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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1609.03679
|
Daniel J. H. Chung
|
Daniel J. H. Chung and Ran Lu
|
Basis Tensor Gauge Theory
|
25 pages
|
Phys. Rev. D 94, 105016 (2016)
|
10.1103/PhysRevD.94.105016
| null |
hep-th gr-qc hep-ph math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We reformulate gauge theories in analogy with the vierbein formalism of
general relativity. More specifically, we reformulate gauge theories such that
their gauge dynamical degrees of freedom are local fields that transform
linearly under the dual representation of the charged matter field. These local
fields, which naively have the interpretation of non-local operators similar to
Wilson lines, satisfy constraint equations. A set of basis tensor fields are
used to solve these constraint equations, and their field theory is
constructed. A new local symmetry in terms of the basis tensor fields is used
to make this field theory local and maintain a Hamiltonian that is bounded from
below. The field theory of the basis tensor fields is what we call the basis
tensor gauge theory.
|
[
{
"created": "Tue, 13 Sep 2016 05:08:50 GMT",
"version": "v1"
}
] |
2016-11-23
|
[
[
"Chung",
"Daniel J. H.",
""
],
[
"Lu",
"Ran",
""
]
] |
We reformulate gauge theories in analogy with the vierbein formalism of general relativity. More specifically, we reformulate gauge theories such that their gauge dynamical degrees of freedom are local fields that transform linearly under the dual representation of the charged matter field. These local fields, which naively have the interpretation of non-local operators similar to Wilson lines, satisfy constraint equations. A set of basis tensor fields are used to solve these constraint equations, and their field theory is constructed. A new local symmetry in terms of the basis tensor fields is used to make this field theory local and maintain a Hamiltonian that is bounded from below. The field theory of the basis tensor fields is what we call the basis tensor gauge theory.
| 11.017531
| 10.796693
| 10.405991
| 10.06724
| 10.413069
| 11.301882
| 10.894657
| 11.057557
| 10.420106
| 12.057137
| 10.495889
| 10.285187
| 10.340837
| 10.399374
| 10.454333
| 10.485373
| 10.568885
| 10.798718
| 10.429793
| 10.475811
| 10.689365
|
hep-th/0105262
|
Toru Shinohara
|
T. Shinohara (Chiba Univ.)
|
Renormalizable Abelian-projected effective gauge theory derived from
Quantum Chromodynamics II
|
11 pages, 3 figures
|
Mod.Phys.Lett. A18 (2003) 1403-1412
|
10.1142/S0217732303011198
|
CHIBA-EP-127
|
hep-th
| null |
In the previous paper\cite{KS00b}, we derived the Abelian projected effective
gauge theory as a low energy effective theory of the SU(N) Yang-Mills theory by
adopting the maximal Abelian gauge. At that time, we have demonstrated the
multiplicative renormalizability of the propagators for the diagonal gluon and
the dual Abelian anti-symmetric tensor field. In this paper, we show the
multiplicative renormalizability of the Green's functions also for the
off-diagonal gluon. Moreover we complement the previous results by calculating
the anomalous dimension and the renormalization group functions which are
undetermined in the previous paper.
|
[
{
"created": "Sat, 26 May 2001 07:31:35 GMT",
"version": "v1"
},
{
"created": "Sat, 27 Sep 2003 09:14:33 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Shinohara",
"T.",
"",
"Chiba Univ."
]
] |
In the previous paper\cite{KS00b}, we derived the Abelian projected effective gauge theory as a low energy effective theory of the SU(N) Yang-Mills theory by adopting the maximal Abelian gauge. At that time, we have demonstrated the multiplicative renormalizability of the propagators for the diagonal gluon and the dual Abelian anti-symmetric tensor field. In this paper, we show the multiplicative renormalizability of the Green's functions also for the off-diagonal gluon. Moreover we complement the previous results by calculating the anomalous dimension and the renormalization group functions which are undetermined in the previous paper.
| 6.780708
| 6.247414
| 7.147996
| 5.901147
| 6.055267
| 6.494906
| 5.958578
| 5.697536
| 6.032094
| 6.752506
| 5.953779
| 5.920259
| 6.375669
| 6.22782
| 6.150763
| 6.085552
| 6.038489
| 6.120345
| 6.245147
| 6.445776
| 6.021952
|
hep-th/0408044
|
Sebastien Gurrieri
|
Sebastien Gurrieri
|
N=2 and N=4 supergravities as compactifications from string theories in
10 dimensions
|
PhD thesis, 111 pages
| null | null | null |
hep-th
| null |
We first review standard results of the compactification of type IIA and IIB
supergravities on a Calabi-Yau threefold and illustrate mirror symmetry. Then
we compactify the same theories on a class of generalized Calabi-Yau manifolds
called Half-flat. We obtain the scalar potential, and we show that type IIA on
a Half-flat manifold is mirror symmetric to type IIB on a Calabi-Yau threefold
with electric NS-fluxes turned on. In the last part, we compute the full
equations of motion for N=4 supergravity in central charge superspace with the
graviphotons identified as central charge components of the vielbein. We show
the equivalence with the formulation in components.
|
[
{
"created": "Thu, 5 Aug 2004 06:49:47 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Gurrieri",
"Sebastien",
""
]
] |
We first review standard results of the compactification of type IIA and IIB supergravities on a Calabi-Yau threefold and illustrate mirror symmetry. Then we compactify the same theories on a class of generalized Calabi-Yau manifolds called Half-flat. We obtain the scalar potential, and we show that type IIA on a Half-flat manifold is mirror symmetric to type IIB on a Calabi-Yau threefold with electric NS-fluxes turned on. In the last part, we compute the full equations of motion for N=4 supergravity in central charge superspace with the graviphotons identified as central charge components of the vielbein. We show the equivalence with the formulation in components.
| 9.036051
| 7.761842
| 9.273654
| 7.962988
| 7.970818
| 7.792696
| 8.013683
| 7.764333
| 8.034636
| 11.509036
| 7.63807
| 8.239692
| 8.692475
| 8.329176
| 8.06207
| 7.891098
| 7.991056
| 8.043894
| 8.020866
| 8.639876
| 8.066643
|
1510.04084
|
Mokhtar Hassaine
|
Moises Bravo-Gaete, Sebastian Gomez and Mokhtar Hassaine
|
Cardy formula for charged black holes with anisotropic scaling
|
10 pages
| null |
10.1103/PhysRevD.92.124002
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We first observe that for Lifshitz black holes whose only charge is the mass,
the resulting Smarr relation is a direct consequence of the Lifshitz Cardy
formula. From this observation, we propose to extend the Cardy formula to the
case of electrically charged Lifshitz black holes satisfying as well a Smarr
relation. The expression of our formula depends on the dynamical exponent, the
energy and the charge of the ground state which is played by a magnetically
charged soliton obtained through a double Wick rotation. The expression also
involves a factor multiplying the chemical potentials which varies in function
of the electromagnetic theory considered. This factor is precisely the one that
appears in the Smarr formula for charged Lifshitz black holes. We test the
validity of this Cardy formula in different situations where electrically
Lifshitz charged black holes satisfying a Smarr relation are known. We then
extend these results to electrically charged black holes with hyperscaling
violation. Finally, an example in the charged AdS case is also provided.
|
[
{
"created": "Wed, 14 Oct 2015 13:28:53 GMT",
"version": "v1"
}
] |
2016-01-20
|
[
[
"Bravo-Gaete",
"Moises",
""
],
[
"Gomez",
"Sebastian",
""
],
[
"Hassaine",
"Mokhtar",
""
]
] |
We first observe that for Lifshitz black holes whose only charge is the mass, the resulting Smarr relation is a direct consequence of the Lifshitz Cardy formula. From this observation, we propose to extend the Cardy formula to the case of electrically charged Lifshitz black holes satisfying as well a Smarr relation. The expression of our formula depends on the dynamical exponent, the energy and the charge of the ground state which is played by a magnetically charged soliton obtained through a double Wick rotation. The expression also involves a factor multiplying the chemical potentials which varies in function of the electromagnetic theory considered. This factor is precisely the one that appears in the Smarr formula for charged Lifshitz black holes. We test the validity of this Cardy formula in different situations where electrically Lifshitz charged black holes satisfying a Smarr relation are known. We then extend these results to electrically charged black holes with hyperscaling violation. Finally, an example in the charged AdS case is also provided.
| 8.685615
| 8.526018
| 8.515143
| 8.176873
| 8.224615
| 8.264876
| 8.656181
| 8.53304
| 8.341351
| 9.491238
| 8.212102
| 8.201522
| 8.442062
| 7.959816
| 7.855665
| 8.147369
| 8.179901
| 8.29667
| 8.179177
| 8.834971
| 8.267083
|
2403.04684
|
Aram Saharian
|
A. A. Saharian, R. M. Avagyan, G. H. Harutyunyan, G. H. Nikoghosyan
|
Fermionic vacuum stresses in models with toroidal compact dimensions
|
12 pages, 5 figures
|
Astrophysics 67 (2024) 231
|
10.1007/s10511-024-09830-5
| null |
hep-th gr-qc quant-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We investigate vacuum expectation value of the energy-momentum tensor for a
massive Dirac field in flat spacetime with a toroidal subspace of a general
dimension. Quasiperiodicity conditions with arbitrary phases are imposed on the
field operator along compact dimensions. These phases are interpreted in terms
of magnetic fluxes enclosed by compact dimensions. The equation of state in the
uncompact subspace is of the cosmological constant type. It is shown that, in
addition to the diagonal components, the vacuum energy-momentum tensor has
nonzero off-diagonal components. In special cases of twisted (antiperiodic) and
untwisted (periodic) fields the off diagonal components vanish. For untwisted
fields the vacuum energy density is positive and the energy-momentum tensor
obeys the strong energy condition. For general values of the phases in the
periodicity conditions the energy density and stresses can be either positive
or negative. The numerical results are given for a Kaluza-Klein type model with
two extra dimensions.
|
[
{
"created": "Thu, 7 Mar 2024 17:29:31 GMT",
"version": "v1"
}
] |
2024-08-09
|
[
[
"Saharian",
"A. A.",
""
],
[
"Avagyan",
"R. M.",
""
],
[
"Harutyunyan",
"G. H.",
""
],
[
"Nikoghosyan",
"G. H.",
""
]
] |
We investigate vacuum expectation value of the energy-momentum tensor for a massive Dirac field in flat spacetime with a toroidal subspace of a general dimension. Quasiperiodicity conditions with arbitrary phases are imposed on the field operator along compact dimensions. These phases are interpreted in terms of magnetic fluxes enclosed by compact dimensions. The equation of state in the uncompact subspace is of the cosmological constant type. It is shown that, in addition to the diagonal components, the vacuum energy-momentum tensor has nonzero off-diagonal components. In special cases of twisted (antiperiodic) and untwisted (periodic) fields the off diagonal components vanish. For untwisted fields the vacuum energy density is positive and the energy-momentum tensor obeys the strong energy condition. For general values of the phases in the periodicity conditions the energy density and stresses can be either positive or negative. The numerical results are given for a Kaluza-Klein type model with two extra dimensions.
| 6.359652
| 4.981614
| 6.426848
| 4.896666
| 5.268721
| 4.853665
| 4.841147
| 4.347732
| 4.932619
| 7.057788
| 4.895782
| 5.36514
| 6.332355
| 5.930895
| 5.774004
| 5.535079
| 5.506565
| 5.638106
| 5.833827
| 6.407834
| 5.750383
|
1001.3982
|
Diederik Roest
|
Giuseppe Dibitetto, Roman Linares, Diederik Roest
|
Flux Compactifications, Gauge Algebras and De Sitter
|
8 pages. v2: footnote and refs added, published version
|
Phys.Lett.B688:96-100,2010
|
10.1016/j.physletb.2010.03.074
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The introduction of (non-)geometric fluxes allows for N=1 moduli
stabilisation in a De Sitter vacuum. The aim of this letter is to assess to
what extent this is true in N=4 compactifications. First we identify the
correct gauge algebra in terms of gauge and (non-)geometric fluxes. We then
show that this algebra does not lead to any of the known gaugings with De
Sitter solutions. In particular, the gaugings that one obtains from flux
compactifications involve non-semi-simple algebras, while the known gaugings
with De Sitter solutions consist of direct products of (semi-)simple algebras.
|
[
{
"created": "Fri, 22 Jan 2010 13:08:53 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Apr 2010 10:27:21 GMT",
"version": "v2"
}
] |
2014-11-20
|
[
[
"Dibitetto",
"Giuseppe",
""
],
[
"Linares",
"Roman",
""
],
[
"Roest",
"Diederik",
""
]
] |
The introduction of (non-)geometric fluxes allows for N=1 moduli stabilisation in a De Sitter vacuum. The aim of this letter is to assess to what extent this is true in N=4 compactifications. First we identify the correct gauge algebra in terms of gauge and (non-)geometric fluxes. We then show that this algebra does not lead to any of the known gaugings with De Sitter solutions. In particular, the gaugings that one obtains from flux compactifications involve non-semi-simple algebras, while the known gaugings with De Sitter solutions consist of direct products of (semi-)simple algebras.
| 8.55254
| 7.83486
| 7.986395
| 6.840869
| 7.713122
| 7.968629
| 6.938733
| 7.5865
| 7.362179
| 8.359241
| 7.98216
| 7.627232
| 7.847675
| 7.367514
| 7.584523
| 7.643218
| 7.70975
| 7.655693
| 7.522352
| 7.998962
| 7.649386
|
hep-th/9812096
|
Victor O. Rivelles
|
S. Cassemiro F. F. and Victor O. Rivelles
|
Canonical and Functional Schrodinger Quantization of Two--Dimensional
Dilaton Gravity
|
12 pages, revtex Minor corrections
|
Phys.Lett. B452 (1999) 234-239
|
10.1016/S0370-2693(99)00233-6
| null |
hep-th gr-qc
| null |
We discuss the relation between canonical and Schrodinger quantization of the
CGHS model. We also discuss the situation when background charges are added to
cancel the Virasoro anomaly. New physical states are found when the square of
the background charges vanishes.
|
[
{
"created": "Fri, 11 Dec 1998 15:34:50 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Feb 1999 14:47:29 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"F.",
"S. Cassemiro F.",
""
],
[
"Rivelles",
"Victor O.",
""
]
] |
We discuss the relation between canonical and Schrodinger quantization of the CGHS model. We also discuss the situation when background charges are added to cancel the Virasoro anomaly. New physical states are found when the square of the background charges vanishes.
| 15.959445
| 12.797302
| 12.815362
| 11.716341
| 12.292653
| 12.48159
| 12.191182
| 12.657426
| 12.435936
| 13.906707
| 11.912408
| 13.204322
| 13.108998
| 12.312965
| 12.848782
| 13.076475
| 12.570811
| 13.14762
| 12.402597
| 13.380904
| 12.211053
|
hep-th/9903109
|
Konstadinos Sfetsos
|
A. Kehagias and K. Sfetsos
|
On Asymptotic Freedom and Confinement from Type-IIB Supergravity
|
9 pages, latex, 1 figure v2: minor aesthetic changes v3: some scale
factors corrected, version to appear in PLB
|
Phys.Lett. B456 (1999) 22-27
|
10.1016/S0370-2693(99)00431-1
|
CERN-TH/99-63
|
hep-th
| null |
We present a new type-IIB supergravity vacuum that describes the strong
coupling regime of a non-supersymmetric gauge theory. The latter has a running
coupling such that the theory becomes asymptotically free in the ultraviolet.
It also has a running theta angle due to a non-vanishing axion field in the
supergravity solution. We also present a worm-hole solution, which has finite
action per unit four-dimensional volume and two asymptotic regions, a flat
space and an AdS^5\times S^5. The corresponding N=2 gauge theory, instead of
being finite, has a running coupling. We compute the quark-antiquark potential
in this case and find that it exhibits, under certain assumptions, an area-law
behaviour for large separations.
|
[
{
"created": "Fri, 12 Mar 1999 00:15:08 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Apr 1999 10:42:30 GMT",
"version": "v2"
},
{
"created": "Fri, 23 Apr 1999 09:41:41 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Kehagias",
"A.",
""
],
[
"Sfetsos",
"K.",
""
]
] |
We present a new type-IIB supergravity vacuum that describes the strong coupling regime of a non-supersymmetric gauge theory. The latter has a running coupling such that the theory becomes asymptotically free in the ultraviolet. It also has a running theta angle due to a non-vanishing axion field in the supergravity solution. We also present a worm-hole solution, which has finite action per unit four-dimensional volume and two asymptotic regions, a flat space and an AdS^5\times S^5. The corresponding N=2 gauge theory, instead of being finite, has a running coupling. We compute the quark-antiquark potential in this case and find that it exhibits, under certain assumptions, an area-law behaviour for large separations.
| 8.246155
| 7.809687
| 9.641958
| 8.161395
| 8.151333
| 8.310681
| 8.524618
| 8.010188
| 7.758284
| 9.618659
| 7.48069
| 7.629911
| 9.078277
| 8.293349
| 7.840001
| 8.032721
| 7.966657
| 7.823854
| 8.305717
| 8.978292
| 7.94244
|
hep-th/0207018
|
A. D. Alhaidari
|
A. D. Alhaidari
|
Mapping of relativistic Green's functions under extended point canonical
transformations
|
The work in this note was motivated by a problem posed by
Eric-Olivier Le Bigot
| null | null | null |
hep-th
| null |
Given a relativistic two-point Green's function for a spinor system with
spherical symmetry we show how to obtain another in the same class by extended
point canonical transformations (XPCT).
|
[
{
"created": "Mon, 1 Jul 2002 21:24:43 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Alhaidari",
"A. D.",
""
]
] |
Given a relativistic two-point Green's function for a spinor system with spherical symmetry we show how to obtain another in the same class by extended point canonical transformations (XPCT).
| 33.165009
| 27.835018
| 28.856417
| 26.020115
| 32.487099
| 38.491394
| 39.3269
| 33.818447
| 30.26091
| 33.033985
| 27.389193
| 27.849232
| 26.378786
| 28.074074
| 27.576952
| 26.745604
| 28.465502
| 28.08868
| 26.954214
| 30.401354
| 27.022503
|
1806.10195
|
Alexander Peach
|
Alexander Peach
|
Emergent Dark Gravity from (Non)Holographic Screens
|
16 pages, 2 figures
| null |
10.1007/JHEP02(2019)151
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work, a clear connection is made between E. Verlinde's recent theory
of emergent gravity in de Sitter space and the earlier work that described
emergent gravity using holographic screens. A modified (non)holographic screen
scenario is presented, wherein the screen fails to encode an emergent mass in
the bulk "unemerged" part of space for sufficiently large length-scales, where
the volume-law of the non-holographic bulk degrees of freedom overtakes the
area-law scaling of the entropy of the screen. Within this framework, we can
describe both an emergent dark gravitational force, which scales like
$\frac{1}{r}$, and also a version of the baryonic Tully-Fisher relation. We
therefore recast these results within an emergent gravity framework in which
there is an explicit violation of holography for sufficiently large
length-scales.
|
[
{
"created": "Tue, 26 Jun 2018 20:06:08 GMT",
"version": "v1"
}
] |
2019-03-27
|
[
[
"Peach",
"Alexander",
""
]
] |
In this work, a clear connection is made between E. Verlinde's recent theory of emergent gravity in de Sitter space and the earlier work that described emergent gravity using holographic screens. A modified (non)holographic screen scenario is presented, wherein the screen fails to encode an emergent mass in the bulk "unemerged" part of space for sufficiently large length-scales, where the volume-law of the non-holographic bulk degrees of freedom overtakes the area-law scaling of the entropy of the screen. Within this framework, we can describe both an emergent dark gravitational force, which scales like $\frac{1}{r}$, and also a version of the baryonic Tully-Fisher relation. We therefore recast these results within an emergent gravity framework in which there is an explicit violation of holography for sufficiently large length-scales.
| 12.145674
| 12.40439
| 12.035544
| 11.567451
| 11.591812
| 11.87365
| 12.457231
| 11.223794
| 12.032606
| 12.13353
| 11.976995
| 10.935377
| 11.201141
| 10.760872
| 10.962721
| 10.922176
| 11.050154
| 11.147656
| 11.251205
| 11.282532
| 11.14606
|
1312.1588
|
Alexander Krikun
|
A. Krikun
|
Charge density wave instability in holographic d-wave superconductor
|
jheppub, 17 pages, 4 figures. v2: temperature normalization fixed,
v3: the journal version, discussion of P-symmetry improved
| null |
10.1007/JHEP04(2014)135
|
NORDITA-2013-98
|
hep-th cond-mat.supr-con
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We report the observation of the spatially modulated static mode in the
spectrum of fluctuations around the condensed phase of the holographic d-wave
superconductor. The mode involves the time component of the gauge field that is
related to the charge density wave in the dual superconductor. No additional
ingredients are added to the action of five dimensional theory. We speculate on
the relevance of the observed mode to the formation of the pseudogap state.
|
[
{
"created": "Thu, 5 Dec 2013 15:50:04 GMT",
"version": "v1"
},
{
"created": "Sat, 28 Dec 2013 17:20:30 GMT",
"version": "v2"
},
{
"created": "Sun, 21 Sep 2014 14:56:59 GMT",
"version": "v3"
}
] |
2015-06-18
|
[
[
"Krikun",
"A.",
""
]
] |
We report the observation of the spatially modulated static mode in the spectrum of fluctuations around the condensed phase of the holographic d-wave superconductor. The mode involves the time component of the gauge field that is related to the charge density wave in the dual superconductor. No additional ingredients are added to the action of five dimensional theory. We speculate on the relevance of the observed mode to the formation of the pseudogap state.
| 12.19106
| 9.122396
| 10.966002
| 9.774846
| 10.217653
| 9.618957
| 10.765553
| 10.127744
| 9.064858
| 10.763756
| 9.267173
| 10.247149
| 10.911104
| 10.165051
| 10.023794
| 9.857001
| 10.046439
| 9.722591
| 10.220204
| 11.162511
| 9.834619
|
2210.10510
|
Carlos Mafra
|
Nathan Berkovits and Carlos R. Mafra
|
Pure spinor formulation of the superstring and its applications
|
42 pp, Overview written for the "Handbook of Quantum Gravity", eds.
C. Bambi, L. Modesto and I. Shapiro. v2: references and acknowledgements
added, typos removed
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The pure spinor formalism for the superstring has the advantage over the more
conventional Ramond-Neveu-Schwarz formalism of being manifestly spacetime
supersymmetric, which simplifies the computation of multiparticle and multiloop
amplitudes and allows the description of Ramond-Ramond backgrounds. In addition
to the worldsheet variables of the Green-Schwarz-Siegel action, the pure spinor
formalism includes bosonic ghost variables which are constrained spacetime
spinors and are needed for covariant quantization using a nilpotent BRST
operator.
In this review, several applications of the formalism are described including
the explicit computation in D=10 superspace of the general disk amplitude with
an arbitrary number of external massless states, genus one amplitudes with up
to seven external states, genus two amplitudes with up to five external states,
and the low-energy limit of the genus three amplitude with up to four external
states. The pure spinor formalism has also been used to covariantly quantize
the superstring in an $AdS_5\times S^5$ background and might be useful for
proving the AdS-CFT correspondence in the limit of small AdS radius.
This is an overview written for the "Handbook of Quantum Gravity", eds. C.
Bambi, L. Modesto and I. Shapiro.
|
[
{
"created": "Wed, 19 Oct 2022 12:31:22 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Oct 2022 16:29:03 GMT",
"version": "v2"
}
] |
2022-10-28
|
[
[
"Berkovits",
"Nathan",
""
],
[
"Mafra",
"Carlos R.",
""
]
] |
The pure spinor formalism for the superstring has the advantage over the more conventional Ramond-Neveu-Schwarz formalism of being manifestly spacetime supersymmetric, which simplifies the computation of multiparticle and multiloop amplitudes and allows the description of Ramond-Ramond backgrounds. In addition to the worldsheet variables of the Green-Schwarz-Siegel action, the pure spinor formalism includes bosonic ghost variables which are constrained spacetime spinors and are needed for covariant quantization using a nilpotent BRST operator. In this review, several applications of the formalism are described including the explicit computation in D=10 superspace of the general disk amplitude with an arbitrary number of external massless states, genus one amplitudes with up to seven external states, genus two amplitudes with up to five external states, and the low-energy limit of the genus three amplitude with up to four external states. The pure spinor formalism has also been used to covariantly quantize the superstring in an $AdS_5\times S^5$ background and might be useful for proving the AdS-CFT correspondence in the limit of small AdS radius. This is an overview written for the "Handbook of Quantum Gravity", eds. C. Bambi, L. Modesto and I. Shapiro.
| 5.392606
| 4.548616
| 6.301857
| 5.138107
| 5.041279
| 5.081911
| 4.845767
| 5.062312
| 5.159281
| 6.415179
| 4.718983
| 5.067509
| 5.643605
| 5.061061
| 5.085024
| 5.138371
| 5.031155
| 5.079795
| 5.078858
| 5.71706
| 5.129272
|
hep-th/9401034
|
Randjbar Daemi Seif
|
S. Randjbar-Daemi and J. Strathdee
|
Aspects of $\sigma$ Models
|
15 pages, Latex, IC/93/399 Contribution to the Salamfest, Trieste
8-12 March 1993
| null | null | null |
hep-th
| null |
Some aspects and applications of $ \sigma$-models in particle and condensed
matter physics are briefly reviewed.
|
[
{
"created": "Mon, 10 Jan 1994 16:56:48 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Randjbar-Daemi",
"S.",
""
],
[
"Strathdee",
"J.",
""
]
] |
Some aspects and applications of $ \sigma$-models in particle and condensed matter physics are briefly reviewed.
| 22.185696
| 11.439511
| 12.14817
| 11.731303
| 11.483696
| 10.459539
| 14.602071
| 12.250668
| 10.403195
| 11.638643
| 13.50427
| 11.593913
| 10.705999
| 11.339185
| 11.175608
| 10.904698
| 11.37868
| 11.443551
| 11.615663
| 10.647529
| 11.38203
|
1705.10631
|
Claudio Benedito Silva Furtado
|
G. Q. Garcia, J. R. de S. Oliveira, Claudio Furtado
|
Weyl fermions in a family of G\"{o}del-type geometries with a
topological defect
|
19 pages. Revised version accepted for publication in IJMPD
| null |
10.1142/S021827181850027X
| null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we study Weyl fermions in a family of G\"odel-type geometries
in Einstein general relativity. We also consider that these solutions are
embedded in a topological defect background. We solve the Weyl equation and
find the energy eigenvalues and eigenspinors for all three cases of
G\"odel-type geometries where a topological defect is passing through them. We
show that the presence of a topological in these geometries contributes to
modification of the spectrum of energy. The energy zero modes for all three
cases of the G\"odel geometries are discussed.
|
[
{
"created": "Mon, 29 May 2017 01:58:57 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Jun 2017 00:56:50 GMT",
"version": "v2"
},
{
"created": "Wed, 29 Nov 2017 13:10:11 GMT",
"version": "v3"
}
] |
2017-11-30
|
[
[
"Garcia",
"G. Q.",
""
],
[
"Oliveira",
"J. R. de S.",
""
],
[
"Furtado",
"Claudio",
""
]
] |
In this paper we study Weyl fermions in a family of G\"odel-type geometries in Einstein general relativity. We also consider that these solutions are embedded in a topological defect background. We solve the Weyl equation and find the energy eigenvalues and eigenspinors for all three cases of G\"odel-type geometries where a topological defect is passing through them. We show that the presence of a topological in these geometries contributes to modification of the spectrum of energy. The energy zero modes for all three cases of the G\"odel geometries are discussed.
| 9.756387
| 8.060464
| 7.647319
| 7.910153
| 8.605476
| 8.243786
| 8.805367
| 8.16023
| 8.29906
| 8.69991
| 8.799652
| 8.906195
| 8.320992
| 7.744179
| 8.427352
| 8.221804
| 8.58906
| 8.72285
| 8.6782
| 8.180759
| 8.66717
|
hep-th/0505228
|
Jorge Alfaro
|
Jorge Alfaro
|
Quantum Gravity induced Lorentz invariance violation in the Standard
Model:hadrons
|
latex, 16 pages
|
Phys.Rev. D72 (2005) 024027
|
10.1103/PhysRevD.72.024027
| null |
hep-th
| null |
The most important problem of fundamental Physics is the quantization of the
gravitational field. A main difficulty is the lack of available experimental
tests that discriminate among the theories proposed to quantize gravity.
Recently we showed that the Standard Model(SM) itself contains tiny Lorentz
invariance violation(LIV) terms coming from QG. All terms depend on one
arbitrary parameter $\alpha$ that set the scale of QG effects. In this paper we
obtain the LIV for mesons and nucleons and apply it to study several effects,
including the GZK anomaly.
|
[
{
"created": "Wed, 25 May 2005 12:12:23 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Alfaro",
"Jorge",
""
]
] |
The most important problem of fundamental Physics is the quantization of the gravitational field. A main difficulty is the lack of available experimental tests that discriminate among the theories proposed to quantize gravity. Recently we showed that the Standard Model(SM) itself contains tiny Lorentz invariance violation(LIV) terms coming from QG. All terms depend on one arbitrary parameter $\alpha$ that set the scale of QG effects. In this paper we obtain the LIV for mesons and nucleons and apply it to study several effects, including the GZK anomaly.
| 11.814039
| 7.968245
| 11.010758
| 9.16669
| 8.595774
| 7.776855
| 7.573014
| 9.126668
| 8.696507
| 11.201293
| 9.774412
| 10.265977
| 11.111569
| 10.609445
| 10.581122
| 10.409833
| 10.313381
| 10.598607
| 10.659369
| 10.523753
| 10.57906
|
1506.03090
|
Ben Heidenreich
|
I\~naki Garc\'ia-Etxebarria and Ben Heidenreich
|
Strongly coupled phases of $\mathcal{N}=1$ S-duality
|
66 pages, 34 figures
| null | null |
MPP-2015-122
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyze S-duality of orientifolds of the Calabi-Yau cone over the first
del Pezzo surface ($dP_1$). The S-duals of known phases, described by quiver
gauge theories, contain intrinsically strongly-coupled sectors. These sectors
are realized by a higher multiplicity intersection of NS5 branes and D5 branes
atop an O5 plane, and can be thought of as stuck at the infinite coupling point
between two Seiberg-dual gauge theories. We argue that such sectors appear
generically in orientifolds of non-orbifold singularities, where in many
examples every orientifold phase contains such a sector. Understanding such
sectors is therefore key to understanding orientifolds of Calabi-Yau
singularities. We construct the strongly-coupled sectors for $dP_1$
orientifolds using deconfinement, and show that they have interesting,
non-trivial properties. Using this construction, we verify the predictions of
S-duality for $dP_1$.
|
[
{
"created": "Tue, 9 Jun 2015 20:02:23 GMT",
"version": "v1"
}
] |
2015-06-11
|
[
[
"García-Etxebarria",
"Iñaki",
""
],
[
"Heidenreich",
"Ben",
""
]
] |
We analyze S-duality of orientifolds of the Calabi-Yau cone over the first del Pezzo surface ($dP_1$). The S-duals of known phases, described by quiver gauge theories, contain intrinsically strongly-coupled sectors. These sectors are realized by a higher multiplicity intersection of NS5 branes and D5 branes atop an O5 plane, and can be thought of as stuck at the infinite coupling point between two Seiberg-dual gauge theories. We argue that such sectors appear generically in orientifolds of non-orbifold singularities, where in many examples every orientifold phase contains such a sector. Understanding such sectors is therefore key to understanding orientifolds of Calabi-Yau singularities. We construct the strongly-coupled sectors for $dP_1$ orientifolds using deconfinement, and show that they have interesting, non-trivial properties. Using this construction, we verify the predictions of S-duality for $dP_1$.
| 8.094514
| 8.262965
| 9.174254
| 7.817899
| 7.729136
| 7.855905
| 8.177224
| 7.722482
| 7.825489
| 9.792282
| 7.567452
| 7.806295
| 8.082446
| 7.766092
| 7.842429
| 7.772832
| 7.669435
| 7.607128
| 7.94999
| 8.448375
| 7.899773
|
1312.1323
|
Saugata Chatterjee
|
Saugata Chatterjee and Maulik Parikh
|
The Second Law in 4D Einstein-Gauss-Bonnet Gravity
|
v2 is the final version as it appears in the journal
|
Class. Quant. Grav. 31, 155007 (2014)
|
10.1088/0264-9381/31/15/155007
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The topological contribution to black hole entropy of a Gauss-Bonnet term in
four dimensions opens up the possibility of a violation of the second law of
thermodynamics in black hole mergers. We show, however, that the second law is
not violated in the regime where Einstein-Gauss-Bonnet holds as an effective
theory and black holes can be treated thermodynamically. For mergers of AdS
black holes, the second law appears to be violated even in Einstein gravity; we
argue, however, that the second law holds when gravitational potential energy
is taken into account.
|
[
{
"created": "Wed, 4 Dec 2013 20:49:46 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Jan 2015 22:42:36 GMT",
"version": "v2"
}
] |
2015-01-23
|
[
[
"Chatterjee",
"Saugata",
""
],
[
"Parikh",
"Maulik",
""
]
] |
The topological contribution to black hole entropy of a Gauss-Bonnet term in four dimensions opens up the possibility of a violation of the second law of thermodynamics in black hole mergers. We show, however, that the second law is not violated in the regime where Einstein-Gauss-Bonnet holds as an effective theory and black holes can be treated thermodynamically. For mergers of AdS black holes, the second law appears to be violated even in Einstein gravity; we argue, however, that the second law holds when gravitational potential energy is taken into account.
| 6.926718
| 6.753128
| 6.658063
| 6.146182
| 6.605494
| 6.585357
| 6.808052
| 6.40358
| 6.609464
| 6.840236
| 6.558116
| 6.376588
| 6.460888
| 6.575726
| 6.6285
| 6.528911
| 6.381007
| 6.533542
| 6.600579
| 6.661976
| 6.536825
|
hep-th/9607086
|
Raimar Wulkenhaar
|
Raimar Wulkenhaar
|
A Tour through Non-Associative Geometry
|
23 pages, LaTeX2e + AMS macros; revised version: This version is
consistent with a revision of the application to a GUT in hep-th/9607237
| null | null | null |
hep-th
| null |
We develop a mathematical concept towards gauge field theories based upon a
Hilbert space endowed with a representation of a skew-adjoint Lie algebra and
an action of a generalized Dirac operator. This concept shares common features
with the non-commutative geometry a la Connes/Lott, differs from that, however,
by the implementation of skew-adjoint Lie algebras instead of unital
associative *-algebras. We present the physical motivation for our approach and
sketch its mathematical strategy. Moreover, we comment on the application of
our method to the standard model and the flipped SU(5) x U(1)-grand unification
model.
|
[
{
"created": "Thu, 11 Jul 1996 14:37:47 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Feb 1997 19:18:28 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Wulkenhaar",
"Raimar",
""
]
] |
We develop a mathematical concept towards gauge field theories based upon a Hilbert space endowed with a representation of a skew-adjoint Lie algebra and an action of a generalized Dirac operator. This concept shares common features with the non-commutative geometry a la Connes/Lott, differs from that, however, by the implementation of skew-adjoint Lie algebras instead of unital associative *-algebras. We present the physical motivation for our approach and sketch its mathematical strategy. Moreover, we comment on the application of our method to the standard model and the flipped SU(5) x U(1)-grand unification model.
| 9.073404
| 8.987384
| 8.949117
| 8.839747
| 10.096478
| 8.594763
| 9.051633
| 10.098058
| 8.73707
| 10.409051
| 8.942038
| 8.470817
| 9.029738
| 8.830543
| 8.581476
| 8.399282
| 8.629024
| 8.821232
| 8.654449
| 8.803543
| 8.919641
|
1504.04191
|
Luca Fabbri
|
Luca Fabbri
|
A simple assessment on the hierarchy problem
|
2 pages
|
Int.J.Geom.Meth.Mod.Phys.: 13, 1650068 (2016)
|
10.1142/S0219887816500687
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the simplest extension of the standard model, where torsion
couples to spinor as well as to scalar fields, and in which the cosmological
constant problem is solved.
|
[
{
"created": "Thu, 16 Apr 2015 11:41:01 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Jan 2016 11:15:36 GMT",
"version": "v2"
},
{
"created": "Mon, 4 Apr 2016 09:44:05 GMT",
"version": "v3"
},
{
"created": "Fri, 23 Jun 2017 13:20:33 GMT",
"version": "v4"
}
] |
2017-06-26
|
[
[
"Fabbri",
"Luca",
""
]
] |
We consider the simplest extension of the standard model, where torsion couples to spinor as well as to scalar fields, and in which the cosmological constant problem is solved.
| 13.074914
| 9.145967
| 9.626571
| 8.315323
| 9.858764
| 9.262411
| 12.264564
| 9.331965
| 8.978292
| 8.745781
| 9.482966
| 10.115484
| 9.700933
| 9.640467
| 10.191431
| 10.17383
| 10.234861
| 9.969441
| 10.101314
| 10.637367
| 10.431351
|
hep-th/0609185
|
Nicholas Stephen Manton
|
Nicholas S. Manton and Stephen W. Wood
|
Reparametrising the Skyrme Model using the Lithium-6 Nucleus
|
18 pages
|
Phys.Rev. D74 (2006) 125017
|
10.1103/PhysRevD.74.125017
|
DAMTP-2006-84
|
hep-th nucl-th
| null |
The minimal energy B=6 solution of the Skyrme model is a static soliton with
$D_{4d}$ symmetry. The symmetries of the solution imply that the quantum
numbers of the ground state are the same as those of the Lithium-6 nucleus.
This identification is considered further by obtaining expressions for the mean
charge radius and quadrupole moment, dependent only on the Skyrme model
parameters $e$ (a dimensionless constant) and $F_\pi$ (the pion decay
constant). The optimal values of these parameters have often been deliberated
upon, and we propose, for $B>2$, changing them from those which are most
commonly accepted. We obtain specific values for these parameters for B=6, by
matching with properties of the Lithium-6 nucleus. We find further support for
the new values by reconsidering the $\alpha$-particle and deuteron as quantized
B=4 and B=2 Skyrmions.
|
[
{
"created": "Tue, 26 Sep 2006 16:17:15 GMT",
"version": "v1"
}
] |
2013-05-29
|
[
[
"Manton",
"Nicholas S.",
""
],
[
"Wood",
"Stephen W.",
""
]
] |
The minimal energy B=6 solution of the Skyrme model is a static soliton with $D_{4d}$ symmetry. The symmetries of the solution imply that the quantum numbers of the ground state are the same as those of the Lithium-6 nucleus. This identification is considered further by obtaining expressions for the mean charge radius and quadrupole moment, dependent only on the Skyrme model parameters $e$ (a dimensionless constant) and $F_\pi$ (the pion decay constant). The optimal values of these parameters have often been deliberated upon, and we propose, for $B>2$, changing them from those which are most commonly accepted. We obtain specific values for these parameters for B=6, by matching with properties of the Lithium-6 nucleus. We find further support for the new values by reconsidering the $\alpha$-particle and deuteron as quantized B=4 and B=2 Skyrmions.
| 8.762418
| 8.954248
| 9.09857
| 8.319334
| 9.021978
| 9.099883
| 9.427669
| 9.127966
| 8.846786
| 9.773547
| 8.530798
| 8.382862
| 8.515944
| 8.499027
| 8.513646
| 8.429704
| 8.60399
| 8.785398
| 8.216301
| 8.807691
| 8.478792
|
hep-th/9610118
|
Mueller-Kirsten
|
J.-G. Zhou, J.-Q. Liang, J. Burzlaff, H.J.W. Mueller-Kirsten
|
Instanton Induced Tunneling Amplitude at Excited States with the LSZ
Method
|
8 pages, LaTex, no figures
| null |
10.1016/S0375-9601(96)00797-9
|
KL-TH-96/1
|
hep-th cond-mat
| null |
Quantum tunneling between degenerate ground states through the central
barrier of a potential is extended to excited states with the instanton method.
This extension is achieved with the help of an LSZ reduction technique as in
field theory and may be of importance in the study of macroscopic quantum
phenomena in magnetic systems.
|
[
{
"created": "Wed, 16 Oct 1996 14:53:08 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Zhou",
"J. -G.",
""
],
[
"Liang",
"J. -Q.",
""
],
[
"Burzlaff",
"J.",
""
],
[
"Mueller-Kirsten",
"H. J. W.",
""
]
] |
Quantum tunneling between degenerate ground states through the central barrier of a potential is extended to excited states with the instanton method. This extension is achieved with the help of an LSZ reduction technique as in field theory and may be of importance in the study of macroscopic quantum phenomena in magnetic systems.
| 12.472274
| 15.481961
| 14.459105
| 13.136197
| 12.464221
| 13.179237
| 13.727197
| 13.954663
| 13.455593
| 15.354002
| 12.151134
| 13.268265
| 13.801557
| 12.922183
| 13.115026
| 13.201808
| 13.113789
| 13.989651
| 13.468004
| 13.560752
| 12.494786
|
hep-th/9608116
|
Katrin Becker
|
K.Becker, M.Becker, D.R.Morrison, H.Ooguri, Y.Oz and Z.Yin
|
Supersymmetric Cycles in Exceptional Holonomy Manifolds and Calabi-Yau
4-Folds
|
17 pages, latex, no figures. Clarifying remarks on the
Super-Yang-Mills approach added
|
Nucl.Phys.B480:225-238,1996
|
10.1016/S0550-3213(96)00491-9
|
DUKE-TH-96-124, LBNL-39156, UCB-PTH-96/33, NSF-ITP-96-65,
WIS-96/34/July-PH
|
hep-th
| null |
We derive in the SCFT and low energy effective action frameworks the
necessary and sufficient conditions for supersymmetric cycles in exceptional
holonomy manifolds and Calabi-Yau 4-folds. We show that the Cayley cycles in
$Spin(7)$ holonomy eight-manifolds and the associative and coassociative cycles
in $G_2$ holonomy seven-manifolds preserve half of the space-time
supersymmetry. We find that while the holomorphic and special Lagrangian cycles
in Calabi-Yau 4-folds preserve half of the space-time supersymmetry, the Cayley
submanifolds are novel as they preserve only one quarter of it. We present some
simple examples. Finally, we discuss the implications of these supersymmetric
cycles on mirror symmetry in higher dimensions.
|
[
{
"created": "Sun, 18 Aug 1996 16:56:26 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Sep 1996 03:11:07 GMT",
"version": "v2"
}
] |
2009-09-17
|
[
[
"Becker",
"K.",
""
],
[
"Becker",
"M.",
""
],
[
"Morrison",
"D. R.",
""
],
[
"Ooguri",
"H.",
""
],
[
"Oz",
"Y.",
""
],
[
"Yin",
"Z.",
""
]
] |
We derive in the SCFT and low energy effective action frameworks the necessary and sufficient conditions for supersymmetric cycles in exceptional holonomy manifolds and Calabi-Yau 4-folds. We show that the Cayley cycles in $Spin(7)$ holonomy eight-manifolds and the associative and coassociative cycles in $G_2$ holonomy seven-manifolds preserve half of the space-time supersymmetry. We find that while the holomorphic and special Lagrangian cycles in Calabi-Yau 4-folds preserve half of the space-time supersymmetry, the Cayley submanifolds are novel as they preserve only one quarter of it. We present some simple examples. Finally, we discuss the implications of these supersymmetric cycles on mirror symmetry in higher dimensions.
| 5.336631
| 5.475382
| 6.776766
| 5.051167
| 5.337075
| 5.508261
| 5.586107
| 5.136861
| 5.04152
| 6.845105
| 5.354989
| 5.027818
| 5.926242
| 5.14676
| 5.08211
| 5.076478
| 4.980701
| 5.146041
| 5.132934
| 5.750432
| 5.085594
|
1108.0341
|
Andjelo Samsarov
|
Kumar S. Gupta, Stjepan Meljanac and Andjelo Samsarov
|
Quantum statistics and noncommutative black holes
|
8 pages, no figures, revtex4; in v2 some points are explained in more
detail, few typos corrected and one reference added
|
Phys. Rev. D 85: 045029, 2012
|
10.1103/PhysRevD.85.045029
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the behaviour of a scalar field coupled to a noncommutative black
hole which is described by a $\kappa$-cylinder Hopf algebra. We introduce a new
class of realizations of this algebra which has a smooth limit as the
deformation parameter vanishes. The twisted flip operator is independent of the
choice of realization within this class. We demonstrate that the $R$-matrix is
quasi-triangular up to the first order in the deformation parameter. Our
results indicate how a scalar field might behave in the vicinity of a black
hole at the Planck scale.
|
[
{
"created": "Mon, 1 Aug 2011 15:40:19 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Feb 2012 15:07:53 GMT",
"version": "v2"
}
] |
2012-02-28
|
[
[
"Gupta",
"Kumar S.",
""
],
[
"Meljanac",
"Stjepan",
""
],
[
"Samsarov",
"Andjelo",
""
]
] |
We study the behaviour of a scalar field coupled to a noncommutative black hole which is described by a $\kappa$-cylinder Hopf algebra. We introduce a new class of realizations of this algebra which has a smooth limit as the deformation parameter vanishes. The twisted flip operator is independent of the choice of realization within this class. We demonstrate that the $R$-matrix is quasi-triangular up to the first order in the deformation parameter. Our results indicate how a scalar field might behave in the vicinity of a black hole at the Planck scale.
| 8.45785
| 8.448896
| 8.521903
| 7.928491
| 7.563734
| 7.545401
| 8.255814
| 8.400287
| 7.982815
| 9.301416
| 7.660449
| 7.31646
| 8.073059
| 7.702406
| 7.816937
| 7.574668
| 7.723073
| 7.778785
| 7.753942
| 8.167353
| 7.408026
|
hep-th/0212094
|
Joao Barcelos-Neto
|
J. Barcelos-Neto
|
Noncommutative fields in curved space
|
4 pages, Revtex 4, twocolumn
| null | null | null |
hep-th
| null |
We consider a noncommutative theory developed in a curved background. We show
that the Moyal product has to be conveniently modified and, consequently, some
of its old properties are lost compared with the flat case. We also address the
question of diffeomorphism symmetry.
|
[
{
"created": "Mon, 9 Dec 2002 15:05:32 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Barcelos-Neto",
"J.",
""
]
] |
We consider a noncommutative theory developed in a curved background. We show that the Moyal product has to be conveniently modified and, consequently, some of its old properties are lost compared with the flat case. We also address the question of diffeomorphism symmetry.
| 14.766644
| 11.704815
| 11.958806
| 11.44744
| 11.430174
| 12.304605
| 11.342286
| 11.068152
| 11.578394
| 12.388259
| 12.022893
| 12.068073
| 12.16126
| 12.005013
| 11.838634
| 12.31278
| 11.853262
| 12.153651
| 12.510394
| 12.381251
| 11.883106
|
1806.10587
|
Lorenzo Bordin
|
Lorenzo Bordin, Paolo Creminelli, Andrei Khmelnitsky and Leonardo
Senatore
|
Light Particles with Spin in Inflation
|
40 pages, 12 figures, matches JCAP version
| null |
10.1088/1475-7516/2018/10/013
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The existence of light particles with spin during inflation is prohibited by
the Higuchi bound. This conclusion can be evaded if one considers states with a
sizeable coupling with the inflaton foliation, since this breaks the de Sitter
isometries. The action for these states can be constructed within the Effective
Field Theory of Inflation, or using a CCWZ procedure. Light particles with spin
have prescribed couplings with soft inflaton perturbations, which are encoded
in consistency relations. We study the phenomenology of light states with spin
2. These mix with the graviton changing the tensor power spectrum and can lead
to sizeable tensor non-Gaussianities. They also give rise to a scalar
bispectrum and trispectrum with a characteristic angle-dependent
non-Gaussianity.
|
[
{
"created": "Wed, 27 Jun 2018 17:36:50 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Oct 2018 09:02:52 GMT",
"version": "v2"
}
] |
2018-10-17
|
[
[
"Bordin",
"Lorenzo",
""
],
[
"Creminelli",
"Paolo",
""
],
[
"Khmelnitsky",
"Andrei",
""
],
[
"Senatore",
"Leonardo",
""
]
] |
The existence of light particles with spin during inflation is prohibited by the Higuchi bound. This conclusion can be evaded if one considers states with a sizeable coupling with the inflaton foliation, since this breaks the de Sitter isometries. The action for these states can be constructed within the Effective Field Theory of Inflation, or using a CCWZ procedure. Light particles with spin have prescribed couplings with soft inflaton perturbations, which are encoded in consistency relations. We study the phenomenology of light states with spin 2. These mix with the graviton changing the tensor power spectrum and can lead to sizeable tensor non-Gaussianities. They also give rise to a scalar bispectrum and trispectrum with a characteristic angle-dependent non-Gaussianity.
| 11.386632
| 9.847195
| 11.653666
| 10.858677
| 10.77606
| 10.863131
| 10.940681
| 10.233825
| 10.596245
| 11.602211
| 10.123596
| 10.220154
| 10.495551
| 10.667191
| 10.439013
| 10.456071
| 10.596636
| 10.661015
| 10.235619
| 10.595277
| 10.273322
|
hep-th/9302056
| null |
Christian Grosche
|
Selberg Supertrace Formula for Super Riemann Surfaces III: Bordered
Super Riemann Surfaces
|
43 pages, amstex
|
Commun. Math. Phys. 162 (1994) 591-632
|
10.1007/BF02101748
|
SISSA/180/92/FM
|
hep-th
| null |
This paper is the third in a sequel to develop a super-analogue of the
classical Selberg trace formula, the Selberg supertrace formula. It deals with
bordered super Riemann surfaces. The theory of bordered super Riemann surfaces
is outlined, and the corresponding Selberg supertrace formula is developed. The
analytic properties of the Selberg super zeta-functions on bordered super
Riemann surfaces are discussed, and super-determinants of Dirac-Laplace
operators on bordered super Riemann surfaces are calculated in terms of Selberg
super zeta-functions.
|
[
{
"created": "Sat, 13 Feb 1993 13:18:37 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Grosche",
"Christian",
""
]
] |
This paper is the third in a sequel to develop a super-analogue of the classical Selberg trace formula, the Selberg supertrace formula. It deals with bordered super Riemann surfaces. The theory of bordered super Riemann surfaces is outlined, and the corresponding Selberg supertrace formula is developed. The analytic properties of the Selberg super zeta-functions on bordered super Riemann surfaces are discussed, and super-determinants of Dirac-Laplace operators on bordered super Riemann surfaces are calculated in terms of Selberg super zeta-functions.
| 5.260089
| 5.438517
| 5.762185
| 6.039464
| 6.313421
| 5.9964
| 5.823537
| 5.80725
| 5.499918
| 6.144045
| 5.30986
| 5.143452
| 5.413614
| 5.11136
| 5.028921
| 5.174445
| 5.395166
| 5.100979
| 5.040127
| 5.519692
| 5.324691
|
hep-th/0406189
|
Martin Kruczenski
|
M. Kruczenski, A. Tseytlin
|
Semiclassical relativistic strings in S^5 and long coherent operators in
N=4 SYM theory
|
LaTeX, 50 pages, 1 figure. v2: References added, minor corrections.
54 pages. v3: Few changes. One paragraph added at the end of section 3. 55
pages
|
JHEP 0409:038,2004
|
10.1088/1126-6708/2004/09/038
| null |
hep-th
| null |
We consider the low energy effective action corresponding to the 1-loop,
planar, dilatation operator in the scalar sector of N=4 SU(N) SYM theory. For a
general class of non-holomorphic ``long'' operators, of bare dimension L>>1, it
is a sigma model action with 8-dimensional target space and agrees with a limit
of the phase-space string sigma model action describing generic fast-moving
strings in the S^5 part of AdS_5 x S^5. The limit of the string action is taken
in a way that allows for a systematic expansion to higher orders in the
effective coupling $\lambda/L^2$. This extends previous work on rigid rotating
strings in S^5 (dual to operators in the SU(3) sector of the dilatation
operator) to the case when string oscillations or pulsations in S^5 are
allowed. We establish a map between the profile of the leading order string
solution and the structure of the corresponding coherent, ``locally BPS'', SYM
scalar operator. As an application, we explicitly determine the form of the
non-holomorphic operators dual to the pulsating strings. Using action--angle
variables, we also directly compute the energy of pulsating solutions,
simplifying previous treatments.
|
[
{
"created": "Tue, 22 Jun 2004 19:42:02 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Jun 2004 18:46:55 GMT",
"version": "v2"
},
{
"created": "Wed, 4 Aug 2004 22:07:00 GMT",
"version": "v3"
}
] |
2009-09-17
|
[
[
"Kruczenski",
"M.",
""
],
[
"Tseytlin",
"A.",
""
]
] |
We consider the low energy effective action corresponding to the 1-loop, planar, dilatation operator in the scalar sector of N=4 SU(N) SYM theory. For a general class of non-holomorphic ``long'' operators, of bare dimension L>>1, it is a sigma model action with 8-dimensional target space and agrees with a limit of the phase-space string sigma model action describing generic fast-moving strings in the S^5 part of AdS_5 x S^5. The limit of the string action is taken in a way that allows for a systematic expansion to higher orders in the effective coupling $\lambda/L^2$. This extends previous work on rigid rotating strings in S^5 (dual to operators in the SU(3) sector of the dilatation operator) to the case when string oscillations or pulsations in S^5 are allowed. We establish a map between the profile of the leading order string solution and the structure of the corresponding coherent, ``locally BPS'', SYM scalar operator. As an application, we explicitly determine the form of the non-holomorphic operators dual to the pulsating strings. Using action--angle variables, we also directly compute the energy of pulsating solutions, simplifying previous treatments.
| 10.434112
| 9.829813
| 11.5048
| 10.084791
| 9.822017
| 9.764303
| 9.208925
| 9.047585
| 9.335088
| 13.016207
| 9.707328
| 9.781271
| 10.534834
| 10.005147
| 9.787525
| 9.753957
| 9.691725
| 9.764035
| 10.100458
| 10.704788
| 9.61457
|
hep-th/9901023
|
Noah Graham
|
N. Graham and R. L. Jaffe
|
Fermionic One-Loop Corrections to Soliton Energies in 1+1 Dimensions
|
12 pages, 4 figures, uses BoxedEPS;v2: fixed numerical error in
figure data
|
Nucl.Phys. B549 (1999) 516-526
|
10.1016/S0550-3213(99)00148-0
|
MIT-CTP#2813
|
hep-th hep-ph nucl-th
| null |
We demonstrate an unambiguous and robust method for computing fermionic
corrections to the energies of classical background field configurations. We
consider the particular case of a sequence of background field configurations
that interpolates continuously between the trivial vacuum and a widely
separated soliton/antisoliton pair in 1+1 dimensions. Working in the continuum,
we use phase shifts, the Born approximation, and Levinson's theorem to avoid
ambiguities of renormalization procedure and boundary conditions. We carry out
the calculation analytically at both ends of the interpolation and numerically
in between, and show how the relevant physical quantities vary continuously. In
the process, we elucidate properties of the fermionic phase shifts and zero
modes.
|
[
{
"created": "Wed, 6 Jan 1999 19:42:24 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Jul 2003 15:11:22 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Graham",
"N.",
""
],
[
"Jaffe",
"R. L.",
""
]
] |
We demonstrate an unambiguous and robust method for computing fermionic corrections to the energies of classical background field configurations. We consider the particular case of a sequence of background field configurations that interpolates continuously between the trivial vacuum and a widely separated soliton/antisoliton pair in 1+1 dimensions. Working in the continuum, we use phase shifts, the Born approximation, and Levinson's theorem to avoid ambiguities of renormalization procedure and boundary conditions. We carry out the calculation analytically at both ends of the interpolation and numerically in between, and show how the relevant physical quantities vary continuously. In the process, we elucidate properties of the fermionic phase shifts and zero modes.
| 10.671621
| 10.858457
| 11.044275
| 9.662336
| 10.325171
| 9.662043
| 9.975518
| 9.274458
| 9.683252
| 10.9708
| 9.669492
| 10.401288
| 10.743995
| 10.213788
| 10.186998
| 10.678957
| 10.40357
| 10.395082
| 10.008057
| 10.639916
| 10.230578
|
hep-th/0701150
|
Roberto Emparan
|
Roberto Emparan and Alessandro Maccarrone
|
Statistical Description of Rotating Kaluza-Klein Black Holes
|
25 pages. v2: minor correction + ref added
|
Phys.Rev.D75:084006,2007
|
10.1103/PhysRevD.75.084006
| null |
hep-th gr-qc
| null |
We extend the recent microscopic analysis of extremal dyonic Kaluza-Klein
(D0-D6) black holes to cover the regime of fast rotation in addition to slow
rotation. Fastly rotating black holes, in contrast to slow ones, have non-zero
angular velocity and possess ergospheres, so they are more similar to the Kerr
black hole. The D-brane model reproduces their entropy exactly, but the mass
gets renormalized from weak to strong coupling, in agreement with recent
macroscopic analyses of rotating attractors. We discuss how the existence of
the ergosphere and superradiance manifest themselves within the microscopic
model. In addition, we show in full generality how Myers-Perry black holes are
obtained as a limit of Kaluza-Klein black holes, and discuss the slow and fast
rotation regimes and superradiance in this context.
|
[
{
"created": "Tue, 16 Jan 2007 16:39:50 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Jan 2007 16:01:31 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Emparan",
"Roberto",
""
],
[
"Maccarrone",
"Alessandro",
""
]
] |
We extend the recent microscopic analysis of extremal dyonic Kaluza-Klein (D0-D6) black holes to cover the regime of fast rotation in addition to slow rotation. Fastly rotating black holes, in contrast to slow ones, have non-zero angular velocity and possess ergospheres, so they are more similar to the Kerr black hole. The D-brane model reproduces their entropy exactly, but the mass gets renormalized from weak to strong coupling, in agreement with recent macroscopic analyses of rotating attractors. We discuss how the existence of the ergosphere and superradiance manifest themselves within the microscopic model. In addition, we show in full generality how Myers-Perry black holes are obtained as a limit of Kaluza-Klein black holes, and discuss the slow and fast rotation regimes and superradiance in this context.
| 8.392698
| 8.388801
| 8.725375
| 7.997429
| 8.064975
| 8.499451
| 8.33236
| 8.068105
| 7.992258
| 9.444005
| 7.671313
| 7.589351
| 8.194852
| 7.577056
| 7.88625
| 7.604157
| 7.878271
| 7.684937
| 7.650089
| 8.186341
| 7.313656
|
hep-th/0312251
|
Sophie de Buyl
|
Sophie de Buyl, Marc Henneaux, Bernard Julia and Louis Paulot
|
Cosmological billiards and oxidation
|
To appear in the Proceedings of the 27th Johns Hopkins Workshop and
in the Proceedings of the 36th International Symposium Ahrenshoop; v2: minor
error corrected
|
Fortsch.Phys. 52 (2004) 548-554
|
10.1002/prop.200310143
|
LPT-ENS/03-37 ULB-TH-03/42
|
hep-th
| null |
We show how the properties of the cosmological billiards provide useful
information (spacetime dimension and $p$-form spectrum) on the oxidation
endpoint of the oxidation sequence of gravitational theories. We compare this
approach to the other available methods: $GL(n,R)$ subgroups and the
superalgebras of dualities.
|
[
{
"created": "Mon, 22 Dec 2003 12:11:03 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Feb 2004 14:03:26 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"de Buyl",
"Sophie",
""
],
[
"Henneaux",
"Marc",
""
],
[
"Julia",
"Bernard",
""
],
[
"Paulot",
"Louis",
""
]
] |
We show how the properties of the cosmological billiards provide useful information (spacetime dimension and $p$-form spectrum) on the oxidation endpoint of the oxidation sequence of gravitational theories. We compare this approach to the other available methods: $GL(n,R)$ subgroups and the superalgebras of dualities.
| 23.88262
| 21.529049
| 19.232805
| 20.400219
| 25.480909
| 24.487354
| 19.525917
| 20.474684
| 18.310305
| 21.156111
| 20.17127
| 20.3041
| 21.004854
| 20.343536
| 21.298674
| 20.111576
| 20.555267
| 21.157503
| 21.353827
| 21.305876
| 20.646961
|
hep-th/9805019
|
Ashoke Sen
|
Ashoke Sen
|
Stable Non-BPS Bound States of BPS D-branes
|
LaTeX file, 8 figures, 30 pages, minor changes, references added
|
JHEP 9808:010,1998
|
10.1088/1126-6708/1998/08/010
|
MRI-PHY/P980545
|
hep-th
| null |
S-duality symmetry of type IIB string theory predicts the existence of a
stable non-BPS state on an orbifold five plane of the type IIB theory if the
orbifold group is generated by the simultaneous action of (-1)^{F_L} and the
reversal of sign of the four coordinates transverse to the orbifold plane. We
calculate the mass of this state by starting from a pair of D-strings carrying
the same charge as this state, and then identifying the point in the moduli
space where this pair develops a tachyonic mode, signalling the appearance of a
bound state of this configuration into the non-BPS state.
|
[
{
"created": "Tue, 5 May 1998 05:43:22 GMT",
"version": "v1"
},
{
"created": "Sun, 24 May 1998 06:14:55 GMT",
"version": "v2"
},
{
"created": "Thu, 28 May 1998 07:00:53 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Sen",
"Ashoke",
""
]
] |
S-duality symmetry of type IIB string theory predicts the existence of a stable non-BPS state on an orbifold five plane of the type IIB theory if the orbifold group is generated by the simultaneous action of (-1)^{F_L} and the reversal of sign of the four coordinates transverse to the orbifold plane. We calculate the mass of this state by starting from a pair of D-strings carrying the same charge as this state, and then identifying the point in the moduli space where this pair develops a tachyonic mode, signalling the appearance of a bound state of this configuration into the non-BPS state.
| 7.698261
| 7.486012
| 9.312605
| 6.849798
| 6.866608
| 7.88858
| 7.493292
| 7.15611
| 7.210507
| 8.839752
| 7.21391
| 6.810307
| 7.048428
| 6.665573
| 6.699494
| 7.041326
| 6.619421
| 6.89627
| 6.730697
| 7.077501
| 6.798449
|
1006.4098
|
Joseph Kapusta
|
Tirthabir Biswas, Jose A. R. Cembranos, and Joseph I. Kapusta
|
Finite Temperature Solitons in Non-Local Field Theories from p-Adic
Strings
|
22 pages, 6 figures
|
Phys.Rev.D82:085028,2010
|
10.1103/PhysRevD.82.085028
|
FTPI-MINN-10/18, UMN-TH-2910/10
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Non-local field theories which arise from p-adic string theories have vacuum
soliton solutions. We find the soliton solutions at finite temperature. These
solutions become important for the partition function when the temperature
exceeds m_s/g_o^2 where m_s is the string mass scale and g_o is the open string
coupling.
|
[
{
"created": "Mon, 21 Jun 2010 15:45:59 GMT",
"version": "v1"
}
] |
2010-11-11
|
[
[
"Biswas",
"Tirthabir",
""
],
[
"Cembranos",
"Jose A. R.",
""
],
[
"Kapusta",
"Joseph I.",
""
]
] |
Non-local field theories which arise from p-adic string theories have vacuum soliton solutions. We find the soliton solutions at finite temperature. These solutions become important for the partition function when the temperature exceeds m_s/g_o^2 where m_s is the string mass scale and g_o is the open string coupling.
| 13.077174
| 10.309004
| 13.020207
| 9.829769
| 9.868608
| 10.420175
| 10.872366
| 9.286798
| 10.63973
| 12.605915
| 10.761146
| 11.684174
| 12.59534
| 11.412814
| 10.942489
| 11.263162
| 11.690062
| 10.798405
| 11.187004
| 12.567836
| 11.083724
|
hep-th/0105035
|
Neil Constable
|
Neil R. Constable, Robert C. Myers and Oyvind Tafjord
|
Fuzzy Funnels: Non-abelian Brane Intersections
|
Talk presented by R. C. Myers at Strings 2001, Mumbai, India. 12
pages
| null | null | null |
hep-th
| null |
We discuss dual formulations of D-brane intersections. The duality is between
world volume field theories of different dimensionalities which both describe
the same D-brane configuration but are valid in complementary regions of
parameter space. We discuss the duality in terms of bion configurations
involving D-strings orthogonally intersecting both D3-branes and D5-branes.
|
[
{
"created": "Thu, 3 May 2001 13:51:44 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Constable",
"Neil R.",
""
],
[
"Myers",
"Robert C.",
""
],
[
"Tafjord",
"Oyvind",
""
]
] |
We discuss dual formulations of D-brane intersections. The duality is between world volume field theories of different dimensionalities which both describe the same D-brane configuration but are valid in complementary regions of parameter space. We discuss the duality in terms of bion configurations involving D-strings orthogonally intersecting both D3-branes and D5-branes.
| 10.271729
| 9.625749
| 9.899701
| 8.843046
| 9.165997
| 8.587412
| 10.108758
| 9.153915
| 9.652281
| 11.745131
| 9.410188
| 9.012407
| 10.353168
| 9.125028
| 9.172993
| 9.042126
| 9.321235
| 9.392803
| 9.413702
| 10.011642
| 8.852273
|
1203.5034
|
Stefan Zohren
|
Max R. Atkin and Stefan Zohren
|
On the Quantum Geometry of Multi-critical CDT
|
15 pages, 2 figures, improved discussion, some new results regarding
Hausdorff dimension, as published
|
JHEP 11 (2012) 037
|
10.1007/JHEP11(2012)037
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss extensions of a recently introduced model of multi-critical CDT to
higher multi-critical points. As in the case of pure CDT the continuum limit
can be taken on the level of the action and the resulting continuum surface
model is again described by a matrix model. The resolvent, a simple observable
of the quantum geometry which is accessible from the matrix model is calculated
for arbitrary multi-critical points. We go beyond the matrix model by
determining the propagator using the peeling procedure which is used to extract
the effective quantum Hamiltonian and the fractal dimension in agreement with
earlier results by Ambjorn et al. With this at hand a string field theory
formalism for multi-critical CDT is introduced and it is shown that the
Dyson-Schwinger equations match the loop equations of the matrix model. We
conclude by commenting on how to formally obtain the sum over topologies and a
relation to stochastic quantisation.
|
[
{
"created": "Thu, 22 Mar 2012 16:39:12 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Jun 2012 21:37:10 GMT",
"version": "v2"
},
{
"created": "Tue, 8 Jan 2013 15:15:18 GMT",
"version": "v3"
}
] |
2013-01-09
|
[
[
"Atkin",
"Max R.",
""
],
[
"Zohren",
"Stefan",
""
]
] |
We discuss extensions of a recently introduced model of multi-critical CDT to higher multi-critical points. As in the case of pure CDT the continuum limit can be taken on the level of the action and the resulting continuum surface model is again described by a matrix model. The resolvent, a simple observable of the quantum geometry which is accessible from the matrix model is calculated for arbitrary multi-critical points. We go beyond the matrix model by determining the propagator using the peeling procedure which is used to extract the effective quantum Hamiltonian and the fractal dimension in agreement with earlier results by Ambjorn et al. With this at hand a string field theory formalism for multi-critical CDT is introduced and it is shown that the Dyson-Schwinger equations match the loop equations of the matrix model. We conclude by commenting on how to formally obtain the sum over topologies and a relation to stochastic quantisation.
| 10.835947
| 10.938401
| 11.050989
| 10.19306
| 10.878454
| 10.773257
| 10.663539
| 10.277836
| 10.740883
| 12.891816
| 10.423654
| 10.675783
| 10.785763
| 10.32128
| 10.612287
| 10.55083
| 10.470829
| 10.59038
| 10.460979
| 11.013939
| 10.401221
|
hep-th/9212109
|
Jean-Loup Gervais
|
Jean-Loup Gervais
|
Recent Progress of the Liouville Approach to 2D Gravity and its Toda (W)
Generalizations
|
22 pages, no figures. Notes of lecture at the September Rome meeting
String Theory, Quantum Gravity, and the Unification of Fundamental
Interactions
| null | null |
LPTENS 92/36
|
hep-th
| null |
These lecture notes review current progress on the class of conformal
theories which may be studied by quantizing the conformal Toda dynamics. After
summarizing recent developments in undertanding the quantum group structure of
the Liouville theory, one recalls how classically, two-dimensional black holes
come out from the non-abelian Toda systems, and reviews the geometrical
interpretation of the classical $A_n$-Toda theories, just put forward, that
relates W-geometries with the external geometries of holomorphic surfaces in
complex projective spaces.
|
[
{
"created": "Thu, 17 Dec 1992 18:06:26 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Gervais",
"Jean-Loup",
""
]
] |
These lecture notes review current progress on the class of conformal theories which may be studied by quantizing the conformal Toda dynamics. After summarizing recent developments in undertanding the quantum group structure of the Liouville theory, one recalls how classically, two-dimensional black holes come out from the non-abelian Toda systems, and reviews the geometrical interpretation of the classical $A_n$-Toda theories, just put forward, that relates W-geometries with the external geometries of holomorphic surfaces in complex projective spaces.
| 21.336523
| 18.338987
| 20.968903
| 17.570362
| 18.344744
| 18.225685
| 19.45565
| 17.523006
| 17.786919
| 20.812836
| 18.557007
| 17.991644
| 19.059271
| 17.891211
| 19.008127
| 18.672098
| 18.137514
| 18.13184
| 18.278629
| 19.235401
| 18.081501
|
0707.1159
|
Jan Manschot
|
Jan Manschot
|
AdS_3 Partition Functions Reconstructed
|
9 pages
|
JHEP 0710:103,2007
|
10.1088/1126-6708/2007/10/103
| null |
hep-th
| null |
For pure gravity in AdS_3, Witten has given a recipe for the construction of
holomorphically factorizable partition functions of pure gravity theories with
central charge c=24k. The partition function was found to be a polynomial in
the modular invariant j-function. We show that the partition function can be
obtained instead as a modular sum which has a more physical interpretation as a
sum over geometries. We express both the j-function and its derivative in terms
of such a sum.
|
[
{
"created": "Sun, 8 Jul 2007 22:19:34 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Nov 2007 11:13:32 GMT",
"version": "v2"
}
] |
2009-04-03
|
[
[
"Manschot",
"Jan",
""
]
] |
For pure gravity in AdS_3, Witten has given a recipe for the construction of holomorphically factorizable partition functions of pure gravity theories with central charge c=24k. The partition function was found to be a polynomial in the modular invariant j-function. We show that the partition function can be obtained instead as a modular sum which has a more physical interpretation as a sum over geometries. We express both the j-function and its derivative in terms of such a sum.
| 10.176443
| 9.65537
| 10.35647
| 9.181609
| 9.823865
| 10.539848
| 9.635767
| 10.063253
| 10.069309
| 13.163834
| 9.761571
| 8.953041
| 9.381641
| 8.647553
| 9.262333
| 8.972762
| 8.90478
| 8.917604
| 8.916422
| 9.407987
| 8.885388
|
2305.18920
|
Jae-Hyuk Oh
|
Gitae Kim, Ji-seong Chae, WooCheol Shin and Jae-Hyuk Oh
|
Stochastic quantization and holographic Wilsonian renormalization group
of scalar theory with generic mass, self-interaction and multiple trace
deformation
|
41 pages and 3 figures, typos are corrected
| null |
10.1142/S0217751X23501142
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explore the mathematical relationship between holographic Wilsonian
renormalization group(HWRG) and stochastic quantization(SQ) of scalar field
theory with its generic mass, self-interaction and $n$-multiple-trace
deformation on the $d$-dimensional conformal boundary defined in AdS$_{d+1}$
spacetime. We understand that once we define our Euclidean action, $S_E$ as
$S_E\equiv -2S_B$, then the stochastic process will reconstruct the holographic
Wilsonian renormalization group data via solving Langevin equation and
computing stochastic correlation functions. The $S_B$ is given by $S_B=S_{\rm
ct}+S_{\rm def}$, where $S_{\rm ct}$ is the boundary counter term and $S_{\rm
def}$ is the boundary deformation which gives a boundary condition. In our
study, we choose the boundary condition adding (marginal)$n$-multiple trace
deformation to the holographic dual field theory. In this theory, we establish
maps bewteen ficticious time, $t$ evolution of stochastic $n$-point,
($2n-2$)-point correlation functions and the (AdS)radial, $r$ evolution of
$n$-multiple-trace and ($2n-2$)-multiple-trace deformations respectively once
we take identifications of $r=t$ and between some of constants appearing in
both sides.
|
[
{
"created": "Tue, 30 May 2023 10:21:39 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Jun 2023 12:55:12 GMT",
"version": "v2"
},
{
"created": "Mon, 26 Jun 2023 11:18:22 GMT",
"version": "v3"
}
] |
2023-10-05
|
[
[
"Kim",
"Gitae",
""
],
[
"Chae",
"Ji-seong",
""
],
[
"Shin",
"WooCheol",
""
],
[
"Oh",
"Jae-Hyuk",
""
]
] |
We explore the mathematical relationship between holographic Wilsonian renormalization group(HWRG) and stochastic quantization(SQ) of scalar field theory with its generic mass, self-interaction and $n$-multiple-trace deformation on the $d$-dimensional conformal boundary defined in AdS$_{d+1}$ spacetime. We understand that once we define our Euclidean action, $S_E$ as $S_E\equiv -2S_B$, then the stochastic process will reconstruct the holographic Wilsonian renormalization group data via solving Langevin equation and computing stochastic correlation functions. The $S_B$ is given by $S_B=S_{\rm ct}+S_{\rm def}$, where $S_{\rm ct}$ is the boundary counter term and $S_{\rm def}$ is the boundary deformation which gives a boundary condition. In our study, we choose the boundary condition adding (marginal)$n$-multiple trace deformation to the holographic dual field theory. In this theory, we establish maps bewteen ficticious time, $t$ evolution of stochastic $n$-point, ($2n-2$)-point correlation functions and the (AdS)radial, $r$ evolution of $n$-multiple-trace and ($2n-2$)-multiple-trace deformations respectively once we take identifications of $r=t$ and between some of constants appearing in both sides.
| 9.287715
| 9.483428
| 11.135488
| 9.296891
| 10.033384
| 10.43171
| 10.102494
| 9.2586
| 9.001194
| 11.503522
| 9.226232
| 9.390284
| 10.194345
| 9.366192
| 9.433301
| 9.428718
| 9.401863
| 9.470043
| 9.389077
| 10.242813
| 9.074119
|
1511.06194
|
Ali Naseh
|
Mohsen Alishahiha, Mohammad M. Qaemmaqami, Ali Naseh and Ahmad Shirzad
|
Holographic Renormalization of 3D Minimal Massive Gravity
|
26 pages, no figures, typos fixed, Ref. added
|
JHEP 1601 (2016) 106
|
10.1007/JHEP01(2016)106
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study holographic renormalization of 3D minimal massive gravity using the
Chern-Simons-like formulation of the model. We explicitly present Gibbons-
Hawking term as well as all counterterms needed to make the action finite in
terms of dreibein and spin-connection. This can be used to find correlation
functions of stress tensor of holographic dual field theory.
|
[
{
"created": "Thu, 19 Nov 2015 15:01:54 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Dec 2015 17:53:43 GMT",
"version": "v2"
}
] |
2016-02-17
|
[
[
"Alishahiha",
"Mohsen",
""
],
[
"Qaemmaqami",
"Mohammad M.",
""
],
[
"Naseh",
"Ali",
""
],
[
"Shirzad",
"Ahmad",
""
]
] |
We study holographic renormalization of 3D minimal massive gravity using the Chern-Simons-like formulation of the model. We explicitly present Gibbons- Hawking term as well as all counterterms needed to make the action finite in terms of dreibein and spin-connection. This can be used to find correlation functions of stress tensor of holographic dual field theory.
| 8.858485
| 7.759749
| 9.591824
| 8.371012
| 8.612242
| 8.227955
| 8.618318
| 8.480968
| 8.323503
| 10.170296
| 8.130491
| 8.257502
| 8.786578
| 8.495308
| 8.440115
| 8.823961
| 8.946639
| 8.285193
| 8.569316
| 8.580663
| 8.169918
|
1607.04237
|
Charles B. Thorn
|
Charles B. Thorn
|
Protostring Scattering Amplitudes
|
30 pages
|
Phys. Rev. D 94, 106009 (2016)
|
10.1103/PhysRevD.94.106009
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We calculate some tree level scattering amplitudes for a generalization of
the protostring, which is a novel string model implied by the simplest string
bit models. These bit models produce a lightcone worldsheet which supports $s$
integer moded Grassmann fields. In the generalization we supplement this
Grassmann worldsheet system with $d=24-s$ transverse coordinate worldsheet
fields. The protostring corresponds to $s=24$ and the bosonic string to $s=0$.
The interaction vertex is a simple overlap with no operator insertions at the
break/join point. Assuming that $s$ is even we calculate the multi-string
scattering amplitudes by bosonizing the Grassmann fields, each pair equivalent
to one compactified bosonic field, and applying Mandelstam's interacting string
formalism to a system of $s/2$ compactified and $d$ uncompactified bosonic
worldsheet fields. We obtain all amplitudes for open strings with no oscillator
excitations and for closed strings with no oscillator excitations and zero
winding number. We then study in detail some simple special cases. Multi-string
processes with maximal helicity violation have much simplified amplitudes. We
also specialize to general four string amplitudes and discuss their high energy
behavior. Most of these models are not covariant under the full Lorentz group
$O(d+1,1)$. The exceptions are the bosonic string whose Lorentz group is
$O(25,1)$ and the protostring whose Lorentz group is $O(1,1)$. The models in
between only enjoy an $O(1,1)\times O(d)$ spacetime symmetry.
|
[
{
"created": "Thu, 14 Jul 2016 18:31:47 GMT",
"version": "v1"
}
] |
2016-11-23
|
[
[
"Thorn",
"Charles B.",
""
]
] |
We calculate some tree level scattering amplitudes for a generalization of the protostring, which is a novel string model implied by the simplest string bit models. These bit models produce a lightcone worldsheet which supports $s$ integer moded Grassmann fields. In the generalization we supplement this Grassmann worldsheet system with $d=24-s$ transverse coordinate worldsheet fields. The protostring corresponds to $s=24$ and the bosonic string to $s=0$. The interaction vertex is a simple overlap with no operator insertions at the break/join point. Assuming that $s$ is even we calculate the multi-string scattering amplitudes by bosonizing the Grassmann fields, each pair equivalent to one compactified bosonic field, and applying Mandelstam's interacting string formalism to a system of $s/2$ compactified and $d$ uncompactified bosonic worldsheet fields. We obtain all amplitudes for open strings with no oscillator excitations and for closed strings with no oscillator excitations and zero winding number. We then study in detail some simple special cases. Multi-string processes with maximal helicity violation have much simplified amplitudes. We also specialize to general four string amplitudes and discuss their high energy behavior. Most of these models are not covariant under the full Lorentz group $O(d+1,1)$. The exceptions are the bosonic string whose Lorentz group is $O(25,1)$ and the protostring whose Lorentz group is $O(1,1)$. The models in between only enjoy an $O(1,1)\times O(d)$ spacetime symmetry.
| 8.036129
| 7.908826
| 9.402258
| 8.308904
| 8.602509
| 9.207726
| 8.709569
| 8.313448
| 8.211395
| 9.658754
| 8.004733
| 7.932072
| 8.404963
| 7.816669
| 8.129333
| 8.021538
| 7.740491
| 7.984797
| 8.077763
| 8.243697
| 7.87071
|
0908.0121
|
George Moutsopoulos
|
George Moutsopoulos
|
The NUT in the N=2 Superalgebra
|
28 pages, v3: final version
|
Class.Quant.Grav.27:035008,2010
|
10.1088/0264-9381/27/3/035008
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study how the supersymmetry algebra extension of N=2 supergravity with
central charges describes the NUT charge in a duality-covariant way. The
stationary BPS states of N=2 supergravity can be embedded in the flat space
solution of the timelike reduced theory. Upon reduction, the Killing
superalgebra extension and the global superalgebra of charges are described
covariantly under the coset structure of the three-dimensional theory. The
integral of the Nester-Witten form given by Gibbons and Hull for N=2 has a
covariant generalization that includes the NUT charge.
|
[
{
"created": "Sun, 2 Aug 2009 11:40:25 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Oct 2009 09:07:08 GMT",
"version": "v2"
},
{
"created": "Sun, 17 Jan 2010 08:25:25 GMT",
"version": "v3"
}
] |
2010-01-21
|
[
[
"Moutsopoulos",
"George",
""
]
] |
We study how the supersymmetry algebra extension of N=2 supergravity with central charges describes the NUT charge in a duality-covariant way. The stationary BPS states of N=2 supergravity can be embedded in the flat space solution of the timelike reduced theory. Upon reduction, the Killing superalgebra extension and the global superalgebra of charges are described covariantly under the coset structure of the three-dimensional theory. The integral of the Nester-Witten form given by Gibbons and Hull for N=2 has a covariant generalization that includes the NUT charge.
| 13.77183
| 13.252069
| 16.856689
| 12.910718
| 13.852834
| 13.488908
| 14.463573
| 12.833237
| 13.134599
| 16.860098
| 12.680595
| 12.817542
| 13.63746
| 12.892289
| 13.14317
| 13.05627
| 13.123822
| 12.780457
| 12.938609
| 13.550774
| 12.397422
|
hep-th/9710129
|
Nobuyoshi Ohta
|
Nobuyoshi Ohta and Paul K. Townsend
|
Supersymmetry of M-Branes at Angles
|
11 pages, Latex
|
Phys.Lett. B418 (1998) 77-84
|
10.1016/S0370-2693(97)01396-8
|
OU-HET 279, UB-ECM-PF-97/30
|
hep-th
| null |
We determine the possible fractions of supersymmetry preserved by two
intersecting M-5-branes. These include the fractions 3/32 and 5/32 which have
not occurred previously in intersecting brane configurations. Both occur in
non-orthogonal pointlike intersections of M-5-branes but 5/32 supersymmetry is
possible only for specific fixed angles.
|
[
{
"created": "Thu, 16 Oct 1997 02:23:23 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Ohta",
"Nobuyoshi",
""
],
[
"Townsend",
"Paul K.",
""
]
] |
We determine the possible fractions of supersymmetry preserved by two intersecting M-5-branes. These include the fractions 3/32 and 5/32 which have not occurred previously in intersecting brane configurations. Both occur in non-orthogonal pointlike intersections of M-5-branes but 5/32 supersymmetry is possible only for specific fixed angles.
| 10.767223
| 10.005068
| 11.903695
| 10.311536
| 9.314085
| 8.644546
| 9.456341
| 8.786858
| 10.333037
| 13.464415
| 9.292304
| 9.099819
| 12.105741
| 10.932699
| 9.727525
| 8.846742
| 9.781257
| 9.330183
| 10.496502
| 12.58307
| 8.841082
|
1708.02803
|
Amilcar Queiroz Mr
|
M. Asorey, A. P. Balachandran, G. Marmo and A. R. de Queiroz
|
Localization in the Rindler Wedge
|
11 pages
|
Phys. Rev. D 96, 105001 (2017)
|
10.1103/PhysRevD.96.105001
| null |
hep-th gr-qc math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
One of the striking features of QED is that charged particles create a
coherent cloud of photons. The resultant coherent state vectors of photons
generate a non-trivial representation of the localized algebra of observables
that do not support a representation of the Lorentz group: Lorentz symmetry is
spontaneously broken. We show in particular that Lorentz boost generators
diverge in this representation, a result shown also in [1] (See also [2]).
Localization of observables, for example in the Rindler wedge, uses Poincar\'e
invariance in an essential way [3]. Hence in the presence of charged fields,
the photon observables cannot be localized in the Rindler wedge.
These observations may have a bearing on the black hole information loss
paradox, as the physics in the exterior of the black hole has points of
resemblance to that in the Rindler wedge.
|
[
{
"created": "Wed, 9 Aug 2017 12:20:47 GMT",
"version": "v1"
}
] |
2017-11-15
|
[
[
"Asorey",
"M.",
""
],
[
"Balachandran",
"A. P.",
""
],
[
"Marmo",
"G.",
""
],
[
"de Queiroz",
"A. R.",
""
]
] |
One of the striking features of QED is that charged particles create a coherent cloud of photons. The resultant coherent state vectors of photons generate a non-trivial representation of the localized algebra of observables that do not support a representation of the Lorentz group: Lorentz symmetry is spontaneously broken. We show in particular that Lorentz boost generators diverge in this representation, a result shown also in [1] (See also [2]). Localization of observables, for example in the Rindler wedge, uses Poincar\'e invariance in an essential way [3]. Hence in the presence of charged fields, the photon observables cannot be localized in the Rindler wedge. These observations may have a bearing on the black hole information loss paradox, as the physics in the exterior of the black hole has points of resemblance to that in the Rindler wedge.
| 9.972652
| 9.814261
| 10.14443
| 9.815713
| 9.835297
| 10.125969
| 9.994768
| 10.397996
| 9.705249
| 11.948268
| 9.493563
| 9.108432
| 9.390219
| 9.410897
| 9.35636
| 9.45757
| 9.406702
| 8.995706
| 9.580758
| 9.898245
| 9.205242
|
2304.11710
|
Tomasz Roma\'nczukiewicz Ph.D.
|
Patrick Dorey, Anastasia Gorina, Tomasz Roma\'nczukiewicz and Yakov
Shnir
|
Collisions of weakly-bound kinks in the Christ-Lee model
|
23 pages, 24 figures
| null | null | null |
hep-th math-ph math.MP nlin.PS
|
http://creativecommons.org/licenses/by/4.0/
|
We investigate soliton collisions a one-parameter family of scalar field
theories in 1+1 dimensions which was first discussed by Christ and Lee. The
models have a sextic potential with three local minima, and for suitably small
values of the parameter its kinks have an internal structure in the form of two
weakly-bound subkinks. We show that for these values of the parameter kink
collisions are best understood as an independent sequence of collisions of
these subkinks, and that a static mode analysis is not enough to explain
resonant structures emerging in this model. We also emphasise the role of
radiation and oscillon formation in the collision process.
|
[
{
"created": "Sun, 23 Apr 2023 18:00:02 GMT",
"version": "v1"
}
] |
2023-04-25
|
[
[
"Dorey",
"Patrick",
""
],
[
"Gorina",
"Anastasia",
""
],
[
"Romańczukiewicz",
"Tomasz",
""
],
[
"Shnir",
"Yakov",
""
]
] |
We investigate soliton collisions a one-parameter family of scalar field theories in 1+1 dimensions which was first discussed by Christ and Lee. The models have a sextic potential with three local minima, and for suitably small values of the parameter its kinks have an internal structure in the form of two weakly-bound subkinks. We show that for these values of the parameter kink collisions are best understood as an independent sequence of collisions of these subkinks, and that a static mode analysis is not enough to explain resonant structures emerging in this model. We also emphasise the role of radiation and oscillon formation in the collision process.
| 13.578911
| 12.644791
| 13.313258
| 11.585521
| 11.626261
| 11.161002
| 11.814631
| 11.049727
| 11.571548
| 14.170243
| 11.590191
| 11.846863
| 12.933525
| 12.027776
| 12.117023
| 11.802589
| 12.299228
| 11.925261
| 12.055176
| 13.02108
| 11.931552
|
hep-th/0205193
|
Chaiho Rim
|
Chaiho Rim (Chonbuk) and Jae Hyung Yee (Yonsei)
|
Unitarity in space-time noncommutative field theories
|
S-matrix formula is revised with proper definition of time-ordering
|
Phys.Lett. B574 (2003) 111-120
|
10.1016/j.physletb.2003.08.073
| null |
hep-th
| null |
In non-commutative field theories conventional wisdom is that the unitarity
is non-compatible with the perturbation analysis when time is involved in the
non-commutative coordinates. However, as suggested by Bahns et.al. recently,
the root of the problem lies in the improper definition of the time-ordered
product. In this article, functional formalism of S-matrix is explicitly
constructed for the non-commutative $\phi^p$ scalar field theory using the
field equation in the Heisenberg picture and proper definition of
time-ordering. This S-matrix is manifestly unitary. Using the free spectral
(Wightmann) function as the free field propagator, we demonstrate the
perturbation obeys the unitarity, and present the exact two particle scattering
amplitude for 1+1 dimensional non-commutative nonlinear Schr\"odinger model.
|
[
{
"created": "Mon, 20 May 2002 02:17:50 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Jul 2002 04:19:11 GMT",
"version": "v2"
},
{
"created": "Mon, 12 May 2003 14:48:47 GMT",
"version": "v3"
}
] |
2010-04-05
|
[
[
"Rim",
"Chaiho",
"",
"Chonbuk"
],
[
"Yee",
"Jae Hyung",
"",
"Yonsei"
]
] |
In non-commutative field theories conventional wisdom is that the unitarity is non-compatible with the perturbation analysis when time is involved in the non-commutative coordinates. However, as suggested by Bahns et.al. recently, the root of the problem lies in the improper definition of the time-ordered product. In this article, functional formalism of S-matrix is explicitly constructed for the non-commutative $\phi^p$ scalar field theory using the field equation in the Heisenberg picture and proper definition of time-ordering. This S-matrix is manifestly unitary. Using the free spectral (Wightmann) function as the free field propagator, we demonstrate the perturbation obeys the unitarity, and present the exact two particle scattering amplitude for 1+1 dimensional non-commutative nonlinear Schr\"odinger model.
| 10.757182
| 10.343634
| 10.627407
| 10.40489
| 11.142887
| 10.444483
| 9.869314
| 10.214421
| 9.739419
| 11.398
| 9.830706
| 9.97926
| 9.689492
| 9.494535
| 9.409784
| 9.462865
| 9.706189
| 9.560159
| 9.597772
| 9.684389
| 9.488028
|
hep-th/9309085
|
Damiano Anselmi
|
Damiano Anselmi
|
Predictivity and Nonrenormalizability
|
31 pages, LaTeX, SISSA/ISAS 147/93/EP (An alternative proof of a
lemma in sect. V has been added. Minor changes in some comments in
Introduction and sections IV and V. References added.)
|
Class.Quant.Grav. 11 (1994) 2181-2204
|
10.1088/0264-9381/11/9/005
| null |
hep-th
| null |
We consider the problem of removing the divergences in an arbitrary
gauge-field theory (possibly nonrenormalizable). We show that this can be
achieved by performing, order by order in the loop expansion, a redefinition of
some parameters (possibly infinitely many) and a canonical transformation (in
the sense of Batalin and Vilkovisky) of fields and BRS sources.
Gauge-invariance is turned into a suitable quantum generalization of
BRS-invariance. We define quantum observables and study their properties. We
apply the result to renormalizable gauge-field theories that are gauge-fixed
with a nonrenormalizable gauge-fixing and prove that their predictivity is
retained. A corollary is that topological field theories are predictive.
Analogies and differences with the formalisms of classical and quantum
mechanics are pointed out.
|
[
{
"created": "Wed, 15 Sep 1993 13:36:21 GMT",
"version": "v1"
},
{
"created": "Sat, 25 Sep 1993 13:55:35 GMT",
"version": "v2"
},
{
"created": "Thu, 28 Oct 1993 17:31:02 GMT",
"version": "v3"
}
] |
2009-10-22
|
[
[
"Anselmi",
"Damiano",
""
]
] |
We consider the problem of removing the divergences in an arbitrary gauge-field theory (possibly nonrenormalizable). We show that this can be achieved by performing, order by order in the loop expansion, a redefinition of some parameters (possibly infinitely many) and a canonical transformation (in the sense of Batalin and Vilkovisky) of fields and BRS sources. Gauge-invariance is turned into a suitable quantum generalization of BRS-invariance. We define quantum observables and study their properties. We apply the result to renormalizable gauge-field theories that are gauge-fixed with a nonrenormalizable gauge-fixing and prove that their predictivity is retained. A corollary is that topological field theories are predictive. Analogies and differences with the formalisms of classical and quantum mechanics are pointed out.
| 7.99091
| 8.947249
| 8.348557
| 7.832633
| 8.65234
| 8.191252
| 8.116688
| 8.231569
| 8.011129
| 8.073361
| 8.058273
| 7.829012
| 7.757894
| 7.704458
| 8.01734
| 7.896208
| 7.989103
| 8.032272
| 7.846987
| 7.636466
| 8.093196
|
hep-th/9411043
|
K. S. Viswanathan
|
R.Parthasarathy and K.S.Viswanathan
|
Harmonic Gauss Maps and Self-Dual Equations in String Theory
|
24 pages
| null | null | null |
hep-th
| null |
The string world sheet, regarded as Riemann surface, in background $R^3$ and
$R^4$ is described by the generalised Gauss map. When the Gauss map is harmonic
or equivalently for surfaces of constant mean scalar curvature, we obtain an
Abelian self-dual system, using $SO(3)$ and $SO(4)$ gauge fields constructed in
our earlier studies. This compliments our earlier result that $h\surd g\ =\ 1$
surfaces exhibit Virasaro symmetry. The self-dual system so obtained is
compared with self-dual Chern-Simons system and a generalized Liouville
equation involving extrinsic geometry is obtained. \vspace{0.2cm} The world
sheet in background $R^n, \ n>4$ is described by the generalized Gauss map. It
is first shown that when the Gauss map is harmonic, the scalar mean curvature
is constant. $SO(n)$ gauge fields are constructed from the geometry of the
surface and expressed in terms of the Gauss map. It is shown that the harmonic
map satisfies a non-Abelian self-dual system of equations for the gauge group
$SO(2)\times SO(n-2)$.
|
[
{
"created": "Sun, 6 Nov 1994 20:37:38 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Parthasarathy",
"R.",
""
],
[
"Viswanathan",
"K. S.",
""
]
] |
The string world sheet, regarded as Riemann surface, in background $R^3$ and $R^4$ is described by the generalised Gauss map. When the Gauss map is harmonic or equivalently for surfaces of constant mean scalar curvature, we obtain an Abelian self-dual system, using $SO(3)$ and $SO(4)$ gauge fields constructed in our earlier studies. This compliments our earlier result that $h\surd g\ =\ 1$ surfaces exhibit Virasaro symmetry. The self-dual system so obtained is compared with self-dual Chern-Simons system and a generalized Liouville equation involving extrinsic geometry is obtained. \vspace{0.2cm} The world sheet in background $R^n, \ n>4$ is described by the generalized Gauss map. It is first shown that when the Gauss map is harmonic, the scalar mean curvature is constant. $SO(n)$ gauge fields are constructed from the geometry of the surface and expressed in terms of the Gauss map. It is shown that the harmonic map satisfies a non-Abelian self-dual system of equations for the gauge group $SO(2)\times SO(n-2)$.
| 9.6144
| 7.063008
| 10.626081
| 7.762491
| 9.647634
| 6.934195
| 7.710991
| 7.506165
| 7.733887
| 10.602675
| 7.739759
| 8.685757
| 9.276525
| 8.588577
| 9.186429
| 8.505768
| 8.659618
| 8.3673
| 8.715541
| 9.232723
| 8.798286
|
2405.17562
|
Yixin Xu
|
Nathan Benjamin, Jaeha Lee, Sridip Pal, David Simmons-Duffin, Yixin Xu
|
Angular fractals in thermal QFT
|
45 pages+ appendices, 7 figures
| null | null |
CALT-TH 2024-021
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that thermal effective field theory controls the long-distance
expansion of the partition function of a $d$-dimensional QFT, with an insertion
of any finite-order spatial isometry. Consequently, the thermal partition
function on a sphere displays a fractal-like structure as a function of angular
twist, reminiscent of the behavior of a modular form near the real line. As an
example application, we find that for CFTs, the effective free energy of
even-spin minus odd-spin operators at high temperature is smaller than the
usual free energy by a factor of $1/2^d$. Near certain rational angles, the
partition function receives subleading contributions from "Kaluza-Klein vortex
defects" in the thermal EFT, which we classify. We illustrate our results with
examples in free and holographic theories, and also discuss nonperturbative
corrections from worldline instantons.
|
[
{
"created": "Mon, 27 May 2024 18:00:07 GMT",
"version": "v1"
}
] |
2024-05-29
|
[
[
"Benjamin",
"Nathan",
""
],
[
"Lee",
"Jaeha",
""
],
[
"Pal",
"Sridip",
""
],
[
"Simmons-Duffin",
"David",
""
],
[
"Xu",
"Yixin",
""
]
] |
We show that thermal effective field theory controls the long-distance expansion of the partition function of a $d$-dimensional QFT, with an insertion of any finite-order spatial isometry. Consequently, the thermal partition function on a sphere displays a fractal-like structure as a function of angular twist, reminiscent of the behavior of a modular form near the real line. As an example application, we find that for CFTs, the effective free energy of even-spin minus odd-spin operators at high temperature is smaller than the usual free energy by a factor of $1/2^d$. Near certain rational angles, the partition function receives subleading contributions from "Kaluza-Klein vortex defects" in the thermal EFT, which we classify. We illustrate our results with examples in free and holographic theories, and also discuss nonperturbative corrections from worldline instantons.
| 12.860254
| 12.256642
| 14.487983
| 13.009645
| 13.118059
| 12.974463
| 12.85037
| 13.497937
| 12.639202
| 16.011621
| 11.829832
| 11.807478
| 13.201748
| 12.15167
| 12.066629
| 12.656361
| 12.64429
| 12.145373
| 12.192589
| 12.882277
| 12.175067
|
1810.06618
|
Keita Nii
|
Keita Nii
|
Confinement in 3d $\mathcal{N}=2$ $Spin(N)$ gauge theories with vector
and spinor matters
|
33 pages
| null |
10.1007/JHEP03(2019)113
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present various confinement phases of three-dimensional $\mathcal{N}=2$
$Spin(N)$ gauge theories with vector and spinor matters. The quantum Coulomb
branch of the moduli space of vacua is drastically changed when the rank of the
gauge group and the matter contents are changed. In many examples, the Coulomb
branch is one- or two-dimensional but its interpretation varies. In some
examples, the Coulomb branch becomes three-dimensional and we need to introduce
a "dressed" Coulomb branch operator.
|
[
{
"created": "Mon, 15 Oct 2018 19:07:17 GMT",
"version": "v1"
}
] |
2019-05-01
|
[
[
"Nii",
"Keita",
""
]
] |
We present various confinement phases of three-dimensional $\mathcal{N}=2$ $Spin(N)$ gauge theories with vector and spinor matters. The quantum Coulomb branch of the moduli space of vacua is drastically changed when the rank of the gauge group and the matter contents are changed. In many examples, the Coulomb branch is one- or two-dimensional but its interpretation varies. In some examples, the Coulomb branch becomes three-dimensional and we need to introduce a "dressed" Coulomb branch operator.
| 9.337831
| 7.674574
| 10.767179
| 7.049203
| 7.291564
| 8.015388
| 8.02505
| 7.725842
| 7.682727
| 10.191122
| 7.767242
| 8.252076
| 9.285485
| 7.932123
| 8.002333
| 8.141426
| 8.307706
| 8.223701
| 8.279127
| 9.610782
| 8.507106
|
hep-th/0409232
|
Alexei Deriglazov A.
|
A. A. Deriglazov
|
Doubly Special Relativity in Position Space Starting from the Conformal
Group
|
Latex twice, 12 pages, final version
|
Phys.Lett. B603 (2004) 124-129
|
10.1016/j.physletb.2004.10.024
| null |
hep-th gr-qc
| null |
We propose version of doubly special relativity theory starting from position
space. The version is based on deformation of ordinary Lorentz transformations
due to the special conformal transformation. There is unique deformation which
does not modify rotations. In contrast to the Fock-Lorentz realization (as well
as to recent position-space proposals), maximum signal velocity is position
(and observer) independent scale in our formulation by construction. The
formulation admits one more invariant scale identified with radius of
three-dimensional space-like hypersection of space-time. We present and discuss
the Lagrangian action for geodesic motion of a particle on the DSR space. For
the present formulation, one needs to distinguish the canonical (conjugated to
$x^\mu$) momentum $p^\mu$ from the conserved energy-momentum. Deformed Lorentz
transformations for $x^\mu$ induce complicated transformation law in space of
canonical momentum. $p^\mu$ is not a conserved quantity and obeys to deformed
dispersion relation. The conserved energy-momentum $P^\mu$ turns out to be
different from the canonical one, in particular, $P^\mu$-space is equipped with
nontrivial commutator. The nonlinear transformations for $x^\mu$ induce the
standard Lorentz transformations in space of $P^\mu$. It means, in particular,
that composite rule for $P^\mu$ is ordinary sum. There is no problem of total
momentum in the theory. $P^\mu$ obeys the standard energy-momentum relation
(while has nonstandard dependence on velocity).
|
[
{
"created": "Thu, 23 Sep 2004 10:36:10 GMT",
"version": "v1"
},
{
"created": "Sat, 9 Oct 2004 19:07:23 GMT",
"version": "v2"
},
{
"created": "Fri, 29 Oct 2004 13:11:10 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Deriglazov",
"A. A.",
""
]
] |
We propose version of doubly special relativity theory starting from position space. The version is based on deformation of ordinary Lorentz transformations due to the special conformal transformation. There is unique deformation which does not modify rotations. In contrast to the Fock-Lorentz realization (as well as to recent position-space proposals), maximum signal velocity is position (and observer) independent scale in our formulation by construction. The formulation admits one more invariant scale identified with radius of three-dimensional space-like hypersection of space-time. We present and discuss the Lagrangian action for geodesic motion of a particle on the DSR space. For the present formulation, one needs to distinguish the canonical (conjugated to $x^\mu$) momentum $p^\mu$ from the conserved energy-momentum. Deformed Lorentz transformations for $x^\mu$ induce complicated transformation law in space of canonical momentum. $p^\mu$ is not a conserved quantity and obeys to deformed dispersion relation. The conserved energy-momentum $P^\mu$ turns out to be different from the canonical one, in particular, $P^\mu$-space is equipped with nontrivial commutator. The nonlinear transformations for $x^\mu$ induce the standard Lorentz transformations in space of $P^\mu$. It means, in particular, that composite rule for $P^\mu$ is ordinary sum. There is no problem of total momentum in the theory. $P^\mu$ obeys the standard energy-momentum relation (while has nonstandard dependence on velocity).
| 11.588574
| 12.331148
| 11.788484
| 11.305813
| 12.106647
| 11.697787
| 12.479263
| 11.356551
| 11.476456
| 12.850876
| 11.645153
| 11.052655
| 11.010162
| 11.087533
| 10.915486
| 11.16911
| 11.063322
| 11.138645
| 11.337384
| 11.060824
| 11.030968
|
1707.00714
|
Emanuel Malek
|
Emanuel Malek
|
Half-maximal supersymmetry from exceptional field theory
|
105 pages; v2: Added a section proving consistency of truncation at
the level of the equations of motion, and some references; v3: Published
version, minor typos corrected
|
Fortsch.Phys. 65 (2017) no.10-11, 1700061
|
10.1002/prop.201700061
|
LMU-ASC 39/17
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study $D \geq 4$-dimensional half-maximal flux backgrounds using
exceptional field theory. We define the relevant generalised structures and
also find the integrability conditions which give warped half-maximal
$\mathrm{Minkowski}_D$ and $\mathrm{AdS}_D$ vacua. We then show how to obtain
consistent truncations of type II / 11-dimensional SUGRA which break half the
supersymmetry. Such truncations can be defined on backgrounds admitting
exceptional generalised $\mathrm{SO}(d-1-N)$ structures, where $d = 11 - D$,
and $N$ is the number of vector multiplets obtained in the lower-dimensional
theory. Our procedure yields the most general embedding tensors satisfying the
linear constraint of half-maximal gauged SUGRA. We use this to prove that all
$D\geq 4$ half-maximal warped $\mathrm{AdS}_D$ and Minkowski$_D$ vacua of type
II / 11-dimensional SUGRA admit a consistent truncation keeping only the
gravitational supermultiplet. We also show to obtain heterotic double field
theory from exceptional field theory and comment on the M-theory / heterotic
duality. In five dimensions, we find a new $\mathrm{SO}(5,N)$ double field
theory with a $(6+N)$-dimensional extended space. Its section condition has one
solution corresponding to 10-dimensional ${\cal N}=1$ supergravity and another
yielding six-dimensional ${\cal N}=\left(2,0\right)$ SUGRA.
|
[
{
"created": "Mon, 3 Jul 2017 18:09:15 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Jul 2017 17:13:57 GMT",
"version": "v2"
},
{
"created": "Mon, 9 Oct 2017 11:48:18 GMT",
"version": "v3"
}
] |
2017-10-10
|
[
[
"Malek",
"Emanuel",
""
]
] |
We study $D \geq 4$-dimensional half-maximal flux backgrounds using exceptional field theory. We define the relevant generalised structures and also find the integrability conditions which give warped half-maximal $\mathrm{Minkowski}_D$ and $\mathrm{AdS}_D$ vacua. We then show how to obtain consistent truncations of type II / 11-dimensional SUGRA which break half the supersymmetry. Such truncations can be defined on backgrounds admitting exceptional generalised $\mathrm{SO}(d-1-N)$ structures, where $d = 11 - D$, and $N$ is the number of vector multiplets obtained in the lower-dimensional theory. Our procedure yields the most general embedding tensors satisfying the linear constraint of half-maximal gauged SUGRA. We use this to prove that all $D\geq 4$ half-maximal warped $\mathrm{AdS}_D$ and Minkowski$_D$ vacua of type II / 11-dimensional SUGRA admit a consistent truncation keeping only the gravitational supermultiplet. We also show to obtain heterotic double field theory from exceptional field theory and comment on the M-theory / heterotic duality. In five dimensions, we find a new $\mathrm{SO}(5,N)$ double field theory with a $(6+N)$-dimensional extended space. Its section condition has one solution corresponding to 10-dimensional ${\cal N}=1$ supergravity and another yielding six-dimensional ${\cal N}=\left(2,0\right)$ SUGRA.
| 5.615598
| 6.296282
| 7.323738
| 6.210225
| 6.407871
| 6.280748
| 6.646163
| 6.053077
| 5.936409
| 7.649564
| 5.73868
| 5.752348
| 6.201499
| 5.809524
| 5.774588
| 5.833656
| 5.717074
| 5.738628
| 5.743093
| 5.912179
| 5.819408
|
1409.1383
|
Shankhadeep Chakrabortty
|
Shankhadeep Chakrabortty and B.Sathiapalan
|
Schwinger Effect and Negative Differential Conductivity in Holographic
Models
| null | null |
10.1016/j.nuclphysb.2014.11.010
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The consequences of the Schwinger effect for conductivity is computed for
strong coupling systems using holography. The one loop diagram on the flavor
brane introduces an $O({\lambda \over N_c})$ imaginary part in the effective
action for a Maxwell flavor gauge field. This in turn introduces a real
conductivity in an otherwise insulating phase of the boundary theory. Moreover
in certain regions of parameter space the differential conductivity is
negative. This is computed in the context of the Sakai-Sugimoto model.
|
[
{
"created": "Thu, 4 Sep 2014 09:53:48 GMT",
"version": "v1"
}
] |
2015-06-22
|
[
[
"Chakrabortty",
"Shankhadeep",
""
],
[
"Sathiapalan",
"B.",
""
]
] |
The consequences of the Schwinger effect for conductivity is computed for strong coupling systems using holography. The one loop diagram on the flavor brane introduces an $O({\lambda \over N_c})$ imaginary part in the effective action for a Maxwell flavor gauge field. This in turn introduces a real conductivity in an otherwise insulating phase of the boundary theory. Moreover in certain regions of parameter space the differential conductivity is negative. This is computed in the context of the Sakai-Sugimoto model.
| 15.508641
| 14.345304
| 14.307022
| 13.362601
| 12.949184
| 14.250317
| 13.97559
| 13.450344
| 13.3454
| 16.813789
| 13.067385
| 13.49232
| 14.648698
| 13.047168
| 12.734546
| 12.906748
| 13.274501
| 13.467384
| 12.971528
| 13.856754
| 13.67323
|
hep-th/9507170
| null |
Ian I. Kogan, Mikhail Shifman, and Arkady Vainshtein
|
Matching Conditions and Duality in N=1 SUSY Gauge Theories in the
Conformal Window
|
Latex, 25 pages, 1 figure. Second revision: we prove that the 't
Hooft consistency conditions for the external anomalies of the conserved R
current contain no corrections beyond one loop
|
Phys.Rev.D53:4526-4537,1996; Erratum-ibid.D59:109903,1999
|
10.1103/PhysRevD.53.4526 10.1103/PhysRevD.59.109903
|
TPI-MINN-95/18-T, UMN-TH-1350-95, OUTP-95-25P
|
hep-th
| null |
We discuss duality in $N=1$ SUSY gauge theories in Seiberg's conformal
window, $(3N_c/2)<N_f<3N_c$. The 't Hooft consistency conditions -- the basic
tool for establishing the infrared duality -- are considered taking into
account higher order $\alpha$ corrections. The conserved (anomaly free) $R$
current is built to all orders in $\alpha$. Although this current contains all
orders in $\alpha$ the 't Hooft consistency conditions for this current are
shown to be one-loop. This observation thus justifies Seiberg's matching
procedure. We also briefly discuss the inequivalence of the ``electric" and
``magnetic" theories at short distances.
|
[
{
"created": "Mon, 31 Jul 1995 01:49:36 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Aug 1995 19:01:07 GMT",
"version": "v2"
},
{
"created": "Thu, 10 Aug 1995 02:09:22 GMT",
"version": "v3"
},
{
"created": "Sat, 16 Sep 1995 00:18:51 GMT",
"version": "v4"
}
] |
2014-11-18
|
[
[
"Kogan",
"Ian I.",
""
],
[
"Shifman",
"Mikhail",
""
],
[
"Vainshtein",
"Arkady",
""
]
] |
We discuss duality in $N=1$ SUSY gauge theories in Seiberg's conformal window, $(3N_c/2)<N_f<3N_c$. The 't Hooft consistency conditions -- the basic tool for establishing the infrared duality -- are considered taking into account higher order $\alpha$ corrections. The conserved (anomaly free) $R$ current is built to all orders in $\alpha$. Although this current contains all orders in $\alpha$ the 't Hooft consistency conditions for this current are shown to be one-loop. This observation thus justifies Seiberg's matching procedure. We also briefly discuss the inequivalence of the ``electric" and ``magnetic" theories at short distances.
| 9.541294
| 9.420645
| 10.036329
| 8.301387
| 9.661863
| 8.552472
| 9.563387
| 8.974714
| 8.644059
| 9.064878
| 9.281747
| 8.910224
| 8.759013
| 8.923659
| 9.010907
| 9.424998
| 8.983515
| 9.297904
| 9.14267
| 8.917013
| 8.991003
|
1707.09600
|
Angel Ballesteros
|
A. Ballesteros, G. Gubitosi, I. Gutierrez-Sagredo, F.J. Herranz
|
Curved momentum spaces from quantum groups with cosmological constant
|
13 pages
|
Physics Letters B 773 (2017) pp. 47-53
|
10.1016/j.physletb.2017.08.008
| null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We bring the concept that quantum symmetries describe theories with
nontrivial momentum space properties one step further, looking at quantum
symmetries of spacetime in presence of a nonvanishing cosmological constant
$\Lambda$. In particular, the momentum space associated to the
$\kappa$-deformation of the de Sitter algebra in (1+1) and (2+1) dimensions is
explicitly constructed as a dual Poisson-Lie group manifold parametrized by
$\Lambda$. Such momentum space includes both the momenta associated to
spacetime translations and the `hyperbolic' momenta associated to boost
transformations, and has the geometry of (half of) a de Sitter manifold. Known
results for the momentum space of the $\kappa$-Poincar\'e algebra are smoothly
recovered in the limit $\Lambda\to 0$, where hyperbolic momenta decouple from
translational momenta. The approach here presented is general and can be
applied to other quantum deformations of kinematical symmetries, including
(3+1)-dimensional ones.
|
[
{
"created": "Sun, 30 Jul 2017 09:32:59 GMT",
"version": "v1"
}
] |
2017-09-13
|
[
[
"Ballesteros",
"A.",
""
],
[
"Gubitosi",
"G.",
""
],
[
"Gutierrez-Sagredo",
"I.",
""
],
[
"Herranz",
"F. J.",
""
]
] |
We bring the concept that quantum symmetries describe theories with nontrivial momentum space properties one step further, looking at quantum symmetries of spacetime in presence of a nonvanishing cosmological constant $\Lambda$. In particular, the momentum space associated to the $\kappa$-deformation of the de Sitter algebra in (1+1) and (2+1) dimensions is explicitly constructed as a dual Poisson-Lie group manifold parametrized by $\Lambda$. Such momentum space includes both the momenta associated to spacetime translations and the `hyperbolic' momenta associated to boost transformations, and has the geometry of (half of) a de Sitter manifold. Known results for the momentum space of the $\kappa$-Poincar\'e algebra are smoothly recovered in the limit $\Lambda\to 0$, where hyperbolic momenta decouple from translational momenta. The approach here presented is general and can be applied to other quantum deformations of kinematical symmetries, including (3+1)-dimensional ones.
| 6.131985
| 6.2292
| 6.192324
| 5.623049
| 5.999799
| 6.007038
| 5.782271
| 5.711601
| 5.683471
| 6.557415
| 5.998171
| 5.857743
| 6.050397
| 5.822087
| 5.996178
| 5.935007
| 5.795461
| 5.727659
| 5.882056
| 6.020659
| 5.772863
|
2102.05697
|
Felix Haehl
|
Felix M. Haehl and Ying Zhao
|
Size and momentum of an infalling particle in the black hole interior
|
18 Pages, 10 figures. v2: published version
|
J. High Energ. Phys. 2021, 56 (2021)
|
10.1007/JHEP06(2021)056
| null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The future interior of black holes in AdS/CFT can be described in terms of a
quantum circuit. We investigate boundary quantities detecting properties of
this quantum circuit. We discuss relations between operator size, quantum
complexity, and the momentum of an infalling particle in the black hole
interior. We argue that the trajectory of the infalling particle in the
interior close to the horizon is related to the growth of operator size. The
notion of size here differs slightly from the size which has previously been
related to momentum of exterior particles and provides an interesting
generalization. The fact that both exterior and interior momentum are related
to operator size growth is a manifestation of complementarity.
|
[
{
"created": "Wed, 10 Feb 2021 19:13:27 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Jun 2021 17:54:24 GMT",
"version": "v2"
}
] |
2021-06-09
|
[
[
"Haehl",
"Felix M.",
""
],
[
"Zhao",
"Ying",
""
]
] |
The future interior of black holes in AdS/CFT can be described in terms of a quantum circuit. We investigate boundary quantities detecting properties of this quantum circuit. We discuss relations between operator size, quantum complexity, and the momentum of an infalling particle in the black hole interior. We argue that the trajectory of the infalling particle in the interior close to the horizon is related to the growth of operator size. The notion of size here differs slightly from the size which has previously been related to momentum of exterior particles and provides an interesting generalization. The fact that both exterior and interior momentum are related to operator size growth is a manifestation of complementarity.
| 12.979141
| 11.868495
| 12.228143
| 12.168928
| 12.146999
| 11.959206
| 11.907201
| 12.35092
| 11.050826
| 13.805503
| 12.318659
| 11.734073
| 12.115677
| 11.527697
| 12.604274
| 11.931404
| 12.380611
| 11.915277
| 12.558907
| 12.274631
| 12.38835
|
hep-th/9308004
| null |
V.V.Dodonov, O.V.Man'ko and V.I.Man'ko
|
Photon distribution for one mode mixed light with generic gaussian
Wigner function
|
Latex, INFN-Na-IV-93/35,DSF-T-93/35
| null |
10.1103/PhysRevA.49.2993
| null |
hep-th
| null |
For one-mode light described by the Wigner function of generic Gaussian form
the photon distribution function is obtained explicitly and expressed in terms
of Hermite polynomials of two variables.The mean values and dispersions of
photon numbers are obtained for this generic %mixed state.Generating function
for photon distribution is discussed.Known partial cases of thermal
state,correlated state,squeezed state and coherent state are considered.The
connection of Schrodinger uncertainty relation for quadratures with photon
distribution is demonstrated explicitly.
|
[
{
"created": "Mon, 2 Aug 1993 18:15:00 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Aug 1993 18:33:00 GMT",
"version": "v2"
}
] |
2019-08-17
|
[
[
"Dodonov",
"V. V.",
""
],
[
"Man'ko",
"O. V.",
""
],
[
"Man'ko",
"V. I.",
""
]
] |
For one-mode light described by the Wigner function of generic Gaussian form the photon distribution function is obtained explicitly and expressed in terms of Hermite polynomials of two variables.The mean values and dispersions of photon numbers are obtained for this generic %mixed state.Generating function for photon distribution is discussed.Known partial cases of thermal state,correlated state,squeezed state and coherent state are considered.The connection of Schrodinger uncertainty relation for quadratures with photon distribution is demonstrated explicitly.
| 18.8561
| 17.498583
| 18.746885
| 15.698581
| 18.117393
| 14.85962
| 19.170361
| 17.120914
| 17.442085
| 19.617941
| 16.945484
| 17.625771
| 16.182379
| 16.292112
| 16.254908
| 15.790233
| 17.829926
| 16.515615
| 16.926083
| 16.223995
| 17.499289
|
hep-th/0408020
|
Saman Moghimi-Araghi
|
S. Moghimi-Araghi, M. A. Rajabpour, S. Rouhani
|
Logarithmic Conformal Null Vectors and SLE
|
5 pages, No figures, Refrences added
|
Phys.Lett. B600 (2004) 297-301
|
10.1016/j.physletb.2004.09.016
| null |
hep-th
| null |
Formal Loewner evolution is connected to conformal field theory. In this
letter we introduce an extension of Loewner evolution, which consists of two
coupled equations and connect the martingales of these equations to the null
vectors of logarithmic conformal field theory.
|
[
{
"created": "Tue, 3 Aug 2004 11:52:44 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Aug 2004 06:27:29 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Moghimi-Araghi",
"S.",
""
],
[
"Rajabpour",
"M. A.",
""
],
[
"Rouhani",
"S.",
""
]
] |
Formal Loewner evolution is connected to conformal field theory. In this letter we introduce an extension of Loewner evolution, which consists of two coupled equations and connect the martingales of these equations to the null vectors of logarithmic conformal field theory.
| 12.458734
| 10.86412
| 11.319008
| 10.26987
| 10.693472
| 10.083671
| 9.791908
| 10.405267
| 11.071721
| 14.72821
| 9.561695
| 10.994987
| 11.358677
| 10.291877
| 10.723264
| 11.196367
| 11.311384
| 9.859429
| 11.018538
| 10.733621
| 10.237378
|
hep-th/0105094
|
Richard Szabo
|
Edwin Langmann and Richard J. Szabo
|
Teleparallel Gravity and Dimensional Reductions of Noncommutative Gauge
Theory
|
31 pages LaTeX; References added
|
Phys.Rev. D64 (2001) 104019
|
10.1103/PhysRevD.64.104019
|
HWM-01-15, EMPG-01-05
|
hep-th gr-qc
| null |
We study dimensional reductions of noncommutative electrodynamics on flat
space which lead to gauge theories of gravitation. For a general class of such
reductions, we show that the noncommutative gauge fields naturally yield a
Weitzenbock geometry on spacetime and that the induced diffeomorphism invariant
field theory can be made equivalent to a teleparallel formulation of gravity
which macroscopically describes general relativity. The Planck length is
determined in this setting by the Yang-Mills coupling constant and the
noncommutativity scale. The effective field theory can also contain
higher-curvature and non-local terms which are characteristic of string theory.
Some applications to D-brane dynamics and generalizations to include the
coupling of ordinary Yang-Mills theory to gravity are also described.
|
[
{
"created": "Thu, 10 May 2001 16:42:16 GMT",
"version": "v1"
},
{
"created": "Fri, 25 May 2001 11:31:19 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Langmann",
"Edwin",
""
],
[
"Szabo",
"Richard J.",
""
]
] |
We study dimensional reductions of noncommutative electrodynamics on flat space which lead to gauge theories of gravitation. For a general class of such reductions, we show that the noncommutative gauge fields naturally yield a Weitzenbock geometry on spacetime and that the induced diffeomorphism invariant field theory can be made equivalent to a teleparallel formulation of gravity which macroscopically describes general relativity. The Planck length is determined in this setting by the Yang-Mills coupling constant and the noncommutativity scale. The effective field theory can also contain higher-curvature and non-local terms which are characteristic of string theory. Some applications to D-brane dynamics and generalizations to include the coupling of ordinary Yang-Mills theory to gravity are also described.
| 8.985029
| 9.026548
| 9.812799
| 8.493159
| 9.563967
| 9.385588
| 8.958041
| 8.639997
| 8.376537
| 9.718916
| 9.085336
| 8.610297
| 8.605786
| 8.806066
| 8.830222
| 8.824313
| 8.759882
| 8.989216
| 8.909155
| 9.059142
| 8.498521
|
0910.4963
|
Kyriakos Papadodimas
|
Kyriakos Papadodimas
|
Topological Anti-Topological Fusion in Four-Dimensional Superconformal
Field Theories
|
43 pages (29 pages + 4 appendices), 2 figures, harvmac, v2: fixed
typos, improved some derivations, numerical coefficients in tt* equations
corrected
|
JHEP 1008:118,2010
|
10.1007/JHEP08(2010)118
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present some new exact results for general four-dimensional superconformal
field theories. We derive differential equations governing the coupling
constant dependence of chiral primary correlators. For N=2 theories we show
that the Zamolodchikov metric on the moduli space and the operator mixing of
chiral primaries are quasi-topological quantities and constrained by
holomorphy. The equations that we find are the four-dimensional analogue of the
tt* equations in two-dimensions, discovered by the method of "topological
anti-topological fusion" by Cecotti and Vafa. Our analysis relies on conformal
perturbation theory and the superconformal Ward identities and does not use a
topological twist.
|
[
{
"created": "Tue, 27 Oct 2009 14:10:23 GMT",
"version": "v1"
},
{
"created": "Thu, 5 May 2011 13:32:39 GMT",
"version": "v2"
}
] |
2011-05-06
|
[
[
"Papadodimas",
"Kyriakos",
""
]
] |
We present some new exact results for general four-dimensional superconformal field theories. We derive differential equations governing the coupling constant dependence of chiral primary correlators. For N=2 theories we show that the Zamolodchikov metric on the moduli space and the operator mixing of chiral primaries are quasi-topological quantities and constrained by holomorphy. The equations that we find are the four-dimensional analogue of the tt* equations in two-dimensions, discovered by the method of "topological anti-topological fusion" by Cecotti and Vafa. Our analysis relies on conformal perturbation theory and the superconformal Ward identities and does not use a topological twist.
| 7.400711
| 6.915978
| 9.756563
| 7.099988
| 7.338702
| 7.619895
| 7.219133
| 7.241252
| 6.840081
| 9.141104
| 7.177109
| 7.224519
| 8.067285
| 7.189793
| 7.254319
| 7.301005
| 7.344361
| 6.776257
| 7.05827
| 7.676687
| 6.942479
|
2310.19946
|
Olaf Lechtenfeld
|
Lorenzo Casarin, Olaf Lechtenfeld, Maximilian Rupprecht
|
Nicolai maps with four-fermion interactions
|
1+12 pages; v2: minor corrections and clarifications, two diagrams
added in (3.25), matches published version
|
J. High Energ. Phys. 2023, 132 (2023)
| null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Nicolai maps offer an alternative description of supersymmetric theories via
nonlinear and nonlocal transformations characterized by the so-called
`free-action' and `determinant-matching' conditions. The latter expresses the
equality of the Jacobian determinant of the transformation with the one
obtained by integrating out the fermions, which so far have been considered
only to quadratic terms. We argue that such a restriction is not substantial,
as Nicolai maps can be constructed for arbitrary nonlinear sigma models, which
feature four-fermion interactions. The fermionic effective one-loop action then
gets generalized to higher loops and the perturbative tree expansion of such
Nicolai maps receives quantum corrections in the form of fermion loop
decorations. The `free-action condition' continues to hold for the classical
map, but the `determinant-matching condition' is extended to an infinite
hierarchy in fermion loop order. After general considerations for sigma models
in four dimensions, we specialize to the case of $\mathbb{C}\mathrm{P}^N$
symmetric spaces and construct the associated Nicolai map. These sigma models
admit a formulation with only quadratic fermions via an auxiliary vector field,
which does not simplify our analysis.
|
[
{
"created": "Mon, 30 Oct 2023 19:00:06 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Feb 2024 13:54:30 GMT",
"version": "v2"
}
] |
2024-02-12
|
[
[
"Casarin",
"Lorenzo",
""
],
[
"Lechtenfeld",
"Olaf",
""
],
[
"Rupprecht",
"Maximilian",
""
]
] |
Nicolai maps offer an alternative description of supersymmetric theories via nonlinear and nonlocal transformations characterized by the so-called `free-action' and `determinant-matching' conditions. The latter expresses the equality of the Jacobian determinant of the transformation with the one obtained by integrating out the fermions, which so far have been considered only to quadratic terms. We argue that such a restriction is not substantial, as Nicolai maps can be constructed for arbitrary nonlinear sigma models, which feature four-fermion interactions. The fermionic effective one-loop action then gets generalized to higher loops and the perturbative tree expansion of such Nicolai maps receives quantum corrections in the form of fermion loop decorations. The `free-action condition' continues to hold for the classical map, but the `determinant-matching condition' is extended to an infinite hierarchy in fermion loop order. After general considerations for sigma models in four dimensions, we specialize to the case of $\mathbb{C}\mathrm{P}^N$ symmetric spaces and construct the associated Nicolai map. These sigma models admit a formulation with only quadratic fermions via an auxiliary vector field, which does not simplify our analysis.
| 13.073433
| 12.449143
| 12.614601
| 11.760503
| 11.873923
| 12.109921
| 12.081826
| 11.951482
| 11.632921
| 13.493936
| 11.953188
| 10.946606
| 11.51787
| 11.426994
| 11.372964
| 11.324587
| 11.395546
| 11.152958
| 11.403057
| 11.88467
| 11.76201
|
hep-th/9110051
| null |
J. Luis Miramontes and Joaquin Sanchez Guillen
|
Instantons in the Quantum Framework of 2D Gravity
|
8 pages
|
Nucl. Phys. Proc. Suppl. A25 (1992) 195
| null | null |
hep-th
| null |
We analyze the non--perturbative features of 2D quantum gravity defined by
stochastic regularization of the unstable matrix model showing, first, that the
WKB approximation of the well-defined quantum Fokker-Planck hamiltonian
corresponds to the semiclassical eigenvalue density of the former. The double
scaled potential exhibits an instanton--like behaviour, which is universal and
scales, but whose interpretation in terms of pure gravity is still open.
|
[
{
"created": "Fri, 18 Oct 1991 09:20:37 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Oct 1991 13:02:54 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Miramontes",
"J. Luis",
""
],
[
"Guillen",
"Joaquin Sanchez",
""
]
] |
We analyze the non--perturbative features of 2D quantum gravity defined by stochastic regularization of the unstable matrix model showing, first, that the WKB approximation of the well-defined quantum Fokker-Planck hamiltonian corresponds to the semiclassical eigenvalue density of the former. The double scaled potential exhibits an instanton--like behaviour, which is universal and scales, but whose interpretation in terms of pure gravity is still open.
| 21.578825
| 19.379845
| 25.076004
| 17.672644
| 19.457157
| 20.476851
| 20.577541
| 17.285154
| 19.454342
| 26.399561
| 17.467064
| 19.196297
| 21.184355
| 19.224718
| 19.620501
| 18.875338
| 18.962143
| 19.362198
| 19.352179
| 22.218075
| 18.942696
|
hep-th/9205057
| null |
A.D'Adda
|
New Methods of Integration in Matrix Models
|
(7 pages)
|
Class.Quant.Grav.9:L77-L82,1992
|
10.1088/0264-9381/9/8/001
|
DFTT 21/92
|
hep-th
| null |
We discuss a new method of integration over matrix variables based on a
suitable gauge choice in which the angular variables decouple from the
eigenvalues at least for a class of two-matrix models. The calculation of
correlation functions involving angular variables is simple in this gauge.
Where the method is applicable it also gives an extremely simple proof of the
classical integration formula used to reduce multi-matrix models to an integral
over the eigenvalues.
|
[
{
"created": "Mon, 18 May 1992 12:07:00 GMT",
"version": "v1"
}
] |
2010-04-06
|
[
[
"D'Adda",
"A.",
""
]
] |
We discuss a new method of integration over matrix variables based on a suitable gauge choice in which the angular variables decouple from the eigenvalues at least for a class of two-matrix models. The calculation of correlation functions involving angular variables is simple in this gauge. Where the method is applicable it also gives an extremely simple proof of the classical integration formula used to reduce multi-matrix models to an integral over the eigenvalues.
| 12.752855
| 11.240601
| 11.358353
| 10.0548
| 11.479734
| 10.672991
| 11.068865
| 9.983406
| 10.362049
| 10.950436
| 10.41167
| 10.569913
| 11.585256
| 10.408914
| 10.55514
| 11.126926
| 10.65228
| 10.433778
| 10.791363
| 11.852912
| 10.662141
|
hep-th/9606181
|
Knaepen Bernard
|
Marc Henneaux, Bernard Knaepen, Christiane Schomblond
|
Characteristic cohomology of $p$-form gauge theories
|
Latex file, no figures, 44 pages
|
Commun.Math.Phys.186:137-165,1997
|
10.1007/BF02885676
|
ULB-TH-96/11
|
hep-th
| null |
The characteristic cohomology $H^k_{char}(d)$ for an arbitrary set of free
$p$-form gauge fields is explicitly worked out in all form degrees $k<n-1$,
where $n$ is the spacetime dimension. It is shown that this cohomology is
finite-dimensional and completely generated by the forms dual to the field
strengths. The gauge invariant characteristic cohomology is also computed. The
results are extended to interacting $p$-form gauge theories with gauge
invariant interactions. Implications for the BRST cohomology are mentioned.
|
[
{
"created": "Thu, 27 Jun 1996 18:23:17 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Henneaux",
"Marc",
""
],
[
"Knaepen",
"Bernard",
""
],
[
"Schomblond",
"Christiane",
""
]
] |
The characteristic cohomology $H^k_{char}(d)$ for an arbitrary set of free $p$-form gauge fields is explicitly worked out in all form degrees $k<n-1$, where $n$ is the spacetime dimension. It is shown that this cohomology is finite-dimensional and completely generated by the forms dual to the field strengths. The gauge invariant characteristic cohomology is also computed. The results are extended to interacting $p$-form gauge theories with gauge invariant interactions. Implications for the BRST cohomology are mentioned.
| 9.382865
| 6.971028
| 8.072489
| 7.285018
| 7.944073
| 7.573679
| 8.214766
| 6.953665
| 7.985367
| 8.414256
| 7.246418
| 7.69319
| 8.091706
| 7.608806
| 7.232374
| 7.780859
| 7.316579
| 7.540642
| 7.235566
| 8.012245
| 7.574495
|
hep-th/9301060
|
Amitabha Lahiri
|
Amitabha Lahiri
|
Generating Vector Boson Masses
|
7 pages (harvmac), LA-UR-92-3477
| null | null | null |
hep-th hep-ph
| null |
If the Higgs particle is never found, one will need an alternative theory for
vector boson masses. I propose such a theory involving an antisymmetric tensor
potential coupled to a gauge field.
|
[
{
"created": "Fri, 15 Jan 1993 20:20:35 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Lahiri",
"Amitabha",
""
]
] |
If the Higgs particle is never found, one will need an alternative theory for vector boson masses. I propose such a theory involving an antisymmetric tensor potential coupled to a gauge field.
| 15.107598
| 13.124154
| 12.915535
| 12.212669
| 14.54224
| 11.947844
| 13.397735
| 11.77891
| 12.026004
| 11.118753
| 14.065972
| 11.976331
| 12.856033
| 12.000467
| 11.948357
| 12.382122
| 12.050021
| 12.590245
| 12.523417
| 12.375789
| 12.32422
|
hep-th/0611085
|
Vadim Kaplunovsky
|
Edoardo Di Napoli and Vadim S. Kaplunovsky
|
Quantum Deconstruction of 5D SQCD
|
LaTeX+PStricks, 108 pages, 41 colored figures. Please print in color
|
JHEP 0703:092,2007
|
10.1088/1126-6708/2007/03/092
|
UTTG-13-06
|
hep-th
| null |
We deconstruct the fifth dimension of 5D SCQD with general numbers of colors
and flavors and general 5D Chern-Simons level; the latter is adjusted by adding
extra quarks to the 4D quiver. We use deconstruction as a non-stringy UV
completion of the quantum 5D theory; to prove its usefulness, we compute
quantum corrections to the SQCD_5 prepotential. We also explore the
moduli/parameter space of the deconstructed SQCD_5 and show that for |K_CS| <
N_F/2 it continues to negative values of 1/(g_5)^2. In many cases there are
flop transitions connecting SQCD_5 to exotic 5D theories such as E0, and we
present several examples of such transitions. We compare deconstruction to
brane-web engineering of the same SQCD_5 and show that the phase diagram is the
same in both cases; indeed, the two UV completions are in the same universality
class, although they are not dual to each other. Hence, the phase structure of
an SQCD_5 (and presumably any other 5D gauge theory) is inherently
five-dimensional and does not depends on a UV completion.
|
[
{
"created": "Wed, 8 Nov 2006 04:41:53 GMT",
"version": "v1"
}
] |
2010-10-27
|
[
[
"Di Napoli",
"Edoardo",
""
],
[
"Kaplunovsky",
"Vadim S.",
""
]
] |
We deconstruct the fifth dimension of 5D SCQD with general numbers of colors and flavors and general 5D Chern-Simons level; the latter is adjusted by adding extra quarks to the 4D quiver. We use deconstruction as a non-stringy UV completion of the quantum 5D theory; to prove its usefulness, we compute quantum corrections to the SQCD_5 prepotential. We also explore the moduli/parameter space of the deconstructed SQCD_5 and show that for |K_CS| < N_F/2 it continues to negative values of 1/(g_5)^2. In many cases there are flop transitions connecting SQCD_5 to exotic 5D theories such as E0, and we present several examples of such transitions. We compare deconstruction to brane-web engineering of the same SQCD_5 and show that the phase diagram is the same in both cases; indeed, the two UV completions are in the same universality class, although they are not dual to each other. Hence, the phase structure of an SQCD_5 (and presumably any other 5D gauge theory) is inherently five-dimensional and does not depends on a UV completion.
| 12.696251
| 12.061751
| 13.26867
| 12.194635
| 11.660286
| 11.928265
| 11.141644
| 11.411538
| 11.616106
| 14.095995
| 11.254248
| 11.482588
| 11.999322
| 11.293948
| 11.500536
| 11.491597
| 11.605811
| 11.692994
| 11.613517
| 11.890234
| 11.422437
|
1205.3291
|
Timothy J. Hollowood
|
Timothy J. Hollowood and Graham M. Shore
|
The Unbearable Beingness of Light, Dressing and Undressing Photons in
Black Hole Spacetimes
|
8 pages, Essay awarded third prize in the Gravity Research Foundation
essay competition 2012
|
International Journal of Modern Physics D Vol. 21, No. 11 (2012)
1241003
|
10.1142/S0218271812410039
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Gravitational tidal forces acting on the virtual e+ e- cloud surrounding a
photon endow spacetime with a non-trivial refractive index. This has remarkable
properties unique to gravitational theories including superluminal
low-frequency propagation, in apparent violation of causality, and
amplification of the renormalized photon field, in apparent violation of
unitarity. Using the geometry of null congruences and the Penrose limit, we
illustrate these phenomena and their resolution by tracing the history of a
photon as it falls into the near-singularity region of a black hole.
|
[
{
"created": "Tue, 15 May 2012 08:44:04 GMT",
"version": "v1"
}
] |
2012-06-20
|
[
[
"Hollowood",
"Timothy J.",
""
],
[
"Shore",
"Graham M.",
""
]
] |
Gravitational tidal forces acting on the virtual e+ e- cloud surrounding a photon endow spacetime with a non-trivial refractive index. This has remarkable properties unique to gravitational theories including superluminal low-frequency propagation, in apparent violation of causality, and amplification of the renormalized photon field, in apparent violation of unitarity. Using the geometry of null congruences and the Penrose limit, we illustrate these phenomena and their resolution by tracing the history of a photon as it falls into the near-singularity region of a black hole.
| 13.740877
| 13.228056
| 12.41474
| 11.155359
| 11.545836
| 12.449446
| 10.966116
| 11.447562
| 10.767847
| 13.204297
| 11.419169
| 11.841777
| 12.073372
| 11.919156
| 12.010015
| 12.389833
| 11.728719
| 12.537016
| 10.94794
| 11.90136
| 11.244688
|
hep-th/9701161
|
Giovanni Amelino-Camelia
|
G. Amelino-Camelia
|
KPZ Formulas for Weyl-Invariant Induced Gravity and Topologically
Massive Gravity
|
4 pages, LaTex. (Contribution to the Proceedings of the 2nd Topical
Meeting on Constrained Dynamics and Quantum Gravity.)
|
Nucl.Phys.Proc.Suppl. 57 (1997) 276-279
|
10.1016/S0920-5632(97)00403-9
|
OUTP-96-72P
|
hep-th
| null |
I discuss the applicability in Weyl-invariant induced gravity and
topologically massive gravity of certain formulas originally derived by
Knizhnik, Polyakov, and Zamolodchikov in the context of
diffeomorphism-invariant induced gravity.
|
[
{
"created": "Tue, 28 Jan 1997 15:32:11 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Amelino-Camelia",
"G.",
""
]
] |
I discuss the applicability in Weyl-invariant induced gravity and topologically massive gravity of certain formulas originally derived by Knizhnik, Polyakov, and Zamolodchikov in the context of diffeomorphism-invariant induced gravity.
| 7.965178
| 7.219079
| 9.161793
| 7.608735
| 7.738705
| 7.688178
| 8.912094
| 7.832733
| 7.003514
| 9.452137
| 8.239754
| 7.521876
| 8.658496
| 7.913819
| 7.908179
| 7.972853
| 7.51364
| 8.239296
| 8.042644
| 8.516031
| 7.451643
|
1307.7614
|
V. Parameswaran Nair
|
V.P. Nair
|
On the Gauge-invariant Functional Measure for Gauge Fields on CP^2
|
16 pages, affiliation added, typos corrected
|
Phys. Rev. D 88, 105027 (2013)
|
10.1103/PhysRevD.88.105027
|
CCNY-HEP 13/4
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We introduce a general parametrization for nonabelian gauge fields on the
four-dimensional space ${\mathbb{CP}}^2$. The volume element for the
gauge-orbit space or the space of physical configurations is then investigated.
The leading divergence in this volume element is obtained in terms of a higher
dimensional Wess-Zumino-Witten action, which has previously been studied in the
context of K\"ahler-Chern-Simons theories. This term, it is argued, implies
that one needs to introduce a dimensional parameter to specify the integration
measure, a step which is a nonperturbative version of the well-known
dimensional transmutation in four-dimensional gauge theories.
|
[
{
"created": "Mon, 29 Jul 2013 15:19:31 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Aug 2013 15:16:20 GMT",
"version": "v2"
}
] |
2013-12-04
|
[
[
"Nair",
"V. P.",
""
]
] |
We introduce a general parametrization for nonabelian gauge fields on the four-dimensional space ${\mathbb{CP}}^2$. The volume element for the gauge-orbit space or the space of physical configurations is then investigated. The leading divergence in this volume element is obtained in terms of a higher dimensional Wess-Zumino-Witten action, which has previously been studied in the context of K\"ahler-Chern-Simons theories. This term, it is argued, implies that one needs to introduce a dimensional parameter to specify the integration measure, a step which is a nonperturbative version of the well-known dimensional transmutation in four-dimensional gauge theories.
| 10.11703
| 10.2091
| 10.860308
| 10.268373
| 10.302163
| 10.721088
| 10.724634
| 9.995883
| 9.824042
| 10.710417
| 9.470325
| 9.458714
| 9.812259
| 9.544782
| 9.866924
| 9.877139
| 9.4438
| 9.658222
| 9.520459
| 10.196258
| 9.476242
|
hep-th/0201213
|
Ali Tayefeh Rezakhani
|
M.R. Setare and R. Mansouri
|
Casimir energy for self-interacting scalar field in a spherical shell
|
9 pages
| null | null | null |
hep-th
| null |
In this paper we calculate the Casimir energy for spherical shell with
massless self-interacting scalar filed which satisfying Dirichlet boundary
conditions on the shell. Using zeta function regularization and heat kernel
coefficients we obtain the divergent contributions inside and outside of
Casimir energy. The effect of self-interacting term is similar with existing of
mass for filed. In this case some divergent part arises. Using the
renormalization procedure of bag model we can cancel these divergent parts.
|
[
{
"created": "Sun, 27 Jan 2002 13:51:33 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Setare",
"M. R.",
""
],
[
"Mansouri",
"R.",
""
]
] |
In this paper we calculate the Casimir energy for spherical shell with massless self-interacting scalar filed which satisfying Dirichlet boundary conditions on the shell. Using zeta function regularization and heat kernel coefficients we obtain the divergent contributions inside and outside of Casimir energy. The effect of self-interacting term is similar with existing of mass for filed. In this case some divergent part arises. Using the renormalization procedure of bag model we can cancel these divergent parts.
| 11.321712
| 10.262341
| 10.588915
| 10.051744
| 10.491533
| 10.77035
| 10.606006
| 9.998586
| 10.714058
| 10.671212
| 10.16865
| 10.220129
| 11.064825
| 10.198076
| 10.229815
| 10.148139
| 10.631556
| 9.840081
| 10.198684
| 11.105867
| 10.165208
|
0907.5122
|
Nikolaos Mavromatos
|
Nick E. Mavromatos, Sarben Sarkar and Walter Tarantino
|
Flavour Condensates in Brane Models and Dark Energy
|
19 pages revtex, three eps figures incorporated
|
Phys.Rev.D80:084046,2009
|
10.1103/PhysRevD.80.084046
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the context of a microscopic model of string-inspired foam, in which foamy
structures are provided by brany point-like defects (D-particles) in
space-time, we discuss flavour mixing as a result of flavour non-preserving
interactions of (low-energy) fermionic stringy matter excitations with the
defects. Such interactions involve splitting and capture of the matter string
state by the defect, and subsequent re-emission. Quantum fluctuations of the
D-particles induce a non-trivial space-time background; in some circumstances
this could be akin to a cosmological Friedman-Robertson Walker
expanding-Universe, with weak (but non-zero) particle production. Furthermore
the D-particle medium can induce an MSW type effect. We have argued previously,
in the context of bosons, that the so-called flavour vacuum is the appropriate
state to be used, at least for low-energy excitations, with energies/momenta up
to a dynamically determined cutoff scale. In this work we evaluate the
flavour-vacuum expectation value (condensate) of the stress-energy tensor of
the (1/2)-spin fields with mixing in an effective low-energy Quantum Field
Theory in this foam-induced curved space-time. We demonstrate, at late epochs
of the Universe, that the fermionic vacuum condensate behaves as a fluid with
negative pressure and positive energy, but alone it cannot lead to present-day
accelerating Universes. One needs flavoured boson contributions for this
purpose.
|
[
{
"created": "Wed, 29 Jul 2009 14:29:15 GMT",
"version": "v1"
}
] |
2009-11-05
|
[
[
"Mavromatos",
"Nick E.",
""
],
[
"Sarkar",
"Sarben",
""
],
[
"Tarantino",
"Walter",
""
]
] |
In the context of a microscopic model of string-inspired foam, in which foamy structures are provided by brany point-like defects (D-particles) in space-time, we discuss flavour mixing as a result of flavour non-preserving interactions of (low-energy) fermionic stringy matter excitations with the defects. Such interactions involve splitting and capture of the matter string state by the defect, and subsequent re-emission. Quantum fluctuations of the D-particles induce a non-trivial space-time background; in some circumstances this could be akin to a cosmological Friedman-Robertson Walker expanding-Universe, with weak (but non-zero) particle production. Furthermore the D-particle medium can induce an MSW type effect. We have argued previously, in the context of bosons, that the so-called flavour vacuum is the appropriate state to be used, at least for low-energy excitations, with energies/momenta up to a dynamically determined cutoff scale. In this work we evaluate the flavour-vacuum expectation value (condensate) of the stress-energy tensor of the (1/2)-spin fields with mixing in an effective low-energy Quantum Field Theory in this foam-induced curved space-time. We demonstrate, at late epochs of the Universe, that the fermionic vacuum condensate behaves as a fluid with negative pressure and positive energy, but alone it cannot lead to present-day accelerating Universes. One needs flavoured boson contributions for this purpose.
| 15.831728
| 16.590469
| 17.072535
| 15.105672
| 15.261087
| 15.710155
| 15.576394
| 15.435677
| 15.303148
| 16.888445
| 14.578392
| 14.980315
| 15.750149
| 15.105132
| 15.272032
| 15.254313
| 15.253263
| 15.205251
| 14.885675
| 15.676824
| 14.883224
|
hep-th/9709203
|
Akifumi Sako
|
A.Sako
|
Reducible Connections in Massless Topological QCD and 4-manifolds
|
23 pages, Latex, Some mistakes and typographical errors are revised
in it. Especially, results written in section 4 are changed
|
Nucl.Phys. B522 (1998) 373-395
|
10.1016/S0550-3213(98)00191-6
|
EPHOU-97-008
|
hep-th alg-geom math.AG
| null |
A role of reducible connections in Non-Abelian Seiberg-Witten invariants is
analyzed with massless Topological QCD where monopole is extended to
non-Abelian groups version. By giving small external fields, we found that
vacuum expectation value can be separated into a part from Donaldson theory, a
part from Abelian Monopole theory and a part from non-Abelian monopole theory.
As a by-product, we find identities of U(1) topological invariants. In our
proof, the duality relation and Higgs mechanism are not necessary.
|
[
{
"created": "Mon, 29 Sep 1997 12:14:31 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Oct 1997 10:29:59 GMT",
"version": "v2"
},
{
"created": "Thu, 27 Nov 1997 09:20:41 GMT",
"version": "v3"
}
] |
2009-10-30
|
[
[
"Sako",
"A.",
""
]
] |
A role of reducible connections in Non-Abelian Seiberg-Witten invariants is analyzed with massless Topological QCD where monopole is extended to non-Abelian groups version. By giving small external fields, we found that vacuum expectation value can be separated into a part from Donaldson theory, a part from Abelian Monopole theory and a part from non-Abelian monopole theory. As a by-product, we find identities of U(1) topological invariants. In our proof, the duality relation and Higgs mechanism are not necessary.
| 16.86422
| 16.696535
| 17.404099
| 15.300978
| 14.784449
| 15.13787
| 14.910377
| 15.081177
| 15.666923
| 18.116953
| 15.606051
| 15.187613
| 16.225372
| 14.656492
| 15.056293
| 14.722829
| 14.757764
| 14.863965
| 14.911849
| 15.615498
| 14.197422
|
hep-th/9112041
|
Kanehisa Takasaki
|
Kanehisa Takasaki
|
Area-Preserving Diffeomorphisms and Nonlinear Integrable Systems
|
16 pages
| null | null | null |
hep-th nlin.SI solv-int
| null |
Present state of the study of nonlinear ``integrable" systems related to the
group of area-preserving diffeomorphisms on various surfaces is overviewed.
Roles of area-preserving diffeomorphisms in 4-d self-dual gravity are reviewed.
Recent progress in new members of this family, the SDiff(2) KP and Toda
hierarchies, is reported. The group of area-preserving diffeomorphisms on a
cylinder plays a key role just as the infinite matrix group GL($\infty$) does
in the ordinary KP and Toda lattice hierarchies. The notion of tau functions is
also shown to persist in these hierarchies, and gives rise to a central
extension of the corresponding Lie algebra.
|
[
{
"created": "Tue, 17 Dec 1991 07:35:26 GMT",
"version": "v1"
}
] |
2008-02-03
|
[
[
"Takasaki",
"Kanehisa",
""
]
] |
Present state of the study of nonlinear ``integrable" systems related to the group of area-preserving diffeomorphisms on various surfaces is overviewed. Roles of area-preserving diffeomorphisms in 4-d self-dual gravity are reviewed. Recent progress in new members of this family, the SDiff(2) KP and Toda hierarchies, is reported. The group of area-preserving diffeomorphisms on a cylinder plays a key role just as the infinite matrix group GL($\infty$) does in the ordinary KP and Toda lattice hierarchies. The notion of tau functions is also shown to persist in these hierarchies, and gives rise to a central extension of the corresponding Lie algebra.
| 9.332006
| 8.525964
| 9.464954
| 8.777001
| 9.259489
| 9.56717
| 9.369202
| 8.737501
| 8.944869
| 10.671744
| 8.127461
| 8.689873
| 8.73313
| 8.534904
| 8.070649
| 8.731812
| 8.438437
| 8.713369
| 8.536821
| 8.978121
| 8.578939
|
hep-th/0407165
|
Hitoshi Nishino
|
Hitoshi Nishino and Subhash Rajpoot
|
Self-Dual Vector Multiplet in 3D with Gauged Scale Covariance
|
Latex file, 13 pages, no figures, Ref. [12] updated
|
JHEP0412:014,2004
|
10.1088/1126-6708/2004/12/014
|
CSULB-PA-04-4
|
hep-th
| null |
We present non-trivial interactions of N=1 self-dual massive vector multiplet
in three-dimensions, with gauged scale covariance. Our multiplets are a vector
multiplet (A_\mu, \lambda) and a gauge multiplet (B_\mu, \chi), where the
latter is used for the gauging of the scale covariance of the former. Due tothe
absence of supergravity, this system has no lagrangian formulation, but has
only a set of field equations. The gauge multiplet can also have
Dirac-Born-Infeld type interactions, even in the presence of the massive
self-dual vector multiplet. As a by-product, we also show that scale covariant
couplings are possible for scalar multiplet. We also try a mechanism of
spontaneous breaking of scale covariance by introducing a superpotential for
scalar multiplets.
|
[
{
"created": "Tue, 20 Jul 2004 01:55:23 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Oct 2004 23:07:08 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Nishino",
"Hitoshi",
""
],
[
"Rajpoot",
"Subhash",
""
]
] |
We present non-trivial interactions of N=1 self-dual massive vector multiplet in three-dimensions, with gauged scale covariance. Our multiplets are a vector multiplet (A_\mu, \lambda) and a gauge multiplet (B_\mu, \chi), where the latter is used for the gauging of the scale covariance of the former. Due tothe absence of supergravity, this system has no lagrangian formulation, but has only a set of field equations. The gauge multiplet can also have Dirac-Born-Infeld type interactions, even in the presence of the massive self-dual vector multiplet. As a by-product, we also show that scale covariant couplings are possible for scalar multiplet. We also try a mechanism of spontaneous breaking of scale covariance by introducing a superpotential for scalar multiplets.
| 8.710571
| 8.050358
| 8.879152
| 7.781269
| 8.067421
| 7.673644
| 8.228775
| 7.938253
| 7.747365
| 8.979068
| 8.032454
| 7.896773
| 8.535513
| 8.146361
| 8.336031
| 8.290414
| 8.0354
| 8.05154
| 7.971162
| 8.382022
| 7.899577
|
2209.04866
|
Dimitrios Giataganas
|
Vangelis Giantsos, Dimitrios Giataganas
|
Holographic Non-local Rotating Observables and their Renormalization
|
1+28 pages
| null |
10.1103/PhysRevD.106.126012
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyse non-local rotating observables in holography corresponding to
spinning bound states. To renormalize their energies and momenta we suggest and
discuss different holographic renormalization schemes motivated by the static
non-local observables. Namely the holographic renormalization and the rotating
color singlet mass subtraction scheme. In the holographic renormalization we
identify the infinite boundary terms and subtract them. In the mass subtraction
scheme we evaluate the energy of a spinning trailing string corresponding to
the color charged singlet which experiences dragging phenomena and we subtract
it from the energy of the bound state to obtain the renormalized finite energy.
Then we apply our generic framework to certain strongly coupled thermal
theories with broken rotational symmetry. We find numerical solutions
corresponding to spinning bound states with a fixed size while varying their
angular frequency. By applying numerically the renormalization schemes, we find
that there is a critical frequency where the bound state ceases to exist or
dissociates. We also note that bound states require lower angular frequencies
to dissociate when the theory has less symmetry.
|
[
{
"created": "Sun, 11 Sep 2022 13:51:40 GMT",
"version": "v1"
}
] |
2023-01-04
|
[
[
"Giantsos",
"Vangelis",
""
],
[
"Giataganas",
"Dimitrios",
""
]
] |
We analyse non-local rotating observables in holography corresponding to spinning bound states. To renormalize their energies and momenta we suggest and discuss different holographic renormalization schemes motivated by the static non-local observables. Namely the holographic renormalization and the rotating color singlet mass subtraction scheme. In the holographic renormalization we identify the infinite boundary terms and subtract them. In the mass subtraction scheme we evaluate the energy of a spinning trailing string corresponding to the color charged singlet which experiences dragging phenomena and we subtract it from the energy of the bound state to obtain the renormalized finite energy. Then we apply our generic framework to certain strongly coupled thermal theories with broken rotational symmetry. We find numerical solutions corresponding to spinning bound states with a fixed size while varying their angular frequency. By applying numerically the renormalization schemes, we find that there is a critical frequency where the bound state ceases to exist or dissociates. We also note that bound states require lower angular frequencies to dissociate when the theory has less symmetry.
| 14.803792
| 16.061987
| 14.236556
| 13.938019
| 14.616825
| 15.604113
| 15.163918
| 14.76994
| 13.998997
| 18.071617
| 14.727073
| 14.589521
| 15.401875
| 14.911236
| 15.011521
| 14.338838
| 14.232259
| 14.620781
| 14.718128
| 15.570673
| 14.403956
|
1504.06027
|
Manoel Messias Ferreira Junior
|
R. Casana, M. M. Ferreira Jr, V. E. Mouchrek-Santos, Edilberto O.
Silva
|
Generation of geometrical phases and persistent spin currents in
1-dimensional rings by Lorentz-violating terms
|
8 pages, revtex, two columns, final and revised version published in
Phys.Lett.B (2015)
|
Physics Letters B 746, 171 (2015)
|
10.1016/j.physletb.2015.04.053
| null |
hep-th cond-mat.mes-hall
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We have demonstrated that Lorentz-violating terms stemming from the fermion
sector of the SME are able to generate geometrical phases on the wave function
of electrons confined in 1-dimensional rings, as well as persistent spin
currents, in the total absence of electromagnetic fields. We have explicitly
evaluated the eigenenergies and eigenspinors of the electrons modified by the
Lorentz-violating terms, using them to calculate the dynamic and the
Aharonov-Anandan phases in the sequel. The total phase presents a pattern very
similar to the Aharonov-Casher phase accumulated by electrons in rings under
the action of the Rashba interaction. Finally, the persistent spin current were
carried out and used to impose upper bounds on the Lorentz-violating
parameters.
|
[
{
"created": "Thu, 23 Apr 2015 02:47:34 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Jul 2015 04:25:52 GMT",
"version": "v2"
}
] |
2015-07-02
|
[
[
"Casana",
"R.",
""
],
[
"Ferreira",
"M. M.",
"Jr"
],
[
"Mouchrek-Santos",
"V. E.",
""
],
[
"Silva",
"Edilberto O.",
""
]
] |
We have demonstrated that Lorentz-violating terms stemming from the fermion sector of the SME are able to generate geometrical phases on the wave function of electrons confined in 1-dimensional rings, as well as persistent spin currents, in the total absence of electromagnetic fields. We have explicitly evaluated the eigenenergies and eigenspinors of the electrons modified by the Lorentz-violating terms, using them to calculate the dynamic and the Aharonov-Anandan phases in the sequel. The total phase presents a pattern very similar to the Aharonov-Casher phase accumulated by electrons in rings under the action of the Rashba interaction. Finally, the persistent spin current were carried out and used to impose upper bounds on the Lorentz-violating parameters.
| 9.647096
| 10.403843
| 10.520609
| 9.136955
| 10.750775
| 9.385641
| 10.687324
| 9.878175
| 8.962379
| 11.062335
| 9.751936
| 9.402379
| 9.888082
| 9.316638
| 9.152606
| 9.076327
| 9.41695
| 9.285053
| 9.415621
| 9.72102
| 9.23684
|
hep-th/0211020
|
Mattias N. R. Wohlfarth
|
Joaquim Gomis, Paul K. Townsend, Mattias N.R. Wohlfarth
|
The `s-rule' exclusion principle and vacuum interpolation in worldvolume
dynamics
|
25 pages, 9 figures, LaTeX JHEP style
|
JHEP 0212 (2002) 027
|
10.1088/1126-6708/2002/12/027
|
DAMTP-2002-131
|
hep-th
| null |
We show how the worldvolume realization of the Hanany-Witten effect for a
supersymmetric D5-brane in a D3 background also provides a classical
realization of the `s-rule' exclusion principle. Despite the supersymmetry, the
force on the D5-brane vanishes only in the D5 `ground state', which is shown to
interpolate between 6-dimensional Minkowski space and an $OSp(4^*|4)$-invariant
$adS_2\times S^4$ geometry. The M-theory analogue of these results is briefly
discussed.
|
[
{
"created": "Mon, 4 Nov 2002 19:24:41 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Gomis",
"Joaquim",
""
],
[
"Townsend",
"Paul K.",
""
],
[
"Wohlfarth",
"Mattias N. R.",
""
]
] |
We show how the worldvolume realization of the Hanany-Witten effect for a supersymmetric D5-brane in a D3 background also provides a classical realization of the `s-rule' exclusion principle. Despite the supersymmetry, the force on the D5-brane vanishes only in the D5 `ground state', which is shown to interpolate between 6-dimensional Minkowski space and an $OSp(4^*|4)$-invariant $adS_2\times S^4$ geometry. The M-theory analogue of these results is briefly discussed.
| 10.759732
| 8.833483
| 10.752513
| 8.643014
| 9.576269
| 9.09547
| 9.196216
| 8.940136
| 8.651385
| 12.047413
| 9.375725
| 8.599034
| 10.236245
| 9.075248
| 9.001529
| 8.911594
| 9.119115
| 9.140781
| 9.015133
| 10.05091
| 8.92303
|
1810.01379
|
Futoshi Yagi
|
Santiago Cabrera, Amihay Hanany, Futoshi Yagi
|
Tropical Geometry and Five Dimensional Higgs Branches at Infinite
Coupling
|
49 pages
| null |
10.1007/JHEP01(2019)068
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Superconformal five dimensional theories have a rich structure of phases and
brane webs play a crucial role in studying their properties. This paper is
devoted to the study of a three parameter family of SQCD theories, given by the
number of colors $N_c$ for an $SU(N_c)$ gauge theory, number of fundamental
flavors $N_f$, and the Chern Simons level $k$. The study of their infinite
coupling Higgs branch is a long standing problem and reveals a rich pattern of
moduli spaces, depending on the 3 values in a critical way. For a generic
choice of the parameters we find a surprising number of 3 different components,
with intersections that are closures of height 2 nilpotent orbits of the flavor
symmetry. This is in contrast to previous studies where except for one case
($N_c=2, N_f=2$), the parameters were restricted to the cases of Higgs branches
that have only one component. The new feature is achieved thanks to a concept
in tropical geometry which is called stable intersection and allows for a
computation of the Higgs branch to almost all the cases which were previously
unknown for this three parameter family apart form certain small number of
exceptional theories with low rank gauge group. A crucial feature in the
construction of the Higgs branch is the notion of dressed monopole operators.
|
[
{
"created": "Tue, 2 Oct 2018 17:24:47 GMT",
"version": "v1"
}
] |
2019-01-30
|
[
[
"Cabrera",
"Santiago",
""
],
[
"Hanany",
"Amihay",
""
],
[
"Yagi",
"Futoshi",
""
]
] |
Superconformal five dimensional theories have a rich structure of phases and brane webs play a crucial role in studying their properties. This paper is devoted to the study of a three parameter family of SQCD theories, given by the number of colors $N_c$ for an $SU(N_c)$ gauge theory, number of fundamental flavors $N_f$, and the Chern Simons level $k$. The study of their infinite coupling Higgs branch is a long standing problem and reveals a rich pattern of moduli spaces, depending on the 3 values in a critical way. For a generic choice of the parameters we find a surprising number of 3 different components, with intersections that are closures of height 2 nilpotent orbits of the flavor symmetry. This is in contrast to previous studies where except for one case ($N_c=2, N_f=2$), the parameters were restricted to the cases of Higgs branches that have only one component. The new feature is achieved thanks to a concept in tropical geometry which is called stable intersection and allows for a computation of the Higgs branch to almost all the cases which were previously unknown for this three parameter family apart form certain small number of exceptional theories with low rank gauge group. A crucial feature in the construction of the Higgs branch is the notion of dressed monopole operators.
| 11.275345
| 11.40693
| 13.237394
| 11.143411
| 11.981021
| 11.522
| 12.320741
| 11.566925
| 11.664257
| 14.643931
| 11.375222
| 11.038692
| 12.358781
| 11.086557
| 10.77007
| 10.858343
| 11.068707
| 11.19955
| 10.983019
| 11.808916
| 11.007341
|
2102.05781
|
Andreas Fring
|
Francisco Correa, Andreas Fring and Takanobu Taira
|
Complex BPS Skyrmions with real energy
|
21 pages, 7 figures
|
Nuclear Physics B 971 (2021) 115516
|
10.1016/j.nuclphysb.2021.115516
| null |
hep-th math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
We propose and investigate several complex versions of extensions and
restrictions of the Skyrme model with a well-defined
Bogomolny-Prasad-Sommerfield (BPS) limit. The models studied possess complex
kink, anti-kink, semi-kink, massless and purely imaginary compacton BPS
solutions that all have real energies. The reality of the energies for a
particular solution is guaranteed when a modified antilinear CPT-symmetry maps
the Hamiltonian functional to its parity time-reversed complex conjugate and
the solution field to itself or a new field with degenerate energy. In addition
to the known BPS Skyrmion configurations we find new types that we refer to as
step, cusp, shell, and purely imaginary compacton solutions.
|
[
{
"created": "Wed, 10 Feb 2021 23:47:14 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Feb 2021 20:56:36 GMT",
"version": "v2"
}
] |
2021-08-13
|
[
[
"Correa",
"Francisco",
""
],
[
"Fring",
"Andreas",
""
],
[
"Taira",
"Takanobu",
""
]
] |
We propose and investigate several complex versions of extensions and restrictions of the Skyrme model with a well-defined Bogomolny-Prasad-Sommerfield (BPS) limit. The models studied possess complex kink, anti-kink, semi-kink, massless and purely imaginary compacton BPS solutions that all have real energies. The reality of the energies for a particular solution is guaranteed when a modified antilinear CPT-symmetry maps the Hamiltonian functional to its parity time-reversed complex conjugate and the solution field to itself or a new field with degenerate energy. In addition to the known BPS Skyrmion configurations we find new types that we refer to as step, cusp, shell, and purely imaginary compacton solutions.
| 18.757612
| 19.519829
| 19.151857
| 18.185534
| 20.116558
| 18.137094
| 19.395035
| 17.905121
| 16.989017
| 23.229736
| 17.693314
| 19.294876
| 18.437431
| 17.742857
| 18.569172
| 18.313946
| 18.618259
| 17.957586
| 18.364193
| 18.568531
| 18.624046
|
hep-th/9605046
|
Dr N. Mavromatos
|
J. Ellis, N.E. Mavromatos and D.V. Nanopoulos
|
D Branes from Liouville Strings
|
36 pages LATEX (Version to be published in Int. J. Mod. Phys. A with
Note Added setting more recent papers on the quantum hair of $D$ branes in
the context of our previous work)
|
Int.J.Mod.Phys.A12:2639-2674,1997
|
10.1142/S0217751X97001481
|
ACT-04/96,CERN-TH/96-81,CTP-TAMU-11/96,OUTP-96-15P
|
hep-th gr-qc
| null |
We develop quantization aspects of our Liouville approach to non-critical
strings, proposing a path-integral formulation of a second quantization of
string theory, that incorporates naturally the couplings of string sources to
background fields. Such couplings are characteristic of macroscopic string
solutions and/or $D$-brane theories. Resummation over world-sheet genera in the
presence of stringy ($\sigma$-model) soliton backgrounds, and recoil effects
associated with logarithmic operators on the world sheet, play a crucial r\^ole
in inducing such sources as well-defined renormalization-group counterterms.
Using our Liouville renormalization group approach, we derive the appropriate
second-order equation of motion for the $D$ brane. We discuss within this
approach the appearance of open strings, whose ends carry non-trivial
Chan-Paton-like quantum numbers related to the $W_\infty$ charges of
two-dimensional string black holes.
|
[
{
"created": "Tue, 7 May 1996 17:12:47 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Jun 1996 10:50:42 GMT",
"version": "v2"
}
] |
2009-09-11
|
[
[
"Ellis",
"J.",
""
],
[
"Mavromatos",
"N. E.",
""
],
[
"Nanopoulos",
"D. V.",
""
]
] |
We develop quantization aspects of our Liouville approach to non-critical strings, proposing a path-integral formulation of a second quantization of string theory, that incorporates naturally the couplings of string sources to background fields. Such couplings are characteristic of macroscopic string solutions and/or $D$-brane theories. Resummation over world-sheet genera in the presence of stringy ($\sigma$-model) soliton backgrounds, and recoil effects associated with logarithmic operators on the world sheet, play a crucial r\^ole in inducing such sources as well-defined renormalization-group counterterms. Using our Liouville renormalization group approach, we derive the appropriate second-order equation of motion for the $D$ brane. We discuss within this approach the appearance of open strings, whose ends carry non-trivial Chan-Paton-like quantum numbers related to the $W_\infty$ charges of two-dimensional string black holes.
| 15.997907
| 14.668496
| 16.012281
| 14.713551
| 14.927052
| 14.363537
| 15.098118
| 14.568229
| 14.561419
| 17.276495
| 14.42643
| 15.222898
| 15.693892
| 14.977744
| 15.15257
| 15.178473
| 15.671712
| 15.569763
| 15.479971
| 15.767303
| 15.170235
|
1702.04350
|
Adolfo del Campo
|
A. del Campo, J. Molina-Vilaplana, J. Sonner
|
Scrambling the spectral form factor: unitarity constraints and exact
results
|
33 pages, 6 figures, published version
|
Phys. Rev. D 95, 126008 (2017)
|
10.1103/PhysRevD.95.126008
| null |
hep-th cond-mat.stat-mech quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Quantum speed limits set an upper bound to the rate at which a quantum system
can evolve and as such can be used to analyze the scrambling of information. To
this end, we consider the survival probability of a thermofield double state
under unitary time-evolution which is related to the analytic continuation of
the partition function. We provide an exponential lower bound to the survival
probability with a rate governed by the inverse of the energy fluctuations of
the initial state. Further, we elucidate universal features of the
non-exponential behavior at short and long times of evolution that follow from
the analytic properties of the survival probability and its Fourier transform,
both for systems with a continuous and a discrete energy spectrum. We find the
spectral form factor in a number of illustrative models, notably we obtain the
exact answer in the Gaussian unitary ensemble for any $N$ with excellent
agreement with recent numerical studies. We also discuss the relationship of
our findings to models of black hole information loss, such as the
Sachdev-Ye-Kitaev model dual to AdS$_2$ as well as higher-dimensional versions
of AdS/CFT.
|
[
{
"created": "Tue, 14 Feb 2017 19:00:00 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Jul 2017 12:43:06 GMT",
"version": "v2"
}
] |
2017-07-27
|
[
[
"del Campo",
"A.",
""
],
[
"Molina-Vilaplana",
"J.",
""
],
[
"Sonner",
"J.",
""
]
] |
Quantum speed limits set an upper bound to the rate at which a quantum system can evolve and as such can be used to analyze the scrambling of information. To this end, we consider the survival probability of a thermofield double state under unitary time-evolution which is related to the analytic continuation of the partition function. We provide an exponential lower bound to the survival probability with a rate governed by the inverse of the energy fluctuations of the initial state. Further, we elucidate universal features of the non-exponential behavior at short and long times of evolution that follow from the analytic properties of the survival probability and its Fourier transform, both for systems with a continuous and a discrete energy spectrum. We find the spectral form factor in a number of illustrative models, notably we obtain the exact answer in the Gaussian unitary ensemble for any $N$ with excellent agreement with recent numerical studies. We also discuss the relationship of our findings to models of black hole information loss, such as the Sachdev-Ye-Kitaev model dual to AdS$_2$ as well as higher-dimensional versions of AdS/CFT.
| 7.942075
| 7.958921
| 8.566638
| 7.496248
| 8.366915
| 8.12819
| 8.305964
| 8.18777
| 7.951095
| 9.126705
| 7.920845
| 7.585148
| 7.952648
| 7.795405
| 7.791032
| 8.009326
| 7.84839
| 7.942501
| 7.773507
| 7.847202
| 7.784307
|
1607.05405
|
Amitabh Virmani
|
Pratik Roy, Yogesh K. Srivastava, Amitabh Virmani
|
Hair on non-extremal D1-D5 bound states
|
24 pages, no figures; v2: footnotes added; v3: JHEP version; v4:
results unchanged, app B removed, a footnote added, supersedes published
version
|
JHEP 09 (2016) 145
|
10.1007/JHEP09(2016)145
|
IP-BBSR-2016-7
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a truncation of type IIB supergravity on four-torus where in
addition to the Ramond-Ramond 2-form field, the Ramond-Ramond axion (w) and the
NS-NS 2-form field (B) are also retained. In the (w, B) sector we construct a
linearised perturbation carrying only left moving momentum on two-charge
non-extremal D1-D5 geometries of Jejjala, Madden, Ross and Titchener. The
perturbation is found to be smooth everywhere and normalizable. It is
constructed by matching to leading order solutions of the perturbation
equations in the inner and outer regions of the geometry.
|
[
{
"created": "Tue, 19 Jul 2016 05:28:26 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Aug 2016 13:38:04 GMT",
"version": "v2"
},
{
"created": "Mon, 3 Oct 2016 10:06:35 GMT",
"version": "v3"
},
{
"created": "Fri, 28 Apr 2017 12:10:59 GMT",
"version": "v4"
}
] |
2017-05-01
|
[
[
"Roy",
"Pratik",
""
],
[
"Srivastava",
"Yogesh K.",
""
],
[
"Virmani",
"Amitabh",
""
]
] |
We consider a truncation of type IIB supergravity on four-torus where in addition to the Ramond-Ramond 2-form field, the Ramond-Ramond axion (w) and the NS-NS 2-form field (B) are also retained. In the (w, B) sector we construct a linearised perturbation carrying only left moving momentum on two-charge non-extremal D1-D5 geometries of Jejjala, Madden, Ross and Titchener. The perturbation is found to be smooth everywhere and normalizable. It is constructed by matching to leading order solutions of the perturbation equations in the inner and outer regions of the geometry.
| 7.714227
| 6.733782
| 9.143853
| 6.552702
| 6.680911
| 6.48825
| 7.406775
| 6.587598
| 6.876282
| 11.617056
| 7.138623
| 6.709426
| 7.931092
| 6.802231
| 6.640379
| 6.919799
| 6.557403
| 6.79211
| 6.713543
| 8.001245
| 6.968161
|
1011.1849
|
Marcelo B. Hott
|
R. A. C. Correa, A. de Souza Dutra, M. B. Hott
|
Fermion localization on degenerate and critical branes
|
16 pages, 6 figures
|
Class.Quant.Grav.28:155012,2011
|
10.1088/0264-9381/28/15/155012
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we analyze the localization of fermions on degenerate and
critical Bloch branes. This is done directly on physical coordinates, in
constrast to some works that has been using conformal coordinates. We find the
range of coupling constants of the interaction of fermions with the scalar
fields that allow us to have normalizable fermion zero-mode localized on the
brane on both, critical and degenerate Bloch branes. In the case of critical
branes our results agree with those found in [Class. Quantum Grav. \textbf{27}
(2010) 185001]. The results on fermion localization on degenerate Bloch branes
are new. We also propose a coupling of fermions to the scalar fields which
leads to localization of massless fermion on both sides of a double-brane.
|
[
{
"created": "Mon, 8 Nov 2010 16:55:19 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Mar 2011 20:17:18 GMT",
"version": "v2"
}
] |
2011-07-01
|
[
[
"Correa",
"R. A. C.",
""
],
[
"Dutra",
"A. de Souza",
""
],
[
"Hott",
"M. B.",
""
]
] |
In this work we analyze the localization of fermions on degenerate and critical Bloch branes. This is done directly on physical coordinates, in constrast to some works that has been using conformal coordinates. We find the range of coupling constants of the interaction of fermions with the scalar fields that allow us to have normalizable fermion zero-mode localized on the brane on both, critical and degenerate Bloch branes. In the case of critical branes our results agree with those found in [Class. Quantum Grav. \textbf{27} (2010) 185001]. The results on fermion localization on degenerate Bloch branes are new. We also propose a coupling of fermions to the scalar fields which leads to localization of massless fermion on both sides of a double-brane.
| 8.39338
| 7.945473
| 7.915977
| 7.263113
| 7.333949
| 7.773379
| 8.243029
| 7.091048
| 7.282226
| 7.931253
| 6.933077
| 7.058664
| 7.732504
| 7.066795
| 7.034301
| 7.169005
| 7.422981
| 6.938869
| 7.08602
| 7.535362
| 7.221274
|
1810.02345
|
K. Sravan Kumar
|
K. Sravan Kumar and Leonardo Modesto
|
Non-local Starobinsky inflation in the light of future CMB
|
15 pages, 5 figures
| null | null | null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Analytic infinite derivative (AID) non-local quadratic curvature gravity in
Weyl basis is known to be ghost free, superrenormalizable or finite and
perturbatively Unitary and as such it is Ultra-Violet (UV) complete. Recently
$R+R^2$ ("Starobinsky") inflation was successfully embedded in AID non-local
gravity and the corresponding observables were computed. Here in this paper, we
derive the form factors compatible within near de Sitter aproaximation and
prove that the theory must contain a scalaron that drives inflationary
expansion. Further more we consider the form factors (AID non-local operators)
proposed by Tomboulis in hep-th/9702146 and compute the corresponding
predictions of tensor to scalar ratio and tensor tilt $\left( n_t,\,r \right)$
where the scalar tilt remains the same as the local Starobinsky model.
Anticipating future CMB probes such will be able to test non-local Starobinsky
inflation we constrain the scale of non-locality to be
$10^{14}\,GeV\lesssim\mathcal{M}\lesssim 5\times 10^{14}\,GeV$ and
$10^{-7}\lesssim r \lesssim 0.07$ for different form factors. We found that it
possible to have a blue or red tensor tilt $\left( n_t\gtrless 0 \right)$
depending on the scale of non-locality and the form factor. We also comment on
Higgs inflation in non-local context.
|
[
{
"created": "Thu, 4 Oct 2018 17:49:48 GMT",
"version": "v1"
}
] |
2018-10-08
|
[
[
"Kumar",
"K. Sravan",
""
],
[
"Modesto",
"Leonardo",
""
]
] |
Analytic infinite derivative (AID) non-local quadratic curvature gravity in Weyl basis is known to be ghost free, superrenormalizable or finite and perturbatively Unitary and as such it is Ultra-Violet (UV) complete. Recently $R+R^2$ ("Starobinsky") inflation was successfully embedded in AID non-local gravity and the corresponding observables were computed. Here in this paper, we derive the form factors compatible within near de Sitter aproaximation and prove that the theory must contain a scalaron that drives inflationary expansion. Further more we consider the form factors (AID non-local operators) proposed by Tomboulis in hep-th/9702146 and compute the corresponding predictions of tensor to scalar ratio and tensor tilt $\left( n_t,\,r \right)$ where the scalar tilt remains the same as the local Starobinsky model. Anticipating future CMB probes such will be able to test non-local Starobinsky inflation we constrain the scale of non-locality to be $10^{14}\,GeV\lesssim\mathcal{M}\lesssim 5\times 10^{14}\,GeV$ and $10^{-7}\lesssim r \lesssim 0.07$ for different form factors. We found that it possible to have a blue or red tensor tilt $\left( n_t\gtrless 0 \right)$ depending on the scale of non-locality and the form factor. We also comment on Higgs inflation in non-local context.
| 8.91827
| 9.611025
| 9.376114
| 8.559736
| 9.572391
| 9.485648
| 9.522083
| 9.192208
| 9.031502
| 10.185336
| 8.760672
| 8.533307
| 8.619312
| 8.4143
| 8.448516
| 8.54864
| 8.526722
| 8.60603
| 8.481579
| 9.186766
| 8.559847
|
hep-th/9510216
|
Nsc Kipt
|
Igor A. Bandos
|
On a Zero Curvature Representation for Bosonic Strings and $p$-Branes
|
14 pages. LATEX. Revised version. Submitted to Phys. Lett. B. The
arrangement of the material is changed. Some additional references are
included
|
Phys.Lett.B388:35-44,1996
|
10.1016/0370-2693(96)01162-8
| null |
hep-th
| null |
It is shown that a zero curvature representation for $D$-- dimensional $p$--
brane equations of motion originates naturally in the geometric (Lund- Regge-
Omnes) approach. To study the possibility to use this zero curvature
representation for investigation of nonlinear equations of $p$-- branes, the
simplest case of $D$-- dimensional string ($p=1$) is considered. The connection
is found between the $SO(1,1)$ gauge (world--sheet Lorentz) invariance of the
string theory with a nontrivial dependence on a spectral parameter of the Lax
matrices associated with the nonlinear equations describing the embedding of a
string world sheet into flat $D$-- dimensional space -- time. Namely, the
spectral parameter can be identified with a parameter of constant $SO(1,1)$
gauge transformations, after the deformation of the Lax matrices has been
performed.
|
[
{
"created": "Mon, 30 Oct 1995 12:04:29 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Jun 1996 13:19:37 GMT",
"version": "v2"
}
] |
2011-04-15
|
[
[
"Bandos",
"Igor A.",
""
]
] |
It is shown that a zero curvature representation for $D$-- dimensional $p$-- brane equations of motion originates naturally in the geometric (Lund- Regge- Omnes) approach. To study the possibility to use this zero curvature representation for investigation of nonlinear equations of $p$-- branes, the simplest case of $D$-- dimensional string ($p=1$) is considered. The connection is found between the $SO(1,1)$ gauge (world--sheet Lorentz) invariance of the string theory with a nontrivial dependence on a spectral parameter of the Lax matrices associated with the nonlinear equations describing the embedding of a string world sheet into flat $D$-- dimensional space -- time. Namely, the spectral parameter can be identified with a parameter of constant $SO(1,1)$ gauge transformations, after the deformation of the Lax matrices has been performed.
| 8.946149
| 8.421272
| 8.942609
| 8.286513
| 9.168329
| 9.42977
| 8.831742
| 8.698487
| 8.409347
| 9.534082
| 8.625048
| 8.416203
| 8.567859
| 8.438511
| 8.69507
| 8.728677
| 8.611798
| 8.640256
| 8.837054
| 9.03344
| 8.242137
|
1410.4457
|
Arkady Tseytlin
|
M. Beccaria and A.A. Tseytlin
|
Vectorial AdS_5/CFT_4 duality for spin-one boundary theory
|
12 pages. v2: references added
| null |
10.1088/1751-8113/47/49/492001
|
Imperial-TP-AT-2014-06
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider an example of vectorial AdS_5/CFT_4 duality when the boundary
theory is described by N free complex or real Maxwell fields. It is dual to a
particular ("type C") higher spin theory in AdS_5 containing fields in special
mixed-symmetry representations. We extend the study of this theory in
arXiv:1410.3273 by deriving the expression for the large N limit of the
corresponding singlet-sector partition function on S^1 x S^3. We find that in
both complex U(N) and real O(N) invariant cases the form of the one-particle
partition function is as required by the AdS/CFT duality. We also demonstrate
the matching of the Casimir energy on S^3 by assuming an integer shift in the
bulk theory coupling.
|
[
{
"created": "Thu, 16 Oct 2014 15:01:05 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Oct 2014 18:59:49 GMT",
"version": "v2"
}
] |
2015-06-23
|
[
[
"Beccaria",
"M.",
""
],
[
"Tseytlin",
"A. A.",
""
]
] |
We consider an example of vectorial AdS_5/CFT_4 duality when the boundary theory is described by N free complex or real Maxwell fields. It is dual to a particular ("type C") higher spin theory in AdS_5 containing fields in special mixed-symmetry representations. We extend the study of this theory in arXiv:1410.3273 by deriving the expression for the large N limit of the corresponding singlet-sector partition function on S^1 x S^3. We find that in both complex U(N) and real O(N) invariant cases the form of the one-particle partition function is as required by the AdS/CFT duality. We also demonstrate the matching of the Casimir energy on S^3 by assuming an integer shift in the bulk theory coupling.
| 11.967446
| 10.46719
| 13.362165
| 9.715714
| 10.948344
| 11.756535
| 11.546414
| 10.557141
| 10.440056
| 14.79289
| 9.824921
| 10.841529
| 11.730079
| 10.895831
| 11.022303
| 10.747867
| 10.925855
| 10.77968
| 10.829665
| 11.635453
| 10.648247
|
hep-th/9908159
|
Luigi Pilo
|
Antonio Liguori, Mihail Mintchev, Luigi Pilo
|
Anyon Condensation and Persistent Currents
|
4 pages, Latex file + 1 EPS figure
| null | null | null |
hep-th cond-mat
| null |
In this letter we study 1+1 anyon fields at finite temperature and density
with non-vanishing chemical potentials. Our approach is based on an operator
formalism for bosonization at finite temperature; the correlation functions for
the system are given in an explicit form. Two are the main results of this
construction: we point out the existence of persistent currents in 1+1 anyon
systems; from the analysis of 2-point anyon field correlation function, a
remarkable and new condensation phenomenon in momentum space is discovered. As
a concrete example, the above formalism is applied to the Thirring model.
|
[
{
"created": "Tue, 24 Aug 1999 14:56:52 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Liguori",
"Antonio",
""
],
[
"Mintchev",
"Mihail",
""
],
[
"Pilo",
"Luigi",
""
]
] |
In this letter we study 1+1 anyon fields at finite temperature and density with non-vanishing chemical potentials. Our approach is based on an operator formalism for bosonization at finite temperature; the correlation functions for the system are given in an explicit form. Two are the main results of this construction: we point out the existence of persistent currents in 1+1 anyon systems; from the analysis of 2-point anyon field correlation function, a remarkable and new condensation phenomenon in momentum space is discovered. As a concrete example, the above formalism is applied to the Thirring model.
| 10.586936
| 9.750629
| 10.640662
| 9.816384
| 9.995953
| 10.561398
| 9.896438
| 9.585251
| 9.6124
| 10.16808
| 9.383038
| 9.770482
| 10.241072
| 9.646785
| 9.770393
| 9.677349
| 9.705435
| 9.667341
| 9.718566
| 10.096832
| 9.910985
|
1105.2551
|
Sara Pasquetti
|
Sergio Benvenuti and Sara Pasquetti
|
3D-partition functions on the sphere: exact evaluation and mirror
symmetry
|
30 pages, 12 figures. v2: added references, minor changes
| null |
10.1007/JHEP05(2012)099
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study N = 4 quiver theories on the three-sphere. We compute partition
functions using the localisation method by Kapustin et al. solving exactly the
matrix integrals at finite N, as functions of mass and Fayet-Iliopoulos
parameters. We find a simple explicit formula for the partition function of the
quiver tail T(SU(N)). This formula opens the way for the analysis of
star-shaped quivers and their mirrors (that are the Gaiotto-type theories
arising from M5 branes on punctured Riemann surfaces). We provide
non-perturbative checks of mirror symmetry for infinite classes of theories and
find the partition functions of the TN theory, the building block of
generalised quiver theories.
|
[
{
"created": "Thu, 12 May 2011 19:31:11 GMT",
"version": "v1"
},
{
"created": "Sun, 22 Jan 2012 19:20:26 GMT",
"version": "v2"
}
] |
2015-05-28
|
[
[
"Benvenuti",
"Sergio",
""
],
[
"Pasquetti",
"Sara",
""
]
] |
We study N = 4 quiver theories on the three-sphere. We compute partition functions using the localisation method by Kapustin et al. solving exactly the matrix integrals at finite N, as functions of mass and Fayet-Iliopoulos parameters. We find a simple explicit formula for the partition function of the quiver tail T(SU(N)). This formula opens the way for the analysis of star-shaped quivers and their mirrors (that are the Gaiotto-type theories arising from M5 branes on punctured Riemann surfaces). We provide non-perturbative checks of mirror symmetry for infinite classes of theories and find the partition functions of the TN theory, the building block of generalised quiver theories.
| 10.716763
| 9.925705
| 13.109524
| 9.648273
| 10.056792
| 10.167881
| 9.757701
| 9.080973
| 9.520331
| 13.774429
| 9.580628
| 10.111583
| 10.666008
| 9.959747
| 10.350386
| 9.979181
| 10.089252
| 10.272008
| 10.289829
| 10.700771
| 10.059197
|
2302.14666
|
Georgios Pastras
|
Konstantinos Boutivas, Georgios Pastras and Nikolaos Tetradis
|
Entanglement and Expansion
|
42 pages, 8 figures. v2: references added
|
JHEP 05 (2023) 199
|
10.1007/JHEP05(2023)199
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We study the entanglement entropy resulting from tracing out local degrees of
freedom of a quantum scalar field in an expanding universe. It is known that
when field modes become superhorizon during inflation they evolve to
increasingly squeezed states. We argue that this causes the entanglement
entropy to grow continuously as successive modes cross the horizon. The
resulting entropy is proportional to the total duration of inflation. It is
preserved during a subsequent radiation or matter dominated era, and thus it
may be relevant for today's universe. We demonstrate explicitly these features
in a toy model of a scalar field in 1+1 dimensions.
|
[
{
"created": "Tue, 28 Feb 2023 15:32:07 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Mar 2023 18:13:21 GMT",
"version": "v2"
}
] |
2023-10-30
|
[
[
"Boutivas",
"Konstantinos",
""
],
[
"Pastras",
"Georgios",
""
],
[
"Tetradis",
"Nikolaos",
""
]
] |
We study the entanglement entropy resulting from tracing out local degrees of freedom of a quantum scalar field in an expanding universe. It is known that when field modes become superhorizon during inflation they evolve to increasingly squeezed states. We argue that this causes the entanglement entropy to grow continuously as successive modes cross the horizon. The resulting entropy is proportional to the total duration of inflation. It is preserved during a subsequent radiation or matter dominated era, and thus it may be relevant for today's universe. We demonstrate explicitly these features in a toy model of a scalar field in 1+1 dimensions.
| 7.726293
| 7.943563
| 7.236465
| 7.267071
| 8.25567
| 7.700291
| 7.640277
| 7.188944
| 7.499798
| 7.826112
| 7.320302
| 7.65175
| 7.570588
| 7.770735
| 7.636047
| 7.498418
| 7.850114
| 7.704611
| 7.717685
| 7.513119
| 7.669073
|
2202.05896
|
Anthony Ashmore
|
Anthony Ashmore
|
Calabi-Yau metrics, CFTs and random matrices
|
6 pages + references, 2 figures. Contribution to Proceedings of the
2021 Nankai Symposium on Mathematical Dialogues
| null | null | null |
hep-th math.DG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Calabi-Yau manifolds have played a key role in both mathematics and physics,
and are particularly important for deriving realistic models of particle
physics from string theory. Unfortunately, very little is known about the
explicit metrics on these spaces, leaving us unable, for example, to compute
particle masses or couplings in these models. We review recent progress in this
direction on using numerical approximations to compute the spectrum of the
Laplacian on these spaces. We give an example of what one can do with this new
"data", giving a surprising link between Calabi-Yau metrics and random matrix
theory.
|
[
{
"created": "Fri, 11 Feb 2022 20:38:39 GMT",
"version": "v1"
}
] |
2022-02-15
|
[
[
"Ashmore",
"Anthony",
""
]
] |
Calabi-Yau manifolds have played a key role in both mathematics and physics, and are particularly important for deriving realistic models of particle physics from string theory. Unfortunately, very little is known about the explicit metrics on these spaces, leaving us unable, for example, to compute particle masses or couplings in these models. We review recent progress in this direction on using numerical approximations to compute the spectrum of the Laplacian on these spaces. We give an example of what one can do with this new "data", giving a surprising link between Calabi-Yau metrics and random matrix theory.
| 7.510809
| 6.986447
| 7.578751
| 6.84832
| 8.224531
| 7.167166
| 7.56167
| 7.133362
| 7.188112
| 8.021799
| 6.748627
| 6.668012
| 6.975276
| 6.805868
| 6.914713
| 6.590265
| 6.591971
| 6.773829
| 6.673428
| 6.787237
| 6.673338
|
hep-th/9408029
|
Yuri Makeenko
|
Yu. Makeenko
|
Critical Scaling and Continuum Limits in the D>1 Kazakov-Migdal Model
|
45pp., Latex, YM-4-94
|
Int.J.Mod.Phys. A10 (1995) 2615-2660
|
10.1142/S0217751X95001248
| null |
hep-th hep-lat
| null |
I investigate the Kazakov-Migdal (KM) model -- the Hermitean gauge-invariant
matrix model on a D-dimensional lattice. I utilize an exact large-N solution of
the KM model with a logarithmic potential to examine its critical behavior. I
find critical lines associated with gamma_{string}=-1/2 and gamma_{string}=0 as
well as a tri-critical point associated with a Kosterlitz-Thouless phase
transition. The continuum theories are constructed expanding around the
critical points. The one associated with gamma_{string}=0 coincides with the
standard d=1 string while the Kosterlitz-Thouless phase transition separates it
from that with gamma_{string}=-1/2 which is indistinguishable from pure 2D
gravity for local observables but has a continuum limit for correlators of
extended Wilson loops at large distances due to a singular behavior of the
Itzykson-Zuber correlator of the gauge fields. I reexamine the KM model with an
arbitrary potential in the large-D limit and show that it reduces at large N to
a one-matrix model whose potential is determined self-consistently. A relation
with discretized random surfaces is established via the gauged Potts model
which is equivalent to the KM model at large N providing the coordination
numbers coincide.
|
[
{
"created": "Fri, 5 Aug 1994 06:09:00 GMT",
"version": "v1"
},
{
"created": "Sun, 7 Aug 1994 16:50:43 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Makeenko",
"Yu.",
""
]
] |
I investigate the Kazakov-Migdal (KM) model -- the Hermitean gauge-invariant matrix model on a D-dimensional lattice. I utilize an exact large-N solution of the KM model with a logarithmic potential to examine its critical behavior. I find critical lines associated with gamma_{string}=-1/2 and gamma_{string}=0 as well as a tri-critical point associated with a Kosterlitz-Thouless phase transition. The continuum theories are constructed expanding around the critical points. The one associated with gamma_{string}=0 coincides with the standard d=1 string while the Kosterlitz-Thouless phase transition separates it from that with gamma_{string}=-1/2 which is indistinguishable from pure 2D gravity for local observables but has a continuum limit for correlators of extended Wilson loops at large distances due to a singular behavior of the Itzykson-Zuber correlator of the gauge fields. I reexamine the KM model with an arbitrary potential in the large-D limit and show that it reduces at large N to a one-matrix model whose potential is determined self-consistently. A relation with discretized random surfaces is established via the gauged Potts model which is equivalent to the KM model at large N providing the coordination numbers coincide.
| 9.516889
| 9.287365
| 10.425284
| 8.979153
| 9.771423
| 8.970897
| 9.643498
| 9.086246
| 9.257706
| 11.323938
| 9.252847
| 9.075309
| 9.524957
| 9.12093
| 9.290763
| 9.27763
| 9.224879
| 8.745661
| 9.02246
| 9.41212
| 9.075141
|
hep-th/0301021
|
Fabio Riccioni
|
Fabio Riccioni
|
Truncations of the D9-brane action and type-I strings
|
15 pages, LaTeX file. Refs. added
|
Phys.Lett. B560 (2003) 223-231
|
10.1016/S0370-2693(03)00417-9
|
NIKHEF/2003-001
|
hep-th
| null |
The low-energy effective action of type-I superstring theory in ten
dimensions is obtained performing a truncation of type-IIB supergravity in a
background where D9-branes are present. The open sector corresponds to the
first order in the low-energy expansion of the D9-brane action in a type-I
background. In hep-th/9901055 it was shown that there are two ways of
performing a type-I truncation of the D9-brane action, and the resulting
truncated action was obtained in a flat background. We extend this result to a
generic type-I background, and argue that the two different truncations are in
correspondence with the open sector of the low-energy effective action of the
two different consistent ten-dimensional type-I string theories, namely the
SO(32) superstring and the $USp(32)$ non-supersymmetric string.
|
[
{
"created": "Mon, 6 Jan 2003 14:13:48 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Jan 2003 12:53:22 GMT",
"version": "v2"
}
] |
2010-04-05
|
[
[
"Riccioni",
"Fabio",
""
]
] |
The low-energy effective action of type-I superstring theory in ten dimensions is obtained performing a truncation of type-IIB supergravity in a background where D9-branes are present. The open sector corresponds to the first order in the low-energy expansion of the D9-brane action in a type-I background. In hep-th/9901055 it was shown that there are two ways of performing a type-I truncation of the D9-brane action, and the resulting truncated action was obtained in a flat background. We extend this result to a generic type-I background, and argue that the two different truncations are in correspondence with the open sector of the low-energy effective action of the two different consistent ten-dimensional type-I string theories, namely the SO(32) superstring and the $USp(32)$ non-supersymmetric string.
| 6.66791
| 6.022112
| 7.40513
| 6.326031
| 6.912869
| 6.161184
| 5.876527
| 6.232279
| 6.121187
| 8.182137
| 6.185764
| 6.628289
| 7.025024
| 6.430993
| 6.313953
| 6.46209
| 6.430108
| 6.522437
| 6.514092
| 7.145051
| 6.618748
|
1610.03251
|
Theodore Erler
|
Theodore Erler
|
Supersymmetry in Open Superstring Field Theory
|
37 pages
|
JHEP 1705 (2017) 113
|
10.1007/JHEP05(2017)113
|
LMU-ASC 47/16
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We realize the 16 unbroken supersymmetries on a BPS D-brane as invariances of
the action of the corresponding open superstring field theory. We work in the
small Hilbert space approach, where a symmetry of the action translates into a
symmetry of the associated cyclic $A_\infty$ structure. We compute the
supersymmetry algebra, being careful to disentangle the components which
produce a translation, a gauge transformation, and a symmetry transformation
which vanishes on-shell. Via the minimal model theorem, we illustrate how
supersymmetry of the action implies supersymmetry of the tree level open string
scattering amplitudes.
|
[
{
"created": "Tue, 11 Oct 2016 09:36:30 GMT",
"version": "v1"
}
] |
2017-10-24
|
[
[
"Erler",
"Theodore",
""
]
] |
We realize the 16 unbroken supersymmetries on a BPS D-brane as invariances of the action of the corresponding open superstring field theory. We work in the small Hilbert space approach, where a symmetry of the action translates into a symmetry of the associated cyclic $A_\infty$ structure. We compute the supersymmetry algebra, being careful to disentangle the components which produce a translation, a gauge transformation, and a symmetry transformation which vanishes on-shell. Via the minimal model theorem, we illustrate how supersymmetry of the action implies supersymmetry of the tree level open string scattering amplitudes.
| 10.639614
| 9.337836
| 10.896603
| 8.540839
| 8.600446
| 9.085109
| 8.648771
| 8.662071
| 8.276569
| 11.71574
| 8.373932
| 8.492078
| 10.286396
| 9.015521
| 8.227322
| 9.058365
| 8.588907
| 8.672747
| 9.134463
| 9.598995
| 8.505727
|
2208.08459
|
Zihan Zhou
|
Mikhail M. Ivanov, Zihan Zhou
|
Revisiting the matching of black hole tidal responses: a systematic
study of relativistic and logarithmic corrections
|
55 pages, published version in PRD
| null | null | null |
hep-th astro-ph.HE gr-qc hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
The worldline effective field theory (EFT) gives a gauge-invariant definition
of black hole conservative tidal responses (Love numbers), dissipation numbers,
and their spin-0 and spin-1 analogs. In the first part of this paper we show
how the EFT allows us to circumvent the source/response ambiguity without
having to use the analytic continuation prescription. The source/response
ambiguity appears if Post-Newtonian (PN)corrections to external sources overlap
with the response. However, these PN corrections can be clearly identified and
isolated using the EFT. We illustrate that by computing static one-point
functions of various external fields perturbing the four-dimensional
Schwarzschild geometry. Upon resumming all relevant Feynman diagrams, we find
that the PN terms that may mimic the response actually vanish for static black
holes. Thus, the extraction of Love numbers from matching the EFT and general
relativity (GR) calculations is completely unambiguous, and it implies that the
Love numbers vanish identically for all types of perturbations. We also study
in detail another type of fine tuning in the EFT, the absence of Love numbers'
running. We show that logarithmic corrections to Love numbers do stem from
individual loop diagrams in generic gauges, but cancel after all diagrams are
summed over. In the particular cases of spin-0 and spin-2 fields the logarithms
are completely absent if one uses the Kaluza-Klein metric decomposition. In the
second part of the paper we compute frequency-dependent dissipative response
contributions to the one-point functions using the Schwinger-Keldysh formalism.
We extract black hole dissipation numbers by comparing the one-point functions
in the EFT and GR. Our results are in perfect agreement with those obtained
from a manifestly gauge-invariant matching of absorption cross-sections.
|
[
{
"created": "Wed, 17 Aug 2022 18:01:04 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Aug 2022 02:01:43 GMT",
"version": "v2"
},
{
"created": "Thu, 28 Mar 2024 06:50:54 GMT",
"version": "v3"
}
] |
2024-03-29
|
[
[
"Ivanov",
"Mikhail M.",
""
],
[
"Zhou",
"Zihan",
""
]
] |
The worldline effective field theory (EFT) gives a gauge-invariant definition of black hole conservative tidal responses (Love numbers), dissipation numbers, and their spin-0 and spin-1 analogs. In the first part of this paper we show how the EFT allows us to circumvent the source/response ambiguity without having to use the analytic continuation prescription. The source/response ambiguity appears if Post-Newtonian (PN)corrections to external sources overlap with the response. However, these PN corrections can be clearly identified and isolated using the EFT. We illustrate that by computing static one-point functions of various external fields perturbing the four-dimensional Schwarzschild geometry. Upon resumming all relevant Feynman diagrams, we find that the PN terms that may mimic the response actually vanish for static black holes. Thus, the extraction of Love numbers from matching the EFT and general relativity (GR) calculations is completely unambiguous, and it implies that the Love numbers vanish identically for all types of perturbations. We also study in detail another type of fine tuning in the EFT, the absence of Love numbers' running. We show that logarithmic corrections to Love numbers do stem from individual loop diagrams in generic gauges, but cancel after all diagrams are summed over. In the particular cases of spin-0 and spin-2 fields the logarithms are completely absent if one uses the Kaluza-Klein metric decomposition. In the second part of the paper we compute frequency-dependent dissipative response contributions to the one-point functions using the Schwinger-Keldysh formalism. We extract black hole dissipation numbers by comparing the one-point functions in the EFT and GR. Our results are in perfect agreement with those obtained from a manifestly gauge-invariant matching of absorption cross-sections.
| 10.864247
| 10.007215
| 11.330342
| 10.185364
| 11.053185
| 10.592461
| 10.766353
| 10.83413
| 10.299373
| 12.143004
| 10.064679
| 10.558287
| 10.709178
| 10.261732
| 10.441654
| 10.226274
| 10.288699
| 10.419849
| 10.292963
| 10.647443
| 10.215408
|
hep-th/0106197
|
Yan-Gang Miao
|
Yan-Gang Miao (Kaiserslautern & Xiamen Uni.), Harald J.W.
Mueller-Kirsten (Kaiserslautern Uni.) and Dae Kil Park (Kyungnam & Michigan
Uni.)
|
Constructing Doubly Self-Dual Chiral p-Form Actions in D=2(p+1)
Spacetime Dimensions
|
13 pages, no figures
|
Nucl.Phys. B612 (2001) 215-225
|
10.1016/S0550-3213(01)00362-5
| null |
hep-th
| null |
A Siegel-type chiral p-form action is proposed in D=2(p+1) spacetime
dimensions. The approach we adopt is to realize the symmetric second-rank
Lagrange-multiplier field, introduced in Siegel's action, in terms of a
normalized multiplication of two (q+1)-form fields with q indices of each field
contracted in the even p case, or of two pairs of (q+1)-form fields with q
indices of each pair of fields contracted in the odd p case, where the
(q+1)-form fields are of external derivatives of one auxiliary q-form field for
the former, or a pair of auxiliary q-form fields for the latter. Using this
action, it is straightforward to deduce the recently constructed PST action for
q equal to zero. It is found that the Siegel-type chiral p-form action with a
fixed p (even or odd) is doubly self-dual in D=2(p+1) spacetime dimensions when
the auxiliary field(s) is/are also chosen to be of p-form. This result includes
PST's as a special case where only the chiral 0-form action is doubly self-dual
in D=2 dimensions.
|
[
{
"created": "Thu, 21 Jun 2001 14:42:20 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Miao",
"Yan-Gang",
"",
"Kaiserslautern & Xiamen Uni."
],
[
"Mueller-Kirsten",
"Harald J. W.",
"",
"Kaiserslautern Uni."
],
[
"Park",
"Dae Kil",
"",
"Kyungnam & Michigan\n Uni."
]
] |
A Siegel-type chiral p-form action is proposed in D=2(p+1) spacetime dimensions. The approach we adopt is to realize the symmetric second-rank Lagrange-multiplier field, introduced in Siegel's action, in terms of a normalized multiplication of two (q+1)-form fields with q indices of each field contracted in the even p case, or of two pairs of (q+1)-form fields with q indices of each pair of fields contracted in the odd p case, where the (q+1)-form fields are of external derivatives of one auxiliary q-form field for the former, or a pair of auxiliary q-form fields for the latter. Using this action, it is straightforward to deduce the recently constructed PST action for q equal to zero. It is found that the Siegel-type chiral p-form action with a fixed p (even or odd) is doubly self-dual in D=2(p+1) spacetime dimensions when the auxiliary field(s) is/are also chosen to be of p-form. This result includes PST's as a special case where only the chiral 0-form action is doubly self-dual in D=2 dimensions.
| 8.918036
| 9.64428
| 9.440137
| 8.542277
| 8.334878
| 9.000989
| 9.19299
| 8.848617
| 8.597532
| 10.528927
| 8.521515
| 8.168481
| 8.574112
| 8.245283
| 8.445984
| 8.590175
| 8.303497
| 8.348615
| 8.362749
| 8.914202
| 8.27745
|
hep-th/9202086
|
Ergin Sezgin
|
E. Sezgin
|
Area-Preserving Diffeomorphisms, w_\infty Algebras and w_\infty Gravity
|
24 pages
| null | null | null |
hep-th
| null |
The w_\infty algebra is a particular generalization of the Virasoro algebra
with generators of higher spin 2,3,...,\infty. It can be viewed as the algebra
of a class of functions, relative to a Poisson bracket, on a suitably chosen
surface. Thus, w_\infty is a special case of area-preserving diffeomorphisms of
an arbitrary surface. We review various aspects of area- preserving
diffeomorphisms, w_\infty algebras and w_\infty gravity. The topics covered
include a) the structure of the algebra of area-preserving diffeomorphisms with
central extensions and their relation to w_\infty algebras, b) various
generalizations of w_\infty algebras, c) the structure of w_\infty gravity and
its geometrical aspects, d) nonlinear realizations of w_\infty symmetry and e)
various quantum realizations of w_\infty symmetry.
|
[
{
"created": "Wed, 26 Feb 1992 01:33:16 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Sezgin",
"E.",
""
]
] |
The w_\infty algebra is a particular generalization of the Virasoro algebra with generators of higher spin 2,3,...,\infty. It can be viewed as the algebra of a class of functions, relative to a Poisson bracket, on a suitably chosen surface. Thus, w_\infty is a special case of area-preserving diffeomorphisms of an arbitrary surface. We review various aspects of area- preserving diffeomorphisms, w_\infty algebras and w_\infty gravity. The topics covered include a) the structure of the algebra of area-preserving diffeomorphisms with central extensions and their relation to w_\infty algebras, b) various generalizations of w_\infty algebras, c) the structure of w_\infty gravity and its geometrical aspects, d) nonlinear realizations of w_\infty symmetry and e) various quantum realizations of w_\infty symmetry.
| 5.377358
| 5.035254
| 5.455479
| 4.942337
| 4.9004
| 5.010738
| 4.814194
| 4.929945
| 4.942522
| 6.151675
| 4.953892
| 4.857649
| 5.107594
| 4.889351
| 4.775684
| 4.869326
| 4.725892
| 4.763316
| 4.919861
| 5.099874
| 4.825167
|
1801.08726
|
Mehmet Ozkan
|
Deniz Olgu Devecioglu, Nese Ozdemir, Mehmet Ozkan, Utku Zorba
|
Scale Invariance in Newton-Cartan and Ho\v{r}ava-Lifshitz Gravity
|
v2. 38 pages, typos corrected, references added
| null |
10.1088/1361-6382/aac07e
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a detailed analysis of the construction of $z=2$ and $z\neq2$
scale invariant Ho\v{r}ava-Lifshitz gravity. The construction procedure is
based on the realization of Ho\v{r}ava-Lifshitz gravity as the dynamical
Newton-Cartan geometry as well as a non-relativistic tensor calculus in the
presence of the scale symmetry. An important consequence of this method is that
it provides us the necessary mechanism to distinguish the local scale
invariance from the local Schr\"odinger invariance. Based on this result we
discuss the $z=2$ scale invariant Ho\v{r}ava-Lifshitz gravity and the symmetry
enhancement to the full Schr\"odinger group.
|
[
{
"created": "Fri, 26 Jan 2018 09:29:27 GMT",
"version": "v1"
},
{
"created": "Thu, 17 May 2018 08:33:22 GMT",
"version": "v2"
}
] |
2018-05-18
|
[
[
"Devecioglu",
"Deniz Olgu",
""
],
[
"Ozdemir",
"Nese",
""
],
[
"Ozkan",
"Mehmet",
""
],
[
"Zorba",
"Utku",
""
]
] |
We present a detailed analysis of the construction of $z=2$ and $z\neq2$ scale invariant Ho\v{r}ava-Lifshitz gravity. The construction procedure is based on the realization of Ho\v{r}ava-Lifshitz gravity as the dynamical Newton-Cartan geometry as well as a non-relativistic tensor calculus in the presence of the scale symmetry. An important consequence of this method is that it provides us the necessary mechanism to distinguish the local scale invariance from the local Schr\"odinger invariance. Based on this result we discuss the $z=2$ scale invariant Ho\v{r}ava-Lifshitz gravity and the symmetry enhancement to the full Schr\"odinger group.
| 5.981703
| 5.608112
| 5.448911
| 5.131576
| 5.279202
| 4.96813
| 5.597106
| 5.136079
| 5.165691
| 6.10333
| 5.130792
| 5.265517
| 5.570178
| 5.405335
| 5.219074
| 5.276142
| 5.45577
| 5.415178
| 5.385246
| 5.580104
| 5.297493
|
1611.08665
|
Yi-Nan Wang
|
Yi-Nan Wang
|
Tuned and Non-Higgsable U(1)s in F-theory
|
39 pages, 12 figures
| null |
10.1007/JHEP03(2017)140
|
MIT-CTP-4856
|
hep-th math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the tuning of U(1) gauge fields in F-theory models on a base of
general dimension. We construct a formula that computes the change in
Weierstrass moduli when such a U(1) is tuned, based on the Morrison-Park form
of a Weierstrass model with an additional rational section. Using this formula,
we propose the form of "minimal tuning" on any base, which corresponds to the
case where the decrease in the number of Weierstrass moduli is minimal.
Applying this result, we discover some universal features of bases with
non-Higgsable U(1)s. Mathematically, a generic elliptic fibration over such a
base has additional rational sections. Physically, this condition implies the
existence of U(1) gauge group in the low-energy supergravity theory after
compactification that cannot be Higgsed away. In particular, we show that the
elliptic Calabi-Yau manifold over such a base has a small number of complex
structure moduli. We also suggest that non-Higgsable U(1)s can never appear on
any toric bases. Finally, we construct the first example of a threefold base
with non-Higgsable U(1)s.
|
[
{
"created": "Sat, 26 Nov 2016 06:20:00 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Dec 2016 00:35:57 GMT",
"version": "v2"
},
{
"created": "Thu, 19 Jan 2017 03:46:20 GMT",
"version": "v3"
},
{
"created": "Fri, 17 Feb 2017 03:21:13 GMT",
"version": "v4"
}
] |
2017-04-26
|
[
[
"Wang",
"Yi-Nan",
""
]
] |
We study the tuning of U(1) gauge fields in F-theory models on a base of general dimension. We construct a formula that computes the change in Weierstrass moduli when such a U(1) is tuned, based on the Morrison-Park form of a Weierstrass model with an additional rational section. Using this formula, we propose the form of "minimal tuning" on any base, which corresponds to the case where the decrease in the number of Weierstrass moduli is minimal. Applying this result, we discover some universal features of bases with non-Higgsable U(1)s. Mathematically, a generic elliptic fibration over such a base has additional rational sections. Physically, this condition implies the existence of U(1) gauge group in the low-energy supergravity theory after compactification that cannot be Higgsed away. In particular, we show that the elliptic Calabi-Yau manifold over such a base has a small number of complex structure moduli. We also suggest that non-Higgsable U(1)s can never appear on any toric bases. Finally, we construct the first example of a threefold base with non-Higgsable U(1)s.
| 6.588088
| 7.407175
| 7.754149
| 6.583725
| 7.005277
| 6.909302
| 6.594261
| 6.646336
| 6.828863
| 7.748505
| 6.454877
| 6.499758
| 7.005891
| 6.286341
| 6.472538
| 6.610435
| 6.62751
| 6.428002
| 6.515636
| 6.896883
| 6.373241
|
1506.07232
|
Roberto Maluf
|
R. V. Maluf, J. E. G. Silva, C. A. S. Almeida
|
Radiative corrections in bumblebee electrodynamics
|
Revised version: contains some more elaborated interpretation of the
results. Conclusions improved
|
Phys. Lett. B 749, 304-308 (2015)
|
10.1016/j.physletb.2015.08.004
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate some quantum features of the bumblebee electrodynamics in flat
spacetimes. The bumblebee field is a vector field that leads to a spontaneous
Lorentz symmetry breaking. For a smooth quadratic potential, the massless
excitation (Nambu-Goldstone boson) can be identified as the photon, transversal
to the vacuum expectation value of the bumblebee field. Besides, there is a
massive excitation associated with the longitudinal mode and whose presence
leads to instability in the spectrum of the theory. By using the
principal-value prescription, we show that no one-loop radiative corrections to
the mass term is generated. Moreover, the bumblebee self-energy is not
transverse, showing that the propagation of the longitudinal mode can not be
excluded from the effective theory.
|
[
{
"created": "Wed, 24 Jun 2015 03:44:41 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Jul 2015 22:22:27 GMT",
"version": "v2"
}
] |
2015-08-18
|
[
[
"Maluf",
"R. V.",
""
],
[
"Silva",
"J. E. G.",
""
],
[
"Almeida",
"C. A. S.",
""
]
] |
We investigate some quantum features of the bumblebee electrodynamics in flat spacetimes. The bumblebee field is a vector field that leads to a spontaneous Lorentz symmetry breaking. For a smooth quadratic potential, the massless excitation (Nambu-Goldstone boson) can be identified as the photon, transversal to the vacuum expectation value of the bumblebee field. Besides, there is a massive excitation associated with the longitudinal mode and whose presence leads to instability in the spectrum of the theory. By using the principal-value prescription, we show that no one-loop radiative corrections to the mass term is generated. Moreover, the bumblebee self-energy is not transverse, showing that the propagation of the longitudinal mode can not be excluded from the effective theory.
| 7.105929
| 6.089955
| 6.669093
| 6.53075
| 6.604536
| 6.289144
| 6.620327
| 6.154661
| 6.777545
| 7.323443
| 6.519725
| 6.771336
| 6.884602
| 6.57821
| 6.680278
| 6.533641
| 6.443577
| 6.559823
| 6.754333
| 6.978864
| 6.724949
|
hep-th/9902100
|
Antoine Van Proeyen
|
Marco Billo, Sergio Cacciatori, Frederik Denef, Pietro Fre, Antoine
Van Proeyen and Daniela Zanon
|
The 0-brane action in a general D=4 supergravity background
|
29 pages, LaTex; v2 and v3: twice reference added and typos
corrected; v4: typos corrected for final version in Class.Quantum Grav
|
Class.Quant.Grav. 16 (1999) 2335-2358
|
10.1088/0264-9381/16/7/313
|
KUL-TF-99/07; DFTT 6/99; IFUM-639-FT
|
hep-th
| null |
We begin by presenting the superparticle action in the background of N=2, D=4
supergravity coupled to n vector multiplets interacting via an arbitrary
special Kahler geometry. Our construction is based on implementing
kappa-supersymmetry. In particular, our result can be interpreted as the source
term for N=2 BPS black holes with a finite horizon area. When the vector
multiplets can be associated to the complex structure moduli of a Calabi-Yau
manifold, then our 0-brane action can be derived by wrapping 3-branes around
3-cycles of the 3-fold. Our result can be extended to the case of higher
supersymmetry; we explicitly construct the kappa supersymmetric action for a
superparticle moving in an arbitrary N=8 supergravity background with 1/2, 1/4
or 1/8 residual supersymmetry.
|
[
{
"created": "Fri, 12 Feb 1999 23:29:59 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Feb 1999 18:41:55 GMT",
"version": "v2"
},
{
"created": "Sun, 14 Mar 1999 18:01:34 GMT",
"version": "v3"
},
{
"created": "Thu, 20 May 1999 15:57:12 GMT",
"version": "v4"
}
] |
2009-10-31
|
[
[
"Billo",
"Marco",
""
],
[
"Cacciatori",
"Sergio",
""
],
[
"Denef",
"Frederik",
""
],
[
"Fre",
"Pietro",
""
],
[
"Van Proeyen",
"Antoine",
""
],
[
"Zanon",
"Daniela",
""
]
] |
We begin by presenting the superparticle action in the background of N=2, D=4 supergravity coupled to n vector multiplets interacting via an arbitrary special Kahler geometry. Our construction is based on implementing kappa-supersymmetry. In particular, our result can be interpreted as the source term for N=2 BPS black holes with a finite horizon area. When the vector multiplets can be associated to the complex structure moduli of a Calabi-Yau manifold, then our 0-brane action can be derived by wrapping 3-branes around 3-cycles of the 3-fold. Our result can be extended to the case of higher supersymmetry; we explicitly construct the kappa supersymmetric action for a superparticle moving in an arbitrary N=8 supergravity background with 1/2, 1/4 or 1/8 residual supersymmetry.
| 6.249144
| 6.262647
| 7.58392
| 6.391247
| 6.163755
| 5.959657
| 6.289285
| 6.43523
| 6.004159
| 8.530013
| 5.814211
| 6.085667
| 7.087908
| 6.015775
| 6.089473
| 6.154393
| 5.872765
| 6.130656
| 6.030865
| 6.817202
| 6.019329
|
1612.02452
|
Sylvain Carrozza
|
Sylvain Carrozza and Vincent Lahoche
|
Asymptotic safety in three-dimensional SU(2) Group Field Theory:
evidence in the local potential approximation
|
43 pages, many figures; v2: minor corrections
|
Class. Quantum Grav. 34 (2017) 115004
|
10.1088/1361-6382/aa6d90
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the functional renormalization group of a three-dimensional
tensorial Group Field Theory (GFT) with gauge group SU(2). This model generates
(generalized) lattice gauge theory amplitudes, and is known to be
perturbatively renormalizable up to order 6 melonic interactions. We consider a
series of truncations of the exact Wetterich--Morris equation, which retain
increasingly many perturbatively irrelevant melonic interactions. This
tensorial analogue of the ordinary local potential approximation allows to
investigate the existence of non-perturbative fixed points of the
renormalization group flow. Our main finding is a candidate ultraviolet fixed
point, whose qualitative features are reproduced in all the truncations we have
checked (with up to order 12 interactions). This may be taken as evidence for
an ultraviolet completion of this GFT in the sense of asymptotic safety.
Moreover, this fixed point has a single relevant direction, which suggests the
presence of two distinct infrared phases. Our results generally support the
existence of GFT phases of the condensate type, which have recently been
conjectured and applied to quantum cosmology and black holes.
|
[
{
"created": "Wed, 7 Dec 2016 21:15:51 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Apr 2017 21:52:56 GMT",
"version": "v2"
}
] |
2017-05-19
|
[
[
"Carrozza",
"Sylvain",
""
],
[
"Lahoche",
"Vincent",
""
]
] |
We study the functional renormalization group of a three-dimensional tensorial Group Field Theory (GFT) with gauge group SU(2). This model generates (generalized) lattice gauge theory amplitudes, and is known to be perturbatively renormalizable up to order 6 melonic interactions. We consider a series of truncations of the exact Wetterich--Morris equation, which retain increasingly many perturbatively irrelevant melonic interactions. This tensorial analogue of the ordinary local potential approximation allows to investigate the existence of non-perturbative fixed points of the renormalization group flow. Our main finding is a candidate ultraviolet fixed point, whose qualitative features are reproduced in all the truncations we have checked (with up to order 12 interactions). This may be taken as evidence for an ultraviolet completion of this GFT in the sense of asymptotic safety. Moreover, this fixed point has a single relevant direction, which suggests the presence of two distinct infrared phases. Our results generally support the existence of GFT phases of the condensate type, which have recently been conjectured and applied to quantum cosmology and black holes.
| 8.073577
| 8.977003
| 8.922724
| 7.448143
| 8.285752
| 7.937696
| 8.531439
| 7.565691
| 8.145623
| 9.50031
| 7.860332
| 7.850617
| 8.07456
| 7.84686
| 7.743666
| 7.760685
| 8.051868
| 7.838066
| 8.189787
| 8.435472
| 7.888738
|
hep-th/9305092
| null |
Nikolaos Kalogeropoulos
|
Comments on the Gribov Ambiguity
|
13 pages, SU-HEP-4241-531, LaTeX
|
J.Math.Phys. 35 (1994) 587-595
|
10.1063/1.530889
| null |
hep-th
| null |
We discuss the existence of Gribov ambiguities in $SU(m)\times U(1)$ gauge
theories over the $n-$spheres. We achieve our goal by showing that there is
exactly one conjugacy class of groups of gauge transformations for the theories
given above. This implies that these transformation groups are conjugate to the
ones of the trivial $SU(m)\times U(1)$ fiber bundles over the $n-$spheres. By
using properties of the space of maps $Map_{\ast}(S^n,G)$ where $G$ is one of
$U(1)$, $SU(m)$ we are able to determine the homotopy type of the groups of
gauge transformations in terms of the homotopy groups of $G$. The
non-triviality of these homotopy groups gives the desired result.
|
[
{
"created": "Thu, 20 May 1993 04:18:00 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Kalogeropoulos",
"Nikolaos",
""
]
] |
We discuss the existence of Gribov ambiguities in $SU(m)\times U(1)$ gauge theories over the $n-$spheres. We achieve our goal by showing that there is exactly one conjugacy class of groups of gauge transformations for the theories given above. This implies that these transformation groups are conjugate to the ones of the trivial $SU(m)\times U(1)$ fiber bundles over the $n-$spheres. By using properties of the space of maps $Map_{\ast}(S^n,G)$ where $G$ is one of $U(1)$, $SU(m)$ we are able to determine the homotopy type of the groups of gauge transformations in terms of the homotopy groups of $G$. The non-triviality of these homotopy groups gives the desired result.
| 6.883243
| 7.799841
| 7.468337
| 7.035379
| 7.238248
| 8.519876
| 7.797218
| 7.388795
| 7.076166
| 7.634473
| 6.905445
| 6.879184
| 6.935825
| 6.680813
| 6.884874
| 6.984839
| 7.113093
| 6.794609
| 6.905096
| 6.74768
| 6.709417
|
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