supergravity actions are new results. Upon elimination of the auxiliary fields, these actions reduce to those constructed by Lindstrom and Rocek in 1989 (and also by Gates and Nishino in 1993).
| 5.953671
| 5.949461
| 6.85697
| 5.424789
| 5.428113
| 5.603663
| 5.73832
| 5.353048
| 5.549047
| 7.212392
| 5.232018
| 5.364223
| 6.263758
| 5.530689
| 5.605179
| 5.480948
| 5.341697
| 5.409421
| 5.636754
| 5.912867
| 5.37257
|
1402.1346
|
Shin'ichi Nojiri
|
Masafumi Higuchi and Shin'ichi Nojiri
|
Reconstruction of Domain Wall Universe and Localization of Gravity
|
LaTeX, 8 pages, no figure
| null |
10.1007/s10714-014-1822-z
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct a four-dimensional domain wall universe by using the Brans-Dicke
type gravity with two scalar field. We give a formulation where for arbitrarily
given warp factor and scale factor, we construct an action which reproduces
both of the warp and scale factors as a solution of the Einstein equation and
the field equations given by the action. This formulation could be called as
reconstruction. We show that the model does not contain ghost with negative
kinetic term and there occur the localization of gravity as in the
Randall-Sundrum model. It should be noted that in the equation of the graviton,
there appear extra terms related with the extra dimension, which might affect
the tensor mode in the fluctuations
|
[
{
"created": "Thu, 6 Feb 2014 13:19:46 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"Higuchi",
"Masafumi",
""
],
[
"Nojiri",
"Shin'ichi",
""
]
] |
We construct a four-dimensional domain wall universe by using the Brans-Dicke type gravity with two scalar field. We give a formulation where for arbitrarily given warp factor and scale factor, we construct an action which reproduces both of the warp and scale factors as a solution of the Einstein equation and the field equations given by the action. This formulation could be called as reconstruction. We show that the model does not contain ghost with negative kinetic term and there occur the localization of gravity as in the Randall-Sundrum model. It should be noted that in the equation of the graviton, there appear extra terms related with the extra dimension, which might affect the tensor mode in the fluctuations
| 12.401782
| 11.118773
| 12.535812
| 11.351914
| 12.790817
| 13.315248
| 12.674394
| 11.897104
| 11.278334
| 12.230946
| 11.460488
| 11.286059
| 11.879752
| 11.541372
| 11.64115
| 11.554551
| 11.401899
| 11.651057
| 11.38777
| 11.773928
| 11.156296
|
1611.02937
|
Dr. Sudhaker Upadhyay
|
S. H. Hendi, S. Panahiyan, S. Upadhyay and B. Eslam Panah
|
Charged BTZ black holes in the context of massive gravity's rainbow
|
23 pages with 8 captioned figures, journal version
|
Phys. Rev. D 95, 084036 (2017)
|
10.1103/PhysRevD.95.084036
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
BTZ black holes are excellent laboratories for studying black hole
thermodynamics which is a bridge between classical general relativity and
quantum nature of gravitation. In addition, three-dimensional gravity could
have equipped us for exploring some of the ideas behind the two dimensional
conformal field theory based on the $AdS_{3}/CFT_{2}$. Considering the
significant interests in these regards, we examine charged BTZ black holes. We
consider the system contains massive gravity with energy dependent spacetime to
enrich the results. In order to make high curvature (energy) BTZ black holes
more realistic, we modify the theory by energy dependent constants. We
investigate thermodynamic properties of the solutions by calculating heat
capacity and free energy. We also analyze thermal stability and study the
possibility of Hawking-Page phase transition. At last, we study geometrical
thermodynamics of these black holes and compare the results of various
approaches.
|
[
{
"created": "Mon, 31 Oct 2016 20:46:50 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Apr 2017 04:36:02 GMT",
"version": "v2"
}
] |
2017-04-26
|
[
[
"Hendi",
"S. H.",
""
],
[
"Panahiyan",
"S.",
""
],
[
"Upadhyay",
"S.",
""
],
[
"Panah",
"B. Eslam",
""
]
] |
BTZ black holes are excellent laboratories for studying black hole thermodynamics which is a bridge between classical general relativity and quantum nature of gravitation. In addition, three-dimensional gravity could have equipped us for exploring some of the ideas behind the two dimensional conformal field theory based on the $AdS_{3}/CFT_{2}$. Considering the significant interests in these regards, we examine charged BTZ black holes. We consider the system contains massive gravity with energy dependent spacetime to enrich the results. In order to make high curvature (energy) BTZ black holes more realistic, we modify the theory by energy dependent constants. We investigate thermodynamic properties of the solutions by calculating heat capacity and free energy. We also analyze thermal stability and study the possibility of Hawking-Page phase transition. At last, we study geometrical thermodynamics of these black holes and compare the results of various approaches.
| 12.755898
| 11.993005
| 13.101457
| 11.759606
| 12.48743
| 12.314075
| 12.017262
| 11.988496
| 13.023253
| 12.301402
| 12.661959
| 12.061536
| 11.973219
| 11.652065
| 11.822791
| 11.981463
| 12.101563
| 11.649282
| 11.787176
| 11.981552
| 12.170878
|
1210.8358
|
Fidel Schaposnik
|
Fidel A. Schaposnik and Gianni Tallarita
|
Lifshitz holography with a probe Yang-Mills field
|
12 pages, 3 figures
| null |
10.1016/j.physletb.2013.02.032
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Taking as a probe an SU(2) gauge field with Yang-Mills action in a 3+1
dimensional Lifshitz black hole background, we use the gauge/gravity
correspondence to discuss finite temperature effects in the dual theory defined
on the boundary. In order to test the dependence of results on the anisotropic
scaling exponent z we consider two analytical black hole solutions with z=2 and
z=4. Apart from solving the equations of motion in the bulk using a numerical
approach, we also apply an analytical approximation allowing the determination
of the phase transition character, the critical exponent and the critical
temperature behavior as a function of z.
|
[
{
"created": "Wed, 31 Oct 2012 15:05:29 GMT",
"version": "v1"
}
] |
2015-06-11
|
[
[
"Schaposnik",
"Fidel A.",
""
],
[
"Tallarita",
"Gianni",
""
]
] |
Taking as a probe an SU(2) gauge field with Yang-Mills action in a 3+1 dimensional Lifshitz black hole background, we use the gauge/gravity correspondence to discuss finite temperature effects in the dual theory defined on the boundary. In order to test the dependence of results on the anisotropic scaling exponent z we consider two analytical black hole solutions with z=2 and z=4. Apart from solving the equations of motion in the bulk using a numerical approach, we also apply an analytical approximation allowing the determination of the phase transition character, the critical exponent and the critical temperature behavior as a function of z.
| 8.667652
| 7.977152
| 7.88848
| 7.499301
| 7.272603
| 7.620428
| 7.897653
| 7.705455
| 7.222077
| 8.404191
| 7.525239
| 7.668967
| 8.15745
| 7.511326
| 7.489633
| 7.599304
| 7.817131
| 7.527497
| 7.496366
| 8.131473
| 7.863239
|
2406.11557
|
Si-Wen Li
|
Si-wen Li, Yi-peng Zhang, Hao-qian Li
|
Holographic spectral function of fermion in instantonic plasma
|
19 pages, 5 figures
| null | null | null |
hep-th hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
Using the gauge-gravity duality, we investigate the fermionic correlation
function in the D(-1)-D3 brane system which describes the instantonic plasma in
holography. In this system, the charge of the D(-1) brane as the D-instanton
gives the gluon condensate. To simplify the holographic setup, we first reduce
briefly the ten-dimensional supergravity background produced by D(-1)-D3-branes
to an equivalently five-dimensional background. Then using the standard method
for computing the Green function in the AdS/CFT dictionary, we derive the
equations for the fermionic correlation functions and solve them numerically
with the infalling boundary condition. Our numerical results illustrate that
the fermionic correlation function as spectral function includes two branches
of the dispersion curves whose behavior is very close to the results obtained
from the method of hard thermal loop. And the effective mass generated by the
medium effect of fermion splits into two values due to the spin-dependent
interactions induced by instantons. Therefore, this work in holography
demonstrates the instantonic configuration is very influential to the fermionic
plasmino in plasma.
|
[
{
"created": "Mon, 17 Jun 2024 13:55:52 GMT",
"version": "v1"
}
] |
2024-06-18
|
[
[
"Li",
"Si-wen",
""
],
[
"Zhang",
"Yi-peng",
""
],
[
"Li",
"Hao-qian",
""
]
] |
Using the gauge-gravity duality, we investigate the fermionic correlation function in the D(-1)-D3 brane system which describes the instantonic plasma in holography. In this system, the charge of the D(-1) brane as the D-instanton gives the gluon condensate. To simplify the holographic setup, we first reduce briefly the ten-dimensional supergravity background produced by D(-1)-D3-branes to an equivalently five-dimensional background. Then using the standard method for computing the Green function in the AdS/CFT dictionary, we derive the equations for the fermionic correlation functions and solve them numerically with the infalling boundary condition. Our numerical results illustrate that the fermionic correlation function as spectral function includes two branches of the dispersion curves whose behavior is very close to the results obtained from the method of hard thermal loop. And the effective mass generated by the medium effect of fermion splits into two values due to the spin-dependent interactions induced by instantons. Therefore, this work in holography demonstrates the instantonic configuration is very influential to the fermionic plasmino in plasma.
| 12.102003
| 12.220323
| 12.626914
| 11.519547
| 12.364231
| 12.690556
| 12.399949
| 12.40822
| 11.673473
| 13.182524
| 11.750862
| 12.075214
| 11.799399
| 11.3914
| 11.728593
| 11.677134
| 11.402204
| 11.506084
| 11.378203
| 11.63721
| 11.146126
|
0712.1225
|
Luca Vecchi
|
Luca Vecchi
|
Massive states as the relevant deformations of gravitating branes
|
Version published in Phys. Rev. D
|
Phys.Rev.D78:085029,2008
|
10.1103/PhysRevD.78.085029
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Five-dimensional theories manifesting spontaneous brane generation are
discussed in a gravitational context. Without gravity, the IR dynamics of the
brane fluctuation below the brane tension scale is described by an effective
theory for the Nambu-Goldstone modes. When gravity is properly taken into
account the long distance dynamics changes. The spontaneous breaking of local
translational invariance triggers the formation of massive representations via
the Higgs mechanism and induces the appearance of new mass scales in the IR.
These scales can in principle depend on other fundamental parameters besides
the brane tension and the Planck scale. In noncompact extra dimensions the
massive states are found to be scalar bound states. We obtain explicit
expressions for their propagator and show that their masses depend on the brane
width and are thus much heavier than expected. We present an exactly solvable
model which captures the main features of the gravitational system.
|
[
{
"created": "Fri, 7 Dec 2007 20:53:22 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Aug 2008 15:03:51 GMT",
"version": "v2"
},
{
"created": "Tue, 9 Dec 2008 17:47:47 GMT",
"version": "v3"
}
] |
2008-12-18
|
[
[
"Vecchi",
"Luca",
""
]
] |
Five-dimensional theories manifesting spontaneous brane generation are discussed in a gravitational context. Without gravity, the IR dynamics of the brane fluctuation below the brane tension scale is described by an effective theory for the Nambu-Goldstone modes. When gravity is properly taken into account the long distance dynamics changes. The spontaneous breaking of local translational invariance triggers the formation of massive representations via the Higgs mechanism and induces the appearance of new mass scales in the IR. These scales can in principle depend on other fundamental parameters besides the brane tension and the Planck scale. In noncompact extra dimensions the massive states are found to be scalar bound states. We obtain explicit expressions for their propagator and show that their masses depend on the brane width and are thus much heavier than expected. We present an exactly solvable model which captures the main features of the gravitational system.
| 12.340446
| 11.250264
| 12.304713
| 11.413244
| 12.5775
| 12.07994
| 11.285405
| 11.739714
| 11.860907
| 12.619035
| 11.461668
| 11.752405
| 11.463571
| 11.466522
| 11.658421
| 11.82145
| 11.376481
| 11.931594
| 11.324221
| 12.005953
| 11.424899
|
hep-th/9809133
|
Ehud Schreiber
|
Y. Kinar, E. Schreiber, J. Sonnenschein
|
Precision "Measurements" of the $Q \bar{Q}$ Potential in MQCD
|
Latex, 1+18 pages, 3 figures ; v2: Discussion of SUSY breaking case
corrected - results qualitatively unchanged v3: Minor corrections, reference
added
|
Nucl.Phys. B544 (1999) 633-649
|
10.1016/S0550-3213(99)00067-X
|
TAUP-2518-98
|
hep-th
| null |
We compute the M theory corrections to the confining linear potential between
a quark and an anti-quark in N=1 Super Yang-Mills theory. We find a constant
term, and a term exponentially small with characteristic length of
$\Lambda_{QCD}^{-1}$. The potential in the MQCD setup that corresponds to
softly broken N=1 SYM is found to have a similar behavior.
|
[
{
"created": "Thu, 17 Sep 1998 17:39:48 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Oct 1998 16:28:13 GMT",
"version": "v2"
},
{
"created": "Tue, 2 Feb 1999 12:39:13 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Kinar",
"Y.",
""
],
[
"Schreiber",
"E.",
""
],
[
"Sonnenschein",
"J.",
""
]
] |
We compute the M theory corrections to the confining linear potential between a quark and an anti-quark in N=1 Super Yang-Mills theory. We find a constant term, and a term exponentially small with characteristic length of $\Lambda_{QCD}^{-1}$. The potential in the MQCD setup that corresponds to softly broken N=1 SYM is found to have a similar behavior.
| 9.791676
| 8.668793
| 9.451188
| 7.920857
| 8.419434
| 8.477362
| 8.532756
| 7.559034
| 7.90847
| 9.749422
| 7.870275
| 8.233608
| 8.946208
| 9.035433
| 8.938371
| 8.611987
| 8.329669
| 8.340079
| 8.754911
| 8.665974
| 8.099473
|
1307.7738
|
Anton de la Fuente
|
Anton de la Fuente and Raman Sundrum
|
Holography of the BTZ Black Hole, Inside and Out
|
52 pages, 15 figures. v2: Clarifications made throughout paper.
Derivation of (new) Section 8 corrected. Results and conclusions unchanged.
References added
|
JHEP 09 (2014) 073
|
10.1007/JHEP09(2014)073
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a 1+1 dimensional CFT dual structure for quantum gravity and
matter on the extended 2+1 dimensional BTZ black hole, realized as a quotient
of the Poincare patch of AdS$_3$. The quotient spacetime includes regions
beyond the singularity, "whiskers", containing timelike and lightlike closed
curves, which at first sight seem unphysical. The spacetime includes the usual
AdS-asymptotic boundaries outside the horizons as well as boundary components
inside the whiskers. We show that local boundary correlators with some
endpoints in the whisker regions: (i) are a protected class of amplitudes,
dominated by effective field theory even when the associated Witten diagrams
appear to traverse the singularity, (ii) describe well-defined
diffeomorphism-invariant quantum gravity amplitudes in BTZ, (iii) sharply probe
some of the physics inside the horizon but outside the singularity, and (iv)
are equivalent to correlators of specific non-local CFT operators in the
standard thermofield entangled state of two CFTs. In this sense, the whisker
regions can be considered as purely auxiliary spacetimes in which these useful
non-local CFT correlators can be rendered as local boundary correlators, and
their diagnostic value more readily understood. Our results follow by first
performing a novel reanalysis of the Rindler view of standard AdS/CFT duality
on the Poincare patch of AdS, followed by exploiting the simple quotient
structure of BTZ which turns the Rindler horizon into the BTZ black hole
horizon. While most of our checks are within gravitational effective field
theory, we arrive at a fully non-perturbative CFT proposal to probe the
UV-sensitive approach to the singularity.
|
[
{
"created": "Mon, 29 Jul 2013 20:55:08 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Jul 2014 00:54:13 GMT",
"version": "v2"
}
] |
2014-09-16
|
[
[
"de la Fuente",
"Anton",
""
],
[
"Sundrum",
"Raman",
""
]
] |
We propose a 1+1 dimensional CFT dual structure for quantum gravity and matter on the extended 2+1 dimensional BTZ black hole, realized as a quotient of the Poincare patch of AdS$_3$. The quotient spacetime includes regions beyond the singularity, "whiskers", containing timelike and lightlike closed curves, which at first sight seem unphysical. The spacetime includes the usual AdS-asymptotic boundaries outside the horizons as well as boundary components inside the whiskers. We show that local boundary correlators with some endpoints in the whisker regions: (i) are a protected class of amplitudes, dominated by effective field theory even when the associated Witten diagrams appear to traverse the singularity, (ii) describe well-defined diffeomorphism-invariant quantum gravity amplitudes in BTZ, (iii) sharply probe some of the physics inside the horizon but outside the singularity, and (iv) are equivalent to correlators of specific non-local CFT operators in the standard thermofield entangled state of two CFTs. In this sense, the whisker regions can be considered as purely auxiliary spacetimes in which these useful non-local CFT correlators can be rendered as local boundary correlators, and their diagnostic value more readily understood. Our results follow by first performing a novel reanalysis of the Rindler view of standard AdS/CFT duality on the Poincare patch of AdS, followed by exploiting the simple quotient structure of BTZ which turns the Rindler horizon into the BTZ black hole horizon. While most of our checks are within gravitational effective field theory, we arrive at a fully non-perturbative CFT proposal to probe the UV-sensitive approach to the singularity.
| 11.339036
| 11.726982
| 12.508429
| 11.750411
| 12.475376
| 11.999951
| 12.284786
| 12.207252
| 11.550401
| 12.914594
| 10.939426
| 11.489319
| 11.427067
| 11.305943
| 11.422434
| 11.354689
| 11.196973
| 11.289008
| 11.407102
| 11.766135
| 11.387104
|
1309.7642
|
Panagiota Kanti
|
P. Kanti, N. Pappas and K. Zuleta
|
On the Localisation of 4-Dimensional Brane-World Black Holes
|
23 pages, Latex2e file, submitted for publication in Classical and
Quantum Gravity
| null |
10.1088/0264-9381/30/23/235017
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the context of brane-world models, we pursue the question of the existence
of 5-dimensional solutions describing regular black holes localised close to
the brane. Employing a perturbed Vaidya-type line-element embedded in a warped
fifth dimension, we attempt to localise the extended black-string singularity,
and to restore the regularity of the AdS spacetime at a finite distance from
the brane by introducing an appropriate bulk energy-momentum tensor. As a
source for this bulk matter, we are considering a variety of non-ordinary
field-theory models of scalar fields either minimally-coupled to gravity, but
including non-canonical kinetic terms, mixing terms, derivative interactions
and ghosts, or non-minimally-coupled to gravity through a general coupling to
the Ricci scalar. In all models considered, even in the ones characterised by a
high-degree of flexibility, a negative result was reached. Our analysis
demonstrates how difficult the analytic construction of a localised brane-world
black hole may be in the context of a well-defined field-theory model. Finally,
with regard to the question of the existence or not of a static classical black
hole solution on the brane, our analysis suggests that such solutions could in
principle exist, however, the associated field configuration itself has to be
dynamic.
|
[
{
"created": "Sun, 29 Sep 2013 19:22:50 GMT",
"version": "v1"
}
] |
2015-06-17
|
[
[
"Kanti",
"P.",
""
],
[
"Pappas",
"N.",
""
],
[
"Zuleta",
"K.",
""
]
] |
In the context of brane-world models, we pursue the question of the existence of 5-dimensional solutions describing regular black holes localised close to the brane. Employing a perturbed Vaidya-type line-element embedded in a warped fifth dimension, we attempt to localise the extended black-string singularity, and to restore the regularity of the AdS spacetime at a finite distance from the brane by introducing an appropriate bulk energy-momentum tensor. As a source for this bulk matter, we are considering a variety of non-ordinary field-theory models of scalar fields either minimally-coupled to gravity, but including non-canonical kinetic terms, mixing terms, derivative interactions and ghosts, or non-minimally-coupled to gravity through a general coupling to the Ricci scalar. In all models considered, even in the ones characterised by a high-degree of flexibility, a negative result was reached. Our analysis demonstrates how difficult the analytic construction of a localised brane-world black hole may be in the context of a well-defined field-theory model. Finally, with regard to the question of the existence or not of a static classical black hole solution on the brane, our analysis suggests that such solutions could in principle exist, however, the associated field configuration itself has to be dynamic.
| 9.944624
| 10.995742
| 10.843123
| 9.915986
| 10.724575
| 10.267906
| 10.63965
| 10.506279
| 10.237414
| 10.460926
| 9.818828
| 10.065828
| 9.861138
| 9.649269
| 10.037842
| 9.929605
| 10.069827
| 9.828526
| 9.642818
| 9.665186
| 9.840304
|
hep-th/9606085
|
Mekhfi Mustapha
|
M.Mekhfi
|
Twisted Homotopy: A Group Theoretic Approach
|
7 pages,Latex,no figures
| null | null | null |
hep-th
| null |
After summarising the physical approach leading to twisted homotopy and after
developing the cohomological approach further with respect to our previous work
we propose a third alternative approach to twisted homotopy based on group
theoretic considerations. In this approach the fundamental group $\Pi (m) $
isomorphic to Z which describes homotopic loops on the punctured plane$ R^2/(0)
$ is enhanced in a special way to the continuous SO(2) group . This is
performed by letting the parameter of the group $ m \rightarrow \lambda $ while
keeping its generator unchanged .It is shown that such non-trivial procedure
has the effect of introducing well defined self-interactions among loops which
are at the basis of twisted homotopy where the angle $ \lambda $ plays the role
of the self coupling constant.
KEYWORDS: Homotopy, Group Theory, Quantum Mechanics
MSC:55Q35; PACS:02.20.Fh ; 03.65.Fd
|
[
{
"created": "Fri, 14 Jun 1996 14:12:54 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Mekhfi",
"M.",
""
]
] |
After summarising the physical approach leading to twisted homotopy and after developing the cohomological approach further with respect to our previous work we propose a third alternative approach to twisted homotopy based on group theoretic considerations. In this approach the fundamental group $\Pi (m) $ isomorphic to Z which describes homotopic loops on the punctured plane$ R^2/(0) $ is enhanced in a special way to the continuous SO(2) group . This is performed by letting the parameter of the group $ m \rightarrow \lambda $ while keeping its generator unchanged .It is shown that such non-trivial procedure has the effect of introducing well defined self-interactions among loops which are at the basis of twisted homotopy where the angle $ \lambda $ plays the role of the self coupling constant. KEYWORDS: Homotopy, Group Theory, Quantum Mechanics MSC:55Q35; PACS:02.20.Fh ; 03.65.Fd
| 17.880569
| 17.304741
| 18.766531
| 16.916264
| 18.650776
| 18.796259
| 17.662302
| 17.053642
| 17.443071
| 19.705526
| 16.07445
| 16.264006
| 16.386284
| 15.856067
| 16.471081
| 16.065285
| 16.314024
| 16.061264
| 16.249317
| 16.873554
| 16.277409
|
hep-th/9207034
|
Steve Giddings
|
Steven B. Giddings and Andrew Strominger
|
Quantum Theories of Dilaton Gravity
|
20 pages (Major additions made, including 5 pages on the relation
between conformal invariance and background independence.)
|
Phys.Rev.D47:2454-2460,1993
|
10.1103/PhysRevD.47.2454
|
UCSBTH-92-28
|
hep-th
| null |
Quantization of two-dimensional dilaton gravity coupled to conformal matter
is investigated. Working in conformal gauge about a fixed background metric,
the theory may be viewed as a sigma model whose target space is parameterized
by the dilaton $\phi$ and conformal factor $\rho$. A precise connection is
given between the constraint that the theory be independent of the background
metric and conformal invariance of the resulting sigma model. Although the
action is renormalizable, new coupling constants must be specified at each
order in perturbation theory in order to determine the quantum theory. These
constants may be viewed as initial data for the beta function equations. It is
argued that not all choices of this data correspond to physically sensible
theories of gravity, and physically motivated constraints on the data are
discussed. In particular a recently constructed subclass of initial data which
reduces the full quantum theory to a soluble Liouville-like theory has energies
unbounded from below and thus is unphysical. Possibilities for modifying this
construction so as to avoid this difficulty are briefly discussed.
|
[
{
"created": "Sat, 11 Jul 1992 01:49:39 GMT",
"version": "v1"
},
{
"created": "Sat, 3 Oct 1992 23:22:20 GMT",
"version": "v2"
}
] |
2009-09-17
|
[
[
"Giddings",
"Steven B.",
""
],
[
"Strominger",
"Andrew",
""
]
] |
Quantization of two-dimensional dilaton gravity coupled to conformal matter is investigated. Working in conformal gauge about a fixed background metric, the theory may be viewed as a sigma model whose target space is parameterized by the dilaton $\phi$ and conformal factor $\rho$. A precise connection is given between the constraint that the theory be independent of the background metric and conformal invariance of the resulting sigma model. Although the action is renormalizable, new coupling constants must be specified at each order in perturbation theory in order to determine the quantum theory. These constants may be viewed as initial data for the beta function equations. It is argued that not all choices of this data correspond to physically sensible theories of gravity, and physically motivated constraints on the data are discussed. In particular a recently constructed subclass of initial data which reduces the full quantum theory to a soluble Liouville-like theory has energies unbounded from below and thus is unphysical. Possibilities for modifying this construction so as to avoid this difficulty are briefly discussed.
| 8.424307
| 8.720799
| 9.511796
| 8.322487
| 8.633477
| 8.675309
| 8.21909
| 8.861283
| 8.302233
| 9.274336
| 8.138708
| 8.067256
| 8.536304
| 8.283933
| 8.153452
| 8.326762
| 8.329609
| 8.587265
| 8.113862
| 8.660161
| 8.190523
|
2207.00605
|
Veronica Panizza
|
Veronica Panizza, Ricardo Costa de Almeida, Philipp Hauke
|
Entanglement Witnessing for Lattice Gauge Theories
|
17+8 pages (single column), 4+2 figures; added references
| null |
10.1007/JHEP09(2022)196
| null |
hep-th cond-mat.quant-gas cond-mat.str-el hep-lat quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Entanglement is assuming a central role in modern quantum many-body physics.
Yet, for lattice gauge theories its certification remains extremely
challenging. A key difficulty stems from the local gauge constraints underlying
the gauge theory, which separate the full Hilbert space into a direct sum of
subspaces characterized by different superselection rules. In this work, we
develop the theoretical framework of entanglement witnessing for lattice gauge
theories that takes this subtlety into account. We illustrate the concept at
the example of a $\mathrm{U}(1)$ lattice gauge theory in 2+1 dimensions,
without and with dynamical fermionic matter. As this framework circumvents
costly state tomography, it opens the door to resource-efficient certification
of entanglement in theoretical studies as well as in laboratory quantum
simulations of gauge theories.
|
[
{
"created": "Fri, 1 Jul 2022 18:01:21 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Jul 2022 12:59:31 GMT",
"version": "v2"
}
] |
2022-09-26
|
[
[
"Panizza",
"Veronica",
""
],
[
"de Almeida",
"Ricardo Costa",
""
],
[
"Hauke",
"Philipp",
""
]
] |
Entanglement is assuming a central role in modern quantum many-body physics. Yet, for lattice gauge theories its certification remains extremely challenging. A key difficulty stems from the local gauge constraints underlying the gauge theory, which separate the full Hilbert space into a direct sum of subspaces characterized by different superselection rules. In this work, we develop the theoretical framework of entanglement witnessing for lattice gauge theories that takes this subtlety into account. We illustrate the concept at the example of a $\mathrm{U}(1)$ lattice gauge theory in 2+1 dimensions, without and with dynamical fermionic matter. As this framework circumvents costly state tomography, it opens the door to resource-efficient certification of entanglement in theoretical studies as well as in laboratory quantum simulations of gauge theories.
| 7.758442
| 9.058387
| 8.099822
| 7.541287
| 9.669344
| 9.251287
| 8.901126
| 8.867223
| 8.245647
| 8.594745
| 8.487432
| 8.136089
| 7.788259
| 7.659328
| 7.874492
| 7.840981
| 7.809646
| 7.83215
| 7.7978
| 7.541823
| 7.744998
|
hep-th/0103013
| null |
Alexios P. Polychronakos
|
Quantum Hall states as matrix Chern-Simons theory
|
18 pages; final version to appear in JHEP
|
JHEP 0104:011,2001
|
10.1088/1126-6708/2001/04/011
|
CCNY-HEP-01-02, RU-01-4-B
|
hep-th cond-mat nlin.SI quant-ph
| null |
We propose a finite Chern-Simons matrix model on the plane as an effective
description of fractional quantum Hall fluids of finite extent. The
quantization of the inverse filling fraction and of the quasiparticle number is
shown to arise quantum mechanically and to agree with Laughlin theory. We also
point out the effective equivalence of this model, and therefore of the quantum
Hall system, with the Calogero model.
|
[
{
"created": "Fri, 2 Mar 2001 17:21:40 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Mar 2001 00:20:51 GMT",
"version": "v2"
},
{
"created": "Tue, 17 Apr 2001 06:31:48 GMT",
"version": "v3"
}
] |
2010-02-03
|
[
[
"Polychronakos",
"Alexios P.",
""
]
] |
We propose a finite Chern-Simons matrix model on the plane as an effective description of fractional quantum Hall fluids of finite extent. The quantization of the inverse filling fraction and of the quasiparticle number is shown to arise quantum mechanically and to agree with Laughlin theory. We also point out the effective equivalence of this model, and therefore of the quantum Hall system, with the Calogero model.
| 11.450838
| 8.690886
| 12.831722
| 9.198024
| 10.675772
| 9.732878
| 9.432873
| 8.766042
| 8.920426
| 13.255178
| 9.197521
| 10.060018
| 11.248639
| 10.065793
| 10.193625
| 9.703896
| 9.818007
| 9.766046
| 10.102872
| 10.534899
| 10.320889
|
hep-th/9209022
|
7353
|
Shinobu Hikami and Edouard Br\'ezin
|
Perturbative analysis of an n-Ising model on a random surface
|
9pp
|
Phys.Lett. B295 (1992) 209-213
|
10.1016/0370-2693(92)91555-N
| null |
hep-th
| null |
Two dimensional quantum gravity coupled to a conformally invariant matter
field of central charge c=n/2, is represented, in a discretized version, by n
independent Ising spins per cell of the triangulations of a random surface. The
matrix integral representation of this model leads to a diagrammatic expansion
at large orders, when the Ising coupling constant is tuned to criticality, one
extracts the values of the string susceptibility exponent. We extend our
previous calculation to order eight for genus zero and investigate now also the
genus one case in order to check the possibility of having a well-defined
double scaling limit even c>1.
|
[
{
"created": "Tue, 8 Sep 1992 07:37:35 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Hikami",
"Shinobu",
""
],
[
"Brézin",
"Edouard",
""
]
] |
Two dimensional quantum gravity coupled to a conformally invariant matter field of central charge c=n/2, is represented, in a discretized version, by n independent Ising spins per cell of the triangulations of a random surface. The matrix integral representation of this model leads to a diagrammatic expansion at large orders, when the Ising coupling constant is tuned to criticality, one extracts the values of the string susceptibility exponent. We extend our previous calculation to order eight for genus zero and investigate now also the genus one case in order to check the possibility of having a well-defined double scaling limit even c>1.
| 15.334742
| 15.59422
| 19.191967
| 14.926937
| 15.733354
| 15.416467
| 15.369543
| 13.641931
| 14.269991
| 19.835518
| 15.11309
| 14.872221
| 15.232283
| 15.418059
| 15.442336
| 14.34611
| 15.730608
| 14.565756
| 15.218884
| 15.876683
| 13.989872
|
hep-th/9507057
|
Jean-Bernard Zuber
|
Jean-Bernard Zuber
|
Graphs and Reflection Groups
|
42 pages TEX file, harvmac and epsf macros, AMS fonts optional,
uuencoded, 8 figures included
|
Commun.Math.Phys. 179 (1996) 265-294
|
10.1007/BF02102590
|
SPhT 95/089
|
hep-th
| null |
It is shown that graphs that generalize the ADE Dynkin diagrams and have
appeared in various contexts of two-dimensional field theory may be regarded in
a natural way as encoding the geometry of a root system. After recalling what
are the conditions satisfied by these graphs, we define a bilinear form on a
root system in terms of the adjacency matrices of these graphs and undertake
the study of the group generated by the reflections in the hyperplanes
orthogonal to these roots. Some ``non integrally laced " graphs are shown to be
associated with subgroups of these reflection groups. The empirical relevance
of these graphs in the classification of conformal field theories or in the
construction of integrable lattice models is recalled, and the connections with
recent developments in the context of ${\cal N}=2$ supersymmetric theories and
topological field theories are discussed.
|
[
{
"created": "Mon, 10 Jul 1995 14:59:41 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Zuber",
"Jean-Bernard",
""
]
] |
It is shown that graphs that generalize the ADE Dynkin diagrams and have appeared in various contexts of two-dimensional field theory may be regarded in a natural way as encoding the geometry of a root system. After recalling what are the conditions satisfied by these graphs, we define a bilinear form on a root system in terms of the adjacency matrices of these graphs and undertake the study of the group generated by the reflections in the hyperplanes orthogonal to these roots. Some ``non integrally laced " graphs are shown to be associated with subgroups of these reflection groups. The empirical relevance of these graphs in the classification of conformal field theories or in the construction of integrable lattice models is recalled, and the connections with recent developments in the context of ${\cal N}=2$ supersymmetric theories and topological field theories are discussed.
| 10.396003
| 9.947124
| 11.80743
| 9.628857
| 9.734365
| 11.272506
| 10.076124
| 10.34097
| 9.533185
| 11.319709
| 9.497076
| 9.683403
| 10.480665
| 9.609689
| 9.747245
| 9.496415
| 9.66012
| 9.87554
| 9.804739
| 10.352747
| 9.848078
|
1812.10448
|
Marco Raveri
|
Marco Raveri, Wayne Hu and Savdeep Sethi
|
Swampland Conjectures and Late-Time Cosmology
|
10 pages, 4 figures; more precisely worded abstract and conclusions;
references added
|
Phys. Rev. D 99, 083518 (2019)
|
10.1103/PhysRevD.99.083518
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss the cosmological implications of the string swampland conjectures
for late-time cosmology, and test them against a wide range of state of the art
cosmological observations. The refined de Sitter conjecture constrains either
the minimal slope or the curvature of the scalar potential, and depends on two
dimensionless constants. For constants of size one or larger, tension exists
between observations, especially the Hubble constant, and the slope and
curvature conjectures at a level of 4.5 sigma and 2.3 sigma, respectively.
Smaller values of the constants are permitted by observations, and we determine
upper bounds at varying confidence levels. We also derive and constrain the
relationship between cosmological observables and the scalar field excursion
during the acceleration epoch, thereby testing the distance conjecture.
|
[
{
"created": "Wed, 26 Dec 2018 18:30:31 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Jan 2019 19:57:30 GMT",
"version": "v2"
}
] |
2019-04-24
|
[
[
"Raveri",
"Marco",
""
],
[
"Hu",
"Wayne",
""
],
[
"Sethi",
"Savdeep",
""
]
] |
We discuss the cosmological implications of the string swampland conjectures for late-time cosmology, and test them against a wide range of state of the art cosmological observations. The refined de Sitter conjecture constrains either the minimal slope or the curvature of the scalar potential, and depends on two dimensionless constants. For constants of size one or larger, tension exists between observations, especially the Hubble constant, and the slope and curvature conjectures at a level of 4.5 sigma and 2.3 sigma, respectively. Smaller values of the constants are permitted by observations, and we determine upper bounds at varying confidence levels. We also derive and constrain the relationship between cosmological observables and the scalar field excursion during the acceleration epoch, thereby testing the distance conjecture.
| 9.551515
| 9.913466
| 10.130589
| 9.543097
| 10.503636
| 10.334779
| 9.650279
| 9.72194
| 9.469454
| 10.690589
| 9.885147
| 9.386402
| 9.703903
| 9.090846
| 9.39696
| 9.684908
| 9.480834
| 9.108569
| 8.971177
| 9.780968
| 9.199498
|
hep-th/0511030
|
Huan-Xiong Yang
|
Huan-Xiong Yang
|
Moduli Stabilization in Type IIB Flux Compactifications
|
10 pages, LaTeX2e style. The paper is rewritten in ver3 with more
references added
|
Phys.Rev.D73:066006,2006
|
10.1103/PhysRevD.73.066006
| null |
hep-th
| null |
In the present paper, we reexamine the moduli stabilization problem of the
Type IIB orientifolds with one complex structure modulus in a modified two-step
procedure. The full superpotential including both the 3-form fluxes and the
non-perturbative corrections is used to yield a F-term potential. This
potential is simplified by using one optimization condition to integrate the
dilaton field out. It is shown that having a locally stable supersymmetric
Anti-deSitter vacuum is not inevitable for these orientifolds, which depend
strongly upon the details of the flux parameters. For those orientifolds that
have stable/metastable supersymmetry-broken minima of the F-term potential, the
deSitter vacua might emerge even without the inclusion of the uplifting
contributions.
|
[
{
"created": "Thu, 3 Nov 2005 07:19:36 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Nov 2005 10:05:16 GMT",
"version": "v2"
},
{
"created": "Wed, 30 Nov 2005 06:52:41 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Yang",
"Huan-Xiong",
""
]
] |
In the present paper, we reexamine the moduli stabilization problem of the Type IIB orientifolds with one complex structure modulus in a modified two-step procedure. The full superpotential including both the 3-form fluxes and the non-perturbative corrections is used to yield a F-term potential. This potential is simplified by using one optimization condition to integrate the dilaton field out. It is shown that having a locally stable supersymmetric Anti-deSitter vacuum is not inevitable for these orientifolds, which depend strongly upon the details of the flux parameters. For those orientifolds that have stable/metastable supersymmetry-broken minima of the F-term potential, the deSitter vacua might emerge even without the inclusion of the uplifting contributions.
| 10.87793
| 10.05667
| 10.682584
| 9.615682
| 10.458576
| 10.088918
| 10.571546
| 10.425158
| 10.489297
| 11.508564
| 10.066798
| 10.386415
| 10.58329
| 10.302355
| 10.298381
| 10.322579
| 10.306258
| 10.493792
| 10.174589
| 10.678761
| 10.149808
|
hep-th/9806075
|
Tomas Ortin Miguel
|
E. Alvarez, C. Gomez, T. Ortin (I.F.T., Madrid)
|
String Representation of Wilson Loops
|
Latex2e file. Shortened and improved
|
Nucl.Phys. B545 (1999) 217-232
|
10.1016/S0550-3213(99)00103-0
|
IFT-UAM/CSIC-98-1
|
hep-th
| null |
We explore the consequences of imposing Polyakov's zig/zag-invariance in the
search for a confining string. We first find that the requirement of
zig/zag-invariance seems to be incompatible with spacetime supersymmetry. We
then try to find zig/zag-invariant string backgrounds on which to implement the
minimal-area prescription for the calculation of Wilson loops considering
different possibilities.
|
[
{
"created": "Wed, 10 Jun 1998 09:48:09 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Jun 1998 10:13:13 GMT",
"version": "v2"
},
{
"created": "Wed, 17 Jun 1998 10:06:18 GMT",
"version": "v3"
},
{
"created": "Thu, 17 Dec 1998 16:47:34 GMT",
"version": "v4"
}
] |
2009-10-31
|
[
[
"Alvarez",
"E.",
"",
"I.F.T., Madrid"
],
[
"Gomez",
"C.",
"",
"I.F.T., Madrid"
],
[
"Ortin",
"T.",
"",
"I.F.T., Madrid"
]
] |
We explore the consequences of imposing Polyakov's zig/zag-invariance in the search for a confining string. We first find that the requirement of zig/zag-invariance seems to be incompatible with spacetime supersymmetry. We then try to find zig/zag-invariant string backgrounds on which to implement the minimal-area prescription for the calculation of Wilson loops considering different possibilities.
| 15.700939
| 14.180518
| 17.558725
| 14.266575
| 14.952216
| 14.836437
| 14.408074
| 13.357114
| 13.303793
| 19.329815
| 13.429229
| 13.377523
| 16.618145
| 14.126456
| 13.486245
| 14.105553
| 13.324458
| 13.024843
| 14.28658
| 14.954233
| 13.724956
|
hep-th/9912088
|
Mironov
|
A.Mironov, A.Morozov
|
Commuting Hamiltonians from Seiberg-Witten Theta-Functions
|
LaTeX, 9 pages; corrected a grant reference number
|
Phys.Lett. B475 (2000) 71-76
|
10.1016/S0370-2693(00)00075-7
|
FIAN/TD-29/99, ITEP/TH-70/99
|
hep-th
| null |
Elementary MAPLE calculations are used to support the claim of hep-th/9906240
that the ratios of theta-functions, associated with the Seiberg-Witten complex
curves, provide Poisson-commuting Hamiltonians which describe the dual of the
original Seiberg-Witten integrable system.
|
[
{
"created": "Fri, 10 Dec 1999 20:03:38 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Jan 2000 12:05:39 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
]
] |
Elementary MAPLE calculations are used to support the claim of hep-th/9906240 that the ratios of theta-functions, associated with the Seiberg-Witten complex curves, provide Poisson-commuting Hamiltonians which describe the dual of the original Seiberg-Witten integrable system.
| 21.495676
| 14.607903
| 23.540771
| 14.190187
| 14.870395
| 15.248579
| 15.923637
| 14.982605
| 14.946374
| 19.431553
| 14.612864
| 15.386302
| 17.991026
| 16.633438
| 15.705154
| 15.241358
| 15.292801
| 15.021943
| 16.269695
| 15.884926
| 14.915915
|
1909.02170
|
Carlos A. S. Almeida
|
F. C. E. Lima, D. M. Dantas, C. A. S. Almeida
|
New class of solutions of a generalized $O(3)$-sigma Chern-Simons model
|
12 pages, 7 figures
| null |
10.1209/0295-5075/130/10005
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work, we investigated the existence of compacton-like configuration
in the O(3)-sigma model. We consider a minimally coupled O(3)-sigma model with
a gauge field governed by a generalized Chern-Simons term. Contrary to that
established in the literature, we impose a new set of boundary conditions and,
we find solutions of the variable fields and the respective energy density in
the Bogomol'nyi limit. On the other hand, the introduction of a parameter
$\omega$ in the Chern-Simons term can be adjusted to leads to finite-energy
solutions of the model. Moreover, compact-like structures were studied with the
evolution of this $\omega$ generalized Chern-Simons term.
|
[
{
"created": "Thu, 5 Sep 2019 00:46:37 GMT",
"version": "v1"
}
] |
2020-08-26
|
[
[
"Lima",
"F. C. E.",
""
],
[
"Dantas",
"D. M.",
""
],
[
"Almeida",
"C. A. S.",
""
]
] |
In this work, we investigated the existence of compacton-like configuration in the O(3)-sigma model. We consider a minimally coupled O(3)-sigma model with a gauge field governed by a generalized Chern-Simons term. Contrary to that established in the literature, we impose a new set of boundary conditions and, we find solutions of the variable fields and the respective energy density in the Bogomol'nyi limit. On the other hand, the introduction of a parameter $\omega$ in the Chern-Simons term can be adjusted to leads to finite-energy solutions of the model. Moreover, compact-like structures were studied with the evolution of this $\omega$ generalized Chern-Simons term.
| 11.04599
| 9.817287
| 11.405418
| 9.576714
| 9.799793
| 9.794783
| 9.25879
| 9.271054
| 9.094388
| 11.74092
| 9.463376
| 9.567412
| 10.213148
| 9.608914
| 9.249084
| 9.673276
| 9.510674
| 9.704629
| 9.530087
| 10.296702
| 9.716893
|
1605.09510
|
Josef Kluson
|
J. Kluson
|
Note About Unstable D-Brane with Dynamical Tension
|
21 pages
|
Phys. Rev. D 94, 046004 (2016)
|
10.1103/PhysRevD.94.046004
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose an action for unstable Dp-brane with dynamical tension. We show
that the equations of motion are equivalent to the equations of motion derived
from DBI and WZ actions for non-BPS Dp-brane. We also find Hamiltonian
formulation of this action and analyze properties of the solutions
corresponding to the tachyon vacuum and zero tension solution.
|
[
{
"created": "Tue, 31 May 2016 07:24:39 GMT",
"version": "v1"
}
] |
2016-08-17
|
[
[
"Kluson",
"J.",
""
]
] |
We propose an action for unstable Dp-brane with dynamical tension. We show that the equations of motion are equivalent to the equations of motion derived from DBI and WZ actions for non-BPS Dp-brane. We also find Hamiltonian formulation of this action and analyze properties of the solutions corresponding to the tachyon vacuum and zero tension solution.
| 7.980339
| 5.329943
| 9.97567
| 6.083674
| 6.718277
| 6.138029
| 6.034017
| 5.776858
| 6.004882
| 9.067698
| 6.22748
| 6.555303
| 8.404045
| 6.712349
| 6.503759
| 6.459789
| 6.528072
| 6.259509
| 6.873406
| 8.363537
| 6.57475
|
hep-th/9704114
| null |
M. Shifman
|
Non-Perturbative Dynamics in Supersymmetric Gauge Theories
|
121 pages, LATEX, epsfig, 4 figures. Several typos corrected and
references added. Extended version of lectures given at International School
of Physics "Enrico Fermi", Varenna, Italy, July 3-6, 1995; Institute of
Nuclear Science, UNAM, Mexico, April 11-17, 1996, and Summer School in
High-Energy Physics and Cosmology, 10 - 26 July, 1996, ICTP, Triest, Italy
|
Prog.Part.Nucl.Phys.39:1-116,1997
|
10.1016/S0146-6410(97)00042-2
|
TPI-MINN-97/09-T
|
hep-th hep-ph
| null |
I give an introductory review of recent, fascinating developments in
supersymmetric gauge theories. I explain pedagogically the miraculous
properties of supersymmetric gauge dynamics allowing one to obtain exact
solutions in many instances. Various dynamical regimes emerging in
supersymmetric Quantum Chromodynamics and its generalizations are discussed. I
emphasize those features that have a chance of survival in QCD and those which
are drastically different in supersymmetric and non-supersymmetric gauge
theories.
Unlike most of the recent reviews focusing almost entirely on the progress in
extended supersymmetries (the Seiberg-Witten solution of N=2 models), these
lectures are mainly devoted to N=1 theories. The primary task is extracting
lessons for non-supersymmetric theories.
|
[
{
"created": "Tue, 15 Apr 1997 01:14:29 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Oct 1997 20:29:54 GMT",
"version": "v2"
}
] |
2011-04-15
|
[
[
"Shifman",
"M.",
""
]
] |
I give an introductory review of recent, fascinating developments in supersymmetric gauge theories. I explain pedagogically the miraculous properties of supersymmetric gauge dynamics allowing one to obtain exact solutions in many instances. Various dynamical regimes emerging in supersymmetric Quantum Chromodynamics and its generalizations are discussed. I emphasize those features that have a chance of survival in QCD and those which are drastically different in supersymmetric and non-supersymmetric gauge theories. Unlike most of the recent reviews focusing almost entirely on the progress in extended supersymmetries (the Seiberg-Witten solution of N=2 models), these lectures are mainly devoted to N=1 theories. The primary task is extracting lessons for non-supersymmetric theories.
| 11.301523
| 11.662691
| 12.140602
| 11.001537
| 11.639826
| 12.987564
| 11.483373
| 10.948188
| 10.568968
| 12.516775
| 11.193474
| 10.505886
| 11.109249
| 10.570369
| 10.818445
| 10.701903
| 10.430179
| 10.609422
| 10.346672
| 10.963685
| 10.70974
|
hep-th/0609065
|
Christian Schubert
|
G.V. Dunne, A. Huet (Univ. of Connnecticut), D. Rivera (UTPA), C.
Schubert (Univ. of Michoacan)
|
Closed-form weak-field expansion of two-loop Euler-Heisenberg
Lagrangians
|
12 pages
|
JHEP0611:013,2006
|
10.1088/1126-6708/2006/11/013
| null |
hep-th
| null |
We obtain closed-form expressions, in terms of the Faulhaber numbers, for the
weak-field expansion coefficients of the two-loop Euler-Heisenberg effective
Lagrangians in a magnetic or electric field. This follows from the observation
that the magnetic worldline Green's function has a natural expansion in terms
of the Faulhaber numbers.
|
[
{
"created": "Sun, 10 Sep 2006 17:31:33 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Dunne",
"G. V.",
"",
"Univ. of Connnecticut"
],
[
"Huet",
"A.",
"",
"Univ. of Connnecticut"
],
[
"Rivera",
"D.",
"",
"UTPA"
],
[
"Schubert",
"C.",
"",
"Univ. of Michoacan"
]
] |
We obtain closed-form expressions, in terms of the Faulhaber numbers, for the weak-field expansion coefficients of the two-loop Euler-Heisenberg effective Lagrangians in a magnetic or electric field. This follows from the observation that the magnetic worldline Green's function has a natural expansion in terms of the Faulhaber numbers.
| 10.092322
| 8.09352
| 9.175435
| 7.801947
| 8.38507
| 7.674101
| 7.974036
| 8.741106
| 7.724548
| 10.442598
| 7.952432
| 7.78627
| 9.357042
| 8.517313
| 8.828888
| 8.417586
| 7.991584
| 8.11484
| 8.532461
| 8.869952
| 8.169106
|
2110.06038
|
Ghazal Geshnizjani
|
Amjad Ashoorioon, Ghazal Geshnizjani, Hyung J. Kim
|
Non-Gaussianities in the Extended EFT of Inflation
|
30 pages, 5 figures, 3 tables (updated to match the published
version)
|
JCAP 01 (2022) 01, 046
|
10.1088/1475-7516/2022/01/046
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
In earlier works, we studied the validity of Extended Effective Field Theory
of Inflation (EEFToI) in the regime where initial conditions are set with
dispersion relations $\omega^2 \propto k^6$. We had also evaluated and examined
the power spectrum for some interesting corners of the parameter space. In this
paper, we compute the bispectrum in the EEFToI, take a closer look at the
strong coupling constraints and calculate the size of the non-Gaussianities in
those regions of parameter space. We also investigate the shape of triangles
that contribute to the enhancement of non-Gaussianities in this regime. We find
that there are allowed parts of parameter spaces where EEFToI description with
initial conditions set with $\omega^2 \propto k^6$ is sensible and interesting.
|
[
{
"created": "Tue, 12 Oct 2021 14:37:05 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Apr 2023 16:03:14 GMT",
"version": "v2"
}
] |
2023-04-28
|
[
[
"Ashoorioon",
"Amjad",
""
],
[
"Geshnizjani",
"Ghazal",
""
],
[
"Kim",
"Hyung J.",
""
]
] |
In earlier works, we studied the validity of Extended Effective Field Theory of Inflation (EEFToI) in the regime where initial conditions are set with dispersion relations $\omega^2 \propto k^6$. We had also evaluated and examined the power spectrum for some interesting corners of the parameter space. In this paper, we compute the bispectrum in the EEFToI, take a closer look at the strong coupling constraints and calculate the size of the non-Gaussianities in those regions of parameter space. We also investigate the shape of triangles that contribute to the enhancement of non-Gaussianities in this regime. We find that there are allowed parts of parameter spaces where EEFToI description with initial conditions set with $\omega^2 \propto k^6$ is sensible and interesting.
| 8.467421
| 9.422743
| 8.20318
| 8.679778
| 8.721922
| 8.094172
| 8.958687
| 8.407538
| 7.75644
| 9.241149
| 8.399285
| 8.166214
| 8.494522
| 8.107581
| 8.198766
| 8.270811
| 7.98118
| 8.098668
| 8.019026
| 8.231595
| 8.076632
|
1907.06104
|
H. T. Ozer
|
H. T. \"Ozer, Ayt\"ul Filiz
|
Exploring new Boundary Conditions for $\mathcal{N}=(1,1)$ Extended
Higher Spin $AdS_3$ Supergravity
|
25 pages, no figures, LaTeX file, Sec.4 added, added references, a
few typos corrected
|
Eur. Phys. J. C (2020) 80:1072
|
10.1140/epjc/s10052-020-08613-4
| null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we present a candidate for $\mathcal{N}=(1,1)$ extended higher
- spin $AdS_3$ supergravity with the most general boundary conditions discussed
by Grumiller and Riegler recently. We show that the asymptotic symmetry algebra
consists of two copies of the $\mathfrak{osp}(3|2)_k$ affine algebra in the
presence of the most general boundary conditions.Furthermore, we impose some
certain restrictions on gauge fields on the most general boundary conditions
and that leads us to the supersymmetric extension of the Brown - Henneaux
boundary conditions. We eventually see that the asymptotic symmetry algebra
reduces to two copies of the $\mathcal{SW}(\frac{3}{2},2)$ algebra for
$\mathcal{N}=(1,1)$ extended higher - spin supergravity.
|
[
{
"created": "Sat, 13 Jul 2019 16:44:07 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Jul 2019 11:41:43 GMT",
"version": "v2"
},
{
"created": "Sun, 3 May 2020 20:08:49 GMT",
"version": "v3"
},
{
"created": "Sun, 22 Nov 2020 08:45:54 GMT",
"version": "v4"
}
] |
2020-11-24
|
[
[
"Özer",
"H. T.",
""
],
[
"Filiz",
"Aytül",
""
]
] |
In this paper, we present a candidate for $\mathcal{N}=(1,1)$ extended higher - spin $AdS_3$ supergravity with the most general boundary conditions discussed by Grumiller and Riegler recently. We show that the asymptotic symmetry algebra consists of two copies of the $\mathfrak{osp}(3|2)_k$ affine algebra in the presence of the most general boundary conditions.Furthermore, we impose some certain restrictions on gauge fields on the most general boundary conditions and that leads us to the supersymmetric extension of the Brown - Henneaux boundary conditions. We eventually see that the asymptotic symmetry algebra reduces to two copies of the $\mathcal{SW}(\frac{3}{2},2)$ algebra for $\mathcal{N}=(1,1)$ extended higher - spin supergravity.
| 6.146419
| 5.401731
| 6.851423
| 5.339838
| 5.843776
| 5.455273
| 5.838438
| 5.198024
| 5.480122
| 7.265906
| 5.448492
| 5.745213
| 5.823873
| 5.640642
| 5.885567
| 5.700911
| 5.77054
| 5.756904
| 5.662026
| 6.209167
| 5.67743
|
0804.4036
|
Changrim Ahn
|
Changrim Ahn, Rafael Nepomechie
|
The Zamolodchikov-Faddeev algebra for open strings attached to giant
gravitons
|
22 pages, no figure; added a reference
|
JHEP 0805:059,2008
|
10.1088/1126-6708/2008/05/059
|
UMTG-256
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We extend the Zamolodchikov-Faddeev algebra for the superstring sigma model
on $AdS_{5}\times S^{5}$, which was formulated by Arutyunov, Frolov and
Zamaklar, to the case of open strings attached to maximal giant gravitons,
which was recently considered by Hofman and Maldacena. We obtain boundary
$S$-matrices which satisfy the standard boundary Yang-Baxter equation.
|
[
{
"created": "Fri, 25 Apr 2008 02:14:37 GMT",
"version": "v1"
},
{
"created": "Thu, 1 May 2008 14:33:22 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Ahn",
"Changrim",
""
],
[
"Nepomechie",
"Rafael",
""
]
] |
We extend the Zamolodchikov-Faddeev algebra for the superstring sigma model on $AdS_{5}\times S^{5}$, which was formulated by Arutyunov, Frolov and Zamaklar, to the case of open strings attached to maximal giant gravitons, which was recently considered by Hofman and Maldacena. We obtain boundary $S$-matrices which satisfy the standard boundary Yang-Baxter equation.
| 4.944348
| 3.909463
| 6.303551
| 4.227851
| 4.150479
| 4.644707
| 4.501311
| 4.370216
| 4.787944
| 5.919299
| 4.346665
| 4.904802
| 5.367242
| 4.624336
| 4.603914
| 4.73433
| 4.806688
| 4.75216
| 4.707169
| 5.285861
| 4.626265
|
hep-th/9302032
| null |
D. Dalmazi and E. Abdalla
|
Correlators in non-critical superstrings including the spinor emission
vertex
|
IFUSP preprint 1029, 10 pages
|
Phys.Lett. B312 (1993) 398-404
|
10.1016/0370-2693(93)90974-M
| null |
hep-th
| null |
We discuss the structure of correlators involving the spinor emission vertex
in non critical $N=1$ superstring theory. The technique used in the computation
is the zero mode integration to arrive at the integral representation, and
later an analysis of the pole structure of the integrals which are thus
obtained. Our analysis has been done primarily for the 5-point functions. The
result confirms previous expectations and prepares ground for a comparison with
computations using matrix models techniques.
|
[
{
"created": "Tue, 9 Feb 1993 11:44:37 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Dalmazi",
"D.",
""
],
[
"Abdalla",
"E.",
""
]
] |
We discuss the structure of correlators involving the spinor emission vertex in non critical $N=1$ superstring theory. The technique used in the computation is the zero mode integration to arrive at the integral representation, and later an analysis of the pole structure of the integrals which are thus obtained. Our analysis has been done primarily for the 5-point functions. The result confirms previous expectations and prepares ground for a comparison with computations using matrix models techniques.
| 21.105125
| 19.767847
| 23.628862
| 17.745667
| 17.422409
| 20.581623
| 18.926971
| 17.143808
| 18.254639
| 23.703726
| 18.216005
| 18.361677
| 20.851368
| 17.988157
| 18.25281
| 18.71627
| 18.279341
| 17.943331
| 18.452154
| 20.738192
| 18.956856
|
hep-th/0205268
|
Laurent Freidel
|
Laurent Freidel (PI, ENS-Lyon), Etera R. Livine (CPT Marseille)
|
Spin Networks for Non-Compact Groups
|
43pages, many figures, some comments added
|
J.Math.Phys. 44 (2003) 1322-1356
|
10.1063/1.1521522
| null |
hep-th gr-qc
| null |
Spin networks are natural generalization of Wilson loops functionals. They
have been extensively studied in the case where the gauge group is compact and
it has been shown that they naturally form a basis of gauge invariant
observables. Physically the restriction to compact gauge group is enough for
the study of Yang-mills theories, however it is well known that non-compact
groups naturally arise as internal gauge groups for Lorentzian gravity models.
In this context a proper construction of gauge invariant observables is needed.
The purpose of this work is to define the notion of spin network states for
non-compact groups. We first built, by a careful gauge fixing procedure, a
natural measure and a Hilbert space structure on the space of gauge invariant
graph connection. Spin networks are then defined as generalized eigenvectors of
a complete set of hermitic commuting operators. We show how the delicate issue
of taking the quotient of a space by non compact groups can be address in term
of algebraic geometry. We finally construct the full Hilbert space containing
all spin network states. Having in mind application to gravity we illustrate
our results for the groups SL(2,R), SL(2,C).
|
[
{
"created": "Mon, 27 May 2002 16:02:51 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Jun 2002 10:06:46 GMT",
"version": "v2"
}
] |
2015-06-26
|
[
[
"Freidel",
"Laurent",
"",
"PI, ENS-Lyon"
],
[
"Livine",
"Etera R.",
"",
"CPT Marseille"
]
] |
Spin networks are natural generalization of Wilson loops functionals. They have been extensively studied in the case where the gauge group is compact and it has been shown that they naturally form a basis of gauge invariant observables. Physically the restriction to compact gauge group is enough for the study of Yang-mills theories, however it is well known that non-compact groups naturally arise as internal gauge groups for Lorentzian gravity models. In this context a proper construction of gauge invariant observables is needed. The purpose of this work is to define the notion of spin network states for non-compact groups. We first built, by a careful gauge fixing procedure, a natural measure and a Hilbert space structure on the space of gauge invariant graph connection. Spin networks are then defined as generalized eigenvectors of a complete set of hermitic commuting operators. We show how the delicate issue of taking the quotient of a space by non compact groups can be address in term of algebraic geometry. We finally construct the full Hilbert space containing all spin network states. Having in mind application to gravity we illustrate our results for the groups SL(2,R), SL(2,C).
| 8.970337
| 10.399092
| 9.759558
| 8.769348
| 9.611389
| 9.9225
| 9.918523
| 9.352457
| 9.42689
| 11.043341
| 9.332815
| 9.320039
| 9.086976
| 9.074571
| 9.276413
| 9.165149
| 9.035365
| 9.310058
| 9.264915
| 9.48135
| 9.063435
|
hep-th/0608111
|
Antti J. Niemi
|
Ludvig D. Faddeev and Antti J. Niemi
|
Spin-Charge Separation, Conformal Covariance and the SU(2) Yang-Mills
Theory
|
some misprints in equations corrected
|
Nucl.Phys.B776:38-65,2007
|
10.1016/j.nuclphysb.2006.12.011
| null |
hep-th cond-mat.str-el gr-qc hep-lat hep-ph
| null |
In the low energy domain of four-dimensional SU(2) Yang-Mills theory the spin
and the charge of the gauge field can become separated from each other. The
ensuing field variables describe the interacting dynamics between a version of
the O(3) nonlinear $\sigma$-model and a nonlinear Grassmannian $\sigma$-model,
both of which may support closed knotted strings as stable solitons. Lorentz
transformations act projectively in the O(3) model which breaks global internal
rotation symmetry and removes massless Goldstone bosons from the particle
spectrum. The entire Yang-Mills Lagrangian can be recast into a generally
covariant form with a conformally flat metric tensor. The result contains the
Einstein-Hilbert Lagrangian together with a nonvanishing cosmological constant,
and insinuates the presence of a novel dimensionfull parameter in the
Yang-Mills theory.
|
[
{
"created": "Wed, 16 Aug 2006 14:17:18 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Aug 2006 19:00:58 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Faddeev",
"Ludvig D.",
""
],
[
"Niemi",
"Antti J.",
""
]
] |
In the low energy domain of four-dimensional SU(2) Yang-Mills theory the spin and the charge of the gauge field can become separated from each other. The ensuing field variables describe the interacting dynamics between a version of the O(3) nonlinear $\sigma$-model and a nonlinear Grassmannian $\sigma$-model, both of which may support closed knotted strings as stable solitons. Lorentz transformations act projectively in the O(3) model which breaks global internal rotation symmetry and removes massless Goldstone bosons from the particle spectrum. The entire Yang-Mills Lagrangian can be recast into a generally covariant form with a conformally flat metric tensor. The result contains the Einstein-Hilbert Lagrangian together with a nonvanishing cosmological constant, and insinuates the presence of a novel dimensionfull parameter in the Yang-Mills theory.
| 9.794596
| 9.753859
| 10.008172
| 9.407763
| 10.059114
| 9.656755
| 9.423452
| 9.879333
| 9.480265
| 11.283403
| 9.765204
| 9.738341
| 9.756411
| 9.301735
| 9.650847
| 9.489523
| 9.524575
| 9.220203
| 9.280021
| 9.615288
| 9.550306
|
2008.11759
|
Joshua Sandor
|
Simon Caron-Huot and Joshua Sandor
|
Conformal Regge Theory at Finite Boost
|
29+5 pages, 17 figures
| null |
10.1007/JHEP05(2021)059
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Operator Product Expansion is a useful tool to represent correlation
functions. In this note we extend Conformal Regge theory to provide an exact
OPE representation of Lorenzian four-point correlators in conformal field
theory, valid even away from Regge limit. The representation extends
convergence of the OPE by rewriting it as a double integral over continuous
spins and dimensions, and features a novel "Regge block". We test the formula
in the conformal fishnet theory, where exact results involving nontrivial Regge
trajectories are available.
|
[
{
"created": "Wed, 26 Aug 2020 18:44:33 GMT",
"version": "v1"
}
] |
2021-05-26
|
[
[
"Caron-Huot",
"Simon",
""
],
[
"Sandor",
"Joshua",
""
]
] |
The Operator Product Expansion is a useful tool to represent correlation functions. In this note we extend Conformal Regge theory to provide an exact OPE representation of Lorenzian four-point correlators in conformal field theory, valid even away from Regge limit. The representation extends convergence of the OPE by rewriting it as a double integral over continuous spins and dimensions, and features a novel "Regge block". We test the formula in the conformal fishnet theory, where exact results involving nontrivial Regge trajectories are available.
| 11.580606
| 10.653626
| 15.486815
| 10.454446
| 10.709411
| 11.186678
| 11.539173
| 10.456602
| 10.648164
| 14.741996
| 10.312533
| 10.33681
| 12.373113
| 10.903087
| 10.511438
| 11.100784
| 11.494143
| 10.603083
| 10.990574
| 11.789943
| 10.67537
|
0803.0081
|
Amos Yarom
|
Steven S. Gubser and Amos Yarom
|
Linearized hydrodynamics from probe-sources in the gauge-string duality
|
43 pages, 3 appendices
|
Nucl.Phys.B813:188-219,2009
|
10.1016/j.nuclphysb.2008.12.032
|
PUPT-2258, LMU-ASC 10/08
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the response of an infinite, asymptotically static N=4 plasma to a
generic localized source in the probe approximation. At large distances, the
energy momentum tensor of the plasma includes a term which satisfies the
constitutive relations of linearized hydrodynamics, but it can also include a
non-hydrodynamical term which contributes at the same order as viscous
corrections, or even at leading order in some cases. The conditions for the
appearance of a laminar wake far behind the source and its relevance for
phenomenological models used to explain di-hadron correlations are discussed.
We also consider the energy momentum tensor near the source, where the
hydrodynamical approximation can be expected to break down. Our analysis
encompasses a wide range of sources which are localized in the bulk of AdS,
including trailing strings, mesonic and baryonic configurations of strings, and
point particles.
|
[
{
"created": "Sat, 1 Mar 2008 21:06:40 GMT",
"version": "v1"
}
] |
2009-12-15
|
[
[
"Gubser",
"Steven S.",
""
],
[
"Yarom",
"Amos",
""
]
] |
We study the response of an infinite, asymptotically static N=4 plasma to a generic localized source in the probe approximation. At large distances, the energy momentum tensor of the plasma includes a term which satisfies the constitutive relations of linearized hydrodynamics, but it can also include a non-hydrodynamical term which contributes at the same order as viscous corrections, or even at leading order in some cases. The conditions for the appearance of a laminar wake far behind the source and its relevance for phenomenological models used to explain di-hadron correlations are discussed. We also consider the energy momentum tensor near the source, where the hydrodynamical approximation can be expected to break down. Our analysis encompasses a wide range of sources which are localized in the bulk of AdS, including trailing strings, mesonic and baryonic configurations of strings, and point particles.
| 9.00428
| 9.883145
| 9.092184
| 8.821774
| 9.173412
| 10.002289
| 8.975848
| 9.239572
| 8.769213
| 9.668015
| 9.638447
| 8.976344
| 9.689063
| 8.757571
| 8.882116
| 9.137321
| 8.664617
| 8.722898
| 8.884943
| 9.179477
| 9.063088
|
0905.4633
|
Stefano Bellucci
|
Stefano Bellucci and Sergey Krivonos
|
Potentials in N=4 superconformal mechanics
|
12 pages, PACS number: 12.60.Jv
| null |
10.1103/PhysRevD.80.065022
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Proceeding from nonlinear realizations of (super)conformal symmetries, we
explicitly demonstrate that adding the harmonic oscillator potential to the
action of conformal mechanics does not break these symmetries but modifies the
transformation properties of the (super)fields. We also analyze the possibility
to introduce potentials in N=4 supersymmetric mechanics by coupling it with
auxiliary fermionic superfields. The new coupling we considered does not
introduce new fermionic degrees of freedom - all our additional fermions are
purely auxiliary ones. The new bosonic components have a first order kinetic
term and therefore they serve as spin degrees of freedom. The resulting system
contains, besides the potential term in the bosonic sector, a non-trivial
spin-like interaction in the fermionic sector. The superconformal mechanics we
constructed in this paper is invariant under the full $D(2,1;\alpha)$
superconformal group. This invariance is not evident and is achieved within
modified (super)conformal transformations of the superfields.
|
[
{
"created": "Thu, 28 May 2009 12:51:54 GMT",
"version": "v1"
}
] |
2015-05-13
|
[
[
"Bellucci",
"Stefano",
""
],
[
"Krivonos",
"Sergey",
""
]
] |
Proceeding from nonlinear realizations of (super)conformal symmetries, we explicitly demonstrate that adding the harmonic oscillator potential to the action of conformal mechanics does not break these symmetries but modifies the transformation properties of the (super)fields. We also analyze the possibility to introduce potentials in N=4 supersymmetric mechanics by coupling it with auxiliary fermionic superfields. The new coupling we considered does not introduce new fermionic degrees of freedom - all our additional fermions are purely auxiliary ones. The new bosonic components have a first order kinetic term and therefore they serve as spin degrees of freedom. The resulting system contains, besides the potential term in the bosonic sector, a non-trivial spin-like interaction in the fermionic sector. The superconformal mechanics we constructed in this paper is invariant under the full $D(2,1;\alpha)$ superconformal group. This invariance is not evident and is achieved within modified (super)conformal transformations of the superfields.
| 9.607158
| 9.727903
| 10.193192
| 9.030208
| 9.746083
| 8.912579
| 9.78822
| 9.08742
| 9.295572
| 10.513808
| 9.269142
| 9.070525
| 9.350604
| 8.825349
| 9.047102
| 9.140919
| 8.964539
| 9.220314
| 8.978566
| 9.409627
| 8.842781
|
1306.0145
|
Andrei Mikhailov
|
Osvaldo Chandia, Andrei Mikhailov and Brenno C. Vallilo
|
A construction of integrated vertex operator in the pure spinor
sigma-model in AdS5xS5
|
LaTeX 13pp; v2: correction in Section 4.1
| null |
10.1007/JHEP11(2013)124
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Vertex operators in string theory come in two varieties: integrated and
unintegrated. Understanding both types is important for the calculation of the
string theory amplitudes. The relation between them is a descent procedure
typically involving the b-ghost. In the pure spinor formalism vertex operators
can be identified as cohomology classes of an infinite-dimensional Lie
superalgebra formed by covariant derivatives. We show that in this language the
construction of the integrated vertex from an unintegrated vertex is very
straightforward, and amounts to the evaluation of the cocycle on the
generalized Lax currents.
|
[
{
"created": "Sat, 1 Jun 2013 20:03:48 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Sep 2013 21:51:14 GMT",
"version": "v2"
}
] |
2015-06-16
|
[
[
"Chandia",
"Osvaldo",
""
],
[
"Mikhailov",
"Andrei",
""
],
[
"Vallilo",
"Brenno C.",
""
]
] |
Vertex operators in string theory come in two varieties: integrated and unintegrated. Understanding both types is important for the calculation of the string theory amplitudes. The relation between them is a descent procedure typically involving the b-ghost. In the pure spinor formalism vertex operators can be identified as cohomology classes of an infinite-dimensional Lie superalgebra formed by covariant derivatives. We show that in this language the construction of the integrated vertex from an unintegrated vertex is very straightforward, and amounts to the evaluation of the cocycle on the generalized Lax currents.
| 10.302487
| 11.508102
| 11.213978
| 10.012621
| 11.210379
| 11.895436
| 11.275227
| 10.398005
| 9.942775
| 10.481873
| 10.443293
| 10.456687
| 10.285206
| 10.029065
| 10.305518
| 9.960021
| 10.421616
| 9.92922
| 9.961624
| 9.915118
| 10.103464
|
1704.02905
|
Jan Ambjorn
|
J. Ambjorn and Y. Watabiki
|
CDT and the Big Bang
| null | null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We describe a CDT-like model where breaking of W3 symmetry will lead to the
emergence of time and subsequently of space. Surprisingly the simplest such
models which lead to higher dimensional spacetimes are based on the four
"magical" Jordan algebras of 3x3 Hermitian matrices with real, complex,
quaternion and octonion entries, respectively. The simplest symmetry breaking
leads to universes with spacetime dimensions 3, 4, 6, and 10.
|
[
{
"created": "Mon, 10 Apr 2017 15:25:26 GMT",
"version": "v1"
}
] |
2017-04-11
|
[
[
"Ambjorn",
"J.",
""
],
[
"Watabiki",
"Y.",
""
]
] |
We describe a CDT-like model where breaking of W3 symmetry will lead to the emergence of time and subsequently of space. Surprisingly the simplest such models which lead to higher dimensional spacetimes are based on the four "magical" Jordan algebras of 3x3 Hermitian matrices with real, complex, quaternion and octonion entries, respectively. The simplest symmetry breaking leads to universes with spacetime dimensions 3, 4, 6, and 10.
| 11.902049
| 8.889785
| 11.762217
| 9.923327
| 9.313006
| 8.707453
| 8.5174
| 9.630958
| 9.755021
| 13.226204
| 9.885141
| 11.14758
| 11.153602
| 10.86507
| 10.626639
| 10.694416
| 10.970277
| 10.703476
| 10.724471
| 11.736518
| 10.57624
|
hep-th/0208077
|
Andrei Mikhailov
|
Andrei Mikhailov
|
Nonspherical Giant Gravitons and Matrix Theory
|
10 pages, LaTeX; references and explanations added; minor corrections
| null | null |
NSF-ITP-02-59, ITEP-TH-38/02
|
hep-th
| null |
We consider the plane wave limit of the nonspherical giant gravitons. We
compute the Poisson brackets of the coordinate functions and find a nonlinear
algebra. We show that this algebra solves the supersymmetry conditions of the
matrix model. This is the generalization of the algebraic realization of the
spherical membrane as the ``fuzzy sphere''. We describe finite dimensional
representations of the algebra corresponding to the fuzzy torus.
|
[
{
"created": "Sat, 10 Aug 2002 17:06:00 GMT",
"version": "v1"
},
{
"created": "Sat, 5 Apr 2003 02:28:45 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Mikhailov",
"Andrei",
""
]
] |
We consider the plane wave limit of the nonspherical giant gravitons. We compute the Poisson brackets of the coordinate functions and find a nonlinear algebra. We show that this algebra solves the supersymmetry conditions of the matrix model. This is the generalization of the algebraic realization of the spherical membrane as the ``fuzzy sphere''. We describe finite dimensional representations of the algebra corresponding to the fuzzy torus.
| 14.026361
| 11.465347
| 14.700416
| 11.245045
| 13.610181
| 13.132661
| 12.546905
| 11.715768
| 12.443594
| 16.342985
| 12.232115
| 11.433586
| 13.560679
| 11.895268
| 11.929948
| 11.802705
| 11.767095
| 11.979073
| 12.212864
| 14.032042
| 11.791092
|
hep-th/9512064
|
Shinya Wada
|
Hideaki Aoyama, Toshiyuki Harano, Masatoshi Sato, Shinya Wada
|
Valley Instanton versus Constrained Instanton
|
37 pages, 8 eps figures, LaTeX, uses epsf.sty, citesort.sty and
wrapfig2.sty. Minor modifications
|
Nucl.Phys. B466 (1996) 127-158
|
10.1016/0550-3213(96)00066-1
|
KUCP-0084, KUNS-1369 HE(TH)95/19
|
hep-th
| null |
Based on the new valley equation, we propose the most plausible method for
constructing instanton-like configurations in the theory where the presence of
a mass scale prevents the existence of the classical solution with a finite
radius. We call the resulting instanton-like configuration as valley instanton.
The detail comparison between the valley instanton and the constrained
instanton in $\phi^4$ theory and the gauge-Higgs system are carried out. For
instanton-like configurations with large radii, there appear remarkable
differences between them. These differences are essential in calculating the
baryon number violating processes with multi bosons.
|
[
{
"created": "Mon, 11 Dec 1995 08:50:05 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Dec 1995 05:01:26 GMT",
"version": "v2"
},
{
"created": "Thu, 14 Dec 1995 03:06:24 GMT",
"version": "v3"
}
] |
2009-10-28
|
[
[
"Aoyama",
"Hideaki",
""
],
[
"Harano",
"Toshiyuki",
""
],
[
"Sato",
"Masatoshi",
""
],
[
"Wada",
"Shinya",
""
]
] |
Based on the new valley equation, we propose the most plausible method for constructing instanton-like configurations in the theory where the presence of a mass scale prevents the existence of the classical solution with a finite radius. We call the resulting instanton-like configuration as valley instanton. The detail comparison between the valley instanton and the constrained instanton in $\phi^4$ theory and the gauge-Higgs system are carried out. For instanton-like configurations with large radii, there appear remarkable differences between them. These differences are essential in calculating the baryon number violating processes with multi bosons.
| 14.487928
| 14.415273
| 12.535111
| 12.707017
| 13.500216
| 14.585856
| 13.614612
| 13.4779
| 13.10854
| 14.642867
| 13.541605
| 13.181741
| 12.779979
| 12.702976
| 13.303666
| 13.127646
| 13.000861
| 13.073947
| 13.090972
| 12.812937
| 13.182075
|
hep-th/9602036
|
J. C. Gallardo
|
Jose F. Cari\~nena and J. Nasarre
|
On the symplectic structures arising in Optics
|
AmsTeX file and 2 figures (epsf required). To appear in Forsch. der
Physik. This version replaces that of (96/02/09) where postcript files
containing figures were corrupted
|
Fortsch.Phys. 44 (1996) 181-198
|
10.1002/prop.2190440302
|
DFTUZ 96/05
|
hep-th
| null |
Geometric optics is analysed using the techniques of Presymplectic Geometry.
We obtain the symplectic structure of the space of light rays in a medium of a
non constant refractive index by reduction from a presymplectic structure, and
using adapted coordinates, we find Darboux coordinates. The theory is
illustrated with some examples and we point out some simple physical
applications
|
[
{
"created": "Thu, 8 Feb 1996 09:40:06 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Feb 1996 18:07:11 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Cariñena",
"Jose F.",
""
],
[
"Nasarre",
"J.",
""
]
] |
Geometric optics is analysed using the techniques of Presymplectic Geometry. We obtain the symplectic structure of the space of light rays in a medium of a non constant refractive index by reduction from a presymplectic structure, and using adapted coordinates, we find Darboux coordinates. The theory is illustrated with some examples and we point out some simple physical applications
| 11.443919
| 10.845391
| 11.05689
| 10.096047
| 11.23961
| 11.656244
| 11.384556
| 10.768991
| 10.509172
| 11.000454
| 10.198933
| 10.892382
| 11.061138
| 10.626482
| 10.573443
| 10.797178
| 10.570596
| 11.097501
| 10.873874
| 10.264927
| 10.417026
|
hep-th/9411171
|
Nicholas Landsman
|
N.P. Landsman
|
The infinite unitary group, Howe dual pairs, and the quantization of
constrained systems
|
LaTeX, 43 pages
| null | null | null |
hep-th
| null |
The irreducible unitary representations of the Banach Lie group $U_0(\H)$
(which is the norm-closure of the inductive limit $\cup_k U(k)$) of unitary
operators on a separable Hilbert space $\H$, which were found by Kirillov and
Ol'shanskii, are reconstructed from quantization theory. Firstly, the coadjoint
orbits of this group are realized as Marsden-Weinstein symplectic quotients in
the setting of dual pairs. Secondly, these quotients are quantized on the basis
of the author's earlier proposal to quantize a more general symplectic
reduction procedure by means of Rieffel induction (a technique in the theory of
operator algebras). As a warmup, the simplest such orbit, the projective
Hilbert space, is first quantized using geometric quantization, and then again
with Rieffel induction. Reduction and induction have to be performed with
either $U(M)$ or $U(M,N)$. The former case is straightforward, unless the
half-form correction to the (geometric) quantization of the unconstrained
system is applied. The latter case, in which one induces from holomorphic
discrete series representations, is problematic. For finite-dimensional
$\H=\C^k$, the desired result is only obtained if one ignores half-forms, and
induces from a representation, `half' of whose highest weight is shifted by $k$
(relative to the naive orbit correspondence). This presumably poses a problem
for any theory of quantizing constrained systems.
|
[
{
"created": "Wed, 23 Nov 1994 17:34:24 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Landsman",
"N. P.",
""
]
] |
The irreducible unitary representations of the Banach Lie group $U_0(\H)$ (which is the norm-closure of the inductive limit $\cup_k U(k)$) of unitary operators on a separable Hilbert space $\H$, which were found by Kirillov and Ol'shanskii, are reconstructed from quantization theory. Firstly, the coadjoint orbits of this group are realized as Marsden-Weinstein symplectic quotients in the setting of dual pairs. Secondly, these quotients are quantized on the basis of the author's earlier proposal to quantize a more general symplectic reduction procedure by means of Rieffel induction (a technique in the theory of operator algebras). As a warmup, the simplest such orbit, the projective Hilbert space, is first quantized using geometric quantization, and then again with Rieffel induction. Reduction and induction have to be performed with either $U(M)$ or $U(M,N)$. The former case is straightforward, unless the half-form correction to the (geometric) quantization of the unconstrained system is applied. The latter case, in which one induces from holomorphic discrete series representations, is problematic. For finite-dimensional $\H=\C^k$, the desired result is only obtained if one ignores half-forms, and induces from a representation, `half' of whose highest weight is shifted by $k$ (relative to the naive orbit correspondence). This presumably poses a problem for any theory of quantizing constrained systems.
| 9.852958
| 11.488291
| 10.696073
| 10.432375
| 11.136776
| 11.671417
| 11.592561
| 10.990388
| 10.409601
| 12.309267
| 10.66168
| 9.450958
| 9.697247
| 9.278041
| 9.900173
| 9.703842
| 9.691566
| 9.567429
| 9.298369
| 9.898581
| 9.379443
|
0712.0850
|
Sergey Cherkis
|
Sergey A. Cherkis and Brian Durcan
|
Singular Monopoles via the Nahm Transform
|
10 pages, LaTeX
|
JHEP0804:070,2008
|
10.1088/1126-6708/2008/04/070
|
TCDMATH 07-23, HMI 07-10
|
hep-th
| null |
We present explicit expressions for the fields of a charge one BPS monopole
with two Dirac singularities. These are solutions of the nonlinear Bogomolny
equations with the gauge group U(2) or SO(3). We derive these expressions by
applying the technique of the Nahm transform. By exploring various limits we
find a number of other solutions.
|
[
{
"created": "Wed, 5 Dec 2007 23:37:26 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Cherkis",
"Sergey A.",
""
],
[
"Durcan",
"Brian",
""
]
] |
We present explicit expressions for the fields of a charge one BPS monopole with two Dirac singularities. These are solutions of the nonlinear Bogomolny equations with the gauge group U(2) or SO(3). We derive these expressions by applying the technique of the Nahm transform. By exploring various limits we find a number of other solutions.
| 10.161479
| 8.102996
| 11.064791
| 9.279466
| 8.105005
| 8.492209
| 8.5358
| 8.366259
| 8.39596
| 13.658128
| 8.035786
| 8.678601
| 10.224377
| 8.64924
| 8.968266
| 8.502761
| 8.483207
| 8.896835
| 8.795799
| 9.996694
| 8.699193
|
1402.6937
|
Dmitry Ageev
|
D. S. Ageev and I.Ya. Aref'eva
|
Holography and non-local operators in the BTZ black hole with non-zero
angular momentum
|
LaTex, 18 pages, 10 figures
| null |
10.1007/s11232-014-0186-6
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study quark-antiquark potential using the AdS/CFT correspondence in the
BTZ black hole with non-zero angular momentum. Using explicit form of string
configurations relevant to a calculation of the potential we find that the
potential exhibits different dependencies on angular momentum values in the
Euclidean and the Lorentzian signatures of the BTZ.
|
[
{
"created": "Thu, 27 Feb 2014 15:29:52 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"Ageev",
"D. S.",
""
],
[
"Aref'eva",
"I. Ya.",
""
]
] |
We study quark-antiquark potential using the AdS/CFT correspondence in the BTZ black hole with non-zero angular momentum. Using explicit form of string configurations relevant to a calculation of the potential we find that the potential exhibits different dependencies on angular momentum values in the Euclidean and the Lorentzian signatures of the BTZ.
| 10.331404
| 8.857056
| 9.996701
| 9.212949
| 9.598075
| 8.996758
| 9.990296
| 9.254303
| 9.238181
| 10.428218
| 8.971528
| 8.515406
| 10.467345
| 9.071509
| 9.25302
| 9.113894
| 8.973374
| 9.546333
| 9.030114
| 10.026165
| 8.798199
|
2306.06682
|
ChenWei Tong
|
Chen-Wei Tong, Dong-Hui Du, Jia-Rui Sun
|
Island of Reissner-Nordstr$\mathbf{\ddot{o}}$m anti-de Sitter black
holes in the large $d$ limit
|
25 pages, 7 figures
| null |
10.1103/PhysRevD.109.104053
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the information paradox of Reissner-Nordstr${\ddot{o}}$m anti-de
Sitter (RN-AdS$_{d+1}$) black holes in the large dimension limit by using the
island formula. The entanglement entropy of Hawking radiation is calculated
both for the non-extremal and the extremal cases, in which the boundary of the
radiation region is close to the outer horizon. For the non-extremal case, the
entanglement entropy of Hawking radiation obeys the Page curve, i.e. the
entanglement entropy of Hawking radiation increases with time and reaches
saturation about twice Bekenstein-Hawking entropy at the Page time. For the
extremal case, the entanglement entropy of Hawking radiation becomes
ill-defined in the absence of the island due to the appearance of the
singularity at the origin of the radial coordinate, while when the island
exists, the entanglement entropy is found to be equal to the Bekenstein-Hawking
entropy. In addition, for the case where the boundary of the radiation region
is close to the horizon, there are some obvious constraints required by the
existence of island solution for both non-extremal and extremal cases, which
can be utilized to put constraints on the size of the black hole. These results
reveal new features of the semi-classical large $d$ black holes from the island
perspective.
|
[
{
"created": "Sun, 11 Jun 2023 13:57:08 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Jun 2024 04:18:07 GMT",
"version": "v2"
}
] |
2024-06-17
|
[
[
"Tong",
"Chen-Wei",
""
],
[
"Du",
"Dong-Hui",
""
],
[
"Sun",
"Jia-Rui",
""
]
] |
We study the information paradox of Reissner-Nordstr${\ddot{o}}$m anti-de Sitter (RN-AdS$_{d+1}$) black holes in the large dimension limit by using the island formula. The entanglement entropy of Hawking radiation is calculated both for the non-extremal and the extremal cases, in which the boundary of the radiation region is close to the outer horizon. For the non-extremal case, the entanglement entropy of Hawking radiation obeys the Page curve, i.e. the entanglement entropy of Hawking radiation increases with time and reaches saturation about twice Bekenstein-Hawking entropy at the Page time. For the extremal case, the entanglement entropy of Hawking radiation becomes ill-defined in the absence of the island due to the appearance of the singularity at the origin of the radial coordinate, while when the island exists, the entanglement entropy is found to be equal to the Bekenstein-Hawking entropy. In addition, for the case where the boundary of the radiation region is close to the horizon, there are some obvious constraints required by the existence of island solution for both non-extremal and extremal cases, which can be utilized to put constraints on the size of the black hole. These results reveal new features of the semi-classical large $d$ black holes from the island perspective.
| 4.863372
| 4.383706
| 4.853426
| 4.354303
| 4.177856
| 4.50339
| 4.341859
| 4.199492
| 4.34032
| 4.972074
| 4.334579
| 4.409003
| 4.673621
| 4.466395
| 4.43446
| 4.516399
| 4.359759
| 4.439684
| 4.505844
| 4.651291
| 4.52156
|
hep-th/0409134
|
Marco A. RegoMonteiro
|
V. B. Bezerra and M. A. Rego-Monteiro
|
Some boundary effects in quantum field theory
|
12 pages, Latex
|
Phys.Rev. D70 (2004) 065018
|
10.1103/PhysRevD.70.065018
| null |
hep-th
| null |
We have constructed a quantum field theory in a finite box, with periodic
boundary conditions, using the hypothesis that particles living in a finite box
are created and/or annihilated by the creation and/or annihilation operators,
respectively, of a quantum harmonic oscillator on a circle. An expression for
the effective coupling constant is obtained showing explicitly its dependence
on the dimension of the box.
|
[
{
"created": "Tue, 14 Sep 2004 18:09:23 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Bezerra",
"V. B.",
""
],
[
"Rego-Monteiro",
"M. A.",
""
]
] |
We have constructed a quantum field theory in a finite box, with periodic boundary conditions, using the hypothesis that particles living in a finite box are created and/or annihilated by the creation and/or annihilation operators, respectively, of a quantum harmonic oscillator on a circle. An expression for the effective coupling constant is obtained showing explicitly its dependence on the dimension of the box.
| 9.639717
| 9.138955
| 9.485022
| 8.966004
| 9.510118
| 9.690151
| 9.305755
| 8.84335
| 9.067124
| 9.604535
| 8.815527
| 8.78762
| 8.463662
| 9.080646
| 8.844092
| 8.988118
| 8.976229
| 8.794101
| 9.180808
| 8.994807
| 8.764832
|
1002.2292
|
Yong-Wan Kim
|
Yun Soo Myung, Yong-Wan Kim
|
Entropic force and entanglement system
|
17 pages, 2 figures, version to appear in PRD
|
Phys.Rev.D81:105012,2010
|
10.1103/PhysRevD.81.105012
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We introduce the isothermal cavity, static holographic screen, and
accelerating surface as holographic screen to study the entropic force in the
presence of the Schwarzschild black hole. These may merge to provide a
consistent holographic screen to define the entropic force on the stretched
horizon near the event horizon. Considering the similarity between the
stretched horizon of black hole and the entanglement system, we may define the
entropic force in the entanglement system without referring the source mass.
|
[
{
"created": "Thu, 11 Feb 2010 08:00:17 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Apr 2010 04:22:51 GMT",
"version": "v2"
}
] |
2010-05-19
|
[
[
"Myung",
"Yun Soo",
""
],
[
"Kim",
"Yong-Wan",
""
]
] |
We introduce the isothermal cavity, static holographic screen, and accelerating surface as holographic screen to study the entropic force in the presence of the Schwarzschild black hole. These may merge to provide a consistent holographic screen to define the entropic force on the stretched horizon near the event horizon. Considering the similarity between the stretched horizon of black hole and the entanglement system, we may define the entropic force in the entanglement system without referring the source mass.
| 15.820013
| 14.870216
| 16.704229
| 13.900617
| 14.147303
| 14.262222
| 14.826734
| 15.179125
| 14.313043
| 18.002945
| 14.178534
| 15.603302
| 15.777043
| 14.88305
| 14.963767
| 14.890283
| 15.198205
| 15.839525
| 15.66641
| 16.147135
| 15.365373
|
1507.02174
|
Ian Jack
|
J.A. Gracey, I. Jack and C. Poole
|
The a-function in six dimensions
|
27 pages, seven figures, uses axodraw. Minor improvements in wording
| null |
10.1007/JHEP01(2016)174
|
LTH1045
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The a-function is a proposed quantity defined in even dimensions which has a
monotonic behaviour along RG flows, related to the beta-functions via a
gradient flow equation. We study the a-function for a general scalar theory in
six dimensions, using the beta-functions up to three-loop order for both the
MSbar and MOM schemes (the latter presented here for the first time at three
loops).
|
[
{
"created": "Wed, 8 Jul 2015 14:32:37 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Oct 2015 15:20:28 GMT",
"version": "v2"
},
{
"created": "Mon, 14 Dec 2015 17:57:38 GMT",
"version": "v3"
},
{
"created": "Mon, 11 Jan 2016 14:47:56 GMT",
"version": "v4"
}
] |
2016-03-23
|
[
[
"Gracey",
"J. A.",
""
],
[
"Jack",
"I.",
""
],
[
"Poole",
"C.",
""
]
] |
The a-function is a proposed quantity defined in even dimensions which has a monotonic behaviour along RG flows, related to the beta-functions via a gradient flow equation. We study the a-function for a general scalar theory in six dimensions, using the beta-functions up to three-loop order for both the MSbar and MOM schemes (the latter presented here for the first time at three loops).
| 13.596631
| 9.450247
| 12.015779
| 9.122767
| 10.077962
| 8.705513
| 9.523605
| 8.121902
| 8.251545
| 12.229157
| 9.120625
| 11.18879
| 11.953354
| 11.431536
| 10.730723
| 10.726089
| 11.475843
| 10.712857
| 10.588758
| 12.33337
| 11.804132
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.