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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1311.7074
|
Patricio Salgado-Rebolledo
|
Fabrizio Canfora, Pablo Pais, Patricio Salgado-Rebolledo
|
Gribov gap equation at finite temperature
|
22 pages, 9 figures. Comments added, relevant references included
|
Eur. Phys. J. C (2014) 74:2855
|
10.1140/epjc/s10052-014-2855-x
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper the Gribov gap equation at finite temperature is analyzed. The
solutions of the gap equation (which depend explicitly on the temperature)
determine the structure of the gluon propagator within the semi-classical
Gribov approach. The present analysis is consistent with the standard
confinement scenario for low temperatures, while for high enough temperatures,
deconfinement takes place and a free gluon propagator is obtained. It also
suggests the presence of the so-called semi-quark-gluon-plasma phase in between
the confined and quark-gluon plasma phases.
|
[
{
"created": "Wed, 27 Nov 2013 19:05:31 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Dec 2013 16:55:52 GMT",
"version": "v2"
},
{
"created": "Thu, 5 Jun 2014 15:58:49 GMT",
"version": "v3"
}
] |
2014-06-06
|
[
[
"Canfora",
"Fabrizio",
""
],
[
"Pais",
"Pablo",
""
],
[
"Salgado-Rebolledo",
"Patricio",
""
]
] |
In this paper the Gribov gap equation at finite temperature is analyzed. The solutions of the gap equation (which depend explicitly on the temperature) determine the structure of the gluon propagator within the semi-classical Gribov approach. The present analysis is consistent with the standard confinement scenario for low temperatures, while for high enough temperatures, deconfinement takes place and a free gluon propagator is obtained. It also suggests the presence of the so-called semi-quark-gluon-plasma phase in between the confined and quark-gluon plasma phases.
|
hep-th/0201035
|
Hiroshi Itoyama
|
H. Itoyama, S. Nakamura
|
Extension of Boundary String Field Theory on Disc and RP2 Worldsheet
Geometries
|
19 pages, Latex, revised version, to be published in Phys. Rev. D
|
Phys.Rev. D66 (2002) 046006
|
10.1103/PhysRevD.66.046006
|
OU-HET-404, KEK-TH-794
|
hep-th
| null |
We present a construction of open-closed string field theory based on disc
and RP2 geometries. Finding an appropriate BRS operator in the case of the RP2
geometry, we generalize the background independent open string field theory (or
boundary string field theory) of Witten on a unit disc. The coupling constant
flow at the closed string side is driven by the scalar operator inserted at the
nontrivial loop of RP2. We discuss the off-shell extension of the
boundary/crosscap states. Our construction provides an interpolation of
orientifold planes of various dimensions as well as that of D-branes.
|
[
{
"created": "Mon, 7 Jan 2002 07:18:39 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Aug 2002 09:31:19 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Itoyama",
"H.",
""
],
[
"Nakamura",
"S.",
""
]
] |
We present a construction of open-closed string field theory based on disc and RP2 geometries. Finding an appropriate BRS operator in the case of the RP2 geometry, we generalize the background independent open string field theory (or boundary string field theory) of Witten on a unit disc. The coupling constant flow at the closed string side is driven by the scalar operator inserted at the nontrivial loop of RP2. We discuss the off-shell extension of the boundary/crosscap states. Our construction provides an interpolation of orientifold planes of various dimensions as well as that of D-branes.
|
1806.07130
|
Aradhya Shukla
|
R. Kumar and A. Shukla
|
Supersymmetric Quantum Spherical Model: A Model for Hodge Theory
|
8 Pages, Title modified, Minor modifications in abstract and main
text, New references added, 0 figure, revtex4, v3: typos fixed
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss various symmetry properties of the N = 2 supersymmetric quantum
spin model in one (0 + 1)-dimension of spacetime and provide their relevance in
the realm of the mathematics of differential geometry. We show one-to-one
mapping between the continuous symmetry transformations (and corresponding
generators) and de Rham cohomological operators of differential geometry. One
of the novel observations is the existence of discrete symmetry transformations
which play a crucial role in providing the physical realization of the Hodge
duality ($\star$) operation. Thus, the present model provides a toy model for
the Hodge theory.
|
[
{
"created": "Tue, 19 Jun 2018 09:43:39 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Jul 2018 13:39:03 GMT",
"version": "v2"
},
{
"created": "Wed, 28 Oct 2020 12:40:33 GMT",
"version": "v3"
}
] |
2020-10-29
|
[
[
"Kumar",
"R.",
""
],
[
"Shukla",
"A.",
""
]
] |
We discuss various symmetry properties of the N = 2 supersymmetric quantum spin model in one (0 + 1)-dimension of spacetime and provide their relevance in the realm of the mathematics of differential geometry. We show one-to-one mapping between the continuous symmetry transformations (and corresponding generators) and de Rham cohomological operators of differential geometry. One of the novel observations is the existence of discrete symmetry transformations which play a crucial role in providing the physical realization of the Hodge duality ($\star$) operation. Thus, the present model provides a toy model for the Hodge theory.
|
1805.06739
|
Ivan Todorov
|
Ivan Todorov and Svetla Drenska
|
Octonions, exceptional Jordan algebra and the role of the group F_4 in
particle physics
|
Final version - new section 5 and references added, typos corrected;
51 pages, 2 figures
|
Adv. Appl. Clifford Alg. 28 (2018) 82
|
10.1007/s00006-018-0899-y
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Normed division rings are reviewed in the more general framework of
composition algebras that include the split (indefinite metric) case. The
Jordan - von Neumann - Wigner classification of finite dimensional Jordan
algebras is outlined with special attention to the 27 dimensional exceptional
Jordan algebra J. The automorphism group F_4 of J and its maximal Borel - de
Siebenthal subgroups are studied in detail and applied to the classification of
fundamental fermions and gauge bosons. Their intersection in F_4 is
demonstrated to coincide with the gauge group of the Standard Model of particle
physics. The first generation's fundamental fermions form a basis of primitive
idempotents in the euclidean extension of the Jordan subalgebra JSpin_9 of J.
|
[
{
"created": "Thu, 17 May 2018 13:00:33 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Sep 2018 09:43:20 GMT",
"version": "v2"
}
] |
2018-09-28
|
[
[
"Todorov",
"Ivan",
""
],
[
"Drenska",
"Svetla",
""
]
] |
Normed division rings are reviewed in the more general framework of composition algebras that include the split (indefinite metric) case. The Jordan - von Neumann - Wigner classification of finite dimensional Jordan algebras is outlined with special attention to the 27 dimensional exceptional Jordan algebra J. The automorphism group F_4 of J and its maximal Borel - de Siebenthal subgroups are studied in detail and applied to the classification of fundamental fermions and gauge bosons. Their intersection in F_4 is demonstrated to coincide with the gauge group of the Standard Model of particle physics. The first generation's fundamental fermions form a basis of primitive idempotents in the euclidean extension of the Jordan subalgebra JSpin_9 of J.
|
hep-th/9511191
|
Elcio Abdalla
|
E. Abdalla, M.C.B. Abdalla and K.D. Rothe
|
Massive Two-Dimensional Quantum Chromodynamics
|
13 pages, plain tex; some misprints have been corrected
| null | null |
CERN-TH/95-310, IC/385
|
hep-th
| null |
In this work we study the zero-charge sector of massive two-dimensional
Quantum Chromodynamics in the decoupled formulation. We find that some general
features of the massless theory, concerning the constraints and the right- and
left-moving character of the corresponding BRST currents, survive in the
massive case. The implications for the integrability properties previously
valid in the massless case, and the structure of the Hilbert space are
discussed.
|
[
{
"created": "Mon, 27 Nov 1995 10:32:52 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Dec 1995 13:03:16 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Abdalla",
"E.",
""
],
[
"Abdalla",
"M. C. B.",
""
],
[
"Rothe",
"K. D.",
""
]
] |
In this work we study the zero-charge sector of massive two-dimensional Quantum Chromodynamics in the decoupled formulation. We find that some general features of the massless theory, concerning the constraints and the right- and left-moving character of the corresponding BRST currents, survive in the massive case. The implications for the integrability properties previously valid in the massless case, and the structure of the Hilbert space are discussed.
|
hep-th/0312141
|
German Sierra
|
A. LeClair, J.M. Roman, G. Sierra (IFT, UAM-CSIC, Madrid, Spain)
|
Log-periodic behavior of finite size effects in field theories with RG
limit cycles
|
21 pages, 7 figs, RevTex4
|
Nucl.Phys. B700 (2004) 407-435
|
10.1016/j.nuclphysb.2004.08.033
| null |
hep-th
| null |
We compute the finite size effects in the ground state energy, equivalently
the effective central charge c_{eff}, based on S-matrix theories recently
conjectured to describe a cyclic regime of the Kosterlitz-Thouless
renormalization group flows. The effective central charge has periodic
properties consistent with renormalization group predictions. Whereas c_{eff}
for the massive case has a singularity in the very deep ultra-violet, we argue
that the massless version is non-singular and periodic on all length scales.
|
[
{
"created": "Fri, 12 Dec 2003 18:14:48 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"LeClair",
"A.",
"",
"IFT, UAM-CSIC, Madrid, Spain"
],
[
"Roman",
"J. M.",
"",
"IFT, UAM-CSIC, Madrid, Spain"
],
[
"Sierra",
"G.",
"",
"IFT, UAM-CSIC, Madrid, Spain"
]
] |
We compute the finite size effects in the ground state energy, equivalently the effective central charge c_{eff}, based on S-matrix theories recently conjectured to describe a cyclic regime of the Kosterlitz-Thouless renormalization group flows. The effective central charge has periodic properties consistent with renormalization group predictions. Whereas c_{eff} for the massive case has a singularity in the very deep ultra-violet, we argue that the massless version is non-singular and periodic on all length scales.
|
2006.14159
|
Kin-ya Oda
|
Kenzo Ishikawa, Kenji Nishiwaki, and Kin-ya Oda
|
Scalar scattering amplitude in Gaussian wave-packet formalism
|
31 pages, 1 figure, minor typo corrections, version to appear in PTEP
| null | null | null |
hep-th hep-ph quant-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We compute an $s$-channel $2\to2$ scalar scattering
$\phi\phi\to\Phi\to\phi\phi$ in the Gaussian wave-packet formalism at the
tree-level. We find that wave-packet effects, including shifts of the pole and
width of the propagator of $\Phi$, persist even when we do not take into
account the time-boundary effect for $2\to2$, proposed earlier. The result can
be interpreted that a heavy scalar $1\to2$ decay $\Phi\to\phi\phi$, taking into
account the production of $\Phi$, does not exhibit the in-state time-boundary
effect unless we further take into account in-boundary effects for the $2\to2$
scattering. We also show various plane-wave limits.
|
[
{
"created": "Thu, 25 Jun 2020 04:06:51 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Aug 2020 05:01:24 GMT",
"version": "v2"
}
] |
2020-08-19
|
[
[
"Ishikawa",
"Kenzo",
""
],
[
"Nishiwaki",
"Kenji",
""
],
[
"Oda",
"Kin-ya",
""
]
] |
We compute an $s$-channel $2\to2$ scalar scattering $\phi\phi\to\Phi\to\phi\phi$ in the Gaussian wave-packet formalism at the tree-level. We find that wave-packet effects, including shifts of the pole and width of the propagator of $\Phi$, persist even when we do not take into account the time-boundary effect for $2\to2$, proposed earlier. The result can be interpreted that a heavy scalar $1\to2$ decay $\Phi\to\phi\phi$, taking into account the production of $\Phi$, does not exhibit the in-state time-boundary effect unless we further take into account in-boundary effects for the $2\to2$ scattering. We also show various plane-wave limits.
|
2008.13119
|
Michael Thies
|
Michael Thies
|
Duality study of chiral Heisenberg Gross-Neveu model in 1+1 dimensions
|
11 pages, 2 figures
|
Phys. Rev. D 102, 096006 (2020)
|
10.1103/PhysRevD.102.096006
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a version of the Gross-Neveu model in 1+1 dimensions with
discrete chiral and continuous flavor symmetry (isospin). In 2+1 dimensions,
this model is known as chiral Heisenberg Gross-Neveu model. Spontaneous
symmetry breaking and the emergence of two massless and one massive scalar
bosons are shown. A duality to the Nambu--Jona-Lasinio model with isospin is
exhibited, provided that the isovector pseudoscalar mean field is constrained
to a plane in isospin space. This enables us to find the phase diagram as a
function of temperature, chemical potential and isospin chemical potential as
well as twisted kinks. A bare mass term acts quite differently when added to
this model as compared to other chiral variants of the Gross-Neveu model.
|
[
{
"created": "Sun, 30 Aug 2020 08:45:05 GMT",
"version": "v1"
}
] |
2020-11-18
|
[
[
"Thies",
"Michael",
""
]
] |
We consider a version of the Gross-Neveu model in 1+1 dimensions with discrete chiral and continuous flavor symmetry (isospin). In 2+1 dimensions, this model is known as chiral Heisenberg Gross-Neveu model. Spontaneous symmetry breaking and the emergence of two massless and one massive scalar bosons are shown. A duality to the Nambu--Jona-Lasinio model with isospin is exhibited, provided that the isovector pseudoscalar mean field is constrained to a plane in isospin space. This enables us to find the phase diagram as a function of temperature, chemical potential and isospin chemical potential as well as twisted kinks. A bare mass term acts quite differently when added to this model as compared to other chiral variants of the Gross-Neveu model.
|
1210.0513
|
Gaurav Narain
|
Gaurav Narain and Ramesh Anishetty
|
Unitary and Renormalizable Theory of Higher Derivative Gravity
|
4 pages. To appear in JPCS-IOP. Proceedings of the conference
COSGRAV12, held at Indian Statistical Institute, Kolkata
| null |
10.1088/1742-6596/405/1/012024
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In 3+1 space-time dimensions, fourth order derivative gravity is
perturbatively renormalizable. Here it is shown that it describes a unitary
theory of gravitons (with/without an additional scalar) in a limited coupling
parameter space which includes standard cosmology. The running of gravitational
constant which includes contribution of graviton is computed. It is shown that
generically Newton's constant vanishes at short distance in this perturbatively
renormalizable and unitary theory.
|
[
{
"created": "Mon, 1 Oct 2012 19:23:10 GMT",
"version": "v1"
}
] |
2015-06-11
|
[
[
"Narain",
"Gaurav",
""
],
[
"Anishetty",
"Ramesh",
""
]
] |
In 3+1 space-time dimensions, fourth order derivative gravity is perturbatively renormalizable. Here it is shown that it describes a unitary theory of gravitons (with/without an additional scalar) in a limited coupling parameter space which includes standard cosmology. The running of gravitational constant which includes contribution of graviton is computed. It is shown that generically Newton's constant vanishes at short distance in this perturbatively renormalizable and unitary theory.
|
hep-th/0502012
|
Chong-Sun Chu
|
Chong-Sun Chu, Ko Furuta, Takeo Inami
|
Locality, Causality and Noncommutative Geometry
|
16 pages, LaTeX, 4 figures
|
Int.J.Mod.Phys. A21 (2006) 67-82
|
10.1142/S0217751X06024876
| null |
hep-th
| null |
We analyse the causality condition in noncommutative field theory and show
that the nonlocality of noncommutative interaction leads to a modification of
the light cone to the light wedge. This effect is generic for noncommutative
geometry. We also check that the usual form of energy condition is violated and
propose that a new form is needed in noncommutative spacetime. On reduction
from light cone to light wedge, it looks like the noncommutative dimensions are
effectively washed out and suggests a reformulation of noncommutative field
theory in terms of lower dimensional degree of freedom. This reduction of
dimensions due to noncommutative geometry could play a key role in explaining
the holographic property of quantum gravity.
|
[
{
"created": "Tue, 1 Feb 2005 12:56:49 GMT",
"version": "v1"
},
{
"created": "Wed, 18 May 2005 10:12:46 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Chu",
"Chong-Sun",
""
],
[
"Furuta",
"Ko",
""
],
[
"Inami",
"Takeo",
""
]
] |
We analyse the causality condition in noncommutative field theory and show that the nonlocality of noncommutative interaction leads to a modification of the light cone to the light wedge. This effect is generic for noncommutative geometry. We also check that the usual form of energy condition is violated and propose that a new form is needed in noncommutative spacetime. On reduction from light cone to light wedge, it looks like the noncommutative dimensions are effectively washed out and suggests a reformulation of noncommutative field theory in terms of lower dimensional degree of freedom. This reduction of dimensions due to noncommutative geometry could play a key role in explaining the holographic property of quantum gravity.
|
1506.08542
|
Razvan-Gheorghe Gurau
|
Dario Benedetti, Razvan Gurau
|
Symmetry breaking in tensor models
| null |
Phys. Rev. D 92, 104041 (2015)
|
10.1103/PhysRevD.92.104041
|
LPT-Orsay-15-44
|
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we analyze a quartic tensor model with one interaction for a
tensor of arbitrary rank. This model has a critical point where a continuous
limit of infinitely refined random geometries is reached. We show that the
critical point corresponds to a phase transition in the tensor model associated
to a breaking of the unitary symmetry. We analyze the model in the two phases
and prove that, in a double scaling limit, the symmetric phase corresponds to a
theory of infinitely refined random surfaces, while the broken phase
corresponds to a theory of infinitely refined random nodal surfaces. At leading
order in the double scaling limit planar surfaces dominate in the symmetric
phase, and planar nodal surfaces dominate in the broken phase.
|
[
{
"created": "Mon, 29 Jun 2015 08:38:29 GMT",
"version": "v1"
}
] |
2015-12-02
|
[
[
"Benedetti",
"Dario",
""
],
[
"Gurau",
"Razvan",
""
]
] |
In this paper we analyze a quartic tensor model with one interaction for a tensor of arbitrary rank. This model has a critical point where a continuous limit of infinitely refined random geometries is reached. We show that the critical point corresponds to a phase transition in the tensor model associated to a breaking of the unitary symmetry. We analyze the model in the two phases and prove that, in a double scaling limit, the symmetric phase corresponds to a theory of infinitely refined random surfaces, while the broken phase corresponds to a theory of infinitely refined random nodal surfaces. At leading order in the double scaling limit planar surfaces dominate in the symmetric phase, and planar nodal surfaces dominate in the broken phase.
|
hep-th/0105277
|
Alberto Santambrogio
|
Andrea Refolli, Alberto Santambrogio, Niccolo' Terzi, Daniela Zanon
|
F^5 contributions to the nonabelian Born Infeld action from a
supersymmetric Yang-Mills five-point function
|
25 pages, 7 figures. v4: factor of 2 corrected in formula in the
first line after (6.3), and consequently in (6.3)-(6.6); final results in
(6.7) and (6.8) agree with hep-th/0210146. Erratum to appear in Nucl.Phys. B
|
Nucl.Phys. B613 (2001) 64-86; Erratum-ibid. B648 (2003) 453-454
|
10.1016/S0550-3213(01)00368-6
|
IFUM-FT-688
|
hep-th
| null |
We consider the N=4 supersymmetric Yang-Mills theory in four dimensions. We
compute the one-loop contributions to the effective action with five external
vector fields and compare them with corresponding results in open superstring
theory. Our calculation determines the structure of the F^5 terms that appear
in the nonabelian generalization of the Born Infeld action. The trace operation
on the gauge group indices receives contributions from the symmetric as well as
the antisymmetric part. We find that in order to study corrections to the
symmetrized trace prescription one has to consistently take into account
derivative contributions not only with antisymmetrized products
\nabla_{[\mu}\nabla_{\nu]} but also with symmetrized ones
\nabla_{(\mu}\nabla_{\nu)}.
|
[
{
"created": "Mon, 28 May 2001 16:08:45 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Jun 2001 15:52:04 GMT",
"version": "v2"
},
{
"created": "Wed, 29 Aug 2001 13:16:24 GMT",
"version": "v3"
},
{
"created": "Wed, 13 Nov 2002 15:47:36 GMT",
"version": "v4"
}
] |
2009-11-07
|
[
[
"Refolli",
"Andrea",
""
],
[
"Santambrogio",
"Alberto",
""
],
[
"Terzi",
"Niccolo'",
""
],
[
"Zanon",
"Daniela",
""
]
] |
We consider the N=4 supersymmetric Yang-Mills theory in four dimensions. We compute the one-loop contributions to the effective action with five external vector fields and compare them with corresponding results in open superstring theory. Our calculation determines the structure of the F^5 terms that appear in the nonabelian generalization of the Born Infeld action. The trace operation on the gauge group indices receives contributions from the symmetric as well as the antisymmetric part. We find that in order to study corrections to the symmetrized trace prescription one has to consistently take into account derivative contributions not only with antisymmetrized products \nabla_{[\mu}\nabla_{\nu]} but also with symmetrized ones \nabla_{(\mu}\nabla_{\nu)}.
|
2005.08715
|
Amin Faraji Astaneh
|
Mohsen Alishahiha, Amin Faraji Astaneh and Ali Naseh
|
Island in the Presence of Higher Derivative Terms
|
18 pages, 3 figures, published version
| null |
10.1007/JHEP02(2021)035
| null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using extended island formula we compute entanglement entropy of Hawking
radiation for black hole solutions of certain gravitational models containing
higher derivative terms. To be concrete we consider two different four
dimensional models to compute entropy for both asymptotically flat and AdS
black holes. One observes that the resultant entropy follows the Page curve,
thanks to the contribution of the island, despite the fact that the
corresponding gravitational models might be non-unitary.
|
[
{
"created": "Mon, 18 May 2020 13:44:03 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Feb 2021 17:44:04 GMT",
"version": "v2"
}
] |
2021-02-24
|
[
[
"Alishahiha",
"Mohsen",
""
],
[
"Astaneh",
"Amin Faraji",
""
],
[
"Naseh",
"Ali",
""
]
] |
Using extended island formula we compute entanglement entropy of Hawking radiation for black hole solutions of certain gravitational models containing higher derivative terms. To be concrete we consider two different four dimensional models to compute entropy for both asymptotically flat and AdS black holes. One observes that the resultant entropy follows the Page curve, thanks to the contribution of the island, despite the fact that the corresponding gravitational models might be non-unitary.
|
1507.07555
|
Tokiro Numasawa
|
Masamichi Miyaji, Tokiro Numasawa, Noburo Shiba, Tadashi Takayanagi,
Kento Watanabe
|
Gravity Dual of Quantum Information Metric
|
5 pages plus appendices, Revtex, 2 figures
|
Phys. Rev. Lett. 115, 261602 (2015)
|
10.1103/PhysRevLett.115.261602
|
YITP-15-62, IPMU15-0119
|
hep-th cond-mat.str-el quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study a quantum information metric (or fidelity susceptibility) in
conformal field theories with respect to a small perturbation by a primary
operator. We argue that its gravity dual is approximately given by a volume of
maximal time slice in an AdS spacetime when the perturbation is exactly
marginal. We confirm our claim in several examples.
|
[
{
"created": "Mon, 27 Jul 2015 20:00:34 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Jul 2015 08:10:28 GMT",
"version": "v2"
}
] |
2016-01-12
|
[
[
"Miyaji",
"Masamichi",
""
],
[
"Numasawa",
"Tokiro",
""
],
[
"Shiba",
"Noburo",
""
],
[
"Takayanagi",
"Tadashi",
""
],
[
"Watanabe",
"Kento",
""
]
] |
We study a quantum information metric (or fidelity susceptibility) in conformal field theories with respect to a small perturbation by a primary operator. We argue that its gravity dual is approximately given by a volume of maximal time slice in an AdS spacetime when the perturbation is exactly marginal. We confirm our claim in several examples.
|
hep-th/0606196
|
Alexei Semikhatov
|
BL Feigin, AM Gainutdinov, AM Semikhatov, IYu Tipunin
|
Logarithmic extensions of minimal models: characters and modular
transformations
|
43pp., AMSLaTeX++. V3: Some explanatory comments added, notational
inaccuracies corrected, references added
|
Nucl.Phys.B757:303-343,2006
|
10.1016/j.nuclphysb.2006.09.019
| null |
hep-th cond-mat.mes-hall math-ph math.MP math.QA math.RT
| null |
We study logarithmic conformal field models that extend the (p,q) Virasoro
minimal models. For coprime positive integers $p$ and $q$, the model is defined
as the kernel of the two minimal-model screening operators. We identify the
field content, construct the W-algebra W(p,q) that is the model symmetry (the
maximal local algebra in the kernel), describe its irreducible modules, and
find their characters. We then derive the SL(2,Z) representation on the space
of torus amplitudes and study its properties. From the action of the
screenings, we also identify the quantum group that is Kazhdan--Lusztig-dual to
the logarithmic model.
|
[
{
"created": "Tue, 20 Jun 2006 17:42:43 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Jul 2006 09:19:22 GMT",
"version": "v2"
},
{
"created": "Sun, 24 Sep 2006 05:31:41 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Feigin",
"BL",
""
],
[
"Gainutdinov",
"AM",
""
],
[
"Semikhatov",
"AM",
""
],
[
"Tipunin",
"IYu",
""
]
] |
We study logarithmic conformal field models that extend the (p,q) Virasoro minimal models. For coprime positive integers $p$ and $q$, the model is defined as the kernel of the two minimal-model screening operators. We identify the field content, construct the W-algebra W(p,q) that is the model symmetry (the maximal local algebra in the kernel), describe its irreducible modules, and find their characters. We then derive the SL(2,Z) representation on the space of torus amplitudes and study its properties. From the action of the screenings, we also identify the quantum group that is Kazhdan--Lusztig-dual to the logarithmic model.
|
2207.05361
|
Jan Troost
|
Sujay K. Ashok and Jan Troost
|
Long Strings and Quasinormal Winding Modes
|
31 pages
| null |
10.1007/JHEP09(2022)172
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the path integral for a particle on the covering group of SL(2,R)
using a decomposition of the Lie algebra into adjoint orbits. We thus
intuitively derive the Hilbert space of the particle on the group including
discrete and continuous representations. Next, we perform a Lorentzian
hyperbolic orbifold of the partition function and relate it to the Euclidean
BTZ partition function. We use the particle model to inform further discussion
of the spectral content of the one loop vacuum amplitude for strings on BTZ
black hole backgrounds. We argue that the poles in the loop integrand code
contributions of long string modes that wind the black hole. We moreover
identify saddle point contributions of quasinormal winding modes.
|
[
{
"created": "Tue, 12 Jul 2022 07:52:15 GMT",
"version": "v1"
}
] |
2022-10-19
|
[
[
"Ashok",
"Sujay K.",
""
],
[
"Troost",
"Jan",
""
]
] |
We compute the path integral for a particle on the covering group of SL(2,R) using a decomposition of the Lie algebra into adjoint orbits. We thus intuitively derive the Hilbert space of the particle on the group including discrete and continuous representations. Next, we perform a Lorentzian hyperbolic orbifold of the partition function and relate it to the Euclidean BTZ partition function. We use the particle model to inform further discussion of the spectral content of the one loop vacuum amplitude for strings on BTZ black hole backgrounds. We argue that the poles in the loop integrand code contributions of long string modes that wind the black hole. We moreover identify saddle point contributions of quasinormal winding modes.
|
0709.0570
|
Andy O'Bannon
|
Andreas Karch and Andy O'Bannon
|
Holographic Thermodynamics at Finite Baryon Density: Some Exact Results
|
21 pages, 1 figure; v2 corrected typos, added comments to sections
2.2 and 2.4
|
JHEP 0711:074,2007
|
10.1088/1126-6708/2007/11/074
| null |
hep-th
| null |
We use the AdS/CFT correspondence to study the thermodynamics of massive N=2
supersymmetric hypermultiplets coupled to N=4 supersymmetric SU(Nc) Yang-Mills
theory in the limits of large Nc and large 't Hooft coupling. In particular, we
study the theory at finite baryon number density. At zero temperature, we
present an exact expression for the hypermultiplets' leading-order contribution
to the free energy, and in the supergravity description we clarify which
D-brane configuration is appropriate for any given value of the chemical
potential. We find a second-order phase transition when the chemical potential
equals the mass. At finite temperature, we present an exact expression for the
hypermultiplets' leading-order contribution to the free energy at zero mass.
|
[
{
"created": "Wed, 5 Sep 2007 05:34:46 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Nov 2007 07:16:47 GMT",
"version": "v2"
}
] |
2009-11-18
|
[
[
"Karch",
"Andreas",
""
],
[
"O'Bannon",
"Andy",
""
]
] |
We use the AdS/CFT correspondence to study the thermodynamics of massive N=2 supersymmetric hypermultiplets coupled to N=4 supersymmetric SU(Nc) Yang-Mills theory in the limits of large Nc and large 't Hooft coupling. In particular, we study the theory at finite baryon number density. At zero temperature, we present an exact expression for the hypermultiplets' leading-order contribution to the free energy, and in the supergravity description we clarify which D-brane configuration is appropriate for any given value of the chemical potential. We find a second-order phase transition when the chemical potential equals the mass. At finite temperature, we present an exact expression for the hypermultiplets' leading-order contribution to the free energy at zero mass.
|
1101.4181
|
Ahmed Farag Ali
|
Ahmed Farag Ali
|
Minimal Length in Quantum Gravity, Equivalence Principle and Holographic
Entropy Bound
|
12 pages, no figures, recommended to be published at Class.Quant.Grav
|
Class.Quant.Grav.28:065013,2011
|
10.1088/0264-9381/28/6/065013
| null |
hep-th gr-qc hep-ph quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A possible discrepancy has been found between the results of a neutron
interferometry experiment and Quantum Mechanics. This experiment suggests that
the weak equivalence principle is violated at small length scales, which
quantum mechanics cannot explain. In this paper, we investigated whether the
Generalized Uncertainty Principle (GUP), proposed by some approaches to quantum
gravity such as String Theory and Doubly Special Relativity Theories (DSR), can
explain the violation of the weak equivalence principle at small length scales.
We also investigated the consequences of the GUP on the Liouville theorem in
statistical mechanics. We have found a new form of invariant phase space in the
presence of GUP. This result should modify the density states and affect the
calculation of the entropy bound of local quantum field theory, the
cosmological constant, black body radiation, etc. Furthermore, such
modification may have observable consequences at length scales much larger than
the Planck scale. This modification leads to a \sqrt{A}-type correction to the
bound of the maximal entropy of a bosonic field which would definitely shed
some light on the holographic theory.
|
[
{
"created": "Fri, 21 Jan 2011 16:57:28 GMT",
"version": "v1"
}
] |
2011-03-02
|
[
[
"Ali",
"Ahmed Farag",
""
]
] |
A possible discrepancy has been found between the results of a neutron interferometry experiment and Quantum Mechanics. This experiment suggests that the weak equivalence principle is violated at small length scales, which quantum mechanics cannot explain. In this paper, we investigated whether the Generalized Uncertainty Principle (GUP), proposed by some approaches to quantum gravity such as String Theory and Doubly Special Relativity Theories (DSR), can explain the violation of the weak equivalence principle at small length scales. We also investigated the consequences of the GUP on the Liouville theorem in statistical mechanics. We have found a new form of invariant phase space in the presence of GUP. This result should modify the density states and affect the calculation of the entropy bound of local quantum field theory, the cosmological constant, black body radiation, etc. Furthermore, such modification may have observable consequences at length scales much larger than the Planck scale. This modification leads to a \sqrt{A}-type correction to the bound of the maximal entropy of a bosonic field which would definitely shed some light on the holographic theory.
|
hep-th/0204137
|
Kumar S. Gupta
|
Kumar S. Gupta
|
Near-Horizon Conformal Structure and Entropy of Schwarzschild Black
Holes
|
Based on the invited talk presented at the Indo-Russian International
Workshop on Quantum Gravity, Strings and Integrable Models at IMSc., Chennai,
India during January 15-19, 2002
| null | null |
SINP-TNP/02-13
|
hep-th gr-qc
| null |
Near-horizon conformal structure of a massive Schwarzschild black hole of
mass M is analyzed using a scalar field as a simple probe of the background
geometry. The near-horizon dynamics is governed by an operator which is related
to the Virasoro algebra and admits a one-parameter family of self-adjoint
extensions described by a real parameter z. When z satisfies a suitable
contraint, the corresponding wavefunctions exhibit scaling behaviour in a
band-like region near the horizon of the black hole. This formalism is
consistent with the Bekenstein-Hawking entropy formula and naturally produces
the -3/2 log M^2 correction term to the black hole entropy with other
subleading corrections exponentially suppressed. This precise form for the
black hole entropy is expected on general grounds in any conformal field
theoretic description of the problem. The presence of the Virasoro algebra and
the scaling properties of the associated wavefunctions in the near-horizon
region together with the appearance of the logarithmic correction to the
Bekenstein-Hawking entropy provide strong evidence for the near-horizon
conformal structure in this system.
|
[
{
"created": "Wed, 17 Apr 2002 05:27:13 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Gupta",
"Kumar S.",
""
]
] |
Near-horizon conformal structure of a massive Schwarzschild black hole of mass M is analyzed using a scalar field as a simple probe of the background geometry. The near-horizon dynamics is governed by an operator which is related to the Virasoro algebra and admits a one-parameter family of self-adjoint extensions described by a real parameter z. When z satisfies a suitable contraint, the corresponding wavefunctions exhibit scaling behaviour in a band-like region near the horizon of the black hole. This formalism is consistent with the Bekenstein-Hawking entropy formula and naturally produces the -3/2 log M^2 correction term to the black hole entropy with other subleading corrections exponentially suppressed. This precise form for the black hole entropy is expected on general grounds in any conformal field theoretic description of the problem. The presence of the Virasoro algebra and the scaling properties of the associated wavefunctions in the near-horizon region together with the appearance of the logarithmic correction to the Bekenstein-Hawking entropy provide strong evidence for the near-horizon conformal structure in this system.
|
hep-th/0603224
|
DaeKil Park
|
D. K. Park
|
Emissivities for the various Graviton Modes in the Background of the
Higher-Dimensional Black Hole
|
14 pages, 5 eps figures, V2: the incorrect multiplicities are
corrected. PLB version
|
Phys.Lett.B638:246-252,2006
|
10.1016/j.physletb.2006.05.043
| null |
hep-th
| null |
The Hawking emissivities for the scalar-, vector-, and tensor-mode bulk
gravitons are computed in the full range of the graviton's energy by adopting
the analytic continuation numerically when the spacetime background is
$(4+n)$-dimensional non-rotating black hole. The total emissivity for the
gravitons is only 5.16% of that for the spin-0 field when there is no extra
dimension. However, this ratio factor increases rapidly when the extra
dimensions exist. For example, this factor becomes 147.7%, 595.2% and 3496%
when the number of extra dimensions is 1, 2 and 6, respectively. This fact
indicates that the Hawking radiation for the graviton modes becomes more and
more significant and dominant with increasing the number of extra dimensions.
|
[
{
"created": "Wed, 29 Mar 2006 08:40:12 GMT",
"version": "v1"
},
{
"created": "Fri, 12 May 2006 00:33:59 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Park",
"D. K.",
""
]
] |
The Hawking emissivities for the scalar-, vector-, and tensor-mode bulk gravitons are computed in the full range of the graviton's energy by adopting the analytic continuation numerically when the spacetime background is $(4+n)$-dimensional non-rotating black hole. The total emissivity for the gravitons is only 5.16% of that for the spin-0 field when there is no extra dimension. However, this ratio factor increases rapidly when the extra dimensions exist. For example, this factor becomes 147.7%, 595.2% and 3496% when the number of extra dimensions is 1, 2 and 6, respectively. This fact indicates that the Hawking radiation for the graviton modes becomes more and more significant and dominant with increasing the number of extra dimensions.
|
1011.0996
|
Pau Figueras
|
Oscar J. C. Dias, Pau Figueras, Ricardo Monteiro, Jorge E.Santos
|
Ultraspinning instability of anti-de Sitter black holes
|
22 pages, 7 figures. v2: Reference added. Matches published version
|
JHEP 1012:067,2010
|
10.1007/JHEP12(2010)067
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Myers-Perry black holes with a single spin in d>5 have been shown to be
unstable if rotating sufficiently rapidly. We extend the numerical analysis
which allowed for that result to the asymptotically AdS case. We determine
numerically the stationary perturbations that mark the onset of the
instabilities for the modes that preserve the rotational symmetries of the
background. The parameter space of solutions is thoroughly analysed, and the
onset of the instabilities is obtained as a function of the cosmological
constant. Each of these perturbations has been conjectured to represent a
bifurcation point to a new phase of stationary AdS black holes, and this is
consistent with our results.
|
[
{
"created": "Wed, 3 Nov 2010 20:00:25 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Jan 2011 15:57:56 GMT",
"version": "v2"
}
] |
2015-03-17
|
[
[
"Dias",
"Oscar J. C.",
""
],
[
"Figueras",
"Pau",
""
],
[
"Monteiro",
"Ricardo",
""
],
[
"Santos",
"Jorge E.",
""
]
] |
Myers-Perry black holes with a single spin in d>5 have been shown to be unstable if rotating sufficiently rapidly. We extend the numerical analysis which allowed for that result to the asymptotically AdS case. We determine numerically the stationary perturbations that mark the onset of the instabilities for the modes that preserve the rotational symmetries of the background. The parameter space of solutions is thoroughly analysed, and the onset of the instabilities is obtained as a function of the cosmological constant. Each of these perturbations has been conjectured to represent a bifurcation point to a new phase of stationary AdS black holes, and this is consistent with our results.
|
hep-th/9405187
|
Andrei Linde
|
Lev Kofman, Andrei Linde, and Alexei Starobinsky
|
Reheating after Inflation
|
7 pages, 1 figure, LaTeX, UH-IfA-94/35; SU-ITP-94-13; YITP/U-94-15
(paper replaced by its version to be published in Phys. Rev. Lett.)
|
Phys.Rev.Lett.73:3195-3198,1994
|
10.1103/PhysRevLett.73.3195
| null |
hep-th astro-ph gr-qc hep-ph
| null |
The theory of reheating of the Universe after inflation is developed. The
transition from inflation to the hot Universe turns out to be strongly
model-dependent and typically consists of several stages. Immediately after
inflation the field $\phi$ begins rapidly rolling towards the minimum of its
effective potential. Contrary to some earlier expectations, particle production
during this stage does not lead to the appearance of an extra friction term
$\Gamma\dot\phi$ in the equation of motion of the field $\phi$. Reheating
becomes efficient only at the next stage, when the field $\phi$ rapidly
oscillates near the minimum of its effective potential. We have found that
typically in the beginning of this stage the classical inflaton field $\phi$
very rapidly (explosively) decays into $\phi$-particles or into other bosons
due to broad parametric resonance. This stage cannot be described by the
standard elementary approach to reheating based on perturbation theory. The
bosons produced at this stage, as well as some part of the classical field
$\phi$ which survives the stage of explosive reheating, should further decay
into other particles, which eventually become thermalized. The last stages of
decay can be described in terms of perturbation theory. Complete reheating is
possible only in those theories where a single massive $\phi$-particle can
decay into other particles. This imposes strong constraints on the structure of
inflationary models. On the other hand, this means that a scalar field can be a
cold dark matter candidate even if it is strongly coupled to other fields.
|
[
{
"created": "Mon, 30 May 1994 07:16:24 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Oct 1994 02:18:47 GMT",
"version": "v2"
}
] |
2009-09-29
|
[
[
"Kofman",
"Lev",
""
],
[
"Linde",
"Andrei",
""
],
[
"Starobinsky",
"Alexei",
""
]
] |
The theory of reheating of the Universe after inflation is developed. The transition from inflation to the hot Universe turns out to be strongly model-dependent and typically consists of several stages. Immediately after inflation the field $\phi$ begins rapidly rolling towards the minimum of its effective potential. Contrary to some earlier expectations, particle production during this stage does not lead to the appearance of an extra friction term $\Gamma\dot\phi$ in the equation of motion of the field $\phi$. Reheating becomes efficient only at the next stage, when the field $\phi$ rapidly oscillates near the minimum of its effective potential. We have found that typically in the beginning of this stage the classical inflaton field $\phi$ very rapidly (explosively) decays into $\phi$-particles or into other bosons due to broad parametric resonance. This stage cannot be described by the standard elementary approach to reheating based on perturbation theory. The bosons produced at this stage, as well as some part of the classical field $\phi$ which survives the stage of explosive reheating, should further decay into other particles, which eventually become thermalized. The last stages of decay can be described in terms of perturbation theory. Complete reheating is possible only in those theories where a single massive $\phi$-particle can decay into other particles. This imposes strong constraints on the structure of inflationary models. On the other hand, this means that a scalar field can be a cold dark matter candidate even if it is strongly coupled to other fields.
|
1305.2334
|
Dmitri Fursaev
|
Dmitri Fursaev
|
Quantum Entanglement on Boundaries
|
25 pages, 3 figures
| null |
10.1007/JHEP07(2013)119
| null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Quantum entanglement in 3 spatial dimensions is studied in systems with
physical boundaries when an entangling surface intersects the boundary. We show
that there are universal logarithmic boundary terms in the entanglement
R\'{e}nyi entropy and derive them for different conformal field theories and
geometrical configurations. The paper covers such topics as spectral geometry
on manifolds with conical singularities crossing the boundaries, the dependence
of the entanglement entropy on mutual position of the boundary and the
entangling surface, effects of acceleration and rotation of the boundary,
relations of coefficients in the trace anomaly to coefficients in the boundary
logarithmic terms in the entropy. The computations are done for scalar, spinor
and gauge fields.
|
[
{
"created": "Fri, 10 May 2013 13:10:40 GMT",
"version": "v1"
}
] |
2015-06-15
|
[
[
"Fursaev",
"Dmitri",
""
]
] |
Quantum entanglement in 3 spatial dimensions is studied in systems with physical boundaries when an entangling surface intersects the boundary. We show that there are universal logarithmic boundary terms in the entanglement R\'{e}nyi entropy and derive them for different conformal field theories and geometrical configurations. The paper covers such topics as spectral geometry on manifolds with conical singularities crossing the boundaries, the dependence of the entanglement entropy on mutual position of the boundary and the entangling surface, effects of acceleration and rotation of the boundary, relations of coefficients in the trace anomaly to coefficients in the boundary logarithmic terms in the entropy. The computations are done for scalar, spinor and gauge fields.
|
1809.10604
|
Shu-Heng Shao
|
Kantaro Ohmori, Nathan Seiberg, and Shu-Heng Shao
|
Sigma Models on Flags
|
59 pages, 3 figures, 1 table, typos fixed, references added
|
SciPost Phys. 6, 017 (2019)
|
10.21468/SciPostPhys.6.2.017
| null |
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study (1+1)-dimensional non-linear sigma models whose target space is the
flag manifold $U(N)\over U(N_1)\times U(N_2)\cdots U(N_m)$, with a specific
focus on the special case $U(N)/U(1)^{N}$. These generalize the well-known
$\mathbb{CP}^{N-1}$ model. The general flag model exhibits several new elements
that are not present in the special case of the $\mathbb{CP}^{N-1}$ model. It
depends on more parameters, its global symmetry can be larger, and its 't Hooft
anomalies can be more subtle. Our discussion based on symmetry and anomaly
suggests that for certain choices of the integers $N_I$ and for specific values
of the parameters the model is gapless in the IR and is described by an
$SU(N)_1$ WZW model. Some of the techniques we present can also be applied to
other cases.
|
[
{
"created": "Thu, 27 Sep 2018 16:17:10 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Oct 2018 01:04:02 GMT",
"version": "v2"
},
{
"created": "Sat, 12 Jan 2019 04:18:49 GMT",
"version": "v3"
}
] |
2019-02-06
|
[
[
"Ohmori",
"Kantaro",
""
],
[
"Seiberg",
"Nathan",
""
],
[
"Shao",
"Shu-Heng",
""
]
] |
We study (1+1)-dimensional non-linear sigma models whose target space is the flag manifold $U(N)\over U(N_1)\times U(N_2)\cdots U(N_m)$, with a specific focus on the special case $U(N)/U(1)^{N}$. These generalize the well-known $\mathbb{CP}^{N-1}$ model. The general flag model exhibits several new elements that are not present in the special case of the $\mathbb{CP}^{N-1}$ model. It depends on more parameters, its global symmetry can be larger, and its 't Hooft anomalies can be more subtle. Our discussion based on symmetry and anomaly suggests that for certain choices of the integers $N_I$ and for specific values of the parameters the model is gapless in the IR and is described by an $SU(N)_1$ WZW model. Some of the techniques we present can also be applied to other cases.
|
1812.11657
|
M\'ario Dias Jr
|
Bruno Gon\c{c}alves, M\'ario M. Dias J\'unior, Baltazar J. Ribeiro
|
The Exact Foldy-Wouthuysen Transformation for a Dirac Theory Revisited
| null |
Phys. Rev. D 99, 096015 (2019)
|
10.1103/PhysRevD.99.096015
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Exact Foldy-Wouthuysen transformation (EFWT) method is generalized here.
In principle, it is not possible to construct the EFWT to any Hamiltonian. The
transformation conditions are the same but the involution operator has a new
form. We took a special example and constructed explicitly the new involution
operator that allows one to perform the transformation. We treat the case of
the Hamiltonian with 160 possible CPT-Lorentz breaking terms, using this new
technique. The transformation was performed and physics analysis of the
equations of motion is shown.
|
[
{
"created": "Mon, 31 Dec 2018 01:00:31 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Mar 2019 23:51:15 GMT",
"version": "v2"
}
] |
2019-05-22
|
[
[
"Gonçalves",
"Bruno",
""
],
[
"Júnior",
"Mário M. Dias",
""
],
[
"Ribeiro",
"Baltazar J.",
""
]
] |
The Exact Foldy-Wouthuysen transformation (EFWT) method is generalized here. In principle, it is not possible to construct the EFWT to any Hamiltonian. The transformation conditions are the same but the involution operator has a new form. We took a special example and constructed explicitly the new involution operator that allows one to perform the transformation. We treat the case of the Hamiltonian with 160 possible CPT-Lorentz breaking terms, using this new technique. The transformation was performed and physics analysis of the equations of motion is shown.
|
hep-th/9904155
|
Mitsuko Abe
|
Mitsuko Abe and Masamichi Sato
|
Puzzles on the Duality between Heterotic and Type IIA Strings
|
Latex, 12 pages, Replacement: solution to puzzles was added, i.e.,
double K3 fibrations
|
Phys.Lett. B467 (1999) 218-224
|
10.1016/S0370-2693(99)01171-5
|
TIT/HEP-411
|
hep-th
| null |
We discuss the possibility of the extension of the duality between the webs
of heterotic string and the type IIA string to Calabi-Yau 3-folds with another
K3 fiber by comparing the dual polyhedron of Calabi-Yau 3-folds given by
Candelas, Perevalov and Rajesh.
|
[
{
"created": "Fri, 23 Apr 1999 03:10:19 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Apr 1999 08:56:51 GMT",
"version": "v2"
},
{
"created": "Wed, 25 Aug 1999 07:46:38 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Abe",
"Mitsuko",
""
],
[
"Sato",
"Masamichi",
""
]
] |
We discuss the possibility of the extension of the duality between the webs of heterotic string and the type IIA string to Calabi-Yau 3-folds with another K3 fiber by comparing the dual polyhedron of Calabi-Yau 3-folds given by Candelas, Perevalov and Rajesh.
|
1609.09318
|
Y B Wu
|
Cheng-Yuan Zhang, Ya-Bo Wu, Ya-Nan Zhang, Huan-Yu Wang, Meng-Meng Wu
|
Holographic paramagnetism-ferromagnetism phase transition with the
nonlinear electrodynamics
|
arXiv admin note: text overlap with arXiv:1212.6693, arXiv:1208.5902
by other authors
| null |
10.1016/j.nuclphysb.2016.11.017
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the probe limit, we investigate the nonlinear electrodynamical effects of
the both exponential form and the logarithmic form on the holographic
paramagnetism-ferromagnetism phase transition in the background of a
Schwarzschild-AdS black hole spacetime. Moreover, by comparing the exponential
form of nonlinear electrodynamics with the logarithmic form of nonlinear
electrodynamics and the Born-Infeld nonlinear electrodynamics which has been
presented in Ref.~\cite{Wu:2016uyj}, we find that the higher nonlinear
electrodynamics correction makes the critical temperature smaller and the
magnetic moment harder form in the case without external field. Furthermore,
the increase of nonlinear parameter b will result in extending the period of
the external magnetic field. Especially, the effect of the exponential form of
nonlinear electrodynamics on the periodicity of hysteresis loop is more
noticeable.
|
[
{
"created": "Thu, 29 Sep 2016 12:46:05 GMT",
"version": "v1"
}
] |
2017-01-04
|
[
[
"Zhang",
"Cheng-Yuan",
""
],
[
"Wu",
"Ya-Bo",
""
],
[
"Zhang",
"Ya-Nan",
""
],
[
"Wang",
"Huan-Yu",
""
],
[
"Wu",
"Meng-Meng",
""
]
] |
In the probe limit, we investigate the nonlinear electrodynamical effects of the both exponential form and the logarithmic form on the holographic paramagnetism-ferromagnetism phase transition in the background of a Schwarzschild-AdS black hole spacetime. Moreover, by comparing the exponential form of nonlinear electrodynamics with the logarithmic form of nonlinear electrodynamics and the Born-Infeld nonlinear electrodynamics which has been presented in Ref.~\cite{Wu:2016uyj}, we find that the higher nonlinear electrodynamics correction makes the critical temperature smaller and the magnetic moment harder form in the case without external field. Furthermore, the increase of nonlinear parameter b will result in extending the period of the external magnetic field. Especially, the effect of the exponential form of nonlinear electrodynamics on the periodicity of hysteresis loop is more noticeable.
|
1801.05289
|
Xiao-Liang Qi
|
Xiao-Liang Qi and Zhao Yang
|
Space-time random tensor networks and holographic duality
|
31 pages, 9 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we propose a space-time random tensor network approach for
understanding holographic duality. Using tensor networks with random link
projections, we define boundary theories with interesting holographic
properties, such as the Renyi entropies satisfying the covariant
Hubeny-Rangamani-Takayanagi formula, and operator correspondence with local
reconstruction properties. We also investigate the unitarity of boundary theory
in spacetime geometries with Lorenzian signature. Compared with the spatial
random tensor networks, the space-time generalization does not require a
particular time slicing, and provides a more covariant family of microscopic
models that may help us to understand holographic duality.
|
[
{
"created": "Tue, 16 Jan 2018 15:19:20 GMT",
"version": "v1"
}
] |
2018-01-17
|
[
[
"Qi",
"Xiao-Liang",
""
],
[
"Yang",
"Zhao",
""
]
] |
In this paper we propose a space-time random tensor network approach for understanding holographic duality. Using tensor networks with random link projections, we define boundary theories with interesting holographic properties, such as the Renyi entropies satisfying the covariant Hubeny-Rangamani-Takayanagi formula, and operator correspondence with local reconstruction properties. We also investigate the unitarity of boundary theory in spacetime geometries with Lorenzian signature. Compared with the spatial random tensor networks, the space-time generalization does not require a particular time slicing, and provides a more covariant family of microscopic models that may help us to understand holographic duality.
|
2102.11358
|
Hun Jang
|
Hun Jang and Massimo Porrati
|
Inflation, Gravity Mediated Supersymmetry Breaking, and de Sitter Vacua
in Supergravity with a K\"{a}hler-Invariant FI Term
|
22 pages. A mistake in the mass matrix of observable-sector scalars
has been corrected. Results and conclusions remain unchanged. New references
have been added
|
Phys. Rev. D 103, 105006 (2021)
|
10.1103/PhysRevD.103.105006
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use a new mechanism for generating a Fayet-Iliopoulos term in
supergravity, which is not associated to an R symmetry, to construct a
semi-realistic theory of slow-roll inflation for a theory with the same
K\"ahler potential and superpotential as the KKLT string background (without
anti-D3 branes). In our model, supersymmetry must be broken at a high scale in
a hidden sector to ensure that the cutoff of the effective field theory is
above the Hubble scale of inflation. The gravitino has a super-EeV mass and
supersymmetry breaking is communicated to the observable sector through gravity
mediation. Some mass scales of the supersymmetry-breaking soft terms in the
observable sector can be parametrically smaller than the SUSY breaking scale.
If a string realization of the new FI term were found, our model could be the
basis for a low energy effective supergravity description of realistic
superstring models of inflation.
|
[
{
"created": "Mon, 22 Feb 2021 21:00:20 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Mar 2021 20:36:18 GMT",
"version": "v2"
}
] |
2021-05-14
|
[
[
"Jang",
"Hun",
""
],
[
"Porrati",
"Massimo",
""
]
] |
We use a new mechanism for generating a Fayet-Iliopoulos term in supergravity, which is not associated to an R symmetry, to construct a semi-realistic theory of slow-roll inflation for a theory with the same K\"ahler potential and superpotential as the KKLT string background (without anti-D3 branes). In our model, supersymmetry must be broken at a high scale in a hidden sector to ensure that the cutoff of the effective field theory is above the Hubble scale of inflation. The gravitino has a super-EeV mass and supersymmetry breaking is communicated to the observable sector through gravity mediation. Some mass scales of the supersymmetry-breaking soft terms in the observable sector can be parametrically smaller than the SUSY breaking scale. If a string realization of the new FI term were found, our model could be the basis for a low energy effective supergravity description of realistic superstring models of inflation.
|
1701.03552
|
Lorenz Eberhardt
|
Lorenz Eberhardt, Matthias R. Gaberdiel, Rajesh Gopakumar, Wei Li
|
BPS spectrum on AdS$_3\times $S$^3 \times $S$^3 \times $S$^1$
|
36 pages; ancillary file included, v2: changed statement about
spectrally flowed sectors, minor typos corrected
|
JHEP 1703: 124 (2017)
|
10.1007/JHEP03(2017)124
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The BPS spectrum of string theory on AdS$_3\times {\rm S}^3 \times {\rm S}^3
\times {\rm S}^1$ is determined using a world-sheet description in terms of WZW
models. It is found that the theory only has BPS states with $j^+ = j^-$ where
$j^{\pm}$ refer to the spins of the $\mathfrak{su}(2)$ algebras of the large
${\cal N}=4$ superconformal algebra. We then re-examine the BPS spectrum of the
corresponding supergravity and find that, in contradistinction to previous
claims in the literature, also in supergravity only the states with $j^+=j^-$
are BPS. This resolves a number of long-standing puzzles regarding the BPS
spectrum of string theory and supergravity in this background.
|
[
{
"created": "Fri, 13 Jan 2017 03:15:30 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Jul 2017 12:58:38 GMT",
"version": "v2"
},
{
"created": "Wed, 12 Jul 2017 10:41:17 GMT",
"version": "v3"
}
] |
2017-07-13
|
[
[
"Eberhardt",
"Lorenz",
""
],
[
"Gaberdiel",
"Matthias R.",
""
],
[
"Gopakumar",
"Rajesh",
""
],
[
"Li",
"Wei",
""
]
] |
The BPS spectrum of string theory on AdS$_3\times {\rm S}^3 \times {\rm S}^3 \times {\rm S}^1$ is determined using a world-sheet description in terms of WZW models. It is found that the theory only has BPS states with $j^+ = j^-$ where $j^{\pm}$ refer to the spins of the $\mathfrak{su}(2)$ algebras of the large ${\cal N}=4$ superconformal algebra. We then re-examine the BPS spectrum of the corresponding supergravity and find that, in contradistinction to previous claims in the literature, also in supergravity only the states with $j^+=j^-$ are BPS. This resolves a number of long-standing puzzles regarding the BPS spectrum of string theory and supergravity in this background.
|
1609.02733
|
Max Riegler
|
Max Riegler
|
How General Is Holography?
|
PhD Thesis; Defended on Sept. 7th, 2016; This thesis won the
Victor-Franz Hess Prize awarded by the Austrian Physical Society
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this thesis I explore the generality of the holographic principle in 2+1
(bulk) dimensions by looking at the possibility of having holographic
correspondences for non-AdS (higher-spin) spacetimes. The first part focuses on
Lobachevsky spacetimes with $\mathfrak{sl}(4,\mathbb{R})$ as well as
$\mathcal{W}^{(2)}_N$ symmetries, the asymptotic symmetry algebras and their
unitary representations. This results in a family of unitary
$\mathcal{W}^{(2)}_N$ models that can have both small and large central charge.
The focus of the second part is a possible holographic correspondence in
asymptotically flat spacetimes. This part covers limits from known AdS$_3$
results to flat space as well as a NO-GO result that forbids having flat space,
higher-spins and unitarity at the same time. In addition this part shows how to
consistently add (higher-spin) chemical potentials to flat space. As a
non-trivial check of a holographic correspondence in flat space I provide a way
to determine entanglement entropy (as well as thermal entropy of flat space
cosmologies) holographically in asymptotically flat spacetimes using Wilson
lines.
|
[
{
"created": "Fri, 9 Sep 2016 10:27:00 GMT",
"version": "v1"
}
] |
2016-09-12
|
[
[
"Riegler",
"Max",
""
]
] |
In this thesis I explore the generality of the holographic principle in 2+1 (bulk) dimensions by looking at the possibility of having holographic correspondences for non-AdS (higher-spin) spacetimes. The first part focuses on Lobachevsky spacetimes with $\mathfrak{sl}(4,\mathbb{R})$ as well as $\mathcal{W}^{(2)}_N$ symmetries, the asymptotic symmetry algebras and their unitary representations. This results in a family of unitary $\mathcal{W}^{(2)}_N$ models that can have both small and large central charge. The focus of the second part is a possible holographic correspondence in asymptotically flat spacetimes. This part covers limits from known AdS$_3$ results to flat space as well as a NO-GO result that forbids having flat space, higher-spins and unitarity at the same time. In addition this part shows how to consistently add (higher-spin) chemical potentials to flat space. As a non-trivial check of a holographic correspondence in flat space I provide a way to determine entanglement entropy (as well as thermal entropy of flat space cosmologies) holographically in asymptotically flat spacetimes using Wilson lines.
|
1512.09324
|
Mustafa Amin
|
M. Amin, S. Khalil, and M. Salah
|
A viable logarithmic f(R) model for inflation
|
16 pages, 5 figures
|
JCAP08(2016)043
|
10.1088/1475-7516/2016/08/043
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Inflation in the framework of $f(R)$ modified gravity is revisited. We study
the conditions that $f(R)$ should satisfy in order to lead to a viable
inflationary model in the original form and in the Einstein frame. Based on
these criteria we propose a new logarithmic model as a potential candidate for
$f(R)$ theories aiming to describe inflation consistent with observations from
\textit{Planck} satellite (2015). The model predicts scalar spectral index
$0.9615<n_s<0.9693$ in agreement with observation and tensor-to-scalar ratio
$r$ of order $10^{-3}$. Furthermore, we show that for a class of models, a
natural coupling between inflation and a scalar boson is generated through the
minimal coupling between gravity and matter fields and a reheating temperature
less that $10^9$ GeV is obtained.
|
[
{
"created": "Thu, 31 Dec 2015 16:55:34 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Aug 2016 17:32:58 GMT",
"version": "v2"
}
] |
2018-10-17
|
[
[
"Amin",
"M.",
""
],
[
"Khalil",
"S.",
""
],
[
"Salah",
"M.",
""
]
] |
Inflation in the framework of $f(R)$ modified gravity is revisited. We study the conditions that $f(R)$ should satisfy in order to lead to a viable inflationary model in the original form and in the Einstein frame. Based on these criteria we propose a new logarithmic model as a potential candidate for $f(R)$ theories aiming to describe inflation consistent with observations from \textit{Planck} satellite (2015). The model predicts scalar spectral index $0.9615<n_s<0.9693$ in agreement with observation and tensor-to-scalar ratio $r$ of order $10^{-3}$. Furthermore, we show that for a class of models, a natural coupling between inflation and a scalar boson is generated through the minimal coupling between gravity and matter fields and a reheating temperature less that $10^9$ GeV is obtained.
|
1812.07597
|
Horatiu Stefan Nastase
|
Horatiu Nastase
|
Solution of the cosmological constant problem within holographic
cosmology
|
5 pages, no figures, revtex; clarification about the length of the RG
flow added in section 3; notation clarified
| null |
10.1016/j.physletb.2019.135168
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Within the holographic cosmology paradigm, specifically the model of McFadden
and Skenderis, but more generally than that, the cosmological constant is found
to naturally flow from a large value, to a small value, which can even be as
low as the needed $\sim 10^{-120}$ times the original, along with the dual RG
flow. Within this context then, the cosmological constant problem is mapped to
a simple quantum field theory property, even though the exact mechanism for it
in gravity is still obscure. I consider several examples of gravity duals to
explain the mechanism.
|
[
{
"created": "Tue, 18 Dec 2018 19:05:04 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Sep 2019 18:12:44 GMT",
"version": "v2"
}
] |
2019-12-25
|
[
[
"Nastase",
"Horatiu",
""
]
] |
Within the holographic cosmology paradigm, specifically the model of McFadden and Skenderis, but more generally than that, the cosmological constant is found to naturally flow from a large value, to a small value, which can even be as low as the needed $\sim 10^{-120}$ times the original, along with the dual RG flow. Within this context then, the cosmological constant problem is mapped to a simple quantum field theory property, even though the exact mechanism for it in gravity is still obscure. I consider several examples of gravity duals to explain the mechanism.
|
2009.08462
|
Julian Heeck
|
Julian Heeck, Arvind Rajaraman, Rebecca Riley, Christopher B.
Verhaaren
|
Understanding Q-Balls Beyond the Thin-Wall Limit
|
26 pages, v2: matches published version; v3: fixed typo in Eq.(3)
|
Phys. Rev. D 103, 045008 (2021)
|
10.1103/PhysRevD.103.045008
|
UCI-TR-2020-14
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Complex scalar fields charged under a global U(1) symmetry can admit
non-topological soliton configurations called Q-balls which are stable against
decay into individual particles or smaller Q-balls. These Q-balls are
interesting objects within quantum field theory, but are also of
phenomenological interest in several cosmological and astrophysical contexts.
The Q-ball profiles are determined by a nonlinear differential equation, and so
generally require solution by numerical methods. In this work, we derive
analytical approximations for the Q-ball profile in a polynomial potential and
obtain simple expressions for the important Q-ball properties of charge,
energy, and radius. These results improve significantly on the often-used
thin-wall approximation and make it possible to describe Q-balls to excellent
precision without having to solve the underlying differential equation.
|
[
{
"created": "Thu, 17 Sep 2020 18:00:01 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Feb 2021 19:10:42 GMT",
"version": "v2"
},
{
"created": "Mon, 13 Sep 2021 21:43:41 GMT",
"version": "v3"
}
] |
2021-09-15
|
[
[
"Heeck",
"Julian",
""
],
[
"Rajaraman",
"Arvind",
""
],
[
"Riley",
"Rebecca",
""
],
[
"Verhaaren",
"Christopher B.",
""
]
] |
Complex scalar fields charged under a global U(1) symmetry can admit non-topological soliton configurations called Q-balls which are stable against decay into individual particles or smaller Q-balls. These Q-balls are interesting objects within quantum field theory, but are also of phenomenological interest in several cosmological and astrophysical contexts. The Q-ball profiles are determined by a nonlinear differential equation, and so generally require solution by numerical methods. In this work, we derive analytical approximations for the Q-ball profile in a polynomial potential and obtain simple expressions for the important Q-ball properties of charge, energy, and radius. These results improve significantly on the often-used thin-wall approximation and make it possible to describe Q-balls to excellent precision without having to solve the underlying differential equation.
|
hep-th/0612254
|
Jian-Zu Zhang
|
Jian-Zu Zhang
|
Un-equivalency Theorem between Deformed and undeformed Heisenberg-Weyl's
Algebras
|
12 pages
|
Phys.Lett. B639 (2006) 403-406
|
10.1016/j.physletb.2006.06.040
| null |
hep-th
| null |
Two fundamental issues about the relation between the deformed
Heisenberg-Weyl algebra in noncommutative space and the undeformed one in
commutative space are elucidated. First the un-equivalency theorem between two
algebras is proved: the deformed algebra related to the undeformed one by a
non-orthogonal similarity transformation is explored; furthermore,
non-existence of a unitary similarity transformation which transforms the
deformed algebra to the undeformed one is demonstrated. Secondly the uniqueness
of realizing the deformed phase space variables via the undeformed ones is
elucidated: both the deformed Heisenberg-Weyl algebra and the deformed bosonic
algebra should be maintained under a linear transformation between two sets of
phase space variables which fixes that such a linear transformation is unique.
Elucidation of this un-equivalency theorem has basic meaning both in theory and
experiment.
|
[
{
"created": "Sat, 23 Dec 2006 02:51:43 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Zhang",
"Jian-Zu",
""
]
] |
Two fundamental issues about the relation between the deformed Heisenberg-Weyl algebra in noncommutative space and the undeformed one in commutative space are elucidated. First the un-equivalency theorem between two algebras is proved: the deformed algebra related to the undeformed one by a non-orthogonal similarity transformation is explored; furthermore, non-existence of a unitary similarity transformation which transforms the deformed algebra to the undeformed one is demonstrated. Secondly the uniqueness of realizing the deformed phase space variables via the undeformed ones is elucidated: both the deformed Heisenberg-Weyl algebra and the deformed bosonic algebra should be maintained under a linear transformation between two sets of phase space variables which fixes that such a linear transformation is unique. Elucidation of this un-equivalency theorem has basic meaning both in theory and experiment.
|
2007.12993
|
Cesar Fosco
|
C. D. Fosco and F. A. Schaposnik
|
From D=3 to D=2 dimensions: a note on topological order
|
14 pages, no figures
| null |
10.1142/S0217732321501637
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct, by a procedure involving a dimensional reduction from a
Chern-Simons theory with borders, an effective theory for a 1+1 dimensional
superconductor. 1That system can be either in an ordinary phase or in a
topological one, depending on the value of two phases, corresponding to complex
order parameters. Finally, we argue that the original theory and its
dimensionally reduced one can be related to the effective action for a quantum
Dirac field in a slab geometry, coupled to a gauge field.
|
[
{
"created": "Sat, 25 Jul 2020 18:34:13 GMT",
"version": "v1"
}
] |
2021-08-12
|
[
[
"Fosco",
"C. D.",
""
],
[
"Schaposnik",
"F. A.",
""
]
] |
We construct, by a procedure involving a dimensional reduction from a Chern-Simons theory with borders, an effective theory for a 1+1 dimensional superconductor. 1That system can be either in an ordinary phase or in a topological one, depending on the value of two phases, corresponding to complex order parameters. Finally, we argue that the original theory and its dimensionally reduced one can be related to the effective action for a quantum Dirac field in a slab geometry, coupled to a gauge field.
|
2306.01049
|
Joao M. Baptista
|
Joao Baptista
|
Internal symmetries in Kaluza-Klein models
|
96 pages, 2 figures; comments welcome; v3: small revisions
|
JHEP 05 (2024) 178
|
10.1007/JHEP05(2024)178
| null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The usual approach to Kaluza-Klein considers a spacetime of the form $M_4
\times K$ and identifies the isometry group of the internal vacuum metric,
$g_K^0$, with the gauge group in four dimensions. In these notes we discuss a
variant approach where part of the gauge group does not come from full
isometries of $g_K^0$, but instead comes from weaker internal symmetries that
only preserve the Einstein-Hilbert action on $K$. Then the weaker symmetries
are spontaneously broken by the choice of vacuum metric and generate massive
gauge bosons within the Kaluza-Klein framework, with no need to introduce ad
hoc Higgs fields. Using the language of Riemannian submersions, the classical
mass of a gauge boson is calculated in terms of the Lie derivatives of $g_K^0$.
These massive bosons can be arbitrarily light and seem able to evade the
standard no-go arguments against chiral fermionic interactions in Kaluza-Klein.
As a second main theme, we also question the traditional assumption of a
Kaluza-Klein vacuum represented by a product Einstein metric. This should not
be true when that metric is unstable. In fact, we argue that the unravelling of
the Einstein metric along certain instabilities is a desirable feature of the
model, since it generates inflation and allows some metric components to change
length scale. In the case of the Lie group $K = SU(3)$, the unravelling of the
bi-invariant metric along an unstable perturbation also breaks the isometry
group from $( SU(3) \times SU(3)) / Z_3$ down to $( SU(3) \times SU(2) \times
U(1) )/ Z_6$, the gauge group of the Standard Model. We briefly discuss
possible ways to stabilize the internal metric after that first symmetry
breaking and produce an electroweak symmetry breaking at a different mass
scale.
|
[
{
"created": "Thu, 1 Jun 2023 18:00:05 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Oct 2023 21:15:13 GMT",
"version": "v2"
},
{
"created": "Wed, 27 Mar 2024 17:22:27 GMT",
"version": "v3"
}
] |
2024-05-24
|
[
[
"Baptista",
"Joao",
""
]
] |
The usual approach to Kaluza-Klein considers a spacetime of the form $M_4 \times K$ and identifies the isometry group of the internal vacuum metric, $g_K^0$, with the gauge group in four dimensions. In these notes we discuss a variant approach where part of the gauge group does not come from full isometries of $g_K^0$, but instead comes from weaker internal symmetries that only preserve the Einstein-Hilbert action on $K$. Then the weaker symmetries are spontaneously broken by the choice of vacuum metric and generate massive gauge bosons within the Kaluza-Klein framework, with no need to introduce ad hoc Higgs fields. Using the language of Riemannian submersions, the classical mass of a gauge boson is calculated in terms of the Lie derivatives of $g_K^0$. These massive bosons can be arbitrarily light and seem able to evade the standard no-go arguments against chiral fermionic interactions in Kaluza-Klein. As a second main theme, we also question the traditional assumption of a Kaluza-Klein vacuum represented by a product Einstein metric. This should not be true when that metric is unstable. In fact, we argue that the unravelling of the Einstein metric along certain instabilities is a desirable feature of the model, since it generates inflation and allows some metric components to change length scale. In the case of the Lie group $K = SU(3)$, the unravelling of the bi-invariant metric along an unstable perturbation also breaks the isometry group from $( SU(3) \times SU(3)) / Z_3$ down to $( SU(3) \times SU(2) \times U(1) )/ Z_6$, the gauge group of the Standard Model. We briefly discuss possible ways to stabilize the internal metric after that first symmetry breaking and produce an electroweak symmetry breaking at a different mass scale.
|
hep-th/0003009
|
Shinsuke Mochizuki Nishigaki
|
T. Nagao, S. M. Nishigaki
|
Massive chiral random matrix ensembles at beta = 1 & 4 : QCD Dirac
operator spectra
|
12 pages, REVTeX 3.1, 2 figures; (v2) corrections on signatures in
eqs.(48), (53), (C7), and on referential notes
|
Phys.Rev. D62 (2000) 065007
|
10.1103/PhysRevD.62.065007
|
TIT-HEP-442
|
hep-th hep-lat
| null |
The zero momentum sectors in effective theories of QCD coupled to pseudoreal
(two colors) and real (adjoint) quarks have alternative descriptions in terms
of chiral orthogonal and symplectic ensembles of random matrices. Using this
correspondence, we compute correlation functions of Dirac operator eigenvalues
within a sector with an arbitrary topological charge in a presence of finite
quark masses of the order of the smallest Dirac eigenvalue. These novel
correlation functions, expressed in terms of Pfaffians, interpolate between
known results for the chiral and quenched limits as quark masses vary.
|
[
{
"created": "Wed, 1 Mar 2000 20:20:37 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Mar 2000 09:27:23 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Nagao",
"T.",
""
],
[
"Nishigaki",
"S. M.",
""
]
] |
The zero momentum sectors in effective theories of QCD coupled to pseudoreal (two colors) and real (adjoint) quarks have alternative descriptions in terms of chiral orthogonal and symplectic ensembles of random matrices. Using this correspondence, we compute correlation functions of Dirac operator eigenvalues within a sector with an arbitrary topological charge in a presence of finite quark masses of the order of the smallest Dirac eigenvalue. These novel correlation functions, expressed in terms of Pfaffians, interpolate between known results for the chiral and quenched limits as quark masses vary.
|
hep-th/0003032
|
Jacob Sonnenschein
|
Jacob Sonnenschein (TAU)
|
What does the string/gauge correspondence teach us about Wilson loops?
|
Lectures presented at Santiago de Compostela-99, 47 pages, 13 figs
| null | null | null |
hep-th
| null |
In these lectures we describe the attempt to extract the expectation values
of Wilson loops from the string/gauge correspondence. We start with the
original calculation in $AdS_5$. It is then extended to the non-conformal
background of $D_p$ in the near horizon limit. We discuss the computation at
finite temperature. Supergravity models that admit confinement in 3d and 4d are
described. A theorem that determines the classical values of loops associated
with a generalized background is derived.In particular we determine sufficient
conditions for confining behavior. We then apply the theorem to various string
models including type 0 ones. We describe an attempt to go beyond the classical
string picture by incorporating quadratic quantum fluctuations. In particular
we address the BPS configuration of a single quark, the supersymmetric
determinant of $AdS_5\times S^$ and a setup that corresponds to a confining
gauge theory. We determine the form of the Wilson loop for actions that include
non trivial $B_{\mu\nu}$ field. The issue of an exact determination of the
value of the stringy Wilson loop is discussed. We end with a brief review of
the baryons from the string/gauge correspondence Lectures presented in the
``Advanced School on Supersymmetry in the theories of fields, strings and
branes'' Santiago de Compostela-99.
|
[
{
"created": "Sat, 4 Mar 2000 16:11:15 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Sonnenschein",
"Jacob",
"",
"TAU"
]
] |
In these lectures we describe the attempt to extract the expectation values of Wilson loops from the string/gauge correspondence. We start with the original calculation in $AdS_5$. It is then extended to the non-conformal background of $D_p$ in the near horizon limit. We discuss the computation at finite temperature. Supergravity models that admit confinement in 3d and 4d are described. A theorem that determines the classical values of loops associated with a generalized background is derived.In particular we determine sufficient conditions for confining behavior. We then apply the theorem to various string models including type 0 ones. We describe an attempt to go beyond the classical string picture by incorporating quadratic quantum fluctuations. In particular we address the BPS configuration of a single quark, the supersymmetric determinant of $AdS_5\times S^$ and a setup that corresponds to a confining gauge theory. We determine the form of the Wilson loop for actions that include non trivial $B_{\mu\nu}$ field. The issue of an exact determination of the value of the stringy Wilson loop is discussed. We end with a brief review of the baryons from the string/gauge correspondence Lectures presented in the ``Advanced School on Supersymmetry in the theories of fields, strings and branes'' Santiago de Compostela-99.
|
2408.03022
|
Amit Giveon
|
Amit Giveon and Daniel Vainshtein
|
To $B$ or not to be in single-trace $T\bar T$ holography
|
24 pages
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
Superstring theory on black-strings backgrounds, corresponding to deformed,
rotating BTZ black holes, formed by $p$ fundamental strings or negative
strings, is inspected. For non-rotating black strings, in the positive case, it
was shown in [1] that the excitation energy of a probe long string, plus its
contribution to the black-string background, is in harmony with single-trace
$T\bar T$ holography, if the $B$-field vanishes at the origin. Here, we
investigate the superstring on deformed, rotating BTZ black holes, for both the
positive and negative cases, and find that for a particular value of the
$B$-field, the harmony with single-trace $T\bar T$ holography persists.
|
[
{
"created": "Tue, 6 Aug 2024 08:04:15 GMT",
"version": "v1"
}
] |
2024-08-07
|
[
[
"Giveon",
"Amit",
""
],
[
"Vainshtein",
"Daniel",
""
]
] |
Superstring theory on black-strings backgrounds, corresponding to deformed, rotating BTZ black holes, formed by $p$ fundamental strings or negative strings, is inspected. For non-rotating black strings, in the positive case, it was shown in [1] that the excitation energy of a probe long string, plus its contribution to the black-string background, is in harmony with single-trace $T\bar T$ holography, if the $B$-field vanishes at the origin. Here, we investigate the superstring on deformed, rotating BTZ black holes, for both the positive and negative cases, and find that for a particular value of the $B$-field, the harmony with single-trace $T\bar T$ holography persists.
|
0704.3308
|
Ilarion Melnikov
|
Nick Halmagyi, Ilarion V. Melnikov, and Savdeep Sethi
|
Instantons, Hypermultiplets and the Heterotic String
|
52 pages, LaTeX; references, some corrections and clarifications
added to the published version
|
JHEP0707:086,2007
|
10.1088/1126-6708/2007/07/086
|
EFI-07-11
|
hep-th
| null |
Hypermultiplet couplings in type IIA string theory on a Calabi-Yau space can
be quantum corrected by D2-brane instantons wrapping special Lagrangian cycles.
On the other hand, hypermultiplet couplings in the heterotic string on a K3
surface are corrected by world-sheet instantons wrapping curves. In a class of
examples, we relate these two sets of instanton corrections. We first present
an analogue of the c-map for the heterotic string via a dual flux
compactification of M-theory. Using this duality, we propose two ways of
capturing quantum corrections to hypermultiplets. We then use the orientifold
limit of certain F-theory compactifications to relate curves in K3 to special
Lagrangians in dual type IIA compactifications. We conclude with some results
from perturbative string theory for hypermultiplet F-terms and a conjecture
about the topology of brane instantons.
|
[
{
"created": "Wed, 25 Apr 2007 05:09:34 GMT",
"version": "v1"
},
{
"created": "Tue, 8 May 2007 22:29:08 GMT",
"version": "v2"
},
{
"created": "Wed, 1 Aug 2007 16:28:15 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Halmagyi",
"Nick",
""
],
[
"Melnikov",
"Ilarion V.",
""
],
[
"Sethi",
"Savdeep",
""
]
] |
Hypermultiplet couplings in type IIA string theory on a Calabi-Yau space can be quantum corrected by D2-brane instantons wrapping special Lagrangian cycles. On the other hand, hypermultiplet couplings in the heterotic string on a K3 surface are corrected by world-sheet instantons wrapping curves. In a class of examples, we relate these two sets of instanton corrections. We first present an analogue of the c-map for the heterotic string via a dual flux compactification of M-theory. Using this duality, we propose two ways of capturing quantum corrections to hypermultiplets. We then use the orientifold limit of certain F-theory compactifications to relate curves in K3 to special Lagrangians in dual type IIA compactifications. We conclude with some results from perturbative string theory for hypermultiplet F-terms and a conjecture about the topology of brane instantons.
|
hep-th/9912192
|
Chiang-Mei Chen
|
Chiang-Mei Chen, T. Harko and M. K. Mak
|
Bianchi Type I Cosmology in N=2, D=5 Supergravity
|
revised version to appear in PRD
|
Phys.Rev. D61 (2000) 104017
|
10.1103/PhysRevD.61.104017
| null |
hep-th
| null |
The dynamics and evolution of Bianchi type I space-times is considered in the
framework of the four-dimensional truncation of a reduced theory obtained from
the N=2,D=5 supergravity. The general solution of the gravitational field
equations can be represented in an exact parametric form. All solutions have a
singular behavior at the initial/final moment, except when the space-time
geometry reduces to the isotropic flat case. Generically the obtained
cosmological models describe an anisotropic, expanding or collapsing, singular
Universe with a non-inflationary evolution for all times.
|
[
{
"created": "Tue, 21 Dec 1999 07:08:53 GMT",
"version": "v1"
},
{
"created": "Sun, 27 Feb 2000 05:58:45 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Chen",
"Chiang-Mei",
""
],
[
"Harko",
"T.",
""
],
[
"Mak",
"M. K.",
""
]
] |
The dynamics and evolution of Bianchi type I space-times is considered in the framework of the four-dimensional truncation of a reduced theory obtained from the N=2,D=5 supergravity. The general solution of the gravitational field equations can be represented in an exact parametric form. All solutions have a singular behavior at the initial/final moment, except when the space-time geometry reduces to the isotropic flat case. Generically the obtained cosmological models describe an anisotropic, expanding or collapsing, singular Universe with a non-inflationary evolution for all times.
|
1406.4499
|
Hampus Linander
|
Ulf Gran, Hampus Linander, Bengt E.W. Nilsson
|
Off-shell structure of twisted (2,0) theory
|
15 pages, 2 figures
| null |
10.1007/JHEP11(2014)032
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A $Q$-exact off-shell action is constructed for twisted abelian (2,0) theory
on a Lorentzian six-manifold of the form $M_{1,5} = C\times M_4$, where $C$ is
a flat two-manifold and $M_4$ is a general Euclidean four-manifold. The
properties of this formulation, which is obtained by introducing two auxiliary
fields, can be summarised by a commutative diagram where the Lagrangian and its
stress-tensor arise from the $Q$-variation of two fermionic quantities $V$ and
$\lambda^{\mu\nu}$. This completes and extends the analysis in
[arXiv:1311.3300].
|
[
{
"created": "Tue, 17 Jun 2014 19:50:46 GMT",
"version": "v1"
}
] |
2015-06-22
|
[
[
"Gran",
"Ulf",
""
],
[
"Linander",
"Hampus",
""
],
[
"Nilsson",
"Bengt E. W.",
""
]
] |
A $Q$-exact off-shell action is constructed for twisted abelian (2,0) theory on a Lorentzian six-manifold of the form $M_{1,5} = C\times M_4$, where $C$ is a flat two-manifold and $M_4$ is a general Euclidean four-manifold. The properties of this formulation, which is obtained by introducing two auxiliary fields, can be summarised by a commutative diagram where the Lagrangian and its stress-tensor arise from the $Q$-variation of two fermionic quantities $V$ and $\lambda^{\mu\nu}$. This completes and extends the analysis in [arXiv:1311.3300].
|
hep-th/0507211
|
Annekathrin M\"uller-Lohmann
|
Michael A.I. Flohr, Annekathrin Mueller-Lohmann
|
Proposal for a CFT interpretation of Watts' differential equation for
percolation
|
LaTeX, 20p, added references, corrected typos and additional contents
|
J.Stat.Mech.0512:P12004,2005
|
10.1088/1742-5468/2005/12/P12004
|
BONN-TH-2005-02
|
hep-th cond-mat.stat-mech math-ph math.MP
| null |
G. M. T. Watts derived that in two dimensional critical percolation the
crossing probability Pi_hv satisfies a fifth order differential equation which
includes another one of third order whose independent solutions describe the
physically relevant quantities 1, Pi_h, Pi_hv.
We will show that this differential equation can be derived from a level
three null vector condition of a rational c=-24 CFT and motivate how this
solution may be fitted into known properties of percolation.
|
[
{
"created": "Thu, 21 Jul 2005 12:29:20 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Nov 2005 15:37:14 GMT",
"version": "v2"
}
] |
2011-02-16
|
[
[
"Flohr",
"Michael A. I.",
""
],
[
"Mueller-Lohmann",
"Annekathrin",
""
]
] |
G. M. T. Watts derived that in two dimensional critical percolation the crossing probability Pi_hv satisfies a fifth order differential equation which includes another one of third order whose independent solutions describe the physically relevant quantities 1, Pi_h, Pi_hv. We will show that this differential equation can be derived from a level three null vector condition of a rational c=-24 CFT and motivate how this solution may be fitted into known properties of percolation.
|
hep-th/9801054
|
Sergey Solodukhin
|
Sergey N. Solodukhin
|
Exact solution for a quantum field with $\delta$-like interaction
|
18 pages, latex, no figures, new references added
|
Nucl.Phys. B541 (1999) 461-482
|
10.1016/S0550-3213(98)00789-5
|
Alberta-Thy 24-97
|
hep-th gr-qc nlin.SI solv-int
| null |
A quantum field described by the field operator $\Delta_{a}=\Delta+
a\delta_\Sigma$ involving a $\delta$-like potential is considered.
Mathematically, the treatment of the $\delta$-potential is based on the theory
of self-adjoint extension of the unperturbed operator $\Delta$. We give the
general expressions for the resolvent and the heat kernel of the perturbed
operator $\Delta_{a}$. The main attention is payed to $d=2$ $\delta$-potential
though $d=1$ and $d=3$ cases are considered in some detail. We calculate
exactly the heat kernel, Green's functions and the effective action for the
operator $\Delta_{a}$ in diverse dimensions and for various spaces $\Sigma$.
The renormalization phenomenon for the coupling constant $a$ of $d=2$ and $d=3$
$\delta$-potentials is observed. We find the non-perturbative behavior of the
effective action with respect to the renormalized coupling $a_{ren}$.
|
[
{
"created": "Fri, 9 Jan 1998 21:16:35 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Jan 1998 00:02:07 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Solodukhin",
"Sergey N.",
""
]
] |
A quantum field described by the field operator $\Delta_{a}=\Delta+ a\delta_\Sigma$ involving a $\delta$-like potential is considered. Mathematically, the treatment of the $\delta$-potential is based on the theory of self-adjoint extension of the unperturbed operator $\Delta$. We give the general expressions for the resolvent and the heat kernel of the perturbed operator $\Delta_{a}$. The main attention is payed to $d=2$ $\delta$-potential though $d=1$ and $d=3$ cases are considered in some detail. We calculate exactly the heat kernel, Green's functions and the effective action for the operator $\Delta_{a}$ in diverse dimensions and for various spaces $\Sigma$. The renormalization phenomenon for the coupling constant $a$ of $d=2$ and $d=3$ $\delta$-potentials is observed. We find the non-perturbative behavior of the effective action with respect to the renormalized coupling $a_{ren}$.
|
0707.2762
|
Katerina Pozdeeva
|
Ekaterina Pozdeeva
|
Darboux Transformation of the Green Function for the Dirac Equation with
the Generalized Potential
|
14 pages,zip. file: Latex, 1 figure. Typos corrected, the figure
replaced
|
Int.J.Mod.Phys.A23:247-258,2008
|
10.1142/S0217751X08038500
| null |
hep-th
| null |
We consider the Darboux transformation of the Green functions of the regular
boundary problem of the one-dimensional stationary Dirac equation. We obtained
the Green functions of the transformed Dirac equation with the initial regular
boundary conditions. We also construct the formula for the unabridged trace of
the difference of the transformed and the initial Green functions of the
regular boundary problem of the one-dimensional stationary Dirac equation. We
illustrate our findings by the consideration of the Darboux transformation for
the Green function of the free particle Dirac equation on an interval.
|
[
{
"created": "Wed, 18 Jul 2007 16:42:29 GMT",
"version": "v1"
},
{
"created": "Sat, 21 Jul 2007 13:04:28 GMT",
"version": "v2"
},
{
"created": "Wed, 29 Aug 2007 16:32:22 GMT",
"version": "v3"
},
{
"created": "Mon, 10 Sep 2007 07:27:03 GMT",
"version": "v4"
},
{
"created": "Mon, 10 Sep 2007 21:38:45 GMT",
"version": "v5"
},
{
"created": "Wed, 19 Sep 2007 08:49:52 GMT",
"version": "v6"
}
] |
2008-11-26
|
[
[
"Pozdeeva",
"Ekaterina",
""
]
] |
We consider the Darboux transformation of the Green functions of the regular boundary problem of the one-dimensional stationary Dirac equation. We obtained the Green functions of the transformed Dirac equation with the initial regular boundary conditions. We also construct the formula for the unabridged trace of the difference of the transformed and the initial Green functions of the regular boundary problem of the one-dimensional stationary Dirac equation. We illustrate our findings by the consideration of the Darboux transformation for the Green function of the free particle Dirac equation on an interval.
|
hep-th/9908001
|
Bo Sundborg
|
Bo Sundborg
|
The Hagedorn Transition, Deconfinement and N=4 SYM Theory
|
15 pages, LaTeX; References and typos in equations corrected, e.g. z
-> zeta in some intermediate expressions. Discussion of some points slightly
expanded for clarity
|
Nucl.Phys.B573:349-363,2000
|
10.1016/S0550-3213(00)00044-4
|
USITP-99-06
|
hep-th
| null |
N=4 Super Yang-Mills theory supplies us with a non-Abelian 4D gauge theory
with a meaningful perturbation expansion, both in the UV and in the IR. We
calculate the free energy on a 3-sphere and observe a deconfinement transition
for large N at zero coupling. The same thermodynamic behaviour is found for a
wide class of toy models, possibly also including the case of non-zero
coupling. Below the transition we also find Hagedorn behaviour, which is
identified with fluctuations signalling the approach to the deconfined phase.
The Hagedorn and the deconfinement temperatures are identical. Application of
the AdS/CFT correspondence gives a connection between string Hagedorn behaviour
and black holes.
|
[
{
"created": "Sat, 31 Jul 1999 01:36:56 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Sep 1999 15:00:55 GMT",
"version": "v2"
},
{
"created": "Mon, 28 Feb 2000 14:29:46 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Sundborg",
"Bo",
""
]
] |
N=4 Super Yang-Mills theory supplies us with a non-Abelian 4D gauge theory with a meaningful perturbation expansion, both in the UV and in the IR. We calculate the free energy on a 3-sphere and observe a deconfinement transition for large N at zero coupling. The same thermodynamic behaviour is found for a wide class of toy models, possibly also including the case of non-zero coupling. Below the transition we also find Hagedorn behaviour, which is identified with fluctuations signalling the approach to the deconfined phase. The Hagedorn and the deconfinement temperatures are identical. Application of the AdS/CFT correspondence gives a connection between string Hagedorn behaviour and black holes.
|
1410.5436
|
Michael Cooke
|
Michael Cooke and Nadav Drukker
|
From algebraic curve to minimal surface and back
|
21 pages
| null |
10.1007/JHEP02(2015)090
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive the Lax operator for a very large family of classical minimal
surface solutions in $AdS_3$ describing Wilson loops in $\mathcal{N}=4$ SYM
theory. These solutions, constructed by Ishizeki, Kruczenski and Ziama, are
associated with a hyperellictic surface of odd genus. We verify that the
algebraic curve derived from the Lax operator is indeed none-other than this
hyperelliptic surface.
|
[
{
"created": "Mon, 20 Oct 2014 20:00:17 GMT",
"version": "v1"
}
] |
2015-06-23
|
[
[
"Cooke",
"Michael",
""
],
[
"Drukker",
"Nadav",
""
]
] |
We derive the Lax operator for a very large family of classical minimal surface solutions in $AdS_3$ describing Wilson loops in $\mathcal{N}=4$ SYM theory. These solutions, constructed by Ishizeki, Kruczenski and Ziama, are associated with a hyperellictic surface of odd genus. We verify that the algebraic curve derived from the Lax operator is indeed none-other than this hyperelliptic surface.
|
hep-th/9610057
|
Giovanni Amelino-Camelia
|
G. Amelino-Camelia, I. I. Kogan, and R. J. Szabo
|
Gravitational Dressing of Aharonov-Bohm Amplitudes
|
10 pages, LaTex, uses macro package FEYNMAN.tex Presented by G.
Amelino-Camelia at the Workshop on Low Dimensional Field Theory, Telluride,
CO, 5-17 Aug 1996. To be published in the proceedings
|
Int.J.Mod.Phys. A12 (1997) 1043-1052
|
10.1142/S0217751X97000773
|
OUTP-96-60P
|
hep-th
| null |
We investigate Aharonov-Bohm scattering in a theory in which charged bosonic
matter fields are coupled to topologically massive electrodynamics and
topologically massive gravity. We demonstrate that, at one-loop order, the
transmuted spins in this theory are related to the ones of ordinary
Chern-Simons gauge theory in the same way that the
Knizhnik-Polyakov-Zamolodchikov formula relates the Liouville-dressed conformal
weights of primary operators to the bare weights in two-dimensional conformal
field theories. We remark on the implications of this connection between
two-dimensional conformal field theories and three-dimensional gauge and
gravity theories for a topological membrane reformulation of strings. We also
discuss some features of the gravitational analog of the Aharonov-Bohm effect.
|
[
{
"created": "Wed, 9 Oct 1996 13:27:37 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Amelino-Camelia",
"G.",
""
],
[
"Kogan",
"I. I.",
""
],
[
"Szabo",
"R. J.",
""
]
] |
We investigate Aharonov-Bohm scattering in a theory in which charged bosonic matter fields are coupled to topologically massive electrodynamics and topologically massive gravity. We demonstrate that, at one-loop order, the transmuted spins in this theory are related to the ones of ordinary Chern-Simons gauge theory in the same way that the Knizhnik-Polyakov-Zamolodchikov formula relates the Liouville-dressed conformal weights of primary operators to the bare weights in two-dimensional conformal field theories. We remark on the implications of this connection between two-dimensional conformal field theories and three-dimensional gauge and gravity theories for a topological membrane reformulation of strings. We also discuss some features of the gravitational analog of the Aharonov-Bohm effect.
|
1907.04873
|
Jorrit Kruthoff
|
David J. Gross, Jorrit Kruthoff, Andrew Rolph, Edgar Shaghoulian
|
$T\overline{T}$ in AdS$_2$ and Quantum Mechanics
|
35 pages plus appendices
|
Phys. Rev. D 101, 026011 (2020)
|
10.1103/PhysRevD.101.026011
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Quantum field theory in zero spatial dimensions has a rich infrared landscape
and a universal ultraviolet, inverting the usual Wilsonian paradigm. For
holographic theories this implies a rich landscape of asymptotically AdS$_2$
geometries. Isolating the interiors of these spacetimes suggests a study of the
analog of the $T\overline{T}$ deformation in quantum mechanics, which we pursue
here. An equivalent description of this deformation in terms of coupling to
worldline gravity is proposed, and applications to quantum mechanical systems -
including the Schwarzian theory - are studied.
|
[
{
"created": "Wed, 10 Jul 2019 18:03:21 GMT",
"version": "v1"
}
] |
2020-01-22
|
[
[
"Gross",
"David J.",
""
],
[
"Kruthoff",
"Jorrit",
""
],
[
"Rolph",
"Andrew",
""
],
[
"Shaghoulian",
"Edgar",
""
]
] |
Quantum field theory in zero spatial dimensions has a rich infrared landscape and a universal ultraviolet, inverting the usual Wilsonian paradigm. For holographic theories this implies a rich landscape of asymptotically AdS$_2$ geometries. Isolating the interiors of these spacetimes suggests a study of the analog of the $T\overline{T}$ deformation in quantum mechanics, which we pursue here. An equivalent description of this deformation in terms of coupling to worldline gravity is proposed, and applications to quantum mechanical systems - including the Schwarzian theory - are studied.
|
1308.1205
|
Kiyoshi Shiraishi
|
Kiyoshi Shiraishi
|
Thermodynamic potential for compactified bosonic strings
|
8 pages, no figure
|
il Nuovo Cimento 100A, Number 5, pp. 683-692, 1988
|
10.1007/BF02813316
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss the inclusion of chemical potentials of the Kaluza-Klein charges
in the partition function of the bosonic string with a compactified dimension
on a circle. The construction of the thermodynamic potential is achieved by the
path integral method at one-loop level. Duality symmetry in the dependence on
compactification scale is examined. A modular-invariant expression for the
thermodynamic potential is also presented.
|
[
{
"created": "Tue, 6 Aug 2013 08:38:33 GMT",
"version": "v1"
}
] |
2013-08-07
|
[
[
"Shiraishi",
"Kiyoshi",
""
]
] |
We discuss the inclusion of chemical potentials of the Kaluza-Klein charges in the partition function of the bosonic string with a compactified dimension on a circle. The construction of the thermodynamic potential is achieved by the path integral method at one-loop level. Duality symmetry in the dependence on compactification scale is examined. A modular-invariant expression for the thermodynamic potential is also presented.
|
1101.2760
|
Euro Spallucci
|
Euro Spallucci, Stefano Ansoldi
|
Regular black holes in UV self-complete quantum gravity
|
11 pages, 3 figures, new comments and references, final version
accepted for publication in PLB
|
Phys.Lett.B701:471-474,2011
|
10.1016/j.physletb.2011.06.005
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this letter we investigate the role of regular (curvature
singularity-free) black holes in the framework of UV self-complete quantum
gravity. The existence of a minimal length, shielding the trans-Planckian
regime to any physical probe, is self-consistently included into the black hole
probe itself. In this way we obtain to slightly shift the barrier below the
Planck Length, with the UV self-complete scenario self-consistently confirmed.
|
[
{
"created": "Fri, 14 Jan 2011 10:27:48 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Jun 2011 08:28:48 GMT",
"version": "v2"
}
] |
2011-07-06
|
[
[
"Spallucci",
"Euro",
""
],
[
"Ansoldi",
"Stefano",
""
]
] |
In this letter we investigate the role of regular (curvature singularity-free) black holes in the framework of UV self-complete quantum gravity. The existence of a minimal length, shielding the trans-Planckian regime to any physical probe, is self-consistently included into the black hole probe itself. In this way we obtain to slightly shift the barrier below the Planck Length, with the UV self-complete scenario self-consistently confirmed.
|
1610.06051
|
Carlos M. Reyes
|
Carlos M. Reyes, L. F. Urrutia
|
Unitarity and Lee-Wick prescription at one loop level in the effective
Myers-Pospelov electrodynamics: the $e^++e^-$ annihilation
|
16 pages, 3 figures. New version with modifications in the canonical
quantization and accepted in PRD
|
Phys. Rev. D 95, 015024 (2017)
|
10.1103/PhysRevD.95.015024
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study perturbative unitarity in a Lorentz-symmetry-violating QED model
with higher-order derivative operators in the light of the results of Lee and
Wick to preserve unitarity in indefinite metric theories. Specifically, we
consider the fermionic sector of the Myers-Pospelov model, which includes
dimension-five operators, coupled to standard photons. We canonically quantize
the model, paying attention to its effective character, and show that its
Hamiltonian is stable, emphasizing the exact stage at which the indefinite
metric appears and decomposes into a positive-metric sector and a
negative-metric sector. Finally, we verify the optical theorem at the one-loop
level in the annihilation channel of the forward-scattering process $e^+(p_2,
r) + e^-(p_1,s)$ by applying the Lee-Wick prescription in which the states
associated with the negative metric are left out from the asymptotic Hilbert
space, but nevertheless are considered in the loop integration via the
propagator.
|
[
{
"created": "Wed, 19 Oct 2016 15:06:28 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Feb 2017 20:20:20 GMT",
"version": "v2"
}
] |
2017-02-03
|
[
[
"Reyes",
"Carlos M.",
""
],
[
"Urrutia",
"L. F.",
""
]
] |
We study perturbative unitarity in a Lorentz-symmetry-violating QED model with higher-order derivative operators in the light of the results of Lee and Wick to preserve unitarity in indefinite metric theories. Specifically, we consider the fermionic sector of the Myers-Pospelov model, which includes dimension-five operators, coupled to standard photons. We canonically quantize the model, paying attention to its effective character, and show that its Hamiltonian is stable, emphasizing the exact stage at which the indefinite metric appears and decomposes into a positive-metric sector and a negative-metric sector. Finally, we verify the optical theorem at the one-loop level in the annihilation channel of the forward-scattering process $e^+(p_2, r) + e^-(p_1,s)$ by applying the Lee-Wick prescription in which the states associated with the negative metric are left out from the asymptotic Hilbert space, but nevertheless are considered in the loop integration via the propagator.
|
hep-th/0203117
|
F. Loran
|
F. Loran
|
On The Quantization Of Constraint Systems: A Lagrangian Approach
|
9 pages, no figures
| null | null | null |
hep-th
| null |
It is possible to introduce external time dependent back ground fields in the
formulation of a system as fields whose dynamics can not be deduced from Euler
Lagrange equations of motion. This method leads to singular Lagrangians for
real systems. We discuss quantization of constraint systems in these cases and
introduce generalized Gupta-Bleuler quantization. In two examples we show
explicitly that this method of quantization leads to true Schr\"{o}dinger
equations.
|
[
{
"created": "Wed, 13 Mar 2002 11:15:22 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Loran",
"F.",
""
]
] |
It is possible to introduce external time dependent back ground fields in the formulation of a system as fields whose dynamics can not be deduced from Euler Lagrange equations of motion. This method leads to singular Lagrangians for real systems. We discuss quantization of constraint systems in these cases and introduce generalized Gupta-Bleuler quantization. In two examples we show explicitly that this method of quantization leads to true Schr\"{o}dinger equations.
|
2111.02453
|
Craig Lawrie
|
Florent Baume and Craig Lawrie
|
Bootstrapping (D, D) Conformal Matter
|
14 pages, 8 figures
| null |
10.1103/PhysRevD.105.046006
|
DESY 21-165
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use the numerical conformal bootstrap to study six-dimensional
$\mathcal{N}=(1,0)$ superconformal field theories with flavor symmetry
$\mathfrak{so}_{4k}$. We present evidence that minimal $(D_k, D_k)$ conformal
matter saturates the unitarity bounds for arbitrary $k$. Furthermore, using the
extremal-functional method, we check that the chiral-ring relations are
correctly reproduced, extract the anomalous dimensions of low-lying long
superconformal multiplets, and find hints for novel OPE selection rules
involving type-$\mathcal{B}$ multiplets.
|
[
{
"created": "Wed, 3 Nov 2021 18:19:46 GMT",
"version": "v1"
}
] |
2022-02-23
|
[
[
"Baume",
"Florent",
""
],
[
"Lawrie",
"Craig",
""
]
] |
We use the numerical conformal bootstrap to study six-dimensional $\mathcal{N}=(1,0)$ superconformal field theories with flavor symmetry $\mathfrak{so}_{4k}$. We present evidence that minimal $(D_k, D_k)$ conformal matter saturates the unitarity bounds for arbitrary $k$. Furthermore, using the extremal-functional method, we check that the chiral-ring relations are correctly reproduced, extract the anomalous dimensions of low-lying long superconformal multiplets, and find hints for novel OPE selection rules involving type-$\mathcal{B}$ multiplets.
|
1211.2199
|
Diego Trancanelli
|
Leonardo Patino, Diego Trancanelli
|
Thermal photon production in a strongly coupled anisotropic plasma
|
27 pages, 13 figures; v2: minor changes, added references
|
JHEP 1302:154,2013
|
10.1007/JHEP02(2013)154
|
MAD-TH-12-07
|
hep-th hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Photons produced in heavy ion collisions escape virtually unperturbed from
the surrounding medium, thus representing an excellent probe of the conditions
at the emission point. Using the gauge/gravity duality, we calculate the rate
of photon production in an anisotropic, strongly coupled N=4 plasma with Nf<<Nc
quark flavors. We consider arbitrary orientations of the photon momentum with
respect to the anisotropic direction, as well as arbitrary values of the
anisotropy. We present results for the correlation functions of two
electromagnetic currents and for the electric conductivity. These quantities
can be larger or smaller than the isotropic ones, depending on the direction of
propagation and polarization of the photons. The total production rate is
however always larger than the isotropic one, independently of the frequency,
direction of propagation, and value of the anisotropy.
|
[
{
"created": "Fri, 9 Nov 2012 17:56:35 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Mar 2013 01:29:37 GMT",
"version": "v2"
}
] |
2013-03-04
|
[
[
"Patino",
"Leonardo",
""
],
[
"Trancanelli",
"Diego",
""
]
] |
Photons produced in heavy ion collisions escape virtually unperturbed from the surrounding medium, thus representing an excellent probe of the conditions at the emission point. Using the gauge/gravity duality, we calculate the rate of photon production in an anisotropic, strongly coupled N=4 plasma with Nf<<Nc quark flavors. We consider arbitrary orientations of the photon momentum with respect to the anisotropic direction, as well as arbitrary values of the anisotropy. We present results for the correlation functions of two electromagnetic currents and for the electric conductivity. These quantities can be larger or smaller than the isotropic ones, depending on the direction of propagation and polarization of the photons. The total production rate is however always larger than the isotropic one, independently of the frequency, direction of propagation, and value of the anisotropy.
|
1608.07554
|
Seung-Joo Lee
|
Lara B. Anderson, Xin Gao, James Gray and Seung-Joo Lee
|
Tools for CICYs in F-theory
|
49 pages, 3 figures
| null |
10.1007/JHEP11(2016)004
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We provide a set of tools for analyzing the geometry of elliptically fibered
Calabi-Yau manifolds, starting with a description of the total space rather
than with a Weierstrass model or a specified type of fiber/base. Such an
approach to the subject of F-theory compactification makes certain geometric
properties, which are usually hidden, manifest. Specifically, we review how to
isolate genus-one fibrations in such geometries and then describe how to find
their sections explicitly. This includes a full parameterization of the
Mordell-Weil group where non-trivial. We then describe how to analyze the
associated Weierstrass models, Jacobians and resolved geometries. We illustrate
our discussion with concrete examples which are complete intersections in
products of projective spaces (CICYs). The examples presented include cases
exhibiting non-abelian symmetries and higher rank Mordell-Weil group. We also
make some comments on non-flat fibrations in this context. In a companion paper
[1] to this one, these results will be used to analyze the consequences for
string dualities of the ubiquity of multiple fibrations in known constructions
of Calabi-Yau manifolds.
|
[
{
"created": "Fri, 26 Aug 2016 18:29:31 GMT",
"version": "v1"
}
] |
2016-11-23
|
[
[
"Anderson",
"Lara B.",
""
],
[
"Gao",
"Xin",
""
],
[
"Gray",
"James",
""
],
[
"Lee",
"Seung-Joo",
""
]
] |
We provide a set of tools for analyzing the geometry of elliptically fibered Calabi-Yau manifolds, starting with a description of the total space rather than with a Weierstrass model or a specified type of fiber/base. Such an approach to the subject of F-theory compactification makes certain geometric properties, which are usually hidden, manifest. Specifically, we review how to isolate genus-one fibrations in such geometries and then describe how to find their sections explicitly. This includes a full parameterization of the Mordell-Weil group where non-trivial. We then describe how to analyze the associated Weierstrass models, Jacobians and resolved geometries. We illustrate our discussion with concrete examples which are complete intersections in products of projective spaces (CICYs). The examples presented include cases exhibiting non-abelian symmetries and higher rank Mordell-Weil group. We also make some comments on non-flat fibrations in this context. In a companion paper [1] to this one, these results will be used to analyze the consequences for string dualities of the ubiquity of multiple fibrations in known constructions of Calabi-Yau manifolds.
|
2106.10793
|
Abhishek Agarwal
|
Abhishek Agarwal
|
Holomorphicity, Vortex Attachment, Gauge Invariance and the Fractional
Quantum Hall Effect
|
33 pages, no figures. Several Typos corrected in latest version
| null |
10.1088/1751-8121/ac3d67
| null |
hep-th cond-mat.str-el math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A gauge invariant reformulation of nonrelativistic fermions in background
magnetic fields is used to obtain the Laughlin and Jain wave functions as exact
results in Mean Field Theory (MFT). The gauge invariant framework trades the
U(1) gauge symmetry for an emergent holomorphic symmetry and fluxes for
vortices. The novel holomorphic invariance is used to develop an analytical
method for attaching vortices to particles. Vortex attachment methods
introduced in this paper are subsequently employed to construct the Read
operator within a second quantized framework and obtain the Laughlin and Jain
wave functions as exact results entirely within a mean-field approximation. The
gauge invariant framework and vortex attachment techniques are generalized to
the case of spherical geometry and spherical counterparts of Laughlin and Jain
wave functions are also obtained exactly within MFT.
|
[
{
"created": "Mon, 21 Jun 2021 01:10:12 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Jul 2021 06:42:11 GMT",
"version": "v2"
}
] |
2021-12-17
|
[
[
"Agarwal",
"Abhishek",
""
]
] |
A gauge invariant reformulation of nonrelativistic fermions in background magnetic fields is used to obtain the Laughlin and Jain wave functions as exact results in Mean Field Theory (MFT). The gauge invariant framework trades the U(1) gauge symmetry for an emergent holomorphic symmetry and fluxes for vortices. The novel holomorphic invariance is used to develop an analytical method for attaching vortices to particles. Vortex attachment methods introduced in this paper are subsequently employed to construct the Read operator within a second quantized framework and obtain the Laughlin and Jain wave functions as exact results entirely within a mean-field approximation. The gauge invariant framework and vortex attachment techniques are generalized to the case of spherical geometry and spherical counterparts of Laughlin and Jain wave functions are also obtained exactly within MFT.
|
hep-th/9712067
| null |
S. Deser and O. Sarioglu
|
Hamiltonian Electric/Magnetic Duality and Lorentz Invariance
|
7 pages, LaTeX, no figures
|
Phys.Lett.B423:369-372,1998
|
10.1016/S0370-2693(98)00163-4
|
BRX-TH-427
|
hep-th gr-qc
| null |
In (3+1) Hamiltonian form, the conditions for the electric/magnetic
invariance of generic self-interacting gauge vector actions and the definition
of the duality generator are obvious. Instead, (3+1) actions are not
intrinsically Lorentz invariant. Imposing the Dirac-Schwinger stress tensor
commutator requirement to enforce the latter yields a differential constraint
on the Hamiltonian which translates into the usual Lagrangian form of the
duality invariance condition obeyed by Maxwell and Born-Infeld theories. We
also discuss covariance properties of some analogous scalar models.
|
[
{
"created": "Fri, 5 Dec 1997 21:45:57 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Deser",
"S.",
""
],
[
"Sarioglu",
"O.",
""
]
] |
In (3+1) Hamiltonian form, the conditions for the electric/magnetic invariance of generic self-interacting gauge vector actions and the definition of the duality generator are obvious. Instead, (3+1) actions are not intrinsically Lorentz invariant. Imposing the Dirac-Schwinger stress tensor commutator requirement to enforce the latter yields a differential constraint on the Hamiltonian which translates into the usual Lagrangian form of the duality invariance condition obeyed by Maxwell and Born-Infeld theories. We also discuss covariance properties of some analogous scalar models.
|
hep-th/0104221
|
Daniel Litim
|
Daniel F. Litim
|
Mind The Gap
|
6 pages, Talk presented at 2nd Conference on Exact Renormalization
Group (ERG2000), Rome, Italy, 18-22 Sep 2000
|
Int.J.Mod.Phys. A16 (2001) 2081-2088
|
10.1142/S0217751X01004748
|
CERN-TH 2001-013
|
hep-th
| null |
We discuss an optimisation criterion for the exact renormalisation group
based on the inverse effective propagator, which displays a gap. We show that a
simple extremisation of the gap stabilises the flow, leading to better
convergence of approximate solutions towards the physical theory. This improves
the reliability of truncations, most relevant for any high precision
computation. These ideas are closely linked to the removal of a spurious scheme
dependence and a minimum sensitivity condition. The issue of predictive power
and a link to the Polchinski RG are discussed as well. We illustrate our
findings by computing critical exponents for the Ising universality class.
|
[
{
"created": "Wed, 25 Apr 2001 15:42:46 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Litim",
"Daniel F.",
""
]
] |
We discuss an optimisation criterion for the exact renormalisation group based on the inverse effective propagator, which displays a gap. We show that a simple extremisation of the gap stabilises the flow, leading to better convergence of approximate solutions towards the physical theory. This improves the reliability of truncations, most relevant for any high precision computation. These ideas are closely linked to the removal of a spurious scheme dependence and a minimum sensitivity condition. The issue of predictive power and a link to the Polchinski RG are discussed as well. We illustrate our findings by computing critical exponents for the Ising universality class.
|
1406.2638
|
Kenneth Intriligator
|
Kenneth Intriligator
|
Matching 3d N=2 Vortices and Monopole Operators
|
22 pages. v2: fixed minor typos, JHEP version
| null |
10.1007/JHEP10(2014)052
|
UCSD-PTH-14-02
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In earlier work with N. Seiberg, we explored connections between monopole
operators, the Coulomb branch modulus, and vortices for 3d, N=2 supersymmetric,
$U(1)_k$ Chern-Simons matter theories. We here extend the monopole / vortex
matching analysis, to theories with general matter electric charges. We verify,
for general matter content, that the spin and other quantum numbers of the
chiral monopole operators match those of corresponding BPS vortex states, at
the top and bottom of the tower associated with quantizing the vortices'
Fermion zero modes. There are associated subtleties from non-normalizable Fermi
zero modes, which contribute non-trivially to the BPS vortex spectrum and
monopole operator matching; a proposed interpretation is further discussed
here.
|
[
{
"created": "Tue, 10 Jun 2014 17:26:04 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Sep 2014 18:32:42 GMT",
"version": "v2"
}
] |
2015-06-19
|
[
[
"Intriligator",
"Kenneth",
""
]
] |
In earlier work with N. Seiberg, we explored connections between monopole operators, the Coulomb branch modulus, and vortices for 3d, N=2 supersymmetric, $U(1)_k$ Chern-Simons matter theories. We here extend the monopole / vortex matching analysis, to theories with general matter electric charges. We verify, for general matter content, that the spin and other quantum numbers of the chiral monopole operators match those of corresponding BPS vortex states, at the top and bottom of the tower associated with quantizing the vortices' Fermion zero modes. There are associated subtleties from non-normalizable Fermi zero modes, which contribute non-trivially to the BPS vortex spectrum and monopole operator matching; a proposed interpretation is further discussed here.
|
0910.4951
|
Roberto Percacci
|
R. Percacci
|
Asymptotic safety in gravity and sigma models
|
Talk given at International Workshop on Continuum and Lattice
Approaches to Quantum Gravity, Brighton, United Kingdom, 17-19 Sep 08. To
appear in PoS
|
PoS CLAQG08:002,2011
| null |
pi-qg-155
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
There are deep analogies between Einstein's theory of gravity and the
nonlinear sigma models. It is suggested that these similarities may extend also
to the ultraviolet behaviour, in the sense that both theories could turn out to
be asymptotically safe.
|
[
{
"created": "Mon, 26 Oct 2009 18:25:41 GMT",
"version": "v1"
}
] |
2011-08-17
|
[
[
"Percacci",
"R.",
""
]
] |
There are deep analogies between Einstein's theory of gravity and the nonlinear sigma models. It is suggested that these similarities may extend also to the ultraviolet behaviour, in the sense that both theories could turn out to be asymptotically safe.
|
hep-th/0509230
|
Yutaka Ookouchi
|
Teruhiko Kawano, Yutaka Ookouchi, Yuji Tachikawa, Futoshi Yagi
|
Pouliot Type Duality via a-Maximization
|
20 pages, 6 figures, harvmac, v2: minor corrections, v3: a note added
|
Nucl.Phys.B735:1-16,2006
|
10.1016/j.nuclphysb.2005.11.024
|
UT-05-12, NSF-KITP-05-75
|
hep-th hep-ph
| null |
We study four-dimensional N=1 Spin(10) gauge theory with a single spinor and
vectors at the superconformal fixed point via the electric-magnetic duality and
a-maximization. When gauge invariant chiral primary operators hit the unitarity
bounds, we find that the theory with no superpotential is identical to the one
with some superpotential at the infrared fixed point. The auxiliary field
method in the electric theory offers a satisfying description of the infrared
fixed point, which is consistent with the better picture in the magnetic
theory. In particular, it gives a clear description of the emergence of new
massless degrees of freedom in the electric theory.
|
[
{
"created": "Fri, 30 Sep 2005 08:59:44 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Oct 2005 08:05:34 GMT",
"version": "v2"
},
{
"created": "Mon, 24 Oct 2005 08:29:26 GMT",
"version": "v3"
}
] |
2010-12-03
|
[
[
"Kawano",
"Teruhiko",
""
],
[
"Ookouchi",
"Yutaka",
""
],
[
"Tachikawa",
"Yuji",
""
],
[
"Yagi",
"Futoshi",
""
]
] |
We study four-dimensional N=1 Spin(10) gauge theory with a single spinor and vectors at the superconformal fixed point via the electric-magnetic duality and a-maximization. When gauge invariant chiral primary operators hit the unitarity bounds, we find that the theory with no superpotential is identical to the one with some superpotential at the infrared fixed point. The auxiliary field method in the electric theory offers a satisfying description of the infrared fixed point, which is consistent with the better picture in the magnetic theory. In particular, it gives a clear description of the emergence of new massless degrees of freedom in the electric theory.
|
hep-th/9703017
|
Tobias Hurth
|
Norbert Dragon (Hannover U.), Tobias Hurth and Peter van Nieuwenhuizen
(SUNY at Stony Brook)
|
Polynomial Form of the Stueckelberg Model
|
8 pages, latex, to appear in the Proceedings of the 30th
International Symposium Ahrenshoop on the Theory of Elementary Particles,
Nuclear Physics B, Proceedings Supplement
|
Nucl.Phys.Proc.Suppl. 56B (1997) 318-321
|
10.1016/S0920-5632(97)00341-1
|
ITP-UH-4/97, ITP-SB-97-13
|
hep-th hep-ph
| null |
The Stueckelberg model for massive vector fields is cast into a BRS
invariant, polynomial form. Its symmetry algebra simplifies to an abelian gauge
symmetry which is sufficient to decouple the negative norm states. The
propagators fall off like $1/k^2$ and the Lagrangean is polynomial but it is
not powercounting renormalizable due to derivative couplings.
|
[
{
"created": "Mon, 3 Mar 1997 09:53:09 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Dragon",
"Norbert",
"",
"Hannover U."
],
[
"Hurth",
"Tobias",
"",
"SUNY at Stony Brook"
],
[
"van Nieuwenhuizen",
"Peter",
"",
"SUNY at Stony Brook"
]
] |
The Stueckelberg model for massive vector fields is cast into a BRS invariant, polynomial form. Its symmetry algebra simplifies to an abelian gauge symmetry which is sufficient to decouple the negative norm states. The propagators fall off like $1/k^2$ and the Lagrangean is polynomial but it is not powercounting renormalizable due to derivative couplings.
|
hep-th/0607127
|
Robert Bluhm
|
R. Bluhm
|
Nambu-Goldstone Modes in Gravitational Theories with Spontaneous Lorentz
Breaking
|
6 pages. Presented at the meeting "From Quantum to Cosmos,"
Washington, D.C., May 2006; published in Int. J. Mod. Phys. D16:2357-2363,
2008
|
Int.J.Mod.Phys.D16:2357-2363,2008
|
10.1142/S021827180701122X
| null |
hep-th gr-qc
| null |
Spontaneous breaking of Lorentz symmetry has been suggested as a possible
mechanism that might occur in the context of a fundamental Planck-scale theory,
such as string theory or a quantum theory of gravity. However, if Lorentz
symmetry is spontaneously broken, two sets of questions immediately arise: what
is the fate of the Nambu-Goldstone modes, and can a Higgs mechanism occur? A
brief summary of some recent work looking at these questions is presented here.
|
[
{
"created": "Wed, 19 Jul 2006 14:09:00 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Apr 2008 17:36:28 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Bluhm",
"R.",
""
]
] |
Spontaneous breaking of Lorentz symmetry has been suggested as a possible mechanism that might occur in the context of a fundamental Planck-scale theory, such as string theory or a quantum theory of gravity. However, if Lorentz symmetry is spontaneously broken, two sets of questions immediately arise: what is the fate of the Nambu-Goldstone modes, and can a Higgs mechanism occur? A brief summary of some recent work looking at these questions is presented here.
|
hep-th/9906037
|
Jerzy Przeszowski
|
Jerzy A.Przeszowski (Warsaw)
|
The Light-Front SU(N) Yang-Mills Theory for the Weyl Gauge
|
REVTEX, 9 pages, no figures. PACS. 11.15.-q Gauge field theories
PACS. 11.15.Bt General properties of perturbation theory
| null | null | null |
hep-th
| null |
The canonical quantization is performed at a light-front surface for the
SU(N) Yang-Mills theory. The Weyl gauge is imposed as a gauge condition. The
suitable parameterization is chosen for the transverse gauge field components
in order to have Dirac brackets independent of interactions. The generating
functional is defined for the perturbation theory and it is shown to coincide
with its equal-time counterpart.
|
[
{
"created": "Fri, 4 Jun 1999 14:19:09 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Przeszowski",
"Jerzy A.",
"",
"Warsaw"
]
] |
The canonical quantization is performed at a light-front surface for the SU(N) Yang-Mills theory. The Weyl gauge is imposed as a gauge condition. The suitable parameterization is chosen for the transverse gauge field components in order to have Dirac brackets independent of interactions. The generating functional is defined for the perturbation theory and it is shown to coincide with its equal-time counterpart.
|
1912.13220
|
Jeong-Hyuck Park
|
Kyoungho Cho, Kevin Morand, and Jeong-Hyuck Park
|
Stringy Newton Gravity with $H$-flux
|
6 pages, No figure, v2) Refs added
|
Phys. Rev. D 101, 064020 (2020)
|
10.1103/PhysRevD.101.064020
| null |
hep-th astro-ph.GA gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A Symmetry Principle has been shown to augment unambiguously the Einstein
Field Equations, promoting the whole closed-string massless NS-NS sector to
stringy graviton fields. Here we consider its weak field approximation, take a
non-relativistic limit, and derive the stringy augmentation of Newton Gravity:
\[ \begin{array}{lll} {\bf{\nabla}^{2}\Phi}=4\pi G
\rho+\bf{H}{\bf{\cdot}}\bf{H}\,, \quad&\qquad\bf{\nabla}\bf{\cdot}\bf{H}=0\,,
\quad&\qquad {\bf{\nabla}\bf{\times}\bf{H}}=4\pi G\, \bf{K}\,. \end{array} \]
Not only the mass density $\rho$ but also the current density $\mathbf{K}$ is
intrinsic to matter. Sourcing $\mathbf{H}$ which is of NS-NS $H$-flux origin,
$\mathbf{K}$ is nontrivial if the matter is `stringy'. $\mathbf{H}$ contributes
quadratically to the Newton potential, but otherwise is decoupled from the
point particle dynamics, i.e. $\bf{\ddot{x}}=-\bf{\nabla}\Phi$. We define
`stringization' analogous to magnetization and discuss regular as well as
monopole-like singular solutions.
|
[
{
"created": "Tue, 31 Dec 2019 08:46:49 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Mar 2020 05:37:47 GMT",
"version": "v2"
}
] |
2020-03-16
|
[
[
"Cho",
"Kyoungho",
""
],
[
"Morand",
"Kevin",
""
],
[
"Park",
"Jeong-Hyuck",
""
]
] |
A Symmetry Principle has been shown to augment unambiguously the Einstein Field Equations, promoting the whole closed-string massless NS-NS sector to stringy graviton fields. Here we consider its weak field approximation, take a non-relativistic limit, and derive the stringy augmentation of Newton Gravity: \[ \begin{array}{lll} {\bf{\nabla}^{2}\Phi}=4\pi G \rho+\bf{H}{\bf{\cdot}}\bf{H}\,, \quad&\qquad\bf{\nabla}\bf{\cdot}\bf{H}=0\,, \quad&\qquad {\bf{\nabla}\bf{\times}\bf{H}}=4\pi G\, \bf{K}\,. \end{array} \] Not only the mass density $\rho$ but also the current density $\mathbf{K}$ is intrinsic to matter. Sourcing $\mathbf{H}$ which is of NS-NS $H$-flux origin, $\mathbf{K}$ is nontrivial if the matter is `stringy'. $\mathbf{H}$ contributes quadratically to the Newton potential, but otherwise is decoupled from the point particle dynamics, i.e. $\bf{\ddot{x}}=-\bf{\nabla}\Phi$. We define `stringization' analogous to magnetization and discuss regular as well as monopole-like singular solutions.
|
hep-th/9610227
|
Arshad Momen
|
Arshad Momen and Carl Rosenzweig
|
Deconfinement Transition and Flux-String Models
|
Figures enlarged, no real changes
|
Phys.Rev. D56 (1997) 1437-1444
|
10.1103/PhysRevD.56.1437
|
SU-4240-630
|
hep-th hep-lat hep-ph
| null |
Flux-string models can be used to study the deconfining phase transition. In
this note, we study the models proposed by Patel. We also study the large N_c
limits of Patel's model. To discuss the validity of the mean field theory
results, the one-loop Coleman-Weinberg effective potential is calculated for
N_c=3. We argue that the quantum corrections vanish at large N_c when the
energy of the so-called baryonic vertices scale with N_c.
|
[
{
"created": "Tue, 29 Oct 1996 00:26:38 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Feb 1997 01:09:14 GMT",
"version": "v2"
},
{
"created": "Wed, 26 Feb 1997 18:57:19 GMT",
"version": "v3"
}
] |
2009-10-30
|
[
[
"Momen",
"Arshad",
""
],
[
"Rosenzweig",
"Carl",
""
]
] |
Flux-string models can be used to study the deconfining phase transition. In this note, we study the models proposed by Patel. We also study the large N_c limits of Patel's model. To discuss the validity of the mean field theory results, the one-loop Coleman-Weinberg effective potential is calculated for N_c=3. We argue that the quantum corrections vanish at large N_c when the energy of the so-called baryonic vertices scale with N_c.
|
hep-th/0309250
|
Damiano Anselmi
|
Damiano Anselmi
|
Finiteness of quantum gravity coupled with matter in three spacetime
dimensions
|
21 pages, 3 figures; typos corrected, NPB version
|
Nucl.Phys. B687 (2004) 124-142
|
10.1016/j.nuclphysb.2004.03.024
|
IFUP-TH/03-39
|
hep-th
| null |
As it stands, quantum gravity coupled with matter in three spacetime
dimensions is not finite. In this paper I show that an algorithmic procedure
that makes it finite exists, under certain conditions. To achieve this result,
gravity is coupled with an interacting conformal field theory C. The Newton
constant and the marginal parameters of C are taken as independent couplings.
The values of the other irrelevant couplings are determined iteratively in the
loop- and energy-expansions, imposing that their beta functions vanish. The
finiteness equations are solvable thanks to the following properties: the beta
functions of the irrelevant couplings have a simple structure; the irrelevant
terms made with the Riemann tensor can be reabsorbed by means of field
redefinitions; the other irrelevant terms have, generically, non-vanishing
anomalous dimensions. The perturbative expansion is governed by an effective
Planck mass that takes care of the interactions in the matter sector. As an
example, I study gravity coupled with Chern-Simons U(1) gauge theory with
massless fermions, solve the finiteness equations and determine the
four-fermion couplings to two-loop order. The construction of this paper does
not immediately apply to four-dimensional quantum gravity.
|
[
{
"created": "Sun, 28 Sep 2003 11:59:17 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Oct 2003 18:27:50 GMT",
"version": "v2"
},
{
"created": "Wed, 8 Oct 2003 15:03:43 GMT",
"version": "v3"
},
{
"created": "Wed, 7 Apr 2004 15:29:00 GMT",
"version": "v4"
}
] |
2009-11-10
|
[
[
"Anselmi",
"Damiano",
""
]
] |
As it stands, quantum gravity coupled with matter in three spacetime dimensions is not finite. In this paper I show that an algorithmic procedure that makes it finite exists, under certain conditions. To achieve this result, gravity is coupled with an interacting conformal field theory C. The Newton constant and the marginal parameters of C are taken as independent couplings. The values of the other irrelevant couplings are determined iteratively in the loop- and energy-expansions, imposing that their beta functions vanish. The finiteness equations are solvable thanks to the following properties: the beta functions of the irrelevant couplings have a simple structure; the irrelevant terms made with the Riemann tensor can be reabsorbed by means of field redefinitions; the other irrelevant terms have, generically, non-vanishing anomalous dimensions. The perturbative expansion is governed by an effective Planck mass that takes care of the interactions in the matter sector. As an example, I study gravity coupled with Chern-Simons U(1) gauge theory with massless fermions, solve the finiteness equations and determine the four-fermion couplings to two-loop order. The construction of this paper does not immediately apply to four-dimensional quantum gravity.
|
0808.3929
|
Mark Fischler
|
Mark Fischler, Joe Lykken, and Tom Roberts
|
Direct Observation Limits on Antimatter Gravitation
|
Fermilab Physics Note prepared in response to a question by the PAC
concerning proposed experiment P891 (antihydrogen gravitation). 13 pages
| null | null |
FERMILAB-FN-0822-CD-T
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The proposed Antihydrogen Gravity experiment at Fermilab (P981) will directly
measure the gravitational attraction ("gbar") between antihydrogen and the
Earth, with an accuracy of 1% or better. The following key question has been
asked by the PAC:
Is a possible 1% difference between gbar and g already ruled out by other
evidence?
This memo presents the key points of existing evidence, to answer whether
such a difference is ruled out (a) on the basis of direct observational
evidence; and/or (b) on the basis of indirect evidence, combined with reasoning
based on strongly held theoretical assumptions. The bottom line is that there
are no direct observations or measurements of gravitational asymmetry which
address the antimatter sector. There is evidence which by indirect reasoning
can be taken to rule out such a difference, but the analysis needed to draw
that conclusion rests on models and assumptions which are in question for other
reasons and are thus worth testing. There is no compelling evidence or
theoretical reason to rule out such a difference at the 1% level.
|
[
{
"created": "Thu, 28 Aug 2008 15:22:59 GMT",
"version": "v1"
}
] |
2008-08-29
|
[
[
"Fischler",
"Mark",
""
],
[
"Lykken",
"Joe",
""
],
[
"Roberts",
"Tom",
""
]
] |
The proposed Antihydrogen Gravity experiment at Fermilab (P981) will directly measure the gravitational attraction ("gbar") between antihydrogen and the Earth, with an accuracy of 1% or better. The following key question has been asked by the PAC: Is a possible 1% difference between gbar and g already ruled out by other evidence? This memo presents the key points of existing evidence, to answer whether such a difference is ruled out (a) on the basis of direct observational evidence; and/or (b) on the basis of indirect evidence, combined with reasoning based on strongly held theoretical assumptions. The bottom line is that there are no direct observations or measurements of gravitational asymmetry which address the antimatter sector. There is evidence which by indirect reasoning can be taken to rule out such a difference, but the analysis needed to draw that conclusion rests on models and assumptions which are in question for other reasons and are thus worth testing. There is no compelling evidence or theoretical reason to rule out such a difference at the 1% level.
|
hep-th/0609005
|
David Bailin
|
David Bailin, Alex Love
|
The supersymmetric standard model from the Z_6' orientifold?
|
4 pages. To appear in Proceedings of SUSY06, the 14th International
Conference on Supersymmetry and the Unification of Fundamental Interactions,
UC Irvine, California, 12-17 June 2006
|
AIPConf.Proc.903:501-504,2007
|
10.1063/1.2735233
|
SUSX-TH-060901
|
hep-th
| null |
We construct N=1 supersymmetric fractional branes on the Z_6' orientifold.
Intersecting stacks of such branes are needed to build a supersymmetric
standard model. If $a,b$ are the stacks that generate the SU(3)_c and SU(2)_L
gauge particles, then, in order to obtain just the chiral spectrum of the
(supersymmetric) standard model (with non-zero Yukawa couplings to the Higgs
mutiplets), it is necessary that the number of intersections a \cap b of the
stacks a and b, and the number of intersections a \cap b' of a with the
orientifold image b' of b satisfy (a \cap b,a \cap b')=(2,1) or (1,2). It is
also necessary that there is no matter in symmetric representations of either
gauge group. We have found a number of examples having these properties.
|
[
{
"created": "Fri, 1 Sep 2006 10:41:06 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Bailin",
"David",
""
],
[
"Love",
"Alex",
""
]
] |
We construct N=1 supersymmetric fractional branes on the Z_6' orientifold. Intersecting stacks of such branes are needed to build a supersymmetric standard model. If $a,b$ are the stacks that generate the SU(3)_c and SU(2)_L gauge particles, then, in order to obtain just the chiral spectrum of the (supersymmetric) standard model (with non-zero Yukawa couplings to the Higgs mutiplets), it is necessary that the number of intersections a \cap b of the stacks a and b, and the number of intersections a \cap b' of a with the orientifold image b' of b satisfy (a \cap b,a \cap b')=(2,1) or (1,2). It is also necessary that there is no matter in symmetric representations of either gauge group. We have found a number of examples having these properties.
|
hep-th/9808184
|
Steven Corley
|
Steven Corley
|
The massless gravitino and the AdS/CFT correspondence
|
10 pages, RevTeX
|
Phys. Rev. D 59, 086003 (1999)
|
10.1103/PhysRevD.59.086003
| null |
hep-th
| null |
We solve the Dirichlet boundary value problem for the massless gravitino on
$AdS_{d+1}$ space and compute the two-point function of the dual CFT
supersymmetry currents using the $AdS$/CFT correspondence principle. We find
analogously to the spinor case that the boundary data for the massless $(d+1)$
dimensional bulk gravitino field consists of only a $(d-1)$ dimensional
gravitino.
|
[
{
"created": "Sun, 30 Aug 1998 22:23:48 GMT",
"version": "v1"
}
] |
2016-08-25
|
[
[
"Corley",
"Steven",
""
]
] |
We solve the Dirichlet boundary value problem for the massless gravitino on $AdS_{d+1}$ space and compute the two-point function of the dual CFT supersymmetry currents using the $AdS$/CFT correspondence principle. We find analogously to the spinor case that the boundary data for the massless $(d+1)$ dimensional bulk gravitino field consists of only a $(d-1)$ dimensional gravitino.
|
1311.4156
|
Nathan Berkovits
|
Nathan Berkovits (ICTP-SAIFR/IFT-UNESP, Sao Paulo)
|
Infinite Tension Limit of the Pure Spinor Superstring
|
8 pages, added footnote and references
| null |
10.1007/JHEP03(2014)017
|
ICTP-SAIFR/2013-13
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Mason and Skinner recently constructed a chiral infinite tension limit of the
Ramond-Neveu-Schwarz superstring which was shown to compute the Cachazo-He-Yuan
formulae for tree-level d=10 Yang-Mills amplitudes and the NS-NS sector of
tree-level d=10 supergravity amplitudes. In this letter, their chiral infinite
tension limit is generalized to the pure spinor superstring which computes a
d=10 superspace version of the Cachazo-He-Yuan formulae for tree-level d=10
super-Yang-Mills and supergravity amplitudes.
|
[
{
"created": "Sun, 17 Nov 2013 13:10:12 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Dec 2013 16:11:15 GMT",
"version": "v2"
}
] |
2015-06-17
|
[
[
"Berkovits",
"Nathan",
"",
"ICTP-SAIFR/IFT-UNESP, Sao Paulo"
]
] |
Mason and Skinner recently constructed a chiral infinite tension limit of the Ramond-Neveu-Schwarz superstring which was shown to compute the Cachazo-He-Yuan formulae for tree-level d=10 Yang-Mills amplitudes and the NS-NS sector of tree-level d=10 supergravity amplitudes. In this letter, their chiral infinite tension limit is generalized to the pure spinor superstring which computes a d=10 superspace version of the Cachazo-He-Yuan formulae for tree-level d=10 super-Yang-Mills and supergravity amplitudes.
|
1003.1102
|
Rodrigo Ferreira Sobreiro
|
R. F. Sobreiro, V. J. Vasquez Otoya
|
On the topological reduction from the affine to the orthogonal gauge
theory of gravity
|
22 pages, no figures. V2: Title changed, Small changes on the text,
references added. Final version to appear in Journal Of Geometry and Physics
|
J.Geom.Phys.61:137-150,2011
|
10.1016/j.geomphys.2010.09.009
| null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Making use of the fibre bundle theory to describe metric-affine gauge
theories of gravity we are able to show that metric-affine gauge theory can be
reduced to the Riemann-Cartan one. The price we pay for simplifying the
geometry is the presence of matter fields associated with the nonmetric degrees
of freedom of the original setup. Also, a possible framework for the
construction of a quantum gravity theory is developed along the text.
|
[
{
"created": "Thu, 4 Mar 2010 18:13:54 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Sep 2010 00:08:18 GMT",
"version": "v2"
}
] |
2010-12-13
|
[
[
"Sobreiro",
"R. F.",
""
],
[
"Otoya",
"V. J. Vasquez",
""
]
] |
Making use of the fibre bundle theory to describe metric-affine gauge theories of gravity we are able to show that metric-affine gauge theory can be reduced to the Riemann-Cartan one. The price we pay for simplifying the geometry is the presence of matter fields associated with the nonmetric degrees of freedom of the original setup. Also, a possible framework for the construction of a quantum gravity theory is developed along the text.
|
1001.5212
|
Tom\'a\v{s} Brauner
|
Tomas Brauner
|
Spontaneous Symmetry Breaking and Nambu-Goldstone Bosons in Quantum
Many-Body Systems
|
49 pages, 2 pdf figures; v2: short discussion of pseudo-NG bosons and
some references added + other minor corrections, version to be published
|
Symmetry 2: 609-657, 2010
|
10.3390/sym2020609
| null |
hep-th cond-mat.quant-gas cond-mat.str-el hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Spontaneous symmetry breaking is a general principle, that constitutes the
underlying concept of a vast number of physical phenomena ranging from
ferromagnetism and superconductivity in condensed matter physics to the Higgs
mechanism in the standard model of elementary particles. I focus on
manifestations of spontaneously broken symmetries in systems that are not
Lorentz invariant, which include both, nonrelativistic systems as well as
relativistic systems at nonzero density, providing a self-contained review of
the properties of spontaneously broken symmetries specific to such theories.
Topics covered include: (i) Introduction to the mathematics of spontaneous
symmetry breaking and the Goldstone theorem. (ii) Minimization of Higgs-type
potentials for higher-dimensional representations. (iii) Counting rules for
Nambu-Goldstone bosons and their dispersion relations. (iv) Construction of
effective Lagrangians. Specific examples in both relativistic and
nonrelativistic physics are worked out in detail.
|
[
{
"created": "Thu, 28 Jan 2010 16:37:44 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Apr 2010 22:02:04 GMT",
"version": "v2"
}
] |
2015-03-13
|
[
[
"Brauner",
"Tomas",
""
]
] |
Spontaneous symmetry breaking is a general principle, that constitutes the underlying concept of a vast number of physical phenomena ranging from ferromagnetism and superconductivity in condensed matter physics to the Higgs mechanism in the standard model of elementary particles. I focus on manifestations of spontaneously broken symmetries in systems that are not Lorentz invariant, which include both, nonrelativistic systems as well as relativistic systems at nonzero density, providing a self-contained review of the properties of spontaneously broken symmetries specific to such theories. Topics covered include: (i) Introduction to the mathematics of spontaneous symmetry breaking and the Goldstone theorem. (ii) Minimization of Higgs-type potentials for higher-dimensional representations. (iii) Counting rules for Nambu-Goldstone bosons and their dispersion relations. (iv) Construction of effective Lagrangians. Specific examples in both relativistic and nonrelativistic physics are worked out in detail.
|
1110.3949
|
Shota Komatsu
|
Yoichi Kazama and Shota Komatsu
|
On holographic three point functions for GKP strings from integrability
|
62 pages;v2 Typos and equation (3.7) corrected. Clarifying remarks
added in Section 4.1. Published version;v3 Minor errors found in version 2
are corrected. For explanation of the revision, see Erratum published in
http://www.springerlink.com/content/m67055235407vx67/?MUD=MP
|
JHEP 1201 (2012) 110
|
10.1007/JHEP01(2012)110
|
UT-Komaba 11-9
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Adapting the powerful integrability-based formalism invented previously for
the calculation of gluon scattering amplitudes at strong coupling, we develop a
method for computing the holographic three point functions for the large spin
limit of Gubser-Klebanov- Polyakov (GKP) strings. Although many of the ideas
from the gluon scattering problem can be transplanted with minor modifications,
the fact that the information of the external states is now encoded in the
singularities at the vertex insertion points necessitates several new
techniques. Notably, we develop a new generalized Riemann bilinear identity,
which allows one to express the area integral in terms of appropriate contour
integrals in the presence of such singularities. We also give some general
discussions on how semiclassical vertex operators for heavy string states
should be constructed systematically from the solutions of the Hamilton-Jacobi
equation.
|
[
{
"created": "Tue, 18 Oct 2011 12:08:48 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Jan 2012 08:56:26 GMT",
"version": "v2"
},
{
"created": "Tue, 3 Jul 2012 03:22:09 GMT",
"version": "v3"
}
] |
2012-07-04
|
[
[
"Kazama",
"Yoichi",
""
],
[
"Komatsu",
"Shota",
""
]
] |
Adapting the powerful integrability-based formalism invented previously for the calculation of gluon scattering amplitudes at strong coupling, we develop a method for computing the holographic three point functions for the large spin limit of Gubser-Klebanov- Polyakov (GKP) strings. Although many of the ideas from the gluon scattering problem can be transplanted with minor modifications, the fact that the information of the external states is now encoded in the singularities at the vertex insertion points necessitates several new techniques. Notably, we develop a new generalized Riemann bilinear identity, which allows one to express the area integral in terms of appropriate contour integrals in the presence of such singularities. We also give some general discussions on how semiclassical vertex operators for heavy string states should be constructed systematically from the solutions of the Hamilton-Jacobi equation.
|
2101.05230
|
Ctirad Klimcik
|
Ctirad Klimcik
|
Brief lectures on duality, integrability and deformations
|
43 pages, the origin (URL) of the pictures is specified
| null |
10.1142/S0129055X21300041
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We provide a pedagogical introduction to some aspects of integrability,
dualities and deformations of physical systems in 0+1 and in 1+1 dimensions. In
particular, we concentrate on the T-duality of point particles and strings as
well as on the Ruijsenaars duality of finite many-body integrable models, we
review the concept of the integrability and, in particular, of the Lax
integrability and we analyze the basic examples of the Yang-Baxter deformations
of non-linear sigma-models. The central mathematical structure which we
describe in detail is the E-model which is the dynamical system exhibiting all
those three phenomena simultaneously. The last part of the paper contains
original results, in particular a formulation of sufficient conditions for
strong integrability of non-degenerate E-models.
|
[
{
"created": "Wed, 13 Jan 2021 17:44:45 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Jan 2021 18:35:15 GMT",
"version": "v2"
}
] |
2021-07-07
|
[
[
"Klimcik",
"Ctirad",
""
]
] |
We provide a pedagogical introduction to some aspects of integrability, dualities and deformations of physical systems in 0+1 and in 1+1 dimensions. In particular, we concentrate on the T-duality of point particles and strings as well as on the Ruijsenaars duality of finite many-body integrable models, we review the concept of the integrability and, in particular, of the Lax integrability and we analyze the basic examples of the Yang-Baxter deformations of non-linear sigma-models. The central mathematical structure which we describe in detail is the E-model which is the dynamical system exhibiting all those three phenomena simultaneously. The last part of the paper contains original results, in particular a formulation of sufficient conditions for strong integrability of non-degenerate E-models.
|
2106.10265
|
Max Hubner
|
Lakshya Bhardwaj, Max Hubner, Sakura Schafer-Nameki
|
Liberating Confinement from Lagrangians: 1-form Symmetries and Lines in
4d N=1 from 6d N=(2,0)
|
86 pages, many tikz figures, v2: references added
|
SciPost Phys. 12, 040 (2022)
|
10.21468/SciPostPhys.12.1.040
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study confinement in 4d N=1 theories obtained by deforming 4d N=2 theories
of Class S. We argue that confinement in a vacuum of the N=1 theory is encoded
in the 1-cycles of the associated N=1 curve. This curve is the spectral cover
associated to a generalized Hitchin system describing the profiles of two Higgs
fields over the Riemann surface upon which the 6d (2,0) theory is compactified.
Using our method, we reproduce the expected properties of confinement in
various classic examples, such as 4d N=1 pure Super-Yang-Mills theory and the
Cachazo-Seiberg-Witten setup. More generally, this work can be viewed as
providing tools for probing confinement in non-Lagrangian N=1 theories, which
we illustrate by constructing an infinite class of non-Lagrangian N=1 theories
that contain confining vacua. The simplest model in this class is an N=1
deformation of the N=2 theory obtained by gauging $SU(3)^3$ flavor symmetry of
the $E_6$ Minahan-Nemeschansky theory.
|
[
{
"created": "Fri, 18 Jun 2021 17:53:19 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Jul 2021 10:52:35 GMT",
"version": "v2"
}
] |
2022-01-26
|
[
[
"Bhardwaj",
"Lakshya",
""
],
[
"Hubner",
"Max",
""
],
[
"Schafer-Nameki",
"Sakura",
""
]
] |
We study confinement in 4d N=1 theories obtained by deforming 4d N=2 theories of Class S. We argue that confinement in a vacuum of the N=1 theory is encoded in the 1-cycles of the associated N=1 curve. This curve is the spectral cover associated to a generalized Hitchin system describing the profiles of two Higgs fields over the Riemann surface upon which the 6d (2,0) theory is compactified. Using our method, we reproduce the expected properties of confinement in various classic examples, such as 4d N=1 pure Super-Yang-Mills theory and the Cachazo-Seiberg-Witten setup. More generally, this work can be viewed as providing tools for probing confinement in non-Lagrangian N=1 theories, which we illustrate by constructing an infinite class of non-Lagrangian N=1 theories that contain confining vacua. The simplest model in this class is an N=1 deformation of the N=2 theory obtained by gauging $SU(3)^3$ flavor symmetry of the $E_6$ Minahan-Nemeschansky theory.
|
0905.3638
|
Christopher Eling
|
Christopher Eling, Itzhak Fouxon, and Yaron Oz
|
The Incompressible Navier-Stokes Equations From Black Hole Membrane
Dynamics
|
5 pages; v2: expanded discussion to clarify a few points, title
slightly changed
|
Phys.Lett.B680:496-499,2009
|
10.1016/j.physletb.2009.09.028
| null |
hep-th gr-qc nlin.CD
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the dynamics of a d+1 space-time dimensional membrane defined by
the event horizon of a black brane in (d+2)-dimensional asymptotically
Anti-de-Sitter space-time and show that it is described by the d-dimensional
incompressible Navier-Stokes equations of non-relativistic fluids. The fluid
velocity corresponds to the normal to the horizon while the rate of change in
the fluid energy is equal to minus the rate of change in the horizon
cross-sectional area. The analysis is performed in the Membrane Paradigm
approach to black holes and it holds for a general non-singular null
hypersurface, provided a large scale hydrodynamic limit exists. Thus we find,
for instance, that the dynamics of the Rindler acceleration horizon is also
described by the incompressible Navier-Stokes equations. The result resembles
the relation between the Burgers and KPZ equations and we discuss its
implications.
|
[
{
"created": "Fri, 22 May 2009 09:04:17 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Jul 2009 15:55:18 GMT",
"version": "v2"
}
] |
2009-10-06
|
[
[
"Eling",
"Christopher",
""
],
[
"Fouxon",
"Itzhak",
""
],
[
"Oz",
"Yaron",
""
]
] |
We consider the dynamics of a d+1 space-time dimensional membrane defined by the event horizon of a black brane in (d+2)-dimensional asymptotically Anti-de-Sitter space-time and show that it is described by the d-dimensional incompressible Navier-Stokes equations of non-relativistic fluids. The fluid velocity corresponds to the normal to the horizon while the rate of change in the fluid energy is equal to minus the rate of change in the horizon cross-sectional area. The analysis is performed in the Membrane Paradigm approach to black holes and it holds for a general non-singular null hypersurface, provided a large scale hydrodynamic limit exists. Thus we find, for instance, that the dynamics of the Rindler acceleration horizon is also described by the incompressible Navier-Stokes equations. The result resembles the relation between the Burgers and KPZ equations and we discuss its implications.
|
hep-th/9703227
|
Stephen Hsu
|
Stephen D.H. Hsu and Myckola Schwetz (Yale U)
|
A Note on Supersymmetry Breaking
|
10 pages, LaTeX. Additional reference added, minor change to last
subsection
|
Phys.Lett. B405 (1997) 287-292
|
10.1016/S0370-2693(97)00640-0
|
YCTP-P3-97
|
hep-th hep-ph
| null |
Using a simple observation based on holomorphy, we argue that any model which
spontaneously breaks supersymmetry for some range of a parameter will do so
generically for all values of that parameter, modulo some isolated exceptional
points. Conversely, a model which preserves supersymmetry for some range of a
parameter will also do so everywhere except at isolated exceptional points. We
discuss how these observations can be useful in the construction of new models
which break supersymmetry and discuss some simple examples. We also comment on
the relation of these results to the Witten index.
|
[
{
"created": "Mon, 31 Mar 1997 19:53:33 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Apr 1997 19:21:02 GMT",
"version": "v2"
},
{
"created": "Sat, 31 Jan 1998 20:14:10 GMT",
"version": "v3"
}
] |
2009-10-30
|
[
[
"Hsu",
"Stephen D. H.",
"",
"Yale U"
],
[
"Schwetz",
"Myckola",
"",
"Yale U"
]
] |
Using a simple observation based on holomorphy, we argue that any model which spontaneously breaks supersymmetry for some range of a parameter will do so generically for all values of that parameter, modulo some isolated exceptional points. Conversely, a model which preserves supersymmetry for some range of a parameter will also do so everywhere except at isolated exceptional points. We discuss how these observations can be useful in the construction of new models which break supersymmetry and discuss some simple examples. We also comment on the relation of these results to the Witten index.
|
0710.2579
|
Masaki Murata
|
Hiroyuki Hata and Masaki Murata
|
Baryons and the Chern-Simons term in holographic QCD with three flavors
|
32 pages, 3 figures, v2: references added, minor changes
|
Prog.Theor.Phys.119:461-490,2008
|
10.1143/PTP.119.461
|
KUNS-2103, YITP-07-62
|
hep-th hep-ph
| null |
We study dynamical baryons in the holographic QCD model of Sakai and Sugimoto
in the case of three flavors and with special interest in the construction of
the Chern-Simons (CS) term. The baryon classical solution in this model is
given by the BPST instanton, and we carry out the collective coordinate
quantization of the solution. The CS term should give rise to a first class
constraint which selects baryon states with right spins. However, the original
CS term written in terms of the CS 5-form does not work. We instead propose a
new CS term which is gauge invariant and is given as an integral over a six
dimensional space having as its boundary the original five dimensional
spacetime of the holographic model. Collective coordinate quantization using
our new CS term leads to correct baryon states and their mass formula.
|
[
{
"created": "Sat, 13 Oct 2007 03:36:25 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Nov 2007 05:19:36 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Hata",
"Hiroyuki",
""
],
[
"Murata",
"Masaki",
""
]
] |
We study dynamical baryons in the holographic QCD model of Sakai and Sugimoto in the case of three flavors and with special interest in the construction of the Chern-Simons (CS) term. The baryon classical solution in this model is given by the BPST instanton, and we carry out the collective coordinate quantization of the solution. The CS term should give rise to a first class constraint which selects baryon states with right spins. However, the original CS term written in terms of the CS 5-form does not work. We instead propose a new CS term which is gauge invariant and is given as an integral over a six dimensional space having as its boundary the original five dimensional spacetime of the holographic model. Collective coordinate quantization using our new CS term leads to correct baryon states and their mass formula.
|
1604.07843
|
Dan Xie
|
Bingyi Chen, Dan Xie, Shing-Tung Yau, Stephen S.-T. Yau, Huaiqing Zuo
|
4d N=2 SCFT and singularity theory Part II: Complete intersection
|
64 pages, 1 figure
| null | null | null |
hep-th math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We classify three dimensional isolated weighted homogeneous rational complete
intersection singularities, which define many new four dimensional N=2
superconformal field theories. We also determine the mini-versal deformation of
these singularities, and therefore solve the Coulomb branch spectrum and
Seiberg-Witten solution.
|
[
{
"created": "Tue, 26 Apr 2016 20:25:36 GMT",
"version": "v1"
}
] |
2016-04-28
|
[
[
"Chen",
"Bingyi",
""
],
[
"Xie",
"Dan",
""
],
[
"Yau",
"Shing-Tung",
""
],
[
"Yau",
"Stephen S. -T.",
""
],
[
"Zuo",
"Huaiqing",
""
]
] |
We classify three dimensional isolated weighted homogeneous rational complete intersection singularities, which define many new four dimensional N=2 superconformal field theories. We also determine the mini-versal deformation of these singularities, and therefore solve the Coulomb branch spectrum and Seiberg-Witten solution.
|
hep-th/9710150
|
Indranil Dasgupta
|
Indranil Dasgupta
|
The imaginary time Path Integral and non-time-reversal-invariant- saddle
points of the Euclidean Action
|
19 pages, LaTex, 5 epsf figures. A new example from quantum mechanics
is included. The role of internal symmetries is discussed. To be published in
Nucl. Phys. B
|
Nucl.Phys. B523 (1998) 403-419
|
10.1016/S0550-3213(98)00284-3
|
BUHEP-97-18, UCTP 107/97
|
hep-th hep-ph
| null |
We discuss new bounce-like (but non-time-reversal-invariant-) solutions to
Euclidean equations of motion, which we dub boomerons. In the Euclidean path
integral approach to quantum theories, boomerons make an imaginary contribution
to the vacuum energy. The fake vacuum instabilty can be removed by cancelling
boomeron contributions against contributions from time reversed boomerons
(anti-boomerons). The cancellation rests on a sign choice whose significance is
not completely understood in the path integral method.
|
[
{
"created": "Sun, 19 Oct 1997 23:49:39 GMT",
"version": "v1"
},
{
"created": "Sun, 7 Dec 1997 22:28:48 GMT",
"version": "v2"
},
{
"created": "Tue, 14 Apr 1998 01:12:30 GMT",
"version": "v3"
}
] |
2009-10-30
|
[
[
"Dasgupta",
"Indranil",
""
]
] |
We discuss new bounce-like (but non-time-reversal-invariant-) solutions to Euclidean equations of motion, which we dub boomerons. In the Euclidean path integral approach to quantum theories, boomerons make an imaginary contribution to the vacuum energy. The fake vacuum instabilty can be removed by cancelling boomeron contributions against contributions from time reversed boomerons (anti-boomerons). The cancellation rests on a sign choice whose significance is not completely understood in the path integral method.
|
hep-th/0003257
|
Mueller-Kirsten
|
J.-Q.Liang, H.J.W.Mueller-Kirsten, D.K.Park and A.V.Shurgaia
|
Nucleation at finite temperature beyond the superminispace model
|
15 pages, 3 figures
|
Phys.Lett. B483 (2000) 225-234
|
10.1016/S0370-2693(00)00577-3
| null |
hep-th
| null |
The transition from the quantum to the classical regime of the nucleation of
the closed Robertson-Walker Universe with spacially homogeneous matter fields
is investigated with a perturbation expansion around the sphaleron
configuration. A criterion is derived for the occurrence of a first-order type
transition, and the related phase diagram for scalar and vector fields is
obtained. For scalar fields both the first and second order transitions can
occur depending on the shape of the potential barrier. For a vector field, here
that of an O(3) nonlinear $\sigma$-model, the transition is seen to be only of
the first order.
|
[
{
"created": "Tue, 28 Mar 2000 09:51:48 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Liang",
"J. -Q.",
""
],
[
"Mueller-Kirsten",
"H. J. W.",
""
],
[
"Park",
"D. K.",
""
],
[
"Shurgaia",
"A. V.",
""
]
] |
The transition from the quantum to the classical regime of the nucleation of the closed Robertson-Walker Universe with spacially homogeneous matter fields is investigated with a perturbation expansion around the sphaleron configuration. A criterion is derived for the occurrence of a first-order type transition, and the related phase diagram for scalar and vector fields is obtained. For scalar fields both the first and second order transitions can occur depending on the shape of the potential barrier. For a vector field, here that of an O(3) nonlinear $\sigma$-model, the transition is seen to be only of the first order.
|
hep-th/0206164
|
Mina Aganagic
|
Mina Aganagic, Marcos Marino and Cumrun Vafa
|
All Loop Topological String Amplitudes From Chern-Simons Theory
|
62 pages, 15 figures, harvmac
|
Commun.Math.Phys. 247 (2004) 467-512
|
10.1007/s00220-004-1067-x
|
HUTP-02/A024
|
hep-th math.AG math.GT
| null |
We demonstrate the equivalence of all loop closed topological string
amplitudes on toric local Calabi-Yau threefolds with computations of certain
knot invariants for Chern-Simons theory. We use this equivalence to compute the
topological string amplitudes in certain cases to very high degree and to all
genera. In particular we explicitly compute the topological string amplitudes
for P2 up to degree 12 and P1 x P1 up to total degree 10 to all genera. This
also leads to certain novel large N dualities in the context of ordinary
superstrings, involving duals of type II superstrings on local Calabi-Yau
three-folds without any fluxes.
|
[
{
"created": "Tue, 18 Jun 2002 15:26:15 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Aganagic",
"Mina",
""
],
[
"Marino",
"Marcos",
""
],
[
"Vafa",
"Cumrun",
""
]
] |
We demonstrate the equivalence of all loop closed topological string amplitudes on toric local Calabi-Yau threefolds with computations of certain knot invariants for Chern-Simons theory. We use this equivalence to compute the topological string amplitudes in certain cases to very high degree and to all genera. In particular we explicitly compute the topological string amplitudes for P2 up to degree 12 and P1 x P1 up to total degree 10 to all genera. This also leads to certain novel large N dualities in the context of ordinary superstrings, involving duals of type II superstrings on local Calabi-Yau three-folds without any fluxes.
|
hep-th/0305034
|
Michael A. Lomholt
|
A.L. Larsen, M.A. Lomholt
|
Open String Fluctuations in AdS with and without Torsion
|
19 pages, Latex
|
Phys.Rev. D68 (2003) 066002
|
10.1103/PhysRevD.68.066002
| null |
hep-th gr-qc
| null |
The equations of motion and boundary conditions for the fluctuations around a
classical open string, in a curved space-time with torsion, are considered in
compact and world-sheet covariant form. The rigidly rotating open strings in
Anti de Sitter space with and without torsion are investigated in detail. By
carefully analyzing the tangential fluctuations at the boundary, we show
explicitly that the physical fluctuations (which at the boundary are
combinations of normal and tangential fluctuations) are finite, even though the
world-sheet is singular there. The divergent 2-curvature thus seems less
dangerous than expected, in these cases. The general formalism can be
straightforwardly used also to study the (bosonic part of the) fluctuations
around the closed strings, recently considered in connection with the AdS/CFT
duality, on AdS_5 \times S^5 and AdS_3 \times S^3 \times T^4.
|
[
{
"created": "Mon, 5 May 2003 12:20:16 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Larsen",
"A. L.",
""
],
[
"Lomholt",
"M. A.",
""
]
] |
The equations of motion and boundary conditions for the fluctuations around a classical open string, in a curved space-time with torsion, are considered in compact and world-sheet covariant form. The rigidly rotating open strings in Anti de Sitter space with and without torsion are investigated in detail. By carefully analyzing the tangential fluctuations at the boundary, we show explicitly that the physical fluctuations (which at the boundary are combinations of normal and tangential fluctuations) are finite, even though the world-sheet is singular there. The divergent 2-curvature thus seems less dangerous than expected, in these cases. The general formalism can be straightforwardly used also to study the (bosonic part of the) fluctuations around the closed strings, recently considered in connection with the AdS/CFT duality, on AdS_5 \times S^5 and AdS_3 \times S^3 \times T^4.
|
1209.0451
|
Girma Hailu
|
Girma Hailu
|
Cosmology on Compact and Stable Supergravity Background
|
30 pages
|
Phys.Rev. D86 (2012) 103530
|
10.1103/PhysRevD.86.103530
| null |
hep-th astro-ph.CO hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a cosmological model of D3-brane universe on compact and stable
supergravity background of wrapped D7-branes in type IIB string theory
previously argued to be dual to pure N=1 SU(N) gauge theory in four dimensions.
A model universe of order Planck size near the UV boundary dynamically flows
toward the IR with constant total energy density and accelerating expansion
followed by smooth transition to decelerating expansion and collides with the
wrapped D7-branes at the IR boundary. The model addresses the horizon and
flatness problems with most of the expansion produced during the decelerating
expansion phase. The inflationary scenario is used to generate sources of
inhomogeneities in the cosmic microwave background radiation and seeds for
large scale structure formation from quantum fluctuations which exit the Hubble
radius early during the accelerating expansion phase and the model addresses
the inhomogeneity problem with red tilt in the power spectrum. We propose that
the kinetic energy of the model universe is converted to matter and radiation
by the collision followed by formation of baryons that stabilizes the model
universe against gravitational force from the background at a finite distance
from the IR boundary with the wrapped D7-branes serving as sources of color.
Friedmann evolution then takes over with a positive cosmological constant term
coming from the remaining potential energy density which is interpreted as dark
energy. The magnitude of dark energy density is smaller than the total energy
density during the flow by a ratio of the scale factor when the model universe
appears in the UV to the scale factor at the moment of collision and stays
constant while the matter-radiation density falls during Friedmann expansion.
|
[
{
"created": "Mon, 3 Sep 2012 19:59:52 GMT",
"version": "v1"
}
] |
2013-05-30
|
[
[
"Hailu",
"Girma",
""
]
] |
We propose a cosmological model of D3-brane universe on compact and stable supergravity background of wrapped D7-branes in type IIB string theory previously argued to be dual to pure N=1 SU(N) gauge theory in four dimensions. A model universe of order Planck size near the UV boundary dynamically flows toward the IR with constant total energy density and accelerating expansion followed by smooth transition to decelerating expansion and collides with the wrapped D7-branes at the IR boundary. The model addresses the horizon and flatness problems with most of the expansion produced during the decelerating expansion phase. The inflationary scenario is used to generate sources of inhomogeneities in the cosmic microwave background radiation and seeds for large scale structure formation from quantum fluctuations which exit the Hubble radius early during the accelerating expansion phase and the model addresses the inhomogeneity problem with red tilt in the power spectrum. We propose that the kinetic energy of the model universe is converted to matter and radiation by the collision followed by formation of baryons that stabilizes the model universe against gravitational force from the background at a finite distance from the IR boundary with the wrapped D7-branes serving as sources of color. Friedmann evolution then takes over with a positive cosmological constant term coming from the remaining potential energy density which is interpreted as dark energy. The magnitude of dark energy density is smaller than the total energy density during the flow by a ratio of the scale factor when the model universe appears in the UV to the scale factor at the moment of collision and stays constant while the matter-radiation density falls during Friedmann expansion.
|
2407.15949
|
Nirmalya Kajuri
|
Parijat Dey, Nirmalya Kajuri, Rhitaparna Pal
|
Bulk reconstruction in 2D multi-horizon black hole
|
13 pages, 2 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The goal of the bulk reconstruction program is to construct boundary
representations of fields in asymptotically Anti-de Sitter spacetimes. In this
paper, we extend the program by computing the boundary representation of
massless fields in an Achucarro-Ortiz black hole spacetime. We obtain analytic
expressions for smearing functions in both the exterior and interior of the
black hole. We also obtain expressions for Papadodimas-Raju mirror operators.
|
[
{
"created": "Mon, 22 Jul 2024 18:02:28 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Jul 2024 23:10:14 GMT",
"version": "v2"
}
] |
2024-07-31
|
[
[
"Dey",
"Parijat",
""
],
[
"Kajuri",
"Nirmalya",
""
],
[
"Pal",
"Rhitaparna",
""
]
] |
The goal of the bulk reconstruction program is to construct boundary representations of fields in asymptotically Anti-de Sitter spacetimes. In this paper, we extend the program by computing the boundary representation of massless fields in an Achucarro-Ortiz black hole spacetime. We obtain analytic expressions for smearing functions in both the exterior and interior of the black hole. We also obtain expressions for Papadodimas-Raju mirror operators.
|
1512.05994
|
Evgeny Skvortsov D
|
E.D. Skvortsov
|
On (Un)Broken Higher-Spin Symmetry in Vector Models
|
35 pages=27+Appendices; tiny modifications, typos fixed
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The simplest consequences of exact and broken higher-spin symmetry are
studied. The one-loop anomalous dimensions of higher-spin currents are
determined from the multiplet recombination in the spirit of the modern
bootstrap programme: the Wilson-Fisher CFT is studied both in the
epsilon-expansion and in the large-N. The bulk implications are briefly
addressed: part of the higher-spin theory cubic action is reconstructed;
one-loop corrections to the AdS masses of higher-spin fields are discussed.
|
[
{
"created": "Fri, 18 Dec 2015 15:39:15 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Dec 2015 11:28:34 GMT",
"version": "v2"
},
{
"created": "Tue, 29 Dec 2015 13:42:28 GMT",
"version": "v3"
}
] |
2015-12-31
|
[
[
"Skvortsov",
"E. D.",
""
]
] |
The simplest consequences of exact and broken higher-spin symmetry are studied. The one-loop anomalous dimensions of higher-spin currents are determined from the multiplet recombination in the spirit of the modern bootstrap programme: the Wilson-Fisher CFT is studied both in the epsilon-expansion and in the large-N. The bulk implications are briefly addressed: part of the higher-spin theory cubic action is reconstructed; one-loop corrections to the AdS masses of higher-spin fields are discussed.
|
hep-th/0110086
|
Shyamoli Chaudhuri
|
Shyamoli Chaudhuri
|
The Power of Worldsheets: Applications and Prospects
|
12 pages, sections 7,8 are updated. References added
| null |
10.1063/1.1454355
| null |
hep-th
| null |
We explain how perturbative string theory can be viewed as an exactly
renormalizable Weyl invariant quantum mechanics in the worldsheet
representation clarifying why string scattering amplitudes are both finite and
unambiguously normalized and explaining the origin of UV-IR relations in
spacetime. As applications we examine the worldsheet representation of
nonperturbative type IB states and of string solitons. We conclude with an
analysis of the thermodynamics of a free closed string gas establishing the
absence of the Hagedorn phase transition. We show that the 10D heterotic
strings share a stable finite temperature ground state with gauge group
SO(16)xSO(16). The free energy at the self-dual Kosterlitz-Thouless phase
transition is minimized with finite entropy and positive specific heat. The
open and closed string gas transitions to a confining long string phase at a
temperature at or below the string scale in the presence of an external
electric field.
|
[
{
"created": "Tue, 9 Oct 2001 16:25:24 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Oct 2001 08:48:41 GMT",
"version": "v2"
},
{
"created": "Tue, 20 Aug 2002 21:19:45 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Chaudhuri",
"Shyamoli",
""
]
] |
We explain how perturbative string theory can be viewed as an exactly renormalizable Weyl invariant quantum mechanics in the worldsheet representation clarifying why string scattering amplitudes are both finite and unambiguously normalized and explaining the origin of UV-IR relations in spacetime. As applications we examine the worldsheet representation of nonperturbative type IB states and of string solitons. We conclude with an analysis of the thermodynamics of a free closed string gas establishing the absence of the Hagedorn phase transition. We show that the 10D heterotic strings share a stable finite temperature ground state with gauge group SO(16)xSO(16). The free energy at the self-dual Kosterlitz-Thouless phase transition is minimized with finite entropy and positive specific heat. The open and closed string gas transitions to a confining long string phase at a temperature at or below the string scale in the presence of an external electric field.
|
0905.2326
|
Zvi Bern
|
Z. Bern, J. J. Carrasco, L. J. Dixon, H. Johansson, R. Roiban
|
The Ultraviolet Behavior of N=8 Supergravity at Four Loops
|
5 pages, 4 figures. v2 contains minor corrections, including flipping
sign of eq. (1). Complete results, including mathematica readable form,
presented in the directory aux/ included in the source of this manuscript. As
certain computer operating systems (e.g. Windows) preclude the naming of
directories "aux" we also host this data at:
http://www.physics.ucla.edu/~jjmc/auxiliaryData.tgz
|
Phys.Rev.Lett.103:081301,2009
|
10.1103/PhysRevLett.103.081301
|
SLAC-PUB-13608, UCLA/09/TEP/09/47
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We describe the construction of the complete four-loop four-particle
amplitude of N=8 supergravity. The amplitude is ultraviolet finite, not only in
four dimensions, but in five dimensions as well. The observed extra
cancellations provide additional non-trivial evidence that N=8 supergravity in
four dimensions may be ultraviolet finite to all orders of perturbation theory.
|
[
{
"created": "Thu, 14 May 2009 17:04:44 GMT",
"version": "v1"
},
{
"created": "Sun, 8 Jan 2012 13:27:40 GMT",
"version": "v2"
}
] |
2015-03-13
|
[
[
"Bern",
"Z.",
""
],
[
"Carrasco",
"J. J.",
""
],
[
"Dixon",
"L. J.",
""
],
[
"Johansson",
"H.",
""
],
[
"Roiban",
"R.",
""
]
] |
We describe the construction of the complete four-loop four-particle amplitude of N=8 supergravity. The amplitude is ultraviolet finite, not only in four dimensions, but in five dimensions as well. The observed extra cancellations provide additional non-trivial evidence that N=8 supergravity in four dimensions may be ultraviolet finite to all orders of perturbation theory.
|
2303.01247
|
Shan-Ming Ruan
|
Taishi Kawamoto, Shan-Ming Ruan, Tadashi Takayanagi
|
Gluing AdS/CFT
|
35 pages, 9 figures; v2: typos fixed, references added;
| null |
10.1007/JHEP07(2023)080
|
YITP-23-27
|
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
In this paper, we investigate gluing together two Anti-de Sitter (AdS)
geometries along a timelike brane, which corresponds to coupling two brane
field theories (BFTs) through gravitational interactions in the dual
holographic perspective. By exploring the general conditions for this gluing
process, we show that the energy stress tensors of the BFTs backreact on the
dynamical metric in a manner reminiscent of the TTbar deformation. In
particular, we present explicit solutions for the three-dimensional case with
chiral excitations and further construct perturbative solutions with non-chiral
excitations.
|
[
{
"created": "Thu, 2 Mar 2023 13:35:18 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Mar 2023 10:03:58 GMT",
"version": "v2"
}
] |
2023-07-26
|
[
[
"Kawamoto",
"Taishi",
""
],
[
"Ruan",
"Shan-Ming",
""
],
[
"Takayanagi",
"Tadashi",
""
]
] |
In this paper, we investigate gluing together two Anti-de Sitter (AdS) geometries along a timelike brane, which corresponds to coupling two brane field theories (BFTs) through gravitational interactions in the dual holographic perspective. By exploring the general conditions for this gluing process, we show that the energy stress tensors of the BFTs backreact on the dynamical metric in a manner reminiscent of the TTbar deformation. In particular, we present explicit solutions for the three-dimensional case with chiral excitations and further construct perturbative solutions with non-chiral excitations.
|
1412.8696
|
Evgeny Buchbinder
|
Evgeny I. Buchbinder, Andrei Constantin, Andre Lukas
|
A Heterotic QCD Axion
|
14 pages; v2: minor corrections, references added
|
Phys. Rev. D 91, 046010 (2015)
|
10.1103/PhysRevD.91.046010
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that a KSVZ axion with a decay constant in the phenomenologically
allowed range can be obtained in certain $E_8\times E_8$ heterotic string
models. These models have an enhanced symmetry locus in the moduli space, and a
non-universal, Kahler moduli dependent Fayet-Iliopoulos term which vanishes at
this locus. Close to this locus the Fayet-Iliopoulos term is small and can lead
to an axion decay constant significantly lower than the string scale. In this
way, the no-go arguments of Svrcek and Witten, which are based on a universal,
dilaton-dependent Fayet-Iliopoulos term, can be avoided. The relevant axion
originates from phases of bundle moduli which correspond to deformations away
from the enhanced symmetry locus. We construct an explicit example, based on a
heterotic line bundle standard model, with all the required ingredients.
|
[
{
"created": "Tue, 30 Dec 2014 17:23:57 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Feb 2015 08:27:04 GMT",
"version": "v2"
}
] |
2015-03-05
|
[
[
"Buchbinder",
"Evgeny I.",
""
],
[
"Constantin",
"Andrei",
""
],
[
"Lukas",
"Andre",
""
]
] |
We show that a KSVZ axion with a decay constant in the phenomenologically allowed range can be obtained in certain $E_8\times E_8$ heterotic string models. These models have an enhanced symmetry locus in the moduli space, and a non-universal, Kahler moduli dependent Fayet-Iliopoulos term which vanishes at this locus. Close to this locus the Fayet-Iliopoulos term is small and can lead to an axion decay constant significantly lower than the string scale. In this way, the no-go arguments of Svrcek and Witten, which are based on a universal, dilaton-dependent Fayet-Iliopoulos term, can be avoided. The relevant axion originates from phases of bundle moduli which correspond to deformations away from the enhanced symmetry locus. We construct an explicit example, based on a heterotic line bundle standard model, with all the required ingredients.
|
1607.07422
|
Georgi Dvali
|
Gia Dvali
|
Strong Coupling and Classicalization
|
24 pages, Latex. In part, based on lectures given at Erice summer
school "Future of Our Physics Including New Frontiers" and at LHC SKI 2016
conference
| null |
10.1142/9789813208292_0005
| null |
hep-th gr-qc hep-ex hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Classicalization is a phenomenon in which a theory prevents itself from
entering into a strong-coupling regime, by redistributing the energy among many
weakly-interacting soft quanta. In this way, the scattering process of some
initial hard quanta splits into a large number of soft elementary processes. In
short, the theory trades the strong coupling for a high-multiplicity of quanta.
At very high energies, the outcome of such a scattering experiment is a
production of soft states of high occupation number that are approximately
classical. It is evident that black hole creation in particle collision at
super-Planckian energies is a result of classicalization, but there is no a
priory reason why this phenomenon must be limited to gravity. If the hierarchy
problem is solved by classicalization, the LHC has a chance of detecting a
tower of new resonances. The lowest-lying resonances must appear right at the
strong coupling scale in form of short-lived elementary particles. The heavier
members of the tower must behave more and more classically: they must be longer
lived and decay into higher numbers of soft quanta.
|
[
{
"created": "Mon, 25 Jul 2016 19:39:25 GMT",
"version": "v1"
}
] |
2017-05-24
|
[
[
"Dvali",
"Gia",
""
]
] |
Classicalization is a phenomenon in which a theory prevents itself from entering into a strong-coupling regime, by redistributing the energy among many weakly-interacting soft quanta. In this way, the scattering process of some initial hard quanta splits into a large number of soft elementary processes. In short, the theory trades the strong coupling for a high-multiplicity of quanta. At very high energies, the outcome of such a scattering experiment is a production of soft states of high occupation number that are approximately classical. It is evident that black hole creation in particle collision at super-Planckian energies is a result of classicalization, but there is no a priory reason why this phenomenon must be limited to gravity. If the hierarchy problem is solved by classicalization, the LHC has a chance of detecting a tower of new resonances. The lowest-lying resonances must appear right at the strong coupling scale in form of short-lived elementary particles. The heavier members of the tower must behave more and more classically: they must be longer lived and decay into higher numbers of soft quanta.
|
1207.0224
|
Volodymyr Gorkavenko
|
V.M. Gorkavenko, Yu.A. Sitenko, O.B. Stepanov
|
Casimir force induced on a plane by an impenetrable flux tube of finite
radius
|
12 pages, 7 figures, some explanations and references added. arXiv
admin note: text overlap with arXiv:1109.3068
|
Ukr. J. Phys., Vol.58, No.5 (2013) 424-431
| null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A perfectly reflecting (Dirichlet) boundary condition at the edge of an
impenetrable magnetic-flux-carrying tube of nonzero transverse size is imposed
on the charged massive scalar matter field which is quantized outside the tube
on a plane which is transverse to the tube. We show that the vacuum
polarization effects outside the tube give rise to a macroscopic force acting
at the increase of the tube radius (if the magnetic flux is held steady).
|
[
{
"created": "Sun, 1 Jul 2012 16:11:48 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Jan 2013 12:41:11 GMT",
"version": "v2"
}
] |
2013-12-17
|
[
[
"Gorkavenko",
"V. M.",
""
],
[
"Sitenko",
"Yu. A.",
""
],
[
"Stepanov",
"O. B.",
""
]
] |
A perfectly reflecting (Dirichlet) boundary condition at the edge of an impenetrable magnetic-flux-carrying tube of nonzero transverse size is imposed on the charged massive scalar matter field which is quantized outside the tube on a plane which is transverse to the tube. We show that the vacuum polarization effects outside the tube give rise to a macroscopic force acting at the increase of the tube radius (if the magnetic flux is held steady).
|
1411.0452
|
Junjie Rao
|
Bo Feng, Kang Zhou, Chenkai Qiao, Junjie Rao
|
Determination of Boundary Contributions in Recursion Relation
|
20 pages, 1 appendix
|
JHEP 1503 (2015) 023
|
10.1007/JHEP03(2015)023
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we propose a new algorithm to systematically determine the
missing boundary contributions, when one uses the BCFW on-shell recursion
relation to calculate tree amplitudes for general quantum field theories. After
an instruction of the algorithm, we will use several examples to demonstrate
its application, including amplitudes of color-ordered phi-4 theory, Yang-Mills
theory, Einstein-Maxwell theory and color-ordered Yukawa theory with phi-4
interaction.
|
[
{
"created": "Mon, 3 Nov 2014 12:24:13 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Nov 2014 12:00:08 GMT",
"version": "v2"
},
{
"created": "Mon, 2 Mar 2015 12:05:21 GMT",
"version": "v3"
},
{
"created": "Tue, 5 May 2015 11:37:10 GMT",
"version": "v4"
}
] |
2015-05-06
|
[
[
"Feng",
"Bo",
""
],
[
"Zhou",
"Kang",
""
],
[
"Qiao",
"Chenkai",
""
],
[
"Rao",
"Junjie",
""
]
] |
In this paper, we propose a new algorithm to systematically determine the missing boundary contributions, when one uses the BCFW on-shell recursion relation to calculate tree amplitudes for general quantum field theories. After an instruction of the algorithm, we will use several examples to demonstrate its application, including amplitudes of color-ordered phi-4 theory, Yang-Mills theory, Einstein-Maxwell theory and color-ordered Yukawa theory with phi-4 interaction.
|
hep-th/9306142
|
Alexander V. Razumov
|
A. N. Leznov and A. V. Razumov
|
The Canonical Symmetry and Hamiltonian Formalism. II. Hamiltonian
Operators
|
13 pages, LaTeX file, IHEP 93-69
| null | null | null |
hep-th
| null |
It is shown how the canonical symmetry is used to look for the hierarchy of
the Hamiltonian operators relevant to the system under consideration. It
appears that only the invariance condition can be used to solve the problem.
|
[
{
"created": "Sun, 27 Jun 1993 08:19:43 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Leznov",
"A. N.",
""
],
[
"Razumov",
"A. V.",
""
]
] |
It is shown how the canonical symmetry is used to look for the hierarchy of the Hamiltonian operators relevant to the system under consideration. It appears that only the invariance condition can be used to solve the problem.
|
hep-th/0501237
|
J. W. van Holten
|
P.D. Jarvis and J.W. van Holten
|
Conformal Fluid Dynamics
|
17 pages, no figures
|
Nucl.Phys.B734:272-286,2006
|
10.1016/j.nuclphysb.2005.11.021
|
Nordita-2005-8
|
hep-th
| null |
We present a conformal theory of a dissipationless relativistic fluid in 2
space-time dimensions. The theory carries with it a representation of the
algebra of 2-$D$ area-preserving diffeomorphisms in the target space of the
complex scalar potentials. A complete canonical description is given, and the
central charge of the current algebra is calculated. The passage to the quantum
theory is discussed in some detail; as a result of operator ordering problems,
full quantization at the level of the fields is as yet an open problem.
|
[
{
"created": "Fri, 28 Jan 2005 21:14:34 GMT",
"version": "v1"
}
] |
2009-11-05
|
[
[
"Jarvis",
"P. D.",
""
],
[
"van Holten",
"J. W.",
""
]
] |
We present a conformal theory of a dissipationless relativistic fluid in 2 space-time dimensions. The theory carries with it a representation of the algebra of 2-$D$ area-preserving diffeomorphisms in the target space of the complex scalar potentials. A complete canonical description is given, and the central charge of the current algebra is calculated. The passage to the quantum theory is discussed in some detail; as a result of operator ordering problems, full quantization at the level of the fields is as yet an open problem.
|
1007.2026
|
Chao-Jun Feng
|
Chao-Jun Feng, Xin-Zhou Li
|
Quantum Spring from the Casimir Effect
|
6 pages, 7 figures, published in PLB
|
Phys.Lett.B691:167-172,2010
|
10.1016/j.physletb.2010.06.030
| null |
hep-th hep-ph quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Casimir effect arises not only in the presence of material boundaries but
also in space with nontrivial topology. In this paper, we choose a topology of
the flat $(D+1)$-dimensional spacetime, which causes the helix boundary
condition for a Hermitian massless scalar field. Especially, Casimir effect for
a massless scalar field on the helix boundary condition is investigated in two
and three dimensions by using the zeta function techniques. The Casimir force
parallel to the axis of the helix behaves very much like the force on a spring
that obeys the Hooke's law when the ratio $r$ of the pitch to the circumference
of the helix is small, but in this case, the force comes from a quantum effect,
so we would like to call it \textit{quantum spring}. When $r$ is large, this
force behaves like the Newton's law of universal gravitation in the leading
order. On the other hand, the force perpendicular to the axis decreases
monotonously with the increasing of the ratio $r$. Both forces are attractive
and their behaviors are the same in two and three dimensions.
|
[
{
"created": "Tue, 13 Jul 2010 02:57:51 GMT",
"version": "v1"
}
] |
2010-12-13
|
[
[
"Feng",
"Chao-Jun",
""
],
[
"Li",
"Xin-Zhou",
""
]
] |
The Casimir effect arises not only in the presence of material boundaries but also in space with nontrivial topology. In this paper, we choose a topology of the flat $(D+1)$-dimensional spacetime, which causes the helix boundary condition for a Hermitian massless scalar field. Especially, Casimir effect for a massless scalar field on the helix boundary condition is investigated in two and three dimensions by using the zeta function techniques. The Casimir force parallel to the axis of the helix behaves very much like the force on a spring that obeys the Hooke's law when the ratio $r$ of the pitch to the circumference of the helix is small, but in this case, the force comes from a quantum effect, so we would like to call it \textit{quantum spring}. When $r$ is large, this force behaves like the Newton's law of universal gravitation in the leading order. On the other hand, the force perpendicular to the axis decreases monotonously with the increasing of the ratio $r$. Both forces are attractive and their behaviors are the same in two and three dimensions.
|
0710.2218
|
Shin Sasaki
|
Shin Sasaki, Katsushi Ito, Hiroaki Nakajima
|
Instantons in Deformed Super Yang-Mills Theories
|
Submitted for the SUSY07 proceedings, 4 pages, no figure, a reference
added, typos corrected
| null | null | null |
hep-th
| null |
We study the instanton effective action in deformed four-dimensional N=2 and
N=4 super Yang-Mills (SYM) theories. These deformed gauge theories are defined
on the D-brane world-volume in the presence of constant, self-dual
Ramond-Ramond (R-R) 3-form field strength background $\mathcal{F}$ which is
scaled as $(2 \pi \alpha')^{1/2} \mathcal{F} = fixed$ in the zero-slope limit
$\alpha' \to 0$. The instanton effective action is obtained by solving
equations of motion of the deformed N=2 SYM action. We show that this effective
action correctly reproduces the string theory result derived from
D3/D(-1)-branes system in the lowest order of the backgrounds and gauge
coupling constant.
|
[
{
"created": "Thu, 11 Oct 2007 16:27:49 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Oct 2007 16:26:41 GMT",
"version": "v2"
},
{
"created": "Sun, 21 Oct 2007 14:18:39 GMT",
"version": "v3"
}
] |
2007-10-21
|
[
[
"Sasaki",
"Shin",
""
],
[
"Ito",
"Katsushi",
""
],
[
"Nakajima",
"Hiroaki",
""
]
] |
We study the instanton effective action in deformed four-dimensional N=2 and N=4 super Yang-Mills (SYM) theories. These deformed gauge theories are defined on the D-brane world-volume in the presence of constant, self-dual Ramond-Ramond (R-R) 3-form field strength background $\mathcal{F}$ which is scaled as $(2 \pi \alpha')^{1/2} \mathcal{F} = fixed$ in the zero-slope limit $\alpha' \to 0$. The instanton effective action is obtained by solving equations of motion of the deformed N=2 SYM action. We show that this effective action correctly reproduces the string theory result derived from D3/D(-1)-branes system in the lowest order of the backgrounds and gauge coupling constant.
|
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