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| perplexity_Llama-3.1-8B
float64 2.29
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496
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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
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| perplexity_s8-L-3.1-8B-base
float64 2.89
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| perplexity_s9-L-3.1-8B-base
float64 3.21
1.68k
| perplexity_s10-L-3.1-8B-base
float64 2.98
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| perplexity_s1-L-3.1-8B-qkv_v2
float64 2.92
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| perplexity_s2-L-3.1-8B-qkv
float64 3.05
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| perplexity_s3-L-3.1-8B-qkv
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| perplexity_s4-L-3.1-8B-qkv
float64 2.86
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| perplexity_s5-L-3.1-8B-qkv
float64 2.93
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| perplexity_s6-L-3.1-8B-qkv
float64 2.96
669
| perplexity_s7-L-3.1-8B-qkv2
float64 2.95
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| perplexity_s8-L-3.1-8B-qkv
float64 2.92
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|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1503.01024
|
Mark Trodden
|
Mark Trodden
|
Constructing Galileons
|
15 pages, To appear in the proceedings of the DISCRETE 2014
conference, King's College London, December 2014
| null |
10.1088/1742-6596/631/1/012013
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this plenary talk delivered at the DISCRETE 2014 conference in London, I
briefly summarize the ideas behind and attractive properties of the Galileon
field theories, and describe a broad class of scalar field theories that share
these properties. After describing how Galileons arise, and commenting on their
fascinating properties, in the latter half of the talk I focus on novel ways of
constructing Galileon-like theories, using both the probe brane construction,
and the coset construction.
|
[
{
"created": "Tue, 3 Mar 2015 17:39:36 GMT",
"version": "v1"
}
] |
2015-09-02
|
[
[
"Trodden",
"Mark",
""
]
] |
In this plenary talk delivered at the DISCRETE 2014 conference in London, I briefly summarize the ideas behind and attractive properties of the Galileon field theories, and describe a broad class of scalar field theories that share these properties. After describing how Galileons arise, and commenting on their fascinating properties, in the latter half of the talk I focus on novel ways of constructing Galileon-like theories, using both the probe brane construction, and the coset construction.
| 11.990808
| 11.741598
| 12.266938
| 11.695846
| 10.39231
| 11.284079
| 9.813001
| 10.956056
| 10.801268
| 11.166382
| 10.438187
| 10.614425
| 12.033648
| 11.385444
| 11.215487
| 10.779976
| 11.193973
| 10.962828
| 10.934991
| 12.112372
| 10.7217
|
2210.14923
|
Ying-Hsuan Lin
|
Jan Albert, Justin Kaidi, Ying-Hsuan Lin
|
Topological modularity of Supermoonshine
|
28 pages + appendices; v2: publication version
| null |
10.1093/ptep/ptad034
| null |
hep-th math-ph math.AT math.MP math.NT math.RT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The theory of topological modular forms (TMF) predicts that elliptic genera
of physical theories satisfy a certain divisibility property, determined by the
theory's gravitational anomaly. In this note we verify this prediction in
Duncan's Supermoonshine module, as well as in tensor products and orbifolds
thereof. Along the way we develop machinery for computing the elliptic genera
of general alternating orbifolds and discuss the relation of this construction
to the elusive "periodicity class" of TMF.
|
[
{
"created": "Wed, 26 Oct 2022 18:00:00 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Mar 2023 16:33:23 GMT",
"version": "v2"
}
] |
2023-03-28
|
[
[
"Albert",
"Jan",
""
],
[
"Kaidi",
"Justin",
""
],
[
"Lin",
"Ying-Hsuan",
""
]
] |
The theory of topological modular forms (TMF) predicts that elliptic genera of physical theories satisfy a certain divisibility property, determined by the theory's gravitational anomaly. In this note we verify this prediction in Duncan's Supermoonshine module, as well as in tensor products and orbifolds thereof. Along the way we develop machinery for computing the elliptic genera of general alternating orbifolds and discuss the relation of this construction to the elusive "periodicity class" of TMF.
| 14.221831
| 13.402638
| 17.12904
| 12.477228
| 13.960441
| 12.723408
| 12.136772
| 10.999902
| 12.120896
| 18.307577
| 11.641589
| 12.064713
| 14.493875
| 13.30679
| 13.695168
| 13.479163
| 12.885277
| 12.841425
| 12.461574
| 16.46447
| 12.593319
|
2202.02946
|
Yuan Zhong
|
Jun Feng and Yuan Zhong
|
Scalar perturbation of gravitating double-kink solutions
|
6 pages, 4 figures, final version published by EPL
|
EPL 137 (2022) 49001
|
10.1209/0295-5075/ac56ae
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
In this letter, a two-dimensional (2D) gravity-scalar model is studied. This
model supports interesting double-kink solutions, and the corresponding metric
solutions can be derived analytically. Depending on a tunable parameter $c$,
the metric can be symmetric or asymmetric. The Schr\"odinger-like equation for
normal modes of the physical linear perturbation is derived. As $c$ varies, the
effective potential can have one or two singular barriers. If $c$ is larger
than a critical value, the zero mode will be normalizable, despite of the
appearance of a strong repulsive singularity. The double-kink solution is
always stable against linear perturbations.
|
[
{
"created": "Mon, 7 Feb 2022 05:10:28 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Apr 2022 14:32:12 GMT",
"version": "v2"
}
] |
2022-05-02
|
[
[
"Feng",
"Jun",
""
],
[
"Zhong",
"Yuan",
""
]
] |
In this letter, a two-dimensional (2D) gravity-scalar model is studied. This model supports interesting double-kink solutions, and the corresponding metric solutions can be derived analytically. Depending on a tunable parameter $c$, the metric can be symmetric or asymmetric. The Schr\"odinger-like equation for normal modes of the physical linear perturbation is derived. As $c$ varies, the effective potential can have one or two singular barriers. If $c$ is larger than a critical value, the zero mode will be normalizable, despite of the appearance of a strong repulsive singularity. The double-kink solution is always stable against linear perturbations.
| 9.594213
| 8.736679
| 8.519981
| 8.054211
| 8.618948
| 8.451278
| 8.36567
| 8.681672
| 8.156691
| 9.546142
| 8.47397
| 8.706471
| 8.620022
| 8.533805
| 8.668156
| 8.532413
| 8.585907
| 8.279741
| 8.592774
| 8.319681
| 8.396943
|
hep-th/9805122
| null |
Laurent Baulieu and Eliezer Rabinovici
|
Self-Duality and New TQFTs for Forms
|
teX-file
|
JHEP 9806:006,1998
|
10.1088/1126-6708/1998/06/006
|
CERN-TH: 98-96,RI: 98-10,LPTHE: 98-17
|
hep-th
| null |
We discuss theories containing higher-order forms in various dimensions. We
explain how Chern--Simons-type theories of forms can be defined from TQFTs in
one less dimension. We also exhibit new TQFTs with interacting Yang--Mills
fields and higher--order forms. They are obtained by the dimensional reduction
of TQFTs whose gauge functions are free self-duality equations. Interactions
are due to the gauging of global internal symmetries after dimensional
reduction. We list possible symmetries and give a brief discussion on the
possible relation of such systems to interacting field theories.
|
[
{
"created": "Tue, 19 May 1998 17:44:07 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Baulieu",
"Laurent",
""
],
[
"Rabinovici",
"Eliezer",
""
]
] |
We discuss theories containing higher-order forms in various dimensions. We explain how Chern--Simons-type theories of forms can be defined from TQFTs in one less dimension. We also exhibit new TQFTs with interacting Yang--Mills fields and higher--order forms. They are obtained by the dimensional reduction of TQFTs whose gauge functions are free self-duality equations. Interactions are due to the gauging of global internal symmetries after dimensional reduction. We list possible symmetries and give a brief discussion on the possible relation of such systems to interacting field theories.
| 13.912968
| 12.752897
| 15.273441
| 12.548072
| 12.510767
| 14.133763
| 13.107521
| 13.661932
| 12.730951
| 16.112747
| 12.540486
| 12.770742
| 14.055855
| 12.584738
| 12.04152
| 12.513031
| 12.820498
| 12.713665
| 12.666851
| 13.389605
| 12.349532
|
hep-th/0501069
|
D. Toublan
|
D. Toublan
|
A large Nc perspective on the QCD phase diagram
|
5 pages
|
Phys.Lett. B621 (2005) 145-150
|
10.1016/j.physletb.2005.06.064
| null |
hep-th hep-lat hep-ph nucl-th
| null |
The transition between the hadronic phase and the quark gluon plasma phase at
nonzero temperature and quark chemical potentials is studied within the
large-Nc expansion of QCD.
|
[
{
"created": "Mon, 10 Jan 2005 19:48:32 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Jul 2005 19:19:34 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Toublan",
"D.",
""
]
] |
The transition between the hadronic phase and the quark gluon plasma phase at nonzero temperature and quark chemical potentials is studied within the large-Nc expansion of QCD.
| 6.704191
| 6.427314
| 4.585093
| 4.835036
| 5.463572
| 5.713658
| 5.79705
| 6.467222
| 4.922566
| 4.694075
| 6.177718
| 5.9952
| 5.229291
| 5.161093
| 5.639332
| 6.128902
| 5.567397
| 5.857481
| 5.160834
| 5.317755
| 5.659421
|
0812.1944
|
Jiajun Xu
|
S.-H. Henry Tye, Jiajun Xu and Yang Zhang
|
Multi-field Inflation with a Random Potential
|
More clarifications and references added
|
JCAP 0904:018,2009
|
10.1088/1475-7516/2009/04/018
| null |
hep-th astro-ph hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Motivated by the possibility of inflation in the cosmic landscape, which may
be approximated by a complicated potential, we study the density perturbations
in multi-field inflation with a random potential. The random potential causes
the inflaton to undergo a Brownian motion with a drift in the D-dimensional
field space. To quantify such an effect, we employ a stochastic approach to
evaluate the two-point and three-point functions of primordial perturbations.
We find that in the weakly random scenario the resulting power spectrum
resembles that of the single field slow-roll case, with up to 2% more red tilt.
The strongly random scenario, leads to rich phenomenologies, such as primordial
fluctuations in the power spectrum on all angular scales. Such features may
already be hiding in the error bars of observed CMB TT (as well as TE and EE)
power spectrum and can be detected or falsified with more data coming in the
future. The tensor power spectrum itself is free of fluctuations and the tensor
to scalar ratio is enhanced. In addition a large negative running of the power
spectral index is possible. Non-Gaussianity is generically suppressed by the
growth of adiabatic perturbations on super-horizon scales, but can possibly be
enhanced by resonant effects or arise from the entropic perturbations during
the onset of (p)reheating. The formalism developed in this paper can be applied
to a wide class of multi-field inflation models including, e.g. the N-flation
scenario.
|
[
{
"created": "Wed, 10 Dec 2008 16:07:14 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Jan 2009 21:12:55 GMT",
"version": "v2"
},
{
"created": "Thu, 12 Mar 2009 13:50:17 GMT",
"version": "v3"
}
] |
2009-04-24
|
[
[
"Tye",
"S. -H. Henry",
""
],
[
"Xu",
"Jiajun",
""
],
[
"Zhang",
"Yang",
""
]
] |
Motivated by the possibility of inflation in the cosmic landscape, which may be approximated by a complicated potential, we study the density perturbations in multi-field inflation with a random potential. The random potential causes the inflaton to undergo a Brownian motion with a drift in the D-dimensional field space. To quantify such an effect, we employ a stochastic approach to evaluate the two-point and three-point functions of primordial perturbations. We find that in the weakly random scenario the resulting power spectrum resembles that of the single field slow-roll case, with up to 2% more red tilt. The strongly random scenario, leads to rich phenomenologies, such as primordial fluctuations in the power spectrum on all angular scales. Such features may already be hiding in the error bars of observed CMB TT (as well as TE and EE) power spectrum and can be detected or falsified with more data coming in the future. The tensor power spectrum itself is free of fluctuations and the tensor to scalar ratio is enhanced. In addition a large negative running of the power spectral index is possible. Non-Gaussianity is generically suppressed by the growth of adiabatic perturbations on super-horizon scales, but can possibly be enhanced by resonant effects or arise from the entropic perturbations during the onset of (p)reheating. The formalism developed in this paper can be applied to a wide class of multi-field inflation models including, e.g. the N-flation scenario.
| 8.942364
| 9.787408
| 9.350616
| 8.73647
| 9.31588
| 10.175014
| 9.82341
| 9.207108
| 8.695074
| 9.836804
| 9.284228
| 8.99223
| 8.901256
| 8.673736
| 8.990667
| 8.919375
| 8.825569
| 8.928579
| 8.896371
| 9.129201
| 8.862331
|
2006.00764
|
Michael Maziashvili
|
Michael Maziashvili
|
Mean lifetime of a false vacuum in terms of the Krylov-Fock non-escape
probability
|
14 pages
|
Phys. Rev. D 102, 076006 (2020)
|
10.1103/PhysRevD.102.076006
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Krylov-Fock expression of non-decay (or survival) probability, which
allows to evaluate the deviations from the exponential decay law (nowadays well
established experimentally), is more informative as it readily provides the
distribution function for the lifetime as a random quantity. Guided by the well
established formalism for describing nuclear alpha decay, we use this
distribution function to figure out the mean value of lifetime and its
fluctuation rate. This theoretical framework is of considerable interest
inasmuch as it allows an experimental verification. Next, we apply the
Krylov-Fock approach to the decay of a metastable state at a finite temperature
in the framework of thermo-field dynamics. In contrast to the existing
formalism, this approach shows the interference effect between the tunnelings
from different metastable states as well as between the tunneling and the
barrier hopping. This effect looks quite natural in the framework of consistent
quantum mechanical description as a manifestation of the "double-slit
experiment". In the end we discuss the field theory applications of the results
obtained.
|
[
{
"created": "Mon, 1 Jun 2020 07:33:55 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Oct 2020 07:02:43 GMT",
"version": "v2"
}
] |
2020-10-14
|
[
[
"Maziashvili",
"Michael",
""
]
] |
The Krylov-Fock expression of non-decay (or survival) probability, which allows to evaluate the deviations from the exponential decay law (nowadays well established experimentally), is more informative as it readily provides the distribution function for the lifetime as a random quantity. Guided by the well established formalism for describing nuclear alpha decay, we use this distribution function to figure out the mean value of lifetime and its fluctuation rate. This theoretical framework is of considerable interest inasmuch as it allows an experimental verification. Next, we apply the Krylov-Fock approach to the decay of a metastable state at a finite temperature in the framework of thermo-field dynamics. In contrast to the existing formalism, this approach shows the interference effect between the tunnelings from different metastable states as well as between the tunneling and the barrier hopping. This effect looks quite natural in the framework of consistent quantum mechanical description as a manifestation of the "double-slit experiment". In the end we discuss the field theory applications of the results obtained.
| 13.514595
| 13.583402
| 13.550393
| 13.108109
| 13.625474
| 13.803012
| 14.484838
| 13.924643
| 12.812159
| 14.121978
| 12.712486
| 12.671883
| 13.11648
| 12.722674
| 12.92912
| 12.654966
| 12.926041
| 12.999492
| 12.789016
| 12.852696
| 13.226296
|
1311.2945
|
Jaewon Song
|
Prarit Agarwal and Jaewon Song
|
New N=1 Dualities from M5-branes and Outer-automorphism Twists
|
56 pages, 29 colored figures; v2: minor corrections, references added
| null |
10.1007/JHEP03(2014)133
|
UCSD-PTH-13-13
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We generalize recent construction of four-dimensional $\mathcal{N}=1$ SCFT
from wrapping six-dimensional $\mathcal{N}=(2,0)$ theory on a Riemann surface
to the case of $D$-type with outer-automorphism twists. This construction
allows us to build various dual theories for a class of $\mathcal{N}=1$ quiver
theories of $SO-USp$ type. In particular, we find there are five dual frames to
$SO(2N)/USp(2N-2)/G_2$ gauge theories with $(4N-4)/4N/8$ fundamental flavors,
where three of them are non-Lagrangian. We check the dualities by computing the
anomaly coefficients and the superconformal indices. In the process we verify
that the index of $D_4$ theory on a certain three punctured sphere with $Z_2$
and $Z_3$ twist lines exhibits the expected symmetry enhancement from $G_2
\times USp(6)$ to $E_7$.
|
[
{
"created": "Tue, 12 Nov 2013 21:00:22 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Feb 2014 00:17:17 GMT",
"version": "v2"
}
] |
2015-06-17
|
[
[
"Agarwal",
"Prarit",
""
],
[
"Song",
"Jaewon",
""
]
] |
We generalize recent construction of four-dimensional $\mathcal{N}=1$ SCFT from wrapping six-dimensional $\mathcal{N}=(2,0)$ theory on a Riemann surface to the case of $D$-type with outer-automorphism twists. This construction allows us to build various dual theories for a class of $\mathcal{N}=1$ quiver theories of $SO-USp$ type. In particular, we find there are five dual frames to $SO(2N)/USp(2N-2)/G_2$ gauge theories with $(4N-4)/4N/8$ fundamental flavors, where three of them are non-Lagrangian. We check the dualities by computing the anomaly coefficients and the superconformal indices. In the process we verify that the index of $D_4$ theory on a certain three punctured sphere with $Z_2$ and $Z_3$ twist lines exhibits the expected symmetry enhancement from $G_2 \times USp(6)$ to $E_7$.
| 6.174671
| 6.300959
| 7.486546
| 6.040133
| 6.340685
| 6.522888
| 6.091617
| 5.813803
| 6.09563
| 7.844529
| 5.973489
| 5.811527
| 6.405838
| 5.886777
| 6.08938
| 6.002448
| 5.847712
| 5.793267
| 5.89737
| 5.998865
| 5.599469
|
1909.06995
|
Minxin Huang
|
Min-xin Huang
|
Note on S-channel factorization in multitrace
Berenstein-Maldacena-Nastase correlators
|
22 pages, 9 figures. v2: major revisions in section 3. v3: minor
clarifications, journal version. v4: a further correction about parameter
counting in section 3
|
Phys. Rev. D 101, 026013 (2020)
|
10.1103/PhysRevD.101.026013
|
USTC-ICTS-19-24
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In a previous paper we proposed a factorization principle for the correlation
functions of Berenstein-Maldacena-Nastase (BMN) operators in free
$\mathcal{N}=4$ super-Yang-Mills theory. These correlators are conjectured to
described physical string amplitudes in an infinitely curved Ramond-Ramond
pp-wave background. There was a puzzle that the factorization seems to break
down for $S$-channel in the $2\rightarrow 2$ scattering process. Here we
resolve this puzzle by including some diagrams missed in the previous paper. We
also observe some interesting relations which further support the
interpretation of higher genus correlators as physical string loop amplitudes.
|
[
{
"created": "Mon, 16 Sep 2019 05:35:47 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Nov 2019 07:51:12 GMT",
"version": "v2"
},
{
"created": "Sun, 12 Jan 2020 03:16:33 GMT",
"version": "v3"
},
{
"created": "Mon, 13 Apr 2020 01:23:22 GMT",
"version": "v4"
}
] |
2020-04-14
|
[
[
"Huang",
"Min-xin",
""
]
] |
In a previous paper we proposed a factorization principle for the correlation functions of Berenstein-Maldacena-Nastase (BMN) operators in free $\mathcal{N}=4$ super-Yang-Mills theory. These correlators are conjectured to described physical string amplitudes in an infinitely curved Ramond-Ramond pp-wave background. There was a puzzle that the factorization seems to break down for $S$-channel in the $2\rightarrow 2$ scattering process. Here we resolve this puzzle by including some diagrams missed in the previous paper. We also observe some interesting relations which further support the interpretation of higher genus correlators as physical string loop amplitudes.
| 8.516689
| 8.09582
| 9.657074
| 7.124886
| 7.460405
| 7.343032
| 6.954275
| 7.330031
| 6.808721
| 10.045903
| 7.184813
| 7.244256
| 7.914743
| 7.200881
| 7.196836
| 7.337153
| 7.53621
| 7.369026
| 7.249324
| 7.829091
| 7.218692
|
0908.0434
|
Alexander Schenkel
|
Alexander Schenkel
|
Symmetry Reduction and Exact Solutions in Twisted Noncommutative Gravity
|
LaTeX 11 pages, appolb.cls style. Seminar talk at the 49. Cracow
School of Theoretical Physics "Non-perturbative Gravity and Quantum
Chromodynamics". To appear in Acta Physica Polonica B
|
Acta Physica Polonica B Proc. Suppl. 2: 657-667, 2009
| null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review the noncommutative gravity of Wess et al. and discuss its physical
applications. We define noncommutative symmetry reduction and construct
deformed symmetric solutions of the noncommutative Einstein equations. We apply
our framework to find explicit deformed cosmological and black hole solutions
and discuss their phenomenology.
This article is based on a joint work with Thorsten Ohl.
|
[
{
"created": "Tue, 4 Aug 2009 12:45:21 GMT",
"version": "v1"
}
] |
2010-01-05
|
[
[
"Schenkel",
"Alexander",
""
]
] |
We review the noncommutative gravity of Wess et al. and discuss its physical applications. We define noncommutative symmetry reduction and construct deformed symmetric solutions of the noncommutative Einstein equations. We apply our framework to find explicit deformed cosmological and black hole solutions and discuss their phenomenology. This article is based on a joint work with Thorsten Ohl.
| 9.66453
| 10.058195
| 9.264939
| 8.448806
| 9.732141
| 9.910937
| 10.195825
| 9.364619
| 10.411922
| 9.45975
| 8.679601
| 8.859525
| 9.710038
| 8.676764
| 9.056352
| 9.351931
| 8.763584
| 8.512258
| 9.265719
| 9.442069
| 8.796444
|
1602.04761
|
Shankhadeep Chakrabortty
|
Shankhadeep Chakrabortty, Tanay K. Dey
|
Back reaction effects on the dynamics of heavy probes in heavy quark
cloud
|
29 pages, 21 figures
| null | null | null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We holographically study the effect of back reaction on the hydrodynamical
properties of $\mathcal{N} = 4$ strongly coupled super Yang-Mills (SYM) thermal
plasma. The back reaction we consider arises from the presence of static heavy
quarks uniformly distributed over $\mathcal{N} = 4$ SYM plasma. In order to
study the hydrodynamical properties, we use heavy quark as well as heavy
quark-antiquark bound state as probes and compute the jet quenching parameter,
screening length and binding energy. We also consider the rotational dynamics
of heavy probe quark in the back-reacted plasma and analyse associated energy
loss. We observe that the presence of back reaction enhances the energy-loss in
the thermal plasma. Finally, we show that there is no effect of angular drag on
the rotational motion of quark-antiquark bound state probing the back reacted
thermal plasma.
|
[
{
"created": "Mon, 15 Feb 2016 18:47:23 GMT",
"version": "v1"
}
] |
2016-02-16
|
[
[
"Chakrabortty",
"Shankhadeep",
""
],
[
"Dey",
"Tanay K.",
""
]
] |
We holographically study the effect of back reaction on the hydrodynamical properties of $\mathcal{N} = 4$ strongly coupled super Yang-Mills (SYM) thermal plasma. The back reaction we consider arises from the presence of static heavy quarks uniformly distributed over $\mathcal{N} = 4$ SYM plasma. In order to study the hydrodynamical properties, we use heavy quark as well as heavy quark-antiquark bound state as probes and compute the jet quenching parameter, screening length and binding energy. We also consider the rotational dynamics of heavy probe quark in the back-reacted plasma and analyse associated energy loss. We observe that the presence of back reaction enhances the energy-loss in the thermal plasma. Finally, we show that there is no effect of angular drag on the rotational motion of quark-antiquark bound state probing the back reacted thermal plasma.
| 6.629535
| 6.159645
| 6.879978
| 6.215922
| 6.464217
| 6.075331
| 6.041644
| 6.077419
| 5.920398
| 6.829158
| 5.831639
| 6.209134
| 6.345572
| 6.279578
| 6.396633
| 6.373743
| 6.478532
| 6.11627
| 6.297911
| 6.671176
| 6.189898
|
hep-th/0603250
|
Julio Cesar Mejia-Ambriz
|
Tzihue Cisneros-Perez, Alfredo Herrera-Aguilar, Julio Cesar
Mejia-Ambriz and Violeta Rojas-Macias
|
Gowdy Cosmological Models from Stringy Black Holes
|
7 pages in latex, no figures, Talk presented at the V Mexican
Workshop on Gravitation and Mathematical Physics, Morelia, Michoacan, Mexico,
November 24-28, 2003
| null | null | null |
hep-th
| null |
In the framework of 4D Einstein-Maxwell Dilaton-Axion theory we show how to
obtain a family of both unpolarized and polarized S^1XS^2 Gowdy cosmological
models endowed with nontrivial axion, dilaton and electromagnetic fields from a
solitonic rotating black hole-type solution by interchanging the r and t
coordinates in the region located between the horizons of the black hole
configuration. We also get a family of Kantowski-Sachs cosmologies with
topology R^1XS^2 from the polarized Gowdy cosmological models by
decompactifying one of the compact dimensions.
|
[
{
"created": "Fri, 31 Mar 2006 03:35:43 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Sep 2006 18:56:35 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Cisneros-Perez",
"Tzihue",
""
],
[
"Herrera-Aguilar",
"Alfredo",
""
],
[
"Mejia-Ambriz",
"Julio Cesar",
""
],
[
"Rojas-Macias",
"Violeta",
""
]
] |
In the framework of 4D Einstein-Maxwell Dilaton-Axion theory we show how to obtain a family of both unpolarized and polarized S^1XS^2 Gowdy cosmological models endowed with nontrivial axion, dilaton and electromagnetic fields from a solitonic rotating black hole-type solution by interchanging the r and t coordinates in the region located between the horizons of the black hole configuration. We also get a family of Kantowski-Sachs cosmologies with topology R^1XS^2 from the polarized Gowdy cosmological models by decompactifying one of the compact dimensions.
| 9.635726
| 9.683551
| 9.632026
| 8.868368
| 8.756383
| 8.766666
| 8.793305
| 8.517992
| 8.756113
| 8.944696
| 8.973175
| 8.670289
| 8.819468
| 8.609544
| 8.333389
| 8.559247
| 8.727736
| 8.564806
| 8.363064
| 8.758558
| 8.312346
|
hep-th/9912010
|
Masafumi Fukuma
|
Masafumi Fukuma, Takeshi Oota, Hirokazu Tanaka
|
Weyl Groups in AdS(3)/CFT(2)
|
20 pages, 3 figues
|
Prog.Theor.Phys.103:447-462,2000
|
10.1143/PTP.103.447
|
YITP-99-70
|
hep-th
| null |
The system of D1 and D5 branes with a Kaluza-Klein momentum is
re-investigated using the five-dimensional U-duality group E_{6(+6)}(Z). We
show that the residual U-duality symmetry that keeps this D1-D5-KK system
intact is generically given by a lift of the Weyl group of F_{4(+4)}, embedded
as a finite subgroup in E_{6(+6)}(Z). We also show that the residual U-duality
group is enhanced to F_{4(+4)}(Z) when all the three charges coincide. We then
apply the analysis to the AdS(3)/CFT(2) correspondence, and discuss that among
28 marginal operators of CFT(2) which couple to massless scalars of AdS(3)
gravity at boundary, 16 would behave as exactly marginal operators for generic
D1-D5-KK systems. This is shown by analyzing possible three-point couplings
among 42 Kaluza-Klein scalars with the use of their transformation properties
under the residual U-duality group.
|
[
{
"created": "Wed, 1 Dec 1999 22:22:35 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Fukuma",
"Masafumi",
""
],
[
"Oota",
"Takeshi",
""
],
[
"Tanaka",
"Hirokazu",
""
]
] |
The system of D1 and D5 branes with a Kaluza-Klein momentum is re-investigated using the five-dimensional U-duality group E_{6(+6)}(Z). We show that the residual U-duality symmetry that keeps this D1-D5-KK system intact is generically given by a lift of the Weyl group of F_{4(+4)}, embedded as a finite subgroup in E_{6(+6)}(Z). We also show that the residual U-duality group is enhanced to F_{4(+4)}(Z) when all the three charges coincide. We then apply the analysis to the AdS(3)/CFT(2) correspondence, and discuss that among 28 marginal operators of CFT(2) which couple to massless scalars of AdS(3) gravity at boundary, 16 would behave as exactly marginal operators for generic D1-D5-KK systems. This is shown by analyzing possible three-point couplings among 42 Kaluza-Klein scalars with the use of their transformation properties under the residual U-duality group.
| 7.292504
| 7.27858
| 8.719508
| 7.023705
| 7.95477
| 7.65758
| 6.994492
| 7.282315
| 7.171676
| 8.430559
| 7.141566
| 6.811839
| 7.301202
| 6.789679
| 7.198138
| 6.930078
| 6.935302
| 6.937468
| 6.927742
| 6.98013
| 6.672098
|
1206.0664
|
Loriano Bonora
|
Loriano Bonora, Andrey Bytsenko and Emilio Elizalde
|
String Partition Functions, Hilbert Schemes, and Affine Lie Algebra
Representations on Homology Groups
|
56 pages, review paper, in honour of J.S.Dowker. arXiv admin note:
text overlap with arXiv:0905.1285, arXiv:math/0006201, arXiv:math/0412089,
arXiv:math/0403547 by other authors
| null |
10.1088/1751-8113/45/37/374002
|
SISSA/12/2012/EP
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This review paper contains a concise introduction to highest weight
representations of infinite dimensional Lie algebras, vertex operator algebras
and Hilbert schemes of points, together with their physical applications to
elliptic genera of superconformal quantum mechanics and superstring models. The
common link of all these concepts and of the many examples considered in the
paper is to be found in a very important feature of the theory of infinite
dimensional Lie algebras: the modular properties of the characters (generating
functions) of certain representations. The characters of the highest weight
modules represent the holomorphic parts of the partition functions on the torus
for the corresponding conformal field theories. We discuss the role of the
unimodular (and modular) groups and the (Selberg-type) Ruelle spectral
functions of hyperbolic geometry in the calculation of elliptic genera and
associated $q$-series. For mathematicians, elliptic genera are commonly
associated to new mathematical invariants for spaces, while for physicists
elliptic genera are one-loop string partition function (therefore they are
applicable, for instance, to topological Casimir effect calculations). We show
that elliptic genera can be conveniently transformed into product expressions
which can then inherit the homology properties of appropriate polygraded Lie
algebras.
|
[
{
"created": "Mon, 4 Jun 2012 16:23:25 GMT",
"version": "v1"
}
] |
2015-06-05
|
[
[
"Bonora",
"Loriano",
""
],
[
"Bytsenko",
"Andrey",
""
],
[
"Elizalde",
"Emilio",
""
]
] |
This review paper contains a concise introduction to highest weight representations of infinite dimensional Lie algebras, vertex operator algebras and Hilbert schemes of points, together with their physical applications to elliptic genera of superconformal quantum mechanics and superstring models. The common link of all these concepts and of the many examples considered in the paper is to be found in a very important feature of the theory of infinite dimensional Lie algebras: the modular properties of the characters (generating functions) of certain representations. The characters of the highest weight modules represent the holomorphic parts of the partition functions on the torus for the corresponding conformal field theories. We discuss the role of the unimodular (and modular) groups and the (Selberg-type) Ruelle spectral functions of hyperbolic geometry in the calculation of elliptic genera and associated $q$-series. For mathematicians, elliptic genera are commonly associated to new mathematical invariants for spaces, while for physicists elliptic genera are one-loop string partition function (therefore they are applicable, for instance, to topological Casimir effect calculations). We show that elliptic genera can be conveniently transformed into product expressions which can then inherit the homology properties of appropriate polygraded Lie algebras.
| 6.924205
| 10.549937
| 11.59479
| 9.831984
| 11.548022
| 10.944354
| 10.973934
| 11.1176
| 10.955896
| 12.306068
| 10.115945
| 9.121171
| 9.478965
| 8.867988
| 9.598574
| 9.331356
| 9.233386
| 8.791409
| 9.130251
| 9.862295
| 8.678802
|
1511.00682
|
Chris Halcrow
|
C. J. Halcrow
|
Vibrational quantisation of the B=7 Skyrmion
|
24 pages, 6 figures
|
Nucl. Phys. B 904, 106-123, 2016
|
10.1016/j.nuclphysb.2016.01.011
|
DAMTP-2015-67
|
hep-th nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the inclusion of the most important vibrational modes in the
quantisation of the dodecahedral $B=7$ Skyrmion. In contrast to a rigid body
quantisation, this formalism allows a spin $\frac{3}{2}$ state to lie below the
spin $\frac{7}{2}$ state, in agreement with experimental data. There is also a
low lying spin $\frac{1}{2}$ state and two spin $\frac{5}{2} $ states. We find
that the excited spin $\frac{7}{2}$ state has a smaller root mean square charge
radius than the other states. This prediction is an important signature of the
Skyrme model, in conflict with more conventional nuclear models.
|
[
{
"created": "Mon, 2 Nov 2015 21:00:00 GMT",
"version": "v1"
}
] |
2016-02-03
|
[
[
"Halcrow",
"C. J.",
""
]
] |
We consider the inclusion of the most important vibrational modes in the quantisation of the dodecahedral $B=7$ Skyrmion. In contrast to a rigid body quantisation, this formalism allows a spin $\frac{3}{2}$ state to lie below the spin $\frac{7}{2}$ state, in agreement with experimental data. There is also a low lying spin $\frac{1}{2}$ state and two spin $\frac{5}{2} $ states. We find that the excited spin $\frac{7}{2}$ state has a smaller root mean square charge radius than the other states. This prediction is an important signature of the Skyrme model, in conflict with more conventional nuclear models.
| 6.486612
| 6.458732
| 6.915391
| 6.271984
| 6.663256
| 6.506599
| 6.71377
| 6.593687
| 6.156014
| 6.673451
| 6.270104
| 6.505103
| 7.068089
| 6.402234
| 6.394942
| 6.473281
| 6.359566
| 6.508872
| 6.31112
| 6.653801
| 6.374756
|
hep-th/0207283
|
Panagiota Kanti
|
P. Kanti (CERN), I. Olasagasti and K. Tamvakis (Univ. of Ioannina)
|
Schwarzschild Black Branes and Strings in higher-dimensional Brane
Worlds
|
22 pages, Latex file
|
Phys.Rev. D66 (2002) 104026
|
10.1103/PhysRevD.66.104026
|
CERN-TH/2002-162
|
hep-th gr-qc hep-ph
| null |
We consider branes embedded in spacetimes of codimension one and two, with a
warped metric tensor for the subspace parallel to the brane. We study a variety
of brane-world solutions arising by introducing a Schwarzschild-like black hole
metric on the brane and we investigate the properties of the corresponding
higher-dimensional spacetime. We demonstrate that normalizable bulk modes lead
to a vanishing flow of energy through the naked singularities. From this point
of view, these singularities are harmless.
|
[
{
"created": "Wed, 31 Jul 2002 16:00:35 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Kanti",
"P.",
"",
"CERN"
],
[
"Olasagasti",
"I.",
"",
"Univ. of Ioannina"
],
[
"Tamvakis",
"K.",
"",
"Univ. of Ioannina"
]
] |
We consider branes embedded in spacetimes of codimension one and two, with a warped metric tensor for the subspace parallel to the brane. We study a variety of brane-world solutions arising by introducing a Schwarzschild-like black hole metric on the brane and we investigate the properties of the corresponding higher-dimensional spacetime. We demonstrate that normalizable bulk modes lead to a vanishing flow of energy through the naked singularities. From this point of view, these singularities are harmless.
| 11.196609
| 12.09903
| 10.362823
| 10.783968
| 10.726145
| 10.918903
| 10.66447
| 10.828107
| 10.398328
| 11.073215
| 9.669476
| 10.833596
| 10.31652
| 10.137876
| 10.409203
| 10.558339
| 10.18893
| 10.467824
| 10.106378
| 10.714035
| 10.193181
|
hep-th/0106080
|
Mahmut Hortacsu
|
M. Hortacsu
|
Explicit Examples on Conformal Invariance
|
9 Pages, Tex
|
Int.J.Theor.Phys. 42 (2003) 49
| null | null |
hep-th
| null |
We study examples where conformal invariance implies rational critical
indices, triviality of the underlying quantum field theory and emergence of
hypergeometric functions as solutions of the field equations.
|
[
{
"created": "Mon, 11 Jun 2001 11:21:13 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Hortacsu",
"M.",
""
]
] |
We study examples where conformal invariance implies rational critical indices, triviality of the underlying quantum field theory and emergence of hypergeometric functions as solutions of the field equations.
| 23.949854
| 23.526693
| 23.924561
| 19.576595
| 23.714182
| 30.840036
| 26.39024
| 22.853079
| 21.750828
| 22.810467
| 22.902655
| 20.765333
| 21.773149
| 20.393105
| 19.724323
| 22.086992
| 21.361927
| 21.557949
| 21.009817
| 20.492855
| 21.429813
|
hep-th/9708058
| null |
Dieter Mayer, Alexander Ushveridze
|
Bethe Ansatz in Quantum Mechanics. 1. The Inverse Method of Separation
of Variables
|
17 pages, LaTeX
| null | null | null |
hep-th
| null |
In this paper we formulate a general method for building completely
integrable quantum systems. The method is based on the use of the so-called
multi-parameter spectral equations, i.e. equations with several spectral
parameters. We show that any such equation, after eliminating some spectral
parameters by means of the so-called inverse procedure of separation of
variables can be reduced to a certain completely integrable model. Starting
with exactly or quasi-exactly solvable multi-parameter spectral equations we,
respectively, obtain exactly or quasi-exactly solvable integrable models.
|
[
{
"created": "Mon, 11 Aug 1997 18:46:43 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Mayer",
"Dieter",
""
],
[
"Ushveridze",
"Alexander",
""
]
] |
In this paper we formulate a general method for building completely integrable quantum systems. The method is based on the use of the so-called multi-parameter spectral equations, i.e. equations with several spectral parameters. We show that any such equation, after eliminating some spectral parameters by means of the so-called inverse procedure of separation of variables can be reduced to a certain completely integrable model. Starting with exactly or quasi-exactly solvable multi-parameter spectral equations we, respectively, obtain exactly or quasi-exactly solvable integrable models.
| 7.388848
| 7.611708
| 7.629632
| 7.425617
| 6.878436
| 8.448469
| 7.30679
| 7.184134
| 7.51039
| 8.485448
| 7.175022
| 7.2239
| 7.093402
| 7.275251
| 6.998585
| 7.127995
| 7.269116
| 7.087296
| 6.932383
| 7.388215
| 7.164384
|
0809.2912
|
Leopoldo A. Pando Zayas
|
Ibrahima Bah, Leopoldo A. Pando Zayas and Cesar A. Terrero-Escalante
|
Holographic Geometric Entropy at Finite Temperature from Black Holes in
Global Anti de Sitter Spaces
|
v2: 33 pages, 9 figures. Added an appendix. Other minor modifications
to clarify the contents
| null |
10.1142/S0217751X12500480
|
MCTP-08-57
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using a holographic proposal for the geometric entropy we study its behavior
in the geometry of Schwarzschild black holes in global $AdS_p$ for $p=3,4,5$.
Holographically, the entropy is determined by a minimal surface. On the gravity
side, due to the presence of a horizon on the background, generically there are
two solutions to the surfaces determining the entanglement entropy. In the case
of $AdS_3$, the calculation reproduces precisely the geometric entropy of an
interval of length $l$ in a two dimensional conformal field theory with
periodic boundary conditions. We demonstrate that in the cases of $AdS_{4}$ and
$AdS_{5}$ the sign of the difference of the geometric entropies changes,
signaling a transition. Euclideanization implies that various embedding of the
holographic surface are possible. We study some of them and find that the
transitions are ubiquitous. In particular, our analysis renders a very
intricate phase space, showing, for some ranges of the temperature, up to three
branches. We observe a remarkable universality in the type of results we obtain
from $AdS_4$ and $AdS_5$.
|
[
{
"created": "Wed, 17 Sep 2008 11:44:51 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Jan 2009 21:22:51 GMT",
"version": "v2"
}
] |
2015-05-13
|
[
[
"Bah",
"Ibrahima",
""
],
[
"Zayas",
"Leopoldo A. Pando",
""
],
[
"Terrero-Escalante",
"Cesar A.",
""
]
] |
Using a holographic proposal for the geometric entropy we study its behavior in the geometry of Schwarzschild black holes in global $AdS_p$ for $p=3,4,5$. Holographically, the entropy is determined by a minimal surface. On the gravity side, due to the presence of a horizon on the background, generically there are two solutions to the surfaces determining the entanglement entropy. In the case of $AdS_3$, the calculation reproduces precisely the geometric entropy of an interval of length $l$ in a two dimensional conformal field theory with periodic boundary conditions. We demonstrate that in the cases of $AdS_{4}$ and $AdS_{5}$ the sign of the difference of the geometric entropies changes, signaling a transition. Euclideanization implies that various embedding of the holographic surface are possible. We study some of them and find that the transitions are ubiquitous. In particular, our analysis renders a very intricate phase space, showing, for some ranges of the temperature, up to three branches. We observe a remarkable universality in the type of results we obtain from $AdS_4$ and $AdS_5$.
| 9.174773
| 8.625364
| 9.69525
| 8.401052
| 9.022056
| 8.816459
| 8.954024
| 7.932666
| 8.846359
| 9.431454
| 8.363654
| 8.43187
| 9.080276
| 8.563401
| 8.310715
| 8.630937
| 8.57629
| 8.52564
| 8.396925
| 9.100019
| 8.512106
|
1704.03214
|
Davoud Kamani
|
Elham Maghsoodi and Davoud Kamani
|
Interaction of the branes in the Presence of the Background Fields: the
Dynamical Non-intersecting Perpendicular Wrapped-Fractional Configuration
|
13 pages, Latex2e, no figure. Minor corrections to Eqs. (3.3) and
(3.5)
|
Int. J. Mod. Phys. A 32, 1750063 (2017)
|
10.1142/S0217751X17500634
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We shall obtain the interaction of the D$p_1$- and D$p_2$-branes in the
toroidal-orbifold spacetime $\mathit{T}^{n}\times\mathbb{R}^{1, d-n-5}
\times\mathbb{C}^{2}/\mathbb{Z}_{2}$. The configuration of the branes is:
non-intersecting, perpendicular, moving-rotating, wrapped-fractional with
background fields. For this, we calculate the bosonic boundary state
corresponding to a dynamical fractional-wrapped D$p$-brane in presence of the
Kalb-Ramond field, a $U(1)$ gauge potential and an open string tachyon field.
The long-range behavior of the interaction amplitude will be extracted.
|
[
{
"created": "Tue, 11 Apr 2017 09:36:58 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Jul 2017 10:43:07 GMT",
"version": "v2"
}
] |
2017-07-25
|
[
[
"Maghsoodi",
"Elham",
""
],
[
"Kamani",
"Davoud",
""
]
] |
We shall obtain the interaction of the D$p_1$- and D$p_2$-branes in the toroidal-orbifold spacetime $\mathit{T}^{n}\times\mathbb{R}^{1, d-n-5} \times\mathbb{C}^{2}/\mathbb{Z}_{2}$. The configuration of the branes is: non-intersecting, perpendicular, moving-rotating, wrapped-fractional with background fields. For this, we calculate the bosonic boundary state corresponding to a dynamical fractional-wrapped D$p$-brane in presence of the Kalb-Ramond field, a $U(1)$ gauge potential and an open string tachyon field. The long-range behavior of the interaction amplitude will be extracted.
| 9.213485
| 7.143348
| 10.209253
| 7.87809
| 8.311055
| 7.347395
| 7.41251
| 7.161611
| 7.609565
| 10.418786
| 7.314259
| 8.013105
| 9.365428
| 8.395453
| 8.150167
| 8.329719
| 8.222768
| 8.339915
| 8.602749
| 9.286336
| 8.565492
|
1203.0015
|
Thomas Hartman
|
Matthias R. Gaberdiel, Thomas Hartman, and Kewang Jin
|
Higher Spin Black Holes from CFT
|
24 pages; v2 reference added
|
JHEP 1204 (2012) 103
|
10.1007/JHEP04(2012)103
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Higher spin gravity in three dimensions has explicit black holes solutions,
carrying higher spin charge. We compute the free energy of a charged black hole
from the holographic dual, a 2d CFT with extended conformal symmetry, and find
exact agreement with the bulk thermodynamics. In the CFT, higher spin
corrections to the free energy can be calculated at high temperature from
correlation functions of W-algebra currents.
|
[
{
"created": "Wed, 29 Feb 2012 21:04:07 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Jun 2012 10:10:02 GMT",
"version": "v2"
}
] |
2015-06-04
|
[
[
"Gaberdiel",
"Matthias R.",
""
],
[
"Hartman",
"Thomas",
""
],
[
"Jin",
"Kewang",
""
]
] |
Higher spin gravity in three dimensions has explicit black holes solutions, carrying higher spin charge. We compute the free energy of a charged black hole from the holographic dual, a 2d CFT with extended conformal symmetry, and find exact agreement with the bulk thermodynamics. In the CFT, higher spin corrections to the free energy can be calculated at high temperature from correlation functions of W-algebra currents.
| 8.29847
| 8.064594
| 10.545338
| 7.903759
| 7.428604
| 8.561739
| 8.150078
| 8.085707
| 7.248208
| 8.558376
| 7.936005
| 8.231237
| 8.669972
| 8.169546
| 7.971992
| 8.000769
| 8.233947
| 8.023818
| 8.077305
| 8.814476
| 7.908521
|
2104.08221
|
Olaf Baake
|
Olaf Baake, Christos Charmousis, Mokhtar Hassaine, Miguel San Juan
|
Regular black holes and gravitational particle-like solutions in generic
DHOST theories
|
20 pages, 5 figures (added new references)
| null |
10.1088/1475-7516/2021/06/021
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We construct regular, asymptotically flat black holes of higher order scalar
tensor (DHOST) theories, which are obtained by making use of a generalized
Kerr-Schild solution generating method. The solutions depend on a mass
integration constant, admit a smooth core of chosen regularity, and generically
have an inner and outer event horizon. In particular, below a certain mass
threshold, we find massive, horizonless, particle-like solutions. We scan
through possible observational signatures ranging from weak to strong gravity
and study the thermodynamics of our regular solutions, comparing them, when
possible, to General Relativity black holes and their thermodynamic laws.
|
[
{
"created": "Fri, 16 Apr 2021 16:56:39 GMT",
"version": "v1"
},
{
"created": "Sat, 24 Jul 2021 18:59:58 GMT",
"version": "v2"
}
] |
2021-07-27
|
[
[
"Baake",
"Olaf",
""
],
[
"Charmousis",
"Christos",
""
],
[
"Hassaine",
"Mokhtar",
""
],
[
"Juan",
"Miguel San",
""
]
] |
We construct regular, asymptotically flat black holes of higher order scalar tensor (DHOST) theories, which are obtained by making use of a generalized Kerr-Schild solution generating method. The solutions depend on a mass integration constant, admit a smooth core of chosen regularity, and generically have an inner and outer event horizon. In particular, below a certain mass threshold, we find massive, horizonless, particle-like solutions. We scan through possible observational signatures ranging from weak to strong gravity and study the thermodynamics of our regular solutions, comparing them, when possible, to General Relativity black holes and their thermodynamic laws.
| 16.923674
| 17.13796
| 14.843358
| 15.306801
| 15.567072
| 15.492777
| 17.856764
| 13.355283
| 14.868204
| 15.459358
| 16.350315
| 16.019337
| 15.200777
| 15.272167
| 15.679146
| 15.229392
| 17.068623
| 15.772698
| 16.36208
| 15.574854
| 15.858396
|
2112.00766
|
Clifford V. Johnson
|
Clifford V. Johnson
|
Consistency Conditions for Non-Perturbative Completions of JT Gravity
|
19 pages, 13 figures, 1 trumpet v2: Clarifying remarks made about a
class of solutions
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This is a careful examination of the key components of a large $N$ random
matrix model method for going beyond ordinary JT gravity's topological
expansion to define non-perturbative physics. It is offered as a simple and
(hopefully) clear framework within which any proposed non-perturbative
definition should fit, and hence be readily compared to others. Some minimal
requirements for constructing consistent non-perturbative formulations are
emphasized. A family of non-perturbative completions emerges from this, which
includes an earlier construction. End-of-the-World branes, or simply D-branes,
emerge straightforwardly in this framework and play a natural role. The
many-body fermion picture of the matrix model is a key organizing motif, with
many features highly analogous to a quantum black hole system, including a size
that grows with the number of its microscopic constituents and a locus (the
Fermi surface) beyond which quantities are traced over in order to define the
physics. A formula for the thermal density matrix is proposed that allows a von
Neumann form for the entropy to be written in matrix model terms.
|
[
{
"created": "Wed, 1 Dec 2021 19:00:06 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Jun 2022 04:08:55 GMT",
"version": "v2"
}
] |
2022-06-03
|
[
[
"Johnson",
"Clifford V.",
""
]
] |
This is a careful examination of the key components of a large $N$ random matrix model method for going beyond ordinary JT gravity's topological expansion to define non-perturbative physics. It is offered as a simple and (hopefully) clear framework within which any proposed non-perturbative definition should fit, and hence be readily compared to others. Some minimal requirements for constructing consistent non-perturbative formulations are emphasized. A family of non-perturbative completions emerges from this, which includes an earlier construction. End-of-the-World branes, or simply D-branes, emerge straightforwardly in this framework and play a natural role. The many-body fermion picture of the matrix model is a key organizing motif, with many features highly analogous to a quantum black hole system, including a size that grows with the number of its microscopic constituents and a locus (the Fermi surface) beyond which quantities are traced over in order to define the physics. A formula for the thermal density matrix is proposed that allows a von Neumann form for the entropy to be written in matrix model terms.
| 17.894634
| 17.764965
| 19.622515
| 16.602695
| 17.972719
| 17.000389
| 16.524536
| 16.419209
| 16.222185
| 20.388296
| 15.98622
| 17.481998
| 17.376661
| 16.564873
| 17.006369
| 16.958195
| 17.227194
| 17.15037
| 16.547882
| 17.80759
| 16.410223
|
hep-th/0609211
|
Daniel Krefl
|
Michael Haack, Daniel Krefl, Dieter Lust, Antoine Van Proeyen and
Marco Zagermann
|
Gaugino Condensates and D-terms from D7-branes
|
34 pages, 1 figure, LaTeX2e; References added, open issue concerning
higher derivative corrections clarified, other minor changes
|
JHEP 0701:078,2007
|
10.1088/1126-6708/2007/01/078
|
LMU-ASC 64/06, MPP-2006-123, KUL-TF-06/24
|
hep-th
| null |
We investigate, at the microscopic level, the compatibility between D-term
potentials from world-volume fluxes on D7-branes and non-perturbative
superpotentials arising from gaugino condensation on a different stack of
D7-branes. This is motivated by attempts to construct metastable de Sitter
vacua in type IIB string theory via D-term uplifts. We find a condition under
which the Kaehler modulus, T, of a Calabi-Yau 4-cycle gets charged under the
anomalous U(1) on the branes with flux. If in addition this 4-cycle is wrapped
by a stack of D7-branes on which gaugino condensation takes place, the question
of U(1)-gauge invariance of the (T-dependent) non-perturbative superpotential
arises. In this case an index theorem guarantees that strings, stretching
between the two stacks, yield additional charged chiral fields which also
appear in the superpotential from gaugino condensation. We check that the
charges work out to make this superpotential gauge invariant, and we argue that
the mechanism survives the inclusion of higher curvature corrections to the
D7-brane action.
|
[
{
"created": "Thu, 28 Sep 2006 18:11:50 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Nov 2006 16:06:26 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Haack",
"Michael",
""
],
[
"Krefl",
"Daniel",
""
],
[
"Lust",
"Dieter",
""
],
[
"Van Proeyen",
"Antoine",
""
],
[
"Zagermann",
"Marco",
""
]
] |
We investigate, at the microscopic level, the compatibility between D-term potentials from world-volume fluxes on D7-branes and non-perturbative superpotentials arising from gaugino condensation on a different stack of D7-branes. This is motivated by attempts to construct metastable de Sitter vacua in type IIB string theory via D-term uplifts. We find a condition under which the Kaehler modulus, T, of a Calabi-Yau 4-cycle gets charged under the anomalous U(1) on the branes with flux. If in addition this 4-cycle is wrapped by a stack of D7-branes on which gaugino condensation takes place, the question of U(1)-gauge invariance of the (T-dependent) non-perturbative superpotential arises. In this case an index theorem guarantees that strings, stretching between the two stacks, yield additional charged chiral fields which also appear in the superpotential from gaugino condensation. We check that the charges work out to make this superpotential gauge invariant, and we argue that the mechanism survives the inclusion of higher curvature corrections to the D7-brane action.
| 6.217729
| 6.627014
| 7.081823
| 6.199652
| 6.145839
| 6.465221
| 6.654478
| 6.324979
| 6.42592
| 7.210182
| 6.21313
| 6.518905
| 6.42382
| 6.281045
| 6.348831
| 6.408036
| 6.211773
| 6.224997
| 6.456172
| 6.545027
| 6.266544
|
2006.13964
|
Jean-Fran\c{c}ois Fortin
|
Jean-Fran\c{c}ois Fortin, Wen-Jie Ma, Witold Skiba
|
Seven-Point Conformal Blocks in the Extended Snowflake Channel and
Beyond
|
1+24 pages (+36 pages of appendixes), 8 figures
| null |
10.1103/PhysRevD.102.125007
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Seven-point functions have two inequivalent topologies or channels. The comb
channel has been computed previously and here we compute scalar conformal
blocks in the extended snowflake channel in $d$ dimensions. Our computation
relies on the known action of the differential operator that sets up the
operator product expansion in embedding space. The scalar conformal blocks in
the extended snowflake channel are obtained as a power series expansion in the
conformal cross-ratios whose coefficients are a triple sum of the
hypergeometric type. This triple sum factorizes into a single sum and a double
sum. The single sum can be seen as originating from the comb channel and is
given in terms of a ${}_3F_2$-hypergeometric function, while the double sum
originates from the snowflake channel which corresponds to a Kamp\'e de
F\'eriet function. We verify that our results satisfy the symmetry properties
of the extended snowflake topology. Moreover, we check that the behavior of the
extended snowflake conformal blocks under several limits is consistent with
known results. Finally, we conjecture rules leading to a partial construction
of scalar $M$-point conformal blocks in arbitrary topologies.
|
[
{
"created": "Wed, 24 Jun 2020 18:04:24 GMT",
"version": "v1"
}
] |
2020-12-30
|
[
[
"Fortin",
"Jean-François",
""
],
[
"Ma",
"Wen-Jie",
""
],
[
"Skiba",
"Witold",
""
]
] |
Seven-point functions have two inequivalent topologies or channels. The comb channel has been computed previously and here we compute scalar conformal blocks in the extended snowflake channel in $d$ dimensions. Our computation relies on the known action of the differential operator that sets up the operator product expansion in embedding space. The scalar conformal blocks in the extended snowflake channel are obtained as a power series expansion in the conformal cross-ratios whose coefficients are a triple sum of the hypergeometric type. This triple sum factorizes into a single sum and a double sum. The single sum can be seen as originating from the comb channel and is given in terms of a ${}_3F_2$-hypergeometric function, while the double sum originates from the snowflake channel which corresponds to a Kamp\'e de F\'eriet function. We verify that our results satisfy the symmetry properties of the extended snowflake topology. Moreover, we check that the behavior of the extended snowflake conformal blocks under several limits is consistent with known results. Finally, we conjecture rules leading to a partial construction of scalar $M$-point conformal blocks in arbitrary topologies.
| 8.361525
| 7.22787
| 8.877469
| 7.414459
| 8.023993
| 7.709421
| 7.617326
| 7.373046
| 7.568085
| 9.631556
| 7.596237
| 7.736115
| 7.66545
| 7.672899
| 7.925146
| 7.677408
| 7.642628
| 7.629592
| 7.644076
| 8.188262
| 7.849494
|
hep-th/9707063
| null |
Friedemann Brandt, Joaquim Gomis, Joan Simon
|
The rigid symmetries of bosonic D-strings
|
7 pages, revtex, no figures
|
Phys.Lett.B419:148-156,1998
|
10.1016/S0370-2693(97)01443-3
|
UB-ECM-PF-97/12
|
hep-th
| null |
We analyse the classical symmetries of bosonic D-string actions and
generalizations thereof. Among others, we show that the simplest actions of
this type have infinitely many nontrivial rigid symmetries which act
nontrivially and nonlinearly both on the target space coordinates and on the
U(1) gauge field, and form a Kac-Moody version of the Weyl algebra (= Poincare
algebra + dilatations).
|
[
{
"created": "Mon, 7 Jul 1997 04:16:37 GMT",
"version": "v1"
}
] |
2011-07-19
|
[
[
"Brandt",
"Friedemann",
""
],
[
"Gomis",
"Joaquim",
""
],
[
"Simon",
"Joan",
""
]
] |
We analyse the classical symmetries of bosonic D-string actions and generalizations thereof. Among others, we show that the simplest actions of this type have infinitely many nontrivial rigid symmetries which act nontrivially and nonlinearly both on the target space coordinates and on the U(1) gauge field, and form a Kac-Moody version of the Weyl algebra (= Poincare algebra + dilatations).
| 10.18296
| 8.07446
| 9.781798
| 8.179136
| 8.482224
| 8.61537
| 9.006618
| 7.866766
| 7.843243
| 10.454393
| 8.177497
| 8.631521
| 9.368029
| 8.596622
| 8.809331
| 8.863809
| 8.612532
| 8.396877
| 8.818833
| 9.063098
| 8.809792
|
hep-th/9909195
|
Jan Ambjorn
|
J. Ambjorn, B. Durhuus, T. Jonsson
|
Branched Polymers Re-Revisited
|
5 pages
| null | null |
NBI-HE-99-36
|
hep-th hep-lat
| null |
We point out some misconceptions in a recent paper by H. Aoki et al.
[hep-th/9909060]. In particular, the claim that the two-point function of
branched polymers behaves as 1/p^4 instead of 1/p^2 for large p is mistaken and
in no way a precondition for the Hausdorff dimension of branched polymers
having the well known value four.
|
[
{
"created": "Tue, 28 Sep 1999 09:21:55 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Ambjorn",
"J.",
""
],
[
"Durhuus",
"B.",
""
],
[
"Jonsson",
"T.",
""
]
] |
We point out some misconceptions in a recent paper by H. Aoki et al. [hep-th/9909060]. In particular, the claim that the two-point function of branched polymers behaves as 1/p^4 instead of 1/p^2 for large p is mistaken and in no way a precondition for the Hausdorff dimension of branched polymers having the well known value four.
| 9.786356
| 8.687768
| 8.603751
| 8.157514
| 8.846089
| 8.29899
| 8.136043
| 8.115199
| 7.836482
| 9.98746
| 8.426188
| 8.167452
| 8.707567
| 7.97301
| 7.988126
| 7.785836
| 8.022395
| 8.008952
| 8.108614
| 8.694846
| 8.021899
|
hep-th/0606009
|
Riuji Mochizuki
|
Riuji Mochizuki
|
Eternally accelerating spacelike braneworld cosmologies
|
8 pages, Mod. Phys. Lett. A Vol.21, No.40(2006) 2989-2996
|
Mod.Phys.Lett.A21:2989-2996,2006
|
10.1142/S0217732306022456
| null |
hep-th
| null |
We construct an eternally inflating spacelike brane world model. If the space
dimension of the brane is three (SM2) or six (SM5) for M theory or four (SD3)
for superstring theory, a time-dependent $n$-form field would supply a constant
energy density and cause exponentially expansion of the spacelike brane. In
these cases, the hyperbolic space perpendicular to the brane would not vary in
size. In the other cases, however, the extra space would vary in size.
|
[
{
"created": "Thu, 1 Jun 2006 08:10:15 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Jun 2006 12:04:55 GMT",
"version": "v2"
},
{
"created": "Mon, 5 Jun 2006 10:47:19 GMT",
"version": "v3"
},
{
"created": "Fri, 9 Jun 2006 10:52:10 GMT",
"version": "v4"
},
{
"created": "Fri, 22 Sep 2006 06:14:51 GMT",
"version": "v5"
},
{
"created": "Thu, 28 Dec 2006 08:45:58 GMT",
"version": "v6"
}
] |
2008-11-26
|
[
[
"Mochizuki",
"Riuji",
""
]
] |
We construct an eternally inflating spacelike brane world model. If the space dimension of the brane is three (SM2) or six (SM5) for M theory or four (SD3) for superstring theory, a time-dependent $n$-form field would supply a constant energy density and cause exponentially expansion of the spacelike brane. In these cases, the hyperbolic space perpendicular to the brane would not vary in size. In the other cases, however, the extra space would vary in size.
| 11.936266
| 12.687763
| 12.049202
| 11.054584
| 11.507702
| 11.632261
| 11.408853
| 11.092884
| 11.407018
| 11.648768
| 10.456028
| 11.744666
| 11.871886
| 11.385324
| 11.414991
| 11.313201
| 11.76093
| 11.047854
| 11.438171
| 11.511643
| 10.908922
|
1712.09364
|
Jay Armas
|
Jay Armas, Troels Harmark, Niels A. Obers
|
Extremal Black Hole Horizons
|
v2: 30pp, 12 figures; comments and reference added; comparison
between approximate and analytic black ring and Myers-Perry solutions added;
to be published in JHEP
|
JHEP 1803 (2018) 099
|
10.1007/JHEP03(2018)099
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using the blackfold effective theory applied to extremal Kerr branes we
provide evidence for the existence of new stationary extremal black hole
solutions in asymptotically flat spacetime with both single and multiple
disconnected horizons. These include extremal doubly-spinning black rings,
black saturns, di-rings and bi-rings in five spacetime dimensions as well as
extremal Myers-Perry black holes and black saturns in dimensions greater than
five. Some of these constructions constitute the first examples of black hole
solutions with extremal disconnected horizons in vacuum Einstein gravity.
|
[
{
"created": "Tue, 26 Dec 2017 19:00:06 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Mar 2018 11:35:31 GMT",
"version": "v2"
}
] |
2018-04-10
|
[
[
"Armas",
"Jay",
""
],
[
"Harmark",
"Troels",
""
],
[
"Obers",
"Niels A.",
""
]
] |
Using the blackfold effective theory applied to extremal Kerr branes we provide evidence for the existence of new stationary extremal black hole solutions in asymptotically flat spacetime with both single and multiple disconnected horizons. These include extremal doubly-spinning black rings, black saturns, di-rings and bi-rings in five spacetime dimensions as well as extremal Myers-Perry black holes and black saturns in dimensions greater than five. Some of these constructions constitute the first examples of black hole solutions with extremal disconnected horizons in vacuum Einstein gravity.
| 8.001131
| 6.530374
| 7.653932
| 6.288457
| 7.262203
| 7.247169
| 6.755896
| 6.769503
| 6.2807
| 7.984099
| 6.230331
| 7.24066
| 7.432553
| 6.875727
| 7.187723
| 7.203183
| 7.114369
| 6.927882
| 6.924718
| 7.557615
| 7.001285
|
hep-th/9602066
|
Walter Troost
|
Frederik Denef, Joris Raeymaekers, Urban M. Studer, Walter Troost
|
Classical Tunneling from the Lorentz-Dirac Equation
|
9 pages, REVTEX, one eps-figure
| null | null |
KUL-TF-94/21
|
hep-th astro-ph hep-ph
| null |
The classical equation of motion of a charged point particle, including its
radiation reaction, is described by the Lorentz-Dirac equation. We found a new
class of solutions that describe tunneling (in a completely classical
context!). For nonrelativistic electrons and a square barrier, the solution is
elementary and explicit. We show the persistance of the solution for smoother
potentials. For a large range of initial velocities, initial conditions may
leave a (discrete) ambiguity on the resulting motion.
|
[
{
"created": "Tue, 13 Feb 1996 11:19:23 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Denef",
"Frederik",
""
],
[
"Raeymaekers",
"Joris",
""
],
[
"Studer",
"Urban M.",
""
],
[
"Troost",
"Walter",
""
]
] |
The classical equation of motion of a charged point particle, including its radiation reaction, is described by the Lorentz-Dirac equation. We found a new class of solutions that describe tunneling (in a completely classical context!). For nonrelativistic electrons and a square barrier, the solution is elementary and explicit. We show the persistance of the solution for smoother potentials. For a large range of initial velocities, initial conditions may leave a (discrete) ambiguity on the resulting motion.
| 17.115959
| 19.72563
| 16.892225
| 17.586712
| 16.187016
| 16.977812
| 17.650112
| 16.797342
| 17.391062
| 17.08288
| 16.773415
| 16.634842
| 16.333086
| 15.822978
| 16.784456
| 16.215689
| 16.324421
| 15.95933
| 16.630739
| 15.743712
| 16.472919
|
2003.05563
|
Taro Tani
|
Naoto Kan, Shun'ya Mizoguchi, Taro Tani
|
Half-hypermultiplets and incomplete/complete resolutions in F-theory
|
50 pages, 16 figures, v2: minor corrections
| null |
10.1007/JHEP08(2020)063
|
KEK-TH-2196
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider resolutions of codimension-two enhanced singularities from
$SO(12)$ to $E_7$ and from $E_7$ to $E_8$ in six-dimensional F-theory, where a
half-hypermultiplet arises for generic complex structures achieving them. The
exceptional fibers at the enhanced point exhibit different structures depending
on how the colliding 7-brane approaches the stack of gauge 7-branes, as
previously observed by Morrison and Taylor in the case of the enhancement from
$SU(6)$ to $E_6$. When the colliding brane approaches them as $O(s)$, where $s$
is the coordinate of the base space along the gauge 7-branes, the resolution
process ends up with fewer exceptional fibers than naively expected from the
Kodaira classification, with a non-Dynkin intersection matrix including
half-integral intersection numbers. We confirm that the exceptional fibers at
the enhanced point form extremal rays of the cone of the positive weights of
the relevant pseudo-real representation, explaining why a half-hypermultiplet
arises there. By altering the ordering of the singularities blown up in the
process, we obtain, for both $SO(12)\rightarrow E_7$ and $E_7\rightarrow E_8$,
the intersection diagram on every other row of the corresponding box graphs. We
present detailed derivations of the intersection diagrams of the exceptional
fibers at the singularity enhanced points by examining how an exceptional curve
is lifted up on the chart arising due to the subsequent blowing-up process.
When the colliding brane approaches the stack of branes as $O(s^2)$, we obtain
additional conifold singularity at the enhanced point, which completes the full
Dynkin diagram of the enhanced group as was found previously.
|
[
{
"created": "Thu, 12 Mar 2020 01:13:32 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Aug 2020 07:53:19 GMT",
"version": "v2"
}
] |
2020-12-02
|
[
[
"Kan",
"Naoto",
""
],
[
"Mizoguchi",
"Shun'ya",
""
],
[
"Tani",
"Taro",
""
]
] |
We consider resolutions of codimension-two enhanced singularities from $SO(12)$ to $E_7$ and from $E_7$ to $E_8$ in six-dimensional F-theory, where a half-hypermultiplet arises for generic complex structures achieving them. The exceptional fibers at the enhanced point exhibit different structures depending on how the colliding 7-brane approaches the stack of gauge 7-branes, as previously observed by Morrison and Taylor in the case of the enhancement from $SU(6)$ to $E_6$. When the colliding brane approaches them as $O(s)$, where $s$ is the coordinate of the base space along the gauge 7-branes, the resolution process ends up with fewer exceptional fibers than naively expected from the Kodaira classification, with a non-Dynkin intersection matrix including half-integral intersection numbers. We confirm that the exceptional fibers at the enhanced point form extremal rays of the cone of the positive weights of the relevant pseudo-real representation, explaining why a half-hypermultiplet arises there. By altering the ordering of the singularities blown up in the process, we obtain, for both $SO(12)\rightarrow E_7$ and $E_7\rightarrow E_8$, the intersection diagram on every other row of the corresponding box graphs. We present detailed derivations of the intersection diagrams of the exceptional fibers at the singularity enhanced points by examining how an exceptional curve is lifted up on the chart arising due to the subsequent blowing-up process. When the colliding brane approaches the stack of branes as $O(s^2)$, we obtain additional conifold singularity at the enhanced point, which completes the full Dynkin diagram of the enhanced group as was found previously.
| 9.623517
| 11.38559
| 11.241163
| 9.748023
| 10.927985
| 11.234772
| 11.095739
| 10.245268
| 9.820424
| 12.327049
| 9.975692
| 9.499384
| 9.727968
| 9.325244
| 9.722668
| 9.867286
| 9.450459
| 9.483717
| 9.454308
| 9.898983
| 9.28907
|
hep-th/9802018
|
George Leontaris
|
E.G. Floratos, G.K. Leontaris
|
A Note on the Supersymmetries of the Self-Dual Supermembrane
|
Latex file, 12pages, no figures
|
Phys.Lett. B428 (1998) 75-81
|
10.1016/S0370-2693(98)00398-0
| null |
hep-th
| null |
In this letter we discuss the supersymmetry issue of the self dual
supermembranes in (8+1) and (4+1)-dimensions. We find that all genuine
solutions of the (8+1)-dimensional supermembrane, based on the exceptional
group G_2, preserve one of the sixteen supersymmetries while all solutions in
(4+1)-dimensions preserve eight of them.
|
[
{
"created": "Wed, 4 Feb 1998 08:28:44 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Floratos",
"E. G.",
""
],
[
"Leontaris",
"G. K.",
""
]
] |
In this letter we discuss the supersymmetry issue of the self dual supermembranes in (8+1) and (4+1)-dimensions. We find that all genuine solutions of the (8+1)-dimensional supermembrane, based on the exceptional group G_2, preserve one of the sixteen supersymmetries while all solutions in (4+1)-dimensions preserve eight of them.
| 6.942922
| 6.599661
| 7.390566
| 6.067656
| 5.776297
| 5.818212
| 6.265237
| 6.100655
| 6.161385
| 6.819075
| 6.072929
| 6.072525
| 6.694603
| 5.903552
| 5.958383
| 6.039955
| 5.906586
| 6.123681
| 5.931293
| 6.441804
| 5.937891
|
hep-th/9910073
|
Libin Fu
|
Yishi Duan, Libin Fu
|
The General Decomposition Theory of SU(2) Gauge Potential, Topological
Structure and Bifurcation of SU(2) Chern Density
|
revtex, 21pages, no figure
|
J.Math.Phys. 39 (1998) 4343-4355
|
10.1063/1.532515
| null |
hep-th
| null |
By means of the geometric algebra the general decomposition of SU(2) gauge
potential on the sphere bundle of a compact and oriented 4-dimensional manifold
is given. Using this decomposition theory the SU(2) Chern density has been
studied in detail. It shows that the SU(2) Chern density can be expressed in
terms of the $\delta -$function $\delta (\phi) $. And one can find that the
zero points of the vector fields $\phi$ are essential to the topological
properties of a manifold. It is shown that there exists the crucial case of
branch process at the zero points. Based on the implicit function theorem and
the taylor expansion, the bifurcation of the Chern density is detailed in the
neighborhoods of the bifurcation points of $\phi$. It is pointed out that,
since the Chren density is a topological invariant, the sum topological
chargers of the branches will remain constant during the bifurcation process.
|
[
{
"created": "Fri, 8 Oct 1999 07:39:52 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Duan",
"Yishi",
""
],
[
"Fu",
"Libin",
""
]
] |
By means of the geometric algebra the general decomposition of SU(2) gauge potential on the sphere bundle of a compact and oriented 4-dimensional manifold is given. Using this decomposition theory the SU(2) Chern density has been studied in detail. It shows that the SU(2) Chern density can be expressed in terms of the $\delta -$function $\delta (\phi) $. And one can find that the zero points of the vector fields $\phi$ are essential to the topological properties of a manifold. It is shown that there exists the crucial case of branch process at the zero points. Based on the implicit function theorem and the taylor expansion, the bifurcation of the Chern density is detailed in the neighborhoods of the bifurcation points of $\phi$. It is pointed out that, since the Chren density is a topological invariant, the sum topological chargers of the branches will remain constant during the bifurcation process.
| 12.353979
| 11.198684
| 13.462465
| 11.551963
| 11.862153
| 11.88508
| 11.481207
| 11.844674
| 12.292172
| 13.016683
| 11.598445
| 11.864936
| 11.724039
| 11.542437
| 11.728923
| 11.761925
| 12.151226
| 11.556546
| 11.745587
| 11.592274
| 11.766233
|
1402.0828
|
Tom Banks
|
T. Banks
|
Supersymmetry Breaking and the Cosmological Constant
|
50 pages LaTeX2e, to be published in Int. J. Mod. Phys. A. The
section on Supersymmetric Large Extra Dimensions is derived from C. Burgess'
marvelous Les Houches lectures on this topic, arXiv:1309.4133 . This version
corrects many typos and missing references from the previous one. Third
version has corrections to references
| null |
10.1142/S0217751X14300105
|
RUNHETC-2014-05 SCIPP 14/04
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
I review three attempts to explain the small value of the cosmological
constant, and their connection to SUSY breaking. They are The String Landscape,
Supersymmetric Large Extra Dimensions (SLED), and the Holographic Space-time
Formalism invented by Fischler and myself.
|
[
{
"created": "Tue, 4 Feb 2014 18:49:04 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Apr 2014 19:22:30 GMT",
"version": "v2"
},
{
"created": "Thu, 22 May 2014 15:57:48 GMT",
"version": "v3"
}
] |
2015-06-18
|
[
[
"Banks",
"T.",
""
]
] |
I review three attempts to explain the small value of the cosmological constant, and their connection to SUSY breaking. They are The String Landscape, Supersymmetric Large Extra Dimensions (SLED), and the Holographic Space-time Formalism invented by Fischler and myself.
| 12.660247
| 9.750031
| 10.949112
| 9.035981
| 8.313103
| 8.446592
| 9.384502
| 7.679742
| 7.598878
| 11.598132
| 8.84621
| 9.97967
| 10.749135
| 9.911122
| 9.681487
| 10.092168
| 9.709659
| 9.510599
| 9.244589
| 9.9252
| 9.90326
|
0811.4465
|
Brett McInnes
|
Brett McInnes
|
Horizon Complementarity and Casimir Violations of the Null Energy
Condition
|
30 pages including 7 figures
| null | null | null |
hep-th astro-ph gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The principle of horizon complementarity is an attempt to extend ideas about
black hole complementarity to all horizons, including cosmological ones. The
idea is that the degrees of freedom necessary to describe the interior of the
cosmic horizon of one observer in a given universe are in fact sufficient to
account for the physics of that entire universe: the remainder is just a set of
redundant copies of the interior of a single cosmic horizon. These copies must
be factored out, just as one has to factor out gauge redundancies to identify
the true degrees of freedom in gauge theory. Motivated by the observation that
quantum cosmology favours compactified negatively curved spatial sections, we
propose to use such geometries to implement horizon complementarity for eternal
Inflation. We point out that the "effective finiteness" of such universes has
important consequences for physics inside the observer's horizon: there is a
non-local effect, represented by a Casimir energy. We use our proposed
interpretation of complementarity to constrain the gravitational Casimir
coupling in two very different ways; the result is an explicit prediction for
the value of the coupling.
|
[
{
"created": "Thu, 27 Nov 2008 04:23:31 GMT",
"version": "v1"
},
{
"created": "Sat, 23 May 2009 08:36:49 GMT",
"version": "v2"
}
] |
2009-05-23
|
[
[
"McInnes",
"Brett",
""
]
] |
The principle of horizon complementarity is an attempt to extend ideas about black hole complementarity to all horizons, including cosmological ones. The idea is that the degrees of freedom necessary to describe the interior of the cosmic horizon of one observer in a given universe are in fact sufficient to account for the physics of that entire universe: the remainder is just a set of redundant copies of the interior of a single cosmic horizon. These copies must be factored out, just as one has to factor out gauge redundancies to identify the true degrees of freedom in gauge theory. Motivated by the observation that quantum cosmology favours compactified negatively curved spatial sections, we propose to use such geometries to implement horizon complementarity for eternal Inflation. We point out that the "effective finiteness" of such universes has important consequences for physics inside the observer's horizon: there is a non-local effect, represented by a Casimir energy. We use our proposed interpretation of complementarity to constrain the gravitational Casimir coupling in two very different ways; the result is an explicit prediction for the value of the coupling.
| 12.088971
| 11.884035
| 12.38447
| 11.447713
| 13.263761
| 12.736413
| 12.556364
| 11.638534
| 11.479702
| 12.119061
| 11.618126
| 12.038796
| 11.597302
| 11.395981
| 11.856483
| 11.525934
| 11.606325
| 11.732011
| 11.793954
| 11.880568
| 11.096615
|
hep-th/9904206
|
Per Osland
|
Odd Magne Ogreid and Per Osland (Bergen)
|
More Series related to the Euler Series
|
17 pages, LaTeX, uses elsart.cls
|
J.Comput.Appl.Math. 136 (2001) 389-403
| null |
Bergen 1999-04
|
hep-th hep-ph math-ph math.MP
| null |
We present results for infinite series appearing in Feynman diagram
calculations, many of which are similar to the Euler series. These include both
one-, two- and three-dimensional series. All these series can be expressed in
terms of zeta(2) and zeta(3).
|
[
{
"created": "Thu, 29 Apr 1999 13:01:16 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Ogreid",
"Odd Magne",
"",
"Bergen"
],
[
"Osland",
"Per",
"",
"Bergen"
]
] |
We present results for infinite series appearing in Feynman diagram calculations, many of which are similar to the Euler series. These include both one-, two- and three-dimensional series. All these series can be expressed in terms of zeta(2) and zeta(3).
| 9.500921
| 8.275855
| 8.493386
| 8.616604
| 8.356215
| 7.711669
| 9.856218
| 8.480628
| 8.043262
| 9.199949
| 8.68428
| 9.266205
| 8.948977
| 8.331265
| 9.549882
| 8.946511
| 9.364459
| 9.184137
| 8.91306
| 9.145876
| 9.323652
|
1603.06168
|
Alexander Torres Gomez Dr.
|
Elizabeth Gasparim, Bruno Suzuki, Alexander Torres-Gomez and Carlos A.
B. Varea
|
Topological String Partition Function on Generalised Conifolds
|
v2 has small corrections, has improved exposition. Revised version to
appear in: "Journal of Mathematical Physics"
|
Journal of Mathematical Physics 58, 042303 (2017)
|
10.1063/1.4980013
| null |
hep-th math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the partition function on a generalised conifold $C_{m,n}$ with
${m+n \choose m}$ crepant resolutions can be equivalently computed on the
compound du Val singularity $A_{m+n-1}\times \mathbb C$ with a unique crepant
resolution.
|
[
{
"created": "Sun, 20 Mar 2016 00:27:43 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Apr 2017 12:58:28 GMT",
"version": "v2"
}
] |
2017-04-27
|
[
[
"Gasparim",
"Elizabeth",
""
],
[
"Suzuki",
"Bruno",
""
],
[
"Torres-Gomez",
"Alexander",
""
],
[
"Varea",
"Carlos A. B.",
""
]
] |
We show that the partition function on a generalised conifold $C_{m,n}$ with ${m+n \choose m}$ crepant resolutions can be equivalently computed on the compound du Val singularity $A_{m+n-1}\times \mathbb C$ with a unique crepant resolution.
| 10.093925
| 9.495699
| 15.159943
| 9.569109
| 9.014305
| 11.518407
| 8.826141
| 10.006061
| 9.948273
| 17.479557
| 10.940928
| 9.275787
| 12.426366
| 9.357772
| 10.140235
| 9.659176
| 8.972324
| 9.573139
| 9.46665
| 10.743537
| 8.99878
|
1508.01608
|
Justin David R
|
Subham Dutta Chowdhury, Justin R. David
|
Anomalous transport at weak coupling
|
70 pages, 13 figures, typos corrected, added clarifications and a
reference
| null | null | null |
hep-th cond-mat.quant-gas
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We evaluate the contribution of chiral fermions in $d=2, 4, 6$, chiral
bosons, a chiral gravitino like theory in $d=2$ and chiral gravitinos in $d=6$
to all the leading parity odd transport coefficients at one loop. This is done
by using finite temperature field theory to evaluate the relevant Kubo
formulae. For chiral fermions and chiral bosons the relation between the parity
odd transport coefficient and the microscopic anomalies including gravitational
anomalies agree with that found by using the general methods of hydrodynamics
and the argument involving the consistency of the Euclidean vacuum. For the
gravitino like theory in $d=2$ and chiral gravitinos in $d=6$, we show that
relation between the pure gravitational anomaly and parity odd transport breaks
down. From the perturbative calculation we clearly identify the terms that
contribute to the anomaly polynomial, but not to the transport coefficient for
gravitinos. We also develop a simple method for evaluating the angular
integrals in the one loop diagrams involved in the Kubo formulae. Finally we
show that charge diffusion mode of an ideal 2 dimensional Weyl gas in the
presence of a finite chemical potential acquires a speed, which is equal to
half the speed of light.
|
[
{
"created": "Fri, 7 Aug 2015 05:18:11 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Sep 2015 00:54:46 GMT",
"version": "v2"
}
] |
2015-09-03
|
[
[
"Chowdhury",
"Subham Dutta",
""
],
[
"David",
"Justin R.",
""
]
] |
We evaluate the contribution of chiral fermions in $d=2, 4, 6$, chiral bosons, a chiral gravitino like theory in $d=2$ and chiral gravitinos in $d=6$ to all the leading parity odd transport coefficients at one loop. This is done by using finite temperature field theory to evaluate the relevant Kubo formulae. For chiral fermions and chiral bosons the relation between the parity odd transport coefficient and the microscopic anomalies including gravitational anomalies agree with that found by using the general methods of hydrodynamics and the argument involving the consistency of the Euclidean vacuum. For the gravitino like theory in $d=2$ and chiral gravitinos in $d=6$, we show that relation between the pure gravitational anomaly and parity odd transport breaks down. From the perturbative calculation we clearly identify the terms that contribute to the anomaly polynomial, but not to the transport coefficient for gravitinos. We also develop a simple method for evaluating the angular integrals in the one loop diagrams involved in the Kubo formulae. Finally we show that charge diffusion mode of an ideal 2 dimensional Weyl gas in the presence of a finite chemical potential acquires a speed, which is equal to half the speed of light.
| 7.866811
| 8.162424
| 8.48687
| 7.941346
| 8.45521
| 8.463678
| 8.390503
| 8.036731
| 7.749019
| 8.775345
| 7.619996
| 7.644058
| 7.913981
| 7.698079
| 7.575003
| 7.506618
| 7.448183
| 7.589803
| 7.768671
| 8.163421
| 7.435344
|
hep-th/9501053
|
Banks Tomas
|
T. Banks, M.Berkooz, P.J. Steinhardt
|
The Cosmological Moduli Problem, Supersymmetry Breaking and Stability in
Postinflationary Cosmology
|
harvmac
|
Phys.Rev.D52:705-716,1995
|
10.1103/PhysRevD.52.705
|
RU-94-92
|
hep-th astro-ph hep-ph
| null |
A survey of solutions to the cosmological moduli problem in string theory.
The only extant proposal which may work is Intermediate Scale Inflation as
proposed by Randall and Thomas. Supersymmetry preserving dynamics which could
give large masses to the moduli is strongly constrained by cosmology and
requires the existence of string vacuum states possessing properties different
from those of any known vacuuum. Such a mechanism cannot give mass to the
dilaton unless there are cancellations between different exponentially small
contributions to the superpotential. Our investigation also shows that
stationary points of the effective potential with negative vacuum energy do not
correspond to stationary solutions of the equations of postinflationary
cosmology. This suggests that supersymmetry breaking is a requirement for a
successful inflationary cosmology.
|
[
{
"created": "Fri, 13 Jan 1995 17:54:52 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Banks",
"T.",
""
],
[
"Berkooz",
"M.",
""
],
[
"Steinhardt",
"P. J.",
""
]
] |
A survey of solutions to the cosmological moduli problem in string theory. The only extant proposal which may work is Intermediate Scale Inflation as proposed by Randall and Thomas. Supersymmetry preserving dynamics which could give large masses to the moduli is strongly constrained by cosmology and requires the existence of string vacuum states possessing properties different from those of any known vacuuum. Such a mechanism cannot give mass to the dilaton unless there are cancellations between different exponentially small contributions to the superpotential. Our investigation also shows that stationary points of the effective potential with negative vacuum energy do not correspond to stationary solutions of the equations of postinflationary cosmology. This suggests that supersymmetry breaking is a requirement for a successful inflationary cosmology.
| 13.63163
| 15.504228
| 14.333383
| 13.79053
| 14.211884
| 15.688704
| 15.175275
| 13.163199
| 13.177418
| 14.229779
| 12.991318
| 14.033122
| 13.506665
| 13.422408
| 13.343364
| 13.973461
| 13.906909
| 13.93543
| 12.760798
| 12.728597
| 13.289664
|
1009.5690
|
Ufuk Aydemir
|
Ufuk Aydemir, Luca Grisa, and Lorenzo Sorbo
|
Dynamical Four-Form Fields
|
5 pages
|
Phys.Rev.D83:063516,2011
|
10.1103/PhysRevD.83.063516
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present an example of a gauge-invariant Lagrangian that contains four
derivatives and describes one massive, non-ghostlike, degree of freedom.
|
[
{
"created": "Tue, 28 Sep 2010 20:39:37 GMT",
"version": "v1"
}
] |
2011-03-22
|
[
[
"Aydemir",
"Ufuk",
""
],
[
"Grisa",
"Luca",
""
],
[
"Sorbo",
"Lorenzo",
""
]
] |
We present an example of a gauge-invariant Lagrangian that contains four derivatives and describes one massive, non-ghostlike, degree of freedom.
| 14.0176
| 9.494796
| 10.211446
| 9.174812
| 11.157053
| 10.042527
| 11.487508
| 11.291768
| 10.492721
| 11.561557
| 9.708131
| 11.616679
| 11.539424
| 10.9812
| 11.559381
| 10.315085
| 11.109212
| 11.005602
| 11.647782
| 12.231867
| 10.851891
|
hep-th/0311216
|
Ioannis Giannakis
|
Ioannis Giannakis, James T. Liu and Hai-cang Ren
|
The Radion in the Karch-Randall Braneworld
|
19 pages, Plain Tex
|
Nucl.Phys. B681 (2004) 120-136
|
10.1016/j.nuclphysb.2004.01.004
|
RU03-05B, MCTP-03-47
|
hep-th gr-qc
| null |
In a braneworld context, the radion is a massless mode coupling to the trace
of the matter stress tensor. Since the radion also governs the separation
between branes, it is expected to decouple from the physical spectrum in single
brane scenarios, such as the one-brane Randall-Sundrum model. However, contrary
to expectations, we demonstrate that the Karch-Randall radion always remains as
a physical excitation, even in the single brane case. Here, the radion measures
the distance not between branes, but rather between the brane and the anti-de
Sitter boundary on the other side of the bulk.
|
[
{
"created": "Mon, 24 Nov 2003 17:11:48 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Giannakis",
"Ioannis",
""
],
[
"Liu",
"James T.",
""
],
[
"Ren",
"Hai-cang",
""
]
] |
In a braneworld context, the radion is a massless mode coupling to the trace of the matter stress tensor. Since the radion also governs the separation between branes, it is expected to decouple from the physical spectrum in single brane scenarios, such as the one-brane Randall-Sundrum model. However, contrary to expectations, we demonstrate that the Karch-Randall radion always remains as a physical excitation, even in the single brane case. Here, the radion measures the distance not between branes, but rather between the brane and the anti-de Sitter boundary on the other side of the bulk.
| 6.502032
| 6.039173
| 6.300083
| 5.824739
| 6.113183
| 5.938044
| 5.905503
| 6.08744
| 5.724295
| 6.823351
| 6.214715
| 5.78832
| 6.006759
| 5.965231
| 5.774496
| 5.682324
| 5.836936
| 5.859874
| 6.073774
| 6.395051
| 5.775432
|
hep-th/9904080
|
Mark D. Roberts
|
Mark D. Roberts
|
A Generalized Higgs Model
|
Discussion of the principles involved added, 6 pages
| null | null | null |
hep-th gr-qc
| null |
The Higgs model is generalized so that in addition to the radial Higgs field
there are fields which correspond to the themasy and entropy. The model is
further generalized to include state and sign parameters. A reduction to the
standard Higgs model is given and how to break symmetry using a non-zero VEV
(vacuum expectation value) is shown. A 'fluid rotation' can be performed on the
standard Higgs model to give a model dependant on the entropy and themasy and
with a constant mass.
|
[
{
"created": "Sun, 11 Apr 1999 12:30:14 GMT",
"version": "v1"
},
{
"created": "Sat, 23 Dec 2000 19:29:40 GMT",
"version": "v2"
},
{
"created": "Thu, 30 May 2002 19:07:01 GMT",
"version": "v3"
},
{
"created": "Sun, 14 Dec 2003 16:53:17 GMT",
"version": "v4"
}
] |
2007-05-23
|
[
[
"Roberts",
"Mark D.",
""
]
] |
The Higgs model is generalized so that in addition to the radial Higgs field there are fields which correspond to the themasy and entropy. The model is further generalized to include state and sign parameters. A reduction to the standard Higgs model is given and how to break symmetry using a non-zero VEV (vacuum expectation value) is shown. A 'fluid rotation' can be performed on the standard Higgs model to give a model dependant on the entropy and themasy and with a constant mass.
| 20.290884
| 22.306763
| 20.504892
| 18.515257
| 19.904356
| 19.630451
| 21.101841
| 20.893961
| 18.762339
| 20.063135
| 19.771957
| 19.031975
| 19.165319
| 19.204937
| 18.607157
| 19.139004
| 18.377254
| 18.613005
| 19.37122
| 18.889622
| 18.23402
|
1909.05489
|
Hiroshi Suzuki
|
Masahiro Ashie, Okuto Morikawa, Hiroshi Suzuki, Hiromasa Takaura and
Kengo Takeuchi
|
Infrared renormalon in $SU(N)$ QCD(adj.) on $\mathbb{R}^3\times S^1$
|
24 pages, 1 figure, the final version to appear in PTEP
|
Prog Theor Exp Phys (2020)
|
10.1093/ptep/ptz157
|
KYUSHU-HET-198
|
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the infrared renormalon in the gluon condensate in the $SU(N)$ gauge
theory with $n_W$-flavor adjoint Weyl fermions (QCD(adj.))
on~$\mathbb{R}^3\times S^1$ with the $\mathbb{Z}_N$ twisted boundary
conditions. We rely on the so-called large-$\beta_0$ approximation as a
conventional tool to analyze the renormalon, in which only Feynman diagrams
that dominate in the large-$n_W$ limit are considered while the coefficient of
the vacuum polarization is set by hand to the one-loop beta
function~$\beta_0=11/3-2n_W/3$. In the large~$N$ limit within the
large-$\beta_0$ approximation, the W-boson, which acquires the twisted
Kaluza--Klein momentum, produces the renormalon ambiguity corresponding to the
Borel singularity at~$u=2$. This provides an example that the system in the
compactified space~$\mathbb{R}^3\times S^1$ possesses the renormalon ambiguity
identical to that in the uncompactified space~$\mathbb{R}^4$. We also discuss
the subtle issue that the location of the Borel singularity can change
depending on the order of two necessary operations.
|
[
{
"created": "Thu, 12 Sep 2019 07:23:51 GMT",
"version": "v1"
},
{
"created": "Sat, 12 Oct 2019 12:09:46 GMT",
"version": "v2"
},
{
"created": "Fri, 17 Jan 2020 14:30:57 GMT",
"version": "v3"
}
] |
2020-02-12
|
[
[
"Ashie",
"Masahiro",
""
],
[
"Morikawa",
"Okuto",
""
],
[
"Suzuki",
"Hiroshi",
""
],
[
"Takaura",
"Hiromasa",
""
],
[
"Takeuchi",
"Kengo",
""
]
] |
We study the infrared renormalon in the gluon condensate in the $SU(N)$ gauge theory with $n_W$-flavor adjoint Weyl fermions (QCD(adj.)) on~$\mathbb{R}^3\times S^1$ with the $\mathbb{Z}_N$ twisted boundary conditions. We rely on the so-called large-$\beta_0$ approximation as a conventional tool to analyze the renormalon, in which only Feynman diagrams that dominate in the large-$n_W$ limit are considered while the coefficient of the vacuum polarization is set by hand to the one-loop beta function~$\beta_0=11/3-2n_W/3$. In the large~$N$ limit within the large-$\beta_0$ approximation, the W-boson, which acquires the twisted Kaluza--Klein momentum, produces the renormalon ambiguity corresponding to the Borel singularity at~$u=2$. This provides an example that the system in the compactified space~$\mathbb{R}^3\times S^1$ possesses the renormalon ambiguity identical to that in the uncompactified space~$\mathbb{R}^4$. We also discuss the subtle issue that the location of the Borel singularity can change depending on the order of two necessary operations.
| 5.639997
| 5.747125
| 5.910968
| 5.550065
| 5.882184
| 5.865649
| 6.072291
| 5.643788
| 5.461469
| 6.82542
| 5.836478
| 5.666591
| 5.705913
| 5.652161
| 5.792033
| 5.64328
| 5.761909
| 5.650456
| 5.470823
| 5.570755
| 5.540547
|
1705.02578
|
Sergey Pavluchenko A.
|
Sergey A. Pavluchenko
|
Cosmological dynamics of spatially flat Einstein-Gauss-Bonnet models in
various dimensions: High-dimensional $\Lambda$-term case
|
31 pages, 6 figures, 4 tables
|
Eur. Phys. J. C 77, 503 (2017)
|
10.1140/epjc/s10052-017-5056-6
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we perform a systematic study of spatially flat
$[(3+D)+1]$-dimensional Einstein-Gauss-Bonnet cosmological models with
$\Lambda$-term. We consider models that topologically are the product of two
flat isotropic subspaces with different scale factors. One of these subspaces
is three-dimensional and represents our space and the other is $D$-dimensional
and represents extra dimensions. We consider no {\it ansatz} of the scale
factors, which makes our results quite general. With both Einstein-Hilbert and
Gauss-Bonnet contributions in play, $D=3$ and the general $D\geqslant 4$ cases
have slightly different dynamics due to the different structure of the
equations of motion. We analytically study equations of motion in both cases
and describe all possible regimes with special interest on the realistic
regimes. Our analysis suggests that the only realistic regime is the transition
from high-energy (Gauss-Bonnet) Kasner regime, which is the standard
cosmological singularity in that case, to the anisotropic exponential regime
with expanding three and contracting extra dimensions. Availability of this
regime allows us to put constraint on the value of Gauss-Bonnet coupling
$\alpha$ and the $\Lambda$-term -- this regime appears in two regions on
$(\alpha, \Lambda)$ plane: $\alpha < 0$, $\Lambda > 0$, $\alpha\Lambda
\leqslant 1/2$ and $\alpha > 0$, $\alpha\Lambda \leqslant (3D^2 - 7D +
6)/(4D(D-1))$, including entire $\Lambda < 0$ region. The obtained bounds are
confronted with the restrictions on $\alpha$ and $\Lambda$ from other
considerations, like causality, entropy-to-viscosity ratio in AdS/CFT and
others. Joint analysis constraints ($\alpha$, $\Lambda$) even further: $\alpha
> 0$, $D \geqslant 2$ with $(3D^2 - 7D + 6)/(4D(D-1)) \geqslant \alpha \Lambda
\geqslant - (D+2)(D+3)(D^2 + 5D + 12)/(8(D^2 + 3D + 6)^2)$.
|
[
{
"created": "Sun, 7 May 2017 08:16:12 GMT",
"version": "v1"
}
] |
2017-08-21
|
[
[
"Pavluchenko",
"Sergey A.",
""
]
] |
In this paper we perform a systematic study of spatially flat $[(3+D)+1]$-dimensional Einstein-Gauss-Bonnet cosmological models with $\Lambda$-term. We consider models that topologically are the product of two flat isotropic subspaces with different scale factors. One of these subspaces is three-dimensional and represents our space and the other is $D$-dimensional and represents extra dimensions. We consider no {\it ansatz} of the scale factors, which makes our results quite general. With both Einstein-Hilbert and Gauss-Bonnet contributions in play, $D=3$ and the general $D\geqslant 4$ cases have slightly different dynamics due to the different structure of the equations of motion. We analytically study equations of motion in both cases and describe all possible regimes with special interest on the realistic regimes. Our analysis suggests that the only realistic regime is the transition from high-energy (Gauss-Bonnet) Kasner regime, which is the standard cosmological singularity in that case, to the anisotropic exponential regime with expanding three and contracting extra dimensions. Availability of this regime allows us to put constraint on the value of Gauss-Bonnet coupling $\alpha$ and the $\Lambda$-term -- this regime appears in two regions on $(\alpha, \Lambda)$ plane: $\alpha < 0$, $\Lambda > 0$, $\alpha\Lambda \leqslant 1/2$ and $\alpha > 0$, $\alpha\Lambda \leqslant (3D^2 - 7D + 6)/(4D(D-1))$, including entire $\Lambda < 0$ region. The obtained bounds are confronted with the restrictions on $\alpha$ and $\Lambda$ from other considerations, like causality, entropy-to-viscosity ratio in AdS/CFT and others. Joint analysis constraints ($\alpha$, $\Lambda$) even further: $\alpha > 0$, $D \geqslant 2$ with $(3D^2 - 7D + 6)/(4D(D-1)) \geqslant \alpha \Lambda \geqslant - (D+2)(D+3)(D^2 + 5D + 12)/(8(D^2 + 3D + 6)^2)$.
| 5.778662
| 5.169742
| 5.937478
| 5.443081
| 5.361188
| 5.334156
| 5.450409
| 5.297105
| 5.334795
| 6.567723
| 5.411523
| 5.73823
| 5.77824
| 5.631167
| 5.704267
| 5.67235
| 5.7054
| 5.571454
| 5.72208
| 5.782019
| 5.696483
|
hep-th/0105283
|
Yuji Satoh
|
Kazuo Hosomichi and Yuji Satoh
|
Operator product expansion in SL(2) conformal field theory
|
10 pages, latex, discussion on primaries added, shortened version to
appear in MPL A
|
Mod.Phys.Lett.A17:683-693,2002
|
10.1142/S021773230200703X
|
YITP-01-47, UTHEP-442
|
hep-th
| null |
In the conformal field theories having affine SL(2) symmetry, we study the
operator product expansion (OPE) involving primary fields in highest weight
representations. For this purpose, we analyze properties of primary fields with
definite SL(2) weights, and calculate their two- and three-point functions.
Using these correlators, we show that the correct OPE is obtained when one of
the primary fields belongs to the degenerate highest weight representation. We
briefly comment on the OPE in the SL(2,R) WZNW model.
|
[
{
"created": "Tue, 29 May 2001 07:41:40 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Jul 2001 10:13:27 GMT",
"version": "v2"
},
{
"created": "Wed, 27 Mar 2002 11:38:47 GMT",
"version": "v3"
},
{
"created": "Thu, 28 Mar 2002 11:05:47 GMT",
"version": "v4"
},
{
"created": "Mon, 8 Apr 2002 11:02:18 GMT",
"version": "v5"
},
{
"created": "Fri, 3 May 2002 12:34:52 GMT",
"version": "v6"
}
] |
2014-11-18
|
[
[
"Hosomichi",
"Kazuo",
""
],
[
"Satoh",
"Yuji",
""
]
] |
In the conformal field theories having affine SL(2) symmetry, we study the operator product expansion (OPE) involving primary fields in highest weight representations. For this purpose, we analyze properties of primary fields with definite SL(2) weights, and calculate their two- and three-point functions. Using these correlators, we show that the correct OPE is obtained when one of the primary fields belongs to the degenerate highest weight representation. We briefly comment on the OPE in the SL(2,R) WZNW model.
| 6.915656
| 6.204281
| 7.221326
| 6.452198
| 6.790592
| 6.309741
| 6.136465
| 6.484449
| 6.02992
| 7.183492
| 6.225657
| 6.544753
| 7.068335
| 6.547421
| 6.65359
| 6.376113
| 6.273785
| 6.609484
| 6.469441
| 6.972379
| 6.507841
|
hep-th/0306251
|
Hiroshi Umetsu
|
Machiko Hatsuda, Satoshi Iso and Hiroshi Umetsu
|
Noncommutative Superspace, Supermatrix and Lowest Landau Level
|
29 pages, Latex. A subsection is added to explain the Seiberg's
noncommutative superspace as a constrained system
|
Nucl.Phys. B671 (2003) 217-242
|
10.1016/j.nuclphysb.2003.08.013
|
KEK-TH-896
|
hep-th
| null |
By using graded (super) Lie algebras, we can construct noncommutative
superspace on curved homogeneous manifolds. In this paper, we take a flat limit
to obtain flat noncommutative superspace. We particularly consider $d=2$ and
$d=4$ superspaces based on the graded Lie algebras $osp(1|2)$, $su(2|1)$ and
$psu(2|2)$. Jacobi identities of supersymmetry algebras and associativities of
star products are automatically satisfied. Covariant derivatives which commute
with supersymmetry generators are obtained and chiral constraints can be
imposed. We also discuss that these noncommutative superspaces can be
understood as constrained systems analogous to the lowest Landau level system.
|
[
{
"created": "Wed, 25 Jun 2003 18:43:48 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Jul 2003 14:10:25 GMT",
"version": "v2"
}
] |
2015-06-26
|
[
[
"Hatsuda",
"Machiko",
""
],
[
"Iso",
"Satoshi",
""
],
[
"Umetsu",
"Hiroshi",
""
]
] |
By using graded (super) Lie algebras, we can construct noncommutative superspace on curved homogeneous manifolds. In this paper, we take a flat limit to obtain flat noncommutative superspace. We particularly consider $d=2$ and $d=4$ superspaces based on the graded Lie algebras $osp(1|2)$, $su(2|1)$ and $psu(2|2)$. Jacobi identities of supersymmetry algebras and associativities of star products are automatically satisfied. Covariant derivatives which commute with supersymmetry generators are obtained and chiral constraints can be imposed. We also discuss that these noncommutative superspaces can be understood as constrained systems analogous to the lowest Landau level system.
| 6.934051
| 6.216798
| 6.519154
| 6.083258
| 5.623906
| 6.142718
| 5.986821
| 6.271266
| 5.833466
| 7.067203
| 5.925294
| 6.077274
| 6.268279
| 6.029897
| 6.012053
| 5.921535
| 6.168256
| 5.822274
| 6.030343
| 6.39974
| 5.916823
|
1107.3232
|
Igor Bandos A.
|
Igor A. Bandos and Carlos Meliveo
|
Three form potential in (special) minimal supergravity superspace and
supermembrane supercurrent
|
18 pages, no figures. V2: Important references added. The abstract
and presentation have been changed to reflect the overloop with that.
Submitted to the QTS7 Proceedings. J. Phys. style used
| null |
10.1088/1742-6596/343/1/012012
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This contribution begins the study of the complete superfield Lagrangian
description of the interacting system of D=4 N=1 supergravity (SUGRA) and
supermembrane. Firstly, we review a 'three form supergravity' by Ovrut and
Waldram, which we prefer to call 'special minimal supergravity'. This off-shell
formulation of simple SUGRA is appropriate for our purposes as the
supermembrane action contains the so-called Wess-Zumino term given by the
integral over a three form potential in superspace, C3. We describe this
formulation in the frame of Wess--Zumino superfield approach, showing how the
basic variations of minimal SUGRA are restricted by the conditions of the
existence of a three-form potential C3 in its superspace. In this language the
effect of dynamical generation of cosmological constant, known to be
characteristic for this formulation of SUGRA, appears in its superfield form,
first described by Ogievetsky and Sokatchev in their formulation of SUGRA as a
theory of axial vector superfield. Secondly, we vary the supermembrane action
with respect to the special minimal SUGRA superfields (basic variations) and
obtain the supercurrent superfields as well as the supergravity superfield
equations with the supermembrane contributions.
|
[
{
"created": "Sat, 16 Jul 2011 13:00:50 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Nov 2011 15:23:01 GMT",
"version": "v2"
}
] |
2015-05-28
|
[
[
"Bandos",
"Igor A.",
""
],
[
"Meliveo",
"Carlos",
""
]
] |
This contribution begins the study of the complete superfield Lagrangian description of the interacting system of D=4 N=1 supergravity (SUGRA) and supermembrane. Firstly, we review a 'three form supergravity' by Ovrut and Waldram, which we prefer to call 'special minimal supergravity'. This off-shell formulation of simple SUGRA is appropriate for our purposes as the supermembrane action contains the so-called Wess-Zumino term given by the integral over a three form potential in superspace, C3. We describe this formulation in the frame of Wess--Zumino superfield approach, showing how the basic variations of minimal SUGRA are restricted by the conditions of the existence of a three-form potential C3 in its superspace. In this language the effect of dynamical generation of cosmological constant, known to be characteristic for this formulation of SUGRA, appears in its superfield form, first described by Ogievetsky and Sokatchev in their formulation of SUGRA as a theory of axial vector superfield. Secondly, we vary the supermembrane action with respect to the special minimal SUGRA superfields (basic variations) and obtain the supercurrent superfields as well as the supergravity superfield equations with the supermembrane contributions.
| 9.487537
| 9.294724
| 10.861609
| 9.052919
| 9.352421
| 8.657889
| 9.437475
| 8.59867
| 8.588033
| 10.987256
| 8.322681
| 9.091904
| 9.625327
| 9.218848
| 9.026849
| 9.05431
| 9.114006
| 9.047777
| 9.070726
| 9.53519
| 8.739216
|
1904.11728
|
Takao Suyama
|
Takao Suyama
|
Linear Chern-Simons-matter Theories in the Planar Limit
|
24 pages, 3 figures
| null |
10.1007/JHEP08(2019)083
|
KEK-TH-2126
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study ${\cal N}=3$ linear Chern-Simons-matter theories in the planar
limit. The matter content of the theory is depicted by a linear-shape diagram
with $n$ nodes and $n-1$ links for any $n$. The free energy and the vevs of BPS
Wilson loops are given in terms of a single 1-form on $\mathbb{CP}^1$ which can
be determined explicitly for all linear theories. The analytic structure of the
vevs of the Wilson loops is investigated in detail for $n=1$ and $n=2$. The
addition of fundamental matters is also discussed.
|
[
{
"created": "Fri, 26 Apr 2019 09:13:06 GMT",
"version": "v1"
}
] |
2019-09-04
|
[
[
"Suyama",
"Takao",
""
]
] |
We study ${\cal N}=3$ linear Chern-Simons-matter theories in the planar limit. The matter content of the theory is depicted by a linear-shape diagram with $n$ nodes and $n-1$ links for any $n$. The free energy and the vevs of BPS Wilson loops are given in terms of a single 1-form on $\mathbb{CP}^1$ which can be determined explicitly for all linear theories. The analytic structure of the vevs of the Wilson loops is investigated in detail for $n=1$ and $n=2$. The addition of fundamental matters is also discussed.
| 8.072418
| 6.708032
| 8.053741
| 6.556448
| 6.691071
| 7.050494
| 7.252397
| 6.590102
| 6.678545
| 8.657585
| 6.75356
| 7.046871
| 7.110965
| 6.804883
| 6.917606
| 6.685731
| 6.833869
| 6.830956
| 6.852922
| 7.213354
| 7.041457
|
hep-th/0209123
|
Petko Al. Nikolov
|
Petko A. Nikolov, Gergana R. Ruseva
|
Dimensional Reduction of Dirac Operator
|
11 pages, LATEX,
|
J.Math.Phys. 47 (2006) 073503
|
10.1063/1.2217811
| null |
hep-th
| null |
We construct an explicit example of dimensional reduction of the free
massless Dirac operator with an internal SU(3) symmetry, defined on a
twelve-dimensional manifold that is the total space of a principal SU(3)-bundle
over a four-dimensional (nonflat) pseudo-Riemannian manifold. Upon dimensional
reduction the free twelve-dimensional Dirac equation is transformed into a
rather nontrivial four-dimensional one: a pair of massive Lorentz spinor
SU(3)-octets interacting with an SU(3)-gauge field with a source term depending
on the curvature tensor of the gauge field. The SU(3) group is complicated
enough to illustrate features of the general case. It should not be confused
with the color SU}(3) of quantum chromodynamics where the fundamental spinors,
the quark fields, are SU(3) triplets rather than octets.
|
[
{
"created": "Sat, 14 Sep 2002 15:21:34 GMT",
"version": "v1"
},
{
"created": "Sun, 17 Feb 2008 10:40:41 GMT",
"version": "v2"
}
] |
2015-06-26
|
[
[
"Nikolov",
"Petko A.",
""
],
[
"Ruseva",
"Gergana R.",
""
]
] |
We construct an explicit example of dimensional reduction of the free massless Dirac operator with an internal SU(3) symmetry, defined on a twelve-dimensional manifold that is the total space of a principal SU(3)-bundle over a four-dimensional (nonflat) pseudo-Riemannian manifold. Upon dimensional reduction the free twelve-dimensional Dirac equation is transformed into a rather nontrivial four-dimensional one: a pair of massive Lorentz spinor SU(3)-octets interacting with an SU(3)-gauge field with a source term depending on the curvature tensor of the gauge field. The SU(3) group is complicated enough to illustrate features of the general case. It should not be confused with the color SU}(3) of quantum chromodynamics where the fundamental spinors, the quark fields, are SU(3) triplets rather than octets.
| 9.055367
| 9.85164
| 9.112001
| 8.717066
| 9.535383
| 10.259158
| 9.678357
| 9.289402
| 9.063893
| 9.703984
| 9.17036
| 9.505203
| 8.994055
| 8.844213
| 9.200863
| 8.885874
| 8.929469
| 9.216018
| 8.746858
| 9.10954
| 9.163914
|
hep-th/9902073
|
Daniel Kabat
|
Daniel Kabat (IAS), Gilad Lifschytz (Princeton University)
|
Gauge theory origins of supergravity causal structure
|
20 pages, LaTeX. v2: added references, expanded discussion of
Gaussian approximation, added comments on M(atrix) causality
|
JHEP 9905:005,1999
|
10.1088/1126-6708/1999/05/005
|
IASSNS-HEP-99/18, PUPT-1817
|
hep-th
| null |
We discuss the gauge theory mechanisms which are responsible for the causal
structure of the dual supergravity. For D-brane probes we show that the light
cone structure and Killing horizons of supergravity emerge dynamically. They
are associated with the appearance of new light degrees of freedom in the gauge
theory, which we explicitly identify. This provides a picture of physics at the
horizon of a black hole as seen by a D-brane probe.
|
[
{
"created": "Wed, 10 Feb 1999 18:27:32 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Mar 1999 03:07:56 GMT",
"version": "v2"
}
] |
2010-02-03
|
[
[
"Kabat",
"Daniel",
"",
"IAS"
],
[
"Lifschytz",
"Gilad",
"",
"Princeton University"
]
] |
We discuss the gauge theory mechanisms which are responsible for the causal structure of the dual supergravity. For D-brane probes we show that the light cone structure and Killing horizons of supergravity emerge dynamically. They are associated with the appearance of new light degrees of freedom in the gauge theory, which we explicitly identify. This provides a picture of physics at the horizon of a black hole as seen by a D-brane probe.
| 10.108851
| 9.86036
| 10.279152
| 9.202712
| 9.737545
| 9.159696
| 9.463568
| 9.804575
| 8.833333
| 10.864415
| 9.598956
| 8.994865
| 9.583708
| 8.683191
| 9.238045
| 9.410692
| 9.125744
| 9.381116
| 9.247999
| 9.434414
| 8.924998
|
1904.00060
|
Andrei Parnachev
|
Robin Karlsson, Manuela Kulaxizi, Andrei Parnachev and Petar Tadi\'c
|
Black Holes and Conformal Regge Bootstrap
|
39 pages, harvmac; v2: minor corrections, a reference added. v3:
discussion of the flat space limit added, typos fixed
|
JHEP10(2019)046
|
10.1007/JHEP10(2019)046
|
TCDMATH 19-02
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Highly energetic particles traveling in the background of an asymptotically
AdS black hole experience a Shapiro time delay and an angle deflection. These
quantities are related to the Regge limit of a heavy-heavy-light-light
four-point function of scalar operators in the dual CFT. The Schwarzschild
radius of the black hole in AdS units is proportional to the ratio of the
conformal dimension of the heavy operator and the central charge. This ratio
serves as a useful expansion parameter; its power counts the number of stress
tensors in the multi-stress tensor operators which contribute to the four-point
function. In the cross-channel the four-point function is determined by the OPE
coefficients and anomalous dimensions of the heavy-light double-trace
operators. We explain how this data can be obtained and explicitly compute the
first and second order terms in the expansion of the anomalous dimensions. We
observe perfect agreement with known results in the lightcone limit, which were
obtained by computing perturbative corrections to the energy eigenstates in AdS
spacetimes.
|
[
{
"created": "Fri, 29 Mar 2019 19:22:27 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Jun 2019 15:07:45 GMT",
"version": "v2"
},
{
"created": "Thu, 15 Aug 2019 20:20:04 GMT",
"version": "v3"
}
] |
2019-10-28
|
[
[
"Karlsson",
"Robin",
""
],
[
"Kulaxizi",
"Manuela",
""
],
[
"Parnachev",
"Andrei",
""
],
[
"Tadić",
"Petar",
""
]
] |
Highly energetic particles traveling in the background of an asymptotically AdS black hole experience a Shapiro time delay and an angle deflection. These quantities are related to the Regge limit of a heavy-heavy-light-light four-point function of scalar operators in the dual CFT. The Schwarzschild radius of the black hole in AdS units is proportional to the ratio of the conformal dimension of the heavy operator and the central charge. This ratio serves as a useful expansion parameter; its power counts the number of stress tensors in the multi-stress tensor operators which contribute to the four-point function. In the cross-channel the four-point function is determined by the OPE coefficients and anomalous dimensions of the heavy-light double-trace operators. We explain how this data can be obtained and explicitly compute the first and second order terms in the expansion of the anomalous dimensions. We observe perfect agreement with known results in the lightcone limit, which were obtained by computing perturbative corrections to the energy eigenstates in AdS spacetimes.
| 7.665761
| 7.28614
| 9.072446
| 6.677877
| 6.791503
| 7.069262
| 6.47508
| 6.870965
| 7.159543
| 10.437742
| 6.741739
| 6.838666
| 7.613832
| 7.128296
| 7.344066
| 7.206409
| 7.236257
| 7.236984
| 7.274416
| 7.7128
| 7.155558
|
2111.11958
|
Giovani Peruzzo
|
David Dudal, Duifje Maria van Egmond, Igor Figueiredo Justo, Giovani
Peruzzo, Silvio Paolo Sorella
|
Gauge Invariant Description of the $SU(2)$ Higgs model: Ward identities
and Renormalization
| null | null |
10.1103/PhysRevD.105.065018
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The renormalization properties of two local gauge invariant composite
operators $(O,R^a_{\mu})$ corresponding, respectively, to the gauge invariant
description of the Higgs particle and of the massive gauge vector boson, are
analyzed to all orders in perturbation theory by means of the algebraic
renormalization in the $SU(2)$ Higgs model, with a single scalar in the
fundamental representation, when quantized in the Landau gauge in Euclidean
space-time. The present analysis generalizes earlier results presented in the
case of the $U(1)$ Higgs model. A powerful global Ward identity, related to an
exact custodial symmetry, is derived for the first time, with deep consequences
at the quantum level. In particular, the gauge invariant vector operators
$R^a_{\mu}$ turn out to be the conserved Noether currents of the
above-mentioned custodial symmetry. As such, these composite operators do not
renormalize, as expressed by the fact that the renormalization $Z$-factors of
the corresponding external sources, needed to define the operators $R^a_{\mu}$
at the quantum level, do not receive any quantum corrections. Another
consistency feature of our analysis is that the longitudinal component of the
two-point correlation function $\langle R^a_\mu(p) R^b_\nu(-p) \rangle$
exhibits only a tree level non-vanishing contribution which, moreover, is
momentum independent, being thus not associated to any physical propagating
mode. Finally, we point out that the renowned non-renormalization theorem for
the ghost-antighost-vector boson vertex in Landau gauge remains true to all
orders, also in presence of the Higgs field.
|
[
{
"created": "Tue, 23 Nov 2021 15:52:57 GMT",
"version": "v1"
}
] |
2022-04-13
|
[
[
"Dudal",
"David",
""
],
[
"van Egmond",
"Duifje Maria",
""
],
[
"Justo",
"Igor Figueiredo",
""
],
[
"Peruzzo",
"Giovani",
""
],
[
"Sorella",
"Silvio Paolo",
""
]
] |
The renormalization properties of two local gauge invariant composite operators $(O,R^a_{\mu})$ corresponding, respectively, to the gauge invariant description of the Higgs particle and of the massive gauge vector boson, are analyzed to all orders in perturbation theory by means of the algebraic renormalization in the $SU(2)$ Higgs model, with a single scalar in the fundamental representation, when quantized in the Landau gauge in Euclidean space-time. The present analysis generalizes earlier results presented in the case of the $U(1)$ Higgs model. A powerful global Ward identity, related to an exact custodial symmetry, is derived for the first time, with deep consequences at the quantum level. In particular, the gauge invariant vector operators $R^a_{\mu}$ turn out to be the conserved Noether currents of the above-mentioned custodial symmetry. As such, these composite operators do not renormalize, as expressed by the fact that the renormalization $Z$-factors of the corresponding external sources, needed to define the operators $R^a_{\mu}$ at the quantum level, do not receive any quantum corrections. Another consistency feature of our analysis is that the longitudinal component of the two-point correlation function $\langle R^a_\mu(p) R^b_\nu(-p) \rangle$ exhibits only a tree level non-vanishing contribution which, moreover, is momentum independent, being thus not associated to any physical propagating mode. Finally, we point out that the renowned non-renormalization theorem for the ghost-antighost-vector boson vertex in Landau gauge remains true to all orders, also in presence of the Higgs field.
| 6.339915
| 5.978163
| 6.625738
| 6.434904
| 6.525432
| 6.206616
| 6.520822
| 6.19729
| 6.212474
| 7.448016
| 6.211602
| 6.042895
| 6.510038
| 6.270092
| 6.381122
| 6.121456
| 6.168157
| 6.074579
| 6.264257
| 6.483686
| 6.229998
|
2212.02316
|
Anna Pachol
|
Jerzy Lukierski, Stjepan Meljanac, Salvatore Mignemi, Anna Pacho{\l}
|
Quantum perturbative solutions of extended Snyder and Yang models with
spontaneous symmetry breaking
|
11 pages; published version
| null |
10.1016/j.physletb.2023.138261
| null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose $\hbar$-expansions as perturbative solutions of quantum extended
Snyder and Yang models, with $\hbar$-independent classical zero-th order terms
responsible for the spontaneous breaking of $D=4$ and $D=5$ de Sitter
symmetries. In such models, with algebraic basis spanned by $\hat o(D,1)$ Lie
algebra generators, we relate the vacuum expectation values (VEV) of the
spontaneously broken generators with the Abelian set of ten (Snyder, $D=4$) or
fifteen (Yang, $D=5$) antisymmetric tensorial generalized coordinates, which
are also used as zero order input for obtaining the perturbative solutions of
quantum extended Snyder and Yang models. In such a way we will attribute to
these Abelian generalized coordinates the physical meaning of the order
parameters describing spontaneous symmetry breaking (SSB). It appears that the
consecutive terms in $\hbar$-power series can be calculated explicitly if we
supplement the SSB order parameters by the dual set of tensorial commutative
momenta.
|
[
{
"created": "Mon, 5 Dec 2022 14:42:11 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Sep 2023 16:15:48 GMT",
"version": "v2"
},
{
"created": "Wed, 25 Oct 2023 09:11:10 GMT",
"version": "v3"
}
] |
2023-10-26
|
[
[
"Lukierski",
"Jerzy",
""
],
[
"Meljanac",
"Stjepan",
""
],
[
"Mignemi",
"Salvatore",
""
],
[
"Pachoł",
"Anna",
""
]
] |
We propose $\hbar$-expansions as perturbative solutions of quantum extended Snyder and Yang models, with $\hbar$-independent classical zero-th order terms responsible for the spontaneous breaking of $D=4$ and $D=5$ de Sitter symmetries. In such models, with algebraic basis spanned by $\hat o(D,1)$ Lie algebra generators, we relate the vacuum expectation values (VEV) of the spontaneously broken generators with the Abelian set of ten (Snyder, $D=4$) or fifteen (Yang, $D=5$) antisymmetric tensorial generalized coordinates, which are also used as zero order input for obtaining the perturbative solutions of quantum extended Snyder and Yang models. In such a way we will attribute to these Abelian generalized coordinates the physical meaning of the order parameters describing spontaneous symmetry breaking (SSB). It appears that the consecutive terms in $\hbar$-power series can be calculated explicitly if we supplement the SSB order parameters by the dual set of tensorial commutative momenta.
| 12.040989
| 12.109057
| 12.696773
| 11.531013
| 12.861485
| 11.942267
| 12.081118
| 11.645089
| 11.861743
| 13.363978
| 11.663311
| 11.806406
| 12.475632
| 11.587289
| 12.097763
| 11.753479
| 12.44825
| 11.617914
| 11.931745
| 12.179982
| 11.40367
|
hep-th/0311157
|
Peter Horvathy
|
P. A. Horvathy and P. C. Stichel
|
Moving vortices in noncommutative gauge theory
|
Latex, 6 pages, no figures. A result similar to ours was obtained,
independently, by Hadasz et al. in the revised version of their paper
|
Phys.Lett. B583 (2004) 353-356
|
10.1016/j.physletb.2003.12.063
| null |
hep-th
| null |
Exact time-dependent solutions of nonrelativistic noncommutative Chern -
Simons gauge theory are presented in closed analytic form. They are different
from (indeed orthogonal to) those discussed recently by Hadasz, Lindstrom,
Rocek and von Unge. Unlike theirs, our solutions can move with an arbitrary
constant velocity, and can be obtained from the previously known static
solutions by the recently found ``exotic'' boost symmetry.
|
[
{
"created": "Tue, 18 Nov 2003 07:46:29 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Nov 2003 07:05:25 GMT",
"version": "v2"
}
] |
2010-04-05
|
[
[
"Horvathy",
"P. A.",
""
],
[
"Stichel",
"P. C.",
""
]
] |
Exact time-dependent solutions of nonrelativistic noncommutative Chern - Simons gauge theory are presented in closed analytic form. They are different from (indeed orthogonal to) those discussed recently by Hadasz, Lindstrom, Rocek and von Unge. Unlike theirs, our solutions can move with an arbitrary constant velocity, and can be obtained from the previously known static solutions by the recently found ``exotic'' boost symmetry.
| 11.730503
| 12.295731
| 13.469237
| 10.740235
| 11.271358
| 9.947248
| 10.445239
| 10.070875
| 10.313556
| 15.346946
| 11.115878
| 10.035657
| 12.685703
| 10.117634
| 10.017172
| 10.685762
| 10.567418
| 10.283618
| 10.39806
| 10.613298
| 9.660297
|
hep-th/9407138
| null |
Martin Markl and Steve Shnider
|
Drinfel'd algebra deformations, homotopy comodules and the associahedra
|
44 pages
| null | null | null |
hep-th math.QA
| null |
The aim of this work is to construct a cohomology theory controlling the
deformations of a general Drinfel'd algebra. The task is accomplished in three
steps. The first step is the construction of a modified cobar complex adapted
to a non-coassociative comultiplication. The following two steps each involve a
new, highly non-trivial, construction. The first construction, essentially
combinatorial, defines a differential graded Lie algebra structure on the
simplicial chain complex of the associahedra. The second construction, of a
more algebraic nature, is the definition of map of differential graded Lie
algebras from the complex defined above to the algebra of derivations on the
bar resolution. Using the existence of this map and the acyclicity of the
associahedra we can define a so-called homotopy comodule structure on the bar
resolution of a general Drinfeld algebra. This in turn allows us to define the
desired cohomology theory in terms of a complex which consists, roughly
speaking, of the bimodule and bicomodule maps from the bar resolution to the
modified cobar resolution. The complex is bigraded but not a bicomplex as in
the Gerstenhaber-Schack theory for bialgebra deformations. The new components
of the coboundary operator are defined via the constructions mentioned above.
As an application we show that the Drinfel'd deformation of the universal
enveloping algebra of a simple Lie algebra is not a jump deformation. The
results of the paper were announced in the paper "Drinfel'd algebra
deformations and the associahedra" (IMRN, Duke Math. Journal, 4(1994), 169-176,
appeared also as preprint hep-th/9312196).
|
[
{
"created": "Thu, 21 Jul 1994 14:36:42 GMT",
"version": "v1"
}
] |
2008-02-03
|
[
[
"Markl",
"Martin",
""
],
[
"Shnider",
"Steve",
""
]
] |
The aim of this work is to construct a cohomology theory controlling the deformations of a general Drinfel'd algebra. The task is accomplished in three steps. The first step is the construction of a modified cobar complex adapted to a non-coassociative comultiplication. The following two steps each involve a new, highly non-trivial, construction. The first construction, essentially combinatorial, defines a differential graded Lie algebra structure on the simplicial chain complex of the associahedra. The second construction, of a more algebraic nature, is the definition of map of differential graded Lie algebras from the complex defined above to the algebra of derivations on the bar resolution. Using the existence of this map and the acyclicity of the associahedra we can define a so-called homotopy comodule structure on the bar resolution of a general Drinfeld algebra. This in turn allows us to define the desired cohomology theory in terms of a complex which consists, roughly speaking, of the bimodule and bicomodule maps from the bar resolution to the modified cobar resolution. The complex is bigraded but not a bicomplex as in the Gerstenhaber-Schack theory for bialgebra deformations. The new components of the coboundary operator are defined via the constructions mentioned above. As an application we show that the Drinfel'd deformation of the universal enveloping algebra of a simple Lie algebra is not a jump deformation. The results of the paper were announced in the paper "Drinfel'd algebra deformations and the associahedra" (IMRN, Duke Math. Journal, 4(1994), 169-176, appeared also as preprint hep-th/9312196).
| 6.479063
| 7.360957
| 7.764175
| 6.962812
| 8.045477
| 7.708013
| 7.767923
| 7.259453
| 7.412006
| 7.91614
| 7.030535
| 6.587623
| 6.671277
| 6.628683
| 6.815938
| 6.662055
| 6.728867
| 6.774755
| 6.684601
| 6.777162
| 6.586783
|
hep-th/0601026
|
Hiroshi Suzuki
|
Masashi Hayakawa and Hiroshi Suzuki
|
Gauge Anomaly associated with the Majorana Fermion in $8k+1$ dimensions
|
10 pages, uses PTPTeX.cls, the final version to appear in Prog.
Theor. Phys
|
Prog.Theor.Phys. 115 (2006) 1129-1136
|
10.1143/PTP.115.1129
|
RIKEN-TH-62
|
hep-th hep-lat
| null |
Using an elementary method, we show that an odd number of Majorana fermions
in $8k+1$ dimensions suffer from a gauge anomaly that is analogous to the
Witten global gauge anomaly. This anomaly cannot be removed without sacrificing
the perturbative gauge invariance. Our construction of higher-dimensional
examples ($k geq1$) makes use of the SO(8) instanton on $S^8$.
|
[
{
"created": "Thu, 5 Jan 2006 07:17:19 GMT",
"version": "v1"
},
{
"created": "Fri, 26 May 2006 08:31:58 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Hayakawa",
"Masashi",
""
],
[
"Suzuki",
"Hiroshi",
""
]
] |
Using an elementary method, we show that an odd number of Majorana fermions in $8k+1$ dimensions suffer from a gauge anomaly that is analogous to the Witten global gauge anomaly. This anomaly cannot be removed without sacrificing the perturbative gauge invariance. Our construction of higher-dimensional examples ($k geq1$) makes use of the SO(8) instanton on $S^8$.
| 14.041716
| 12.624578
| 12.346828
| 11.241796
| 13.224861
| 12.795826
| 12.147215
| 12.008037
| 12.284216
| 12.744843
| 12.147574
| 12.088134
| 11.883964
| 11.752319
| 11.693725
| 12.38173
| 12.246758
| 11.850948
| 11.446219
| 12.421491
| 11.704486
|
1004.3500
|
Anastasios Taliotis
|
Anastasios Taliotis
|
Heavy Ion Collisions with Transverse Dynamics from Evolving AdS
Geometries
|
60 pages, 7 figures
|
JHEP 1009:102,2010
|
10.1007/JHEP09(2010)102
| null |
hep-th gr-qc hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Currently there exists no known way to construct the Stress-Energy Tensor
$(T_{\mu \nu})$ of the produced medium in heavy ion collisions at strong
coupling from purely theoretical grounds. In this paper, some steps are taken
in that direction. In particular, the evolution of $T_{\mu \nu}$ at strong
coupling and at high energies is being studied for early proper times $(\tau)$.
This is achieved in the context of the AdS/CFT duality by constructing the
evolution of the dual geometry in an AdS$_5$ background. Improving the earlier
works in the literature, the two incident nuclei have an impact parameter $b$
and a non-trivial transverse profile. The nuclear matter is modeled by two
shock waves corresponding to a non-zero five dimensional bulk Stress-Energy
Tensor $J_{MN}$. An analytic formula for $T_{\mu \nu}$ at small $\tau$ is
derived and is used in order to calculate the momentum anisotropy and spatial
eccentricity of the medium produced in the collision as a function of the ratio
$\frac{\tau}{b}$. The result for eccentricity at intermediate $\frac{\tau}{b}$
agrees qualitatively with the results obtained in the context of perturbation
theory and by using hydrodynamic simulations. Finally, the problem of the
negative energy density and its natural connection to the eikonal approximation
is discussed.
|
[
{
"created": "Tue, 20 Apr 2010 16:45:41 GMT",
"version": "v1"
},
{
"created": "Sun, 11 Jul 2010 19:28:11 GMT",
"version": "v2"
},
{
"created": "Wed, 1 Dec 2010 00:29:33 GMT",
"version": "v3"
}
] |
2010-12-02
|
[
[
"Taliotis",
"Anastasios",
""
]
] |
Currently there exists no known way to construct the Stress-Energy Tensor $(T_{\mu \nu})$ of the produced medium in heavy ion collisions at strong coupling from purely theoretical grounds. In this paper, some steps are taken in that direction. In particular, the evolution of $T_{\mu \nu}$ at strong coupling and at high energies is being studied for early proper times $(\tau)$. This is achieved in the context of the AdS/CFT duality by constructing the evolution of the dual geometry in an AdS$_5$ background. Improving the earlier works in the literature, the two incident nuclei have an impact parameter $b$ and a non-trivial transverse profile. The nuclear matter is modeled by two shock waves corresponding to a non-zero five dimensional bulk Stress-Energy Tensor $J_{MN}$. An analytic formula for $T_{\mu \nu}$ at small $\tau$ is derived and is used in order to calculate the momentum anisotropy and spatial eccentricity of the medium produced in the collision as a function of the ratio $\frac{\tau}{b}$. The result for eccentricity at intermediate $\frac{\tau}{b}$ agrees qualitatively with the results obtained in the context of perturbation theory and by using hydrodynamic simulations. Finally, the problem of the negative energy density and its natural connection to the eikonal approximation is discussed.
| 8.129539
| 8.474821
| 8.44911
| 7.730927
| 7.990932
| 7.917112
| 8.44727
| 8.374185
| 7.931183
| 8.467423
| 7.879162
| 7.883462
| 7.878086
| 7.765394
| 7.761027
| 7.866423
| 7.720796
| 7.7454
| 7.72934
| 8.096073
| 7.847666
|
1207.7130
|
Everton Murilo Carvalho Abreu
|
Everton M. C. Abreu and N\'elio Sasaki
|
Noncommutative wormholes and the energy conditions
|
7 pages. Preprint format
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is a very well known fact that the energy conditions concerning Lorentzian
wormhole (WH) solutions of Einstein equations are violated. Consequently,
attempts to avoid the violation of the energy conditions constitutes one of the
main areas of research in WH physics. On the other hand, the current literature
show us that noncommutativity is one of the candidates to understand the
physics of the early Universe. In this letter we show that the null and weak
energy conditions violations do not happen when the WH background geometry is a
noncommutative one. We also construct the shape function and an equation of
state for this noncommutative WH.
|
[
{
"created": "Mon, 30 Jul 2012 23:12:53 GMT",
"version": "v1"
}
] |
2012-08-01
|
[
[
"Abreu",
"Everton M. C.",
""
],
[
"Sasaki",
"Nélio",
""
]
] |
It is a very well known fact that the energy conditions concerning Lorentzian wormhole (WH) solutions of Einstein equations are violated. Consequently, attempts to avoid the violation of the energy conditions constitutes one of the main areas of research in WH physics. On the other hand, the current literature show us that noncommutativity is one of the candidates to understand the physics of the early Universe. In this letter we show that the null and weak energy conditions violations do not happen when the WH background geometry is a noncommutative one. We also construct the shape function and an equation of state for this noncommutative WH.
| 8.497595
| 9.126512
| 7.685082
| 7.751888
| 8.466817
| 8.293464
| 9.164707
| 6.823796
| 8.577071
| 6.727342
| 8.500663
| 8.093758
| 7.804335
| 7.842029
| 7.969891
| 7.776807
| 8.197198
| 7.571392
| 8.196385
| 7.704733
| 8.185698
|
hep-th/9508158
|
Lev F. M.
|
Felix M. Lev
|
The Problem of Constructing the Current Operators in Quantum Field
Theory
|
7 pages, LaTeX
| null | null | null |
hep-th
| null |
Lorentz invariance of the current operators implies that they satisfy the
well-known commutation relations with the representation operators of the
Lorentz group. It is shown that if the standard construction of the current
operators in quantum field theory is used then the commutation relations are
broken by the Schwinger terms.
|
[
{
"created": "Tue, 29 Aug 1995 09:17:44 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Lev",
"Felix M.",
""
]
] |
Lorentz invariance of the current operators implies that they satisfy the well-known commutation relations with the representation operators of the Lorentz group. It is shown that if the standard construction of the current operators in quantum field theory is used then the commutation relations are broken by the Schwinger terms.
| 8.350012
| 6.721331
| 7.129959
| 6.607615
| 7.069163
| 6.964509
| 7.34301
| 7.519918
| 6.373426
| 7.261611
| 6.796695
| 6.749447
| 6.884079
| 6.490254
| 6.625181
| 6.550773
| 6.552098
| 6.881335
| 6.35434
| 6.515699
| 6.698802
|
1208.4036
|
Xi Yin
|
Simone Giombi, Xi Yin
|
The Higher Spin/Vector Model Duality
|
55 pages, 1 figure. Contribution to J. Phys. A special volume on
"Higher Spin Theories and AdS/CFT" edited by M. R. Gaberdiel and M. Vasiliev.
v2: references added
| null |
10.1088/1751-8113/46/21/214003
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper is mainly a review of the dualities between Vasiliev's higher spin
gauge theories in AdS4 and three dimensional large N vector models, with focus
on the holographic calculation of correlation functions of higher spin
currents. We also present some new results in the computation of parity odd
structures in the three point functions in parity violating Vasiliev theories.
|
[
{
"created": "Mon, 20 Aug 2012 15:12:26 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Aug 2012 15:43:09 GMT",
"version": "v2"
}
] |
2015-06-11
|
[
[
"Giombi",
"Simone",
""
],
[
"Yin",
"Xi",
""
]
] |
This paper is mainly a review of the dualities between Vasiliev's higher spin gauge theories in AdS4 and three dimensional large N vector models, with focus on the holographic calculation of correlation functions of higher spin currents. We also present some new results in the computation of parity odd structures in the three point functions in parity violating Vasiliev theories.
| 10.699512
| 7.36257
| 10.709418
| 7.535369
| 7.445232
| 7.30208
| 7.610518
| 7.784719
| 7.788515
| 11.702826
| 8.227192
| 8.066378
| 9.270318
| 8.216479
| 8.540976
| 7.690622
| 8.607141
| 8.074876
| 8.057564
| 9.539774
| 8.13925
|
hep-th/0009230
|
Stefan Schraml
|
John Madore, Stefan Schraml, Peter Schupp, Julius Wess
|
External Fields as Intrinsic Geometry
|
19 pages, Latex
|
Eur.Phys.J.C18:785-794,2001
|
10.1007/s100520100566
| null |
hep-th
| null |
There is an interesting dichotomy between a space-time metric considered as
external field in a flat background and the same considered as an intrinsic
part of the geometry of space-time. We shall describe and compare two other
external fields which can be absorbed into an appropriate redefinition of the
geometry, this time a noncommutative one. We shall also recall some previous
incidences of the same phenomena involving bosonic field theories. It is known
that some such theories on the commutative geometry of space-time can be
re-expressed as abelian-gauge theory in an appropriate noncommutative geometry.
The noncommutative structure can be considered as containing extra modes all of
whose dynamics are given by the one abelian action.
|
[
{
"created": "Thu, 28 Sep 2000 12:42:19 GMT",
"version": "v1"
}
] |
2009-01-07
|
[
[
"Madore",
"John",
""
],
[
"Schraml",
"Stefan",
""
],
[
"Schupp",
"Peter",
""
],
[
"Wess",
"Julius",
""
]
] |
There is an interesting dichotomy between a space-time metric considered as external field in a flat background and the same considered as an intrinsic part of the geometry of space-time. We shall describe and compare two other external fields which can be absorbed into an appropriate redefinition of the geometry, this time a noncommutative one. We shall also recall some previous incidences of the same phenomena involving bosonic field theories. It is known that some such theories on the commutative geometry of space-time can be re-expressed as abelian-gauge theory in an appropriate noncommutative geometry. The noncommutative structure can be considered as containing extra modes all of whose dynamics are given by the one abelian action.
| 15.298843
| 16.679127
| 14.738018
| 14.770556
| 16.466629
| 16.161116
| 16.458704
| 16.149668
| 15.904556
| 15.390073
| 15.801057
| 15.15976
| 14.996046
| 14.590454
| 14.874479
| 15.466023
| 15.538613
| 14.995557
| 14.94202
| 15.516198
| 15.172641
|
1003.1668
|
Leonard Fister
|
Leonard Fister, Reinhard Alkofer, Kai Schwenzer
|
On the Infrared Behavior of Landau Gauge Yang-Mills Theory with a
Fundamentally Charged Scalar Field
|
8 pages, PDFLaTex
|
Phys. Lett. B688:237-243, 2010
|
10.1016/j.physletb.2010.04.001
| null |
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently it has been shown that infrared singularities of Landau gauge QCD
can confine static quarks via a linearly rising potential. We show that the
same mechanism can also provide a confining interaction between charged scalar
fields in the fundamental representation. This confirms that within this
scenario static confinement is a universal property of the gauge sector even
though it is formally represented in the functional equations of the matter
sector. The simplifications compared to the fermionic case make the scalar
system an ideal laboratory for a detailed analysis of the confinement mechanism
in numerical studies of the functional equations as well as in gauge-fixed
lattice simulations.
|
[
{
"created": "Mon, 8 Mar 2010 16:42:55 GMT",
"version": "v1"
}
] |
2010-05-07
|
[
[
"Fister",
"Leonard",
""
],
[
"Alkofer",
"Reinhard",
""
],
[
"Schwenzer",
"Kai",
""
]
] |
Recently it has been shown that infrared singularities of Landau gauge QCD can confine static quarks via a linearly rising potential. We show that the same mechanism can also provide a confining interaction between charged scalar fields in the fundamental representation. This confirms that within this scenario static confinement is a universal property of the gauge sector even though it is formally represented in the functional equations of the matter sector. The simplifications compared to the fermionic case make the scalar system an ideal laboratory for a detailed analysis of the confinement mechanism in numerical studies of the functional equations as well as in gauge-fixed lattice simulations.
| 12.444691
| 12.581533
| 10.286553
| 10.221627
| 10.799244
| 12.675321
| 11.751938
| 10.671563
| 10.922379
| 10.806215
| 11.135876
| 11.63796
| 10.500113
| 10.806739
| 10.852434
| 11.332152
| 10.944622
| 10.80441
| 10.861372
| 10.823502
| 10.80457
|
hep-th/9903077
|
Carmelo Perez Martin
|
C.P. Martin and D. Sanchez-Ruiz (Departamento de Fisica Teorica I,
Universidad Complutense de Madrid, Spain)
|
The One-loop UV Divergent Structure of U(1) Yang-Mills Theory on
Noncommutative R^4
|
8 pages. A missing complex "i" is included in the field strength and
the divergent contributions corrected accordingly. As a result the model
turns out to be asymptotically free
|
Phys.Rev.Lett. 83 (1999) 476-479
|
10.1103/PhysRevLett.83.476
|
FT/UCM-15-99
|
hep-th
| null |
We show that U(1) Yang-Mills theory on noncommutative R^4 can be renormalized
at the one-loop level by multiplicative dimensional renormalization of the
coupling constant and fields of the theory. We compute the beta function of the
theory and conclude that the theory is asymptotically free. We also show that
the Weyl-Moyal matrix defining the deformed product over the space of functions
on R^4 is not renormalized at the one-loop level.
|
[
{
"created": "Tue, 9 Mar 1999 17:57:02 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Mar 1999 16:11:17 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Martin",
"C. P.",
"",
"Departamento de Fisica Teorica I,\n Universidad Complutense de Madrid, Spain"
],
[
"Sanchez-Ruiz",
"D.",
"",
"Departamento de Fisica Teorica I,\n Universidad Complutense de Madrid, Spain"
]
] |
We show that U(1) Yang-Mills theory on noncommutative R^4 can be renormalized at the one-loop level by multiplicative dimensional renormalization of the coupling constant and fields of the theory. We compute the beta function of the theory and conclude that the theory is asymptotically free. We also show that the Weyl-Moyal matrix defining the deformed product over the space of functions on R^4 is not renormalized at the one-loop level.
| 5.463883
| 5.176861
| 5.48983
| 4.525991
| 5.082734
| 4.590356
| 4.519702
| 4.784405
| 4.505502
| 5.585355
| 4.545334
| 4.762784
| 5.509389
| 5.087471
| 4.925771
| 5.031029
| 4.936913
| 4.740542
| 5.140994
| 5.62864
| 5.12149
|
hep-th/9204003
|
Srinandan Dasmahapatra
|
Srinandan Dasmahapatra, Rinat Kedem and Barry McCoy
|
Physics beyond quasi-particles: Spectrum and completeness of the 3 state
superintegrable chiral Potts model
|
(39 pages)
|
Nucl.Phys. B396 (1993) 506-540
|
10.1016/0550-3213(93)90662-9
| null |
hep-th
| null |
We find the rules which count the energy levels of the 3 state
superintegrable chiral Potts model and demonstrate that these rules are
complete. We then derive the complete spectrum of excitations in the
thermodynamic limit in the massive phase and demonstrate the existence of
excitations which do not have a quasi-particle form. The physics of these
excitations is compared with the BCS superconductivity spectrum and the
counting rules are compared with the closely related $S=1$ XXZ spin chain.
|
[
{
"created": "Thu, 2 Apr 1992 19:33:45 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Dasmahapatra",
"Srinandan",
""
],
[
"Kedem",
"Rinat",
""
],
[
"McCoy",
"Barry",
""
]
] |
We find the rules which count the energy levels of the 3 state superintegrable chiral Potts model and demonstrate that these rules are complete. We then derive the complete spectrum of excitations in the thermodynamic limit in the massive phase and demonstrate the existence of excitations which do not have a quasi-particle form. The physics of these excitations is compared with the BCS superconductivity spectrum and the counting rules are compared with the closely related $S=1$ XXZ spin chain.
| 12.689157
| 10.278618
| 13.690718
| 10.617972
| 10.816567
| 11.009682
| 11.66444
| 11.293858
| 10.135566
| 13.73926
| 9.562325
| 10.311872
| 12.526218
| 11.378055
| 10.996406
| 10.348959
| 10.629473
| 10.784763
| 11.03475
| 12.932792
| 10.356771
|
hep-th/0207241
|
Zarembo
|
A.A. Tseytlin, K. Zarembo
|
Wilson loops in N=4 SYM theory: rotation in S5
|
22 pages, 2 figures
|
Phys.Rev.D66:125010,2002
|
10.1103/PhysRevD.66.125010
|
ITEP-TH-34/02
|
hep-th
| null |
We study Wilson loops in N=4 SYM theory which are non-constant in the scalar
(S5) directions and open string solutions associated with them in the context
of AdS/CFT correspondence. An interplay between Minkowskian and Euclidean
pictures turns out to be non-trivial for time-dependent Wilson loops. We find
that in the S5-rotating case there appears to be no direct open-string duals
for the Minkowskian Wilson loops, and their expectation values should be
obtained by analytic continuation from the Euclidean-space results. In the
Euclidean case, we determine the dependence of the ``quark - anti-quark''
potential on the rotation parameter, both at weak coupling (i.e. in the 1-loop
perturbative SYM theory) and at strong coupling (i.e. in the classical string
theory in AdS5 x S5).
|
[
{
"created": "Fri, 26 Jul 2002 14:34:21 GMT",
"version": "v1"
}
] |
2009-09-17
|
[
[
"Tseytlin",
"A. A.",
""
],
[
"Zarembo",
"K.",
""
]
] |
We study Wilson loops in N=4 SYM theory which are non-constant in the scalar (S5) directions and open string solutions associated with them in the context of AdS/CFT correspondence. An interplay between Minkowskian and Euclidean pictures turns out to be non-trivial for time-dependent Wilson loops. We find that in the S5-rotating case there appears to be no direct open-string duals for the Minkowskian Wilson loops, and their expectation values should be obtained by analytic continuation from the Euclidean-space results. In the Euclidean case, we determine the dependence of the ``quark - anti-quark'' potential on the rotation parameter, both at weak coupling (i.e. in the 1-loop perturbative SYM theory) and at strong coupling (i.e. in the classical string theory in AdS5 x S5).
| 6.530917
| 6.873706
| 7.450284
| 6.378644
| 7.053483
| 6.281473
| 6.642521
| 6.515435
| 6.629325
| 7.734368
| 6.695386
| 6.227407
| 6.953619
| 6.503564
| 6.560008
| 6.389574
| 6.378997
| 6.345006
| 6.443624
| 6.977419
| 6.345132
|
2403.03285
|
Konstantinos Rigatos
|
Konstantinos C. Rigatos, Shaodong Zhou
|
Bootstrapping AdS$_2 \times$ S$^2$ hypermultiplets: hidden
four-dimensional conformal symmetry
|
v1: 23+3 pages, 1 brane scan, 3 Witten diagrams, v2: added ref and
comments
| null |
10.1007/JHEP04(2024)128
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We bootstrap the $4$-point amplitude of $\mathcal{N}=2$ hypermultiplets in
$\text{AdS}_2 \times \text{S}^2$ at tree-level and for arbitrary external
weights. We hereby explicitly demonstrate the existence of a hidden
four-dimensional conformal symmetry that was used as an assumption in previous
studies to derive this result.
|
[
{
"created": "Tue, 5 Mar 2024 19:36:24 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Mar 2024 03:16:21 GMT",
"version": "v2"
},
{
"created": "Thu, 25 Apr 2024 03:15:17 GMT",
"version": "v3"
}
] |
2024-04-26
|
[
[
"Rigatos",
"Konstantinos C.",
""
],
[
"Zhou",
"Shaodong",
""
]
] |
We bootstrap the $4$-point amplitude of $\mathcal{N}=2$ hypermultiplets in $\text{AdS}_2 \times \text{S}^2$ at tree-level and for arbitrary external weights. We hereby explicitly demonstrate the existence of a hidden four-dimensional conformal symmetry that was used as an assumption in previous studies to derive this result.
| 11.063053
| 7.93565
| 9.093027
| 7.796632
| 7.501582
| 7.537097
| 7.288169
| 7.460359
| 8.2024
| 10.743616
| 8.029012
| 8.004662
| 9.327403
| 7.947973
| 8.153817
| 7.994086
| 8.141274
| 8.321073
| 7.822696
| 8.657932
| 8.296073
|
1009.4639
|
Eugenio Megias
|
K. Veschgini, E. Megias, H.J. Pirner
|
Trouble Finding the Optimal AdS/QCD
|
4 pages, 3 figures
|
Phys.Lett.B696:495-498,2011
|
10.1016/j.physletb.2011.01.011
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the bottom-up approach to AdS/QCD based on a five-dimensional gravity
dilaton action the exponential of the dilaton field is usually identified as
the strong or 't Hooft coupling. There is currently no model known which fits
the measurements of the running coupling and lattice results for pressure at
the same time. With a one parametric toy model we demonstrate the effect of
fitting the pressure on the coupling and vice versa.
|
[
{
"created": "Thu, 23 Sep 2010 15:34:23 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Jan 2011 10:55:15 GMT",
"version": "v2"
}
] |
2011-03-07
|
[
[
"Veschgini",
"K.",
""
],
[
"Megias",
"E.",
""
],
[
"Pirner",
"H. J.",
""
]
] |
In the bottom-up approach to AdS/QCD based on a five-dimensional gravity dilaton action the exponential of the dilaton field is usually identified as the strong or 't Hooft coupling. There is currently no model known which fits the measurements of the running coupling and lattice results for pressure at the same time. With a one parametric toy model we demonstrate the effect of fitting the pressure on the coupling and vice versa.
| 17.252962
| 12.954817
| 12.854042
| 13.607293
| 14.933273
| 14.551066
| 14.010943
| 14.178713
| 12.713744
| 15.364659
| 15.366352
| 13.591737
| 12.532755
| 12.703094
| 13.033982
| 13.232437
| 12.762464
| 13.230645
| 13.085642
| 12.851266
| 14.607192
|
hep-th/9406037
|
Noriyuki Humita
|
Noriyuki Fumita
|
Quantum Vacuum and Anomalies
|
12 pages, 2 figures included in a uuencoded file, phyzzx, OU-HEP-193
|
Int.J.Mod.Phys. A10 (1995) 2579-2588
|
10.1142/S0217751X95001224
| null |
hep-th
| null |
Chiral, conformal and ghost number anomalies are discussed from the viewpoint
of the quantum vacuum in Hamiltonian formalism. After introducing the energy
cut-off, we derive known anomalies in a new way. We show that the physical
origin of the anomalies is the zero point fluctuation of bosonic or fermionic
field. We first point out that the chiral U(1) anomaly is understood as the
creation of the chirality at the bottom of the regularized Dirac sea in
classical electromagnetic field. In the study of the (1+1) dimensional quantum
vacuum of matter field coupled to the gravity, we give a physically intuitive
picture of the conformal anomaly. The central charges are evaluated from the
vacuum energy. We clarify that the non-Hermitian regularization factor of the
vacuum energy is responsible for the ghost number anomaly.
|
[
{
"created": "Wed, 8 Jun 1994 05:40:22 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Fumita",
"Noriyuki",
""
]
] |
Chiral, conformal and ghost number anomalies are discussed from the viewpoint of the quantum vacuum in Hamiltonian formalism. After introducing the energy cut-off, we derive known anomalies in a new way. We show that the physical origin of the anomalies is the zero point fluctuation of bosonic or fermionic field. We first point out that the chiral U(1) anomaly is understood as the creation of the chirality at the bottom of the regularized Dirac sea in classical electromagnetic field. In the study of the (1+1) dimensional quantum vacuum of matter field coupled to the gravity, we give a physically intuitive picture of the conformal anomaly. The central charges are evaluated from the vacuum energy. We clarify that the non-Hermitian regularization factor of the vacuum energy is responsible for the ghost number anomaly.
| 11.852306
| 10.831883
| 11.610756
| 10.835024
| 11.173519
| 12.022407
| 11.250387
| 11.271302
| 10.747623
| 11.648596
| 10.795701
| 10.578916
| 10.994139
| 10.65356
| 10.9354
| 10.714792
| 10.526222
| 10.726542
| 10.702238
| 10.992872
| 10.297345
|
hep-th/0208162
|
Joanna Gonera
|
Katarzyna Bolonek, Piotr Kosinski
|
On uncertainty relations in noncommutative quantum mechanics
|
8 pages, revised version, few references added
|
Phys.Lett. B547 (2002) 51-54
|
10.1016/S0370-2693(02)02731-4
| null |
hep-th
| null |
We discuss the uncertainty relations in quantum mechanics on noncommutative
plane. In particular, we show that, for a given state at most one out of three
basic nontrivial uncertainty relations can be saturated. We consider also in
some detail the case of angular momentum eigenstates.
|
[
{
"created": "Thu, 22 Aug 2002 13:31:53 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Aug 2002 13:26:25 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Bolonek",
"Katarzyna",
""
],
[
"Kosinski",
"Piotr",
""
]
] |
We discuss the uncertainty relations in quantum mechanics on noncommutative plane. In particular, we show that, for a given state at most one out of three basic nontrivial uncertainty relations can be saturated. We consider also in some detail the case of angular momentum eigenstates.
| 9.874396
| 9.680397
| 11.631894
| 9.502471
| 8.641602
| 8.980258
| 10.23495
| 8.670432
| 9.858853
| 12.136961
| 9.041575
| 9.633192
| 10.368072
| 9.607485
| 8.719143
| 8.869431
| 9.333149
| 9.072178
| 9.719611
| 10.148703
| 8.961063
|
hep-th/9508141
|
Jonathan Evans
|
Jonathan M. Evans and Timothy J. Hollowood
|
Exact Results for Integrable Asymptotically-free Field Theories
|
16 pages, latex, no figures
|
Nucl.Phys.Proc.Suppl. 45A (1996) 130-139
| null |
CERN-TH/95-230, SWAT/94-95/63
|
hep-th
| null |
An account is given of a technique for testing the equivalence between an
exact factorizable S-matrix and an asymptotically-free Lagrangian field theory
in two space-time dimensions. The method provides a way of resolving CDD
ambiguities in the S-matrix and it also allows for an exact determination of
the physical mass in terms of the Lambda parameter of perturbation theory. The
results for various specific examples are summarized. (To appear in the
Proceedings of the Conference on Recent Developments in Quantum Field Theory
and Statistical Mechanics, ICTP, Trieste, Easter 1995).
|
[
{
"created": "Fri, 25 Aug 1995 17:01:29 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Evans",
"Jonathan M.",
""
],
[
"Hollowood",
"Timothy J.",
""
]
] |
An account is given of a technique for testing the equivalence between an exact factorizable S-matrix and an asymptotically-free Lagrangian field theory in two space-time dimensions. The method provides a way of resolving CDD ambiguities in the S-matrix and it also allows for an exact determination of the physical mass in terms of the Lambda parameter of perturbation theory. The results for various specific examples are summarized. (To appear in the Proceedings of the Conference on Recent Developments in Quantum Field Theory and Statistical Mechanics, ICTP, Trieste, Easter 1995).
| 9.311296
| 8.171101
| 9.49781
| 7.369219
| 8.094566
| 7.894749
| 7.634063
| 7.097979
| 7.403384
| 9.646661
| 7.834477
| 7.277199
| 8.098297
| 7.364752
| 7.485316
| 7.695769
| 7.485027
| 7.638296
| 7.197574
| 8.38373
| 7.479904
|
hep-th/0201238
|
Ralf Lehnert
|
Ralf Lehnert
|
Some Considerations Regarding Lorentz-Violating Theories
|
10 pages, presented at the Second Meeting on CPT and Lorentz
Symmetry, Bloomington, Indiana, August 2001
| null |
10.1142/9789812778123_0021
| null |
hep-th
| null |
We investigate the compatibility of Lorentz-violating quantum field theories
with the requirements of causality and stability. A general renormalizable
model for free massive fermions indicates that these requirements are satisfied
at low energies provided the couplings controlling the breaking are small.
However, for high energies either microcausality or energy positivity or both
are violated in some observer frame. We find evidence that this difficulty can
be avoided if the model is interpreted as a sub-Planckian approximation
originating from a nonlocal theory with spontaneous Lorentz violation. The
present study thereby supports the validity of the standard-model extension as
the low-energy limit of any realistic string theory that exhibits spontaneous
Lorentz breaking.
|
[
{
"created": "Tue, 29 Jan 2002 17:40:03 GMT",
"version": "v1"
}
] |
2017-08-23
|
[
[
"Lehnert",
"Ralf",
""
]
] |
We investigate the compatibility of Lorentz-violating quantum field theories with the requirements of causality and stability. A general renormalizable model for free massive fermions indicates that these requirements are satisfied at low energies provided the couplings controlling the breaking are small. However, for high energies either microcausality or energy positivity or both are violated in some observer frame. We find evidence that this difficulty can be avoided if the model is interpreted as a sub-Planckian approximation originating from a nonlocal theory with spontaneous Lorentz violation. The present study thereby supports the validity of the standard-model extension as the low-energy limit of any realistic string theory that exhibits spontaneous Lorentz breaking.
| 10.813489
| 11.415536
| 11.844092
| 10.795248
| 11.021021
| 11.037292
| 11.596716
| 10.869454
| 11.132704
| 12.686036
| 10.496187
| 10.669409
| 11.012274
| 10.970154
| 11.035166
| 11.28688
| 10.96602
| 10.674961
| 10.796584
| 11.373576
| 10.662927
|
1703.07993
|
Enrique Alvarez
|
Enrique Alvarez, Jesus Anero and Sergio Gonzalez-Martin
|
Quadratic gravity in first order formalism
|
50 pages, additions and new section. Version to be published in JCAP;
Spotted errata corrected
| null |
10.1088/1475-7516/2017/10/008
|
FTUAM-17-3; IFT-UAM/CSIC-17-015
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the most general action for gravity which is quadratic in
curvature. In this case first order and second order formalisms are not
equivalent. This framework is a good candidate for a unitary and renormalizable
theory of the gravitational field; in particular, there are no propagators
falling down faster than $\tfrac{1}{p^2}$. Calculations are somewhat involved
when all monomials are considered, but we have intended to laid down the
general case. The interaction between external sources is analyzed; this
interaction is conveyed mainly by the three-index connection field. The theory
as it stands, is in the conformal invariant phase; only when Weyl invariance is
broken through the coupling to matter can an Einstein-Hilbert term (and its
corresponding Planck mass scale) be generated by quantum corrections.
|
[
{
"created": "Thu, 23 Mar 2017 10:41:02 GMT",
"version": "v1"
},
{
"created": "Mon, 22 May 2017 08:14:09 GMT",
"version": "v2"
},
{
"created": "Tue, 11 Jul 2017 15:06:45 GMT",
"version": "v3"
},
{
"created": "Thu, 14 Sep 2017 09:01:35 GMT",
"version": "v4"
},
{
"created": "Thu, 21 Dec 2017 13:34:49 GMT",
"version": "v5"
}
] |
2017-12-22
|
[
[
"Alvarez",
"Enrique",
""
],
[
"Anero",
"Jesus",
""
],
[
"Gonzalez-Martin",
"Sergio",
""
]
] |
We consider the most general action for gravity which is quadratic in curvature. In this case first order and second order formalisms are not equivalent. This framework is a good candidate for a unitary and renormalizable theory of the gravitational field; in particular, there are no propagators falling down faster than $\tfrac{1}{p^2}$. Calculations are somewhat involved when all monomials are considered, but we have intended to laid down the general case. The interaction between external sources is analyzed; this interaction is conveyed mainly by the three-index connection field. The theory as it stands, is in the conformal invariant phase; only when Weyl invariance is broken through the coupling to matter can an Einstein-Hilbert term (and its corresponding Planck mass scale) be generated by quantum corrections.
| 12.386239
| 9.357004
| 12.88415
| 11.330953
| 12.238444
| 10.060366
| 10.412076
| 10.225866
| 11.312435
| 13.311157
| 11.46089
| 11.633087
| 12.604025
| 11.99122
| 12.545544
| 12.065749
| 11.763328
| 11.822078
| 12.099624
| 12.770493
| 12.07509
|
hep-th/9611094
|
Arvind Rajaraman
|
Renata Kallosh, Arvind Rajaraman and Wing Kai Wong
|
Supersymmetric Rotating Black Holes and Attractors
|
7 pages,latex
|
Phys.Rev.D55:3246-3249,1997
|
10.1103/PhysRevD.55.3246
|
SU-ITP-96-49
|
hep-th
| null |
Five-dimensional stringy rotating black holes are embedded into N=2
supergravity interacting with one vector multiplet. The existence of an
unbroken supersymmetry of the rotating solution is proved directly by solving
the Killing spinor equations. The asymptotic enhancement of supersymmetry near
the horizon in the presence of rotation is established via the calculation of
the super-curvature. The area of the horizon of the rotating supersymmetric
black holes is found to be $\sqrt {Z_{fix}^{3 }- J^2}$, where $Z_{fix}$ is the
extremal value of the central charge in moduli space.
|
[
{
"created": "Wed, 13 Nov 1996 22:31:34 GMT",
"version": "v1"
}
] |
2009-12-30
|
[
[
"Kallosh",
"Renata",
""
],
[
"Rajaraman",
"Arvind",
""
],
[
"Wong",
"Wing Kai",
""
]
] |
Five-dimensional stringy rotating black holes are embedded into N=2 supergravity interacting with one vector multiplet. The existence of an unbroken supersymmetry of the rotating solution is proved directly by solving the Killing spinor equations. The asymptotic enhancement of supersymmetry near the horizon in the presence of rotation is established via the calculation of the super-curvature. The area of the horizon of the rotating supersymmetric black holes is found to be $\sqrt {Z_{fix}^{3 }- J^2}$, where $Z_{fix}$ is the extremal value of the central charge in moduli space.
| 9.868957
| 8.643686
| 10.504308
| 8.788232
| 9.182498
| 9.295614
| 8.752067
| 9.033946
| 8.820393
| 10.122942
| 8.487898
| 8.437706
| 9.146074
| 9.012054
| 8.631731
| 8.9958
| 8.735014
| 8.387375
| 8.754283
| 9.479377
| 8.683527
|
hep-th/0301076
|
O.-Kab Kwon
|
Chanju Kim, Hang Bae Kim, Yoonbai Kim, O-Kab Kwon
|
Electromagnetic String Fluid in Rolling Tachyon
|
LaTeX, 18 pages, 1 figure, minor corrections
|
JHEP 0303 (2003) 008
|
10.1088/1126-6708/2003/03/008
| null |
hep-th
| null |
We study Born-Infeld type effective action for unstable D3-brane system
including a tachyon and an Abelian gauge field, and find the rolling tachyon
with constant electric and magnetic fields as the most general homogeneous
solution. Tachyonic vacua are characterized by magnitudes of the electric and
magnetic fields and the angle between them. Analysis of small fluctuations in
this background shows that the obtained configuration may be interpreted as a
fluid consisting of string-like objects carrying electric and magnetic fields.
They are stretched along one direction and the rolling tachyon move in a
perpendicular direction to the strings. Direction of the propagating waves
coincides with that of strings with velocity equal to electric field.
|
[
{
"created": "Mon, 13 Jan 2003 14:55:16 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Feb 2003 12:04:42 GMT",
"version": "v2"
},
{
"created": "Thu, 6 Mar 2003 04:03:36 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Kim",
"Chanju",
""
],
[
"Kim",
"Hang Bae",
""
],
[
"Kim",
"Yoonbai",
""
],
[
"Kwon",
"O-Kab",
""
]
] |
We study Born-Infeld type effective action for unstable D3-brane system including a tachyon and an Abelian gauge field, and find the rolling tachyon with constant electric and magnetic fields as the most general homogeneous solution. Tachyonic vacua are characterized by magnitudes of the electric and magnetic fields and the angle between them. Analysis of small fluctuations in this background shows that the obtained configuration may be interpreted as a fluid consisting of string-like objects carrying electric and magnetic fields. They are stretched along one direction and the rolling tachyon move in a perpendicular direction to the strings. Direction of the propagating waves coincides with that of strings with velocity equal to electric field.
| 11.728867
| 11.206841
| 12.608699
| 10.66498
| 11.018963
| 11.404882
| 10.275427
| 10.516331
| 10.423636
| 12.433413
| 11.302924
| 11.140441
| 12.47788
| 11.183377
| 11.278845
| 10.872829
| 11.154817
| 11.068378
| 11.244839
| 12.421964
| 11.347744
|
2104.14194
|
Andrew McLeod
|
John Golden and Andrew J. McLeod
|
The Two-Loop Remainder Function for Eight and Nine Particles
|
36 pages, 3 figures, 2 tables
| null |
10.1007/JHEP06(2021)142
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Two-loop MHV amplitudes in planar ${\cal N} = 4$ supersymmetric Yang Mills
theory are known to exhibit many intriguing forms of cluster-algebraic
structure. We leverage this structure to upgrade the symbols of the eight- and
nine-particle amplitudes to complete analytic functions. This is done by
systematically projecting onto the components of these amplitudes that take
different functional forms, and matching each component to an ansatz of
multiple polylogarithms with negative cluster-coordinate arguments. The
remaining additive constant can be determined analytically by comparing the
collinear limit of each amplitude to known lower-multiplicity results. We also
observe that the nonclassical part of each of these amplitudes admits a unique
decomposition in terms of a specific $A_3$ cluster polylogarithm, and explore
the numerical behavior of the remainder function along lines in the positive
region.
|
[
{
"created": "Thu, 29 Apr 2021 08:29:43 GMT",
"version": "v1"
}
] |
2021-07-14
|
[
[
"Golden",
"John",
""
],
[
"McLeod",
"Andrew J.",
""
]
] |
Two-loop MHV amplitudes in planar ${\cal N} = 4$ supersymmetric Yang Mills theory are known to exhibit many intriguing forms of cluster-algebraic structure. We leverage this structure to upgrade the symbols of the eight- and nine-particle amplitudes to complete analytic functions. This is done by systematically projecting onto the components of these amplitudes that take different functional forms, and matching each component to an ansatz of multiple polylogarithms with negative cluster-coordinate arguments. The remaining additive constant can be determined analytically by comparing the collinear limit of each amplitude to known lower-multiplicity results. We also observe that the nonclassical part of each of these amplitudes admits a unique decomposition in terms of a specific $A_3$ cluster polylogarithm, and explore the numerical behavior of the remainder function along lines in the positive region.
| 12.648939
| 11.72497
| 12.730815
| 11.051569
| 11.698348
| 10.911107
| 12.035992
| 11.503671
| 11.115438
| 14.676844
| 11.798671
| 11.100142
| 11.987604
| 11.123622
| 11.879601
| 11.362929
| 11.344254
| 11.392958
| 11.02868
| 11.978893
| 11.112365
|
hep-th/0209202
|
Kokorelis
|
Christos Kokorelis
|
Deformed Intersecting D6-Brane GUTS I
|
45 pages, 1 figure, LaTex, The discussion on the hidden orthogonal
U(1) D6-branes extended
|
JHEP 0211 (2002) 027
|
10.1088/1126-6708/2002/11/027
|
FTUAM-02/23, IFT-UAM/CSIC-02-39
|
hep-th hep-ph
| null |
By employing D6-branes intersecting at angles in $D = 4$ type IIA strings, we
construct {\em four stack string GUT models} (PS-I class), that contain at low
energy {\em exactly the three generation Standard model} with no extra matter
and/or extra gauge group factors. These classes of models are based on the
Pati-Salam (PS) gauge group $SU(4)_C \times SU(2)_L \times SU(2)_R$. They
represent deformations around the quark and lepton basic intersection number
structure. The models possess the same phenomenological characteristics of some
recently discussed examples (PS-A class) of four stack PS GUTS. Namely, there
are no colour triplet couplings to mediate proton decay and proton is stable as
baryon number is a gauged symmetry. Neutrinos get masses of the correct sizes.
Also the mass relation
$m_e = m_d$ at the GUT scale is recovered.
Moreover, we clarify the novel role of {\em extra} branes, the latter having
non-trivial intersection numbers with quarks and leptons and creating scalar
singlets, needed for the satisfaction of RR tadpole cancellation conditions.
The presence of N=1 supersymmetry in sectors involving the {\em extra} branes
is equivalent to the, model dependent, orthogonality conditions of the U(1)'s
surviving massless the generalized Green-Schwarz mechanism.
The use of
{\em extra} branes creates mass couplings that predict the appearance of
light fermion doublets up to the scale of electroweak scale symmetry breaking.
|
[
{
"created": "Tue, 24 Sep 2002 12:44:25 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Sep 2002 12:56:49 GMT",
"version": "v2"
},
{
"created": "Mon, 16 Dec 2002 18:00:02 GMT",
"version": "v3"
}
] |
2016-09-06
|
[
[
"Kokorelis",
"Christos",
""
]
] |
By employing D6-branes intersecting at angles in $D = 4$ type IIA strings, we construct {\em four stack string GUT models} (PS-I class), that contain at low energy {\em exactly the three generation Standard model} with no extra matter and/or extra gauge group factors. These classes of models are based on the Pati-Salam (PS) gauge group $SU(4)_C \times SU(2)_L \times SU(2)_R$. They represent deformations around the quark and lepton basic intersection number structure. The models possess the same phenomenological characteristics of some recently discussed examples (PS-A class) of four stack PS GUTS. Namely, there are no colour triplet couplings to mediate proton decay and proton is stable as baryon number is a gauged symmetry. Neutrinos get masses of the correct sizes. Also the mass relation $m_e = m_d$ at the GUT scale is recovered. Moreover, we clarify the novel role of {\em extra} branes, the latter having non-trivial intersection numbers with quarks and leptons and creating scalar singlets, needed for the satisfaction of RR tadpole cancellation conditions. The presence of N=1 supersymmetry in sectors involving the {\em extra} branes is equivalent to the, model dependent, orthogonality conditions of the U(1)'s surviving massless the generalized Green-Schwarz mechanism. The use of {\em extra} branes creates mass couplings that predict the appearance of light fermion doublets up to the scale of electroweak scale symmetry breaking.
| 12.320704
| 8.376444
| 12.902828
| 10.099266
| 9.116071
| 8.567803
| 9.130818
| 8.942516
| 9.735337
| 13.43678
| 10.123745
| 11.497254
| 11.889915
| 11.301606
| 11.248448
| 10.994469
| 10.95279
| 10.913799
| 11.033106
| 12.208168
| 11.270418
|
1101.2174
|
Mairi Sakellariadou
|
Mairi Sakellariadou
|
Cosmology within Noncommutative Spectral Geometry
|
14 pages. Invited talk in the Corfu Summer Institute on Elementary
Particles and Physics - Workshop on Non Commutative Field Theory and Gravity,
September 8-12, 2010 Corfu Greece
|
PoS CNCFG2010:028,2010
| null | null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Close to the Planck energy scale, the quantum nature of space-time reveals
itself and all forces, including gravity, should be unified so that all
interactions correspond to just one underlying symmetry. In the absence of a
full quantum gravity theory, one may follow an effective approach and consider
space-time as the product of a four-dimensional continuum compact Riemanian
manifold by a tiny discrete finite noncommutative space. Since all available
data are of a spectral nature, one may argue that it is more appropriate to
apply the spectral action principle in this almost commutative space. Following
this procedure one obtains an elegant geometric explanation for the most
successful particle physics model, namely the standard model (and
supersymmetric extensions) of electroweak and strong interactions in all its
details, as determined by experimental data. Moreover, since this gravitational
theory lives by construction at very high energy scales, it offers a perfect
framework to address some of the early universe cosmological questions still
awaiting for an answer.
After introducing some of the main mathematical elements of noncommutative
spectral geometry, I will discuss various cosmological and phenomenological
consequences of this theory, focusing in particular on constraints imposed on
the gravitational sector of the theory.
|
[
{
"created": "Tue, 11 Jan 2011 18:16:07 GMT",
"version": "v1"
}
] |
2015-03-17
|
[
[
"Sakellariadou",
"Mairi",
""
]
] |
Close to the Planck energy scale, the quantum nature of space-time reveals itself and all forces, including gravity, should be unified so that all interactions correspond to just one underlying symmetry. In the absence of a full quantum gravity theory, one may follow an effective approach and consider space-time as the product of a four-dimensional continuum compact Riemanian manifold by a tiny discrete finite noncommutative space. Since all available data are of a spectral nature, one may argue that it is more appropriate to apply the spectral action principle in this almost commutative space. Following this procedure one obtains an elegant geometric explanation for the most successful particle physics model, namely the standard model (and supersymmetric extensions) of electroweak and strong interactions in all its details, as determined by experimental data. Moreover, since this gravitational theory lives by construction at very high energy scales, it offers a perfect framework to address some of the early universe cosmological questions still awaiting for an answer. After introducing some of the main mathematical elements of noncommutative spectral geometry, I will discuss various cosmological and phenomenological consequences of this theory, focusing in particular on constraints imposed on the gravitational sector of the theory.
| 10.945578
| 11.231083
| 11.585657
| 10.748801
| 11.290613
| 10.474191
| 10.557163
| 10.041653
| 11.019499
| 11.667486
| 11.03669
| 10.920869
| 10.753998
| 10.716268
| 10.99194
| 10.699557
| 10.637103
| 10.615897
| 10.773578
| 10.867692
| 10.576799
|
hep-th/0503089
|
Peng Zhang
|
Bin Chen, Ya-Li He, Peng Zhang and Xing-Chang Song
|
Flat Currents of the Green-Schwarz Superstrings in AdS_5 x S^1 and AdS_3
x S^3 backgrounds
|
18 pages, LaTeX file. References added and typos corrected
|
Phys.Rev. D71 (2005) 086007
|
10.1103/PhysRevD.71.086007
| null |
hep-th
| null |
We construct a one-parameter family of flat currents in AdS_5 x S^1 and AdS_3
x S^3 Green-Schwarz superstrings, which would naturally lead to a hierarchy of
classical conserved nonlocal charges. In the former case we rewrite the AdS_5 x
S^1 string using a new Z_4-graded base of the superalgebra su(2,2|2). In both
cases the existence of the Z_4 grading in the superalgebras plays a key role in
the construction. As a result, we find that the flat currents, when formally
written in terms of the G_0-gauge invariant lowercase 1-forms, take the same
form as the one in AdS_5 x S^5 case.
|
[
{
"created": "Thu, 10 Mar 2005 14:23:17 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Mar 2005 02:25:13 GMT",
"version": "v2"
},
{
"created": "Mon, 14 Mar 2005 04:42:08 GMT",
"version": "v3"
},
{
"created": "Sun, 20 Mar 2005 06:30:44 GMT",
"version": "v4"
}
] |
2009-11-11
|
[
[
"Chen",
"Bin",
""
],
[
"He",
"Ya-Li",
""
],
[
"Zhang",
"Peng",
""
],
[
"Song",
"Xing-Chang",
""
]
] |
We construct a one-parameter family of flat currents in AdS_5 x S^1 and AdS_3 x S^3 Green-Schwarz superstrings, which would naturally lead to a hierarchy of classical conserved nonlocal charges. In the former case we rewrite the AdS_5 x S^1 string using a new Z_4-graded base of the superalgebra su(2,2|2). In both cases the existence of the Z_4 grading in the superalgebras plays a key role in the construction. As a result, we find that the flat currents, when formally written in terms of the G_0-gauge invariant lowercase 1-forms, take the same form as the one in AdS_5 x S^5 case.
| 8.405033
| 7.802138
| 9.954101
| 8.044785
| 8.535727
| 8.485632
| 8.504813
| 7.613235
| 7.883274
| 11.694238
| 7.250968
| 7.77514
| 8.53351
| 7.818225
| 7.97012
| 7.7618
| 7.746488
| 7.512655
| 8.172041
| 8.869286
| 7.74345
|
hep-th/0506185
|
Manvelyan Ruben
|
Ruben Manvelyan and Werner Ruehl
|
The quantum one loop trace anomaly of the higher spin conformal
conserved currents in the bulk of $AdS_{4}$
|
23 pages, Latex, misprints corrected, v.3 two sections added, v.4
published version in Nucl. Phys. B
|
Nucl.Phys. B733 (2006) 104-122
|
10.1016/j.nuclphysb.2005.10.034
| null |
hep-th
| null |
An analysis of the structure and singularities of the one loop two point
function of the higher spin traceless and conserved currents constructed from
the single scalar field in $AdS$ space is presented. The detailed
renormalization procedure is constructed and the quantum violation of the
traceless Ward identity is investigated. The connection with the one loop
effective action for higher spin gauge fields is discussed.
|
[
{
"created": "Wed, 22 Jun 2005 07:56:38 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Jul 2005 11:36:11 GMT",
"version": "v2"
},
{
"created": "Mon, 17 Oct 2005 10:35:31 GMT",
"version": "v3"
},
{
"created": "Tue, 7 Feb 2006 10:09:37 GMT",
"version": "v4"
}
] |
2010-04-05
|
[
[
"Manvelyan",
"Ruben",
""
],
[
"Ruehl",
"Werner",
""
]
] |
An analysis of the structure and singularities of the one loop two point function of the higher spin traceless and conserved currents constructed from the single scalar field in $AdS$ space is presented. The detailed renormalization procedure is constructed and the quantum violation of the traceless Ward identity is investigated. The connection with the one loop effective action for higher spin gauge fields is discussed.
| 11.868676
| 9.809623
| 10.969424
| 8.972569
| 9.778226
| 9.223509
| 9.176829
| 9.530958
| 9.100164
| 13.156921
| 9.326636
| 8.97884
| 10.43548
| 9.701744
| 9.62993
| 9.635404
| 9.572913
| 9.806791
| 9.513692
| 10.236238
| 9.38986
|
1702.03934
|
Ashoke Sen
|
Ashoke Sen
|
Soft Theorems in Superstring Theory
|
LaTex file, 21 pages; v2: references updated, other minor changes;
v3: minor clarifications added
|
JHEP 1706 (2017) 113
|
10.1007/JHEP06(2017)113
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use insights from superstring field theory to prove the subleading soft
graviton theorem for tree amplitudes of (compactified) heterotic and type II
string theories for arbitrary number of finite energy NS (NSNS) sector external
states but only one soft graviton. We also prove the leading soft graviton
theorem in these theories for arbitrary number of external soft gravitons. In
our analysis there is no restriction on the mass and spin of the finite energy
external states. This method can also be used to give a proof of the subleading
soft graviton theorem for tree amplitudes in quantum field theories coupled to
gravity with generic interactions. We discuss the technical issue involved in
extending this analysis to loop amplitudes of superstring theory including
Ramond sector external states, and its possible resolution.
|
[
{
"created": "Mon, 13 Feb 2017 19:00:03 GMT",
"version": "v1"
},
{
"created": "Sat, 15 Apr 2017 07:53:46 GMT",
"version": "v2"
},
{
"created": "Sat, 22 Jul 2017 16:38:03 GMT",
"version": "v3"
}
] |
2017-07-25
|
[
[
"Sen",
"Ashoke",
""
]
] |
We use insights from superstring field theory to prove the subleading soft graviton theorem for tree amplitudes of (compactified) heterotic and type II string theories for arbitrary number of finite energy NS (NSNS) sector external states but only one soft graviton. We also prove the leading soft graviton theorem in these theories for arbitrary number of external soft gravitons. In our analysis there is no restriction on the mass and spin of the finite energy external states. This method can also be used to give a proof of the subleading soft graviton theorem for tree amplitudes in quantum field theories coupled to gravity with generic interactions. We discuss the technical issue involved in extending this analysis to loop amplitudes of superstring theory including Ramond sector external states, and its possible resolution.
| 8.01128
| 6.548394
| 8.142695
| 6.656725
| 7.098199
| 7.037648
| 7.1663
| 6.340158
| 6.822792
| 10.139297
| 6.654835
| 6.902867
| 7.676474
| 7.384878
| 7.083214
| 7.012206
| 6.906631
| 6.971041
| 6.913444
| 7.577477
| 7.034911
|
hep-th/9602118
|
Paul Aspinwall
|
Paul S. Aspinwall and Mark Gross
|
Heterotic-Heterotic String Duality and Multiple K3 Fibrations
|
13 pages, LaTeX
|
Phys.Lett. B382 (1996) 81-88
|
10.1016/0370-2693(96)00551-5
|
CLNS-96/1402
|
hep-th
| null |
A type IIA string compactified on a Calabi-Yau manifold which admits a K3
fibration is believed to be equivalent to a heterotic string in four
dimensions. We study cases where a Calabi-Yau manifold can have more than one
such fibration leading to equivalences between perturbatively inequivalent
heterotic strings. This allows an analysis of an example in six dimensions due
to Duff, Minasian and Witten and enables us to go some way to prove a
conjecture by Kachru and Vafa. The interplay between gauge groups which arise
perturbatively and nonperturbatively is seen clearly in this example. As an
extreme case we discuss a Calabi-Yau manifold which admits an infinite number
of K3 fibrations leading to infinite set of equivalent heterotic strings.
|
[
{
"created": "Wed, 21 Feb 1996 19:12:26 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Aspinwall",
"Paul S.",
""
],
[
"Gross",
"Mark",
""
]
] |
A type IIA string compactified on a Calabi-Yau manifold which admits a K3 fibration is believed to be equivalent to a heterotic string in four dimensions. We study cases where a Calabi-Yau manifold can have more than one such fibration leading to equivalences between perturbatively inequivalent heterotic strings. This allows an analysis of an example in six dimensions due to Duff, Minasian and Witten and enables us to go some way to prove a conjecture by Kachru and Vafa. The interplay between gauge groups which arise perturbatively and nonperturbatively is seen clearly in this example. As an extreme case we discuss a Calabi-Yau manifold which admits an infinite number of K3 fibrations leading to infinite set of equivalent heterotic strings.
| 6.535834
| 5.869352
| 7.495342
| 6.286456
| 7.044583
| 6.197107
| 6.253622
| 5.908101
| 6.069659
| 7.69891
| 6.127848
| 6.288201
| 6.881199
| 6.116293
| 6.169748
| 6.281937
| 6.312813
| 6.226367
| 6.313509
| 6.543903
| 6.285317
|
1209.5817
|
O-Kab Kwon
|
Yoonbai Kim, O-Kab Kwon, D. D. Tolla
|
Partially Supersymmetric ABJM Theory with Flux
|
22 pages, 1 figure
| null |
10.1007/JHEP11(2012)169
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Starting with generic Wess-Zumino type coupling to constant four-form and the
dual seven-form field strengths in the ABJM theory, we obtain mass-deformed
theories with ${\cal N}=2,4$ supersymmetries. These theories contain massless
scalar fields and allow the implementation of the Mukhi-Papageorgakis Higgsing
procedure. Using this procedure, we connect the Higgsed theories to
three-dimensional mass-deformed SYM theories. These are also connected by the
four-dimensional ${\cal N}=1^*,2^*$ mass-deformed SYM theories through
dimensional reduction. We classify the three-dimensional mass-deformed SYM
theories of ${\cal N}=1,2,4$ supersymmetry, of which a few cases of ${\cal
N}=1,2$ are connected neither by MP Higgsing procedure nor dimensional
reduction.
|
[
{
"created": "Wed, 26 Sep 2012 02:22:26 GMT",
"version": "v1"
}
] |
2015-06-11
|
[
[
"Kim",
"Yoonbai",
""
],
[
"Kwon",
"O-Kab",
""
],
[
"Tolla",
"D. D.",
""
]
] |
Starting with generic Wess-Zumino type coupling to constant four-form and the dual seven-form field strengths in the ABJM theory, we obtain mass-deformed theories with ${\cal N}=2,4$ supersymmetries. These theories contain massless scalar fields and allow the implementation of the Mukhi-Papageorgakis Higgsing procedure. Using this procedure, we connect the Higgsed theories to three-dimensional mass-deformed SYM theories. These are also connected by the four-dimensional ${\cal N}=1^*,2^*$ mass-deformed SYM theories through dimensional reduction. We classify the three-dimensional mass-deformed SYM theories of ${\cal N}=1,2,4$ supersymmetry, of which a few cases of ${\cal N}=1,2$ are connected neither by MP Higgsing procedure nor dimensional reduction.
| 8.633775
| 8.197844
| 9.242467
| 8.062201
| 8.579774
| 8.650497
| 8.827088
| 8.477808
| 8.264957
| 10.462994
| 7.626044
| 8.032822
| 8.240431
| 7.791457
| 7.986245
| 8.258328
| 8.068563
| 8.116918
| 7.973528
| 8.382353
| 7.966664
|
1402.1934
|
Seyed Morteza Hosseini
|
Farid Charmchi, Siamak S. Gousheh and Seyed Morteza Hosseini
|
One-loop quantum correction to the mass of the supersymmetric Kink in (1
+ 1) dimensions using the exact spectra and the phase shifts
|
15 pages, 3 figures, V2: Paper revised, references added, published
version
|
J. Phys. A: Math. Theor. 47 (2014) 335401
|
10.1088/1751-8113/47/33/335401
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the quantum correction to the mass of the kink at the one-loop
level in (1+1) dimensions with minimal supersymmetry. In this paper we discuss
this issue from the Casimir energy perspective using phase shifts along with
the mode number cut-off regularization method. Exact solutions and in
particular an exact expression for the phase shifts are already available for
the bosonic sector. In this paper we derive analogous exact results for the
fermionic sector. Most importantly, we derive a unique and exact expression for
the fermionic phase shift, using the exact solutions for the continuum parts of
the spectrum and a prescription we had introduced earlier. We use the strong
and weak forms of the Levinson theorem merely for checking the consistency of
our phase shifts and results, and not as an integral part of our procedure.
Moreover, we find that the properties of the fermionic spectrum, including
bound and continuum states, are independent of the magnitude of the Yukawa
coupling constant $\lambda$, and that the dynamical mass generation occurs at
the tree level. These are all due to SUSY and are in sharp contrast to
analogous models without SUSY, such as the Jackiw-Rebbi model, where $\lambda$
is a free parameter. We use the renormalized perturbation theory and find the
counterterm which is consistent with supersymmetry. We show that this procedure
is sufficient to obtain the accepted value for the one-loop quantum correction
to the mass of the SUSY kink which is $-\frac{m}{2\pi}$.
|
[
{
"created": "Sun, 9 Feb 2014 11:19:46 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Aug 2014 12:36:31 GMT",
"version": "v2"
}
] |
2014-08-08
|
[
[
"Charmchi",
"Farid",
""
],
[
"Gousheh",
"Siamak S.",
""
],
[
"Hosseini",
"Seyed Morteza",
""
]
] |
We compute the quantum correction to the mass of the kink at the one-loop level in (1+1) dimensions with minimal supersymmetry. In this paper we discuss this issue from the Casimir energy perspective using phase shifts along with the mode number cut-off regularization method. Exact solutions and in particular an exact expression for the phase shifts are already available for the bosonic sector. In this paper we derive analogous exact results for the fermionic sector. Most importantly, we derive a unique and exact expression for the fermionic phase shift, using the exact solutions for the continuum parts of the spectrum and a prescription we had introduced earlier. We use the strong and weak forms of the Levinson theorem merely for checking the consistency of our phase shifts and results, and not as an integral part of our procedure. Moreover, we find that the properties of the fermionic spectrum, including bound and continuum states, are independent of the magnitude of the Yukawa coupling constant $\lambda$, and that the dynamical mass generation occurs at the tree level. These are all due to SUSY and are in sharp contrast to analogous models without SUSY, such as the Jackiw-Rebbi model, where $\lambda$ is a free parameter. We use the renormalized perturbation theory and find the counterterm which is consistent with supersymmetry. We show that this procedure is sufficient to obtain the accepted value for the one-loop quantum correction to the mass of the SUSY kink which is $-\frac{m}{2\pi}$.
| 8.722885
| 8.164647
| 8.797263
| 8.021862
| 8.221839
| 8.669828
| 8.417904
| 8.287821
| 8.246258
| 8.872938
| 8.109011
| 8.281267
| 8.592423
| 8.248075
| 8.232256
| 8.313993
| 8.45696
| 8.350173
| 8.481065
| 8.534763
| 8.41626
|
2302.00684
|
Carlos Heredia Pimienta
|
Carlos Heredia and Josep Llosa
|
Infinite Derivatives vs Integral Operators. The Moeller-Zwiebach Puzzle
|
19 pages, 3 figures
|
2024 J. Phys. A: Math. Theor. 57 235202
|
10.1088/1751-8121/ad4aa5
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the relationship between integral and infinite-derivative operators.
In particular, we examine the operator $p^{\frac12\,\partial_t^2}\,$ that
appears in the theory of $p$-adic string fields, as well as the Moyal product
that arises in non-commutative theories. We also attempt to clarify the
apparent paradox presented by Moeller and Zwiebach, which highlights the
discrepancy between them.
|
[
{
"created": "Wed, 1 Feb 2023 19:00:01 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Feb 2023 16:14:25 GMT",
"version": "v2"
},
{
"created": "Fri, 24 May 2024 10:22:59 GMT",
"version": "v3"
}
] |
2024-05-27
|
[
[
"Heredia",
"Carlos",
""
],
[
"Llosa",
"Josep",
""
]
] |
We study the relationship between integral and infinite-derivative operators. In particular, we examine the operator $p^{\frac12\,\partial_t^2}\,$ that appears in the theory of $p$-adic string fields, as well as the Moyal product that arises in non-commutative theories. We also attempt to clarify the apparent paradox presented by Moeller and Zwiebach, which highlights the discrepancy between them.
| 13.118348
| 14.405075
| 16.029852
| 12.758649
| 16.118664
| 12.589249
| 13.391934
| 13.030318
| 12.242258
| 15.325179
| 12.962648
| 12.002353
| 13.625997
| 12.287879
| 12.313735
| 12.1952
| 12.207222
| 12.388879
| 13.128135
| 13.228696
| 12.566808
|
0907.1824
|
Nadareishvili Teimuraz Pavel
|
T. Nadareishvili, A. Khelashvili
|
Generalization of Hypervirial and Feynman-Hellmann Theorems for Singular
Potentials
|
14 pages
| null | null | null |
hep-th math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using well-known methods we generalize (hyper)virial theorems to case of
singular potential. Discussion is performed for most general second order
differential equation, which involves all physically interesting cases, as
Schrodinger and Klein-Gordon equations with singular potentials. Some physical
consequences are discussed. The connection with Feynman-Hellmann like theorems
are also considered and some relevant differences are underlined.
|
[
{
"created": "Fri, 10 Jul 2009 16:43:32 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Nov 2009 21:09:32 GMT",
"version": "v2"
}
] |
2009-11-19
|
[
[
"Nadareishvili",
"T.",
""
],
[
"Khelashvili",
"A.",
""
]
] |
Using well-known methods we generalize (hyper)virial theorems to case of singular potential. Discussion is performed for most general second order differential equation, which involves all physically interesting cases, as Schrodinger and Klein-Gordon equations with singular potentials. Some physical consequences are discussed. The connection with Feynman-Hellmann like theorems are also considered and some relevant differences are underlined.
| 16.855042
| 16.871759
| 15.141491
| 15.562533
| 17.065739
| 14.578159
| 18.714544
| 15.038345
| 15.161022
| 18.30094
| 16.265848
| 15.49179
| 15.796811
| 15.099208
| 15.198086
| 15.062967
| 14.981209
| 14.549363
| 14.712684
| 15.097487
| 14.988339
|
2003.08405
|
Edward Hardy
|
Joan Elias Miro, Edward Hardy
|
Exploring Hamiltonian Truncation in $\bf{d=2+1}$
|
51 pages, 14 figures
|
Phys. Rev. D 102, 065001 (2020)
|
10.1103/PhysRevD.102.065001
| null |
hep-th cond-mat.stat-mech cond-mat.str-el hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We initiate the application of Hamiltonian Truncation methods to solve
strongly coupled QFTs in $d=2+1$. By analysing perturbation theory with a
Hamiltonian Truncation regulator, we pinpoint the challenges of such an
approach and propose a way that these can be addressed. This enables us to
formulate Hamiltonian Truncation theory for $\phi^4$ in $d=2+1$, and to study
its spectrum at weak and strong coupling. The results obtained agree well with
the predictions of a weak/strong self-duality possessed by the theory. The
$\phi^4$ interaction is a strongly relevant UV divergent perturbation, and
represents a case study of a more general scenario. Thus, the approach
developed should be applicable to many other QFTs of interest.
|
[
{
"created": "Wed, 18 Mar 2020 18:00:13 GMT",
"version": "v1"
}
] |
2020-09-09
|
[
[
"Miro",
"Joan Elias",
""
],
[
"Hardy",
"Edward",
""
]
] |
We initiate the application of Hamiltonian Truncation methods to solve strongly coupled QFTs in $d=2+1$. By analysing perturbation theory with a Hamiltonian Truncation regulator, we pinpoint the challenges of such an approach and propose a way that these can be addressed. This enables us to formulate Hamiltonian Truncation theory for $\phi^4$ in $d=2+1$, and to study its spectrum at weak and strong coupling. The results obtained agree well with the predictions of a weak/strong self-duality possessed by the theory. The $\phi^4$ interaction is a strongly relevant UV divergent perturbation, and represents a case study of a more general scenario. Thus, the approach developed should be applicable to many other QFTs of interest.
| 9.022472
| 8.442992
| 9.214761
| 8.159505
| 8.756226
| 8.190207
| 8.344845
| 8.184889
| 8.203603
| 9.777011
| 8.008362
| 8.363782
| 8.876758
| 8.914172
| 8.510959
| 8.846254
| 8.601419
| 8.511182
| 8.695649
| 9.532896
| 8.650407
|
0905.4123
|
Yoshiharu Kawamura
|
Yoshiharu Kawamura, Takashi Miura
|
Equivalence Classes of Boundary Conditions in SU(N) Gauge Theory on
2-dimensional Orbifolds
|
18 pages, 4 figures, revised version for publication in PTP
|
Prog.Theor.Phys.122:847-864,2010
|
10.1143/PTP.122.847
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study equivalence classes of boundary conditions in an SU(N) gauge theory
on six-dimensional space-time including two-dimensional orbifold. For five
kinds of two-dimensional orbifolds $S^1/Z_2 \times S^1/Z_2$ and $T^2/Z_m$
$(m=2,3,4,6)$, orbifold conditions and those gauge transformation properties
are given and the equivalence relations among boundary conditions are derived.
The classification of boundary conditions related to diagonal representatives
is carried out using the equivalence relations.
|
[
{
"created": "Tue, 26 May 2009 06:21:07 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Aug 2009 10:16:01 GMT",
"version": "v2"
}
] |
2010-01-15
|
[
[
"Kawamura",
"Yoshiharu",
""
],
[
"Miura",
"Takashi",
""
]
] |
We study equivalence classes of boundary conditions in an SU(N) gauge theory on six-dimensional space-time including two-dimensional orbifold. For five kinds of two-dimensional orbifolds $S^1/Z_2 \times S^1/Z_2$ and $T^2/Z_m$ $(m=2,3,4,6)$, orbifold conditions and those gauge transformation properties are given and the equivalence relations among boundary conditions are derived. The classification of boundary conditions related to diagonal representatives is carried out using the equivalence relations.
| 8.770679
| 7.960378
| 8.419303
| 7.586055
| 8.126828
| 8.504533
| 10.164607
| 8.318355
| 7.821771
| 7.508266
| 7.764003
| 8.716894
| 8.597513
| 8.217881
| 8.204347
| 8.115296
| 8.71393
| 8.523492
| 8.217751
| 8.391313
| 8.123852
|
hep-th/9411223
|
Franco Ferrari
|
Franco Ferrari
|
Gauge Field Theories on Riemann Surfaces
|
22 pages, Plain TeX, to appear in Helv. Phys. Acta
|
Helv.Phys.Acta 67:702-722,1994
| null |
UTF 321-94
|
hep-th
| null |
In this paper the free gauge field theories on a Riemann surface of any genus
are quantized in the covariant gauge. The propagators of the gauge fields are
explicitly derived and their properties are analysed in details. As an
application, the correlation functions of a Yang-Mills field theory with gauge
group $SU(N)$ are computed at the lowest order.
|
[
{
"created": "Tue, 29 Nov 1994 18:16:18 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Ferrari",
"Franco",
""
]
] |
In this paper the free gauge field theories on a Riemann surface of any genus are quantized in the covariant gauge. The propagators of the gauge fields are explicitly derived and their properties are analysed in details. As an application, the correlation functions of a Yang-Mills field theory with gauge group $SU(N)$ are computed at the lowest order.
| 8.238538
| 5.366257
| 7.400282
| 6.316183
| 5.851079
| 5.905034
| 5.941382
| 5.932915
| 6.239159
| 6.901329
| 6.198658
| 6.483523
| 6.928762
| 6.36524
| 6.537884
| 6.614384
| 6.382569
| 6.580363
| 6.450545
| 6.886888
| 6.480251
|
1208.4577
|
BingKan Xue
|
BingKan Xue
|
The four fixed points of scale invariant single field cosmological
models
|
24 pages, 6 figures
|
JCAP 1210 (2012) 054
|
10.1088/1475-7516/2012/10/054
| null |
hep-th astro-ph.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We introduce a new set of flow parameters to describe the time dependence of
the equation of state and the speed of sound in single field cosmological
models. A scale invariant power spectrum is produced if these flow parameters
satisfy specific dynamical equations. We analyze the flow of these parameters
and find four types of fixed points that encompass all known single field
models. Moreover, near each fixed point we uncover new models where the scale
invariance of the power spectrum relies on having simultaneously time varying
speed of sound and equation of state. We describe several distinctive new
models and discuss constraints from strong coupling and superluminality.
|
[
{
"created": "Wed, 22 Aug 2012 19:05:13 GMT",
"version": "v1"
}
] |
2015-04-14
|
[
[
"Xue",
"BingKan",
""
]
] |
We introduce a new set of flow parameters to describe the time dependence of the equation of state and the speed of sound in single field cosmological models. A scale invariant power spectrum is produced if these flow parameters satisfy specific dynamical equations. We analyze the flow of these parameters and find four types of fixed points that encompass all known single field models. Moreover, near each fixed point we uncover new models where the scale invariance of the power spectrum relies on having simultaneously time varying speed of sound and equation of state. We describe several distinctive new models and discuss constraints from strong coupling and superluminality.
| 11.402504
| 10.668033
| 11.682024
| 9.958817
| 9.889729
| 9.851455
| 11.006787
| 10.158828
| 10.944727
| 12.147663
| 10.137625
| 11.152211
| 12.730042
| 10.876171
| 10.851042
| 10.499215
| 10.603523
| 10.516674
| 10.791036
| 11.791734
| 10.294927
|
2211.13261
|
Christian Saemann
|
Leron Borsten, Branislav Jurco, Hyungrok Kim, Tommaso Macrelli,
Christian Saemann, Martin Wolf
|
Kinematic Lie Algebras From Twistor Spaces
|
v2: presentation improved, typos fixed, published version
|
Phys. Rev. Lett. 131, 041603 (2023)
|
10.1103/PhysRevLett.131.041603
|
DMUS--MP--22/23, EMPG--22--22
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyze theories with color-kinematics duality from an algebraic
perspective and find that any such theory has an underlying BV${}^{\color{gray}
\blacksquare}$-algebra structure, extending the ideas of arXiv:1912.03110.
Conversely, we show that any theory with a BV${}^{\color{gray}
\blacksquare}$-algebra features a kinematic Lie algebra that controls
interaction vertices, both on- and off-shell. We explain that the archetypal
example of a theory with BV${}^{\color{gray} \blacksquare}$-algebra is
Chern-Simons theory, for which the resulting kinematic Lie algebra is
isomorphic to the Schouten-Nijenhuis algebra on multivector fields. The
BV${}^{\color{gray} \blacksquare}$-algebra implies the known color-kinematics
duality of Chern-Simons theory. Similarly, we show that holomorphic and
Cauchy-Riemann (CR) Chern-Simons theories come with BV${}^{\color{gray}
\blacksquare}$-algebras and that, on the appropriate twistor spaces, these
theories organize and identify kinematic Lie algebras for self-dual and full
Yang-Mills theories, as well as the currents of any field theory with a
twistorial description. We show that this result extends to the loop level
under certain assumptions.
|
[
{
"created": "Wed, 23 Nov 2022 19:17:54 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Sep 2023 14:04:15 GMT",
"version": "v2"
}
] |
2023-09-22
|
[
[
"Borsten",
"Leron",
""
],
[
"Jurco",
"Branislav",
""
],
[
"Kim",
"Hyungrok",
""
],
[
"Macrelli",
"Tommaso",
""
],
[
"Saemann",
"Christian",
""
],
[
"Wolf",
"Martin",
""
]
] |
We analyze theories with color-kinematics duality from an algebraic perspective and find that any such theory has an underlying BV${}^{\color{gray} \blacksquare}$-algebra structure, extending the ideas of arXiv:1912.03110. Conversely, we show that any theory with a BV${}^{\color{gray} \blacksquare}$-algebra features a kinematic Lie algebra that controls interaction vertices, both on- and off-shell. We explain that the archetypal example of a theory with BV${}^{\color{gray} \blacksquare}$-algebra is Chern-Simons theory, for which the resulting kinematic Lie algebra is isomorphic to the Schouten-Nijenhuis algebra on multivector fields. The BV${}^{\color{gray} \blacksquare}$-algebra implies the known color-kinematics duality of Chern-Simons theory. Similarly, we show that holomorphic and Cauchy-Riemann (CR) Chern-Simons theories come with BV${}^{\color{gray} \blacksquare}$-algebras and that, on the appropriate twistor spaces, these theories organize and identify kinematic Lie algebras for self-dual and full Yang-Mills theories, as well as the currents of any field theory with a twistorial description. We show that this result extends to the loop level under certain assumptions.
| 5.729711
| 5.417571
| 6.106368
| 5.457924
| 5.660261
| 5.040548
| 5.443895
| 5.118816
| 5.327551
| 6.876863
| 5.351702
| 5.428937
| 5.958379
| 5.476685
| 5.496231
| 5.428793
| 5.40947
| 5.53909
| 5.408318
| 5.989436
| 5.362669
|
hep-th/0212101
|
Zurab Kakushadze
|
Olindo Corradini, Alberto Iglesias and Zurab Kakushadze
|
Toward Solving the Cosmological Constant Problem?
|
45 pages, revtex, 8 eps figures
|
Int.J.Mod.Phys. A18 (2003) 3221
|
10.1142/S0217751X0301509X
|
YITP-SB-02-25
|
hep-th
| null |
We discuss the cosmological constant problem in the context of higher
codimension brane world scenarios with infinite-volume extra dimensions. In
particular, by adding higher curvature terms in the bulk action we are able to
find smooth solutions with the property that the 4-dimensional part of the
brane world-volume is flat for a range of positive values of the brane tension.
|
[
{
"created": "Tue, 10 Dec 2002 01:09:25 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Corradini",
"Olindo",
""
],
[
"Iglesias",
"Alberto",
""
],
[
"Kakushadze",
"Zurab",
""
]
] |
We discuss the cosmological constant problem in the context of higher codimension brane world scenarios with infinite-volume extra dimensions. In particular, by adding higher curvature terms in the bulk action we are able to find smooth solutions with the property that the 4-dimensional part of the brane world-volume is flat for a range of positive values of the brane tension.
| 7.776195
| 5.818348
| 7.728609
| 6.224514
| 6.3862
| 5.759589
| 5.870167
| 5.910447
| 5.902865
| 7.396722
| 5.846383
| 6.537949
| 7.174595
| 6.604207
| 6.839311
| 6.461834
| 6.503712
| 6.568706
| 6.78704
| 6.878039
| 6.521537
|
1903.08664
|
Francesco Sgarlata
|
Brando Bellazzini, Francesco Riva, Javi Serra and Francesco Sgarlata
|
Massive Higher Spins: Effective Theory and Consistency
|
22 pages, 2 figures and 2 appendices; v2 improved discussion, extra
appendix and references added
| null |
10.1007/JHEP10(2019)189
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct the effective field theory for a single massive higher-spin
particle in flat spacetime. Positivity bounds of the S-matrix force the cutoff
of the theory to be well below the naive strong-coupling scale, forbid any
potential and make therefore higher-derivative operators important even at low
energy. As interesting application, we discuss in detail the massive spin-3
theory and show that an extended Galileon-like symmetry of the longitudinal
modes, even with spin, emerges at high energy.
|
[
{
"created": "Wed, 20 Mar 2019 18:00:05 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Jun 2019 18:00:00 GMT",
"version": "v2"
}
] |
2020-01-08
|
[
[
"Bellazzini",
"Brando",
""
],
[
"Riva",
"Francesco",
""
],
[
"Serra",
"Javi",
""
],
[
"Sgarlata",
"Francesco",
""
]
] |
We construct the effective field theory for a single massive higher-spin particle in flat spacetime. Positivity bounds of the S-matrix force the cutoff of the theory to be well below the naive strong-coupling scale, forbid any potential and make therefore higher-derivative operators important even at low energy. As interesting application, we discuss in detail the massive spin-3 theory and show that an extended Galileon-like symmetry of the longitudinal modes, even with spin, emerges at high energy.
| 13.36792
| 14.461094
| 14.974409
| 12.64729
| 13.887516
| 12.734889
| 11.533913
| 12.935715
| 13.073393
| 16.740562
| 13.54526
| 12.566706
| 13.744334
| 13.397226
| 12.984852
| 13.4615
| 13.62395
| 12.857557
| 13.13274
| 13.40183
| 13.079821
|
hep-th/9503090
| null |
R.P. Manvelyan, D.H. Tchrakian
|
A HIERARCHY OF GAUGED GRASSMANIAN MODELS IN $4p$ DIMENSIONS WITH
SELF-DUAL INSTANTONS
|
latex file, 13 pages
|
Phys.Lett. B352 (1995) 321-326
|
10.1016/0370-2693(95)00487-6
|
YERPHI-1436(6)-95
|
hep-th
| null |
We present a hierarchy of gauged Grassmanian models in $4p$ dimensions, where
the gauge field takes its values in the $2^{2p- 1}\times 2^{2p-1}$ chiral
representation of SO(4p). The actions of all these models are absolutely
minimised by a hierarchy of self-duality equations, all of which reduce to a
single pair of coupled ordinary differential equations when subjected to $4p$
dimensional spherical symmetry.
|
[
{
"created": "Tue, 14 Mar 1995 09:18:37 GMT",
"version": "v1"
}
] |
2019-08-17
|
[
[
"Manvelyan",
"R. P.",
""
],
[
"Tchrakian",
"D. H.",
""
]
] |
We present a hierarchy of gauged Grassmanian models in $4p$ dimensions, where the gauge field takes its values in the $2^{2p- 1}\times 2^{2p-1}$ chiral representation of SO(4p). The actions of all these models are absolutely minimised by a hierarchy of self-duality equations, all of which reduce to a single pair of coupled ordinary differential equations when subjected to $4p$ dimensional spherical symmetry.
| 10.157728
| 10.278533
| 9.738608
| 9.445108
| 9.861413
| 10.335073
| 11.527105
| 10.887034
| 10.473603
| 11.526987
| 9.953467
| 9.655959
| 9.609778
| 9.436967
| 9.504089
| 9.577848
| 9.418147
| 9.67161
| 9.701828
| 9.999631
| 9.714028
|
hep-th/0512344
|
George Savvidy K
|
G.Savvidy and T.Tsukioka
|
Gauge invariant Lagrangian for non-Abelian tensor gauge fields of fourth
rank
|
27 pages, LaTex file
|
Prog.Theor.Phys.117:729-743,2007
|
10.1143/PTP.117.729
|
NRCPS-HE-05-63
|
hep-th
| null |
Using generalized field strength tensors for non-Abelian tensor gauge fields
one can explicitly construct all possible Lorentz invariant quadratic forms for
rank-4 non-Abelian tensor gauge fields and demonstrate that there exist only
two linear combinations of them which form a gauge invariant Lagrangian.
Together with the previous construction of independent gauge invariant forms
for rank-2 and rank-3 tensor gauge fields this construction proves the
uniqueness of early proposed general Lagrangian up to rank-4 tensor fields.
Expression for the coefficients of the general Lagrangian is presented in a
compact form.
|
[
{
"created": "Thu, 29 Dec 2005 22:23:11 GMT",
"version": "v1"
},
{
"created": "Sat, 31 Dec 2005 10:43:23 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Savvidy",
"G.",
""
],
[
"Tsukioka",
"T.",
""
]
] |
Using generalized field strength tensors for non-Abelian tensor gauge fields one can explicitly construct all possible Lorentz invariant quadratic forms for rank-4 non-Abelian tensor gauge fields and demonstrate that there exist only two linear combinations of them which form a gauge invariant Lagrangian. Together with the previous construction of independent gauge invariant forms for rank-2 and rank-3 tensor gauge fields this construction proves the uniqueness of early proposed general Lagrangian up to rank-4 tensor fields. Expression for the coefficients of the general Lagrangian is presented in a compact form.
| 10.737007
| 8.988419
| 9.545243
| 8.697527
| 9.079159
| 8.810417
| 9.455031
| 9.251933
| 7.90591
| 10.218985
| 8.525565
| 9.160897
| 9.24394
| 9.278112
| 9.468358
| 8.982911
| 9.319267
| 9.113455
| 9.259359
| 9.569657
| 9.611075
|
2111.10987
|
Mohammad R. Garousi
|
Mohammad R. Garousi
|
Higher-derivative field redefinitions in the presence of boundary
|
27 pages, no figure, Latex file;v2:extend the cosmological reduction
to the general one-dimensional reduction which includes timelike or spacelike
boundary; v3:it appears in EPJC
| null |
10.1140/epjc/s10052-022-10611-7
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently it has been proposed that the consistency with T-duality requires
the effective action of string theory at order $\alpha'^n$ satisfies the least
action principle provided that the values of the massless fields and their
derivatives up to order $n$ are known on the boundary. In this paper we
speculate that this boundary condition constrains the field redefinitions and
the corrections to the T-duality transformations in the presence of boundary,
\eg at order $\alpha'$, the metric does not change, and all other massless
fields should change to include only the first derivative of the massless
fields.
Using the above field redefinitions, we write all gauge invariant bulk and
boundary couplings in the bosonic string theory at order $\alpha'$ in a minimal
scheme. Then using the assumption that the classical effective action of the
string theory at the critical dimension is background independent, we fix the
coefficients of the independent gauge invariant couplings by imposing $O(1,1)$
symmetry when the background has a circle and by imposing $O(d,d)$ symmetry
when the background has $T^d$. These constraints fix the bulk action up to an
overall factor, and the boundary action up to two parameters. By requiring the
gravity couplings in the boundary action to be consistent with those in the
Chern-Simons gravity, the two boundary parameters are also fixed. Up to the
above restricted field redefinitions, the bulk and boundary couplings are
exactly those in the K.A. Meissner action and its corresponding boundary
action.
|
[
{
"created": "Mon, 22 Nov 2021 05:05:34 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Dec 2021 09:45:27 GMT",
"version": "v2"
},
{
"created": "Tue, 19 Jul 2022 05:51:12 GMT",
"version": "v3"
}
] |
2022-08-10
|
[
[
"Garousi",
"Mohammad R.",
""
]
] |
Recently it has been proposed that the consistency with T-duality requires the effective action of string theory at order $\alpha'^n$ satisfies the least action principle provided that the values of the massless fields and their derivatives up to order $n$ are known on the boundary. In this paper we speculate that this boundary condition constrains the field redefinitions and the corrections to the T-duality transformations in the presence of boundary, \eg at order $\alpha'$, the metric does not change, and all other massless fields should change to include only the first derivative of the massless fields. Using the above field redefinitions, we write all gauge invariant bulk and boundary couplings in the bosonic string theory at order $\alpha'$ in a minimal scheme. Then using the assumption that the classical effective action of the string theory at the critical dimension is background independent, we fix the coefficients of the independent gauge invariant couplings by imposing $O(1,1)$ symmetry when the background has a circle and by imposing $O(d,d)$ symmetry when the background has $T^d$. These constraints fix the bulk action up to an overall factor, and the boundary action up to two parameters. By requiring the gravity couplings in the boundary action to be consistent with those in the Chern-Simons gravity, the two boundary parameters are also fixed. Up to the above restricted field redefinitions, the bulk and boundary couplings are exactly those in the K.A. Meissner action and its corresponding boundary action.
| 8.41216
| 8.73877
| 9.602513
| 8.26454
| 9.325018
| 8.530936
| 8.504947
| 8.474586
| 8.295622
| 11.316652
| 8.359605
| 8.496906
| 8.751831
| 8.215557
| 8.239743
| 8.351077
| 8.231619
| 8.366832
| 8.122412
| 8.561839
| 8.135281
|
hep-th/0703098
|
Sergey Solodukhin N.
|
G. W. Gibbons and S. N. Solodukhin
|
The Geometry of Small Causal Diamonds
|
17 pages, no figures; Misprints in eqs.(62), (65), (66) and (81)
corrected; a new note on page 13 (with 2 new equations) added
|
Phys.Lett.B649:317-324,2007
|
10.1016/j.physletb.2007.03.068
|
DAMTP-2007-22
|
hep-th gr-qc math.DG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The geometry of causal diamonds or Alexandrov open sets whose initial and
final events $p$ and $q$ respectively have a proper-time separation $\tau$
small compared with the curvature scale is a universal. The corrections from
flat space are given as a power series in $\tau$ whose coefficients involve the
curvature at the centre of the diamond. We give formulae for the total 4-volume
$V$ of the diamond, the area $A$ of the intersection the future light cone of
$p$ with the past light cone of $q$ and the 3-volume of the hyper-surface of
largest 3-volume bounded by this intersection valid to ${\cal O} (\tau ^4) $.
The formula for the 4-volume agrees with a previous result of Myrheim.
Remarkably, the iso-perimetric ratio ${3V_3 \over 4 \pi} / ({A \over 4 \pi})
^{3 \over 2} $ depends only on the energy density at the centre and is bigger
than unity if the energy density is positive. These results are also shown to
hold in all spacetime dimensions. Formulae are also given, valid to next
non-trivial order, for causal domains in two spacetime dimensions. We suggest a
number of applications, for instance, the directional dependence of the volume
allows one to regard the volumes of causal diamonds as an observable providing
a measurement of the Ricci tensor.
|
[
{
"created": "Fri, 9 Mar 2007 18:51:24 GMT",
"version": "v1"
},
{
"created": "Sun, 11 Mar 2007 22:44:01 GMT",
"version": "v2"
},
{
"created": "Wed, 12 Aug 2015 15:41:06 GMT",
"version": "v3"
}
] |
2015-08-13
|
[
[
"Gibbons",
"G. W.",
""
],
[
"Solodukhin",
"S. N.",
""
]
] |
The geometry of causal diamonds or Alexandrov open sets whose initial and final events $p$ and $q$ respectively have a proper-time separation $\tau$ small compared with the curvature scale is a universal. The corrections from flat space are given as a power series in $\tau$ whose coefficients involve the curvature at the centre of the diamond. We give formulae for the total 4-volume $V$ of the diamond, the area $A$ of the intersection the future light cone of $p$ with the past light cone of $q$ and the 3-volume of the hyper-surface of largest 3-volume bounded by this intersection valid to ${\cal O} (\tau ^4) $. The formula for the 4-volume agrees with a previous result of Myrheim. Remarkably, the iso-perimetric ratio ${3V_3 \over 4 \pi} / ({A \over 4 \pi}) ^{3 \over 2} $ depends only on the energy density at the centre and is bigger than unity if the energy density is positive. These results are also shown to hold in all spacetime dimensions. Formulae are also given, valid to next non-trivial order, for causal domains in two spacetime dimensions. We suggest a number of applications, for instance, the directional dependence of the volume allows one to regard the volumes of causal diamonds as an observable providing a measurement of the Ricci tensor.
| 8.22121
| 9.090006
| 8.903498
| 8.343785
| 8.768478
| 8.341818
| 8.62912
| 8.565545
| 8.15278
| 8.921194
| 8.39395
| 7.882177
| 8.036765
| 8.011379
| 8.234882
| 8.379618
| 8.232471
| 8.129815
| 7.881643
| 8.041819
| 8.076944
|
0901.4773
|
Leonardo Pati\~no
|
Leonardo Patino, G. Toledo Sanchez
|
Hadron production in electron-positron annihilation computed from the
gauge gravity correspondence
|
7 pages, 1 figure. Extended version with minor changes in emphasis
and references added
|
Phys.Rev.D80:126019,2009
|
10.1103/PhysRevD.80.126019
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We provide a non-perturbative expression for the hadron production in
electron-positron annihilation at zero temperature in a strongly coupled,
large-Nc SU(Nc) field theory with Nf << Nc quark flavors. The resulting
expressions are valid to leading order in the electromagnetic coupling constant
but non-perturbatively in the SU(Nc) interactions and the mass of the quark. We
obtain this quantity by computing the imaginary part of the hadronic vacuum
polarization function Pi_q using holographic techniques, providing an
alternative to the known method that uses the spectrum of infinitely stable
mesons determined by the normalizable modes of the appropriated fields in the
bulk. Our result exhibits a structure of poles localized at specific real
values of q^2, which coincide with the ones found using the normalizable modes,
and extends it offering the unique analytic continuation of this distribution
to a function defined for values of q^2 over the complex plane. This analytic
continuation permits to include a finite decay width for the mesons. By
comparison with experimental data we find qualitatively good agreement on the
shape of the first pole, when using the rho meson parameters and choosing a
proper normalization factor. We then estimate the contribution to the anomalous
magnetic moment of the muon finding an agreement within 25%, for this choice of
parameters.
|
[
{
"created": "Fri, 30 Jan 2009 20:50:18 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Jan 2010 07:16:25 GMT",
"version": "v2"
}
] |
2010-04-21
|
[
[
"Patino",
"Leonardo",
""
],
[
"Sanchez",
"G. Toledo",
""
]
] |
We provide a non-perturbative expression for the hadron production in electron-positron annihilation at zero temperature in a strongly coupled, large-Nc SU(Nc) field theory with Nf << Nc quark flavors. The resulting expressions are valid to leading order in the electromagnetic coupling constant but non-perturbatively in the SU(Nc) interactions and the mass of the quark. We obtain this quantity by computing the imaginary part of the hadronic vacuum polarization function Pi_q using holographic techniques, providing an alternative to the known method that uses the spectrum of infinitely stable mesons determined by the normalizable modes of the appropriated fields in the bulk. Our result exhibits a structure of poles localized at specific real values of q^2, which coincide with the ones found using the normalizable modes, and extends it offering the unique analytic continuation of this distribution to a function defined for values of q^2 over the complex plane. This analytic continuation permits to include a finite decay width for the mesons. By comparison with experimental data we find qualitatively good agreement on the shape of the first pole, when using the rho meson parameters and choosing a proper normalization factor. We then estimate the contribution to the anomalous magnetic moment of the muon finding an agreement within 25%, for this choice of parameters.
| 10.680408
| 11.375978
| 11.733549
| 10.463395
| 11.520553
| 11.922427
| 10.254652
| 11.507743
| 10.372653
| 13.141579
| 10.374939
| 10.342127
| 10.436226
| 10.164176
| 10.215177
| 10.452557
| 10.351593
| 10.57416
| 10.427488
| 10.889373
| 10.506832
|
1306.4914
|
Amjad Ashoorioon
|
Amjad Ashoorioon, Konstantinos Dimopoulos, M. M. Sheikh-Jabbari and
Gary Shiu
|
Reconciliation of High Energy Scale Models of Inflation with Planck
|
v1: 5 pages, 1 figure; v2: added references; v3: matched the
published version
|
JCAP02(2014)025
|
10.1088/1475-7516/2014/02/025
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The inflationary cosmology paradigm is very successful in explaining the CMB
anisotropy to the percent level. Besides the dependence on the inflationary
model, the power spectra, spectral tilt and non-Gaussianity of the CMB
temperature fluctuations also depend on the initial state of inflation. Here,
we examine to what extent these observables are affected by our ignorance in
the initial condition for inflationary perturbations, due to unknown new
physics at a high scale $M$. For initial states that satisfy constraints from
backreaction, we find that the amplitude of the power spectra could still be
significantly altered, while the modification in bispectrum remains small. For
such initial states, $M$ has an upper bound of a few tens of $H$, with $H$
being the Hubble parameter during inflation. We show that for $M\sim 20 H$,
such initial states always (substantially) suppress the tensor to scalar ratio.
In particular we show that a general choice of initial conditions can
satisfactorily reconcile the simple $1/2 m^2 \phi^2$ chaotic model with the
Planck data.
|
[
{
"created": "Thu, 20 Jun 2013 15:37:04 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Jul 2013 16:27:12 GMT",
"version": "v2"
},
{
"created": "Thu, 6 Feb 2014 13:26:42 GMT",
"version": "v3"
}
] |
2014-02-18
|
[
[
"Ashoorioon",
"Amjad",
""
],
[
"Dimopoulos",
"Konstantinos",
""
],
[
"Sheikh-Jabbari",
"M. M.",
""
],
[
"Shiu",
"Gary",
""
]
] |
The inflationary cosmology paradigm is very successful in explaining the CMB anisotropy to the percent level. Besides the dependence on the inflationary model, the power spectra, spectral tilt and non-Gaussianity of the CMB temperature fluctuations also depend on the initial state of inflation. Here, we examine to what extent these observables are affected by our ignorance in the initial condition for inflationary perturbations, due to unknown new physics at a high scale $M$. For initial states that satisfy constraints from backreaction, we find that the amplitude of the power spectra could still be significantly altered, while the modification in bispectrum remains small. For such initial states, $M$ has an upper bound of a few tens of $H$, with $H$ being the Hubble parameter during inflation. We show that for $M\sim 20 H$, such initial states always (substantially) suppress the tensor to scalar ratio. In particular we show that a general choice of initial conditions can satisfactorily reconcile the simple $1/2 m^2 \phi^2$ chaotic model with the Planck data.
| 8.580808
| 8.814672
| 8.758867
| 8.087107
| 8.568964
| 9.130348
| 9.036272
| 8.780167
| 8.387632
| 8.979866
| 8.722353
| 8.596188
| 8.346767
| 8.123657
| 8.589509
| 8.317324
| 8.291618
| 8.235543
| 8.180855
| 8.491084
| 8.320699
|
1407.0306
|
Andrea Amoretti
|
Andrea Amoretti, Alessandro Braggio, Nicola Maggiore, Nicodemo Magnoli
and Daniele Musso
|
Analytic DC thermo-electric conductivities in holography with massive
gravitons
|
9 pages, no figures, minor comments added, version to appear on PRD
|
Phys. Rev. D 91 (2015), 025002
|
10.1103/PhysRevD.91.025002
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We provide an analytical derivation of the thermo-electric transport
coefficients of the simplest momentum-dissipating model in gauge/gravity where
the lack of momentum conservation is realized by means of explicit graviton
mass in the bulk. We rely on the procedure recently described by Donos and
Gauntlett in the context of Q-lattices and holographic models where momentum
dissipation is realized through non-trivial scalars. The analytical approach
confirms the results found previously by means of numerical computations.
|
[
{
"created": "Tue, 1 Jul 2014 16:24:12 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Dec 2014 10:16:33 GMT",
"version": "v2"
}
] |
2015-01-09
|
[
[
"Amoretti",
"Andrea",
""
],
[
"Braggio",
"Alessandro",
""
],
[
"Maggiore",
"Nicola",
""
],
[
"Magnoli",
"Nicodemo",
""
],
[
"Musso",
"Daniele",
""
]
] |
We provide an analytical derivation of the thermo-electric transport coefficients of the simplest momentum-dissipating model in gauge/gravity where the lack of momentum conservation is realized by means of explicit graviton mass in the bulk. We rely on the procedure recently described by Donos and Gauntlett in the context of Q-lattices and holographic models where momentum dissipation is realized through non-trivial scalars. The analytical approach confirms the results found previously by means of numerical computations.
| 11.814532
| 9.937485
| 16.011562
| 9.982913
| 10.225175
| 10.060299
| 10.537501
| 10.522019
| 10.911002
| 16.84483
| 9.481053
| 11.138435
| 11.3946
| 11.020965
| 11.434434
| 10.636134
| 10.454987
| 10.428658
| 11.028622
| 11.17868
| 10.456984
|
hep-th/9301078
| null |
Alain Dasnieres de Veigy and Stephane Ouvry
|
Topological 2-Dimensional Quantum Mechanics
|
18 pages, Orsay Report IPNO/TH 92-101
|
Phys.Lett. B307 (1993) 91-99
|
10.1016/0370-2693(93)90197-P
| null |
hep-th
| null |
We define a Chern- Simons Lagrangian for a system of planar particles
topologically interacting at a distance. The anyon model appears as a
particular case where all the particles are identical. We propose exact N-body
eigenstates, set up a perturbative algorithm, discuss the case where some
particles are fixed on a lattice, and also consider curved manifolds. PACS
numbers: 05.30.-d, 11.10.-z
|
[
{
"created": "Tue, 19 Jan 1993 10:45:13 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Jan 1993 11:54:47 GMT",
"version": "v2"
}
] |
2009-10-22
|
[
[
"de Veigy",
"Alain Dasnieres",
""
],
[
"Ouvry",
"Stephane",
""
]
] |
We define a Chern- Simons Lagrangian for a system of planar particles topologically interacting at a distance. The anyon model appears as a particular case where all the particles are identical. We propose exact N-body eigenstates, set up a perturbative algorithm, discuss the case where some particles are fixed on a lattice, and also consider curved manifolds. PACS numbers: 05.30.-d, 11.10.-z
| 12.517934
| 13.427202
| 13.242963
| 11.857196
| 12.684191
| 12.773008
| 12.363707
| 11.540682
| 11.884754
| 14.264151
| 11.330975
| 12.254091
| 13.00451
| 11.867624
| 12.64786
| 12.357665
| 12.463728
| 12.275064
| 12.227542
| 13.170897
| 12.672176
|
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