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|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1903.04718
|
Toshihiro Ota
|
Tetsuya Akutagawa, Koji Hashimoto, Keiju Murata, Toshihiro Ota
|
Chaos of QCD string from holography
|
12 pages, 13 figures
|
Phys. Rev. D 100, 046009 (2019)
|
10.1103/PhysRevD.100.046009
|
OU-HET-1000
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is challenging to quantify chaos of QCD, because non-perturbative QCD
accompanies non-local observables. By using holography, we find that QCD
strings at large $N_c$ and strong coupling limit exhibit chaos, and measure
their Lyapunov exponent at zero temperature. A pair of a quark and an antiquark
separated by $L_q$ in the large $N_c$ QCD is dual to a Nambu-Goto string
hanging from the spatial boundary of the D4-soliton geometry. We numerically
solve the motion of the string after putting a pulse force on its boundaries.
The chaos is observed for the amplitude of the force larger than a certain
lower bound. The bound increases as $L_q$ grows, and its dependence is well
approximated by a hypothesis that the chaos originates in the endpoints of the
QCD string.
|
[
{
"created": "Tue, 12 Mar 2019 04:02:35 GMT",
"version": "v1"
}
] |
2019-08-14
|
[
[
"Akutagawa",
"Tetsuya",
""
],
[
"Hashimoto",
"Koji",
""
],
[
"Murata",
"Keiju",
""
],
[
"Ota",
"Toshihiro",
""
]
] |
It is challenging to quantify chaos of QCD, because non-perturbative QCD accompanies non-local observables. By using holography, we find that QCD strings at large $N_c$ and strong coupling limit exhibit chaos, and measure their Lyapunov exponent at zero temperature. A pair of a quark and an antiquark separated by $L_q$ in the large $N_c$ QCD is dual to a Nambu-Goto string hanging from the spatial boundary of the D4-soliton geometry. We numerically solve the motion of the string after putting a pulse force on its boundaries. The chaos is observed for the amplitude of the force larger than a certain lower bound. The bound increases as $L_q$ grows, and its dependence is well approximated by a hypothesis that the chaos originates in the endpoints of the QCD string.
| 9.538869
| 9.959513
| 10.128135
| 9.624085
| 9.028641
| 9.581627
| 9.159441
| 9.45913
| 9.325275
| 11.112879
| 9.059866
| 9.52046
| 9.405906
| 9.477714
| 9.809637
| 9.932324
| 9.740308
| 10.006669
| 9.211798
| 9.655137
| 9.32055
|
1306.1734
|
Marcos Marino
|
Yasuyuki Hatsuda, Marcos Marino, Sanefumi Moriyama and Kazumi Okuyama
|
Non-perturbative effects and the refined topological string
|
38 pages, 5 figures
| null |
10.1007/JHEP09(2014)168
|
DESY 13-096, TIT/HEP-627
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The partition function of ABJM theory on the three-sphere has
non-perturbative corrections due to membrane instantons in the M-theory dual.
We show that the full series of membrane instanton corrections is completely
determined by the refined topological string on the Calabi-Yau manifold known
as local P1xP1, in the Nekrasov-Shatashvili limit. Our result can be
interpreted as a first-principles derivation of the full series of
non-perturbative effects for the closed topological string on this Calabi-Yau
background. Based on this, we make a proposal for the non-perturbative free
energy of topological strings on general, local Calabi-Yau manifolds.
|
[
{
"created": "Fri, 7 Jun 2013 14:11:30 GMT",
"version": "v1"
}
] |
2015-06-16
|
[
[
"Hatsuda",
"Yasuyuki",
""
],
[
"Marino",
"Marcos",
""
],
[
"Moriyama",
"Sanefumi",
""
],
[
"Okuyama",
"Kazumi",
""
]
] |
The partition function of ABJM theory on the three-sphere has non-perturbative corrections due to membrane instantons in the M-theory dual. We show that the full series of membrane instanton corrections is completely determined by the refined topological string on the Calabi-Yau manifold known as local P1xP1, in the Nekrasov-Shatashvili limit. Our result can be interpreted as a first-principles derivation of the full series of non-perturbative effects for the closed topological string on this Calabi-Yau background. Based on this, we make a proposal for the non-perturbative free energy of topological strings on general, local Calabi-Yau manifolds.
| 4.126149
| 3.95648
| 6.302338
| 4.190354
| 4.203156
| 4.085031
| 4.061755
| 3.903171
| 4.226048
| 5.490764
| 4.129142
| 4.184379
| 4.608846
| 4.067402
| 4.23401
| 4.379722
| 4.330308
| 4.227266
| 4.111035
| 4.679012
| 4.107596
|
hep-th/0009180
|
Miele Gennaro
|
Fedele Lizzi, Gianpiero Mangano and Gennaro Miele
|
Another Alternative to Compactification: Noncommutative Geometry and
Randall-Sundrum Models
|
7 pages, LaTeX
|
Mod.Phys.Lett. A16 (2001) 1-8
|
10.1142/S021773230100305X
|
DSF 29/2000
|
hep-th hep-ph math-ph math.MP
| null |
We observe that the main feature of the Randall-Sundrum model, used to solve
the hierarchy problem, is already present in a class of Yang-Mills plus gravity
theories inspired by noncommutative geometry. Strikingly the same expression
for the Higgs potential is found in two models which have no apparent
connection. Some speculations concerning the possible relationships are given.
|
[
{
"created": "Fri, 22 Sep 2000 15:05:12 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Lizzi",
"Fedele",
""
],
[
"Mangano",
"Gianpiero",
""
],
[
"Miele",
"Gennaro",
""
]
] |
We observe that the main feature of the Randall-Sundrum model, used to solve the hierarchy problem, is already present in a class of Yang-Mills plus gravity theories inspired by noncommutative geometry. Strikingly the same expression for the Higgs potential is found in two models which have no apparent connection. Some speculations concerning the possible relationships are given.
| 12.8712
| 10.949514
| 11.607831
| 11.117387
| 10.502707
| 11.863149
| 10.974732
| 10.531707
| 11.059492
| 12.48938
| 10.591334
| 10.68619
| 10.795012
| 10.679436
| 10.315516
| 10.558442
| 10.704877
| 10.674584
| 11.041911
| 10.483874
| 10.649595
|
1509.08370
|
Ahmad Mohamadnejad
|
Ahmad Mohamadnejad
|
Reformulation of the Georgi-Glashow model and some constraints on its
classical fields
|
17 pages
|
Phys. Rev. D 92, 125029 (2015)
|
10.1103/PhysRevD.92.125029
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the SU(2) Georgi-Glashow model and suggest a decomposition for its
fields and obtain a Lagrangian based on new variables. We use Cho's restricted
decomposition as a result of a vacuum condition of the Georgi-Glashow model.
This model with no external sources leads us to the Cho extended decomposition.
We interpret the puzzling field, $ \textbf{n} $, in Cho's decomposition as the
color direction of the scalar field in the Georgi-Glashow model. We also study
another constraint, condensate phase, and generalize Cho's extended
decomposition. Finally, we argue about a decomposition form that Faddeev and
Niemi proposed in this constrained Georgi-Glashow model.
|
[
{
"created": "Mon, 28 Sep 2015 15:50:09 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Jan 2016 17:13:02 GMT",
"version": "v2"
}
] |
2016-01-11
|
[
[
"Mohamadnejad",
"Ahmad",
""
]
] |
We study the SU(2) Georgi-Glashow model and suggest a decomposition for its fields and obtain a Lagrangian based on new variables. We use Cho's restricted decomposition as a result of a vacuum condition of the Georgi-Glashow model. This model with no external sources leads us to the Cho extended decomposition. We interpret the puzzling field, $ \textbf{n} $, in Cho's decomposition as the color direction of the scalar field in the Georgi-Glashow model. We also study another constraint, condensate phase, and generalize Cho's extended decomposition. Finally, we argue about a decomposition form that Faddeev and Niemi proposed in this constrained Georgi-Glashow model.
| 15.551729
| 15.431607
| 15.87749
| 16.168434
| 17.05315
| 15.576629
| 15.591312
| 15.051682
| 15.577854
| 17.33182
| 14.711113
| 16.050016
| 15.618609
| 15.507148
| 15.146579
| 15.801147
| 15.956849
| 15.977259
| 15.440716
| 16.104116
| 15.470147
|
1105.3172
|
Zheng Sun
|
Zheng Sun
|
Vacuum statistics and parameter tuning for F-term supersymmetry breaking
|
18 pages, 1 figure; v2: add references, published version
|
JHEP 1109:107,2011
|
10.1007/JHEP09(2011)107
|
TIFR/TH/11-22
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We carry out a model-independent EFT method study on the vacuum statistics of
general F-term SUSY breaking models. Assuming a smooth distribution of
Lagrangian parameters, SUSY breaking vacua are rare in global SUSY models with
a canonical K\"ahler potential, and have a peaked distribution near the cut-off
of the SUSY breaking scale in both global SUSY and SUGRA models with a general
K\"ahler potential. After including different mass scales in the Lagrangian, we
compare the total number of SUSY and non-SUSY vacua and estimate quantitatively
the rareness of SUSY breaking. The EFT method provides a general view to the
amount of parameter tuning needed for a metastable SUSY breaking vacuum. The
tuning also indicates the importance of R-symmetries in SUSY breaking even for
metastable SUSY breaking.
|
[
{
"created": "Mon, 16 May 2011 18:49:10 GMT",
"version": "v1"
},
{
"created": "Sun, 27 Nov 2011 19:17:25 GMT",
"version": "v2"
}
] |
2013-10-08
|
[
[
"Sun",
"Zheng",
""
]
] |
We carry out a model-independent EFT method study on the vacuum statistics of general F-term SUSY breaking models. Assuming a smooth distribution of Lagrangian parameters, SUSY breaking vacua are rare in global SUSY models with a canonical K\"ahler potential, and have a peaked distribution near the cut-off of the SUSY breaking scale in both global SUSY and SUGRA models with a general K\"ahler potential. After including different mass scales in the Lagrangian, we compare the total number of SUSY and non-SUSY vacua and estimate quantitatively the rareness of SUSY breaking. The EFT method provides a general view to the amount of parameter tuning needed for a metastable SUSY breaking vacuum. The tuning also indicates the importance of R-symmetries in SUSY breaking even for metastable SUSY breaking.
| 10.825672
| 10.329757
| 10.365328
| 9.531151
| 9.945489
| 10.180129
| 10.025663
| 10.115749
| 9.726489
| 11.404716
| 10.624142
| 10.141328
| 10.250837
| 9.807904
| 10.082151
| 9.947223
| 10.374231
| 10.313945
| 9.876639
| 10.235023
| 10.161668
|
0812.0526
|
El Hassan Saidi
|
Lalla Btissam Drissi, Houda Jehjouh, El Hassan Saidi
|
Topological String on Toric CY3s in Large Complex Structure Limit
|
Latex, 38 pages, 12 figures. To appear in Nucl Phys B
|
Nucl.Phys.B813:315-348,2009
|
10.1016/j.nuclphysb.2008.11.030
|
Lab/UFR-HEP-0807-GNPHE-0807
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We develop a non planar topological vertex formalism and we use it to study
the A-model partition function $\mathcal{Z}_{top}$ of topological string on the
class of toric Calabi-Yau threefolds (CY3) in large complex structure limit. To
that purpose, we first consider the $T^{2}\times R$ special Lagrangian
fibration of generic CY3-folds and we give the realization of the class of
large $\mu $ toric CY3-folds in terms of supersymmetric gauged linear sigma
model with \emph{non zero} gauge invariant superpotentials $% \mathcal{W}(\Phi
) $. Then, we focus on a one complex parameter supersymmetric $U(1) $ gauged
model involving six chiral superfields ${\Phi_{i}}$ with $\mathcal{W}=\mu
(\prod\nolimits_{i=0}^{5}\Phi_{i}) $ and we use it to compute the function
$\mathcal{Z}_{top}$ for the case of the local elliptic curve in the limit $\mu
\to \infty $.
|
[
{
"created": "Tue, 2 Dec 2008 15:03:43 GMT",
"version": "v1"
}
] |
2009-03-12
|
[
[
"Drissi",
"Lalla Btissam",
""
],
[
"Jehjouh",
"Houda",
""
],
[
"Saidi",
"El Hassan",
""
]
] |
We develop a non planar topological vertex formalism and we use it to study the A-model partition function $\mathcal{Z}_{top}$ of topological string on the class of toric Calabi-Yau threefolds (CY3) in large complex structure limit. To that purpose, we first consider the $T^{2}\times R$ special Lagrangian fibration of generic CY3-folds and we give the realization of the class of large $\mu $ toric CY3-folds in terms of supersymmetric gauged linear sigma model with \emph{non zero} gauge invariant superpotentials $% \mathcal{W}(\Phi ) $. Then, we focus on a one complex parameter supersymmetric $U(1) $ gauged model involving six chiral superfields ${\Phi_{i}}$ with $\mathcal{W}=\mu (\prod\nolimits_{i=0}^{5}\Phi_{i}) $ and we use it to compute the function $\mathcal{Z}_{top}$ for the case of the local elliptic curve in the limit $\mu \to \infty $.
| 7.127643
| 7.466614
| 8.000841
| 7.02085
| 7.667835
| 7.630383
| 7.129662
| 7.259983
| 7.151685
| 8.773981
| 7.473907
| 6.898154
| 7.190352
| 6.901628
| 7.010461
| 7.186617
| 7.082585
| 6.914777
| 6.903691
| 6.929185
| 6.941506
|
hep-th/0201055
|
Lee Hyun Min
|
Kang-Sin Choi, Jihn E. Kim and Hyun Min Lee (Seoul National
University)
|
Dual Description of Brane World Cosmological Constant with $H_{MNPQ}$
|
Latex file of 8 pages including 6 eps figures, to appear in Journal
of the Korean Physical Society (March 2002)
|
J.KoreanPhys.Soc.40:207-213,2002
| null | null |
hep-th
| null |
We present a short review of the recent 5D self-tuning solution of the
cosmological constant problem with $1/H^2$ term, and present the dual
description of the solution. In the dual description, we show that the presence
of the coupling of the dual field($\sigma$) to the brane(which is a bit
different from the original theory) maintains the self-tuning property.
|
[
{
"created": "Wed, 9 Jan 2002 08:47:40 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Choi",
"Kang-Sin",
"",
"Seoul National\n University"
],
[
"Kim",
"Jihn E.",
"",
"Seoul National\n University"
],
[
"Lee",
"Hyun Min",
"",
"Seoul National\n University"
]
] |
We present a short review of the recent 5D self-tuning solution of the cosmological constant problem with $1/H^2$ term, and present the dual description of the solution. In the dual description, we show that the presence of the coupling of the dual field($\sigma$) to the brane(which is a bit different from the original theory) maintains the self-tuning property.
| 11.928275
| 10.387034
| 10.66116
| 9.472673
| 10.605745
| 9.197065
| 10.749414
| 10.075015
| 8.972063
| 11.027559
| 9.551572
| 9.628841
| 10.873324
| 10.333363
| 10.322336
| 10.198227
| 10.305752
| 10.231703
| 9.821338
| 10.435401
| 10.492153
|
2209.05868
|
Edwan Pr\'eau
|
M. J\"arvinen, E. Kiritsis, F. Nitti and E. Pr\'eau
|
Tachyon-dependent Chern-Simons terms and the V-QCD Baryon
|
42 pages + Appendix, 2 figures, Accepted for publication in JHEP
| null |
10.1007/JHEP12(2022)160
|
CCTP-2022-4, ITCP-2022/2, APCTP Pre2022 - 020
|
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
The structure of the five-dimensional Tachyon-Chern-Simons action and its
relevance to single-baryon states in the context of the V-QCD models for
holographic QCD with backreacting flavor are analyzed. The most general form of
the Tachyon-Chern-Simons 5-form, compatible with symmetries and flavor
anomalies is determined. It is the sum of a non-trivial gauge-invariant
5-dimensional form and a non-invariant closed 5-form that reproduces the flavor
anomalies. Single-baryon solutions of the gravity theory, arising from the DBI
plus Tachyon-Chern-Simons actions are considered. The baryon is realised as a
bulk axial instanton. The baryon ansatz and the field equations are derived and
the boundary conditions are determined, which ensure that the solution has
finite boundary energy and unit baryon charge. The boundary baryon number,
which is computed from the universal (closed) part of the Tachyon-Chern-Simons
action, is shown to coincide with the bulk axial instanton number.
|
[
{
"created": "Tue, 13 Sep 2022 10:31:06 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Dec 2022 12:37:58 GMT",
"version": "v2"
}
] |
2023-01-18
|
[
[
"Järvinen",
"M.",
""
],
[
"Kiritsis",
"E.",
""
],
[
"Nitti",
"F.",
""
],
[
"Préau",
"E.",
""
]
] |
The structure of the five-dimensional Tachyon-Chern-Simons action and its relevance to single-baryon states in the context of the V-QCD models for holographic QCD with backreacting flavor are analyzed. The most general form of the Tachyon-Chern-Simons 5-form, compatible with symmetries and flavor anomalies is determined. It is the sum of a non-trivial gauge-invariant 5-dimensional form and a non-invariant closed 5-form that reproduces the flavor anomalies. Single-baryon solutions of the gravity theory, arising from the DBI plus Tachyon-Chern-Simons actions are considered. The baryon is realised as a bulk axial instanton. The baryon ansatz and the field equations are derived and the boundary conditions are determined, which ensure that the solution has finite boundary energy and unit baryon charge. The boundary baryon number, which is computed from the universal (closed) part of the Tachyon-Chern-Simons action, is shown to coincide with the bulk axial instanton number.
| 8.470728
| 8.980391
| 8.856336
| 8.293246
| 8.416181
| 8.275393
| 8.317687
| 8.288103
| 8.424734
| 9.285115
| 7.868064
| 8.49206
| 8.569036
| 8.338917
| 8.030207
| 8.350408
| 8.1967
| 8.087109
| 8.14714
| 8.496432
| 8.238703
|
1806.05774
|
Ashish Shukla
|
Pavel Kovtun and Ashish Shukla
|
Kubo formulas for thermodynamic transport coefficients
|
v1: 21 pages, 1 figure; v2: footnotes added, version published in
JHEP
|
JHEP10(2018)007
|
10.1007/JHEP10(2018)007
| null |
hep-th hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Uncharged relativistic fluids in 3+1 dimensions have three independent
thermodynamic transport coefficients at second order in the derivative
expansion. Fluids with a single global $U(1)$ current have nine, out of which
seven are parity preserving. We derive the Kubo formulas for all nine
thermodynamic transport coefficients in terms of equilibrium correlation
functions of the energy-momentum tensor and the current. All parity-preserving
coefficients can be expressed in terms of two-point functions in flat space
without external sources, while the parity-violating coefficients require
three-point functions. We use the Kubo formulas to compute the thermodynamic
coefficients in several examples of free field theories.
|
[
{
"created": "Fri, 15 Jun 2018 00:19:48 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Oct 2018 19:08:21 GMT",
"version": "v2"
}
] |
2018-10-05
|
[
[
"Kovtun",
"Pavel",
""
],
[
"Shukla",
"Ashish",
""
]
] |
Uncharged relativistic fluids in 3+1 dimensions have three independent thermodynamic transport coefficients at second order in the derivative expansion. Fluids with a single global $U(1)$ current have nine, out of which seven are parity preserving. We derive the Kubo formulas for all nine thermodynamic transport coefficients in terms of equilibrium correlation functions of the energy-momentum tensor and the current. All parity-preserving coefficients can be expressed in terms of two-point functions in flat space without external sources, while the parity-violating coefficients require three-point functions. We use the Kubo formulas to compute the thermodynamic coefficients in several examples of free field theories.
| 7.004178
| 5.633693
| 6.964991
| 5.690648
| 6.027613
| 5.714799
| 5.681966
| 5.506737
| 5.514953
| 6.4003
| 5.575153
| 5.460334
| 6.105519
| 5.634173
| 5.442728
| 5.790206
| 5.585409
| 5.696788
| 5.72638
| 6.346177
| 5.882025
|
1611.04935
|
Ruth Gregory
|
Ruth Gregory and Ian G. Moss
|
The Fate of the Higgs Vacuum
|
6 pages, 2 figures. Talk presented at ICHEP2016, 38th International
Conference on High Energy Physics, 3-10 August 2016, Chicago, USA. To appear
in the conference proceedings
| null | null |
DCPT-16/47
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This talk reviews our recent work showing how tiny black holes can act as
nucleation sites for the decay of the metastable Higgs vacuum. We start by
discussing the formation of thin wall bubbles of true vacuum inside a false
vacuum, and show how adding a black hole lowers the action of the Euclidean
tunneling solution, thus strongly enhancing the probability of vacuum decay. We
then review numerical results for the Higgs vacuum showing that the decay rate
is even higher for these "thick wall" bubbles. The results imply either tiny
black holes are not a component of our universe, or BSM corrections to the
Higgs potential must stabilise our vacuum.
|
[
{
"created": "Tue, 15 Nov 2016 17:03:20 GMT",
"version": "v1"
}
] |
2016-11-16
|
[
[
"Gregory",
"Ruth",
""
],
[
"Moss",
"Ian G.",
""
]
] |
This talk reviews our recent work showing how tiny black holes can act as nucleation sites for the decay of the metastable Higgs vacuum. We start by discussing the formation of thin wall bubbles of true vacuum inside a false vacuum, and show how adding a black hole lowers the action of the Euclidean tunneling solution, thus strongly enhancing the probability of vacuum decay. We then review numerical results for the Higgs vacuum showing that the decay rate is even higher for these "thick wall" bubbles. The results imply either tiny black holes are not a component of our universe, or BSM corrections to the Higgs potential must stabilise our vacuum.
| 11.772856
| 10.161065
| 11.926384
| 10.200436
| 10.528378
| 11.946487
| 11.339739
| 10.505309
| 10.266883
| 13.112372
| 10.415595
| 10.776541
| 11.532952
| 10.95511
| 10.620439
| 10.89959
| 11.338487
| 10.579453
| 10.64463
| 11.680243
| 10.538531
|
hep-th/0308113
|
Alexey Selivanov B.
|
V. D. Ivashchuk, V. N. Melnikov, A.B. Selivanov
|
Cosmological solutions in multidimensional model with multiple
exponential potential
|
22 pages, 1 figure
|
JHEP 0309 (2003) 059
|
10.1088/1126-6708/2003/09/059
| null |
hep-th
| null |
A family of cosmological solutions with $(n+1)$ Ricci-flat spaces in the
theory with several scalar fields and multiple exponential potential is
obtained when coupling vectors in exponents obey certain relations. Two
subclasses of solutions with power-law and exponential behaviour of scale
factors are singled out. It is proved that power-law solutions may take place
only when coupling vectors are linearly independent and exponential dependence
occurs for linearly dependent set of coupling vectors. A subfamily of solutions
with accelerated expansion is singled out. A generalized isotropization
behaviours of certain classes of general solutions are found. In quantum case
exact solutions to Wheeler-DeWitt equation are obtained and special "ground
state" wave functions are considered.
|
[
{
"created": "Mon, 18 Aug 2003 16:39:45 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Sep 2003 14:39:06 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Ivashchuk",
"V. D.",
""
],
[
"Melnikov",
"V. N.",
""
],
[
"Selivanov",
"A. B.",
""
]
] |
A family of cosmological solutions with $(n+1)$ Ricci-flat spaces in the theory with several scalar fields and multiple exponential potential is obtained when coupling vectors in exponents obey certain relations. Two subclasses of solutions with power-law and exponential behaviour of scale factors are singled out. It is proved that power-law solutions may take place only when coupling vectors are linearly independent and exponential dependence occurs for linearly dependent set of coupling vectors. A subfamily of solutions with accelerated expansion is singled out. A generalized isotropization behaviours of certain classes of general solutions are found. In quantum case exact solutions to Wheeler-DeWitt equation are obtained and special "ground state" wave functions are considered.
| 14.976391
| 12.232295
| 13.770936
| 11.715
| 12.659435
| 12.011554
| 12.155532
| 11.111973
| 13.082899
| 13.660316
| 12.861522
| 14.038589
| 13.92205
| 13.928487
| 13.844347
| 13.688655
| 13.713719
| 13.261839
| 14.368449
| 13.696963
| 14.004461
|
1306.2643
|
D. S. Berman
|
David S. Berman and Daniel C. Thompson
|
Duality Symmetric String and M-Theory
|
Review article. 122 pages. V2 Published Version in Physics Reports
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review recent developments in duality symmetric string theory. We begin
with the world sheet doubled formalism which describes strings in an extended
space time with extra coordinates conjugate to winding modes. This formalism is
T-duality symmetric and can accommodate non-geometric T-fold backgrounds which
are beyond the scope of Riemannian geometry. Vanishing of the conformal anomaly
of this theory can be interpreted as a set of spacetime equations for the
background fields. These equations follow from an action principle that has
been dubbed Double Field Theory (DFT). We review the aspects of generalised
geometry relevant for DFT. We outline recent extensions of DFT and explain how,
by relaxing the so-called strong constraint with a Scherk Schwarz ansatz, one
can obtain backgrounds that simultaneously depend on both the regular and
T-dual coordinates. This provides a purely geometric higher dimensional origin
to gauged supergravities that arise from non-geometric compactification. We
then turn to M-theory and describe recent progress in formulating an E_{n(n)}
U-duality covariant description of the dynamics. We describe how spacetime may
be extended to accommodate coordinates conjugate to brane wrapping modes and
the construction of generalised metrics in this extend space that unite the
bosonic fields of supergravity into a single object. We review the action
principles for these theories and their novel gauge symmetries. We also
describe how a Scherk Schwarz reduction can be applied in the M-theory context
and the resulting relationship to the embedding tensor formulation of maximal
gauged supergravities.
|
[
{
"created": "Tue, 11 Jun 2013 20:03:02 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Dec 2014 08:17:01 GMT",
"version": "v2"
}
] |
2014-12-10
|
[
[
"Berman",
"David S.",
""
],
[
"Thompson",
"Daniel C.",
""
]
] |
We review recent developments in duality symmetric string theory. We begin with the world sheet doubled formalism which describes strings in an extended space time with extra coordinates conjugate to winding modes. This formalism is T-duality symmetric and can accommodate non-geometric T-fold backgrounds which are beyond the scope of Riemannian geometry. Vanishing of the conformal anomaly of this theory can be interpreted as a set of spacetime equations for the background fields. These equations follow from an action principle that has been dubbed Double Field Theory (DFT). We review the aspects of generalised geometry relevant for DFT. We outline recent extensions of DFT and explain how, by relaxing the so-called strong constraint with a Scherk Schwarz ansatz, one can obtain backgrounds that simultaneously depend on both the regular and T-dual coordinates. This provides a purely geometric higher dimensional origin to gauged supergravities that arise from non-geometric compactification. We then turn to M-theory and describe recent progress in formulating an E_{n(n)} U-duality covariant description of the dynamics. We describe how spacetime may be extended to accommodate coordinates conjugate to brane wrapping modes and the construction of generalised metrics in this extend space that unite the bosonic fields of supergravity into a single object. We review the action principles for these theories and their novel gauge symmetries. We also describe how a Scherk Schwarz reduction can be applied in the M-theory context and the resulting relationship to the embedding tensor formulation of maximal gauged supergravities.
| 7.998652
| 8.485197
| 9.828471
| 7.779202
| 8.346045
| 8.066875
| 8.533067
| 7.770472
| 7.842079
| 10.324561
| 7.788134
| 8.058287
| 8.489001
| 7.931465
| 7.970926
| 8.098907
| 7.897763
| 7.902088
| 7.841712
| 8.486103
| 7.832684
|
1601.00231
|
Robert Brandenberger
|
Robert H. Brandenberger, Yi-Fu Cai, Sumit R. Das, Elisa G.M. Ferreira,
Ian A. Morrison, Yi Wang
|
Fluctuations in a Cosmology with a Space-Like Singularity and their
Gauge Theory Dual Description
|
19 pages, 3 figures, wording in the introductory section modified
|
Phys. Rev. D 94, 083508 (2016)
|
10.1103/PhysRevD.94.083508
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a time-dependent deformation of anti-de-Sitter (AdS) space-time
which contains a cosmological "singularity" - a space-like region of high
curvature. Making use of the AdS/CFT correspondence we can map the bulk
dynamics onto the boundary. The boundary theory has a time dependent coupling
constant which becomes small at times when the bulk space-time is highly
curved. We investigate the propagation of small fluctuations of a test scalar
field from early times before the bulk singularity to late times after the
singularity. Under the assumption that the AdS/CFT correspondence extends to
deformed AdS space-times, we can map the bulk evolution of the scalar field
onto the evolution of the boundary gauge field. The time evolution of
linearized fluctuations is well defined in the boundary theory as long as the
coupling remains finite, so that we can extend the boundary perturbations to
late times after the singularity. Assuming that the spacetime in the future of
the singularity has a weakly coupled region near the boundary, we reconstruct
the bulk fluctuations after the singularity crossing making use of generic
properties of boundary-to-bulk propagators. Finally, we extract the spectrum of
the fluctuations at late times given some initial spectrum. We find that the
spectral index is unchanged, but the amplitude increases due to the squeezing
of the fluctuations during the course of the evolution. This investigation can
teach us important lessons on how the spectrum of cosmological perturbations
passes through a bounce which is singular from the bulk point of view but which
is resolved using an ultraviolet complete theory of quantum gravity.
|
[
{
"created": "Sat, 2 Jan 2016 22:37:37 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Jan 2016 08:08:31 GMT",
"version": "v2"
}
] |
2016-10-12
|
[
[
"Brandenberger",
"Robert H.",
""
],
[
"Cai",
"Yi-Fu",
""
],
[
"Das",
"Sumit R.",
""
],
[
"Ferreira",
"Elisa G. M.",
""
],
[
"Morrison",
"Ian A.",
""
],
[
"Wang",
"Yi",
""
]
] |
We consider a time-dependent deformation of anti-de-Sitter (AdS) space-time which contains a cosmological "singularity" - a space-like region of high curvature. Making use of the AdS/CFT correspondence we can map the bulk dynamics onto the boundary. The boundary theory has a time dependent coupling constant which becomes small at times when the bulk space-time is highly curved. We investigate the propagation of small fluctuations of a test scalar field from early times before the bulk singularity to late times after the singularity. Under the assumption that the AdS/CFT correspondence extends to deformed AdS space-times, we can map the bulk evolution of the scalar field onto the evolution of the boundary gauge field. The time evolution of linearized fluctuations is well defined in the boundary theory as long as the coupling remains finite, so that we can extend the boundary perturbations to late times after the singularity. Assuming that the spacetime in the future of the singularity has a weakly coupled region near the boundary, we reconstruct the bulk fluctuations after the singularity crossing making use of generic properties of boundary-to-bulk propagators. Finally, we extract the spectrum of the fluctuations at late times given some initial spectrum. We find that the spectral index is unchanged, but the amplitude increases due to the squeezing of the fluctuations during the course of the evolution. This investigation can teach us important lessons on how the spectrum of cosmological perturbations passes through a bounce which is singular from the bulk point of view but which is resolved using an ultraviolet complete theory of quantum gravity.
| 7.260307
| 7.928434
| 7.4722
| 7.141482
| 7.456283
| 7.615226
| 7.357585
| 7.274019
| 7.271526
| 7.974766
| 7.096685
| 7.191424
| 7.391169
| 7.088308
| 7.397815
| 6.994396
| 7.083734
| 7.16873
| 7.168989
| 7.040804
| 7.056366
|
2009.12370
|
Jun Nian
|
Marina David, Jun Nian
|
Universal Entropy and Hawking Radiation of Near-Extremal AdS$_4$ Black
Holes
|
25 pages, 2 figures; v2: Sec. 2.1 and Sec. 2.3 updated; v3: published
version in JHEP, minor changes in Sec. 2 and 3
|
JHEP 04(2021)256
|
10.1007/JHEP04(2021)256
|
LCTP-20-23
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the Bekenstein-Hawking entropy of near-extremal asymptotically
AdS$_4$ electrically charged rotating black holes using three different
methods: (i) from the gravity solution, (ii) from the near-horizon Kerr/CFT
correspondence and (iii) from the boundary conformal field theory. The results
from these three different approaches match exactly, giving us a unique and
universal expression for the entropy and the microstate counting of
near-extremal AdS black holes via the AdS/CFT correspondence. In the second
method, we extend the Kerr/CFT correspondence to the near-extremal case to
compute the left and right central charges. We also use hidden conformal
symmetry of the near-horizon geometry to compute the Frolov-Thorne
temperatures. From the results of the near-extremal AdS$_4$ black hole entropy,
we provide a microscopic foundation for Hawking radiation.
|
[
{
"created": "Fri, 25 Sep 2020 17:59:59 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Dec 2020 08:10:26 GMT",
"version": "v2"
},
{
"created": "Mon, 5 Apr 2021 06:49:48 GMT",
"version": "v3"
}
] |
2022-05-02
|
[
[
"David",
"Marina",
""
],
[
"Nian",
"Jun",
""
]
] |
We compute the Bekenstein-Hawking entropy of near-extremal asymptotically AdS$_4$ electrically charged rotating black holes using three different methods: (i) from the gravity solution, (ii) from the near-horizon Kerr/CFT correspondence and (iii) from the boundary conformal field theory. The results from these three different approaches match exactly, giving us a unique and universal expression for the entropy and the microstate counting of near-extremal AdS black holes via the AdS/CFT correspondence. In the second method, we extend the Kerr/CFT correspondence to the near-extremal case to compute the left and right central charges. We also use hidden conformal symmetry of the near-horizon geometry to compute the Frolov-Thorne temperatures. From the results of the near-extremal AdS$_4$ black hole entropy, we provide a microscopic foundation for Hawking radiation.
| 5.404306
| 4.91643
| 5.640697
| 4.99906
| 5.357746
| 4.889253
| 5.379967
| 4.888519
| 5.00339
| 6.077221
| 4.962419
| 4.903663
| 5.392356
| 4.920104
| 4.87435
| 4.852281
| 5.076186
| 4.865094
| 4.879235
| 5.37919
| 4.922184
|
1512.08550
|
Jorge Rocha
|
Pedro Aniceto, Paolo Pani and Jorge V. Rocha
|
Radiating black holes in Einstein-Maxwell-dilaton theory and cosmic
censorship violation
|
1+18 pages, no figures; v2: Expanded test of cosmic censorship in
section 5 to solutions with a time-dependent dilaton, in which case an
explicit violation of cosmic censorship is found. Small additions to the
title, abstract, introduction and conclusions accordingly. Includes new
appendix with detailed discussion of energy conditions; v3: Matches version
published in JHEP
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct exact, time-dependent, black hole solutions of
Einstein-Maxwell-dilaton theory with arbitrary dilaton coupling, $a$. For $a=1$
this theory arises as the four-dimensional low-energy effective description of
heterotic string theory. These solutions represent electrically charged,
spherically symmetric black holes emitting or absorbing charged null fluids and
generalize the Vaidya and Bonnor-Vaidya solutions of general relativity and of
Einstein-Maxwell theory, respectively. The $a=1$ case stands out as special, in
the sense that it is the only choice of the coupling that allows for a
time-dependent dilaton field in this class of solutions. As a by-product, when
$a=1$ we show that an electrically charged black hole in this theory can be
overcharged by bombarding it with a stream of electrically charged null fluid,
resulting in the formation of a naked singularity. This provides an example of
cosmic censorship violation in an exact dynamical solution to low-energy
effective string theory and in a case in which the total stress-energy tensor
satisfies all energy conditions. When $a\neq1$, our solutions necessarily have
a time-independent scalar field and consequently cannot be overcharged.
|
[
{
"created": "Mon, 28 Dec 2015 22:50:33 GMT",
"version": "v1"
},
{
"created": "Wed, 11 May 2016 14:00:48 GMT",
"version": "v2"
},
{
"created": "Tue, 24 May 2016 08:05:52 GMT",
"version": "v3"
}
] |
2016-05-25
|
[
[
"Aniceto",
"Pedro",
""
],
[
"Pani",
"Paolo",
""
],
[
"Rocha",
"Jorge V.",
""
]
] |
We construct exact, time-dependent, black hole solutions of Einstein-Maxwell-dilaton theory with arbitrary dilaton coupling, $a$. For $a=1$ this theory arises as the four-dimensional low-energy effective description of heterotic string theory. These solutions represent electrically charged, spherically symmetric black holes emitting or absorbing charged null fluids and generalize the Vaidya and Bonnor-Vaidya solutions of general relativity and of Einstein-Maxwell theory, respectively. The $a=1$ case stands out as special, in the sense that it is the only choice of the coupling that allows for a time-dependent dilaton field in this class of solutions. As a by-product, when $a=1$ we show that an electrically charged black hole in this theory can be overcharged by bombarding it with a stream of electrically charged null fluid, resulting in the formation of a naked singularity. This provides an example of cosmic censorship violation in an exact dynamical solution to low-energy effective string theory and in a case in which the total stress-energy tensor satisfies all energy conditions. When $a\neq1$, our solutions necessarily have a time-independent scalar field and consequently cannot be overcharged.
| 5.081189
| 5.411469
| 5.157694
| 5.066442
| 5.209997
| 4.984144
| 5.251107
| 5.016768
| 5.366539
| 5.53891
| 5.022491
| 5.062263
| 4.995547
| 4.92767
| 4.959705
| 4.919712
| 5.088005
| 4.810182
| 5.062877
| 4.954891
| 5.141421
|
hep-th/9409105
|
Jean-Bruno Erismann
|
L. Guieu, V. Yu. Ovsienko
|
Structures Symplectiques sur les Espaces de Courbes Projectives et
Affines
|
41 pages
| null |
10.1016/0393-0440(94)00024-X
|
CPT-93/P.2980
|
hep-th math.SG
| null |
A symplectic structure on the space of nondegenerate and nonparametrized
curves in a locally affine manifold is defined. We also consider several
interesting spaces of nondegenerate projective curves endowed with Poisson
structures. This construction connects the Virasoro algebra and the
Gel'fand-Dikii bracket with the projective differential geometry.
|
[
{
"created": "Mon, 19 Sep 1994 14:00:40 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Guieu",
"L.",
""
],
[
"Ovsienko",
"V. Yu.",
""
]
] |
A symplectic structure on the space of nondegenerate and nonparametrized curves in a locally affine manifold is defined. We also consider several interesting spaces of nondegenerate projective curves endowed with Poisson structures. This construction connects the Virasoro algebra and the Gel'fand-Dikii bracket with the projective differential geometry.
| 10.654936
| 10.171853
| 11.274739
| 9.603475
| 11.160336
| 12.124389
| 11.554819
| 9.99627
| 12.200032
| 14.332457
| 9.841132
| 10.371343
| 12.190982
| 11.003713
| 11.338447
| 10.442444
| 10.591448
| 10.704918
| 10.260325
| 12.180923
| 10.541648
|
0804.4114
|
Branko Dragovich
|
Branko Dragovich
|
Zeta Nonlocal Scalar Fields
|
13 pages, submitted to Theoretical and Mathematical Physics
|
Theor.Math.Phys.157:1671-1677,2008
|
10.1007/s11232-008-0139-z
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider some nonlocal and nonpolynomial scalar field models originated
from p-adic string theory. Infinite number of spacetime derivatives is
determined by the operator valued Riemann zeta function through d'Alembertian
$\Box$ in its argument. Construction of the corresponding Lagrangians L starts
with the exact Lagrangian $\mathcal{L}_p$ for effective field of p-adic tachyon
string, which is generalized replacing p by arbitrary natural number n and then
taken a sum of $\mathcal{L}_n$ over all n. The corresponding new objects we
call zeta scalar strings. Some basic classical field properties of these fields
are obtained and presented in this paper. In particular, some solutions of the
equations of motion and their tachyon spectra are studied. Field theory with
Riemann zeta function dynamics is interesting in its own right as well.
|
[
{
"created": "Fri, 25 Apr 2008 14:19:07 GMT",
"version": "v1"
}
] |
2009-01-26
|
[
[
"Dragovich",
"Branko",
""
]
] |
We consider some nonlocal and nonpolynomial scalar field models originated from p-adic string theory. Infinite number of spacetime derivatives is determined by the operator valued Riemann zeta function through d'Alembertian $\Box$ in its argument. Construction of the corresponding Lagrangians L starts with the exact Lagrangian $\mathcal{L}_p$ for effective field of p-adic tachyon string, which is generalized replacing p by arbitrary natural number n and then taken a sum of $\mathcal{L}_n$ over all n. The corresponding new objects we call zeta scalar strings. Some basic classical field properties of these fields are obtained and presented in this paper. In particular, some solutions of the equations of motion and their tachyon spectra are studied. Field theory with Riemann zeta function dynamics is interesting in its own right as well.
| 12.347766
| 13.532755
| 13.313438
| 12.493988
| 12.263599
| 13.578325
| 13.000483
| 12.092253
| 12.18031
| 13.914945
| 12.284601
| 12.271626
| 12.744712
| 12.090026
| 12.15243
| 11.949455
| 11.995006
| 11.975547
| 11.759008
| 12.485019
| 11.573978
|
1605.05597
|
Yuhma Asano
|
Yuhma Asano, Veselin G. Filev, Samuel Kov\'a\v{c}ik and Denjoe
O'Connor
|
The Flavoured BFSS Model at High Temperature
|
36 pages 11 figures and tables; v2: major revision for clarification,
numerical results updated and typos corrected
| null |
10.1007/JHEP01(2017)113
|
DIAS-STP-16-04
|
hep-th hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the high temperature series expansion of the Berkooz-Douglas matrix
model which describes the D0/D4--brane system. At high temperature the model is
weakly coupled and we develop the series to second order. We check our results
against the high temperature regime of the bosonic model (without fermions) and
find excellent agreement. We track the temperature dependence of the bosonic
model and find backreaction of the fundamental fields lifts the zero
temperature adjoint mass degeneracy. In the low temperature phase the system is
well described by a gaussian model with three masses $m^t_A=1.964 \pm 0.003$,
$m^l_A=2.001 \pm 0.003$ and $m_f=1.463 \pm 0.001$, the adjoint longitudional
and transverse masses and the mass of the fundamental fields respectively.
|
[
{
"created": "Wed, 18 May 2016 14:22:30 GMT",
"version": "v1"
},
{
"created": "Tue, 2 May 2017 14:59:37 GMT",
"version": "v2"
}
] |
2017-05-03
|
[
[
"Asano",
"Yuhma",
""
],
[
"Filev",
"Veselin G.",
""
],
[
"Kováčik",
"Samuel",
""
],
[
"O'Connor",
"Denjoe",
""
]
] |
We study the high temperature series expansion of the Berkooz-Douglas matrix model which describes the D0/D4--brane system. At high temperature the model is weakly coupled and we develop the series to second order. We check our results against the high temperature regime of the bosonic model (without fermions) and find excellent agreement. We track the temperature dependence of the bosonic model and find backreaction of the fundamental fields lifts the zero temperature adjoint mass degeneracy. In the low temperature phase the system is well described by a gaussian model with three masses $m^t_A=1.964 \pm 0.003$, $m^l_A=2.001 \pm 0.003$ and $m_f=1.463 \pm 0.001$, the adjoint longitudional and transverse masses and the mass of the fundamental fields respectively.
| 9.389664
| 9.66447
| 10.759583
| 8.740228
| 8.481544
| 9.021996
| 9.100331
| 9.064498
| 8.666643
| 10.361745
| 8.952655
| 8.746924
| 8.906284
| 8.703165
| 8.643356
| 8.397243
| 8.628478
| 8.423359
| 8.813311
| 9.176305
| 8.40751
|
1304.0404
|
Tomislav Prokopec
|
Gianrocco Lazzari and Tomislav Prokopec
|
Symmetry breaking in de Sitter: a stochastic effective theory approach
|
25 pages, 3 eps figures
| null | null |
ITP-UU-13/06, SPIN-13/04
|
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider phase transitions on (eternal) de Sitter in an O(N) symmetric
scalar field theory. Making use of Starobinsky's stochastic inflation we prove
that deep infrared scalar modes cannot form a condensate -- and hence they see
an effective potential that allows no phase transition. We show that by proving
convexity of the effective potential that governs deep infrared field
fluctuations both at the origin as well as at arbitrary values of the field.
Next, we present numerical plots of the scalar field probability distribution
function (PDF) and the corresponding effective potential for several values of
the coupling constant at the asymptotic future timelike infinity of de Sitter.
For small field values the effective potential has an approximately quadratic
form, corresponding to a positive mass term, such that the corresponding PDF is
approximately Gaussian. However, the curvature of the effective potential shows
qualitatively different (typically much softer) behavior on the coupling
constant than that implied by the Starobinsky-Yokoyama procedure. For large
field values, the effective potential as expected reduces to the tree level
potential plus a positive correction that only weakly (logarithmically) depends
on the background field. Finally, we calculate the backreaction of fluctuations
on the background geometry and show that it is positive.
|
[
{
"created": "Mon, 1 Apr 2013 18:04:25 GMT",
"version": "v1"
}
] |
2013-04-02
|
[
[
"Lazzari",
"Gianrocco",
""
],
[
"Prokopec",
"Tomislav",
""
]
] |
We consider phase transitions on (eternal) de Sitter in an O(N) symmetric scalar field theory. Making use of Starobinsky's stochastic inflation we prove that deep infrared scalar modes cannot form a condensate -- and hence they see an effective potential that allows no phase transition. We show that by proving convexity of the effective potential that governs deep infrared field fluctuations both at the origin as well as at arbitrary values of the field. Next, we present numerical plots of the scalar field probability distribution function (PDF) and the corresponding effective potential for several values of the coupling constant at the asymptotic future timelike infinity of de Sitter. For small field values the effective potential has an approximately quadratic form, corresponding to a positive mass term, such that the corresponding PDF is approximately Gaussian. However, the curvature of the effective potential shows qualitatively different (typically much softer) behavior on the coupling constant than that implied by the Starobinsky-Yokoyama procedure. For large field values, the effective potential as expected reduces to the tree level potential plus a positive correction that only weakly (logarithmically) depends on the background field. Finally, we calculate the backreaction of fluctuations on the background geometry and show that it is positive.
| 11.317697
| 11.899814
| 11.087324
| 10.910607
| 10.957484
| 11.37614
| 11.802862
| 10.877419
| 10.599661
| 11.490649
| 10.417956
| 10.803014
| 10.612083
| 10.756616
| 10.707767
| 10.725842
| 10.692838
| 10.845207
| 10.770371
| 10.954099
| 10.371872
|
1911.02654
|
Norihiro Iizuka
|
Norihiro Iizuka, Akihiro Ishibashi, Kengo Maeda
|
Conformally invariant averaged null energy condition from AdS/CFT
|
27 pages, 2 figures. v2: section 5 corrected. references added
| null |
10.1007/JHEP03(2020)161
|
OU-HET-1028
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the compatibility of the AdS/CFT duality with the bulk and boundary
causality, and derive a conformally invariant averaged null energy condition
(CANEC) for quantum field theories in 3 and 5-dimensional curved boundaries.
This is the generalization of the averaged null energy condition (ANEC) in
Minkowski spacetime to curved boundaries, where null energy is averaged along
the null line with appropriate weight for conformal invariance. For this
purpose we take, as our guiding principle, the no-bulk-shortcut theorem of Gao
and Wald, which essentially asserts that when going from one point to another
on the boundary, one cannot take a "shortcut through the bulk". We also discuss
the relationship between bulk vs boundary causality and the weak cosmic
censorship.
|
[
{
"created": "Wed, 6 Nov 2019 22:23:15 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Mar 2020 04:05:56 GMT",
"version": "v2"
}
] |
2020-04-22
|
[
[
"Iizuka",
"Norihiro",
""
],
[
"Ishibashi",
"Akihiro",
""
],
[
"Maeda",
"Kengo",
""
]
] |
We study the compatibility of the AdS/CFT duality with the bulk and boundary causality, and derive a conformally invariant averaged null energy condition (CANEC) for quantum field theories in 3 and 5-dimensional curved boundaries. This is the generalization of the averaged null energy condition (ANEC) in Minkowski spacetime to curved boundaries, where null energy is averaged along the null line with appropriate weight for conformal invariance. For this purpose we take, as our guiding principle, the no-bulk-shortcut theorem of Gao and Wald, which essentially asserts that when going from one point to another on the boundary, one cannot take a "shortcut through the bulk". We also discuss the relationship between bulk vs boundary causality and the weak cosmic censorship.
| 8.260568
| 8.978519
| 9.038356
| 8.279299
| 8.60577
| 8.286136
| 8.236226
| 8.158204
| 8.040853
| 10.414493
| 8.197013
| 7.556449
| 8.401854
| 7.876186
| 7.69755
| 7.83549
| 7.845754
| 7.588036
| 7.609475
| 8.152357
| 7.715397
|
hep-th/9604175
|
Kechkin O. V.
|
O.Kechkin, M.Yurova
|
Kramer--Neugebauer Transformation for Einstein--Maxwell--Dilaton--Axion
Theory
|
13 pages, RevTex, no figures
|
Phys.Rev.D54:6132-6135,1996
|
10.1103/PhysRevD.54.6132
| null |
hep-th
| null |
The Kramer--Neugebauer--like transformation is constructed for the stationary
axisymmetric D=4 Einstein--Maxwell--dilaton--axion system. This transformation
directly maps the dualized sigma--model equations of the theory into the
nondualized ones. Also the new chiral $4 \times 4$ matrix representation of the
problem is presented.
|
[
{
"created": "Sun, 28 Apr 1996 18:09:36 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Kechkin",
"O.",
""
],
[
"Yurova",
"M.",
""
]
] |
The Kramer--Neugebauer--like transformation is constructed for the stationary axisymmetric D=4 Einstein--Maxwell--dilaton--axion system. This transformation directly maps the dualized sigma--model equations of the theory into the nondualized ones. Also the new chiral $4 \times 4$ matrix representation of the problem is presented.
| 16.638304
| 12.381104
| 13.290671
| 10.794175
| 11.847908
| 12.010949
| 12.250376
| 11.175839
| 11.004143
| 15.138491
| 11.710462
| 11.543425
| 12.189392
| 10.734604
| 11.18499
| 11.359818
| 12.182172
| 10.854419
| 12.318488
| 11.721004
| 11.74578
|
hep-th/0406183
|
Nikolaos Tetradis
|
N. Tetradis (U. of Athens)
|
Brane Cosmology with Matter in the Bulk (II)
|
15 pages
|
Class.Quant.Grav. 21 (2004) 5221-5232
|
10.1088/0264-9381/21/22/013
| null |
hep-th
| null |
We derive exact solutions of the Einstein equations in the context of the
Randall-Sundrum model with matter on the brane and in the bulk. We present two
models in which the brane moves within a time-dependent bulk. We study the
cosmological evolution on the brane. Our solutions display novel behaviour,
such as an expansion driven only by the bulk matter and the appearance of a
``mirage'' dust component on the brane.
|
[
{
"created": "Tue, 22 Jun 2004 08:02:06 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Tetradis",
"N.",
"",
"U. of Athens"
]
] |
We derive exact solutions of the Einstein equations in the context of the Randall-Sundrum model with matter on the brane and in the bulk. We present two models in which the brane moves within a time-dependent bulk. We study the cosmological evolution on the brane. Our solutions display novel behaviour, such as an expansion driven only by the bulk matter and the appearance of a ``mirage'' dust component on the brane.
| 8.412413
| 6.604421
| 7.75109
| 6.944005
| 6.535836
| 6.175484
| 6.487339
| 6.591808
| 6.380998
| 7.463331
| 6.577086
| 7.085555
| 7.385274
| 7.186579
| 7.095092
| 7.242088
| 6.966062
| 6.998205
| 7.194526
| 7.379001
| 7.271986
|
hep-th/0701053
|
Cliff Burgess
|
C.P. Burgess
|
Introduction to Effective Field Theory
|
Review article prepared for Annual Reviews of Nuclear and Particle
Science, LaTex, 55 pages; new references added
|
Ann.Rev.Nucl.Part.Sci.57:329-362,2007
|
10.1146/annurev.nucl.56.080805.140508
| null |
hep-th astro-ph gr-qc hep-ph
| null |
This review summarizes Effective Field Theory techniques, which are the
modern theoretical tools for exploiting the existence of hierarchies of scale
in a physical problem. The general theoretical framework is described, and
explicitly evaluated for a simple model. Power-counting results are illustrated
for a few cases of practical interest, and several applications to Quantum
Electrodynamics are described.
|
[
{
"created": "Mon, 8 Jan 2007 04:18:12 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Jan 2007 08:44:10 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Burgess",
"C. P.",
""
]
] |
This review summarizes Effective Field Theory techniques, which are the modern theoretical tools for exploiting the existence of hierarchies of scale in a physical problem. The general theoretical framework is described, and explicitly evaluated for a simple model. Power-counting results are illustrated for a few cases of practical interest, and several applications to Quantum Electrodynamics are described.
| 15.388863
| 16.387535
| 14.606583
| 13.68087
| 16.13658
| 15.464453
| 15.395126
| 14.316767
| 14.71861
| 14.87483
| 13.544104
| 13.490477
| 13.840523
| 13.80672
| 13.881551
| 14.042854
| 13.720195
| 14.050078
| 13.508623
| 14.495022
| 13.472979
|
1902.02149
|
Ion Vasile Vancea
|
Ion V. Vancea
|
Backreaction of particle production on physical gravitons in the de
Sitter space
|
13 pages
| null | null | null |
hep-th astro-ph.HE gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive the effects of the scalar particle production on the physical
graviton operator in the de Sitter space. Our analysis is done for the
sub-horizon modes at large values of the conformal time. In this limit, we
completely determine the correction to the scalar energy-momentum tensor at the
first order in the WKB iteration. Also, we calculate the corresponding
correction to the graviton operator for a single sub-horizon mode.
|
[
{
"created": "Wed, 6 Feb 2019 12:51:05 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Mar 2019 15:42:27 GMT",
"version": "v2"
}
] |
2019-03-21
|
[
[
"Vancea",
"Ion V.",
""
]
] |
We derive the effects of the scalar particle production on the physical graviton operator in the de Sitter space. Our analysis is done for the sub-horizon modes at large values of the conformal time. In this limit, we completely determine the correction to the scalar energy-momentum tensor at the first order in the WKB iteration. Also, we calculate the corresponding correction to the graviton operator for a single sub-horizon mode.
| 10.427556
| 9.818406
| 10.535733
| 9.748773
| 9.32884
| 9.968574
| 9.937277
| 9.564652
| 9.845934
| 11.450287
| 9.728456
| 9.807338
| 10.019998
| 9.718784
| 9.987939
| 9.763946
| 10.123417
| 9.485874
| 10.184879
| 10.080238
| 9.613009
|
hep-th/0303089
|
Saurya Das
|
Saurya Das, Viqar Husain
|
Anti-de Sitter black holes, perfect fluids, and holography
|
Minor changes to match published version. 9 Pages, Revtex
|
Class.Quant.Grav.20:4387-4401,2003
|
10.1088/0264-9381/20/20/304
| null |
hep-th gr-qc
| null |
We consider asymptotically anti-de Sitter black holes in $d$-spacetime
dimensions in the thermodynamically stable regime. We show that the
Bekenstein-Hawking entropy and its leading order corrections due to thermal
fluctuations can be reproduced by a weakly interacting fluid of bosons and
fermions (`dual gas') in $\Delta=\alpha(d-2)+1$ spacetime dimensions, where the
energy-momentum dispersion relation for the constituents of the fluid is
assumed to be $\epsilon = \kappa p^\alpha$. We examine implications of this
result for entropy bounds and the holographic hypothesis.
|
[
{
"created": "Tue, 11 Mar 2003 01:54:11 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Sep 2003 23:44:21 GMT",
"version": "v2"
},
{
"created": "Fri, 20 Feb 2004 18:28:43 GMT",
"version": "v3"
}
] |
2014-11-18
|
[
[
"Das",
"Saurya",
""
],
[
"Husain",
"Viqar",
""
]
] |
We consider asymptotically anti-de Sitter black holes in $d$-spacetime dimensions in the thermodynamically stable regime. We show that the Bekenstein-Hawking entropy and its leading order corrections due to thermal fluctuations can be reproduced by a weakly interacting fluid of bosons and fermions (`dual gas') in $\Delta=\alpha(d-2)+1$ spacetime dimensions, where the energy-momentum dispersion relation for the constituents of the fluid is assumed to be $\epsilon = \kappa p^\alpha$. We examine implications of this result for entropy bounds and the holographic hypothesis.
| 9.210238
| 8.306469
| 7.772647
| 7.365201
| 7.982097
| 8.671135
| 8.900487
| 7.779262
| 8.543705
| 8.667298
| 8.023845
| 8.178308
| 7.948595
| 7.94181
| 7.838024
| 7.95239
| 8.079251
| 7.985872
| 7.748658
| 8.029082
| 8.013892
|
2003.08173
|
Sanjaye Ramgoolam
|
Robert de Mello Koch, Sanjaye Ramgoolam
|
Perturbative 4D conformal field theories and representation theory of
diagram algebras
|
67 pages, many figures; V2-minor typos corrected
|
JHEP 05 (2020) 020
|
10.1007/JHEP05(2020)020
|
QMUL-PH-20-03
|
hep-th math.RT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The correlators of free four dimensional conformal field theories (CFT4) have
been shown to be given by amplitudes in two-dimensional $so(4,2)$ equivariant
topological field theories (TFT2), by using a vertex operator formalism for the
correlators. We show that this can be extended to perturbative interacting
conformal field theories, using two representation theoretic constructions. A
co-product deformation for the conformal algebra accommodates the equivariant
construction of composite operators in the presence of non-additive anomalous
dimensions. Explicit expressions for the co-product deformation are given
within a sector of $ \mathcal{N} =4 $ SYM and for the Wilson-Fischer fixed
point near four dimensions. The extension of conformal equivariance beyond
integer dimensions (relevant for the Wilson-Fischer fixed point) leads to the
definition of an associative diagram algebra $ {\bf U}_{*} $, abstracted from $
Uso(d)$ in the limit of large integer $d$, which admits extension of $ Uso(d)$
representation theory to general real (or complex) $d$. The algebra is related,
via oscillator realisations, to $so(d)$ equivariant maps and Brauer category
diagrams. Tensor representations are constructed where the diagram algebra acts
on tensor products of a fundamental diagram representation. A similar
diagrammatic algebra ${\bf U}_{\star ,2}$, related to a general $d$ extension
for $ Uso(d,2)$ is defined, and some of its lowest weight representations
relevant to the Wilson-Fischer fixed point are described.
|
[
{
"created": "Wed, 18 Mar 2020 12:10:12 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Aug 2020 14:50:16 GMT",
"version": "v2"
}
] |
2020-08-13
|
[
[
"Koch",
"Robert de Mello",
""
],
[
"Ramgoolam",
"Sanjaye",
""
]
] |
The correlators of free four dimensional conformal field theories (CFT4) have been shown to be given by amplitudes in two-dimensional $so(4,2)$ equivariant topological field theories (TFT2), by using a vertex operator formalism for the correlators. We show that this can be extended to perturbative interacting conformal field theories, using two representation theoretic constructions. A co-product deformation for the conformal algebra accommodates the equivariant construction of composite operators in the presence of non-additive anomalous dimensions. Explicit expressions for the co-product deformation are given within a sector of $ \mathcal{N} =4 $ SYM and for the Wilson-Fischer fixed point near four dimensions. The extension of conformal equivariance beyond integer dimensions (relevant for the Wilson-Fischer fixed point) leads to the definition of an associative diagram algebra $ {\bf U}_{*} $, abstracted from $ Uso(d)$ in the limit of large integer $d$, which admits extension of $ Uso(d)$ representation theory to general real (or complex) $d$. The algebra is related, via oscillator realisations, to $so(d)$ equivariant maps and Brauer category diagrams. Tensor representations are constructed where the diagram algebra acts on tensor products of a fundamental diagram representation. A similar diagrammatic algebra ${\bf U}_{\star ,2}$, related to a general $d$ extension for $ Uso(d,2)$ is defined, and some of its lowest weight representations relevant to the Wilson-Fischer fixed point are described.
| 12.615526
| 14.00155
| 14.343816
| 13.061584
| 13.872128
| 14.127325
| 12.897055
| 12.652056
| 12.644076
| 16.532078
| 12.808444
| 12.507369
| 13.322164
| 12.632945
| 12.731623
| 12.860001
| 12.693733
| 12.709398
| 12.535013
| 13.189446
| 12.87697
|
2107.00671
|
Alessio Baldazzi
|
Alessio Baldazzi and Kevin Falls
|
Essential Quantum Einstein Gravity
|
v2: clarifying remarks on inessential couplings at Gaussian fixed
points, a discussion on the inclusion of matter and additional references
added. Matches published version
|
Universe 2021, 7(8), 294
|
10.3390/universe7080294
| null |
hep-th gr-qc
|
http://creativecommons.org/publicdomain/zero/1.0/
|
The non-perturbative renormalisation of quantum gravity is investigated
allowing for the metric to be reparameterised along the RG flow, such that only
the essential couplings constants are renormalised. This allows us to identify
a universality class of quantum gravity which is guaranteed to be unitary,
since the physical degrees of freedom are those of general relativity without
matter and with a vanishing cosmological constant. Considering all
diffeomorphism invariant operators with up to four derivatives, only Newton's
constant is essential at the Gaussian infrared fixed point associated to the
linearised Einstein--Hilbert action. The other inessential couplings can then
be fixed to the values they take at the Gaussian fixed point along the RG flow
within this universality class. In the ultraviolet, the corresponding beta
function for Newton's constant vanishes at the interacting Reuter fixed point.
The properties of the Reuter fixed point are stable between the
Einstein--Hilbert approximation and the approximation including all
diffeomorphism invariant four derivative terms in the flow equation. Our
results suggest that Newton's constant is the only relevant essential coupling
at the Reuter fixed point. Therefore, we conjecture that quantum Einstein
gravity, the ultraviolet completion of Einstein's theory of general relativity
in the asymptotic safety scenario, has no free parameters in the absence of
matter and in particular predicts a vanishing cosmological constant.
|
[
{
"created": "Thu, 1 Jul 2021 18:00:22 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Aug 2021 15:50:39 GMT",
"version": "v2"
}
] |
2021-08-11
|
[
[
"Baldazzi",
"Alessio",
""
],
[
"Falls",
"Kevin",
""
]
] |
The non-perturbative renormalisation of quantum gravity is investigated allowing for the metric to be reparameterised along the RG flow, such that only the essential couplings constants are renormalised. This allows us to identify a universality class of quantum gravity which is guaranteed to be unitary, since the physical degrees of freedom are those of general relativity without matter and with a vanishing cosmological constant. Considering all diffeomorphism invariant operators with up to four derivatives, only Newton's constant is essential at the Gaussian infrared fixed point associated to the linearised Einstein--Hilbert action. The other inessential couplings can then be fixed to the values they take at the Gaussian fixed point along the RG flow within this universality class. In the ultraviolet, the corresponding beta function for Newton's constant vanishes at the interacting Reuter fixed point. The properties of the Reuter fixed point are stable between the Einstein--Hilbert approximation and the approximation including all diffeomorphism invariant four derivative terms in the flow equation. Our results suggest that Newton's constant is the only relevant essential coupling at the Reuter fixed point. Therefore, we conjecture that quantum Einstein gravity, the ultraviolet completion of Einstein's theory of general relativity in the asymptotic safety scenario, has no free parameters in the absence of matter and in particular predicts a vanishing cosmological constant.
| 6.851279
| 6.940142
| 7.277645
| 6.680064
| 6.784355
| 6.715543
| 6.946084
| 6.638314
| 6.448394
| 8.436994
| 6.511204
| 6.648448
| 7.122365
| 6.738802
| 6.517528
| 6.819641
| 6.754389
| 6.570313
| 6.645503
| 7.176442
| 6.59476
|
0712.1427
|
Piotr Su{\l}kowski
|
Robbert Dijkgraaf and Piotr Su{\l}kowski
|
Instantons on ALE spaces and orbifold partitions
|
28 pages, 10 figures; reference added
|
JHEP 0803:013,2008
|
10.1088/1126-6708/2008/03/013
|
ITFA-2007-26, IFT-UW-2007-5, BONN-TH-2007-12
|
hep-th math.AG math.CO
| null |
We consider N=4 theories on ALE spaces of $A_{k-1}$ type. As is well known,
their partition functions coincide with $A_{k-1}$ affine characters. We show
that these partition functions are equal to the generating functions of some
peculiar classes of partitions which we introduce under the name 'orbifold
partitions'. These orbifold partitions turn out to be related to the
generalized Frobenius partitions introduced by G. E. Andrews some years ago. We
relate the orbifold partitions to the blended partitions and interpret
explicitly in terms of a free fermion system.
|
[
{
"created": "Mon, 10 Dec 2007 10:39:52 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Mar 2008 04:30:31 GMT",
"version": "v2"
}
] |
2010-02-03
|
[
[
"Dijkgraaf",
"Robbert",
""
],
[
"Sułkowski",
"Piotr",
""
]
] |
We consider N=4 theories on ALE spaces of $A_{k-1}$ type. As is well known, their partition functions coincide with $A_{k-1}$ affine characters. We show that these partition functions are equal to the generating functions of some peculiar classes of partitions which we introduce under the name 'orbifold partitions'. These orbifold partitions turn out to be related to the generalized Frobenius partitions introduced by G. E. Andrews some years ago. We relate the orbifold partitions to the blended partitions and interpret explicitly in terms of a free fermion system.
| 9.313755
| 8.395494
| 10.090654
| 7.815771
| 8.599902
| 8.112982
| 8.355323
| 8.171627
| 7.920042
| 10.232965
| 8.425362
| 8.283647
| 8.63959
| 8.429458
| 8.430714
| 8.316245
| 8.120371
| 8.292765
| 8.420449
| 8.74788
| 8.138274
|
hep-th/0008086
|
Dominique Toublan
|
D. Toublan and J.J.M. Verbaarschot
|
Dirac Spectrum in Adjoint QCD
|
Invited talk at the "Fourth Workshop on Continuous Advances in QCD",
Minneapolis, May 12-14, 2000, 15 pages, Latex, 1 figure
| null | null |
SUNY-NTG-00/46
|
hep-th
| null |
In this lecture we discuss some exact results for the low-lying spectrum of
the Dirac operator in adjoint QCD. In particular, we find an analytical
expression for the slope of the average spectral density. These results are
obtained by means of a generating function which is an extension of the QCD
partition function with fermionic and bosonic ghost quarks. The low-energy
limit of this generating function is completely determined by chiral
(super-)symmetries. Our results for the slope of the average spectral density
are consistent with the results for the scalar susceptibility which can be
obtained from the usual chiral Lagrangian.
|
[
{
"created": "Thu, 10 Aug 2000 21:55:21 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Toublan",
"D.",
""
],
[
"Verbaarschot",
"J. J. M.",
""
]
] |
In this lecture we discuss some exact results for the low-lying spectrum of the Dirac operator in adjoint QCD. In particular, we find an analytical expression for the slope of the average spectral density. These results are obtained by means of a generating function which is an extension of the QCD partition function with fermionic and bosonic ghost quarks. The low-energy limit of this generating function is completely determined by chiral (super-)symmetries. Our results for the slope of the average spectral density are consistent with the results for the scalar susceptibility which can be obtained from the usual chiral Lagrangian.
| 7.101623
| 6.714414
| 7.655187
| 6.389262
| 6.624191
| 6.28335
| 6.979461
| 6.834581
| 6.77977
| 7.622234
| 6.366115
| 6.541493
| 6.971527
| 6.698488
| 7.005747
| 6.560661
| 6.784701
| 6.932847
| 6.805037
| 6.760652
| 6.832815
|
hep-th/9812222
|
Ademir eugenio de Santana
|
F.C. Khanna, A.E. Santana, A. Matos Neto, J.D.M. Vianna and T. Kopf
|
Spinorial density matrix equation and gauge covariance
|
LaTex, 17 pages
| null | null | null |
hep-th
| null |
In this work we apply the Lie group representation method introduced in the
real time formalism for finite-temperature quantum-field theory, thermofield
dynamics, to derive a spinorial density matrix equation. Symmetry properties of
such equation are analysed, and as a basic result it is shown that one solution
is the generalised density matrix operator proposed by Heinz, to deal with
gauge covariant kinetic equations. In the same context, preliminary aspects of
a Lagrangian formalism to derive kinetic equations, as well as quantum density
matrix equations in curved space-time, are discussed.
|
[
{
"created": "Wed, 23 Dec 1998 13:14:22 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Khanna",
"F. C.",
""
],
[
"Santana",
"A. E.",
""
],
[
"Neto",
"A. Matos",
""
],
[
"Vianna",
"J. D. M.",
""
],
[
"Kopf",
"T.",
""
]
] |
In this work we apply the Lie group representation method introduced in the real time formalism for finite-temperature quantum-field theory, thermofield dynamics, to derive a spinorial density matrix equation. Symmetry properties of such equation are analysed, and as a basic result it is shown that one solution is the generalised density matrix operator proposed by Heinz, to deal with gauge covariant kinetic equations. In the same context, preliminary aspects of a Lagrangian formalism to derive kinetic equations, as well as quantum density matrix equations in curved space-time, are discussed.
| 17.655111
| 19.289408
| 16.984173
| 17.62862
| 17.097349
| 19.966682
| 18.292965
| 16.984787
| 18.514824
| 17.126591
| 16.182093
| 16.077477
| 16.533766
| 16.588289
| 15.720049
| 16.236975
| 16.591248
| 16.198425
| 15.987382
| 15.970021
| 15.983724
|
0807.1564
|
Shinya Tomizawa
|
Shinya Tomizawa and Akihiro Ishibashi
|
Charged Black Holes in a Rotating Gross-Perry-Sorkin Monopole Background
|
25 pages, 6 figures
|
Class.Quant.Grav.25:245007,2008
|
10.1088/0264-9381/25/24/245007
|
KEK-TH-1261
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a new class of stationary charged black hole solutions to
five-dimensional Einstein-Maxwell-Chern-Simons theories. We construct the
solutions by utilizing so called the squashing transformation. At infinity, our
solutions behave as a four-dimensional flat spacetime plus a `circle' and hence
describe a Kaluza-Klein black hole. More precisely, our solutions can be viewed
as a charged rotating black hole in a rotating Gross-Perry-Sorkin monopole
background with the black hole rotation induced from the background rotation.
|
[
{
"created": "Thu, 10 Jul 2008 00:44:30 GMT",
"version": "v1"
}
] |
2008-12-18
|
[
[
"Tomizawa",
"Shinya",
""
],
[
"Ishibashi",
"Akihiro",
""
]
] |
We present a new class of stationary charged black hole solutions to five-dimensional Einstein-Maxwell-Chern-Simons theories. We construct the solutions by utilizing so called the squashing transformation. At infinity, our solutions behave as a four-dimensional flat spacetime plus a `circle' and hence describe a Kaluza-Klein black hole. More precisely, our solutions can be viewed as a charged rotating black hole in a rotating Gross-Perry-Sorkin monopole background with the black hole rotation induced from the background rotation.
| 9.003374
| 7.554833
| 8.448965
| 7.532258
| 7.617405
| 7.57224
| 8.019963
| 7.777704
| 7.933608
| 9.290979
| 7.780362
| 8.069987
| 8.776722
| 8.287848
| 8.200725
| 8.273226
| 7.978684
| 8.278782
| 8.230441
| 8.747411
| 8.175019
|
hep-th/0207186
|
Hagi Ahmedov
|
H. Ahmedov and I.H. Duru
|
Casimir force between surfaces close to each other
|
Latex, 20 pages, added references, corrected typos, changed content
|
J.Math.Phys. 44 (2003) 5487-5503
|
10.1063/1.1624471
|
FGE 02-1
|
hep-th
| null |
Casimir interactions (due to the massless scalar field fluctuations) of two
surfaces which are close to each other are studied.
After a brief general presentation, explicit calculations for co-axial
cylinders, co-centric spheres and co-axial cones are performed.
|
[
{
"created": "Sun, 21 Jul 2002 14:20:37 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Jul 2002 14:01:46 GMT",
"version": "v2"
},
{
"created": "Sun, 9 Feb 2003 13:42:43 GMT",
"version": "v3"
}
] |
2015-06-26
|
[
[
"Ahmedov",
"H.",
""
],
[
"Duru",
"I. H.",
""
]
] |
Casimir interactions (due to the massless scalar field fluctuations) of two surfaces which are close to each other are studied. After a brief general presentation, explicit calculations for co-axial cylinders, co-centric spheres and co-axial cones are performed.
| 13.603639
| 13.483303
| 13.602496
| 11.754034
| 12.496636
| 11.082581
| 12.942388
| 12.286667
| 11.37132
| 14.201404
| 11.961088
| 11.178085
| 12.077583
| 11.809708
| 11.735855
| 11.238905
| 11.535183
| 12.098622
| 11.821574
| 12.100241
| 11.24817
|
hep-th/9410182
|
Hyeonjoon Shin
|
Jae Kwan Kim and Hyeonjoon Shin
|
Low Energy Description of Fermion Pairs in Topologically Massive
QED$_{2+1}$ with $N$ Flavours
|
14 pages, revtex, KAIST-CHEP-94/S3
|
Phys.Lett. B343 (1995) 323-328
|
10.1016/0370-2693(94)01459-P
| null |
hep-th
| null |
In topologically massive QED$_{2+1}$ with $N$ flavours, there is the
possibility that two equal-charged fermions can form a bound state pair in
either s-wave or p-wave. We are concerned about the s-wave pairs and obtain the
low energy effective action describing them. It is shown that the fermion pairs
behave like doubly charged spin-1 bosons and, when they condense, the gauge
field aquires the longitudinal mass. The approximate $SU(2)$ symmetry due to
the similarity between the fermion pairs and the gauge field is discussed.
|
[
{
"created": "Tue, 25 Oct 1994 09:19:39 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Kim",
"Jae Kwan",
""
],
[
"Shin",
"Hyeonjoon",
""
]
] |
In topologically massive QED$_{2+1}$ with $N$ flavours, there is the possibility that two equal-charged fermions can form a bound state pair in either s-wave or p-wave. We are concerned about the s-wave pairs and obtain the low energy effective action describing them. It is shown that the fermion pairs behave like doubly charged spin-1 bosons and, when they condense, the gauge field aquires the longitudinal mass. The approximate $SU(2)$ symmetry due to the similarity between the fermion pairs and the gauge field is discussed.
| 10.879758
| 10.461712
| 10.963287
| 9.84599
| 10.118922
| 9.533944
| 9.337866
| 10.468388
| 9.447723
| 10.110701
| 9.916496
| 9.87018
| 9.987167
| 9.498312
| 9.957281
| 10.17497
| 9.75627
| 9.945345
| 9.451669
| 9.758872
| 9.609501
|
1607.07301
|
Dong Bai
|
Dong Bai
|
Softness, Polynomial Boundedness and Amplitudes' Positivity
|
7 pages; accepted version
| null |
10.1209/0295-5075/120/21001
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note, we study the connections between infrared (IR) and ultraviolet
(UV) behaviors of scattering amplitudes of massless channels by exploiting
dispersion relations and positivity bounds. Given forward scattering
amplitudes, which scale as $\mathcal{A}(s)\sim s^M$ in the IR ($s\to0$) and
could be embedded into UV completions satisfying unitarity, analyticity,
crossing symmetry and polynomial boundedness $|\mathcal{A}(s)|< c\, |s|^N$
($|s|\to\infty$), with $M$ and $N$ integers, we show that the inequality
$2\ceil*{\frac{N}{2}}\ge M \ge \ceil*{\frac{N}{2}}$ must hold, where
$\ceil*{x}$ is the smallest integer greater than or equal to $x$. One immediate
consequence of the above inequality is the bound on the UV growth of scattering
amplitudes in terms of their IR behaviors. Our results could be useful in
studies of massless higher spin particles, as well as the program of UV
improvement and weakly-coupled UV completion.
|
[
{
"created": "Mon, 25 Jul 2016 15:02:46 GMT",
"version": "v1"
},
{
"created": "Sat, 10 Sep 2016 11:03:59 GMT",
"version": "v2"
},
{
"created": "Wed, 13 Dec 2017 16:32:30 GMT",
"version": "v3"
}
] |
2018-02-14
|
[
[
"Bai",
"Dong",
""
]
] |
In this note, we study the connections between infrared (IR) and ultraviolet (UV) behaviors of scattering amplitudes of massless channels by exploiting dispersion relations and positivity bounds. Given forward scattering amplitudes, which scale as $\mathcal{A}(s)\sim s^M$ in the IR ($s\to0$) and could be embedded into UV completions satisfying unitarity, analyticity, crossing symmetry and polynomial boundedness $|\mathcal{A}(s)|< c\, |s|^N$ ($|s|\to\infty$), with $M$ and $N$ integers, we show that the inequality $2\ceil*{\frac{N}{2}}\ge M \ge \ceil*{\frac{N}{2}}$ must hold, where $\ceil*{x}$ is the smallest integer greater than or equal to $x$. One immediate consequence of the above inequality is the bound on the UV growth of scattering amplitudes in terms of their IR behaviors. Our results could be useful in studies of massless higher spin particles, as well as the program of UV improvement and weakly-coupled UV completion.
| 5.686126
| 5.489715
| 5.675077
| 5.305986
| 5.436583
| 5.467332
| 5.818218
| 5.309001
| 5.271434
| 5.736131
| 5.309963
| 5.511427
| 5.52534
| 5.501333
| 5.477069
| 5.401632
| 5.335971
| 5.511784
| 5.479182
| 5.594727
| 5.402773
|
1301.0969
|
Yong-Wan Kim
|
Yong-Wan Kim, Yun Soo Myung, Young-Jai Park
|
A massive graviton in topologically new massive gravity
|
13 pages, REVTeX, version to appear in PRD
| null |
10.1103/PhysRevD.87.064020
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the topologically new massive gravity in three dimensions. It
turns out that a single massive mode is propagating in the flat spacetime,
comparing to the conformal Chern-Simons gravity which has no physically
propagating degrees of freedom. Also we discuss the realization of the BMS/GCA
correspondence.
|
[
{
"created": "Sun, 6 Jan 2013 03:20:18 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Mar 2013 01:28:40 GMT",
"version": "v2"
}
] |
2013-03-27
|
[
[
"Kim",
"Yong-Wan",
""
],
[
"Myung",
"Yun Soo",
""
],
[
"Park",
"Young-Jai",
""
]
] |
We investigate the topologically new massive gravity in three dimensions. It turns out that a single massive mode is propagating in the flat spacetime, comparing to the conformal Chern-Simons gravity which has no physically propagating degrees of freedom. Also we discuss the realization of the BMS/GCA correspondence.
| 11.591763
| 8.923772
| 11.115677
| 10.4741
| 10.107972
| 10.667458
| 10.18709
| 9.312052
| 10.113189
| 13.196429
| 9.998394
| 9.941803
| 11.335989
| 10.499716
| 10.24697
| 10.521813
| 10.454378
| 10.275731
| 10.689867
| 11.844386
| 10.470305
|
hep-th/9410197
|
Gary McCartor
|
Gary McCartor
|
The Vacuum in the Light-Cone Representation
|
7pages, SMUHEP/94-24
| null | null | null |
hep-th
| null |
The mechanism by which the physical vacuum can be different from the
perturbative vacuum in the light-cone representation is described and
illustrated.
|
[
{
"created": "Wed, 26 Oct 1994 15:34:00 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"McCartor",
"Gary",
""
]
] |
The mechanism by which the physical vacuum can be different from the perturbative vacuum in the light-cone representation is described and illustrated.
| 25.064074
| 11.16377
| 12.875251
| 10.882157
| 9.98143
| 11.657017
| 11.091271
| 11.084864
| 10.748673
| 14.173806
| 13.334996
| 13.265627
| 14.147042
| 13.090104
| 13.443065
| 13.474418
| 13.636332
| 13.319967
| 12.950855
| 14.417245
| 15.508819
|
hep-th/0409273
|
Daniel Grumiller
|
L. Bergamin, D. Grumiller, A. Iorio and C. Nunez
|
Chemistry of Chern-Simons Supergravity: reduction to a BPS kink,
oxidation to M-theory and thermodynamical aspects
|
39 pages, 2 figures. v2: reference added, minor changes, typos
|
JHEP0411:021,2004
|
10.1088/1126-6708/2004/11/021
|
TUW-04-27, LU-ITP-04/022, MIT-CTP-3546
|
hep-th gr-qc
| null |
We construct a supersymmetric extension of the two dimensional
Kaluza-Klein-reduced gravitational Chern-Simons term, and globally study its
solutions, labelled by mass and U(1) charge c. The kink solution is BPS, and in
an appropriate conformal frame all solutions asymptotically approach AdS. The
thermodynamics of the Hawking effect yields interesting behavior for the
specific heat and hints at a Hawking-Page-like transition at T_{critical} \sim
c^{3/2}. We address implications for higher dimensions ("oxidation"), in
particular D=3,4 and 11, and comment briefly on AdS/CFT aspects of the kink.
|
[
{
"created": "Mon, 27 Sep 2004 15:46:56 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Nov 2004 10:37:13 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Bergamin",
"L.",
""
],
[
"Grumiller",
"D.",
""
],
[
"Iorio",
"A.",
""
],
[
"Nunez",
"C.",
""
]
] |
We construct a supersymmetric extension of the two dimensional Kaluza-Klein-reduced gravitational Chern-Simons term, and globally study its solutions, labelled by mass and U(1) charge c. The kink solution is BPS, and in an appropriate conformal frame all solutions asymptotically approach AdS. The thermodynamics of the Hawking effect yields interesting behavior for the specific heat and hints at a Hawking-Page-like transition at T_{critical} \sim c^{3/2}. We address implications for higher dimensions ("oxidation"), in particular D=3,4 and 11, and comment briefly on AdS/CFT aspects of the kink.
| 15.960232
| 14.304364
| 17.122004
| 15.119327
| 14.933494
| 15.346657
| 14.463876
| 15.550176
| 13.576163
| 16.849485
| 14.465282
| 15.22948
| 16.149426
| 14.828922
| 14.565679
| 14.987646
| 14.658498
| 14.871097
| 14.742797
| 15.683197
| 14.651167
|
hep-th/0411193
|
Paolo Grinza
|
P. Grinza and B. Ponsot
|
Form factors in the massless coset models su(2)_k+1 \otimes su(2)_k
/su(2)_2k+1 - Part II
|
16 pages, 4 eps figure, LaTeX; v2: numerical checks improved, to
appear in Nucl. Phys. B
|
Nucl.Phys. B718 (2005) 394-412
|
10.1016/j.nuclphysb.2005.04.018
| null |
hep-th cond-mat.stat-mech math-ph math.MP
| null |
Massless flows from the coset model su(2)_k+1 \otimes su(2)_k /su(2)_2k+1 to
the minimal model M_k+2 are studied from the viewpoint of form factors. These
flows include in particular the flow from the Tricritical Ising model to the
Ising model. By analogy with the magnetization operator in the flow TIM -> IM,
we construct all form factors of an operator that flows to \Phi_1,2 in the IR.
We make a numerical estimation of the difference of conformal weights between
the UV and the IR thanks to the \Delta-sum rule; the results are consistent
with the conformal weight of the operator \Phi_2,2 in the UV. By analogy with
the energy operator in the flow TIM -> IM, we construct all form factors of an
operator that flows to \Phi_2,1. We propose to identify the operator in the UV
with \sigma_1\Phi_1,2.
|
[
{
"created": "Mon, 22 Nov 2004 12:10:58 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Apr 2005 09:14:18 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Grinza",
"P.",
""
],
[
"Ponsot",
"B.",
""
]
] |
Massless flows from the coset model su(2)_k+1 \otimes su(2)_k /su(2)_2k+1 to the minimal model M_k+2 are studied from the viewpoint of form factors. These flows include in particular the flow from the Tricritical Ising model to the Ising model. By analogy with the magnetization operator in the flow TIM -> IM, we construct all form factors of an operator that flows to \Phi_1,2 in the IR. We make a numerical estimation of the difference of conformal weights between the UV and the IR thanks to the \Delta-sum rule; the results are consistent with the conformal weight of the operator \Phi_2,2 in the UV. By analogy with the energy operator in the flow TIM -> IM, we construct all form factors of an operator that flows to \Phi_2,1. We propose to identify the operator in the UV with \sigma_1\Phi_1,2.
| 7.306141
| 7.896881
| 9.450886
| 6.829741
| 6.904471
| 6.788573
| 7.218766
| 7.027238
| 7.217496
| 9.744744
| 6.648269
| 6.987342
| 8.414832
| 6.978679
| 6.949872
| 6.837543
| 7.015163
| 7.005374
| 7.228315
| 7.914553
| 7.008498
|
0801.2385
|
Jared Kaplan
|
Nima Arkani-Hamed and Jared Kaplan
|
On Tree Amplitudes in Gauge Theory and Gravity
|
22 pages, 3 figures
|
JHEP 0804:076,2008
|
10.1088/1126-6708/2008/04/076
| null |
hep-th
| null |
The BCFW recursion relations provide a powerful way to compute tree
amplitudes in gauge theories and gravity, but only hold if some amplitudes
vanish when two of the momenta are taken to infinity in a particular complex
direction. This is a very surprising property, since individual Feynman
diagrams all diverge at infinite momentum. In this paper we give a simple
physical understanding of amplitudes in this limit, which corresponds to a hard
particle with (complex) light-like momentum moving in a soft background, and
can be conveniently studied using the background field method exploiting
background light-cone gauge. An important role is played by enhanced spin
symmetries at infinite momentum--a single copy of a "Lorentz" group for gauge
theory and two copies for gravity--which together with Ward identities give a
systematic expansion for amplitudes at large momentum. We use this to study
tree amplitudes in a wide variety of theories, and in particular demonstrate
that certain pure gauge and gravity amplitudes do vanish at infinity. Thus the
BCFW recursion relations can be used to compute completely general gluon and
graviton tree amplitudes in any number of dimensions. We briefly comment on the
implications of these results for computing massive 4D amplitudes by KK
reduction, as well understanding the unexpected cancelations that have recently
been found in loop-level gravity amplitudes.
|
[
{
"created": "Wed, 16 Jan 2008 17:12:56 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Arkani-Hamed",
"Nima",
""
],
[
"Kaplan",
"Jared",
""
]
] |
The BCFW recursion relations provide a powerful way to compute tree amplitudes in gauge theories and gravity, but only hold if some amplitudes vanish when two of the momenta are taken to infinity in a particular complex direction. This is a very surprising property, since individual Feynman diagrams all diverge at infinite momentum. In this paper we give a simple physical understanding of amplitudes in this limit, which corresponds to a hard particle with (complex) light-like momentum moving in a soft background, and can be conveniently studied using the background field method exploiting background light-cone gauge. An important role is played by enhanced spin symmetries at infinite momentum--a single copy of a "Lorentz" group for gauge theory and two copies for gravity--which together with Ward identities give a systematic expansion for amplitudes at large momentum. We use this to study tree amplitudes in a wide variety of theories, and in particular demonstrate that certain pure gauge and gravity amplitudes do vanish at infinity. Thus the BCFW recursion relations can be used to compute completely general gluon and graviton tree amplitudes in any number of dimensions. We briefly comment on the implications of these results for computing massive 4D amplitudes by KK reduction, as well understanding the unexpected cancelations that have recently been found in loop-level gravity amplitudes.
| 8.82324
| 9.271712
| 9.441685
| 8.354166
| 8.81356
| 9.421363
| 8.689827
| 8.647463
| 8.419581
| 10.570941
| 8.36151
| 8.386558
| 8.943238
| 8.446413
| 8.249178
| 8.372422
| 8.145893
| 8.613094
| 8.403538
| 8.708003
| 8.186535
|
1107.4642
|
Emilio Elizalde
|
I. Brevik, E. Elizalde, S. Nojiri, S.D. Odintsov
|
Viscous Little Rip Cosmology
|
10 pages, version to appear in PRD
| null |
10.1103/PhysRevD.84.103508
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Dark energy of phantom or quintessence nature with an equation of state
parameter $w$ almost equal to -1 often leads the universe evolution to a
finite-time future singularity. An elegant solution to this problem has been
recently proposed \cite{frampton11} under the form of the so-called Little Rip
cosmology which appears to be a realistic alternative to the $\Lambda$CDM
model. A viscous Little Rip cosmology is here proposed. Whereas generically
bulk viscosity tends to promote the Big Rip, we find that there are a number of
situations where this is not the case and where the formalism nicely adjusts
itself to the Little Rip scenario. We prove, in particular, that a viscous
fluid (or, equivalently, one with an inhomogeneous (imperfect) equation of
state) is perfectly able to produce a Little Rip cosmology as a purely
viscosity effect. The possibility of its induction as a combined result of
viscosity and a general (power-like) equation of state is also investigated in
detail. To finish, a physical, inertial force interpretation of the dissolution
of bound structures in the Little Rip cosmology is presented.
|
[
{
"created": "Fri, 22 Jul 2011 23:08:41 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Oct 2011 15:45:50 GMT",
"version": "v2"
}
] |
2013-05-29
|
[
[
"Brevik",
"I.",
""
],
[
"Elizalde",
"E.",
""
],
[
"Nojiri",
"S.",
""
],
[
"Odintsov",
"S. D.",
""
]
] |
Dark energy of phantom or quintessence nature with an equation of state parameter $w$ almost equal to -1 often leads the universe evolution to a finite-time future singularity. An elegant solution to this problem has been recently proposed \cite{frampton11} under the form of the so-called Little Rip cosmology which appears to be a realistic alternative to the $\Lambda$CDM model. A viscous Little Rip cosmology is here proposed. Whereas generically bulk viscosity tends to promote the Big Rip, we find that there are a number of situations where this is not the case and where the formalism nicely adjusts itself to the Little Rip scenario. We prove, in particular, that a viscous fluid (or, equivalently, one with an inhomogeneous (imperfect) equation of state) is perfectly able to produce a Little Rip cosmology as a purely viscosity effect. The possibility of its induction as a combined result of viscosity and a general (power-like) equation of state is also investigated in detail. To finish, a physical, inertial force interpretation of the dissolution of bound structures in the Little Rip cosmology is presented.
| 10.793077
| 11.80691
| 10.011673
| 10.068627
| 10.883299
| 10.304405
| 11.357007
| 10.320704
| 10.874563
| 10.83371
| 10.308947
| 10.224002
| 10.226883
| 10.299994
| 10.673546
| 10.456515
| 10.64689
| 10.051394
| 10.884093
| 10.271474
| 10.444259
|
2207.00399
|
Harold Steinacker
|
Joanna L. Karczmarek, Harold C. Steinacker
|
Cosmic time evolution and propagator from a Yang-Mills matrix model
|
26 apages, 1 figure. V2: pre-and post-BB correlation fixed,
references added. V3: improved presentation, published version
| null |
10.1088/1751-8121/acc61e
|
UWThPh-2022-8
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a solution of a IKKT-type matrix model which can be considered as
a 1+1-dimensional space-time with Minkowski signature and a Big Bounce-like
singularity. A suitable $i\varepsilon$ regularization of the Lorentzian matrix
integral is proposed, which leads to the standard $i\varepsilon$-prescription
for the effective field theory. In particular, the Feynman propagator is
recovered locally for late times. This demonstrates that a causal structure and
time evolution can emerge in the matrix model, even on non-trivial geometries.
We also consider the propagation of modes through the Big Bounce, and observe
an interesting correlation between the post-BB and pre-BB sheets, which
reflects the structure of the brane in target space.
|
[
{
"created": "Fri, 1 Jul 2022 13:13:52 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Nov 2022 10:35:16 GMT",
"version": "v2"
},
{
"created": "Mon, 27 Mar 2023 08:44:09 GMT",
"version": "v3"
}
] |
2023-04-12
|
[
[
"Karczmarek",
"Joanna L.",
""
],
[
"Steinacker",
"Harold C.",
""
]
] |
We consider a solution of a IKKT-type matrix model which can be considered as a 1+1-dimensional space-time with Minkowski signature and a Big Bounce-like singularity. A suitable $i\varepsilon$ regularization of the Lorentzian matrix integral is proposed, which leads to the standard $i\varepsilon$-prescription for the effective field theory. In particular, the Feynman propagator is recovered locally for late times. This demonstrates that a causal structure and time evolution can emerge in the matrix model, even on non-trivial geometries. We also consider the propagation of modes through the Big Bounce, and observe an interesting correlation between the post-BB and pre-BB sheets, which reflects the structure of the brane in target space.
| 11.054805
| 9.517102
| 10.29899
| 9.681847
| 9.778273
| 9.664808
| 9.894177
| 9.635281
| 9.338602
| 10.996085
| 9.437298
| 9.293392
| 9.595686
| 9.507894
| 9.365923
| 9.294535
| 9.286382
| 9.386292
| 9.58322
| 9.477331
| 9.620268
|
1209.4681
|
Alfredo Suzuki T
|
Alfredo Takashi Suzuki, Jorge Henrique Sales and Luis Alberto Soriano
|
Zero Mode Effect Generalization for the Electromagnetic Current in the
Light Front
|
13 pages, 3 figures. arXiv admin note: substantial text overlap with
arXiv:hep-th/0509116
| null |
10.1103/PhysRevD.88.025036
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider in this work the electromagnetic current for a system composed by
two charged bosons and show that it has a structure of many bodies even in the
impulse approximation, when described in the light front time $x^+$. In terms
of the two-body component for the bound state, the current contains two-body
operators. We discuss the process of pair creation from the interacting photon
and interpret it as a zero mode contribution to the current and its
consequences for the components of currents in the light-front.
|
[
{
"created": "Thu, 20 Sep 2012 22:49:11 GMT",
"version": "v1"
}
] |
2013-08-09
|
[
[
"Suzuki",
"Alfredo Takashi",
""
],
[
"Sales",
"Jorge Henrique",
""
],
[
"Soriano",
"Luis Alberto",
""
]
] |
We consider in this work the electromagnetic current for a system composed by two charged bosons and show that it has a structure of many bodies even in the impulse approximation, when described in the light front time $x^+$. In terms of the two-body component for the bound state, the current contains two-body operators. We discuss the process of pair creation from the interacting photon and interpret it as a zero mode contribution to the current and its consequences for the components of currents in the light-front.
| 20.647345
| 18.470171
| 17.842993
| 17.079679
| 16.737999
| 19.097429
| 17.412315
| 19.738234
| 16.847176
| 18.142231
| 18.14731
| 17.874207
| 17.563147
| 17.996607
| 18.244604
| 18.834736
| 17.838501
| 18.388037
| 17.724079
| 18.563377
| 18.821156
|
1701.05103
|
Milad Porforough
|
Milad Porforough
|
Magnetic charge quantization from SYM considerations
|
11 pages, minor changes, published version
| null |
10.1209/0295-5075/127/41001
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
An intersecting D3-D3' system contains magnetic monopole solutions due to D-
strings stretched between two branes. These magnetic charges satisfy the usual
Dirac quantization relation. We show that this quantization condition can also
be obtained directly by SUSY and gauge invariance arguments of the theory and
conclude that the independence of physics from a shift of holonomy is exactly
equivalent to regarding a {\it Fayet-Iliopoulos (FI) gauge} for our set-up. So
we are led to conjecture that there is a correspondence between the topological
point of view of magnetic charges and SYM considerations of their theories.
This picture implies that one can attribute a definite quantity to the
integration of the vector multiplet over the singular region such that we can
identify it with magnetic flux. It also indicates that the FI parameter is
proportional to the magnetic charge so it is a quantized number.
|
[
{
"created": "Wed, 18 Jan 2017 15:30:27 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Mar 2017 13:44:40 GMT",
"version": "v2"
},
{
"created": "Thu, 27 Jul 2017 13:46:34 GMT",
"version": "v3"
},
{
"created": "Fri, 27 Sep 2019 15:07:56 GMT",
"version": "v4"
}
] |
2019-09-30
|
[
[
"Porforough",
"Milad",
""
]
] |
An intersecting D3-D3' system contains magnetic monopole solutions due to D- strings stretched between two branes. These magnetic charges satisfy the usual Dirac quantization relation. We show that this quantization condition can also be obtained directly by SUSY and gauge invariance arguments of the theory and conclude that the independence of physics from a shift of holonomy is exactly equivalent to regarding a {\it Fayet-Iliopoulos (FI) gauge} for our set-up. So we are led to conjecture that there is a correspondence between the topological point of view of magnetic charges and SYM considerations of their theories. This picture implies that one can attribute a definite quantity to the integration of the vector multiplet over the singular region such that we can identify it with magnetic flux. It also indicates that the FI parameter is proportional to the magnetic charge so it is a quantized number.
| 20.492182
| 21.19112
| 19.512667
| 17.50975
| 20.061331
| 19.573273
| 19.977859
| 18.880396
| 18.641251
| 20.981718
| 17.763212
| 17.490042
| 18.939156
| 17.633244
| 17.588453
| 17.424154
| 17.506674
| 17.089504
| 17.893915
| 18.536718
| 16.985554
|
hep-th/0410279
|
Oscar J. C. Dias
|
Oscar J. C. Dias, Jose' P. S. Lemos
|
Pair creation of higher dimensional black holes on a de Sitter
background
|
10 pages; 1 figure included; RexTeX4. v2: References added. Published
version. v3: Typo in equation (46) fixed
|
Phys.Rev. D70 (2004) 124023
|
10.1103/PhysRevD.70.124023
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study in detail the quantum process in which a pair of black holes is
created in a higher D-dimensional de Sitter (dS) background. The energy to
materialize and accelerate the pair comes from the positive cosmological
constant. The instantons that describe the process are obtained from the
Tangherlini black hole solutions. Our pair creation rates reduce to the pair
creation rate for Reissner-Nordstrom-dS solutions when D=4. Pair creation of
black holes in the dS background becomes less suppressed when the dimension of
the spacetime increases. The dS space is the only background in which we can
discuss analytically the pair creation process of higher dimensional black
holes, since the C-metric and the Ernst solutions, that describe respectively a
pair accelerated by a string and by an electromagnetic field, are not know yet
in a higher dimensional spacetime.
|
[
{
"created": "Thu, 28 Oct 2004 17:07:47 GMT",
"version": "v1"
},
{
"created": "Sun, 19 Dec 2004 21:47:29 GMT",
"version": "v2"
},
{
"created": "Tue, 3 Nov 2009 21:20:43 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Dias",
"Oscar J. C.",
""
],
[
"Lemos",
"Jose' P. S.",
""
]
] |
We study in detail the quantum process in which a pair of black holes is created in a higher D-dimensional de Sitter (dS) background. The energy to materialize and accelerate the pair comes from the positive cosmological constant. The instantons that describe the process are obtained from the Tangherlini black hole solutions. Our pair creation rates reduce to the pair creation rate for Reissner-Nordstrom-dS solutions when D=4. Pair creation of black holes in the dS background becomes less suppressed when the dimension of the spacetime increases. The dS space is the only background in which we can discuss analytically the pair creation process of higher dimensional black holes, since the C-metric and the Ernst solutions, that describe respectively a pair accelerated by a string and by an electromagnetic field, are not know yet in a higher dimensional spacetime.
| 8.338959
| 7.649178
| 8.080072
| 7.536348
| 6.947268
| 7.170794
| 7.33785
| 7.282996
| 7.601483
| 8.272076
| 7.877519
| 7.838229
| 8.136562
| 8.06406
| 7.727094
| 7.865851
| 7.789182
| 7.761374
| 8.027012
| 8.171118
| 8.006654
|
hep-th/0209212
|
Kaustubh Agashe
|
K. Agashe, A. Delgado (Johns Hopkins University)
|
A note on CFT dual of RS model with gauge fields in bulk
|
Latex, 18 pages. In the revised version, conclusions and equations in
sections 3 and 4 (which provide more mathematical backing for the duality)
have been added
|
Phys.Rev. D67 (2003) 046003
|
10.1103/PhysRevD.67.046003
| null |
hep-th hep-ph
| null |
It has been conjectured that the (weakly coupled) Randall-Sundrum (RS) model
with gauge fields in the bulk is dual to a (strongly coupled) 4D conformal
field theory (CFT) with an UV cut-off and in which global symmetries of the CFT
are gauged. We elucidate features of this dual CFT which are crucial for a
complete understanding of the proposed duality. We argue that the limit of no
(or small) brane-localized kinetic term for bulk gauge field on the RS side
(often studied in the literature) is dual to no bare kinetic term for the gauge
field which is coupled to the CFT global current. In this limit, the kinetic
term for this gauge field in the dual CFT is ``induced'' by CFT loops. Then,
this CFT loop contribution to the gauge field 1PI two-point function is dual
(on the RS side) to the full gauge propagator (i.e., including the contribution
of Kaluza-Klein and zero-modes) with both external points on the Planck brane.
We also emphasize that loop corrections to the gauge coupling on the RS side
are dual to sub-leading effects in a large-N expansion on the CFT side; these
sub-leading corrections to the gauge coupling in the dual CFT are (in general)
sensitive to the strong dynamics of the CFT.
|
[
{
"created": "Wed, 25 Sep 2002 18:05:48 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Dec 2002 20:59:37 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Agashe",
"K.",
"",
"Johns Hopkins University"
],
[
"Delgado",
"A.",
"",
"Johns Hopkins University"
]
] |
It has been conjectured that the (weakly coupled) Randall-Sundrum (RS) model with gauge fields in the bulk is dual to a (strongly coupled) 4D conformal field theory (CFT) with an UV cut-off and in which global symmetries of the CFT are gauged. We elucidate features of this dual CFT which are crucial for a complete understanding of the proposed duality. We argue that the limit of no (or small) brane-localized kinetic term for bulk gauge field on the RS side (often studied in the literature) is dual to no bare kinetic term for the gauge field which is coupled to the CFT global current. In this limit, the kinetic term for this gauge field in the dual CFT is ``induced'' by CFT loops. Then, this CFT loop contribution to the gauge field 1PI two-point function is dual (on the RS side) to the full gauge propagator (i.e., including the contribution of Kaluza-Klein and zero-modes) with both external points on the Planck brane. We also emphasize that loop corrections to the gauge coupling on the RS side are dual to sub-leading effects in a large-N expansion on the CFT side; these sub-leading corrections to the gauge coupling in the dual CFT are (in general) sensitive to the strong dynamics of the CFT.
| 5.797474
| 6.106394
| 5.899167
| 5.484131
| 6.323775
| 6.034391
| 6.088594
| 5.756642
| 5.741908
| 6.30281
| 5.848393
| 5.871006
| 5.786119
| 5.591436
| 5.819479
| 5.774195
| 5.807213
| 5.771726
| 5.652277
| 5.770535
| 5.763552
|
1001.4779
|
Constantinos Papageorgakis
|
Neil Lambert and Constantinos Papageorgakis
|
Relating U(N)xU(N) to SU(N)xSU(N) Chern-Simons Membrane theories
|
16 pages, Latex; v2: references added; v3: Clarifications added
|
JHEP 1004:104,2010
|
10.1007/JHEP04(2010)104
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
By integrating out the U(1)_B gauge field, we show that the U(n)xU(n) ABJM
theory at level k is equivalent to a Z_k identification of the
(SU(n)xSU(n))/Z_n Chern-Simons theory, but only when n and k are coprime. As a
consequence, the k=1 ABJM model for two M2-branes in R^8 can be identified with
the N=8 (SU(2)xSU(2))/Z_2 theory. We also conjecture that the U(2)xU(2) ABJM
model at k=2 is equivalent to the N=8 SU(2)xSU(2)-theory.
|
[
{
"created": "Tue, 26 Jan 2010 19:22:38 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Feb 2010 18:07:10 GMT",
"version": "v2"
},
{
"created": "Wed, 14 Apr 2010 17:22:22 GMT",
"version": "v3"
}
] |
2014-11-20
|
[
[
"Lambert",
"Neil",
""
],
[
"Papageorgakis",
"Constantinos",
""
]
] |
By integrating out the U(1)_B gauge field, we show that the U(n)xU(n) ABJM theory at level k is equivalent to a Z_k identification of the (SU(n)xSU(n))/Z_n Chern-Simons theory, but only when n and k are coprime. As a consequence, the k=1 ABJM model for two M2-branes in R^8 can be identified with the N=8 (SU(2)xSU(2))/Z_2 theory. We also conjecture that the U(2)xU(2) ABJM model at k=2 is equivalent to the N=8 SU(2)xSU(2)-theory.
| 4.920894
| 4.474389
| 5.566748
| 4.403246
| 4.389637
| 4.649835
| 4.386726
| 4.35517
| 4.308976
| 5.611632
| 4.48782
| 4.186452
| 5.148472
| 4.462618
| 4.298725
| 4.366954
| 4.354033
| 4.425555
| 4.322123
| 4.758209
| 4.516992
|
hep-th/9312171
| null |
M. Cadoni and S. Mignemi
|
Classical and Semiclassical Properties of Extremal Black Holes with
Dilaton and Modulus Fields
|
25 pages (3 figures available upon request), plain TEX,INFN-CA-20-93
(typographical errors corrected)
|
Nucl.Phys.B427:669-696,1994
|
10.1016/0550-3213(94)90644-0
| null |
hep-th gr-qc
| null |
We discuss both classical and semiclassical properties of extremal black
holes in theories where the dilaton and a modulus field are present. We find
that the corresponding 2-dim geometry is asymptotically anti-de Sitter rather
then asymptotically flat as in the purely dilatonic case. This fact has many
important consequences, which we analyze at length, both for the classical
behaviour and for the thermodynamical properties of the black hole. We also
study the Hawking evaporation process in the semiclassical approximation. The
calculations strongly indicates the emergence of a stable ground state as the
end point of the process. Some comments are made about the relevance of our
results for the problem of information loss in black hole physics.
|
[
{
"created": "Tue, 21 Dec 1993 22:05:00 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Jan 1994 12:13:00 GMT",
"version": "v2"
}
] |
2010-11-01
|
[
[
"Cadoni",
"M.",
""
],
[
"Mignemi",
"S.",
""
]
] |
We discuss both classical and semiclassical properties of extremal black holes in theories where the dilaton and a modulus field are present. We find that the corresponding 2-dim geometry is asymptotically anti-de Sitter rather then asymptotically flat as in the purely dilatonic case. This fact has many important consequences, which we analyze at length, both for the classical behaviour and for the thermodynamical properties of the black hole. We also study the Hawking evaporation process in the semiclassical approximation. The calculations strongly indicates the emergence of a stable ground state as the end point of the process. Some comments are made about the relevance of our results for the problem of information loss in black hole physics.
| 7.666595
| 6.618004
| 7.475741
| 6.737636
| 6.991428
| 6.620296
| 6.8785
| 6.618167
| 6.820379
| 7.497153
| 6.644434
| 7.054942
| 7.163029
| 6.879656
| 7.118261
| 7.124207
| 7.217984
| 6.933697
| 7.145658
| 7.277918
| 6.966904
|
1007.2412
|
Andrew Fitzpatrick
|
A. Liam Fitzpatrick, Emanuel Katz, David Poland, David Simmons-Duffin
|
Effective Conformal Theory and the Flat-Space Limit of AdS
|
46 pages, 2 figures. v2: JHEP published version
|
JHEP 1107:023,2011
|
10.1007/JHEP07(2011)023
|
BUHET-07-14-10
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We develop the idea of an effective conformal theory describing the low-lying
spectrum of the dilatation operator in a CFT. Such an effective theory is
useful when the spectrum contains a hierarchy in the dimension of operators,
and a small parameter whose role is similar to that of 1/N in a large N gauge
theory. These criteria insure that there is a regime where the dilatation
operator is modified perturbatively. Global AdS is the natural framework for
perturbations of the dilatation operator respecting conformal invariance, much
as Minkowski space naturally describes Lorentz invariant perturbations of the
Hamiltonian. Assuming that the lowest-dimension single-trace operator is a
scalar, O, we consider the anomalous dimensions, gamma(n,l), of the
double-trace operators of the form O (del^2)^n (del)^l O. Purely from the CFT
we find that perturbative unitarity places a bound on these dimensions of
|gamma(n,l)|<4. Non-renormalizable AdS interactions lead to violations of the
bound at large values of n. We also consider the case that these interactions
are generated by integrating out a heavy scalar field in AdS. We show that the
presence of the heavy field "unitarizes" the growth in the anomalous
dimensions, and leads to a resonance-like behavior in gamma(n,l) when n is
close to the dimension of the CFT operator dual to the heavy field. Finally, we
demonstrate that bulk flat-space S-matrix elements can be extracted from the
large n behavior of the anomalous dimensions. This leads to a direct connection
between the spectrum of anomalous dimensions in d-dimensional CFTs and
flat-space S-matrix elements in d+1 dimensions. We comment on the emergence of
flat-space locality from the CFT perspective.
|
[
{
"created": "Wed, 14 Jul 2010 20:00:02 GMT",
"version": "v1"
},
{
"created": "Sat, 8 Oct 2011 00:24:36 GMT",
"version": "v2"
}
] |
2011-10-11
|
[
[
"Fitzpatrick",
"A. Liam",
""
],
[
"Katz",
"Emanuel",
""
],
[
"Poland",
"David",
""
],
[
"Simmons-Duffin",
"David",
""
]
] |
We develop the idea of an effective conformal theory describing the low-lying spectrum of the dilatation operator in a CFT. Such an effective theory is useful when the spectrum contains a hierarchy in the dimension of operators, and a small parameter whose role is similar to that of 1/N in a large N gauge theory. These criteria insure that there is a regime where the dilatation operator is modified perturbatively. Global AdS is the natural framework for perturbations of the dilatation operator respecting conformal invariance, much as Minkowski space naturally describes Lorentz invariant perturbations of the Hamiltonian. Assuming that the lowest-dimension single-trace operator is a scalar, O, we consider the anomalous dimensions, gamma(n,l), of the double-trace operators of the form O (del^2)^n (del)^l O. Purely from the CFT we find that perturbative unitarity places a bound on these dimensions of |gamma(n,l)|<4. Non-renormalizable AdS interactions lead to violations of the bound at large values of n. We also consider the case that these interactions are generated by integrating out a heavy scalar field in AdS. We show that the presence of the heavy field "unitarizes" the growth in the anomalous dimensions, and leads to a resonance-like behavior in gamma(n,l) when n is close to the dimension of the CFT operator dual to the heavy field. Finally, we demonstrate that bulk flat-space S-matrix elements can be extracted from the large n behavior of the anomalous dimensions. This leads to a direct connection between the spectrum of anomalous dimensions in d-dimensional CFTs and flat-space S-matrix elements in d+1 dimensions. We comment on the emergence of flat-space locality from the CFT perspective.
| 6.654396
| 7.362821
| 7.244888
| 7.024865
| 7.386271
| 7.438137
| 7.252149
| 7.195664
| 7.065998
| 7.584165
| 6.930354
| 6.735435
| 6.977957
| 6.627883
| 6.730643
| 6.784754
| 6.669894
| 6.864003
| 6.65596
| 6.827374
| 6.713862
|
1304.3398
|
Walter Tangarife
|
Elena Caceres, Arnab Kundu, Juan F. Pedraza and Walter Tangarife
|
Strong Subadditivity, Null Energy Condition and Charged Black Holes
|
27 pages, v3 matches the published version
|
JHEP 01 (2014) 084
|
10.1007/JHEP01(2014)084
|
UTTG-08-13; TCC-005-13
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using the Hubeny-Rangamani-Takayanagi (HRT) conjectured formula for
entanglement entropy in the context of the AdS/CFT correspondence with
time-dependent backgrounds, we investigate the relation between the bulk null
energy condition (NEC) of the stress-energy tensor with the strong
sub-additivity (SSA) property of entanglement entropy in the boundary theory.
In a background that interpolates between an AdS to an
AdS-Reissner-Nordstrom-type geometry, we find that generically there always
exists a critical surface beyond which the violation of NEC would naively
occur. However, the extremal area surfaces that determine the entanglement
entropy for the boundary theory, can penetrate into this forbidden region only
for certain choices for the mass and the charge functions in the background.
This penetration is then perceived as the violation of SSA in the boundary
theory. We also find that this happens only when the critical surface lies
above the apparent horizon, but not otherwise. We conjecture that SSA, which is
thus non-trivially related to NEC, also characterizes the entire time-evolution
process along which the dual field theory may thermalize.
|
[
{
"created": "Thu, 11 Apr 2013 19:13:10 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Apr 2013 19:06:37 GMT",
"version": "v2"
},
{
"created": "Wed, 19 Mar 2014 16:01:09 GMT",
"version": "v3"
}
] |
2014-03-20
|
[
[
"Caceres",
"Elena",
""
],
[
"Kundu",
"Arnab",
""
],
[
"Pedraza",
"Juan F.",
""
],
[
"Tangarife",
"Walter",
""
]
] |
Using the Hubeny-Rangamani-Takayanagi (HRT) conjectured formula for entanglement entropy in the context of the AdS/CFT correspondence with time-dependent backgrounds, we investigate the relation between the bulk null energy condition (NEC) of the stress-energy tensor with the strong sub-additivity (SSA) property of entanglement entropy in the boundary theory. In a background that interpolates between an AdS to an AdS-Reissner-Nordstrom-type geometry, we find that generically there always exists a critical surface beyond which the violation of NEC would naively occur. However, the extremal area surfaces that determine the entanglement entropy for the boundary theory, can penetrate into this forbidden region only for certain choices for the mass and the charge functions in the background. This penetration is then perceived as the violation of SSA in the boundary theory. We also find that this happens only when the critical surface lies above the apparent horizon, but not otherwise. We conjecture that SSA, which is thus non-trivially related to NEC, also characterizes the entire time-evolution process along which the dual field theory may thermalize.
| 7.573419
| 7.475915
| 8.146408
| 7.147017
| 7.44042
| 7.627782
| 7.588739
| 7.307025
| 6.860744
| 8.493771
| 7.138608
| 7.454576
| 7.400606
| 7.067701
| 7.030105
| 6.971773
| 7.15392
| 7.114483
| 7.180646
| 7.457555
| 7.047105
|
2205.11477
|
K\'evin Nguyen
|
Laura Donnay, Kevin Nguyen, Romain Ruzziconi
|
Loop-corrected subleading soft theorem and the celestial stress-tensor
|
20 pages + appendices; v2: added comments; v3: added funding
acknowledgment
| null |
10.1007/JHEP09(2022)063
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We demonstrate that the one-loop exact subleading soft graviton theorem
automatically follows from conservation of the BMS charges, provided that the
hard and soft fluxes separately represent the extended BMS algebra at null
infinity. This confirms that superrotations are genuine symmetries of the
gravitational $\mathcal{S}$-matrix beyond the semiclassical regime. In contrast
with a previous proposal, the celestial stress-tensor accounting for the
one-loop corrections follows from the gravitational phase space analysis and
does not require the addition of divergent counterterms. In addition, we show
that the symplectic form on the radiative phase space factorises into hard and
soft sectors, and that the resulting canonical generators precisely coincide
with the correct BMS fluxes.
|
[
{
"created": "Mon, 23 May 2022 17:26:29 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Sep 2022 10:53:58 GMT",
"version": "v2"
},
{
"created": "Wed, 21 Jun 2023 08:04:09 GMT",
"version": "v3"
}
] |
2023-06-22
|
[
[
"Donnay",
"Laura",
""
],
[
"Nguyen",
"Kevin",
""
],
[
"Ruzziconi",
"Romain",
""
]
] |
We demonstrate that the one-loop exact subleading soft graviton theorem automatically follows from conservation of the BMS charges, provided that the hard and soft fluxes separately represent the extended BMS algebra at null infinity. This confirms that superrotations are genuine symmetries of the gravitational $\mathcal{S}$-matrix beyond the semiclassical regime. In contrast with a previous proposal, the celestial stress-tensor accounting for the one-loop corrections follows from the gravitational phase space analysis and does not require the addition of divergent counterterms. In addition, we show that the symplectic form on the radiative phase space factorises into hard and soft sectors, and that the resulting canonical generators precisely coincide with the correct BMS fluxes.
| 12.416856
| 10.01951
| 14.42522
| 10.562317
| 11.071956
| 10.883665
| 10.4446
| 10.403483
| 10.910023
| 12.818189
| 10.614953
| 12.096418
| 11.803594
| 11.657557
| 12.003592
| 11.40813
| 11.664424
| 11.278213
| 11.688229
| 12.207006
| 11.36636
|
2407.20225
|
Changnan Peng
|
Changnan Peng, Maria Cristina Diamantini, Lena Funcke, Syed Muhammad
Ali Hassan, Karl Jansen, Stefan K\"uhn, Di Luo, Pranay Naredi
|
Hamiltonian Lattice Formulation of Compact Maxwell-Chern-Simons Theory
| null | null | null | null |
hep-th hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Chern-Simons theory is a topological quantum field theory with numerous
applications in condensed matter and high-energy physics, including the study
of anomalies, fermion/boson dualities, and the fractional quantum Hall effect.
In this work, a Hamiltonian lattice formulation for 2+1D compact
Maxwell-Chern-Simons theory is derived. We analytically solve this theory and
demonstrate that the mass gap in the continuum limit matches the well-known
continuum formula. Our formulation preserves topological features such as the
quantization of the Chern-Simons level, the degeneracy of energy eigenstates,
and the non-trivial properties of Wilson loops. This work lays the groundwork
for future Hamiltonian-based simulations of Maxwell-Chern-Simons theory on
classical and quantum computers.
|
[
{
"created": "Mon, 29 Jul 2024 17:58:15 GMT",
"version": "v1"
}
] |
2024-07-30
|
[
[
"Peng",
"Changnan",
""
],
[
"Diamantini",
"Maria Cristina",
""
],
[
"Funcke",
"Lena",
""
],
[
"Hassan",
"Syed Muhammad Ali",
""
],
[
"Jansen",
"Karl",
""
],
[
"Kühn",
"Stefan",
""
],
[
"Luo",
"Di",
""
],
[
"Naredi",
"Pranay",
""
]
] |
Chern-Simons theory is a topological quantum field theory with numerous applications in condensed matter and high-energy physics, including the study of anomalies, fermion/boson dualities, and the fractional quantum Hall effect. In this work, a Hamiltonian lattice formulation for 2+1D compact Maxwell-Chern-Simons theory is derived. We analytically solve this theory and demonstrate that the mass gap in the continuum limit matches the well-known continuum formula. Our formulation preserves topological features such as the quantization of the Chern-Simons level, the degeneracy of energy eigenstates, and the non-trivial properties of Wilson loops. This work lays the groundwork for future Hamiltonian-based simulations of Maxwell-Chern-Simons theory on classical and quantum computers.
| 5.593674
| 5.516294
| 5.431789
| 5.116516
| 5.385304
| 5.59019
| 5.579646
| 5.387969
| 5.311923
| 5.858372
| 5.38349
| 5.300243
| 5.292917
| 5.333929
| 5.350199
| 5.210471
| 5.2991
| 5.30732
| 5.228657
| 5.397346
| 5.247382
|
1407.3323
|
Andrei Zelnikov
|
Valeri P. Frolov and Andrei Zelnikov
|
Charged particles in higher dimensional homogeneous gravitational field:
Self-energy and self-force
|
43 pages, two subsections added, a few tables and references added
| null |
10.1007/JHEP10(2014)068
|
Alberta Thy 13-14
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A problem of self-energy and self-force for a charged point-like particle in
a higher dimensional homogeneous gravitational field is considered. We study
two cases, when a particle has usual electric charge and a case when it has a
scalar charge, which is a source of a scalar massless minimally coupled field.
We assume that a particle is at rest in the gravitational field, so that its
motion is not geodesic and it has an acceleration a directed from the horizon.
The self-energy of a point charge is divergent and the strength of the
divergence grows with the number of dimensions. In order to obtain a finite
contribution to the self- energy we use a covariant regularization method which
is a modification of the proper time cut-off and other covariant
regularizations. We analyze a relation between the self-energy and self-force
and obtain explicit expressions for the self-forces for the electric and scalar
charge in the spacetimes with the number of dimensions up to eight. General
expressions for the case of higher dimensions are also obtained. We discuss
special logarithmic factors ln(a), which are present both in the self-energy
and self-force in odd dimensions. Finally, we compare the obtained results with
the earlier known results both for the homogeneous gravitational field and for
particles near black holes.
|
[
{
"created": "Fri, 11 Jul 2014 23:53:33 GMT",
"version": "v1"
},
{
"created": "Sat, 30 Aug 2014 00:59:33 GMT",
"version": "v2"
},
{
"created": "Thu, 11 Sep 2014 20:16:24 GMT",
"version": "v3"
}
] |
2015-06-22
|
[
[
"Frolov",
"Valeri P.",
""
],
[
"Zelnikov",
"Andrei",
""
]
] |
A problem of self-energy and self-force for a charged point-like particle in a higher dimensional homogeneous gravitational field is considered. We study two cases, when a particle has usual electric charge and a case when it has a scalar charge, which is a source of a scalar massless minimally coupled field. We assume that a particle is at rest in the gravitational field, so that its motion is not geodesic and it has an acceleration a directed from the horizon. The self-energy of a point charge is divergent and the strength of the divergence grows with the number of dimensions. In order to obtain a finite contribution to the self- energy we use a covariant regularization method which is a modification of the proper time cut-off and other covariant regularizations. We analyze a relation between the self-energy and self-force and obtain explicit expressions for the self-forces for the electric and scalar charge in the spacetimes with the number of dimensions up to eight. General expressions for the case of higher dimensions are also obtained. We discuss special logarithmic factors ln(a), which are present both in the self-energy and self-force in odd dimensions. Finally, we compare the obtained results with the earlier known results both for the homogeneous gravitational field and for particles near black holes.
| 8.3114
| 8.678299
| 7.739929
| 7.917031
| 8.740602
| 8.026704
| 8.924153
| 7.978474
| 8.460967
| 8.56766
| 8.269492
| 8.150786
| 7.682126
| 7.967687
| 8.012543
| 7.995917
| 7.923036
| 8.021353
| 7.999113
| 7.929739
| 7.947093
|
1111.3613
|
Lasha Berezhiani
|
L. Berezhiani, G. Chkareuli, C. de Rham, G. Gabadadze, A. J. Tolley
|
On Black Holes in Massive Gravity
|
17 LateX pages
| null |
10.1103/PhysRevD.85.044024
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In massive gravity the so-far-found black hole solutions on Minkowski space
happen to convert horizons into a certain type of singularities. Here we
explore whether these singularities can be avoided if space-time is not
asymptotically Minkowskian. We find an exact analytic black hole (BH) solution
which evades the above problem by a transition at large scales to self-induced
de Sitter (dS) space-time, with the curvature scale set by the graviton mass.
This solution is similar to the ones discovered by Koyama, Niz and Tasinato,
and by Nieuwenhuizen, but differs in detail. The solution demonstrates that in
massive GR, in the Schwarzschild coordinate system, a BH metric has to be
accompanied by the St\"uckelberg fields with nontrivial backgrounds to prevent
the horizons to convert into the singularities. We also find an analogous
solution for a Reissner-Nordstr\"om BH on dS space. A limitation of our
approach, is that we find the solutions only for specific values of the two
free parameters of the theory, for which both the vector and scalar
fluctuations loose their kinetic terms, however, we hope our solutions
represent a broader class with better behaved perturbations.
|
[
{
"created": "Tue, 15 Nov 2011 19:21:30 GMT",
"version": "v1"
}
] |
2013-05-30
|
[
[
"Berezhiani",
"L.",
""
],
[
"Chkareuli",
"G.",
""
],
[
"de Rham",
"C.",
""
],
[
"Gabadadze",
"G.",
""
],
[
"Tolley",
"A. J.",
""
]
] |
In massive gravity the so-far-found black hole solutions on Minkowski space happen to convert horizons into a certain type of singularities. Here we explore whether these singularities can be avoided if space-time is not asymptotically Minkowskian. We find an exact analytic black hole (BH) solution which evades the above problem by a transition at large scales to self-induced de Sitter (dS) space-time, with the curvature scale set by the graviton mass. This solution is similar to the ones discovered by Koyama, Niz and Tasinato, and by Nieuwenhuizen, but differs in detail. The solution demonstrates that in massive GR, in the Schwarzschild coordinate system, a BH metric has to be accompanied by the St\"uckelberg fields with nontrivial backgrounds to prevent the horizons to convert into the singularities. We also find an analogous solution for a Reissner-Nordstr\"om BH on dS space. A limitation of our approach, is that we find the solutions only for specific values of the two free parameters of the theory, for which both the vector and scalar fluctuations loose their kinetic terms, however, we hope our solutions represent a broader class with better behaved perturbations.
| 10.40544
| 11.908107
| 11.152403
| 10.330468
| 11.281784
| 10.609504
| 10.90607
| 11.013925
| 10.686601
| 12.539264
| 10.99939
| 10.137276
| 10.115745
| 9.550993
| 9.883075
| 9.657729
| 9.694789
| 9.616659
| 9.924152
| 10.188853
| 9.975357
|
0801.3503
|
Iftikhar Ahmad
|
Iftikhar Ahmad, Yun-Song Piao, Cong-Feng Qiao
|
On Number of Nflation Fields
|
13 pages, 3 figures;added more comments,to publish in JCAP
|
JCAP0806:023,2008
|
10.1088/1475-7516/2008/06/023
| null |
hep-th
| null |
We study the Nflation model, in which a collection of massive scalar fields
drive the inflation simultaneously. We find, when the number of fields is
larger than the square of ratio of the Planck scale $M_p$ to the average value
$\bar m$ of fields masses, the slow roll inflation region will disappear. This
suggests that in order to make Nflation responsible for our observable
universe, the number of fields driving the Nflation must be bounded by the
above ratio. This result is also consistent with recent arguments from black
hole physics.
|
[
{
"created": "Wed, 23 Jan 2008 05:52:09 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Jun 2008 04:16:46 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Ahmad",
"Iftikhar",
""
],
[
"Piao",
"Yun-Song",
""
],
[
"Qiao",
"Cong-Feng",
""
]
] |
We study the Nflation model, in which a collection of massive scalar fields drive the inflation simultaneously. We find, when the number of fields is larger than the square of ratio of the Planck scale $M_p$ to the average value $\bar m$ of fields masses, the slow roll inflation region will disappear. This suggests that in order to make Nflation responsible for our observable universe, the number of fields driving the Nflation must be bounded by the above ratio. This result is also consistent with recent arguments from black hole physics.
| 10.769416
| 10.315039
| 10.470594
| 10.416401
| 10.204469
| 10.082332
| 10.534999
| 9.354195
| 10.266778
| 11.369849
| 9.728047
| 9.605309
| 10.399878
| 9.850834
| 10.093149
| 10.06689
| 9.939857
| 10.07483
| 9.976916
| 10.305329
| 9.910035
|
hep-th/0604069
|
Lisa Freyhult
|
Lisa Freyhult and Charlotte Kristjansen
|
A Universality Test of the Quantum String Bethe Ansatz
|
12 pages, references added
|
Phys.Lett.B638:258-264,2006
|
10.1016/j.physletb.2006.05.021
|
NORDITA-2006-11
|
hep-th
| null |
We show that the quantum corrected string Bethe ansatz passes an important
universality test by demonstrating that it correctly incorporates the
non-analytical terms in the string sigma model one-loop correction for rational
three-spin strings with two out of the three spins identical. Subsequently, we
use the quantum corrected string Bethe ansatz to predict the exact form of the
non-analytic terms for the generic rational three-spin string.
|
[
{
"created": "Mon, 10 Apr 2006 14:48:01 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Apr 2006 17:30:36 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Freyhult",
"Lisa",
""
],
[
"Kristjansen",
"Charlotte",
""
]
] |
We show that the quantum corrected string Bethe ansatz passes an important universality test by demonstrating that it correctly incorporates the non-analytical terms in the string sigma model one-loop correction for rational three-spin strings with two out of the three spins identical. Subsequently, we use the quantum corrected string Bethe ansatz to predict the exact form of the non-analytic terms for the generic rational three-spin string.
| 9.202269
| 10.232066
| 12.045036
| 8.732218
| 10.579463
| 9.738766
| 9.889725
| 9.168221
| 8.839625
| 13.718291
| 8.924998
| 9.236305
| 10.637113
| 8.80582
| 9.197166
| 8.921761
| 9.195327
| 8.836132
| 8.879823
| 10.350664
| 8.695053
|
hep-th/9612008
|
Stephen Fletcher Hewson
|
S. F. Hewson and M. J. Perry
|
The twelve dimensional super (2+2)-brane
|
32 pages LaTex, no figures, minor comments and address(!) added
|
Nucl.Phys. B492 (1997) 249-277
|
10.1016/S0550-3213(97)80035-1
|
DAMTP-R-96-55
|
hep-th
| null |
We discuss supersymmetry in twelve dimensions and present a covariant
supersymmetric action for a brane with worldsheet signature (2,2), called a
super (2+2)-brane, propagating in the osp(64,12) superspace. This superspace is
explicitly constructed, and is trivial in the sense that the spinorial part is
a trivial bundle over spacetime, unlike the twisted superspace of usual
Poincare supersymmetry. For consistency, it is necessary to take a projection
of the superspace. This is the same as the projection required for worldvolume
supersymmetry. Upon compactification of this superspace, a torsion is naturally
introduced and we produce the membrane and type IIB string actions in 11 and 10
dimensional Minkowski spacetimes. In addition, the compactification of the
twelve dimensional supersymmetry algebra produces the correct algebras for
these theories, including central charges. These considerations thus give the
type IIB string and M-theory a single twelve dimensional origin.
|
[
{
"created": "Sat, 30 Nov 1996 11:33:18 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Dec 1996 12:52:01 GMT",
"version": "v2"
}
] |
2015-06-26
|
[
[
"Hewson",
"S. F.",
""
],
[
"Perry",
"M. J.",
""
]
] |
We discuss supersymmetry in twelve dimensions and present a covariant supersymmetric action for a brane with worldsheet signature (2,2), called a super (2+2)-brane, propagating in the osp(64,12) superspace. This superspace is explicitly constructed, and is trivial in the sense that the spinorial part is a trivial bundle over spacetime, unlike the twisted superspace of usual Poincare supersymmetry. For consistency, it is necessary to take a projection of the superspace. This is the same as the projection required for worldvolume supersymmetry. Upon compactification of this superspace, a torsion is naturally introduced and we produce the membrane and type IIB string actions in 11 and 10 dimensional Minkowski spacetimes. In addition, the compactification of the twelve dimensional supersymmetry algebra produces the correct algebras for these theories, including central charges. These considerations thus give the type IIB string and M-theory a single twelve dimensional origin.
| 9.499261
| 10.383886
| 10.925705
| 9.738081
| 9.855101
| 10.078181
| 10.239573
| 10.089594
| 9.458967
| 11.526641
| 9.004993
| 8.990499
| 9.653114
| 9.342175
| 9.291626
| 9.031166
| 9.2649
| 9.104719
| 9.520167
| 9.892918
| 8.902516
|
hep-th/0612106
|
Tomasz Taylor
|
Tomasz R. Taylor
|
Threshold Effects Beyond the Standard Model
|
To appear in the book "String theory and fundamental interactions"
(published in celebration of the 65th birthday of Gabriele Veneziano), eds.
M. Gasperini and J. Maharana (Lecture Notes in Physics, Springer
Berlin/Heidelberg, 2007
|
Lect.NotesPhys.737:553-560,2008
| null | null |
hep-th
| null |
In this contribution to the Festschrift celebrating Gabriele Veneziano on his
65th birthday, I discuss the threshold effects of extra dimensions and their
applications to physics beyond the standard model, focusing on superstring
theory.
|
[
{
"created": "Tue, 12 Dec 2006 15:33:55 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Taylor",
"Tomasz R.",
""
]
] |
In this contribution to the Festschrift celebrating Gabriele Veneziano on his 65th birthday, I discuss the threshold effects of extra dimensions and their applications to physics beyond the standard model, focusing on superstring theory.
| 11.31856
| 8.364906
| 9.263806
| 7.776048
| 7.815256
| 7.830537
| 7.090961
| 8.244743
| 8.289206
| 8.753776
| 7.564638
| 8.073292
| 8.285439
| 7.743426
| 8.203695
| 7.635827
| 7.736905
| 7.947557
| 7.746848
| 8.710809
| 8.229794
|
2012.12275
|
Takuya Okuda
|
Hirotaka Hayashi, Takuya Okuda, Yutaka Yoshida
|
ABCD of 't Hooft operators
|
76 pages, many figures; v2: comments added, statements clarified,
typos fixed, version in JHEP
| null |
10.1007/JHEP04(2021)241
|
UT-Komaba-20-3, IPMU20-0110
|
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We compute by supersymmetric localization the expectation values of half-BPS
't Hooft line operators in $\mathcal{N}=2$ $U(N)$, $SO(N)$ and $USp(N)$ gauge
theories on $S^1 \times \mathbb{R}^3$ with an $\Omega$-deformation. We evaluate
the non-perturbative contributions due to monopole screening by calculating the
supersymmetric indices of the corresponding supersymmetric quantum mechanics,
which we obtain by realizing the gauge theories and the 't Hooft operators
using branes and orientifolds in type II string theories.
|
[
{
"created": "Tue, 22 Dec 2020 19:00:02 GMT",
"version": "v1"
},
{
"created": "Mon, 3 May 2021 06:08:23 GMT",
"version": "v2"
}
] |
2021-05-12
|
[
[
"Hayashi",
"Hirotaka",
""
],
[
"Okuda",
"Takuya",
""
],
[
"Yoshida",
"Yutaka",
""
]
] |
We compute by supersymmetric localization the expectation values of half-BPS 't Hooft line operators in $\mathcal{N}=2$ $U(N)$, $SO(N)$ and $USp(N)$ gauge theories on $S^1 \times \mathbb{R}^3$ with an $\Omega$-deformation. We evaluate the non-perturbative contributions due to monopole screening by calculating the supersymmetric indices of the corresponding supersymmetric quantum mechanics, which we obtain by realizing the gauge theories and the 't Hooft operators using branes and orientifolds in type II string theories.
| 4.854513
| 4.317466
| 6.886896
| 4.152222
| 4.222062
| 4.051551
| 4.433334
| 4.400225
| 4.217259
| 6.849539
| 4.253081
| 4.562215
| 5.617685
| 4.698101
| 4.616292
| 4.536185
| 4.491388
| 4.588638
| 4.597432
| 5.354085
| 4.786909
|
hep-th/9912149
|
Oliver Schnetz
|
Oliver Schnetz
|
Calculation of the phi^4 6-loop non-zeta transcendental
|
9 pages, LaTeX, no figures
| null | null | null |
hep-th
| null |
We present an analytic calculation of the first transcendental in
phi^4-Theory that is not of the form zeta(2n+1). It is encountered at 6 loops
and known to be a weight 8 double sum. Here it is obtained by reducing multiple
zeta values of depth <= 4. We give a closed expression in terms of a
zeta-related sum for a family of diagrams that entails a class of physical
graphs. We confirm that this class produces multiple zeta values of weights
equal to the crossing numbers of the related knots.
|
[
{
"created": "Thu, 16 Dec 1999 18:23:52 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Schnetz",
"Oliver",
""
]
] |
We present an analytic calculation of the first transcendental in phi^4-Theory that is not of the form zeta(2n+1). It is encountered at 6 loops and known to be a weight 8 double sum. Here it is obtained by reducing multiple zeta values of depth <= 4. We give a closed expression in terms of a zeta-related sum for a family of diagrams that entails a class of physical graphs. We confirm that this class produces multiple zeta values of weights equal to the crossing numbers of the related knots.
| 19.849228
| 20.798649
| 19.826385
| 19.462343
| 21.006853
| 20.568058
| 21.56282
| 20.369852
| 17.808109
| 20.406986
| 20.313026
| 18.262821
| 19.96455
| 19.521538
| 19.905558
| 19.117319
| 19.203287
| 18.248554
| 18.50812
| 18.81954
| 18.582743
|
1411.3669
|
Jamie McDonald
|
J. I. McDonald and Graham M. Shore
|
Gravitational leptogenesis, C, CP and strong equivalence
|
32 pages, 5 figures
| null |
10.1007/JHEP02(2015)076
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The origin of matter-antimatter asymmetry is one of the most important
outstanding problems at the interface of particle physics and cosmology.
Gravitational leptogenesis (baryogenesis) provides a possible mechanism through
explicit couplings of spacetime curvature to appropriate lepton (or baryon)
currents. In this paper, the idea that these strong equivalence principle
violating interactions could be generated automatically through quantum loop
effects in curved spacetime is explored, focusing on the realisation of the
discrete symmetries C, CP and CPT which must be broken to induce
matter-antimatter asymmetry. The related issue of quantum corrections to the
dispersion relation for neutrino propagation in curved spacetime is considered
within a fully covariant framework.
|
[
{
"created": "Thu, 13 Nov 2014 19:17:50 GMT",
"version": "v1"
}
] |
2015-06-23
|
[
[
"McDonald",
"J. I.",
""
],
[
"Shore",
"Graham M.",
""
]
] |
The origin of matter-antimatter asymmetry is one of the most important outstanding problems at the interface of particle physics and cosmology. Gravitational leptogenesis (baryogenesis) provides a possible mechanism through explicit couplings of spacetime curvature to appropriate lepton (or baryon) currents. In this paper, the idea that these strong equivalence principle violating interactions could be generated automatically through quantum loop effects in curved spacetime is explored, focusing on the realisation of the discrete symmetries C, CP and CPT which must be broken to induce matter-antimatter asymmetry. The related issue of quantum corrections to the dispersion relation for neutrino propagation in curved spacetime is considered within a fully covariant framework.
| 7.47472
| 8.622584
| 7.350715
| 7.161911
| 8.780037
| 7.893031
| 8.431084
| 7.877931
| 7.495306
| 7.899363
| 7.513358
| 7.121952
| 7.259079
| 7.321199
| 7.606569
| 7.041836
| 7.482381
| 7.290751
| 7.230882
| 7.430194
| 7.287598
|
hep-th/9604075
|
Dirk Schlingemann
|
Dirk Schlingemann
|
Kink States in $P(\phi)_2$-Models (An Algebraic Approach)
|
37pp, latex2e
| null | null |
DESY 96-051
|
hep-th
| null |
Several two-dimensional quantum field theory models have more than one vacuum
state. Familiar examples are the Sine-Gordon and the $\phi^4_2$-model. It is
known that these models possess states, called kink states, which interpolate
different vacua. A general construction scheme for kink states in the framework
of algebraic quantum field theory is developed in a previous paper. However,
for the application of this method, the crucial condition is the split property
for wedge algebras in the vacuum representations of the considered models. It
is believed that the vacuum representations of $P(\phi)_2$-models fulfill this
condition, but a rigorous proof is only known for the massive free scalar
field. Therefore, we investigate in a construction of kink states which can
directly be applied to $P(\phi)_2$-model, by making use of the properties of
the dynamic of a $P(\phi)_2$-model.
|
[
{
"created": "Mon, 15 Apr 1996 08:44:50 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Schlingemann",
"Dirk",
""
]
] |
Several two-dimensional quantum field theory models have more than one vacuum state. Familiar examples are the Sine-Gordon and the $\phi^4_2$-model. It is known that these models possess states, called kink states, which interpolate different vacua. A general construction scheme for kink states in the framework of algebraic quantum field theory is developed in a previous paper. However, for the application of this method, the crucial condition is the split property for wedge algebras in the vacuum representations of the considered models. It is believed that the vacuum representations of $P(\phi)_2$-models fulfill this condition, but a rigorous proof is only known for the massive free scalar field. Therefore, we investigate in a construction of kink states which can directly be applied to $P(\phi)_2$-model, by making use of the properties of the dynamic of a $P(\phi)_2$-model.
| 6.229887
| 6.430817
| 6.718162
| 6.073176
| 6.669752
| 6.71301
| 6.406274
| 6.172557
| 6.583718
| 7.156868
| 6.300921
| 6.184622
| 6.278957
| 6.202526
| 6.317654
| 6.159257
| 6.177516
| 5.945044
| 6.270317
| 5.966753
| 5.939638
|
1107.2095
|
Hyun Seok Yang
|
Hyun Seok Yang and Sangheon Yun
|
Calabi-Yau Manifolds, Hermitian Yang-Mills Instantons and Mirror
Symmetry
|
v5; 49 pages, version to appear in Advances in High Energy Physics
|
Adv. High Energy Phys. 2017 (2017) 7962426
|
10.1155/2017/7962426
| null |
hep-th math-ph math.DG math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We address the issue why Calabi-Yau manifolds exist with a mirror pair. We
observe that the irreducible spinor representation of the Lorentz group Spin(6)
requires us to consider the vector spaces of two-forms and four-forms on an
equal footing. The doubling of the two-form vector space due to the Hodge
duality doubles the variety of six-dimensional spin manifolds. We explore how
the doubling is related to the mirror symmetry of Calabi-Yau manifolds. Via the
gauge theory formulation of six-dimensional Riemannian manifolds, we show that
the curvature tensor of a Calabi-Yau manifold satisfies the Hermitian
Yang-Mills equations on the Calabi-Yau manifold. Therefore the mirror symmetry
of Calabi-Yau manifolds can be recast as the mirror pair of Hermitian
Yang-Mills instantons. We discuss the mirror symmetry from the gauge theory
perspective.
|
[
{
"created": "Mon, 11 Jul 2011 19:09:00 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Jun 2014 18:35:11 GMT",
"version": "v2"
},
{
"created": "Tue, 8 Jul 2014 16:13:49 GMT",
"version": "v3"
},
{
"created": "Mon, 14 Jul 2014 02:53:30 GMT",
"version": "v4"
},
{
"created": "Sun, 30 Jul 2017 09:42:42 GMT",
"version": "v5"
}
] |
2017-11-13
|
[
[
"Yang",
"Hyun Seok",
""
],
[
"Yun",
"Sangheon",
""
]
] |
We address the issue why Calabi-Yau manifolds exist with a mirror pair. We observe that the irreducible spinor representation of the Lorentz group Spin(6) requires us to consider the vector spaces of two-forms and four-forms on an equal footing. The doubling of the two-form vector space due to the Hodge duality doubles the variety of six-dimensional spin manifolds. We explore how the doubling is related to the mirror symmetry of Calabi-Yau manifolds. Via the gauge theory formulation of six-dimensional Riemannian manifolds, we show that the curvature tensor of a Calabi-Yau manifold satisfies the Hermitian Yang-Mills equations on the Calabi-Yau manifold. Therefore the mirror symmetry of Calabi-Yau manifolds can be recast as the mirror pair of Hermitian Yang-Mills instantons. We discuss the mirror symmetry from the gauge theory perspective.
| 7.095076
| 7.215474
| 7.728492
| 7.051248
| 7.574508
| 7.757686
| 7.282029
| 7.131083
| 6.781554
| 8.010765
| 6.816343
| 6.912343
| 7.184309
| 6.847595
| 6.991765
| 7.059785
| 6.871574
| 6.783602
| 6.727244
| 6.952632
| 6.796481
|
hep-th/0603210
|
Fernando Marchesano
|
Fernando Marchesano
|
D6-branes and torsion
|
35 pages, 1 figure. One reference added
|
JHEP0605:019,2006
|
10.1088/1126-6708/2006/05/019
|
LMU-ASC 21/06
|
hep-th
| null |
The D6-brane spectrum of type IIA vacua based on twisted tori and RR
background fluxes is analyzed. In particular, we compute the torsion factors of
the (co)homology groups H_n and describe the effect that they have on D6-brane
physics. For instance, the fact that H_3 contains Z_N subgroups explains why RR
tadpole conditions are affected by geometric fluxes. In addition, the presence
of torsional (co)homology shows why some D6-brane moduli are lifted, and it
suggests how the D-brane discretum appears in type IIA flux compactifications.
Finally, we give a clear, geometrical understanding of the Freed-Witten anomaly
in the present type IIA setup, and discuss its consequences for the
construction of semi-realistic flux vacua.
|
[
{
"created": "Tue, 28 Mar 2006 16:55:55 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Apr 2006 20:29:41 GMT",
"version": "v2"
},
{
"created": "Sat, 13 May 2006 09:10:57 GMT",
"version": "v3"
}
] |
2009-11-11
|
[
[
"Marchesano",
"Fernando",
""
]
] |
The D6-brane spectrum of type IIA vacua based on twisted tori and RR background fluxes is analyzed. In particular, we compute the torsion factors of the (co)homology groups H_n and describe the effect that they have on D6-brane physics. For instance, the fact that H_3 contains Z_N subgroups explains why RR tadpole conditions are affected by geometric fluxes. In addition, the presence of torsional (co)homology shows why some D6-brane moduli are lifted, and it suggests how the D-brane discretum appears in type IIA flux compactifications. Finally, we give a clear, geometrical understanding of the Freed-Witten anomaly in the present type IIA setup, and discuss its consequences for the construction of semi-realistic flux vacua.
| 10.745132
| 10.529451
| 10.732732
| 9.39543
| 10.17332
| 10.631254
| 9.988179
| 9.346515
| 9.195529
| 12.987164
| 9.349788
| 9.771619
| 9.946245
| 9.37109
| 9.88426
| 9.539157
| 10.148235
| 9.867358
| 9.494805
| 9.482602
| 9.892021
|
hep-th/0303020
|
Rene Reinbacher
|
Burt A. Ovrut, Tony Pantev and Rene Reinbacher
|
Invariant Homology on Standard Model Manifolds
|
57 pages, 13 figures
|
JHEP 0401 (2004) 059
|
10.1088/1126-6708/2004/01/059
| null |
hep-th
| null |
Torus-fibered Calabi-Yau threefolds Z, with base dP_9 and fundamental group
pi_1(Z)=Z_2 X Z_2, are reviewed. It is shown that Z=X/(Z_2 X Z_2), where X=B
X_{P_1} B' are elliptically fibered Calabi-Yau threefolds that admit a freely
acting Z_2 X Z_2 automorphism group. B and B' are rational elliptic surfaces,
each with a Z_2 X Z_2 group of automorphisms. It is shown that the Z_2 X Z_2
invariant classes of curves of each surface have four generators which produce,
via the fiber product, seven Z_2 X Z_2 invariant generators in H_4(X,Z). All
invariant homology classes are computed explicitly. These descend to produce a
rank seven homology group H_4(Z,Z) on Z. The existence of these homology
classes on Z is essential to the construction of anomaly free, three family
standard-like models with suppressed nucleon decay in both weakly and strongly
coupled heterotic superstring theory.
|
[
{
"created": "Tue, 4 Mar 2003 19:47:03 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Ovrut",
"Burt A.",
""
],
[
"Pantev",
"Tony",
""
],
[
"Reinbacher",
"Rene",
""
]
] |
Torus-fibered Calabi-Yau threefolds Z, with base dP_9 and fundamental group pi_1(Z)=Z_2 X Z_2, are reviewed. It is shown that Z=X/(Z_2 X Z_2), where X=B X_{P_1} B' are elliptically fibered Calabi-Yau threefolds that admit a freely acting Z_2 X Z_2 automorphism group. B and B' are rational elliptic surfaces, each with a Z_2 X Z_2 group of automorphisms. It is shown that the Z_2 X Z_2 invariant classes of curves of each surface have four generators which produce, via the fiber product, seven Z_2 X Z_2 invariant generators in H_4(X,Z). All invariant homology classes are computed explicitly. These descend to produce a rank seven homology group H_4(Z,Z) on Z. The existence of these homology classes on Z is essential to the construction of anomaly free, three family standard-like models with suppressed nucleon decay in both weakly and strongly coupled heterotic superstring theory.
| 7.258055
| 6.035861
| 8.142055
| 6.415051
| 6.618091
| 6.502007
| 6.924915
| 6.452476
| 6.398034
| 8.579684
| 5.917918
| 6.035841
| 6.717084
| 6.425601
| 6.202728
| 6.273785
| 6.350001
| 6.116279
| 6.490021
| 6.606277
| 6.411019
|
1104.5312
|
Naoki Sasakura
|
Naoki Sasakura
|
Tensor models and hierarchy of n-ary algebras
|
13 pages, some references updated and corrected
|
Int.J.Mod.Phys.A26:3249-3258,2011
|
10.1142/S0217751X1105381X
|
YITP-11-51
|
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Tensor models are generalization of matrix models, and are studied as models
of quantum gravity. It is shown that the symmetry of the rank-three tensor
models is generated by a hierarchy of n-ary algebras starting from the usual
commutator, and the 3-ary algebra symmetry reported in the previous paper is
just a single sector of the whole structure. The condition for the Leibnitz
rules of the n-ary algebras is discussed from the perspective of the invariance
of the underlying algebra under the n-ary transformations. It is shown that the
n-ary transformations which keep the underlying algebraic structure invariant
form closed finite n-ary Lie subalgebras. It is also shown that, in physical
settings, the 3-ary transformation practically generates only local
infinitesimal symmetry transformations, and the other more non-local
infinitesimal symmetry transformations of the tensor models are generated by
higher n-ary transformations.
|
[
{
"created": "Thu, 28 Apr 2011 07:00:05 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Jul 2011 02:00:57 GMT",
"version": "v2"
}
] |
2011-08-03
|
[
[
"Sasakura",
"Naoki",
""
]
] |
Tensor models are generalization of matrix models, and are studied as models of quantum gravity. It is shown that the symmetry of the rank-three tensor models is generated by a hierarchy of n-ary algebras starting from the usual commutator, and the 3-ary algebra symmetry reported in the previous paper is just a single sector of the whole structure. The condition for the Leibnitz rules of the n-ary algebras is discussed from the perspective of the invariance of the underlying algebra under the n-ary transformations. It is shown that the n-ary transformations which keep the underlying algebraic structure invariant form closed finite n-ary Lie subalgebras. It is also shown that, in physical settings, the 3-ary transformation practically generates only local infinitesimal symmetry transformations, and the other more non-local infinitesimal symmetry transformations of the tensor models are generated by higher n-ary transformations.
| 8.741133
| 9.278287
| 11.128174
| 8.194285
| 9.058321
| 9.920697
| 9.921538
| 8.939995
| 8.267918
| 10.385572
| 8.448725
| 8.696843
| 9.139241
| 8.736697
| 8.874276
| 8.921966
| 9.040733
| 8.814507
| 8.482375
| 8.680443
| 8.523704
|
hep-th/0503247
|
Francesco Nitti
|
F. Nitti, M. Porrati and J.-W. Rombouts
|
Naturalness in Cosmological Initial Conditions
|
35 pages, 8 figures
|
Phys.Rev. D72 (2005) 063503
|
10.1103/PhysRevD.72.063503
| null |
hep-th astro-ph gr-qc
| null |
We propose a novel approach to the problem of constraining cosmological
initial conditions. Within the framework of effective field theory, we classify
initial conditions in terms of boundary terms added to the effective action
describing the cosmological evolution below Planckian energies. These boundary
terms can be thought of as spacelike branes which may support extra
instantaneous degrees of freedom and extra operators. Interactions and
renormalization of these boundary terms allow us to apply to the boundary terms
the field-theoretical requirement of naturalness, i.e. stability under
radiative corrections. We apply this requirement to slow-roll inflation with
non-adiabatic initial conditions, and to cyclic cosmology. This allows us to
define in a precise sense when some of these models are fine-tuned. We also
describe how to parametrize in a model-independent way non-Gaussian initial
conditions; we show that in some cases they are both potentially observable and
pass our naturalness requirement.
|
[
{
"created": "Thu, 31 Mar 2005 19:47:07 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Nitti",
"F.",
""
],
[
"Porrati",
"M.",
""
],
[
"Rombouts",
"J. -W.",
""
]
] |
We propose a novel approach to the problem of constraining cosmological initial conditions. Within the framework of effective field theory, we classify initial conditions in terms of boundary terms added to the effective action describing the cosmological evolution below Planckian energies. These boundary terms can be thought of as spacelike branes which may support extra instantaneous degrees of freedom and extra operators. Interactions and renormalization of these boundary terms allow us to apply to the boundary terms the field-theoretical requirement of naturalness, i.e. stability under radiative corrections. We apply this requirement to slow-roll inflation with non-adiabatic initial conditions, and to cyclic cosmology. This allows us to define in a precise sense when some of these models are fine-tuned. We also describe how to parametrize in a model-independent way non-Gaussian initial conditions; we show that in some cases they are both potentially observable and pass our naturalness requirement.
| 9.601132
| 9.669579
| 9.904714
| 9.600192
| 10.683284
| 10.198972
| 10.873247
| 9.780982
| 9.392828
| 11.14031
| 9.634989
| 9.676835
| 9.421368
| 9.352082
| 9.396952
| 9.269378
| 9.101398
| 9.366593
| 9.324137
| 9.616862
| 9.421018
|
hep-th/9612237
|
Shinsuke M. Nishigaki
|
S. Higuchi, C. Itoi, S. M. Nishigaki, N. Sakai
|
Renormalization group approach to multiple-arc random matrix models
|
11 pages, 1 figure, LaTeX + a4.sty, epsf.sty
|
Phys.Lett. B398 (1997) 123-129
|
10.1016/S0370-2693(97)00196-2
|
UT-KOMABA/96-28, NUP-A-96-14, NBI-HE-96-65, TIT/HEP-351
|
hep-th cond-mat
| null |
We study critical and universal behaviors of unitary invariant non-gaussian
random matrix ensembles within the framework of the large-N renormalization
group. For a simple double-well model we find an unstable fixed point and a
stable inverse-gaussian fixed point. The former is identified as the critical
point of single/double-arc phase transition with a discontinuity of the third
derivative of the free energy. The latter signifies a novel universality of
large-N correlators other than the usual single arc type. This phase structure
is consistent with the universality classification of two-level correlators for
multiple-arc models by Ambjorn and Akemann. We also establish the stability of
the gaussian fixed point in the multi-coupling model.
|
[
{
"created": "Thu, 26 Dec 1996 15:23:23 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Higuchi",
"S.",
""
],
[
"Itoi",
"C.",
""
],
[
"Nishigaki",
"S. M.",
""
],
[
"Sakai",
"N.",
""
]
] |
We study critical and universal behaviors of unitary invariant non-gaussian random matrix ensembles within the framework of the large-N renormalization group. For a simple double-well model we find an unstable fixed point and a stable inverse-gaussian fixed point. The former is identified as the critical point of single/double-arc phase transition with a discontinuity of the third derivative of the free energy. The latter signifies a novel universality of large-N correlators other than the usual single arc type. This phase structure is consistent with the universality classification of two-level correlators for multiple-arc models by Ambjorn and Akemann. We also establish the stability of the gaussian fixed point in the multi-coupling model.
| 16.134005
| 15.121782
| 18.017958
| 15.282905
| 15.377948
| 18.37142
| 16.563021
| 15.996559
| 14.623225
| 18.080074
| 15.971572
| 15.169168
| 15.382557
| 14.891213
| 14.888309
| 15.055712
| 14.966179
| 14.674142
| 14.914361
| 16.153648
| 14.906971
|
hep-th/9804153
|
Friedemann Brandt
|
Friedemann Brandt
|
Deformations of global symmetries in the extended antifield formalism
|
23 pages, latex; version to appear in J. Math. Phys
|
J.Math.Phys. 40 (1999) 1023-1040
|
10.1063/1.532704
| null |
hep-th
| null |
It is outlined how deformations of field theoretical rigid symmetries can be
constructed and classified by cohomological means in the extended antifield
formalism. Special attention is devoted to deformations referring only to a
subset of the rigid symmetries of a given model and leading to a nontrivial
extension of the graded Lie algebra associated with that subset. The method is
illustrated for a D=4, N=2 supersymmetric model where the central extension of
the supersymmetry algebra emerges via a deformation. Deformations of gauge
fixed actions with a BRST symmetry are discussed too and illustrated by the
Curci-Ferrari model.
|
[
{
"created": "Thu, 23 Apr 1998 11:51:35 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Apr 1998 19:34:43 GMT",
"version": "v2"
},
{
"created": "Wed, 25 Nov 1998 12:15:14 GMT",
"version": "v3"
}
] |
2015-06-26
|
[
[
"Brandt",
"Friedemann",
""
]
] |
It is outlined how deformations of field theoretical rigid symmetries can be constructed and classified by cohomological means in the extended antifield formalism. Special attention is devoted to deformations referring only to a subset of the rigid symmetries of a given model and leading to a nontrivial extension of the graded Lie algebra associated with that subset. The method is illustrated for a D=4, N=2 supersymmetric model where the central extension of the supersymmetry algebra emerges via a deformation. Deformations of gauge fixed actions with a BRST symmetry are discussed too and illustrated by the Curci-Ferrari model.
| 10.384483
| 8.018525
| 9.490068
| 7.973806
| 8.411489
| 8.483627
| 8.322832
| 8.321877
| 8.245468
| 9.801571
| 8.345465
| 8.531627
| 8.568234
| 8.671612
| 8.390821
| 8.505859
| 8.466113
| 8.455228
| 8.581221
| 8.912465
| 8.440654
|
1803.02462
|
Eric Zaslow
|
Eric Zaslow
|
Wavefunctions for a Class of Branes in Three-space
|
10 pages
| null | null | null |
hep-th math.AG math.SG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Wavefunctions are proposed for a class of Lagrangian branes in three
complex-dimensional space. The branes are asymptotic to Legendrian surfaces of
genus g. The expansion of these wavefunctions in appropriate coordinates
conjecturally encodes all-genus open Gromov-Witten invariants, i.e. the free
energy of the topological open string.
This paper is written in physics language, but tries to welcome
mathematicians. Most results stem from joint mathematical works with Linhui
Shen and David Treumann.
|
[
{
"created": "Tue, 6 Mar 2018 22:56:06 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Apr 2018 21:42:58 GMT",
"version": "v2"
}
] |
2018-04-11
|
[
[
"Zaslow",
"Eric",
""
]
] |
Wavefunctions are proposed for a class of Lagrangian branes in three complex-dimensional space. The branes are asymptotic to Legendrian surfaces of genus g. The expansion of these wavefunctions in appropriate coordinates conjecturally encodes all-genus open Gromov-Witten invariants, i.e. the free energy of the topological open string. This paper is written in physics language, but tries to welcome mathematicians. Most results stem from joint mathematical works with Linhui Shen and David Treumann.
| 15.13402
| 17.554258
| 18.8174
| 14.638654
| 16.376356
| 17.362658
| 15.589611
| 14.987075
| 16.982986
| 22.827261
| 15.040869
| 14.526997
| 17.758549
| 15.626395
| 13.953349
| 13.367917
| 13.617296
| 13.5198
| 14.675703
| 17.48908
| 14.046796
|
hep-th/9910185
|
Bin Wang
|
Bin Wang and Elcio Abdalla
|
Holography in (2+1)-dimensional cosmological models
|
9 pages, to be published in Phys. Lett. B
|
Phys.Lett. B466 (1999) 122-126
|
10.1016/S0370-2693(99)01122-3
| null |
hep-th
| null |
The cosmic holographic principle suggested by Fischler and Susskind has been
examined in (2+1)-dimensional cosmological models. Analogously to the
(3+1)-dimensional counterpart, the holographic principle is satisfied in all
flat and open universes. For (2+1)-dimensional closed universes the holographic
principle cannot be realized in general. The principle cannot be maintained,
neither introducing negative pressure matter nor matter with highly
unconventional equation of state.
|
[
{
"created": "Sat, 23 Oct 1999 18:32:54 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Wang",
"Bin",
""
],
[
"Abdalla",
"Elcio",
""
]
] |
The cosmic holographic principle suggested by Fischler and Susskind has been examined in (2+1)-dimensional cosmological models. Analogously to the (3+1)-dimensional counterpart, the holographic principle is satisfied in all flat and open universes. For (2+1)-dimensional closed universes the holographic principle cannot be realized in general. The principle cannot be maintained, neither introducing negative pressure matter nor matter with highly unconventional equation of state.
| 9.024678
| 7.703103
| 8.897489
| 7.311635
| 7.853708
| 7.619407
| 7.147531
| 7.392498
| 7.125519
| 8.552599
| 7.250453
| 7.742117
| 8.078329
| 7.821672
| 7.911582
| 7.722569
| 7.735156
| 7.643991
| 8.021301
| 8.206285
| 8.056665
|
1206.2349
|
Iosif Bena
|
Iosif Bena, Hagen Triendl, Bert Vercnocke
|
Black Holes and Fourfolds
|
26 pages, 1 figure
| null |
10.1007/JHEP08(2012)124
|
IPhT-T12/047
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We establish the relation between the structure governing supersymmetric and
non-supersymmetric four- and five-dimensional black holes and multicenter
solutions and Calabi-Yau flux compactifications of M-theory and type IIB string
theory. We find that the known BPS and almost-BPS multicenter black hole
solutions can be interpreted as GKP compactifications with (2,1) and (0,3)
imaginary self-dual flux. We also show that the most general GKP
compactification leads to new classes of BPS and non-BPS multicenter solutions.
We explore how these solutions fit into N=2 truncations, and elucidate how
supersymmetry becomes camouflaged. As a necessary tool in our exploration we
show how the fields in the largest N=2 truncation fit inside the six-torus
compactification of eleven-dimensional supergravity.
|
[
{
"created": "Mon, 11 Jun 2012 20:00:00 GMT",
"version": "v1"
}
] |
2015-06-05
|
[
[
"Bena",
"Iosif",
""
],
[
"Triendl",
"Hagen",
""
],
[
"Vercnocke",
"Bert",
""
]
] |
We establish the relation between the structure governing supersymmetric and non-supersymmetric four- and five-dimensional black holes and multicenter solutions and Calabi-Yau flux compactifications of M-theory and type IIB string theory. We find that the known BPS and almost-BPS multicenter black hole solutions can be interpreted as GKP compactifications with (2,1) and (0,3) imaginary self-dual flux. We also show that the most general GKP compactification leads to new classes of BPS and non-BPS multicenter solutions. We explore how these solutions fit into N=2 truncations, and elucidate how supersymmetry becomes camouflaged. As a necessary tool in our exploration we show how the fields in the largest N=2 truncation fit inside the six-torus compactification of eleven-dimensional supergravity.
| 9.233033
| 8.813878
| 11.259589
| 8.963841
| 9.763351
| 8.752513
| 9.269055
| 8.957296
| 9.035731
| 11.219748
| 8.681277
| 8.793398
| 9.725501
| 9.167861
| 9.160995
| 8.73811
| 9.03156
| 8.998599
| 9.245532
| 9.932355
| 9.047247
|
2104.12724
|
Irina Aref'eva
|
Irina Aref'eva and Igor Volovich
|
Quantum explosions of black holes and thermal coordinates
|
36 pages, 18 figures, Latex
| null | null | null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
The Hawking temperature for Schwarzschild black hole $T_H=1/8\pi M$ is
singular in the limit of vanishing mass $M\to 0$. However, the Schwarzschild
metric itself is regular in this limit, it is reduced to the Minkowski metric
and there are no reasons to believe that the temperature becomes infinite. This
discrepancy may be due to the singularity of the Kruskal coordinates in this
limit.
To improve the situation, new coordinates for the Schwarzschild metric are
introduced, called thermal coordinates, which depend on the black hole mass $ M
$ and the parameter $b$. The thermal coordinates are regular in the limit $M\to
0$ when the Schwarzschild metric reduces to Minkowski metric, written in
coordinates dual to the Rindler coordinates. Using the thermal coordinates the
Schwarzschild black hole radiation is reconsidered and it is found that the
Hawking formula for temperature is valid only for large black holes while for
small black holes the temperature is $T=1/2\pi(4M+b)$. The thermal observer in
Minkowski space sees radiation with temperature $T=1/2\pi b$, similar to the
Unruh effect with non-constant acceleration.
During evaporation, in the thermal coordinates the black hole mass is
decreasing inverse proportional to time and the black hole lifetime is
infinite. More general spherically symmetric metrics are considered and it is
found that the property to have a temperature is not restricted to the cases of
black holes or constant acceleration, but is valid for any spherically
symmetric metric written in thermal coordinates. Implications for primordial
black holes and for the information loss problem are mentioned.
|
[
{
"created": "Mon, 26 Apr 2021 17:17:26 GMT",
"version": "v1"
}
] |
2021-04-27
|
[
[
"Aref'eva",
"Irina",
""
],
[
"Volovich",
"Igor",
""
]
] |
The Hawking temperature for Schwarzschild black hole $T_H=1/8\pi M$ is singular in the limit of vanishing mass $M\to 0$. However, the Schwarzschild metric itself is regular in this limit, it is reduced to the Minkowski metric and there are no reasons to believe that the temperature becomes infinite. This discrepancy may be due to the singularity of the Kruskal coordinates in this limit. To improve the situation, new coordinates for the Schwarzschild metric are introduced, called thermal coordinates, which depend on the black hole mass $ M $ and the parameter $b$. The thermal coordinates are regular in the limit $M\to 0$ when the Schwarzschild metric reduces to Minkowski metric, written in coordinates dual to the Rindler coordinates. Using the thermal coordinates the Schwarzschild black hole radiation is reconsidered and it is found that the Hawking formula for temperature is valid only for large black holes while for small black holes the temperature is $T=1/2\pi(4M+b)$. The thermal observer in Minkowski space sees radiation with temperature $T=1/2\pi b$, similar to the Unruh effect with non-constant acceleration. During evaporation, in the thermal coordinates the black hole mass is decreasing inverse proportional to time and the black hole lifetime is infinite. More general spherically symmetric metrics are considered and it is found that the property to have a temperature is not restricted to the cases of black holes or constant acceleration, but is valid for any spherically symmetric metric written in thermal coordinates. Implications for primordial black holes and for the information loss problem are mentioned.
| 5.48397
| 5.734905
| 5.572518
| 5.243181
| 5.370765
| 5.358818
| 5.730087
| 5.390914
| 5.648005
| 5.845126
| 5.430212
| 5.467078
| 5.394375
| 5.322575
| 5.436059
| 5.426805
| 5.326431
| 5.531727
| 5.468431
| 5.378508
| 5.401731
|
hep-th/0310201
|
David Nolland
|
D. Nolland
|
Cancellation of divergences in ${\cal N}=4$ SYM/Type IIB Supergravity
correspondence
|
7 pages
|
Phys.Lett. B579 (2004) 235-238
|
10.1016/j.physletb.2003.10.084
|
LTH608
|
hep-th
| null |
Using Schr\"odinger functional methods, we show that in the ${\cal N}=4$
SYM/Type IIB Supergravity correspondence the renormalisation of the boundary
Newton and gravitational constants arising from bulk fields cancels when we sum
over all the Kaluza-Klein modes of Supergravity. This accords with the expected
finiteness of ${\cal N}=4$ SYM, and it is expected that other renormalisations
cancel in a similar way.
|
[
{
"created": "Tue, 21 Oct 2003 15:03:48 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Nolland",
"D.",
""
]
] |
Using Schr\"odinger functional methods, we show that in the ${\cal N}=4$ SYM/Type IIB Supergravity correspondence the renormalisation of the boundary Newton and gravitational constants arising from bulk fields cancels when we sum over all the Kaluza-Klein modes of Supergravity. This accords with the expected finiteness of ${\cal N}=4$ SYM, and it is expected that other renormalisations cancel in a similar way.
| 9.104894
| 9.456506
| 9.794808
| 8.550187
| 8.233994
| 8.464187
| 9.192484
| 8.428156
| 8.897631
| 8.910525
| 8.93266
| 9.021853
| 8.489286
| 8.500152
| 8.511106
| 9.003724
| 8.656677
| 9.031196
| 8.486213
| 8.79228
| 8.485332
|
1907.03781
|
Enrique Alvarez
|
Enrique Alvarez, Jesus Anero and Raquel Santos-Garcia
|
Scalar Weyl anomalies and the dynamics of the gravitational field
|
24 pages, streamlined, some errata fixed
| null | null |
IFT-UAM/CSIC-19-90
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The generalization of scale invariance when gravitational effects are
considered is Weyl invariance, namely, invariance under (global or local)
rescalings of the metric. In this work, we discuss in some details the
implications of the fact that the value of the anomaly for the global Weyl
invariant coupling of scalar fields to gravity is sensitive to the dynamics (or
absence thereof) of the gravitational field.
|
[
{
"created": "Mon, 8 Jul 2019 18:00:24 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Nov 2019 07:45:08 GMT",
"version": "v2"
},
{
"created": "Sat, 18 Jun 2022 12:41:42 GMT",
"version": "v3"
},
{
"created": "Wed, 7 Sep 2022 13:29:36 GMT",
"version": "v4"
},
{
"created": "Thu, 13 Oct 2022 16:18:42 GMT",
"version": "v5"
}
] |
2022-10-14
|
[
[
"Alvarez",
"Enrique",
""
],
[
"Anero",
"Jesus",
""
],
[
"Santos-Garcia",
"Raquel",
""
]
] |
The generalization of scale invariance when gravitational effects are considered is Weyl invariance, namely, invariance under (global or local) rescalings of the metric. In this work, we discuss in some details the implications of the fact that the value of the anomaly for the global Weyl invariant coupling of scalar fields to gravity is sensitive to the dynamics (or absence thereof) of the gravitational field.
| 8.817036
| 8.352938
| 8.540141
| 7.389803
| 7.907889
| 7.940956
| 7.912045
| 7.688634
| 8.122115
| 9.250006
| 7.889368
| 7.569047
| 8.295505
| 8.125987
| 7.871676
| 7.927578
| 7.86652
| 7.674035
| 7.572982
| 8.169449
| 7.893379
|
hep-th/0202049
|
Bogdan Kulik
|
A. Boyarsky and B. Kulik
|
Brane-Bulk Interaction in Topological Theory
|
10 pages, minor corrections, references added, to appear in Phys.
Lett. B
|
Phys.Lett. B532 (2002) 357-362
|
10.1016/S0370-2693(02)01570-8
|
YITP-SB-02-05
|
hep-th
| null |
In this letter we address the problem of inducing boundary degrees of freedom
from a bulk theory whose action contains higher-derivative corrections. As a
model example we consider a topological theory with an action that has only a
``higher-derivative'' term. By choosing specific coupling of the brane to the
bulk we show that the boundary action contains gravity action along with some
higher-derivative corrections. The co-dimension of the brane is more than one.
In this sense the boundary is singular.
|
[
{
"created": "Fri, 8 Feb 2002 00:15:17 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Mar 2002 19:50:16 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Boyarsky",
"A.",
""
],
[
"Kulik",
"B.",
""
]
] |
In this letter we address the problem of inducing boundary degrees of freedom from a bulk theory whose action contains higher-derivative corrections. As a model example we consider a topological theory with an action that has only a ``higher-derivative'' term. By choosing specific coupling of the brane to the bulk we show that the boundary action contains gravity action along with some higher-derivative corrections. The co-dimension of the brane is more than one. In this sense the boundary is singular.
| 11.023482
| 9.868766
| 9.472159
| 9.144389
| 10.368731
| 9.735112
| 9.426668
| 9.648416
| 8.97737
| 10.913477
| 8.977491
| 8.938317
| 9.692497
| 8.932517
| 9.102118
| 9.460664
| 9.102106
| 8.955773
| 9.294884
| 9.733912
| 9.3565
|
0904.0367
|
Shin'ichi Nojiri
|
Yusaku Ito and Shin'ichi Nojiri
|
Gauss-Bonnet Chameleon Mechanism of Dark Energy
|
LaTeX 11 pages, no figure
|
Phys.Rev.D79:103008,2009
|
10.1103/PhysRevD.79.103008
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
As a model of the current accelerated expansion of the universe, we consider
a model of the scalar-Einstein-Gauss-Bonnet gravity. This model includes the
propagating scalar modes, which might give a large correction to the Newton
law. In order to avoid this problem, we propose an extension of the Chameleon
mechanism where the scalar mode becomes massive due to the coupling with the
Gauss-Bonnet term. Since the Gauss-Bonnet invariant does not vanish near the
earth or in the Solar System, even in the vacuum, the scalar mode is massive
even in the vacuum and the correction to the Newton law could be small. We also
discuss about the possibility that the model could describe simultaneously the
inflation in the early universe, in addition to the current accelerated
expansion.
|
[
{
"created": "Thu, 2 Apr 2009 11:44:51 GMT",
"version": "v1"
}
] |
2009-07-30
|
[
[
"Ito",
"Yusaku",
""
],
[
"Nojiri",
"Shin'ichi",
""
]
] |
As a model of the current accelerated expansion of the universe, we consider a model of the scalar-Einstein-Gauss-Bonnet gravity. This model includes the propagating scalar modes, which might give a large correction to the Newton law. In order to avoid this problem, we propose an extension of the Chameleon mechanism where the scalar mode becomes massive due to the coupling with the Gauss-Bonnet term. Since the Gauss-Bonnet invariant does not vanish near the earth or in the Solar System, even in the vacuum, the scalar mode is massive even in the vacuum and the correction to the Newton law could be small. We also discuss about the possibility that the model could describe simultaneously the inflation in the early universe, in addition to the current accelerated expansion.
| 7.340325
| 7.174766
| 6.51518
| 6.590323
| 7.067318
| 7.049809
| 6.528443
| 6.717252
| 7.039389
| 6.675179
| 7.116925
| 6.637042
| 6.547585
| 6.521032
| 6.796549
| 6.642342
| 6.756029
| 6.39113
| 6.790764
| 6.708147
| 6.868566
|
hep-th/0509170
|
David Kutasov
|
David Kutasov
|
Accelerating Branes and the String/Black Hole Transition
|
32 pages, harvmac
| null | null | null |
hep-th
| null |
String theory in Euclidean flat space with a spacelike linear dilaton
contains a D1-brane which looks like a semi-infinite hairpin. In addition to
its curved shape, this ``hairpin brane'' has a condensate of the open string
tachyon stretched between its two sides. The tachyon smears the brane and
shifts the location of its tip. The Minkowski continuation of the hairpin brane
describes a D0-brane freely falling in a linear dilaton background. Effects
that in Euclidean space are attributed to the tachyon condensate, give rise in
the Minkowski case to a stringy smearing of the trajectory of the D-brane by an
amount that grows as its acceleration increases. When the Unruh temperature of
the brane reaches the Hagedorn temperature of perturbative string theory in the
throat, the rolling D-brane state becomes non-normalizable. We propose that
black holes in string theory exhibit similar properties. The Euclidean black
hole solution has a condensate of a tachyon winding around Euclidean time. The
Minkowski manifestation of this condensate is a smearing of the geometry in a
layer around the horizon. As the Hawking temperature, T_{bh}, increases, the
width of this layer grows. When T_{bh} reaches the Hagedorn temperature, the
size of this ``smeared horizon'' diverges, and the black hole becomes
non-normalizable. This provides a new point of view on the string/black hole
transition.
|
[
{
"created": "Thu, 22 Sep 2005 00:38:36 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Kutasov",
"David",
""
]
] |
String theory in Euclidean flat space with a spacelike linear dilaton contains a D1-brane which looks like a semi-infinite hairpin. In addition to its curved shape, this ``hairpin brane'' has a condensate of the open string tachyon stretched between its two sides. The tachyon smears the brane and shifts the location of its tip. The Minkowski continuation of the hairpin brane describes a D0-brane freely falling in a linear dilaton background. Effects that in Euclidean space are attributed to the tachyon condensate, give rise in the Minkowski case to a stringy smearing of the trajectory of the D-brane by an amount that grows as its acceleration increases. When the Unruh temperature of the brane reaches the Hagedorn temperature of perturbative string theory in the throat, the rolling D-brane state becomes non-normalizable. We propose that black holes in string theory exhibit similar properties. The Euclidean black hole solution has a condensate of a tachyon winding around Euclidean time. The Minkowski manifestation of this condensate is a smearing of the geometry in a layer around the horizon. As the Hawking temperature, T_{bh}, increases, the width of this layer grows. When T_{bh} reaches the Hagedorn temperature, the size of this ``smeared horizon'' diverges, and the black hole becomes non-normalizable. This provides a new point of view on the string/black hole transition.
| 6.905442
| 6.747881
| 7.277081
| 6.375794
| 6.692358
| 7.026431
| 6.727641
| 6.289675
| 6.4031
| 7.943751
| 6.402159
| 6.468553
| 6.510405
| 6.266577
| 6.424204
| 6.416129
| 6.445463
| 6.428068
| 6.253911
| 6.613526
| 6.367444
|
hep-th/0205103
|
Brett McInnes
|
Brett McInnes
|
Stringy Instability of Topologically Non-Trivial Ads Black Holes and of
desitter S-Brane Spacetimes
|
References added, NPB version
|
Nucl.Phys.B660:373-388,2003
|
10.1016/S0550-3213(03)00268-2
| null |
hep-th
| null |
Seiberg and Witten have discussed a specifically "stringy" kind of
instability which arises in connection with "large" branes in asymptotically
AdS spacetimes. It is easy to see that this instability actually arises in most
five-dimensional asymptotically AdS black hole string spacetimes with
non-trivial horizon topologies. We point out that this is a more serious
problem than it may at first seem, for it cannot be resolved even by taking
into account the effect of the branes on the geometry of spacetime. [It is
ultimately due to the {\em topology} of spacetime, not its geometry.] Next,
assuming the validity of some kind of dS/CFT correspondence, we argue that
asymptotically deSitter versions of the Hull-Strominger-Gutperle S-brane
spacetimes are also unstable in this "topological" sense, at least in the case
where the R-symmetries are preserved. We conjecture that this is due to the
unrestrained creation of "late" branes, the spacelike analogue of large branes,
at very late cosmological times.
|
[
{
"created": "Sat, 11 May 2002 07:42:39 GMT",
"version": "v1"
},
{
"created": "Sat, 18 May 2002 07:20:25 GMT",
"version": "v2"
},
{
"created": "Thu, 30 May 2002 05:16:02 GMT",
"version": "v3"
},
{
"created": "Wed, 11 Dec 2002 14:12:25 GMT",
"version": "v4"
},
{
"created": "Tue, 1 Apr 2003 03:09:29 GMT",
"version": "v5"
}
] |
2010-12-23
|
[
[
"McInnes",
"Brett",
""
]
] |
Seiberg and Witten have discussed a specifically "stringy" kind of instability which arises in connection with "large" branes in asymptotically AdS spacetimes. It is easy to see that this instability actually arises in most five-dimensional asymptotically AdS black hole string spacetimes with non-trivial horizon topologies. We point out that this is a more serious problem than it may at first seem, for it cannot be resolved even by taking into account the effect of the branes on the geometry of spacetime. [It is ultimately due to the {\em topology} of spacetime, not its geometry.] Next, assuming the validity of some kind of dS/CFT correspondence, we argue that asymptotically deSitter versions of the Hull-Strominger-Gutperle S-brane spacetimes are also unstable in this "topological" sense, at least in the case where the R-symmetries are preserved. We conjecture that this is due to the unrestrained creation of "late" branes, the spacelike analogue of large branes, at very late cosmological times.
| 10.033681
| 10.493129
| 10.555857
| 10.486124
| 10.345834
| 10.570971
| 10.404091
| 10.404419
| 10.217854
| 11.369354
| 10.201172
| 9.609982
| 9.858646
| 9.430581
| 9.730179
| 9.567734
| 9.736108
| 9.81655
| 9.61751
| 9.893394
| 9.699124
|
hep-th/9806229
|
Francesco Sannino
|
Francesco Sannino (Yale University)
|
From Super QCD to QCD
|
Contribution to the proceedings of the MRST-98 meeting. 9 pages,
RevTeX
| null |
10.1063/1.57083
|
YCTP-P19-98
|
hep-th hep-ph
| null |
We present a ``toy'' model for breaking supersymmetric gauge theories at the
effective Lagrangian level. We show that it is possible to achieve the
decoupling of gluinos and squarks, below a given supersymmetry breaking scale
m, in the fundamental theory for super QCD once a suitable choice of
supersymmetry breaking terms is made. A key feature of the model is the
description of the ordinary QCD degrees of freedom via the auxiliary fields of
the supersymmetric effective Lagrangian. Once the anomaly induced effective QCD
meson potential is deduced we also suggest a decoupling procedure, when a
flavored quark becomes massive, which mimics the one employed by Seiberg for
supersymmetric theories. It is seen that, after quark decoupling, the QCD
potential naturally converts to the one with one less flavor. Finally we
investigate the N_c and N_f dependence of the \eta^{\prime} mass.
|
[
{
"created": "Mon, 29 Jun 1998 14:41:33 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Sannino",
"Francesco",
"",
"Yale University"
]
] |
We present a ``toy'' model for breaking supersymmetric gauge theories at the effective Lagrangian level. We show that it is possible to achieve the decoupling of gluinos and squarks, below a given supersymmetry breaking scale m, in the fundamental theory for super QCD once a suitable choice of supersymmetry breaking terms is made. A key feature of the model is the description of the ordinary QCD degrees of freedom via the auxiliary fields of the supersymmetric effective Lagrangian. Once the anomaly induced effective QCD meson potential is deduced we also suggest a decoupling procedure, when a flavored quark becomes massive, which mimics the one employed by Seiberg for supersymmetric theories. It is seen that, after quark decoupling, the QCD potential naturally converts to the one with one less flavor. Finally we investigate the N_c and N_f dependence of the \eta^{\prime} mass.
| 12.492332
| 11.505675
| 11.58445
| 11.489975
| 11.56752
| 11.26212
| 12.723778
| 11.204888
| 11.318352
| 13.429761
| 11.352775
| 11.684804
| 12.400629
| 12.074929
| 11.85701
| 12.019454
| 12.01322
| 12.20346
| 12.092402
| 12.088441
| 12.010611
|
2405.17553
|
Matti Jarvinen
|
Matti Jarvinen, Dorin Weissman
|
A black hole effective theory for strongly interacting matter
|
10 pages, 2 figures
| null | null |
APCTP Pre2024 - 012
|
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We establish a new tool for studying strongly coupled matter: an effective
theory of black holes in gravity, which maps to a hydrodynamic description of
field theories via the gauge-gravity duality. Our approach is inspired by
previously known effective theories found in the limit of high number of
dimensions. We argue that the new approach can accurately describe phase
transitions in a wide class of theories, such as the Yang-Mills and other
nearly critical field theories. As an application, we analyze the interface
between confining and deconfining phases in holographic Yang-Mills theory.
|
[
{
"created": "Mon, 27 May 2024 18:00:01 GMT",
"version": "v1"
}
] |
2024-05-29
|
[
[
"Jarvinen",
"Matti",
""
],
[
"Weissman",
"Dorin",
""
]
] |
We establish a new tool for studying strongly coupled matter: an effective theory of black holes in gravity, which maps to a hydrodynamic description of field theories via the gauge-gravity duality. Our approach is inspired by previously known effective theories found in the limit of high number of dimensions. We argue that the new approach can accurately describe phase transitions in a wide class of theories, such as the Yang-Mills and other nearly critical field theories. As an application, we analyze the interface between confining and deconfining phases in holographic Yang-Mills theory.
| 12.146934
| 11.878888
| 12.717907
| 11.100875
| 12.489158
| 11.310803
| 11.81633
| 11.14127
| 11.03474
| 11.918456
| 12.094091
| 11.344527
| 11.665941
| 11.691628
| 11.388881
| 11.474722
| 11.519935
| 11.12512
| 11.345294
| 11.988424
| 11.053453
|
2302.04895
|
Henriette Elvang
|
Alan Shih-Kuan Chen, Henriette Elvang, Aidan Herderschee
|
Bootstrapping the String KLT Kernel
|
8 pages, LCTP-23-01
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that a generalized version of the 4-point string theory KLT
double-copy map is the most general solution to the minimal-rank double-copy
bootstrap in effective field theory. This follows from significant restrictions
of the 4-point map resulting from the 6-point bootstrap analysis. The
generalized 4-point double-copy map is defined by a function with only two
parameters times a simple function that is symmetric in $s,t,u$. The two
parameters can be interpreted as independent choices of $\alpha'$, one for each
of the two sets of amplitudes double-copied with the map. Specifically, each of
those two sets of amplitudes must obey either the string monodromy relations or
the field theory KK & BCJ relations; there are no other options. We propose a
closed form of the new double-copy map that interpolates between the original
KLT string double-copy and the open & closed string period integrals. The
construction clarifies the "single-valued projection" property of the Riemann
zeta-function values for the 4-point string theory double copy.
|
[
{
"created": "Thu, 9 Feb 2023 19:00:33 GMT",
"version": "v1"
}
] |
2023-02-13
|
[
[
"Chen",
"Alan Shih-Kuan",
""
],
[
"Elvang",
"Henriette",
""
],
[
"Herderschee",
"Aidan",
""
]
] |
We show that a generalized version of the 4-point string theory KLT double-copy map is the most general solution to the minimal-rank double-copy bootstrap in effective field theory. This follows from significant restrictions of the 4-point map resulting from the 6-point bootstrap analysis. The generalized 4-point double-copy map is defined by a function with only two parameters times a simple function that is symmetric in $s,t,u$. The two parameters can be interpreted as independent choices of $\alpha'$, one for each of the two sets of amplitudes double-copied with the map. Specifically, each of those two sets of amplitudes must obey either the string monodromy relations or the field theory KK & BCJ relations; there are no other options. We propose a closed form of the new double-copy map that interpolates between the original KLT string double-copy and the open & closed string period integrals. The construction clarifies the "single-valued projection" property of the Riemann zeta-function values for the 4-point string theory double copy.
| 12.684854
| 13.636425
| 14.105213
| 11.857878
| 13.004786
| 14.133294
| 13.464565
| 13.197125
| 12.078082
| 14.208032
| 11.886463
| 12.583924
| 13.274964
| 12.491885
| 12.186576
| 12.857367
| 12.526567
| 12.388584
| 12.576929
| 13.262567
| 12.341723
|
hep-th/0604132
|
Shahn Majid
|
S. Majid
|
Algebraic approach to quantum gravity III: noncommmutative Riemannian
geometry
|
25 pages, 1 .eps figure, to appear in collection B. Fauser and J.
Tolksdorf, eds., Birkhauser
| null | null | null |
hep-th gr-qc math.QA
| null |
This is a self-contained introduction to quantum Riemannian geometry based on
quantum groups as frame groups, and its proposed role in quantum gravity. Much
of the article is about the generalisation of classical Riemannian geometry
that arises naturally as the classical limit; a theory with nonsymmetric metric
and a skew version of metric compatibilty. Meanwhile, in quantum gravity a key
ingredient of our approach is the proposal that the differential structure of
spacetime is something that itself must be summed over or `quantised' as a
physical degree of freedom. We illustrate such a scheme for quantum gravity on
small finite sets.
|
[
{
"created": "Wed, 19 Apr 2006 12:05:05 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Majid",
"S.",
""
]
] |
This is a self-contained introduction to quantum Riemannian geometry based on quantum groups as frame groups, and its proposed role in quantum gravity. Much of the article is about the generalisation of classical Riemannian geometry that arises naturally as the classical limit; a theory with nonsymmetric metric and a skew version of metric compatibilty. Meanwhile, in quantum gravity a key ingredient of our approach is the proposal that the differential structure of spacetime is something that itself must be summed over or `quantised' as a physical degree of freedom. We illustrate such a scheme for quantum gravity on small finite sets.
| 21.531843
| 20.183128
| 16.580103
| 16.328991
| 19.01272
| 18.189301
| 21.569836
| 19.302311
| 18.56673
| 24.16
| 18.532131
| 18.05118
| 18.847309
| 17.807306
| 17.623381
| 18.119131
| 18.818329
| 17.862453
| 17.159561
| 18.776417
| 17.049992
|
2406.19988
|
James Edwards
|
F. Bastianelli, O. Corradini, J.P. Edwards, D.G.C. McKeon, C. Schubert
|
Unified worldline treatment of Yukawa and axial couplings
|
32 pages, 1 figure
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We provide a worldline representation of the one-loop effective action for a
Dirac particle coupled to external scalar, pseudoscalar, vector and axialvector
fields. Extending previous work by two of the authors on the pure
vector-axialvector case to all four couplings, it allows one to treat the real
and the imaginary parts of the effective action in a unified manner, at the
price of having a non-Hermitian Hamiltonian.
Unlike existing worldline representations, our new worldline action contains
terms with an odd number of Grassmann fields, leading to ordering problems that
in the worldline formalism are usually encountered only in curved space.
Drawing on the highly developed technology for worldline path-integrals in
gravity, we employ the Time Slicing regularisation of the path integral which
comes about with a specific ``counterterm Lagrangian'', which we calculate once
and for all and non-perturbatively, to provide unambiguous rules to treat
products of distributions occurring in some diagrams of the one-dimensional
worldline theory. We then employ the usual worldline machinery to lay out the
rules for the calculation of the effective action itself as well as the
corresponding one-loop amplitudes.
We test the formalism on the calculation of various heat-kernel coefficients,
self energies and scattering amplitudes, including the Higgs decay into two
photons or gluons and the PCAC relation. In all cases we find perfect agreement
with more established approaches.
|
[
{
"created": "Fri, 28 Jun 2024 15:19:24 GMT",
"version": "v1"
}
] |
2024-07-01
|
[
[
"Bastianelli",
"F.",
""
],
[
"Corradini",
"O.",
""
],
[
"Edwards",
"J. P.",
""
],
[
"McKeon",
"D. G. C.",
""
],
[
"Schubert",
"C.",
""
]
] |
We provide a worldline representation of the one-loop effective action for a Dirac particle coupled to external scalar, pseudoscalar, vector and axialvector fields. Extending previous work by two of the authors on the pure vector-axialvector case to all four couplings, it allows one to treat the real and the imaginary parts of the effective action in a unified manner, at the price of having a non-Hermitian Hamiltonian. Unlike existing worldline representations, our new worldline action contains terms with an odd number of Grassmann fields, leading to ordering problems that in the worldline formalism are usually encountered only in curved space. Drawing on the highly developed technology for worldline path-integrals in gravity, we employ the Time Slicing regularisation of the path integral which comes about with a specific ``counterterm Lagrangian'', which we calculate once and for all and non-perturbatively, to provide unambiguous rules to treat products of distributions occurring in some diagrams of the one-dimensional worldline theory. We then employ the usual worldline machinery to lay out the rules for the calculation of the effective action itself as well as the corresponding one-loop amplitudes. We test the formalism on the calculation of various heat-kernel coefficients, self energies and scattering amplitudes, including the Higgs decay into two photons or gluons and the PCAC relation. In all cases we find perfect agreement with more established approaches.
| 10.67208
| 11.119939
| 11.380002
| 9.885762
| 11.514648
| 11.011122
| 10.766641
| 10.558531
| 10.145908
| 10.851333
| 10.122529
| 9.848965
| 9.886878
| 9.961401
| 10.117959
| 9.85966
| 10.210287
| 9.880022
| 9.883075
| 10.293653
| 9.889943
|
hep-th/0306210
|
Mikhail Plyushchay
|
Andres Anabalon and Mikhail S. Plyushchay
|
Interaction via reduction and nonlinear superconformal symmetry
|
12 pages; typos corrected
|
Phys.Lett. B572 (2003) 202-209
|
10.1016/j.physletb.2003.08.030
| null |
hep-th math-ph math.MP nlin.SI
| null |
We show that the reduction of a planar free spin-1/2 particle system by the
constraint fixing its total angular momentum produces the one-dimensional
Akulov-Pashnev-Fubini-Rabinovici superconformal mechanics model with the
nontrivially coupled boson and fermion degrees of freedom. The modification of
the constraint by including the particle's spin with the relative weight $n\in
\N$, $n>1$, and subsequent application of the Dirac reduction procedure (`first
quantize and then reduce') give rise to the anomaly free quantum system with
the order $n$ nonlinear superconformal symmetry constructed recently in
hep-th/0304257. We establish the origin of the quantum corrections to the
integrals of motion generating the nonlinear superconformal algebra, and fix
completely its form.
|
[
{
"created": "Fri, 20 Jun 2003 21:54:34 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Jun 2003 14:43:48 GMT",
"version": "v2"
},
{
"created": "Mon, 22 Sep 2003 20:21:34 GMT",
"version": "v3"
}
] |
2015-06-26
|
[
[
"Anabalon",
"Andres",
""
],
[
"Plyushchay",
"Mikhail S.",
""
]
] |
We show that the reduction of a planar free spin-1/2 particle system by the constraint fixing its total angular momentum produces the one-dimensional Akulov-Pashnev-Fubini-Rabinovici superconformal mechanics model with the nontrivially coupled boson and fermion degrees of freedom. The modification of the constraint by including the particle's spin with the relative weight $n\in \N$, $n>1$, and subsequent application of the Dirac reduction procedure (`first quantize and then reduce') give rise to the anomaly free quantum system with the order $n$ nonlinear superconformal symmetry constructed recently in hep-th/0304257. We establish the origin of the quantum corrections to the integrals of motion generating the nonlinear superconformal algebra, and fix completely its form.
| 13.562782
| 15.096462
| 16.822048
| 13.93214
| 14.327478
| 15.06845
| 14.025311
| 13.707567
| 13.766809
| 18.309559
| 13.432069
| 13.2285
| 14.168335
| 13.884
| 13.967752
| 13.351568
| 13.428508
| 13.25296
| 13.341186
| 13.788466
| 13.106792
|
hep-th/0402195
|
Gary McCartor
|
Yuji Nakawaki and Gary McCartor
|
Extended Hamiltonian Formalism of the Pure Space-Like Axial Gauge
Schwinger Model II
|
19 pages
|
Prog.Theor.Phys. 111 (2004) 943-960
|
10.1143/PTP.111.943
|
SMUHEP/04-01
|
hep-th
| null |
Canonical methods are not sufficient to properly quantize space-like axial
gauges. In this paper, we obtain guiding principles which allow the
construction of an extended Hamiltonian formalism for pure space-like axial
gauge fields. To do so, we clarify the general role residual gauge fields play
in the space-like axial gauge Schwinger model. In all the calculations we fix
the gauge using a rule, $n{\cdot}A=0$, where $n$ is a space-like constant
vector and we refer to its direction as $x_-$. Then, to begin with, we
construct a formulation in which the quantization surface is space-like but not
parallel to the direction of $n$. The quantization surface has a parameter
which allows us to rotate it, but when we do so we keep the direction of the
gauge field fixed. In that formulation we can use canonical methods. We
bosonize the model to simplify the investigation. We find that the
antiderivative, $({\partial}_-)^{-1}$, is ill-defined whatever quantization
coordinates we use as long as the direction of $n$ is space-like. We find that
the physical part of the dipole ghost field includes infrared divergences.
However, we also find that if we introduce residual gauge fields in such a way
that the dipole ghost field satisfies the canonical commutation relations, then
the residual gauge fields are determined so as to regularize the infrared
divergences contained in the physical part. The propagators then take the form
prescribed by Mandelstam and Leibbrandt. We make use of these properties to
develop guiding principles which allow us to construct consistent operator
solutions in the pure space-like case where the quantization surface is
parallel to the direction of $n$ and canonical methods do not suffice.
|
[
{
"created": "Tue, 24 Feb 2004 21:55:36 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Nakawaki",
"Yuji",
""
],
[
"McCartor",
"Gary",
""
]
] |
Canonical methods are not sufficient to properly quantize space-like axial gauges. In this paper, we obtain guiding principles which allow the construction of an extended Hamiltonian formalism for pure space-like axial gauge fields. To do so, we clarify the general role residual gauge fields play in the space-like axial gauge Schwinger model. In all the calculations we fix the gauge using a rule, $n{\cdot}A=0$, where $n$ is a space-like constant vector and we refer to its direction as $x_-$. Then, to begin with, we construct a formulation in which the quantization surface is space-like but not parallel to the direction of $n$. The quantization surface has a parameter which allows us to rotate it, but when we do so we keep the direction of the gauge field fixed. In that formulation we can use canonical methods. We bosonize the model to simplify the investigation. We find that the antiderivative, $({\partial}_-)^{-1}$, is ill-defined whatever quantization coordinates we use as long as the direction of $n$ is space-like. We find that the physical part of the dipole ghost field includes infrared divergences. However, we also find that if we introduce residual gauge fields in such a way that the dipole ghost field satisfies the canonical commutation relations, then the residual gauge fields are determined so as to regularize the infrared divergences contained in the physical part. The propagators then take the form prescribed by Mandelstam and Leibbrandt. We make use of these properties to develop guiding principles which allow us to construct consistent operator solutions in the pure space-like case where the quantization surface is parallel to the direction of $n$ and canonical methods do not suffice.
| 9.360443
| 9.693414
| 10.096998
| 9.487231
| 9.93895
| 10.098399
| 9.60749
| 9.577103
| 9.305258
| 10.79641
| 9.570355
| 9.314543
| 9.634855
| 9.372353
| 9.598297
| 9.258503
| 9.527859
| 9.545835
| 9.329612
| 9.834914
| 9.190496
|
hep-th/9301114
| null |
M. Bonini, M. D'Attanasio and G. Marchesini
|
Perturbative renormalization and infrared finiteness in the Wilson
renormalization group: the massless scalar case
|
Latex file, 21 pages and 6 figures (included), Parma Univ. preprint
UPRF-92-360
|
Nucl.Phys. B409 (1993) 441-464
|
10.1016/0550-3213(93)90588-G
| null |
hep-th
| null |
A new proof of perturbative renormalizability and infrared finiteness for a
scalar massless theory is obtained from a formulation of renormalized field
theory based on the Wilson renormalization group. The loop expansion of the
renormalized Green functions is deduced from the Polchinski equation of
renormalization group. The resulting Feynman graphs are organized in such a way
that the loop momenta are ordered. It is then possible to analyse their
ultraviolet and infrared behaviours by iterative methods. The necessary
subtractions and the corresponding counterterms are automatically generated in
the process of fixing the physical conditions for the ``relevant'' vertices at
the normalization point. The proof of perturbative renormalizability and
infrared finiteness is simply based on dimensional arguments and does not
require the usual analysis of topological properties of Feynman graphs.
|
[
{
"created": "Wed, 27 Jan 1993 15:59:00 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Bonini",
"M.",
""
],
[
"D'Attanasio",
"M.",
""
],
[
"Marchesini",
"G.",
""
]
] |
A new proof of perturbative renormalizability and infrared finiteness for a scalar massless theory is obtained from a formulation of renormalized field theory based on the Wilson renormalization group. The loop expansion of the renormalized Green functions is deduced from the Polchinski equation of renormalization group. The resulting Feynman graphs are organized in such a way that the loop momenta are ordered. It is then possible to analyse their ultraviolet and infrared behaviours by iterative methods. The necessary subtractions and the corresponding counterterms are automatically generated in the process of fixing the physical conditions for the ``relevant'' vertices at the normalization point. The proof of perturbative renormalizability and infrared finiteness is simply based on dimensional arguments and does not require the usual analysis of topological properties of Feynman graphs.
| 7.29178
| 7.68512
| 7.913724
| 7.297083
| 7.999727
| 8.139728
| 7.759581
| 7.577369
| 7.406774
| 8.996047
| 7.206007
| 7.306699
| 7.313725
| 7.076198
| 7.245401
| 7.264732
| 7.378802
| 7.082322
| 7.216823
| 7.429752
| 7.293461
|
1007.1457
|
Pedro Pina Avelino
|
P.P. Avelino, D. Bazeia, R. Menezes, J.G.G.S. Ramos
|
Localized D-dimensional global k-defects
|
6 pages, published version
|
Eur.Phys.J.C71:1683,2011
|
10.1140/epjc/s10052-011-1683-5
| null |
hep-th astro-ph.CO hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explicitly demonstrate the existence of static global defect solutions of
arbitrary dimensionality whose energy does not diverge at spatial infinity, by
considering maximally symmetric solutions described by an action with
non-standard kinetic terms in a D+1 dimensional Minkowski space-time. We
analytically determine the defect profile both at small and large distances
from the defect centre. We verify the stability of such solutions and discuss
possible implications of our findings, in particular for dark matter and charge
fractionalization in graphene.
|
[
{
"created": "Thu, 8 Jul 2010 20:00:08 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Oct 2010 18:41:47 GMT",
"version": "v2"
},
{
"created": "Mon, 4 Jul 2011 08:25:28 GMT",
"version": "v3"
}
] |
2011-07-05
|
[
[
"Avelino",
"P. P.",
""
],
[
"Bazeia",
"D.",
""
],
[
"Menezes",
"R.",
""
],
[
"Ramos",
"J. G. G. S.",
""
]
] |
We explicitly demonstrate the existence of static global defect solutions of arbitrary dimensionality whose energy does not diverge at spatial infinity, by considering maximally symmetric solutions described by an action with non-standard kinetic terms in a D+1 dimensional Minkowski space-time. We analytically determine the defect profile both at small and large distances from the defect centre. We verify the stability of such solutions and discuss possible implications of our findings, in particular for dark matter and charge fractionalization in graphene.
| 12.155704
| 11.706219
| 12.558421
| 11.9519
| 11.562042
| 11.098511
| 10.995735
| 11.58566
| 10.895159
| 12.12811
| 11.912451
| 11.334119
| 11.85017
| 11.213793
| 11.127295
| 11.479525
| 11.425367
| 11.295866
| 11.533668
| 11.155985
| 11.4271
|
1606.01770
|
Herondy Mota
|
H. F. Mota, E. R. Bezerra de Mello, C. H. G. Bessa, V. B. Bezerra
|
Light-Cone Fluctuations in the Cosmic String Spacetime
|
19 pages, 1 figure
|
Phys. Rev. D 94, 024039 (2016)
|
10.1103/PhysRevD.94.024039
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we consider light-cone fluctuations arising as a consequence of
the nontrivial topology of the locally flat cosmic string spacetime. By setting
the light-cone along the z-direction we are able to develop a full analysis to
calculate the renormalized graviton two-point function, as well as the mean
square fluctuation in the geodesic interval function and the time delay (or
advance) in the propagation of a light-pulse. We found that all these
expressions depend upon the parameter characterizing the conical topology of
the cosmic string spacetime and vanish in the absence of it. We also point out
that at large distances from the cosmic string the mean square fluctuation in
the geodesic interval function is extremely small while in the opposite limit
it logarithmically increases, improving the signal and thus, making possible
the detection of such quantity.
|
[
{
"created": "Mon, 6 Jun 2016 14:48:00 GMT",
"version": "v1"
}
] |
2016-07-27
|
[
[
"Mota",
"H. F.",
""
],
[
"de Mello",
"E. R. Bezerra",
""
],
[
"Bessa",
"C. H. G.",
""
],
[
"Bezerra",
"V. B.",
""
]
] |
In this paper we consider light-cone fluctuations arising as a consequence of the nontrivial topology of the locally flat cosmic string spacetime. By setting the light-cone along the z-direction we are able to develop a full analysis to calculate the renormalized graviton two-point function, as well as the mean square fluctuation in the geodesic interval function and the time delay (or advance) in the propagation of a light-pulse. We found that all these expressions depend upon the parameter characterizing the conical topology of the cosmic string spacetime and vanish in the absence of it. We also point out that at large distances from the cosmic string the mean square fluctuation in the geodesic interval function is extremely small while in the opposite limit it logarithmically increases, improving the signal and thus, making possible the detection of such quantity.
| 9.237816
| 9.498857
| 9.146457
| 8.31926
| 9.002451
| 9.080542
| 8.576521
| 9.126163
| 8.481193
| 9.692613
| 8.874193
| 8.804279
| 9.170874
| 9.153328
| 8.818788
| 8.66674
| 9.107054
| 8.701866
| 9.151128
| 9.166947
| 9.010579
|
hep-th/0203089
|
Kluson Josef
|
J. Kluson
|
Marginal Deformations In the Open Bosonic String Field Theory for N
D0-branes
|
14 pages
|
Class.Quant.Grav. 20 (2003) 827-844
|
10.1088/0264-9381/20/5/304
| null |
hep-th
| null |
In this short note we give an example of the exact solution of the open
bosonic string field theory defined on the background of $N$ coincided
D0-branes. This solution leads to the change of the original background to the
background where D0-branes are localised in general positions.
|
[
{
"created": "Sun, 10 Mar 2002 11:09:35 GMT",
"version": "v1"
}
] |
2017-01-18
|
[
[
"Kluson",
"J.",
""
]
] |
In this short note we give an example of the exact solution of the open bosonic string field theory defined on the background of $N$ coincided D0-branes. This solution leads to the change of the original background to the background where D0-branes are localised in general positions.
| 12.027816
| 8.059215
| 9.78007
| 7.842738
| 8.628622
| 8.638299
| 7.905687
| 8.967013
| 8.757175
| 9.530278
| 8.557374
| 7.823744
| 8.293563
| 8.467413
| 8.797441
| 8.069395
| 7.857615
| 8.213726
| 8.299505
| 8.909119
| 8.652476
|
hep-th/0510154
|
Andrzej Borowiec
|
A. Borowiec (IFT, Wroclaw Univ.), J. Lukierski (IFT, Wroclaw Univ.),
V.N. Tolstoy (INP, Moscow State Univ.)
|
On Twist Quantizations of D=4 Lorentz and Poincare Algebras
|
6 pages, presented during the XIVth International Colloquium on
Integrable Systems (ISQS-14), Prague, June 16-18, 2005; to appear in Czech.
J. Phys. v.55 no. 11 (2005)
|
Czech.J.Phys.55:11,2005
|
10.1007/s10582-006-0008-7
| null |
hep-th math-ph math.MP math.QA
| null |
We use the decomposition of o(3,1)=sl(2;C)_1\oplus sl(2;C)_2 in order to
describe nonstandard quantum deformation of o(3,1) linked with Jordanian
deformation of sl(2;C}. Using twist quantization technique we obtain the
deformed coproducts and antipodes which can be expressed in terms of real
physical Lorentz generators. We describe the extension of the considered
deformation of D=4 Lorentz algebra to the twist deformation of D=4 Poincare
algebra with dimensionless deformation parameter.
|
[
{
"created": "Tue, 18 Oct 2005 14:58:14 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Borowiec",
"A.",
"",
"IFT, Wroclaw Univ."
],
[
"Lukierski",
"J.",
"",
"IFT, Wroclaw Univ."
],
[
"Tolstoy",
"V. N.",
"",
"INP, Moscow State Univ."
]
] |
We use the decomposition of o(3,1)=sl(2;C)_1\oplus sl(2;C)_2 in order to describe nonstandard quantum deformation of o(3,1) linked with Jordanian deformation of sl(2;C}. Using twist quantization technique we obtain the deformed coproducts and antipodes which can be expressed in terms of real physical Lorentz generators. We describe the extension of the considered deformation of D=4 Lorentz algebra to the twist deformation of D=4 Poincare algebra with dimensionless deformation parameter.
| 10.013669
| 8.274747
| 10.761892
| 8.231467
| 8.074953
| 7.68803
| 7.814449
| 8.201384
| 7.467509
| 11.070908
| 8.14056
| 8.271635
| 9.54457
| 8.558012
| 8.43938
| 8.466173
| 8.223546
| 8.297596
| 8.407161
| 9.308024
| 8.738303
|
1107.1325
|
Jonathan Pearson Mr
|
Richard A. Battye, Jonathan A. Pearson, Adam Moss
|
X-type and Y-type junction stability in domain wall networks
|
24 pages, 13 figures; typos fixed
| null |
10.1103/PhysRevD.84.125032
| null |
hep-th astro-ph.CO cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We develop an analytic formalism that allows one to quantify the stability
properties of X-type and Y-type junctions in domain wall networks in two
dimensions. A similar approach might be applicable to more general defect
systems involving junctions that appear in a range of physical situations, for
example, in the context of F- and D-type strings in string theory. We apply
this formalism to a particular field theory, Carter's pentavac model, where the
strength of the symmetry breaking is governed by the parameter $|\epsilon|< 1$.
We find that for low values of the symmetry breaking parameter X-type junctions
will be stable, whereas for higher values an X-type junction will separate into
two Y-type junctions. The critical angle separating the two regimes is given by
\alpha_c = 293^{\circ}\sqrt{|\epsilon|}$ and this is confirmed using simple
numerical experiments. We go on to simulate the pentavac model from random
initial conditions and we find that the dominant junction is of \ytype for
$|\epsilon| \geq 0.02$ and is of \xtype for $|\epsilon| \leq 0.02$. We also
find that for small $\epsilon$ the evolution of the number of domain walls
$\qsubrm{N}{dw}$ in Minkowski space does not follow the standard $\propto
t^{-1}$ scaling law with the deviation from the standard lore being more
pronounced as $\epsilon$ is decreased. The presence of dissipation appears to
restore the $t^{-1}$ lore.
|
[
{
"created": "Thu, 7 Jul 2011 09:38:44 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Jan 2012 10:07:32 GMT",
"version": "v2"
}
] |
2015-03-19
|
[
[
"Battye",
"Richard A.",
""
],
[
"Pearson",
"Jonathan A.",
""
],
[
"Moss",
"Adam",
""
]
] |
We develop an analytic formalism that allows one to quantify the stability properties of X-type and Y-type junctions in domain wall networks in two dimensions. A similar approach might be applicable to more general defect systems involving junctions that appear in a range of physical situations, for example, in the context of F- and D-type strings in string theory. We apply this formalism to a particular field theory, Carter's pentavac model, where the strength of the symmetry breaking is governed by the parameter $|\epsilon|< 1$. We find that for low values of the symmetry breaking parameter X-type junctions will be stable, whereas for higher values an X-type junction will separate into two Y-type junctions. The critical angle separating the two regimes is given by \alpha_c = 293^{\circ}\sqrt{|\epsilon|}$ and this is confirmed using simple numerical experiments. We go on to simulate the pentavac model from random initial conditions and we find that the dominant junction is of \ytype for $|\epsilon| \geq 0.02$ and is of \xtype for $|\epsilon| \leq 0.02$. We also find that for small $\epsilon$ the evolution of the number of domain walls $\qsubrm{N}{dw}$ in Minkowski space does not follow the standard $\propto t^{-1}$ scaling law with the deviation from the standard lore being more pronounced as $\epsilon$ is decreased. The presence of dissipation appears to restore the $t^{-1}$ lore.
| 9.180621
| 10.787569
| 10.177379
| 9.527941
| 10.938858
| 11.184129
| 10.317931
| 9.70668
| 9.798162
| 11.18615
| 9.462195
| 9.603244
| 9.892311
| 9.382865
| 9.675519
| 9.669025
| 9.577992
| 9.58271
| 9.345075
| 9.701352
| 9.252048
|
hep-th/9412207
|
Giovanni Felder
|
Giovanni Felder
|
Elliptic quantum groups
|
9 pages, LaTeX
| null | null | null |
hep-th
| null |
This note for the Proceedings of the International Congress of Mathematical
Physics gives an account of a construction of an ``elliptic quantum group''
associated with each simple classical Lie algebra. It is closely related to
elliptic face models of statistical mechanics, and, in its semiclassical limit,
to the Wess-Zumino-Witten model of conformal field theory on tori.
|
[
{
"created": "Thu, 22 Dec 1994 11:03:07 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Felder",
"Giovanni",
""
]
] |
This note for the Proceedings of the International Congress of Mathematical Physics gives an account of a construction of an ``elliptic quantum group'' associated with each simple classical Lie algebra. It is closely related to elliptic face models of statistical mechanics, and, in its semiclassical limit, to the Wess-Zumino-Witten model of conformal field theory on tori.
| 9.857754
| 11.212521
| 10.422997
| 8.787238
| 8.892724
| 9.752196
| 9.193438
| 9.939004
| 9.353757
| 11.075681
| 9.389037
| 9.020069
| 9.753986
| 8.645976
| 8.789515
| 8.479613
| 8.945865
| 8.718728
| 8.567583
| 9.57697
| 8.287393
|
0907.3238
|
Arkady Tseytlin
|
A.A. Tseytlin
|
Quantum strings in AdS5 x S5 and AdS/CFT duality
|
13 pages. Contribution to proceedings of the conference: "Crossing
the boundaries: Gauge dynamics at strong coupling", honoring the 60th
birthday of M.A. Shifman, Minneapolis, May 14-17, 2009. misprints corrected
|
Int.J.Mod.Phys.A25:319-331,2010
|
10.1142/S0217751X10048640
|
IMPERIAL-TP-AT-2009-4
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review some recent progress in understanding the spectrum of
energies/dimensions of strings/operators in AdS5 x S5 -- planar N=4 super
Yang-Mills correspondence. We consider leading strong coupling corrections to
the energy of lightest massive string modes in AdS5 x S5, which should be dual
to members of the Konishi operator multiplet in the SYM theory. This determines
the general structure of strong-coupling expansion of the anomalous dimension
of the Konishi operator. Following arXiv:0906.4294 we use 1-loop results for
semiclassical string states to extract information about the leading
coefficients in this expansion.
|
[
{
"created": "Sat, 18 Jul 2009 18:57:13 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Jul 2009 09:50:02 GMT",
"version": "v2"
},
{
"created": "Fri, 31 Jul 2009 12:53:10 GMT",
"version": "v3"
},
{
"created": "Wed, 23 Sep 2009 15:59:25 GMT",
"version": "v4"
},
{
"created": "Mon, 7 Dec 2020 15:47:13 GMT",
"version": "v5"
}
] |
2020-12-08
|
[
[
"Tseytlin",
"A. A.",
""
]
] |
We review some recent progress in understanding the spectrum of energies/dimensions of strings/operators in AdS5 x S5 -- planar N=4 super Yang-Mills correspondence. We consider leading strong coupling corrections to the energy of lightest massive string modes in AdS5 x S5, which should be dual to members of the Konishi operator multiplet in the SYM theory. This determines the general structure of strong-coupling expansion of the anomalous dimension of the Konishi operator. Following arXiv:0906.4294 we use 1-loop results for semiclassical string states to extract information about the leading coefficients in this expansion.
| 9.622322
| 8.699225
| 11.366529
| 8.708439
| 9.098223
| 9.333963
| 8.470793
| 8.622971
| 8.18012
| 12.93614
| 8.665873
| 8.795875
| 9.463434
| 8.936213
| 9.303516
| 8.602591
| 8.902452
| 8.887445
| 8.85982
| 9.539465
| 8.818252
|
hep-th/9301082
| null |
Jun Liu
|
Evolution of Pure States into Mixed States
|
6 pages
| null | null |
SU-ITP-93-1
|
hep-th
| null |
In the formulation of Banks, Peskin and Susskind, we show that one can
construct evolution equations for the quantum mechanical density matrix $\rho$
with operators which do not commute with hamiltonian which evolve pure states
into mixed states, preserve the normalization and positivity of $\rho$ and
conserve energy. Furthermore, it seems to be different from a quantum
mechanical system with random sources.
|
[
{
"created": "Tue, 19 Jan 1993 21:29:00 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Jan 1993 18:29:00 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Liu",
"Jun",
""
]
] |
In the formulation of Banks, Peskin and Susskind, we show that one can construct evolution equations for the quantum mechanical density matrix $\rho$ with operators which do not commute with hamiltonian which evolve pure states into mixed states, preserve the normalization and positivity of $\rho$ and conserve energy. Furthermore, it seems to be different from a quantum mechanical system with random sources.
| 17.162294
| 17.131523
| 18.712948
| 14.927734
| 14.64851
| 13.256029
| 15.478502
| 14.279623
| 14.256868
| 16.640974
| 14.7995
| 14.493984
| 14.574471
| 14.356545
| 14.320017
| 14.171038
| 15.189012
| 14.309195
| 14.363603
| 15.340848
| 15.070943
|
0706.0442
|
Nikolay Bobev
|
N.P. Bobev and R.C. Rashkov
|
Spiky Strings, Giant Magnons and beta-deformations
|
20 pages, 2 figures; v2: typos corrected, references added
|
Phys.Rev.D76:046008,2007
|
10.1103/PhysRevD.76.046008
| null |
hep-th
| null |
We study rigid string solutions rotating on the S^3 subspace of the
beta-deformed AdS_5xS^5 background found by Lunin and Maldacena. For particular
values of the parameters of the solutions we find the known giant magnon and
single spike strings. We present a single spike string solution on the deformed
S^3 and find how the deformation affects the dispersion relation. The possible
relation of this string solution to spin chains and the connection of the
solutions on the undeformed S^3 to the sine-Gordon model are briefly discussed.
|
[
{
"created": "Mon, 4 Jun 2007 14:10:44 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Jun 2007 00:11:36 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Bobev",
"N. P.",
""
],
[
"Rashkov",
"R. C.",
""
]
] |
We study rigid string solutions rotating on the S^3 subspace of the beta-deformed AdS_5xS^5 background found by Lunin and Maldacena. For particular values of the parameters of the solutions we find the known giant magnon and single spike strings. We present a single spike string solution on the deformed S^3 and find how the deformation affects the dispersion relation. The possible relation of this string solution to spin chains and the connection of the solutions on the undeformed S^3 to the sine-Gordon model are briefly discussed.
| 7.369856
| 5.830643
| 8.47295
| 6.043156
| 6.055519
| 6.261308
| 6.040132
| 5.804433
| 6.000499
| 7.976639
| 6.18839
| 6.332229
| 7.544551
| 6.427852
| 6.654013
| 6.372308
| 6.528223
| 6.339796
| 6.605162
| 7.468602
| 6.758769
|
1407.3478
|
Dionisio Bazeia
|
D. Bazeia, L. Losano, M.A. Marques, R. Menezes
|
From Kinks to Compactons
|
7 pages, 7 figures; new version, to appear in PLB
|
Phys. Lett. B 736 (2014) 515
|
10.1016/j.physletb.2014.08.015
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This work deals with the presence of localized structures in relativistic
systems described by a single real scalar field in two-dimensional spacetime.
We concentrate on kinks and compactons in models with standard kinematics, and
we develop a procedure that help us to smoothly go from kinks to compactons in
the suggested scenario. We also show how the procedure works in the braneworld
scenario, for flat brane in the five-dimensional spacetime with a single extra
dimension of infinite extent. The brane unveils a hybrid profile when the kink
becomes a compacton, behaving as a thick or thin brane, depending on the extra
dimension being inside or outside a compact space.
|
[
{
"created": "Sun, 13 Jul 2014 15:22:28 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Aug 2014 21:00:18 GMT",
"version": "v2"
}
] |
2014-08-26
|
[
[
"Bazeia",
"D.",
""
],
[
"Losano",
"L.",
""
],
[
"Marques",
"M. A.",
""
],
[
"Menezes",
"R.",
""
]
] |
This work deals with the presence of localized structures in relativistic systems described by a single real scalar field in two-dimensional spacetime. We concentrate on kinks and compactons in models with standard kinematics, and we develop a procedure that help us to smoothly go from kinks to compactons in the suggested scenario. We also show how the procedure works in the braneworld scenario, for flat brane in the five-dimensional spacetime with a single extra dimension of infinite extent. The brane unveils a hybrid profile when the kink becomes a compacton, behaving as a thick or thin brane, depending on the extra dimension being inside or outside a compact space.
| 13.663226
| 8.331507
| 13.161885
| 9.883127
| 10.177056
| 10.089657
| 9.681866
| 8.536607
| 9.292142
| 14.884915
| 9.915735
| 10.879981
| 12.597748
| 11.567747
| 11.329318
| 11.488321
| 11.207026
| 11.353194
| 11.642671
| 12.424823
| 11.482447
|
2301.02342
|
Satoshi Nawata
|
Yanyan Chen, Jiaqun Jiang, Satoshi Nawata and Yilu Shao
|
Instantons on Young diagrams with matters
|
32 pages, Mathematica file is attached: v2, typos corrected, JHEP
version
| null |
10.1007/JHEP03(2023)120
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We present the unrefined instanton partition functions of various 5d gauge
theories with matter beyond the fundamental representation as sums over Young
diagrams. By using these explicit expressions, we verify a range of identities
among the instanton partition functions predicted by Higgsing procedures of
fivebrane web diagrams and representation theory.
|
[
{
"created": "Fri, 6 Jan 2023 00:33:15 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Mar 2023 17:33:04 GMT",
"version": "v2"
}
] |
2023-04-05
|
[
[
"Chen",
"Yanyan",
""
],
[
"Jiang",
"Jiaqun",
""
],
[
"Nawata",
"Satoshi",
""
],
[
"Shao",
"Yilu",
""
]
] |
We present the unrefined instanton partition functions of various 5d gauge theories with matter beyond the fundamental representation as sums over Young diagrams. By using these explicit expressions, we verify a range of identities among the instanton partition functions predicted by Higgsing procedures of fivebrane web diagrams and representation theory.
| 17.493715
| 14.17096
| 17.619699
| 14.306486
| 13.574288
| 13.741357
| 14.373767
| 14.48705
| 13.28974
| 18.944759
| 12.447092
| 13.614285
| 15.029928
| 13.676014
| 13.601481
| 13.987904
| 14.187596
| 14.628686
| 14.735435
| 14.701299
| 13.547602
|
2306.05206
|
Marina David
|
Marina David, Nizar Ezroura, and Finn Larsen
|
The Attractor Flow for AdS$_5$ Black Holes in $\mathcal{N} = 2$ Gauged
Supergravity
| null | null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We study the flow equations for BPS black holes in $\mathcal{N} = 2$
five-dimensional gauged supergravity coupled to any number of vector multiplets
via FI couplings. We develop the Noether-Wald procedure in this context and
exhibit the conserved charges as explicit integrals of motion, in the sense
that they can be computed at any radius on the rotating spacetime. The boundary
conditions needed to solve the first order differential equations are discussed
in great detail. We extremize the entropy function that controls the near
horizon geometry and give explicit formulae for all geometric variables at
their supersymmetric extrema. We have also considered a complexification of the
near-horizon variables that elucidates some features of the theory from the
near-horizon perspective.
|
[
{
"created": "Thu, 8 Jun 2023 14:03:25 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Aug 2023 10:50:47 GMT",
"version": "v2"
}
] |
2023-08-28
|
[
[
"David",
"Marina",
""
],
[
"Ezroura",
"Nizar",
""
],
[
"Larsen",
"Finn",
""
]
] |
We study the flow equations for BPS black holes in $\mathcal{N} = 2$ five-dimensional gauged supergravity coupled to any number of vector multiplets via FI couplings. We develop the Noether-Wald procedure in this context and exhibit the conserved charges as explicit integrals of motion, in the sense that they can be computed at any radius on the rotating spacetime. The boundary conditions needed to solve the first order differential equations are discussed in great detail. We extremize the entropy function that controls the near horizon geometry and give explicit formulae for all geometric variables at their supersymmetric extrema. We have also considered a complexification of the near-horizon variables that elucidates some features of the theory from the near-horizon perspective.
| 10.904694
| 11.38723
| 13.254463
| 10.98946
| 10.872619
| 10.716158
| 11.535015
| 11.019893
| 11.451458
| 13.264789
| 11.029666
| 10.663099
| 11.291284
| 11.151145
| 10.888337
| 10.810828
| 10.591781
| 10.526729
| 10.99206
| 11.002131
| 11.003558
|
hep-th/0306168
|
Clifford V. Johnson
|
James E. Carlisle, Clifford V. Johnson
|
Holographic RG Flows and Universal Structures on the Coulomb Branch of
N=2 Supersymmetric Large n Gauge Theory
|
14 pages, LaTeX, 1 figure
|
JHEP 0307 (2003) 039
|
10.1088/1126-6708/2003/07/039
|
DCPT-03/25
|
hep-th
| null |
We report on our results of D3-brane probing a large class of generalised
type IIB supergravity solutions presented very recently in the literature. The
structure of the solutions is controlled by a single non-linear differential
equation. These solutions correspond to renormalisation group flows from pure
N=4 supersymmetric gauge theory to an N=2 gauge theory with a massive adjoint
scalar. The gauge group is SU(n) with n large. After presenting the general
result, we focus on one of the new solutions, solving for the specific
coordinates needed to display the explicit metric on the moduli space. We
obtain an appropriately holomorphic result for the coupling. We look for the
singular locus, and interestingly, the final result again manifests itself in
terms of a square root branch cut on the complex plane, as previously found for
a set of solutions for which the details are very different. This, together
with the existence of the single simple non-linear differential equation, is
further evidence in support of an earlier suggestion that there is a very
simple model --perhaps a matrix model with relation to the Calogero-Moser
integrable system-- underlying this gauge theory physics.
|
[
{
"created": "Wed, 18 Jun 2003 18:06:55 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Jul 2003 16:54:27 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Carlisle",
"James E.",
""
],
[
"Johnson",
"Clifford V.",
""
]
] |
We report on our results of D3-brane probing a large class of generalised type IIB supergravity solutions presented very recently in the literature. The structure of the solutions is controlled by a single non-linear differential equation. These solutions correspond to renormalisation group flows from pure N=4 supersymmetric gauge theory to an N=2 gauge theory with a massive adjoint scalar. The gauge group is SU(n) with n large. After presenting the general result, we focus on one of the new solutions, solving for the specific coordinates needed to display the explicit metric on the moduli space. We obtain an appropriately holomorphic result for the coupling. We look for the singular locus, and interestingly, the final result again manifests itself in terms of a square root branch cut on the complex plane, as previously found for a set of solutions for which the details are very different. This, together with the existence of the single simple non-linear differential equation, is further evidence in support of an earlier suggestion that there is a very simple model --perhaps a matrix model with relation to the Calogero-Moser integrable system-- underlying this gauge theory physics.
| 13.260878
| 13.079625
| 14.620875
| 12.558732
| 13.131891
| 12.924538
| 13.117929
| 13.148955
| 12.753609
| 15.217995
| 12.284078
| 12.767184
| 13.664235
| 12.360921
| 12.960878
| 12.770329
| 12.795301
| 12.939602
| 12.652091
| 13.451492
| 12.594472
|
hep-th/0501205
|
Seiji Sakoda
|
Seiji Sakoda
|
Euclidean Path Integral of the Gauge Field -- Holomorphic Representation
|
39 pages
| null | null | null |
hep-th
| null |
Basing on the canonical quantization of a BRS invariant Lagrangian, we
construct holomorphic representation of path integrals for Faddeev-Popov(FP)
ghosts as well as for unphysical degrees of the gauge field from covariant
operator formalism. A thorough investigation of a simple soluble gauge model
with finite degrees will explain the metric structure of the Fock space and
constructions of path integrals for quantized gauge fields with FP ghosts. We
define fermionic coherent states even for a Fock space equipped with indefinite
metric to obtain path integral representations of a generating functional and
an effective action. The same technique will also be developed for path
integrals of unphysical degrees in the gauge field to find complete
correspondence, that insures cancellation of FP determinant, between FP ghosts
and unphysical components of the gauge field. As a byproduct, we obtain an
explicit form of Kugo-Ojima projection, $P^{(n)}$, to the subspace with
$n$-unphysical particles in terms of creation and annihilation operators for
the abelian gauge theory.
|
[
{
"created": "Wed, 26 Jan 2005 08:08:10 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Sakoda",
"Seiji",
""
]
] |
Basing on the canonical quantization of a BRS invariant Lagrangian, we construct holomorphic representation of path integrals for Faddeev-Popov(FP) ghosts as well as for unphysical degrees of the gauge field from covariant operator formalism. A thorough investigation of a simple soluble gauge model with finite degrees will explain the metric structure of the Fock space and constructions of path integrals for quantized gauge fields with FP ghosts. We define fermionic coherent states even for a Fock space equipped with indefinite metric to obtain path integral representations of a generating functional and an effective action. The same technique will also be developed for path integrals of unphysical degrees in the gauge field to find complete correspondence, that insures cancellation of FP determinant, between FP ghosts and unphysical components of the gauge field. As a byproduct, we obtain an explicit form of Kugo-Ojima projection, $P^{(n)}$, to the subspace with $n$-unphysical particles in terms of creation and annihilation operators for the abelian gauge theory.
| 12.030202
| 11.662938
| 12.414533
| 11.085127
| 11.318476
| 11.678102
| 12.530389
| 11.607493
| 11.218735
| 13.444346
| 11.531317
| 11.215903
| 11.344774
| 11.121007
| 11.104548
| 11.032491
| 10.59752
| 10.592191
| 10.795449
| 11.644326
| 11.151552
|
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