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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1507.08912
|
Peter West
|
Alexander G. Tumanov and Peter West
|
E11 and exceptional field theory
|
39 pages
| null |
10.1142/S0217751X16500664
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We demonstrate that exceptional field theory is a truncation of the
non-linear realisation of the semi-direct product of E11 and its first
fundamental as proposed in 2003. Evaluating the simple equations of the E11
approach, and using the commutators of the E11 algebra, we find the equations
of exceptional field theory after making a radical truncation. This procedure
does not respect any of the higher level E11 symmetries and so these are lost.
We suggest that the need for the section condition in exceptional field theory
could be a consequence of the truncation.
|
[
{
"created": "Fri, 31 Jul 2015 15:25:32 GMT",
"version": "v1"
}
] |
2016-05-25
|
[
[
"Tumanov",
"Alexander G.",
""
],
[
"West",
"Peter",
""
]
] |
We demonstrate that exceptional field theory is a truncation of the non-linear realisation of the semi-direct product of E11 and its first fundamental as proposed in 2003. Evaluating the simple equations of the E11 approach, and using the commutators of the E11 algebra, we find the equations of exceptional field theory after making a radical truncation. This procedure does not respect any of the higher level E11 symmetries and so these are lost. We suggest that the need for the section condition in exceptional field theory could be a consequence of the truncation.
|
1008.2828
|
Sean A. Hartnoll
|
Sean A. Hartnoll and Alireza Tavanfar
|
Electron stars for holographic metallic criticality
|
1+28 pages. LaTeX. 4 figures. v2 reference added, typos fixed
|
Phys.Rev.D83:046003,2011
|
10.1103/PhysRevD.83.046003
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We refer to the ground state of a gravitating, charged ideal fluid of
fermions held at a finite chemical potential as an `electron star'. In a
holographic setting, electron stars are candidate gravity duals for strongly
interacting finite fermion density systems. We show how electron stars develop
an emergent Lifshitz scaling at low energies. This IR scaling region is a
consequence of the two way interaction between emergent quantum critical
bosonic modes and the finite density of fermions. By integrating from the IR
region to an asymptotically AdS_4 spacetime, we compute basic properties of the
electron stars, including their electrical conductivity. We emphasize the
challenge of connecting UV and IR physics in strongly interacting finite
density systems.
|
[
{
"created": "Tue, 17 Aug 2010 06:17:44 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Jan 2011 03:07:26 GMT",
"version": "v2"
}
] |
2011-02-18
|
[
[
"Hartnoll",
"Sean A.",
""
],
[
"Tavanfar",
"Alireza",
""
]
] |
We refer to the ground state of a gravitating, charged ideal fluid of fermions held at a finite chemical potential as an `electron star'. In a holographic setting, electron stars are candidate gravity duals for strongly interacting finite fermion density systems. We show how electron stars develop an emergent Lifshitz scaling at low energies. This IR scaling region is a consequence of the two way interaction between emergent quantum critical bosonic modes and the finite density of fermions. By integrating from the IR region to an asymptotically AdS_4 spacetime, we compute basic properties of the electron stars, including their electrical conductivity. We emphasize the challenge of connecting UV and IR physics in strongly interacting finite density systems.
|
hep-th/0105294
|
Mark Walton
|
J{\o}rgen Rasmussen, Mark A. Walton
|
On the level-dependence of Wess-Zumino-Witten three-point functions
|
24 pages, no figures
|
Nucl.Phys.B616:517-536,2001
|
10.1016/S0550-3213(01)00337-6
| null |
hep-th math-ph math.MP
| null |
Three-point functions of Wess-Zumino-Witten models are investigated. In
particular, we study the level-dependence of three-point functions in the
models based on algebras $su(3)$ and $su(4)$. We find a correspondence with
Berenstein-Zelevinsky triangles. Using previous work connecting those triangles
to the fusion multiplicities, and the Gepner-Witten depth rule, we explain how
to construct the full three-point functions. We show how their level-dependence
is similar to that of the related fusion multiplicity. For example, the concept
of threshold level plays a prominent role, as it does for fusion.
|
[
{
"created": "Tue, 29 May 2001 17:01:01 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Sep 2001 00:33:56 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Rasmussen",
"Jørgen",
""
],
[
"Walton",
"Mark A.",
""
]
] |
Three-point functions of Wess-Zumino-Witten models are investigated. In particular, we study the level-dependence of three-point functions in the models based on algebras $su(3)$ and $su(4)$. We find a correspondence with Berenstein-Zelevinsky triangles. Using previous work connecting those triangles to the fusion multiplicities, and the Gepner-Witten depth rule, we explain how to construct the full three-point functions. We show how their level-dependence is similar to that of the related fusion multiplicity. For example, the concept of threshold level plays a prominent role, as it does for fusion.
|
0802.1947
|
Itzhak Bars
|
Itzhak Bars and Guillaume Quelin
|
Dualities among 1T-Field Theories with Spin, Emerging from a Unifying
2T-Field Theory
|
33 pages, LaTeX
|
Phys.Rev.D77:125019,2008
|
10.1103/PhysRevD.77.125019
|
USC-08/HEP-B1
|
hep-th
| null |
The relation between two time physics (2T-physics) and the ordinary one time
formulation of physics (1T-physics) is similar to the relation between a
3-dimensional object moving in a room and its multiple shadows moving on walls
when projected from different perspectives. The multiple shadows as seen by
observers stuck on the wall are analogous to the effects of the 2T-universe as
experienced in ordinary 1T spacetime. In this paper we develop some of the
quantitative aspects of this 2T to 1T relationship in the context of field
theory. We discuss 2T field theory in d+2 dimensions and its shadows in the
form of 1T field theories when the theory contains Klein-Gordon, Dirac and
Yang-Mills fields, such as the Standard Model of particles and forces. We show
that the shadow 1T field theories must have hidden relations among themselves.
These relations take the form of dualities and hidden spacetime symmetries. A
subset of the shadows are 1T field theories in different gravitational
backgrounds (different space-times) such as the flat Minkowski spacetime, the
Robertson-Walker expanding universe, AdS(d-k) x S(k) and others, including
singular ones. We explicitly construct the duality transformations among this
conformally flat subset, and build the generators of their hidden SO(d,2)
symmetry. The existence of such hidden relations among 1T field theories, which
can be tested by both theory and experiment in 1T-physics, is part of the
evidence for the underlying d+2 dimensional spacetime and the unifying
2T-physics structure.
|
[
{
"created": "Thu, 14 Feb 2008 00:10:51 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Feb 2008 23:29:26 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Bars",
"Itzhak",
""
],
[
"Quelin",
"Guillaume",
""
]
] |
The relation between two time physics (2T-physics) and the ordinary one time formulation of physics (1T-physics) is similar to the relation between a 3-dimensional object moving in a room and its multiple shadows moving on walls when projected from different perspectives. The multiple shadows as seen by observers stuck on the wall are analogous to the effects of the 2T-universe as experienced in ordinary 1T spacetime. In this paper we develop some of the quantitative aspects of this 2T to 1T relationship in the context of field theory. We discuss 2T field theory in d+2 dimensions and its shadows in the form of 1T field theories when the theory contains Klein-Gordon, Dirac and Yang-Mills fields, such as the Standard Model of particles and forces. We show that the shadow 1T field theories must have hidden relations among themselves. These relations take the form of dualities and hidden spacetime symmetries. A subset of the shadows are 1T field theories in different gravitational backgrounds (different space-times) such as the flat Minkowski spacetime, the Robertson-Walker expanding universe, AdS(d-k) x S(k) and others, including singular ones. We explicitly construct the duality transformations among this conformally flat subset, and build the generators of their hidden SO(d,2) symmetry. The existence of such hidden relations among 1T field theories, which can be tested by both theory and experiment in 1T-physics, is part of the evidence for the underlying d+2 dimensional spacetime and the unifying 2T-physics structure.
|
1606.02571
|
Hugh Osborn
|
Ian Jack and Hugh Osborn
|
Scheme Dependence and Multiple Couplings
|
11 pages
| null | null |
DAMTP-2016-43
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
For theories with multiple couplings the perturbative $\beta$-functions for
scalar, Yukawa couplings are expressible in terms of contributions
corresponding to one particle irreducible graphs and also contributions which
are one particle reducible depending on the anomalous dimension. Here we
discuss redefinitions, or changes of scheme, which preserve this structure. The
redefinitions allow for IPR contributions of a specific form, as is necessary
to encompass the relation between MS and momentum subtraction renormalisation
schemes. Many multiply 1PR terms in the transformed $\beta$-function are
generated but these can all be absorbed into antisymmetric contributions to the
anomalous dimensions which are essentially arbitrary and can be discarded. As
an illustration the results are applied to the scheme dependence of the
anomalous dimension, which determines the $\beta$-function, for ${\cal N}=1$
supersymmetric scalar fermion theories in four dimensions up to four loops.
|
[
{
"created": "Wed, 8 Jun 2016 14:22:17 GMT",
"version": "v1"
}
] |
2016-06-09
|
[
[
"Jack",
"Ian",
""
],
[
"Osborn",
"Hugh",
""
]
] |
For theories with multiple couplings the perturbative $\beta$-functions for scalar, Yukawa couplings are expressible in terms of contributions corresponding to one particle irreducible graphs and also contributions which are one particle reducible depending on the anomalous dimension. Here we discuss redefinitions, or changes of scheme, which preserve this structure. The redefinitions allow for IPR contributions of a specific form, as is necessary to encompass the relation between MS and momentum subtraction renormalisation schemes. Many multiply 1PR terms in the transformed $\beta$-function are generated but these can all be absorbed into antisymmetric contributions to the anomalous dimensions which are essentially arbitrary and can be discarded. As an illustration the results are applied to the scheme dependence of the anomalous dimension, which determines the $\beta$-function, for ${\cal N}=1$ supersymmetric scalar fermion theories in four dimensions up to four loops.
|
2207.14285
|
Joan Quirant
|
Fernando Marchesano, Joan Quirant and Matteo Zatti
|
New instabilities for non-supersymmetric AdS$_4$ orientifold vacua
|
v2: minor corrections, published version; v1:26 pages + appendices, 2
figures
| null |
10.1007/JHEP10(2022)026
|
IFT-UAM/CSIC-22-77
|
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We consider massive type IIA orientifold compactifications of the form AdS$_4
\times X_6$, where $X_6$ admits a Calabi-Yau metric and is threaded by
background fluxes. From a 4d viewpoint, fluxes generate a potential whose vacua
have been classified, including one $\mathcal{N}=1$ and three perturbatively
stable $\mathcal{N}=0$ branches. We reproduce this result from a 10d viewpoint,
by solving the type IIA equations at the same level of detail as previously
done for the $\mathcal{N}=1$ branch. All solutions exhibit localised sources
and parametric scale separation. We then analyse the non-perturbative stability
of the $\mathcal{N}=0$ branches. We consider new 4d membranes, obtained from
wrapping D8-branes on $X_6$ or D6-branes on its divisors, threaded by
non-diluted worldvolume fluxes. Using them we show that all branches are
compatible with the Weak Gravity Conjecture for membranes. In fact, most vacua
satisfy the sharpened conjecture that predicts superextremal membranes in
$\mathcal{N}=0$ settings, except for a subset whose non-perturbative stability
remains an open problem.
|
[
{
"created": "Thu, 28 Jul 2022 17:59:02 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Sep 2022 13:15:03 GMT",
"version": "v2"
}
] |
2022-10-26
|
[
[
"Marchesano",
"Fernando",
""
],
[
"Quirant",
"Joan",
""
],
[
"Zatti",
"Matteo",
""
]
] |
We consider massive type IIA orientifold compactifications of the form AdS$_4 \times X_6$, where $X_6$ admits a Calabi-Yau metric and is threaded by background fluxes. From a 4d viewpoint, fluxes generate a potential whose vacua have been classified, including one $\mathcal{N}=1$ and three perturbatively stable $\mathcal{N}=0$ branches. We reproduce this result from a 10d viewpoint, by solving the type IIA equations at the same level of detail as previously done for the $\mathcal{N}=1$ branch. All solutions exhibit localised sources and parametric scale separation. We then analyse the non-perturbative stability of the $\mathcal{N}=0$ branches. We consider new 4d membranes, obtained from wrapping D8-branes on $X_6$ or D6-branes on its divisors, threaded by non-diluted worldvolume fluxes. Using them we show that all branches are compatible with the Weak Gravity Conjecture for membranes. In fact, most vacua satisfy the sharpened conjecture that predicts superextremal membranes in $\mathcal{N}=0$ settings, except for a subset whose non-perturbative stability remains an open problem.
|
2103.06721
|
John Roughley
|
Daniel Elander, Maurizio Piai, John Roughley
|
The Coulomb branch of N=4 SYM and dilatonic scions in supergravity
|
20 pages, 9 figures. Version accepted for publication
|
Phys. Rev. D 104, 046003 (2021)
|
10.1103/PhysRevD.104.046003
| null |
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We find a parametrically light dilaton in special confining theories in three
dimensions. Their duals form what we call a scion of solutions to the
supergravity associated with the large-N limit of the Coulomb branch of the N=4
Super-Yang-Mills (SYM) theory. The supergravity description contains one scalar
with bulk mass that saturates the Breitenlohner-Freedman unitarity bound. The
new solutions are defined within supergravity, they break supersymmetry and
scale invariance, and one dimension is compactified on a shrinking circle, yet
they are completely regular. An approximate dilaton appears in the spectrum of
background fluctuations (or composite states in the confining theory), and
becomes parametrically light along a metastable portion of the scion of new
supergravity solutions, in close proximity of a tachyonic instability. A
first-order phase transition separates stable backgrounds, for which the
approximate dilaton is not parametrically light, from metastable and unstable
backgrounds, for which the dilaton becomes parametrically light, and eventually
tachyonic.
|
[
{
"created": "Thu, 11 Mar 2021 15:12:54 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Mar 2021 11:51:09 GMT",
"version": "v2"
},
{
"created": "Fri, 25 Jun 2021 09:15:27 GMT",
"version": "v3"
}
] |
2021-08-11
|
[
[
"Elander",
"Daniel",
""
],
[
"Piai",
"Maurizio",
""
],
[
"Roughley",
"John",
""
]
] |
We find a parametrically light dilaton in special confining theories in three dimensions. Their duals form what we call a scion of solutions to the supergravity associated with the large-N limit of the Coulomb branch of the N=4 Super-Yang-Mills (SYM) theory. The supergravity description contains one scalar with bulk mass that saturates the Breitenlohner-Freedman unitarity bound. The new solutions are defined within supergravity, they break supersymmetry and scale invariance, and one dimension is compactified on a shrinking circle, yet they are completely regular. An approximate dilaton appears in the spectrum of background fluctuations (or composite states in the confining theory), and becomes parametrically light along a metastable portion of the scion of new supergravity solutions, in close proximity of a tachyonic instability. A first-order phase transition separates stable backgrounds, for which the approximate dilaton is not parametrically light, from metastable and unstable backgrounds, for which the dilaton becomes parametrically light, and eventually tachyonic.
|
1412.3457
|
Prashant Saraswat
|
Anton de la Fuente, Prashant Saraswat, Raman Sundrum
|
Natural Inflation and Quantum Gravity
|
References added; minor changes and corrections
|
Phys. Rev. Lett. 114, 151303 (2015)
|
10.1103/PhysRevLett.114.151303
| null |
hep-th astro-ph.CO hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Cosmic Inflation provides an attractive framework for understanding the early
universe and the cosmic microwave background. It can readily involve energies
close to the scale at which Quantum Gravity effects become important. General
considerations of black hole quantum mechanics suggest nontrivial constraints
on any effective field theory model of inflation that emerges as a low-energy
limit of quantum gravity, in particular the constraint of the Weak Gravity
Conjecture. We show that higher-dimensional gauge and gravitational dynamics
can elegantly satisfy these constraints and lead to a viable,
theoretically-controlled and predictive class of Natural Inflation models.
|
[
{
"created": "Wed, 10 Dec 2014 21:00:05 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Jan 2015 21:35:50 GMT",
"version": "v2"
}
] |
2015-04-22
|
[
[
"de la Fuente",
"Anton",
""
],
[
"Saraswat",
"Prashant",
""
],
[
"Sundrum",
"Raman",
""
]
] |
Cosmic Inflation provides an attractive framework for understanding the early universe and the cosmic microwave background. It can readily involve energies close to the scale at which Quantum Gravity effects become important. General considerations of black hole quantum mechanics suggest nontrivial constraints on any effective field theory model of inflation that emerges as a low-energy limit of quantum gravity, in particular the constraint of the Weak Gravity Conjecture. We show that higher-dimensional gauge and gravitational dynamics can elegantly satisfy these constraints and lead to a viable, theoretically-controlled and predictive class of Natural Inflation models.
|
1901.08295
|
Lilian Chabrol
|
Lilian Chabrol
|
Geometry of $\mathbb{R}^{+}\times E_{3(3)}$ Exceptional Field Theory and
F-theory
| null | null |
10.1007/JHEP08(2019)073
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a non trivial solution to the section condition in the context of
$\mathbb{R}^{+}\times E_{3(3)}$ exceptional field theory and show that allowing
fields to depend on the additional stringy coordinates of the extended internal
space permits to describe the monodromies of (p,q) 7-branes in the context of
F-theory. General expressions of non trivial fluxes with associated linear and
quadratic constraints are obtained via a comparison to the embedding tensor of
eight dimensional gauged maximal supergravity with gauged trombone symmetry. We
write an explicit generalised Christoffel symbol for $E_{3(3)}$ EFT and show
that the equations of motion of F-theory, namely the vanishing of a 4
dimensional Ricci tensor with two of its dimensions fibered, can be obtained
from a generalised Ricci tensor and an appropriate type IIB ansatz for the
metric.
|
[
{
"created": "Thu, 24 Jan 2019 09:11:34 GMT",
"version": "v1"
}
] |
2019-09-04
|
[
[
"Chabrol",
"Lilian",
""
]
] |
We consider a non trivial solution to the section condition in the context of $\mathbb{R}^{+}\times E_{3(3)}$ exceptional field theory and show that allowing fields to depend on the additional stringy coordinates of the extended internal space permits to describe the monodromies of (p,q) 7-branes in the context of F-theory. General expressions of non trivial fluxes with associated linear and quadratic constraints are obtained via a comparison to the embedding tensor of eight dimensional gauged maximal supergravity with gauged trombone symmetry. We write an explicit generalised Christoffel symbol for $E_{3(3)}$ EFT and show that the equations of motion of F-theory, namely the vanishing of a 4 dimensional Ricci tensor with two of its dimensions fibered, can be obtained from a generalised Ricci tensor and an appropriate type IIB ansatz for the metric.
|
hep-th/9808075
|
Igor Klebanov
|
Steven S. Gubser and Igor R. Klebanov
|
Baryons and Domain Walls in an N = 1 Superconformal Gauge Theory
|
14 pages, latex; v2: discussion at the end of section 3 modified, the
version to appear in Physical Review D
|
Phys. Rev. D 58, 125025 (1998)
|
10.1103/PhysRevD.58.125025
|
PUPT-1807
|
hep-th
| null |
Coincident D3-branes placed at a conical singularity are related to string
theory on $AdS_5\times X_5$, for a suitable five-dimensional Einstein manifold
$X_5$. For the example of the conifold, which leads to
$X_5=T^{1,1}=(SU(2)\times SU(2))/U(1)$, the infrared limit of the theory on $N$
D3-branes was constructed recently. This is ${\cal N}=1$ supersymmetric
$SU(N)\times SU(N)$ gauge theory coupled to four bifundamental chiral
superfields and supplemented by a quartic superpotential which becomes marginal
in the infrared. In this paper we consider D3-branes wrapped over the 3-cycles
of $T^{1,1}$ and identify them with baryon-like chiral operators built out of
products of $N$ chiral superfields. The supergravity calculation of the
dimensions of such operators agrees with field theory. We also study the
D5-brane wrapped over a 2-cycle of $T^{1,1}$, which acts as a domain wall in
$AdS_5$. We argue that upon crossing it the gauge group changes to $SU(N)\times
SU(N+1)$. This suggests a construction of supergravity duals of ${\cal N}=1$
supersymmetric $SU(N_1)\times SU(N_2)$ gauge theories.
|
[
{
"created": "Wed, 12 Aug 1998 22:02:34 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Sep 1998 20:16:59 GMT",
"version": "v2"
}
] |
2016-08-25
|
[
[
"Gubser",
"Steven S.",
""
],
[
"Klebanov",
"Igor R.",
""
]
] |
Coincident D3-branes placed at a conical singularity are related to string theory on $AdS_5\times X_5$, for a suitable five-dimensional Einstein manifold $X_5$. For the example of the conifold, which leads to $X_5=T^{1,1}=(SU(2)\times SU(2))/U(1)$, the infrared limit of the theory on $N$ D3-branes was constructed recently. This is ${\cal N}=1$ supersymmetric $SU(N)\times SU(N)$ gauge theory coupled to four bifundamental chiral superfields and supplemented by a quartic superpotential which becomes marginal in the infrared. In this paper we consider D3-branes wrapped over the 3-cycles of $T^{1,1}$ and identify them with baryon-like chiral operators built out of products of $N$ chiral superfields. The supergravity calculation of the dimensions of such operators agrees with field theory. We also study the D5-brane wrapped over a 2-cycle of $T^{1,1}$, which acts as a domain wall in $AdS_5$. We argue that upon crossing it the gauge group changes to $SU(N)\times SU(N+1)$. This suggests a construction of supergravity duals of ${\cal N}=1$ supersymmetric $SU(N_1)\times SU(N_2)$ gauge theories.
|
1511.04085
|
Francesco Benini
|
Francesco Benini, Kiril Hristov, Alberto Zaffaroni
|
Black hole microstates in AdS$_4$ from supersymmetric localization
|
35 pages + appendices, 4 figures; v2: refs added
|
JHEP 1605 (2016) 054
|
10.1007/JHEP05(2016)054
|
Imperial/TP/2015/FB/03
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper addresses a long standing problem, the counting of the microstates
of supersymmetric asymptotically AdS black holes in terms of a holographically
dual field theory. We focus on a class of asymptotically AdS$_4$ static black
holes preserving two real supercharges which are dual to a topologically
twisted deformation of the ABJM theory. We evaluate in the large $N$ limit the
topologically twisted index of the ABJM theory and we show that it correctly
reproduces the entropy of the AdS$_4$ black holes. An extremization of the
index with respect to a set of chemical potentials is required. We interpret it
as the selection of the exact R-symmetry of the superconformal quantum
mechanics describing the horizon of the black hole.
|
[
{
"created": "Thu, 12 Nov 2015 21:00:08 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Feb 2016 15:25:18 GMT",
"version": "v2"
}
] |
2016-05-17
|
[
[
"Benini",
"Francesco",
""
],
[
"Hristov",
"Kiril",
""
],
[
"Zaffaroni",
"Alberto",
""
]
] |
This paper addresses a long standing problem, the counting of the microstates of supersymmetric asymptotically AdS black holes in terms of a holographically dual field theory. We focus on a class of asymptotically AdS$_4$ static black holes preserving two real supercharges which are dual to a topologically twisted deformation of the ABJM theory. We evaluate in the large $N$ limit the topologically twisted index of the ABJM theory and we show that it correctly reproduces the entropy of the AdS$_4$ black holes. An extremization of the index with respect to a set of chemical potentials is required. We interpret it as the selection of the exact R-symmetry of the superconformal quantum mechanics describing the horizon of the black hole.
|
1411.6981
|
Valeri Frolov P
|
Valeri P. Frolov
|
Do Black Holes Exist?
|
13 pages, 2 figures. An extended version of the talk at QUARKS-2014
conferences prepared for its Proceedings
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss and compare definitions of a black hole based on the existence of
event and apparent horizons. In this connection we present a non-singular model
of a black hole with a closed apparent horizon and discuss its properties. We
propose a massive thin shell model for consistent description of particles
creation in black holes. Using this model we demonstrate that for black holes
with mass much larger than the Planckian one the backreaction of the domain,
where the particles are created, on the black hole parameters is negligibly
small.
|
[
{
"created": "Tue, 25 Nov 2014 19:36:00 GMT",
"version": "v1"
}
] |
2014-11-26
|
[
[
"Frolov",
"Valeri P.",
""
]
] |
We discuss and compare definitions of a black hole based on the existence of event and apparent horizons. In this connection we present a non-singular model of a black hole with a closed apparent horizon and discuss its properties. We propose a massive thin shell model for consistent description of particles creation in black holes. Using this model we demonstrate that for black holes with mass much larger than the Planckian one the backreaction of the domain, where the particles are created, on the black hole parameters is negligibly small.
|
1408.2366
|
Luigi Rosa
|
Luigi Rosa and Lucia Trozzo
|
Casimir energy in a spherical surface within surface impedance approach:
the Drude model
|
10 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Casimir Energy of a spherical surface characterized by its surface
impedance is calculated. The material properties of the boundary are described
by means of the Drude model, so that a generalization of previous results is
obtained. The limits of the proposed approach are analyzed and a solution is
suggested. The possibility of modulating the sign of the Casimir force from
positive (repulsion) to negative (attraction) is studied.
|
[
{
"created": "Mon, 11 Aug 2014 10:32:15 GMT",
"version": "v1"
}
] |
2014-08-12
|
[
[
"Rosa",
"Luigi",
""
],
[
"Trozzo",
"Lucia",
""
]
] |
The Casimir Energy of a spherical surface characterized by its surface impedance is calculated. The material properties of the boundary are described by means of the Drude model, so that a generalization of previous results is obtained. The limits of the proposed approach are analyzed and a solution is suggested. The possibility of modulating the sign of the Casimir force from positive (repulsion) to negative (attraction) is studied.
|
1305.1955
|
Vatsal Dwivedi
|
Michael Stone, Vatsal Dwivedi
|
A Classical Version of the Non-Abelian Gauge Anomaly
|
19 Pages, No figures
|
Physical Review D88 045012 (2013) 8pp
|
10.1103/PhysRevD.88.045012
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that a version of the covariant gauge anomaly for a 3+1 dimensional
chiral fermion interacting with a non-Abelian gauge field can be obtained from
the classical Hamiltonian flow of its probability distribution in phase space.
The only quantum input needed is the Berry phase that arises from the direction
of the spin being slaved to the particle's momentum.
|
[
{
"created": "Wed, 8 May 2013 20:42:11 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Aug 2013 19:09:36 GMT",
"version": "v2"
}
] |
2015-06-15
|
[
[
"Stone",
"Michael",
""
],
[
"Dwivedi",
"Vatsal",
""
]
] |
We show that a version of the covariant gauge anomaly for a 3+1 dimensional chiral fermion interacting with a non-Abelian gauge field can be obtained from the classical Hamiltonian flow of its probability distribution in phase space. The only quantum input needed is the Berry phase that arises from the direction of the spin being slaved to the particle's momentum.
|
1807.02181
|
Oliver Rosten
|
Oliver J. Rosten
|
The Conformal Anomaly and a new Exact RG
|
v3: 34 pages, published version; v4: 34 pages, small correction
pertaining to the effective average action
|
Eur. Phys. J. C 80, 317 (2020)
|
10.1140/epjc/s10052-020-7866-1
| null |
hep-th cond-mat.stat-mech gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
For scalar field theory, a new generalization of the Exact RG to curved space
is proposed, in which the conformal anomaly is explicitly present. Vacuum terms
require regularization beyond that present in the canonical formulation of the
Exact RG, which can be accomplished by adding certain free fields, each at a
non-critical fixed-point. Taking the Legendre transform, the sole effect of the
regulator fields is to remove a divergent vacuum term and they do not
explicitly appear in the effective average action. As an illustration, both the
integrated conformal anomaly and Polyakov action are recovered for the Gaussian
theory in d=2.
|
[
{
"created": "Thu, 5 Jul 2018 21:02:13 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Dec 2019 19:22:46 GMT",
"version": "v2"
},
{
"created": "Mon, 13 Apr 2020 09:04:19 GMT",
"version": "v3"
},
{
"created": "Sun, 27 Feb 2022 13:23:53 GMT",
"version": "v4"
}
] |
2022-03-01
|
[
[
"Rosten",
"Oliver J.",
""
]
] |
For scalar field theory, a new generalization of the Exact RG to curved space is proposed, in which the conformal anomaly is explicitly present. Vacuum terms require regularization beyond that present in the canonical formulation of the Exact RG, which can be accomplished by adding certain free fields, each at a non-critical fixed-point. Taking the Legendre transform, the sole effect of the regulator fields is to remove a divergent vacuum term and they do not explicitly appear in the effective average action. As an illustration, both the integrated conformal anomaly and Polyakov action are recovered for the Gaussian theory in d=2.
|
hep-th/0505245
|
Kuldeep Kumar
|
Rabin Banerjee and Kuldeep Kumar
|
Seiberg-Witten maps and commutator anomalies in noncommutative
electrodynamics
|
15 pages, minor changes, version appearing in Phys. Rev. D
|
Phys.Rev.D72:085012,2005
|
10.1103/PhysRevD.72.085012
| null |
hep-th
| null |
We exploit the Seiberg-Witten maps for fields and currents in a U(1) gauge
theory relating the noncommutative and commutative (usual) descriptions to
obtain the O(\theta) structure of the commutator anomalies in noncommutative
electrodynamics. These commutators involve the (covariant) current-current
algebra and the (covariant) current-field algebra. We also establish the
compatibility of the anomalous commutators with the noncommutative covariant
anomaly through the use of certain consistency conditions derived here.
|
[
{
"created": "Thu, 26 May 2005 17:49:11 GMT",
"version": "v1"
},
{
"created": "Sun, 25 Sep 2005 12:27:58 GMT",
"version": "v2"
}
] |
2011-07-19
|
[
[
"Banerjee",
"Rabin",
""
],
[
"Kumar",
"Kuldeep",
""
]
] |
We exploit the Seiberg-Witten maps for fields and currents in a U(1) gauge theory relating the noncommutative and commutative (usual) descriptions to obtain the O(\theta) structure of the commutator anomalies in noncommutative electrodynamics. These commutators involve the (covariant) current-current algebra and the (covariant) current-field algebra. We also establish the compatibility of the anomalous commutators with the noncommutative covariant anomaly through the use of certain consistency conditions derived here.
|
1506.08040
|
Severin L\"ust
|
Jan Louis and Severin Lust
|
Supersymmetric AdS_7 backgrounds in half-maximal supergravity and
marginal operators of (1,0) SCFTs
|
20 pages, corrected classification of non-semisimple gauge groups,
version to appear in JHEP
| null |
10.1007/JHEP10(2015)120
|
ZMP-HH/15-17
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We determine the supersymmetric AdS_7 backgrounds of seven-dimensional
half-maximal gauged supergravities and show that they do not admit any
deformations that preserve all 16 supercharges. We compare this result to the
conformal manifold of the holographically dual (1,0) superconformal field
theories and show that accordingly its representation theory implies that no
supersymmetric marginal operators exist.
|
[
{
"created": "Fri, 26 Jun 2015 12:07:01 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Jul 2015 16:46:19 GMT",
"version": "v2"
},
{
"created": "Fri, 25 Sep 2015 15:44:27 GMT",
"version": "v3"
}
] |
2015-10-23
|
[
[
"Louis",
"Jan",
""
],
[
"Lust",
"Severin",
""
]
] |
We determine the supersymmetric AdS_7 backgrounds of seven-dimensional half-maximal gauged supergravities and show that they do not admit any deformations that preserve all 16 supercharges. We compare this result to the conformal manifold of the holographically dual (1,0) superconformal field theories and show that accordingly its representation theory implies that no supersymmetric marginal operators exist.
|
hep-th/9410141
|
Tim Morris
|
Tim R. Morris
|
The Renormalization Group and Two Dimensional Multicritical Effective
Scalar Field Theory
|
Note added on "shadow operators". Version to be published in Phys.
Lett. B
|
Phys.Lett. B345 (1995) 139-148
|
10.1016/0370-2693(94)01603-A
|
SHEP 94/95-04, CERN-TH.7403/94
|
hep-th cond-mat hep-lat
| null |
Direct verification of the existence of an infinite set of multicritical
non-perturbative FPs (Fixed Points) for a single scalar field in two
dimensions, is in practice well outside the capabilities of the present
standard approximate non-perturbative methods. We apply a derivative expansion
of the exact RG (Renormalization Group) equations in a form which allows the
corresponding FP equations to appear as non-linear eigenvalue equations for the
anomalous scaling dimension $\eta$. At zeroth order, only continuum limits
based on critical sine-Gordon models, are accessible. At second order in
derivatives, we perform a general search over all $\eta\ge.02$, finding the
expected first ten FPs, and {\sl only} these. For each of these we verify the
correct relevant qualitative behaviour, and compute critical exponents, and the
dimensions of up to the first ten lowest dimension operators. Depending on the
quantity, our lowest order approximate description agrees with CFT (Conformal
Field Theory) with an accuracy between 0.2\% and 33\%; this requires however
that certain irrelevant operators that are total derivatives in the CFT are
associated with ones that are not total derivatives in the scalar field theory.
|
[
{
"created": "Wed, 19 Oct 1994 16:53:31 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Dec 1994 14:40:32 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Morris",
"Tim R.",
""
]
] |
Direct verification of the existence of an infinite set of multicritical non-perturbative FPs (Fixed Points) for a single scalar field in two dimensions, is in practice well outside the capabilities of the present standard approximate non-perturbative methods. We apply a derivative expansion of the exact RG (Renormalization Group) equations in a form which allows the corresponding FP equations to appear as non-linear eigenvalue equations for the anomalous scaling dimension $\eta$. At zeroth order, only continuum limits based on critical sine-Gordon models, are accessible. At second order in derivatives, we perform a general search over all $\eta\ge.02$, finding the expected first ten FPs, and {\sl only} these. For each of these we verify the correct relevant qualitative behaviour, and compute critical exponents, and the dimensions of up to the first ten lowest dimension operators. Depending on the quantity, our lowest order approximate description agrees with CFT (Conformal Field Theory) with an accuracy between 0.2\% and 33\%; this requires however that certain irrelevant operators that are total derivatives in the CFT are associated with ones that are not total derivatives in the scalar field theory.
|
1611.09374
|
Seyed Morteza Hosseini
|
Seyed Morteza Hosseini, Anton Nedelin, Alberto Zaffaroni
|
The Cardy limit of the topologically twisted index and black strings in
AdS$_5$
|
31 pages, V2: minor corrections, refs added, V3: minor corrections,
published version, V4: few signs corrected
|
JHEP 1704 (2017) 014
|
10.1007/JHEP04(2017)014
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We evaluate the topologically twisted index of a general four-dimensional
$\mathcal{N} = 1$ gauge theory in the "high-temperature" limit. The index is
the partition function for $\mathcal{N} = 1$ theories on $S^2 \times T^2$, with
a partial topological twist along $S^2$, in the presence of background magnetic
fluxes and fugacities for the global symmetries. We show that the logarithm of
the index is proportional to the conformal anomaly coefficient of the
two-dimensional $\mathcal{N} = (0,2)$ SCFTs obtained from the compactification
on $S^2$. We also present a universal formula for extracting the index from the
four-dimensional conformal anomaly coefficient and its derivatives. We give
examples based on theories whose holographic duals are black strings in type
IIB backgrounds AdS$_5 \times \text{SE}_5$, where SE$_5$ are five-dimensional
Sasaki-Einstein spaces.
|
[
{
"created": "Mon, 28 Nov 2016 21:00:09 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Jan 2017 13:19:39 GMT",
"version": "v2"
},
{
"created": "Tue, 11 Apr 2017 08:50:08 GMT",
"version": "v3"
},
{
"created": "Tue, 23 Oct 2018 14:29:20 GMT",
"version": "v4"
}
] |
2018-10-24
|
[
[
"Hosseini",
"Seyed Morteza",
""
],
[
"Nedelin",
"Anton",
""
],
[
"Zaffaroni",
"Alberto",
""
]
] |
We evaluate the topologically twisted index of a general four-dimensional $\mathcal{N} = 1$ gauge theory in the "high-temperature" limit. The index is the partition function for $\mathcal{N} = 1$ theories on $S^2 \times T^2$, with a partial topological twist along $S^2$, in the presence of background magnetic fluxes and fugacities for the global symmetries. We show that the logarithm of the index is proportional to the conformal anomaly coefficient of the two-dimensional $\mathcal{N} = (0,2)$ SCFTs obtained from the compactification on $S^2$. We also present a universal formula for extracting the index from the four-dimensional conformal anomaly coefficient and its derivatives. We give examples based on theories whose holographic duals are black strings in type IIB backgrounds AdS$_5 \times \text{SE}_5$, where SE$_5$ are five-dimensional Sasaki-Einstein spaces.
|
1307.6490
|
Joseph Ben Geloun
|
Joseph Ben Geloun and Sanjaye Ramgoolam
|
Counting Tensor Model Observables and Branched Covers of the 2-Sphere
|
56 pages, 14 Figures
|
Ann.Inst.H.Poincare Comb.Phys.Interact. 1 (2014) 1, 77-138
|
10.4171/AIHPD/4
|
QMUL-PH-13-08, ICMPA-MPA/2013/008
|
hep-th math-ph math.CO math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Lattice gauge theories of permutation groups with a simple topological action
(henceforth permutation-TFTs) have recently found several applications in the
combinatorics of quantum field theories (QFTs). They have been used to solve
counting problems of Feynman graphs in QFTs and ribbon graphs of large $N$,
often revealing inter-relations between different counting problems. In another
recent development, tensor theories generalizing matrix theories have been
actively developed as models of random geometry in three or more dimensions.
Here, we apply permutation-TFT methods to count gauge invariants for tensor
models (colored as well as non-colored), exhibiting a relationship with
counting problems of branched covers of the 2-sphere, where the rank $d$ of the
tensor gets related to a number of branch points. We give explicit generating
functions for the relevant counting and describe algorithms for the enumeration
of the invariants. As well as the classic count of Hurwitz equivalence classes
of branched covers with fixed branch points, collecting these under an
equivalence of permuting the branch points is relevant to the color-symmetrized
tensor invariant counting. We also apply the permutation-TFT methods to obtain
some formulae for correlators of the tensor model invariants.
|
[
{
"created": "Wed, 24 Jul 2013 16:59:33 GMT",
"version": "v1"
}
] |
2020-04-27
|
[
[
"Geloun",
"Joseph Ben",
""
],
[
"Ramgoolam",
"Sanjaye",
""
]
] |
Lattice gauge theories of permutation groups with a simple topological action (henceforth permutation-TFTs) have recently found several applications in the combinatorics of quantum field theories (QFTs). They have been used to solve counting problems of Feynman graphs in QFTs and ribbon graphs of large $N$, often revealing inter-relations between different counting problems. In another recent development, tensor theories generalizing matrix theories have been actively developed as models of random geometry in three or more dimensions. Here, we apply permutation-TFT methods to count gauge invariants for tensor models (colored as well as non-colored), exhibiting a relationship with counting problems of branched covers of the 2-sphere, where the rank $d$ of the tensor gets related to a number of branch points. We give explicit generating functions for the relevant counting and describe algorithms for the enumeration of the invariants. As well as the classic count of Hurwitz equivalence classes of branched covers with fixed branch points, collecting these under an equivalence of permuting the branch points is relevant to the color-symmetrized tensor invariant counting. We also apply the permutation-TFT methods to obtain some formulae for correlators of the tensor model invariants.
|
hep-th/0211074
|
Asato Tsuchiya
|
Matsuo Sato and Asato Tsuchiya
|
Born-Infeld Action from Supergravity
|
25 pages, minor changes, published version
|
Prog.Theor.Phys. 109 (2003) 687-707
|
10.1143/PTP.109.687
|
MIT-CTP-3321, OU-HET 423
|
hep-th gr-qc
| null |
We show that the Born-Infeld action with the Wess-Zumino terms for the
Ramond-Ramond fields, which is the D3-brane effective action, is a solution to
the Hamilton-Jacobi (H-J) equation of type IIB supergravity. Adopting the
radial coordinate as time, we develop the ADM formalism for type IIB
supergravity reduced on $S^5$ and derive the H-J equation, which is the
classical limit of the Wheeler-De Witt equation and whose solutions are
classical on-shell actions. The solution to the H-J equation reproduces the
on-shell actions for the supergravity solution of a stack of D3-branes in a
$B_2$ field and the near-horizon limit of this supergravity solution, which is
conjectured to be dual to noncommutative Yang Mills and reduces to $AdS_5
\times S^5$ in the commutative limit. Our D3-brane effective action is that of
a probe D3-brane, and the radial time corresponds to the vacuum expectation
value of the Higgs field in the dual Yang Mills. Our findings can be applied to
the study of the holographic renormalization group.
|
[
{
"created": "Fri, 8 Nov 2002 20:19:40 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Nov 2002 20:59:40 GMT",
"version": "v2"
},
{
"created": "Tue, 17 Dec 2002 20:36:07 GMT",
"version": "v3"
},
{
"created": "Thu, 27 Feb 2003 23:08:39 GMT",
"version": "v4"
},
{
"created": "Tue, 7 Oct 2003 08:58:36 GMT",
"version": "v5"
}
] |
2009-11-07
|
[
[
"Sato",
"Matsuo",
""
],
[
"Tsuchiya",
"Asato",
""
]
] |
We show that the Born-Infeld action with the Wess-Zumino terms for the Ramond-Ramond fields, which is the D3-brane effective action, is a solution to the Hamilton-Jacobi (H-J) equation of type IIB supergravity. Adopting the radial coordinate as time, we develop the ADM formalism for type IIB supergravity reduced on $S^5$ and derive the H-J equation, which is the classical limit of the Wheeler-De Witt equation and whose solutions are classical on-shell actions. The solution to the H-J equation reproduces the on-shell actions for the supergravity solution of a stack of D3-branes in a $B_2$ field and the near-horizon limit of this supergravity solution, which is conjectured to be dual to noncommutative Yang Mills and reduces to $AdS_5 \times S^5$ in the commutative limit. Our D3-brane effective action is that of a probe D3-brane, and the radial time corresponds to the vacuum expectation value of the Higgs field in the dual Yang Mills. Our findings can be applied to the study of the holographic renormalization group.
|
hep-th/9509035
|
Walter Troost
|
Friedemann Brandt, Walter Troost and Antoine Van Proeyen
|
The BRST--antibracket cohomology of $2d$ gravity conformally coupled to
scalar matter
|
52 pages, LaTeX. Minor changes, to be published in Nucl. Phys
|
Nucl.Phys. B464 (1996) 353-408
|
10.1016/0550-3213(96)00030-2
|
KUL-TF-95/17
|
hep-th
| null |
We compute completely the BRST--antibracket cohomology on local functionals
in two-dimensional Weyl invariant gravity for given classical field content
(two dimensional metric and scalar matter fields) and gauge symmetries (two
dimensional diffeomorphisms and local Weyl transformations). This covers the
determination of all classical actions, of all their rigid symmetries, of all
background charges and of all candidate gauge anomalies. In particular we show
that the antifield dependence can be entirely removed from the anomalies and
that, if the target space has isometries, the condition for the absence of
matter field dependent Weyl anomalies is more general than the familiar
`dilaton equations'.
|
[
{
"created": "Thu, 7 Sep 1995 16:02:09 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Jan 1996 10:37:06 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Brandt",
"Friedemann",
""
],
[
"Troost",
"Walter",
""
],
[
"Van Proeyen",
"Antoine",
""
]
] |
We compute completely the BRST--antibracket cohomology on local functionals in two-dimensional Weyl invariant gravity for given classical field content (two dimensional metric and scalar matter fields) and gauge symmetries (two dimensional diffeomorphisms and local Weyl transformations). This covers the determination of all classical actions, of all their rigid symmetries, of all background charges and of all candidate gauge anomalies. In particular we show that the antifield dependence can be entirely removed from the anomalies and that, if the target space has isometries, the condition for the absence of matter field dependent Weyl anomalies is more general than the familiar `dilaton equations'.
|
hep-th/0505012
|
Harvendra Singh
|
Harvendra Singh
|
More on Tachyon Cosmology in De Sitter Gravity
|
15pp, 3 figures; references added
|
JHEP 0601 (2006) 071
|
10.1088/1126-6708/2006/01/071
| null |
hep-th astro-ph
| null |
We aim to study rolling tachyon cosmological solutions in de Sitter gravity.
The solutions are taken to be flat FRW type and these are not time-reversal
symmetric. We find that cosmological constant of our universe has to be
fine-tuned at the level of the action itself, as in KKLT string
compactification. The rolling tachyon can give rise to required inflation with
suitable choice of the initial conditions which include nonvanishing Hubble
constant. We also determine an upper bound on the volume of the
compactification manifold.
|
[
{
"created": "Mon, 2 May 2005 12:16:57 GMT",
"version": "v1"
},
{
"created": "Thu, 5 May 2005 09:21:58 GMT",
"version": "v2"
},
{
"created": "Thu, 6 Oct 2005 10:30:56 GMT",
"version": "v3"
}
] |
2009-11-11
|
[
[
"Singh",
"Harvendra",
""
]
] |
We aim to study rolling tachyon cosmological solutions in de Sitter gravity. The solutions are taken to be flat FRW type and these are not time-reversal symmetric. We find that cosmological constant of our universe has to be fine-tuned at the level of the action itself, as in KKLT string compactification. The rolling tachyon can give rise to required inflation with suitable choice of the initial conditions which include nonvanishing Hubble constant. We also determine an upper bound on the volume of the compactification manifold.
|
1606.03605
|
Marian Stanishkov
|
Marian Stanishkov
|
RG Domain Wall for the General su(2) Coset Models
|
19 pages, references added. arXiv admin note: text overlap with
arXiv:1606.04328
| null |
10.1007/JHEP08(2016)096
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a RG flow in a general su(2) coset model induced by the least
relevant field. This is done using two different approaches. We first compute
the mixing coefficients of certain fields in the UV and IR theories using a
conformal perturbation theory. The necessary structure constants are computed.
The same coefficients can be calculated using the RG domain wall construction
of Gaiotto. We compute the corresponding one-point functions and show that the
two approaches give the same result in the leading order.
|
[
{
"created": "Sat, 11 Jun 2016 14:52:03 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Jul 2016 10:52:00 GMT",
"version": "v2"
}
] |
2016-09-21
|
[
[
"Stanishkov",
"Marian",
""
]
] |
We consider a RG flow in a general su(2) coset model induced by the least relevant field. This is done using two different approaches. We first compute the mixing coefficients of certain fields in the UV and IR theories using a conformal perturbation theory. The necessary structure constants are computed. The same coefficients can be calculated using the RG domain wall construction of Gaiotto. We compute the corresponding one-point functions and show that the two approaches give the same result in the leading order.
|
2101.08343
|
Ying-Hsuan Lin
|
Ying-Hsuan Lin, Shu-Heng Shao
|
$\mathbb{Z}_N$ Symmetries, Anomalies, and the Modular Bootstrap
|
26+13 pages, 10 figures, 2 tables; v2: minor revision
|
Phys. Rev. D 103, 125001 (2021)
|
10.1103/PhysRevD.103.125001
|
CALT-TH-2021-002
|
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explore constraints on (1+1)$d$ unitary conformal field theory with an
internal $\mathbb{Z}_N$ global symmetry, by bounding the lightest
symmetry-preserving scalar primary operator using the modular bootstrap. Among
the other constraints we have found, we prove the existence of a
$\mathbb{Z}_N$-symmetric relevant/marginal operator if $N-1 \le c\le 9-N$ for
$N\leq4$, with the endpoints saturated by various WZW models that can be
embedded into $(\mathfrak{e}_8)_1$. Its existence implies that robust gapless
fixed points are not possible in this range of $c$ if only a $\mathbb{Z}_N$
symmetry is imposed microscopically. We also obtain stronger, more refined
bounds that depend on the 't Hooft anomaly of the $\mathbb{Z}_N$ symmetry.
|
[
{
"created": "Wed, 20 Jan 2021 22:19:06 GMT",
"version": "v1"
},
{
"created": "Sat, 29 May 2021 16:50:16 GMT",
"version": "v2"
}
] |
2021-06-09
|
[
[
"Lin",
"Ying-Hsuan",
""
],
[
"Shao",
"Shu-Heng",
""
]
] |
We explore constraints on (1+1)$d$ unitary conformal field theory with an internal $\mathbb{Z}_N$ global symmetry, by bounding the lightest symmetry-preserving scalar primary operator using the modular bootstrap. Among the other constraints we have found, we prove the existence of a $\mathbb{Z}_N$-symmetric relevant/marginal operator if $N-1 \le c\le 9-N$ for $N\leq4$, with the endpoints saturated by various WZW models that can be embedded into $(\mathfrak{e}_8)_1$. Its existence implies that robust gapless fixed points are not possible in this range of $c$ if only a $\mathbb{Z}_N$ symmetry is imposed microscopically. We also obtain stronger, more refined bounds that depend on the 't Hooft anomaly of the $\mathbb{Z}_N$ symmetry.
|
1001.1227
|
Wu JianPin
|
Jian-Pin Wu, Yi Ling
|
The cosmological perturbation theory in loop cosmology with holonomy
corrections
|
18 pages,typos corrected, reference added, version published in JCAP
|
JCAP 1005:026,2010
|
10.1088/1475-7516/2010/05/026
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we investigate the scalar mode of first-order metric
perturbations over spatially flat FRW spacetime when the holonomy correction is
taken into account in the semi-classical framework of loop quantum cosmology.
By means of the Hamiltonian derivation, the cosmological perturbation equations
is obtained in longitudinal gauge. It turns out that in the presence of metric
perturbation the holonomy effects influence both background and perturbations,
and contribute the non-trivial terms $S_{h1}$ and $S_{h2}$ in the cosmological
perturbation equations.
|
[
{
"created": "Fri, 8 Jan 2010 09:38:24 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Jan 2010 11:27:14 GMT",
"version": "v2"
},
{
"created": "Wed, 13 Jan 2010 06:06:17 GMT",
"version": "v3"
},
{
"created": "Fri, 15 Jan 2010 05:46:40 GMT",
"version": "v4"
},
{
"created": "Fri, 21 May 2010 18:06:20 GMT",
"version": "v5"
}
] |
2010-05-28
|
[
[
"Wu",
"Jian-Pin",
""
],
[
"Ling",
"Yi",
""
]
] |
In this paper we investigate the scalar mode of first-order metric perturbations over spatially flat FRW spacetime when the holonomy correction is taken into account in the semi-classical framework of loop quantum cosmology. By means of the Hamiltonian derivation, the cosmological perturbation equations is obtained in longitudinal gauge. It turns out that in the presence of metric perturbation the holonomy effects influence both background and perturbations, and contribute the non-trivial terms $S_{h1}$ and $S_{h2}$ in the cosmological perturbation equations.
|
hep-th/0602175
|
Michael Volkov
|
Peter Forgacs, Sebastien Reuillon, and Mikhail S. Volkov
|
Twisted Superconducting Semilocal Strings
|
39 pages, 20 figures
|
Nucl.Phys.B751:390-418,2006
|
10.1016/j.nuclphysb.2006.06.016
| null |
hep-th astro-ph cond-mat.supr-con gr-qc hep-ph
| null |
A new class of twisted, current carrying, stationary, straight string
solutions having finite energy per unit length is constructed numerically in an
extended Abelian Higgs model with global SU(2) symmetry. The new solutions
correspond to deformations of the embedded Abrikosov-Nielsen-Olesen (ANO)
vortices by a twist -- a relative coordinate dependent phase between the two
Higgs fields. The twist induces a global current flowing through the string,
and the deformed solutions bifurcate with the ANO vortices in the limit of
vanishing current. For each value of the winding number $n=1,2...$ (determining
the magnetic flux through the plane orthogonal to the string) there are $n$
distinct, two-parametric families of solutions. One of the continuously varying
parameters is the twist, or the corresponding current, the other one can be
chosen to be the momentum of the string. For fixed values of the momentum and
twist, the $n$ distinct solutions have different energies and can be viewed as
a lowest energy ``fundamental'' string and its $n-1$ ``excitations''
characterized by different values of their ``polarization''. The latter is
defined as the ratio of the angular momentum of the vortex and its momentum. In
their rest frame the twisted vortices have lower energy than the embedded ANO
vortices and could be of considerable importance in various physical systems
(from condensed matter to cosmic strings).
|
[
{
"created": "Fri, 17 Feb 2006 18:44:10 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Forgacs",
"Peter",
""
],
[
"Reuillon",
"Sebastien",
""
],
[
"Volkov",
"Mikhail S.",
""
]
] |
A new class of twisted, current carrying, stationary, straight string solutions having finite energy per unit length is constructed numerically in an extended Abelian Higgs model with global SU(2) symmetry. The new solutions correspond to deformations of the embedded Abrikosov-Nielsen-Olesen (ANO) vortices by a twist -- a relative coordinate dependent phase between the two Higgs fields. The twist induces a global current flowing through the string, and the deformed solutions bifurcate with the ANO vortices in the limit of vanishing current. For each value of the winding number $n=1,2...$ (determining the magnetic flux through the plane orthogonal to the string) there are $n$ distinct, two-parametric families of solutions. One of the continuously varying parameters is the twist, or the corresponding current, the other one can be chosen to be the momentum of the string. For fixed values of the momentum and twist, the $n$ distinct solutions have different energies and can be viewed as a lowest energy ``fundamental'' string and its $n-1$ ``excitations'' characterized by different values of their ``polarization''. The latter is defined as the ratio of the angular momentum of the vortex and its momentum. In their rest frame the twisted vortices have lower energy than the embedded ANO vortices and could be of considerable importance in various physical systems (from condensed matter to cosmic strings).
|
2311.18023
|
Napat Poovuttikul
|
Joe Davighi, Nakarin Lohitsiri, Napat Poovuttikul
|
A Non-Perturbative Mixed Anomaly and Fractional Hydrodynamic Transport
|
21+9 pages , 9 figures, comments are welcome
| null | null |
CERN-TH-2023-213
|
hep-th cond-mat.mes-hall hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We present a new non-perturbative 't Hooft anomaly afflicting a quantum field
theory with symmetry group $G=U(1)\times \mathbb{Z}_2$ in four dimensions. We
use the Adams spectral sequence to compute that the bordism group
$\Omega^\text{Spin}_5(BG)$, which classifies anomalies that remain when
perturbative anomalies cancel, is $\mathbb{Z}_4$. By constructing a mapping
torus and evaluating the Atiyah-Patodi-Singer $\eta$-invariant, we show that
the mod 4 anomaly is generated by a pair of Weyl fermions that are vector-like
under $U(1)$, but with only one component charged under $\mathbb{Z}_2$. We
construct a simple microscopic field theory that realises the anomaly, before
investigating its impact in the hydrodynamic limit. We find that the anomaly
dictates transport phenomena in the $U(1)$ current and energy-momentum tensor
akin to the chiral vortical and magnetic effects (even though the perturbative
anomalies here vanish), but with the conductivities being fractionally
quantised in units of a quarter, reflecting the mod 4 nature of the bordism
group.Along the way, we compute the (relevant) bordism groups
$\Omega^\text{Spin}_d(B\mathbb{Z}_2\times BU(1))$ and
$\Omega_d^{\text{Pin}^-}(BU(1))$ in all degrees $d=0$ through 5.
|
[
{
"created": "Wed, 29 Nov 2023 19:09:50 GMT",
"version": "v1"
}
] |
2023-12-01
|
[
[
"Davighi",
"Joe",
""
],
[
"Lohitsiri",
"Nakarin",
""
],
[
"Poovuttikul",
"Napat",
""
]
] |
We present a new non-perturbative 't Hooft anomaly afflicting a quantum field theory with symmetry group $G=U(1)\times \mathbb{Z}_2$ in four dimensions. We use the Adams spectral sequence to compute that the bordism group $\Omega^\text{Spin}_5(BG)$, which classifies anomalies that remain when perturbative anomalies cancel, is $\mathbb{Z}_4$. By constructing a mapping torus and evaluating the Atiyah-Patodi-Singer $\eta$-invariant, we show that the mod 4 anomaly is generated by a pair of Weyl fermions that are vector-like under $U(1)$, but with only one component charged under $\mathbb{Z}_2$. We construct a simple microscopic field theory that realises the anomaly, before investigating its impact in the hydrodynamic limit. We find that the anomaly dictates transport phenomena in the $U(1)$ current and energy-momentum tensor akin to the chiral vortical and magnetic effects (even though the perturbative anomalies here vanish), but with the conductivities being fractionally quantised in units of a quarter, reflecting the mod 4 nature of the bordism group.Along the way, we compute the (relevant) bordism groups $\Omega^\text{Spin}_d(B\mathbb{Z}_2\times BU(1))$ and $\Omega_d^{\text{Pin}^-}(BU(1))$ in all degrees $d=0$ through 5.
|
hep-th/0611004
|
Jurgen Baacke
|
Jurgen Baacke and Nina Kevlishvili
|
False vacuum decay by self-consistent bounces in four dimensions
|
45 pages, 9 figures
|
Phys.Rev.D75:045001,2007; Erratum-ibid.D76:029903,2007
|
10.1103/PhysRevD.75.045001 10.1103/PhysRevD.76.029903
|
DO-TH-06/11
|
hep-th
| null |
We compute bounce solutions describing false vacuum decay in a Phi**4 model
in four dimensions with quantum back-reaction. The back-reaction of the quantum
fluctuations on the bounce profiles is computed in the one-loop and Hartree
approximations. This is to be compared with the usual semiclassical approach
where one computes the profile from the classical action and determines the
one-loop correction from this profile. The computation of the fluctuation
determinant is performed using a theorem on functional determinants, in
addition we here need the Green' s function of the fluctuation operator in oder
to compute the quantum back-reaction. As we are able to separate from the
determinant and from the Green' s function the leading perturbative orders, we
can regularize and renormalize analytically, in analogy of standard
perturbation theory. The iteration towards self-consistent solutions is found
to converge for some range of the parameters. Within this range the corrections
to the semiclassical action are at most a few percent, the corrections to the
transition rate can amount to several orders of magnitude. The strongest
deviations happen for large couplings, as to be expected. Beyond some limit,
there are no self-consistent bounce solutions.
|
[
{
"created": "Tue, 31 Oct 2006 23:26:45 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Baacke",
"Jurgen",
""
],
[
"Kevlishvili",
"Nina",
""
]
] |
We compute bounce solutions describing false vacuum decay in a Phi**4 model in four dimensions with quantum back-reaction. The back-reaction of the quantum fluctuations on the bounce profiles is computed in the one-loop and Hartree approximations. This is to be compared with the usual semiclassical approach where one computes the profile from the classical action and determines the one-loop correction from this profile. The computation of the fluctuation determinant is performed using a theorem on functional determinants, in addition we here need the Green' s function of the fluctuation operator in oder to compute the quantum back-reaction. As we are able to separate from the determinant and from the Green' s function the leading perturbative orders, we can regularize and renormalize analytically, in analogy of standard perturbation theory. The iteration towards self-consistent solutions is found to converge for some range of the parameters. Within this range the corrections to the semiclassical action are at most a few percent, the corrections to the transition rate can amount to several orders of magnitude. The strongest deviations happen for large couplings, as to be expected. Beyond some limit, there are no self-consistent bounce solutions.
|
hep-th/0605235
|
Elena Caceres
|
Elena Caceres (Colima U.), Alberto Guijosa (ICN-UNAM)
|
Drag Force in a Charged N=4 SYM Plasma
|
16 pages, 1 eps figure; v2: references added, typos fixed; v3: more
general ansatz, new nontrivial solution obtained, nonmonotonicity of the drag
force made explicit in new figure, version to appear in JHEP
|
JHEP 0611 (2006) 077
|
10.1088/1126-6708/2006/11/077
|
UTTG-07-06, ICN-UNAM-06/05G
|
hep-th hep-ph
| null |
Following recent developments, we employ the AdS/CFT correspondence to
determine the drag force exerted on an external quark that moves through an N=4
super-Yang-Mills plasma with a non-zero R-charge density (or, equivalently, a
non-zero chemical potential). We find that the drag force is larger than in the
case where the plasma is neutral, but the dependence on the charge is
non-monotonic.
|
[
{
"created": "Tue, 23 May 2006 17:59:51 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Jun 2006 19:26:33 GMT",
"version": "v2"
},
{
"created": "Wed, 15 Nov 2006 22:55:26 GMT",
"version": "v3"
}
] |
2009-11-11
|
[
[
"Caceres",
"Elena",
"",
"Colima U."
],
[
"Guijosa",
"Alberto",
"",
"ICN-UNAM"
]
] |
Following recent developments, we employ the AdS/CFT correspondence to determine the drag force exerted on an external quark that moves through an N=4 super-Yang-Mills plasma with a non-zero R-charge density (or, equivalently, a non-zero chemical potential). We find that the drag force is larger than in the case where the plasma is neutral, but the dependence on the charge is non-monotonic.
|
1103.4620
|
Alejandra Castro
|
Alejandra Castro, Nima Lashkari, Alexander Maloney
|
A de Sitter Farey Tail
|
48 pages, 2 figures; v2: minor corrections
|
Phys.Rev.D83:124027,2011
|
10.1103/PhysRevD.83.124027
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider quantum Einstein gravity in three dimensional de Sitter space.
The Euclidean path integral is formulated as a sum over geometries, including
both perturbative loop corrections and non-perturbative instanton corrections
coming from geometries with non-trivial topology. These non-trivial geometries
have a natural physical interpretation. Conventional wisdom states that the
sphere is the unique Euclidean continuation of de Sitter space. However, when
considering physics only in the causal patch of a single observer other
Euclidean geometries, in this case lens spaces, contribute to physical
observables. This induces quantum gravitational effects which lead to
deviations from the standard thermal behaviour obtained by analytic
continuation from the three sphere. The sum over these geometries can be
formulated as a sum over cosets of the modular group; this is the de Sitter
analog of the celebrated "black hole Farey tail." We compute the vacuum
partition function including the sum over these geometries. Perturbative
quantum corrections are computed to all orders in perturbation theory using the
relationship between Einstein gravity and Chern-Simons theory, which is checked
explicitly at tree and one-loop level using heat kernel techniques. The vacuum
partition function, including all instanton and perturbative corrections, is
shown to diverge in a way which can not be regulated using standard field
theory techniques.
|
[
{
"created": "Wed, 23 Mar 2011 20:19:42 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Sep 2011 16:29:01 GMT",
"version": "v2"
}
] |
2011-09-22
|
[
[
"Castro",
"Alejandra",
""
],
[
"Lashkari",
"Nima",
""
],
[
"Maloney",
"Alexander",
""
]
] |
We consider quantum Einstein gravity in three dimensional de Sitter space. The Euclidean path integral is formulated as a sum over geometries, including both perturbative loop corrections and non-perturbative instanton corrections coming from geometries with non-trivial topology. These non-trivial geometries have a natural physical interpretation. Conventional wisdom states that the sphere is the unique Euclidean continuation of de Sitter space. However, when considering physics only in the causal patch of a single observer other Euclidean geometries, in this case lens spaces, contribute to physical observables. This induces quantum gravitational effects which lead to deviations from the standard thermal behaviour obtained by analytic continuation from the three sphere. The sum over these geometries can be formulated as a sum over cosets of the modular group; this is the de Sitter analog of the celebrated "black hole Farey tail." We compute the vacuum partition function including the sum over these geometries. Perturbative quantum corrections are computed to all orders in perturbation theory using the relationship between Einstein gravity and Chern-Simons theory, which is checked explicitly at tree and one-loop level using heat kernel techniques. The vacuum partition function, including all instanton and perturbative corrections, is shown to diverge in a way which can not be regulated using standard field theory techniques.
|
hep-th/0611278
|
Sergey Shadchin
|
Sergey Shadchin
|
On F-term contribution to effective action
|
31 pages
|
JHEP 0708:052,2007
|
10.1088/1126-6708/2007/08/052
| null |
hep-th
| null |
We apply equivariant integration technique, developed in the context of
instanton counting, to two dimensional N=2 supersymmetric Yang-Mills models.
Twisted superpotential for U(N) model is computed. Connections to the four
dimensional case are discussed. Also we make some comments about the eight
dimensional model which manifests similar features.
|
[
{
"created": "Mon, 27 Nov 2006 09:59:44 GMT",
"version": "v1"
}
] |
2010-10-27
|
[
[
"Shadchin",
"Sergey",
""
]
] |
We apply equivariant integration technique, developed in the context of instanton counting, to two dimensional N=2 supersymmetric Yang-Mills models. Twisted superpotential for U(N) model is computed. Connections to the four dimensional case are discussed. Also we make some comments about the eight dimensional model which manifests similar features.
|
1412.0665
|
Mehrdad Mirbabayi
|
Mehrdad Mirbabayi, Leonardo Senatore, Eva Silverstein, Matias
Zaldarriaga
|
Gravitational Waves and the Scale of Inflation
|
12 pages
|
Phys. Rev. D 91, 063518 (2015)
|
10.1103/PhysRevD.91.063518
| null |
hep-th astro-ph.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We revisit alternative mechanisms of gravitational wave production during
inflation and argue that they generically emit a non-negligible amount of
scalar fluctuations. We find the scalar power is larger than the tensor power
by a factor of order $1/\epsilon^2$. For an appreciable tensor contribution the
associated scalar emission completely dominates the zero-point fluctuations of
inflaton, resulting in a tensor-to-scalar ratio $r\sim \epsilon^2$. A more
quantitative result can be obtained if one further assumes that gravitational
waves are emitted by localized sub-horizon processes, giving $r_{\rm max}
\simeq 0.3 \epsilon^2$. However, $\epsilon$ is generally time dependent, and
this result for $r$ depends on its instantaneous value during the production of
the sources, rather than just its average value, somewhat relaxing constraints
from the tilt $n_s$. We calculate the scalar 3-point correlation function in
the same class of models and show that non-Gaussianity cannot be made
arbitrarily small, i.e. $f_{NL} \geq 1$, independently of the value of $r$.
Possible exceptions in multi-field scenarios are discussed.
|
[
{
"created": "Mon, 1 Dec 2014 21:00:08 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Apr 2015 21:04:11 GMT",
"version": "v2"
}
] |
2015-04-21
|
[
[
"Mirbabayi",
"Mehrdad",
""
],
[
"Senatore",
"Leonardo",
""
],
[
"Silverstein",
"Eva",
""
],
[
"Zaldarriaga",
"Matias",
""
]
] |
We revisit alternative mechanisms of gravitational wave production during inflation and argue that they generically emit a non-negligible amount of scalar fluctuations. We find the scalar power is larger than the tensor power by a factor of order $1/\epsilon^2$. For an appreciable tensor contribution the associated scalar emission completely dominates the zero-point fluctuations of inflaton, resulting in a tensor-to-scalar ratio $r\sim \epsilon^2$. A more quantitative result can be obtained if one further assumes that gravitational waves are emitted by localized sub-horizon processes, giving $r_{\rm max} \simeq 0.3 \epsilon^2$. However, $\epsilon$ is generally time dependent, and this result for $r$ depends on its instantaneous value during the production of the sources, rather than just its average value, somewhat relaxing constraints from the tilt $n_s$. We calculate the scalar 3-point correlation function in the same class of models and show that non-Gaussianity cannot be made arbitrarily small, i.e. $f_{NL} \geq 1$, independently of the value of $r$. Possible exceptions in multi-field scenarios are discussed.
|
hep-th/0011065
|
Christof Schmidhuber
|
Christof Schmidhuber
|
Strings from Logic
|
Talk, 19 pp, 7 figures
| null | null |
CERN-TH/2000-316
|
hep-th cond-mat.stat-mech gr-qc math-ph math.LO math.MP physics.comp-ph quant-ph
| null |
What are strings made of? The possibility is discussed that strings are
purely mathematical objects, made of logical axioms. More precisely, proofs in
simple logical calculi are represented by graphs that can be interpreted as the
Feynman diagrams of certain large-N field theories. Each vertex represents an
axiom. Strings arise, because these large-N theories are dual to string
theories. These ``logical quantum field theories'' map theorems into the space
of functions of two parameters: N and the coupling constant. Undecidable
theorems might be related to nonperturbative field theory effects.
|
[
{
"created": "Thu, 9 Nov 2000 00:01:34 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Schmidhuber",
"Christof",
""
]
] |
What are strings made of? The possibility is discussed that strings are purely mathematical objects, made of logical axioms. More precisely, proofs in simple logical calculi are represented by graphs that can be interpreted as the Feynman diagrams of certain large-N field theories. Each vertex represents an axiom. Strings arise, because these large-N theories are dual to string theories. These ``logical quantum field theories'' map theorems into the space of functions of two parameters: N and the coupling constant. Undecidable theorems might be related to nonperturbative field theory effects.
|
hep-th/9409117
|
Sergey Fedoruk
|
S. Fedoruk, V.G. Zima
|
Covariant Quantization of d=4 Brink-Schwarz Superparticle with Lorentz
Harmonics
|
V2: 1 + 26 pages, published version
|
Theor.Math.Phys.102:305-322,1995; Teor.Mat.Fiz.102:420-445,1995
|
10.1007/BF01017881
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Covariant first and second quantization of the free d=4 massless
superparticle are implemented with the introduction of purely gauge auxiliary
spinor Lorentz harmonics. It is shown that the general solution of the
condition of maslessness is a sum of two independent chiral superfields with
each of them corresponding to finite superspin. A translationally covariant, in
general bijective correspondence between harmonic and massless superfields is
constructed. By calculation of the commutation function it is shown that in the
considered approach only harmonic fields with correct connection between spin
and statistics and with integer negative homogeneity index satisfy the
microcausality condition. It is emphasized that harmonic fields that arise are
reducible at integer points. The index spinor technique is used to describe
infinite-component fields of finite spin; the equations of motion of such
fields are obtained, and for them Weinberg's theorem on the connection between
massless helicity particles and the type of nongauge field that describes them
is generalized.
|
[
{
"created": "Tue, 20 Sep 1994 09:46:00 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Sep 2019 19:51:53 GMT",
"version": "v2"
}
] |
2019-09-25
|
[
[
"Fedoruk",
"S.",
""
],
[
"Zima",
"V. G.",
""
]
] |
Covariant first and second quantization of the free d=4 massless superparticle are implemented with the introduction of purely gauge auxiliary spinor Lorentz harmonics. It is shown that the general solution of the condition of maslessness is a sum of two independent chiral superfields with each of them corresponding to finite superspin. A translationally covariant, in general bijective correspondence between harmonic and massless superfields is constructed. By calculation of the commutation function it is shown that in the considered approach only harmonic fields with correct connection between spin and statistics and with integer negative homogeneity index satisfy the microcausality condition. It is emphasized that harmonic fields that arise are reducible at integer points. The index spinor technique is used to describe infinite-component fields of finite spin; the equations of motion of such fields are obtained, and for them Weinberg's theorem on the connection between massless helicity particles and the type of nongauge field that describes them is generalized.
|
0707.3026
|
Igor Salom
|
Igor Salom
|
Parabose algebra as generalized conformal supersymmetry
| null | null | null | null |
hep-th
| null |
The form of realistic space-time supersymmetry is fixed, by
Haag-Lopuszanski-Sohnius theorem, either to the familiar form of Poincare
supersymmetry or, in massless case, to that of conformal supersymmetry. We
question necessity for such strict restriction in the context of theories with
broken symmetries. In particular, we consider parabose N=4 algebra as an
extension of conformal supersymmetry in four dimensions (coinciding with the,
so called, generalized conformal supersymmetry). We show that sacrificing of
manifest Lorentz covariance leads to interpretation of the generalized
conformal supersymmetry as symmetry that contains, on equal footing, two
"rotation" groups. It is possible to reduce this large symmetry down to
observable one by simply breaking one of these two SU(2) isomorphic groups down
to its U(1) subgroup.
|
[
{
"created": "Fri, 20 Jul 2007 09:41:22 GMT",
"version": "v1"
}
] |
2007-07-23
|
[
[
"Salom",
"Igor",
""
]
] |
The form of realistic space-time supersymmetry is fixed, by Haag-Lopuszanski-Sohnius theorem, either to the familiar form of Poincare supersymmetry or, in massless case, to that of conformal supersymmetry. We question necessity for such strict restriction in the context of theories with broken symmetries. In particular, we consider parabose N=4 algebra as an extension of conformal supersymmetry in four dimensions (coinciding with the, so called, generalized conformal supersymmetry). We show that sacrificing of manifest Lorentz covariance leads to interpretation of the generalized conformal supersymmetry as symmetry that contains, on equal footing, two "rotation" groups. It is possible to reduce this large symmetry down to observable one by simply breaking one of these two SU(2) isomorphic groups down to its U(1) subgroup.
|
2005.05146
|
Alexandros Kehagias
|
Gia Dvali, Alex Kehagias, Antonio Riotto
|
Inflation and Decoupling
|
5 pages
| null | null | null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Decoupling of heavy modes in effective low energy theory is one of the most
fundamental concepts in physics. It tells us that modes must have a negligible
effect on the physics of gravitational backgrounds with curvature radius larger
than their wavelengths. Despite this, there exist claims that trans-Planckian
modes put severe bound on the duration of inflation even when the Hubble
parameter is negligible as compared to the Planck mass. If true, this would
mean that inflation violates the principle of decoupling or at least requires
its reformulation. We clarify the fundamental misconception on which these
bounds are based and respectively refute them. Our conclusion is that inflation
fully falls within the validity of a reliable effective field theory treatment
and does not suffer from any spurious trans-Planckian problem.
|
[
{
"created": "Mon, 11 May 2020 14:37:23 GMT",
"version": "v1"
}
] |
2020-05-12
|
[
[
"Dvali",
"Gia",
""
],
[
"Kehagias",
"Alex",
""
],
[
"Riotto",
"Antonio",
""
]
] |
Decoupling of heavy modes in effective low energy theory is one of the most fundamental concepts in physics. It tells us that modes must have a negligible effect on the physics of gravitational backgrounds with curvature radius larger than their wavelengths. Despite this, there exist claims that trans-Planckian modes put severe bound on the duration of inflation even when the Hubble parameter is negligible as compared to the Planck mass. If true, this would mean that inflation violates the principle of decoupling or at least requires its reformulation. We clarify the fundamental misconception on which these bounds are based and respectively refute them. Our conclusion is that inflation fully falls within the validity of a reliable effective field theory treatment and does not suffer from any spurious trans-Planckian problem.
|
1211.3001
|
Ion Vasile Vancea
|
M. C. B. Abdalla, L. Holender, M. A. Santos and I. V. Vancea
|
Plane waves in noncommutative fluids
|
11 pages. Version published as a Letter
| null |
10.1016/j.physleta.2013.03.008
|
ICTP-SAIFR/2012-009
|
hep-th gr-qc math-ph math.MP physics.flu-dyn quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the dynamics of the noncommutative fuid in the Snyder space
perturbatively at the first order in powers of the noncommutative parameter.
The linearized noncommutative fluid dynamics is described by a system of
coupled linear partial differential equations in which the variables are the
fluid density and the fluid potentials. We show that these equations admit a
set of solutions that are monocromatic plane waves for the fluid density and
two of the potentials and a linear function for the third potential. The
energy-momentum tensor of the plane waves is calculated.
|
[
{
"created": "Tue, 13 Nov 2012 14:35:59 GMT",
"version": "v1"
},
{
"created": "Fri, 24 May 2013 19:46:47 GMT",
"version": "v2"
}
] |
2016-11-26
|
[
[
"Abdalla",
"M. C. B.",
""
],
[
"Holender",
"L.",
""
],
[
"Santos",
"M. A.",
""
],
[
"Vancea",
"I. V.",
""
]
] |
We study the dynamics of the noncommutative fuid in the Snyder space perturbatively at the first order in powers of the noncommutative parameter. The linearized noncommutative fluid dynamics is described by a system of coupled linear partial differential equations in which the variables are the fluid density and the fluid potentials. We show that these equations admit a set of solutions that are monocromatic plane waves for the fluid density and two of the potentials and a linear function for the third potential. The energy-momentum tensor of the plane waves is calculated.
|
hep-th/0208126
|
Akikazu Hashimoto
|
Akikazu Hashimoto and Savdeep Sethi
|
Holography and String Dynamics in Time-dependent Backgrounds
|
10 pages, minor changes, references added
|
Phys.Rev.Lett. 89 (2002) 261601
|
10.1103/PhysRevLett.89.261601
|
EFI-02-98
|
hep-th gr-qc
| null |
We study the dynamics of D-branes in a smooth time-dependent background. The
theory on the branes is a time-dependent non-commutative field theory. We find
the metric and fluxes that determine the dual holographic closed string theory.
This provides a concrete example of holography in a cosmological setting.
|
[
{
"created": "Mon, 19 Aug 2002 16:53:41 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Nov 2002 22:22:56 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Hashimoto",
"Akikazu",
""
],
[
"Sethi",
"Savdeep",
""
]
] |
We study the dynamics of D-branes in a smooth time-dependent background. The theory on the branes is a time-dependent non-commutative field theory. We find the metric and fluxes that determine the dual holographic closed string theory. This provides a concrete example of holography in a cosmological setting.
|
hep-th/9307033
| null |
A. Mikovic and M. Navarro
|
Symplectic Structure of 2D Dilaton Gravity
|
12 pgs, Imperial TP/92-93/37, La-Tex file
|
Phys.Lett.B315:267-276,1993
|
10.1016/0370-2693(93)91611-P
| null |
hep-th
| null |
We analyze the symplectic structure of two-dimensional dilaton gravity by
evaluating the symplectic form on the space of classical solutions. The case
when the spatial manifold is compact is studied in detail. When the matter is
absent we find that the reduced phase space is a two-dimensional cotangent
bundle and determine the Hilbert space of the quantum theory. In the
non-compact case the symplectic form is not well defined due to an unresolved
ambiguity in the choice of the boundary terms.
|
[
{
"created": "Tue, 6 Jul 1993 09:56:16 GMT",
"version": "v1"
}
] |
2009-01-16
|
[
[
"Mikovic",
"A.",
""
],
[
"Navarro",
"M.",
""
]
] |
We analyze the symplectic structure of two-dimensional dilaton gravity by evaluating the symplectic form on the space of classical solutions. The case when the spatial manifold is compact is studied in detail. When the matter is absent we find that the reduced phase space is a two-dimensional cotangent bundle and determine the Hilbert space of the quantum theory. In the non-compact case the symplectic form is not well defined due to an unresolved ambiguity in the choice of the boundary terms.
|
2210.09271
|
Ilya Lvovich Shapiro
|
P.M. Lavrov and I.L. Shapiro
|
Gauge invariant renormalizability of quantum gravity
|
References added. 39 pages, no figures. Invited chapter for the
Section "Effective Quantum Gravity" of the "Handbook of Quantum Gravity"
(Eds. C. Bambi, L. Modesto and I.L. Shapiro, Springer Singapore, expected in
2023). Review paper is mainly based on arXiv:1902.04687, with permission from
Physical Review D
|
Handbook of Quantum Gravity''. Eds. C. Bambi, L. Modesto and I.L.
Shapiro, Springer Singapore, 2023
|
10.1007/978-981-19-3079-9_9-1
|
ISBN: 978-981-19-3079-9
|
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
The current understanding of renormalization in quantum gravity (QG) is based
on the fact that UV divergences of effective actions in the covariant QG models
are covariant local expressions. This fundamental statement plays a central
role in QG and, therefore, it is important to prove it for the widest possible
range of the QG theories. Using the Batalin-Vilkovisky technique and the
background field method, we elaborate the proof of gauge invariant
renormalizability for a generic model of quantum gravity that is diffeomorphism
invariant and does not have additional, potentially anomalous, symmetries.
|
[
{
"created": "Mon, 17 Oct 2022 17:21:54 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Oct 2022 23:07:10 GMT",
"version": "v2"
}
] |
2024-07-30
|
[
[
"Lavrov",
"P. M.",
""
],
[
"Shapiro",
"I. L.",
""
]
] |
The current understanding of renormalization in quantum gravity (QG) is based on the fact that UV divergences of effective actions in the covariant QG models are covariant local expressions. This fundamental statement plays a central role in QG and, therefore, it is important to prove it for the widest possible range of the QG theories. Using the Batalin-Vilkovisky technique and the background field method, we elaborate the proof of gauge invariant renormalizability for a generic model of quantum gravity that is diffeomorphism invariant and does not have additional, potentially anomalous, symmetries.
|
0704.3484
|
Chethan Krishnan
|
Jarah Evslin, Chethan Krishnan, Stanislav Kuperstein
|
Cascading Quivers from Decaying D-branes
|
11 pages, 1 figure; v2: references added
|
JHEP0708:020,2007
|
10.1088/1126-6708/2007/08/020
| null |
hep-th
| null |
We use an argument analogous to that of Kachru, Pearson and Verlinde to argue
that cascades in L^{a,b,c} quiver gauge theories always preserve the form of
the quiver, and that all gauge groups drop at each step by the number M of
fractional branes. In particular, we demonstrate that an NS5-brane that sweeps
out the S^3 of the base of L^{a,b,c} destroys M D3-branes.
|
[
{
"created": "Thu, 26 Apr 2007 10:06:05 GMT",
"version": "v1"
},
{
"created": "Mon, 7 May 2007 16:08:53 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Evslin",
"Jarah",
""
],
[
"Krishnan",
"Chethan",
""
],
[
"Kuperstein",
"Stanislav",
""
]
] |
We use an argument analogous to that of Kachru, Pearson and Verlinde to argue that cascades in L^{a,b,c} quiver gauge theories always preserve the form of the quiver, and that all gauge groups drop at each step by the number M of fractional branes. In particular, we demonstrate that an NS5-brane that sweeps out the S^3 of the base of L^{a,b,c} destroys M D3-branes.
|
2207.09474
|
Marc Gillioz
|
Marc Gillioz
|
Conformal field theory for particle physicists
|
70 pages, 10 figures. v2: typos fixed. v3: publisher's
acknowledgement added. Feedback welcome
|
Marc Gillioz, "Conformal Field Theory for Particle Physicists:
From QFT Axioms to the Modern Conformal Bootstrap", 2023, SpringerBriefs in
Physics
|
10.1007/978-3-031-27086-4
| null |
hep-th hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
This is a set of introductory lecture notes on conformal field theory. Unlike
most existing reviews on the subject, CFT is presented here from the
perspective of a unitary quantum field theory in Minkowski space-time. It
begins with a non-perturbative formulation of quantum field theory (Wightman
axioms), and then gradually focuses on the implications of scale and special
conformal symmetry, all the way to the modern conformal bootstrap. This
approach includes topics often left out, such as subtleties of conformal
transformations in Minkowski space-time, the construction of Wightman functions
and time-ordered correlators both in position- and momentum-space, unitarity
bounds derived from the spectral representation, and the appearance of UV and
IR divergences.
|
[
{
"created": "Tue, 19 Jul 2022 18:00:04 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Aug 2022 13:43:07 GMT",
"version": "v2"
},
{
"created": "Wed, 3 May 2023 14:49:13 GMT",
"version": "v3"
}
] |
2023-05-04
|
[
[
"Gillioz",
"Marc",
""
]
] |
This is a set of introductory lecture notes on conformal field theory. Unlike most existing reviews on the subject, CFT is presented here from the perspective of a unitary quantum field theory in Minkowski space-time. It begins with a non-perturbative formulation of quantum field theory (Wightman axioms), and then gradually focuses on the implications of scale and special conformal symmetry, all the way to the modern conformal bootstrap. This approach includes topics often left out, such as subtleties of conformal transformations in Minkowski space-time, the construction of Wightman functions and time-ordered correlators both in position- and momentum-space, unitarity bounds derived from the spectral representation, and the appearance of UV and IR divergences.
|
0804.4190
|
Carl Bender
|
Carl M. Bender and Philip D. Mannheim
|
Exactly solvable PT-symmetric Hamiltonian having no Hermitian
counterpart
|
39 pages, 0 figures
| null |
10.1103/PhysRevD.78.025022
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In a recent paper Bender and Mannheim showed that the unequal-frequency
fourth-order derivative Pais-Uhlenbeck oscillator model has a realization in
which the energy eigenvalues are real and bounded below, the Hilbert-space
inner product is positive definite, and time evolution is unitary. Central to
that analysis was the recognition that the Hamiltonian $H_{\rm PU}$ of the
model is PT symmetric. This Hamiltonian was mapped to a conventional
Dirac-Hermitian Hamiltonian via a similarity transformation whose form was
found exactly. The present paper explores the equal-frequency limit of the same
model. It is shown that in this limit the similarity transform that was used
for the unequal-frequency case becomes singular and that $H_{\rm PU}$ becomes a
Jordan-block operator, which is nondiagonalizable and has fewer energy
eigenstates than eigenvalues. Such a Hamiltonian has no Hermitian counterpart.
Thus, the equal-frequency PT theory emerges as a distinct realization of
quantum mechanics. The quantum mechanics associated with this Jordan-block
Hamiltonian can be treated exactly. It is shown that the Hilbert space is
complete with a set of nonstationary solutions to the Schr\"odinger equation
replacing the missing stationary ones. These nonstationary states are needed to
establish that the Jordan-block Hamiltonian of the equal-frequency
Pais-Uhlenbeck model generates unitary time evolution.
|
[
{
"created": "Fri, 25 Apr 2008 23:50:14 GMT",
"version": "v1"
}
] |
2009-11-13
|
[
[
"Bender",
"Carl M.",
""
],
[
"Mannheim",
"Philip D.",
""
]
] |
In a recent paper Bender and Mannheim showed that the unequal-frequency fourth-order derivative Pais-Uhlenbeck oscillator model has a realization in which the energy eigenvalues are real and bounded below, the Hilbert-space inner product is positive definite, and time evolution is unitary. Central to that analysis was the recognition that the Hamiltonian $H_{\rm PU}$ of the model is PT symmetric. This Hamiltonian was mapped to a conventional Dirac-Hermitian Hamiltonian via a similarity transformation whose form was found exactly. The present paper explores the equal-frequency limit of the same model. It is shown that in this limit the similarity transform that was used for the unequal-frequency case becomes singular and that $H_{\rm PU}$ becomes a Jordan-block operator, which is nondiagonalizable and has fewer energy eigenstates than eigenvalues. Such a Hamiltonian has no Hermitian counterpart. Thus, the equal-frequency PT theory emerges as a distinct realization of quantum mechanics. The quantum mechanics associated with this Jordan-block Hamiltonian can be treated exactly. It is shown that the Hilbert space is complete with a set of nonstationary solutions to the Schr\"odinger equation replacing the missing stationary ones. These nonstationary states are needed to establish that the Jordan-block Hamiltonian of the equal-frequency Pais-Uhlenbeck model generates unitary time evolution.
|
1007.2133
|
Jan Weenink
|
Jan Weenink and Tomislav Prokopec
|
Gauge invariant cosmological perturbations for the nonminimally coupled
inflaton field
|
21 pages, references added, typos corrected, extended section IV on
Higgs inflation
|
Phys.Rev.D82:123510,2010
|
10.1103/PhysRevD.82.123510
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct the gauge invariant free action for cosmological perturbations
for the nonminimally coupled inflaton field in the Jordan frame. For this the
phase space formalism is used, which keeps track of all the dynamical and
constraint fields. We perform explicit conformal transformations to demonstrate
the physical equivalence between the Jordan and Einstein frames at the level of
quadratic perturbations. We show how to generalize the formalism to the case of
a more complicated scalar sector with an internal symmetry, such as Higgs
inflation. This work represents a first step in developing gauge invariant
perturbation theory for nonminimally coupled inflationary models.
|
[
{
"created": "Tue, 13 Jul 2010 16:28:57 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Dec 2010 10:24:54 GMT",
"version": "v2"
}
] |
2010-12-23
|
[
[
"Weenink",
"Jan",
""
],
[
"Prokopec",
"Tomislav",
""
]
] |
We construct the gauge invariant free action for cosmological perturbations for the nonminimally coupled inflaton field in the Jordan frame. For this the phase space formalism is used, which keeps track of all the dynamical and constraint fields. We perform explicit conformal transformations to demonstrate the physical equivalence between the Jordan and Einstein frames at the level of quadratic perturbations. We show how to generalize the formalism to the case of a more complicated scalar sector with an internal symmetry, such as Higgs inflation. This work represents a first step in developing gauge invariant perturbation theory for nonminimally coupled inflationary models.
|
hep-th/0304087
|
Anton Galajinsky
|
Stefano Bellucci, Anton Galajinsky and Sergey Krivonos
|
Many-Body Superconformal Systems from Hamiltonian Reductions
|
12 pages, no figures. v2: Title changed. New material and
acknowledgements added
|
Phys.Rev. D68 (2003) 064010
|
10.1103/PhysRevD.68.064010
| null |
hep-th
| null |
We propose a new reduction mechanism which allows one to construct n-particle
(super)conformal theories with pairwise interaction starting from a composite
system involving n(n-1)/2+1 copies of the ordinary (super)conformal mechanics.
Applications of the scheme include an N=4 superconformal extension for a
complexification of the Calogero model and a D(2,1|\alpha)-invariant n-particle
system.
|
[
{
"created": "Wed, 9 Apr 2003 15:05:18 GMT",
"version": "v1"
},
{
"created": "Wed, 14 May 2003 15:56:55 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Bellucci",
"Stefano",
""
],
[
"Galajinsky",
"Anton",
""
],
[
"Krivonos",
"Sergey",
""
]
] |
We propose a new reduction mechanism which allows one to construct n-particle (super)conformal theories with pairwise interaction starting from a composite system involving n(n-1)/2+1 copies of the ordinary (super)conformal mechanics. Applications of the scheme include an N=4 superconformal extension for a complexification of the Calogero model and a D(2,1|\alpha)-invariant n-particle system.
|
1703.05222
|
Sven K\"oppel
|
Sven K\"oppel, Marco Knipfer, Maximiliano Isi, Jonas Mureika, Piero
Nicolini
|
Generalized uncertainty principle and extra dimensions
|
7 pages, 1 figure, talk given at the 2nd Karl Schwarzschild Meeting,
Frankfurt am Main, Germany, July 2015; to be published in Springer
Proceedings in Physics. V3: minor corrections
| null | null | null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
The generalized uncertainty principle (GUP) is a modification of standard
quantum mechanics due to Planck scale effects. The GUP has recently been used
to improve the short distance behaviour of classical black hole spacetimes by
invoking nonlocal modifications of the gravity action. We present the problem
of extending such a GUP scenario to higher dimensional spacetimes and we
critically review the existing literature on the topic.
|
[
{
"created": "Wed, 15 Mar 2017 15:54:57 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Mar 2017 14:45:43 GMT",
"version": "v2"
},
{
"created": "Mon, 12 Jun 2017 08:12:24 GMT",
"version": "v3"
}
] |
2017-06-14
|
[
[
"Köppel",
"Sven",
""
],
[
"Knipfer",
"Marco",
""
],
[
"Isi",
"Maximiliano",
""
],
[
"Mureika",
"Jonas",
""
],
[
"Nicolini",
"Piero",
""
]
] |
The generalized uncertainty principle (GUP) is a modification of standard quantum mechanics due to Planck scale effects. The GUP has recently been used to improve the short distance behaviour of classical black hole spacetimes by invoking nonlocal modifications of the gravity action. We present the problem of extending such a GUP scenario to higher dimensional spacetimes and we critically review the existing literature on the topic.
|
hep-th/0107075
|
Dileep P. Jatkar
|
Dileep P. Jatkar, Subrata Sur and Radhika Vathsan
|
A Note on Fermion and Gauge Couplings in Field Theory Models for Tachyon
Condensation
|
10 pages, 2 figures, LaTeX
|
Phys.Lett. B520 (2001) 391-397
|
10.1016/S0370-2693(01)01133-9
|
MRI-P-010701
|
hep-th
| null |
We study soliton solutions in supersymmetric scalar field theory with a class
of potentials. We study both bosonic and fermionic zero-modes around the
soliton solution. We study two possible couplings of gauge fields to these
models. While the Born-Infeld like coupling has one normalizable mode (the zero
mode), the other kind of coupling has no normalizable modes. We show that
quantum mechanical problem which determines the spectrum of fluctuation modes
of the scalar, fermion and the gauge field is identical. We also show that only
the lowest lying mode, i.e., the zero mode, is normalizable and the rest of the
spectrum is continuous.
|
[
{
"created": "Tue, 10 Jul 2001 05:54:27 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Jatkar",
"Dileep P.",
""
],
[
"Sur",
"Subrata",
""
],
[
"Vathsan",
"Radhika",
""
]
] |
We study soliton solutions in supersymmetric scalar field theory with a class of potentials. We study both bosonic and fermionic zero-modes around the soliton solution. We study two possible couplings of gauge fields to these models. While the Born-Infeld like coupling has one normalizable mode (the zero mode), the other kind of coupling has no normalizable modes. We show that quantum mechanical problem which determines the spectrum of fluctuation modes of the scalar, fermion and the gauge field is identical. We also show that only the lowest lying mode, i.e., the zero mode, is normalizable and the rest of the spectrum is continuous.
|
1102.3166
|
Reinhard Alkofer
|
Reinhard Alkofer
|
On Confinement, Chiral Symmetry Breaking, and the UA(1) anomaly in
Functional Approaches
|
10 pages, 2 figures; talk given at the workshop "The many faces of
QCD", 1-5 Nov 2010, Ghent, Belgium
|
PoS FacesQCD:030,2010
| null | null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The so-called decoupling and scaling solutions of functional equations of
Landau gauge Yang-Mills theory are briefly reviewed. In both types of solutions
the positivity violation seen in the gluon propagator is taken as an indication
of gluon confinement. In the scaling solution the resulting infrared
singularities of the quark-gluon vertex are responsible for the linear
potential between static quarks and are therefore signaling quark confinement.
A corresponding description of the UA(1) anomaly in functional approaches is
only known for the scaling solution. Nevertheless, it seems puzzling at first
sight that quark confinement is related to the dynamical and anomalous breaking
of chiral symmetry in a self-consistent manner: One obtains either all these
phenomena or none. For the scaling solution also fundamental scalar fields are
confined. This provides evidence that within functional approaches static
confinement is an universal property of the gauge sector even though it is
formally represented in the functional equations of the matter sector.
|
[
{
"created": "Tue, 15 Feb 2011 20:00:46 GMT",
"version": "v1"
}
] |
2011-09-06
|
[
[
"Alkofer",
"Reinhard",
""
]
] |
The so-called decoupling and scaling solutions of functional equations of Landau gauge Yang-Mills theory are briefly reviewed. In both types of solutions the positivity violation seen in the gluon propagator is taken as an indication of gluon confinement. In the scaling solution the resulting infrared singularities of the quark-gluon vertex are responsible for the linear potential between static quarks and are therefore signaling quark confinement. A corresponding description of the UA(1) anomaly in functional approaches is only known for the scaling solution. Nevertheless, it seems puzzling at first sight that quark confinement is related to the dynamical and anomalous breaking of chiral symmetry in a self-consistent manner: One obtains either all these phenomena or none. For the scaling solution also fundamental scalar fields are confined. This provides evidence that within functional approaches static confinement is an universal property of the gauge sector even though it is formally represented in the functional equations of the matter sector.
|
1503.01579
|
Panagiota Kanti
|
Panagiota Kanti, Radouane Gannouji and Naresh Dadhich
|
Gauss-Bonnet Inflation
|
6 pages, Revtex, 3 figures, introduction updated, a section added,
typos corrected, accepted as a Rapid Communications article in Physical
Review D
|
Phys. Rev. D 92, 041302 (2015)
|
10.1103/PhysRevD.92.041302
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider an Einstein-Scalar-Gauss-Bonnet gravitational theory, and argue
that at early times the Ricci scalar can be safely ignored. We then demonstrate
that the pure scalar-Gauss-Bonnet theory, with a quadratic coupling function,
naturally supports inflationary -- de Sitter -- solutions. During inflation,
the scalar field decays exponentially and its effective potential remains
always bounded. The theory contains also solutions where these de Sitter phases
possess a natural exit mechanism and are replaced by linearly expanding --
Milne -- phases.
|
[
{
"created": "Thu, 5 Mar 2015 09:03:41 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Jul 2015 20:50:09 GMT",
"version": "v2"
}
] |
2015-09-02
|
[
[
"Kanti",
"Panagiota",
""
],
[
"Gannouji",
"Radouane",
""
],
[
"Dadhich",
"Naresh",
""
]
] |
We consider an Einstein-Scalar-Gauss-Bonnet gravitational theory, and argue that at early times the Ricci scalar can be safely ignored. We then demonstrate that the pure scalar-Gauss-Bonnet theory, with a quadratic coupling function, naturally supports inflationary -- de Sitter -- solutions. During inflation, the scalar field decays exponentially and its effective potential remains always bounded. The theory contains also solutions where these de Sitter phases possess a natural exit mechanism and are replaced by linearly expanding -- Milne -- phases.
|
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