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2.01k
| perplexity_Llama-3.1-8B
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431
| perplexity_s4-L-3.1-8B-base
float64 2.88
422
| perplexity_s5-L-3.1-8B-base
float64 2.95
414
| perplexity_s6-L-3.1-8B-base
float64 2.99
340
| perplexity_s7-L-3.1-8B-base
float64 2.91
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float64 2.89
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| perplexity_s9-L-3.1-8B-base
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float64 2.92
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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9610076
|
Joseph A. Minahan
|
Joseph A. Minahan and Dennis Nemeschansky
|
Superconformal Fixed Points with E_n Global Symmetry
|
23 pages, harvmac (b), Mathematica file available at
http://physics.usc.edu/~minahan/Math/e8.ma
|
Nucl.Phys. B489 (1997) 24-46
|
10.1016/S0550-3213(97)00039-4
|
USC-96/23
|
hep-th
| null |
We obtain the elliptic curve and the Seiberg-Witten differential for an $N=2$
superconformal field theory which has an $E_8$ global symmetry at the strong
coupling point $\tau=e^{\pi i/3}$. The differential has 120 poles corresponding
to half the charged states in the fundamental representation of $E_8$, with the
other half living on the other sheet. Using this theory, we flow down to $E_7$,
$E_6$ and $D_4$. A new feature is a $\lambda_{SW}$ for these theories based on
their adjoint representations. We argue that these theories have different
physics than those with $\lambda_{SW}$ built from the fundamental
representations.
|
[
{
"created": "Thu, 10 Oct 1996 20:47:54 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Minahan",
"Joseph A.",
""
],
[
"Nemeschansky",
"Dennis",
""
]
] |
We obtain the elliptic curve and the Seiberg-Witten differential for an $N=2$ superconformal field theory which has an $E_8$ global symmetry at the strong coupling point $\tau=e^{\pi i/3}$. The differential has 120 poles corresponding to half the charged states in the fundamental representation of $E_8$, with the other half living on the other sheet. Using this theory, we flow down to $E_7$, $E_6$ and $D_4$. A new feature is a $\lambda_{SW}$ for these theories based on their adjoint representations. We argue that these theories have different physics than those with $\lambda_{SW}$ built from the fundamental representations.
| 8.268167
| 7.279954
| 8.964299
| 7.706451
| 8.972247
| 6.971159
| 7.842453
| 7.414679
| 7.199699
| 9.376898
| 7.638866
| 7.619598
| 8.27332
| 7.715945
| 7.848476
| 7.777519
| 8.051957
| 7.811074
| 7.841481
| 8.037295
| 7.526601
|
1504.00206
|
Samuel Abreu
|
Samuel Abreu, Ruth Britto, Hanna Gr\"onqvist
|
Cuts and coproducts of massive triangle diagrams
|
60 pages
| null | null | null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Relations between multiple unitarity cuts and coproducts of Feynman integrals
are extended to allow for internal masses. These masses introduce new branch
cuts, whose discontinuities can be derived by placing single propagators on
shell and identified as particular entries of the coproduct. First entries of
the coproduct are then seen to include mass invariants alone, as well as
threshold corrections for external momentum channels. As in the massless case,
the original integral can possibly be recovered from its cuts by starting with
the known part of the coproduct and imposing integrability contraints. We
formulate precise rules for cuts of diagrams, and we gather evidence for the
relations to coproducts through a detailed study of one-loop triangle integrals
with various combinations of external and internal masses.
|
[
{
"created": "Wed, 1 Apr 2015 12:50:28 GMT",
"version": "v1"
}
] |
2015-04-02
|
[
[
"Abreu",
"Samuel",
""
],
[
"Britto",
"Ruth",
""
],
[
"Grönqvist",
"Hanna",
""
]
] |
Relations between multiple unitarity cuts and coproducts of Feynman integrals are extended to allow for internal masses. These masses introduce new branch cuts, whose discontinuities can be derived by placing single propagators on shell and identified as particular entries of the coproduct. First entries of the coproduct are then seen to include mass invariants alone, as well as threshold corrections for external momentum channels. As in the massless case, the original integral can possibly be recovered from its cuts by starting with the known part of the coproduct and imposing integrability contraints. We formulate precise rules for cuts of diagrams, and we gather evidence for the relations to coproducts through a detailed study of one-loop triangle integrals with various combinations of external and internal masses.
| 16.010963
| 15.122409
| 15.859893
| 14.84746
| 16.275066
| 14.867505
| 15.788184
| 14.880633
| 15.076298
| 18.438461
| 15.288251
| 15.555089
| 15.342178
| 14.998825
| 15.192669
| 14.932216
| 14.854906
| 14.756635
| 14.838428
| 15.527454
| 14.822984
|
2308.08199
|
Lance Dixon
|
Lance J. Dixon and Yu-Ting Liu
|
An Eight Loop Amplitude via Antipodal Duality
|
50 pages, 3 figures, 6 tables, 8 loops
| null | null |
SLAC-PUB-17693
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the six-particle maximally-helicity-violating (MHV) amplitude in
planar ${\cal N}=4$ super-Yang-Mills theory at eight loops, using antipodal
duality and the recently computed eight-loop three-point form factor for the
chiral stress energy tensor multiplet. Antipodal duality maps the form factor
symbol to the amplitude symbol on a two-dimensional parity-preserving surface
in the three-dimensional amplitude kinematics. There are remarkably few
ambiguities in lifting from two to three dimensions, nor in promoting the
symbol to a function. The amplitude passes many tests, including
near-collinear, multi-Regge, factorization, self-crossing and origin limits.
These checks also constitute a validation of antipodal duality at eight loops.
|
[
{
"created": "Wed, 16 Aug 2023 07:58:24 GMT",
"version": "v1"
}
] |
2023-08-17
|
[
[
"Dixon",
"Lance J.",
""
],
[
"Liu",
"Yu-Ting",
""
]
] |
We compute the six-particle maximally-helicity-violating (MHV) amplitude in planar ${\cal N}=4$ super-Yang-Mills theory at eight loops, using antipodal duality and the recently computed eight-loop three-point form factor for the chiral stress energy tensor multiplet. Antipodal duality maps the form factor symbol to the amplitude symbol on a two-dimensional parity-preserving surface in the three-dimensional amplitude kinematics. There are remarkably few ambiguities in lifting from two to three dimensions, nor in promoting the symbol to a function. The amplitude passes many tests, including near-collinear, multi-Regge, factorization, self-crossing and origin limits. These checks also constitute a validation of antipodal duality at eight loops.
| 8.643946
| 7.520315
| 9.766406
| 7.859738
| 7.447501
| 7.878252
| 8.282278
| 7.187491
| 7.827569
| 11.469902
| 7.631539
| 7.97269
| 8.529831
| 8.050076
| 8.346666
| 8.126539
| 8.37972
| 8.254707
| 7.642336
| 8.555203
| 7.991102
|
1703.08186
|
Christoph Uhlemann
|
Eric D'Hoker, Michael Gutperle, Christoph F. Uhlemann
|
Warped $AdS_6\times S^2$ in Type IIB supergravity II: Global solutions
and five-brane webs
|
58 pages, 9 figures; v2: minor corrections; v3: integration constant
c_6 fixed
| null |
10.1007/JHEP05(2017)131
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Motivated by the construction of holographic duals to five-dimensional
superconformal quantum field theories, we obtain global solutions to Type IIB
supergravity invariant under the superalgebra $F(4)$ on a space-time of the
form $AdS_6 \times S^2$ warped over a two-dimensional Riemann surface $\Sigma$.
In earlier work, the general local solutions were expressed in terms of two
locally holomorphic functions $\mathcal A_\pm$ on $\Sigma$ and global solutions
were sketched when $\Sigma$ is a disk. In the present paper, the physical
regularity conditions on the supergravity fields required for global solutions
are implemented on $\mathcal A_\pm$ for arbitrary $\Sigma$. Global solutions
exist only when $\Sigma$ has a non-empty boundary $\partial \Sigma$. The
differentials $\partial \mathcal A_\pm$ are allowed to have poles only on
$\partial \Sigma$ and each pole corresponds to a semi-infinite $(p,q)$
five-brane. The construction for the disk is carried out in detail and the
conditions for the existence of global solutions are articulated for surfaces
with more than one boundary and higher genus.
|
[
{
"created": "Thu, 23 Mar 2017 18:00:10 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Apr 2017 16:44:59 GMT",
"version": "v2"
},
{
"created": "Mon, 12 Feb 2018 17:39:49 GMT",
"version": "v3"
}
] |
2018-02-13
|
[
[
"D'Hoker",
"Eric",
""
],
[
"Gutperle",
"Michael",
""
],
[
"Uhlemann",
"Christoph F.",
""
]
] |
Motivated by the construction of holographic duals to five-dimensional superconformal quantum field theories, we obtain global solutions to Type IIB supergravity invariant under the superalgebra $F(4)$ on a space-time of the form $AdS_6 \times S^2$ warped over a two-dimensional Riemann surface $\Sigma$. In earlier work, the general local solutions were expressed in terms of two locally holomorphic functions $\mathcal A_\pm$ on $\Sigma$ and global solutions were sketched when $\Sigma$ is a disk. In the present paper, the physical regularity conditions on the supergravity fields required for global solutions are implemented on $\mathcal A_\pm$ for arbitrary $\Sigma$. Global solutions exist only when $\Sigma$ has a non-empty boundary $\partial \Sigma$. The differentials $\partial \mathcal A_\pm$ are allowed to have poles only on $\partial \Sigma$ and each pole corresponds to a semi-infinite $(p,q)$ five-brane. The construction for the disk is carried out in detail and the conditions for the existence of global solutions are articulated for surfaces with more than one boundary and higher genus.
| 5.872914
| 5.253062
| 6.475163
| 5.255138
| 5.73243
| 5.929187
| 5.633525
| 5.511832
| 5.207993
| 6.510838
| 5.572482
| 5.664567
| 6.014654
| 5.574769
| 5.906208
| 5.809133
| 5.696252
| 5.583955
| 5.708549
| 6.069183
| 5.639496
|
hep-th/0604200
|
Fabricio Augusto Barone Rangel
|
R.M. Cavalcanti, C. Farina, F.A. Barone
|
Radiative Corrections to Casimir Effect in the $\lambda\phi^{4}$ Model
|
24 latex pages
| null | null | null |
hep-th
| null |
We calculate radiative corrections to the Casimir effect for the massive
complex scalar field with the $\lambda\phi^{4}$ self-interaction in $d+1$
dimensions. We consider the field submitted to four types of boundary
conditions on two parallel planes, namely: (i) quasi-periodic boundary
conditions, which interpolates continuously periodic and anti-periodic ones,
(ii) Dirichlet conditions on both planes, (iii) Neumann conditions on both
planes and (iv) mixed conditions, that is, Dirichlet on one plane and Neumann
on the other one.
|
[
{
"created": "Thu, 27 Apr 2006 04:37:17 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Cavalcanti",
"R. M.",
""
],
[
"Farina",
"C.",
""
],
[
"Barone",
"F. A.",
""
]
] |
We calculate radiative corrections to the Casimir effect for the massive complex scalar field with the $\lambda\phi^{4}$ self-interaction in $d+1$ dimensions. We consider the field submitted to four types of boundary conditions on two parallel planes, namely: (i) quasi-periodic boundary conditions, which interpolates continuously periodic and anti-periodic ones, (ii) Dirichlet conditions on both planes, (iii) Neumann conditions on both planes and (iv) mixed conditions, that is, Dirichlet on one plane and Neumann on the other one.
| 4.860985
| 3.995237
| 4.984692
| 4.112294
| 4.081766
| 4.167326
| 4.211424
| 4.281567
| 4.064593
| 5.344988
| 4.056956
| 4.357377
| 4.63547
| 4.477047
| 4.457204
| 4.532069
| 4.510271
| 4.402569
| 4.451294
| 4.806309
| 4.36914
|
1711.09913
|
Yuya Kusuki
|
Yuya Kusuki, Tadashi Takayanagi
|
Renyi Entropy for Local Quenches in 2D CFTs from Numerical Conformal
Blocks
|
24 pages, 8 figures
| null |
10.1007/JHEP01(2018)115
|
YITP-17-126, IPMU17-0163
|
hep-th cond-mat.stat-mech cond-mat.str-el quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the time evolution of Renyi entanglement entropy for locally excited
states in two dimensional large central charge CFTs. It generically shows a
logarithmical growth and we compute the coefficient of $\log t$ term. Our
analysis covers the entire parameter regions with respect to the replica number
$n$ and the conformal dimension $h_O$ of the primary operator which creates the
excitation. We numerically analyse relevant vacuum conformal blocks by using
Zamolodchikov's recursion relation. We find that the behavior of the conformal
blocks in two dimensional CFTs with a central charge $c$, drastically changes
when the dimensions of external primary states reach the value $c/32$. In
particular, when $h_O\geq c/32$ and $n\geq 2$, we find a new universal formula
$\Delta S^{(n)}_A\simeq \frac{nc}{24(n-1)}\log t$. Our numerical results also
confirm existing analytical results using the HHLL approximation.
|
[
{
"created": "Mon, 27 Nov 2017 19:00:04 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Dec 2017 12:22:21 GMT",
"version": "v2"
},
{
"created": "Mon, 15 Jan 2018 04:29:46 GMT",
"version": "v3"
}
] |
2018-03-14
|
[
[
"Kusuki",
"Yuya",
""
],
[
"Takayanagi",
"Tadashi",
""
]
] |
We study the time evolution of Renyi entanglement entropy for locally excited states in two dimensional large central charge CFTs. It generically shows a logarithmical growth and we compute the coefficient of $\log t$ term. Our analysis covers the entire parameter regions with respect to the replica number $n$ and the conformal dimension $h_O$ of the primary operator which creates the excitation. We numerically analyse relevant vacuum conformal blocks by using Zamolodchikov's recursion relation. We find that the behavior of the conformal blocks in two dimensional CFTs with a central charge $c$, drastically changes when the dimensions of external primary states reach the value $c/32$. In particular, when $h_O\geq c/32$ and $n\geq 2$, we find a new universal formula $\Delta S^{(n)}_A\simeq \frac{nc}{24(n-1)}\log t$. Our numerical results also confirm existing analytical results using the HHLL approximation.
| 7.651137
| 7.332397
| 8.383796
| 6.970672
| 7.784748
| 7.82222
| 7.573278
| 7.317955
| 7.611623
| 8.74339
| 7.360428
| 7.357103
| 7.464139
| 7.234399
| 7.485955
| 7.4461
| 7.518231
| 7.390215
| 7.722606
| 7.666615
| 7.225854
|
2007.09224
|
Giorgio Torrieri
|
Giorgio Torrieri
|
Fluctuating Relativistic hydrodynamics from Crooks theorem
|
Small typos fixed in accordance to proofs
| null |
10.1007/JHEP02(2021)175
| null |
hep-th hep-lat hep-ph nucl-th physics.flu-dyn
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use the Crooks fluctuation theorem together with Zubarev hydrodynamics to
develop a bottom-up theory of hydrodynamic fluctuations. We also use
thermodynamic uncertainity relations to estimate bottom-up limits to
dissipative transport coefficients.
|
[
{
"created": "Fri, 17 Jul 2020 20:56:44 GMT",
"version": "v1"
},
{
"created": "Sat, 16 Jan 2021 01:38:06 GMT",
"version": "v2"
},
{
"created": "Sat, 20 Feb 2021 01:40:18 GMT",
"version": "v3"
}
] |
2021-03-17
|
[
[
"Torrieri",
"Giorgio",
""
]
] |
We use the Crooks fluctuation theorem together with Zubarev hydrodynamics to develop a bottom-up theory of hydrodynamic fluctuations. We also use thermodynamic uncertainity relations to estimate bottom-up limits to dissipative transport coefficients.
| 20.329054
| 24.128874
| 20.781414
| 17.935183
| 19.356594
| 20.585489
| 20.974718
| 18.975042
| 19.39184
| 22.478785
| 18.168104
| 17.954033
| 19.642784
| 18.725096
| 19.084238
| 17.506132
| 16.603207
| 20.170122
| 17.556231
| 18.230999
| 18.342957
|
hep-th/0405239
|
John F. Donoghue
|
Barry R. Holstein and John F. Donoghue
|
Classical Physics and Quantum Loops
|
15 pages, 3 figures
|
Phys.Rev.Lett. 93 (2004) 201602
|
10.1103/PhysRevLett.93.201602
| null |
hep-th hep-ph nucl-th
| null |
The standard picture of the loop expansion associates a factor of h-bar with
each loop, suggesting that the tree diagrams are to be associated with
classical physics, while loop effects are quantum mechanical in nature. We
discuss examples wherein classical effects arise from loop contributions and
display the relationship between the classical terms and the long range effects
of massless particles.
|
[
{
"created": "Wed, 26 May 2004 15:26:41 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Holstein",
"Barry R.",
""
],
[
"Donoghue",
"John F.",
""
]
] |
The standard picture of the loop expansion associates a factor of h-bar with each loop, suggesting that the tree diagrams are to be associated with classical physics, while loop effects are quantum mechanical in nature. We discuss examples wherein classical effects arise from loop contributions and display the relationship between the classical terms and the long range effects of massless particles.
| 20.68379
| 17.150984
| 15.392143
| 15.055116
| 14.991537
| 13.287275
| 14.456792
| 17.122873
| 15.512409
| 15.66849
| 16.608025
| 16.250456
| 15.157242
| 15.312675
| 15.218366
| 15.922418
| 15.250703
| 15.587446
| 15.579073
| 15.947181
| 16.188873
|
hep-th/9501113
| null |
I. Bandos, P. Pasti, D. Sorokin, M. Tonin and D. Volkov
|
SUPERSTRINGS AND SUPERMEMBRANES IN THE DOUBLY SUPERSYMMETRIC GEOMETRICAL
APPROACH
|
45 pages, LaTeX, 3 appendicies
|
Nucl.Phys.B446:79-118,1995
|
10.1016/0550-3213(95)00267-V
|
DFPD 95/TH/02
|
hep-th
| null |
We perform a generalization of the geometrical approach to describing
extended objects for studying the doubly supersymmetric twistor--like
formulation of super--p--branes. Some basic features of embedding world
supersurface into target superspace specified by a geometrodynamical condition
are considered. It is shown that the main attributes of the geometrical
approach, such as the second fundamental form and extrinsic torsion of the
embedded surface, and the Codazzi, Gauss and Ricci equations, have their doubly
supersymmetric counterparts. At the same time the embedding of supersurface
into target superspace has its particular features. For instance, the embedding
may cause more rigid restrictions on the geometrical properties of the
supersurface. This is demonstrated with the examples of an N=1 twistor--like
supermembrane in D=11 and type II superstrings in D=10, where the
geometrodynamical condition causes the embedded supersurface to be minimal and
puts the theories on the mass shell.
|
[
{
"created": "Tue, 24 Jan 1995 15:36:39 GMT",
"version": "v1"
}
] |
2011-07-19
|
[
[
"Bandos",
"I.",
""
],
[
"Pasti",
"P.",
""
],
[
"Sorokin",
"D.",
""
],
[
"Tonin",
"M.",
""
],
[
"Volkov",
"D.",
""
]
] |
We perform a generalization of the geometrical approach to describing extended objects for studying the doubly supersymmetric twistor--like formulation of super--p--branes. Some basic features of embedding world supersurface into target superspace specified by a geometrodynamical condition are considered. It is shown that the main attributes of the geometrical approach, such as the second fundamental form and extrinsic torsion of the embedded surface, and the Codazzi, Gauss and Ricci equations, have their doubly supersymmetric counterparts. At the same time the embedding of supersurface into target superspace has its particular features. For instance, the embedding may cause more rigid restrictions on the geometrical properties of the supersurface. This is demonstrated with the examples of an N=1 twistor--like supermembrane in D=11 and type II superstrings in D=10, where the geometrodynamical condition causes the embedded supersurface to be minimal and puts the theories on the mass shell.
| 10.519731
| 10.449175
| 12.473321
| 9.598645
| 10.130147
| 10.045034
| 11.187007
| 9.607202
| 9.582066
| 13.483104
| 10.094929
| 9.892431
| 10.989268
| 10.133784
| 9.964967
| 9.857422
| 9.815961
| 10.171322
| 9.931622
| 10.486574
| 10.158983
|
hep-th/9712186
|
Volker Schomerus
|
A. Recknagel and V. Schomerus
|
D-branes in Gepner models
|
40 pages, some corrections, references added
|
Nucl.Phys. B531 (1998) 185-225
|
10.1016/S0550-3213(98)00468-4
|
IHES/P/97/91, DESY 97-253
|
hep-th
| null |
We discuss D-branes from a conformal field theory point of view. In this
approach, branes are described by boundary states providing sources for closed
string modes, independently of classical notions. The boundary states must
satisfy constraints which fall into two classes: The first consists of gluing
conditions between left- and right-moving Virasoro or further symmetry
generators, whereas the second encompasses non-linear consistency conditions
from world sheet duality, which severely restrict the allowed boundary states.
We exploit these conditions to give explicit formulas for boundary states in
Gepner models, thereby computing excitation spectra of brane configurations.
From the boundary states, brane tensions and RR charges can also be read off
directly.
|
[
{
"created": "Thu, 18 Dec 1997 16:59:58 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Feb 1998 20:23:32 GMT",
"version": "v2"
}
] |
2016-09-06
|
[
[
"Recknagel",
"A.",
""
],
[
"Schomerus",
"V.",
""
]
] |
We discuss D-branes from a conformal field theory point of view. In this approach, branes are described by boundary states providing sources for closed string modes, independently of classical notions. The boundary states must satisfy constraints which fall into two classes: The first consists of gluing conditions between left- and right-moving Virasoro or further symmetry generators, whereas the second encompasses non-linear consistency conditions from world sheet duality, which severely restrict the allowed boundary states. We exploit these conditions to give explicit formulas for boundary states in Gepner models, thereby computing excitation spectra of brane configurations. From the boundary states, brane tensions and RR charges can also be read off directly.
| 12.472708
| 11.671322
| 14.664933
| 11.856297
| 12.42684
| 11.756612
| 12.604692
| 11.968813
| 11.836388
| 15.654847
| 11.452998
| 11.545899
| 12.406285
| 11.643076
| 11.848357
| 11.385017
| 11.475652
| 11.600693
| 11.495231
| 12.390079
| 11.523072
|
2208.14032
|
So Matsuura
|
So Matsuura and Kazutoshi Ohta
|
Graph Zeta Functions and Wilson Loops in Kazakov-Migdal Model
|
32 pages, 3 figures, typos corrected
| null | null | null |
hep-th hep-lat math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
In this paper, we consider an extended Kazakov-Migdal model defined on an
arbitrary graph. The partition function of the model, which is expressed as the
summation of all Wilson loops on the graph, turns out to be represented by the
Bartholdi zeta function weighted by unitary matrices on the edges of the graph.
The partition function on the cycle graph at finite $N$ is expressed by the
generating function of the generalized Catalan numbers. The partition function
on an arbitrary graph can be exactly evaluated at large $N$ which is expressed
as an infinite product of a kind of deformed Ihara zeta function. The non-zero
area Wilson loops do not contribute to the leading part of the $1/N$-expansion
of the free energy but to the next leading. The semi-circle distribution of the
eigenvalues of the scalar fields is still an exact solution of the model at
large $N$ on an arbitrary regular graph, but it reflects only zero-area Wilson
loops.
|
[
{
"created": "Tue, 30 Aug 2022 07:27:15 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Sep 2022 07:05:26 GMT",
"version": "v2"
},
{
"created": "Tue, 1 Nov 2022 01:05:47 GMT",
"version": "v3"
}
] |
2022-11-02
|
[
[
"Matsuura",
"So",
""
],
[
"Ohta",
"Kazutoshi",
""
]
] |
In this paper, we consider an extended Kazakov-Migdal model defined on an arbitrary graph. The partition function of the model, which is expressed as the summation of all Wilson loops on the graph, turns out to be represented by the Bartholdi zeta function weighted by unitary matrices on the edges of the graph. The partition function on the cycle graph at finite $N$ is expressed by the generating function of the generalized Catalan numbers. The partition function on an arbitrary graph can be exactly evaluated at large $N$ which is expressed as an infinite product of a kind of deformed Ihara zeta function. The non-zero area Wilson loops do not contribute to the leading part of the $1/N$-expansion of the free energy but to the next leading. The semi-circle distribution of the eigenvalues of the scalar fields is still an exact solution of the model at large $N$ on an arbitrary regular graph, but it reflects only zero-area Wilson loops.
| 7.961257
| 7.673857
| 8.870475
| 7.751505
| 7.748385
| 7.943188
| 7.624984
| 7.546016
| 7.623361
| 9.533012
| 7.663856
| 7.459534
| 7.990671
| 7.349174
| 7.418537
| 7.566155
| 7.479153
| 7.454586
| 7.358677
| 8.002927
| 7.469457
|
2209.10454
|
Venkatesa Chandrasekaran
|
Venkatesa Chandrasekaran, Geoff Penington, Edward Witten
|
Large N algebras and generalized entropy
|
57 pages + appendices
| null |
10.1007/JHEP04(2023)009
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct a Type II$_\infty$ von Neumann algebra that describes the large
$N$ physics of single-trace operators in AdS/CFT in the microcanonical
ensemble, where there is no need to include perturbative $1/N$ corrections.
Using only the extrapolate dictionary, we show that the entropy of
semiclassical states on this algebra is holographically dual to the generalized
entropy of the black hole bifurcation surface. From a boundary perspective,
this constitutes a derivation of a special case of the QES prescription without
any use of Euclidean gravity or replicas; from a purely bulk perspective, it is
a derivation of the quantum-corrected Bekenstein-Hawking formula as the entropy
of an explicit algebra in the $G \to 0$ limit of Lorentzian effective field
theory quantum gravity. In a limit where a black hole is first allowed to
equilibrate and then is later potentially re-excited, we show that the
generalized second law is a direct consequence of the monotonicity of the
entropy of algebras under trace-preserving inclusions. Finally, by considering
excitations that are separated by more than a scrambling time we construct a
"free product" von Neumann algebra that describes the semiclassical physics of
long wormholes supported by shocks. We compute R\'{e}nyi entropies for this
algebra and show that they are equal to a sum over saddles associated to
quantum extremal surfaces in the wormhole. Surprisingly, however, the saddles
associated to "bulge" quantum extremal surfaces contribute with a negative
sign.
|
[
{
"created": "Wed, 21 Sep 2022 15:58:21 GMT",
"version": "v1"
}
] |
2023-04-19
|
[
[
"Chandrasekaran",
"Venkatesa",
""
],
[
"Penington",
"Geoff",
""
],
[
"Witten",
"Edward",
""
]
] |
We construct a Type II$_\infty$ von Neumann algebra that describes the large $N$ physics of single-trace operators in AdS/CFT in the microcanonical ensemble, where there is no need to include perturbative $1/N$ corrections. Using only the extrapolate dictionary, we show that the entropy of semiclassical states on this algebra is holographically dual to the generalized entropy of the black hole bifurcation surface. From a boundary perspective, this constitutes a derivation of a special case of the QES prescription without any use of Euclidean gravity or replicas; from a purely bulk perspective, it is a derivation of the quantum-corrected Bekenstein-Hawking formula as the entropy of an explicit algebra in the $G \to 0$ limit of Lorentzian effective field theory quantum gravity. In a limit where a black hole is first allowed to equilibrate and then is later potentially re-excited, we show that the generalized second law is a direct consequence of the monotonicity of the entropy of algebras under trace-preserving inclusions. Finally, by considering excitations that are separated by more than a scrambling time we construct a "free product" von Neumann algebra that describes the semiclassical physics of long wormholes supported by shocks. We compute R\'{e}nyi entropies for this algebra and show that they are equal to a sum over saddles associated to quantum extremal surfaces in the wormhole. Surprisingly, however, the saddles associated to "bulge" quantum extremal surfaces contribute with a negative sign.
| 9.238843
| 9.560656
| 10.83128
| 8.888592
| 9.437262
| 9.01238
| 9.151297
| 9.624771
| 8.828795
| 12.005815
| 8.610963
| 8.973448
| 9.956497
| 9.035555
| 9.02506
| 9.02339
| 9.026482
| 9.392861
| 9.150982
| 9.978936
| 9.253555
|
hep-th/9604156
| null |
Gilad Lifschytz (Brandeis University)
|
Comparing D-branes to Black-branes
|
14 pages, Latex, final version to appear in Phys. Lett. B
|
Phys.Lett. B388 (1996) 720-726
|
10.1016/S0370-2693(96)01218-X
|
BRX-TH-394
|
hep-th
| null |
We calculate the potential between two different stationary D-branes and the
velocity dependent potential between two different moving D-branes. We identify
configurations with some unbroken supersymmetry, using a zero force condition.
The potentials are compared with an eleven dimensional calculation of the
scattering of a zero black-brane from the $0,2,4$ and 6 black-brane of type IIA
supergravity. The agreement of these calculations provide further evidence for
the D-brane description of black-branes, and for the eleven dimensional origin
of type IIA string theory.
|
[
{
"created": "Wed, 24 Apr 1996 17:15:54 GMT",
"version": "v1"
},
{
"created": "Tue, 7 May 1996 16:18:06 GMT",
"version": "v2"
},
{
"created": "Fri, 11 Oct 1996 18:10:43 GMT",
"version": "v3"
}
] |
2016-09-06
|
[
[
"Lifschytz",
"Gilad",
"",
"Brandeis University"
]
] |
We calculate the potential between two different stationary D-branes and the velocity dependent potential between two different moving D-branes. We identify configurations with some unbroken supersymmetry, using a zero force condition. The potentials are compared with an eleven dimensional calculation of the scattering of a zero black-brane from the $0,2,4$ and 6 black-brane of type IIA supergravity. The agreement of these calculations provide further evidence for the D-brane description of black-branes, and for the eleven dimensional origin of type IIA string theory.
| 11.979156
| 10.087182
| 12.69739
| 10.899364
| 11.484432
| 10.105838
| 11.011995
| 10.618851
| 10.568146
| 14.344626
| 10.735568
| 11.296734
| 11.828675
| 11.452708
| 12.192144
| 11.049514
| 11.167175
| 11.204372
| 11.75682
| 11.743698
| 11.268784
|
1003.0795
|
Takahisa Igata
|
Takahisa Igata and Hideki Ishihara
|
Toroidal Spiral Strings in Higher-dimensional Spacetime
|
4 pages, 2 figures. Proceedings of 19th Workshop in General
Relativity and Gravitation in Japan (JGRG19)
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We report on our progress in research of separability of the Nambu-Goto
equation for test strings with a symmetric configuration in a shape of toroidal
spiral in a five-dimensional Kerr-AdS black hole. In particular, for a Hopf
loop string which is a special class of the toroidal spirals, we show the
complete separation of variables occurs in two cases, Kerr background and
Kerr-AdS background with equal angular momenta. We also obtain the dynamical
solution for the Hopf loop around a black hole and for the general toroidal
spiral in Minkowski background.
|
[
{
"created": "Wed, 3 Mar 2010 13:19:29 GMT",
"version": "v1"
}
] |
2010-03-04
|
[
[
"Igata",
"Takahisa",
""
],
[
"Ishihara",
"Hideki",
""
]
] |
We report on our progress in research of separability of the Nambu-Goto equation for test strings with a symmetric configuration in a shape of toroidal spiral in a five-dimensional Kerr-AdS black hole. In particular, for a Hopf loop string which is a special class of the toroidal spirals, we show the complete separation of variables occurs in two cases, Kerr background and Kerr-AdS background with equal angular momenta. We also obtain the dynamical solution for the Hopf loop around a black hole and for the general toroidal spiral in Minkowski background.
| 13.006858
| 10.468768
| 11.876142
| 10.130673
| 10.425155
| 10.347452
| 10.721809
| 10.484021
| 10.989703
| 13.463226
| 9.864573
| 10.793131
| 11.674405
| 10.749012
| 10.555847
| 10.888607
| 10.338491
| 10.845843
| 10.609599
| 11.570091
| 11.032485
|
0902.1552
|
Carlos Mafra
|
Carlos R. Mafra
|
Superstring Scattering Amplitudes with the Pure Spinor Formalism
|
Ph.D Thesis from Sept. 2008, 108 pages, v2,v3: added references
| null | null |
IFT-T.007/08
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This thesis discusses how the pure spinor formalism can be used to
efficiently compute superstring scattering amplitudes. We emphasize the pure
spinor superspace form of the kinematic factors, where the simplifying features
of this language have allowed an explicit relation among the massless
four-point amplitudes at tree-level, one- and two-loops to be found. We show
how these identities elegantly simplify the task of computing the amplitudes
for all possible external state combination related by supersymmetry. In
particular, the two-loop amplitudes involving fermionic states had never been
computed before.
By explicit calculation we show that the one- and two-loop amplitudes
computed with the minimal and non-minimal formalisms are equivalent.
Furthermore we compute the gauge variation of the massless six-point open
string amplitude and obtain the kinematic factor related to the anomaly
cancellation. We also discuss some preliminary results regarding the massless
five-point amplitude at one-loop.
|
[
{
"created": "Tue, 10 Feb 2009 19:18:24 GMT",
"version": "v1"
},
{
"created": "Sun, 15 Feb 2009 19:22:08 GMT",
"version": "v2"
},
{
"created": "Thu, 26 Mar 2009 16:16:13 GMT",
"version": "v3"
}
] |
2009-03-26
|
[
[
"Mafra",
"Carlos R.",
""
]
] |
This thesis discusses how the pure spinor formalism can be used to efficiently compute superstring scattering amplitudes. We emphasize the pure spinor superspace form of the kinematic factors, where the simplifying features of this language have allowed an explicit relation among the massless four-point amplitudes at tree-level, one- and two-loops to be found. We show how these identities elegantly simplify the task of computing the amplitudes for all possible external state combination related by supersymmetry. In particular, the two-loop amplitudes involving fermionic states had never been computed before. By explicit calculation we show that the one- and two-loop amplitudes computed with the minimal and non-minimal formalisms are equivalent. Furthermore we compute the gauge variation of the massless six-point open string amplitude and obtain the kinematic factor related to the anomaly cancellation. We also discuss some preliminary results regarding the massless five-point amplitude at one-loop.
| 9.070177
| 8.529589
| 9.200944
| 8.647209
| 9.286092
| 9.509801
| 8.942528
| 8.759508
| 8.523515
| 9.57458
| 8.244579
| 8.732786
| 8.900558
| 8.72364
| 8.793671
| 8.816192
| 8.736326
| 8.806887
| 8.817419
| 8.966003
| 8.759414
|
hep-th/0603232
|
Olaf Lechtenfeld
|
Olaf Lechtenfeld, Alexander D. Popov, Richard J. Szabo
|
Rank Two Quiver Gauge Theory, Graded Connections and Noncommutative
Vortices
|
1+39 pages
|
JHEP 0609:054,2006
|
10.1088/1126-6708/2006/09/054
| null |
hep-th
| null |
We consider equivariant dimensional reduction of Yang-Mills theory on K"ahler
manifolds of the form M times CP^1 times CP^1. This induces a rank two quiver
gauge theory on M which can be formulated as a Yang-Mills theory of graded
connections on M. The reduction of the Yang-Mills equations on M times CP^1
times CP^1 induces quiver gauge theory equations on M and quiver vortex
equations in the BPS sector. When M is the noncommutative space R_theta^{2n}
both BPS and non-BPS solutions are obtained, and interpreted as states of
D-branes. Using the graded connection formalism, we assign D0-brane charges in
equivariant K-theory to the quiver vortex configurations. Some categorical
properties of these quiver brane configurations are also described in terms of
the corresponding quiver representations.
|
[
{
"created": "Wed, 29 Mar 2006 19:26:00 GMT",
"version": "v1"
}
] |
2010-02-03
|
[
[
"Lechtenfeld",
"Olaf",
""
],
[
"Popov",
"Alexander D.",
""
],
[
"Szabo",
"Richard J.",
""
]
] |
We consider equivariant dimensional reduction of Yang-Mills theory on K"ahler manifolds of the form M times CP^1 times CP^1. This induces a rank two quiver gauge theory on M which can be formulated as a Yang-Mills theory of graded connections on M. The reduction of the Yang-Mills equations on M times CP^1 times CP^1 induces quiver gauge theory equations on M and quiver vortex equations in the BPS sector. When M is the noncommutative space R_theta^{2n} both BPS and non-BPS solutions are obtained, and interpreted as states of D-branes. Using the graded connection formalism, we assign D0-brane charges in equivariant K-theory to the quiver vortex configurations. Some categorical properties of these quiver brane configurations are also described in terms of the corresponding quiver representations.
| 8.55125
| 8.146995
| 9.532078
| 7.681249
| 7.404383
| 7.553639
| 8.116521
| 7.254202
| 7.848693
| 11.082873
| 7.545937
| 7.954127
| 8.624145
| 8.118192
| 8.529386
| 8.34798
| 8.41862
| 8.340508
| 8.146536
| 9.023527
| 8.226106
|
hep-th/9209031
| null |
J.E.Nelson and T.Regge
|
Invariants of 2+1 Quantum Gravity
|
10 pages, plain TEX, no figures, DFTT 46/92
|
Commun.Math.Phys. 155 (1993) 561-568
|
10.1007/BF02096728
| null |
hep-th gr-qc
| null |
In [1,2] we established and discussed the algebra of observables for 2+1
gravity at both the classical and quantum level. Here our treatment broadens
and extends previous results to any genus $g$ with a systematic discussion of
the centre of the algebra. The reduction of the number of independent
observables to $6g-6 (g > 1)$ is treated in detail with a precise
classification for $g = 1$ and $g = 2$.
|
[
{
"created": "Thu, 10 Sep 1992 18:42:00 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Nelson",
"J. E.",
""
],
[
"Regge",
"T.",
""
]
] |
In [1,2] we established and discussed the algebra of observables for 2+1 gravity at both the classical and quantum level. Here our treatment broadens and extends previous results to any genus $g$ with a systematic discussion of the centre of the algebra. The reduction of the number of independent observables to $6g-6 (g > 1)$ is treated in detail with a precise classification for $g = 1$ and $g = 2$.
| 11.904146
| 10.778124
| 9.53863
| 10.098195
| 10.160459
| 10.957638
| 10.174237
| 9.012076
| 10.167686
| 11.287806
| 10.397534
| 10.277655
| 9.884698
| 9.558645
| 10.020334
| 9.57621
| 9.882215
| 9.702346
| 9.79599
| 10.168393
| 9.837672
|
0906.3898
|
V. Didenko
|
V.E. Didenko and M.A. Vasiliev
|
Static BPS black hole in 4d higher-spin gauge theory
|
16 pages, no figures, A section with the analysis of global
symmetries is added. It is shown that the obtained solution is static and
supersymmetric. The title is changed correspondingly. Clarifications and
references added. Typos related to reality conditions fixed
|
Phys.Lett.B682:305-315,2009
|
10.1016/j.physletb.2009.11.023
|
FIAN/TD/10-09
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We find exact spherically symmetric solution of 4d nonlinear bosonic
higher-spin gauge theory, that preserves a quarter of supersymmetries of N=2
supersymmetric 4d higher-spin gauge theory. In the weak field regime it
describes $AdS_4$ Schwarzschild black hole in the spin two sector along with
non-zero massless fields of all integer spins.
|
[
{
"created": "Sun, 21 Jun 2009 21:05:13 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Sep 2009 11:44:43 GMT",
"version": "v2"
},
{
"created": "Fri, 13 Dec 2013 21:57:17 GMT",
"version": "v3"
}
] |
2013-12-17
|
[
[
"Didenko",
"V. E.",
""
],
[
"Vasiliev",
"M. A.",
""
]
] |
We find exact spherically symmetric solution of 4d nonlinear bosonic higher-spin gauge theory, that preserves a quarter of supersymmetries of N=2 supersymmetric 4d higher-spin gauge theory. In the weak field regime it describes $AdS_4$ Schwarzschild black hole in the spin two sector along with non-zero massless fields of all integer spins.
| 12.621995
| 10.340404
| 12.587955
| 9.879136
| 10.638144
| 10.650073
| 9.863708
| 10.14832
| 8.801734
| 14.64049
| 8.853519
| 9.82337
| 11.092105
| 9.63083
| 9.514731
| 9.444751
| 9.275647
| 9.714831
| 9.565656
| 10.832767
| 8.920222
|
hep-th/9610055
|
Manfred Requardt
|
Manfred Requardt
|
Emergence of Space-Time on the Planck Scale described as an Unfolding
Phase Transition within the Scheme of Dynamical Cellular Networks and Random
Graphs
|
36 pages, Latex
| null | null |
Re-96-03
|
hep-th gr-qc
| null |
As in an earlier paper we start from the hypothesis that physics on the
Planck scale should be described by means of concepts taken from ``discrete
mathematics''. This goal is realized by developing a scheme being based on the
dynamical evolution of a particular class of ``cellular networks'' being
capable of performing an ``unfolding phase transition'' from a (presumed)
chaotic initial phase towards a new phase which acts as an ``attractor'' in
total phase space and which carries a fine or super structure which is
identified as the discrete substratum underlying ordinary continuous space-time
(or rather, the physical vacuum). Among other things we analyze the internal
structure of certain particular subclusters of nodes/bonds (maximal connected
subsimplices, $mss$) which are the fundamental building blocks of this new
phase and which are conjectured to correspond to the ``physical points'' of
ordinary space-time. Their mutual entanglement generates a certain near- and
far-order, viz. a causal structure within the network which is again set into
relation with the topological/metrical and causal/geometrical structure of
continuous space-time. The mathematical techniques to be employed consist
mainly of a blend of a fair amount of ``stochastic mathematics'' with several
relatively advanced topics of discrete mathematics like the ``theory of random
graphs'' or ``combinatorial graph theory''. Our working philosophy is it to
create a scenario in which it becomes possible to identify both gravity and
quantum theory as the two dominant but derived(!) aspects of an underlying
discrete and more primordial theory (dynamical cellular network) on a much
coarser level of resolution, viz. continuous space-time.
|
[
{
"created": "Wed, 9 Oct 1996 09:22:15 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Requardt",
"Manfred",
""
]
] |
As in an earlier paper we start from the hypothesis that physics on the Planck scale should be described by means of concepts taken from ``discrete mathematics''. This goal is realized by developing a scheme being based on the dynamical evolution of a particular class of ``cellular networks'' being capable of performing an ``unfolding phase transition'' from a (presumed) chaotic initial phase towards a new phase which acts as an ``attractor'' in total phase space and which carries a fine or super structure which is identified as the discrete substratum underlying ordinary continuous space-time (or rather, the physical vacuum). Among other things we analyze the internal structure of certain particular subclusters of nodes/bonds (maximal connected subsimplices, $mss$) which are the fundamental building blocks of this new phase and which are conjectured to correspond to the ``physical points'' of ordinary space-time. Their mutual entanglement generates a certain near- and far-order, viz. a causal structure within the network which is again set into relation with the topological/metrical and causal/geometrical structure of continuous space-time. The mathematical techniques to be employed consist mainly of a blend of a fair amount of ``stochastic mathematics'' with several relatively advanced topics of discrete mathematics like the ``theory of random graphs'' or ``combinatorial graph theory''. Our working philosophy is it to create a scenario in which it becomes possible to identify both gravity and quantum theory as the two dominant but derived(!) aspects of an underlying discrete and more primordial theory (dynamical cellular network) on a much coarser level of resolution, viz. continuous space-time.
| 16.724636
| 20.154936
| 17.114172
| 16.830132
| 18.443485
| 18.500391
| 19.706661
| 17.363716
| 16.701839
| 18.854675
| 17.717499
| 16.692242
| 16.642668
| 16.36231
| 16.64356
| 16.853397
| 16.781662
| 16.227903
| 16.292707
| 16.580887
| 16.564327
|
hep-th/9605227
|
Jan Ambjorn
|
J. Ambjorn, A. Sedrakyan
|
The measure in three dimensional Nambu-Goto string theory
|
8 pages, Latex
|
Phys.Lett. B386 (1996) 99-105
|
10.1016/0370-2693(96)00904-5
|
NBI-HE-96-21
|
hep-th
| null |
We show that the measure of the three dimensional Nambu-Goto string theory
has a simple decomposition as a measure on two parameter group of induced
area-preserving transformations of the immersed surface and a trivial measure
for the area of the surface.
|
[
{
"created": "Fri, 31 May 1996 14:02:22 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Ambjorn",
"J.",
""
],
[
"Sedrakyan",
"A.",
""
]
] |
We show that the measure of the three dimensional Nambu-Goto string theory has a simple decomposition as a measure on two parameter group of induced area-preserving transformations of the immersed surface and a trivial measure for the area of the surface.
| 22.018326
| 15.485161
| 19.838272
| 14.737009
| 17.615196
| 19.298317
| 14.803873
| 18.593649
| 13.999958
| 21.221479
| 14.995371
| 16.499018
| 18.509977
| 16.395296
| 16.096571
| 17.03826
| 16.635445
| 16.850525
| 15.788486
| 15.879548
| 16.476105
|
2112.11614
|
Edward Witten
|
Edward Witten
|
Why Does Quantum Field Theory In Curved Spacetime Make Sense? And What
Happens To The Algebra of Observables In The Thermodynamic Limit?
|
43 pp, minor corrections in v. 5
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This article aims to explain some of the basic facts about the questions
raised in the title, without the technical details that are available in the
literature. We provide a gentle introduction to some rather classical results
about quantum field theory in curved spacetime and about the thermodynamic
limit of quantum statistical mechanics. We also briefly explain that these
results have an analog in the large N limit of gauge theory.
|
[
{
"created": "Wed, 22 Dec 2021 01:39:20 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Jan 2022 23:24:44 GMT",
"version": "v2"
},
{
"created": "Wed, 2 Feb 2022 17:11:17 GMT",
"version": "v3"
},
{
"created": "Mon, 11 Jul 2022 19:35:07 GMT",
"version": "v4"
},
{
"created": "Fri, 22 Jul 2022 21:33:48 GMT",
"version": "v5"
}
] |
2022-07-26
|
[
[
"Witten",
"Edward",
""
]
] |
This article aims to explain some of the basic facts about the questions raised in the title, without the technical details that are available in the literature. We provide a gentle introduction to some rather classical results about quantum field theory in curved spacetime and about the thermodynamic limit of quantum statistical mechanics. We also briefly explain that these results have an analog in the large N limit of gauge theory.
| 11.054213
| 9.247007
| 9.751472
| 9.049113
| 8.987346
| 9.345645
| 9.331089
| 8.640031
| 9.420604
| 9.942728
| 9.598989
| 9.23804
| 10.240203
| 9.832252
| 9.523957
| 9.283032
| 9.359614
| 9.355838
| 9.57416
| 10.366416
| 9.445662
|
hep-th/9611029
|
George Papadopoulos
|
G. Papadopoulos
|
The Universality of M-branes
|
Many changes have been made in the text and some references have been
added. 8 pages, Latex, Talk at the Imperial College Workshop 5-10 July
| null |
10.1142/9781848160927_0025
|
DAMTP-R/52
|
hep-th
| null |
We review the evidence for the various dualities amongst the five D=10
superstring theories and for the existence of M-theory using the associated
effective supergravity theories. We also summarise the combinatorial technics
developed for constructing BPS solutions in D=11 supergravity theory and
conjecture that all the BPS solutions of D<11 supergravity theories can be
derived from the BPS solutions of D=11 supergravity that preserve 1/2 the
supersymmetry. To demonstrate this, we derive the dyonic p-brane solutions from
eleven dimensions.
|
[
{
"created": "Tue, 5 Nov 1996 20:02:20 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Jan 1997 18:53:12 GMT",
"version": "v2"
}
] |
2016-12-21
|
[
[
"Papadopoulos",
"G.",
""
]
] |
We review the evidence for the various dualities amongst the five D=10 superstring theories and for the existence of M-theory using the associated effective supergravity theories. We also summarise the combinatorial technics developed for constructing BPS solutions in D=11 supergravity theory and conjecture that all the BPS solutions of D<11 supergravity theories can be derived from the BPS solutions of D=11 supergravity that preserve 1/2 the supersymmetry. To demonstrate this, we derive the dyonic p-brane solutions from eleven dimensions.
| 8.858734
| 8.547655
| 8.830623
| 8.006856
| 8.234557
| 7.724817
| 8.096596
| 8.209543
| 8.489741
| 9.462309
| 7.945291
| 8.459124
| 9.121349
| 8.475845
| 8.606125
| 8.144382
| 8.663623
| 8.461003
| 8.351247
| 8.701375
| 7.82386
|
hep-th/0108185
|
Stefan Groot Nibbelink
|
S. Groot Nibbelink
|
Dimensional regularization of a compact dimension
|
12 pages, LaTeX, 1 figure, some minor changes and references added
|
Nucl.Phys.B619:373-384,2001
|
10.1016/S0550-3213(01)00539-9
| null |
hep-th hep-ph
| null |
An extension of dimensional regularization to the case of compact dimensions
is presented. The procedure preserves the Kaluza-Klein tower structure, but has
a regulator specific to the compact dimension. Possible 5 and 4 dimensional
divergent as well as manifest finite contributions of (one-loop) Feynman graphs
can easily be identified in this scheme.
|
[
{
"created": "Fri, 24 Aug 2001 12:52:42 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Nov 2001 18:02:56 GMT",
"version": "v2"
}
] |
2011-10-11
|
[
[
"Nibbelink",
"S. Groot",
""
]
] |
An extension of dimensional regularization to the case of compact dimensions is presented. The procedure preserves the Kaluza-Klein tower structure, but has a regulator specific to the compact dimension. Possible 5 and 4 dimensional divergent as well as manifest finite contributions of (one-loop) Feynman graphs can easily be identified in this scheme.
| 17.95978
| 16.314421
| 16.256912
| 14.387403
| 17.197355
| 14.59442
| 16.126293
| 15.814918
| 15.374197
| 18.553406
| 15.386111
| 14.798608
| 16.294989
| 15.220658
| 16.310154
| 15.710697
| 15.185639
| 15.019125
| 15.431769
| 16.084543
| 15.079037
|
2308.15824
|
Steffen Pottel
|
Steffen Pottel and Klaus Sibold
|
On the Perturbative Quantization of Einstein-Hilbert Gravity Embedded in
a Higher Derivative Model II
|
21 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In a previous paper we presented the renormalization of Einstein-Hilbert
gravity under inclusion of higher derivative terms and proposed a projection
down to the physical state space of Einstein-Hilbert. In the present paper we
describe this procedure in more detail via decomposing the original double-pole
field $h^{\mu\nu}$ in the bilinear field sector into a massless and a massive
spin two field. Those are associated with the poles at zero mass resp. at
non-zero mass of $h$ in the tree approximation. We show that the massive fields
have no poles in higher orders hence do not correspond to particles. $S$-matrix
unitarity is violated only in tree approximation. On the way to these results
we derive finiteness properties which are valid in the Landau gauge. Those
simplify the renormalization group analysis of the model considerably. We also
establish a rigid Weyl identity which represents a proper substitute for a
Callan-Symanzik equation in flat spacetime.
|
[
{
"created": "Wed, 30 Aug 2023 07:54:42 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Apr 2024 18:47:25 GMT",
"version": "v2"
}
] |
2024-04-19
|
[
[
"Pottel",
"Steffen",
""
],
[
"Sibold",
"Klaus",
""
]
] |
In a previous paper we presented the renormalization of Einstein-Hilbert gravity under inclusion of higher derivative terms and proposed a projection down to the physical state space of Einstein-Hilbert. In the present paper we describe this procedure in more detail via decomposing the original double-pole field $h^{\mu\nu}$ in the bilinear field sector into a massless and a massive spin two field. Those are associated with the poles at zero mass resp. at non-zero mass of $h$ in the tree approximation. We show that the massive fields have no poles in higher orders hence do not correspond to particles. $S$-matrix unitarity is violated only in tree approximation. On the way to these results we derive finiteness properties which are valid in the Landau gauge. Those simplify the renormalization group analysis of the model considerably. We also establish a rigid Weyl identity which represents a proper substitute for a Callan-Symanzik equation in flat spacetime.
| 13.039282
| 14.271443
| 14.183777
| 13.185759
| 14.141937
| 13.247223
| 13.680322
| 12.852979
| 12.517689
| 15.141188
| 13.453568
| 12.955873
| 12.78718
| 12.592745
| 12.725522
| 13.051483
| 12.324519
| 12.908502
| 12.287786
| 13.182028
| 12.55578
|
1001.4532
|
Jeong-Hyuck Park
|
Kanghoon Lee and Jeong-Hyuck Park
|
Partonic description of a supersymmetric p-brane
|
1+16 pages, no figure; References added and Concluding section
expanded. Final version to appear in JHEP
|
JHEP 1004:043,2010
|
10.1007/JHEP04(2010)043
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider supersymmetric extensions of a recently proposed partonic
description of a bosonic p-brane which reformulates the Nambu-Goto action as an
interacting multi-particle action with Filippov-Lie algebra gauge symmetry. We
construct a worldline supersymmetric action by postulating, among others, a
p-form fermion. Demanding a local worldline supersymmetry rather than the full
worldvolume supersymmetry, we circumvent a known no-go theorem against the
construction of a Ramond-Neveu-Schwarz supersymmetric action for a p-brane of
p>1. We also derive a spacetime supersymmetric Green-Schwarz extension from the
preexisting kappa-symmetric action.
|
[
{
"created": "Tue, 26 Jan 2010 07:52:18 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Feb 2010 03:20:47 GMT",
"version": "v2"
},
{
"created": "Tue, 30 Mar 2010 08:01:00 GMT",
"version": "v3"
}
] |
2014-11-20
|
[
[
"Lee",
"Kanghoon",
""
],
[
"Park",
"Jeong-Hyuck",
""
]
] |
We consider supersymmetric extensions of a recently proposed partonic description of a bosonic p-brane which reformulates the Nambu-Goto action as an interacting multi-particle action with Filippov-Lie algebra gauge symmetry. We construct a worldline supersymmetric action by postulating, among others, a p-form fermion. Demanding a local worldline supersymmetry rather than the full worldvolume supersymmetry, we circumvent a known no-go theorem against the construction of a Ramond-Neveu-Schwarz supersymmetric action for a p-brane of p>1. We also derive a spacetime supersymmetric Green-Schwarz extension from the preexisting kappa-symmetric action.
| 10.564156
| 10.468693
| 12.098983
| 10.100695
| 9.763312
| 9.944586
| 9.976988
| 9.995523
| 9.580384
| 12.649137
| 9.208385
| 9.830409
| 11.502622
| 9.976149
| 9.883525
| 9.830271
| 10.097718
| 10.090597
| 10.296026
| 11.039089
| 9.773974
|
1012.3473
|
Willem Westra
|
Jurjen F. Koksma and W. Westra
|
A Causal Alternative to Feynman's Propagator
|
31 pages, 3 figures
| null | null |
ITP-UU-10/43, SPIN-10/36
|
hep-th gr-qc hep-ph quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Feynman propagator used in the conventional in-out formalism in quantum
field theory is not a causal propagator as wave packets are propagated
virtually instantaneously outside the causal region of the initial state. We
formulate a causal in-out formalism in quantum field theory by making use of
the Wheeler propagator, the time ordered commutator propagator, which is
manifestly causal. Only free scalar field theories and their first quantization
are considered. We identify the real Klein Gordon field itself as the wave
function of a neutral spinless relativistic particle. Furthermore, we derive a
probability density for our relativistic wave packet using the inner product
between states that live on a suitably defined Hilbert space of real quantum
fields. We show that the time evolution of our probability density is governed
by the Wheeler propagator, such that it behaves causally too.
|
[
{
"created": "Wed, 15 Dec 2010 21:17:44 GMT",
"version": "v1"
}
] |
2010-12-17
|
[
[
"Koksma",
"Jurjen F.",
""
],
[
"Westra",
"W.",
""
]
] |
The Feynman propagator used in the conventional in-out formalism in quantum field theory is not a causal propagator as wave packets are propagated virtually instantaneously outside the causal region of the initial state. We formulate a causal in-out formalism in quantum field theory by making use of the Wheeler propagator, the time ordered commutator propagator, which is manifestly causal. Only free scalar field theories and their first quantization are considered. We identify the real Klein Gordon field itself as the wave function of a neutral spinless relativistic particle. Furthermore, we derive a probability density for our relativistic wave packet using the inner product between states that live on a suitably defined Hilbert space of real quantum fields. We show that the time evolution of our probability density is governed by the Wheeler propagator, such that it behaves causally too.
| 11.025062
| 10.318636
| 11.405712
| 10.855296
| 11.123545
| 11.283425
| 11.899413
| 10.314383
| 11.05475
| 12.758691
| 10.369147
| 11.17268
| 10.529871
| 10.531484
| 10.522017
| 10.696236
| 10.563207
| 10.993586
| 10.528217
| 10.984892
| 10.571155
|
0812.5042
|
Pulak Ranjan Giri
|
Pulak Ranjan Giri, T. Shreecharan
|
Observations on spacetime symmetry and non-commutativity
|
3 pages, no figure, revtex
| null | null | null |
hep-th math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider both the co-ordinates and momenta to be non-commutative and
define a non-commutative version of Lorentz symmetry which has a smooth limit
to the standard Lorentz symmetry. The Poincar\acute{e} algebra in this
spacetime has also been discussed.
|
[
{
"created": "Tue, 30 Dec 2008 09:47:58 GMT",
"version": "v1"
}
] |
2008-12-31
|
[
[
"Giri",
"Pulak Ranjan",
""
],
[
"Shreecharan",
"T.",
""
]
] |
We consider both the co-ordinates and momenta to be non-commutative and define a non-commutative version of Lorentz symmetry which has a smooth limit to the standard Lorentz symmetry. The Poincar\acute{e} algebra in this spacetime has also been discussed.
| 10.258939
| 8.629622
| 8.737391
| 8.184551
| 8.460933
| 8.603467
| 8.007264
| 7.982796
| 7.684397
| 10.041744
| 8.796671
| 8.422842
| 8.936715
| 8.011395
| 8.21017
| 8.84066
| 7.883428
| 8.409758
| 8.118956
| 8.727893
| 8.443159
|
1409.7175
|
Rabin Banerjee
|
Rabin Banerjee, Subir Ghosh, Arpan Krishna Mitra
|
Hamiltonian analysis of interacting fluids
|
19 pages, no figures, expanded version,new references, published in
EPJC (2015) 75:207
| null |
10.1140/epjc/s10052-015-3412-y
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Ideal fluid dynamics is studied as a relativistic field theory with
particular importance on its hamiltonian structure. The Schwinger condition,
whose integrated version yields the stress tensor conservation, is explicitly
verified both in equal-time and light-cone coordinate systems. We also consider
the hamiltonian formulation of fluids interacting with an external gauge field.
The complementary roles of the canonical(Noether) stress tensor and the
symmetric one obtained by metric variation are discussed. Finally, a
non-relativistic reduction of the system in light-cone coordinates has been
carried out which reproduces results found earlier in the literature.
|
[
{
"created": "Thu, 25 Sep 2014 08:07:58 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Jan 2015 07:01:43 GMT",
"version": "v2"
},
{
"created": "Tue, 19 May 2015 12:21:31 GMT",
"version": "v3"
}
] |
2015-06-11
|
[
[
"Banerjee",
"Rabin",
""
],
[
"Ghosh",
"Subir",
""
],
[
"Mitra",
"Arpan Krishna",
""
]
] |
Ideal fluid dynamics is studied as a relativistic field theory with particular importance on its hamiltonian structure. The Schwinger condition, whose integrated version yields the stress tensor conservation, is explicitly verified both in equal-time and light-cone coordinate systems. We also consider the hamiltonian formulation of fluids interacting with an external gauge field. The complementary roles of the canonical(Noether) stress tensor and the symmetric one obtained by metric variation are discussed. Finally, a non-relativistic reduction of the system in light-cone coordinates has been carried out which reproduces results found earlier in the literature.
| 13.477952
| 13.289651
| 14.656928
| 13.158844
| 13.156853
| 11.721149
| 11.402243
| 12.427927
| 13.205687
| 16.466436
| 12.237846
| 11.963136
| 13.037476
| 12.305637
| 12.458425
| 11.981178
| 12.366574
| 12.291556
| 12.513379
| 12.758542
| 12.110905
|
hep-th/0606163
|
Masanori Hanada
|
Masanori Hanada
|
Regularization of the Covariant Derivative on Curved Space by Finite
Matrices
|
21pages, no figure, to appear in Prog. Theor. Phys
|
Prog.Theor.Phys.115:1189-1209,2006
|
10.1143/PTP.115.1189
| null |
hep-th
| null |
In a previous paper [M.~Hanada, H.~Kawai and Y.~Kimura, Prog. Theor. Phys.
114 (2005), 1295] it is shown that a covariant derivative on any n-dimensional
Riemannian manifold can be expressed in terms of a set of n matrices, and a new
interpretation of IIB matrix model, in which the diffeomorphism, the local
Lorentz symmetry and their higher spin analogues are embedded in the unitary
symmetry, is proposed. In this article we investigate several coset manifolds
in this formulation and show that on these backgrounds, it is possible to carry
out calculations at the level of finite matrices by using the properties of the
Lie algebras. We show how the local fields and the symmetries are embedded as
components of matrices and how to extract the physical degrees of freedom
satisfying the constraint proposed in the previous paper.
|
[
{
"created": "Sat, 17 Jun 2006 09:09:38 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Hanada",
"Masanori",
""
]
] |
In a previous paper [M.~Hanada, H.~Kawai and Y.~Kimura, Prog. Theor. Phys. 114 (2005), 1295] it is shown that a covariant derivative on any n-dimensional Riemannian manifold can be expressed in terms of a set of n matrices, and a new interpretation of IIB matrix model, in which the diffeomorphism, the local Lorentz symmetry and their higher spin analogues are embedded in the unitary symmetry, is proposed. In this article we investigate several coset manifolds in this formulation and show that on these backgrounds, it is possible to carry out calculations at the level of finite matrices by using the properties of the Lie algebras. We show how the local fields and the symmetries are embedded as components of matrices and how to extract the physical degrees of freedom satisfying the constraint proposed in the previous paper.
| 7.960186
| 7.741481
| 7.837513
| 7.632565
| 7.45516
| 7.508928
| 8.285667
| 7.698747
| 7.95941
| 8.493621
| 7.818976
| 7.280994
| 7.484547
| 7.11579
| 7.395895
| 7.519346
| 7.311494
| 7.433454
| 7.171298
| 7.609819
| 7.538436
|
hep-th/9311148
| null |
J. Ellis, N. Mavromatos, and D. Nanopoulos
|
A Liouville String Approach to Microscopic Time and Cosmology
|
Latex 23 pages, no figures, CERN-TH.7000/93, CTP-TAMU-66/93
| null | null | null |
hep-th astro-ph gr-qc hep-ph
| null |
In the non-critical string framework that we have proposed recently, the time
$t$ is identified with a dynamical local renormalization group scale, the
Liouville mode, and behaves as a statistical evolution parameter, flowing
irreversibly from an infrared fixed point - which we conjecture to be a
topological string phase - to an ultraviolet one - which corresponds to a
static critical string vacuum. When applied to a toy two-dimensional model of
space-time singularities, this formalism yields an apparent renormalization of
the velocity of light, and a $t$-dependent form of the uncertainty relation for
position and momentum of a test string. We speculate within this framework on a
stringy alternative to conventional field-theoretical inflation, and the decay
towards zero of the cosmological constant in a maximally-symmetric space.
|
[
{
"created": "Thu, 25 Nov 1993 02:00:00 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Ellis",
"J.",
""
],
[
"Mavromatos",
"N.",
""
],
[
"Nanopoulos",
"D.",
""
]
] |
In the non-critical string framework that we have proposed recently, the time $t$ is identified with a dynamical local renormalization group scale, the Liouville mode, and behaves as a statistical evolution parameter, flowing irreversibly from an infrared fixed point - which we conjecture to be a topological string phase - to an ultraviolet one - which corresponds to a static critical string vacuum. When applied to a toy two-dimensional model of space-time singularities, this formalism yields an apparent renormalization of the velocity of light, and a $t$-dependent form of the uncertainty relation for position and momentum of a test string. We speculate within this framework on a stringy alternative to conventional field-theoretical inflation, and the decay towards zero of the cosmological constant in a maximally-symmetric space.
| 13.654149
| 12.455515
| 13.261782
| 12.13885
| 11.605066
| 12.752834
| 11.902171
| 12.359035
| 12.041809
| 13.999691
| 12.435761
| 12.12021
| 12.351971
| 11.844084
| 11.827888
| 11.445909
| 11.711947
| 12.072776
| 11.669636
| 12.212823
| 11.855775
|
hep-th/9412212
|
Tsuguo Mogami
|
T. Mogami
|
Temporal-gauge String Field with Open Strings
|
8 pages, LaTeX
|
Phys.Lett. B351 (1995) 439-444
|
10.1016/0370-2693(95)00423-I
|
KEK-TH-426
|
hep-th
| null |
A string field theory including open string fields is constructed in the
temporal gauge. It consists of string interaction vertices similar to the
light-cone gauge string field theory. A slight modification of the definition
of the time coordinate is needed because of the existence of the open string
end points.
|
[
{
"created": "Sat, 24 Dec 1994 03:20:54 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Mogami",
"T.",
""
]
] |
A string field theory including open string fields is constructed in the temporal gauge. It consists of string interaction vertices similar to the light-cone gauge string field theory. A slight modification of the definition of the time coordinate is needed because of the existence of the open string end points.
| 11.547402
| 10.336059
| 12.631053
| 9.701504
| 9.61614
| 9.390244
| 9.829577
| 10.366045
| 10.367385
| 14.10822
| 10.090941
| 9.783788
| 12.03631
| 10.029964
| 9.67739
| 9.604295
| 9.962605
| 10.132173
| 10.220012
| 11.152211
| 10.568934
|
hep-th/0607216
|
Christoph Adam
|
C. Adam, J. Sanchez-Guillen, A. Wereszczynski
|
Soliton stability in some knot soliton models
|
27 pages, LaTex file
|
J.Math.Phys.48:022305,2007
|
10.1063/1.2435986
| null |
hep-th
| null |
We study the issue of stability of static soliton-like solutions in some
non-linear field theories which allow for knotted field configurations.
Concretely, we investigate the AFZ model, based on a Lagrangian quartic in
first derivatives with infinitely many conserved currents, for which infinitely
many soliton solutions are known analytically. For this model we find that
sectors with different (integer) topological charge (Hopf index) are not
separated by an infinite energy barrier. Further, if variations which change
the topological charge are allowed, then the static solutions are not even
critical points of the energy functional. We also explain why soliton solutions
can exist at all, in spite of these facts. In addition, we briefly discuss the
Nicole model, which is based on a sigma-model type Lagrangian. For the Nicole
model we find that different topological sectors are separated by an infinite
energy barrier.
|
[
{
"created": "Wed, 26 Jul 2006 17:48:06 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Adam",
"C.",
""
],
[
"Sanchez-Guillen",
"J.",
""
],
[
"Wereszczynski",
"A.",
""
]
] |
We study the issue of stability of static soliton-like solutions in some non-linear field theories which allow for knotted field configurations. Concretely, we investigate the AFZ model, based on a Lagrangian quartic in first derivatives with infinitely many conserved currents, for which infinitely many soliton solutions are known analytically. For this model we find that sectors with different (integer) topological charge (Hopf index) are not separated by an infinite energy barrier. Further, if variations which change the topological charge are allowed, then the static solutions are not even critical points of the energy functional. We also explain why soliton solutions can exist at all, in spite of these facts. In addition, we briefly discuss the Nicole model, which is based on a sigma-model type Lagrangian. For the Nicole model we find that different topological sectors are separated by an infinite energy barrier.
| 8.330297
| 7.627842
| 8.561096
| 7.518273
| 8.251016
| 8.417426
| 7.885846
| 8.099162
| 7.755572
| 8.759059
| 7.640341
| 7.80454
| 7.963829
| 7.852064
| 7.894367
| 7.848825
| 7.639658
| 7.811473
| 7.608099
| 7.914408
| 7.636044
|
1101.4745
|
Stefano Bellucci
|
Stefano Bellucci, Vinod Chandra, Bhupendra Nath Tiwari
|
Strong Interactions, (De)coherence and Quarkonia
|
8 pages, Keywords: CPT symmetry, decoherence, Lorentz symmetry
breaking; PACS: 02.40.-k; 14.40.Pq; 12.40.Nn; 14.70.Dj; conference proceeding
of Discrete 2010, 6-11 December 2010, Roma (Italy); the Symposium proceedings
will be published online in a special volume of Journal of Physics:
Conference Series
|
J. Phys.: Conf. Ser. 335 (2011) 012062
|
10.1088/1742-6596/335/1/012062
| null |
hep-th hep-ph math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Quarkonia are the central objects to explore the non-perturbative nature of
non-abelian gauge theories. We describe the confinement-deconfinement phases
for heavy quarkonia in a hot QCD medium and thereby the statistical nature of
the inter-quark forces. In the sense of one-loop quantum effects, we propose
that the "quantum" nature of quark matters follows directly from the
thermodynamic consideration of Richardson potential. Thereby we gain an
understanding of the formation of hot and dense states of quark gluon plasma
matter in heavy ion collisions and the early universe. In the case of the
non-abelian theory, the consideration of the Sudhakov form factor turns out to
be an efficient tool for soft gluons. In the limit of the Block-Nordsieck
resummation, the strong coupling obtained from the Sudhakov form factor yields
the statistical nature of hadronic bound states, e.g. kaons and Ds particles.
|
[
{
"created": "Tue, 25 Jan 2011 08:14:41 GMT",
"version": "v1"
}
] |
2012-03-22
|
[
[
"Bellucci",
"Stefano",
""
],
[
"Chandra",
"Vinod",
""
],
[
"Tiwari",
"Bhupendra Nath",
""
]
] |
Quarkonia are the central objects to explore the non-perturbative nature of non-abelian gauge theories. We describe the confinement-deconfinement phases for heavy quarkonia in a hot QCD medium and thereby the statistical nature of the inter-quark forces. In the sense of one-loop quantum effects, we propose that the "quantum" nature of quark matters follows directly from the thermodynamic consideration of Richardson potential. Thereby we gain an understanding of the formation of hot and dense states of quark gluon plasma matter in heavy ion collisions and the early universe. In the case of the non-abelian theory, the consideration of the Sudhakov form factor turns out to be an efficient tool for soft gluons. In the limit of the Block-Nordsieck resummation, the strong coupling obtained from the Sudhakov form factor yields the statistical nature of hadronic bound states, e.g. kaons and Ds particles.
| 13.130733
| 13.395473
| 13.414589
| 13.067287
| 13.693241
| 13.615225
| 14.102513
| 13.587531
| 13.081203
| 14.181621
| 12.539121
| 12.860727
| 12.795679
| 12.536968
| 12.55543
| 13.064468
| 12.873652
| 12.735679
| 12.343825
| 12.812916
| 12.694205
|
hep-th/0404186
|
Jacques L. Rubin
|
Jacques L. Rubin, Thierry Grandou
|
Spacetime deployments parametrized by gravitational and electromagnetic
fields
|
26 pages, LaTeX2e, file macro "suppl.sty", correction in the
definition of germs and local rings
| null | null |
INLN 2004/01
|
hep-th gr-qc
| null |
On the basis of a "Punctual" Equivalence Principle of the general relativity
context, we consider spacetimes with measurements of conformally invariant
physical properties. Then, applying the Pfaff theory for PDE to a particular
conformally equivariant system of differential equations, we make explicit the
dependence of any kind of function describing a "spacetime deployment", on
n(n+1) parametrizing functions, denoting by n the spacetime dimension. These
functions, appearing in a linear differential Spencer sequence and determining
gauge fields of spacetime deformations relatively to a "substrat spacetime",
can be consistently ascribed to unified electromagnetic and gravitational
fields, at any spacetime dimensions n greater or equal to 4.
|
[
{
"created": "Fri, 23 Apr 2004 16:36:00 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Apr 2004 13:58:53 GMT",
"version": "v2"
},
{
"created": "Tue, 4 May 2004 06:05:57 GMT",
"version": "v3"
},
{
"created": "Wed, 6 Oct 2004 13:18:35 GMT",
"version": "v4"
},
{
"created": "Thu, 7 Oct 2004 22:59:17 GMT",
"version": "v5"
}
] |
2007-05-23
|
[
[
"Rubin",
"Jacques L.",
""
],
[
"Grandou",
"Thierry",
""
]
] |
On the basis of a "Punctual" Equivalence Principle of the general relativity context, we consider spacetimes with measurements of conformally invariant physical properties. Then, applying the Pfaff theory for PDE to a particular conformally equivariant system of differential equations, we make explicit the dependence of any kind of function describing a "spacetime deployment", on n(n+1) parametrizing functions, denoting by n the spacetime dimension. These functions, appearing in a linear differential Spencer sequence and determining gauge fields of spacetime deformations relatively to a "substrat spacetime", can be consistently ascribed to unified electromagnetic and gravitational fields, at any spacetime dimensions n greater or equal to 4.
| 24.24832
| 27.347301
| 26.229033
| 24.207043
| 26.528667
| 28.015068
| 27.59119
| 22.499611
| 25.309334
| 23.054749
| 25.902073
| 22.482897
| 22.506672
| 22.704884
| 22.556953
| 22.665125
| 22.394745
| 22.471685
| 22.639585
| 22.195969
| 23.483463
|
1307.0266
|
Dong-han Yeom
|
Jakob Hansen, Bum-Hoon Lee, Chanyong Park, Dong-han Yeom
|
Inside and outside stories of black-branes in anti de Sitter space
|
27 pages, 12 figures
|
Class.Quant.Grav.30:235022,2013
|
10.1088/0264-9381/30/23/235022
|
YITP-13-59
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we investigate the dynamics inside and outside of black-branes
in anti de Sitter space by numerical simulations using double-null formalism.
We prepare a charged planar matter shell which, due to a negative cosmological
constant, collapses and dynamically forms a black-brane with an apparent
horizon, a singularity and a Cauchy horizon. The gravitational collapse cannot
form a naked overcharged black-brane and hence weak cosmic censorship is safe.
Although mass inflation occurs, the effect is much milder than in the case of
charged black holes; hence, strong cosmic censorship seems not to be safe. We
observed the scalar field dynamics outside the horizon. There should remain a
non-trivial scalar field combination - 'charge cloud' - between the horizon and
the boundary. This can give some meaning in terms of the AdS/CFT
correspondence.
|
[
{
"created": "Mon, 1 Jul 2013 03:20:21 GMT",
"version": "v1"
},
{
"created": "Sat, 2 Nov 2013 07:20:29 GMT",
"version": "v2"
}
] |
2013-11-05
|
[
[
"Hansen",
"Jakob",
""
],
[
"Lee",
"Bum-Hoon",
""
],
[
"Park",
"Chanyong",
""
],
[
"Yeom",
"Dong-han",
""
]
] |
In this paper, we investigate the dynamics inside and outside of black-branes in anti de Sitter space by numerical simulations using double-null formalism. We prepare a charged planar matter shell which, due to a negative cosmological constant, collapses and dynamically forms a black-brane with an apparent horizon, a singularity and a Cauchy horizon. The gravitational collapse cannot form a naked overcharged black-brane and hence weak cosmic censorship is safe. Although mass inflation occurs, the effect is much milder than in the case of charged black holes; hence, strong cosmic censorship seems not to be safe. We observed the scalar field dynamics outside the horizon. There should remain a non-trivial scalar field combination - 'charge cloud' - between the horizon and the boundary. This can give some meaning in terms of the AdS/CFT correspondence.
| 13.14521
| 15.342707
| 13.53361
| 13.029937
| 13.363385
| 14.679776
| 15.716624
| 12.743408
| 13.496647
| 13.193484
| 12.718534
| 13.580322
| 13.117675
| 12.602042
| 13.233819
| 13.508852
| 13.098761
| 12.716773
| 13.446529
| 13.189796
| 13.160914
|
1803.05173
|
Alexander Reshetnyak
|
Alexander A. Reshetnyak
|
Constrained BRST-BFV and BRST-BV Lagrangians for half-integer HS fields
on $R^{1,d-1}$
|
11 pages, extended contribution to the Proceedings of the
International Workshop "Supersymmetry and Quantum Symmetries" (SQS'2017,
31.07.2017 - 5.08.2017, Dubna, Russia); 3 references, acknowledgements added,
final version, typos corrected
|
Physics of Particles and Nuclei 49(5) (2018) 952-957
|
10.1134/S1063779618050349
| null |
hep-th math-ph math.DS math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Gauge invariant Lagrangian descriptions of irreducible and reducible
half-integer higher-spin mixed-symmetric massless and massive representations
of the Poincare group with off-shell algebraic constraints are constructed
within a metric-like formulation in a $d$-dimensional flat space-time on the
basis of a suggested constrained BRST approach. A Lorentz-invariant resolution
of the BRST complex within the constrained BRST formulations produces a
gauge-invariant Fang-Fronsdal Lagrangian entirely in terms of the initial
triple gamma-traceless spin-tensor field $\Psi_{(\mu)_{n}}$ with
gamma-traceless gauge parameter. The triplet and quartet formulations are
derived. The minimal (un)constrained BRST--BV actions for above formulations
are obtained, from proposed constrained BRST--BV approach to be by appropriate
tools to construct interacting constrained Lagrangians.
|
[
{
"created": "Wed, 14 Mar 2018 09:26:17 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Mar 2018 12:56:43 GMT",
"version": "v2"
},
{
"created": "Tue, 10 Jul 2018 00:55:07 GMT",
"version": "v3"
},
{
"created": "Tue, 21 Aug 2018 14:05:25 GMT",
"version": "v4"
},
{
"created": "Wed, 24 Oct 2018 03:55:22 GMT",
"version": "v5"
}
] |
2018-10-25
|
[
[
"Reshetnyak",
"Alexander A.",
""
]
] |
Gauge invariant Lagrangian descriptions of irreducible and reducible half-integer higher-spin mixed-symmetric massless and massive representations of the Poincare group with off-shell algebraic constraints are constructed within a metric-like formulation in a $d$-dimensional flat space-time on the basis of a suggested constrained BRST approach. A Lorentz-invariant resolution of the BRST complex within the constrained BRST formulations produces a gauge-invariant Fang-Fronsdal Lagrangian entirely in terms of the initial triple gamma-traceless spin-tensor field $\Psi_{(\mu)_{n}}$ with gamma-traceless gauge parameter. The triplet and quartet formulations are derived. The minimal (un)constrained BRST--BV actions for above formulations are obtained, from proposed constrained BRST--BV approach to be by appropriate tools to construct interacting constrained Lagrangians.
| 17.617268
| 15.203899
| 21.904547
| 15.588202
| 15.462909
| 14.348703
| 14.832747
| 14.669768
| 15.772876
| 22.833439
| 16.101444
| 17.549894
| 18.106457
| 16.84762
| 16.230019
| 17.499147
| 17.689445
| 17.709986
| 17.256704
| 19.12154
| 16.990862
|
1307.6850
|
Julian Sonner
|
Julian Sonner
|
Holographic Schwinger Effect and the Geometry of Entanglement
|
4 pages, 2 figures; version as published in journal; title change to
conform with APS conventions; clarifications added, references updated
|
Phys. Rev. Lett. 111, 211603 (2013)
|
10.1103/PhysRevLett.111.211603
|
MIT-CTP 4483
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note we point out that the recently proposed bulk dual of an
entangled pair of a quark and an anti-quark corresponds to the Lorentzian
continuation of the tunneling instanton describing Schwinger pair creation in
the dual field theory. This observation supports and further explains the claim
by Jensen & Karch that the bulk dual of an EPR pair is a string with a wormhole
on its world sheet. We suggest that this constitutes an AdS/CFT realization of
the creation of a Wheeler wormhole.
|
[
{
"created": "Thu, 25 Jul 2013 19:44:11 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Aug 2013 14:02:52 GMT",
"version": "v2"
},
{
"created": "Mon, 23 Dec 2013 20:06:48 GMT",
"version": "v3"
}
] |
2013-12-24
|
[
[
"Sonner",
"Julian",
""
]
] |
In this note we point out that the recently proposed bulk dual of an entangled pair of a quark and an anti-quark corresponds to the Lorentzian continuation of the tunneling instanton describing Schwinger pair creation in the dual field theory. This observation supports and further explains the claim by Jensen & Karch that the bulk dual of an EPR pair is a string with a wormhole on its world sheet. We suggest that this constitutes an AdS/CFT realization of the creation of a Wheeler wormhole.
| 10.133265
| 8.714315
| 10.318448
| 8.47528
| 8.836395
| 9.245036
| 8.426667
| 8.341319
| 9.088787
| 11.556348
| 8.886005
| 8.490452
| 9.505866
| 9.06945
| 8.555595
| 8.560774
| 8.339355
| 8.59487
| 8.902819
| 9.442438
| 8.652342
|
hep-th/9510055
|
Rolf Schimmrigk
|
Ralph Blumenhagen, Rolf Schimmrigk and Andreas Wisskirchen
|
The (0,2) Exactly Solvable Structure of Chiral Rings, Landau-Ginzburg
Theories and Calabi-Yau Manifolds
|
34 pages, minor changes
|
Nucl.Phys. B461 (1996) 460-492
|
10.1016/0550-3213(96)00011-9
|
BONN-TH-95-17, IFP-601-UNC, NSF-ITP-95-120
|
hep-th
| null |
We identify the exactly solvable theory of the conformal fixed point of (0,2)
Calabi-Yau sigma-models and their Landau-Ginzburg phases. To this end we
consider a number of (0,2) models constructed from a particular (2,2) exactly
solvable theory via the method of simple currents. In order to establish the
relation between exactly solvable (0,2) vacua of the heterotic string, (0,2)
Landau-Ginzburg orbifolds, and (0,2) Calabi-Yau manifolds, we compute the
Yukawa couplings in the exactly solvable model and compare the results with the
product structure of the chiral ring which we extract from the structure of the
massless spectrum of the exact theory. We find complete agreement between the
two up to a finite number of renormalizations. For a particularly simple
example we furthermore derive the generating ideal of the chiral ring from a
(0,2) linear sigma-model which has both a Landau-Ginzburg and a (0,2)
Calabi-Yau phase.
|
[
{
"created": "Tue, 10 Oct 1995 06:56:33 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Mar 1996 12:49:03 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Blumenhagen",
"Ralph",
""
],
[
"Schimmrigk",
"Rolf",
""
],
[
"Wisskirchen",
"Andreas",
""
]
] |
We identify the exactly solvable theory of the conformal fixed point of (0,2) Calabi-Yau sigma-models and their Landau-Ginzburg phases. To this end we consider a number of (0,2) models constructed from a particular (2,2) exactly solvable theory via the method of simple currents. In order to establish the relation between exactly solvable (0,2) vacua of the heterotic string, (0,2) Landau-Ginzburg orbifolds, and (0,2) Calabi-Yau manifolds, we compute the Yukawa couplings in the exactly solvable model and compare the results with the product structure of the chiral ring which we extract from the structure of the massless spectrum of the exact theory. We find complete agreement between the two up to a finite number of renormalizations. For a particularly simple example we furthermore derive the generating ideal of the chiral ring from a (0,2) linear sigma-model which has both a Landau-Ginzburg and a (0,2) Calabi-Yau phase.
| 6.39843
| 6.119418
| 6.931828
| 5.934024
| 6.15942
| 5.813515
| 5.99525
| 6.482132
| 5.885993
| 7.354909
| 5.816988
| 6.066569
| 6.610409
| 5.999772
| 6.094868
| 6.120606
| 6.103805
| 5.958912
| 6.035678
| 6.602491
| 5.86782
|
1901.01762
|
Matej Pavsic
|
Matej Pav\v{s}i\v{c}
|
A Novel View on Successive Quantizations, Leading to Increasingly More
"Miraculous" States
|
16 pages; A reference is added, and some typos are corrected
| null |
10.1142/S0217732319501861
| null |
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A series of successive quantizations is considered, starting with the
quantization of a non relativistic or relativistic point particle: 1)
quantization of a particle's position, 2) quantization of wave function, 3)
quantization of wave functional. The latter step implies that the wave packet
profiles forming the states of quantum field theory are themselves quantized,
which gives new physical states that are configurations of configurations. In
the procedure of quantization, instead of the Schr\"odinger first order
equation in time derivative for complex wave function (or functional), the
equivalent second order equation for its real part was used. In such a way, at
each level of quantization, the equation a quantum state satisfies is just like
that of a harmonic oscillator, and wave function(al) is composed in terms of
the pair of its canonically conjugated variables.
|
[
{
"created": "Mon, 7 Jan 2019 12:00:35 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Apr 2019 11:02:30 GMT",
"version": "v2"
}
] |
2019-09-04
|
[
[
"Pavšič",
"Matej",
""
]
] |
A series of successive quantizations is considered, starting with the quantization of a non relativistic or relativistic point particle: 1) quantization of a particle's position, 2) quantization of wave function, 3) quantization of wave functional. The latter step implies that the wave packet profiles forming the states of quantum field theory are themselves quantized, which gives new physical states that are configurations of configurations. In the procedure of quantization, instead of the Schr\"odinger first order equation in time derivative for complex wave function (or functional), the equivalent second order equation for its real part was used. In such a way, at each level of quantization, the equation a quantum state satisfies is just like that of a harmonic oscillator, and wave function(al) is composed in terms of the pair of its canonically conjugated variables.
| 12.537133
| 12.190765
| 11.423986
| 11.293184
| 12.937809
| 12.942172
| 12.358867
| 12.135705
| 11.774501
| 12.984466
| 11.325392
| 11.168005
| 10.847457
| 11.071594
| 11.137517
| 11.501766
| 11.039858
| 11.064665
| 11.028501
| 11.482196
| 11.052467
|
hep-th/9711031
|
Marco Serone
|
Marco Serone
|
A comment on the $R^4$-coupling in (M)atrix Theory
|
LaTex file, 12 pages, no figures; references and some comments added
|
Phys.Lett. B422 (1998) 88-92
|
10.1016/S0370-2693(98)00011-2
|
UvA-WINS-Wisk. 97-13
|
hep-th
| null |
By scaling arguments we show that the presence of a $R^4$-term in the eleven
dimensional supergravity effective lagrangian, if it is visible in (M)atrix
theory, should produce a correction to the five-loops effective lagrangian of
two moving D0-branes.
|
[
{
"created": "Wed, 5 Nov 1997 18:03:03 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Dec 1997 11:18:12 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Serone",
"Marco",
""
]
] |
By scaling arguments we show that the presence of a $R^4$-term in the eleven dimensional supergravity effective lagrangian, if it is visible in (M)atrix theory, should produce a correction to the five-loops effective lagrangian of two moving D0-branes.
| 15.696286
| 12.37975
| 15.291083
| 12.452675
| 12.913628
| 13.34946
| 12.320577
| 11.949207
| 12.472598
| 15.630288
| 12.733993
| 12.307105
| 13.34108
| 13.096103
| 12.383484
| 11.916442
| 11.878934
| 12.408342
| 12.399674
| 13.42979
| 12.902991
|
hep-th/0106078
|
In Yong Park
|
I.Y. Park
|
Strong Coupling Limit of Open String: Born-Infeld Analysis
|
15 pages, 2 figures, minor typos corrected, to appear in Phys. Rev. D
|
Phys.Rev.D64:081901,2001
|
10.1103/PhysRevD.64.081901
| null |
hep-th
| null |
We consider a large coupling limit of a Born-Infeld action in a curved
background of an arbitrary metric and a constant two form field. Following
hep-th/0009061, we go to the Hamiltonian description. The Hamiltonian can be
dualized and the dual action admits a string-like configuration as its
solution. We interpret it as a closed string configuration. The procedure can
be viewed as a novel way of bringing out the appropriate degrees of freedom, a
closed string, for a open string under the strong coupling limit. We argue that
this interpretation implies a large number of dual pairs of gauge and gravity
theories whose particular examples are AdS/CFT and matrix theory conjectures.
|
[
{
"created": "Mon, 11 Jun 2001 16:39:06 GMT",
"version": "v1"
},
{
"created": "Sat, 16 Jun 2001 15:42:08 GMT",
"version": "v2"
},
{
"created": "Tue, 14 Aug 2001 20:55:08 GMT",
"version": "v3"
}
] |
2014-11-18
|
[
[
"Park",
"I. Y.",
""
]
] |
We consider a large coupling limit of a Born-Infeld action in a curved background of an arbitrary metric and a constant two form field. Following hep-th/0009061, we go to the Hamiltonian description. The Hamiltonian can be dualized and the dual action admits a string-like configuration as its solution. We interpret it as a closed string configuration. The procedure can be viewed as a novel way of bringing out the appropriate degrees of freedom, a closed string, for a open string under the strong coupling limit. We argue that this interpretation implies a large number of dual pairs of gauge and gravity theories whose particular examples are AdS/CFT and matrix theory conjectures.
| 15.291101
| 13.215523
| 15.45022
| 12.705142
| 13.6337
| 14.071513
| 14.473998
| 14.051386
| 13.533833
| 16.43009
| 13.461355
| 13.479976
| 15.458554
| 13.861883
| 13.935197
| 13.526971
| 13.738486
| 13.715982
| 13.970737
| 14.69833
| 13.587016
|
2208.01426
|
Tadashi Okazaki
|
Yasuyuki Hatsuda, Tadashi Okazaki
|
$\mathcal{N}=2^{*}$ Schur indices
|
61 pages
|
JHEP01(2023)029
|
10.1007/JHEP01(2023)029
|
RUP-22-17, KIAS-P22059
|
hep-th math.NT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We find closed-form expressions for the Schur indices of 4d
$\mathcal{N}=2^{*}$ super Yang-Mills theory with unitary gauge groups for
arbitrary ranks via the Fermi-gas formulation. They can be written as a sum
over the Young diagrams associated with spectral zeta functions of an ideal
Fermi-gas system. These functions are expressed in terms of the twisted
Weierstrass functions, generating functions for quasi-Jacobi forms. The indices
lie in the polynomial ring generated by the Kronecker theta function and the
Weierstrass functions which contains the polynomial ring of the quasi-Jacobi
forms. The grand canonical ensemble allows for another simple exact form of the
indices as infinite series. In addition, we find that the unflavored Schur
indices and their limits can be expressed in terms of several generating
functions for combinatorial objects, including sum of triangular numbers,
generalized sums of divisors and overpartitions.
|
[
{
"created": "Tue, 2 Aug 2022 13:02:04 GMT",
"version": "v1"
}
] |
2023-01-12
|
[
[
"Hatsuda",
"Yasuyuki",
""
],
[
"Okazaki",
"Tadashi",
""
]
] |
We find closed-form expressions for the Schur indices of 4d $\mathcal{N}=2^{*}$ super Yang-Mills theory with unitary gauge groups for arbitrary ranks via the Fermi-gas formulation. They can be written as a sum over the Young diagrams associated with spectral zeta functions of an ideal Fermi-gas system. These functions are expressed in terms of the twisted Weierstrass functions, generating functions for quasi-Jacobi forms. The indices lie in the polynomial ring generated by the Kronecker theta function and the Weierstrass functions which contains the polynomial ring of the quasi-Jacobi forms. The grand canonical ensemble allows for another simple exact form of the indices as infinite series. In addition, we find that the unflavored Schur indices and their limits can be expressed in terms of several generating functions for combinatorial objects, including sum of triangular numbers, generalized sums of divisors and overpartitions.
| 10.793823
| 9.196077
| 11.218871
| 9.347345
| 10.623356
| 9.142584
| 9.434472
| 9.529118
| 9.169024
| 13.40936
| 9.279052
| 9.694189
| 10.490632
| 9.507251
| 9.960847
| 10.194776
| 9.817899
| 9.755391
| 10.06814
| 10.715944
| 9.537352
|
hep-th/9810002
|
Christofer Cronstrom
|
Christofer Cronstrom
|
The Generalisation of the Coulomb Gauge to Yang-Mills Theory
|
8 pages
| null | null |
HIP-1998-61/TH
|
hep-th
| null |
I consider the problem of generalising the Abelian Coulomb gauge condition to
the non-Abelian Yang-Mills theory, with an arbitrary compact and semi-simple
gauge group. It is shown that a straightforward generalisation exists, which
reduces the Gauss law into a form involving the gauge potentials only, but not
their time derivatives. The existence and uniqueness of the generalised Coulomb
gauge is shown to depend on an elliptic linear partial differential equation
for a Lie-algebra valued quantity, which defines the gauge transform by means
of which the generalised Coulomb gauge condition is realised. Thus the Gribov
problem is actually non-existent in this case.
|
[
{
"created": "Thu, 1 Oct 1998 10:52:49 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Cronstrom",
"Christofer",
""
]
] |
I consider the problem of generalising the Abelian Coulomb gauge condition to the non-Abelian Yang-Mills theory, with an arbitrary compact and semi-simple gauge group. It is shown that a straightforward generalisation exists, which reduces the Gauss law into a form involving the gauge potentials only, but not their time derivatives. The existence and uniqueness of the generalised Coulomb gauge is shown to depend on an elliptic linear partial differential equation for a Lie-algebra valued quantity, which defines the gauge transform by means of which the generalised Coulomb gauge condition is realised. Thus the Gribov problem is actually non-existent in this case.
| 8.24273
| 8.201415
| 8.206323
| 7.505571
| 8.014773
| 8.688363
| 8.360472
| 7.549813
| 7.989414
| 9.115056
| 7.619705
| 7.317268
| 7.364056
| 7.396872
| 7.317103
| 7.332603
| 7.486166
| 7.548024
| 7.253188
| 7.488767
| 7.273353
|
hep-th/0609220
|
Natalia Kiriushcheva
|
R. N. Ghalati, N. Kiriushcheva, S. V. Kuzmin and D. G. C. McKeon
|
Canonical Analysis of the First Order Form of Topologically Massive
Electrodynamics
|
8 pages
| null | null | null |
hep-th
| null |
The first order form of a three dimensional U(1) gauge theory in which a
gauge invariant mass term appears is analyzed using the Dirac procedure. The
form of the gauge transformation which leaves the action invariant is derived
from the constraints present.
|
[
{
"created": "Fri, 29 Sep 2006 14:57:02 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Ghalati",
"R. N.",
""
],
[
"Kiriushcheva",
"N.",
""
],
[
"Kuzmin",
"S. V.",
""
],
[
"McKeon",
"D. G. C.",
""
]
] |
The first order form of a three dimensional U(1) gauge theory in which a gauge invariant mass term appears is analyzed using the Dirac procedure. The form of the gauge transformation which leaves the action invariant is derived from the constraints present.
| 14.87942
| 7.333158
| 10.316835
| 8.492519
| 9.813213
| 9.673031
| 9.901212
| 7.923475
| 8.512763
| 11.780477
| 9.017413
| 10.270293
| 11.857033
| 10.504255
| 10.925873
| 10.411913
| 10.878296
| 10.258222
| 11.104372
| 11.752526
| 10.521587
|
hep-th/0003233
|
Marek Olechowski
|
Krzysztof A. Meissner and Marek Olechowski
|
Anomaly cancellation in M-theory on orbifolds
|
latex, 14 pages
|
Nucl.Phys. B590 (2000) 161-172
|
10.1016/S0550-3213(00)00456-9
|
IFT-7/2000
|
hep-th
| null |
We present calculation of the anomaly cancellation in M-theory on orbifolds
$S^1/Z_2$ and $T^5/Z_2$ in the upstairs approach. The main requirement that
allows one to uniquely define solutions to the modified Bianchi identities in
this case is that the field strength $G$ be globally defined on $S^1$ or $T^5$
and properly transforming under $Z_2$. We solve for general $G$ that satisfies
these requirements and explicitly construct anomaly-free theories in the
upstairs approach. We also obtain the solutions in the presence of five-branes.
All these constructions show equivalence of the downstairs and upstairs
approaches. For example in the $S^1/Z_2$ case the ten-dimensional gauge
coupling and the anomaly cancellation at each wall are the same as in the
downstairs approach.
|
[
{
"created": "Mon, 27 Mar 2000 14:51:28 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Meissner",
"Krzysztof A.",
""
],
[
"Olechowski",
"Marek",
""
]
] |
We present calculation of the anomaly cancellation in M-theory on orbifolds $S^1/Z_2$ and $T^5/Z_2$ in the upstairs approach. The main requirement that allows one to uniquely define solutions to the modified Bianchi identities in this case is that the field strength $G$ be globally defined on $S^1$ or $T^5$ and properly transforming under $Z_2$. We solve for general $G$ that satisfies these requirements and explicitly construct anomaly-free theories in the upstairs approach. We also obtain the solutions in the presence of five-branes. All these constructions show equivalence of the downstairs and upstairs approaches. For example in the $S^1/Z_2$ case the ten-dimensional gauge coupling and the anomaly cancellation at each wall are the same as in the downstairs approach.
| 9.101117
| 9.386806
| 10.057158
| 8.674989
| 9.036742
| 8.818102
| 9.404477
| 8.927367
| 8.914074
| 10.308169
| 8.712126
| 9.058389
| 8.978267
| 8.754768
| 8.648155
| 8.826068
| 8.8334
| 8.765024
| 8.768562
| 9.193733
| 8.632255
|
hep-th/9210061
|
Ergin Sezgin
|
R. Percacci and E. Sezgin
|
Symmetries of P-Branes
|
15 pages, CTP-TAMU-32/92, SISSA 182/92/EP
|
Int. J. Mod. Phys. A8 (1993) 5367-5382
|
10.1142/S0217751X93002137
| null |
hep-th
| null |
Using canonical methods, we study the invariance properties of a bosonic
$p$--brane propagating in a curved background locally diffeomorphic to $M\times
G$, where $M$ is spacetime and $G$ a group manifold. The action is that of a
gauged sigma model in $p+1$ dimensions coupled to a Yang--Mills field and a
$(p+1)$--form in $M$. We construct the generators of Yang-Mills and tensor
gauge transformations and exhibit the role of the $(p+1)$--form in cancelling
the potential Schwinger terms. We also discuss the Noether currents associated
with the global symmetries of the action and the question of the existence of
infinite dimensional symmetry algebras, analogous to the Kac-Moody symmetry of
the string.
|
[
{
"created": "Sun, 11 Oct 1992 18:39:47 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Percacci",
"R.",
""
],
[
"Sezgin",
"E.",
""
]
] |
Using canonical methods, we study the invariance properties of a bosonic $p$--brane propagating in a curved background locally diffeomorphic to $M\times G$, where $M$ is spacetime and $G$ a group manifold. The action is that of a gauged sigma model in $p+1$ dimensions coupled to a Yang--Mills field and a $(p+1)$--form in $M$. We construct the generators of Yang-Mills and tensor gauge transformations and exhibit the role of the $(p+1)$--form in cancelling the potential Schwinger terms. We also discuss the Noether currents associated with the global symmetries of the action and the question of the existence of infinite dimensional symmetry algebras, analogous to the Kac-Moody symmetry of the string.
| 6.259332
| 5.855235
| 6.604848
| 5.855873
| 6.085088
| 5.445723
| 5.859561
| 5.62288
| 5.784746
| 6.756058
| 5.623289
| 5.666355
| 5.933064
| 5.618227
| 5.795879
| 5.768121
| 5.863601
| 5.762473
| 5.79569
| 5.978558
| 5.762042
|
hep-th/9806185
|
Alexander Vilenkin
|
Alexander Vilenkin (Tufts University)
|
Unambiguous probabilities in an eternally inflating universe
|
7 pages, Final version (minor changes), to appear in Phys. Rev. Lett
|
Phys.Rev.Lett. 81 (1998) 5501-5504
|
10.1103/PhysRevLett.81.5501
| null |
hep-th astro-ph gr-qc
| null |
``Constants of Nature'' and cosmological parameters may in fact be variables
related to some slowly-varying fields. In models of eternal inflation, such
fields will take different values in different parts of the universe. Here I
show how one can assign probabilities to values of the ``constants'' measured
by a typical observer. This method does not suffer from ambiguities previously
discussed in the literature.
|
[
{
"created": "Mon, 22 Jun 1998 14:54:42 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Nov 1998 18:00:17 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Vilenkin",
"Alexander",
"",
"Tufts University"
]
] |
``Constants of Nature'' and cosmological parameters may in fact be variables related to some slowly-varying fields. In models of eternal inflation, such fields will take different values in different parts of the universe. Here I show how one can assign probabilities to values of the ``constants'' measured by a typical observer. This method does not suffer from ambiguities previously discussed in the literature.
| 13.220788
| 10.840772
| 10.053748
| 9.785574
| 10.739882
| 10.026524
| 9.43373
| 10.040111
| 9.657104
| 10.746616
| 10.555661
| 10.560966
| 11.358832
| 10.494285
| 10.487017
| 10.52511
| 10.535665
| 10.246941
| 9.902281
| 10.49022
| 11.082894
|
1804.01737
|
Toshihiro Ota
|
Tetsuya Akutagawa, Koji Hashimoto, Takeshi Miyazaki, Toshihiro Ota
|
Phase diagram of QCD chaos in linear sigma models and holography
|
25 pages, 7 figures
|
PTEP 2018 (2018) no.6, 063B01
|
10.1093/ptep/pty055
|
OU-HET-966
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Measuring chaos of QCD-like theories is a challenge for formulating a novel
characterization of quantum gauge theories. We define a chaos phase diagram of
QCD allowing us to locate chaos in the parameter space of energy of homogeneous
meson condensates and the QCD parameters such as pion/quark mass. We draw the
chaos phase diagrams obtained in two ways: first, by using a linear sigma
model, varying parameters of the potential, and second, by using the D4/D6
holographic QCD, varying the number of colors $N_c$ and the 't Hooft coupling
constant $\lambda$. A scaling law drastically simplifies our analyses, and we
discovered that the chaos originates in the maximum of the potential, and
larger $N_c$ or larger $\lambda$ diminishes the chaos.
|
[
{
"created": "Thu, 5 Apr 2018 08:50:41 GMT",
"version": "v1"
}
] |
2019-04-17
|
[
[
"Akutagawa",
"Tetsuya",
""
],
[
"Hashimoto",
"Koji",
""
],
[
"Miyazaki",
"Takeshi",
""
],
[
"Ota",
"Toshihiro",
""
]
] |
Measuring chaos of QCD-like theories is a challenge for formulating a novel characterization of quantum gauge theories. We define a chaos phase diagram of QCD allowing us to locate chaos in the parameter space of energy of homogeneous meson condensates and the QCD parameters such as pion/quark mass. We draw the chaos phase diagrams obtained in two ways: first, by using a linear sigma model, varying parameters of the potential, and second, by using the D4/D6 holographic QCD, varying the number of colors $N_c$ and the 't Hooft coupling constant $\lambda$. A scaling law drastically simplifies our analyses, and we discovered that the chaos originates in the maximum of the potential, and larger $N_c$ or larger $\lambda$ diminishes the chaos.
| 13.086862
| 13.387361
| 12.548215
| 12.227079
| 13.429472
| 13.905288
| 14.346072
| 13.170824
| 12.542424
| 13.625753
| 12.608073
| 12.180888
| 12.048941
| 12.050857
| 11.965734
| 12.495879
| 12.160692
| 12.183275
| 12.021256
| 12.213787
| 12.427925
|
hep-th/9912279
|
Edward Witten
|
Gregory Moore and Edward Witten
|
Self-Duality, Ramond-Ramond Fields, and K-Theory
|
35 pp
|
JHEP 0005:032,2000
|
10.1088/1126-6708/2000/05/032
| null |
hep-th
| null |
Just as D-brane charge of Type IIA and Type IIB superstrings is classified,
respectively, by K^1(X) and K(X), Ramond-Ramond fields in these theories are
classified, respectively, by K(X) and K^1(X). By analyzing a recent proposal
for how to interpret quantum self-duality of RR fields, we show that the Dirac
quantization formula for the RR p-forms, when properly formulated, receives
corrections that reflect curvature, lower brane charges, and an anomaly of
D-brane world-volume fermions. The K-theory framework is important here,
because the term involving the fermion anomaly cannot be naturally expressed in
terms of cohomology and differential forms.
|
[
{
"created": "Thu, 30 Dec 1999 20:57:16 GMT",
"version": "v1"
}
] |
2010-04-07
|
[
[
"Moore",
"Gregory",
""
],
[
"Witten",
"Edward",
""
]
] |
Just as D-brane charge of Type IIA and Type IIB superstrings is classified, respectively, by K^1(X) and K(X), Ramond-Ramond fields in these theories are classified, respectively, by K(X) and K^1(X). By analyzing a recent proposal for how to interpret quantum self-duality of RR fields, we show that the Dirac quantization formula for the RR p-forms, when properly formulated, receives corrections that reflect curvature, lower brane charges, and an anomaly of D-brane world-volume fermions. The K-theory framework is important here, because the term involving the fermion anomaly cannot be naturally expressed in terms of cohomology and differential forms.
| 10.479291
| 11.264728
| 11.866693
| 10.279178
| 11.493146
| 11.382005
| 10.225864
| 10.26055
| 9.746322
| 13.167091
| 10.364284
| 10.408483
| 10.393182
| 9.578315
| 9.920467
| 10.190255
| 9.603131
| 9.563599
| 9.745915
| 10.604271
| 9.449424
|
0806.2667
|
Erik Plauschinn
|
Ralph Blumenhagen, Sebastian Moster, Erik Plauschinn
|
String GUT Scenarios with Stabilised Moduli
|
22 pages, 13 figures; v2: refs. and explanation added
|
Phys.Rev.D78:066008,2008
|
10.1103/PhysRevD.78.066008
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Taking into account the recently proposed poly-instanton corrections to the
superpotential and combining the race-track with a KKLT respectively LARGE
Volume Scenario in an intricate manner, we show that we gain exponential
control over the parameters in an effective superpotential. This allows us to
dynamically stabilise moduli such that a conventional MSSM scenario with the
string scale lowered to the GUT scale is realised. Depending on the cycles
wrapped by the MSSM branes, two different scenarios for the hierarchy of soft
masses arise. The first one is a supergravity mediated model with M_3/2=1TeV
while the second one features mixed anomaly-supergravity mediation with
M_3/2=10^10GeV and split supersymmetry. We also comment on dynamically lowering
the scales such that the tree-level cosmological constant is of the order
\Lambda=(10^-3eV)^4.
|
[
{
"created": "Tue, 17 Jun 2008 13:19:59 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Jul 2008 18:44:55 GMT",
"version": "v2"
}
] |
2009-02-23
|
[
[
"Blumenhagen",
"Ralph",
""
],
[
"Moster",
"Sebastian",
""
],
[
"Plauschinn",
"Erik",
""
]
] |
Taking into account the recently proposed poly-instanton corrections to the superpotential and combining the race-track with a KKLT respectively LARGE Volume Scenario in an intricate manner, we show that we gain exponential control over the parameters in an effective superpotential. This allows us to dynamically stabilise moduli such that a conventional MSSM scenario with the string scale lowered to the GUT scale is realised. Depending on the cycles wrapped by the MSSM branes, two different scenarios for the hierarchy of soft masses arise. The first one is a supergravity mediated model with M_3/2=1TeV while the second one features mixed anomaly-supergravity mediation with M_3/2=10^10GeV and split supersymmetry. We also comment on dynamically lowering the scales such that the tree-level cosmological constant is of the order \Lambda=(10^-3eV)^4.
| 14.251307
| 15.647003
| 13.997314
| 13.156084
| 14.136715
| 15.178582
| 15.052866
| 13.792576
| 12.714244
| 12.858645
| 14.513439
| 13.911306
| 13.406068
| 13.063178
| 13.270245
| 13.454524
| 13.427586
| 13.448818
| 13.173178
| 13.433177
| 13.174456
|
hep-th/0011144
|
Haewon Lee
|
Haewon Lee, W. S. l'Yi
|
Domain walls, stabilities, and the mass hierarchy of the Randall-Sundrum
Model
|
15 pages, 4 figures
| null | null | null |
hep-th
| null |
Randall-Sundrum model, which has a scalar field, is used to investigate the
domain structure of the extra dimension and to obtain a possible solution of
the mass hierarchy problem. It is found that when the domain wall size is
comparable to that of domains, domains become unstable. To construct a reliable
theory, a region of physical parameter space, where domains are stable, is
identified. Analytic forms of field configurations are obtained by perturbative
expansions in term of a small parameter that is approximately equal to the
relative size of domain wall with respect to domains. By placing a single
3-brane in one of the domain, one can solve the mass hierarchy problem.
|
[
{
"created": "Thu, 16 Nov 2000 04:32:26 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Lee",
"Haewon",
""
],
[
"l'Yi",
"W. S.",
""
]
] |
Randall-Sundrum model, which has a scalar field, is used to investigate the domain structure of the extra dimension and to obtain a possible solution of the mass hierarchy problem. It is found that when the domain wall size is comparable to that of domains, domains become unstable. To construct a reliable theory, a region of physical parameter space, where domains are stable, is identified. Analytic forms of field configurations are obtained by perturbative expansions in term of a small parameter that is approximately equal to the relative size of domain wall with respect to domains. By placing a single 3-brane in one of the domain, one can solve the mass hierarchy problem.
| 10.940892
| 10.206238
| 10.365377
| 10.493664
| 11.214504
| 11.588378
| 10.260099
| 10.115424
| 10.241863
| 11.369586
| 9.955245
| 10.460295
| 10.393782
| 9.993731
| 10.34719
| 9.924439
| 10.044035
| 10.173102
| 10.013674
| 10.2797
| 9.808832
|
0906.5501
|
Jonas Schmidt
|
Jonas Schmidt
|
Local Grand Unification in the Heterotic Landscape
|
141 pages, 6 figures, Ph.D. thesis
|
Fortsch.Phys.58:3-111,2010
|
10.1002/prop.200900079
|
DESY-THESIS-2009-020
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the possibility that the unification of the electroweak
interactions and the strong force arises from string theory, at energies
significantly lower than the string scale. As a tool, an effective grand
unified field theory in six dimensions is derived from an anisotropic orbifold
compactification of the heterotic string. It is explicitly shown that all
anomalies cancel in the model, though anomalous Abelian gauge symmetries are
present locally at the boundary singularities. In the supersymmetric vacuum
additional interactions arise from higher-dimensional operators. We develop
methods that relate the couplings of the effective theory to the location of
the vacuum, and find that unbroken discrete symmetries play an important role
for the phenomenology of orbifold models. An efficient algorithm for the
calculation of the superpotential to arbitrary order is developed, based on
symmetry arguments. We furthermore present a correspondence between bulk fields
of the orbifold model in six dimensions, and the moduli fields that arise from
compactifying four internal dimensions on a manifold with non-trivial gauge
background.
|
[
{
"created": "Tue, 30 Jun 2009 12:58:33 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Sep 2009 08:39:22 GMT",
"version": "v2"
}
] |
2010-02-04
|
[
[
"Schmidt",
"Jonas",
""
]
] |
We consider the possibility that the unification of the electroweak interactions and the strong force arises from string theory, at energies significantly lower than the string scale. As a tool, an effective grand unified field theory in six dimensions is derived from an anisotropic orbifold compactification of the heterotic string. It is explicitly shown that all anomalies cancel in the model, though anomalous Abelian gauge symmetries are present locally at the boundary singularities. In the supersymmetric vacuum additional interactions arise from higher-dimensional operators. We develop methods that relate the couplings of the effective theory to the location of the vacuum, and find that unbroken discrete symmetries play an important role for the phenomenology of orbifold models. An efficient algorithm for the calculation of the superpotential to arbitrary order is developed, based on symmetry arguments. We furthermore present a correspondence between bulk fields of the orbifold model in six dimensions, and the moduli fields that arise from compactifying four internal dimensions on a manifold with non-trivial gauge background.
| 10.009283
| 10.321795
| 10.115438
| 9.508227
| 10.663495
| 9.888279
| 9.975292
| 10.130803
| 9.696636
| 10.739892
| 9.602507
| 9.908116
| 9.869
| 9.770272
| 9.886438
| 9.917014
| 9.809392
| 9.723363
| 9.974077
| 9.771167
| 9.758697
|
1106.3845
|
Mans Henningson
|
Mans Henningson
|
Boundary conditions for GL-twisted N=4 SYM
|
14 pages, 1 figure, minor changes
| null |
10.1103/PhysRevD.86.085003
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider topologically twisted N=4 supersymmetric Yang-Mills theory on a
four-manifold of the form V = W \times R_+ or V = W \times I, where W is a
Riemannian three-manifold. Different kinds of boundary conditions apply at
infinity or at finite distance. We verify that each of these conditions defines
a `middle-dimensional' subspace of the space of all bulk solutions. Taking the
two boundaries of V into account should thus generically give a discrete set of
solutions. We explicitly find the spherically symmetric solutions when W = S^3
endowed with the standard metric. For widely separated boundaries, these
consist of a pair of solutions which coincide for a certain critical value of
the boundary separation and disappear for even smaller separations.
|
[
{
"created": "Mon, 20 Jun 2011 09:30:10 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Jul 2011 13:02:59 GMT",
"version": "v2"
}
] |
2013-05-30
|
[
[
"Henningson",
"Mans",
""
]
] |
We consider topologically twisted N=4 supersymmetric Yang-Mills theory on a four-manifold of the form V = W \times R_+ or V = W \times I, where W is a Riemannian three-manifold. Different kinds of boundary conditions apply at infinity or at finite distance. We verify that each of these conditions defines a `middle-dimensional' subspace of the space of all bulk solutions. Taking the two boundaries of V into account should thus generically give a discrete set of solutions. We explicitly find the spherically symmetric solutions when W = S^3 endowed with the standard metric. For widely separated boundaries, these consist of a pair of solutions which coincide for a certain critical value of the boundary separation and disappear for even smaller separations.
| 9.578011
| 9.120913
| 10.627201
| 8.572248
| 9.287744
| 8.777368
| 9.033306
| 9.325122
| 9.216987
| 11.181377
| 8.448322
| 9.099438
| 9.407951
| 8.566089
| 9.31485
| 8.839206
| 9.065259
| 8.78017
| 9.060088
| 9.415446
| 9.128289
|
1412.3253
|
Victor S. Fadin
|
V.S. Fadin
|
Discontinuities of multi-Regge amplitudes
|
4 pages, Invited talk presented by V.S. Fadin at "DIFFRACTION 2014",
May 10 - 15, 2014, Primosten (Croatia) (to be published in the AIP Conference
Proceedings
| null |
10.1063/1.4915996
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the BFKL approach, discontinuities of multiple production amplitudes in
invariant masses of produced particles are discussed. It turns out that they
are in evident contradiction with the BDS ansatz for $n$-gluon amplitudes in
the planar $N$=4 SYM at $n\ge 6$. An explicit expression for the NLO
discontinuity of the two-to-four amplitude in the invariant mass of two
produced gluons is is presented.
|
[
{
"created": "Wed, 10 Dec 2014 10:51:58 GMT",
"version": "v1"
}
] |
2015-06-23
|
[
[
"Fadin",
"V. S.",
""
]
] |
In the BFKL approach, discontinuities of multiple production amplitudes in invariant masses of produced particles are discussed. It turns out that they are in evident contradiction with the BDS ansatz for $n$-gluon amplitudes in the planar $N$=4 SYM at $n\ge 6$. An explicit expression for the NLO discontinuity of the two-to-four amplitude in the invariant mass of two produced gluons is is presented.
| 8.605941
| 8.669386
| 8.652466
| 7.76125
| 8.288781
| 9.348199
| 7.948347
| 8.21733
| 7.792629
| 9.342208
| 7.285562
| 7.919546
| 8.274153
| 7.884043
| 7.910078
| 7.693366
| 7.680696
| 8.090286
| 7.650797
| 7.697146
| 7.779525
|
hep-th/0311230
|
Cristiano Germani
|
Cristiano Germani
|
Astrophysical and Cosmological Consequences of the Dynamical
Localization of Gravity
|
PhD thesis, ICG University of Portsmouth (UK); 106+14 pages, 5
figures; v2 reference added
| null | null | null |
hep-th astro-ph gr-qc
| null |
In this thesis I review cosmological and astrophysical exact models for
Randall-Sundrum-type braneworlds and their physical implications. I present new
insights and show their analogies with quantum theories via the holographic
idea. In astrophysics I study the two fundamental models of a spherically
symmetric static star and spherically symmetric collapsing objects. I show how
matching for the pressure of a static star encodes braneworld effects. In
addition I study the problem of the vacuum exterior conjecturing a uniqueness
theorem. Furthermore I show that a collapsing dust cloud in the braneworld has
a non-static exterior, in contrast to the General Relativistic case. This
non-static behaviour is linked to the presence of a "surplus potential energy"
that must be released, producing a non-zero flux of energy. Via holography this
can be connected with the Hawking process, giving an indirect measure of the
brane tension. In cosmology I investigate the generalization of the
Randall-Sundrum-type model obtained by introducing the Gauss-Bonnet combination
into the action. I elucidate the junction conditions necessary to study the
brane model and obtain the cosmological dynamics, showing that, even in the
thin shell limit for the brane, the Gauss-Bonnet term implies a non-trivial
internal structure for the matter and geometry distributions. Independently of
the gravitational theory used, I show how to derive the modified Friedman
equation and how it is related to the black hole solution of the theory. Via
holography I also show how to interpret quantum mechanically the mass of this
black hole from a four-dimensional perspective in the simplest
Randall-Sundrum-type scenario.
|
[
{
"created": "Mon, 24 Nov 2003 17:56:16 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Dec 2003 11:47:38 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Germani",
"Cristiano",
""
]
] |
In this thesis I review cosmological and astrophysical exact models for Randall-Sundrum-type braneworlds and their physical implications. I present new insights and show their analogies with quantum theories via the holographic idea. In astrophysics I study the two fundamental models of a spherically symmetric static star and spherically symmetric collapsing objects. I show how matching for the pressure of a static star encodes braneworld effects. In addition I study the problem of the vacuum exterior conjecturing a uniqueness theorem. Furthermore I show that a collapsing dust cloud in the braneworld has a non-static exterior, in contrast to the General Relativistic case. This non-static behaviour is linked to the presence of a "surplus potential energy" that must be released, producing a non-zero flux of energy. Via holography this can be connected with the Hawking process, giving an indirect measure of the brane tension. In cosmology I investigate the generalization of the Randall-Sundrum-type model obtained by introducing the Gauss-Bonnet combination into the action. I elucidate the junction conditions necessary to study the brane model and obtain the cosmological dynamics, showing that, even in the thin shell limit for the brane, the Gauss-Bonnet term implies a non-trivial internal structure for the matter and geometry distributions. Independently of the gravitational theory used, I show how to derive the modified Friedman equation and how it is related to the black hole solution of the theory. Via holography I also show how to interpret quantum mechanically the mass of this black hole from a four-dimensional perspective in the simplest Randall-Sundrum-type scenario.
| 11.960316
| 12.401332
| 12.018475
| 11.780993
| 12.967146
| 12.955435
| 13.713116
| 12.219278
| 12.490701
| 12.939219
| 11.917811
| 11.71574
| 11.618965
| 11.698736
| 12.019032
| 11.911087
| 11.759169
| 11.78238
| 12.096786
| 11.926393
| 11.795469
|
2206.05781
|
Georgios Pastras
|
Dimitrios Katsinis and Georgios Pastras
|
Entanglement in harmonic systems at coherent states
|
30 pages
| null | null | null |
hep-th quant-ph
|
http://creativecommons.org/licenses/by/4.0/
|
It is well-known that entanglement entropy in field theory at its ground
state is dominated by an area law term, presenting a similarity to the entropy
of black holes. It is interesting to investigate whether this similarity can be
extended by showing that gravitational dynamics emerges from the first law of
entanglement thermodynamics. Answering this question requires the specification
of the modular Hamiltonian. Motivated by the above, we study entanglement in
the toy model of harmonic systems lying at any classicalmost state, i.e. any
coherent state. We specify explicitly the reduced density matrix and its
time-evolution, as well as the modular Hamiltonian. Interestingly, the time
evolution is unitary and we specify the effective Hamiltonian which generates
it. Our results provide the tools to investigate the similarity between gravity
and entanglement in discretized free scalar field theory in the framework of
(Phys Rev Lett 71:666, 1993).
|
[
{
"created": "Sun, 12 Jun 2022 16:25:27 GMT",
"version": "v1"
}
] |
2022-06-14
|
[
[
"Katsinis",
"Dimitrios",
""
],
[
"Pastras",
"Georgios",
""
]
] |
It is well-known that entanglement entropy in field theory at its ground state is dominated by an area law term, presenting a similarity to the entropy of black holes. It is interesting to investigate whether this similarity can be extended by showing that gravitational dynamics emerges from the first law of entanglement thermodynamics. Answering this question requires the specification of the modular Hamiltonian. Motivated by the above, we study entanglement in the toy model of harmonic systems lying at any classicalmost state, i.e. any coherent state. We specify explicitly the reduced density matrix and its time-evolution, as well as the modular Hamiltonian. Interestingly, the time evolution is unitary and we specify the effective Hamiltonian which generates it. Our results provide the tools to investigate the similarity between gravity and entanglement in discretized free scalar field theory in the framework of (Phys Rev Lett 71:666, 1993).
| 12.238464
| 12.762792
| 12.818682
| 11.648835
| 12.589311
| 12.268468
| 12.181022
| 11.929649
| 11.815994
| 13.057823
| 11.916095
| 11.745049
| 12.092494
| 12.252967
| 11.806954
| 11.692336
| 11.938387
| 11.664576
| 12.294981
| 12.610198
| 11.992644
|
2307.00832
|
Aritra Ghosh
|
Aritra Ghosh
|
Statistical ensembles and logarithmic corrections to black hole entropy
| null |
Class. Quant. Grav. 40, 155013 (2023)
|
10.1088/1361-6382/acdbfe
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we consider general statistical ensembles and compute
logarithmic corrections to the microcanonical entropy resulting due to
thermodynamic fluctuations which are controlled by the boundary conditions,
i.e. due to choice of ensemble. The framework is applied to the case of
non-extremal black holes to give certain logarithmic corrections to the
Bekenstein-Hawking entropy. We argue that within the framework of black hole
chemistry, where the cosmological constant is identified with bulk pressure,
the isoenthalpic-isobaric entropy rather than microcanonical entropy carries a
more natural and consistent thermodynamic interpretation as black hole entropy.
Logarithmic corrections to both microcanonical and isoenthalpic-isobaric
entropies of black holes are computed, and we show that the latter set of
corrections in black hole chemistry are of the same form as corrections to the
microcanonical entropy in theories where the cosmological constant is not
interpreted as a thermodynamic pressure. Finally, we compute logarithmic
corrections to entropy in the framework of holographic black hole chemistry. We
emphasize upon the choice of statistical ensemble, both in the bulk and on the
boundary, in order to have a consistent comparison between them. The
corrections studied in this paper are distinct from those obtained from
Euclidean quantum gravity.
|
[
{
"created": "Mon, 3 Jul 2023 08:17:50 GMT",
"version": "v1"
}
] |
2023-07-17
|
[
[
"Ghosh",
"Aritra",
""
]
] |
In this paper, we consider general statistical ensembles and compute logarithmic corrections to the microcanonical entropy resulting due to thermodynamic fluctuations which are controlled by the boundary conditions, i.e. due to choice of ensemble. The framework is applied to the case of non-extremal black holes to give certain logarithmic corrections to the Bekenstein-Hawking entropy. We argue that within the framework of black hole chemistry, where the cosmological constant is identified with bulk pressure, the isoenthalpic-isobaric entropy rather than microcanonical entropy carries a more natural and consistent thermodynamic interpretation as black hole entropy. Logarithmic corrections to both microcanonical and isoenthalpic-isobaric entropies of black holes are computed, and we show that the latter set of corrections in black hole chemistry are of the same form as corrections to the microcanonical entropy in theories where the cosmological constant is not interpreted as a thermodynamic pressure. Finally, we compute logarithmic corrections to entropy in the framework of holographic black hole chemistry. We emphasize upon the choice of statistical ensemble, both in the bulk and on the boundary, in order to have a consistent comparison between them. The corrections studied in this paper are distinct from those obtained from Euclidean quantum gravity.
| 7.615272
| 7.870892
| 7.345176
| 7.253472
| 7.831999
| 7.717805
| 8.222603
| 7.289917
| 7.696721
| 8.035301
| 7.616354
| 7.290597
| 7.246829
| 7.143648
| 7.15936
| 7.397113
| 7.329539
| 7.355156
| 7.23146
| 7.425358
| 7.4432
|
1105.3998
|
Per Kraus
|
Eric D'Hoker and Per Kraus
|
Charged Magnetic Brane Correlators and Twisted Virasoro Algebras
|
67 pages
| null |
10.1103/PhysRevD.84.065010
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Prior work using gauge/gravity duality has established the existence of a
quantum critical point in the phase diagram of 3+1-dimensional gauge theories
at finite charge density and background magnetic field. The critical theory,
obtained by tuning the dimensionless charge density to magnetic field ratio,
exhibits nontrivial scaling in its thermodynamic properties, and an associated
nontrivial dynamical critical exponent. In the present work, we analytically
compute low energy correlation functions in the background of the charged
magnetic brane solution to 4+1-dimensional Einstein-Maxwell-Chern-Simons
theory, which represents the bulk description of the critical point. Results
are obtained for neutral scalar operators, the stress tensor, and the
U(1)-current. The theory is found to exhibit a twisted Virasoro algebra,
constructed from a linear combination of the original stress tensor and chiral
U(1)-current. The effective speed of light in the IR is renormalized downward
for one chirality, but not the other, by finite density, a behavior that is
consistent with a Luttinger liquid description of fermions in the lowest Landau
level. The results obtained here do not directly shed light on the mechanism
driving the phase transition, and we comment on why this is so.
|
[
{
"created": "Thu, 19 May 2011 23:10:07 GMT",
"version": "v1"
}
] |
2013-05-29
|
[
[
"D'Hoker",
"Eric",
""
],
[
"Kraus",
"Per",
""
]
] |
Prior work using gauge/gravity duality has established the existence of a quantum critical point in the phase diagram of 3+1-dimensional gauge theories at finite charge density and background magnetic field. The critical theory, obtained by tuning the dimensionless charge density to magnetic field ratio, exhibits nontrivial scaling in its thermodynamic properties, and an associated nontrivial dynamical critical exponent. In the present work, we analytically compute low energy correlation functions in the background of the charged magnetic brane solution to 4+1-dimensional Einstein-Maxwell-Chern-Simons theory, which represents the bulk description of the critical point. Results are obtained for neutral scalar operators, the stress tensor, and the U(1)-current. The theory is found to exhibit a twisted Virasoro algebra, constructed from a linear combination of the original stress tensor and chiral U(1)-current. The effective speed of light in the IR is renormalized downward for one chirality, but not the other, by finite density, a behavior that is consistent with a Luttinger liquid description of fermions in the lowest Landau level. The results obtained here do not directly shed light on the mechanism driving the phase transition, and we comment on why this is so.
| 7.454092
| 7.168081
| 8.083985
| 7.35422
| 7.509953
| 6.816285
| 7.674232
| 7.711706
| 7.561668
| 8.971375
| 7.287147
| 6.964618
| 7.465795
| 7.053975
| 6.999035
| 7.014894
| 7.116572
| 7.126726
| 7.050762
| 7.063972
| 7.037704
|
0809.2684
|
C. P. Martin
|
C.P. Martin and C. Tamarit (Universidad Complutense de Madrid)
|
The Seiberg-Witten map and supersymmetry
|
28 pages. No figures
|
JHEP0811:087,2008
|
10.1088/1126-6708/2008/11/087
|
FTI/UCM 133-2008
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The lack of any local solution to the first-order-in-h omegamn Seiberg-Witten
(SW) map equations for U(1) vector superfields compels us to obtain the most
general solution to those equations that is a quadratic polynomial in the
ordinary vector superfield, v, its chiral and antichiral projections and the
susy covariant derivatives of them all. Furnished with this solution, which is
local in the susy Landau gauge, we construct an ordinary dual of noncommutative
U(1) SYM in terms of ordinary fields which carry a linear representation of the
N=1 susy algebra. By using the standard SW map for the N=1 U(1) gauge
supermultiplet we define an ordinary U(1) gauge theory which is dual to
noncommutative U(1) SYM in the WZ gauge. We show that the ordinary dual so
obtained is supersymmetric, for, as we prove as we go along, the ordinary gauge
and fermion fields that we use to define it carry a nonlinear representation of
the N=1 susy algebra. We finally show that the two ordinary duals of
noncommutative U(1) SYM introduced above are actually the same N=1 susy gauge
theory. We also show in this paper that the standard SW map is never the theta
theta--bar component of a local superfield in v and check that, at least at a
given approximation, a suitable field redefinition of that map makes the
noncommutative and ordinary --in a Bmn field-- susy U(1) DBI actions
equivalent.
|
[
{
"created": "Tue, 16 Sep 2008 16:28:24 GMT",
"version": "v1"
}
] |
2008-12-18
|
[
[
"Martin",
"C. P.",
"",
"Universidad Complutense de Madrid"
],
[
"Tamarit",
"C.",
"",
"Universidad Complutense de Madrid"
]
] |
The lack of any local solution to the first-order-in-h omegamn Seiberg-Witten (SW) map equations for U(1) vector superfields compels us to obtain the most general solution to those equations that is a quadratic polynomial in the ordinary vector superfield, v, its chiral and antichiral projections and the susy covariant derivatives of them all. Furnished with this solution, which is local in the susy Landau gauge, we construct an ordinary dual of noncommutative U(1) SYM in terms of ordinary fields which carry a linear representation of the N=1 susy algebra. By using the standard SW map for the N=1 U(1) gauge supermultiplet we define an ordinary U(1) gauge theory which is dual to noncommutative U(1) SYM in the WZ gauge. We show that the ordinary dual so obtained is supersymmetric, for, as we prove as we go along, the ordinary gauge and fermion fields that we use to define it carry a nonlinear representation of the N=1 susy algebra. We finally show that the two ordinary duals of noncommutative U(1) SYM introduced above are actually the same N=1 susy gauge theory. We also show in this paper that the standard SW map is never the theta theta--bar component of a local superfield in v and check that, at least at a given approximation, a suitable field redefinition of that map makes the noncommutative and ordinary --in a Bmn field-- susy U(1) DBI actions equivalent.
| 10.482314
| 11.400783
| 11.203531
| 10.530055
| 10.622791
| 10.668303
| 10.49802
| 10.838267
| 11.069564
| 12.234164
| 10.413556
| 9.626194
| 10.68983
| 10.118705
| 10.541207
| 10.538863
| 10.197143
| 10.55388
| 10.120649
| 11.02456
| 10.160652
|
1106.4353
|
Bin Wang
|
Yunqi Liu, Qiyuan Pan, Bin Wang
|
Holographic superconductor developed in BTZ black hole background with
backreactions
|
accepted for publication in Phys.Lett.B
| null |
10.1016/j.physletb.2011.06.062
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We develop a holographic superconductor in BTZ black hole background with
backreactions. We investigate the influence of the backreaction on the
condensation of the scalar hair and the dynamics of perturbation in the
background spacetime. When the Breitenlohner-Freedman bound is approached, we
argue that only one of two possible operators can reflect the real property of
the condensation in the holographic superconductor. This argument is supported
by the investigation in dynamics.
|
[
{
"created": "Wed, 22 Jun 2011 00:31:45 GMT",
"version": "v1"
}
] |
2015-05-28
|
[
[
"Liu",
"Yunqi",
""
],
[
"Pan",
"Qiyuan",
""
],
[
"Wang",
"Bin",
""
]
] |
We develop a holographic superconductor in BTZ black hole background with backreactions. We investigate the influence of the backreaction on the condensation of the scalar hair and the dynamics of perturbation in the background spacetime. When the Breitenlohner-Freedman bound is approached, we argue that only one of two possible operators can reflect the real property of the condensation in the holographic superconductor. This argument is supported by the investigation in dynamics.
| 8.598729
| 7.411739
| 8.061971
| 7.827465
| 8.096778
| 7.786049
| 7.624857
| 7.114307
| 7.828781
| 7.902518
| 7.380253
| 8.177715
| 8.560637
| 8.250203
| 8.210205
| 8.463844
| 8.347229
| 8.531602
| 8.282916
| 8.555766
| 8.327434
|
hep-th/9811032
|
Helia Hollmann
|
I. Gaida, H. R. Hollmann, J. M. Stewart (Cambridge U., DAMTP)
|
Classical and Quantum Analysis of Repulsive Singularities in Four
Dimensional Extended Supergravity
|
20 pages, 14 figures
|
Class.Quant.Grav. 16 (1999) 2231-2246
|
10.1088/0264-9381/16/7/306
|
DAMTP-R-98-29
|
hep-th gr-qc
| null |
Non--minimal repulsive singularities (``repulsons'') in extended supergravity
theories are investigated. The short distance antigravity properties of the
repulsons are tested at the classical and the quantum level by a scalar
test--particle. Using a partial wave expansion it is shown that the particle
gets totally reflected at the origin. A high frequency incoming particle
undergoes a phase shift of $\frac{\pi}{2}$. However, the phase shift for a
low--frequency particle depends upon the physical data of the repulson. The
curvature singularity at a finite distance $r_h$ turns out to be transparent
for the scalar test--particle and the coordinate singularity at the origin
serves as a repulsive barrier at which particles bounce off.
|
[
{
"created": "Tue, 3 Nov 1998 09:25:29 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Gaida",
"I.",
"",
"Cambridge U., DAMTP"
],
[
"Hollmann",
"H. R.",
"",
"Cambridge U., DAMTP"
],
[
"Stewart",
"J. M.",
"",
"Cambridge U., DAMTP"
]
] |
Non--minimal repulsive singularities (``repulsons'') in extended supergravity theories are investigated. The short distance antigravity properties of the repulsons are tested at the classical and the quantum level by a scalar test--particle. Using a partial wave expansion it is shown that the particle gets totally reflected at the origin. A high frequency incoming particle undergoes a phase shift of $\frac{\pi}{2}$. However, the phase shift for a low--frequency particle depends upon the physical data of the repulson. The curvature singularity at a finite distance $r_h$ turns out to be transparent for the scalar test--particle and the coordinate singularity at the origin serves as a repulsive barrier at which particles bounce off.
| 12.686223
| 11.902997
| 12.49013
| 11.005668
| 11.026067
| 13.030191
| 12.999145
| 12.410771
| 11.475135
| 13.092241
| 11.382719
| 11.42065
| 11.775646
| 11.305377
| 11.814819
| 11.786072
| 11.662986
| 11.679111
| 11.628631
| 11.786148
| 11.141312
|
hep-th/9707006
| null |
Alexander A.Vlasov
|
Classical Electrodynamics: Problems of Radiation Reaction
|
18 pages, LATEX
|
enlarged version of talk given at XX International Workshop on the
Fundamental Problems of High Energy Physics and Field Theory, 24-26 June
1997, Protvino, Russia
| null | null |
hep-th
| null |
There are known problems of Lorentz-Dirac equation for moving with
acceleration charged particle in classical electrodynamics. The model of
extended in one dimension particle is proposed and shown that electromagnetic
self-interaction can lead (with appropriate choice of retarded and advanced
interactions) to zero change in particle momentum. The hypothesis is
formulated: all relativistic internal forces of various nature can give zero
change in particle momentum
|
[
{
"created": "Tue, 1 Jul 1997 09:26:22 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Vlasov",
"Alexander A.",
""
]
] |
There are known problems of Lorentz-Dirac equation for moving with acceleration charged particle in classical electrodynamics. The model of extended in one dimension particle is proposed and shown that electromagnetic self-interaction can lead (with appropriate choice of retarded and advanced interactions) to zero change in particle momentum. The hypothesis is formulated: all relativistic internal forces of various nature can give zero change in particle momentum
| 20.525255
| 25.904322
| 19.955679
| 18.884794
| 20.25695
| 22.484955
| 22.047274
| 20.385687
| 21.643602
| 19.504597
| 20.088535
| 21.367918
| 19.246748
| 19.540148
| 21.018179
| 20.631765
| 20.87923
| 19.720644
| 20.393108
| 18.86647
| 20.028193
|
hep-th/9308090
| null |
\Mary K. Gaillard and Vidyut Jain
|
Supergravity Coupled to Chiral Matter at One Loop
|
33 pages, LBL-34457, UCB-PTH-93-22
|
Phys.Rev. D49 (1994) 1951-1965
|
10.1103/PhysRevD.49.1951
| null |
hep-th hep-ph
| null |
We extend earlier calculations of the one-loop contributions to the effective
bose Lagrangian in supergravity coupled to chiral matter. We evaluate all
logarithmically divergent contributions for arbitrary background scalar fields
and space-time metric. We show that, with a judicious choice of gauge fixing
and of the definition of the action expansion, much of the result can be
absorbed into a redefinition of the metric and a renormalization of the
K\"ahler potential. Most of the remaining terms depend on the curvature of the
K\"ahler metric. Further simplification occurs in models obtained from
superstrings in which the K\"ahler Riemann tensor is covariantly constant.
|
[
{
"created": "Wed, 18 Aug 1993 21:50:39 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Gaillard",
"\\Mary K.",
""
],
[
"Jain",
"Vidyut",
""
]
] |
We extend earlier calculations of the one-loop contributions to the effective bose Lagrangian in supergravity coupled to chiral matter. We evaluate all logarithmically divergent contributions for arbitrary background scalar fields and space-time metric. We show that, with a judicious choice of gauge fixing and of the definition of the action expansion, much of the result can be absorbed into a redefinition of the metric and a renormalization of the K\"ahler potential. Most of the remaining terms depend on the curvature of the K\"ahler metric. Further simplification occurs in models obtained from superstrings in which the K\"ahler Riemann tensor is covariantly constant.
| 7.620884
| 7.780282
| 7.913562
| 7.328635
| 8.079202
| 7.513943
| 7.598271
| 7.498165
| 7.34567
| 8.175585
| 7.331697
| 7.195624
| 7.576173
| 7.12547
| 7.135058
| 7.238153
| 7.061464
| 7.389109
| 7.136796
| 7.833185
| 7.213266
|
hep-th/9311168
|
Christoph Schweigert
|
Christoph Schweigert
|
Poincare Polynomials and Level Rank Dualities in the $N=2$ Coset
Construction
|
14 pages in LaTeX, HD-THEP-93-43
|
Theor.Math.Phys. 98 (1994) 326-334; Teor.Mat.Fiz. 98 (1994)
467-478
|
10.1007/BF01102209
| null |
hep-th
| null |
We review the coset construction of conformal field theories; the emphasis is
on the construction of the Hilbert spaces for these models, especially if fixed
points occur. This is applied to the $N=2$ superconformal cosets constructed by
Kazama and Suzuki. To calculate heterotic string spectra we reformulate the
Gepner con- struction in terms of simple currents and introduce the so-called
extended Poincar\'e polynomial. We finally comment on the various equivalences
arising between models of this class, which can be expressed as level rank
dualities. (Invited talk given at the III. International Conference on
Mathematical Physics, String Theory and Quantum Gravity, Alushta, Ukraine, June
1993. To appear in Theor. Math. Phys.)
|
[
{
"created": "Mon, 29 Nov 1993 14:12:31 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Schweigert",
"Christoph",
""
]
] |
We review the coset construction of conformal field theories; the emphasis is on the construction of the Hilbert spaces for these models, especially if fixed points occur. This is applied to the $N=2$ superconformal cosets constructed by Kazama and Suzuki. To calculate heterotic string spectra we reformulate the Gepner con- struction in terms of simple currents and introduce the so-called extended Poincar\'e polynomial. We finally comment on the various equivalences arising between models of this class, which can be expressed as level rank dualities. (Invited talk given at the III. International Conference on Mathematical Physics, String Theory and Quantum Gravity, Alushta, Ukraine, June 1993. To appear in Theor. Math. Phys.)
| 9.867105
| 7.738917
| 11.39898
| 8.133923
| 7.764624
| 7.577533
| 7.444664
| 7.674853
| 7.824082
| 12.397741
| 8.094795
| 8.607327
| 10.066414
| 8.501848
| 8.822476
| 8.477555
| 8.699846
| 8.415859
| 8.813764
| 9.913606
| 8.578355
|
hep-th/0512139
|
Forough Nasseri
|
Forough Nasseri
|
Time variation of the gravitational coupling constant in decrumpling
cosmology
|
11 pages
| null | null | null |
hep-th
| null |
Within the framework of a model universe with time variable space dimension
(TVSD) model, known as decrumpling or TVSD model, we study the time variation
of the gravitational coupling constant. Using observational bounds on the
present time variation of the gravitational Newton's constant in
three-dimensional space we are able to obtain a constraint on the time
variation of the gravitational coupling constant. As a result, the absolute
value of the time variation of the gravitational coupling constant must be less
than $\sim 10^{-11} {\rm yr}^{-1}$.
|
[
{
"created": "Tue, 13 Dec 2005 11:04:33 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Apr 2006 16:12:15 GMT",
"version": "v2"
},
{
"created": "Thu, 18 Oct 2007 15:33:03 GMT",
"version": "v3"
}
] |
2007-10-18
|
[
[
"Nasseri",
"Forough",
""
]
] |
Within the framework of a model universe with time variable space dimension (TVSD) model, known as decrumpling or TVSD model, we study the time variation of the gravitational coupling constant. Using observational bounds on the present time variation of the gravitational Newton's constant in three-dimensional space we are able to obtain a constraint on the time variation of the gravitational coupling constant. As a result, the absolute value of the time variation of the gravitational coupling constant must be less than $\sim 10^{-11} {\rm yr}^{-1}$.
| 8.102397
| 5.078004
| 6.716227
| 5.569993
| 5.332122
| 5.244657
| 5.057997
| 4.980711
| 5.289766
| 7.892942
| 5.834372
| 6.897774
| 7.419671
| 6.967271
| 7.089635
| 6.869818
| 6.777055
| 6.58433
| 7.003976
| 7.092812
| 6.641777
|
1203.6281
|
Gang Chen
|
Gang Chen
|
Ward Identity implied recursion relations in Yang-Mills theory
|
10 pages, 3 figures
| null |
10.1103/PhysRevD.86.027701
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Ward identity in gauge theory constrains the behavior of the amplitudes.
We discuss the Ward identity for amplitudes with a pair of shifted lines with
complex momenta. This will induce a recursion relation identical to BCFW
recursion relations at the finite poles of the complexified amplitudes.
Furthermore, according to the Ward identity, it is also possible to transform
the boundary term into a simple form, which can be obtained by a new recursion
relation. For the amplitude with one off-shell line in pure Yang-Mills theory,
we find this technique is effective for obtaining the amplitude even when there
are boundary contributions.
|
[
{
"created": "Wed, 28 Mar 2012 14:36:33 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Apr 2012 11:31:59 GMT",
"version": "v2"
}
] |
2013-05-30
|
[
[
"Chen",
"Gang",
""
]
] |
The Ward identity in gauge theory constrains the behavior of the amplitudes. We discuss the Ward identity for amplitudes with a pair of shifted lines with complex momenta. This will induce a recursion relation identical to BCFW recursion relations at the finite poles of the complexified amplitudes. Furthermore, according to the Ward identity, it is also possible to transform the boundary term into a simple form, which can be obtained by a new recursion relation. For the amplitude with one off-shell line in pure Yang-Mills theory, we find this technique is effective for obtaining the amplitude even when there are boundary contributions.
| 12.894899
| 12.349771
| 12.00425
| 11.221118
| 11.203668
| 12.230613
| 10.214957
| 11.591691
| 11.680639
| 12.840986
| 11.510817
| 11.358561
| 11.848639
| 11.800187
| 11.79421
| 11.414376
| 11.651127
| 11.303665
| 11.707053
| 11.504715
| 11.628014
|
0708.3933
|
Gregory Korchemsky
|
B. Basso, G. P. Korchemsky, J. Kotanski
|
Cusp anomalous dimension in maximally supersymmetric Yang-Mills theory
at strong coupling
|
5 pages. v3: minor corrections, references and important note added
|
Phys.Rev.Lett.100:091601, 2008
|
10.1103/PhysRevLett.100.091601
|
LPT-Orsay-07-74
|
hep-th hep-ph
| null |
We construct an exact analytical solution to the integral equation which is
believed to describe logarithmic growth of the anomalous dimensions of high
spin operators in planar N=4 super Yang-Mills theory and use it to determine
the strong coupling expansion of the cusp anomalous dimension.
|
[
{
"created": "Wed, 29 Aug 2007 10:58:08 GMT",
"version": "v1"
},
{
"created": "Sun, 2 Sep 2007 06:30:06 GMT",
"version": "v2"
},
{
"created": "Thu, 24 Jan 2008 08:10:57 GMT",
"version": "v3"
}
] |
2011-01-28
|
[
[
"Basso",
"B.",
""
],
[
"Korchemsky",
"G. P.",
""
],
[
"Kotanski",
"J.",
""
]
] |
We construct an exact analytical solution to the integral equation which is believed to describe logarithmic growth of the anomalous dimensions of high spin operators in planar N=4 super Yang-Mills theory and use it to determine the strong coupling expansion of the cusp anomalous dimension.
| 7.103901
| 5.749059
| 6.831248
| 5.228742
| 5.470266
| 5.785821
| 5.543973
| 5.767746
| 5.70022
| 5.306513
| 5.242527
| 5.507928
| 6.396369
| 5.509034
| 5.861762
| 5.58476
| 5.598293
| 5.751482
| 5.408793
| 6.363191
| 5.65625
|
2312.17126
|
Zheyan Wan
|
Zheyan Wan, Juven Wang, Shing-Tung Yau, Yi-Zhuang You
|
C-R-T Fractionalization, Fermions, and Mod 8 Periodicity
|
39 pages, 5 figures, 17 tables, see C-P-T fractionalization in
arXiv:2109.15320, and an application of domain wall dimensional reduction in
arXiv:2312.14928
| null | null | null |
hep-th cond-mat.str-el hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
Charge conjugation (C), mirror reflection (R), time reversal (T), and fermion
parity $(-1)^{\rm F}$ are basic discrete spacetime and internal symmetries of
the Dirac fermions. In this article, we determine the group, called the C-R-T
fractionalization, which is a group extension of $\mathbb{Z}_2^{\rm
C}\times\mathbb{Z}_2^{\rm R}\times\mathbb{Z}_2^{\rm T}$ by the fermion parity
$\mathbb{Z}_2^{\rm F}$, and its extension class in all spacetime dimensions
$d$, for a single-particle fermion theory. For Dirac fermions, with the
canonical CRT symmetry $\mathbb{Z}_2^{\rm CRT}$, the C-R-T fractionalization
has two possibilities that only depend on spacetime dimensions $d$ modulo 8,
which are order-16 nonabelian groups, including the famous Pauli group. For
Majorana fermions, we determine the R-T fractionalization in all spacetime
dimensions $d=0,1,2,3,4\mod8$, which is an order-8 abelian or nonabelian group.
For Weyl fermions, we determine the C or T fractionalization in all even
spacetime dimensions $d$, which is an order-4 abelian group. For Majorana-Weyl
fermions, we only have an order-2 $\mathbb{Z}_2^{\rm F}$ group. We discuss how
the Dirac and Majorana mass terms break the symmetries C, R, or T. We study the
domain wall dimensional reduction of the fermions and their C-R-T
fractionalization: from $d$-dim Dirac to $(d-1)$-dim Dirac or Weyl; and from
$d$-dim Majorana to $(d-1)$-dim Majorana or Majorana-Weyl.
|
[
{
"created": "Thu, 28 Dec 2023 17:04:36 GMT",
"version": "v1"
}
] |
2024-01-19
|
[
[
"Wan",
"Zheyan",
""
],
[
"Wang",
"Juven",
""
],
[
"Yau",
"Shing-Tung",
""
],
[
"You",
"Yi-Zhuang",
""
]
] |
Charge conjugation (C), mirror reflection (R), time reversal (T), and fermion parity $(-1)^{\rm F}$ are basic discrete spacetime and internal symmetries of the Dirac fermions. In this article, we determine the group, called the C-R-T fractionalization, which is a group extension of $\mathbb{Z}_2^{\rm C}\times\mathbb{Z}_2^{\rm R}\times\mathbb{Z}_2^{\rm T}$ by the fermion parity $\mathbb{Z}_2^{\rm F}$, and its extension class in all spacetime dimensions $d$, for a single-particle fermion theory. For Dirac fermions, with the canonical CRT symmetry $\mathbb{Z}_2^{\rm CRT}$, the C-R-T fractionalization has two possibilities that only depend on spacetime dimensions $d$ modulo 8, which are order-16 nonabelian groups, including the famous Pauli group. For Majorana fermions, we determine the R-T fractionalization in all spacetime dimensions $d=0,1,2,3,4\mod8$, which is an order-8 abelian or nonabelian group. For Weyl fermions, we determine the C or T fractionalization in all even spacetime dimensions $d$, which is an order-4 abelian group. For Majorana-Weyl fermions, we only have an order-2 $\mathbb{Z}_2^{\rm F}$ group. We discuss how the Dirac and Majorana mass terms break the symmetries C, R, or T. We study the domain wall dimensional reduction of the fermions and their C-R-T fractionalization: from $d$-dim Dirac to $(d-1)$-dim Dirac or Weyl; and from $d$-dim Majorana to $(d-1)$-dim Majorana or Majorana-Weyl.
| 4.463328
| 4.404744
| 4.637433
| 4.47236
| 4.52779
| 4.684536
| 4.602247
| 4.50258
| 4.35472
| 5.056184
| 4.482791
| 4.321926
| 4.459164
| 4.272992
| 4.330196
| 4.271563
| 4.337599
| 4.336481
| 4.293643
| 4.510507
| 4.348484
|
hep-th/0004081
|
Christian Hilmoine
|
Christian Hilmoine, Rune Niclasen
|
The Microscopic Spectral Density of the Dirac Operator derived from
Gaussian Orthogonal and Symplectic Ensembles
|
35 pages, 8 figures, Some equations simplified
|
Phys.Rev. D62 (2000) 096013
|
10.1103/PhysRevD.62.096013
| null |
hep-th
| null |
The microscopic spectral correlations of the Dirac operator in Yang-Mills
theories coupled to fermions in (2+1) dimensions can be related to three
universality classes of Random Matrix Theory. In the microscopic limit the
Orthogonal Ensemble (OE) corresponds to a theory with 2 colors and fermions in
the fundamental representation and the Symplectic Ensemble (SE) corresponds to
an arbitrary number of colors and fermions in the adjoint representation. Using
a new method of Widom, we derive an expression for the two scalar kernels which
through quaternion determinants give all spectral correlation functions in the
Gaussian Orthogonal Ensemble (GOE) and in the the Gaussian Symplectic Ensemble
(GSE) with all fermion masses equal to zero. The result for the GOE is valid
for an arbitrary number of fermions while for the GSE we have results for an
even number of fermions.
|
[
{
"created": "Tue, 11 Apr 2000 19:45:19 GMT",
"version": "v1"
},
{
"created": "Fri, 12 May 2000 11:09:48 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Hilmoine",
"Christian",
""
],
[
"Niclasen",
"Rune",
""
]
] |
The microscopic spectral correlations of the Dirac operator in Yang-Mills theories coupled to fermions in (2+1) dimensions can be related to three universality classes of Random Matrix Theory. In the microscopic limit the Orthogonal Ensemble (OE) corresponds to a theory with 2 colors and fermions in the fundamental representation and the Symplectic Ensemble (SE) corresponds to an arbitrary number of colors and fermions in the adjoint representation. Using a new method of Widom, we derive an expression for the two scalar kernels which through quaternion determinants give all spectral correlation functions in the Gaussian Orthogonal Ensemble (GOE) and in the the Gaussian Symplectic Ensemble (GSE) with all fermion masses equal to zero. The result for the GOE is valid for an arbitrary number of fermions while for the GSE we have results for an even number of fermions.
| 6.716854
| 6.13443
| 7.271957
| 6.20036
| 6.15789
| 6.308689
| 6.24838
| 6.258484
| 6.231
| 6.942627
| 5.963346
| 6.242369
| 6.49447
| 6.081031
| 6.113515
| 6.250956
| 6.082644
| 6.171546
| 6.017528
| 6.387759
| 6.024915
|
1109.5121
|
Jean-Francois Dufaux
|
Jean-Francois Dufaux
|
Constraints on Cosmic Super-Strings from Kaluza-Klein Emission
|
v3: misprints corrected and refs. added, to appear in PRL
|
Phys. Rev. Lett. 109, 011601 (2012)
|
10.1103/PhysRevLett.109.011601
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Cosmic super-strings interact generically with a tower of light and/or
strongly coupled Kaluza-Klein (KK) modes associated with the geometry of the
internal space. We study the production of KK particles by cosmic super-string
loops, and show that it is constrained by Big Bang Nucleosynthesis. We study
the resulting constraints in the parameter space of the underlying string
theory model and highlight their complementarity with the regions that can be
probed by current and upcoming gravitational wave experiments.
|
[
{
"created": "Fri, 23 Sep 2011 16:13:22 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Jan 2012 18:50:29 GMT",
"version": "v2"
},
{
"created": "Fri, 29 Jun 2012 15:39:16 GMT",
"version": "v3"
}
] |
2012-07-20
|
[
[
"Dufaux",
"Jean-Francois",
""
]
] |
Cosmic super-strings interact generically with a tower of light and/or strongly coupled Kaluza-Klein (KK) modes associated with the geometry of the internal space. We study the production of KK particles by cosmic super-string loops, and show that it is constrained by Big Bang Nucleosynthesis. We study the resulting constraints in the parameter space of the underlying string theory model and highlight their complementarity with the regions that can be probed by current and upcoming gravitational wave experiments.
| 9.286269
| 7.102218
| 7.650615
| 7.235282
| 8.929447
| 8.089066
| 9.182302
| 7.729312
| 7.467979
| 9.233044
| 7.574175
| 8.035837
| 8.471395
| 7.685121
| 8.233177
| 8.273808
| 8.546382
| 8.216971
| 7.904683
| 8.301599
| 7.958014
|
1911.10171
|
Alexandre Streicher
|
Alexandre Streicher
|
SYK Correlators for All Energies
| null | null |
10.1007/JHEP02(2020)048
| null |
hep-th cond-mat.stat-mech cond-mat.str-el quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Sachdev-Ye-Kitaev (SYK) model, a theory of N Majorana fermions with
q-body interactions, becomes in the large q limit a conformally-broken
Liouville field theory. Taking this limit preserves many interesting properties
of the model, yet makes the theory as a whole much more tractable. Accordingly,
we produce novel expressions for the two and four-point correlators at
arbitrary temperature and find the surprising result they take a universal
closed form. We note that these expressions correctly match onto and
interpolate between previously-obtained low-energy results and simple
high-energy perturbative checks. We find that the time-ordered four-point
correlators are always determined by finite temperature OPEs into the identity
and Hamiltonian, while the out-of-time-order four-point correlators remain
nontrivial and always scramble. This has only been established in the conformal
limit, so to find that it holds for large q at all temperatures/couplings is a
nontrivial result. Finally, we determine the system's thermalization and
scrambling rates and find that they always agree, regardless of temperature.
This adds to the increasing body of evidence that there exists simple
structures in large N internal dynamics, such as those formed by SYK's epidemic
operator growth.
|
[
{
"created": "Fri, 22 Nov 2019 18:11:46 GMT",
"version": "v1"
}
] |
2020-03-18
|
[
[
"Streicher",
"Alexandre",
""
]
] |
The Sachdev-Ye-Kitaev (SYK) model, a theory of N Majorana fermions with q-body interactions, becomes in the large q limit a conformally-broken Liouville field theory. Taking this limit preserves many interesting properties of the model, yet makes the theory as a whole much more tractable. Accordingly, we produce novel expressions for the two and four-point correlators at arbitrary temperature and find the surprising result they take a universal closed form. We note that these expressions correctly match onto and interpolate between previously-obtained low-energy results and simple high-energy perturbative checks. We find that the time-ordered four-point correlators are always determined by finite temperature OPEs into the identity and Hamiltonian, while the out-of-time-order four-point correlators remain nontrivial and always scramble. This has only been established in the conformal limit, so to find that it holds for large q at all temperatures/couplings is a nontrivial result. Finally, we determine the system's thermalization and scrambling rates and find that they always agree, regardless of temperature. This adds to the increasing body of evidence that there exists simple structures in large N internal dynamics, such as those formed by SYK's epidemic operator growth.
| 13.69078
| 14.785062
| 14.819799
| 13.534603
| 14.652732
| 14.15189
| 13.966323
| 14.072886
| 13.90208
| 16.128828
| 13.672936
| 13.410508
| 13.694629
| 13.297984
| 13.621244
| 13.608877
| 13.682471
| 13.484034
| 13.235833
| 13.771274
| 13.188833
|
hep-th/9804163
|
Nobuyuki Ishibashi
|
Nobuyuki Ishibashi (KEK)
|
p-branes from (p-2)-branes in the Bosonic String Theory
|
16 pages, latex. The treatment of boundary interactions is corrected
|
Nucl.Phys. B539 (1999) 107-120
|
10.1016/S0550-3213(98)00718-4
|
KEK-TH-570
|
hep-th
| null |
We show that Dirichlet p-brane can be expressed as a configuration of
infinitely many Dirichlet (p-2)-branes in the bosonic string theory. Using this
fact, we interpret the massless fields on the p-brane worldvolume as
deformations of the configuration of the (p-2)-branes. Especially we find that
the worldvolume gauge field parametrizes part of the group of diffeomorphisms
on the worldvolume.
|
[
{
"created": "Sat, 25 Apr 1998 03:06:00 GMT",
"version": "v1"
},
{
"created": "Fri, 15 May 1998 05:29:02 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Ishibashi",
"Nobuyuki",
"",
"KEK"
]
] |
We show that Dirichlet p-brane can be expressed as a configuration of infinitely many Dirichlet (p-2)-branes in the bosonic string theory. Using this fact, we interpret the massless fields on the p-brane worldvolume as deformations of the configuration of the (p-2)-branes. Especially we find that the worldvolume gauge field parametrizes part of the group of diffeomorphisms on the worldvolume.
| 6.414384
| 4.852944
| 6.166427
| 5.253133
| 5.472672
| 5.241102
| 5.005368
| 5.094011
| 4.870245
| 6.836553
| 4.927062
| 5.171485
| 5.918046
| 5.232748
| 5.366755
| 5.335574
| 5.26232
| 5.399317
| 5.268452
| 6.386059
| 5.173151
|
1207.4753
|
Ulf Lindstr\"om
|
Malin G\"oteman, Ulf Lindstr\"om and Martin Rocek
|
Semichiral Sigma Models with 4D Hyperkaehler Geometry
|
19 pages
| null |
10.1007/JHEP01(2013)073
|
UUITP-14/12 Uppsala; YITP-SB-12-23 Stony Brook
|
hep-th math.DG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Semichiral sigma models with a four-dimensional target space do not support
extended N=(4,4) supersymmetries off-shell arXiv:0903.2376, arXiv:0912.4724. We
contribute towards the understanding of the non-manifest on-shell
transformations in (2,2) superspace by analyzing the extended on-shell
supersymmetry of such models and find that a rather general ansatz for the
additional supersymmetry (not involving central charge transformations) leads
to hyperk\"ahler geometry. We give non-trivial examples of these models.
|
[
{
"created": "Thu, 19 Jul 2012 18:33:06 GMT",
"version": "v1"
}
] |
2015-06-05
|
[
[
"Göteman",
"Malin",
""
],
[
"Lindström",
"Ulf",
""
],
[
"Rocek",
"Martin",
""
]
] |
Semichiral sigma models with a four-dimensional target space do not support extended N=(4,4) supersymmetries off-shell arXiv:0903.2376, arXiv:0912.4724. We contribute towards the understanding of the non-manifest on-shell transformations in (2,2) superspace by analyzing the extended on-shell supersymmetry of such models and find that a rather general ansatz for the additional supersymmetry (not involving central charge transformations) leads to hyperk\"ahler geometry. We give non-trivial examples of these models.
| 14.73004
| 12.001635
| 15.815694
| 11.050998
| 12.412049
| 11.348561
| 11.570472
| 12.066287
| 10.888073
| 16.510481
| 12.026898
| 10.915166
| 13.201392
| 12.260582
| 11.90667
| 11.985198
| 11.681486
| 11.976004
| 12.297035
| 13.977946
| 12.461095
|
hep-th/0401108
|
Stephen G. Naculich
|
S. G. Naculich, H. J. Schnitzer, N. Wyllard
|
Matrix models and N=2 gauge theory
|
6 pages, AMSLaTeX (ws-procs9x6.cls included). Presented at QTS3
(Cincinnati, Ohio, Sept. 10-14, 2003)
| null |
10.1142/9789812702340_0043
|
BRX-TH-530, BOW-PH-130, CERN-PH-TH/2004-005
|
hep-th
| null |
We describe how the ingredients and results of the Seiberg-Witten solution to
N=2 supersymmetric U(N) gauge theory may be obtained from a matrix model.
|
[
{
"created": "Thu, 15 Jan 2004 17:51:18 GMT",
"version": "v1"
}
] |
2017-08-23
|
[
[
"Naculich",
"S. G.",
""
],
[
"Schnitzer",
"H. J.",
""
],
[
"Wyllard",
"N.",
""
]
] |
We describe how the ingredients and results of the Seiberg-Witten solution to N=2 supersymmetric U(N) gauge theory may be obtained from a matrix model.
| 10.421498
| 5.536869
| 9.308773
| 6.194093
| 6.194977
| 5.879485
| 5.767665
| 5.81743
| 6.215551
| 9.790874
| 6.122756
| 6.626751
| 8.850121
| 6.742363
| 6.23684
| 6.287122
| 6.576044
| 6.436377
| 6.452227
| 7.837169
| 6.561944
|
hep-th/0510120
|
Stephen Adler
|
Stephen L. Adler
|
Structure of Fluctuation Terms in the Trace Dynamics Ward Identity
|
TeX; 14 pages. Dedicated to Rafael Sorkin on the occasion of his 60th
birthday
|
J.Phys. A39 (2006) 1397-1404
|
10.1088/0305-4470/39/6/013
| null |
hep-th hep-ph math-ph math.MP quant-ph
| null |
We give a detailed analysis of the anti-self-adjoint operator contribution to
the fluctuation terms in the trace dynamics Ward identity. This clarifies the
origin of the apparent inconsistency between two forms of this identity
discussed in Chapter 6 of our recent book on emergent quantum theory.
|
[
{
"created": "Fri, 14 Oct 2005 19:00:23 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Adler",
"Stephen L.",
""
]
] |
We give a detailed analysis of the anti-self-adjoint operator contribution to the fluctuation terms in the trace dynamics Ward identity. This clarifies the origin of the apparent inconsistency between two forms of this identity discussed in Chapter 6 of our recent book on emergent quantum theory.
| 20.169405
| 23.233343
| 22.598734
| 20.07188
| 20.862049
| 21.184473
| 22.627319
| 18.612673
| 20.057222
| 26.887327
| 20.19405
| 20.61434
| 20.485041
| 19.720543
| 20.396168
| 20.698664
| 20.600332
| 19.505629
| 19.467918
| 21.275955
| 20.211699
|
hep-th/0211187
|
Tsuda
|
K. Shima, M. Tsuda and M. Sawaguchi
|
On linearization of superon-graviton model(SGM)
|
10 pages, Latex, some more discussions added
|
EconfC0306234:586-592,2003
| null |
SIT-LP-02/11
|
hep-th
| null |
Referring to the supermultiplet of N=1 supergravity (SUGRA) the linearization
of N=1 SGM action describing the nonlinear supersymmetric (NL SUSY)
gravitational interaction of superon (Nambu-Goldstone fermion) is attempted.
The field contents of on-shell SUGRA supermultiplet are realized as the
composites, though they have new SUSY transformations which closes on
super-Poincar\'e algebra. Particular attentions are paid to the local Lorentz
invariance.
|
[
{
"created": "Wed, 20 Nov 2002 08:29:48 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Jun 2003 08:36:13 GMT",
"version": "v2"
},
{
"created": "Fri, 20 Jun 2003 07:13:26 GMT",
"version": "v3"
},
{
"created": "Tue, 12 Aug 2003 02:36:00 GMT",
"version": "v4"
}
] |
2008-11-26
|
[
[
"Shima",
"K.",
""
],
[
"Tsuda",
"M.",
""
],
[
"Sawaguchi",
"M.",
""
]
] |
Referring to the supermultiplet of N=1 supergravity (SUGRA) the linearization of N=1 SGM action describing the nonlinear supersymmetric (NL SUSY) gravitational interaction of superon (Nambu-Goldstone fermion) is attempted. The field contents of on-shell SUGRA supermultiplet are realized as the composites, though they have new SUSY transformations which closes on super-Poincar\'e algebra. Particular attentions are paid to the local Lorentz invariance.
| 15.351286
| 10.431773
| 16.042816
| 11.695395
| 10.205976
| 11.355778
| 10.074203
| 10.525544
| 10.698549
| 16.854889
| 11.770583
| 12.128633
| 14.020116
| 12.370744
| 12.409833
| 12.550513
| 11.83379
| 12.406469
| 13.203837
| 13.863329
| 12.522961
|
hep-th/0105139
|
Mohammad Garousi
|
Mohammad R. Garousi
|
Dirac-Born-Infeld action, Seiberg-Witten map, and Wilson Lines
|
24 pages, Latex, revised some parts in such a way that not to be
concluded that the proposed non-commutative action is identical to the DBI
action in the SW limit, references added
|
Nucl.Phys. B611 (2001) 467-487
|
10.1016/S0550-3213(01)00355-8
|
IPM/P-2001/009
|
hep-th
| null |
We write the recently conjectured action for transformation of the ordinary
Born-Infeld action under the Seiberg-Witten map with one open Wilson contour in
a manifestly non-commutative gauge invariant form. This action contains the
non-constant closed string fields, higher order derivatives of the
non-commutative gauge fields through the $*_N$-product, and a Wilson operator.
We extend this non-commutative $D_9$-brane action to the action for $D_p$-brane
by transforming it under T-duality. Using this non-commutative $D_p$-brane
action we then evaluate the linear couplings of the graviton and dilaton to the
brane for arbitrary non-commutative parameters. By taking the Seiberg-Witten
limit we show that they reduce exactly to the known results of the
energy-momentum tensor of the non-commutative super Yang-Mills theory. We take
this as an evidence that the non-commutative action in the Seiberg-Witten limit
includes properly all derivative correction terms.
|
[
{
"created": "Tue, 15 May 2001 04:53:43 GMT",
"version": "v1"
},
{
"created": "Mon, 28 May 2001 12:31:32 GMT",
"version": "v2"
},
{
"created": "Sat, 7 Jul 2001 09:13:37 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Garousi",
"Mohammad R.",
""
]
] |
We write the recently conjectured action for transformation of the ordinary Born-Infeld action under the Seiberg-Witten map with one open Wilson contour in a manifestly non-commutative gauge invariant form. This action contains the non-constant closed string fields, higher order derivatives of the non-commutative gauge fields through the $*_N$-product, and a Wilson operator. We extend this non-commutative $D_9$-brane action to the action for $D_p$-brane by transforming it under T-duality. Using this non-commutative $D_p$-brane action we then evaluate the linear couplings of the graviton and dilaton to the brane for arbitrary non-commutative parameters. By taking the Seiberg-Witten limit we show that they reduce exactly to the known results of the energy-momentum tensor of the non-commutative super Yang-Mills theory. We take this as an evidence that the non-commutative action in the Seiberg-Witten limit includes properly all derivative correction terms.
| 8.516157
| 7.667559
| 9.399833
| 7.670815
| 8.240551
| 8.059203
| 7.615983
| 8.071095
| 7.918022
| 8.799068
| 7.607151
| 7.865114
| 8.353991
| 7.782748
| 7.956782
| 7.737814
| 7.860012
| 7.672165
| 7.649584
| 8.290084
| 7.793036
|
1407.1820
|
Philip D. Mannheim
|
Philip D. Mannheim
|
$PT$ Symmetry, Conformal Symmetry, and the Metrication of
Electromagnetism
|
15 pages, revtex4. Version expanded to include explanatory
introduction
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present some interesting connections between $PT$ symmetry and conformal
symmetry. We use them to develop a metricated theory of electromagnetism in
which the electromagnetic field is present in the geometric connection.
However, unlike Weyl who first advanced this possibility, we do not take the
connection to be real but to instead be $PT$ symmetric, with it being
$iA_{\mu}$ rather than $A_{\mu}$ itself that then appears in the connection.
With this modification the standard minimal coupling of electromagnetism to
fermions is obtained. Through the use of torsion we obtain a metricated theory
of electromagnetism that treats its electric and magnetic sectors
symmetrically, with a conformal invariant theory of gravity being found to
emerge. An extension to the non-Abelian case is provided.
|
[
{
"created": "Mon, 7 Jul 2014 19:43:21 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Jul 2014 16:51:39 GMT",
"version": "v2"
},
{
"created": "Wed, 28 Jan 2015 17:19:36 GMT",
"version": "v3"
}
] |
2015-01-29
|
[
[
"Mannheim",
"Philip D.",
""
]
] |
We present some interesting connections between $PT$ symmetry and conformal symmetry. We use them to develop a metricated theory of electromagnetism in which the electromagnetic field is present in the geometric connection. However, unlike Weyl who first advanced this possibility, we do not take the connection to be real but to instead be $PT$ symmetric, with it being $iA_{\mu}$ rather than $A_{\mu}$ itself that then appears in the connection. With this modification the standard minimal coupling of electromagnetism to fermions is obtained. Through the use of torsion we obtain a metricated theory of electromagnetism that treats its electric and magnetic sectors symmetrically, with a conformal invariant theory of gravity being found to emerge. An extension to the non-Abelian case is provided.
| 9.733756
| 10.556995
| 9.588252
| 9.30724
| 9.978866
| 10.990804
| 10.486226
| 10.591377
| 9.943649
| 10.112892
| 9.412173
| 9.768421
| 9.434542
| 9.405964
| 9.533619
| 9.515452
| 9.571756
| 9.176287
| 9.714839
| 9.470971
| 9.338758
|
hep-th/9412027
|
Senarath P. de Alwis
|
S. P. de Alwis and N. Ohta
|
On the Entropy of Quantum Fields in Black Hole Backgrounds
|
10 pages, phyzzx (added references)
| null | null |
COLO-HEP-347, OU-HET 207
|
hep-th gr-qc
| null |
We show that the partition function for a scalar field in a static spacetime
background can be expressed as a functional integral in the corresponding
optical space, and point out that the difference between this and the
functional integral in the original metric is a Liouville type action. A
general formula for the free energy is derived in the high temperature
approximation and applied to various cases. In particular we find that
thermodynamics in the extremal Reissner-Nordstr\"om space has extra
singularities that make it ill-defined.
|
[
{
"created": "Sat, 3 Dec 1994 07:02:09 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Dec 1994 21:57:53 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"de Alwis",
"S. P.",
""
],
[
"Ohta",
"N.",
""
]
] |
We show that the partition function for a scalar field in a static spacetime background can be expressed as a functional integral in the corresponding optical space, and point out that the difference between this and the functional integral in the original metric is a Liouville type action. A general formula for the free energy is derived in the high temperature approximation and applied to various cases. In particular we find that thermodynamics in the extremal Reissner-Nordstr\"om space has extra singularities that make it ill-defined.
| 9.282858
| 8.618268
| 8.434597
| 7.837416
| 9.044232
| 8.75342
| 8.024738
| 8.472879
| 8.363997
| 8.745647
| 8.566599
| 8.165167
| 8.491659
| 8.546712
| 8.568376
| 8.395648
| 8.370091
| 8.32954
| 8.405363
| 8.226119
| 8.405938
|
hep-th/9703226
|
Roman Jackiw
|
R. Jackiw and S-Y. Pi
|
Seeking an Even-Parity Mass Term for 3-D Gauge Theory
|
11 pages, revtex
|
Phys.Lett.B403:297-303,1997
|
10.1016/S0370-2693(97)00520-0
|
MIT-CTP-2615
|
hep-th hep-ph
| null |
Mass-gap calculations in three-dimensional gauge theories are discussed. Also
we present a Chern--Simons-like mass-generating mechanism which preserves
parity and is realized non-perturbatively.
|
[
{
"created": "Mon, 31 Mar 1997 19:06:17 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Jackiw",
"R.",
""
],
[
"Pi",
"S-Y.",
""
]
] |
Mass-gap calculations in three-dimensional gauge theories are discussed. Also we present a Chern--Simons-like mass-generating mechanism which preserves parity and is realized non-perturbatively.
| 25.999075
| 20.888981
| 22.220531
| 16.696728
| 19.432503
| 18.980631
| 19.412231
| 19.007599
| 17.955235
| 19.672474
| 20.990551
| 20.363583
| 20.894867
| 19.6157
| 20.010756
| 21.893801
| 21.271563
| 20.489201
| 19.564665
| 20.121317
| 19.839771
|
1905.04339
|
Luca Ciambelli
|
Luca Ciambelli and Robert G. Leigh
|
Weyl Connections and their Role in Holography
|
v5; 27 pages, minor typos corrected
|
Phys. Rev. D 101, 086020 (2020)
|
10.1103/PhysRevD.101.086020
|
CPHT-RR020.052019
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is a well-known property of holographic theories that diffeomorphism
invariance in the bulk space-time implies Weyl invariance of the dual
holographic field theory in the sense that the field theory couples to a
conformal class of background metrics. The usual Fefferman-Graham formalism,
which provides us with a holographic dictionary between the two theories,
breaks explicitly this symmetry by choosing a specific boundary metric and a
corresponding specific metric ansatz in the bulk. In this paper, we show that a
simple extension of the Fefferman-Graham formalism allows us to sidestep this
explicit breaking; one finds that the geometry of the boundary includes an
induced metric and an induced connection on the tangent bundle of the boundary
that is a Weyl connection (rather than the more familiar Levi-Civita connection
uniquely determined by the induced metric). Properly invoking this boundary
geometry has far-reaching consequences: the holographic dictionary extends and
naturally encodes Weyl-covariant geometrical data, and, most importantly, the
Weyl anomaly gains a clearer geometrical interpretation, cohomologically
relating two Weyl-transformed volumes. The boundary theory is enhanced due to
the presence of the Weyl current, which participates with the stress tensor in
the boundary Ward identity.
|
[
{
"created": "Fri, 10 May 2019 18:41:59 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Jun 2019 22:28:59 GMT",
"version": "v2"
},
{
"created": "Fri, 1 Nov 2019 14:09:38 GMT",
"version": "v3"
},
{
"created": "Wed, 22 Apr 2020 14:44:26 GMT",
"version": "v4"
},
{
"created": "Fri, 28 Jan 2022 11:49:04 GMT",
"version": "v5"
}
] |
2022-01-31
|
[
[
"Ciambelli",
"Luca",
""
],
[
"Leigh",
"Robert G.",
""
]
] |
It is a well-known property of holographic theories that diffeomorphism invariance in the bulk space-time implies Weyl invariance of the dual holographic field theory in the sense that the field theory couples to a conformal class of background metrics. The usual Fefferman-Graham formalism, which provides us with a holographic dictionary between the two theories, breaks explicitly this symmetry by choosing a specific boundary metric and a corresponding specific metric ansatz in the bulk. In this paper, we show that a simple extension of the Fefferman-Graham formalism allows us to sidestep this explicit breaking; one finds that the geometry of the boundary includes an induced metric and an induced connection on the tangent bundle of the boundary that is a Weyl connection (rather than the more familiar Levi-Civita connection uniquely determined by the induced metric). Properly invoking this boundary geometry has far-reaching consequences: the holographic dictionary extends and naturally encodes Weyl-covariant geometrical data, and, most importantly, the Weyl anomaly gains a clearer geometrical interpretation, cohomologically relating two Weyl-transformed volumes. The boundary theory is enhanced due to the presence of the Weyl current, which participates with the stress tensor in the boundary Ward identity.
| 8.262439
| 8.43788
| 8.949512
| 8.07866
| 8.594966
| 8.435099
| 8.595386
| 8.2486
| 8.443066
| 8.743524
| 7.911482
| 8.118789
| 8.185689
| 8.194744
| 8.19486
| 8.193712
| 8.177651
| 8.210297
| 8.03364
| 8.140519
| 8.086837
|
hep-th/0406084
|
John M. Cornwall
|
John M. Cornwall
|
A three-dimensional scalar field theory model of center vortices and its
relation to k-string tensions
|
21 pages; RevTeX4; 4 .eps figures
|
Phys.Rev. D70 (2004) 065005
|
10.1103/PhysRevD.70.065005
|
UCLA/04/TEP/5
|
hep-th
| null |
In d=3 SU(N) gauge theory, we study a scalar field theory model of center
vortices that furnishes an approach to the determination of so-called k-string
tensions. This model is constructed from string-like quantum solitons
introduced previously, and exploits the well-known relation between string
partition functions and scalar field theories in d=3. Center vortices
corresponding to magnetic flux J (in units of 2\pi /N) are composites of J
elementary J=1 constituent vortices that come in N-1 types, with repulsion
between like constituents and attraction between unlike constituents. The
scalar field theory involves N scalar fields \phi_i (one of which is
eliminated) that can merge, dissociate, and recombine while conserving flux mod
N. The properties of these fields are deduced directly from the corresponding
gauge-theory quantum solitons. Every vacuum Feynman graph of the theory
corresponds to a real-space configuration of center vortices. We study
qualitatively the problem of k-string tensions at large N, whose solution is
far from obvious in center-vortex language. We construct a simplified dynamical
picture of constituent-vortex merging, dissociation, and recombination, which
allows in principle for the determination of vortex areal densities and
k-string tensions. This picture involves point-like "molecules" (cross-sections
of center vortices) made of constituent "atoms" that combine and disassociate
dynamically in a d=2 test plane . The vortices evolve in a Euclidean "time"
which is the location of the test plane along an axis perpendicular to the
plane. A simple approximation to the molecular dynamics is compatible with
k-string tensions that are linear in k for k<< N, as naively expected.
|
[
{
"created": "Wed, 9 Jun 2004 21:23:01 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Cornwall",
"John M.",
""
]
] |
In d=3 SU(N) gauge theory, we study a scalar field theory model of center vortices that furnishes an approach to the determination of so-called k-string tensions. This model is constructed from string-like quantum solitons introduced previously, and exploits the well-known relation between string partition functions and scalar field theories in d=3. Center vortices corresponding to magnetic flux J (in units of 2\pi /N) are composites of J elementary J=1 constituent vortices that come in N-1 types, with repulsion between like constituents and attraction between unlike constituents. The scalar field theory involves N scalar fields \phi_i (one of which is eliminated) that can merge, dissociate, and recombine while conserving flux mod N. The properties of these fields are deduced directly from the corresponding gauge-theory quantum solitons. Every vacuum Feynman graph of the theory corresponds to a real-space configuration of center vortices. We study qualitatively the problem of k-string tensions at large N, whose solution is far from obvious in center-vortex language. We construct a simplified dynamical picture of constituent-vortex merging, dissociation, and recombination, which allows in principle for the determination of vortex areal densities and k-string tensions. This picture involves point-like "molecules" (cross-sections of center vortices) made of constituent "atoms" that combine and disassociate dynamically in a d=2 test plane . The vortices evolve in a Euclidean "time" which is the location of the test plane along an axis perpendicular to the plane. A simple approximation to the molecular dynamics is compatible with k-string tensions that are linear in k for k<< N, as naively expected.
| 12.459818
| 12.607228
| 12.377247
| 12.181544
| 13.034336
| 12.472672
| 12.369226
| 12.993688
| 11.772906
| 13.700191
| 11.949789
| 11.736963
| 11.964653
| 11.641194
| 11.806313
| 11.990849
| 11.831629
| 11.52103
| 11.5488
| 12.007997
| 12.037326
|
1507.05771
|
Rohit Kumar
|
R. Kumar and Amitabha Lahiri
|
Dimensional reduction of four-dimensional topologically massive gauge
theory
|
LaTex File: 10 pages, no figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study topologically massive (B \wedge F) Abelian and non-Abelian gauge
theories in four dimensions, and reduce them to three dimensions by assuming
that the fields do not propagate in one of the spatial directions. For certain
gauge choices the reduced theories are the Jackiw-Pi models of massive gauge
fields.
|
[
{
"created": "Tue, 21 Jul 2015 10:05:48 GMT",
"version": "v1"
}
] |
2015-07-22
|
[
[
"Kumar",
"R.",
""
],
[
"Lahiri",
"Amitabha",
""
]
] |
We study topologically massive (B \wedge F) Abelian and non-Abelian gauge theories in four dimensions, and reduce them to three dimensions by assuming that the fields do not propagate in one of the spatial directions. For certain gauge choices the reduced theories are the Jackiw-Pi models of massive gauge fields.
| 10.759976
| 8.307458
| 10.330569
| 8.418745
| 9.711073
| 8.786448
| 8.666383
| 8.611611
| 8.079946
| 12.325224
| 7.715195
| 8.970654
| 10.760987
| 8.550678
| 8.650081
| 9.204002
| 8.604223
| 9.356936
| 8.67472
| 9.644722
| 8.196526
|
hep-th/0112006
|
Katrin Wendland
|
Katrin Wendland
|
Orbifold Constructions of K3: A Link between Conformal Field Theory and
Geometry
|
26 pages; references and clarifying remarks added, minor typos
corrected; final version to be published (Proc. of the Workshop on
"Mathematical Aspects of Orbifold String Theory", Madison, Wisconsin, May
4-8, 2001)
|
in: Orbifolds in mathematics and physics (Madison, WI, 2001),
333-358, Contemp. Math., 310, Amer. Math. Soc., Providence, RI, 2002
| null | null |
hep-th math-ph math.MP
| null |
We discuss geometric aspects of orbifold conformal field theories in the
moduli space of N=(4,4) superconformal field theories with central charge c=6.
Part of this note consists of a summary of our earlier results on the location
of these theories within the moduli space [NW01,Wen] and the action of a
specific version of mirror symmetry on them [NW]. We argue that these results
allow for a direct translation from geometric to conformal field theoretic
data. Additionally, this work contains a detailed discussion of an example
which allows the application of various versions of mirror symmetry on K3. We
show that all of them agree in that point of the moduli space.
|
[
{
"created": "Sat, 1 Dec 2001 18:32:06 GMT",
"version": "v1"
},
{
"created": "Wed, 8 May 2002 05:37:23 GMT",
"version": "v2"
}
] |
2020-04-28
|
[
[
"Wendland",
"Katrin",
""
]
] |
We discuss geometric aspects of orbifold conformal field theories in the moduli space of N=(4,4) superconformal field theories with central charge c=6. Part of this note consists of a summary of our earlier results on the location of these theories within the moduli space [NW01,Wen] and the action of a specific version of mirror symmetry on them [NW]. We argue that these results allow for a direct translation from geometric to conformal field theoretic data. Additionally, this work contains a detailed discussion of an example which allows the application of various versions of mirror symmetry on K3. We show that all of them agree in that point of the moduli space.
| 10.436189
| 10.066752
| 12.561954
| 10.213861
| 10.054157
| 10.195247
| 10.691483
| 10.024595
| 10.014074
| 12.796949
| 9.587584
| 9.592827
| 10.560117
| 9.575922
| 9.805708
| 9.733108
| 10.006058
| 9.667844
| 9.774023
| 10.101885
| 9.652165
|
2205.00154
|
Yutaka Hosotani
|
Yutaka Hosotani
|
Universality in Anomaly Flow
|
25 pages, 13 figures. Comments and references are added
|
Prog Theor Exp Phys (2022)
|
10.1093/ptep/ptac084
|
OU-HET-1144
|
hep-th hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
Universality in anomaly flow by an Aharonov-Bohm (AB) phase $\theta_H$ is
shown in the flat $M^4 \times (S^1/Z_2)$ spacetime and in the Randall-Sundrum
(RS) warped space. We analyze $SU(2)$ gauge theory with doublet fermions. With
orbifold boundary conditions the $U(1)$ part of gauge symmetry remains unbroken
at $\theta_H = 0$ and $\pi$. Chiral anomalies smoothly vary with $\theta_H$ in
the RS space. It is shown that anomaly coefficients associated with this
anomaly flow are expressed in terms of the values of the wave functions of
gauge fields at the UV and IR branes in the RS space. The anomaly coefficients
depend on $\theta_H$, the warp factor of the RS space, and the orbifold
boundary conditions for fermions, but not on the bulk mass parameters of
fermions.
|
[
{
"created": "Sat, 30 Apr 2022 04:03:03 GMT",
"version": "v1"
},
{
"created": "Tue, 31 May 2022 05:36:46 GMT",
"version": "v2"
}
] |
2022-07-06
|
[
[
"Hosotani",
"Yutaka",
""
]
] |
Universality in anomaly flow by an Aharonov-Bohm (AB) phase $\theta_H$ is shown in the flat $M^4 \times (S^1/Z_2)$ spacetime and in the Randall-Sundrum (RS) warped space. We analyze $SU(2)$ gauge theory with doublet fermions. With orbifold boundary conditions the $U(1)$ part of gauge symmetry remains unbroken at $\theta_H = 0$ and $\pi$. Chiral anomalies smoothly vary with $\theta_H$ in the RS space. It is shown that anomaly coefficients associated with this anomaly flow are expressed in terms of the values of the wave functions of gauge fields at the UV and IR branes in the RS space. The anomaly coefficients depend on $\theta_H$, the warp factor of the RS space, and the orbifold boundary conditions for fermions, but not on the bulk mass parameters of fermions.
| 6.799668
| 6.914274
| 5.934011
| 6.180856
| 6.859053
| 7.138124
| 6.563226
| 6.685161
| 5.950662
| 6.563654
| 6.68924
| 6.265222
| 5.959176
| 5.973392
| 6.32422
| 6.279202
| 6.367604
| 6.246476
| 6.059503
| 6.264292
| 6.464458
|
hep-th/0004200
|
Marty Stock
|
Frieder Lenz, John W. Negele, Lochlainn O'Raifeartaigh, Michael Thies
|
Phases and Residual Gauge Symmetries of Higgs Models
|
30 pages, LaTeX with amsmath macros; updated to include minor
corrections in proof; email correspondence to J.W. Negele,
negele@mitlns.mit.edu
|
Annals Phys. 285 (2000) 25-60
|
10.1006/aphy.2000.6072
|
FAU-TP3-00/4, DIAS-STP-00-08, MIT-CTP-2974
|
hep-th hep-ph
| null |
After elimination of the redundant variables, gauge theories may still
exhibit symmetries associated with the gauge fields. The role of these residual
gauge symmetries is discussed within the Abelian Higgs model and the
Georgi-Glashow model. In the different phases of these models, these symmetries
are realized differently. The characteristics of emergence and disappearance of
the symmetries are studied in detail and the implications for the dynamics in
Coulomb, Higgs, and confining phases are discussed.
|
[
{
"created": "Thu, 27 Apr 2000 21:16:33 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Jul 2000 17:12:49 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Lenz",
"Frieder",
""
],
[
"Negele",
"John W.",
""
],
[
"O'Raifeartaigh",
"Lochlainn",
""
],
[
"Thies",
"Michael",
""
]
] |
After elimination of the redundant variables, gauge theories may still exhibit symmetries associated with the gauge fields. The role of these residual gauge symmetries is discussed within the Abelian Higgs model and the Georgi-Glashow model. In the different phases of these models, these symmetries are realized differently. The characteristics of emergence and disappearance of the symmetries are studied in detail and the implications for the dynamics in Coulomb, Higgs, and confining phases are discussed.
| 8.463181
| 7.664644
| 7.633306
| 7.227934
| 8.107176
| 7.576314
| 7.487331
| 7.071775
| 7.208399
| 7.446313
| 7.214636
| 7.439513
| 7.250825
| 7.2489
| 7.706159
| 7.328223
| 7.488354
| 7.359969
| 7.300459
| 7.452135
| 7.292274
|
2310.15236
|
Alexander Zhiboedov
|
Matthew Dodelson, Cristoforo Iossa, Robin Karlsson, Alexandru
Lupsasca, and Alexander Zhiboedov
|
Black hole bulk-cone singularities
|
63 pages, 17 figures
| null | null |
CERN-TH-2023-192
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Lorentzian correlators of local operators exhibit surprising singularities in
theories with gravity duals. These are associated with null geodesics in an
emergent bulk geometry. We analyze singularities of the thermal response
function dual to propagation of waves on the AdS Schwarzschild black hole
background. We derive the analytic form of the leading singularity dual to a
bulk geodesic that winds around the black hole. Remarkably, it exhibits a
boundary group velocity larger than the speed of light, whose dual is the
angular velocity of null geodesics at the photon sphere. The strength of this
singularity is controlled by the classical Lyapunov exponent associated with
the instability of nearly bound photon orbits. In this sense, the bulk-cone
singularity can be identified as the universal feature that encodes the
ubiquitous black hole photon sphere in a dual holographic CFT. To perform the
computation analytically, we express the two-point correlator as an infinite
sum over Regge poles, and then evaluate this sum using WKB methods. We also
compute the smeared correlator numerically, which in particular allows us to
check and support our analytic predictions. We comment on the resolution of
black hole bulk-cone singularities by stringy and gravitational effects into
black hole bulk-cone "bumps". We conclude that these bumps are robust, and
could serve as a target for simulations of black hole-like geometries in
table-top experiments.
|
[
{
"created": "Mon, 23 Oct 2023 18:00:08 GMT",
"version": "v1"
}
] |
2023-10-25
|
[
[
"Dodelson",
"Matthew",
""
],
[
"Iossa",
"Cristoforo",
""
],
[
"Karlsson",
"Robin",
""
],
[
"Lupsasca",
"Alexandru",
""
],
[
"Zhiboedov",
"Alexander",
""
]
] |
Lorentzian correlators of local operators exhibit surprising singularities in theories with gravity duals. These are associated with null geodesics in an emergent bulk geometry. We analyze singularities of the thermal response function dual to propagation of waves on the AdS Schwarzschild black hole background. We derive the analytic form of the leading singularity dual to a bulk geodesic that winds around the black hole. Remarkably, it exhibits a boundary group velocity larger than the speed of light, whose dual is the angular velocity of null geodesics at the photon sphere. The strength of this singularity is controlled by the classical Lyapunov exponent associated with the instability of nearly bound photon orbits. In this sense, the bulk-cone singularity can be identified as the universal feature that encodes the ubiquitous black hole photon sphere in a dual holographic CFT. To perform the computation analytically, we express the two-point correlator as an infinite sum over Regge poles, and then evaluate this sum using WKB methods. We also compute the smeared correlator numerically, which in particular allows us to check and support our analytic predictions. We comment on the resolution of black hole bulk-cone singularities by stringy and gravitational effects into black hole bulk-cone "bumps". We conclude that these bumps are robust, and could serve as a target for simulations of black hole-like geometries in table-top experiments.
| 11.292856
| 11.75298
| 12.219936
| 10.699021
| 12.03511
| 11.232302
| 12.466045
| 10.964802
| 11.044147
| 12.386738
| 11.36054
| 11.336306
| 10.80401
| 10.820906
| 11.205375
| 11.188257
| 10.943075
| 10.710213
| 10.717393
| 10.90777
| 11.043843
|
1506.05016
|
Edi Halyo
|
Edi Halyo
|
Extremal Black Hole Entropy from Horizon Conformal Field Theories
|
15 pages
| null | null |
SU-ITP-15/09
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the entropy of extremal $D=4$ Reissner--Nordstrom black holes
can be computed from horizon CFTs with central charges and conformal weights
fixed by the dimensionless Rindler energy. This is possible in the simultaneous
extremal and near horizon limit of the black hole which takes the geometry to
an $AdS_2$ Rindler space with finite temperature. The CFT description of
dilatonic $AdS_2$ black holes, obtained from extremal ones by dimensional
reduction, lead to exactly the same CFT states.
|
[
{
"created": "Tue, 16 Jun 2015 16:12:18 GMT",
"version": "v1"
}
] |
2015-06-17
|
[
[
"Halyo",
"Edi",
""
]
] |
We show that the entropy of extremal $D=4$ Reissner--Nordstrom black holes can be computed from horizon CFTs with central charges and conformal weights fixed by the dimensionless Rindler energy. This is possible in the simultaneous extremal and near horizon limit of the black hole which takes the geometry to an $AdS_2$ Rindler space with finite temperature. The CFT description of dilatonic $AdS_2$ black holes, obtained from extremal ones by dimensional reduction, lead to exactly the same CFT states.
| 10.207736
| 8.43595
| 9.341763
| 8.399834
| 9.288372
| 8.660643
| 8.278029
| 8.706892
| 8.771527
| 10.14362
| 8.35202
| 8.805197
| 8.907571
| 8.294513
| 8.707131
| 8.871331
| 8.539451
| 8.423459
| 8.671075
| 8.68268
| 8.475255
|
2102.04424
|
Paolo Valtancoli
|
P. Valtancoli
|
On the area of the sphere in a Snyder geometry
|
7 pages, no figures
| null | null | null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We compute the area of a generic d-sphere in a Snyder geometry.
|
[
{
"created": "Mon, 8 Feb 2021 18:36:02 GMT",
"version": "v1"
}
] |
2021-02-09
|
[
[
"Valtancoli",
"P.",
""
]
] |
We compute the area of a generic d-sphere in a Snyder geometry.
| 67.733116
| 31.738977
| 50.732796
| 33.509251
| 35.223484
| 33.888462
| 44.871986
| 36.36285
| 32.246975
| 56.651752
| 33.62624
| 45.409866
| 55.799919
| 45.632732
| 43.309822
| 43.107498
| 43.630787
| 44.443798
| 48.069565
| 49.449272
| 40.456276
|
1610.08968
|
Chris Akers
|
Chris Akers, Jason Koeller, Stefan Leichenauer, Adam Levine
|
Geometric Constraints from Subregion Duality Beyond the Classical Regime
|
27 Pages, 5 Figures, V2: Added citations, fixed typos, V3: Clarified
many issues, replaced a figure, fixed typos
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Subregion duality in AdS/CFT implies certain constraints on the geometry:
entanglement wedges must contain causal wedges, and nested boundary regions
must have nested entanglement wedges. We elucidate the logical connections
between these statements and the Quantum Focussing Conjecture, Quantum Null
Energy Condition, Boundary Causality Condition, and Averaged Null Energy
Condition. Our analysis does not rely on the classical limit of bulk physics,
but instead works to all orders in $G\hbar \sim 1/N$. This constitutes a
nontrivial check on the consistency of subregion duality, entanglement wedge
reconstruction, and holographic entanglement entropy beyond the classical
regime.
|
[
{
"created": "Thu, 27 Oct 2016 19:56:07 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Oct 2016 19:57:50 GMT",
"version": "v2"
},
{
"created": "Thu, 17 Nov 2016 20:42:43 GMT",
"version": "v3"
}
] |
2016-11-18
|
[
[
"Akers",
"Chris",
""
],
[
"Koeller",
"Jason",
""
],
[
"Leichenauer",
"Stefan",
""
],
[
"Levine",
"Adam",
""
]
] |
Subregion duality in AdS/CFT implies certain constraints on the geometry: entanglement wedges must contain causal wedges, and nested boundary regions must have nested entanglement wedges. We elucidate the logical connections between these statements and the Quantum Focussing Conjecture, Quantum Null Energy Condition, Boundary Causality Condition, and Averaged Null Energy Condition. Our analysis does not rely on the classical limit of bulk physics, but instead works to all orders in $G\hbar \sim 1/N$. This constitutes a nontrivial check on the consistency of subregion duality, entanglement wedge reconstruction, and holographic entanglement entropy beyond the classical regime.
| 8.630546
| 7.137146
| 8.790587
| 7.070457
| 7.586782
| 6.507977
| 6.846264
| 7.549016
| 6.720489
| 10.951576
| 6.551942
| 6.703239
| 7.796741
| 7.224535
| 7.003731
| 7.073959
| 6.682003
| 7.073649
| 7.027075
| 7.528771
| 7.107284
|
hep-th/0312071
|
Sungho Hong
|
Sungho Hong (U. Pennsylvania), Sukjin Yoon, Matthew J. Strassler (U.
Washington)
|
Quarkonium from the Fifth Dimension
|
57 pages, LaTeX, 5 figures
|
JHEP0404:046,2004
|
10.1088/1126-6708/2004/04/046
|
UW/PT 03-31, UPR-1057-T
|
hep-th
| null |
Adding fundamental matter of mass m_Q to N=4 Yang Mills theory, we study
quarkonium, and "generalized quarkonium" containing light adjoint particles. At
large 't Hooft coupling the states of spin<=1 are anomalously light (Kruczenski
et al., hep-th/0304032). We examine their form factors, and show these hadrons
are unlike any known in QCD. By a traditional yardstick they appear infinite in
size (as with strings in flat space) but we show that this is a failure of the
yardstick. All of the hadrons are actually of finite size ~ \sqrt{g^2N}/m_Q,
regardless of their radial excitation level and of how many valence adjoint
particles they contain. Certain form factors for spin-1 quarkonia vanish in the
large-g^2N limit; thus these hadrons resemble neither the observed J/Psi
quarkonium states nor rho mesons.
|
[
{
"created": "Fri, 5 Dec 2003 21:22:33 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Dec 2003 23:20:34 GMT",
"version": "v2"
},
{
"created": "Sat, 20 Mar 2004 00:49:58 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Hong",
"Sungho",
"",
"U. Pennsylvania"
],
[
"Yoon",
"Sukjin",
"",
"U.\n Washington"
],
[
"Strassler",
"Matthew J.",
"",
"U.\n Washington"
]
] |
Adding fundamental matter of mass m_Q to N=4 Yang Mills theory, we study quarkonium, and "generalized quarkonium" containing light adjoint particles. At large 't Hooft coupling the states of spin<=1 are anomalously light (Kruczenski et al., hep-th/0304032). We examine their form factors, and show these hadrons are unlike any known in QCD. By a traditional yardstick they appear infinite in size (as with strings in flat space) but we show that this is a failure of the yardstick. All of the hadrons are actually of finite size ~ \sqrt{g^2N}/m_Q, regardless of their radial excitation level and of how many valence adjoint particles they contain. Certain form factors for spin-1 quarkonia vanish in the large-g^2N limit; thus these hadrons resemble neither the observed J/Psi quarkonium states nor rho mesons.
| 15.040378
| 13.736744
| 15.802604
| 13.330838
| 14.474822
| 13.73363
| 13.570399
| 14.779222
| 13.362198
| 16.431513
| 13.168994
| 13.437502
| 14.417059
| 13.576095
| 13.92513
| 13.458368
| 13.755716
| 13.007934
| 13.815772
| 14.169788
| 14.219112
|
hep-th/0203267
|
Michael Haack
|
Sergei Gukov and Michael Haack
|
IIA String Theory on Calabi-Yau Fourfolds with Background Fluxes
|
39 pages, no figures, references added
|
Nucl.Phys. B639 (2002) 95-128
|
10.1016/S0550-3213(02)00442-X
|
ROM2F/2002/07, ITEP-TH-07/02, HUTP-01/A074
|
hep-th
| null |
Looking for string vacua with fixed moduli, we study compactifications of
type IIA string theory on Calabi-Yau fourfolds in the presence of generic
Ramond-Ramond fields. We explicitly derive the (super)potential induced by
Ramond-Ramond fluxes performing a Kaluza-Klein reduction of the ten-dimensional
effective action. This can be conveniently achieved in a formulation of the
massive type IIA supergravity where all Ramond-Ramond fields appear in a
democratic way. The result agrees with the general formula for the
superpotential written in terms of calibrations. We further notice that for
generic Ramond-Ramond fluxes all geometric moduli are stabilized and one finds
non-supersymmetric vacua at positive values of the scalar potential.
|
[
{
"created": "Thu, 28 Mar 2002 09:00:02 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Apr 2002 08:57:21 GMT",
"version": "v2"
}
] |
2015-06-26
|
[
[
"Gukov",
"Sergei",
""
],
[
"Haack",
"Michael",
""
]
] |
Looking for string vacua with fixed moduli, we study compactifications of type IIA string theory on Calabi-Yau fourfolds in the presence of generic Ramond-Ramond fields. We explicitly derive the (super)potential induced by Ramond-Ramond fluxes performing a Kaluza-Klein reduction of the ten-dimensional effective action. This can be conveniently achieved in a formulation of the massive type IIA supergravity where all Ramond-Ramond fields appear in a democratic way. The result agrees with the general formula for the superpotential written in terms of calibrations. We further notice that for generic Ramond-Ramond fluxes all geometric moduli are stabilized and one finds non-supersymmetric vacua at positive values of the scalar potential.
| 6.702888
| 5.857594
| 7.327041
| 6.052011
| 6.512019
| 6.432407
| 6.265884
| 6.329738
| 6.372543
| 7.430622
| 6.296627
| 6.0371
| 6.321249
| 6.067783
| 6.228271
| 6.107457
| 6.000853
| 6.169733
| 6.122237
| 6.331928
| 6.031868
|
1207.5388
|
Ram Brustein
|
Ram Brustein, A. J. M. Medved
|
Universal stress-tensor correlation functions of strongly coupled
conformal fluids
|
v2: 23 pages, 1 figure, substantial additions, clarifications and
explanations. In particular about the relationship to experiment. Figure
includes more panels, added references. Version replaced to match published
version
| null |
10.1016/j.physletb.2013.06.002
| null |
hep-th nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We have shown in two accompanying papers that, for Einstein gravity, the
graviton multi-point functions are universal in a particular kinematic region
and depend only on the (generalized) Mandelstam variable s. The effects of the
leading corrections to Einstein gravity were shown to be similarly universal,
inducing a specific difference in the angular dependence. Here we show, relying
on the gauge-gravity duality, that the stress-tensor correlation functions of
conformal fluids whose gravitational dual is either Einstein gravity or its
leading correction are also universal. We discuss the possible significance of
these results to multi-particle correlations in heavy-ion collisions. We show
that, to test our ideas, the stress-energy correlation functions have to
measured rather than the standard multiplicity correlation functions. We then
discuss schematically how stress-energy correlations in heavy-ion collisions
can be used to test our findings. We argue that, if these correlations can be
measured precisely enough, they will provide a unique way to probe the
existence of a gravitational dual to the quark-gluon plasma and to determine
its universality class.
|
[
{
"created": "Mon, 23 Jul 2012 13:32:15 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Jun 2013 13:14:16 GMT",
"version": "v2"
}
] |
2015-06-05
|
[
[
"Brustein",
"Ram",
""
],
[
"Medved",
"A. J. M.",
""
]
] |
We have shown in two accompanying papers that, for Einstein gravity, the graviton multi-point functions are universal in a particular kinematic region and depend only on the (generalized) Mandelstam variable s. The effects of the leading corrections to Einstein gravity were shown to be similarly universal, inducing a specific difference in the angular dependence. Here we show, relying on the gauge-gravity duality, that the stress-tensor correlation functions of conformal fluids whose gravitational dual is either Einstein gravity or its leading correction are also universal. We discuss the possible significance of these results to multi-particle correlations in heavy-ion collisions. We show that, to test our ideas, the stress-energy correlation functions have to measured rather than the standard multiplicity correlation functions. We then discuss schematically how stress-energy correlations in heavy-ion collisions can be used to test our findings. We argue that, if these correlations can be measured precisely enough, they will provide a unique way to probe the existence of a gravitational dual to the quark-gluon plasma and to determine its universality class.
| 9.578274
| 9.45423
| 9.39762
| 9.152279
| 9.982373
| 9.74178
| 10.28985
| 9.506841
| 9.074767
| 10.040501
| 9.583359
| 9.278488
| 9.244547
| 9.079868
| 9.209301
| 9.098379
| 9.200235
| 9.021096
| 9.01723
| 9.112694
| 9.321988
|
1910.14612
|
Junjie Rao
|
Junjie Rao
|
All-loop Mondrian Reduction of 4-particle Amplituhedron at Positive
Infinity
|
19 pages, 14 figures
|
Nucl. Phys. B 957C (2020) 115086
|
10.1016/j.nuclphysb.2020.115086
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This article introduces a systematic framework to understand (not to derive
yet) the all-loop 4-particle amplituhedron in planar N=4 SYM, utilizing both
positivity and the Mondrian diagrammatics. Its key idea is the simplest one so
far: we can decouple one or more sets of loop variables (x,y,z,w) from the rest
by just setting these variables to either zero or infinity so that their
relevant positivity conditions are trivialized, then the all-loop consistency
requires that we get lower loop amplituhedra as "residues". These decoupling
relations connect higher loop DCI integrals with the lower ones, enabling us to
identify their coefficients starting from the 3-loop case. And surprisingly,
the delicate mechanism of this process is the simple Mondrian rule D=X+Y, which
forces those visually non-Mondrian DCI integrals to have the correct
coefficients such that the amplituhedron can exactly reduce to the lower loop
one. Examples cover all DCI integrals at L=3,4,5,6, especially, the subtle
6-loop coefficients +2 and 0 are neatly explained in this way.
|
[
{
"created": "Thu, 31 Oct 2019 17:00:22 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Jun 2020 16:40:54 GMT",
"version": "v2"
}
] |
2020-06-23
|
[
[
"Rao",
"Junjie",
""
]
] |
This article introduces a systematic framework to understand (not to derive yet) the all-loop 4-particle amplituhedron in planar N=4 SYM, utilizing both positivity and the Mondrian diagrammatics. Its key idea is the simplest one so far: we can decouple one or more sets of loop variables (x,y,z,w) from the rest by just setting these variables to either zero or infinity so that their relevant positivity conditions are trivialized, then the all-loop consistency requires that we get lower loop amplituhedra as "residues". These decoupling relations connect higher loop DCI integrals with the lower ones, enabling us to identify their coefficients starting from the 3-loop case. And surprisingly, the delicate mechanism of this process is the simple Mondrian rule D=X+Y, which forces those visually non-Mondrian DCI integrals to have the correct coefficients such that the amplituhedron can exactly reduce to the lower loop one. Examples cover all DCI integrals at L=3,4,5,6, especially, the subtle 6-loop coefficients +2 and 0 are neatly explained in this way.
| 16.803503
| 16.893845
| 18.729242
| 16.629118
| 18.53767
| 19.031918
| 18.057991
| 17.457533
| 17.323624
| 21.999781
| 16.198811
| 16.062952
| 16.592087
| 16.801382
| 15.691056
| 16.397621
| 16.132982
| 15.933591
| 16.382866
| 16.753651
| 15.749077
|
hep-th/9805206
|
David R. Morrison
|
Paul S. Aspinwall and David R. Morrison
|
Non-Simply-Connected Gauge Groups and Rational Points on Elliptic Curves
|
15 pages, 2 embedded figures, some spurious U(1)'s removed
|
JHEP 9807 (1998) 012
|
10.1088/1126-6708/1998/07/012
|
DUKE-CGTP-98-02, NSF-ITP-98-027
|
hep-th
| null |
We consider the F-theory description of non-simply-connected gauge groups
appearing in the E8 x E8 heterotic string. The analysis is closely tied to the
arithmetic of torsion points on an elliptic curve. The general form of the
corresponding elliptic fibration is given for all finite subgroups of E8 which
are applicable in this context. We also study the closely-related question of
point-like instantons on a K3 surface whose holonomy is a finite group. As an
example we consider the case of the heterotic string on a K3 surface having the
E8 gauge symmetry broken to (E6 x SU(3))/Z3 or SU(9)/Z3 by point-like
instantons with Z3 holonomy.
|
[
{
"created": "Thu, 28 May 1998 21:45:49 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Dec 1998 15:29:28 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Aspinwall",
"Paul S.",
""
],
[
"Morrison",
"David R.",
""
]
] |
We consider the F-theory description of non-simply-connected gauge groups appearing in the E8 x E8 heterotic string. The analysis is closely tied to the arithmetic of torsion points on an elliptic curve. The general form of the corresponding elliptic fibration is given for all finite subgroups of E8 which are applicable in this context. We also study the closely-related question of point-like instantons on a K3 surface whose holonomy is a finite group. As an example we consider the case of the heterotic string on a K3 surface having the E8 gauge symmetry broken to (E6 x SU(3))/Z3 or SU(9)/Z3 by point-like instantons with Z3 holonomy.
| 6.913118
| 6.835183
| 7.615631
| 6.547951
| 6.524787
| 6.473776
| 6.991479
| 5.971571
| 6.534251
| 7.238034
| 6.782563
| 6.797136
| 7.2928
| 6.534463
| 6.540467
| 6.851696
| 6.622346
| 6.404057
| 6.596058
| 7.193808
| 6.460906
|
hep-th/0307262
|
Mikhail Ivanov
|
M. G. Ivanov
|
The models of delocalized membranes
|
5 pages, LaTeX
|
Grav.Cosmol. 9 (2003) 45-49
| null | null |
hep-th
| null |
The generally adopted approach in theory of relativistic strings and
membranes, is similar to use of Lagrange coordinates in continious media
mechanics. One can use an alternative approach, which is similar to use of
Euler coordinates. Under such approach the consideration of thick (delocalized)
membranes is natural. Membrane kinematics, which coorespond to Euler
coordinates is constructed. Variables, similar to Hamiltonian variables, are
introduced by means of Legander transformation. The case of free membranes
appears to be degenerate. The examples of exact solutions of Einstein equations
with delocalized membranes are presented.
|
[
{
"created": "Sun, 27 Jul 2003 10:23:39 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Ivanov",
"M. G.",
""
]
] |
The generally adopted approach in theory of relativistic strings and membranes, is similar to use of Lagrange coordinates in continious media mechanics. One can use an alternative approach, which is similar to use of Euler coordinates. Under such approach the consideration of thick (delocalized) membranes is natural. Membrane kinematics, which coorespond to Euler coordinates is constructed. Variables, similar to Hamiltonian variables, are introduced by means of Legander transformation. The case of free membranes appears to be degenerate. The examples of exact solutions of Einstein equations with delocalized membranes are presented.
| 17.925705
| 18.923958
| 17.951191
| 16.796181
| 19.212286
| 17.289265
| 18.610359
| 16.54031
| 18.465586
| 18.696861
| 16.309824
| 17.722103
| 16.879831
| 17.131485
| 17.017998
| 17.613531
| 17.119808
| 17.364359
| 17.254107
| 17.232143
| 16.703978
|
hep-th/9311145
|
Jacek Rozynek
|
Kostas Vlachos and Anna Okopinska
|
Optimized Perturbation Methods for the Free Energy of the Anharmonic
Oscillator
|
8 pages, preprint
|
Phys.Lett. A186 (1994) 375-381
|
10.1016/0375-9601(94)90697-1
| null |
hep-th
| null |
Two possibile applications of the optimized expansion for the free energy of
the quantum-mechanical anharmonic oscillator are discussed. The first method is
for the finite temperature effective potential; the second one, for the
classical effective potential. The results of both methods show a quick
convergence and agree well with the exact free energy in the whole range of
temperatures. Postscript figures are available under request to AO email
ROZYNEK@FUW.EDU.PL
|
[
{
"created": "Wed, 24 Nov 1993 10:33:20 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Vlachos",
"Kostas",
""
],
[
"Okopinska",
"Anna",
""
]
] |
Two possibile applications of the optimized expansion for the free energy of the quantum-mechanical anharmonic oscillator are discussed. The first method is for the finite temperature effective potential; the second one, for the classical effective potential. The results of both methods show a quick convergence and agree well with the exact free energy in the whole range of temperatures. Postscript figures are available under request to AO email ROZYNEK@FUW.EDU.PL
| 19.567921
| 17.459743
| 19.28595
| 18.131643
| 22.025145
| 24.370573
| 23.590933
| 21.559963
| 18.804247
| 17.914324
| 17.254541
| 18.950195
| 17.355221
| 17.678919
| 17.670748
| 18.420528
| 17.614782
| 17.74682
| 17.151201
| 18.397034
| 18.118656
|
1712.09937
|
Henriette Elvang
|
Henriette Elvang, Callum R. T. Jones, Marios Hadjiantonis, and Shruti
Paranjape
|
On the Supersymmetrization of Galileon Theories in Four Dimensions
|
8 pages, no figures
| null |
10.1016/j.physletb.2018.04.032
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use on-shell amplitude techniques to study the possible $\mathcal{N}=1$
supersymmetrizations of Galileon theories in 3+1 dimensions, both in the limit
of decoupling from DBI and without. Our results are that (1) the quartic
Galileon has a supersymmetrization compatible with Galileon shift symmetry
($\phi \to \phi +c + b_\mu x^\mu$) for the scalar sector and an ordinary shift
symmetry ($\psi \to \psi + \xi$) for the fermion sector, and it is unique at
least at 6th order in fields, but possibly not beyond; (2) the enhanced
"special Galileon" symmetry is incompatible with supersymmetry; (3) there
exists a quintic Galileon with a complex scalar preserving Galileon shift
symmetry; (4) one cannot supersymmetrize the cubic and quintic Galileon while
preserving the Galileon shift symmetry for the complex scalar; and (5) for the
quartic and quintic Galileon, we present evidence for a supersymmetrization in
which the real Galileon scalar is partnered with an R-axion to form a complex
scalar which only has an ordinary shift symmetry.
|
[
{
"created": "Thu, 28 Dec 2017 17:14:46 GMT",
"version": "v1"
}
] |
2018-05-02
|
[
[
"Elvang",
"Henriette",
""
],
[
"Jones",
"Callum R. T.",
""
],
[
"Hadjiantonis",
"Marios",
""
],
[
"Paranjape",
"Shruti",
""
]
] |
We use on-shell amplitude techniques to study the possible $\mathcal{N}=1$ supersymmetrizations of Galileon theories in 3+1 dimensions, both in the limit of decoupling from DBI and without. Our results are that (1) the quartic Galileon has a supersymmetrization compatible with Galileon shift symmetry ($\phi \to \phi +c + b_\mu x^\mu$) for the scalar sector and an ordinary shift symmetry ($\psi \to \psi + \xi$) for the fermion sector, and it is unique at least at 6th order in fields, but possibly not beyond; (2) the enhanced "special Galileon" symmetry is incompatible with supersymmetry; (3) there exists a quintic Galileon with a complex scalar preserving Galileon shift symmetry; (4) one cannot supersymmetrize the cubic and quintic Galileon while preserving the Galileon shift symmetry for the complex scalar; and (5) for the quartic and quintic Galileon, we present evidence for a supersymmetrization in which the real Galileon scalar is partnered with an R-axion to form a complex scalar which only has an ordinary shift symmetry.
| 5.453156
| 6.146262
| 5.596045
| 5.456935
| 5.782347
| 5.792629
| 5.733794
| 5.744349
| 5.797743
| 6.15893
| 5.480558
| 5.658437
| 5.532793
| 5.531496
| 5.444296
| 5.450868
| 5.515585
| 5.480389
| 5.36305
| 5.50268
| 5.342295
|
hep-th/9206079
|
Nemanja M. Kaloper
|
Nemanja Kaloper
|
Stringy Cosmic Strings and Axion Cohomology
|
22 pages (plain TeX), UMN-TH-1024/92
|
Phys.Rev. D47 (1993) 2403-2410
|
10.1103/PhysRevD.47.2403
| null |
hep-th
| null |
The static stationary axially symmetric background ("infinite cosmic string")
of the $D=4$ string theory provided with an axion charge is studied in the
effective theory approach. The most general exact solution is constructed. It
is found that the Kalb-Ramond axion charge, present in the string topology
$R^{3} \times S^{1}$, produces nontrivial gravitational field configurations
which feature horizons. The corresponding ``no-hair'' theorems are proved which
stress uniqueness of black strings. Connection of the solutions with the gauged
WZWN sigma model constructions on the world sheet is discussed since they are
the only target spaces which hide their singularities behind horizons, and thus
obey the cosmic censorship conjecture.
|
[
{
"created": "Fri, 19 Jun 1992 19:00:15 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Kaloper",
"Nemanja",
""
]
] |
The static stationary axially symmetric background ("infinite cosmic string") of the $D=4$ string theory provided with an axion charge is studied in the effective theory approach. The most general exact solution is constructed. It is found that the Kalb-Ramond axion charge, present in the string topology $R^{3} \times S^{1}$, produces nontrivial gravitational field configurations which feature horizons. The corresponding ``no-hair'' theorems are proved which stress uniqueness of black strings. Connection of the solutions with the gauged WZWN sigma model constructions on the world sheet is discussed since they are the only target spaces which hide their singularities behind horizons, and thus obey the cosmic censorship conjecture.
| 17.376074
| 17.493681
| 17.943159
| 14.613139
| 17.101255
| 16.221958
| 17.233862
| 15.835765
| 17.077578
| 17.797001
| 16.054123
| 15.90778
| 16.224751
| 15.518506
| 15.772367
| 16.067142
| 15.965458
| 16.238806
| 15.643371
| 16.0187
| 15.724908
|
hep-th/9912042
|
K. A. Saraikin
|
Kirill Saraikin
|
Conformal Blocks and Correlators in WZNW Model. I. Genus Zero
|
LaTeX, 25pp
| null | null |
ITEP-TH-52/99
|
hep-th
| null |
We consider the free field approach or bosonization technique for the
Wess-Zumino-Novikov-Witten model with arbitrary Kac-Moody algebra on Riemann
surface of genus zero. This subject was much studied previously, and the paper
can be partially taken as a brief survey. The way to obtain well-known
Schechtman-Varchenko solutions of the Knizhnik-Zamolodchikov equations as
certain correlators in free chiral theory is revisited. This gives rise to
simple description of space of the WZNW conformal blocks. The general $N$-point
correlators of the model are constructed from the conformal blocks using
non-chiral action for free fields perturbed by exactly marginal terms. The
method involved generalizes the Dotsenko-Fateev prescription for minimal
models. As a consequence of this construction we obtain new integral
identities.
|
[
{
"created": "Mon, 6 Dec 1999 15:01:12 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Saraikin",
"Kirill",
""
]
] |
We consider the free field approach or bosonization technique for the Wess-Zumino-Novikov-Witten model with arbitrary Kac-Moody algebra on Riemann surface of genus zero. This subject was much studied previously, and the paper can be partially taken as a brief survey. The way to obtain well-known Schechtman-Varchenko solutions of the Knizhnik-Zamolodchikov equations as certain correlators in free chiral theory is revisited. This gives rise to simple description of space of the WZNW conformal blocks. The general $N$-point correlators of the model are constructed from the conformal blocks using non-chiral action for free fields perturbed by exactly marginal terms. The method involved generalizes the Dotsenko-Fateev prescription for minimal models. As a consequence of this construction we obtain new integral identities.
| 10.689562
| 11.398187
| 13.767962
| 11.62117
| 12.282045
| 12.356719
| 11.283573
| 11.64741
| 10.935205
| 13.208617
| 11.179511
| 11.059991
| 11.808066
| 10.946283
| 11.151767
| 11.514416
| 11.269669
| 11.33273
| 10.712176
| 11.506021
| 10.767015
|
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