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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9811190
| null |
Hai-cang Ren (The Rockefeller University)
|
Path Integrals, BRST Identities and Regularization Schemes in
Nonstandard Gauges
|
40 pages and 2 figures
|
Annals Phys. 283 (2000) 57-93
|
10.1006/aphy.2000.6046
|
RU98-7-B
|
hep-th
| null |
The path integral of a gauge theory is studied in Coulomb-like gauges. The
Christ-Lee terms of operator ordering are reproduced {\it{within}} the path
integration framework. In the presence of fermions, a new operator term, in
addition to that of Christ-Lee, is discovered. Such kind of terms is found to
be instrumental in restoring the invariance of the effective Lagrangian under a
field dependent gauge transformation, which underlies the BRST symmetry. A
unitary regularization scheme which maintains manifest BRST symmetry and is
free from energy divergences is proposed for a nonabelian gauge field.
|
[
{
"created": "Fri, 20 Nov 1998 21:54:11 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Ren",
"Hai-cang",
"",
"The Rockefeller University"
]
] |
The path integral of a gauge theory is studied in Coulomb-like gauges. The Christ-Lee terms of operator ordering are reproduced {\it{within}} the path integration framework. In the presence of fermions, a new operator term, in addition to that of Christ-Lee, is discovered. Such kind of terms is found to be instrumental in restoring the invariance of the effective Lagrangian under a field dependent gauge transformation, which underlies the BRST symmetry. A unitary regularization scheme which maintains manifest BRST symmetry and is free from energy divergences is proposed for a nonabelian gauge field.
|
hep-th/0401120
|
Takehiro Azuma
|
Takehiro Azuma
|
Matrix models and the gravitational interaction
|
96 pages, 38 figures, Dissertation submitted to Kyoto University in
candidacy for the degree of Doctor of Philosophy
| null | null |
KUNS-1893
|
hep-th
| null |
The large-N reduced models have been proposed as the nonperturbative
formulation of the superstring theory. One of the most promising candidates is
the IIB matrix model. While there have been a lot of interesting discoveries of
the IIB matrix model in relation to the gravity, we have a lot of problems to
surmount, if a large-N reduced model is to be an eligible framework to unify
the gravitational interaction. Firstly, it is still an enigma how we can
realize the local Lorentz invariant matrix model. In addition, we need to
understand how we can describe the curved spacetime more manifestly, in terms
of a large-N reduced model.
This thesis discusses several attempts to address these issues concerning the
gravitational interaction. This thesis is based on the following author's works
hep-th/0102168, hep-th/0204078, hep-th/0209057 and hep-th/0401038.
|
[
{
"created": "Sun, 18 Jan 2004 03:47:50 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Azuma",
"Takehiro",
""
]
] |
The large-N reduced models have been proposed as the nonperturbative formulation of the superstring theory. One of the most promising candidates is the IIB matrix model. While there have been a lot of interesting discoveries of the IIB matrix model in relation to the gravity, we have a lot of problems to surmount, if a large-N reduced model is to be an eligible framework to unify the gravitational interaction. Firstly, it is still an enigma how we can realize the local Lorentz invariant matrix model. In addition, we need to understand how we can describe the curved spacetime more manifestly, in terms of a large-N reduced model. This thesis discusses several attempts to address these issues concerning the gravitational interaction. This thesis is based on the following author's works hep-th/0102168, hep-th/0204078, hep-th/0209057 and hep-th/0401038.
|
1407.8393
|
Tilo Wettig
|
J.J.M. Verbaarschot and T. Wettig
|
Dirac spectrum of one-flavor QCD at \theta=0 and continuity of the
chiral condensate
|
12 pages, 6 figures
|
Phys. Rev. D 90, 116004 (2014)
|
10.1103/PhysRevD.90.116004
| null |
hep-th hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive exact analytical expressions for the spectral density of the Dirac
operator at fixed \theta-angle in the microscopic domain of one-flavor QCD.
These results are obtained by performing the sum over topological sectors using
novel identities involving sums of products of Bessel functions. Because the
fermion determinant is not positive definite for negative quark mass, the usual
Banks-Casher relation is not valid and has to be replaced by a different
mechanism first observed for QCD at nonzero chemical potential. Using the exact
results for the spectral density we explain how this mechanism results in a
chiral condensate that remains constant when the quark mass changes sign.
|
[
{
"created": "Thu, 31 Jul 2014 12:51:54 GMT",
"version": "v1"
}
] |
2014-12-24
|
[
[
"Verbaarschot",
"J. J. M.",
""
],
[
"Wettig",
"T.",
""
]
] |
We derive exact analytical expressions for the spectral density of the Dirac operator at fixed \theta-angle in the microscopic domain of one-flavor QCD. These results are obtained by performing the sum over topological sectors using novel identities involving sums of products of Bessel functions. Because the fermion determinant is not positive definite for negative quark mass, the usual Banks-Casher relation is not valid and has to be replaced by a different mechanism first observed for QCD at nonzero chemical potential. Using the exact results for the spectral density we explain how this mechanism results in a chiral condensate that remains constant when the quark mass changes sign.
|
2004.09568
|
Linus Too
|
Marika Taylor and Linus Too
|
Renormalized entanglement entropy and curvature invariants
|
32 pages
|
J. High Energ. Phys. 2020, 50 (2020)
|
10.1007/JHEP12(2020)050
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Renormalized entanglement entropy can be defined using the replica trick for
any choice of renormalization scheme; renormalized entanglement entropy in
holographic settings is expressed in terms of renormalized areas of extremal
surfaces. In this paper we show how holographic renormalized entanglement
entropy can be expressed in terms of the Euler invariant of the surface and
renormalized curvature invariants. For a spherical entangling region in an
odd-dimensional CFT, the renormalized entanglement entropy is proportional to
the Euler invariant of the holographic entangling surface, with the coefficient
of proportionality capturing the (renormalized) F quantity. Variations of the
entanglement entropy can be expressed elegantly in terms of renormalized
curvature invariants, facilitating general proofs of the first law of
entanglement.
|
[
{
"created": "Mon, 20 Apr 2020 18:50:28 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Aug 2020 06:37:24 GMT",
"version": "v2"
},
{
"created": "Fri, 24 Dec 2021 01:20:46 GMT",
"version": "v3"
}
] |
2021-12-28
|
[
[
"Taylor",
"Marika",
""
],
[
"Too",
"Linus",
""
]
] |
Renormalized entanglement entropy can be defined using the replica trick for any choice of renormalization scheme; renormalized entanglement entropy in holographic settings is expressed in terms of renormalized areas of extremal surfaces. In this paper we show how holographic renormalized entanglement entropy can be expressed in terms of the Euler invariant of the surface and renormalized curvature invariants. For a spherical entangling region in an odd-dimensional CFT, the renormalized entanglement entropy is proportional to the Euler invariant of the holographic entangling surface, with the coefficient of proportionality capturing the (renormalized) F quantity. Variations of the entanglement entropy can be expressed elegantly in terms of renormalized curvature invariants, facilitating general proofs of the first law of entanglement.
|
hep-th/9412156
| null |
S. Graffi, V.R. Manfredi, L. Salasnich
|
Quantal Overlapping Resonance Criterion in the Pullen Edmonds Model
|
12 pages, LATEX, 2 figures available upon request to the Authors,
submitted to Mod. Phys. Lett. B
|
Mod.Phys.Lett. B7 (1995) 747-753
|
10.1142/S0217984995000693
|
DFPD/93/TH/08, University of Padova
|
hep-th
| null |
In order to highlight the onset of chaos in the Pullen-Edmonds model a
quantal analog of the resonance overlap criterion has been examined. A quite
good agreement between analytical and numerical results is obtained.
|
[
{
"created": "Sun, 18 Dec 1994 16:09:12 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Graffi",
"S.",
""
],
[
"Manfredi",
"V. R.",
""
],
[
"Salasnich",
"L.",
""
]
] |
In order to highlight the onset of chaos in the Pullen-Edmonds model a quantal analog of the resonance overlap criterion has been examined. A quite good agreement between analytical and numerical results is obtained.
|
hep-th/9608016
|
Farhad Ghaboussi
|
F. Ghaboussi
|
On Quantum Cohomology
|
Latex
| null | null | null |
hep-th
| null |
We discuss a general quantum theoretical example of quantum cohomology and
show that various mathematical aspects of quantum cohomology have quantum
mechanical and also observable significance.
|
[
{
"created": "Fri, 2 Aug 1996 16:56:10 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Ghaboussi",
"F.",
""
]
] |
We discuss a general quantum theoretical example of quantum cohomology and show that various mathematical aspects of quantum cohomology have quantum mechanical and also observable significance.
|
hep-th/9404160
|
Paul Demkin
|
Paul Demkin
|
3nj-symbols and D-dimensional quantum gravity
|
9 pages, LaTex, UUITP 34/1993
| null | null | null |
hep-th
| null |
The model which generalizes Ponzano and Regge $3D$ and
Carfora-Martellini-Marzuoli $4D$ euclidean quantum gravity is considered. The
euclidean Einstein-Regge action for a $D$-simplex is given in the semiclassical
limit by a gaussian integral of a suitable $3nj$-symbol.
|
[
{
"created": "Tue, 26 Apr 1994 07:50:48 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Demkin",
"Paul",
""
]
] |
The model which generalizes Ponzano and Regge $3D$ and Carfora-Martellini-Marzuoli $4D$ euclidean quantum gravity is considered. The euclidean Einstein-Regge action for a $D$-simplex is given in the semiclassical limit by a gaussian integral of a suitable $3nj$-symbol.
|
hep-th/0111144
|
Katherine A. Seaton
|
Katherine A. Seaton
|
A universal amplitude ratio for the q<4 Potts model from a solvable
lattice model
|
11 pages, LaTeX2e, submitted to J Stat Phys
|
J.Statist.Phys. 107 (2002) 1255-1265
|
10.1023/A:1015118010271
|
YITP-SB-01-69; LTU Tech. report 2001-6
|
hep-th cond-mat.stat-mech
| null |
The universal amplitude ratio $R_{\xi}$ for the ($q\leqslant 4$)-state Potts
model in two dimensions is determined by using results for the dilute A model
in regime 1. The nature of the relationship between the Potts model and the
dilute A model, both related to $\phi_{2,1}$ perturbed conformal field theory,
is discussed.
|
[
{
"created": "Thu, 15 Nov 2001 20:06:38 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Seaton",
"Katherine A.",
""
]
] |
The universal amplitude ratio $R_{\xi}$ for the ($q\leqslant 4$)-state Potts model in two dimensions is determined by using results for the dilute A model in regime 1. The nature of the relationship between the Potts model and the dilute A model, both related to $\phi_{2,1}$ perturbed conformal field theory, is discussed.
|
0705.1048
|
Solange Odile Saliu
|
C. Bizdadea, C. C. Ciobirca, I. Negru, S. O. Saliu
|
Couplings between a single massless tensor field with the mixed symmetry
(3,1) and one vector field
|
LaTeX, 34 pages
|
Phys.Rev.D74:045031,2006
|
10.1103/PhysRevD.74.045031
| null |
hep-th
| null |
Under the hypotheses of smoothness in the coupling constant, locality,
Lorentz covariance, and Poincare invariance of the deformations, combined with
the preservation of the number of derivatives on each field, the consistent
interactions between a single free massless tensor gauge field with the mixed
symmetry of a two-column Young diagram of the type (3,1) and one Abelian vector
field have been investigated. The computations are done with the help of the
deformation theory based on a cohomological approach, in the context of the
antifield-BRST formalism. The main result is that there exist nontrivial
cross-couplings between these types of fields in five spatiotemporal
dimensions, which break the PT invariance and allow for the deformation of the
gauge transformations of the vector field, but not of the gauge algebra.
|
[
{
"created": "Tue, 8 May 2007 08:51:37 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Bizdadea",
"C.",
""
],
[
"Ciobirca",
"C. C.",
""
],
[
"Negru",
"I.",
""
],
[
"Saliu",
"S. O.",
""
]
] |
Under the hypotheses of smoothness in the coupling constant, locality, Lorentz covariance, and Poincare invariance of the deformations, combined with the preservation of the number of derivatives on each field, the consistent interactions between a single free massless tensor gauge field with the mixed symmetry of a two-column Young diagram of the type (3,1) and one Abelian vector field have been investigated. The computations are done with the help of the deformation theory based on a cohomological approach, in the context of the antifield-BRST formalism. The main result is that there exist nontrivial cross-couplings between these types of fields in five spatiotemporal dimensions, which break the PT invariance and allow for the deformation of the gauge transformations of the vector field, but not of the gauge algebra.
|
1509.01636
|
Agostino Patella
|
Biagio Lucini, Agostino Patella, Alberto Ramos, Nazario Tantalo
|
Charged hadrons in local finite-volume QED+QCD with C* boundary
conditions
|
63 pages. The main body spans 24 pages. The paper contains 4 extended
appendices
| null |
10.1007/JHEP02(2016)076
| null |
hep-th hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In order to calculate QED corrections to hadronic physical quantities by
means of lattice simulations, a coherent description of electrically-charged
states in finite volume is needed. In the usual periodic setup, Gauss's law and
large gauge transformations forbid the propagation of electrically-charged
states. A possible solution to this problem, which does not violate the axioms
of local quantum field theory, has been proposed by Wiese and Polley, and is
based on the use of C* boundary conditions. We present a thorough analysis of
the properties and symmetries of QED in isolation and QED coupled to QCD, with
C* boundary conditions. In particular we learn that a certain class of
electrically-charged states can be constructed in this setup in a fully
consistent fashion, without relying on gauge fixing. We argue that this class
of states covers most of the interesting phenomenological applications in the
framework of numerical simulations. We also calculate finite-volume corrections
to the mass of stable charged particles and show that these are much smaller
than in non-local formulations of QED.
|
[
{
"created": "Fri, 4 Sep 2015 23:27:07 GMT",
"version": "v1"
}
] |
2016-03-23
|
[
[
"Lucini",
"Biagio",
""
],
[
"Patella",
"Agostino",
""
],
[
"Ramos",
"Alberto",
""
],
[
"Tantalo",
"Nazario",
""
]
] |
In order to calculate QED corrections to hadronic physical quantities by means of lattice simulations, a coherent description of electrically-charged states in finite volume is needed. In the usual periodic setup, Gauss's law and large gauge transformations forbid the propagation of electrically-charged states. A possible solution to this problem, which does not violate the axioms of local quantum field theory, has been proposed by Wiese and Polley, and is based on the use of C* boundary conditions. We present a thorough analysis of the properties and symmetries of QED in isolation and QED coupled to QCD, with C* boundary conditions. In particular we learn that a certain class of electrically-charged states can be constructed in this setup in a fully consistent fashion, without relying on gauge fixing. We argue that this class of states covers most of the interesting phenomenological applications in the framework of numerical simulations. We also calculate finite-volume corrections to the mass of stable charged particles and show that these are much smaller than in non-local formulations of QED.
|
0907.4137
|
Jun Saito
|
Alessandro D'Adda, Noboru Kawamoto, Jun Saito
|
Formulation of Supersymmetry on a Lattice as a Representation of a
Deformed Superalgebra
|
45 pages
|
Phys.Rev.D81:065001,2010
|
10.1103/PhysRevD.81.065001
|
DFTT 46/09, EPHOU 09-003
|
hep-th hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The lattice superalgebra of the link approach is shown to satisfy a Hopf
algebraic supersymmetry where the difference operator is introduced as a
momentum operator. The breakdown of the Leibniz rule for the lattice difference
operator is accommodated as a coproduct operation of (quasi)triangular Hopf
algebra and the associated field theory is consistently defined as a braided
quantum field theory. Algebraic formulation of path integral is perturbatively
defined and Ward-Takahashi identity can be derived on the lattice. The claimed
inconsistency of the link approach leading to the ordering ambiguity for a
product of fields is solved by introducing an almost trivial braiding structure
corresponding to the triangular structure of the Hopf algebraic superalgebra.
This could be seen as a generalization of spin and statistics relation on the
lattice. From the consistency of this braiding structure of fields a grading
nature for the momentum operator is required.
|
[
{
"created": "Thu, 23 Jul 2009 19:29:41 GMT",
"version": "v1"
}
] |
2010-04-06
|
[
[
"D'Adda",
"Alessandro",
""
],
[
"Kawamoto",
"Noboru",
""
],
[
"Saito",
"Jun",
""
]
] |
The lattice superalgebra of the link approach is shown to satisfy a Hopf algebraic supersymmetry where the difference operator is introduced as a momentum operator. The breakdown of the Leibniz rule for the lattice difference operator is accommodated as a coproduct operation of (quasi)triangular Hopf algebra and the associated field theory is consistently defined as a braided quantum field theory. Algebraic formulation of path integral is perturbatively defined and Ward-Takahashi identity can be derived on the lattice. The claimed inconsistency of the link approach leading to the ordering ambiguity for a product of fields is solved by introducing an almost trivial braiding structure corresponding to the triangular structure of the Hopf algebraic superalgebra. This could be seen as a generalization of spin and statistics relation on the lattice. From the consistency of this braiding structure of fields a grading nature for the momentum operator is required.
|
hep-th/9806129
|
A. Sagnotti
|
Fabio Riccioni and Augusto Sagnotti
|
Consistent and covariant anomalies in six-dimensional supergravity
|
references added, final version to appear in Phys. Lett. B
|
Phys.Lett. B436 (1998) 298-305
|
10.1016/S0370-2693(98)00846-6
|
ROM2F-98/18
|
hep-th
| null |
In this note we clarify some issues in six-dimensional (1,0) supergravity
coupled to vector and tensor multiplets. In particular, we show that, while the
low-energy equations embody tensor-vector couplings that contribute only to
gauge anomalies, the divergence of the energy-momentum tensor is properly
non-vanishing. In addition, we show how to revert to a supersymmetric
formulation in terms of covariant non-integrable field equations that embody
corresponding covariant anomalies.
|
[
{
"created": "Tue, 16 Jun 1998 12:16:07 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Jul 1998 09:43:24 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Riccioni",
"Fabio",
""
],
[
"Sagnotti",
"Augusto",
""
]
] |
In this note we clarify some issues in six-dimensional (1,0) supergravity coupled to vector and tensor multiplets. In particular, we show that, while the low-energy equations embody tensor-vector couplings that contribute only to gauge anomalies, the divergence of the energy-momentum tensor is properly non-vanishing. In addition, we show how to revert to a supersymmetric formulation in terms of covariant non-integrable field equations that embody corresponding covariant anomalies.
|
1907.13465
|
Sang-Heon Yi
|
Dongsu Bak, Chanju Kim, Sang-Heon Yi
|
Experimental Probes of Traversable Wormholes
|
1+15 pages, 6 figures; v2:Ref.s added, typos corrected, tiny wording
change; v3:Appendix A,B are added, small improvements, accepted version
|
JHEP12(2019)005
|
10.1007/JHEP12(2019)005
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose possible probes which could be used to demonstrate experimentally
the existence of the bulk and the formation of a traversable wormhole purely in
terms of boundary operations only. In the two-dimensional Einstein-dilaton
gravity, the traversable wormhole is realized by turning on a double trace
interaction which couples the two boundaries of the AdS$_2$ black hole. Signals
can propagate in the traversable wormhole through two different channels. The
boundary channel is direct and instantaneous, while the bulk channel respects
the bulk causality and takes a certain amount of time to complete signaling. In
the latter case, we show that the signal frequency detected on the other side
is highly modulated in general. The time delay as well as the
frequency-modulation pattern could then be clear indications that the signal
comes out through the bulk channel. We discuss the characteristics of the
observed signal more explicitly for simple transitional configurations of the
black hole from/to the eternal traversable wormhole.
|
[
{
"created": "Tue, 30 Jul 2019 01:17:38 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Aug 2019 15:49:34 GMT",
"version": "v2"
},
{
"created": "Wed, 20 Nov 2019 06:03:16 GMT",
"version": "v3"
}
] |
2019-12-05
|
[
[
"Bak",
"Dongsu",
""
],
[
"Kim",
"Chanju",
""
],
[
"Yi",
"Sang-Heon",
""
]
] |
We propose possible probes which could be used to demonstrate experimentally the existence of the bulk and the formation of a traversable wormhole purely in terms of boundary operations only. In the two-dimensional Einstein-dilaton gravity, the traversable wormhole is realized by turning on a double trace interaction which couples the two boundaries of the AdS$_2$ black hole. Signals can propagate in the traversable wormhole through two different channels. The boundary channel is direct and instantaneous, while the bulk channel respects the bulk causality and takes a certain amount of time to complete signaling. In the latter case, we show that the signal frequency detected on the other side is highly modulated in general. The time delay as well as the frequency-modulation pattern could then be clear indications that the signal comes out through the bulk channel. We discuss the characteristics of the observed signal more explicitly for simple transitional configurations of the black hole from/to the eternal traversable wormhole.
|
hep-th/9811151
|
Rui Neves
|
Yuri Kubyshin, Rui Neves and Robertus Potting
|
Polchinski ERG equation and 2D scalar field theory
|
9 pages, latex with 2 figures, uses sprocl.sty. To be published in
the Proceedings of the Workshop on the Exact Renormalization Group held in
Faro, Portugal, in September 10-12 1998, World Scientific
| null | null |
UALG/TP/98-8
|
hep-th
| null |
We investigate a $Z_2$-symmetric scalar field theory in two dimensions using
the Polchinski exact renormalization group equation expanded to second order in
the derivative expansion. We find preliminary evidence that the Polchinski
equation is able to describe the non-perturbative infinite set of fixed points
in the theory space, corresponding to the minimal unitary series of 2D
conformal field theories. We compute the anomalous scaling dimension $\eta$ and
the correlation length critical exponent $\nu$ showing that an accurate fit to
conformal field theory selects particular regulating functions.
|
[
{
"created": "Mon, 16 Nov 1998 16:26:16 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Kubyshin",
"Yuri",
""
],
[
"Neves",
"Rui",
""
],
[
"Potting",
"Robertus",
""
]
] |
We investigate a $Z_2$-symmetric scalar field theory in two dimensions using the Polchinski exact renormalization group equation expanded to second order in the derivative expansion. We find preliminary evidence that the Polchinski equation is able to describe the non-perturbative infinite set of fixed points in the theory space, corresponding to the minimal unitary series of 2D conformal field theories. We compute the anomalous scaling dimension $\eta$ and the correlation length critical exponent $\nu$ showing that an accurate fit to conformal field theory selects particular regulating functions.
|
2310.11126
|
Emmanuele Battista Dr.
|
Emmanuele Battista and Harold C. Steinacker
|
One-loop effective action of the IKKT model for cosmological backgrounds
|
33 pages, 2 figures
| null |
10.1007/JHEP01(2024)125
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study cosmological solutions of the IKKT model with $k=-1$ FLWR geometry,
taking into account one-loop corrections. A previously discussed covariant
quantum spacetime is found to be stabilized through one-loop effects at early
times, without adding a mass term to the model. At late times, this background
is modified and goes through a period of acceleration, before settling down to
a coasting FLRW geometry with scale parameter $a(t) \sim t$. This is
qualitatively close to observation without any fine-tuning, irrespective of the
detailed matter content of the universe.
|
[
{
"created": "Tue, 17 Oct 2023 10:20:09 GMT",
"version": "v1"
}
] |
2024-01-25
|
[
[
"Battista",
"Emmanuele",
""
],
[
"Steinacker",
"Harold C.",
""
]
] |
We study cosmological solutions of the IKKT model with $k=-1$ FLWR geometry, taking into account one-loop corrections. A previously discussed covariant quantum spacetime is found to be stabilized through one-loop effects at early times, without adding a mass term to the model. At late times, this background is modified and goes through a period of acceleration, before settling down to a coasting FLRW geometry with scale parameter $a(t) \sim t$. This is qualitatively close to observation without any fine-tuning, irrespective of the detailed matter content of the universe.
|
2008.07534
|
Saul Ramos-Sanchez
|
Alexander Baur, Moritz Kade, Hans Peter Nilles, Saul Ramos-Sanchez,
Patrick K.S. Vaudrevange
|
The eclectic flavor symmetry of the $\boldsymbol{\mathbb{Z}_2}$ orbifold
|
28 pages, 7 figures, 1 table; v2: matches version published in JHEP
| null |
10.1007/JHEP02(2021)018
|
TUM-HEP 1276/20
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Modular symmetries naturally combine with traditional flavor symmetries and
$\mathcal{CP}$, giving rise to the so-called eclectic flavor symmetry. We apply
this scheme to the two-dimensional $\mathbb{Z}_2$ orbifold, which is equipped
with two modular symmetries $\mathrm{SL}(2,\mathbb{Z})_T$ and
$\mathrm{SL}(2,\mathbb{Z})_U$ associated with two moduli: the K\"ahler modulus
$T$ and the complex structure modulus $U$. The resulting finite modular group
is $((S_3\times S_3)\rtimes \mathbb{Z}_4)\times\mathbb{Z}_2$ including mirror
symmetry (that exchanges $T$ and $U$) and a generalized
$\mathcal{CP}$-transformation. Together with the traditional flavor symmetry
$(D_8\times D_8)/\mathbb{Z}_2$, this leads to a huge eclectic flavor group with
4608 elements. At specific regions in moduli space we observe enhanced unified
flavor symmetries with as many as 1152 elements for the tetrahedral shaped
orbifold and $\langle T \rangle = \langle U \rangle =
\exp(\pi\,\mathrm{i}\,/\,3)$. This rich eclectic structure implies interesting
(modular) flavor groups for particle physics models derived form string theory.
|
[
{
"created": "Mon, 17 Aug 2020 18:00:01 GMT",
"version": "v1"
},
{
"created": "Sat, 27 Feb 2021 02:26:35 GMT",
"version": "v2"
}
] |
2021-03-02
|
[
[
"Baur",
"Alexander",
""
],
[
"Kade",
"Moritz",
""
],
[
"Nilles",
"Hans Peter",
""
],
[
"Ramos-Sanchez",
"Saul",
""
],
[
"Vaudrevange",
"Patrick K. S.",
""
]
] |
Modular symmetries naturally combine with traditional flavor symmetries and $\mathcal{CP}$, giving rise to the so-called eclectic flavor symmetry. We apply this scheme to the two-dimensional $\mathbb{Z}_2$ orbifold, which is equipped with two modular symmetries $\mathrm{SL}(2,\mathbb{Z})_T$ and $\mathrm{SL}(2,\mathbb{Z})_U$ associated with two moduli: the K\"ahler modulus $T$ and the complex structure modulus $U$. The resulting finite modular group is $((S_3\times S_3)\rtimes \mathbb{Z}_4)\times\mathbb{Z}_2$ including mirror symmetry (that exchanges $T$ and $U$) and a generalized $\mathcal{CP}$-transformation. Together with the traditional flavor symmetry $(D_8\times D_8)/\mathbb{Z}_2$, this leads to a huge eclectic flavor group with 4608 elements. At specific regions in moduli space we observe enhanced unified flavor symmetries with as many as 1152 elements for the tetrahedral shaped orbifold and $\langle T \rangle = \langle U \rangle = \exp(\pi\,\mathrm{i}\,/\,3)$. This rich eclectic structure implies interesting (modular) flavor groups for particle physics models derived form string theory.
|
2208.14166
|
David Prinz
|
David Prinz
|
Transversality in the Coupling of Gravity to Gauge Theories
|
20 pages, 16 figures, article
| null | null | null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider (effective) Quantum General Relativity coupled to the Standard
Model and study its transversality. To this end, we provide all propagator and
three-valent vertex Feynman rules. Then we examine the longitudinal, identical
and transversal projection tensors for the de Donder gauge fixing and the
Lorenz gauge fixing. In particular, we recall several identities from Quantum
Yang--Mills theory and introduce their counterparts in (effective) Quantum
General Relativity: This includes decompositions of the longitudinal projection
tensors as well as expressions of the corresponding propagators in terms of
their transversal structure, together with longitudinal contraction identities
for all three-valent vertex Feynman rules. In addition, we introduce the notion
of an optimal gauge fixing as the natural choice for a given gauge theory: In
particular, we find that this is the de Donder gauge fixing in General
Relativity and the Lorenz gauge fixing in Yang--Mills theory.
|
[
{
"created": "Tue, 30 Aug 2022 11:35:24 GMT",
"version": "v1"
}
] |
2022-08-31
|
[
[
"Prinz",
"David",
""
]
] |
We consider (effective) Quantum General Relativity coupled to the Standard Model and study its transversality. To this end, we provide all propagator and three-valent vertex Feynman rules. Then we examine the longitudinal, identical and transversal projection tensors for the de Donder gauge fixing and the Lorenz gauge fixing. In particular, we recall several identities from Quantum Yang--Mills theory and introduce their counterparts in (effective) Quantum General Relativity: This includes decompositions of the longitudinal projection tensors as well as expressions of the corresponding propagators in terms of their transversal structure, together with longitudinal contraction identities for all three-valent vertex Feynman rules. In addition, we introduce the notion of an optimal gauge fixing as the natural choice for a given gauge theory: In particular, we find that this is the de Donder gauge fixing in General Relativity and the Lorenz gauge fixing in Yang--Mills theory.
|
hep-th/0403193
|
Yuji Sugawara
|
Tohru Eguchi and Yuji Sugawara
|
SL(2,R)/U(1) Supercoset and Elliptic Genera of Non-compact Calabi-Yau
Manifolds
|
39 pages, no figure; v2 references added, minor corrections; v3 typos
corrected, to appear in JHEP; v4 typos corrected in eqs. (3.22) and (3.44)
|
JHEP 0405:014,2004
|
10.1088/1126-6708/2004/05/014
| null |
hep-th
| null |
We first discuss the relationship between the SL(2;R)/U(1) supercoset and N=2
Liouville theory and make a precise correspondence between their
representations. We shall show that the discrete unitary representations of
SL(2;R)/U(1) theory correspond exactly to those massless representations of N=2
Liouville theory which are closed under modular transformations and studied in
our previous work hep-th/0311141.
It is known that toroidal partition functions of SL(2;R)/U(1) theory (2D
Black Hole) contain two parts, continuous and discrete representations. The
contribution of continuous representations is proportional to the space-time
volume and is divergent in the infinite-volume limit while the part of discrete
representations is volume-independent.
In order to see clearly the contribution of discrete representations we
consider elliptic genus which projects out the contributions of continuous
representations: making use of the SL(2;R)/U(1), we compute elliptic genera for
various non-compact space-times such as the conifold, ALE spaces, Calabi-Yau
3-folds with A_n singularities etc. We find that these elliptic genera in
general have a complex modular property and are not Jacobi forms as opposed to
the cases of compact Calabi-Yau manifolds.
|
[
{
"created": "Fri, 19 Mar 2004 08:16:51 GMT",
"version": "v1"
},
{
"created": "Wed, 31 Mar 2004 06:41:39 GMT",
"version": "v2"
},
{
"created": "Fri, 7 May 2004 08:02:45 GMT",
"version": "v3"
},
{
"created": "Mon, 31 Jul 2006 06:03:04 GMT",
"version": "v4"
}
] |
2010-02-03
|
[
[
"Eguchi",
"Tohru",
""
],
[
"Sugawara",
"Yuji",
""
]
] |
We first discuss the relationship between the SL(2;R)/U(1) supercoset and N=2 Liouville theory and make a precise correspondence between their representations. We shall show that the discrete unitary representations of SL(2;R)/U(1) theory correspond exactly to those massless representations of N=2 Liouville theory which are closed under modular transformations and studied in our previous work hep-th/0311141. It is known that toroidal partition functions of SL(2;R)/U(1) theory (2D Black Hole) contain two parts, continuous and discrete representations. The contribution of continuous representations is proportional to the space-time volume and is divergent in the infinite-volume limit while the part of discrete representations is volume-independent. In order to see clearly the contribution of discrete representations we consider elliptic genus which projects out the contributions of continuous representations: making use of the SL(2;R)/U(1), we compute elliptic genera for various non-compact space-times such as the conifold, ALE spaces, Calabi-Yau 3-folds with A_n singularities etc. We find that these elliptic genera in general have a complex modular property and are not Jacobi forms as opposed to the cases of compact Calabi-Yau manifolds.
|
1603.04124
|
Sanefumi Moriyama
|
Satsuki Matsuno, Sanefumi Moriyama
|
Giambelli Identity in Super Chern-Simons Matrix Model
|
16 pages, 3 figures, v2: introduction extended, references added
| null |
10.1063/1.4978229
|
OCU-PHYS 443
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A classical identity due to Giambelli in representation theory states that
the character in any representation is expressed as a determinant whose
components are characters in the hook representation constructed from all the
combinations of the arm and leg lengths of the original representation.
Previously it was shown that the identity persists in taking, for each
character, the matrix integration in the super Chern-Simons matrix model in the
grand canonical ensemble. We prove here that this Giambelli compatibility still
holds in the deformation of the fractional-brane background.
|
[
{
"created": "Mon, 14 Mar 2016 03:40:50 GMT",
"version": "v1"
},
{
"created": "Fri, 13 May 2016 04:32:46 GMT",
"version": "v2"
}
] |
2017-04-05
|
[
[
"Matsuno",
"Satsuki",
""
],
[
"Moriyama",
"Sanefumi",
""
]
] |
A classical identity due to Giambelli in representation theory states that the character in any representation is expressed as a determinant whose components are characters in the hook representation constructed from all the combinations of the arm and leg lengths of the original representation. Previously it was shown that the identity persists in taking, for each character, the matrix integration in the super Chern-Simons matrix model in the grand canonical ensemble. We prove here that this Giambelli compatibility still holds in the deformation of the fractional-brane background.
|
1611.06233
|
Grigoris Panotopoulos
|
Grigoris Panotopoulos, Angel Rincon
|
Greybody factors for a nonminimally coupled scalar field in BTZ black
hole background
|
Published version
|
Physics Letters B Volume 772, 10 September 2017, Pages 523-528
|
10.1016/j.physletb.2017.07.014
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the present work we study the propagation of a probe nonminimally coupled
scalar field in BTZ black hole background. We find analytical expressions for
the reflection coefficient, the absorption cross-section, and the decay rate in
the strong coupling case, where the nonminimal coupling is larger than its
conformal value $\xi_{c}= 1/6$. Our main results are summarized in several
figures, in which we show how the behavior of the aforementioned quantities
depends on the parameters of the theory. Our findings show that i) the
reflection coefficient tends to zero only for a nonminimal coupling $\xi \geq
0.25$, and ii) in the zero angular-momentum case the greybody factor in the low
energy regime tends to a finite constant that generically does not coincide
with the area of the horizon of the black hole. There is, however, a special
case in which this holds.
|
[
{
"created": "Fri, 18 Nov 2016 21:00:01 GMT",
"version": "v1"
},
{
"created": "Tue, 9 May 2017 21:42:04 GMT",
"version": "v2"
},
{
"created": "Fri, 6 Oct 2017 16:03:08 GMT",
"version": "v3"
}
] |
2018-05-15
|
[
[
"Panotopoulos",
"Grigoris",
""
],
[
"Rincon",
"Angel",
""
]
] |
In the present work we study the propagation of a probe nonminimally coupled scalar field in BTZ black hole background. We find analytical expressions for the reflection coefficient, the absorption cross-section, and the decay rate in the strong coupling case, where the nonminimal coupling is larger than its conformal value $\xi_{c}= 1/6$. Our main results are summarized in several figures, in which we show how the behavior of the aforementioned quantities depends on the parameters of the theory. Our findings show that i) the reflection coefficient tends to zero only for a nonminimal coupling $\xi \geq 0.25$, and ii) in the zero angular-momentum case the greybody factor in the low energy regime tends to a finite constant that generically does not coincide with the area of the horizon of the black hole. There is, however, a special case in which this holds.
|
hep-th/9608037
|
Danuta Karczewska
|
D.Karczewska, R.Manka
|
Baryogenesis and phase transition in the standard model
|
Latex, 5 pages, 3 Postscript figures
| null | null |
APCTP-96, GC-3
|
hep-th
| null |
The sphaleron type solution in the electroweak theory, generalized to include
the dilaton field, is examined. The solutions describe both the variarions of
Higgs and Gauge fields inside the sphaleron and the shape of the dilaton cloud
surrounding the sphaleron. Such a cloud is large and extends far outside. These
phenomena may play an important role during the baryogenesis which probably
took place in the Early Universe.
|
[
{
"created": "Wed, 7 Aug 1996 19:13:02 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Karczewska",
"D.",
""
],
[
"Manka",
"R.",
""
]
] |
The sphaleron type solution in the electroweak theory, generalized to include the dilaton field, is examined. The solutions describe both the variarions of Higgs and Gauge fields inside the sphaleron and the shape of the dilaton cloud surrounding the sphaleron. Such a cloud is large and extends far outside. These phenomena may play an important role during the baryogenesis which probably took place in the Early Universe.
|
1708.06327
|
Matthew Haddad
|
Orlando Alvarez and Matthew Haddad
|
Some Exact Solutions for Maximally Symmetric Topological Defects in Anti
de Sitter Space
|
45 pages, 19 figures. In version 2: added two paragraphs about how
our double BPS limit automatically gives a solution to the Yang-Mills
equation, and related it to Yang-Mills solutions in AdS_4 that appeared on
the same day in eprint 1708.06361
|
J. High Energ. Phys. (2018) 2018: 12
|
10.1007/JHEP03(2018)012
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We obtain exact analytical solutions for a class of SO($l$) Higgs field
theories in a non-dynamic background $n$-dimensional anti de Sitter space.
These finite transverse energy solutions are maximally symmetric
$p$-dimensional topological defects where $n=(p+1)+l$. The radius of curvature
of anti de Sitter space provides an extra length scale that allows us to study
the equations of motion in a limit where the masses of the Higgs field and the
massive vector bosons are both vanishing. We call this the double BPS limit. In
anti de Sitter space, the equations of motion depend on both $p$ and $l$. The
exact analytical solutions are expressed in terms of standard special
functions. The known exact analytical solutions are for kink-like defects
($p=0,1,2,\dotsc;\, l=1$), vortex-like defects ($p=1,2,3;\, l=2$), and the
'tHooft-Polyakov monopole ($p=0;\, l=3$). A bonus is that the double BPS limit
automatically gives a maximally symmetric classical glueball type solution. In
certain cases where we did not find an analytic solution, we present numerical
solutions to the equations of motion. The asymptotically exponentially
increasing volume with distance of anti de Sitter space imposes different
constraints than those found in the study of defects in Minkowski space.
|
[
{
"created": "Mon, 21 Aug 2017 17:09:16 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Aug 2017 16:43:26 GMT",
"version": "v2"
},
{
"created": "Tue, 6 Mar 2018 17:49:49 GMT",
"version": "v3"
}
] |
2018-03-07
|
[
[
"Alvarez",
"Orlando",
""
],
[
"Haddad",
"Matthew",
""
]
] |
We obtain exact analytical solutions for a class of SO($l$) Higgs field theories in a non-dynamic background $n$-dimensional anti de Sitter space. These finite transverse energy solutions are maximally symmetric $p$-dimensional topological defects where $n=(p+1)+l$. The radius of curvature of anti de Sitter space provides an extra length scale that allows us to study the equations of motion in a limit where the masses of the Higgs field and the massive vector bosons are both vanishing. We call this the double BPS limit. In anti de Sitter space, the equations of motion depend on both $p$ and $l$. The exact analytical solutions are expressed in terms of standard special functions. The known exact analytical solutions are for kink-like defects ($p=0,1,2,\dotsc;\, l=1$), vortex-like defects ($p=1,2,3;\, l=2$), and the 'tHooft-Polyakov monopole ($p=0;\, l=3$). A bonus is that the double BPS limit automatically gives a maximally symmetric classical glueball type solution. In certain cases where we did not find an analytic solution, we present numerical solutions to the equations of motion. The asymptotically exponentially increasing volume with distance of anti de Sitter space imposes different constraints than those found in the study of defects in Minkowski space.
|
0811.3969
|
Miguel Vazquez-Mozo
|
Luis Alvarez-Gaume, Cesar Gomez, Agustin Sabio Vera, Alireza Tavanfar,
Miguel A. Vazquez-Mozo
|
Critical formation of trapped surfaces in the collision of gravitational
shock waves
|
16 pages
|
JHEP 0902:009,2009
|
10.1088/1126-6708/2009/02/009
|
CERN-PH-TH/2008-224, IFT-UAM/CSIC-08/80
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the formation of marginally trapped surfaces in the head-on
collision of two shock waves both in anti-de Sitter and Minkowski space-time in
various dimensions as a function of the spread of the energy density in
transverse space. For D=4 and D=5 it is shown that there exists a critical
value of this spread above which no solution to the trapped surface equation is
found. In four dimensions the trapped surface at criticality has a finite size,
whereas in five the critical size vanishes. In both cases we find scaling
relations characterized by critical exponents. Finally, when D>5 there is
always a solution to the trapped surface equation for any transverse spread.
|
[
{
"created": "Tue, 25 Nov 2008 17:55:47 GMT",
"version": "v1"
}
] |
2009-03-04
|
[
[
"Alvarez-Gaume",
"Luis",
""
],
[
"Gomez",
"Cesar",
""
],
[
"Vera",
"Agustin Sabio",
""
],
[
"Tavanfar",
"Alireza",
""
],
[
"Vazquez-Mozo",
"Miguel A.",
""
]
] |
We study the formation of marginally trapped surfaces in the head-on collision of two shock waves both in anti-de Sitter and Minkowski space-time in various dimensions as a function of the spread of the energy density in transverse space. For D=4 and D=5 it is shown that there exists a critical value of this spread above which no solution to the trapped surface equation is found. In four dimensions the trapped surface at criticality has a finite size, whereas in five the critical size vanishes. In both cases we find scaling relations characterized by critical exponents. Finally, when D>5 there is always a solution to the trapped surface equation for any transverse spread.
|
1206.3457
|
Hans-Christian Ruiz Dipl-Phys
|
Hans-Christian Ruiz
|
Introduction to Spin Networks and Towards a Generalization of the
Decomposition Theorem
|
99 pages
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The objective of this work is twofold. On one hand, it is intended as a short
introduction to spin networks and invariants of 3-manifolds. It covers the main
areas needed to have a first understanding of the topics involved in the
development of spin networks, which are described in a detailed but not
exhaustive manner and in order of their conceptual development such that the
reader is able to use this work as a first reading. A motivation due to R.
Penrose for considering spin networks as a way of constructing a 3-D Euclidean
space is presented, as well as their relation to Ponzano-Regge theory.
Furthermore, the basic mathematical framework for the algebraic description of
spin networks via quantum groups is described and the notion of a spherical
category and its correspondence to the diagrammatic representation given by the
Temperley-Lieb recoupling theory are presented. In order to give an example of
topological invariants and their relation to TQFT the construction of the
Turaev-Viro invariant is depicted and related to the Kauffman-Lins invariant.
On the other hand, some results aiming at a decomposition theorem for
non-planar spin networks are presented. For this, Moussouris' algorithm and
some basic concepts of topological graph theory are explained and used,
especially Kuratowski's theorem and the Rotation Scheme theorem.
|
[
{
"created": "Fri, 15 Jun 2012 13:16:59 GMT",
"version": "v1"
}
] |
2012-06-18
|
[
[
"Ruiz",
"Hans-Christian",
""
]
] |
The objective of this work is twofold. On one hand, it is intended as a short introduction to spin networks and invariants of 3-manifolds. It covers the main areas needed to have a first understanding of the topics involved in the development of spin networks, which are described in a detailed but not exhaustive manner and in order of their conceptual development such that the reader is able to use this work as a first reading. A motivation due to R. Penrose for considering spin networks as a way of constructing a 3-D Euclidean space is presented, as well as their relation to Ponzano-Regge theory. Furthermore, the basic mathematical framework for the algebraic description of spin networks via quantum groups is described and the notion of a spherical category and its correspondence to the diagrammatic representation given by the Temperley-Lieb recoupling theory are presented. In order to give an example of topological invariants and their relation to TQFT the construction of the Turaev-Viro invariant is depicted and related to the Kauffman-Lins invariant. On the other hand, some results aiming at a decomposition theorem for non-planar spin networks are presented. For this, Moussouris' algorithm and some basic concepts of topological graph theory are explained and used, especially Kuratowski's theorem and the Rotation Scheme theorem.
|
2209.05291
|
Christoph Nega
|
Claude Duhr, Albrecht Klemm, Florian Loebbert, Christoph Nega and
Franziska Porkert
|
Yangian-invariant fishnet integrals in 2 dimensions as volumes of
Calabi-Yau varieties
|
6 pages, 2 figures
|
Phys.Rev.Lett. 130 (2023) 4, 041602
|
10.1103/PhysRevLett.130.041602
|
BONN-TH-2022-19
|
hep-th hep-ph math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We argue that $\ell$-loop Yangian-invariant fishnet integrals in 2 dimensions
are connected to a family of Calabi-Yau $\ell$-folds. The value of the integral
can be computed from the periods of the Calabi-Yau, while the Yangian
generators provide its Picard-Fuchs differential ideal. Using mirror symmetry,
we can identify the value of the integral as the quantum volume of the mirror
Calabi-Yau. We find that, similar to what happens in string theory, for
$\ell=1$ and 2 the value of the integral agrees with the classical volume of
the mirror, but starting from $\ell=3$, the classical volume gets corrected by
instanton contributions. We illustrate these claims on several examples, and we
use them to provide for the first time results for 2- and 3-loop
Yangian-invariant traintrack integrals in 2 dimensions for arbitrary external
kinematics.
|
[
{
"created": "Mon, 12 Sep 2022 14:50:03 GMT",
"version": "v1"
}
] |
2023-01-30
|
[
[
"Duhr",
"Claude",
""
],
[
"Klemm",
"Albrecht",
""
],
[
"Loebbert",
"Florian",
""
],
[
"Nega",
"Christoph",
""
],
[
"Porkert",
"Franziska",
""
]
] |
We argue that $\ell$-loop Yangian-invariant fishnet integrals in 2 dimensions are connected to a family of Calabi-Yau $\ell$-folds. The value of the integral can be computed from the periods of the Calabi-Yau, while the Yangian generators provide its Picard-Fuchs differential ideal. Using mirror symmetry, we can identify the value of the integral as the quantum volume of the mirror Calabi-Yau. We find that, similar to what happens in string theory, for $\ell=1$ and 2 the value of the integral agrees with the classical volume of the mirror, but starting from $\ell=3$, the classical volume gets corrected by instanton contributions. We illustrate these claims on several examples, and we use them to provide for the first time results for 2- and 3-loop Yangian-invariant traintrack integrals in 2 dimensions for arbitrary external kinematics.
|
2202.00671
|
Soham Sen
|
Soham Sen, Rituparna Mandal, Sunandan Gangopadhyay
|
Equivalence principle and HBAR entropy of an atom falling into a quantum
corrected black hole
|
This revised version of the manuscript is accepted for publication in
Physical Review D
|
Phys. Rev. D 105 (2022) 085007
|
10.1103/PhysRevD.105.085007
| null |
hep-th gr-qc quant-ph
|
http://creativecommons.org/licenses/by/4.0/
|
In this work, we have investigated the phenomenon of acceleration radiation
exhibited by an atom falling into a quantum corrected Schwarzschild black hole.
We observe that the excitation-probability of the atom with simultaneous
emission of a photon satisfies the equivalence principle when we compare it to
the excitation probability of a mirror accelerating with respect to an atom. We
also demonstrate the validity of the equivalence principle for a generic black
hole geometry. Then we calculate the horizon brightened acceleration radiation
(HBAR) entropy for this quantum corrected black hole geometry. We observed that
the HBAR entropy has the form identical to that of Bekenstein-Hawking black
hole entropy along with universal quantum gravity corrections.
|
[
{
"created": "Tue, 1 Feb 2022 02:44:51 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Mar 2022 06:29:38 GMT",
"version": "v2"
}
] |
2022-04-14
|
[
[
"Sen",
"Soham",
""
],
[
"Mandal",
"Rituparna",
""
],
[
"Gangopadhyay",
"Sunandan",
""
]
] |
In this work, we have investigated the phenomenon of acceleration radiation exhibited by an atom falling into a quantum corrected Schwarzschild black hole. We observe that the excitation-probability of the atom with simultaneous emission of a photon satisfies the equivalence principle when we compare it to the excitation probability of a mirror accelerating with respect to an atom. We also demonstrate the validity of the equivalence principle for a generic black hole geometry. Then we calculate the horizon brightened acceleration radiation (HBAR) entropy for this quantum corrected black hole geometry. We observed that the HBAR entropy has the form identical to that of Bekenstein-Hawking black hole entropy along with universal quantum gravity corrections.
|
1709.09968
|
Rudra Prakash Malik
|
S. Kumar, B. Chauhan, R. P. Malik
|
Superfield Approach to Nilpotency and Absolute Anticommutativity of
Conserved Charges: 2D non-Abelian 1-Form Gauge Theory
|
LaTeX file, 33 pages, journal reference
|
Advances in High Energy Physics, Vol. 2018: Article ID 5797514, 25
pages (2018)
| null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We exploit the theoretical strength of augmented version of superfield
approach (AVSA) to Becchi-Rouet-Stora-Tyutin (BRST) formalism to express the
nilpotency and absolute anticommutativity properties of the (anti-)BRST and
(anti-)co-BRST conserved charges for the two $(1+1)$-dimensional (2D)
non-Abelian 1-form gauge theory (without any interaction with matter fields) in
the language of superspace variables, their derivatives and suitable
superfields. In the proof of absolute anticommutativity property, we invoke the
strength of Curci-Ferrari (CF) condition for the (anti-)BRST charges. No such
outside condition/restriction is required in the proof of absolute
anticommutativity of the (anti-)co-BRST conserved charges. The latter
observation (as well as other observations) connected with (anti-)co-BRST
symmetries and corresponding conserved charges are novel results of our present
investigation. We also discuss the (anti-)BRST and (anti-)co-BRST symmetry
invariance of the appropriate Lagrangian densities within the framework of
AVSA. In addition, we dwell a bit on the derivation of the above fermionic
(nilpotent) symmetries by applying the AVSA to BRST formaism where only the
(anti-)chiral superfields are used.
|
[
{
"created": "Thu, 28 Sep 2017 13:54:52 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Jan 2018 06:20:38 GMT",
"version": "v2"
},
{
"created": "Thu, 15 Mar 2018 05:50:19 GMT",
"version": "v3"
}
] |
2018-03-16
|
[
[
"Kumar",
"S.",
""
],
[
"Chauhan",
"B.",
""
],
[
"Malik",
"R. P.",
""
]
] |
We exploit the theoretical strength of augmented version of superfield approach (AVSA) to Becchi-Rouet-Stora-Tyutin (BRST) formalism to express the nilpotency and absolute anticommutativity properties of the (anti-)BRST and (anti-)co-BRST conserved charges for the two $(1+1)$-dimensional (2D) non-Abelian 1-form gauge theory (without any interaction with matter fields) in the language of superspace variables, their derivatives and suitable superfields. In the proof of absolute anticommutativity property, we invoke the strength of Curci-Ferrari (CF) condition for the (anti-)BRST charges. No such outside condition/restriction is required in the proof of absolute anticommutativity of the (anti-)co-BRST conserved charges. The latter observation (as well as other observations) connected with (anti-)co-BRST symmetries and corresponding conserved charges are novel results of our present investigation. We also discuss the (anti-)BRST and (anti-)co-BRST symmetry invariance of the appropriate Lagrangian densities within the framework of AVSA. In addition, we dwell a bit on the derivation of the above fermionic (nilpotent) symmetries by applying the AVSA to BRST formaism where only the (anti-)chiral superfields are used.
|
2012.04815
|
Alejandro Cabo-Bizet
|
Alejandro Cabo-Bizet
|
From multi-gravitons to Black holes: The role of complex saddles
|
42 pp + appendices
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
By applying the Atiyah-Bott-Berline-Vergne equivariant integration formula
upon double dimensional integrals, we find a way to compute the matrix integral
representations of $4d$ $\mathcal{N}=1$ superconformal indices. The final
formula allows us to easily extract analytic results in the large-rank
expansion of certain theories. As an example, we compute the leading one-loop
corrections to the effective action of the known complex saddles in those
theories. For a superconformal index of $SU(N)$ $\mathcal{N}=4$ SYM, we use the
equivariant integration formula and the Picard-Lefschetz method to show that at
large enough values of $N$, only two, among the known complex saddles, dominate
the counting of large operators i.e. of operators with charges of order $N^2$.
Contributions from other known complex saddles are present, but we show they
are exponentially suppressed in that range of charges; the smaller the charges
the less suppressed they are, and eventually, to count small operators i.e.
operators with charges smaller than $N^{2/3}$, like multi-gravitons, they can
not be neglected.
|
[
{
"created": "Wed, 9 Dec 2020 01:36:34 GMT",
"version": "v1"
}
] |
2020-12-10
|
[
[
"Cabo-Bizet",
"Alejandro",
""
]
] |
By applying the Atiyah-Bott-Berline-Vergne equivariant integration formula upon double dimensional integrals, we find a way to compute the matrix integral representations of $4d$ $\mathcal{N}=1$ superconformal indices. The final formula allows us to easily extract analytic results in the large-rank expansion of certain theories. As an example, we compute the leading one-loop corrections to the effective action of the known complex saddles in those theories. For a superconformal index of $SU(N)$ $\mathcal{N}=4$ SYM, we use the equivariant integration formula and the Picard-Lefschetz method to show that at large enough values of $N$, only two, among the known complex saddles, dominate the counting of large operators i.e. of operators with charges of order $N^2$. Contributions from other known complex saddles are present, but we show they are exponentially suppressed in that range of charges; the smaller the charges the less suppressed they are, and eventually, to count small operators i.e. operators with charges smaller than $N^{2/3}$, like multi-gravitons, they can not be neglected.
|
hep-th/9909209
|
D. V. Antonov
|
Dmitri Antonov (INFN, Pisa)
|
String Nature of Confinement in (Non-)Abelian Gauge Theories
|
100 pages, LaTeX2e, no figures, 1 table, based on the Ph.D. thesises
at the Humboldt University of Berlin (1999) (available under
http://dochost.rz.hu-berlin.de) and the Institute of Theoretical and
Experimental Physics, Moscow (2000), new results are included, extended with
respect to the journal version
|
Surveys High Energ.Phys.14:265-355,2000
|
10.1080/01422410008229119
| null |
hep-th
| null |
Recent progress achieved in the solution of the problem of confinement in
various (non-)Abelian gauge theories by virtue of a derivation of their string
representation is reviewed. The theories under study include QCD within the
so-called Method of Field Correlators, QCD-inspired Abelian-projected theories,
and compact QED in three and four space-time dimensions. Various
nonperturbative properties of the vacua of the above mentioned theories are
discussed. The relevance of the Method of Field Correlators to the study of
confinement in Abelian models, allowing for an analytical description of this
phenomenon, is illustrated by an evaluation of field correlators in these
models.
|
[
{
"created": "Wed, 29 Sep 1999 09:56:22 GMT",
"version": "v1"
},
{
"created": "Tue, 9 May 2000 15:11:21 GMT",
"version": "v2"
}
] |
2015-06-26
|
[
[
"Antonov",
"Dmitri",
"",
"INFN, Pisa"
]
] |
Recent progress achieved in the solution of the problem of confinement in various (non-)Abelian gauge theories by virtue of a derivation of their string representation is reviewed. The theories under study include QCD within the so-called Method of Field Correlators, QCD-inspired Abelian-projected theories, and compact QED in three and four space-time dimensions. Various nonperturbative properties of the vacua of the above mentioned theories are discussed. The relevance of the Method of Field Correlators to the study of confinement in Abelian models, allowing for an analytical description of this phenomenon, is illustrated by an evaluation of field correlators in these models.
|
hep-th/9611083
|
Laszlo Feher
|
Jan de Boer, Laszlo Feher
|
Wakimoto realizations of current algebras: an explicit construction
|
38 pages, LaTeX, contains improved formulations of theorems 3 and 6,
two references and a remark added, plus minor stylistic changes
|
Commun.Math.Phys.189:759-793,1997
|
10.1007/s002200050228
|
LBNL-39562, UCB-PTH-96/49, BONN-TH-96/16
|
hep-th math.QA q-alg
| null |
A generalized Wakimoto realization of $\widehat{\cal G}_K$ can be associated
with each parabolic subalgebra ${\cal P}=({\cal G}_0 +{\cal G}_+)$ of a simple
Lie algebra ${\cal G}$ according to an earlier proposal by Feigin and Frenkel.
In this paper the proposal is made explicit by developing the construction of
Wakimoto realizations from a simple but unconventional viewpoint. An explicit
formula is derived for the Wakimoto current first at the Poisson bracket level
by Hamiltonian symmetry reduction of the WZNW model. The quantization is then
performed by normal ordering the classical formula and determining the required
quantum correction for it to generate $\widehat{\cal G}_K$ by means of
commutators. The affine-Sugawara stress-energy tensor is verified to have the
expected quadratic form in the constituents, which are symplectic bosons
belonging to ${\cal G}_+$ and a current belonging to ${\cal G}_0$. The
quantization requires a choice of special polynomial coordinates on the big
cell of the flag manifold $P\backslash G$. The effect of this choice is
investigated in detail by constructing quantum coordinate transformations.
Finally, the explicit form of the screening charges for each generalized
Wakimoto realization is determined, and some applications are briefly
discussed.
|
[
{
"created": "Tue, 12 Nov 1996 15:11:17 GMT",
"version": "v1"
},
{
"created": "Sat, 16 Nov 1996 15:52:18 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"de Boer",
"Jan",
""
],
[
"Feher",
"Laszlo",
""
]
] |
A generalized Wakimoto realization of $\widehat{\cal G}_K$ can be associated with each parabolic subalgebra ${\cal P}=({\cal G}_0 +{\cal G}_+)$ of a simple Lie algebra ${\cal G}$ according to an earlier proposal by Feigin and Frenkel. In this paper the proposal is made explicit by developing the construction of Wakimoto realizations from a simple but unconventional viewpoint. An explicit formula is derived for the Wakimoto current first at the Poisson bracket level by Hamiltonian symmetry reduction of the WZNW model. The quantization is then performed by normal ordering the classical formula and determining the required quantum correction for it to generate $\widehat{\cal G}_K$ by means of commutators. The affine-Sugawara stress-energy tensor is verified to have the expected quadratic form in the constituents, which are symplectic bosons belonging to ${\cal G}_+$ and a current belonging to ${\cal G}_0$. The quantization requires a choice of special polynomial coordinates on the big cell of the flag manifold $P\backslash G$. The effect of this choice is investigated in detail by constructing quantum coordinate transformations. Finally, the explicit form of the screening charges for each generalized Wakimoto realization is determined, and some applications are briefly discussed.
|
1805.08245
|
Dimitrios Giataganas
|
Dimitrios Giataganas
|
Baryons under Strong Magnetic Fields or in Theories with Space-dependent
$\theta$-term
|
37 pages, 12 figures; v2 minor improvements, references added
|
Phys. Rev. D 98, 106010 (2018)
|
10.1103/PhysRevD.98.106010
|
NCTS-TH/1807
|
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Baryonic states are sufficiently complex to reveal physics that is hidden in
the mesonic bound states. Using gauge/gravity correspondence we study
analytically and numerically baryons in theories with space-dependent
$\theta$-term, or theories under strong magnetic fields. Such holographic
studies on baryons are accommodated in a generic analytic framework we develop
for anisotropic theories, where their qualitative features are common
irrespective of the source that triggers the anisotropy. We find that the
distribution of the quarks forming the state, depends on the angle between the
baryon and the anisotropic direction. Its shape is increasingly elliptic with
respect to the strength of the field sourcing the anisotropy, counterbalancing
the broken rotational invariance on the gluonic degrees of freedom. Strikingly,
the baryons dissociate in stages with a process that depends on the proximity
of the quarks to the anisotropic direction, where certain quark pairs abandon
the bound state first, followed by the closest pairs to them as the temperature
increases. This observation may also serve as a way to identify the nature of
certain exotic states. Finally, we investigate holographic baryons with
decreased number of quarks and explain why in theories under consideration the
presence of anisotropy does not modify the universal stability condition in
contrast to the usual trend.
|
[
{
"created": "Mon, 21 May 2018 18:26:03 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Jul 2018 10:17:58 GMT",
"version": "v2"
}
] |
2018-11-21
|
[
[
"Giataganas",
"Dimitrios",
""
]
] |
Baryonic states are sufficiently complex to reveal physics that is hidden in the mesonic bound states. Using gauge/gravity correspondence we study analytically and numerically baryons in theories with space-dependent $\theta$-term, or theories under strong magnetic fields. Such holographic studies on baryons are accommodated in a generic analytic framework we develop for anisotropic theories, where their qualitative features are common irrespective of the source that triggers the anisotropy. We find that the distribution of the quarks forming the state, depends on the angle between the baryon and the anisotropic direction. Its shape is increasingly elliptic with respect to the strength of the field sourcing the anisotropy, counterbalancing the broken rotational invariance on the gluonic degrees of freedom. Strikingly, the baryons dissociate in stages with a process that depends on the proximity of the quarks to the anisotropic direction, where certain quark pairs abandon the bound state first, followed by the closest pairs to them as the temperature increases. This observation may also serve as a way to identify the nature of certain exotic states. Finally, we investigate holographic baryons with decreased number of quarks and explain why in theories under consideration the presence of anisotropy does not modify the universal stability condition in contrast to the usual trend.
|
0901.1180
|
Saeid Ansari
|
S. Ansari, G. Panotopoulos, I. Sachs
|
Absorption on horizon-wrapped branes
|
18 pages, 2 figures
|
JHEP 1009:098,2010
|
10.1007/JHEP09(2010)098
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the absorption cross section of space-time scalars on a static D2
rane, in global coordinates, wrapped on the S^2 of an AdS_2 X S^2 X CY_3
geometry. We discuss its relevance for the construction of the dual quantum
mechanics of Calabi-Yau black holes.
|
[
{
"created": "Fri, 9 Jan 2009 09:06:14 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Ansari",
"S.",
""
],
[
"Panotopoulos",
"G.",
""
],
[
"Sachs",
"I.",
""
]
] |
We compute the absorption cross section of space-time scalars on a static D2 rane, in global coordinates, wrapped on the S^2 of an AdS_2 X S^2 X CY_3 geometry. We discuss its relevance for the construction of the dual quantum mechanics of Calabi-Yau black holes.
|
1201.1905
|
Xi Dong
|
Xi Dong, Sarah Harrison, Shamit Kachru, Gonzalo Torroba, Huajia Wang
|
Aspects of holography for theories with hyperscaling violation
|
35 pages; v2: new references added; v3: proper reference [14] added;
v4: minor clarifications
|
JHEP 1206:041,2012
|
10.1007/JHEP06(2012)041
|
SLAC-PUB-14850; SU-ITP-12/01
|
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyze various aspects of the recently proposed holographic theories with
general dynamical critical exponent z and hyperscaling violation exponent
$\theta$. We first find the basic constraints on $z, \theta$ from the gravity
side, and compute the stress-energy tensor expectation values and scalar
two-point functions. Massive correlators exhibit a nontrivial exponential
behavior at long distances, controlled by $\theta$. At short distance, the
two-point functions become power-law, with a universal form for $\theta > 0$.
Next, the calculation of the holographic entanglement entropy reveals the
existence of novel phases which violate the area law. The entropy in these
phases has a behavior that interpolates between that of a Fermi surface and
that exhibited by systems with extensive entanglement entropy. Finally, we
describe microscopic embeddings of some $\theta \neq 0$ metrics into full
string theory models -- these metrics characterize large regions of the
parameter space of Dp-brane metrics for $p\neq 3$. For instance, the theory of
N D2-branes in IIA supergravity has z=1 and $\theta = -1/3$ over a wide range
of scales, at large $g_s N$.
|
[
{
"created": "Mon, 9 Jan 2012 21:00:01 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Feb 2012 10:44:06 GMT",
"version": "v2"
},
{
"created": "Wed, 29 Feb 2012 19:32:18 GMT",
"version": "v3"
},
{
"created": "Mon, 28 May 2012 22:44:31 GMT",
"version": "v4"
}
] |
2012-07-03
|
[
[
"Dong",
"Xi",
""
],
[
"Harrison",
"Sarah",
""
],
[
"Kachru",
"Shamit",
""
],
[
"Torroba",
"Gonzalo",
""
],
[
"Wang",
"Huajia",
""
]
] |
We analyze various aspects of the recently proposed holographic theories with general dynamical critical exponent z and hyperscaling violation exponent $\theta$. We first find the basic constraints on $z, \theta$ from the gravity side, and compute the stress-energy tensor expectation values and scalar two-point functions. Massive correlators exhibit a nontrivial exponential behavior at long distances, controlled by $\theta$. At short distance, the two-point functions become power-law, with a universal form for $\theta > 0$. Next, the calculation of the holographic entanglement entropy reveals the existence of novel phases which violate the area law. The entropy in these phases has a behavior that interpolates between that of a Fermi surface and that exhibited by systems with extensive entanglement entropy. Finally, we describe microscopic embeddings of some $\theta \neq 0$ metrics into full string theory models -- these metrics characterize large regions of the parameter space of Dp-brane metrics for $p\neq 3$. For instance, the theory of N D2-branes in IIA supergravity has z=1 and $\theta = -1/3$ over a wide range of scales, at large $g_s N$.
|
1912.01726
|
Tai-Fu Feng
|
Tai-Fu Feng, Chao-Hsi Chang, Jian-Bin Chen, Hai-Bin Zhang
|
GKZ-hypergeometric systems for Feynman integrals
|
32 pages, 1 figure
|
Nucl. Phys. B953(2020)114952
|
10.1016/j.nuclphysb.2020.114952
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Basing on the systems of linear partial differential equations derived from
Mellin-Barnes representations and Miller's transformation, we obtain
GKZ-hypergeometric systems of one-loop self energy, one-loop triangle, two-loop
vacuum, and two-loop sunset diagrams, respectively. The codimension of derived
GKZ-hypergeometric system equals the number of independent dimensionless ratios
among the external momentum squared and virtual mass squared. Taking
GKZ-hypergeometric systems of one-loop self energy, massless one-loop triangle,
and two-loop vacuum diagrams as examples, we present in detail how to perform
triangulation and how to construct canonical series solutions in the
corresponding convergent regions. The series solutions constructed for these
hypergeometric systems recover the well known results in literature.
|
[
{
"created": "Tue, 3 Dec 2019 22:41:18 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Feb 2020 22:30:50 GMT",
"version": "v2"
}
] |
2020-02-26
|
[
[
"Feng",
"Tai-Fu",
""
],
[
"Chang",
"Chao-Hsi",
""
],
[
"Chen",
"Jian-Bin",
""
],
[
"Zhang",
"Hai-Bin",
""
]
] |
Basing on the systems of linear partial differential equations derived from Mellin-Barnes representations and Miller's transformation, we obtain GKZ-hypergeometric systems of one-loop self energy, one-loop triangle, two-loop vacuum, and two-loop sunset diagrams, respectively. The codimension of derived GKZ-hypergeometric system equals the number of independent dimensionless ratios among the external momentum squared and virtual mass squared. Taking GKZ-hypergeometric systems of one-loop self energy, massless one-loop triangle, and two-loop vacuum diagrams as examples, we present in detail how to perform triangulation and how to construct canonical series solutions in the corresponding convergent regions. The series solutions constructed for these hypergeometric systems recover the well known results in literature.
|
1703.10569
|
Konstantin Stepanyantz
|
V.Yu. Shakhmanov, K.V. Stepanyantz
|
Three-loop NSVZ relation for terms quartic in the Yukawa couplings with
the higher covariant derivative regularization
|
22 pages, 7 figures
| null |
10.1016/j.nuclphysb.2017.04.017
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We demonstrate that in non-Abelian ${\cal N}=1$ supersymmetric gauge theories
the NSVZ relation is valid for terms quartic in the Yukawa couplings
independently of the subtraction scheme if the renormalization group functions
are defined in terms of the bare couplings and the theory is regularized by
higher covariant derivatives. The terms quartic in the Yukawa couplings appear
in the three-loop $\beta$-function and in the two-loop anomalous dimension of
the matter superfields. We have obtained that the three-loop contribution to
the $\beta$-function quartic in the Yukawa couplings is given by an integral of
double total derivatives. Consequently, one of the loop integrals can be taken
and the three-loop contribution to the $\beta$-function is reduced to the
two-loop contribution to the anomalous dimension. The remaining loop integrals
have been calculated for the simplest form of the higher derivative
regularizing term. Then we construct the renormalization group functions
defined in terms of the renormalized couplings. In the considered approximation
they do not satisfy the NSVZ relation for a general renormalization
prescription. However, we verify that the recently proposed boundary conditions
defining the NSVZ scheme in the non-Abelian case really lead to the NSVZ
relation between the terms of the considered structure.
|
[
{
"created": "Thu, 30 Mar 2017 17:08:06 GMT",
"version": "v1"
}
] |
2017-05-24
|
[
[
"Shakhmanov",
"V. Yu.",
""
],
[
"Stepanyantz",
"K. V.",
""
]
] |
We demonstrate that in non-Abelian ${\cal N}=1$ supersymmetric gauge theories the NSVZ relation is valid for terms quartic in the Yukawa couplings independently of the subtraction scheme if the renormalization group functions are defined in terms of the bare couplings and the theory is regularized by higher covariant derivatives. The terms quartic in the Yukawa couplings appear in the three-loop $\beta$-function and in the two-loop anomalous dimension of the matter superfields. We have obtained that the three-loop contribution to the $\beta$-function quartic in the Yukawa couplings is given by an integral of double total derivatives. Consequently, one of the loop integrals can be taken and the three-loop contribution to the $\beta$-function is reduced to the two-loop contribution to the anomalous dimension. The remaining loop integrals have been calculated for the simplest form of the higher derivative regularizing term. Then we construct the renormalization group functions defined in terms of the renormalized couplings. In the considered approximation they do not satisfy the NSVZ relation for a general renormalization prescription. However, we verify that the recently proposed boundary conditions defining the NSVZ scheme in the non-Abelian case really lead to the NSVZ relation between the terms of the considered structure.
|
1508.07728
|
Grigory Rubtsov
|
M. Libanov, V. Rubakov, G. Rubtsov
|
Towards conformal cosmology
|
Mini-review, prepared for JETP Letters; 11 pages, 3 figures
| null |
10.1134/S0021364015200072
|
INR-TH/2015-022
|
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Approximate de Sitter symmetry of inflating Universe is responsible for the
approximate flatness of the power spectrum of scalar perturbations. However,
this is not the only option. Another symmetry which can explain nearly
scale-invariant power spectrum is conformal invariance. We give a short review
of models based on conformal symmetry which lead to the scale-invariant
spectrum of the scalar perturbations. We discuss also potentially observable
features of these models.
|
[
{
"created": "Mon, 31 Aug 2015 09:11:07 GMT",
"version": "v1"
}
] |
2016-02-17
|
[
[
"Libanov",
"M.",
""
],
[
"Rubakov",
"V.",
""
],
[
"Rubtsov",
"G.",
""
]
] |
Approximate de Sitter symmetry of inflating Universe is responsible for the approximate flatness of the power spectrum of scalar perturbations. However, this is not the only option. Another symmetry which can explain nearly scale-invariant power spectrum is conformal invariance. We give a short review of models based on conformal symmetry which lead to the scale-invariant spectrum of the scalar perturbations. We discuss also potentially observable features of these models.
|
1312.5659
|
Alexander Westphal
|
Senarath de Alwis, Jan Louis, Liam McAllister, Hagen Triendl and
Alexander Westphal
|
On Moduli Spaces in $\bf{AdS_4}$ Supergravity
|
LaTeX, 1+24 pages, 1 figure
| null |
10.1007/JHEP05(2014)102
|
ZMP-HH/13-16,CERN-PH-TH/2013-307,DESY-13-252
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the structure of the supersymmetric moduli spaces of ${\cal N}=1$
and ${\cal N}=2$ supergravity theories in $AdS_4$ backgrounds. In the ${\cal
N}=1$ case, the moduli space cannot be a complex submanifold of the K\"ahler
field space, but is instead real with respect to the inherited complex
structure. In ${\cal N}=2$ supergravity the same result holds for the vector
multiplet moduli space, while the hypermultiplet moduli space is a K\"ahler
submanifold of the quaternionic-K\"ahler field space. These findings are in
agreement with AdS/CFT considerations.
|
[
{
"created": "Thu, 19 Dec 2013 17:41:17 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"de Alwis",
"Senarath",
""
],
[
"Louis",
"Jan",
""
],
[
"McAllister",
"Liam",
""
],
[
"Triendl",
"Hagen",
""
],
[
"Westphal",
"Alexander",
""
]
] |
We study the structure of the supersymmetric moduli spaces of ${\cal N}=1$ and ${\cal N}=2$ supergravity theories in $AdS_4$ backgrounds. In the ${\cal N}=1$ case, the moduli space cannot be a complex submanifold of the K\"ahler field space, but is instead real with respect to the inherited complex structure. In ${\cal N}=2$ supergravity the same result holds for the vector multiplet moduli space, while the hypermultiplet moduli space is a K\"ahler submanifold of the quaternionic-K\"ahler field space. These findings are in agreement with AdS/CFT considerations.
|
1910.01657
|
Andrea Palessandro
|
Andrea Palessandro and Martin S. Sloth
|
Gravitational Absorption Lines
|
33 pages, 2 figures. Added one reference and an additional section in
the appendix. Version accepted for publication in PRD
|
Phys. Rev. D 101, 043504 (2020)
|
10.1103/PhysRevD.101.043504
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the gravitational analogue of Lyman-alpha absorption lines in
astronomical spectroscopy. If Einstein gravity with minimally coupled matter is
valid up to the Planck scale, quantum bound states absorb gravitons of a
specific frequency with Planckian cross section, $\sigma_{\text{abs}} \approx
l_p^2$. Consequently, one can show that gravitational absorption by bound
states is inefficient in ordinary gravity. If observed, gravitational
absorption lines would therefore constitute a powerful smoking gun of new
exotic astrophysical bound states (near extremal bound states) or new
gravitational physics, as well as give direct evidence of the quantized nature
of the gravitational field. We provide, as an example of new gravitational
physics near the Planck scale, a non-minimal coupling of the matter fields
which breaks the equivalence principle on-shell. We lay out a model in which
absorption lines in the primordial gravitational wave spectrum are produced as
a consequence of this coupling.
|
[
{
"created": "Thu, 3 Oct 2019 18:00:15 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Jan 2020 12:25:40 GMT",
"version": "v2"
}
] |
2020-02-12
|
[
[
"Palessandro",
"Andrea",
""
],
[
"Sloth",
"Martin S.",
""
]
] |
We consider the gravitational analogue of Lyman-alpha absorption lines in astronomical spectroscopy. If Einstein gravity with minimally coupled matter is valid up to the Planck scale, quantum bound states absorb gravitons of a specific frequency with Planckian cross section, $\sigma_{\text{abs}} \approx l_p^2$. Consequently, one can show that gravitational absorption by bound states is inefficient in ordinary gravity. If observed, gravitational absorption lines would therefore constitute a powerful smoking gun of new exotic astrophysical bound states (near extremal bound states) or new gravitational physics, as well as give direct evidence of the quantized nature of the gravitational field. We provide, as an example of new gravitational physics near the Planck scale, a non-minimal coupling of the matter fields which breaks the equivalence principle on-shell. We lay out a model in which absorption lines in the primordial gravitational wave spectrum are produced as a consequence of this coupling.
|
hep-th/0011177
|
Matthew Schwartz
|
Matthew D. Schwartz
|
The Emergence of Localized Gravity
|
10 pages. References and figure added
|
Phys.Lett. B502 (2001) 223-228
|
10.1016/S0370-2693(01)00152-6
|
PUPT-1968
|
hep-th
| null |
We explore physics on the boundary of a Randall-Sundrum type model when the
brane tension is slightly sub-critical. We calculate the masses of the
Kaluza-Klein decomposition of the graviton and use a toy model to show how
localized gravity emerges as the brane tension becomes critical. Finally, we
discuss some aspects of the boundary conformal field theory and the AdS/CFT
correspondence.
|
[
{
"created": "Mon, 20 Nov 2000 19:58:56 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Mar 2001 16:25:25 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Schwartz",
"Matthew D.",
""
]
] |
We explore physics on the boundary of a Randall-Sundrum type model when the brane tension is slightly sub-critical. We calculate the masses of the Kaluza-Klein decomposition of the graviton and use a toy model to show how localized gravity emerges as the brane tension becomes critical. Finally, we discuss some aspects of the boundary conformal field theory and the AdS/CFT correspondence.
|
hep-th/9905222
|
Takuya Tsukioka
|
Noboru Kawamoto and Takuya Tsukioka
|
N=2 Supersymmetric Model with Dirac-Kahler Fermions from Generalized
Gauge Theory in Two Dimensions
|
22 pages, LaTeX
|
Phys.Rev. D61 (2000) 105009
|
10.1103/PhysRevD.61.105009
|
HPHOU-99-008
|
hep-th
| null |
We investigate the generalized gauge theory which has been proposed
previously and show that in two dimensions the instanton gauge fixing of the
generalized topological Yang-Mills action leads to a twisted N=2 supersymmetric
action. We have found that the R-symmetry of N=2 supersymmetry can be
identified with the flavour symmetry of Dirac-Kahler fermion formulation. Thus
the procedure of twist allows topological ghost fields to be interpreted as the
Dirac-Kahler matter fermions.
|
[
{
"created": "Mon, 31 May 1999 10:56:28 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Kawamoto",
"Noboru",
""
],
[
"Tsukioka",
"Takuya",
""
]
] |
We investigate the generalized gauge theory which has been proposed previously and show that in two dimensions the instanton gauge fixing of the generalized topological Yang-Mills action leads to a twisted N=2 supersymmetric action. We have found that the R-symmetry of N=2 supersymmetry can be identified with the flavour symmetry of Dirac-Kahler fermion formulation. Thus the procedure of twist allows topological ghost fields to be interpreted as the Dirac-Kahler matter fermions.
|
1401.7102
|
Grigorii Pivovarov
|
Victor Kim and Grigorii Pivovarov
|
Multi-particle Processes and Tamed Ultraviolet Divergences
|
8 pages, 2 figures, to appear in PRD
|
Phys. Rev. D 90, 125009 (2014)
|
10.1103/PhysRevD.90.125009
|
INR-TH-2014-002
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
New approach to computing the amplitudes of multi-particle processes in
renormalizable quantum field theories is presented. Its major feature is a
separation of the renormalization from the computation. Within the suggested
approach new computational rules are formulated. According to the new rules,
the amplitudes under computation are expressed as a sum of effective Feynman
amplitudes whose vertexes are the complete amplitudes of the processes
involving not more than four particles, and the lines are the complete
two-point functions. The new rules include prescriptions for computing the
combinatorial factors by each amplitude. It is demonstrated that due to these
prescriptions the combinatorial factors by the amplitudes that are divergent in
the ultraviolet in four space-time dimensions vanish. Because of this, the
computations within the new approach do not involve the ultraviolet
renormalization. It is observed that the combinatorics of the new rules
determines the dimension of the space-time.
|
[
{
"created": "Tue, 28 Jan 2014 07:19:50 GMT",
"version": "v1"
},
{
"created": "Fri, 31 Jan 2014 06:10:34 GMT",
"version": "v2"
},
{
"created": "Mon, 17 Nov 2014 12:04:13 GMT",
"version": "v3"
}
] |
2014-12-17
|
[
[
"Kim",
"Victor",
""
],
[
"Pivovarov",
"Grigorii",
""
]
] |
New approach to computing the amplitudes of multi-particle processes in renormalizable quantum field theories is presented. Its major feature is a separation of the renormalization from the computation. Within the suggested approach new computational rules are formulated. According to the new rules, the amplitudes under computation are expressed as a sum of effective Feynman amplitudes whose vertexes are the complete amplitudes of the processes involving not more than four particles, and the lines are the complete two-point functions. The new rules include prescriptions for computing the combinatorial factors by each amplitude. It is demonstrated that due to these prescriptions the combinatorial factors by the amplitudes that are divergent in the ultraviolet in four space-time dimensions vanish. Because of this, the computations within the new approach do not involve the ultraviolet renormalization. It is observed that the combinatorics of the new rules determines the dimension of the space-time.
|
1005.4462
|
Hongbao Zhang
|
Hongbao Zhang
|
Note on the non-adjacent BCFW deformations
|
more readable version with typo corrected and references added
| null | null |
CCTP-2010-15
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
As the first part, we provide a proof of the consistency condition by
Kleiss-Kuijf relation and the bonus relation by BCJ relation for the
non-adjacent BCFW deformations. On the other hand, rather than appealing to
field theory argument, we provide an alternative proof of bonus relation for
the non-adjacent BCFW deformations by a purely S matrix analysis in the context
of $\mathcal{N}=4$ SYM theory.
|
[
{
"created": "Tue, 25 May 2010 00:53:08 GMT",
"version": "v1"
},
{
"created": "Wed, 26 May 2010 21:52:08 GMT",
"version": "v2"
}
] |
2010-11-29
|
[
[
"Zhang",
"Hongbao",
""
]
] |
As the first part, we provide a proof of the consistency condition by Kleiss-Kuijf relation and the bonus relation by BCJ relation for the non-adjacent BCFW deformations. On the other hand, rather than appealing to field theory argument, we provide an alternative proof of bonus relation for the non-adjacent BCFW deformations by a purely S matrix analysis in the context of $\mathcal{N}=4$ SYM theory.
|
1807.03753
|
Hiroyuki Kitamoto
|
Hiroyuki Kitamoto
|
Schwinger Effect in Inflaton-Driven Electric Field
|
15 pages, matches published version
|
Phys. Rev. D 98, 103512 (2018)
|
10.1103/PhysRevD.98.103512
|
NCTS-TH/1809
|
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In a four dimensional inflation theory, a persistent electric field can be
established by making the inflaton coupled to the gauge field like a dilaton.
We investigate the pair production of scalar particles in the inflaton-driven
electric field. In particular, we evaluate the induced current due to the pair
production. The presence of the dilatonic coupling ensures the validity of the
WKB approximation at the past and the future infinities, without tuning
constant parameters. Thus, the semiclassical description is applicable in
evaluating the induced current. Solving the field equations with the induced
current, we evaluate the first-order backreaction to the electric field. It
turns out that the electric field decreases with the cosmic expansion. The
result indicates that the no-anisotropic hair theorem for inflation holds true
regardless of whether the dilatonic coupling is present or not.
|
[
{
"created": "Tue, 10 Jul 2018 16:54:47 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Nov 2018 15:04:04 GMT",
"version": "v2"
}
] |
2018-11-14
|
[
[
"Kitamoto",
"Hiroyuki",
""
]
] |
In a four dimensional inflation theory, a persistent electric field can be established by making the inflaton coupled to the gauge field like a dilaton. We investigate the pair production of scalar particles in the inflaton-driven electric field. In particular, we evaluate the induced current due to the pair production. The presence of the dilatonic coupling ensures the validity of the WKB approximation at the past and the future infinities, without tuning constant parameters. Thus, the semiclassical description is applicable in evaluating the induced current. Solving the field equations with the induced current, we evaluate the first-order backreaction to the electric field. It turns out that the electric field decreases with the cosmic expansion. The result indicates that the no-anisotropic hair theorem for inflation holds true regardless of whether the dilatonic coupling is present or not.
|
hep-th/9303101
| null |
A.Marshakov
|
Integrable structures in matrix models and physics of 2d-gravity
|
(based on lectures given at the Niels Bohr Institute) NORDITA-93/21,
FIAN/TD-05/93, 70 pp, latex
|
Int.J.Mod.Phys. A8 (1993) 3831-3882
|
10.1142/S0217751X93001569
| null |
hep-th
| null |
A review of the appearence of integrable structures in the matrix model
description of $2d$-gravity is presented. Most of ideas are demonstrated at the
technically simple but ideologically important examples. Matrix models are
considered as a sort of "effective" description of continuum $2d$ field theory
formulation. The main physical role in such description is played by the
Virasoro-$W$ constraints which can be interpreted as a certain unitarity or
factorization constraints. Bith discrete and continuum (Generalized Kontsevich)
models are formulated as the solutions to those discrete (continuous)
Virasoro-$W$ constraints. Their integrability properties are proven using
mostly the determinant technique highly related to the representation in terms
of free fields. The paper also contains some new observations connected to
formulation of more general than GKM solutions and deeper understanding of
their relation to $2d$ gravity.
|
[
{
"created": "Wed, 17 Mar 1993 23:18:38 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Marshakov",
"A.",
""
]
] |
A review of the appearence of integrable structures in the matrix model description of $2d$-gravity is presented. Most of ideas are demonstrated at the technically simple but ideologically important examples. Matrix models are considered as a sort of "effective" description of continuum $2d$ field theory formulation. The main physical role in such description is played by the Virasoro-$W$ constraints which can be interpreted as a certain unitarity or factorization constraints. Bith discrete and continuum (Generalized Kontsevich) models are formulated as the solutions to those discrete (continuous) Virasoro-$W$ constraints. Their integrability properties are proven using mostly the determinant technique highly related to the representation in terms of free fields. The paper also contains some new observations connected to formulation of more general than GKM solutions and deeper understanding of their relation to $2d$ gravity.
|
1101.4937
|
Christoph Keller
|
Christoph A. Keller
|
Phase transitions in symmetric orbifold CFTs and universality
|
24 pages, 3 figures; typos corrected; corrected mistake in
expressions in section 2.2
|
JHEP 1103:114,2011
|
10.1007/JHEP03(2011)114
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Since many thermodynamic properties of black holes are universal, the
thermodynamics of their holographic duals should be universal too. We show how
this universality is exhibited in the example of symmetric orbifolds of general
two dimensional CFTs. We discuss the free energies and phase diagrams of such
theories and show that they are indeed universal in the large N limit. We also
comment on the implications of our results for the classification of CFTs that
can have an interpretation as holographic duals to gravity theories on AdS(3).
|
[
{
"created": "Tue, 25 Jan 2011 21:00:04 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Feb 2011 01:32:57 GMT",
"version": "v2"
},
{
"created": "Tue, 7 Oct 2014 16:13:23 GMT",
"version": "v3"
}
] |
2015-03-18
|
[
[
"Keller",
"Christoph A.",
""
]
] |
Since many thermodynamic properties of black holes are universal, the thermodynamics of their holographic duals should be universal too. We show how this universality is exhibited in the example of symmetric orbifolds of general two dimensional CFTs. We discuss the free energies and phase diagrams of such theories and show that they are indeed universal in the large N limit. We also comment on the implications of our results for the classification of CFTs that can have an interpretation as holographic duals to gravity theories on AdS(3).
|
0807.0513
|
Peter Horvathy
|
P. A. Horvathy
|
Non-Relativistic Conformal and Supersymmetries
|
5 pages, published in the Proceedings of the XXI Int. Conf. on Diff.
Geom. Meths. in Theor. Phys., Tianjin'1992. Reference list updated
|
Int.J.Mod.Phys.A3:339-342,1993
| null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Non-relativistic conformal (''Schr\"odinger'') symmetry is derived in a
Kaluza-Klein type framework. Lightlike reduction of the massless Dirac equation
from 5D Minkowski space yields L\'evy-Leblond's non-relativistic equation for a
spin 1/2 particle. Combining with the osp(1,1) SUSY found before provides us
with a super-Schr\"odinger symmetry.
|
[
{
"created": "Thu, 3 Jul 2008 12:14:01 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Horvathy",
"P. A.",
""
]
] |
Non-relativistic conformal (''Schr\"odinger'') symmetry is derived in a Kaluza-Klein type framework. Lightlike reduction of the massless Dirac equation from 5D Minkowski space yields L\'evy-Leblond's non-relativistic equation for a spin 1/2 particle. Combining with the osp(1,1) SUSY found before provides us with a super-Schr\"odinger symmetry.
|
1810.07199
|
Connor Behan
|
Connor Behan
|
Bootstrapping the long-range Ising model in three dimensions
|
32+9 pages, 14 figures, PDF LaTeX
| null |
10.1088/1751-8121/aafd1b
|
YITP-SB-18-27
|
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The 3D Ising model and the generalized free scalar of dimension at least 0.75
belong to a continuous line of nonlocal fixed points, each referred to as a
long-range Ising model. They can be distinguished by the dimension of the
lightest spin-2 operator, which interpolates between 3 and 3.5 if we focus on
the non-trivial part of the fixed line. A property common to all such theories
is the presence of three relevant conformal primaries, two of which form a
shadow pair. This pair is analogous to a superconformal multiplet in that it
enforces relations between certain conformal blocks. By demanding that crossing
symmetry and unitarity hold for a set of correlators involving the relevant
operators, we compute numerical bounds on their scaling dimensions and OPE
coefficients. Specifically, we raise the minimal spin-2 operator dimension to
find successively smaller regions which eventually form a kink. Whenever a kink
appears, its co-ordinates show good agreement with the epsilon expansion
predictions for the critical exponents in the corresponding statistical model.
As a byproduct, our results reveal an infinite tower of protected operators
with odd spin.
|
[
{
"created": "Tue, 16 Oct 2018 18:00:09 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Oct 2018 02:21:59 GMT",
"version": "v2"
}
] |
2019-01-25
|
[
[
"Behan",
"Connor",
""
]
] |
The 3D Ising model and the generalized free scalar of dimension at least 0.75 belong to a continuous line of nonlocal fixed points, each referred to as a long-range Ising model. They can be distinguished by the dimension of the lightest spin-2 operator, which interpolates between 3 and 3.5 if we focus on the non-trivial part of the fixed line. A property common to all such theories is the presence of three relevant conformal primaries, two of which form a shadow pair. This pair is analogous to a superconformal multiplet in that it enforces relations between certain conformal blocks. By demanding that crossing symmetry and unitarity hold for a set of correlators involving the relevant operators, we compute numerical bounds on their scaling dimensions and OPE coefficients. Specifically, we raise the minimal spin-2 operator dimension to find successively smaller regions which eventually form a kink. Whenever a kink appears, its co-ordinates show good agreement with the epsilon expansion predictions for the critical exponents in the corresponding statistical model. As a byproduct, our results reveal an infinite tower of protected operators with odd spin.
|
0910.0748
|
Michal Heller
|
Ivan Booth, Michal P. Heller, Michal Spalinski
|
Black brane entropy and hydrodynamics: the boost-invariant case
|
RevTeX, 42 pages, 4 figures
| null |
10.1103/PhysRevD.80.126013
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The framework of slowly evolving horizons is generalized to the case of black
branes in asymptotically anti-de Sitter spaces in arbitrary dimensions. The
results are used to analyze the behavior of both event and apparent horizons in
the gravity dual to boost-invariant flow. These considerations are motivated by
the fact that at second order in the gradient expansion the hydrodynamic
entropy current in the dual Yang-Mills theory appears to contain an ambiguity.
This ambiguity, in the case of boost-invariant flow, is linked with a similar
freedom on the gravity side. This leads to a phenomenological definition of the
entropy of black branes. Some insights on fluid/gravity duality and the
definition of entropy in a time-dependent setting are elucidated.
|
[
{
"created": "Mon, 5 Oct 2009 12:33:06 GMT",
"version": "v1"
}
] |
2015-05-14
|
[
[
"Booth",
"Ivan",
""
],
[
"Heller",
"Michal P.",
""
],
[
"Spalinski",
"Michal",
""
]
] |
The framework of slowly evolving horizons is generalized to the case of black branes in asymptotically anti-de Sitter spaces in arbitrary dimensions. The results are used to analyze the behavior of both event and apparent horizons in the gravity dual to boost-invariant flow. These considerations are motivated by the fact that at second order in the gradient expansion the hydrodynamic entropy current in the dual Yang-Mills theory appears to contain an ambiguity. This ambiguity, in the case of boost-invariant flow, is linked with a similar freedom on the gravity side. This leads to a phenomenological definition of the entropy of black branes. Some insights on fluid/gravity duality and the definition of entropy in a time-dependent setting are elucidated.
|
hep-th/0105221
|
D. R. T. Jones
|
I. Jack and D.R.T. Jones
|
Ultra-violet Finite Noncommutative Theories
|
10 pages, 4 figures, TeX. Uses Harvmac (big) and epsf. Some minor
typos corrected and added references in v2
|
Phys.Lett. B514 (2001) 401-406
|
10.1016/S0370-2693(01)00824-3
|
LTH 503
|
hep-th
| null |
We establish the ultra-violet finiteness of various classes of noncommutative
gauge theories.
|
[
{
"created": "Tue, 22 May 2001 15:32:16 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Jun 2001 09:46:37 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Jack",
"I.",
""
],
[
"Jones",
"D. R. T.",
""
]
] |
We establish the ultra-violet finiteness of various classes of noncommutative gauge theories.
|
hep-th/0503153
|
Mark Hillenbach
|
Stefan Groot Nibbelink (Minnesota U., Theor. Phys. Inst.), Mark
Hillenbach (Bonn U.)
|
Renormalization of Supersymmetric Gauge Theories on Orbifolds: Brane
Gauge Couplings and Higher Derivative Operators
|
10 pp
|
Phys.Lett.B616:125-134,2005
|
10.1016/j.physletb.2005.04.049
|
FTPI-MINN-05/06, UMN-TH-2347/05
|
hep-th hep-ph
| null |
We consider supersymmetric gauge theories coupled to hyper multiplets on five
and six dimensional orbifolds and determine the bulk and local fixed point
renormalizations of the gauge couplings. We infer from a component analysis
that the hyper multiplet does not induce renormalization of the brane gauge
couplings on the five dimensional orbifold S^1/Z_2. This is not due to
supersymmetry, since the bosonic and fermionic contributions cancel separately.
We extend this investigation to T^2/Z_N orbifolds using supergraph techniques
in six dimensions. On general Z_N orbifolds the gauge couplings do renormalize
at the fixed points, except for the Z_2 fixed points of an even ordered
orbifold. To cancel the bulk one-loop divergences a dimension six higher
derivative operator is needed, in addition to the standard bulk gauge kinetic
term.
|
[
{
"created": "Mon, 21 Mar 2005 15:43:27 GMT",
"version": "v1"
}
] |
2011-10-11
|
[
[
"Nibbelink",
"Stefan Groot",
"",
"Minnesota U., Theor. Phys. Inst."
],
[
"Hillenbach",
"Mark",
"",
"Bonn U."
]
] |
We consider supersymmetric gauge theories coupled to hyper multiplets on five and six dimensional orbifolds and determine the bulk and local fixed point renormalizations of the gauge couplings. We infer from a component analysis that the hyper multiplet does not induce renormalization of the brane gauge couplings on the five dimensional orbifold S^1/Z_2. This is not due to supersymmetry, since the bosonic and fermionic contributions cancel separately. We extend this investigation to T^2/Z_N orbifolds using supergraph techniques in six dimensions. On general Z_N orbifolds the gauge couplings do renormalize at the fixed points, except for the Z_2 fixed points of an even ordered orbifold. To cancel the bulk one-loop divergences a dimension six higher derivative operator is needed, in addition to the standard bulk gauge kinetic term.
|
1407.2598
|
Thomas T. Dumitrescu
|
Cyril Closset, Thomas T. Dumitrescu, Guido Festuccia, Zohar
Komargodski
|
From Rigid Supersymmetry to Twisted Holomorphic Theories
|
55 pages; minor changes
|
Phys. Rev. D 90, 085006 (2014)
|
10.1103/PhysRevD.90.085006
|
WIS/05/14-JUN-DPPA
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study N=1 field theories with a U(1)_R symmetry on compact four-manifolds
M. Supersymmetry requires M to be a complex manifold. The supersymmetric theory
on M can be described in terms of conventional fields coupled to background
supergravity, or in terms of twisted fields adapted to the complex geometry of
M. Many properties of the theory that are difficult to see in one formulation
are simpler in the other one. We use the twisted description to study the
dependence of the partition function Z_M on the geometry of M, as well as
coupling constants and background gauge fields, recovering and extending
previous results. We also indicate how to generalize our analysis to
three-dimensional N=2 theories with a U(1)_R symmetry. In this case
supersymmetry requires M to carry a transversely holomorphic foliation, which
endows it with a near-perfect analogue of complex geometry. Finally, we present
new explicit formulas for the dependence of Z_M on the choice of U(1)_R
symmetry in four and three dimensions, and illustrate them for complex
manifolds diffeomorphic to S^3 x S^1, as well as general squashed
three-spheres.
|
[
{
"created": "Wed, 9 Jul 2014 19:36:58 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Oct 2014 15:57:50 GMT",
"version": "v2"
}
] |
2014-10-08
|
[
[
"Closset",
"Cyril",
""
],
[
"Dumitrescu",
"Thomas T.",
""
],
[
"Festuccia",
"Guido",
""
],
[
"Komargodski",
"Zohar",
""
]
] |
We study N=1 field theories with a U(1)_R symmetry on compact four-manifolds M. Supersymmetry requires M to be a complex manifold. The supersymmetric theory on M can be described in terms of conventional fields coupled to background supergravity, or in terms of twisted fields adapted to the complex geometry of M. Many properties of the theory that are difficult to see in one formulation are simpler in the other one. We use the twisted description to study the dependence of the partition function Z_M on the geometry of M, as well as coupling constants and background gauge fields, recovering and extending previous results. We also indicate how to generalize our analysis to three-dimensional N=2 theories with a U(1)_R symmetry. In this case supersymmetry requires M to carry a transversely holomorphic foliation, which endows it with a near-perfect analogue of complex geometry. Finally, we present new explicit formulas for the dependence of Z_M on the choice of U(1)_R symmetry in four and three dimensions, and illustrate them for complex manifolds diffeomorphic to S^3 x S^1, as well as general squashed three-spheres.
|
hep-th/9804167
|
Zupnik B. M.
|
B.M. Zupnik
|
Harmonic Superspaces For Three-Dimensional Theories
|
This work is based on the talk given at the International Seminar
"Supersymmetries and Quantum Symmetries" dedicated to the memory of Prof.
V.I. Ogievetsky (Dubna, July 22-26, 1997). Latex file, 8 pages
| null |
10.1007/BFb0104593
| null |
hep-th
| null |
Three-dimensional field theories with N=3 and N=4 supersymmetries are
considered in the framework of the harmonic-superspace approach. Analytic
superspaces of these supersymmetries are similar; however, the geometry of
gauge theories with the manifest N=3 is richer and admits construction of the
topological mass term.
|
[
{
"created": "Mon, 27 Apr 1998 09:45:52 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Zupnik",
"B. M.",
""
]
] |
Three-dimensional field theories with N=3 and N=4 supersymmetries are considered in the framework of the harmonic-superspace approach. Analytic superspaces of these supersymmetries are similar; however, the geometry of gauge theories with the manifest N=3 is richer and admits construction of the topological mass term.
|
hep-th/0212193
|
Ofer Aharony
|
Ofer Aharony
|
The non-AdS/non-CFT correspondence, or three different paths to QCD
|
27 pages, lecture notes from the Cargese 2002 summer school. v2 :
references added. v3 : references and clarifications added
| null | null | null |
hep-th
| null |
In these lecture notes from the 2002 Cargese summer school we review the
progress that has been made towards finding a string theory for QCD (or for
pure (super)Yang-Mills theory) following the discovery of the AdS/CFT
correspondence. We start with a brief review of the AdS/CFT correspondence and
a general discussion of its application to the construction of a string theory
for QCD. We then discuss in detail two possible paths towards a QCD string
theory, one which uses a mass deformation of the N=4 super Yang-Mills theory
(the Polchinski-Strassler background) and the other using a compactification of
"little string theory" on a 2-sphere (the Maldacena-Nunez solution). A third
approach (the Klebanov-Strassler solution) is described in other lectures of
this school. We briefly assess the advantages and disadvantages of all three
approaches.
|
[
{
"created": "Tue, 17 Dec 2002 07:30:05 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Dec 2002 07:34:13 GMT",
"version": "v2"
},
{
"created": "Tue, 25 Mar 2003 17:06:36 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Aharony",
"Ofer",
""
]
] |
In these lecture notes from the 2002 Cargese summer school we review the progress that has been made towards finding a string theory for QCD (or for pure (super)Yang-Mills theory) following the discovery of the AdS/CFT correspondence. We start with a brief review of the AdS/CFT correspondence and a general discussion of its application to the construction of a string theory for QCD. We then discuss in detail two possible paths towards a QCD string theory, one which uses a mass deformation of the N=4 super Yang-Mills theory (the Polchinski-Strassler background) and the other using a compactification of "little string theory" on a 2-sphere (the Maldacena-Nunez solution). A third approach (the Klebanov-Strassler solution) is described in other lectures of this school. We briefly assess the advantages and disadvantages of all three approaches.
|
hep-th/9807209
|
Carmen Nunez
|
M. Bertolini, P. Fre, F. Hussain, R. Iengo, C. Nunez and C. Scrucca
|
Black hole - D-brane correspondence: An example
|
15 pages, LaTeX. Contribution by C. Nunez to the conference Quantum
Gravity in the Southern Cone, Bariloche 7-10 January 1998; to appear in the
proceedings
|
Int.J.Theor.Phys.38:1385-1397,1999
|
10.1023/A:1026687220230
| null |
hep-th
| null |
We explore the connection between D-branes and black holes in one particular
case: a $D3$-brane compactified to four dimensions on $T^6/Z_3$. Using the
$D$-brane boundary state description we show the equivalence with a double
extremal N=2 black hole solution of four dimensional supergravity.
|
[
{
"created": "Tue, 28 Jul 1998 18:44:23 GMT",
"version": "v1"
}
] |
2009-03-27
|
[
[
"Bertolini",
"M.",
""
],
[
"Fre",
"P.",
""
],
[
"Hussain",
"F.",
""
],
[
"Iengo",
"R.",
""
],
[
"Nunez",
"C.",
""
],
[
"Scrucca",
"C.",
""
]
] |
We explore the connection between D-branes and black holes in one particular case: a $D3$-brane compactified to four dimensions on $T^6/Z_3$. Using the $D$-brane boundary state description we show the equivalence with a double extremal N=2 black hole solution of four dimensional supergravity.
|
1301.7486
|
Martin Fluder
|
Luis F. Alday, Mathew Bullimore, Martin Fluder
|
On S-duality of the Superconformal Index on Lens Spaces and 2d TQFT
| null | null |
10.1007/JHEP05(2013)122
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the 4d superconformal index for ${\cal N}=2$ gauge theories on
$S^1 \times L(r,1)$, where $L(r,1)$ is a Lens space. We focus on a
one-parameter slice of the three-dimensional fugacity space and in that sector
we show S-duality. We do so by rewriting the index in a way that resembles a
correlation function of a 2d TFT, which however, we do not identify.
|
[
{
"created": "Thu, 31 Jan 2013 01:07:09 GMT",
"version": "v1"
}
] |
2015-06-12
|
[
[
"Alday",
"Luis F.",
""
],
[
"Bullimore",
"Mathew",
""
],
[
"Fluder",
"Martin",
""
]
] |
We consider the 4d superconformal index for ${\cal N}=2$ gauge theories on $S^1 \times L(r,1)$, where $L(r,1)$ is a Lens space. We focus on a one-parameter slice of the three-dimensional fugacity space and in that sector we show S-duality. We do so by rewriting the index in a way that resembles a correlation function of a 2d TFT, which however, we do not identify.
|
1001.2419
|
Yang-Hui Evariste He
|
Yang-Hui He
|
An Algorithmic Approach to Heterotic String Phenomenology
|
12 pages, 2 figures, invited review for Modern Physics Letters A,
|
Mod. Phys. Lett. A, Vol. 25, No. 2 (2010) pp. 79-90.
|
10.1142/S0217732310032731
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We briefly review the recent programme to construct, systematically and
algorithmically, large classes of heterotic vacua, as well as the search for
the MSSM therein. Specifically, we outline the monad construction of vector
bundles over complete intersection Calabi-Yau threefolds, their classification,
stability, equivariant cohomology and subsequent relevance to string
phenomenology. It is hoped that this top-down algorithmic approach will isolate
special corners in the heterotic landscape.
|
[
{
"created": "Thu, 14 Jan 2010 11:03:30 GMT",
"version": "v1"
}
] |
2015-05-18
|
[
[
"He",
"Yang-Hui",
""
]
] |
We briefly review the recent programme to construct, systematically and algorithmically, large classes of heterotic vacua, as well as the search for the MSSM therein. Specifically, we outline the monad construction of vector bundles over complete intersection Calabi-Yau threefolds, their classification, stability, equivariant cohomology and subsequent relevance to string phenomenology. It is hoped that this top-down algorithmic approach will isolate special corners in the heterotic landscape.
|
hep-th/9412109
|
Chongying Dong
|
Chongying Dong and Geoffrey Mason
|
On the operator content of nilpotent orbifold models
|
26 pages, Latex
| null | null | null |
hep-th math.QA q-alg
| null |
Let $V$ be a simple vertex operator algebra and $G$ be a finite nilpotent
group of automorphisms of $V.$ We prove the following in this paper: (1) There
is a Galois correspondence between subgroups of $G$ and the vertex operator
subalgebras of $V$ which contain $V^G$ given by the map $H\mapsto V^H.$ (2)
Assume that for every G\in G$ there is unique simple $g$-twisted $V$-module
$M(g).$ Then there exists a Hochschild 3-cocycle $\alpha$ on the integral group
$Z[G]$ such that there is an equivalence of categories between $V^G$-module
category (whose objects are $V^G$-submodules of direct sums of copies of
$\oplus_{g\in G}M(g),$ and whose morphisms are $V^G$-module homomorphisms) and
the module category for the twisted quantum double $D_{\alpha}(G)$ associated
to $\alpha.$
|
[
{
"created": "Mon, 12 Dec 1994 23:20:45 GMT",
"version": "v1"
}
] |
2008-02-03
|
[
[
"Dong",
"Chongying",
""
],
[
"Mason",
"Geoffrey",
""
]
] |
Let $V$ be a simple vertex operator algebra and $G$ be a finite nilpotent group of automorphisms of $V.$ We prove the following in this paper: (1) There is a Galois correspondence between subgroups of $G$ and the vertex operator subalgebras of $V$ which contain $V^G$ given by the map $H\mapsto V^H.$ (2) Assume that for every G\in G$ there is unique simple $g$-twisted $V$-module $M(g).$ Then there exists a Hochschild 3-cocycle $\alpha$ on the integral group $Z[G]$ such that there is an equivalence of categories between $V^G$-module category (whose objects are $V^G$-submodules of direct sums of copies of $\oplus_{g\in G}M(g),$ and whose morphisms are $V^G$-module homomorphisms) and the module category for the twisted quantum double $D_{\alpha}(G)$ associated to $\alpha.$
|
hep-th/9811117
|
Dean Lee
|
Dean Lee
|
Introduction to spherical field theory
| null |
Phys.Lett.B439:85-94,1998
|
10.1016/S0370-2693(98)01010-7
|
HUTP-98/A023
|
hep-th cond-mat hep-lat hep-ph
| null |
Spherical field theory is a new non-perturbative method for studying quantum
field theories. It uses the spherical partial wave expansion to reduce a
general d-dimensional Euclidean field theory into a set of coupled
one-dimensional systems. The coupled one-dimensional systems are then converted
to partial differential equations and solved numerically. We demonstrate the
methods of spherical field theory by analyzing Euclidean phi^4 theory in two
dimensions.
|
[
{
"created": "Thu, 12 Nov 1998 20:22:44 GMT",
"version": "v1"
}
] |
2010-11-19
|
[
[
"Lee",
"Dean",
""
]
] |
Spherical field theory is a new non-perturbative method for studying quantum field theories. It uses the spherical partial wave expansion to reduce a general d-dimensional Euclidean field theory into a set of coupled one-dimensional systems. The coupled one-dimensional systems are then converted to partial differential equations and solved numerically. We demonstrate the methods of spherical field theory by analyzing Euclidean phi^4 theory in two dimensions.
|
2211.01130
|
C. P. Martin Professor
|
Jesus Anero and Carmelo P. Martin
|
Unimodular gravity and the gauge/gravity duality
|
A reference added
| null |
10.1103/PhysRevD.107.046001
|
FT/UCM 121-2022
|
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
Unimodular gravity can be formulated so that transverse diffeomorphisms and
Weyl transformations are symmetries of the theory. For this formulation of
unimodular gravity, we work out the two-point and three-point $h_{\mu\nu}$
contributions to the on-shell classical gravity action in the leading
approximation and for an Euclidean AdS background. We conclude that these
contributions do not agree with those obtained by using General Relativity due
to IR divergent contact terms. The subtraction of these IR divergent terms
yields the same IR finite result for both unimodular gravity and General
Relativity. Equivalence between unimodular gravity and General Relativity with
regard to the gauge/gravity duality thus emerges in a non trivial way.
|
[
{
"created": "Wed, 2 Nov 2022 14:05:33 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Nov 2022 14:44:13 GMT",
"version": "v2"
}
] |
2023-02-15
|
[
[
"Anero",
"Jesus",
""
],
[
"Martin",
"Carmelo P.",
""
]
] |
Unimodular gravity can be formulated so that transverse diffeomorphisms and Weyl transformations are symmetries of the theory. For this formulation of unimodular gravity, we work out the two-point and three-point $h_{\mu\nu}$ contributions to the on-shell classical gravity action in the leading approximation and for an Euclidean AdS background. We conclude that these contributions do not agree with those obtained by using General Relativity due to IR divergent contact terms. The subtraction of these IR divergent terms yields the same IR finite result for both unimodular gravity and General Relativity. Equivalence between unimodular gravity and General Relativity with regard to the gauge/gravity duality thus emerges in a non trivial way.
|
1510.03128
|
Joonho Kim
|
Joonho Kim, Seok Kim, Kimyeong Lee
|
Higgsing towards E-strings
|
27 pages, 7 figures
| null | null |
KIAS-P15053, SNUTP15-010
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explore 6d (1,0) superconformal field theories with SU(3) and SU(2) gauge
symmetries which cascade after Higgsing to the E-string theory on a single M5
near an $E_8$ wall. Specifically, we study the 2d $\mathcal{N}=(0,4)$ gauge
theories which describe self-dual strings of these 6d theories. The self-dual
strings can be also viewed as instanton string solitons of 6d Yang-Mills
theories. We find the 2d anomaly-free gauge theories for self-dual strings,
amending the naive ADHM gauge theories which are anomalous, and calculate their
elliptic genera. While these 2d theories respect the flavor symmetry of each 6d
SCFT only partially, their elliptic genera manifest the symmetry fully as these
functions as BPS index are invariant in strongly coupled IR limit. Our
consistent 2d (0,4) gauge theories also provide new insights on the non-linear
sigma models for the instanton strings, providing novel UV completions of the
small instanton singularities. Finally, we construct new 2d quiver gauge
theories for the self-dual strings in 6d E-string theory for multiple M5-branes
probing the $E_8$ wall, and find their fully refined elliptic genera.
|
[
{
"created": "Mon, 12 Oct 2015 02:59:37 GMT",
"version": "v1"
}
] |
2015-10-13
|
[
[
"Kim",
"Joonho",
""
],
[
"Kim",
"Seok",
""
],
[
"Lee",
"Kimyeong",
""
]
] |
We explore 6d (1,0) superconformal field theories with SU(3) and SU(2) gauge symmetries which cascade after Higgsing to the E-string theory on a single M5 near an $E_8$ wall. Specifically, we study the 2d $\mathcal{N}=(0,4)$ gauge theories which describe self-dual strings of these 6d theories. The self-dual strings can be also viewed as instanton string solitons of 6d Yang-Mills theories. We find the 2d anomaly-free gauge theories for self-dual strings, amending the naive ADHM gauge theories which are anomalous, and calculate their elliptic genera. While these 2d theories respect the flavor symmetry of each 6d SCFT only partially, their elliptic genera manifest the symmetry fully as these functions as BPS index are invariant in strongly coupled IR limit. Our consistent 2d (0,4) gauge theories also provide new insights on the non-linear sigma models for the instanton strings, providing novel UV completions of the small instanton singularities. Finally, we construct new 2d quiver gauge theories for the self-dual strings in 6d E-string theory for multiple M5-branes probing the $E_8$ wall, and find their fully refined elliptic genera.
|
0804.2201
|
Olaf Hohm
|
Eric A. Bergshoeff, Mees de Roo and Olaf Hohm
|
Multiple M2-branes and the Embedding Tensor
|
11 pages, v2: references and discussion about G2 gauging added
|
Class.Quant.Grav.25:142001,2008
|
10.1088/0264-9381/25/14/142001
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the Bagger-Lambert theory of multiple M2-branes fits into the
general construction of maximally supersymmetric gauge theories using the
embedding tensor technique. We apply the embedding tensor technique in order to
systematically obtain the consistent gaugings of N=8 superconformal theories in
2+1 dimensions. This leads to the Bagger-Lambert theory, with the embedding
tensor playing the role of the four-index antisymmetric tensor defining a
``3-algebra''. We present an alternative formulation of the theory in which the
embedding tensor is replaced by a set of unrestricted scalar fields. By taking
these scalar fields to be parity-odd, the Chern-Simons term can be made
parity-invariant.
|
[
{
"created": "Mon, 14 Apr 2008 15:27:12 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Apr 2008 15:20:32 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Bergshoeff",
"Eric A.",
""
],
[
"de Roo",
"Mees",
""
],
[
"Hohm",
"Olaf",
""
]
] |
We show that the Bagger-Lambert theory of multiple M2-branes fits into the general construction of maximally supersymmetric gauge theories using the embedding tensor technique. We apply the embedding tensor technique in order to systematically obtain the consistent gaugings of N=8 superconformal theories in 2+1 dimensions. This leads to the Bagger-Lambert theory, with the embedding tensor playing the role of the four-index antisymmetric tensor defining a ``3-algebra''. We present an alternative formulation of the theory in which the embedding tensor is replaced by a set of unrestricted scalar fields. By taking these scalar fields to be parity-odd, the Chern-Simons term can be made parity-invariant.
|
1705.03331
|
A. Yu. Petrov
|
M. B. Cruz, E. R. Bezerra de Mello, A. Yu. Petrov
|
Casimir effects in Lorentz-violating scalar field theory
|
22 pages, version accepted to PRD
|
Phys. Rev. D 96, 045019 (2017)
|
10.1103/PhysRevD.96.045019
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we consider a Lorentz-breaking extension of the theory for a
real massive scalar quantum field in the region between two large parallel
plates, with our manner to break the Lorentz symmetry is CPT-even, aether-like.
For this system we calculated the Casimir energy considering different boundary
conditions. It turns out to be that the Casimir energy strongly depends on the
direction of the constant vector implementing the Lorentz symmetry breaking, as
well as on the boundary conditions.
|
[
{
"created": "Tue, 9 May 2017 13:47:37 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Aug 2017 13:30:02 GMT",
"version": "v2"
}
] |
2017-09-01
|
[
[
"Cruz",
"M. B.",
""
],
[
"de Mello",
"E. R. Bezerra",
""
],
[
"Petrov",
"A. Yu.",
""
]
] |
In this paper we consider a Lorentz-breaking extension of the theory for a real massive scalar quantum field in the region between two large parallel plates, with our manner to break the Lorentz symmetry is CPT-even, aether-like. For this system we calculated the Casimir energy considering different boundary conditions. It turns out to be that the Casimir energy strongly depends on the direction of the constant vector implementing the Lorentz symmetry breaking, as well as on the boundary conditions.
|
hep-th/9608010
|
Alberto Cassas
|
J.A. Casas
|
The Problem of the Stabilization of the Dilaton in String Theories
|
7 pages, LaTeX. Talk given at SUSY-96, Univ. of Maryland, College
Park, May 29 - June 1, 1996
|
Nucl.Phys.Proc.Suppl. 52A (1997) 289-293
|
10.1016/S0920-5632(96)00579-8
| null |
hep-th hep-ph
| null |
The crucial problem of how the dilaton field is stabilized at a
phenomenologically acceptable value in string theories remains essentially
unsolved. We show that the usual scenario of assuming that the dilaton is fixed
by the (SUSY breaking) dynamics of just the dilaton itself (dilaton dominance
scenario) is {\em inconsistent} unless the K\"ahler potential receives very
important perturbative or non-perturbative contributions. Then, the usual
predictions about soft breaking terms are lost, but still is possible to derive
model-independent predictions for them.
|
[
{
"created": "Thu, 1 Aug 1996 22:35:55 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Casas",
"J. A.",
""
]
] |
The crucial problem of how the dilaton field is stabilized at a phenomenologically acceptable value in string theories remains essentially unsolved. We show that the usual scenario of assuming that the dilaton is fixed by the (SUSY breaking) dynamics of just the dilaton itself (dilaton dominance scenario) is {\em inconsistent} unless the K\"ahler potential receives very important perturbative or non-perturbative contributions. Then, the usual predictions about soft breaking terms are lost, but still is possible to derive model-independent predictions for them.
|
1709.04557
|
Andrew K. Waldron
|
Gabriel Herczeg and Andrew Waldron
|
Contact Geometry and Quantum Mechanics
|
7 pages, 1 figure, LaTeX, references added, journal version
|
Physics Letters B, Volume 781, p. 312-315, 2018
|
10.1016/j.physletb.2018.04.008
| null |
hep-th gr-qc math-ph math.DG math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a generally covariant approach to quantum mechanics in which
generalized positions, momenta and time variables are treated as coordinates on
a fundamental "phase-spacetime." We show that this covariant starting point
makes quantization into a purely geometric flatness condition. This makes
quantum mechanics purely geometric, and possibly even topological. Our approach
is especially useful for time-dependent problems and systems subject to
ambiguities in choices of clock or observer. As a byproduct, we give a
derivation and generalization of the Wigner functions of standard quantum
mechanics.
|
[
{
"created": "Wed, 13 Sep 2017 22:34:10 GMT",
"version": "v1"
},
{
"created": "Tue, 29 May 2018 22:19:20 GMT",
"version": "v2"
}
] |
2018-05-31
|
[
[
"Herczeg",
"Gabriel",
""
],
[
"Waldron",
"Andrew",
""
]
] |
We present a generally covariant approach to quantum mechanics in which generalized positions, momenta and time variables are treated as coordinates on a fundamental "phase-spacetime." We show that this covariant starting point makes quantization into a purely geometric flatness condition. This makes quantum mechanics purely geometric, and possibly even topological. Our approach is especially useful for time-dependent problems and systems subject to ambiguities in choices of clock or observer. As a byproduct, we give a derivation and generalization of the Wigner functions of standard quantum mechanics.
|
hep-th/0409088
|
Gianluca Calcagni
|
Gianluca Calcagni
|
Braneworld cosmology almost without branes
|
8 pages, cargese.cls; contribution to Proceedings of Cargese Summer
School 2004, NATO Science Series C; v2-3: typos corrected
| null | null |
UPRF-2004-16
|
hep-th astro-ph gr-qc
| null |
We review some general aspects of braneworld cosmologies in which an
inflationary period driven by a scalar field confined on the brane is described
by a nonstandard effective Friedmann equation. The perturbation spectra,
consistency equations and observational consequences of these models are
considered.
|
[
{
"created": "Tue, 7 Sep 2004 17:55:25 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Nov 2004 09:54:47 GMT",
"version": "v2"
},
{
"created": "Sat, 20 Nov 2004 14:06:45 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Calcagni",
"Gianluca",
""
]
] |
We review some general aspects of braneworld cosmologies in which an inflationary period driven by a scalar field confined on the brane is described by a nonstandard effective Friedmann equation. The perturbation spectra, consistency equations and observational consequences of these models are considered.
|
0809.1339
|
Wolfgang Schleifenbaum
|
W. Schleifenbaum
|
Nonperturbative aspects of Yang-Mills theory
|
PhD thesis, advisor: H. Reinhardt, Univ. of Tuebingen, 165 pages
| null | null | null |
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this thesis, several aspects of Yang-Mills theory are studied. It begins
with the constrained quantization in the Coulomb gauge, using the Dirac bracket
formalism. A nonperturbative analysis of the infrared asymptotics of
propagators in any spatial dimension follows, and a connection to the Landau
gauge is given. In the Coulomb gauge Hamiltonian approach, a linearly rising
static color Coulomb potential is found, along with an infrared diverging gluon
energy, both signaling confinement. The propagators and vertices in the entire
momentum regime are calculated with the variational principle. In the
ultraviolet, a nonperturbative running coupling constant is studied, and
certain asymptotic forms of the propagators are postulated. Furthermore, the
back reaction of the gauge sector to the inclusion of external charges is
investigated.
|
[
{
"created": "Mon, 8 Sep 2008 13:44:01 GMT",
"version": "v1"
}
] |
2008-09-10
|
[
[
"Schleifenbaum",
"W.",
""
]
] |
In this thesis, several aspects of Yang-Mills theory are studied. It begins with the constrained quantization in the Coulomb gauge, using the Dirac bracket formalism. A nonperturbative analysis of the infrared asymptotics of propagators in any spatial dimension follows, and a connection to the Landau gauge is given. In the Coulomb gauge Hamiltonian approach, a linearly rising static color Coulomb potential is found, along with an infrared diverging gluon energy, both signaling confinement. The propagators and vertices in the entire momentum regime are calculated with the variational principle. In the ultraviolet, a nonperturbative running coupling constant is studied, and certain asymptotic forms of the propagators are postulated. Furthermore, the back reaction of the gauge sector to the inclusion of external charges is investigated.
|
1312.0014
|
Sven Krippendorf
|
Michele Cicoli and Denis Klevers and Sven Krippendorf and Christoph
Mayrhofer and Fernando Quevedo and Roberto Valandro
|
Explicit de Sitter Flux Vacua for Global String Models with Chiral
Matter
|
49 pages, 5 figures; v2: references added
| null |
10.1007/JHEP05(2014)001
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We address the open question of performing an explicit stabilisation of all
closed string moduli (including dilaton, complex structure and Kaehler moduli)
in fluxed type IIB Calabi-Yau compactifications with chiral matter. Using toric
geometry we construct Calabi-Yau manifolds with del Pezzo singularities.
D-branes located at such singularities can support the Standard Model gauge
group and matter content. In order to control complex structure moduli
stabilisation we consider Calabi-Yau manifolds which exhibit a discrete
symmetry that reduces the effective number of complex structure moduli. We
calculate the corresponding periods in the symplectic basis of invariant
three-cycles and find explicit flux vacua for concrete examples. We compute the
values of the flux superpotential and the string coupling at these vacua.
Starting from these explicit complex structure solutions, we obtain AdS and dS
minima where the Kaehler moduli are stabilised by a mixture of D-terms,
non-perturbative and perturbative alpha'-corrections as in the LARGE Volume
Scenario. In the considered example the visible sector lives at a dP_6
singularity which can be higgsed to the phenomenologically interesting class of
models at the dP_3 singularity.
|
[
{
"created": "Fri, 29 Nov 2013 21:02:53 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Dec 2013 20:53:04 GMT",
"version": "v2"
}
] |
2015-06-18
|
[
[
"Cicoli",
"Michele",
""
],
[
"Klevers",
"Denis",
""
],
[
"Krippendorf",
"Sven",
""
],
[
"Mayrhofer",
"Christoph",
""
],
[
"Quevedo",
"Fernando",
""
],
[
"Valandro",
"Roberto",
""
]
] |
We address the open question of performing an explicit stabilisation of all closed string moduli (including dilaton, complex structure and Kaehler moduli) in fluxed type IIB Calabi-Yau compactifications with chiral matter. Using toric geometry we construct Calabi-Yau manifolds with del Pezzo singularities. D-branes located at such singularities can support the Standard Model gauge group and matter content. In order to control complex structure moduli stabilisation we consider Calabi-Yau manifolds which exhibit a discrete symmetry that reduces the effective number of complex structure moduli. We calculate the corresponding periods in the symplectic basis of invariant three-cycles and find explicit flux vacua for concrete examples. We compute the values of the flux superpotential and the string coupling at these vacua. Starting from these explicit complex structure solutions, we obtain AdS and dS minima where the Kaehler moduli are stabilised by a mixture of D-terms, non-perturbative and perturbative alpha'-corrections as in the LARGE Volume Scenario. In the considered example the visible sector lives at a dP_6 singularity which can be higgsed to the phenomenologically interesting class of models at the dP_3 singularity.
|
1901.06338
|
Ingolf Bischer
|
Ingolf Bischer, Thierry Grandou and Ralf Hofmann
|
On Quantum Fields at High Temperature
|
16 pages, 5 figures
|
Universe 2019, 5(1), 26
|
10.3390/universe5010026
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Revisiting the fast fermion damping rate calculation in a thermalized QED
and/or QCD plasma at 4-loop order, focus is put on a peculiar perturbative
structure which has no equivalent at zero-temperature. Not surprisingly and in
agreement with previous $C^\star$-algebraic analyses, this structure renders
the use of thermal perturbation theory quite questionable.
|
[
{
"created": "Fri, 18 Jan 2019 16:52:51 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Jan 2019 12:45:41 GMT",
"version": "v2"
}
] |
2019-02-14
|
[
[
"Bischer",
"Ingolf",
""
],
[
"Grandou",
"Thierry",
""
],
[
"Hofmann",
"Ralf",
""
]
] |
Revisiting the fast fermion damping rate calculation in a thermalized QED and/or QCD plasma at 4-loop order, focus is put on a peculiar perturbative structure which has no equivalent at zero-temperature. Not surprisingly and in agreement with previous $C^\star$-algebraic analyses, this structure renders the use of thermal perturbation theory quite questionable.
|
1905.07632
|
Alberto Escalante
|
R. Cartas-Fuentevilla, A. Escalante-Hern\'andez, A. Herrera-aguilar
(Puebla U., Inst. Fis.), R. Navarro-P\'erez (Granada. U)
|
A dynamical metric and its ground state from the breaking down of the
topological invariance of the Euler characteristic
| null | null |
10.1140/epjc/s10052-019-7220-7
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Quantum state wave functionals are constructed in exact form for the
graviton-like field theory obtained by breaking down the topological symmetry
of the string action related with the Euler characteristic of the
world-surface; their continuous and discrete symmetries are discussed. The
comparison with the so-called Chern-Simons state, which may be inappropriate as
quantum state, allows us to conclude that the found wave functionals will give
a plausible approximation to the ground state for the considered field theory.
|
[
{
"created": "Sat, 18 May 2019 19:48:02 GMT",
"version": "v1"
}
] |
2019-09-04
|
[
[
"Cartas-Fuentevilla",
"R.",
"",
"Puebla U., Inst. Fis."
],
[
"Escalante-Hernández",
"A.",
"",
"Puebla U., Inst. Fis."
],
[
"Herrera-aguilar",
"A.",
"",
"Puebla U., Inst. Fis."
],
[
"Navarro-Pérez",
"R.",
"",
"Granada. U"
]
] |
Quantum state wave functionals are constructed in exact form for the graviton-like field theory obtained by breaking down the topological symmetry of the string action related with the Euler characteristic of the world-surface; their continuous and discrete symmetries are discussed. The comparison with the so-called Chern-Simons state, which may be inappropriate as quantum state, allows us to conclude that the found wave functionals will give a plausible approximation to the ground state for the considered field theory.
|
hep-th/0203193
|
Hwang Jaechan
|
J. Hwang, H. Noh
|
Identification of perturbation modes and controversies in ekpyrotic
perturbations
|
5 pages, substantially revised, match with PLB version
|
Phys.Lett. B545 (2002) 207-213
|
10.1016/S0370-2693(02)02598-4
| null |
hep-th astro-ph gr-qc hep-ph
| null |
If the linear perturbation theory is valid through the bounce, the surviving
fluctuations from the ekpyrotic scenario (cyclic one as well) should have very
blue spectra with suppressed amplitude for the scalar-type structure. We derive
the same (and consistent) result using the curvature perturbation in the
uniform-field (comoving) gauge and in the zero-shear gauge. Previously, Khoury
et al. interpreted results from the latter gauge condition incorrectly and
claimed the scale-invariant spectrum, thus generating controversy in the
literature. We also correct similar errors in the literature based on wrong
mode identification and joining condition. No joining condition is needed for
the derivation.
|
[
{
"created": "Thu, 21 Mar 2002 07:13:31 GMT",
"version": "v1"
},
{
"created": "Sat, 15 Feb 2003 01:29:45 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Hwang",
"J.",
""
],
[
"Noh",
"H.",
""
]
] |
If the linear perturbation theory is valid through the bounce, the surviving fluctuations from the ekpyrotic scenario (cyclic one as well) should have very blue spectra with suppressed amplitude for the scalar-type structure. We derive the same (and consistent) result using the curvature perturbation in the uniform-field (comoving) gauge and in the zero-shear gauge. Previously, Khoury et al. interpreted results from the latter gauge condition incorrectly and claimed the scale-invariant spectrum, thus generating controversy in the literature. We also correct similar errors in the literature based on wrong mode identification and joining condition. No joining condition is needed for the derivation.
|
2208.01656
|
Niccol\`o Cribiori
|
Ralph Blumenhagen, Niccol\`o Cribiori, Christian Kneissl, Andriana
Makridou
|
Dimensional Reduction of Cobordism and K-theory
|
55 pages + appendices, v2: major modifications in sec. 4.3, published
version
| null |
10.1007/JHEP03(2023)181
|
MPP-2022-95
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It has been proposed that cobordism and K-theory groups, which can be
mathematically related in certain cases, are physically associated to
generalised higher-form symmetries. As a consequence, they should be broken or
gauged in any consistent theory of quantum gravity, in accordance with
swampland conjectures. We provide further support to this idea by showing that
cobordism and K-theory groups of a general manifold $X$ reproduce the pattern
of symmetries expected from the dimensional reduction of the theory on $X$, as
well as their breaking and gauging. To this end, we employ the
Atiyah-Hirzebruch spectral sequence to compute such groups for common choices
of $X$ in string compactifications.
|
[
{
"created": "Tue, 2 Aug 2022 18:00:03 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Mar 2023 13:35:33 GMT",
"version": "v2"
}
] |
2023-04-12
|
[
[
"Blumenhagen",
"Ralph",
""
],
[
"Cribiori",
"Niccolò",
""
],
[
"Kneissl",
"Christian",
""
],
[
"Makridou",
"Andriana",
""
]
] |
It has been proposed that cobordism and K-theory groups, which can be mathematically related in certain cases, are physically associated to generalised higher-form symmetries. As a consequence, they should be broken or gauged in any consistent theory of quantum gravity, in accordance with swampland conjectures. We provide further support to this idea by showing that cobordism and K-theory groups of a general manifold $X$ reproduce the pattern of symmetries expected from the dimensional reduction of the theory on $X$, as well as their breaking and gauging. To this end, we employ the Atiyah-Hirzebruch spectral sequence to compute such groups for common choices of $X$ in string compactifications.
|
hep-th/9901116
|
Zbigniew Jaskolski
|
Zbigniew Hasiewicz, Zbigniew Jaskolski, Andrzej Ostrowski
|
Spectrum Generating Algebra and No-Ghost Theorem for Fermionic Massive
String
|
17 pages
|
Nucl.Phys. B551 (1999) 705-722
|
10.1016/S0550-3213(99)00256-4
|
IFT UWr 922/99
|
hep-th
| null |
The covariant operator quantization of the ordinary free spinning BDH string
modified by adding the supersymmetric Liouville sector is analysed in the even
target space dimensions $d=2,4,6,8$. The spectrum generating algebra for this
model is constructed and a general version of the no-ghost theorem is proven. A
counterpart of the GSO projection leads to a family of tachyon free unitary
free string theories. One of these models is equivalent to the non-critical
Rammond-Neveu-Schwarz spinning string truncated in the Neveu-Schwarz sector to
the tachyon free eigenspace of the fermion parity operator.
|
[
{
"created": "Sat, 23 Jan 1999 12:48:05 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Hasiewicz",
"Zbigniew",
""
],
[
"Jaskolski",
"Zbigniew",
""
],
[
"Ostrowski",
"Andrzej",
""
]
] |
The covariant operator quantization of the ordinary free spinning BDH string modified by adding the supersymmetric Liouville sector is analysed in the even target space dimensions $d=2,4,6,8$. The spectrum generating algebra for this model is constructed and a general version of the no-ghost theorem is proven. A counterpart of the GSO projection leads to a family of tachyon free unitary free string theories. One of these models is equivalent to the non-critical Rammond-Neveu-Schwarz spinning string truncated in the Neveu-Schwarz sector to the tachyon free eigenspace of the fermion parity operator.
|
1708.05833
|
Rico Z\"ollner
|
Rico Z\"ollner, Burkhard K\"ampfer
|
Holographic vector mesons in a dilaton background
|
Contribution to FAIRness 2017 - FAIR next generation scientists - 5th
Edition Workshop (May 28, 2017 to June 3, 2017 in Sitges, Spain)
| null |
10.1088/1742-6596/1024/1/012003
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Within a holographic framework, we consider vector mesons riding on a
gravity-dilaton background. The latter one is determined directly from a
Schr\"odinger equivalent potential which delivers a proper $\rho$ meson Regge
trajectory. The mapping on the dilaton potential yields a thermodynamic phase
structure with a first-order transition.
|
[
{
"created": "Sat, 19 Aug 2017 11:30:23 GMT",
"version": "v1"
}
] |
2018-07-04
|
[
[
"Zöllner",
"Rico",
""
],
[
"Kämpfer",
"Burkhard",
""
]
] |
Within a holographic framework, we consider vector mesons riding on a gravity-dilaton background. The latter one is determined directly from a Schr\"odinger equivalent potential which delivers a proper $\rho$ meson Regge trajectory. The mapping on the dilaton potential yields a thermodynamic phase structure with a first-order transition.
|
hep-th/0607135
|
Akikazu Hashimoto
|
Ian Ellwood and Akikazu Hashimoto
|
Effective descriptions of branes on non-geometric tori
|
22 pages, 4 figures, references added
|
JHEP0612:025,2006
|
10.1088/1126-6708/2006/12/025
|
MAD-TH-06-7
|
hep-th
| null |
We investigate the low-energy effective description of non-geometric
compactifications constructed by T-dualizing two or three of the directions of
a T^3 with non-vanishing H-flux. Our approach is to introduce a D3-brane in
these geometries and to take an appropriate decoupling limit. In the case of
two T-dualities, we find at low energies a non-commutative T^2 fibered
non-trivially over an S^1. In the UV this theory is still decoupled from
gravity, but is dual to a little string theory with flavor. For the case of
three T-dualities, we do not find a sensible decoupling limit, casting doubt on
this geometry as a low-energy effective notion in critical string theory.
However, by studying a topological toy model in this background, we find a
non-associative geometry similar to one found by Bouwknegt, Hannabuss, and
Mathai.
|
[
{
"created": "Wed, 19 Jul 2006 22:00:58 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Feb 2007 13:05:53 GMT",
"version": "v2"
},
{
"created": "Mon, 5 Feb 2007 22:20:01 GMT",
"version": "v3"
}
] |
2009-11-11
|
[
[
"Ellwood",
"Ian",
""
],
[
"Hashimoto",
"Akikazu",
""
]
] |
We investigate the low-energy effective description of non-geometric compactifications constructed by T-dualizing two or three of the directions of a T^3 with non-vanishing H-flux. Our approach is to introduce a D3-brane in these geometries and to take an appropriate decoupling limit. In the case of two T-dualities, we find at low energies a non-commutative T^2 fibered non-trivially over an S^1. In the UV this theory is still decoupled from gravity, but is dual to a little string theory with flavor. For the case of three T-dualities, we do not find a sensible decoupling limit, casting doubt on this geometry as a low-energy effective notion in critical string theory. However, by studying a topological toy model in this background, we find a non-associative geometry similar to one found by Bouwknegt, Hannabuss, and Mathai.
|
hep-th/0504123
|
Yuji Satoh
|
Hiroyuki Fuji and Yuji Satoh
|
Quantum fluctuations of rotating strings in AdS_5 x S^5
|
27 pages, no figures; (v2) references added; (v3) explanations added
|
Int.J.Mod.Phys.A21:3673-3698,2006
|
10.1142/S0217751X06031533
|
EPHOU-05-002, KEK-TH-1004, Imperial/TP/050402, UTHEP-502
|
hep-th
| null |
We discuss quantum fluctuations of a class of rotating strings in AdS_5 x
S^5. In particular, we develop a systematic method to compute the one-loop
sigma-model effective actions in closed forms as expansions for large spins. As
examples, we explicitly evaluate the leading terms for the constant radii
strings in the SO(6) sector with two equal spins, the SU(2) sector, and the
SL(2) sector. We also obtain the leading quantum corrections to the space-time
energy for these sectors.
|
[
{
"created": "Wed, 13 Apr 2005 18:42:00 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Apr 2005 13:26:07 GMT",
"version": "v2"
},
{
"created": "Wed, 11 Jan 2006 18:46:53 GMT",
"version": "v3"
}
] |
2009-11-11
|
[
[
"Fuji",
"Hiroyuki",
""
],
[
"Satoh",
"Yuji",
""
]
] |
We discuss quantum fluctuations of a class of rotating strings in AdS_5 x S^5. In particular, we develop a systematic method to compute the one-loop sigma-model effective actions in closed forms as expansions for large spins. As examples, we explicitly evaluate the leading terms for the constant radii strings in the SO(6) sector with two equal spins, the SU(2) sector, and the SL(2) sector. We also obtain the leading quantum corrections to the space-time energy for these sectors.
|
hep-th/0303170
|
Cliff Burgess
|
C.P. Burgess, P. Martineau, F. Quevedo and R. Rabadan
|
Branonium
|
34 pages, LaTeX, 4 figures, uses JHEP3
|
JHEP0306:037,2003
|
10.1088/1126-6708/2003/06/037
|
McGill-03/04
|
hep-th
| null |
We study the bound states of brane/antibrane systems by examining the motion
of a probe antibrane moving in the background fields of N source branes. The
classical system resembles the point-particle central force problem, and the
orbits can be solved by quadrature. Generically the antibrane has orbits which
are not closed on themselves. An important special case occurs for some
Dp-branes moving in three transverse dimensions, in which case the orbits may
be obtained in closed form, giving the standard conic sections but with a
nonstandard time evolution along the orbit. Somewhat surprisingly, in this case
the resulting elliptical orbits are exact solutions, and do not simply apply in
the limit of asymptotically-large separation or non-relativistic velocities.
The orbits eventually decay through the radiation of massless modes into the
bulk and onto the branes, and we estimate this decay time. Applications of
these orbits to cosmology are discussed in a companion paper.
|
[
{
"created": "Wed, 19 Mar 2003 21:39:05 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Burgess",
"C. P.",
""
],
[
"Martineau",
"P.",
""
],
[
"Quevedo",
"F.",
""
],
[
"Rabadan",
"R.",
""
]
] |
We study the bound states of brane/antibrane systems by examining the motion of a probe antibrane moving in the background fields of N source branes. The classical system resembles the point-particle central force problem, and the orbits can be solved by quadrature. Generically the antibrane has orbits which are not closed on themselves. An important special case occurs for some Dp-branes moving in three transverse dimensions, in which case the orbits may be obtained in closed form, giving the standard conic sections but with a nonstandard time evolution along the orbit. Somewhat surprisingly, in this case the resulting elliptical orbits are exact solutions, and do not simply apply in the limit of asymptotically-large separation or non-relativistic velocities. The orbits eventually decay through the radiation of massless modes into the bulk and onto the branes, and we estimate this decay time. Applications of these orbits to cosmology are discussed in a companion paper.
|
hep-th/9909093
|
Dario Martelli
|
Dario Martelli
|
Field Theory Duals from (Non)-Critical Type 0 Strings
|
5 pages, LaTeX + cargese.cls, contribution to proceedings of NATO-ASI
and TMR Summer School ``Progress in String Theory and M-Theory'', Cargese,
May 24 - June 5 1999
| null | null | null |
hep-th
| null |
We review some aspects of Polyakov's proposal for constructing
nonsupersymmetric field theories from non-critical Type 0 string theory.
|
[
{
"created": "Tue, 14 Sep 1999 11:07:15 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Martelli",
"Dario",
""
]
] |
We review some aspects of Polyakov's proposal for constructing nonsupersymmetric field theories from non-critical Type 0 string theory.
|
1410.1822
|
I-Sheng Yang
|
Mustafa A. Amin, Indranil Banik, Carina Nagreanu and I-Sheng Yang
|
Ultra-relativistic oscillon collisions
|
12 pages, 3 figures, version 2, added one reference and matching the
version to appear on PRD
| null |
10.1103/PhysRevD.90.085024
| null |
hep-th astro-ph.HE nlin.PS
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this short note we investigate the ultra-relativistic collisions of small
amplitude oscillons in 1+1 dimensions. Using the amplitude of the oscillons and
the inverse relativistic boost factor $\gamma^{-1}$ as the perturbation
variables, we analytically calculate the leading order spatial and temporal
phase shifts, and the change in the amplitude of the oscillons after the
collisions. At leading order, we find that only the temporal phase shift
receives a nonzero contribution, and that the collision is elastic. This work
is also the first application of the general kinematic framework for
understanding ultra-relativistic collisions (arXiv:1308.0606) to intrinsically
time-dependent solitons.
|
[
{
"created": "Tue, 7 Oct 2014 17:55:44 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Oct 2014 10:50:56 GMT",
"version": "v2"
}
] |
2015-06-23
|
[
[
"Amin",
"Mustafa A.",
""
],
[
"Banik",
"Indranil",
""
],
[
"Nagreanu",
"Carina",
""
],
[
"Yang",
"I-Sheng",
""
]
] |
In this short note we investigate the ultra-relativistic collisions of small amplitude oscillons in 1+1 dimensions. Using the amplitude of the oscillons and the inverse relativistic boost factor $\gamma^{-1}$ as the perturbation variables, we analytically calculate the leading order spatial and temporal phase shifts, and the change in the amplitude of the oscillons after the collisions. At leading order, we find that only the temporal phase shift receives a nonzero contribution, and that the collision is elastic. This work is also the first application of the general kinematic framework for understanding ultra-relativistic collisions (arXiv:1308.0606) to intrinsically time-dependent solitons.
|
1107.3305
|
Bernard de Wit
|
Bernard de Wit, Maaike van Zalk
|
Electric and magnetic charges in N=2 conformal supergravity theories
|
49 pages, typos corrected
| null |
10.1007/JHEP10(2011)050
|
ITP-UU-11/23, Nikhef-2011-021
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
General Lagrangians are constructed for N=2 conformal supergravity theories
in four space-time dimensions involving gauge groups with abelian and/or
non-abelian electric and magnetic charges. The charges are encoded in the gauge
group embedding tensor. The scalar potential induced by the gauge interactions
is quadratic in this tensor, and, when the embedding tensor is treated as a
spurionic quantity, it is formally covariant with respect to electric/magnetic
duality. This work establishes a general framework for studying any deformation
induced by gauge interactions of matter-coupled N=2 supergravity theories. As
an application, full and residual supersymmetry realizations in maximally
symmetric space-times are reviewed. Furthermore, a general classification is
presented of supersymmetric solutions in $\mathrm{AdS}_2\times S^2$
space-times. As it turns out, these solutions allow either eight or four
supersymmetries. With four supersymmetries, the spinorial parameters are
Killing spinors of $\mathrm{AdS}_2$ that are constant on $S^2$, so that they
carry no spin, while the bosonic background is rotationally invariant.
|
[
{
"created": "Sun, 17 Jul 2011 14:38:57 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Aug 2011 17:11:03 GMT",
"version": "v2"
},
{
"created": "Mon, 10 Oct 2011 12:08:40 GMT",
"version": "v3"
}
] |
2015-05-28
|
[
[
"de Wit",
"Bernard",
""
],
[
"van Zalk",
"Maaike",
""
]
] |
General Lagrangians are constructed for N=2 conformal supergravity theories in four space-time dimensions involving gauge groups with abelian and/or non-abelian electric and magnetic charges. The charges are encoded in the gauge group embedding tensor. The scalar potential induced by the gauge interactions is quadratic in this tensor, and, when the embedding tensor is treated as a spurionic quantity, it is formally covariant with respect to electric/magnetic duality. This work establishes a general framework for studying any deformation induced by gauge interactions of matter-coupled N=2 supergravity theories. As an application, full and residual supersymmetry realizations in maximally symmetric space-times are reviewed. Furthermore, a general classification is presented of supersymmetric solutions in $\mathrm{AdS}_2\times S^2$ space-times. As it turns out, these solutions allow either eight or four supersymmetries. With four supersymmetries, the spinorial parameters are Killing spinors of $\mathrm{AdS}_2$ that are constant on $S^2$, so that they carry no spin, while the bosonic background is rotationally invariant.
|
hep-th/0407220
|
Fidel Schaposnik
|
D.H. Correa, C.D. Fosco, F.A. Schaposnik and G. Torroba
|
On Coordinate Transformations in Planar Noncommutative Theories
|
20 pages, 1 figure. references added
|
JHEP0409:064,2004
|
10.1088/1126-6708/2004/09/064
| null |
hep-th
| null |
We consider planar noncommutative theories such that the coordinates verify a
space-dependent commutation relation. We show that, in some special cases, new
coordinates may be introduced that have a constant commutator, and as a
consequence the construction of Field Theory models may be carried out by an
application of the standard Moyal approach in terms of the new coordinates. We
apply these ideas to the concrete example of a noncommutative plane with a
curved interface. We also show how to extend this method to more general
situations.
|
[
{
"created": "Mon, 26 Jul 2004 20:00:04 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Oct 2004 14:52:55 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Correa",
"D. H.",
""
],
[
"Fosco",
"C. D.",
""
],
[
"Schaposnik",
"F. A.",
""
],
[
"Torroba",
"G.",
""
]
] |
We consider planar noncommutative theories such that the coordinates verify a space-dependent commutation relation. We show that, in some special cases, new coordinates may be introduced that have a constant commutator, and as a consequence the construction of Field Theory models may be carried out by an application of the standard Moyal approach in terms of the new coordinates. We apply these ideas to the concrete example of a noncommutative plane with a curved interface. We also show how to extend this method to more general situations.
|
1909.06716
|
Gabriel Arenas-Henriquez
|
Gabriel Arenas-Henriquez
|
Black Hole Energy in Lovelock Unique Vacuum theories
|
57 pages, 1 figure, MSc thesis. v2: typos corrected, references added
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this thesis, we explore the possibility to define black hole mass in terms
of the Weyl tensor for the entire family of Lovelock-AdS gravity theories. The
level of degeneracy $k$ of the corresponding vacuum fixes the number of
curvatures that should appear in the energy formula. Therefore, the charge
expression which is a polynomial of maximal degree in the curvature, can be
consistently truncated to an order $k$ in the Weyl tensor. In particular, for
the maximally degenerate case in odd dimensions (Chern-Simons AdS) the
expression identically vanishes and the mass must come from the formula that,
in the other cases, produces the vacuum energy.
|
[
{
"created": "Sun, 15 Sep 2019 02:31:59 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Feb 2020 16:04:32 GMT",
"version": "v2"
}
] |
2020-02-13
|
[
[
"Arenas-Henriquez",
"Gabriel",
""
]
] |
In this thesis, we explore the possibility to define black hole mass in terms of the Weyl tensor for the entire family of Lovelock-AdS gravity theories. The level of degeneracy $k$ of the corresponding vacuum fixes the number of curvatures that should appear in the energy formula. Therefore, the charge expression which is a polynomial of maximal degree in the curvature, can be consistently truncated to an order $k$ in the Weyl tensor. In particular, for the maximally degenerate case in odd dimensions (Chern-Simons AdS) the expression identically vanishes and the mass must come from the formula that, in the other cases, produces the vacuum energy.
|
hep-th/0308171
|
Ali Imaanpur
|
Ali Imaanpur
|
On Instantons and Zero Modes of N=1/2 SYM Theory
|
9 pages, latex file, added references, minor changes
|
JHEP 0309 (2003) 077
|
10.1088/1126-6708/2003/09/077
|
IPM/P-2003/051
|
hep-th
| null |
We study zero modes of N=1/2 supersymmetric Yang-Mills action in the
background of instantons. In this background, because of a quartic antichiral
fermionic term in the action, the fermionic solutions of the equations of
motion are not in general zero modes of the action. Hence, when there are
fermionic solutions, the action is no longer minimized by instantons. By
deforming the instanton equation in the presence of fermions, we write down the
zero mode equations. The solutions satisfy the equations of motion, and
saturate the BPS bound. The deformed instanton equations imply that the finite
action solutions have U(1) connections which are not flat anymore.
|
[
{
"created": "Tue, 26 Aug 2003 10:45:11 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Sep 2003 13:00:08 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Imaanpur",
"Ali",
""
]
] |
We study zero modes of N=1/2 supersymmetric Yang-Mills action in the background of instantons. In this background, because of a quartic antichiral fermionic term in the action, the fermionic solutions of the equations of motion are not in general zero modes of the action. Hence, when there are fermionic solutions, the action is no longer minimized by instantons. By deforming the instanton equation in the presence of fermions, we write down the zero mode equations. The solutions satisfy the equations of motion, and saturate the BPS bound. The deformed instanton equations imply that the finite action solutions have U(1) connections which are not flat anymore.
|
hep-th/0209247
|
Aninda Sinha
|
Aninda Sinha and Nemani V Suryanarayana
|
Tadpole Analysis of Orientifolded Plane-Waves
|
22+1 pages, 3 figures References added, minor typos corrected
|
JHEP 0211 (2002) 026
|
10.1088/1126-6708/2002/11/026
|
DAMTP-2002-100
|
hep-th
| null |
We study orientifolds of type IIB string theory in the plane-wave background
supported by null RR 3-form flux F^{(3)}. We describe how to extract the RR
tadpoles in the Green-Schwarz formalism in a general setting. Two models with
orientifold groups {1, \Omega} and {1,\Omega I_4}, which are T-dual to each
other, are considered. Consistency of these backgrounds requires 32 D9 branes
for the first model and 32 D5 branes for the second one. We study the spectra
and comment on the heterotic duals of our models.
|
[
{
"created": "Fri, 27 Sep 2002 19:17:19 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Oct 2002 11:23:44 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Sinha",
"Aninda",
""
],
[
"Suryanarayana",
"Nemani V",
""
]
] |
We study orientifolds of type IIB string theory in the plane-wave background supported by null RR 3-form flux F^{(3)}. We describe how to extract the RR tadpoles in the Green-Schwarz formalism in a general setting. Two models with orientifold groups {1, \Omega} and {1,\Omega I_4}, which are T-dual to each other, are considered. Consistency of these backgrounds requires 32 D9 branes for the first model and 32 D5 branes for the second one. We study the spectra and comment on the heterotic duals of our models.
|
1106.2551
|
Mehrdad Mirbabayi
|
Andrei Gruzinov and Mehrdad Mirbabayi
|
Stars and Black Holes in Massive Gravity
|
8 pages, 3 figures
| null |
10.1103/PhysRevD.84.124019
| null |
hep-th astro-ph.HE
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Generically, massive gravity gives a non-unique gravitational field around a
star. For a special family of massive gravity theories, we show that the
stellar gravitational field is unique and observationally acceptable, that is
close to Einsteinian. The black hole solutions in this family of theories are
also studied and shown to be peculiar. Black holes have a near-horizon throat
and the curvature diverging at the horizon. We show that there exists a
sub-family of these massive gravity theories with non-singular at horizon black
holes.
|
[
{
"created": "Mon, 13 Jun 2011 20:01:29 GMT",
"version": "v1"
}
] |
2015-05-28
|
[
[
"Gruzinov",
"Andrei",
""
],
[
"Mirbabayi",
"Mehrdad",
""
]
] |
Generically, massive gravity gives a non-unique gravitational field around a star. For a special family of massive gravity theories, we show that the stellar gravitational field is unique and observationally acceptable, that is close to Einsteinian. The black hole solutions in this family of theories are also studied and shown to be peculiar. Black holes have a near-horizon throat and the curvature diverging at the horizon. We show that there exists a sub-family of these massive gravity theories with non-singular at horizon black holes.
|
hep-th/9705123
|
Alberto Cattaneo
|
A. S. Cattaneo, P. Cotta-Ramusino, F. Fucito, M.Martellini, M.
Rinaldi, A. Tanzini, M. Zeni
|
Four-Dimensional Yang-Mills Theory as a Deformation of Topological BF
Theory
|
74 pages, LaTeX, minor corrections; to be published in Commun. Math.
Phys
|
Commun.Math.Phys.197:571-621,1998
|
10.1007/s002200050465
|
HUTMP-97/B362, IFUM 549/FT, ROM2F/96/61
|
hep-th
| null |
The classical action for pure Yang--Mills gauge theory can be formulated as a
deformation of the topological $BF$ theory where, beside the two-form field
$B$, one has to add one extra-field $\eta$ given by a one-form which transforms
as the difference of two connections. The ensuing action functional gives a
theory that is both classically and quantistically equivalent to the original
Yang--Mills theory. In order to prove such an equivalence, it is shown that the
dependency on the field $\eta$ can be gauged away completely. This gives rise
to a field theory that, for this reason, can be considered as semi-topological
or topological in some but not all the fields of the theory. The symmetry group
involved in this theory is an affine extension of the tangent gauge group
acting on the tangent bundle of the space of connections. A mathematical
analysis of this group action and of the relevant BRST complex is discussed in
details.
|
[
{
"created": "Fri, 16 May 1997 17:58:06 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Feb 1998 14:33:44 GMT",
"version": "v2"
},
{
"created": "Tue, 12 May 1998 13:32:21 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Cattaneo",
"A. S.",
""
],
[
"Cotta-Ramusino",
"P.",
""
],
[
"Fucito",
"F.",
""
],
[
"Martellini",
"M.",
""
],
[
"Rinaldi",
"M.",
""
],
[
"Tanzini",
"A.",
""
],
[
"Zeni",
"M.",
""
]
] |
The classical action for pure Yang--Mills gauge theory can be formulated as a deformation of the topological $BF$ theory where, beside the two-form field $B$, one has to add one extra-field $\eta$ given by a one-form which transforms as the difference of two connections. The ensuing action functional gives a theory that is both classically and quantistically equivalent to the original Yang--Mills theory. In order to prove such an equivalence, it is shown that the dependency on the field $\eta$ can be gauged away completely. This gives rise to a field theory that, for this reason, can be considered as semi-topological or topological in some but not all the fields of the theory. The symmetry group involved in this theory is an affine extension of the tangent gauge group acting on the tangent bundle of the space of connections. A mathematical analysis of this group action and of the relevant BRST complex is discussed in details.
|
2105.06963
|
Samir Mathur
|
Samir D. Mathur
|
The elastic vacuum
|
6 pages, 5 figures (Slightly expanded version of essay awarded first
prize in the 2021 Gravity Research Foundation essay competition)
| null |
10.1142/S0218271821410017
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The quantum gravity vacuum must contain virtual fluctuations of black hole
microstates. These extended-size fluctuations get `crushed' when a closed
trapped surface forms, and turn into on-shell `fuzzball' states that resolve
the information puzzle. We argue that these same fluctuations can get
`stretched' by the anti-trapped surfaces in an expanding cosmology, and that
this stretching generates vacuum energy. The stretching happen when the Hubble
deceleration reduces quickly, which happens whenever the pressure drops
quickly. We thus get an inflation-scale vacuum energy when the heavy GUTS
particles become nonrelativistic, and again a small vacuum energy when the
radiation phase turns to dust. The expansion law in the radiation phase does
not allow stretching, in agreement with the observed irrelevance of vacuum
energy in that phase. The extra energy induced when the radiation phase changes
to dust may explain the tension in the Hubble constant between low and high
redshift data.
|
[
{
"created": "Fri, 14 May 2021 17:08:25 GMT",
"version": "v1"
}
] |
2022-01-26
|
[
[
"Mathur",
"Samir D.",
""
]
] |
The quantum gravity vacuum must contain virtual fluctuations of black hole microstates. These extended-size fluctuations get `crushed' when a closed trapped surface forms, and turn into on-shell `fuzzball' states that resolve the information puzzle. We argue that these same fluctuations can get `stretched' by the anti-trapped surfaces in an expanding cosmology, and that this stretching generates vacuum energy. The stretching happen when the Hubble deceleration reduces quickly, which happens whenever the pressure drops quickly. We thus get an inflation-scale vacuum energy when the heavy GUTS particles become nonrelativistic, and again a small vacuum energy when the radiation phase turns to dust. The expansion law in the radiation phase does not allow stretching, in agreement with the observed irrelevance of vacuum energy in that phase. The extra energy induced when the radiation phase changes to dust may explain the tension in the Hubble constant between low and high redshift data.
|
hep-th/0403161
|
Gregory Gabadadze
|
Gregory Gabadadze
|
Weakly-coupled metastable graviton
|
13 LaTex pages; 1 eps figure; v2 some errors corrected; results
unchanged
|
Phys.Rev. D70 (2004) 064005
|
10.1103/PhysRevD.70.064005
|
NYU-TH-04/03/22
|
hep-th hep-ph
| null |
A graviton of a nonzero mass and decay width propagates five physical
polarizations. The question of interactions of these polarizations is crucial
for viability of models of massive/metastable gravity. This question is
addressed in the context of the DGP model of a metastable graviton. First, I
argue that the well-known breakdown of a naive perturbative expansion at a low
scale is an artifact of the weak-field expansion itself. Then, I propose a
different expansion -- the constrained perturbation theory -- in which the
breakdown does not occur and the theory is perturbatively tractable all the way
up to its natural ultraviolet cutoff. In this approach the couplings of the
extra polarizations to matter and their selfcouplings appear to be suppressed
and should be neglected in measurements at sub-horizon scales. The model
reproduces results of General Relativity at observable distances with high
accuracy, while predicting deviations from them at the present-day horizon
scale.
|
[
{
"created": "Tue, 16 Mar 2004 18:12:04 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Apr 2004 18:26:31 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Gabadadze",
"Gregory",
""
]
] |
A graviton of a nonzero mass and decay width propagates five physical polarizations. The question of interactions of these polarizations is crucial for viability of models of massive/metastable gravity. This question is addressed in the context of the DGP model of a metastable graviton. First, I argue that the well-known breakdown of a naive perturbative expansion at a low scale is an artifact of the weak-field expansion itself. Then, I propose a different expansion -- the constrained perturbation theory -- in which the breakdown does not occur and the theory is perturbatively tractable all the way up to its natural ultraviolet cutoff. In this approach the couplings of the extra polarizations to matter and their selfcouplings appear to be suppressed and should be neglected in measurements at sub-horizon scales. The model reproduces results of General Relativity at observable distances with high accuracy, while predicting deviations from them at the present-day horizon scale.
|
1004.0712
|
Alessio Marrani
|
Sergio Ferrara, Renata Kallosh, Andrei Linde, Alessio Marrani, Antoine
Van Proeyen
|
Jordan Frame Supergravity and Inflation in NMSSM
|
1+36 pages, 4 figures; v2: discussion updated in Subsec. 4.1, Refs.
added, typos fixed. To appear in PRD
|
Phys.Rev.D82:045003,2010
|
10.1103/PhysRevD.82.045003
|
CERN-PH-TH/2010-070; SU-ITP-2010-12
|
hep-th astro-ph.CO hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a complete explicit N=1, d=4 supergravity action in an arbitrary
Jordan frame with non-minimal scalar-curvature coupling of the form $\Phi(z,
\bar z)\, R$. The action is derived by suitably gauge-fixing the superconformal
action. The theory has a modified Kaehler geometry, and it exhibits a
significant dependence on the frame function $\Phi (z, \bar z)$ and its
derivatives over scalars, in the bosonic as well as in the fermionic part of
the action. Under certain simple conditions, the scalar kinetic terms in the
Jordan frame have a canonical form. We consider an embedding of the
Next-to-Minimal Supersymmetric Standard Model (NMSSM) gauge theory into
supergravity, clarifying the Higgs inflation model recently proposed by Einhorn
and Jones. We find that the conditions for canonical kinetic terms are
satisfied for the NMSSM scalars in the Jordan frame, which leads to a simple
action. However, we find that the gauge singlet field experiences a strong
tachyonic instability during inflation in this model. Thus, a modification of
the model is required to support the Higgs-type inflation.
|
[
{
"created": "Mon, 5 Apr 2010 20:47:03 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Jul 2010 04:17:34 GMT",
"version": "v2"
}
] |
2014-11-20
|
[
[
"Ferrara",
"Sergio",
""
],
[
"Kallosh",
"Renata",
""
],
[
"Linde",
"Andrei",
""
],
[
"Marrani",
"Alessio",
""
],
[
"Van Proeyen",
"Antoine",
""
]
] |
We present a complete explicit N=1, d=4 supergravity action in an arbitrary Jordan frame with non-minimal scalar-curvature coupling of the form $\Phi(z, \bar z)\, R$. The action is derived by suitably gauge-fixing the superconformal action. The theory has a modified Kaehler geometry, and it exhibits a significant dependence on the frame function $\Phi (z, \bar z)$ and its derivatives over scalars, in the bosonic as well as in the fermionic part of the action. Under certain simple conditions, the scalar kinetic terms in the Jordan frame have a canonical form. We consider an embedding of the Next-to-Minimal Supersymmetric Standard Model (NMSSM) gauge theory into supergravity, clarifying the Higgs inflation model recently proposed by Einhorn and Jones. We find that the conditions for canonical kinetic terms are satisfied for the NMSSM scalars in the Jordan frame, which leads to a simple action. However, we find that the gauge singlet field experiences a strong tachyonic instability during inflation in this model. Thus, a modification of the model is required to support the Higgs-type inflation.
|
hep-th/0401187
|
Mohammad Reza Setare
|
Mohammad R. Setare and Elias C. Vagenas
|
Area Spectrum of Kerr and extremal Kerr Black Holes from Quasinormal
Modes
|
10 pages, no figure, LaTeX; v2: 12 pages, clarifying comments and an
Appendix are added, version to appear in Mod. Phys. Lett. A
|
Mod.Phys.Lett. A20 (2005) 1923-1932
|
10.1142/S0217732305016919
|
UB-ECM-PF-04/03
|
hep-th astro-ph gr-qc quant-ph
| null |
Motivated by the recent interest in quantization of black hole area spectrum,
we consider the area spectrum of Kerr and extremal Kerr black holes. Based on
the proposal by Bekenstein and others that the black hole area spectrum is
discrete and equally spaced, we implement Kunstatter's method to derive the
area spectrum for the Kerr and extremal Kerr black holes. The real part of the
quasinormal frequencies of Kerr black hole used for this computation is of the
form $m\Omega$ where $\Omega$ is the angular velocity of the black hole
horizon. The resulting spectrum is discrete but not as expected uniformly
spaced. Thus, we infer that the function describing the real part of
quasinormal frequencies of Kerr black hole is not the correct one. This
conclusion is in agreement with the numerical results for the highly damped
quasinormal modes of Kerr black hole recently presented by Berti, Cardoso and
Yoshida. On the contrary, extremal Kerr black hole is shown to have a discrete
area spectrum which in addition is evenly spaced. The area spacing derived in
our analysis for the extremal Kerr black hole area spectrum is not proportional
to $\ln 3$. Therefore, it does not give support to Hod's statement that the
area spectrum $A_{n}=(4l^{2}_{p}ln 3)n$ should be valid for a generic
Kerr-Newman black hole.
|
[
{
"created": "Sun, 25 Jan 2004 14:40:55 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Feb 2005 16:51:31 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Setare",
"Mohammad R.",
""
],
[
"Vagenas",
"Elias C.",
""
]
] |
Motivated by the recent interest in quantization of black hole area spectrum, we consider the area spectrum of Kerr and extremal Kerr black holes. Based on the proposal by Bekenstein and others that the black hole area spectrum is discrete and equally spaced, we implement Kunstatter's method to derive the area spectrum for the Kerr and extremal Kerr black holes. The real part of the quasinormal frequencies of Kerr black hole used for this computation is of the form $m\Omega$ where $\Omega$ is the angular velocity of the black hole horizon. The resulting spectrum is discrete but not as expected uniformly spaced. Thus, we infer that the function describing the real part of quasinormal frequencies of Kerr black hole is not the correct one. This conclusion is in agreement with the numerical results for the highly damped quasinormal modes of Kerr black hole recently presented by Berti, Cardoso and Yoshida. On the contrary, extremal Kerr black hole is shown to have a discrete area spectrum which in addition is evenly spaced. The area spacing derived in our analysis for the extremal Kerr black hole area spectrum is not proportional to $\ln 3$. Therefore, it does not give support to Hod's statement that the area spectrum $A_{n}=(4l^{2}_{p}ln 3)n$ should be valid for a generic Kerr-Newman black hole.
|
hep-th/9507020
|
Thomas Strobl
|
Peter Schaller and Thomas Strobl
|
A Brief Introduction to Poisson Sigma-Models
|
10 pages, LaTex. Based on two talks delivered in Schladming, March
1995
|
in Lecture Notes in Physics 469 (1996) 321
|
10.1007/BFb0102573
|
TUW-95/15, PITHA-95/15
|
hep-th gr-qc
| null |
The theory of Poisson-$\sigma$-models employs the mathematical notion of
Poisson manifolds to formulate and analyze a large class of topological and
almost topological two dimensional field theories. As special examples this
class of field theories includes pure Yang-Mills and gravity theories, and, to
some extent, the G/G gauged WZW-model. The aim of this contribution is to give
a pedagogical introduction, explaining many aspects of the general theory by
illustrative examples.
|
[
{
"created": "Tue, 4 Jul 1995 21:57:24 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Schaller",
"Peter",
""
],
[
"Strobl",
"Thomas",
""
]
] |
The theory of Poisson-$\sigma$-models employs the mathematical notion of Poisson manifolds to formulate and analyze a large class of topological and almost topological two dimensional field theories. As special examples this class of field theories includes pure Yang-Mills and gravity theories, and, to some extent, the G/G gauged WZW-model. The aim of this contribution is to give a pedagogical introduction, explaining many aspects of the general theory by illustrative examples.
|
1109.4072
|
Somyadip Thakur
|
Justin R. David, Sachin Jain and Somyadip Thakur
|
Shear sum rules at finite chemical potential
|
The proof for the absence of branch cuts is corrected.Results
unchanged
|
JHEP 1203 (2012) 074
|
10.1007/JHEP03(2012)074
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive sum rules which constrain the spectral density corresponding to the
retarded propagator of the T_{xy} component of the stress tensor for three
gravitational duals. The shear sum rule is obtained for the gravitational dual
of the N=4 Yang-Mills, theory of the M2-branes and M5-branes all at finite
chemical potential. We show that at finite chemical potential there are
additional terms in the sum rule which involve the chemical potential. These
modifications are shown to be due to the presence of scalars in the operator
product expansion of the stress tensor which have non-trivial vacuum
expectation values at finite chemical potential.
|
[
{
"created": "Mon, 19 Sep 2011 16:04:44 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Apr 2012 12:57:34 GMT",
"version": "v2"
},
{
"created": "Mon, 16 Apr 2012 07:08:01 GMT",
"version": "v3"
}
] |
2015-05-30
|
[
[
"David",
"Justin R.",
""
],
[
"Jain",
"Sachin",
""
],
[
"Thakur",
"Somyadip",
""
]
] |
We derive sum rules which constrain the spectral density corresponding to the retarded propagator of the T_{xy} component of the stress tensor for three gravitational duals. The shear sum rule is obtained for the gravitational dual of the N=4 Yang-Mills, theory of the M2-branes and M5-branes all at finite chemical potential. We show that at finite chemical potential there are additional terms in the sum rule which involve the chemical potential. These modifications are shown to be due to the presence of scalars in the operator product expansion of the stress tensor which have non-trivial vacuum expectation values at finite chemical potential.
|
1209.2686
|
Ram Brustein
|
Ram Brustein
|
Origin of the blackhole information paradox
|
23 pages, one figure
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is argued that the blackhole information paradox originates from treating
the blackhole geometry as strictly classical. It is further argued that the
theory of quantum fields in a classical curved space with a horizon is an ill
posed problem. If the geometry is allowed to fluctuate quantum mechanically,
then the horizon effectively disappears. The sharp horizon emerges only in the
classical limit when the ratio of the Compton wavelength of the black hole to
its Schwarzschild radius vanishes. The region of strong gravity that develops
when matter collapses to form the blackhole remains visible to the whole of
spacetime and has to be described by a microscopic theory of strong gravity.
The arguments imply that the information paradox is demoted from a paradox
involving fundamental principles of physics to the problem of describing how
matter at the highest densities gravitates.
|
[
{
"created": "Wed, 12 Sep 2012 18:37:23 GMT",
"version": "v1"
}
] |
2012-09-13
|
[
[
"Brustein",
"Ram",
""
]
] |
It is argued that the blackhole information paradox originates from treating the blackhole geometry as strictly classical. It is further argued that the theory of quantum fields in a classical curved space with a horizon is an ill posed problem. If the geometry is allowed to fluctuate quantum mechanically, then the horizon effectively disappears. The sharp horizon emerges only in the classical limit when the ratio of the Compton wavelength of the black hole to its Schwarzschild radius vanishes. The region of strong gravity that develops when matter collapses to form the blackhole remains visible to the whole of spacetime and has to be described by a microscopic theory of strong gravity. The arguments imply that the information paradox is demoted from a paradox involving fundamental principles of physics to the problem of describing how matter at the highest densities gravitates.
|
2401.08521
|
Stam Nicolis
|
Minos Axenides, Emmanuel Floratos and Stam Nicolis
|
Exponential mixing of all orders for Arnol'd cat map lattices
|
21 pages LaTeX, uses utphys.bst for bibliography style. v2: Typos and
equation layout corrected. v3: References added and clarifying remarks in
sections 2 and 6
| null | null | null |
hep-th cond-mat.stat-mech nlin.CD
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the recently introduced classical Arnol'd cat map lattice field
theories, which are chaotic, are exponentially mixing to all orders. Their
mixing times are well-defined and are expressed in terms of the Lyapunov
exponents, more precisely by the combination that defines the inverse of the
Kolmogorov-Sinai entropy of these systems. We prove by an explicit recursive
construction of correlation functions, that these exhibit $l-$fold mixing for
any $l= 3,4,5,\ldots$. This computation is relevant for Rokhlin's conjecture,
which states that 2-fold mixing induces $l-$fold mixing for any $l>2$. Our
results show that 2-fold exponential mixing, while being necessary for any
$l-$fold mixing to hold it is nevertheless not sufficient for Arnol'd cat map
lattice field theories.
|
[
{
"created": "Tue, 16 Jan 2024 17:33:08 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Feb 2024 14:57:57 GMT",
"version": "v2"
},
{
"created": "Wed, 24 Jul 2024 14:01:35 GMT",
"version": "v3"
}
] |
2024-07-25
|
[
[
"Axenides",
"Minos",
""
],
[
"Floratos",
"Emmanuel",
""
],
[
"Nicolis",
"Stam",
""
]
] |
We show that the recently introduced classical Arnol'd cat map lattice field theories, which are chaotic, are exponentially mixing to all orders. Their mixing times are well-defined and are expressed in terms of the Lyapunov exponents, more precisely by the combination that defines the inverse of the Kolmogorov-Sinai entropy of these systems. We prove by an explicit recursive construction of correlation functions, that these exhibit $l-$fold mixing for any $l= 3,4,5,\ldots$. This computation is relevant for Rokhlin's conjecture, which states that 2-fold mixing induces $l-$fold mixing for any $l>2$. Our results show that 2-fold exponential mixing, while being necessary for any $l-$fold mixing to hold it is nevertheless not sufficient for Arnol'd cat map lattice field theories.
|
0912.2635
|
Philip D. Mannheim
|
Philip D. Mannheim
|
PT symmetry as a necessary and sufficient condition for unitary time
evolution
|
Latex, 34 pages. Extended and updated final version. To appear in a
theme issue of Philosophical Transactions A of the Royal Society on PT
quantum mechanics
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
While Hermiticity of a time-independent Hamiltonian leads to unitary time
evolution, in and of itself, the requirement of Hermiticity is only sufficient
for unitary time evolution. In this paper we provide conditions that are both
necessary and sufficient. We show that $PT$ symmetry of a time-independent
Hamiltonian, or equivalently, reality of the secular equation that determines
its eigenvalues, is both necessary and sufficient for unitary time evolution.
For any $PT$-symmetric Hamiltonian $H$ there always exists an operator $V$ that
relates $H$ to its Hermitian adjoint according to $VHV^{-1}=H^{\dagger}$. When
the energy spectrum of $H$ is complete, Hilbert space norms $<\psi_1|V|\psi_2>$
constructed with this $V$ are always preserved in time. With the energy
eigenvalues of a real secular equation being either real or appearing in
complex conjugate pairs, we thus establish the unitarity of time evolution in
both cases. We also establish the unitarity of time evolution for Hamiltonians
whose energy spectra are not complete. We show that when the energy eigenvalues
of a Hamiltonian are real and complete the operator $V$ is a positive Hermitian
operator, which has an associated square root operator that can be used to
bring the Hamiltonian to a Hermitian form. We show that systems with
$PT$-symmetric Hamiltonians obey causality. We note that Hermitian theories are
ordinarily associated with a path integral quantization prescription in which
the path integral measure is real, while in contrast non-Hermitian but
$PT$-symmetric theories are ordinarily associated with path integrals in which
the measure needs to be complex, but in which the Euclidean time continuation
of the path integral is nonetheless real. We show that through $PT$ symmetry
the fourth-order derivative Pais-Uhlenbeck theory can be stabilized against
transitions to states negative frequency.
|
[
{
"created": "Mon, 14 Dec 2009 12:56:06 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Feb 2012 20:50:08 GMT",
"version": "v2"
},
{
"created": "Sun, 25 Nov 2012 19:50:27 GMT",
"version": "v3"
}
] |
2012-11-27
|
[
[
"Mannheim",
"Philip D.",
""
]
] |
While Hermiticity of a time-independent Hamiltonian leads to unitary time evolution, in and of itself, the requirement of Hermiticity is only sufficient for unitary time evolution. In this paper we provide conditions that are both necessary and sufficient. We show that $PT$ symmetry of a time-independent Hamiltonian, or equivalently, reality of the secular equation that determines its eigenvalues, is both necessary and sufficient for unitary time evolution. For any $PT$-symmetric Hamiltonian $H$ there always exists an operator $V$ that relates $H$ to its Hermitian adjoint according to $VHV^{-1}=H^{\dagger}$. When the energy spectrum of $H$ is complete, Hilbert space norms $<\psi_1|V|\psi_2>$ constructed with this $V$ are always preserved in time. With the energy eigenvalues of a real secular equation being either real or appearing in complex conjugate pairs, we thus establish the unitarity of time evolution in both cases. We also establish the unitarity of time evolution for Hamiltonians whose energy spectra are not complete. We show that when the energy eigenvalues of a Hamiltonian are real and complete the operator $V$ is a positive Hermitian operator, which has an associated square root operator that can be used to bring the Hamiltonian to a Hermitian form. We show that systems with $PT$-symmetric Hamiltonians obey causality. We note that Hermitian theories are ordinarily associated with a path integral quantization prescription in which the path integral measure is real, while in contrast non-Hermitian but $PT$-symmetric theories are ordinarily associated with path integrals in which the measure needs to be complex, but in which the Euclidean time continuation of the path integral is nonetheless real. We show that through $PT$ symmetry the fourth-order derivative Pais-Uhlenbeck theory can be stabilized against transitions to states negative frequency.
|
hep-th/9511190
| null |
Miguel A. Martin-Delgado and German Sierra
|
The Renormalization Group Method and Quantum Groups: the postman always
rings twice
|
LATEX file, 21 pages, no figures. To appear in "From Field Theory to
Quantum Groups", World Scientific. Proceedings to honor J.Lukierski in his
60th birthday
| null |
10.1142/9789812830425_0007
|
UCM-CSIC-10-95
|
hep-th cond-mat math.QA q-alg
| null |
We review some of our recent results concerning the relationship between the
Real-Space Renormalization Group method and Quantum Groups. We show this
relation by applying real-space RG methods to study two quantum group invariant
Hamiltonians, that of the XXZ model and the Ising model in a transverse field
(ITF) defined in an open chain with appropriate boundary terms. The quantum
group symmetry is preserved under the RG transformation except for the
appearence of a quantum group anomalous term which vanishes in the classical
case. This is called {\em the quantum group anomaly}. We derive the new qRG
equations for the XXZ model and show that the RG-flow diagram obtained in this
fashion exhibits the correct line of critical points that the exact model has.
In the ITF model the qRG-flow equations coincide with the tensor product
decomposition of cyclic irreps of $SU_q(2)$ with $q^4=1$.
|
[
{
"created": "Mon, 27 Nov 1995 10:52:50 GMT",
"version": "v1"
}
] |
2016-11-03
|
[
[
"Martin-Delgado",
"Miguel A.",
""
],
[
"Sierra",
"German",
""
]
] |
We review some of our recent results concerning the relationship between the Real-Space Renormalization Group method and Quantum Groups. We show this relation by applying real-space RG methods to study two quantum group invariant Hamiltonians, that of the XXZ model and the Ising model in a transverse field (ITF) defined in an open chain with appropriate boundary terms. The quantum group symmetry is preserved under the RG transformation except for the appearence of a quantum group anomalous term which vanishes in the classical case. This is called {\em the quantum group anomaly}. We derive the new qRG equations for the XXZ model and show that the RG-flow diagram obtained in this fashion exhibits the correct line of critical points that the exact model has. In the ITF model the qRG-flow equations coincide with the tensor product decomposition of cyclic irreps of $SU_q(2)$ with $q^4=1$.
|
1710.07971
|
Jian-Pin Wu
|
Jian-Pin Wu, Peng Liu
|
Holographic superconductivity from higher derivative theory
|
16 pages, 5 figures
|
Phys.Lett. B774 (2017) 527-532
|
10.1016/j.physletb.2017.10.017
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct a $6$ derivative holographic superconductor model in the
$4$-dimensional bulk spacetimes, in which the normal state describes a quantum
critical (QC) phase. The phase diagram $(\gamma_1,\hat{T}_c)$ and the
condensation as the function of temperature are worked out numerically. We
observe that with the decrease of the coupling parameter $\gamma_1$, the
critical temperature $\hat{T}_c$ decreases and the formation of charged scalar
hair becomes harder. We also calculate the optical conductivity. An appealing
characteristic is a wider extension of the superconducting energy gap,
comparing with that of $4$ derivative theory. It is expected that this
phenomena can be observed in the real materials of high temperature
superconductor. Also the Homes' law in our present models with $4$ and $6$
derivative corrections is explored. We find that in certain range of parameters
$\gamma$ and $\gamma_1$, the experimentally measured value of the universal
constant $C$ in Homes' law can be obtained.
|
[
{
"created": "Sun, 22 Oct 2017 16:16:01 GMT",
"version": "v1"
}
] |
2017-10-24
|
[
[
"Wu",
"Jian-Pin",
""
],
[
"Liu",
"Peng",
""
]
] |
We construct a $6$ derivative holographic superconductor model in the $4$-dimensional bulk spacetimes, in which the normal state describes a quantum critical (QC) phase. The phase diagram $(\gamma_1,\hat{T}_c)$ and the condensation as the function of temperature are worked out numerically. We observe that with the decrease of the coupling parameter $\gamma_1$, the critical temperature $\hat{T}_c$ decreases and the formation of charged scalar hair becomes harder. We also calculate the optical conductivity. An appealing characteristic is a wider extension of the superconducting energy gap, comparing with that of $4$ derivative theory. It is expected that this phenomena can be observed in the real materials of high temperature superconductor. Also the Homes' law in our present models with $4$ and $6$ derivative corrections is explored. We find that in certain range of parameters $\gamma$ and $\gamma_1$, the experimentally measured value of the universal constant $C$ in Homes' law can be obtained.
|
hep-th/0010250
|
prof. Shmuel Nussinov
|
S. Nussinov
|
QCD Inequalities, Large $N_C$ and $\pi\pi$ Scattering Lengths
|
8 pages, latex with one postscript figure
| null | null | null |
hep-th
| null |
In this short note we show that (I) in a QCD-like theory with four (rather
than two) degenerate flavors $ud u'd'$, the $\pi\pi'$ scattering length is
positive (attractive); and (II) in QCD with only two (u,d) degenerate flavors
the I=2 (say, $\pi^+\pi^+$ hadronic) scattering length is, in the large $N_C$
limit, repulsive. $\pi(\pi')$ are the lowest physical states coupling to $J^p =
\bar{u}(x)\gamma_5d(x)$ and $J^{p'} = \bar{u}'(x)\gamma_5d'(x),$ respectively.
|
[
{
"created": "Thu, 26 Oct 2000 22:23:28 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Nussinov",
"S.",
""
]
] |
In this short note we show that (I) in a QCD-like theory with four (rather than two) degenerate flavors $ud u'd'$, the $\pi\pi'$ scattering length is positive (attractive); and (II) in QCD with only two (u,d) degenerate flavors the I=2 (say, $\pi^+\pi^+$ hadronic) scattering length is, in the large $N_C$ limit, repulsive. $\pi(\pi')$ are the lowest physical states coupling to $J^p = \bar{u}(x)\gamma_5d(x)$ and $J^{p'} = \bar{u}'(x)\gamma_5d'(x),$ respectively.
|
hep-th/0503067
|
Steffen Krusch
|
Steffen Krusch (Kent U.) and Martin Speight (Leeds U., Math.)
|
Fermionic quantization of Hopf solitons
|
22 pages, no figures. Minor corrections: final published version
|
Commun.Math.Phys. 264 (2006) 391-410
|
10.1007/s00220-005-1469-4
| null |
hep-th
| null |
In this paper we show how to quantize Hopf solitons using the
Finkelstein-Rubinstein approach. Hopf solitons can be quantized as fermions if
their Hopf charge is odd. Symmetries of classical minimal energy configurations
induce loops in configuration space which give rise to constraints on the wave
function. These constraints depend on whether the given loop is contractible.
Our method is to exploit the relationship between the configuration spaces of
the Faddeev-Hopf and Skyrme models provided by the Hopf fibration. We then use
recent results in the Skyrme model to determine whether loops are contractible.
We discuss possible quantum ground states up to Hopf charge Q=7.
|
[
{
"created": "Mon, 7 Mar 2005 19:57:47 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Nov 2005 12:17:59 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Krusch",
"Steffen",
"",
"Kent U."
],
[
"Speight",
"Martin",
"",
"Leeds U., Math."
]
] |
In this paper we show how to quantize Hopf solitons using the Finkelstein-Rubinstein approach. Hopf solitons can be quantized as fermions if their Hopf charge is odd. Symmetries of classical minimal energy configurations induce loops in configuration space which give rise to constraints on the wave function. These constraints depend on whether the given loop is contractible. Our method is to exploit the relationship between the configuration spaces of the Faddeev-Hopf and Skyrme models provided by the Hopf fibration. We then use recent results in the Skyrme model to determine whether loops are contractible. We discuss possible quantum ground states up to Hopf charge Q=7.
|
0905.4379
|
Henriette Elvang
|
Henriette Elvang, Daniel Z. Freedman, and Michael Kiermaier
|
Dual conformal symmetry of 1-loop NMHV amplitudes in N=4 SYM theory
|
20 pages, 2 figures
| null |
10.1007/JHEP03(2010)075
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We prove that 1-loop n-point NMHV superamplitudes in N=4 SYM theory are dual
conformal covariant for all numbers n of external particles (after
regularization and subtraction of IR divergences). This property was previously
established for n < 10 in arXiv:0808.0491. We derive an explicit representation
of these superamplitudes in terms of dual conformal cross-ratios. We also show
that all the 1-loop `box coefficients' obtained from maximal cuts of N^kMHV
n-point functions are covariant under dual conformal transformations.
|
[
{
"created": "Wed, 27 May 2009 17:42:03 GMT",
"version": "v1"
}
] |
2015-05-13
|
[
[
"Elvang",
"Henriette",
""
],
[
"Freedman",
"Daniel Z.",
""
],
[
"Kiermaier",
"Michael",
""
]
] |
We prove that 1-loop n-point NMHV superamplitudes in N=4 SYM theory are dual conformal covariant for all numbers n of external particles (after regularization and subtraction of IR divergences). This property was previously established for n < 10 in arXiv:0808.0491. We derive an explicit representation of these superamplitudes in terms of dual conformal cross-ratios. We also show that all the 1-loop `box coefficients' obtained from maximal cuts of N^kMHV n-point functions are covariant under dual conformal transformations.
|
0710.3395
|
Andrei Mironov
|
A.Mironov, A.Morozov and T.N.Tomaras
|
If LHC is a Mini-Time-Machines Factory, Can We Notice?
|
22 pages, 6 figures; published in the Proceedings of the Balkan
Workshop 2005 (19-23 May 2005, Vrnjacka Banja, Serbia)
|
Facta Univ.Ser.Phys.Chem.Tech.4:381-404,2006
| null | null |
hep-th gr-qc hep-ph
| null |
Assuming the hypothesis of TeV-scale multi-dimensional gravity, one can
imagine that at LHC not only mini-black-holes (MBH) will be intensively
created, but also other exotic gravitational configurations, including
hypothetical mini-time-machines (MTM). Like MBH, they should quickly evaporate,
but one can wonder if their temporal existence at the moment of high-energy
collision can leave any traces in the observable data. We briefly discuss five
thinkable effects: (i) change of the energy spectrum due to the
frequency-filtration property of MTM, (ii) possible production of anomalously
energetic particles, accelerated by passing many times through gravitational
field inside the MTM, (iii) acceleration of particle decays, since the proper
time of a particle moving inside MTM can strongly exceed the laboratory time,
(iv) CPT and naive unitarity violation (thermalization) due to effective
non-local interactions caused by MTM and to possible ambiguity in the
population of closed world-lines inside MTM, (v) collective effects due to
conversion of a single particle into a bunch of its co-existing copies within
the MTM. Despite possible particle-antiparticle conversion inside MTM, they do
not seem to produce any specific CP-violation effects.
|
[
{
"created": "Wed, 17 Oct 2007 21:01:00 GMT",
"version": "v1"
}
] |
2011-07-19
|
[
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
],
[
"Tomaras",
"T. N.",
""
]
] |
Assuming the hypothesis of TeV-scale multi-dimensional gravity, one can imagine that at LHC not only mini-black-holes (MBH) will be intensively created, but also other exotic gravitational configurations, including hypothetical mini-time-machines (MTM). Like MBH, they should quickly evaporate, but one can wonder if their temporal existence at the moment of high-energy collision can leave any traces in the observable data. We briefly discuss five thinkable effects: (i) change of the energy spectrum due to the frequency-filtration property of MTM, (ii) possible production of anomalously energetic particles, accelerated by passing many times through gravitational field inside the MTM, (iii) acceleration of particle decays, since the proper time of a particle moving inside MTM can strongly exceed the laboratory time, (iv) CPT and naive unitarity violation (thermalization) due to effective non-local interactions caused by MTM and to possible ambiguity in the population of closed world-lines inside MTM, (v) collective effects due to conversion of a single particle into a bunch of its co-existing copies within the MTM. Despite possible particle-antiparticle conversion inside MTM, they do not seem to produce any specific CP-violation effects.
|
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