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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/0611275
|
Abouzeid Shalaby
|
Abouzeid Shalaby
|
Hermiticity Breaking and Restoration in the $(g\phi^4 + h\phi^6)_{1+1}$
Field Theoretic Model
|
8 pages, 1 figure, presented on 6th International Workshop on Pseudo
Hermitian Hamiltonians in Quantum Physics (16th-18th of July 2007, City
University-London)
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We introduce hermiticity as a new symmetry and show that when starting with a
model which is Hermitian in the classical level, quantum corrections can break
hermiticity while the theory stay physically acceptable. To show this, we
calculated the effective potential of the ($g\phi^{4}+h\phi^{6}$)$_{1+1}$ model
up to first order in $g$ and $h$ couplings which is sufficient as the region of
interest has finite correlation length for which mean field calculation may
suffice. We show that, in the literature, there is a skipped phase of the
theory due to the wrong believe that the theory in the broken hermiticity phase
is unphysical. However, in view of recent discoveries of the reality of the
spectrum of the non-Hermitian but $PT$ symmetric theories, in the broken
hermiticity phase the theory possesses $PT$ symmetry and thus physically
acceptable. In fact, ignoring this phase will lead to violation of universality
when comparing this model predictions with other models in the same class of
universality.
|
[
{
"created": "Sat, 25 Nov 2006 14:35:01 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Nov 2009 11:01:29 GMT",
"version": "v2"
}
] |
2009-11-24
|
[
[
"Shalaby",
"Abouzeid",
""
]
] |
We introduce hermiticity as a new symmetry and show that when starting with a model which is Hermitian in the classical level, quantum corrections can break hermiticity while the theory stay physically acceptable. To show this, we calculated the effective potential of the ($g\phi^{4}+h\phi^{6}$)$_{1+1}$ model up to first order in $g$ and $h$ couplings which is sufficient as the region of interest has finite correlation length for which mean field calculation may suffice. We show that, in the literature, there is a skipped phase of the theory due to the wrong believe that the theory in the broken hermiticity phase is unphysical. However, in view of recent discoveries of the reality of the spectrum of the non-Hermitian but $PT$ symmetric theories, in the broken hermiticity phase the theory possesses $PT$ symmetry and thus physically acceptable. In fact, ignoring this phase will lead to violation of universality when comparing this model predictions with other models in the same class of universality.
|
1112.5296
|
Olaf Hohm
|
Olaf Hohm and Barton Zwiebach
|
On the Riemann Tensor in Double Field Theory
|
36 pages, v2: minor changes, ref. added, v3: appendix on frame
formalism added, version to appear in JHEP
| null |
10.1007/JHEP05(2012)126
|
MIT-CTP-4331; LMU-ASC 75/11
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Double field theory provides T-duality covariant generalized tensors that are
natural extensions of the scalar and Ricci curvatures of Riemannian geometry.
We search for a similar extension of the Riemann curvature tensor by developing
a geometry based on the generalized metric and the dilaton. We find a duality
covariant Riemann tensor whose contractions give the Ricci and scalar
curvatures, but that is not fully determined in terms of the physical fields.
This suggests that \alpha' corrections to the effective action require \alpha'
corrections to T-duality transformations and/or generalized diffeomorphisms.
Further evidence to this effect is found by an additional computation that
shows that there is no T-duality invariant four-derivative object built from
the generalized metric and the dilaton that reduces to the square of the
Riemann tensor.
|
[
{
"created": "Thu, 22 Dec 2011 12:59:35 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Jan 2012 00:05:07 GMT",
"version": "v2"
},
{
"created": "Fri, 25 May 2012 15:57:30 GMT",
"version": "v3"
}
] |
2015-06-03
|
[
[
"Hohm",
"Olaf",
""
],
[
"Zwiebach",
"Barton",
""
]
] |
Double field theory provides T-duality covariant generalized tensors that are natural extensions of the scalar and Ricci curvatures of Riemannian geometry. We search for a similar extension of the Riemann curvature tensor by developing a geometry based on the generalized metric and the dilaton. We find a duality covariant Riemann tensor whose contractions give the Ricci and scalar curvatures, but that is not fully determined in terms of the physical fields. This suggests that \alpha' corrections to the effective action require \alpha' corrections to T-duality transformations and/or generalized diffeomorphisms. Further evidence to this effect is found by an additional computation that shows that there is no T-duality invariant four-derivative object built from the generalized metric and the dilaton that reduces to the square of the Riemann tensor.
|
hep-th/0512157
|
Iosif Bena
|
Iosif Bena, Chih-Wei Wang, and Nicholas P. Warner
|
Sliding Rings and Spinning Holes
|
26 pages, harvmac
|
JHEP0605:075,2006
|
10.1088/1126-6708/2006/05/075
|
CERN-PH-TH/2005-244
|
hep-th
| null |
We construct smooth supergravity solutions describing a BPS black ring with a
BPS black hole centered at an arbitrary distance above the ring. We find that
as one moves the black hole the entropy of the ring remains constant, but the
angular momentum coming from the supergravity fluxes changes. Our solutions
also show that in order to merge a BPS black ring with a BPS black hole one has
to increase one of the angular momenta of the ring, and that the result of the
merger is always a BMPV black hole. We also find a class of mergers that are
thermodynamically reversible, and comment on their physics.
|
[
{
"created": "Wed, 14 Dec 2005 20:45:00 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Bena",
"Iosif",
""
],
[
"Wang",
"Chih-Wei",
""
],
[
"Warner",
"Nicholas P.",
""
]
] |
We construct smooth supergravity solutions describing a BPS black ring with a BPS black hole centered at an arbitrary distance above the ring. We find that as one moves the black hole the entropy of the ring remains constant, but the angular momentum coming from the supergravity fluxes changes. Our solutions also show that in order to merge a BPS black ring with a BPS black hole one has to increase one of the angular momenta of the ring, and that the result of the merger is always a BMPV black hole. We also find a class of mergers that are thermodynamically reversible, and comment on their physics.
|
1903.11852
|
Tetsuya Onogi
|
Hidenori Fukaya, Tetsuya Onogi, Satoshi Yamaguchi and Xi Wu
|
TKNN formula for general Hamiltonian
|
revised version, 23 pages
|
Phys. Rev. D 101, 074507 (2020)
|
10.1103/PhysRevD.101.074507
|
OU-HET-1007
|
hep-th cond-mat.mes-hall hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Topological insulators in odd dimensions are characterized by topological
numbers. We prove the well-known relation between the topological number given
by the Chern character of the Berry curvature and the Chern-Simons level of the
low energy effective action for a general class of Hamiltonians bilinear in the
fermion with general U(1) gauge interactions including non-minimal couplings by
an explicit calculation. A series of Ward-Takahashi identities are crucial to
relate the Chern-Simons level to a winding number, which could then be directly
reduced to Chern character of Berry curvature by carrying out the integral over
the temporal momenta.
|
[
{
"created": "Thu, 28 Mar 2019 09:33:04 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Apr 2019 09:50:05 GMT",
"version": "v2"
},
{
"created": "Wed, 18 Mar 2020 07:32:01 GMT",
"version": "v3"
}
] |
2020-04-15
|
[
[
"Fukaya",
"Hidenori",
""
],
[
"Onogi",
"Tetsuya",
""
],
[
"Yamaguchi",
"Satoshi",
""
],
[
"Wu",
"Xi",
""
]
] |
Topological insulators in odd dimensions are characterized by topological numbers. We prove the well-known relation between the topological number given by the Chern character of the Berry curvature and the Chern-Simons level of the low energy effective action for a general class of Hamiltonians bilinear in the fermion with general U(1) gauge interactions including non-minimal couplings by an explicit calculation. A series of Ward-Takahashi identities are crucial to relate the Chern-Simons level to a winding number, which could then be directly reduced to Chern character of Berry curvature by carrying out the integral over the temporal momenta.
|
2012.06570
|
Nikita G. Misuna
|
N.G. Misuna
|
Off-shell higher-spin fields in $AdS_{4}$ and external currents
|
32 pages. V4: minor typos corrected; short representation-theoretic
discussions of results added on pp. 10, 12, 25, 26, 29. To appear in JHEP
|
JHEP 12 (2021) 172
|
10.1007/JHEP12(2021)172
|
FIAN/TD/2020-19
|
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We construct an unfolded system for off-shell fields of arbitrary integer
spin in 4d anti-de Sitter space. To this end we couple an on-shell system,
encoding Fronsdal equations, to external Fronsdal currents for which we find an
unfolded formulation. We present a reduction of the Fronsdal current system
which brings it to the unfolded Fierz-Pauli system describing massive fields of
arbitrary integer spin. Reformulating off-shell higher-spin system as the set
of Schwinger-Dyson equations we compute propagators of higher-spin fields in
the de Donder gauge directly from the unfolded equations. We discover operators
that significantly simplify this computation, allowing a straightforward
extraction of wave equations from an unfolded system.
|
[
{
"created": "Fri, 11 Dec 2020 18:56:43 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Jul 2021 17:50:49 GMT",
"version": "v2"
},
{
"created": "Wed, 25 Aug 2021 14:10:22 GMT",
"version": "v3"
},
{
"created": "Mon, 20 Dec 2021 14:06:08 GMT",
"version": "v4"
}
] |
2022-01-03
|
[
[
"Misuna",
"N. G.",
""
]
] |
We construct an unfolded system for off-shell fields of arbitrary integer spin in 4d anti-de Sitter space. To this end we couple an on-shell system, encoding Fronsdal equations, to external Fronsdal currents for which we find an unfolded formulation. We present a reduction of the Fronsdal current system which brings it to the unfolded Fierz-Pauli system describing massive fields of arbitrary integer spin. Reformulating off-shell higher-spin system as the set of Schwinger-Dyson equations we compute propagators of higher-spin fields in the de Donder gauge directly from the unfolded equations. We discover operators that significantly simplify this computation, allowing a straightforward extraction of wave equations from an unfolded system.
|
0707.4437
|
Ruslan Metsaev
|
R. R. Metsaev
|
Ordinary-derivative formulation of conformal low-spin fields
|
58 pages, LaTeX-2e. v3: Results and conclusions of version v2
unchanged. New representations for Lagrangian of conformal fields added.
Appendix C fully rewritten and moved to Sec.6. Discussion of interrelation of
AdS and Weyl gravities added in Sec.6. Lorentz and de Donder like gauges
added. Appendices B,D,F and references added
| null |
10.1007/JHEP01(2012)064
|
FIAN-TD-2007-10
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Conformal fields in flat space-time of even dimension greater than or equal
to four are studied. Second-derivative formulation for spin 0,1,2 conformal
bosonic fields and first-derivative formulation for spin 1/2,3/2 conformal
fermionic fields are developed. For the spin 1,3/2,2 conformal fields, we
obtain gauge invariant Lagrangians and the corresponding gauge transformations.
Gauge symmetries are realized by involving Stueckelberg fields and auxiliary
fields. Realization of global conformal boost symmetries is obtained. Modified
Lorentz and de Donder gauge conditions are introduced. Ordinary-derivative
Lagrangian of interacting Weyl gravity in 4d is obtained. In our approach, the
field content of Weyl gravity, in addition to conformal graviton field,
includes one auxiliary rank-2 symmetric tensor field and one Stueckelberg
vector field. With respect to the auxiliary tensor field, the Lagrangian
contains, in addition to other terms, the Pauli-Fierz mass term. Using the
ordinary-derivative Lagrangian of Weyl gravity, we discuss interrelation of
Einstein AdS gravity and Weyl gravity via breaking conformal gauge symmetries.
Also, we demonstrate use of the light-cone gauge for counting on-shell degrees
of freedom in higher-derivative conformal field theories.
|
[
{
"created": "Mon, 30 Jul 2007 16:56:04 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Aug 2007 15:46:03 GMT",
"version": "v2"
},
{
"created": "Mon, 14 Nov 2011 18:04:58 GMT",
"version": "v3"
}
] |
2015-05-13
|
[
[
"Metsaev",
"R. R.",
""
]
] |
Conformal fields in flat space-time of even dimension greater than or equal to four are studied. Second-derivative formulation for spin 0,1,2 conformal bosonic fields and first-derivative formulation for spin 1/2,3/2 conformal fermionic fields are developed. For the spin 1,3/2,2 conformal fields, we obtain gauge invariant Lagrangians and the corresponding gauge transformations. Gauge symmetries are realized by involving Stueckelberg fields and auxiliary fields. Realization of global conformal boost symmetries is obtained. Modified Lorentz and de Donder gauge conditions are introduced. Ordinary-derivative Lagrangian of interacting Weyl gravity in 4d is obtained. In our approach, the field content of Weyl gravity, in addition to conformal graviton field, includes one auxiliary rank-2 symmetric tensor field and one Stueckelberg vector field. With respect to the auxiliary tensor field, the Lagrangian contains, in addition to other terms, the Pauli-Fierz mass term. Using the ordinary-derivative Lagrangian of Weyl gravity, we discuss interrelation of Einstein AdS gravity and Weyl gravity via breaking conformal gauge symmetries. Also, we demonstrate use of the light-cone gauge for counting on-shell degrees of freedom in higher-derivative conformal field theories.
|
hep-th/0402129
|
A. Melikyan
|
Ashok Das, Jnanadeva Maharana and A. Melikyan
|
Monodromy Matrix in the PP-Wave Limit
|
16 pages
|
Int.J.Mod.Phys.A19:4503,2004
|
10.1142/S0217751X04019937
| null |
hep-th
| null |
We construct the monodromy matrix for a class of gauged WZWN models in the
plane wave limit and discuss various properties of such systems.
|
[
{
"created": "Tue, 17 Feb 2004 19:43:55 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Das",
"Ashok",
""
],
[
"Maharana",
"Jnanadeva",
""
],
[
"Melikyan",
"A.",
""
]
] |
We construct the monodromy matrix for a class of gauged WZWN models in the plane wave limit and discuss various properties of such systems.
|
2312.06770
|
Rahul Poddar
|
Arjun Bagchi, Cynthia Keeler, Victoria Martin, Rahul Poddar
|
A generalized Selberg zeta function for flat space cosmologies
|
25 pages, a few clarifications added
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
Flat space cosmologies (FSCs) are time dependent solutions of
three-dimensional (3D) gravity with a vanishing cosmological constant. They can
be constructed from a discrete quotient of empty 3D flat spacetime and are also
called shifted-boost orbifolds. Using this quotient structure, we build a new
and generalized Selberg zeta function for FSCs, and show that it is directly
related to the scalar 1-loop partition function. We then propose an extension
of this formalism applicable to more general quotient manifolds $\mathcal
M/\mathbb Z$, based on representation theory of fields propagating on this
background. Our prescription constitutes a novel and expedient method for
calculating regularized 1-loop determinants, without resorting to the heat
kernel. We compute quasinormal modes in the FSC using the zeroes of a Selberg
zeta function, and match them to known results.
|
[
{
"created": "Mon, 11 Dec 2023 19:00:04 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Apr 2024 10:30:49 GMT",
"version": "v2"
}
] |
2024-04-02
|
[
[
"Bagchi",
"Arjun",
""
],
[
"Keeler",
"Cynthia",
""
],
[
"Martin",
"Victoria",
""
],
[
"Poddar",
"Rahul",
""
]
] |
Flat space cosmologies (FSCs) are time dependent solutions of three-dimensional (3D) gravity with a vanishing cosmological constant. They can be constructed from a discrete quotient of empty 3D flat spacetime and are also called shifted-boost orbifolds. Using this quotient structure, we build a new and generalized Selberg zeta function for FSCs, and show that it is directly related to the scalar 1-loop partition function. We then propose an extension of this formalism applicable to more general quotient manifolds $\mathcal M/\mathbb Z$, based on representation theory of fields propagating on this background. Our prescription constitutes a novel and expedient method for calculating regularized 1-loop determinants, without resorting to the heat kernel. We compute quasinormal modes in the FSC using the zeroes of a Selberg zeta function, and match them to known results.
|
hep-th/0407221
|
Spyros Avramis
|
Spyros D. Avramis and Alex Kehagias
|
Gauged D=7 Supergravity on the S**1/Z_2 Orbifold
|
LaTeX, 42 pages; typos corrected, reference added, version to appear
in Phys. Rev. D
|
Phys.Rev. D71 (2005) 066005
|
10.1103/PhysRevD.71.066005
| null |
hep-th
| null |
We construct the most general couplings of a bulk seven-dimensional
Yang-Mills-Einstein N=2 supergravity with a boundary six-dimensional chiral
N=(0,1) theory of vectors and charged hypermultiplets. The boundary consists of
two brane worlds sitting at the fixed points of an S^1/Z_2 compactification of
the seven-dimensional bulk supergravity. The resulting 6D massless spectrum
surviving the orbifold projection is anomalous. By introducing boundary fields
at the orbifold fixed points, we show that all anomalies are cancelled by a
Green-Schwarz mechanism. In addition, all couplings of the boundary fields to
the bulk are completely specified by supersymmetry. We emphasize that there is
no bulk Chern-Simons term to cancel the anomalies. The latter is traded for a
Green-Schwarz term which emerges in the boundary theory after a duality
transformation implemented to construct the bulk supergravity.
|
[
{
"created": "Mon, 26 Jul 2004 20:44:45 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Mar 2005 20:51:02 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Avramis",
"Spyros D.",
""
],
[
"Kehagias",
"Alex",
""
]
] |
We construct the most general couplings of a bulk seven-dimensional Yang-Mills-Einstein N=2 supergravity with a boundary six-dimensional chiral N=(0,1) theory of vectors and charged hypermultiplets. The boundary consists of two brane worlds sitting at the fixed points of an S^1/Z_2 compactification of the seven-dimensional bulk supergravity. The resulting 6D massless spectrum surviving the orbifold projection is anomalous. By introducing boundary fields at the orbifold fixed points, we show that all anomalies are cancelled by a Green-Schwarz mechanism. In addition, all couplings of the boundary fields to the bulk are completely specified by supersymmetry. We emphasize that there is no bulk Chern-Simons term to cancel the anomalies. The latter is traded for a Green-Schwarz term which emerges in the boundary theory after a duality transformation implemented to construct the bulk supergravity.
|
hep-th/9911237
|
Soonkeon Nam
|
Soonkeon Nam (Harvard and Kyung Hee Univ.)
|
Mass Gap in Kaluza-Klein Spectrum in a Network of Brane Worlds
|
9 pages, TeX, harvamac(big), corrected typos
|
JHEP 0004:002,2000
|
10.1088/1126-6708/2000/04/002
|
HUTP-99/A064
|
hep-th hep-ph
| null |
We consider the Newton's force law for brane world consisting of periodic
configuration of branes. We show that it supports a massless graviton.
Furthermore, this massless mode is well separated from the Kaluza-Klein
spectrum by a mass gap. Thus most of the problems in phenomenology coming from
continuum of Kaluza-Klein modes without mass gap are potentially cured in such
a model.
|
[
{
"created": "Mon, 29 Nov 1999 22:04:07 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Nov 1999 06:56:37 GMT",
"version": "v2"
},
{
"created": "Wed, 8 Dec 1999 16:09:35 GMT",
"version": "v3"
}
] |
2010-02-05
|
[
[
"Nam",
"Soonkeon",
"",
"Harvard and Kyung Hee Univ."
]
] |
We consider the Newton's force law for brane world consisting of periodic configuration of branes. We show that it supports a massless graviton. Furthermore, this massless mode is well separated from the Kaluza-Klein spectrum by a mass gap. Thus most of the problems in phenomenology coming from continuum of Kaluza-Klein modes without mass gap are potentially cured in such a model.
|
2005.12642
|
Hikaru Uchida
|
Shota Kikuchi, Tatsuo Kobayashi, Shintaro Takada, Takuya H. Tatsuishi,
and Hikaru Uchida
|
Revisiting modular symmetry in magnetized torus and orbifold
compactifications
|
29 pages
|
Phys. Rev. D 102, 105010 (2020)
|
10.1103/PhysRevD.102.105010
|
EPHOU-20-005
|
hep-th hep-ph math.NT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the modular symmetry in $T^2$ and orbifold comfactifications with
magnetic fluxes. There are $|M|$ zero-modes on $T^2$ with the magnetic flux
$M$. Their wavefunctions as well as massive modes behave as modular forms of
weight $1/2$ and represent the double covering group of $\Gamma \equiv
SL(2,\mathbb{Z})$, $\widetilde{\Gamma} \equiv \widetilde{SL}(2,\mathbb{Z})$.
Each wavefunction on $T^2$ with the magnetic flux $M$ transforms under
$\widetilde{\Gamma}(2|M|)$, which is the normal subgroup of
$\widetilde{SL}(2,\mathbb{Z})$. Then, $|M|$ zero-modes are representations of
the quotient group $\widetilde{\Gamma}'_{2|M|} \equiv
\widetilde{\Gamma}/\widetilde{\Gamma}(2|M|)$. We also study the modular
symmetry on twisted and shifted orbifolds $T^2/\mathbb{Z}_N$. Wavefunctions are
decomposed into smaller representations by eigenvalues of twist and shift. They
provide us with reduction of reducible representations on $T^2$.
|
[
{
"created": "Tue, 26 May 2020 11:52:45 GMT",
"version": "v1"
},
{
"created": "Sat, 7 Nov 2020 04:41:22 GMT",
"version": "v2"
}
] |
2020-11-18
|
[
[
"Kikuchi",
"Shota",
""
],
[
"Kobayashi",
"Tatsuo",
""
],
[
"Takada",
"Shintaro",
""
],
[
"Tatsuishi",
"Takuya H.",
""
],
[
"Uchida",
"Hikaru",
""
]
] |
We study the modular symmetry in $T^2$ and orbifold comfactifications with magnetic fluxes. There are $|M|$ zero-modes on $T^2$ with the magnetic flux $M$. Their wavefunctions as well as massive modes behave as modular forms of weight $1/2$ and represent the double covering group of $\Gamma \equiv SL(2,\mathbb{Z})$, $\widetilde{\Gamma} \equiv \widetilde{SL}(2,\mathbb{Z})$. Each wavefunction on $T^2$ with the magnetic flux $M$ transforms under $\widetilde{\Gamma}(2|M|)$, which is the normal subgroup of $\widetilde{SL}(2,\mathbb{Z})$. Then, $|M|$ zero-modes are representations of the quotient group $\widetilde{\Gamma}'_{2|M|} \equiv \widetilde{\Gamma}/\widetilde{\Gamma}(2|M|)$. We also study the modular symmetry on twisted and shifted orbifolds $T^2/\mathbb{Z}_N$. Wavefunctions are decomposed into smaller representations by eigenvalues of twist and shift. They provide us with reduction of reducible representations on $T^2$.
|
0704.2071
|
Tomasz Taylor
|
Tomasz R. Taylor
|
Non-commutative Field Theory with Twistor-like Coordinates
|
Momentum-dependence of the propagator and more details. Final version
for Physics Letters B
|
Phys.Lett.B656:141-144,2007
|
10.1016/j.physletb.2007.09.014
| null |
hep-th gr-qc math-ph math.MP
| null |
We consider quantum field theory in four-dimensional Minkowski spacetime,
with the position coordinates represented by twistors instead of the usual
world-vectors. Upon imposing canonical commutation relations between twistors
and dual twistors, quantum theory of fields described by non-holomorphic
functions of twistor variables becomes manifestly non-commutative, with Lorentz
symmetry broken by a time-like vector. We discuss the free field propagation
and its impact on the short- and long-distance behavior of physical amplitudes
in perturbation theory. In the ultraviolet limit, quantum field theories in
twistor space are generically less divergent than their commutative
counterparts. Furthermore, there is no infrared--ultraviolet mixing problem.
|
[
{
"created": "Mon, 16 Apr 2007 21:00:24 GMT",
"version": "v1"
},
{
"created": "Sun, 16 Sep 2007 23:01:12 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Taylor",
"Tomasz R.",
""
]
] |
We consider quantum field theory in four-dimensional Minkowski spacetime, with the position coordinates represented by twistors instead of the usual world-vectors. Upon imposing canonical commutation relations between twistors and dual twistors, quantum theory of fields described by non-holomorphic functions of twistor variables becomes manifestly non-commutative, with Lorentz symmetry broken by a time-like vector. We discuss the free field propagation and its impact on the short- and long-distance behavior of physical amplitudes in perturbation theory. In the ultraviolet limit, quantum field theories in twistor space are generically less divergent than their commutative counterparts. Furthermore, there is no infrared--ultraviolet mixing problem.
|
1901.10273
|
Fernando Tadeu Caldeira Brandt
|
F. T. Brandt, J. Frenkel, D. G. C. McKeon and G. S. S. Sakoda
|
Use of Lagrange multiplier fields to eliminate multiloop corrections
|
Eighteen pages, one figure. Published in Physical Review D (typos
corrected)
|
Phys. Rev. D 100, 125014 (2019)
|
10.1103/PhysRevD.100.125014
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The problem of eliminating divergences arising in quantum gravity is
generally addressed by modifying the classical Einstein-Hilbert action. These
modifications might involve the introduction of local supersymmetry, the
addition of terms that are higher-order in the curvature to the action, or
invoking compactification of superstring theory from ten to four dimensions. An
alternative to these approaches is to introduce a Lagrange multiplier field
that restricts the path integral to field configurations that satisfy the
classical equations of motion; this has the effect of doubling the usual
one-loop contributions and of eliminating all effects beyond one loop. We show
how this reduction of loop contributions occurs and find the gauge invariances
present when such a Lagrange multiplier is introduced into the Yang-Mills and
Einstein-Hilbert actions. Moreover, we quantize using the path integral,
discuss the renormalization, and then show how Becchi-Rouet-Stora-Tyutin (BRST)
invariance can be used to both demonstrate that unitarity is retained and to
find BRST relations between Greens functions. In the Appendices, we show how
the background field quantization can be implemented, consider the use of a
Lagrange multiplier field to restrict higher-order contributions in
supersymmetric theories, and derive the BRST equations satisfied by the
generating functional.
|
[
{
"created": "Tue, 29 Jan 2019 13:26:12 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Jan 2019 12:13:09 GMT",
"version": "v2"
},
{
"created": "Sat, 29 Jun 2019 22:42:26 GMT",
"version": "v3"
},
{
"created": "Mon, 25 Nov 2019 23:47:06 GMT",
"version": "v4"
},
{
"created": "Thu, 12 Dec 2019 11:25:56 GMT",
"version": "v5"
},
{
"created": "Tue, 14 Dec 2021 13:42:58 GMT",
"version": "v6"
}
] |
2021-12-15
|
[
[
"Brandt",
"F. T.",
""
],
[
"Frenkel",
"J.",
""
],
[
"McKeon",
"D. G. C.",
""
],
[
"Sakoda",
"G. S. S.",
""
]
] |
The problem of eliminating divergences arising in quantum gravity is generally addressed by modifying the classical Einstein-Hilbert action. These modifications might involve the introduction of local supersymmetry, the addition of terms that are higher-order in the curvature to the action, or invoking compactification of superstring theory from ten to four dimensions. An alternative to these approaches is to introduce a Lagrange multiplier field that restricts the path integral to field configurations that satisfy the classical equations of motion; this has the effect of doubling the usual one-loop contributions and of eliminating all effects beyond one loop. We show how this reduction of loop contributions occurs and find the gauge invariances present when such a Lagrange multiplier is introduced into the Yang-Mills and Einstein-Hilbert actions. Moreover, we quantize using the path integral, discuss the renormalization, and then show how Becchi-Rouet-Stora-Tyutin (BRST) invariance can be used to both demonstrate that unitarity is retained and to find BRST relations between Greens functions. In the Appendices, we show how the background field quantization can be implemented, consider the use of a Lagrange multiplier field to restrict higher-order contributions in supersymmetric theories, and derive the BRST equations satisfied by the generating functional.
|
hep-th/0306061
|
Keith Hannabuss
|
K.C. Hannabuss and M. Semplice (U. of Oxford)
|
Boundary conformal fields and Tomita--Takesaki theory
|
plain TeX
|
J.Math.Phys. 44 (2003) 5517-5529
|
10.1063/1.1625872
| null |
hep-th
| null |
Motivated by formal similarities between the continuum limit of the Ising
model and the Unruh effect, this paper connects the notion of an Ishibashi
state in boundary conformal field theory with the Tomita--Takesaki theory for
operator algebras. A geometrical approach to the definition of Ishibashi states
is presented, and it is shownthat, when normalisable the Ishibashi states are
cyclic separating states, justifying the operator state correspondence. When
the states are not normalisable Tomita--Takesaki theory offers an alternative
approach based on left Hilbert algebras, opening the way to extensions of our
construction and the state-operator correspondence.
|
[
{
"created": "Mon, 9 Jun 2003 16:14:58 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Hannabuss",
"K. C.",
"",
"U. of Oxford"
],
[
"Semplice",
"M.",
"",
"U. of Oxford"
]
] |
Motivated by formal similarities between the continuum limit of the Ising model and the Unruh effect, this paper connects the notion of an Ishibashi state in boundary conformal field theory with the Tomita--Takesaki theory for operator algebras. A geometrical approach to the definition of Ishibashi states is presented, and it is shownthat, when normalisable the Ishibashi states are cyclic separating states, justifying the operator state correspondence. When the states are not normalisable Tomita--Takesaki theory offers an alternative approach based on left Hilbert algebras, opening the way to extensions of our construction and the state-operator correspondence.
|
1307.3469
|
Bert Schroer
|
Bert Schroer
|
Interactions with quadratic dependence on string-localized massive
vectormesons: massive scalar quantum electrodynamics
|
The paper needed major reformulation and it was easier to incorporate
its content in a different context of a new paper arXiv:1407.0360
| null | null | null |
hep-th hep-ph math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Wigner's famous 1939 classification of positive energy representations,
combined with the more recent modular localization principle, has led to a
significant conceptual and computational extension of renormalized perturbation
theory to interactions involving fields of higher spin s>1/2. The starting
observation was that the well-known clash between point-localized gauge
theories and the Hilbert space, which hitherto has been solved by using a Krein
space setting, can also be solved by preserving the Hilbert space setting; in
this case the theory selects the tightest covariant localization which is
consistent with the Hilbert space positivity. The resulting semiinfinite
spacelike string-localization for all (m=0,s>1/2) representations does not only
lead to a new insight into the origin of infrared problems (including
confinement), but also improves the short-distance behavior of massive s>1/2
fields to the extend that the power-counting criterion admits candidates for
renormalizable interactions for arbitrary high spins. In this work the new
situation is exemplified for the interaction of massive vectormesons with
scalar charged- and neutral- (Higgs) matter, for which the new "adiabatic
equivalence principle" leads to a local relation between a renormalizable
stringlike and a nonrenormalizable (but nevertheless finite-parametric)
pointlike interaction.
|
[
{
"created": "Fri, 5 Jul 2013 19:02:13 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Jul 2013 15:42:46 GMT",
"version": "v2"
},
{
"created": "Tue, 8 Jul 2014 15:08:14 GMT",
"version": "v3"
},
{
"created": "Wed, 27 Aug 2014 12:11:13 GMT",
"version": "v4"
}
] |
2014-08-28
|
[
[
"Schroer",
"Bert",
""
]
] |
Wigner's famous 1939 classification of positive energy representations, combined with the more recent modular localization principle, has led to a significant conceptual and computational extension of renormalized perturbation theory to interactions involving fields of higher spin s>1/2. The starting observation was that the well-known clash between point-localized gauge theories and the Hilbert space, which hitherto has been solved by using a Krein space setting, can also be solved by preserving the Hilbert space setting; in this case the theory selects the tightest covariant localization which is consistent with the Hilbert space positivity. The resulting semiinfinite spacelike string-localization for all (m=0,s>1/2) representations does not only lead to a new insight into the origin of infrared problems (including confinement), but also improves the short-distance behavior of massive s>1/2 fields to the extend that the power-counting criterion admits candidates for renormalizable interactions for arbitrary high spins. In this work the new situation is exemplified for the interaction of massive vectormesons with scalar charged- and neutral- (Higgs) matter, for which the new "adiabatic equivalence principle" leads to a local relation between a renormalizable stringlike and a nonrenormalizable (but nevertheless finite-parametric) pointlike interaction.
|
0707.1056
|
Fabrizio Canfora
|
Fabrizio Canfora, Alex Giacomini, Ricardo Troncoso
|
Black holes, parallelizable horizons and half-BPS states for the
Einstein-Gauss-Bonnet theory in five dimensions
|
11 pages, no figures, notation clarified; version accepted for
publication in Physical Review D
|
Phys.Rev.D77:024002,2008
|
10.1103/PhysRevD.77.024002
|
CECS-PHY-07/14
|
hep-th gr-qc
| null |
Exact vacuum solutions with a nontrivial torsion for the
Einstein-Gauss-Bonnet theory in five dimensions are constructed. We consider a
class of static metrics whose spacelike section is a warped product of the real
line with a nontrivial base manifold endowed with a fully antisymmetric
torsion. It is shown requiring solutions of this sort to exist, fixes the
Gauss-Bonnet coupling such that the Lagrangian can be written as a Chern-Simons
form. The metric describes black holes with an arbitrary, but fixed, base
manifold. It is shown that requiring its ground state to possess unbroken
supersymmetries, fixes the base manifold to be locally a parallelized
three-sphere. The ground state turns out to be half-BPS, which could not be
achieved in the absence of torsion in vacuum. The Killing spinors are
explicitly found.
|
[
{
"created": "Fri, 6 Jul 2007 22:38:23 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Jul 2007 02:30:56 GMT",
"version": "v2"
},
{
"created": "Fri, 16 Nov 2007 16:55:56 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Canfora",
"Fabrizio",
""
],
[
"Giacomini",
"Alex",
""
],
[
"Troncoso",
"Ricardo",
""
]
] |
Exact vacuum solutions with a nontrivial torsion for the Einstein-Gauss-Bonnet theory in five dimensions are constructed. We consider a class of static metrics whose spacelike section is a warped product of the real line with a nontrivial base manifold endowed with a fully antisymmetric torsion. It is shown requiring solutions of this sort to exist, fixes the Gauss-Bonnet coupling such that the Lagrangian can be written as a Chern-Simons form. The metric describes black holes with an arbitrary, but fixed, base manifold. It is shown that requiring its ground state to possess unbroken supersymmetries, fixes the base manifold to be locally a parallelized three-sphere. The ground state turns out to be half-BPS, which could not be achieved in the absence of torsion in vacuum. The Killing spinors are explicitly found.
|
0807.4223
|
Xavier Bekaert
|
Xavier Bekaert
|
Comments on higher-spin symmetries
|
53+1 pages, erratum: a minor error in corollary 3 removed
|
Int.J.Geom.Meth.Mod.Phys.6:285-342,2009
|
10.1142/S0219887809003527
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The unconstrained frame-like formulation of an infinite tower of completely
symmetric tensor gauge fields is reviewed and examined in the limit where the
cosmological constant goes to zero. By partially fixing the gauge and solving
the torsion constraints, the form of the gauge transformations in the
unconstrained metric-like formulation are obtained till first order in a weak
field expansion. The algebra of the corresponding gauge symmetries is shown to
be equivalent, at this order and modulo (unphysical) gauge parameter
redefinitions, to the Lie algebra of Hermitian differential operators on R^n,
the restriction of which to the spin-two sector is the Lie algebra of
infinitesimal diffeomorphisms.
|
[
{
"created": "Mon, 28 Jul 2008 14:07:24 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Aug 2008 15:58:20 GMT",
"version": "v2"
},
{
"created": "Mon, 1 Dec 2008 19:23:30 GMT",
"version": "v3"
},
{
"created": "Fri, 13 Feb 2009 17:02:11 GMT",
"version": "v4"
},
{
"created": "Sun, 14 Nov 2010 16:25:56 GMT",
"version": "v5"
},
{
"created": "Mon, 5 Sep 2022 06:58:34 GMT",
"version": "v6"
}
] |
2022-09-07
|
[
[
"Bekaert",
"Xavier",
""
]
] |
The unconstrained frame-like formulation of an infinite tower of completely symmetric tensor gauge fields is reviewed and examined in the limit where the cosmological constant goes to zero. By partially fixing the gauge and solving the torsion constraints, the form of the gauge transformations in the unconstrained metric-like formulation are obtained till first order in a weak field expansion. The algebra of the corresponding gauge symmetries is shown to be equivalent, at this order and modulo (unphysical) gauge parameter redefinitions, to the Lie algebra of Hermitian differential operators on R^n, the restriction of which to the spin-two sector is the Lie algebra of infinitesimal diffeomorphisms.
|
1103.0322
|
Johannes Broedel
|
Johannes Broedel, Renata Kallosh
|
From lightcone actions to maximally supersymmetric amplitudes
|
29 pages, 2 figures, v2: title modified, published version
|
JHEP 1106:024,2011
|
10.1007/JHEP06(2011)024
|
SU-ITP-11/05
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this article actions for N=4 SYM and N=8 supergravity are formulated in
terms of a chiral superfield, which contains only the physical degrees of
freedom of either theory. In these new actions, which originate from the
lightcone superspace, the supergravity cubic vertex is the square of the gauge
theory one (omitting the color structures). Amplitude calculations using the
corresponding Feynman supergraph rules are tedious, but can be simplified by
choosing a preferred superframe. Recursive calculations of all MHV amplitudes
in N=4 SYM and the four-point N=8 supergravity amplitude are shown to agree
with the known results and connections to the BCFW recursion relations are
pointed out. Finally, the new path integrals are discussed in the context of
the double-copy property relating N=4 SYM theory to N=8 supergravity.
|
[
{
"created": "Wed, 2 Mar 2011 00:28:02 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Aug 2011 16:42:43 GMT",
"version": "v2"
}
] |
2011-08-29
|
[
[
"Broedel",
"Johannes",
""
],
[
"Kallosh",
"Renata",
""
]
] |
In this article actions for N=4 SYM and N=8 supergravity are formulated in terms of a chiral superfield, which contains only the physical degrees of freedom of either theory. In these new actions, which originate from the lightcone superspace, the supergravity cubic vertex is the square of the gauge theory one (omitting the color structures). Amplitude calculations using the corresponding Feynman supergraph rules are tedious, but can be simplified by choosing a preferred superframe. Recursive calculations of all MHV amplitudes in N=4 SYM and the four-point N=8 supergravity amplitude are shown to agree with the known results and connections to the BCFW recursion relations are pointed out. Finally, the new path integrals are discussed in the context of the double-copy property relating N=4 SYM theory to N=8 supergravity.
|
1510.05713
|
Daniel Robbins
|
Katrin Becker, Melanie Becker and Daniel Robbins
|
The alpha'-Expansion of Calabi-Yau Compactifications
|
9 pages
| null | null |
MI-TH-1534
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider alpha'-corrections to Calabi-Yau compactifications of type II
string theory. These were discussed from the string worldsheet approach many
years ago in terms of supersymmetric non-linear sigma-models by Nemeschansky
and Sen as well as Gross and Witten. There it was shown that once
alpha'-corrections are included, the internal manifold solving the string
equations of motion is still Calabi-Yau though not Ricci flat. In this brief
note we review these results and compare with a space-time effective field
theory approach, in which we show that SU(3)-holonomy manifolds become
SU(3)-structure manifolds once such corrections are included.
|
[
{
"created": "Mon, 19 Oct 2015 22:45:44 GMT",
"version": "v1"
}
] |
2015-10-21
|
[
[
"Becker",
"Katrin",
""
],
[
"Becker",
"Melanie",
""
],
[
"Robbins",
"Daniel",
""
]
] |
We consider alpha'-corrections to Calabi-Yau compactifications of type II string theory. These were discussed from the string worldsheet approach many years ago in terms of supersymmetric non-linear sigma-models by Nemeschansky and Sen as well as Gross and Witten. There it was shown that once alpha'-corrections are included, the internal manifold solving the string equations of motion is still Calabi-Yau though not Ricci flat. In this brief note we review these results and compare with a space-time effective field theory approach, in which we show that SU(3)-holonomy manifolds become SU(3)-structure manifolds once such corrections are included.
|
2004.07555
|
Kazuhiro Sakai
|
Kazumi Okuyama, Kazuhiro Sakai
|
Multi-boundary correlators in JT gravity
|
38 pages, 3 figures, v2: typos corrected, a reference added, v3: a
reference and explanations added, section 6 simplified, published version
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We continue the systematic study of the thermal partition function of
Jackiw-Teitelboim (JT) gravity started in [arXiv:1911.01659]. We generalize our
analysis to the case of multi-boundary correlators with the help of the
boundary creation operator. We clarify how the Korteweg-de Vries constraints
arise in the presence of multiple boundaries, deriving differential equations
obeyed by the correlators. The differential equations allow us to compute the
genus expansion of the correlators up to any order without ambiguity. We also
formulate a systematic method of calculating the WKB expansion of the
Baker-Akhiezer function and the 't Hooft expansion of the multi-boundary
correlators. This new formalism is much more efficient than our previous method
based on the topological recursion. We further investigate the low temperature
expansion of the two-boundary correlator. We formulate a method of computing it
up to any order and also find a universal form of the two-boundary correlator
in terms of the error function. Using this result we are able to write down the
analytic form of the spectral form factor in JT gravity and show how the ramp
and plateau behavior comes about. We also study the Hartle-Hawking state in the
free boson/fermion representation of the tau-function and discuss how it should
be related to the multi-boundary correlators.
|
[
{
"created": "Thu, 16 Apr 2020 09:48:25 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Apr 2020 00:45:09 GMT",
"version": "v2"
},
{
"created": "Sat, 29 Aug 2020 06:11:31 GMT",
"version": "v3"
}
] |
2020-09-01
|
[
[
"Okuyama",
"Kazumi",
""
],
[
"Sakai",
"Kazuhiro",
""
]
] |
We continue the systematic study of the thermal partition function of Jackiw-Teitelboim (JT) gravity started in [arXiv:1911.01659]. We generalize our analysis to the case of multi-boundary correlators with the help of the boundary creation operator. We clarify how the Korteweg-de Vries constraints arise in the presence of multiple boundaries, deriving differential equations obeyed by the correlators. The differential equations allow us to compute the genus expansion of the correlators up to any order without ambiguity. We also formulate a systematic method of calculating the WKB expansion of the Baker-Akhiezer function and the 't Hooft expansion of the multi-boundary correlators. This new formalism is much more efficient than our previous method based on the topological recursion. We further investigate the low temperature expansion of the two-boundary correlator. We formulate a method of computing it up to any order and also find a universal form of the two-boundary correlator in terms of the error function. Using this result we are able to write down the analytic form of the spectral form factor in JT gravity and show how the ramp and plateau behavior comes about. We also study the Hartle-Hawking state in the free boson/fermion representation of the tau-function and discuss how it should be related to the multi-boundary correlators.
|
2007.03566
|
Cesar Gomez
|
Cesar Gomez
|
Topological susceptibility and information theory
|
4 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note we address the question of the $\theta$ dependence in non
abelian gauge theories from a pure quantum information point of view. The main
result is that the topological susceptibility is the quantum Fisher information
of the ground state and that the maximally efficient quantum estimator of
$\theta$ can be identified with the physical axion. In this setup the low
energy dynamics of the axion is fully determined by quantum estimation theory.
|
[
{
"created": "Tue, 7 Jul 2020 15:41:54 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Nov 2020 11:50:22 GMT",
"version": "v2"
}
] |
2020-11-09
|
[
[
"Gomez",
"Cesar",
""
]
] |
In this note we address the question of the $\theta$ dependence in non abelian gauge theories from a pure quantum information point of view. The main result is that the topological susceptibility is the quantum Fisher information of the ground state and that the maximally efficient quantum estimator of $\theta$ can be identified with the physical axion. In this setup the low energy dynamics of the axion is fully determined by quantum estimation theory.
|
hep-th/9801064
|
Amit Ghosh
|
A. Ghosh (CERN)
|
Effectiveness of One-dimensional gas models for black holes
|
14 pages, Latex, misprints corrected, reference added and minor
changes made
|
Phys.Lett. B425 (1998) 269-276
|
10.1016/S0370-2693(98)00268-8
|
CERN-TH/98-09
|
hep-th gr-qc
| null |
A one-dimensional gas model has been constructed and shown to provide correct
expressions for entropies for extremal and near-extremal BTZ black holes.
Recently suggested boosting of black strings is used to compute the entropy for
the Schwarzschild black hole also from this gas model.
|
[
{
"created": "Mon, 12 Jan 1998 12:16:25 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Jan 1998 17:47:23 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Ghosh",
"A.",
"",
"CERN"
]
] |
A one-dimensional gas model has been constructed and shown to provide correct expressions for entropies for extremal and near-extremal BTZ black holes. Recently suggested boosting of black strings is used to compute the entropy for the Schwarzschild black hole also from this gas model.
|
hep-th/0502038
|
Kwang-Hua Chu A.
|
A. Kwang-Hua Chu
|
K-essential Phantom Energy: Doomsday around the Corner? Revisited
|
1 Figure, 6 pages
|
Int.J.Theor.Phys.46:2753-2757,2007
|
10.1007/s10773-007-9386-2
| null |
hep-th
| null |
We generalize some of those results reported by Gonz\'{a}lez-D\'{i}az by
further tuning the parameter ($\beta$) which is closely related to the
canonical kinetic term in $k$-essence formalism. The scale factor $a(t)$ could
be negative and decreasing within a specific range of $\beta$ ($\equiv
-1/\omega$, $\omega$ : the equation-of-state parameter) during the initial
evolutional period.
|
[
{
"created": "Thu, 3 Feb 2005 09:38:43 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Feb 2005 06:18:27 GMT",
"version": "v2"
},
{
"created": "Tue, 22 Mar 2005 07:29:05 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Chu",
"A. Kwang-Hua",
""
]
] |
We generalize some of those results reported by Gonz\'{a}lez-D\'{i}az by further tuning the parameter ($\beta$) which is closely related to the canonical kinetic term in $k$-essence formalism. The scale factor $a(t)$ could be negative and decreasing within a specific range of $\beta$ ($\equiv -1/\omega$, $\omega$ : the equation-of-state parameter) during the initial evolutional period.
|
hep-th/0610239
|
M. Hossein Dehghani
|
M. H. Dehghani and H. R. Rastegar Sedehi
|
Thermodynamics of rotating black branes in $(n+1)$-dimensional
Einstein-Born-Infeld gravity
|
12 pages, one figure
|
Phys.Rev.D74:124018,2006
|
10.1103/PhysRevD.74.124018
| null |
hep-th
| null |
We construct a new class of charged rotating solutions of $(n+1)$-dimensional
Einstein-Born-Infeld gravity with cylindrical or toroidal horizons in the
presence of cosmological constant and investigate their properties. These
solutions are asymptotically (anti)-de Sitter and reduce to the solutions of
Einstein-Maxwell gravity as the Born-Infeld parameters goes to infinity. We
find that these solutions can represent black branes, with inner and outer
event horizons, an extreme black brane or a naked singularity provided the
parameters of the solutions are chosen suitably. We compute temperature, mass,
angular momentum, entropy, charge and electric potential of the black brane
solutions. We obtain a Smarr-type formula and show that these quantities
satisfy the first law of thermodynamics. We also perform a stability analysis
by computing the heat capacity and the determinant of Hessian matrix of mass
with respect to its thermodynamic variables in both the canonical and the
grand-canonical ensembles, and show that the system is thermally stable in the
whole phase space.
|
[
{
"created": "Mon, 23 Oct 2006 07:39:11 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Dehghani",
"M. H.",
""
],
[
"Sedehi",
"H. R. Rastegar",
""
]
] |
We construct a new class of charged rotating solutions of $(n+1)$-dimensional Einstein-Born-Infeld gravity with cylindrical or toroidal horizons in the presence of cosmological constant and investigate their properties. These solutions are asymptotically (anti)-de Sitter and reduce to the solutions of Einstein-Maxwell gravity as the Born-Infeld parameters goes to infinity. We find that these solutions can represent black branes, with inner and outer event horizons, an extreme black brane or a naked singularity provided the parameters of the solutions are chosen suitably. We compute temperature, mass, angular momentum, entropy, charge and electric potential of the black brane solutions. We obtain a Smarr-type formula and show that these quantities satisfy the first law of thermodynamics. We also perform a stability analysis by computing the heat capacity and the determinant of Hessian matrix of mass with respect to its thermodynamic variables in both the canonical and the grand-canonical ensembles, and show that the system is thermally stable in the whole phase space.
|
hep-th/9810206
|
Frederic Zamora
|
Jacques Distler and Frederic Zamora
|
Non-Supersymmetric Conformal Field Theories from Stable Anti-de Sitter
Spaces
|
35 pages, 4 figures (published version)
|
Adv.Theor.Math.Phys.2:1405-1439,1999
| null |
UTTG-14-98
|
hep-th
| null |
We describe new non-supersymmetric conformal field theories in three and four
dimensions, using the CFT/AdS correspondence. In order to believe in their
existence at large N_c and strong 't Hooft coupling, we explicitly check the
stability of the corresponding non-supersymmetric anti-de Sitter backgrounds.
Cases of particular interest are the relevant deformations of the N=4 SCFT in
SU(3) and SO(5) invariant directions. It turns out that the former is a stable,
and the latter an unstable non-supersymmetric type IIB background.
|
[
{
"created": "Mon, 26 Oct 1998 20:07:18 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Nov 1998 03:42:16 GMT",
"version": "v2"
},
{
"created": "Fri, 14 May 1999 14:42:46 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Distler",
"Jacques",
""
],
[
"Zamora",
"Frederic",
""
]
] |
We describe new non-supersymmetric conformal field theories in three and four dimensions, using the CFT/AdS correspondence. In order to believe in their existence at large N_c and strong 't Hooft coupling, we explicitly check the stability of the corresponding non-supersymmetric anti-de Sitter backgrounds. Cases of particular interest are the relevant deformations of the N=4 SCFT in SU(3) and SO(5) invariant directions. It turns out that the former is a stable, and the latter an unstable non-supersymmetric type IIB background.
|
hep-th/0211167
|
John W. Moffat
|
J. W. Moffat
|
Spontaneous Violation of Lorentz Invariance and Ultra-High Energy Cosmic
Rays
|
12 pages LaTex. No figures. Misprints corrected. Minor changes to
equations. References updated. To be published in Int. J. Mod. Phys. D
|
Int.J.Mod.Phys. D12 (2003) 1279-1288
|
10.1142/S0218271803003633
| null |
hep-th astro-ph gr-qc hep-ph
| null |
We propose that local Lorentz invariance is spontaneously violated at high
energies, due to a nonvanishing vacuum expectation value of a vector field
\phi^\mu, as a possible explanation of the observation of ultra-high energy
cosmic rays with an energy above the GZK cutoff. Certain consequences of
spontaneous breaking of Lorentz invariance in cosmology are discussed.
|
[
{
"created": "Mon, 18 Nov 2002 17:27:20 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Aug 2003 20:47:03 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Moffat",
"J. W.",
""
]
] |
We propose that local Lorentz invariance is spontaneously violated at high energies, due to a nonvanishing vacuum expectation value of a vector field \phi^\mu, as a possible explanation of the observation of ultra-high energy cosmic rays with an energy above the GZK cutoff. Certain consequences of spontaneous breaking of Lorentz invariance in cosmology are discussed.
|
hep-th/9909207
|
Luka Sustersic
|
Marijan Ribaric and Luka Sustersic
|
Regularization of QED by a generalized 't Hooft and Veltman method
|
RevTeX, 5 pages, nofigures; changed title and changed and added few
sentences to stress that this is an example, and to shortly explain the
framework of the original 't Hooft and Veltman regularization method
| null | null | null |
hep-th
| null |
Generalizing the 't Hooft and Veltman method of unitary regulators, we
demonstrate for the first time the existence of local, Lorentz-invariant,
physically motivated Lagrangians of quantum-electrodynamic phenomena such that:
(i) Feynman diagrams are finite and equal the diagrams of QED but with
regularized propagators. (ii) N-point Green functions are causal. (iii)
S-matrix relates only electrons, positrons and photons, is unitary and
Lorentz-invariant, and conserves charge and total four-momentum.
|
[
{
"created": "Wed, 29 Sep 1999 08:02:16 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Jun 2000 13:14:46 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Ribaric",
"Marijan",
""
],
[
"Sustersic",
"Luka",
""
]
] |
Generalizing the 't Hooft and Veltman method of unitary regulators, we demonstrate for the first time the existence of local, Lorentz-invariant, physically motivated Lagrangians of quantum-electrodynamic phenomena such that: (i) Feynman diagrams are finite and equal the diagrams of QED but with regularized propagators. (ii) N-point Green functions are causal. (iii) S-matrix relates only electrons, positrons and photons, is unitary and Lorentz-invariant, and conserves charge and total four-momentum.
|
0902.2869
|
Mohammad Ali-Akbari
|
M. Ali-Akbari
|
3d CFT and Multi M2-brane Theory on RxS^2
|
13 pages
|
JHEP 0903:148,2009
|
10.1088/1126-6708/2009/03/148
|
IPM/P-2009/004
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The radial quantization of N=8 theory in three dimensions is considered i.e.
we study the N=8 BLG theory on RxS^2. We present the explicit from of the
Lagrangian and the corresponding supersymmetry transformations and
supersymmetry algebra. We study spectrum of this theory and some of its BPS
configurations.
|
[
{
"created": "Tue, 17 Feb 2009 09:18:05 GMT",
"version": "v1"
},
{
"created": "Sat, 21 Feb 2009 08:30:30 GMT",
"version": "v2"
},
{
"created": "Sat, 4 Apr 2009 06:59:47 GMT",
"version": "v3"
}
] |
2009-04-04
|
[
[
"Ali-Akbari",
"M.",
""
]
] |
The radial quantization of N=8 theory in three dimensions is considered i.e. we study the N=8 BLG theory on RxS^2. We present the explicit from of the Lagrangian and the corresponding supersymmetry transformations and supersymmetry algebra. We study spectrum of this theory and some of its BPS configurations.
|
1910.07549
|
Federico Bonetti
|
Ibrahima Bah, Federico Bonetti
|
Anomaly Inflow, Accidental Symmetry, and Spontaneous Symmetry Breaking
| null | null |
10.1007/JHEP01(2020)117
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the 6d (1,0) SCFT on a stack of $N$ M5-branes probing a $\mathbb
C^2/\mathbb Z_2$ singularity. In particular, we study its compactifications to
four dimensions on a smooth genus-$g$ Riemann surface with non-trivial flavor
flux, yielding a family of 4d CFTs. By tracking the M-theory origin of the
global symmetries of the 4d CFTs, we detect the emergence of an accidental
symmetry and the spontaneous symmetry breaking of a $U(1)$ generator. These
effects are visible from geometric considerations and not apparent from the
point of view of the compactification of the 6d field theory. These phenomena
leave an imprint on the 't Hooft anomaly polynomial of the 4d CFTs, which is
obtained from recently developed anomaly inflow methods in M-theory. In the
large-$N$ limit, we identify the gravity dual of the 4d setups to be a class of
smooth $AdS_5$ solutions first discussed by Gauntlett-Martelli-Sparks-Waldram.
Using our anomaly polynomial, we compute the conformal central charge and a
non-Abelian flavor central charge at large $N$, finding agreement with the
holographic predictions.
|
[
{
"created": "Wed, 16 Oct 2019 18:00:31 GMT",
"version": "v1"
}
] |
2020-02-19
|
[
[
"Bah",
"Ibrahima",
""
],
[
"Bonetti",
"Federico",
""
]
] |
We consider the 6d (1,0) SCFT on a stack of $N$ M5-branes probing a $\mathbb C^2/\mathbb Z_2$ singularity. In particular, we study its compactifications to four dimensions on a smooth genus-$g$ Riemann surface with non-trivial flavor flux, yielding a family of 4d CFTs. By tracking the M-theory origin of the global symmetries of the 4d CFTs, we detect the emergence of an accidental symmetry and the spontaneous symmetry breaking of a $U(1)$ generator. These effects are visible from geometric considerations and not apparent from the point of view of the compactification of the 6d field theory. These phenomena leave an imprint on the 't Hooft anomaly polynomial of the 4d CFTs, which is obtained from recently developed anomaly inflow methods in M-theory. In the large-$N$ limit, we identify the gravity dual of the 4d setups to be a class of smooth $AdS_5$ solutions first discussed by Gauntlett-Martelli-Sparks-Waldram. Using our anomaly polynomial, we compute the conformal central charge and a non-Abelian flavor central charge at large $N$, finding agreement with the holographic predictions.
|
1905.08213
|
Nathan Moynihan
|
William T Emond, Nathan Moynihan
|
Scattering Amplitudes, Black Holes and Leading Singularities in Cubic
Theories of Gravity
|
Updated to reflect published version
| null |
10.1007/JHEP12(2019)019
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the semi-classical potential arising from a generic theory of
cubic gravity, a higher derivative theory of spin-2 particles, in the framework
of modern amplitude techniques. We show that there are several interesting
aspects of the potential, including some non-dispersive terms that lead to
black hole solutions (include quantum corrections) that agree with those
derived in Einsteinian cubic gravity (ECG). We show that these non-dispersive
terms could be obtained from theories that include the Gauss-Bonnet cubic
invariant $G_3$. In addition, we derive the one-loop scattering amplitudes
using both unitarity cuts and via the leading singularity, showing that the
classical effects of higher derivative gravity can be easily obtained directly
from the leading singularity with far less computational cost.
|
[
{
"created": "Mon, 20 May 2019 16:55:35 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Jun 2019 15:48:43 GMT",
"version": "v2"
},
{
"created": "Thu, 7 Nov 2019 12:34:40 GMT",
"version": "v3"
}
] |
2020-01-29
|
[
[
"Emond",
"William T",
""
],
[
"Moynihan",
"Nathan",
""
]
] |
We compute the semi-classical potential arising from a generic theory of cubic gravity, a higher derivative theory of spin-2 particles, in the framework of modern amplitude techniques. We show that there are several interesting aspects of the potential, including some non-dispersive terms that lead to black hole solutions (include quantum corrections) that agree with those derived in Einsteinian cubic gravity (ECG). We show that these non-dispersive terms could be obtained from theories that include the Gauss-Bonnet cubic invariant $G_3$. In addition, we derive the one-loop scattering amplitudes using both unitarity cuts and via the leading singularity, showing that the classical effects of higher derivative gravity can be easily obtained directly from the leading singularity with far less computational cost.
|
hep-th/0001191
|
James T. Wheeler
|
Andre Wehner and James T. Wheeler
|
Actions for Biconformal Matter
|
5 pages
| null | null |
USU-FTG-193
|
hep-th
| null |
We extend 2n-dim biconformal gauge theory by including Lorentz-scalar matter
fields of arbitrary conformal weight. For a massless scalar field of conformal
weight zero in a torsion-free biconformal geometry, the solution is determined
by the Einstein equation on an n-dim submanifold, with the stress-energy tensor
of the scalar field as source. The matter field satisfies the n-dim
Klein-Gordon equation.
|
[
{
"created": "Thu, 27 Jan 2000 22:44:58 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Jan 2000 00:16:37 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Wehner",
"Andre",
""
],
[
"Wheeler",
"James T.",
""
]
] |
We extend 2n-dim biconformal gauge theory by including Lorentz-scalar matter fields of arbitrary conformal weight. For a massless scalar field of conformal weight zero in a torsion-free biconformal geometry, the solution is determined by the Einstein equation on an n-dim submanifold, with the stress-energy tensor of the scalar field as source. The matter field satisfies the n-dim Klein-Gordon equation.
|
1312.0536
|
Yoosof Koohsarian
|
Y. Koohsarian and A. Shirzad
|
Casimir-like corrections to the classical tensions of the strings and
membranes
|
14 pages, 2 figures; v8: the version accepted in PTEP
|
Prog. Theor. Exp. Phys.2014, 113A03
|
10.1093/ptep/ptu130
| null |
hep-th hep-ph quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We find the Casimir-like energies for strings and membranes. We show that the
related Casimir forces can be interpreted as quantum corrections to the
classical tensions of the strings and membranes. We see that these corrections
always increase the tensions of the circular string as well as spherical
membrane, while for the straight string, rectangular and cylindrical membranes,
these Casimir forces may increase or decrease the tensions. So we find that the
quantum vacuum can break the (tensional) isotropy of the rectangular and
cylindrical membranes. Also obtaining the nonzero-temperature Casimir energy,
we find relations for the tensions at nonzero temperature.
|
[
{
"created": "Mon, 2 Dec 2013 18:11:39 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Dec 2013 08:43:20 GMT",
"version": "v2"
},
{
"created": "Sun, 15 Dec 2013 02:49:14 GMT",
"version": "v3"
},
{
"created": "Tue, 17 Dec 2013 11:59:07 GMT",
"version": "v4"
},
{
"created": "Sat, 28 Dec 2013 12:38:15 GMT",
"version": "v5"
},
{
"created": "Tue, 31 Dec 2013 09:26:06 GMT",
"version": "v6"
},
{
"created": "Mon, 27 Jan 2014 18:31:09 GMT",
"version": "v7"
},
{
"created": "Tue, 19 Aug 2014 03:20:37 GMT",
"version": "v8"
},
{
"created": "Wed, 20 Aug 2014 16:22:54 GMT",
"version": "v9"
}
] |
2014-12-11
|
[
[
"Koohsarian",
"Y.",
""
],
[
"Shirzad",
"A.",
""
]
] |
We find the Casimir-like energies for strings and membranes. We show that the related Casimir forces can be interpreted as quantum corrections to the classical tensions of the strings and membranes. We see that these corrections always increase the tensions of the circular string as well as spherical membrane, while for the straight string, rectangular and cylindrical membranes, these Casimir forces may increase or decrease the tensions. So we find that the quantum vacuum can break the (tensional) isotropy of the rectangular and cylindrical membranes. Also obtaining the nonzero-temperature Casimir energy, we find relations for the tensions at nonzero temperature.
|
0708.0482
|
Stefan Hohenegger
|
I. Antoniadis, S. Hohenegger, K.S. Narain, E. Sokatchev
|
Harmonicity in N=4 supersymmetry and its quantum anomaly
|
36 pages
|
Nucl.Phys.B794:348-380,2008
|
10.1016/j.nuclphysb.2007.11.005
|
CERN-PH-TH/2007-132, LAPTH-1201/07
|
hep-th
| null |
The holomorphicity property of N=1 superpotentials or of N=2 F-terms
involving vector multiplets is generalized to the case of N=4 1/2-BPS effective
operators defined in harmonic superspace. The resulting harmonicity equations
are shown to control the moduli dependence of the couplings of higher
dimensional operators involving powers of the N=4 Weyl superfield, computed by
N=4 topological amplitudes. These equations can also be derived on the string
side, exhibiting an anomaly from world-sheet boundary contributions that leads
to recursion relations for the non-analytic part of the couplings.
|
[
{
"created": "Fri, 3 Aug 2007 09:56:19 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Antoniadis",
"I.",
""
],
[
"Hohenegger",
"S.",
""
],
[
"Narain",
"K. S.",
""
],
[
"Sokatchev",
"E.",
""
]
] |
The holomorphicity property of N=1 superpotentials or of N=2 F-terms involving vector multiplets is generalized to the case of N=4 1/2-BPS effective operators defined in harmonic superspace. The resulting harmonicity equations are shown to control the moduli dependence of the couplings of higher dimensional operators involving powers of the N=4 Weyl superfield, computed by N=4 topological amplitudes. These equations can also be derived on the string side, exhibiting an anomaly from world-sheet boundary contributions that leads to recursion relations for the non-analytic part of the couplings.
|
hep-th/0501234
|
Burkhard Eden
|
B. Eden
|
A two-loop test for the factorised S-matrix of planar N=4
|
18 pages LaTeX, 3 figures
|
Nucl.Phys. B738 (2006) 409-424
|
10.1016/j.nuclphysb.2006.01.012
|
AEI-2005-015
|
hep-th
| null |
We check the recently proposed higher loop Bethe-ansatz for the sl(2) sector
of N=4 at two loops by a direct perturbative calculation using N=2 superfields
in supersymmetric dimensional reduction. Our method can in principle address
operators built from many elementary fields and of arbitrary twist. We work out
in detail the spin three, twist three operator mixing problem at leading order
in N and find agreement with the prediction based on integrability.
|
[
{
"created": "Fri, 28 Jan 2005 17:10:27 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Eden",
"B.",
""
]
] |
We check the recently proposed higher loop Bethe-ansatz for the sl(2) sector of N=4 at two loops by a direct perturbative calculation using N=2 superfields in supersymmetric dimensional reduction. Our method can in principle address operators built from many elementary fields and of arbitrary twist. We work out in detail the spin three, twist three operator mixing problem at leading order in N and find agreement with the prediction based on integrability.
|
2008.05274
|
Arjun Kar
|
Vijay Balasubramanian, Arjun Kar, Tomonori Ugajin
|
Entanglement between two disjoint universes
|
30 pages, 7 figures, references added, improved discussion
| null |
10.1007/JHEP02(2021)136
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use the replica method to compute the entanglement entropy of a universe
without gravity entangled in a thermofield-double-like state with a disjoint
gravitating universe. Including wormholes between replicas of the latter gives
an entropy functional which includes an "island" on the gravitating universe.
We solve the back-reaction equations when the cosmological constant is negative
to show that this island coincides with a causal shadow region that is created
by the entanglement in the gravitating geometry. At high entanglement
temperatures, the island contribution to the entropy functional leads to a
bound on entanglement entropy, analogous to the Page behavior of evaporating
black holes. We demonstrate that the entanglement wedge of the non-gravitating
universe grows with the entanglement temperature until, eventually, the
gravitating universe can be entirely reconstructed from the non-gravitating
one.
|
[
{
"created": "Wed, 12 Aug 2020 12:48:50 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Dec 2020 20:04:32 GMT",
"version": "v2"
}
] |
2021-03-17
|
[
[
"Balasubramanian",
"Vijay",
""
],
[
"Kar",
"Arjun",
""
],
[
"Ugajin",
"Tomonori",
""
]
] |
We use the replica method to compute the entanglement entropy of a universe without gravity entangled in a thermofield-double-like state with a disjoint gravitating universe. Including wormholes between replicas of the latter gives an entropy functional which includes an "island" on the gravitating universe. We solve the back-reaction equations when the cosmological constant is negative to show that this island coincides with a causal shadow region that is created by the entanglement in the gravitating geometry. At high entanglement temperatures, the island contribution to the entropy functional leads to a bound on entanglement entropy, analogous to the Page behavior of evaporating black holes. We demonstrate that the entanglement wedge of the non-gravitating universe grows with the entanglement temperature until, eventually, the gravitating universe can be entirely reconstructed from the non-gravitating one.
|
1710.02539
|
Javi Serra
|
Brando Bellazzini, Francesco Riva, Javi Serra, Francesco Sgarlata
|
Beyond Amplitudes' Positivity and the Fate of Massive Gravity
|
10 pages + 3 appendices and references, 4 figures; v2: bounds
optimized, improved discussion, extended outlook, conclusion unchanged. Extra
appendix and references added
|
Phys. Rev. Lett. 120, 161101 (2018)
|
10.1103/PhysRevLett.120.161101
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We constrain effective field theories by going beyond the familiar positivity
bounds that follow from unitarity, analyticity, and crossing symmetry of the
scattering amplitudes. As interesting examples, we discuss the implications of
the bounds for the Galileon and ghost-free massive gravity. The combination of
our theoretical bounds with the experimental constraints on the graviton mass
implies that the latter is either ruled out or unable to describe gravitational
phenomena, let alone to consistently implement the Vainshtein mechanism, down
to the relevant scales of fifth-force experiments, where general relativity has
been successfully tested. We also show that the Galileon theory must contain
symmetry-breaking terms that are at most one-loop suppressed compared to the
symmetry-preserving ones. We comment as well on other interesting applications
of our bounds.
|
[
{
"created": "Fri, 6 Oct 2017 18:11:42 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Nov 2017 16:58:50 GMT",
"version": "v2"
}
] |
2018-04-25
|
[
[
"Bellazzini",
"Brando",
""
],
[
"Riva",
"Francesco",
""
],
[
"Serra",
"Javi",
""
],
[
"Sgarlata",
"Francesco",
""
]
] |
We constrain effective field theories by going beyond the familiar positivity bounds that follow from unitarity, analyticity, and crossing symmetry of the scattering amplitudes. As interesting examples, we discuss the implications of the bounds for the Galileon and ghost-free massive gravity. The combination of our theoretical bounds with the experimental constraints on the graviton mass implies that the latter is either ruled out or unable to describe gravitational phenomena, let alone to consistently implement the Vainshtein mechanism, down to the relevant scales of fifth-force experiments, where general relativity has been successfully tested. We also show that the Galileon theory must contain symmetry-breaking terms that are at most one-loop suppressed compared to the symmetry-preserving ones. We comment as well on other interesting applications of our bounds.
|
2202.06591
|
E. Harikumar
|
E. Harikumar, Suman Kumar Panja and Vishnu Rajagopal
|
Maximal acceleration in a Lorentz invariant non-commutative space-time
|
14 pages
|
Eur. Phys. J. Plus (2022) 137:966
|
10.1140/epjp/s13360-022-03195-4
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we derive the non-commutative corrections to the maximal
acceleration in the Doplicher-Fredenhagen-Roberts (DFR) space-time and show
that the effect of the non-commutativity is to decrease the magnitude of the
value of the maximal acceleration in the commutative limit. We also obtain an
upper bound on the acceleration along the non-commutative coordinates using the
positivity condition on the magnitude of the maximal acceleration in the
commutative space-time. From the Newtonian limit of the geodesic equation and
Einstein's equation for linearised gravity, we derive the explicit form of
Newton's potential in DFR space-time. By expressing the non-commutative
correction term of the maximal acceleration in terms of Newton's potential and
applying the positivity condition, we obtain a lower bound on the radial
distance between two particles under the gravitational attraction in DFR
space-time. We also derive modified uncertainty relation and commutation
relation between coordinates and its conjugate, due to the existence of maximal
acceleration.
|
[
{
"created": "Mon, 14 Feb 2022 10:24:15 GMT",
"version": "v1"
}
] |
2022-09-07
|
[
[
"Harikumar",
"E.",
""
],
[
"Panja",
"Suman Kumar",
""
],
[
"Rajagopal",
"Vishnu",
""
]
] |
In this paper, we derive the non-commutative corrections to the maximal acceleration in the Doplicher-Fredenhagen-Roberts (DFR) space-time and show that the effect of the non-commutativity is to decrease the magnitude of the value of the maximal acceleration in the commutative limit. We also obtain an upper bound on the acceleration along the non-commutative coordinates using the positivity condition on the magnitude of the maximal acceleration in the commutative space-time. From the Newtonian limit of the geodesic equation and Einstein's equation for linearised gravity, we derive the explicit form of Newton's potential in DFR space-time. By expressing the non-commutative correction term of the maximal acceleration in terms of Newton's potential and applying the positivity condition, we obtain a lower bound on the radial distance between two particles under the gravitational attraction in DFR space-time. We also derive modified uncertainty relation and commutation relation between coordinates and its conjugate, due to the existence of maximal acceleration.
|
1612.05933
|
Kei-Ichi Kondo
|
Kei-Ichi Kondo
|
Gauge-independent Higgs mechanism and the implications for quark
confinement
|
8 pages, 2 figures, Talk given at "XIIth Quark Confinement and the
Hadron Spectrum", 28 August-4 September 2016, Thessaloniki, Greece
| null |
10.1051/epjconf/201713703009
|
CHIBA-EP-220
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a gauge-invariant description for the Higgs mechanism by which a
gauge boson acquires the mass. We do not need to assume spontaneous breakdown
of gauge symmetry signaled by a non-vanishing vacuum expectation value of the
scalar field. In fact, we give a manifestly gauge-invariant description of the
Higgs mechanism in the operator level, which does not rely on spontaneous
symmetry breaking. For concreteness, we discuss the gauge-Higgs models with
$U(1)$ and $SU(2)$ gauge groups explicitly. This enables us to discuss the
confinement-Higgs complementarity from a new perspective.
|
[
{
"created": "Sun, 18 Dec 2016 15:34:42 GMT",
"version": "v1"
}
] |
2017-04-05
|
[
[
"Kondo",
"Kei-Ichi",
""
]
] |
We propose a gauge-invariant description for the Higgs mechanism by which a gauge boson acquires the mass. We do not need to assume spontaneous breakdown of gauge symmetry signaled by a non-vanishing vacuum expectation value of the scalar field. In fact, we give a manifestly gauge-invariant description of the Higgs mechanism in the operator level, which does not rely on spontaneous symmetry breaking. For concreteness, we discuss the gauge-Higgs models with $U(1)$ and $SU(2)$ gauge groups explicitly. This enables us to discuss the confinement-Higgs complementarity from a new perspective.
|
1802.08050
|
Ulysses Camara da Silva
|
U. Camara da Silva
|
Renormalization Group Flow of the Aharonov-Bohm Scattering Amplitude
|
23 pages; 6 figures
| null | null | null |
hep-th math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Aharonov-Bohm elastic scattering with incident particles described by
plane waves is revisited by using the phase-shifts method. The formal
equivalence between the cylindrical Schr\"odinger equation and the
one-dimensional Calogero problem allows us to show that up to two scattering
phase-shifts modes in the cylindrical waves expansion must be renormalized. The
renormalization procedure introduces new length scales giving rise to
spontaneous breaking of the conformal symmetry. The new renormalized
cross-section has an amazing property of being non-vanishing even for a
quantized magnetic flux, coinciding with the case of Dirac delta function
potential. The knowledge of the exact beta function permits us to describe the
renormalization group flows within the two-parametric family of renormalized
Aharonov-Bohm scattering amplitudes. Our analysis demonstrates that for
quantized magnetic fluxes a BKT-like phase transition at the coupling space
occurs.
|
[
{
"created": "Thu, 22 Feb 2018 14:15:06 GMT",
"version": "v1"
}
] |
2018-02-23
|
[
[
"da Silva",
"U. Camara",
""
]
] |
The Aharonov-Bohm elastic scattering with incident particles described by plane waves is revisited by using the phase-shifts method. The formal equivalence between the cylindrical Schr\"odinger equation and the one-dimensional Calogero problem allows us to show that up to two scattering phase-shifts modes in the cylindrical waves expansion must be renormalized. The renormalization procedure introduces new length scales giving rise to spontaneous breaking of the conformal symmetry. The new renormalized cross-section has an amazing property of being non-vanishing even for a quantized magnetic flux, coinciding with the case of Dirac delta function potential. The knowledge of the exact beta function permits us to describe the renormalization group flows within the two-parametric family of renormalized Aharonov-Bohm scattering amplitudes. Our analysis demonstrates that for quantized magnetic fluxes a BKT-like phase transition at the coupling space occurs.
|
1102.2753
|
Natalia Alkofer
|
Natalia Alkofer and Reinhard Alkofer
|
Features of ghost-gluon and ghost-quark bound states related to BRST
quartets
|
7 pages, 2 figures; version accepted for publication in Physics
Letters B
|
Phys.Lett.B702:158-163,2011
|
10.1016/j.physletb.2011.06.073
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The BRST quartet mechanism in infrared Landau gauge QCD is investigated.
Based on the observed positivity violation for transverse gluons $A_{\mathrm
{tr}}$ the field content of the non-perturbative BRST quartet generated by
$A_{\mathrm {tr}}$ is derived. To identify the gluon's BRST-daughter state as
well as the Faddeev-Popov--charge conjugated second parent state, a truncated
Bethe-Salpeter equation for the gluon-ghost bound state in the adjoint colour
representation is derived and studied. This equation is found to be compatible
with the so-called scaling solutions of functional approaches. Repeating the
same construction for quarks instead of $A_{\mathrm {tr}}$ leads in a similar
way to a truncated Bethe-Salpeter equation for the quark-ghost bound state in
the fundamental representation. Within the scaling solution the infrared
divergence of the quark-gluon vertex is exactly the right one to make this
Bethe-Salpeter equation infrared consistent.
|
[
{
"created": "Mon, 14 Feb 2011 12:53:21 GMT",
"version": "v1"
},
{
"created": "Sun, 26 Jun 2011 10:39:35 GMT",
"version": "v2"
}
] |
2011-09-14
|
[
[
"Alkofer",
"Natalia",
""
],
[
"Alkofer",
"Reinhard",
""
]
] |
The BRST quartet mechanism in infrared Landau gauge QCD is investigated. Based on the observed positivity violation for transverse gluons $A_{\mathrm {tr}}$ the field content of the non-perturbative BRST quartet generated by $A_{\mathrm {tr}}$ is derived. To identify the gluon's BRST-daughter state as well as the Faddeev-Popov--charge conjugated second parent state, a truncated Bethe-Salpeter equation for the gluon-ghost bound state in the adjoint colour representation is derived and studied. This equation is found to be compatible with the so-called scaling solutions of functional approaches. Repeating the same construction for quarks instead of $A_{\mathrm {tr}}$ leads in a similar way to a truncated Bethe-Salpeter equation for the quark-ghost bound state in the fundamental representation. Within the scaling solution the infrared divergence of the quark-gluon vertex is exactly the right one to make this Bethe-Salpeter equation infrared consistent.
|
1006.2559
|
Dimitri Skliros P
|
Mark Hindmarsh and Dimitri Skliros
|
Covariant Closed String Coherent States
|
4 pages
|
Phys.Rev.Lett.106:081602,2011
|
10.1103/PhysRevLett.106.081602
| null |
hep-th hep-ph math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We give the first construction of covariant coherent closed string states,
which may be identified with fundamental cosmic strings. We outline the
requirements for a string state to describe a cosmic string, and using DDF
operators provide an explicit and simple map that relates three different
descriptions: classical strings, lightcone gauge quantum states and covariant
vertex operators. The naive construction leads to covariant vertex operators
whose existence requires a lightlike compactification of spacetime. When the
lightlike compactified states in the underlying Hilbert space are projected out
the resulting coherent states have a classical interpretation and are in
one-to-one correspondence with arbitrary classical closed string loops.
|
[
{
"created": "Sun, 13 Jun 2010 20:11:18 GMT",
"version": "v1"
}
] |
2011-03-02
|
[
[
"Hindmarsh",
"Mark",
""
],
[
"Skliros",
"Dimitri",
""
]
] |
We give the first construction of covariant coherent closed string states, which may be identified with fundamental cosmic strings. We outline the requirements for a string state to describe a cosmic string, and using DDF operators provide an explicit and simple map that relates three different descriptions: classical strings, lightcone gauge quantum states and covariant vertex operators. The naive construction leads to covariant vertex operators whose existence requires a lightlike compactification of spacetime. When the lightlike compactified states in the underlying Hilbert space are projected out the resulting coherent states have a classical interpretation and are in one-to-one correspondence with arbitrary classical closed string loops.
|
1212.4505
|
Martijn Wijnholt
|
A. Clingher, R. Donagi and M. Wijnholt
|
The Sen Limit
|
41 pp, 1 figure, LaTeX
| null | null | null |
hep-th math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
F-theory compactifications on elliptic Calabi-Yau manifolds may be related to
IIb compactifications by taking a certain limit in complex structure moduli
space, introduced by A. Sen. The limit has been characterized on the basis of
SL(2,Z) monodromies of the elliptic fibration. Instead, we introduce a stable
version of the Sen limit. In this picture the elliptic Calabi-Yau splits into
two pieces, a P^1-bundle and a conic bundle, and the intersection yields the
IIb space-time. We get a precise match between F-theory and perturbative type
IIb. The correspondence is holographic, in the sense that physical quantities
seemingly spread in the bulk of the F-theory Calabi-Yau may be rewritten as
expressions on the log boundary. Smoothing the F-theory Calabi-Yau corresponds
to summing up the D(-1)-instanton corrections to the IIb theory.
|
[
{
"created": "Tue, 18 Dec 2012 21:02:29 GMT",
"version": "v1"
}
] |
2012-12-20
|
[
[
"Clingher",
"A.",
""
],
[
"Donagi",
"R.",
""
],
[
"Wijnholt",
"M.",
""
]
] |
F-theory compactifications on elliptic Calabi-Yau manifolds may be related to IIb compactifications by taking a certain limit in complex structure moduli space, introduced by A. Sen. The limit has been characterized on the basis of SL(2,Z) monodromies of the elliptic fibration. Instead, we introduce a stable version of the Sen limit. In this picture the elliptic Calabi-Yau splits into two pieces, a P^1-bundle and a conic bundle, and the intersection yields the IIb space-time. We get a precise match between F-theory and perturbative type IIb. The correspondence is holographic, in the sense that physical quantities seemingly spread in the bulk of the F-theory Calabi-Yau may be rewritten as expressions on the log boundary. Smoothing the F-theory Calabi-Yau corresponds to summing up the D(-1)-instanton corrections to the IIb theory.
|
1304.2767
|
Arthur Hebecker
|
Arthur Hebecker, Alexander K. Knochel and Timo Weigand
|
The Higgs mass from a String-Theoretic Perspective
|
v4: references added
|
Nucl.Phys. B874 (2013) 1-35
|
10.1016/j.nuclphysb.2013.05.004
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Higgs quartic coupling has now been indirectly measured at the
electroweak scale. Assuming no new low-scale physics, its running is known and,
together with gauge and Yukawa couplings, it is a crucial new piece of
information constraining UV completions of the Standard Model. In particular,
supersymmetry broken at an intermediate or high energy scale with tan(beta)=1
(i.e. lambda=0) is consistent with present data and has an independent
theoretical appeal. We analyze the possible string-theoretic motivations for
tan(beta)=1 (including both the shift-symmetry and the more economical variant
of a Z_2 symmetry) in a Higgs sector realized on either 6- or 7-branes. We
identify specific geometries where lambda ~ 0 may arise naturally and specify
the geometrical problems which need to be solved to determine its precise value
in the generic case. We then analyze the radiative corrections to lambda.
Finally we show that, in contrast to naive expectations, lambda<0 at the SUSY
breaking scale is also possible. Specifically, string theory may produce an
MSSM plus chiral singlet at a very high scale, which immediately breaks to a
non-SUSY Standard Model with lambda<0. This classically unstable theory then
becomes metastable through running towards the IR.
|
[
{
"created": "Tue, 9 Apr 2013 20:00:01 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Apr 2013 11:00:00 GMT",
"version": "v2"
},
{
"created": "Thu, 20 Jun 2013 08:39:28 GMT",
"version": "v3"
},
{
"created": "Tue, 8 Oct 2013 14:47:41 GMT",
"version": "v4"
}
] |
2013-10-09
|
[
[
"Hebecker",
"Arthur",
""
],
[
"Knochel",
"Alexander K.",
""
],
[
"Weigand",
"Timo",
""
]
] |
The Higgs quartic coupling has now been indirectly measured at the electroweak scale. Assuming no new low-scale physics, its running is known and, together with gauge and Yukawa couplings, it is a crucial new piece of information constraining UV completions of the Standard Model. In particular, supersymmetry broken at an intermediate or high energy scale with tan(beta)=1 (i.e. lambda=0) is consistent with present data and has an independent theoretical appeal. We analyze the possible string-theoretic motivations for tan(beta)=1 (including both the shift-symmetry and the more economical variant of a Z_2 symmetry) in a Higgs sector realized on either 6- or 7-branes. We identify specific geometries where lambda ~ 0 may arise naturally and specify the geometrical problems which need to be solved to determine its precise value in the generic case. We then analyze the radiative corrections to lambda. Finally we show that, in contrast to naive expectations, lambda<0 at the SUSY breaking scale is also possible. Specifically, string theory may produce an MSSM plus chiral singlet at a very high scale, which immediately breaks to a non-SUSY Standard Model with lambda<0. This classically unstable theory then becomes metastable through running towards the IR.
|
hep-th/9803114
|
Jorgen Rasmussen
|
Jorgen Rasmussen
|
Two-point Functions in Affine SL(N) Current Algebra
|
9 pages, LaTeX
|
Mod.Phys.Lett. A13 (1998) 1213-1222
|
10.1142/S0217732398001285
| null |
hep-th
| null |
In this letter the explicit form of general two-point functions in affine
SL(N) current algebra is provided for all representations, integrable or
non-integrable. The weight of the conjugate field to a primary field of
arbitrary weight is immediately read off.
|
[
{
"created": "Fri, 13 Mar 1998 13:38:32 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Rasmussen",
"Jorgen",
""
]
] |
In this letter the explicit form of general two-point functions in affine SL(N) current algebra is provided for all representations, integrable or non-integrable. The weight of the conjugate field to a primary field of arbitrary weight is immediately read off.
|
hep-th/9703035
|
Jack Gegenberg
|
S.P. Braham and J. Gegenberg
|
Yang-Mills Flow and Uniformization Theorems
|
21 pages, Latex, 5 Postscript figures, uses epsf.sty
|
J.Math.Phys. 39 (1998) 2242-2253
|
10.1063/1.532285
|
UNB Technical Report 97-01
|
hep-th dg-ga gr-qc math.DG
| null |
We consider a parabolic-like systems of differential equations involving
geometrical quantities to examine uniformization theorems for two- and
three-dimensional closed orientable manifolds. We find that in the
two-dimensional case there is a simple gauge theoretic flow for a connection
built from a Riemannian structure, and that the convergence of the flow to the
fixed points is consistent with the Poincare Uniformization Theorem. We
construct a similar system for the three-dimensional case. Here the connection
is built from a Riemannian geometry, an SO(3) connection and two other 1-form
fields which take their values in the SO(3) algebra. The flat connections
include the eight homogeneous geometries relevant to the three-dimensional
uniformization theorem conjectured by W. Thurston. The fixed points of the flow
include, besides the flat connections (and their local deformations), non-flat
solutions of the Yang-Mills equations. These latter "instanton" configurations
may be relevant to the fact that generic 3-manifolds do not admit one of the
homogeneous geometries, but may be decomposed into "simple 3-manifolds" which
do.
|
[
{
"created": "Wed, 5 Mar 1997 15:48:43 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Braham",
"S. P.",
""
],
[
"Gegenberg",
"J.",
""
]
] |
We consider a parabolic-like systems of differential equations involving geometrical quantities to examine uniformization theorems for two- and three-dimensional closed orientable manifolds. We find that in the two-dimensional case there is a simple gauge theoretic flow for a connection built from a Riemannian structure, and that the convergence of the flow to the fixed points is consistent with the Poincare Uniformization Theorem. We construct a similar system for the three-dimensional case. Here the connection is built from a Riemannian geometry, an SO(3) connection and two other 1-form fields which take their values in the SO(3) algebra. The flat connections include the eight homogeneous geometries relevant to the three-dimensional uniformization theorem conjectured by W. Thurston. The fixed points of the flow include, besides the flat connections (and their local deformations), non-flat solutions of the Yang-Mills equations. These latter "instanton" configurations may be relevant to the fact that generic 3-manifolds do not admit one of the homogeneous geometries, but may be decomposed into "simple 3-manifolds" which do.
|
hep-th/0512132
|
Stefano Bolognesi
|
Stefano Bolognesi and Sven Bjarke Gudnason
|
Multi-vortices are Wall Vortices: A Numerical Proof
|
22 pages, 18 figures
|
Nucl.Phys.B741:1-16,2006
|
10.1016/j.nuclphysb.2006.01.038
| null |
hep-th cond-mat.supr-con hep-ph
| null |
We study the Abrikosov-Nielsen-Olesen multi-vortices. Using a numerical code
we are able to solve the vortex equations with winding number up to n=25,000.
We can thus check the wall vortex conjecture previously made in hep-th/0507273
and hep-th/0507286. The numerical results show a remarkable agreement with the
theoretical predictions.
|
[
{
"created": "Mon, 12 Dec 2005 21:32:02 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Bolognesi",
"Stefano",
""
],
[
"Gudnason",
"Sven Bjarke",
""
]
] |
We study the Abrikosov-Nielsen-Olesen multi-vortices. Using a numerical code we are able to solve the vortex equations with winding number up to n=25,000. We can thus check the wall vortex conjecture previously made in hep-th/0507273 and hep-th/0507286. The numerical results show a remarkable agreement with the theoretical predictions.
|
hep-th/0410007
|
Troost Jan
|
Nicolaos Toumbas and Jan Troost
|
A time-dependent brane in a cosmological background
|
20 pages, 1 figure; v2: corrected a remark
|
JHEP0411:032,2004
|
10.1088/1126-6708/2004/11/032
|
LPTENS-04/37
|
hep-th
| null |
We study a moving D-brane in a time-dependent background. There is particle
production both because of non-trivial cosmological evolution, and by closed
string emission from the brane that gradually decelerates due to a gain in
mass. The particular model under study is a D0-brane in an SL(2,R)/U(1)
cosmology -- the techniques used extend to other backgrounds.
|
[
{
"created": "Fri, 1 Oct 2004 14:27:08 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Jun 2005 16:44:26 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Toumbas",
"Nicolaos",
""
],
[
"Troost",
"Jan",
""
]
] |
We study a moving D-brane in a time-dependent background. There is particle production both because of non-trivial cosmological evolution, and by closed string emission from the brane that gradually decelerates due to a gain in mass. The particular model under study is a D0-brane in an SL(2,R)/U(1) cosmology -- the techniques used extend to other backgrounds.
|
hep-th/0103190
|
Artemio Gonzalez-Lopez
|
F. Finkel, D. Gomez-Ullate, A. Gonzalez-Lopez, M.A. Rodriguez, R.
Zhdanov
|
New spin Calogero-Sutherland models related to B_N-type Dunkl operators
|
18 pages, typeset in LaTeX 2e using revtex 4.0b5 and the amslatex
package Minor changes in content, one reference added
|
Nucl.Phys. B613 (2001) 472-496
|
10.1016/S0550-3213(01)00378-9
| null |
hep-th math-ph math.MP nlin.SI
| null |
We construct several new families of exactly and quasi-exactly solvable
BC_N-type Calogero-Sutherland models with internal degrees of freedom. Our
approach is based on the introduction of two new families of Dunkl operators of
B_N type which, together with the original B_N-type Dunkl operators, are shown
to preserve certain polynomial subspaces of finite dimension. We prove that a
wide class of quadratic combinations involving these three sets of Dunkl
operators always yields a spin Calogero-Sutherland model, which is
(quasi-)exactly solvable by construction. We show that all the spin
Calogero-Sutherland models obtainable within this framework can be expressed in
a unified way in terms of a Weierstrass P function with suitable half-periods.
This provides a natural spin counterpart of the well-known general formula for
a scalar completely integrable potential of BC_N type due to Olshanetsky and
Perelomov. As an illustration of our method, we exactly compute several energy
levels and their corresponding wavefunctions of an elliptic quasi-exactly
solvable potential for two and three particles of spin 1/2.
|
[
{
"created": "Thu, 22 Mar 2001 15:37:50 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Apr 2001 11:00:26 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Finkel",
"F.",
""
],
[
"Gomez-Ullate",
"D.",
""
],
[
"Gonzalez-Lopez",
"A.",
""
],
[
"Rodriguez",
"M. A.",
""
],
[
"Zhdanov",
"R.",
""
]
] |
We construct several new families of exactly and quasi-exactly solvable BC_N-type Calogero-Sutherland models with internal degrees of freedom. Our approach is based on the introduction of two new families of Dunkl operators of B_N type which, together with the original B_N-type Dunkl operators, are shown to preserve certain polynomial subspaces of finite dimension. We prove that a wide class of quadratic combinations involving these three sets of Dunkl operators always yields a spin Calogero-Sutherland model, which is (quasi-)exactly solvable by construction. We show that all the spin Calogero-Sutherland models obtainable within this framework can be expressed in a unified way in terms of a Weierstrass P function with suitable half-periods. This provides a natural spin counterpart of the well-known general formula for a scalar completely integrable potential of BC_N type due to Olshanetsky and Perelomov. As an illustration of our method, we exactly compute several energy levels and their corresponding wavefunctions of an elliptic quasi-exactly solvable potential for two and three particles of spin 1/2.
|
2208.03045
|
A. Emir Gumrukcuoglu
|
A. Emir Gumrukcuoglu and Kazuya Koyama
|
Gravitational wave interactions in $\Lambda_3$ models of dark energy
|
16 pages, 3 figures; v2 matches version accepted for publication in
JCAP
| null |
10.1088/1475-7516/2022/10/025
| null |
hep-th astro-ph.CO gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We argue that cubic order interactions between two scalar gravitons and one
tensor graviton are ubiquitous in models of dark energy where the strong
coupling scale is $\Lambda_3$. These interactions can potentially provide
efficient decay channels for gravitational waves. They can also lead to
gradient instabilities of the scalar perturbations in the presence of large
amplitude gravitational waves, e.g. those detected by LIGO/Virgo. In contrast
with models in scalar-tensor theories, there is an infinite number of higher
order interactions in generic $\Lambda_3$ models, which make it difficult to
predict the fate of these instabilities inferred from cubic order interactions.
|
[
{
"created": "Fri, 5 Aug 2022 08:54:04 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Sep 2022 12:55:32 GMT",
"version": "v2"
}
] |
2022-10-26
|
[
[
"Gumrukcuoglu",
"A. Emir",
""
],
[
"Koyama",
"Kazuya",
""
]
] |
We argue that cubic order interactions between two scalar gravitons and one tensor graviton are ubiquitous in models of dark energy where the strong coupling scale is $\Lambda_3$. These interactions can potentially provide efficient decay channels for gravitational waves. They can also lead to gradient instabilities of the scalar perturbations in the presence of large amplitude gravitational waves, e.g. those detected by LIGO/Virgo. In contrast with models in scalar-tensor theories, there is an infinite number of higher order interactions in generic $\Lambda_3$ models, which make it difficult to predict the fate of these instabilities inferred from cubic order interactions.
|
hep-th/9811206
|
Tomasz Radozycki
|
Tomasz Radozycki
|
Schwinger Model Green functions with topological effects
|
16 pages, in REVTEX
|
Phys.Rev. D60 (1999) 105027
|
10.1103/PhysRevD.60.105027
| null |
hep-th
| null |
The fermion propagator and the 4-fermion Green function in the massless QED2
are explicitly found with topological effects taken into account. The
corrections due to instanton sectors k=+1,-1, contributing to the propagator,
are shown to be just the homogenous terms admitted by the Dyson-Schwinger
equation for S. In the case of the 4-fermion function also sectors k=+2,-2 are
included into consideration. The quark condensates are then calculated and are
shown to satisfy cluster property. The theta-dependence exhibited by the Green
functions corresponds to and may be removed by performing certain chiral gauge
transformation.
|
[
{
"created": "Tue, 24 Nov 1998 11:49:04 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Radozycki",
"Tomasz",
""
]
] |
The fermion propagator and the 4-fermion Green function in the massless QED2 are explicitly found with topological effects taken into account. The corrections due to instanton sectors k=+1,-1, contributing to the propagator, are shown to be just the homogenous terms admitted by the Dyson-Schwinger equation for S. In the case of the 4-fermion function also sectors k=+2,-2 are included into consideration. The quark condensates are then calculated and are shown to satisfy cluster property. The theta-dependence exhibited by the Green functions corresponds to and may be removed by performing certain chiral gauge transformation.
|
hep-th/0203013
|
Patrick Peter
|
Patrick Peter (IAP) and Nelson Pinto-Neto (CBPF)
|
Primordial perturbations in a non singular bouncing universe model
|
11 pages, RevTeX 4, 8 figures, submitted to Phys. Rev. D
|
Phys.Rev. D66 (2002) 063509
|
10.1103/PhysRevD.66.063509
| null |
hep-th astro-ph gr-qc hep-ph
| null |
We construct a simple non singular cosmological model in which the currently
observed expansion phase was preceded by a contraction. This is achieved, in
the framework of pure general relativity, by means of a radiation fluid and a
free scalar field having negative energy. We calculate the power spectrum of
the scalar perturbations that are produced in such a bouncing model and find
that, under the assumption of initial vacuum state for the quantum field
associated with the hydrodynamical perturbation, this leads to a spectral index
n=-1. The matching conditions applying to this bouncing model are derived and
shown to be different from those in the case of a sharp transition. We find
that if our bounce transition can be smoothly connected to a slowly contracting
phase, then the resulting power spectrum will be scale invariant.
|
[
{
"created": "Fri, 1 Mar 2002 18:04:07 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Peter",
"Patrick",
"",
"IAP"
],
[
"Pinto-Neto",
"Nelson",
"",
"CBPF"
]
] |
We construct a simple non singular cosmological model in which the currently observed expansion phase was preceded by a contraction. This is achieved, in the framework of pure general relativity, by means of a radiation fluid and a free scalar field having negative energy. We calculate the power spectrum of the scalar perturbations that are produced in such a bouncing model and find that, under the assumption of initial vacuum state for the quantum field associated with the hydrodynamical perturbation, this leads to a spectral index n=-1. The matching conditions applying to this bouncing model are derived and shown to be different from those in the case of a sharp transition. We find that if our bounce transition can be smoothly connected to a slowly contracting phase, then the resulting power spectrum will be scale invariant.
|
hep-th/0703070
|
Stephon Alexander
|
Stephon Alexander, Peter M\'esz\'aros
|
Reheating, Dark Matter and Baryon Asymmetry: a Triple Coincidence in
Inflationary Models
|
5 pages, 1 figure
| null | null | null |
hep-th astro-ph
| null |
A scenario in which primeval black holes (PBHs) form at the end of an
extended inflationary period is capable of producing, via Hawking radiation,
the observed entropy, as well as the observed dark matter density in the form
of Planck mass relics. The observed net baryon asymmetry is produced by
sphaleron processes in the domain wall surrounding the PBHs as they evaporate
around the electroweak transition epoch. The conditions required to satisfy
these three observables determines the PBH formation epoch, which can be
associated with the end of inflation, at $t\sim 10^{-32}\s$.
|
[
{
"created": "Thu, 8 Mar 2007 02:06:49 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Mar 2007 06:01:44 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Alexander",
"Stephon",
""
],
[
"Mészáros",
"Peter",
""
]
] |
A scenario in which primeval black holes (PBHs) form at the end of an extended inflationary period is capable of producing, via Hawking radiation, the observed entropy, as well as the observed dark matter density in the form of Planck mass relics. The observed net baryon asymmetry is produced by sphaleron processes in the domain wall surrounding the PBHs as they evaporate around the electroweak transition epoch. The conditions required to satisfy these three observables determines the PBH formation epoch, which can be associated with the end of inflation, at $t\sim 10^{-32}\s$.
|
1104.4714
|
Gordon Semenoff
|
Gordon W. Semenoff and Fei Zhou
|
Magnetic Catalysis and Quantum Hall Ferromagnetism in Weakly Coupled
Graphene
|
35 pages
|
JHEP 1107:037,2011
|
10.1007/JHEP07(2011)037
| null |
hep-th cond-mat.mes-hall
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the realization in a model of graphene of the phenomenon whereby the
tendency of gauge-field mediated interactions to break chiral symmetry
spontaneously is greatly enhanced in an external magnetic field. We prove that,
in the weak coupling limit, and where the electron-electron interaction
satisfies certain mild conditions, the ground state of charge neutral graphene
in an external magnetic field is a quantum Hall ferromagnet which spontaneously
breaks the emergent U(4) symmetry to U(2)XU(2).
We argue that, due to a residual CP symmetry, the quantum Hall ferromagnet
order parameter is given exactly by the leading order in perturbation theory.
On the other hand, the chiral condensate which is the order parameter for
chiral symmetry breaking generically obtains contributions at all orders. We
compute the leading correction to the chiral condensate. We argue that the
ensuing fermion spectrum resembles that of massive fermions with a vanishing
U(4)-valued chemical potential. We discuss the realization of parity and charge
conjugation symmetries and argue that, in the context of our model, the charge
neutral quantum Hall state in graphene is a bulk insulator, with vanishing
longitudinal conductivity due to a charge gap and Hall conductivity vanishing
due to a residual discrete particle-hole symmetry.
|
[
{
"created": "Mon, 25 Apr 2011 12:48:21 GMT",
"version": "v1"
}
] |
2011-09-09
|
[
[
"Semenoff",
"Gordon W.",
""
],
[
"Zhou",
"Fei",
""
]
] |
We study the realization in a model of graphene of the phenomenon whereby the tendency of gauge-field mediated interactions to break chiral symmetry spontaneously is greatly enhanced in an external magnetic field. We prove that, in the weak coupling limit, and where the electron-electron interaction satisfies certain mild conditions, the ground state of charge neutral graphene in an external magnetic field is a quantum Hall ferromagnet which spontaneously breaks the emergent U(4) symmetry to U(2)XU(2). We argue that, due to a residual CP symmetry, the quantum Hall ferromagnet order parameter is given exactly by the leading order in perturbation theory. On the other hand, the chiral condensate which is the order parameter for chiral symmetry breaking generically obtains contributions at all orders. We compute the leading correction to the chiral condensate. We argue that the ensuing fermion spectrum resembles that of massive fermions with a vanishing U(4)-valued chemical potential. We discuss the realization of parity and charge conjugation symmetries and argue that, in the context of our model, the charge neutral quantum Hall state in graphene is a bulk insulator, with vanishing longitudinal conductivity due to a charge gap and Hall conductivity vanishing due to a residual discrete particle-hole symmetry.
|
2202.03227
|
Ilija Ivani\v{s}evi\'c
|
Ljubica Davidovi\'c, Ilija Ivani\v{s}evi\'c and Branislav Sazdovi\'c
|
Twisted C-brackets
| null | null |
10.1002/prop.202200187
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the double field formulation of the closed bosonic string theory,
and calculate the Poisson bracket algebra of the symmetry generators governing
both general coordinate and local gauge transformations. Parameters of both of
these symmetries depend on a double coordinate, defined as a direct sum of the
initial and T-dual coordinate. When no antisymmetric field is present, the
$C$-bracket appears as the Lie bracket generalization in a double theory. With
the introduction of the Kalb-Ramond field, the $B$-twisted $C$-bracket appears,
while with the introduction of the non-commutativity parameter, the
$\theta$-twisted $C$-bracket appears. We present the derivation of these
brackets and comment on their relations to analogous twisted Courant brackets
and T-duality.
|
[
{
"created": "Mon, 7 Feb 2022 14:29:30 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Nov 2022 15:06:52 GMT",
"version": "v2"
}
] |
2023-03-22
|
[
[
"Davidović",
"Ljubica",
""
],
[
"Ivanišević",
"Ilija",
""
],
[
"Sazdović",
"Branislav",
""
]
] |
We consider the double field formulation of the closed bosonic string theory, and calculate the Poisson bracket algebra of the symmetry generators governing both general coordinate and local gauge transformations. Parameters of both of these symmetries depend on a double coordinate, defined as a direct sum of the initial and T-dual coordinate. When no antisymmetric field is present, the $C$-bracket appears as the Lie bracket generalization in a double theory. With the introduction of the Kalb-Ramond field, the $B$-twisted $C$-bracket appears, while with the introduction of the non-commutativity parameter, the $\theta$-twisted $C$-bracket appears. We present the derivation of these brackets and comment on their relations to analogous twisted Courant brackets and T-duality.
|
hep-th/9502047
|
Silvio Paolo Sorella
|
V. Lemes, R. Renan, S. P. Sorella
|
$\varphif_{4}^{4}-$theory for antisymmetric tensor matter fields in
Minkowski space-time
|
12 pages
|
Phys.Lett. B352 (1995) 37-42
|
10.1016/0370-2693(95)00454-S
|
CBPF-007/95
|
hep-th
| null |
The nonabelian generalization of a recently proposed abelian axial gauge
model for tensor matter fields is obtained. In both cases the model can be
derived from a $\vf^{4}-$type theory for antisymmetric fields obeying a complex
self-dual condition.
|
[
{
"created": "Tue, 7 Feb 1995 16:27:18 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Lemes",
"V.",
""
],
[
"Renan",
"R.",
""
],
[
"Sorella",
"S. P.",
""
]
] |
The nonabelian generalization of a recently proposed abelian axial gauge model for tensor matter fields is obtained. In both cases the model can be derived from a $\vf^{4}-$type theory for antisymmetric fields obeying a complex self-dual condition.
|
2312.02351
|
Ricardo Monteiro
|
Ricardo Monteiro
|
No U(1) 'electric-magnetic' duality in Einstein gravity
|
20 pages. v2: minor changes
| null | null |
QMUL-PH-23-24
|
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We revisit the question of whether classical general relativity obeys, beyond
the linearised order, an analogue of the global U(1) electric-magnetic duality
of Maxwell theory, with the Riemann tensor playing the role analogous to the
field strength. Following contradictory claims in the literature, we present a
simple gauge-invariant argument that the duality does not hold. The duality
condition is the conservation of the helicity charge. Scattering amplitudes of
gravitons in general relativity, and of gluons in Yang-Mills theory, violate
this selection rule already at tree level. Indeed, the
maximally-helicity-violating (MHV) amplitudes are famous for their simplicity.
The duality in the linearised theories is, therefore, broken by the
interactions. In contrast, the tree-level scattering amplitudes in
duality-invariant theories of non-linear electromagnetism are known to obey
helicity conservation. While the duality is not a symmetry of the full theory
of general relativity, it does hold within a sector of the solution space,
including vacuum type D solutions, where the duality is known to rotate between
mass and NUT charge.
|
[
{
"created": "Mon, 4 Dec 2023 21:30:52 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Apr 2024 21:44:17 GMT",
"version": "v2"
}
] |
2024-05-02
|
[
[
"Monteiro",
"Ricardo",
""
]
] |
We revisit the question of whether classical general relativity obeys, beyond the linearised order, an analogue of the global U(1) electric-magnetic duality of Maxwell theory, with the Riemann tensor playing the role analogous to the field strength. Following contradictory claims in the literature, we present a simple gauge-invariant argument that the duality does not hold. The duality condition is the conservation of the helicity charge. Scattering amplitudes of gravitons in general relativity, and of gluons in Yang-Mills theory, violate this selection rule already at tree level. Indeed, the maximally-helicity-violating (MHV) amplitudes are famous for their simplicity. The duality in the linearised theories is, therefore, broken by the interactions. In contrast, the tree-level scattering amplitudes in duality-invariant theories of non-linear electromagnetism are known to obey helicity conservation. While the duality is not a symmetry of the full theory of general relativity, it does hold within a sector of the solution space, including vacuum type D solutions, where the duality is known to rotate between mass and NUT charge.
|
2002.02459
|
Julio Parra-Martinez
|
Zvi Bern, Harald Ita, Julio Parra-Martinez, Michael S. Ruf
|
Universality in the classical limit of massless gravitational scattering
|
5 pages, 1 figure
|
Phys. Rev. Lett. 125, 031601 (2020)
|
10.1103/PhysRevLett.125.031601
|
UCLA/TEP/2020/101, FR-PHENO-2020-001
|
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We demonstrate the universality of the gravitational classical deflection
angle of massless particles through O(G^3) by studying the high-energy limit of
full two-loop four-graviton scattering amplitudes in pure Einstein gravity as
well as N >= 4 supergravity. As a by-product, our first-principles calculation
provides a direct confirmation of the massless deflection angle in Einstein
gravity proposed long ago by Amati, Ciafaloni and Veneziano, and is
inconsistent with a recently proposed alternative.
|
[
{
"created": "Thu, 6 Feb 2020 19:00:01 GMT",
"version": "v1"
}
] |
2020-07-22
|
[
[
"Bern",
"Zvi",
""
],
[
"Ita",
"Harald",
""
],
[
"Parra-Martinez",
"Julio",
""
],
[
"Ruf",
"Michael S.",
""
]
] |
We demonstrate the universality of the gravitational classical deflection angle of massless particles through O(G^3) by studying the high-energy limit of full two-loop four-graviton scattering amplitudes in pure Einstein gravity as well as N >= 4 supergravity. As a by-product, our first-principles calculation provides a direct confirmation of the massless deflection angle in Einstein gravity proposed long ago by Amati, Ciafaloni and Veneziano, and is inconsistent with a recently proposed alternative.
|
1908.11278
|
Jos\'e M. Figueroa-O'Farrill
|
Jos\'e Figueroa-O'Farrill and Ross Grassie
|
Kinematical superspaces
|
50 pages, 5 figures, 14 tables (v2: final version to appear in JHEP)
| null |
10.1007/JHEP11(2019)008
|
EMPG-19-19
|
hep-th math.DG math.RA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We classify $N{=}1$ $d=4$ kinematical and aristotelian Lie superalgebras with
spatial isotropy, but not necessarily parity nor time-reversal invariance.
Employing a quaternionic formalism which makes rotational covariance manifest
and simplifies many of the calculations, we find a list of $43$ isomorphism
classes of Lie superalgebras, some with parameters, whose (nontrivial) central
extensions are also determined. We then classify their corresponding
simply-connected homogeneous $(4|4)$-dimensional superspaces, resulting in a
list of $27$ homogeneous superspaces, some with parameters, all of which are
reductive. We determine the invariants of low rank and explore how these
superspaces are related via geometric limits.
|
[
{
"created": "Thu, 29 Aug 2019 15:04:24 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Oct 2019 09:56:23 GMT",
"version": "v2"
}
] |
2020-01-08
|
[
[
"Figueroa-O'Farrill",
"José",
""
],
[
"Grassie",
"Ross",
""
]
] |
We classify $N{=}1$ $d=4$ kinematical and aristotelian Lie superalgebras with spatial isotropy, but not necessarily parity nor time-reversal invariance. Employing a quaternionic formalism which makes rotational covariance manifest and simplifies many of the calculations, we find a list of $43$ isomorphism classes of Lie superalgebras, some with parameters, whose (nontrivial) central extensions are also determined. We then classify their corresponding simply-connected homogeneous $(4|4)$-dimensional superspaces, resulting in a list of $27$ homogeneous superspaces, some with parameters, all of which are reductive. We determine the invariants of low rank and explore how these superspaces are related via geometric limits.
|
0805.4525
|
R. Rosenfelder
|
R. Rosenfelder
|
Perturbation Theory Without Diagrams: The Polaron Case
|
32 pages, 7 figures, 4 tables, Latex, v2: misprints corrected, small
changes in text following referee comments and PR style conventions, matches
published version
|
Phys.Rev.E79:016705,2009
|
10.1103/PhysRevE.79.016705
|
PSI-PR-08-06
|
hep-th cond-mat.stat-mech quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Higher-order perturbative calculations in Quantum (Field) Theory suffer from
the factorial increase of the number of individual diagrams. Here I describe an
approach which evaluates the total contribution numerically for finite
temperature from the cumulant expansion of the corresponding observable
followed by an extrapolation to zero temperature. This method (originally
proposed by Bogolyubov and Plechko) is applied to the calculation of
higher-order terms for the ground-state energy of the polaron. Using
state-of-the-art multidimensional integration routines two new coefficients are
obtained corresponding to a four- and five-loop calculation. Several analytical
and numerical procedures have been implemented which were crucial for obtaining
reliable results.
|
[
{
"created": "Thu, 29 May 2008 12:14:05 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Jan 2009 16:04:53 GMT",
"version": "v2"
}
] |
2009-07-28
|
[
[
"Rosenfelder",
"R.",
""
]
] |
Higher-order perturbative calculations in Quantum (Field) Theory suffer from the factorial increase of the number of individual diagrams. Here I describe an approach which evaluates the total contribution numerically for finite temperature from the cumulant expansion of the corresponding observable followed by an extrapolation to zero temperature. This method (originally proposed by Bogolyubov and Plechko) is applied to the calculation of higher-order terms for the ground-state energy of the polaron. Using state-of-the-art multidimensional integration routines two new coefficients are obtained corresponding to a four- and five-loop calculation. Several analytical and numerical procedures have been implemented which were crucial for obtaining reliable results.
|
1012.0352
|
Humberto Belich
|
H. Belich, L.M. Silva, J.A. Helay\"el-Neto, A.E. Santana
|
Casimir Effect at finite temperature for the Kalb-Ramond field
|
15 pages, no figures
|
Phys.Rev.D84:045007,2011
|
10.1103/PhysRevD.84.045007
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use the thermofield dynamics (TFD) formalism to obtain the energy-momentum
tensor for the Kalb-Ramond (KR) field in a topology $% S^{1}\times S^{1}\times
R^{2}$. The compactification is carried out by a generalized TFD-Bogoliubov
transformation that is used to define a renormalized energy-momentum tensor.
The expressions for the Casimir energy and pressure at finite temperature are
then derived. A comparative analysis with the electromagnetic case is
developed, and the results may be important for applications, as in cuprate
superconductivity, for instance.
|
[
{
"created": "Wed, 1 Dec 2010 23:43:40 GMT",
"version": "v1"
}
] |
2016-08-14
|
[
[
"Belich",
"H.",
""
],
[
"Silva",
"L. M.",
""
],
[
"Helayël-Neto",
"J. A.",
""
],
[
"Santana",
"A. E.",
""
]
] |
We use the thermofield dynamics (TFD) formalism to obtain the energy-momentum tensor for the Kalb-Ramond (KR) field in a topology $% S^{1}\times S^{1}\times R^{2}$. The compactification is carried out by a generalized TFD-Bogoliubov transformation that is used to define a renormalized energy-momentum tensor. The expressions for the Casimir energy and pressure at finite temperature are then derived. A comparative analysis with the electromagnetic case is developed, and the results may be important for applications, as in cuprate superconductivity, for instance.
|
hep-th/0110029
|
Saharian
|
Aram A. Saharian (Yerevan State University, Yerevan, Armenia)
|
Polarization of the Fulling-Rindler vacuum by uniformly accelerated
mirror
|
20 pages, 5 figures, revtex
|
Class.Quant.Grav. 19 (2002) 5039-5062
|
10.1088/0264-9381/19/20/302
| null |
hep-th gr-qc quant-ph
| null |
Positive frequency Wightman function and vacuum expectation values of the
energy-momentum tensor are computed for a massive scalar field with general
curvature coupling parameter and satisfying Robin boundary condition on a
uniformly accelerated infinite plate. The both regions of the right Rindler
wedge, (i) on the right (RR region) and (ii) on the left (RL region) of the
plate are investigated. For the case (ii) the electromagnetic field is
considered as well. The mode summation method is used with combination of a
variant of the generalized Abel-Plana formula. This allows to present the
expectation values in the form of a sum of the purely Rindler and boundary
parts. Near the plate surface the vacuum energy-momentum tensor is dominated by
the boundary term. At large distances from the plate and near the Rindler
horizon the main contribution comes from the purely Rindler part. In the RL
region the vacuum energy density of the electromagnetic field is negative near
the horizon and is positive near the plate.
|
[
{
"created": "Wed, 3 Oct 2001 05:14:48 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Saharian",
"Aram A.",
"",
"Yerevan State University, Yerevan, Armenia"
]
] |
Positive frequency Wightman function and vacuum expectation values of the energy-momentum tensor are computed for a massive scalar field with general curvature coupling parameter and satisfying Robin boundary condition on a uniformly accelerated infinite plate. The both regions of the right Rindler wedge, (i) on the right (RR region) and (ii) on the left (RL region) of the plate are investigated. For the case (ii) the electromagnetic field is considered as well. The mode summation method is used with combination of a variant of the generalized Abel-Plana formula. This allows to present the expectation values in the form of a sum of the purely Rindler and boundary parts. Near the plate surface the vacuum energy-momentum tensor is dominated by the boundary term. At large distances from the plate and near the Rindler horizon the main contribution comes from the purely Rindler part. In the RL region the vacuum energy density of the electromagnetic field is negative near the horizon and is positive near the plate.
|
0707.2303
|
Timothy J. Hollowood
|
Timothy J. Hollowood and Graham M. Shore
|
The Refractive Index of Curved Spacetime: the Fate of Causality in QED
|
43 pages, 19 figures, JHEP3, conclusions respecting microcausality
modified
|
Nucl.Phys.B795:138-171,2008
|
10.1016/j.nuclphysb.2007.11.034
| null |
hep-th gr-qc
| null |
It has been known for a long time that vacuum polarization in QED leads to a
superluminal low-frequency phase velocity for light propagating in curved
spacetime. Assuming the validity of the Kramers-Kronig dispersion relation,
this would imply a superluminal wavefront velocity and the violation of
causality. Here, we calculate for the first time the full frequency dependence
of the refractive index using world-line sigma model techniques together with
the Penrose plane wave limit of spacetime in the neighbourhood of a null
geodesic. We find that the high-frequency limit of the phase velocity (i.e. the
wavefront velocity) is always equal to c and causality is assured. However, the
Kramers-Kronig dispersion relation is violated due to a non-analyticity of the
refractive index in the upper-half complex plane, whose origin may be traced to
the generic focusing property of null geodesic congruences and the existence of
conjugate points. This puts into question the issue of micro-causality, i.e.
the vanishing of commutators of field operators at spacelike separated points,
in local quantum field theory in curved spacetime.
|
[
{
"created": "Mon, 16 Jul 2007 11:31:48 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Oct 2007 15:59:11 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Hollowood",
"Timothy J.",
""
],
[
"Shore",
"Graham M.",
""
]
] |
It has been known for a long time that vacuum polarization in QED leads to a superluminal low-frequency phase velocity for light propagating in curved spacetime. Assuming the validity of the Kramers-Kronig dispersion relation, this would imply a superluminal wavefront velocity and the violation of causality. Here, we calculate for the first time the full frequency dependence of the refractive index using world-line sigma model techniques together with the Penrose plane wave limit of spacetime in the neighbourhood of a null geodesic. We find that the high-frequency limit of the phase velocity (i.e. the wavefront velocity) is always equal to c and causality is assured. However, the Kramers-Kronig dispersion relation is violated due to a non-analyticity of the refractive index in the upper-half complex plane, whose origin may be traced to the generic focusing property of null geodesic congruences and the existence of conjugate points. This puts into question the issue of micro-causality, i.e. the vanishing of commutators of field operators at spacelike separated points, in local quantum field theory in curved spacetime.
|
hep-th/9302022
|
Herman Verlinde
|
Erik Verlinde and Herman Verlinde
|
A Unitary S-matrix for 2D Black Hole Formation and Evaporation
|
19 pages, LaTeX
|
Nucl.Phys. B406 (1993) 43-58
|
10.1016/0550-3213(93)90160-Q
| null |
hep-th
| null |
We study the black hole information paradox in the context of a
two-dimensional toy model given by dilaton gravity coupled to $N$ massless
scalar fields. After making the model well-defined by imposing reflecting
boundary conditions at a critical value of the dilaton field, we quantize the
theory and derive the quantum quantum $S$-matrix for the case that $N$=$24$.
This $S$-matrix is unitary by construction, and we further argue that in the
semiclassical regime it describes the formation and subsequent Hawking
evaporation of two-dimensional black holes. Finally, we note an interesting
correspondence between the dilaton gravity $S$-matrix and that of the $c=1$
matrix model.
|
[
{
"created": "Sun, 7 Feb 1993 04:49:44 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Verlinde",
"Erik",
""
],
[
"Verlinde",
"Herman",
""
]
] |
We study the black hole information paradox in the context of a two-dimensional toy model given by dilaton gravity coupled to $N$ massless scalar fields. After making the model well-defined by imposing reflecting boundary conditions at a critical value of the dilaton field, we quantize the theory and derive the quantum quantum $S$-matrix for the case that $N$=$24$. This $S$-matrix is unitary by construction, and we further argue that in the semiclassical regime it describes the formation and subsequent Hawking evaporation of two-dimensional black holes. Finally, we note an interesting correspondence between the dilaton gravity $S$-matrix and that of the $c=1$ matrix model.
|
2007.01559
|
Sara Tahery
|
Sara Tahery, Liping Zou and Xurong Chen
|
A comparison of condensate mass of QCD vacuum between Wilson line
approach and Schwinger effect
|
14 pages, 3 figures
|
2021 Chinese Phys. C 45 043107
|
10.1088/1674-1137/abe03b
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
By duality approach, we study condensate mass of QCD vacuum via dilaton wall
background in presence of parameter $c$ which represents the gluon condensation
in holographic set up. First from Wilson line calculation we find $m^2_0$
(condensate parameter in mixed nonlocal condensation) whose behavior mimics
that of QCD. The value of $m^2_0$ that we find by this approach, is in
agreement with QCD data. In the second step we consider produced mass m via
Schwinger effect mechanism in presence of parameter $c$. We show that generally
gluon condensation contribute mass dominantly and produced mass via Schwinger
effect is suppressed by $m_0$ .
|
[
{
"created": "Fri, 3 Jul 2020 08:51:41 GMT",
"version": "v1"
},
{
"created": "Sun, 30 Aug 2020 06:34:19 GMT",
"version": "v2"
},
{
"created": "Tue, 6 Oct 2020 05:18:22 GMT",
"version": "v3"
},
{
"created": "Thu, 7 Jan 2021 03:52:32 GMT",
"version": "v4"
}
] |
2021-03-22
|
[
[
"Tahery",
"Sara",
""
],
[
"Zou",
"Liping",
""
],
[
"Chen",
"Xurong",
""
]
] |
By duality approach, we study condensate mass of QCD vacuum via dilaton wall background in presence of parameter $c$ which represents the gluon condensation in holographic set up. First from Wilson line calculation we find $m^2_0$ (condensate parameter in mixed nonlocal condensation) whose behavior mimics that of QCD. The value of $m^2_0$ that we find by this approach, is in agreement with QCD data. In the second step we consider produced mass m via Schwinger effect mechanism in presence of parameter $c$. We show that generally gluon condensation contribute mass dominantly and produced mass via Schwinger effect is suppressed by $m_0$ .
|
hep-th/9604107
|
Fermin Aldabe
|
F. Aldabe
|
A Supermembrane Description of String-String Duality
|
Latex
|
Phys.Lett. B404 (1997) 271-275
|
10.1016/S0370-2693(97)00532-7
| null |
hep-th
| null |
We show that the open membrane action on $T^3\times S^1/Z^2$ is equivalent to
the closed membrane action on K3. The main difference between the two actions
is that one generates the KK modes in the worldvolume action which is the
strong coupling limit of \IIA\ while the other action generates the KK modes in
a worldsheet action. Thus explaining membrane-string duality in D=7, which
naturally leads to string-string duality in D=6.
|
[
{
"created": "Thu, 18 Apr 1996 21:17:55 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Aldabe",
"F.",
""
]
] |
We show that the open membrane action on $T^3\times S^1/Z^2$ is equivalent to the closed membrane action on K3. The main difference between the two actions is that one generates the KK modes in the worldvolume action which is the strong coupling limit of \IIA\ while the other action generates the KK modes in a worldsheet action. Thus explaining membrane-string duality in D=7, which naturally leads to string-string duality in D=6.
|
0805.1642
|
Peter Minkowski
|
Peter Minkowski
|
On the class of chiral symmetry representations with scalar and
pseudoscalar fields
|
10 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the following few pages an account is given of a theme, which I began in
1966 and followed to the present.
|
[
{
"created": "Mon, 12 May 2008 15:14:42 GMT",
"version": "v1"
}
] |
2008-05-13
|
[
[
"Minkowski",
"Peter",
""
]
] |
In the following few pages an account is given of a theme, which I began in 1966 and followed to the present.
|
1510.06137
|
Marek Rogatko
|
Marek Rogatko, Karol I. Wysokinski
|
Holographic vortices in the presence of dark matter sector
|
23 pages, JHEP-style
|
JHEP 12 (2015) 041
|
10.1007/JHEP12(2015)041
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The {\it dark matter} seem to be an inevitable ingredient of the total matter
configuration in the Universe and the knowledge how the {\it dark matter}
affects the properties of superconductors is of vital importance for the
experiments aimed at its direct detection. The homogeneous magnetic field
acting perpendicularly to the surface of (2+1) dimensional s-wave holographic
superconductor in the theory with {\it dark matter} sector has been modeled by
the additional $U(1)$-gauge field representing dark matter and coupled to the
Maxwell one. As expected the free energy for the vortex configuration turns out
to be negative. Importantly its value is lower in the presence of {\it dark
matter} sector. This feature can explain why in the Early Universe first the
web of {\it dark matter} appeared and next on these gratings the ordinary
matter forming cluster of galaxies has formed.
|
[
{
"created": "Wed, 21 Oct 2015 05:38:03 GMT",
"version": "v1"
}
] |
2016-04-25
|
[
[
"Rogatko",
"Marek",
""
],
[
"Wysokinski",
"Karol I.",
""
]
] |
The {\it dark matter} seem to be an inevitable ingredient of the total matter configuration in the Universe and the knowledge how the {\it dark matter} affects the properties of superconductors is of vital importance for the experiments aimed at its direct detection. The homogeneous magnetic field acting perpendicularly to the surface of (2+1) dimensional s-wave holographic superconductor in the theory with {\it dark matter} sector has been modeled by the additional $U(1)$-gauge field representing dark matter and coupled to the Maxwell one. As expected the free energy for the vortex configuration turns out to be negative. Importantly its value is lower in the presence of {\it dark matter} sector. This feature can explain why in the Early Universe first the web of {\it dark matter} appeared and next on these gratings the ordinary matter forming cluster of galaxies has formed.
|
1606.01790
|
Wolfgang M\"uck
|
Wolfgang M\"uck
|
Hawking radiation is corpuscular
|
6 pages, v.3: added reference
|
Eur. Phys. J. C (2016) 76: 374
|
10.1140/epjc/s10052-016-4233-3
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The total number of Hawking quanta emitted during the evaporation of a
Schwarzschild black hole is proportional to the square of the initial mass or,
equivalently, to the Bekenstein entropy. This simple, but little appreciated,
fact is interpreted in terms of the recent discovery of black hole soft hair.
|
[
{
"created": "Mon, 6 Jun 2016 15:42:27 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Jun 2016 14:02:41 GMT",
"version": "v2"
},
{
"created": "Wed, 29 Jun 2016 07:48:21 GMT",
"version": "v3"
}
] |
2016-07-08
|
[
[
"Mück",
"Wolfgang",
""
]
] |
The total number of Hawking quanta emitted during the evaporation of a Schwarzschild black hole is proportional to the square of the initial mass or, equivalently, to the Bekenstein entropy. This simple, but little appreciated, fact is interpreted in terms of the recent discovery of black hole soft hair.
|
hep-th/0403033
|
Melita Mnatsakanova
|
M. N. Mnatsakanova (Skobeltsyn Institute of Nuclear Physics, Moscow
State University) and Yu. S. Vernov (Institute for Nuclear Research, Russian
Academy of Sciences)
|
Jost-Lehmann-Dyson Representation, Analyticity in Angle Variable and
Upper Bounds in Noncommutative Quantum Field Theory
|
LaTeX, 15 pages, improved version, misprints corrected, the
references added, to appear in Theor. Math. Phys
|
Theor.Math.Phys.142:324-336,2005; Teor.Mat.Fiz.142:388-402,2005
|
10.1007/s11232-005-0015-z
| null |
hep-th
| null |
The existence of Jost-Lehmann-Dyson representation analogue has been proved
in framework of space-space noncommutative quantum field theory. On the basis
of this representation it has been found that some class of elastic amplitudes
admits an analytical continuation into complex \cos\vartheta plane and
corresponding domain of analyticity is Martin ellipse. This analyticity
combined with unitarity leads to Froissart-Martin upper bound on total cross
section.
|
[
{
"created": "Tue, 2 Mar 2004 14:24:35 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Oct 2004 12:42:34 GMT",
"version": "v2"
}
] |
2011-07-19
|
[
[
"Mnatsakanova",
"M. N.",
"",
"Skobeltsyn Institute of Nuclear Physics, Moscow\n State University"
],
[
"Vernov",
"Yu. S.",
"",
"Institute for Nuclear Research, Russian\n Academy of Sciences"
]
] |
The existence of Jost-Lehmann-Dyson representation analogue has been proved in framework of space-space noncommutative quantum field theory. On the basis of this representation it has been found that some class of elastic amplitudes admits an analytical continuation into complex \cos\vartheta plane and corresponding domain of analyticity is Martin ellipse. This analyticity combined with unitarity leads to Froissart-Martin upper bound on total cross section.
|
0806.1197
|
Rodrigo Olea
|
Georgios Kofinas and Rodrigo Olea
|
Universal Kounterterms in Lovelock AdS gravity
|
9 pages, no figures. Contribution to the proceedings of 3rd RTN
Workshop: Constituents, Fundamental Forces and Symmetries of the Universe,
Valencia, Spain, 1-5 Oct 2007
|
Fortsch.Phys.56:957-963,2008
|
10.1002/prop.200810565
|
IFUM-918-FT
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show the universal form of the boundary term (Kounterterm series) which
regularizes the Euclidean action and background-independent definition of
conserved quantities for any Lovelock gravity theory with AdS asymptotics
(including Einstein-Hilbert and Einstein-Gauss-Bonnet). We discuss on the
connection of this procedure to the existence of topological invariants and
Chern-Simons forms in the corresponding dimensions.
|
[
{
"created": "Fri, 6 Jun 2008 16:05:38 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Kofinas",
"Georgios",
""
],
[
"Olea",
"Rodrigo",
""
]
] |
We show the universal form of the boundary term (Kounterterm series) which regularizes the Euclidean action and background-independent definition of conserved quantities for any Lovelock gravity theory with AdS asymptotics (including Einstein-Hilbert and Einstein-Gauss-Bonnet). We discuss on the connection of this procedure to the existence of topological invariants and Chern-Simons forms in the corresponding dimensions.
|
1509.00529
|
Theodore J. Allen
|
Theodore J. Allen, Donald Spector, and Christopher Wilson
|
Quantization of Pseudoclassical Systems in the Schr\"odinger Realization
|
23 pages single column or 13 pages double column. Edited for style.
New section on relation to Dirac-K\"ahler representation of fermions
| null | null | null |
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We examine the quantization of pseudoclassical dynamical systems, models that
have classically anticommuting variables, in the Schr\"odinger picture. We
quantize these systems, which can be viewed as classical models of particle
spin, using the generalized Gupta-Bleuler method as well as the reduced phase
space method in even dimensions. With minimal modifications, the standard
constructions of Schr\"odinger quantum mechanics of constrained systems work
for pseudoclassical systems. We generalize the standard Schr\"odinger norm and
implement the correct adjointness properties of observables and constraints. We
construct the state space corresponding to spinors as physical wave functions
of anticommuting variables, finding that there are superselection sectors in
both the physical and ghost subspaces. The physical states are isomorphic to
those of the Dirac-K\"ahler formulation of fermions though the inner product in
Dirac-K\"ahler theory is not equivalent to ours.
|
[
{
"created": "Wed, 2 Sep 2015 00:11:38 GMT",
"version": "v1"
},
{
"created": "Sun, 2 Feb 2020 18:21:45 GMT",
"version": "v2"
}
] |
2020-02-04
|
[
[
"Allen",
"Theodore J.",
""
],
[
"Spector",
"Donald",
""
],
[
"Wilson",
"Christopher",
""
]
] |
We examine the quantization of pseudoclassical dynamical systems, models that have classically anticommuting variables, in the Schr\"odinger picture. We quantize these systems, which can be viewed as classical models of particle spin, using the generalized Gupta-Bleuler method as well as the reduced phase space method in even dimensions. With minimal modifications, the standard constructions of Schr\"odinger quantum mechanics of constrained systems work for pseudoclassical systems. We generalize the standard Schr\"odinger norm and implement the correct adjointness properties of observables and constraints. We construct the state space corresponding to spinors as physical wave functions of anticommuting variables, finding that there are superselection sectors in both the physical and ghost subspaces. The physical states are isomorphic to those of the Dirac-K\"ahler formulation of fermions though the inner product in Dirac-K\"ahler theory is not equivalent to ours.
|
1906.09561
|
Farzad Omidi
|
Amin Akhavan and Farzad Omidi
|
On the Role of Counterterms in Holographic Complexity
|
38 pages, 3 figures, V2: Section "Complexity of Formation", appendix
B "Holographic complexity of AdS_{d+1} in global coordinates", and some
references are added. V3: some typos are corrected
|
JHEP11 (2019) 054
|
10.1007/JHEP11(2019)054
|
IPM/P-2019/023
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the Complexity=Action (CA) proposal in Einstein gravity and
investigate new counterterms which are able to remove all the UV divergences of
holographic complexity. We first show that the two different methods for
regularizing the gravitational on-shell action proposed in Ref.
\cite{Carmi:2016wjl} are completely equivalent, provided that one considers the
Gibbons-Hawking-York term as well as new counterterms inspired from holographic
renormalization on timelike boundaries of the WDW patch. Next, we introduce new
counterterms on the null boundaries of the WDW patch for four and five
dimensional asymptotically AdS spacetimes which are able to remove all the UV
divergences of the on-shell action. Moreover, they are covariant and do not
change the equations of motion. At the end, by applying the null counterterms,
we calculate the holographic complexity of an AdS-Schwarzschild black hole as
well as the complexity of formation. We show that the null counterterms do not
change the complexity of formation.
|
[
{
"created": "Sun, 23 Jun 2019 07:12:30 GMT",
"version": "v1"
},
{
"created": "Sun, 13 Oct 2019 06:21:02 GMT",
"version": "v2"
},
{
"created": "Thu, 28 Nov 2019 19:03:04 GMT",
"version": "v3"
}
] |
2021-02-18
|
[
[
"Akhavan",
"Amin",
""
],
[
"Omidi",
"Farzad",
""
]
] |
We consider the Complexity=Action (CA) proposal in Einstein gravity and investigate new counterterms which are able to remove all the UV divergences of holographic complexity. We first show that the two different methods for regularizing the gravitational on-shell action proposed in Ref. \cite{Carmi:2016wjl} are completely equivalent, provided that one considers the Gibbons-Hawking-York term as well as new counterterms inspired from holographic renormalization on timelike boundaries of the WDW patch. Next, we introduce new counterterms on the null boundaries of the WDW patch for four and five dimensional asymptotically AdS spacetimes which are able to remove all the UV divergences of the on-shell action. Moreover, they are covariant and do not change the equations of motion. At the end, by applying the null counterterms, we calculate the holographic complexity of an AdS-Schwarzschild black hole as well as the complexity of formation. We show that the null counterterms do not change the complexity of formation.
|
hep-th/9811234
|
Arne Lykke Larsen
|
F. Aldabe and A.L. Larsen
|
The SO(32) Heterotic and Type IIB Membranes
|
12 pages, Latex
|
JHEP 9811 (1998) 012
|
10.1088/1126-6708/1998/11/012
| null |
hep-th
| null |
A two dimensional anomaly cancellation argument is used to construct the
SO(32) heterotic and type IIB membranes. By imposing different boundary
conditions at the two boundaries of a membrane, we shift all of the two
dimensional anomaly to one of the boundaries. The topology of these membranes
is that of a 2-dimensional cone propagating in the 11-dimensional target space.
Dimensional reduction of these membranes yields the SO(32) heterotic and type
IIB strings.
|
[
{
"created": "Fri, 27 Nov 1998 09:42:30 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Aldabe",
"F.",
""
],
[
"Larsen",
"A. L.",
""
]
] |
A two dimensional anomaly cancellation argument is used to construct the SO(32) heterotic and type IIB membranes. By imposing different boundary conditions at the two boundaries of a membrane, we shift all of the two dimensional anomaly to one of the boundaries. The topology of these membranes is that of a 2-dimensional cone propagating in the 11-dimensional target space. Dimensional reduction of these membranes yields the SO(32) heterotic and type IIB strings.
|
hep-th/0307179
|
Mattias N. R. Wohlfarth
|
Mattias N.R. Wohlfarth
|
Inflationary Cosmologies from Compactification?
|
22 pages, REVTeX4
|
Phys.Rev. D69 (2004) 066002
|
10.1103/PhysRevD.69.066002
|
DAMTP-2003-68
|
hep-th
| null |
We consider the compactification of (d+n)-dimensional pure gravity and of
superstring/M-theory on an n-dimensional internal space to a d-dimensional FLRW
cosmology, with spatial curvature k=-1,0,+1, in Einstein conformal frame. The
internal space is taken to be a product of Einstein spaces, each of which is
allowed to have arbitrary curvature and a time-dependent volume. By
investigating the effective d-dimensional scalar potential, which is a sum of
exponentials, it is shown that such compactifications, in the k=0,+1 cases, do
not lead to large amounts of accelerating expansion of the scale factor of the
resulting FLRW universe, and, in particular, not to inflation. The case k=-1
admits solutions with eternal accelerating expansion for which the
acceleration, however, tends to zero at late times.
|
[
{
"created": "Fri, 18 Jul 2003 13:32:47 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Wohlfarth",
"Mattias N. R.",
""
]
] |
We consider the compactification of (d+n)-dimensional pure gravity and of superstring/M-theory on an n-dimensional internal space to a d-dimensional FLRW cosmology, with spatial curvature k=-1,0,+1, in Einstein conformal frame. The internal space is taken to be a product of Einstein spaces, each of which is allowed to have arbitrary curvature and a time-dependent volume. By investigating the effective d-dimensional scalar potential, which is a sum of exponentials, it is shown that such compactifications, in the k=0,+1 cases, do not lead to large amounts of accelerating expansion of the scale factor of the resulting FLRW universe, and, in particular, not to inflation. The case k=-1 admits solutions with eternal accelerating expansion for which the acceleration, however, tends to zero at late times.
|
1408.3795
|
Mir Faizal
|
Mir Faizal, Barun Majumder
|
Incorporation of Generalized Uncertainty Principle into Lifshitz Field
Theories
|
13 pages, 0 figures, accepted for publication in Ann. Phys
|
Ann. Phys. 357: 49, 2015
|
10.1016/j.aop.2015.03.022
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we will incorporation the generalized uncertainty principle
into field theories with Lifshitz scaling. We will first construct both
bososnic and fermionic theories with Lifshitz scaling based on generalized
uncertainty principle. After that we will incorporate the generalized
uncertainty principle into an non-abelian gauge theory with Lifshitz scaling.
We will observe that even though the action for this theory is non-local, it is
invariant under local gauge transformations. We will also perform the
stochastic quantization of this Lifshitz fermionic theory based generalized
uncertainty principle.
|
[
{
"created": "Sun, 17 Aug 2014 05:25:07 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Mar 2015 05:17:18 GMT",
"version": "v2"
}
] |
2015-05-20
|
[
[
"Faizal",
"Mir",
""
],
[
"Majumder",
"Barun",
""
]
] |
In this paper, we will incorporation the generalized uncertainty principle into field theories with Lifshitz scaling. We will first construct both bososnic and fermionic theories with Lifshitz scaling based on generalized uncertainty principle. After that we will incorporate the generalized uncertainty principle into an non-abelian gauge theory with Lifshitz scaling. We will observe that even though the action for this theory is non-local, it is invariant under local gauge transformations. We will also perform the stochastic quantization of this Lifshitz fermionic theory based generalized uncertainty principle.
|
2210.15579
|
Anurag Kaushal
|
Adwait Gaikwad, Anurag Kaushal, Gautam Mandal and Spenta R. Wadia
|
A Microscopic Model of Black Hole Evaporation in Two Dimensions
|
V2: Added minor comments and clarifications, updated references and
corrected typos. V3: Corrected few more typos
| null |
10.1007/JHEP08(2023)171
| null |
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a microscopic model of black hole (BH) `evaporation' in
asymptotically $AdS_2$ spacetimes dual to the low energy sector of the SYK
model. To describe evaporation, the SYK model is coupled to a bath comprising
of $N_f$ free scalar fields $\Phi_i$. We consider a linear combination of
couplings of the form $O_{SYK}(t)\sum_i\Phi_i(0,t)$, where $O_{SYK}$ involves
products of the Kourkoulou-Maldacena operator $i
J/N\sum_{k=1}^{N/2}s'_k\psi_{2k-1}(t)\psi_{2k}(t)$ specified by a spin vector
$s'$. We discuss the time evolution of a product of (i) a pure state of the SYK
system, namely a BH microstate characterized by a spin vector $s$ and an
effective BH temperature $T_{BH}$, and (ii) a Calabrese-Cardy state of the bath
characterized by an effective temperature $T_{bath}$. We take $T_{bath}\ll
T_{BH}$, and $T_{BH}$ much lower than the characteristic UV scale $J$ of the
SYK model, allowing a description in terms of the time reparameterization mode.
Tracing over the bath degrees of freedom leads to a Feynman-Vernon type
effective action for the SYK model, which we study in the low energy limit. The
leading large $N$ behaviour of the time reparameterization mode is found, as
well as the $O(1/\sqrt N)$ fluctuations. The latter are characterized by a
non-Markovian non-linear stochastic differential equation with non-local
Gaussian noise. In a restricted range of couplings, we find two classes of
solutions which asymptotically approach (a) a BH at a lower temperature, and
(b) a horizonless geometry. We identify these with partial and complete BH
evaporation, respectively. Importantly, the asymptotic solution in both cases
involves the scalar product of the spin vectors $s.s'$, which carries some
information about the initial state. By repeating the dynamical process
$O(N^2)$ times with different choices of the spin vector $s'$, one can in
principle reconstruct the initial BH microstate.
|
[
{
"created": "Thu, 27 Oct 2022 16:15:49 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Jul 2023 16:55:24 GMT",
"version": "v2"
},
{
"created": "Mon, 14 Aug 2023 16:06:43 GMT",
"version": "v3"
}
] |
2023-08-30
|
[
[
"Gaikwad",
"Adwait",
""
],
[
"Kaushal",
"Anurag",
""
],
[
"Mandal",
"Gautam",
""
],
[
"Wadia",
"Spenta R.",
""
]
] |
We present a microscopic model of black hole (BH) `evaporation' in asymptotically $AdS_2$ spacetimes dual to the low energy sector of the SYK model. To describe evaporation, the SYK model is coupled to a bath comprising of $N_f$ free scalar fields $\Phi_i$. We consider a linear combination of couplings of the form $O_{SYK}(t)\sum_i\Phi_i(0,t)$, where $O_{SYK}$ involves products of the Kourkoulou-Maldacena operator $i J/N\sum_{k=1}^{N/2}s'_k\psi_{2k-1}(t)\psi_{2k}(t)$ specified by a spin vector $s'$. We discuss the time evolution of a product of (i) a pure state of the SYK system, namely a BH microstate characterized by a spin vector $s$ and an effective BH temperature $T_{BH}$, and (ii) a Calabrese-Cardy state of the bath characterized by an effective temperature $T_{bath}$. We take $T_{bath}\ll T_{BH}$, and $T_{BH}$ much lower than the characteristic UV scale $J$ of the SYK model, allowing a description in terms of the time reparameterization mode. Tracing over the bath degrees of freedom leads to a Feynman-Vernon type effective action for the SYK model, which we study in the low energy limit. The leading large $N$ behaviour of the time reparameterization mode is found, as well as the $O(1/\sqrt N)$ fluctuations. The latter are characterized by a non-Markovian non-linear stochastic differential equation with non-local Gaussian noise. In a restricted range of couplings, we find two classes of solutions which asymptotically approach (a) a BH at a lower temperature, and (b) a horizonless geometry. We identify these with partial and complete BH evaporation, respectively. Importantly, the asymptotic solution in both cases involves the scalar product of the spin vectors $s.s'$, which carries some information about the initial state. By repeating the dynamical process $O(N^2)$ times with different choices of the spin vector $s'$, one can in principle reconstruct the initial BH microstate.
|
1612.02612
|
Marc Andre Heller
|
Ursula Carow-Watamura, Marc Andre Heller, Noriaki Ikeda, Tomokazu
Kaneko and Satoshi Watamura
|
Off-Shell Covariantization of Algebroid Gauge Theories
|
24 pages, typos corrected, one reference added
|
Prog Theor Exp Phys (2017)
|
10.1093/ptep/ptx100
|
TU-1035
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a generalized method to construct field strengths and gauge
symmetries, which yield a Yang-Mills type action with Lie n-algebroid gauge
symmetry. The procedure makes use of off-shell covariantization in a
supergeometric setting. We apply this method to the system of a 1-form gauge
field and scalar fields with Lie n-algebroid gauge symmetry. We work out some
characteristic examples.
|
[
{
"created": "Thu, 8 Dec 2016 12:12:26 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Jan 2017 08:19:39 GMT",
"version": "v2"
}
] |
2019-12-06
|
[
[
"Carow-Watamura",
"Ursula",
""
],
[
"Heller",
"Marc Andre",
""
],
[
"Ikeda",
"Noriaki",
""
],
[
"Kaneko",
"Tomokazu",
""
],
[
"Watamura",
"Satoshi",
""
]
] |
We present a generalized method to construct field strengths and gauge symmetries, which yield a Yang-Mills type action with Lie n-algebroid gauge symmetry. The procedure makes use of off-shell covariantization in a supergeometric setting. We apply this method to the system of a 1-form gauge field and scalar fields with Lie n-algebroid gauge symmetry. We work out some characteristic examples.
|
2006.10051
|
Xi Dong
|
Xi Dong, Huajia Wang
|
Enhanced corrections near holographic entanglement transitions: a
chaotic case study
|
36 pages, 9 figures
| null |
10.1007/JHEP11(2020)007
| null |
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recent work found an enhanced correction to the entanglement entropy of a
subsystem in a chaotic energy eigenstate. The enhanced correction appears near
a phase transition in the entanglement entropy that happens when the subsystem
size is half of the entire system size. Here we study the appearance of such
enhanced corrections holographically. We show explicitly how to find these
corrections in the example of chaotic eigenstates by summing over contributions
of all bulk saddle point solutions, including those that break the replica
symmetry. With the help of an emergent rotational symmetry, the sum over all
saddle points is written in terms of an effective action for cosmic branes. The
resulting Renyi and entanglement entropies are then naturally organized in a
basis of fixed-area states and can be evaluated directly, showing an enhanced
correction near holographic entanglement transitions. We comment on several
intriguing features of our tractable example and discuss the implications for
finding a convincing derivation of the enhanced corrections in other, more
general holographic examples.
|
[
{
"created": "Wed, 17 Jun 2020 18:00:00 GMT",
"version": "v1"
}
] |
2020-12-02
|
[
[
"Dong",
"Xi",
""
],
[
"Wang",
"Huajia",
""
]
] |
Recent work found an enhanced correction to the entanglement entropy of a subsystem in a chaotic energy eigenstate. The enhanced correction appears near a phase transition in the entanglement entropy that happens when the subsystem size is half of the entire system size. Here we study the appearance of such enhanced corrections holographically. We show explicitly how to find these corrections in the example of chaotic eigenstates by summing over contributions of all bulk saddle point solutions, including those that break the replica symmetry. With the help of an emergent rotational symmetry, the sum over all saddle points is written in terms of an effective action for cosmic branes. The resulting Renyi and entanglement entropies are then naturally organized in a basis of fixed-area states and can be evaluated directly, showing an enhanced correction near holographic entanglement transitions. We comment on several intriguing features of our tractable example and discuss the implications for finding a convincing derivation of the enhanced corrections in other, more general holographic examples.
|
1502.03976
|
Omar El Deeb
|
Omar El Deeb
|
Lee-Yang Model in Presence of Defects
|
PhD Thesis 122 pages, 42 figure, 6 tables Note: ABF Lattice model
based on arXiv:hep-th/0012223 by Paul A. Pearce, Leung Chim, Changrim Ahn
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
I choose the Lee-Yang model and go through different approaches to analyze it
using the form factor approach and the bootstrap program, the lattice
description and the lattice TBA equations for a full understanding of the
model.
The bootstrap program aims to explicitly solve 1+1 dimensional integrable
quantum field theories. In the first step, called the S-matrix bootstrap, the
scattering matrix, is determined from its properties. In developing a defect
form factor program the first step is the T-matrix bootstrap. Interacting
integrable defect theories are purely transmitting and topological. We analyze
both operators localized in the bulk and also on the defect. By finding their
solutions, the spectral representation of any correlator can be determined.
Next we consider the model on the lattice. The lattice approach allows to
obtain both massive and massless excited TBA equations by studying the
continuum scaling limit of the associated integrable lattice models. The most
important input from the lattice approach is an insight into the analytic
structure of the excited state solutions of the TBA equations. Previously this
structure had to be guessed. In this thesis we turn our attention to the
simplest example of a non-unitary minimal theory, namely, the Lee-Yang minimal
model M(2,5). We study the Lee-Yang model on the lattice. We analyze the
periodic, boundary and the seam cases in both massive and massless regimes. We
derive their ground state TBA equations and analyze the flows between different
boundary and defect conditions.
Finally, in the large volume limit, we calculate the L\"uscher correction
terms of the TBA energy of a one-particle state. We display those ideas in the
end of the thesis as this is an important direction of work in string theory,
particularly in the AdS/CFT correspondence.
|
[
{
"created": "Fri, 13 Feb 2015 13:07:08 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Feb 2015 16:28:55 GMT",
"version": "v2"
}
] |
2015-02-17
|
[
[
"Deeb",
"Omar El",
""
]
] |
I choose the Lee-Yang model and go through different approaches to analyze it using the form factor approach and the bootstrap program, the lattice description and the lattice TBA equations for a full understanding of the model. The bootstrap program aims to explicitly solve 1+1 dimensional integrable quantum field theories. In the first step, called the S-matrix bootstrap, the scattering matrix, is determined from its properties. In developing a defect form factor program the first step is the T-matrix bootstrap. Interacting integrable defect theories are purely transmitting and topological. We analyze both operators localized in the bulk and also on the defect. By finding their solutions, the spectral representation of any correlator can be determined. Next we consider the model on the lattice. The lattice approach allows to obtain both massive and massless excited TBA equations by studying the continuum scaling limit of the associated integrable lattice models. The most important input from the lattice approach is an insight into the analytic structure of the excited state solutions of the TBA equations. Previously this structure had to be guessed. In this thesis we turn our attention to the simplest example of a non-unitary minimal theory, namely, the Lee-Yang minimal model M(2,5). We study the Lee-Yang model on the lattice. We analyze the periodic, boundary and the seam cases in both massive and massless regimes. We derive their ground state TBA equations and analyze the flows between different boundary and defect conditions. Finally, in the large volume limit, we calculate the L\"uscher correction terms of the TBA energy of a one-particle state. We display those ideas in the end of the thesis as this is an important direction of work in string theory, particularly in the AdS/CFT correspondence.
|
1701.00245
|
Poul Olesen
|
Poul Olesen
|
Non-Abelian bootstrap of primordial magnetism
|
6 pages. Magnetic energy formula for the flat expanding universe
added. Misprint corrected. Some clarifying remarks on energy minimization
added
| null | null | null |
hep-th astro-ph.HE hep-ph math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We point out that a primordial magnetic field can be generated in the
electroweak phase transition by a non-Abelian bootstrap, where the field is
generated by currents of W's, which in turn are extracted from the vacuum by
the magnetic field. This magnetic field is produced as a vortex condensate at
the electroweak phase transition. It becomes stringy as a consequence of the
dynamical evolution due to magnetohydrodynamics.
|
[
{
"created": "Sun, 1 Jan 2017 13:53:40 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Jan 2017 14:16:58 GMT",
"version": "v2"
},
{
"created": "Wed, 25 Jan 2017 14:49:06 GMT",
"version": "v3"
}
] |
2017-01-27
|
[
[
"Olesen",
"Poul",
""
]
] |
We point out that a primordial magnetic field can be generated in the electroweak phase transition by a non-Abelian bootstrap, where the field is generated by currents of W's, which in turn are extracted from the vacuum by the magnetic field. This magnetic field is produced as a vortex condensate at the electroweak phase transition. It becomes stringy as a consequence of the dynamical evolution due to magnetohydrodynamics.
|
hep-th/9809044
|
Seif Randjbar-Daemi,
|
S. Randjbar-Daemi
|
Aspects of Six Dimensional Supersymmetric Theories
|
18 pages, TeX, Contribution to the Abdus Salam Memorial Meeting,
19-22 November 1997, Trieste, Italy
| null | null |
IC/98/127
|
hep-th
| null |
In this contribution some aspects of supergravity and super Yang-Mills
systems in D=6 are briefly reviewed and, in some cases, are contrasted with the
analogous features in D=4. Particular emphasis is laid on the stringy solutions
of the D=6 super Yang-Mills systems.
|
[
{
"created": "Mon, 7 Sep 1998 17:13:15 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Randjbar-Daemi",
"S.",
""
]
] |
In this contribution some aspects of supergravity and super Yang-Mills systems in D=6 are briefly reviewed and, in some cases, are contrasted with the analogous features in D=4. Particular emphasis is laid on the stringy solutions of the D=6 super Yang-Mills systems.
|
0805.4452
|
Andreas Albrecht
|
Andreas Albrecht and Alberto Iglesias
|
The clock ambiguity: Implications and new developments
|
15 Pages including 2 figures. Published in the proceedings of the
"Origin of Time's Arrow" conference, New York Academy of Sciences Press. V2:
Technical error corrected in Section 6 (specifics can be found in footnote
7). Main results unchanged. Citations added to related work by C. Wetterich
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the ambiguity associated with the choice of clock in time
reparameterization invariant theories. This arbitrariness undermines the goal
of prescribing a fixed set of physical laws, since a change of time variable
can completely alter the predictions of the theory. We review the main features
of the clock ambiguity and our earlier work on its implications for the
emergence of physical laws in a statistical manner. We also present a number of
new results: We show that (contrary to suggestions in our earlier work) time
independent Hamiltonians may quite generally be assumed for laws of physics
that emerge in this picture. We also further explore the degree to which the
observed Universe can be well approximated by a random Hamiltonian. We discuss
the possibility of predicting the dimensionality of space, and also relate the
2nd derivative of the density of states to the heat capacity of the Universe.
This new work adds to the viability of our proposal that strong predictions for
physical laws may emerge based on statistical arguments despite the clock
ambiguity, but many open questions remain.
|
[
{
"created": "Thu, 29 May 2008 00:03:57 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Jan 2009 23:08:26 GMT",
"version": "v2"
}
] |
2009-01-27
|
[
[
"Albrecht",
"Andreas",
""
],
[
"Iglesias",
"Alberto",
""
]
] |
We consider the ambiguity associated with the choice of clock in time reparameterization invariant theories. This arbitrariness undermines the goal of prescribing a fixed set of physical laws, since a change of time variable can completely alter the predictions of the theory. We review the main features of the clock ambiguity and our earlier work on its implications for the emergence of physical laws in a statistical manner. We also present a number of new results: We show that (contrary to suggestions in our earlier work) time independent Hamiltonians may quite generally be assumed for laws of physics that emerge in this picture. We also further explore the degree to which the observed Universe can be well approximated by a random Hamiltonian. We discuss the possibility of predicting the dimensionality of space, and also relate the 2nd derivative of the density of states to the heat capacity of the Universe. This new work adds to the viability of our proposal that strong predictions for physical laws may emerge based on statistical arguments despite the clock ambiguity, but many open questions remain.
|
2310.09799
|
Xin-Xiang Ju
|
Xin-Xiang Ju, Bo-Hao Liu, Wen-Bin Pan, Ya-Wen Sun, and Yuan-Tai Wang
|
Squashed Entanglement from Generalized Rindler Wedge
|
35 pages, 6 figures, discussions on CEMI added
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the bipartite and multipartite quantum entanglement structure
in gravity and the dual holographic field theory based on the generalized
Rindler wedge formalism. We deduce a separation theorem, which asserts that for
subregions satisfying a certain geometric condition, the bipartite/multipartite
squashed entanglement or the conditional entanglement of multipartite
information vanishes, indicating that these subregions represent separable
states with no quantum entanglement among them. We interpret this fact from the
observer perspective in gravity and show how to probe the entanglement
structure further in this framework by introducing a time cutoff in the
gravitational spacetime. We also present the corresponding dual boundary field
theory interpretation.
|
[
{
"created": "Sun, 15 Oct 2023 11:08:04 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Nov 2023 10:41:51 GMT",
"version": "v2"
}
] |
2023-11-02
|
[
[
"Ju",
"Xin-Xiang",
""
],
[
"Liu",
"Bo-Hao",
""
],
[
"Pan",
"Wen-Bin",
""
],
[
"Sun",
"Ya-Wen",
""
],
[
"Wang",
"Yuan-Tai",
""
]
] |
We investigate the bipartite and multipartite quantum entanglement structure in gravity and the dual holographic field theory based on the generalized Rindler wedge formalism. We deduce a separation theorem, which asserts that for subregions satisfying a certain geometric condition, the bipartite/multipartite squashed entanglement or the conditional entanglement of multipartite information vanishes, indicating that these subregions represent separable states with no quantum entanglement among them. We interpret this fact from the observer perspective in gravity and show how to probe the entanglement structure further in this framework by introducing a time cutoff in the gravitational spacetime. We also present the corresponding dual boundary field theory interpretation.
|
hep-th/0003241
|
Masako Asano
|
Masako Asano
|
Compactification and Identification of Branes in the Kaluza-Klein
monopole backgrounds
|
21 pages, 5 figures, LaTeX
| null | null |
UT-Komaba/00-06
|
hep-th
| null |
We study the properties of branes in supergravity theory. We investigate a
class of systems consisting of an M5-brane in the Kaluza-Klein monopole
background with 1/4 supersymmetry in 11-dimensions. In the near core region of
the KK-monopoles, the exact supergravity solution corresponding to each of
these configurations is obtained. Then we argue the compactified 10-dimensional
systems and suggest a way of unambiguous identification of branes in this
background. Here the location of Dirac string type singularity accompanied by
the D6-branes plays an important role. The method is essentially the same as
that of (p,q)5-branes or (p,q)-strings within the 7-brane background in the IIB
theory. We also argue the phenomena of D4-brane creation from D6-branes.
|
[
{
"created": "Mon, 27 Mar 2000 10:00:27 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Asano",
"Masako",
""
]
] |
We study the properties of branes in supergravity theory. We investigate a class of systems consisting of an M5-brane in the Kaluza-Klein monopole background with 1/4 supersymmetry in 11-dimensions. In the near core region of the KK-monopoles, the exact supergravity solution corresponding to each of these configurations is obtained. Then we argue the compactified 10-dimensional systems and suggest a way of unambiguous identification of branes in this background. Here the location of Dirac string type singularity accompanied by the D6-branes plays an important role. The method is essentially the same as that of (p,q)5-branes or (p,q)-strings within the 7-brane background in the IIB theory. We also argue the phenomena of D4-brane creation from D6-branes.
|
hep-th/0703132
|
Felipe J. Llanes-Estrada
|
Antonio Dobado and Felipe J. Llanes-Estrada (U. Complutense Madrid)
|
On the violation of the holographic viscosity versus entropy KSS bound
in non relativistic systems
|
6 pages, 4 figures
|
Eur.Phys.J.C51:913-918,2007
|
10.1140/epjc/s10052-007-0332-5
| null |
hep-th cond-mat.stat-mech
| null |
A computation of the quotient of shear viscosity to entropy density, or KSS
number $\eta/s$ is performed, in the non-relativistic and classical regime,
first in Chiral Perturbation Theory, and then in the $SO(g+1)/SO(g)$ Non-Linear
Sigma Model in the large $g$ limit. Both are field theories stemming from a
renormalizable Sigma Model but in spite of that, we explicitly calculate how
one undercomes the KSS bound by increasing the number of degenerate pions
sufficiently. However we argue that particle production could still keep the
validity of the KSS bound in the weak sense. We also show how a large number of
molecular isomers (that we estimate in terms of simple molecular properties)
could undercome the bound in the strong sense. This might be possible with
carbon-based molecules. We finally argue that a measurement of $\eta/s$ in
Heavy Ion Collisions might be turned into an upper bound on the number of
hadron resonances.
|
[
{
"created": "Wed, 14 Mar 2007 16:42:44 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Apr 2007 07:49:51 GMT",
"version": "v2"
},
{
"created": "Wed, 16 May 2007 12:47:36 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Dobado",
"Antonio",
"",
"U. Complutense Madrid"
],
[
"Llanes-Estrada",
"Felipe J.",
"",
"U. Complutense Madrid"
]
] |
A computation of the quotient of shear viscosity to entropy density, or KSS number $\eta/s$ is performed, in the non-relativistic and classical regime, first in Chiral Perturbation Theory, and then in the $SO(g+1)/SO(g)$ Non-Linear Sigma Model in the large $g$ limit. Both are field theories stemming from a renormalizable Sigma Model but in spite of that, we explicitly calculate how one undercomes the KSS bound by increasing the number of degenerate pions sufficiently. However we argue that particle production could still keep the validity of the KSS bound in the weak sense. We also show how a large number of molecular isomers (that we estimate in terms of simple molecular properties) could undercome the bound in the strong sense. This might be possible with carbon-based molecules. We finally argue that a measurement of $\eta/s$ in Heavy Ion Collisions might be turned into an upper bound on the number of hadron resonances.
|
hep-th/0403052
|
Stephen D. H. Hsu
|
Stephen D.H. Hsu
|
Entropy Bounds and Dark Energy
|
6 pages, Latex. Added discussion of non-cosmological limits on
holographic dark energy. Version to appear in Physics Letters B
|
Phys.Lett.B594:13-16,2004
|
10.1016/j.physletb.2004.05.020
| null |
hep-th astro-ph gr-qc hep-ph
| null |
Entropy bounds render quantum corrections to the cosmological constant
$\Lambda$ finite. Under certain assumptions, the natural value of $\Lambda$ is
of order the observed dark energy density $\sim 10^{-10} {\rm eV}^4$, thereby
resolving the cosmological constant problem. We note that the dark energy
equation of state in these scenarios is $w \equiv p / \rho = 0$ over
cosmological distances, and is strongly disfavored by observational data.
Alternatively, $\Lambda$ in these scenarios might account for the diffuse dark
matter component of the cosmological energy density.
|
[
{
"created": "Wed, 3 Mar 2004 22:48:00 GMT",
"version": "v1"
},
{
"created": "Wed, 5 May 2004 17:12:33 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Hsu",
"Stephen D. H.",
""
]
] |
Entropy bounds render quantum corrections to the cosmological constant $\Lambda$ finite. Under certain assumptions, the natural value of $\Lambda$ is of order the observed dark energy density $\sim 10^{-10} {\rm eV}^4$, thereby resolving the cosmological constant problem. We note that the dark energy equation of state in these scenarios is $w \equiv p / \rho = 0$ over cosmological distances, and is strongly disfavored by observational data. Alternatively, $\Lambda$ in these scenarios might account for the diffuse dark matter component of the cosmological energy density.
|
1608.06284
|
Jihwan Oh
|
Chi-Ming Chang, Ori Ganor, Jihwan Oh
|
An Index for Ray Operators in 5d $E_n$ SCFTs
|
44 pages, 2 figures
| null |
10.1007/JHEP02(2017)018
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct an index for BPS operators supported on a ray in five
dimensional superconformal field theories with exceptional global symmetries.
We compute the $E_n$ representations (for $n=2,\dots,7$) of operators of low
spin, thus verifying that while the expression for the index is only
SO$(2n-2)\times$U(1) invariant, the index itself exhibits the full $E_n$
symmetry (at least up to the order we expanded). The ray operators we studied
in 5d can be viewed as generalizations of operators constructed in a Yang-Mills
theory with fundamental matter by attaching an open Wilson line to a quark. For
$n\le 7$, in contrast to local operators, they carry nontrivial charge under
the $\mathbb{Z}_{9-n}\subset E_n$ center of the global symmetry. The
representations that appear in the ray operator index are therefore different,
for $n\le 7$, from those appearing in the previously computed superconformal
index. For $3\le n\le 7$, we find that the leading term in the index is a
character of a minuscule representation of $E_n$. We also discuss the case
$n=8$, which presents a unique technical challenge, and remains an open
problem.
|
[
{
"created": "Mon, 22 Aug 2016 20:00:01 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Sep 2016 20:49:20 GMT",
"version": "v2"
}
] |
2017-03-08
|
[
[
"Chang",
"Chi-Ming",
""
],
[
"Ganor",
"Ori",
""
],
[
"Oh",
"Jihwan",
""
]
] |
We construct an index for BPS operators supported on a ray in five dimensional superconformal field theories with exceptional global symmetries. We compute the $E_n$ representations (for $n=2,\dots,7$) of operators of low spin, thus verifying that while the expression for the index is only SO$(2n-2)\times$U(1) invariant, the index itself exhibits the full $E_n$ symmetry (at least up to the order we expanded). The ray operators we studied in 5d can be viewed as generalizations of operators constructed in a Yang-Mills theory with fundamental matter by attaching an open Wilson line to a quark. For $n\le 7$, in contrast to local operators, they carry nontrivial charge under the $\mathbb{Z}_{9-n}\subset E_n$ center of the global symmetry. The representations that appear in the ray operator index are therefore different, for $n\le 7$, from those appearing in the previously computed superconformal index. For $3\le n\le 7$, we find that the leading term in the index is a character of a minuscule representation of $E_n$. We also discuss the case $n=8$, which presents a unique technical challenge, and remains an open problem.
|
hep-th/9710062
|
Gerald Dunne
|
Gerald Dunne and Theodore M. Hall
|
An Exact QED_{3+1} Effective Action
|
7 pages, Latex, no figures
|
Phys.Lett. B419 (1998) 322-325
|
10.1016/S0370-2693(97)01429-9
| null |
hep-th
| null |
We compute the exact QED_{3+1} effective action for fermions in the presence
of a family of static but spatially inhomogeneous magnetic field profiles. An
asymptotic expansion of this exact effective action yields an all-orders
derivative expansion, the first terms of which agree with independent
derivative expansion computations. These results generalize analogous earlier
results by Cangemi et al in QED_{2+1}.
|
[
{
"created": "Tue, 7 Oct 1997 19:06:23 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Dunne",
"Gerald",
""
],
[
"Hall",
"Theodore M.",
""
]
] |
We compute the exact QED_{3+1} effective action for fermions in the presence of a family of static but spatially inhomogeneous magnetic field profiles. An asymptotic expansion of this exact effective action yields an all-orders derivative expansion, the first terms of which agree with independent derivative expansion computations. These results generalize analogous earlier results by Cangemi et al in QED_{2+1}.
|
hep-th/9704066
|
Wang Pei
|
Pei Wang, Liu Zhao (IMP-NWU, Xian)
|
Nonelectromagnetic duality in twisted N=4 model
|
LaTeX, 14 pages
| null | null | null |
hep-th
| null |
In this paper we discuss the possible existing correlation functions in the
N=4 topological model. Due to the distinguished feature that no anomaly exists
in N=4 supersymmetric theories, the positive-negative ghost number balance has
to be taken into account while considering the correlation functions. On
restriction to Kahler manifolds we may find a perturbative mass term which
breaks the N=4 supersymmetry down to N=1. In all of these, a nonelectromagnetic
duality plays an important role. Moreover, to get a computable generating
functional the existence of a proper vanishing theorem is required.
|
[
{
"created": "Wed, 9 Apr 1997 16:12:05 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Wang",
"Pei",
"",
"IMP-NWU, Xian"
],
[
"Zhao",
"Liu",
"",
"IMP-NWU, Xian"
]
] |
In this paper we discuss the possible existing correlation functions in the N=4 topological model. Due to the distinguished feature that no anomaly exists in N=4 supersymmetric theories, the positive-negative ghost number balance has to be taken into account while considering the correlation functions. On restriction to Kahler manifolds we may find a perturbative mass term which breaks the N=4 supersymmetry down to N=1. In all of these, a nonelectromagnetic duality plays an important role. Moreover, to get a computable generating functional the existence of a proper vanishing theorem is required.
|
1108.4321
|
V. Didenko
|
V. E. Didenko
|
Coordinate independent approach to 5d black holes
|
24 pages, no figures, replaced with the journal version
| null |
10.1088/0264-9381/29/2/025009
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Five-dimensional generalization of (A)dS(5)-Kerr black hole is shown to be
generated in a coordinate free way by a single AdS(5) global symmetry
parameter. Its mass and angular momenta are associated to Casimir invariants of
the background space-time symmetry parameter leading to the black hole
classification scheme similar to that of relativistic fields resulting apart
from ordinary black hole to "tachyonic" and "light-like" ones.
|
[
{
"created": "Fri, 19 Aug 2011 09:13:18 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Dec 2011 11:27:37 GMT",
"version": "v2"
}
] |
2015-05-30
|
[
[
"Didenko",
"V. E.",
""
]
] |
Five-dimensional generalization of (A)dS(5)-Kerr black hole is shown to be generated in a coordinate free way by a single AdS(5) global symmetry parameter. Its mass and angular momenta are associated to Casimir invariants of the background space-time symmetry parameter leading to the black hole classification scheme similar to that of relativistic fields resulting apart from ordinary black hole to "tachyonic" and "light-like" ones.
|
1506.06192
|
Jia-ju Zhang
|
Hao Ouyang, Jun-Bao Wu and Jia-ju Zhang
|
Supersymmetric Wilson loops in N=4 super Chern-Simons-matter theory
|
V1, 35 pages; V2, 36 pages, references added; V3, 36 pages, typos
corrected, more or less published version
|
JHEP 1511 (2015) 213
|
10.1007/JHEP11(2015)213
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the supersymmetric Wilson loops in $d=3$ $\mathcal{N}=4$ super
Chern-Simons-matter theory obtained from non-chiral orbifold of ABJM theory. We
work in both Minkowski spacetime and Euclidean space, and we construct 1/4 and
1/2 BPS Wilson loops. We also provide a complete proof that the difference
between 1/4 and 1/2 Wilson loops is $Q$-exact with $Q$ being some supercharge
that is preserved by both the 1/4 and 1/2 Wilson loops. This plays an important
role in applying the localization techniques to compute the vacuum expectation
values of Wilson loops. We also study the M-theory dual of the 1/2 BPS circular
Wilson loop.
|
[
{
"created": "Sat, 20 Jun 2015 02:16:06 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Jul 2015 02:08:50 GMT",
"version": "v2"
},
{
"created": "Thu, 3 Dec 2015 12:56:14 GMT",
"version": "v3"
}
] |
2015-12-04
|
[
[
"Ouyang",
"Hao",
""
],
[
"Wu",
"Jun-Bao",
""
],
[
"Zhang",
"Jia-ju",
""
]
] |
We investigate the supersymmetric Wilson loops in $d=3$ $\mathcal{N}=4$ super Chern-Simons-matter theory obtained from non-chiral orbifold of ABJM theory. We work in both Minkowski spacetime and Euclidean space, and we construct 1/4 and 1/2 BPS Wilson loops. We also provide a complete proof that the difference between 1/4 and 1/2 Wilson loops is $Q$-exact with $Q$ being some supercharge that is preserved by both the 1/4 and 1/2 Wilson loops. This plays an important role in applying the localization techniques to compute the vacuum expectation values of Wilson loops. We also study the M-theory dual of the 1/2 BPS circular Wilson loop.
|
hep-th/9712113
|
K. Scharnhorst
|
K. Scharnhorst (Humboldt University Berlin)
|
A special irreducible matrix representation of the real Clifford algebra
C(3,1)
|
23 pages LaTeX, to appear in the J. Math. Phys. (v2: appendix B on
Pauli matrices and references are added, minor other changes)
|
J.Math.Phys.40:3616-3631,1999
|
10.1063/1.532912
|
HUB-EP-97/83
|
hep-th math-ph math.MP
| null |
4x4 Dirac (gamma) matrices (irreducible matrix representations of the
Clifford algebras C(3,1), C(1,3), C(4,0)) are an essential part of many
calculations in quantum physics. Although the final physical results do not
depend on the applied representation of the Dirac matrices (e.g. due to the
invariance of traces of products of Dirac matrices), the appropriate choice of
the representation used may facilitate the analysis. The present paper
introduces a particularly symmetric real representation of 4x4 Dirac matrices
(Majorana representation) which may prove useful in the future. As a byproduct,
a compact formula for (transformed) Pauli matrices is found. The consideration
is based on the role played by isoclinic 2-planes in the geometry of the real
Clifford algebra C(3,0) which provide an invariant geometric frame for it. It
can be generalized to larger Clifford algebras.
|
[
{
"created": "Thu, 11 Dec 1997 10:11:59 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Nov 1998 14:46:32 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Scharnhorst",
"K.",
"",
"Humboldt University Berlin"
]
] |
4x4 Dirac (gamma) matrices (irreducible matrix representations of the Clifford algebras C(3,1), C(1,3), C(4,0)) are an essential part of many calculations in quantum physics. Although the final physical results do not depend on the applied representation of the Dirac matrices (e.g. due to the invariance of traces of products of Dirac matrices), the appropriate choice of the representation used may facilitate the analysis. The present paper introduces a particularly symmetric real representation of 4x4 Dirac matrices (Majorana representation) which may prove useful in the future. As a byproduct, a compact formula for (transformed) Pauli matrices is found. The consideration is based on the role played by isoclinic 2-planes in the geometry of the real Clifford algebra C(3,0) which provide an invariant geometric frame for it. It can be generalized to larger Clifford algebras.
|
hep-th/0107067
|
Yihong Gao
|
Yi-hong Gao
|
Symmetries, Matrices, and de Sitter Gravity
|
38 pages, no figures
| null | null | null |
hep-th
| null |
Using simple algebraic methods along with an analogy to the BFSS model, we
explore the possible (target) spacetime symmetries that may appear in a matrix
description of de Sitter gravity. Such symmetry groups could arise in two ways,
one from an ``IMF'' like construction and the other from a ``DLCQ'' like
construction. In contrast to the flat space case, we show that the two
constructions will lead to different groups, i.e. the Newton-Hooke group and
the inhomogeneous Euclidean group (or its algebraic cousins). It is argued that
matrix quantum mechanics based on the former symmetries look more plausible.
Then, after giving a detailed description of the relevant one particle
dynamics, a concrete Newton-Hooke matrix model is proposed. The model naturally
incorporates issues such as holography, UV-IR relations, and fuzziness, for
gravity in $dS_{4}$. We also provide evidence to support a possible phase
transition. The lower temperature phase, which corresponds to gravity in the
perturbative regime, has a Hilbert space of infinite dimension. In the higher
temperature phase where the perturbation theory breaks down, the dimension of
the Hilbert space may become finite.
|
[
{
"created": "Mon, 9 Jul 2001 10:12:56 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Gao",
"Yi-hong",
""
]
] |
Using simple algebraic methods along with an analogy to the BFSS model, we explore the possible (target) spacetime symmetries that may appear in a matrix description of de Sitter gravity. Such symmetry groups could arise in two ways, one from an ``IMF'' like construction and the other from a ``DLCQ'' like construction. In contrast to the flat space case, we show that the two constructions will lead to different groups, i.e. the Newton-Hooke group and the inhomogeneous Euclidean group (or its algebraic cousins). It is argued that matrix quantum mechanics based on the former symmetries look more plausible. Then, after giving a detailed description of the relevant one particle dynamics, a concrete Newton-Hooke matrix model is proposed. The model naturally incorporates issues such as holography, UV-IR relations, and fuzziness, for gravity in $dS_{4}$. We also provide evidence to support a possible phase transition. The lower temperature phase, which corresponds to gravity in the perturbative regime, has a Hilbert space of infinite dimension. In the higher temperature phase where the perturbation theory breaks down, the dimension of the Hilbert space may become finite.
|
0807.2685
|
Chongoh Lee
|
Chong OH Lee
|
Cardy-Verlinde Formula in Taub-NUT/Bolt-(A)dS space
|
Revtex4, 5 pages, typos corrected, version to appear in PLB
|
Phys.Lett.B670:146-149,2008
|
10.1016/j.physletb.2008.10.042
| null |
hep-th
|
http://creativecommons.org/licenses/publicdomain/
|
We consider a finite action for a higher dimensional Taub-NUT/Bolt-(A)dS
space via the so-called counter term subtraction method. In the limit of high
temperature, we show that the Cardy-Verlinde formula holds for the
Taub-Bolt-AdS metric and for the specific dimensional Taub-NUT-(A)dS metric,
except for the Taub-Bolt-dS metric.
|
[
{
"created": "Thu, 17 Jul 2008 02:28:59 GMT",
"version": "v1"
},
{
"created": "Thu, 31 Jul 2008 01:51:24 GMT",
"version": "v2"
},
{
"created": "Fri, 14 Nov 2008 07:05:43 GMT",
"version": "v3"
}
] |
2008-12-18
|
[
[
"Lee",
"Chong OH",
""
]
] |
We consider a finite action for a higher dimensional Taub-NUT/Bolt-(A)dS space via the so-called counter term subtraction method. In the limit of high temperature, we show that the Cardy-Verlinde formula holds for the Taub-Bolt-AdS metric and for the specific dimensional Taub-NUT-(A)dS metric, except for the Taub-Bolt-dS metric.
|
hep-th/9802184
|
Kimball A. Milton
|
Carl M. Bender and Kimball A. Milton
|
Massless quantum electrodynamics with a critical point
|
REVTeX, 6 pages, no figures
| null | null |
WUHEP/98-19
|
hep-th
| null |
Recently, it has been observed that a quantum field theory need not be
Hermitian to have a real, positive spectrum. What seems to be required is
symmetry under combined parity and time-reversal transformations. This idea is
extended to massless electrodynamics, in which the photon couples to the
axial-vector current with an imaginary coupling constant. The eigenvalue
condition necessary for the finiteness of the theory can now be solved; the
value for the charge appears to be stable order-by-order. Similarly, the
semiclassical Casimir model for the fine-structure constant yields a positive
value.
|
[
{
"created": "Thu, 26 Feb 1998 01:53:46 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Bender",
"Carl M.",
""
],
[
"Milton",
"Kimball A.",
""
]
] |
Recently, it has been observed that a quantum field theory need not be Hermitian to have a real, positive spectrum. What seems to be required is symmetry under combined parity and time-reversal transformations. This idea is extended to massless electrodynamics, in which the photon couples to the axial-vector current with an imaginary coupling constant. The eigenvalue condition necessary for the finiteness of the theory can now be solved; the value for the charge appears to be stable order-by-order. Similarly, the semiclassical Casimir model for the fine-structure constant yields a positive value.
|
2007.01532
|
Dongmin Gang
|
Gil Young Cho, Dongmin Gang and Hee-Cheol Kim
|
M-theoretic Genesis of Topological Phases
|
29 pages, 1 figure
| null |
10.1007/JHEP11(2020)115
| null |
hep-th cond-mat.str-el math.GT
|
http://creativecommons.org/publicdomain/zero/1.0/
|
We present a novel M-theoretic approach of constructing and classifying
anyonic topological phases of matter, by establishing a correspondence between
(2+1)d topological field theories and non-hyperbolic 3-manifolds. In this
construction, the topological phases emerge as macroscopic world-volume
theories of M5-branes wrapped around certain types of non-hyperbolic
3-manifolds. We devise a systematic algorithm for identifying the emergent
topological phases from topological data of the internal wrapped 3-manifolds.
As a benchmark of our approach, we reproduce all the known unitary bosonic
topological orders up to rank 4. Remarkably, our construction is not restricted
to an unitary bosonic theory but it can also generate fermionic and/or
non-unitary topological phases in an equivalent fashion. Hence, we pave a new
route toward the classification of topological phases of matter.
|
[
{
"created": "Fri, 3 Jul 2020 07:46:48 GMT",
"version": "v1"
}
] |
2020-12-30
|
[
[
"Cho",
"Gil Young",
""
],
[
"Gang",
"Dongmin",
""
],
[
"Kim",
"Hee-Cheol",
""
]
] |
We present a novel M-theoretic approach of constructing and classifying anyonic topological phases of matter, by establishing a correspondence between (2+1)d topological field theories and non-hyperbolic 3-manifolds. In this construction, the topological phases emerge as macroscopic world-volume theories of M5-branes wrapped around certain types of non-hyperbolic 3-manifolds. We devise a systematic algorithm for identifying the emergent topological phases from topological data of the internal wrapped 3-manifolds. As a benchmark of our approach, we reproduce all the known unitary bosonic topological orders up to rank 4. Remarkably, our construction is not restricted to an unitary bosonic theory but it can also generate fermionic and/or non-unitary topological phases in an equivalent fashion. Hence, we pave a new route toward the classification of topological phases of matter.
|
1412.7546
|
Hal Haggard
|
Hal M. Haggard, Muxin Han, Wojciech Kami\'nski, and Aldo Riello
|
SL(2,C) Chern-Simons Theory, a non-Planar Graph Operator, and 4D Loop
Quantum Gravity with a Cosmological Constant: Semiclassical Geometry
|
54+11 pages, 9 figures
|
Nucl. Phys. B 900, 1 (2015)
|
10.1016/j.nuclphysb.2015.08.023
| null |
hep-th gr-qc math-ph math.GT math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the expectation value of a nonplanar Wilson graph operator in
SL(2,C) Chern-Simons theory on $S^3$. In particular we analyze its asymptotic
behaviour in the double-scaling limit in which both the representation labels
and the Chern-Simons coupling are taken to be large, but with fixed ratio. When
the Wilson graph operator has a specific form, motivated by loop quantum
gravity, the critical point equations obtained in this double-scaling limit
describe a very specific class of flat connection on the graph complement
manifold. We find that flat connections in this class are in correspondence
with the geometries of constant curvature 4-simplices. The result is fully
non-perturbative from the perspective of the reconstructed geometry. We also
show that the asymptotic behavior of the amplitude contains at the leading
order an oscillatory part proportional to the Regge action for the single
4-simplex in the presence of a cosmological constant. In particular, the
cosmological term contains the full-fledged curved volume of the 4-simplex.
Interestingly, the volume term stems from the asymptotics of the Chern-Simons
action. This can be understood as arising from the relation between
Chern-Simons theory on the boundary of a region, and a theory defined by an
$F^2$ action in the bulk. Another peculiarity of our approach is that the sign
of the curvature of the reconstructed geometry, and hence of the cosmological
constant in the Regge action, is not fixed a priori, but rather emerges
semiclassically and dynamically from the solution of the equations of motion.
In other words, this work suggests a relation between 4-dimensional loop
quantum gravity with a cosmological constant and SL(2,C) Chern-Simons theory in
3-dimensions with knotted graph defects.
|
[
{
"created": "Tue, 23 Dec 2014 21:08:46 GMT",
"version": "v1"
}
] |
2015-12-10
|
[
[
"Haggard",
"Hal M.",
""
],
[
"Han",
"Muxin",
""
],
[
"Kamiński",
"Wojciech",
""
],
[
"Riello",
"Aldo",
""
]
] |
We study the expectation value of a nonplanar Wilson graph operator in SL(2,C) Chern-Simons theory on $S^3$. In particular we analyze its asymptotic behaviour in the double-scaling limit in which both the representation labels and the Chern-Simons coupling are taken to be large, but with fixed ratio. When the Wilson graph operator has a specific form, motivated by loop quantum gravity, the critical point equations obtained in this double-scaling limit describe a very specific class of flat connection on the graph complement manifold. We find that flat connections in this class are in correspondence with the geometries of constant curvature 4-simplices. The result is fully non-perturbative from the perspective of the reconstructed geometry. We also show that the asymptotic behavior of the amplitude contains at the leading order an oscillatory part proportional to the Regge action for the single 4-simplex in the presence of a cosmological constant. In particular, the cosmological term contains the full-fledged curved volume of the 4-simplex. Interestingly, the volume term stems from the asymptotics of the Chern-Simons action. This can be understood as arising from the relation between Chern-Simons theory on the boundary of a region, and a theory defined by an $F^2$ action in the bulk. Another peculiarity of our approach is that the sign of the curvature of the reconstructed geometry, and hence of the cosmological constant in the Regge action, is not fixed a priori, but rather emerges semiclassically and dynamically from the solution of the equations of motion. In other words, this work suggests a relation between 4-dimensional loop quantum gravity with a cosmological constant and SL(2,C) Chern-Simons theory in 3-dimensions with knotted graph defects.
|
hep-th/9905079
|
Henrik Aratyn
|
H. Aratyn, L.A. Ferreira and A.H. Zimerman
|
Exact static soliton solutions of 3+1 dimensional integrable theory with
nonzero Hopf numbers
|
LaTeX, 7 pgs
|
Phys.Rev.Lett. 83 (1999) 1723-1726
|
10.1103/PhysRevLett.83.1723
| null |
hep-th math-ph math.MP nlin.SI solv-int
| null |
In this paper we construct explicitly an infinite number of Hopfions (static,
soliton solutions with non-zero Hopf topological charges) within the recently
proposed 3+1-dimensional, integrable and relativistically invariant field
theory. Two integers label the family of Hopfions we have found. Their product
is equal to the Hopf charge which provides a lower bound to the soliton's
finite energy. The Hopfions are constructed explicitly in terms of the toroidal
coordinates and shown to have a form of linked closed vortices.
|
[
{
"created": "Tue, 11 May 1999 21:04:28 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Aratyn",
"H.",
""
],
[
"Ferreira",
"L. A.",
""
],
[
"Zimerman",
"A. H.",
""
]
] |
In this paper we construct explicitly an infinite number of Hopfions (static, soliton solutions with non-zero Hopf topological charges) within the recently proposed 3+1-dimensional, integrable and relativistically invariant field theory. Two integers label the family of Hopfions we have found. Their product is equal to the Hopf charge which provides a lower bound to the soliton's finite energy. The Hopfions are constructed explicitly in terms of the toroidal coordinates and shown to have a form of linked closed vortices.
|
1106.0279
|
Domenico Orlando
|
Simeon Hellerman, Domenico Orlando and Susanne Reffert
|
String theory of the Omega deformation
|
36 pages. References added, brane construction clarified, edited for
style
| null |
10.1007/JHEP01(2012)148
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this article, we construct a supersymmetric real mass deformation for the
adjoint chiral multiplets in the gauge theory describing the dynamics of a
stack of D2-branes in type II string theory. We do so by placing the D2-branes
into the T-dual of a supersymmetric NS fluxbrane background. We furthermore
note that this background is the string theoretic realization of an
Omega-deformation of flat space in the directions transverse to the branes
where the deformation parameters satisfy \epsilon_1 = - \epsilon_2. This
\Omega-deformation therefore serves to give supersymmetric real masses to the
chiral multiplets of the 3D gauge theory. To illustrate the physical effect of
the real mass term, we derive BPS-saturated classical solutions for the branes
rotating in this background. Finally, we reproduce all the same structure in
the presence of NS fivebranes and comment on the relationship to the gauge
theory/spin-chain correspondence of Nekrasov and Shatashvili.
|
[
{
"created": "Wed, 1 Jun 2011 18:41:17 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Jun 2011 09:17:56 GMT",
"version": "v2"
},
{
"created": "Mon, 23 Jan 2012 13:19:24 GMT",
"version": "v3"
}
] |
2015-05-28
|
[
[
"Hellerman",
"Simeon",
""
],
[
"Orlando",
"Domenico",
""
],
[
"Reffert",
"Susanne",
""
]
] |
In this article, we construct a supersymmetric real mass deformation for the adjoint chiral multiplets in the gauge theory describing the dynamics of a stack of D2-branes in type II string theory. We do so by placing the D2-branes into the T-dual of a supersymmetric NS fluxbrane background. We furthermore note that this background is the string theoretic realization of an Omega-deformation of flat space in the directions transverse to the branes where the deformation parameters satisfy \epsilon_1 = - \epsilon_2. This \Omega-deformation therefore serves to give supersymmetric real masses to the chiral multiplets of the 3D gauge theory. To illustrate the physical effect of the real mass term, we derive BPS-saturated classical solutions for the branes rotating in this background. Finally, we reproduce all the same structure in the presence of NS fivebranes and comment on the relationship to the gauge theory/spin-chain correspondence of Nekrasov and Shatashvili.
|
0807.1314
|
Nabamita Banerjee
|
Nabamita Banerjee
|
Subleading Correction to Statistical Entropy for BMPV Black Hole
|
0+11 pages, V2, one section added, typos corrected
|
Phys.Rev.D79:081501,2009
|
10.1103/PhysRevD.79.081501
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study higher derivative corrections to the statistical entropy function
and the statistical entropy for five dimensional BMPV black holes by doing the
asymptotic expansion of the partition function. This enables us to evaluate
entropy for a large range of charges, even out of Cardy (Farey tail) limit.
|
[
{
"created": "Tue, 8 Jul 2008 19:07:31 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Sep 2008 19:01:40 GMT",
"version": "v2"
}
] |
2009-11-06
|
[
[
"Banerjee",
"Nabamita",
""
]
] |
We study higher derivative corrections to the statistical entropy function and the statistical entropy for five dimensional BMPV black holes by doing the asymptotic expansion of the partition function. This enables us to evaluate entropy for a large range of charges, even out of Cardy (Farey tail) limit.
|
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