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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9906009
|
Norma Sanchez Demirm
|
M. Ramon Medrano and N. Sanchez
|
Hawking Radiation in String Theory and the String Phase of Black Holes
|
LaTex, 31 pages, no figures
| null |
10.1142/9789812792938_0010
| null |
hep-th astro-ph gr-qc hep-ph
| null |
The quantum string emission by Black Holes is computed in the framework of
the `string analogue model' (or thermodynamical approach), which is well suited
to combine QFT and string theory in curved backgrounds (particulary here, as
black holes and strings posses intrinsic thermal features and temperatures).
The QFT-Hawking temperature T_H is upper bounded by the string temperature T_S
in the black hole background. The black hole emission spectrum is an incomplete
gamma function of (T_H - T_S). For T_H << T_S, it yields the QFT-Hawking
emission. For T_H \to T_S, it shows highly massive string states dominate the
emission and undergo a typical string phase transition to a microscopic
`minimal' black hole of mass M_{\min} or radius r_{\min} (inversely
proportional to T_S) and string temperature T_S. The semiclassical QFT black
hole (of mass M and temperature T_H) and the string black hole (of mass M_{min}
and temperature T_S) are mapped one into another by a `Dual' transform which
links classical/QFT and quantum string regimes. The string back reaction effect
(selfconsistent black hole solution of the semiclassical Einstein equations
with mass M_+ (radius r_+) and temperature T_+) is computed. Both, the QFT and
string black hole regimes are well defined and bounded: r_{min} leq r_+ \leq
r_S, M_{min} \leq M_+ \leq M, T_H \leq T_+ \leq T_S. The string `minimal' black
hole has a life time tau_{min} \simeq \frac{k_B c}{G \hbar} T^{-3}_S.
|
[
{
"created": "Tue, 1 Jun 1999 16:11:26 GMT",
"version": "v1"
}
] |
2017-08-23
|
[
[
"Medrano",
"M. Ramon",
""
],
[
"Sanchez",
"N.",
""
]
] |
The quantum string emission by Black Holes is computed in the framework of the `string analogue model' (or thermodynamical approach), which is well suited to combine QFT and string theory in curved backgrounds (particulary here, as black holes and strings posses intrinsic thermal features and temperatures). The QFT-Hawking temperature T_H is upper bounded by the string temperature T_S in the black hole background. The black hole emission spectrum is an incomplete gamma function of (T_H - T_S). For T_H << T_S, it yields the QFT-Hawking emission. For T_H \to T_S, it shows highly massive string states dominate the emission and undergo a typical string phase transition to a microscopic `minimal' black hole of mass M_{\min} or radius r_{\min} (inversely proportional to T_S) and string temperature T_S. The semiclassical QFT black hole (of mass M and temperature T_H) and the string black hole (of mass M_{min} and temperature T_S) are mapped one into another by a `Dual' transform which links classical/QFT and quantum string regimes. The string back reaction effect (selfconsistent black hole solution of the semiclassical Einstein equations with mass M_+ (radius r_+) and temperature T_+) is computed. Both, the QFT and string black hole regimes are well defined and bounded: r_{min} leq r_+ \leq r_S, M_{min} \leq M_+ \leq M, T_H \leq T_+ \leq T_S. The string `minimal' black hole has a life time tau_{min} \simeq \frac{k_B c}{G \hbar} T^{-3}_S.
|
hep-th/9812064
|
Martin Speight
|
J.M. Speight
|
Topological discrete kinks
|
14 pages LaTeX, 7 postscript figures
|
Nonlinearity 12 (1999) 1373-1387
|
10.1088/0951-7715/12/5/311
|
MPI fuer Mathematik i. d. Naturwissenschaften, preprint 65
|
hep-th
| null |
A spatially discrete version of the general kink-bearing nonlinear
Klein-Gordon model in (1+1) dimensions is constructed which preserves the
topological lower bound on kink energy. It is proved that, provided the lattice
spacing h is sufficiently small, there exist static kink solutions attaining
this lower bound centred anywhere relative to the spatial lattice. Hence there
is no Peierls-Nabarro barrier impeding the propagation of kinks in this
discrete system. An upper bound on h is derived and given a physical
interpretation in terms of the radiation of the system. The construction, which
works most naturally when the nonlinear Klein-Gordon model has a squared
polynomial interaction potential, is applied to a recently proposed continuum
model of polymer twistons. Numerical simulations are presented which
demonstrate that kink pinning is eliminated, and radiative kink deceleration
greatly reduced in comparison with the conventional discrete system. So even on
a very coarse lattice, kinks behave much as they do in the continuum. It is
argued, therefore, that the construction provides a natural means of
numerically simulating kink dynamics in nonlinear Klein-Gordon models of this
type. The construction is compared with the inverse method of Flach, Zolotaryuk
and Kladko. Using the latter method, alternative spatial discretizations of the
twiston and sine-Gordon models are obtained which are also free of the
Peierls-Nabarro barrier.
|
[
{
"created": "Tue, 8 Dec 1998 10:59:18 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Speight",
"J. M.",
""
]
] |
A spatially discrete version of the general kink-bearing nonlinear Klein-Gordon model in (1+1) dimensions is constructed which preserves the topological lower bound on kink energy. It is proved that, provided the lattice spacing h is sufficiently small, there exist static kink solutions attaining this lower bound centred anywhere relative to the spatial lattice. Hence there is no Peierls-Nabarro barrier impeding the propagation of kinks in this discrete system. An upper bound on h is derived and given a physical interpretation in terms of the radiation of the system. The construction, which works most naturally when the nonlinear Klein-Gordon model has a squared polynomial interaction potential, is applied to a recently proposed continuum model of polymer twistons. Numerical simulations are presented which demonstrate that kink pinning is eliminated, and radiative kink deceleration greatly reduced in comparison with the conventional discrete system. So even on a very coarse lattice, kinks behave much as they do in the continuum. It is argued, therefore, that the construction provides a natural means of numerically simulating kink dynamics in nonlinear Klein-Gordon models of this type. The construction is compared with the inverse method of Flach, Zolotaryuk and Kladko. Using the latter method, alternative spatial discretizations of the twiston and sine-Gordon models are obtained which are also free of the Peierls-Nabarro barrier.
|
1604.06004
|
Ashok Kapoor
|
A. K. Kapoor
|
Quantum Mechanics in Pseudotime
|
20 pages,22 References
| null | null | null |
hep-th quant-ph
|
http://creativecommons.org/publicdomain/zero/1.0/
|
Based on some results on reparmetrisation of time in Hamiltonian path
integral formalism, a pseudo time formulation of operator formalism of quantum
mechanics is presented. Relation of reparametrisation of time in quantum with
super symmetric quantum mechanics is established. We show how some important
concepts such as shape invariance and tools like isospectral deformation appear
in pseudo time quantum mechanics.
|
[
{
"created": "Wed, 20 Apr 2016 15:34:27 GMT",
"version": "v1"
}
] |
2016-04-21
|
[
[
"Kapoor",
"A. K.",
""
]
] |
Based on some results on reparmetrisation of time in Hamiltonian path integral formalism, a pseudo time formulation of operator formalism of quantum mechanics is presented. Relation of reparametrisation of time in quantum with super symmetric quantum mechanics is established. We show how some important concepts such as shape invariance and tools like isospectral deformation appear in pseudo time quantum mechanics.
|
1304.6418
|
Tobias Huber
|
Johannes M. Henn (IAS Princeton), Tobias Huber (Siegen U)
|
The four-loop cusp anomalous dimension in N=4 super Yang-Mills and
analytic integration techniques for Wilson line integrals
|
29 pages, 5 figures. Title modified, sections 2 and 4 extended,
references added. Matches published version
| null |
10.1007/JHEP09(2013)147
|
SI-HEP-2013-03
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Correlation functions of Wilson lines are relevant for describing the
infrared structure of scattering amplitudes. We develop a new method for
evaluating a wide class of such Wilson line integrals, and apply it to the
calculation of the velocity-dependent cusp anomalous dimension in maximally
supersymmetric Yang-Mills theory. We compute the four-loop non-planar
correction in a recently introduced scaling limit. Moreover, we derive the full
planar four-loop result by means of an ansatz which is based on the structure
of known analytic results. We determine the coefficients in this ansatz by
making use of a relationship to massive scattering amplitudes. As a corollary,
our analytical result confirms the four-loop value of the light-like cusp
anomalous dimension. Finally, we use the available perturbative data, as well
as insight from AdS/CFT, in order to extrapolate the leading order values at
strong coupling. The latter agree within two per cent with the corresponding
string theory result, over a wide range of parameters.
|
[
{
"created": "Tue, 23 Apr 2013 20:32:29 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Sep 2013 06:18:24 GMT",
"version": "v2"
}
] |
2015-06-15
|
[
[
"Henn",
"Johannes M.",
"",
"IAS Princeton"
],
[
"Huber",
"Tobias",
"",
"Siegen U"
]
] |
Correlation functions of Wilson lines are relevant for describing the infrared structure of scattering amplitudes. We develop a new method for evaluating a wide class of such Wilson line integrals, and apply it to the calculation of the velocity-dependent cusp anomalous dimension in maximally supersymmetric Yang-Mills theory. We compute the four-loop non-planar correction in a recently introduced scaling limit. Moreover, we derive the full planar four-loop result by means of an ansatz which is based on the structure of known analytic results. We determine the coefficients in this ansatz by making use of a relationship to massive scattering amplitudes. As a corollary, our analytical result confirms the four-loop value of the light-like cusp anomalous dimension. Finally, we use the available perturbative data, as well as insight from AdS/CFT, in order to extrapolate the leading order values at strong coupling. The latter agree within two per cent with the corresponding string theory result, over a wide range of parameters.
|
hep-th/0511143
|
Maria Emilia Guimaraes
|
M. C. B. Abdalla (IFT/Unesp), A. A. Bytsenko (DF/Uel) and M. E. X.
Guimaraes (MAT/Unb)
|
Combinatorial Identities and Quantum State Densities of Supersymmetric
Sigma Models on N-Folds
|
8 pages, no figures. To appear in the European Physical Journal C
|
Eur.Phys.J.C44:607-612,2005
|
10.1140/epjc/s2005-02395-5
| null |
hep-th
| null |
There is a remarkable connection between the number of quantum states of
conformal theories and the sequence of dimensions of Lie algebras. In this
paper, we explore this connection by computing the asymptotic expansion of the
elliptic genus and the microscopic entropy of black holes associated with
(supersymmetric) sigma models. The new features of these results are the
appearance of correct prefactors in the state density expansion and in the
coefficient of the logarithmic correction to the entropy.
|
[
{
"created": "Mon, 14 Nov 2005 13:05:51 GMT",
"version": "v1"
}
] |
2009-01-07
|
[
[
"Abdalla",
"M. C. B.",
"",
"IFT/Unesp"
],
[
"Bytsenko",
"A. A.",
"",
"DF/Uel"
],
[
"Guimaraes",
"M. E. X.",
"",
"MAT/Unb"
]
] |
There is a remarkable connection between the number of quantum states of conformal theories and the sequence of dimensions of Lie algebras. In this paper, we explore this connection by computing the asymptotic expansion of the elliptic genus and the microscopic entropy of black holes associated with (supersymmetric) sigma models. The new features of these results are the appearance of correct prefactors in the state density expansion and in the coefficient of the logarithmic correction to the entropy.
|
2401.03208
|
Bruno Soares
|
Bruno Rodrigues Soares
|
Constructing massive superstring vertex operators from massless vertex
operators using the pure spinor formalism
|
16 pages; v2: minor corrections
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
The vertex operator for the first massive states of the open superstring is
constructed in terms of d=10 super Yang-Mills superfields using the OPE's of
massless vertex operators in the pure spinor formalism.
|
[
{
"created": "Sat, 6 Jan 2024 12:59:12 GMT",
"version": "v1"
},
{
"created": "Sat, 3 Feb 2024 21:06:55 GMT",
"version": "v2"
}
] |
2024-02-06
|
[
[
"Soares",
"Bruno Rodrigues",
""
]
] |
The vertex operator for the first massive states of the open superstring is constructed in terms of d=10 super Yang-Mills superfields using the OPE's of massless vertex operators in the pure spinor formalism.
|
hep-th/0110030
|
Takeshi Inagaki
|
Takeshi Inagaki
|
Gauge Field on Brane in M-atrix Theory
|
3 pages
| null | null | null |
hep-th
| null |
In this ultra short note, gauge field propagation in D-brane configuration of
M theory in the BFSS matrix formulation is considered. Noncommutativity of the
space plays a key role for appearance of gauge fields as physical degrees of
freedom.
|
[
{
"created": "Wed, 3 Oct 2001 05:55:48 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Inagaki",
"Takeshi",
""
]
] |
In this ultra short note, gauge field propagation in D-brane configuration of M theory in the BFSS matrix formulation is considered. Noncommutativity of the space plays a key role for appearance of gauge fields as physical degrees of freedom.
|
0811.3250
|
Leonardo Mondaini
|
Leonardo Mondaini, E. C. Marino, A. A. Schmidt
|
Vanishing conductivity of quantum solitons in polyacetylene
|
To appear in J. Phys. A: Math. Theor., 15 pages
|
J.Phys.A42:055401,2009
|
10.1088/1751-8113/42/5/055401
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Quantum solitons or polarons are supposed to play a crucial role in the
electric conductivity of polyacetylene, in the intermediate doping regime. We
present an exact fully quantized calculation of the quantum soliton
conductivity in polyacetylene and show that it vanishes exactly. This is
obtained by applying a general method of soliton quantization, based on
order-disorder duality, to a Z(2)-symmetric complex extension of the TLM
dimerization effective field theory. We show that, in this theory,
polyacetylene solitons are sine-Gordon solitons in the phase of the complex
field.
|
[
{
"created": "Thu, 20 Nov 2008 01:43:35 GMT",
"version": "v1"
}
] |
2009-01-14
|
[
[
"Mondaini",
"Leonardo",
""
],
[
"Marino",
"E. C.",
""
],
[
"Schmidt",
"A. A.",
""
]
] |
Quantum solitons or polarons are supposed to play a crucial role in the electric conductivity of polyacetylene, in the intermediate doping regime. We present an exact fully quantized calculation of the quantum soliton conductivity in polyacetylene and show that it vanishes exactly. This is obtained by applying a general method of soliton quantization, based on order-disorder duality, to a Z(2)-symmetric complex extension of the TLM dimerization effective field theory. We show that, in this theory, polyacetylene solitons are sine-Gordon solitons in the phase of the complex field.
|
hep-th/9412231
| null |
Wolfram Boenkost
|
Vertex--Operatoren, Darstellungen der Virasoro--Algebra und konforme
Quantenfeldtheorie
|
118 pages (german) latex
| null | null | null |
hep-th
| null |
In this work we describe the mathematical foundations used in the
construction of primary fields of minimal models of conformal field theory. The
work contains two parts: In the first part we give a description of Verma and
Fock modules for the Virasoro algebra and develop their imbedding patterns.
This part is a simplification of the work of Feigin and Fuks (we correct a
mistake in their patterns in the case III_+), Rocha-Charidi and some new ideas
which yield a simplification of the original papers. In the second part we
define (free) vertex operators as unbounded Hilbert space operators, acting on
Fock spaces, which are Virasoro modules. We prove several properties of these
operators: under appropriate conditions vertex operators are densely defined,
not closable operators. Radially ordered products of vertex operators exists on
a dense subset. We prove commutation relations between vertex operators and
elements of the Virasoro algebra. Next we define, following the (non rigouros)
work of G. Felder, integrated vertex operators and prove that these operators
resemble the properties of the not integrated vertex operators. Special
integrated vertex operators can be identified with conformal fields and a
Virasoro invariant subspace of Fock space can be identified with the physical
Hilbert space for the conformal theory.
|
[
{
"created": "Thu, 29 Dec 1994 11:31:20 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Boenkost",
"Wolfram",
""
]
] |
In this work we describe the mathematical foundations used in the construction of primary fields of minimal models of conformal field theory. The work contains two parts: In the first part we give a description of Verma and Fock modules for the Virasoro algebra and develop their imbedding patterns. This part is a simplification of the work of Feigin and Fuks (we correct a mistake in their patterns in the case III_+), Rocha-Charidi and some new ideas which yield a simplification of the original papers. In the second part we define (free) vertex operators as unbounded Hilbert space operators, acting on Fock spaces, which are Virasoro modules. We prove several properties of these operators: under appropriate conditions vertex operators are densely defined, not closable operators. Radially ordered products of vertex operators exists on a dense subset. We prove commutation relations between vertex operators and elements of the Virasoro algebra. Next we define, following the (non rigouros) work of G. Felder, integrated vertex operators and prove that these operators resemble the properties of the not integrated vertex operators. Special integrated vertex operators can be identified with conformal fields and a Virasoro invariant subspace of Fock space can be identified with the physical Hilbert space for the conformal theory.
|
hep-th/0403027
|
Axel Krause
|
Melanie Becker (Maryland U.), Gottfried Curio (Humboldt U., Berlin),
Axel Krause (Maryland U.)
|
De Sitter Vacua from Heterotic M-Theory
|
45 pages, 5 figures, typos corrected
|
Nucl.Phys.B693:223-260,2004
|
10.1016/j.nuclphysb.2004.06.019
|
UMD-PP-04-016, HU-EP-04/14
|
hep-th
| null |
It is shown how metastable de Sitter vacua might arise from heterotic
M-theory. The balancing of its two non-perturbative effects, open membrane
instantons against gaugino condensation on the hidden boundary, which act with
opposing forces on the interval length, is used to stabilize the orbifold
modulus (dilaton) and other moduli. The non-perturbative effects break
supersymmetry spontaneously through F-terms which leads to a positive vacuum
energy density. In contrast to the situation for the weakly coupled heterotic
string, the charged scalar matter fields receive non-vanishing vacuum
expectation values and therefore masses in a phenomenologically relevant
regime. It is important that in order to obtain these de Sitter vacua we are
not relying on exotic effects or fine-tuning of parameters. Vacua with more
realistic supersymmetry breaking scales and gravitino masses are obtained by
breaking the hidden $E_8$ gauge group down to groups of smaller rank. Also
small values for the open membrane instanton Pfaffian are favored in this
respect. Finally we outline how the incorporation of additional flux
superpotentials can be used to stabilize the remaining moduli.
|
[
{
"created": "Tue, 2 Mar 2004 01:13:21 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Mar 2004 00:54:43 GMT",
"version": "v2"
},
{
"created": "Mon, 14 Jun 2004 23:56:30 GMT",
"version": "v3"
}
] |
2011-07-19
|
[
[
"Becker",
"Melanie",
"",
"Maryland U."
],
[
"Curio",
"Gottfried",
"",
"Humboldt U., Berlin"
],
[
"Krause",
"Axel",
"",
"Maryland U."
]
] |
It is shown how metastable de Sitter vacua might arise from heterotic M-theory. The balancing of its two non-perturbative effects, open membrane instantons against gaugino condensation on the hidden boundary, which act with opposing forces on the interval length, is used to stabilize the orbifold modulus (dilaton) and other moduli. The non-perturbative effects break supersymmetry spontaneously through F-terms which leads to a positive vacuum energy density. In contrast to the situation for the weakly coupled heterotic string, the charged scalar matter fields receive non-vanishing vacuum expectation values and therefore masses in a phenomenologically relevant regime. It is important that in order to obtain these de Sitter vacua we are not relying on exotic effects or fine-tuning of parameters. Vacua with more realistic supersymmetry breaking scales and gravitino masses are obtained by breaking the hidden $E_8$ gauge group down to groups of smaller rank. Also small values for the open membrane instanton Pfaffian are favored in this respect. Finally we outline how the incorporation of additional flux superpotentials can be used to stabilize the remaining moduli.
|
1603.02557
|
Takahiro Terada
|
Kazunori Nakayama, Ken'ichi Saikawa, Takahiro Terada, and Masahide
Yamaguchi
|
Structure of K\"ahler potential for D-term inflationary attractor models
|
31 pages, 3 figures; version 2, published version, minor revision
|
JHEP 05 (2016) 067
|
10.1007/JHEP05(2016)067
|
APCTP Pre2016-007, DESY 16-043, UT-16-12
|
hep-th astro-ph.CO hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Minimal chaotic models of D-term inflation predicts too large primordial
tensor perturbations. Although it can be made consistent with observations
utilizing higher order terms in the K\"ahler potential, expansion is not
controlled in the absence of symmetries. We comprehensively study the
conditions of K\"ahler potential for D-term plateau-type potentials and discuss
its symmetry. They include the alpha-attractor model with a massive vector
supermultiplet and its generalization leading to pole inflation of arbitrary
order. We extend the models so that it can describe Coulomb phase, gauge
anomaly is cancelled, and fields other than inflaton are stabilized during
inflation. We also point out a generic issue for large-field D-term inflation
that the masses of the non-inflaton fields tend to exceed the Planck scale.
|
[
{
"created": "Tue, 8 Mar 2016 15:45:36 GMT",
"version": "v1"
},
{
"created": "Thu, 12 May 2016 07:00:23 GMT",
"version": "v2"
}
] |
2016-05-13
|
[
[
"Nakayama",
"Kazunori",
""
],
[
"Saikawa",
"Ken'ichi",
""
],
[
"Terada",
"Takahiro",
""
],
[
"Yamaguchi",
"Masahide",
""
]
] |
Minimal chaotic models of D-term inflation predicts too large primordial tensor perturbations. Although it can be made consistent with observations utilizing higher order terms in the K\"ahler potential, expansion is not controlled in the absence of symmetries. We comprehensively study the conditions of K\"ahler potential for D-term plateau-type potentials and discuss its symmetry. They include the alpha-attractor model with a massive vector supermultiplet and its generalization leading to pole inflation of arbitrary order. We extend the models so that it can describe Coulomb phase, gauge anomaly is cancelled, and fields other than inflaton are stabilized during inflation. We also point out a generic issue for large-field D-term inflation that the masses of the non-inflaton fields tend to exceed the Planck scale.
|
hep-th/9705225
|
Kasper Peeters
|
Bernard de Wit, Kasper Peeters and Jan Plefka
|
Supermembranes with Winding
|
10 pages, LaTeX2e
|
Phys.Lett. B409 (1997) 117-123
|
10.1016/S0370-2693(97)00867-8
|
THU-97/11, NIKHEF 97-020
|
hep-th
| null |
We study supermembranes in the light-cone gauge in eleven flat dimensions
with compact directions. The membrane states are subject to only the central
charges associated with closed two-branes, which, in this case, are generated
by the winding itself. We present arguments why this winding leaves the mass
spectrum continuous. The lower bound on the mass spectrum is set by the winding
number and corresponds to a BPS state.
|
[
{
"created": "Wed, 28 May 1997 21:30:36 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"de Wit",
"Bernard",
""
],
[
"Peeters",
"Kasper",
""
],
[
"Plefka",
"Jan",
""
]
] |
We study supermembranes in the light-cone gauge in eleven flat dimensions with compact directions. The membrane states are subject to only the central charges associated with closed two-branes, which, in this case, are generated by the winding itself. We present arguments why this winding leaves the mass spectrum continuous. The lower bound on the mass spectrum is set by the winding number and corresponds to a BPS state.
|
2301.02093
|
Thomas Muller
|
T. Krajewski, T. Muller and A. Tanasa
|
Double scaling limit of the prismatic tensor model
|
40 pages, many figures
| null |
10.1088/1751-8121/accf4e
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In S. Giombi, I. Klebanov, F. Popov, S. Prakash and G. Tarnopolsky, {\it
Phys. Rev.} {\bf D} 98 (2018) 10, 105005, a prismatic tensor model was
introduced. We study here the diagrammatics and the double scaling limit of
this model, using the intermediate field method. We explicitly exhibit the
next-to-leading order Feynman graphs in the $1/N$ expansion. Using appropriate
combinatorial tools, we further study the general term of the $1/N$ expansion
and we compute the $2-$point function in the double scaling limit.
|
[
{
"created": "Thu, 5 Jan 2023 15:00:12 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Apr 2023 14:02:19 GMT",
"version": "v2"
}
] |
2023-04-25
|
[
[
"Krajewski",
"T.",
""
],
[
"Muller",
"T.",
""
],
[
"Tanasa",
"A.",
""
]
] |
In S. Giombi, I. Klebanov, F. Popov, S. Prakash and G. Tarnopolsky, {\it Phys. Rev.} {\bf D} 98 (2018) 10, 105005, a prismatic tensor model was introduced. We study here the diagrammatics and the double scaling limit of this model, using the intermediate field method. We explicitly exhibit the next-to-leading order Feynman graphs in the $1/N$ expansion. Using appropriate combinatorial tools, we further study the general term of the $1/N$ expansion and we compute the $2-$point function in the double scaling limit.
|
1509.08907
|
Diego Julio Cirilo-Lombardo
|
A. B. Arbuzov and D. J. Cirilo-Lombardo
|
Radiatively Induced Breaking of Conformal Symmetry in a Superpotential
|
Improved final version with new references and misprints corrected, 9
pages , no figures
|
Physics Letters B 758, 10 July 2016, 125-128
|
10.1016/j.physletb.2016.05.009
| null |
hep-th hep-ph math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Radiatively induced symmetry breaking is considered for a toy model with one
scalar and one fermion field unified in a superfield. It is shown that the
classical quartic self-interaction of the superfield possesses a quantum
infrared singularity. Application of the Coleman-Weinberg mechanism for
effective potential leads to the appearance of condensates and masses for both
scalar and fermion components. That induces a spontaneous breaking of the
initial classical symmetries: the supersymmetry and the conformal one. The
energy scales for the scalar and fermion condensates appear to be of the same
order, while the renormalization scale is many orders of magnitude higher. A
possibility to relate the considered toy model to conformal symmetry breaking
in the Standard Model is discussed.
|
[
{
"created": "Tue, 29 Sep 2015 19:50:49 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Oct 2015 07:47:21 GMT",
"version": "v2"
},
{
"created": "Sun, 22 May 2016 13:46:11 GMT",
"version": "v3"
}
] |
2016-05-24
|
[
[
"Arbuzov",
"A. B.",
""
],
[
"Cirilo-Lombardo",
"D. J.",
""
]
] |
Radiatively induced symmetry breaking is considered for a toy model with one scalar and one fermion field unified in a superfield. It is shown that the classical quartic self-interaction of the superfield possesses a quantum infrared singularity. Application of the Coleman-Weinberg mechanism for effective potential leads to the appearance of condensates and masses for both scalar and fermion components. That induces a spontaneous breaking of the initial classical symmetries: the supersymmetry and the conformal one. The energy scales for the scalar and fermion condensates appear to be of the same order, while the renormalization scale is many orders of magnitude higher. A possibility to relate the considered toy model to conformal symmetry breaking in the Standard Model is discussed.
|
2007.10562
|
Jiaqi Lou
|
Jiaqi Lou, Ce Shen, Chaoyi Chen, Ling-Yan Hung
|
A (Dummy's) Guide to Working with Gapped Boundaries via (Fermion)
Condensation
|
52 pages main text and 22 pages appendix, mathematica code for
computing 6j symbols of condensed phase included; correct some typos and
equations; correct some typos and rearrange the position of some figures
| null |
10.1007/JHEP02(2021)171
| null |
hep-th cond-mat.str-el quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study gapped boundaries characterized by "fermionic condensates" in 2+1 d
topological order. Mathematically, each of these condensates can be described
by a super commutative Frobenius algebra. We systematically obtain the species
of excitations at the gapped boundary/ junctions, and study their endomorphisms
(ability to trap a Majorana fermion) and fusion rules, and generalized the
defect Verlinde formula to a twisted version. We illustrate these results with
explicit examples. We also connect these results with topological defects in
super modular invariant CFTs. To render our discussion self-contained, we
provide a pedagogical review of relevant mathematical results, so that
physicists without prior experience in tensor category should be able to pick
them up and apply them readily
|
[
{
"created": "Tue, 21 Jul 2020 02:04:40 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Jul 2020 11:02:51 GMT",
"version": "v2"
},
{
"created": "Fri, 30 Oct 2020 02:16:55 GMT",
"version": "v3"
}
] |
2021-03-17
|
[
[
"Lou",
"Jiaqi",
""
],
[
"Shen",
"Ce",
""
],
[
"Chen",
"Chaoyi",
""
],
[
"Hung",
"Ling-Yan",
""
]
] |
We study gapped boundaries characterized by "fermionic condensates" in 2+1 d topological order. Mathematically, each of these condensates can be described by a super commutative Frobenius algebra. We systematically obtain the species of excitations at the gapped boundary/ junctions, and study their endomorphisms (ability to trap a Majorana fermion) and fusion rules, and generalized the defect Verlinde formula to a twisted version. We illustrate these results with explicit examples. We also connect these results with topological defects in super modular invariant CFTs. To render our discussion self-contained, we provide a pedagogical review of relevant mathematical results, so that physicists without prior experience in tensor category should be able to pick them up and apply them readily
|
1207.1772
|
Christian Byrnes
|
Gianmassimo Tasinato, Christian T. Byrnes, Sami Nurmi, David Wands
|
Loop corrections and a new test of inflation
|
6 pages; v2: references added, minor changes; v3: Extended
discussion, including the role of gravitational corrections. References
added. Version accepted for publication in PRD
|
Phys. Rev. D 87, 043512 (2013)
|
10.1103/PhysRevD.87.043512
| null |
hep-th astro-ph.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Inflation is the leading paradigm for explaining the origin of primordial
density perturbations and the observed temperature fluctuations of the cosmic
microwave background. However many open questions remain, in particular whether
one or more scalar fields were present during inflation and how they
contributed to the primordial density perturbation. We propose a new
observational test of whether multiple fields, or only one (not necessarily the
inflaton) generated the perturbations. We show that our test, relating the
bispectrum and trispectrum, is protected against loop corrections at all
orders, unlike previous relations.
|
[
{
"created": "Sat, 7 Jul 2012 07:33:03 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Jul 2012 08:47:53 GMT",
"version": "v2"
},
{
"created": "Thu, 17 Jan 2013 12:25:26 GMT",
"version": "v3"
}
] |
2015-06-05
|
[
[
"Tasinato",
"Gianmassimo",
""
],
[
"Byrnes",
"Christian T.",
""
],
[
"Nurmi",
"Sami",
""
],
[
"Wands",
"David",
""
]
] |
Inflation is the leading paradigm for explaining the origin of primordial density perturbations and the observed temperature fluctuations of the cosmic microwave background. However many open questions remain, in particular whether one or more scalar fields were present during inflation and how they contributed to the primordial density perturbation. We propose a new observational test of whether multiple fields, or only one (not necessarily the inflaton) generated the perturbations. We show that our test, relating the bispectrum and trispectrum, is protected against loop corrections at all orders, unlike previous relations.
|
1805.04062
|
Alberto Mart\'in-Ruiz
|
A. Mart\'in-Ruiz and C. A. Escobar
|
Testing Lorentz- and CPT-invariance with ultracold neutrons
| null |
Phys. Rev. D 97, 095039 (2018)
|
10.1103/PhysRevD.97.095039
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we investigate, within the standard model extension framework,
the influence of Lorentz- and CPT-violating terms on gravitational quantum
states of ultracold neutrons. Using a semiclassical wave packet, we derive the
effective nonrelativistic Hamiltonian which describes the neutrons vertical
motion by averaging the contributions from the perpendicular coordinates to the
free falling axis. We compute the physical implications of the Lorentz- and
CPT-violating terms on the spectra. The comparison of our results with those
obtained in the GRANIT experiment leads to an upper bound for the
symmetries-violation $c_{\mu\nu} ^{n}$ coefficients. We find that ultracold
neutrons are sensitive to the $a _{i} ^{n}$ and $e _{i} ^{n}$ coefficients,
which thus far are unbounded by experiments in the neutron sector. We propose
two additional problems involving ultracold neutrons which could be relevant
for improving our current bounds; namely, gravity-resonance-spectroscopy and
neutron whispering gallery wave.
|
[
{
"created": "Thu, 10 May 2018 16:58:09 GMT",
"version": "v1"
}
] |
2018-06-06
|
[
[
"Martín-Ruiz",
"A.",
""
],
[
"Escobar",
"C. A.",
""
]
] |
In this paper we investigate, within the standard model extension framework, the influence of Lorentz- and CPT-violating terms on gravitational quantum states of ultracold neutrons. Using a semiclassical wave packet, we derive the effective nonrelativistic Hamiltonian which describes the neutrons vertical motion by averaging the contributions from the perpendicular coordinates to the free falling axis. We compute the physical implications of the Lorentz- and CPT-violating terms on the spectra. The comparison of our results with those obtained in the GRANIT experiment leads to an upper bound for the symmetries-violation $c_{\mu\nu} ^{n}$ coefficients. We find that ultracold neutrons are sensitive to the $a _{i} ^{n}$ and $e _{i} ^{n}$ coefficients, which thus far are unbounded by experiments in the neutron sector. We propose two additional problems involving ultracold neutrons which could be relevant for improving our current bounds; namely, gravity-resonance-spectroscopy and neutron whispering gallery wave.
|
0903.2224
|
Jean Macher
|
Jean Macher and Renaud Parentani
|
Black/White hole radiation from dispersive theories
|
revtex4, 21 pages, 24 figures;v2: 3 figs added, 1 replaced,
approximations better justified, refs added;v3: typos fixed, refs added,
version published in PRD
|
Phys.Rev.D79:124008,2009
|
10.1103/PhysRevD.79.124008
|
HAL:09-35
|
hep-th cond-mat.other
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the fluxes emitted by black holes when using dispersive field
theories. We work with stationary one dimensional backgrounds which are
asymptotically flat on both sides of the horizon. The asymptotic fluxes are
governed by a 3x3 Bogoliubov transformation. The fluxes emitted by the
corresponding white holes are regular and governed by the inverse
transformation. We numerically compute the spectral properties of these fluxes
for both sub- and superluminal quartic dispersion. The leading deviations with
respect to the dispersionless flux are computed and shown to be governed by a
critical frequency above which there is no radiation. Unlike the UV scale
governing dispersion, its value critically depends on the asymptotic properties
of the background. We also study the flux outside the robust regime. In
particular we show that its low frequency part remains almost thermal but with
a temperature which significantly differs from the standard one. Application to
four dimensional black holes and Bose-Einstein condensates are in preparation.
|
[
{
"created": "Thu, 12 Mar 2009 17:36:22 GMT",
"version": "v1"
},
{
"created": "Wed, 6 May 2009 17:24:16 GMT",
"version": "v2"
},
{
"created": "Tue, 2 Jun 2009 08:58:09 GMT",
"version": "v3"
}
] |
2009-06-30
|
[
[
"Macher",
"Jean",
""
],
[
"Parentani",
"Renaud",
""
]
] |
We study the fluxes emitted by black holes when using dispersive field theories. We work with stationary one dimensional backgrounds which are asymptotically flat on both sides of the horizon. The asymptotic fluxes are governed by a 3x3 Bogoliubov transformation. The fluxes emitted by the corresponding white holes are regular and governed by the inverse transformation. We numerically compute the spectral properties of these fluxes for both sub- and superluminal quartic dispersion. The leading deviations with respect to the dispersionless flux are computed and shown to be governed by a critical frequency above which there is no radiation. Unlike the UV scale governing dispersion, its value critically depends on the asymptotic properties of the background. We also study the flux outside the robust regime. In particular we show that its low frequency part remains almost thermal but with a temperature which significantly differs from the standard one. Application to four dimensional black holes and Bose-Einstein condensates are in preparation.
|
2401.06216
|
Alicia Castro
|
Alicia Castro
|
A relation between $(2,2m-1)$ minimal strings and the Virasoro minimal
string
|
6 pages, 3 figures
| null | null | null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a connection between the newly formulated Virasoro minimal string
and the well-established $(2,2m-1)$ minimal string by deriving the string
equation of the Virasoro minimal string using the expansion of its density of
states in powers of $E^{m+1/2}$. This string equation is expressed as a power
series involving double-scaled multicritical matrix models, which are dual to
$(2,2m-1)$ minimal strings. This reformulation of Virasoro minimal strings
enables us to employ matrix theory tools to compute its $n$-boundary
correlators. We analyze the scaling behavior of $n$-boundary correlators and
quantum volumes $V^{(b)}_{0,n}(\ell_1,\dots,\ell_n)$ in the JT gravity limit.
|
[
{
"created": "Thu, 11 Jan 2024 19:00:04 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Jan 2024 13:25:59 GMT",
"version": "v2"
}
] |
2024-01-31
|
[
[
"Castro",
"Alicia",
""
]
] |
We propose a connection between the newly formulated Virasoro minimal string and the well-established $(2,2m-1)$ minimal string by deriving the string equation of the Virasoro minimal string using the expansion of its density of states in powers of $E^{m+1/2}$. This string equation is expressed as a power series involving double-scaled multicritical matrix models, which are dual to $(2,2m-1)$ minimal strings. This reformulation of Virasoro minimal strings enables us to employ matrix theory tools to compute its $n$-boundary correlators. We analyze the scaling behavior of $n$-boundary correlators and quantum volumes $V^{(b)}_{0,n}(\ell_1,\dots,\ell_n)$ in the JT gravity limit.
|
1904.12941
|
Yeuk-Kwan Edna Cheung
|
Hui Xu, Lei Ming, and Yeuk-Kwan E. Cheung
|
Dynamics of scalar fields in an expanding/contracting cosmos at finite
temperature
|
31 pages; 4 appendices. An appendix is added in Version 2 to
calculate the free spectral function of a scalar field in de Sitter space, to
justify the replacements proposed in (2.3)&(2.4) in order to rewrite the
propagators obtained by Drewes, Mendizabal and Weniger in terms of cosmic
time
|
Chinese Phys. C 44 (2020) 053103
|
10.1088/1674-1137/44/5/053103
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper extends the study of the quantum dissipative effects of a
cosmological scalar field by taking into account the cosmic expansion and
contraction. Cheung, Drewes, Kang and Kim calculated the effective action and
quantum dissipative effects of a cosmological scalar field. The analytic
expressions for the effective potential and damping coefficient were presented
using a simple scalar model with quartic interaction. Their work was done using
Minkowski-space propagators in loop diagrams. In this work we incorporate the
Hubble expansion and contraction of the comic background, and focus on the
thermal dynamics of a scalar field in a regime where the effective potential
changes slowly. We let the Hubble parameter, $H$, attain a small but non-zero
value and carry out calculations to first order in $H$. If we set $H=0$ all
results match those obtained previously in flat spacetime [1]. Interestingly we
have to integrate over the resonances, which in turn leads to an amplification
of the effects of a non-zero $H$. This is an intriguing phenomenon which cannot
be uncovered in flat spacetime. The implications on particle creations in the
early universe will be studied in a forthcoming work.
|
[
{
"created": "Mon, 29 Apr 2019 20:39:55 GMT",
"version": "v1"
},
{
"created": "Sat, 11 May 2019 08:45:02 GMT",
"version": "v2"
}
] |
2024-07-18
|
[
[
"Xu",
"Hui",
""
],
[
"Ming",
"Lei",
""
],
[
"Cheung",
"Yeuk-Kwan E.",
""
]
] |
This paper extends the study of the quantum dissipative effects of a cosmological scalar field by taking into account the cosmic expansion and contraction. Cheung, Drewes, Kang and Kim calculated the effective action and quantum dissipative effects of a cosmological scalar field. The analytic expressions for the effective potential and damping coefficient were presented using a simple scalar model with quartic interaction. Their work was done using Minkowski-space propagators in loop diagrams. In this work we incorporate the Hubble expansion and contraction of the comic background, and focus on the thermal dynamics of a scalar field in a regime where the effective potential changes slowly. We let the Hubble parameter, $H$, attain a small but non-zero value and carry out calculations to first order in $H$. If we set $H=0$ all results match those obtained previously in flat spacetime [1]. Interestingly we have to integrate over the resonances, which in turn leads to an amplification of the effects of a non-zero $H$. This is an intriguing phenomenon which cannot be uncovered in flat spacetime. The implications on particle creations in the early universe will be studied in a forthcoming work.
|
hep-th/0508015
|
S. E. Korenblit
|
S.E.Korenblit, V.V.Semenov
|
Massless Pseudoscalar Fields and Solution of the Federbush Model
|
14 pages, LaTeX, jnmp-style, corrected the style, abstract and
ambiguities, added references
|
J.Nonlin.Math.Phys. 13 (2006) 271-284
|
10.2991/jnmp.2006.13.2.9
|
ISU-IAP. Th2005-04, Irkutsk
|
hep-th
| null |
The formal Heisenberg equations of the Federbush model are linearized and
then are directly integrated applying the method of dynamical mappings. The
fundamental role of two-dimensional free massless pseudo-scalar fields is
revealed for this procedure together with their locality condition taken into
account. Thus the better insight into solvability of this model is obtained
together with the additional phase factor for its general solution, and the
meaning of the Schwinger terms is elucidated.
|
[
{
"created": "Tue, 2 Aug 2005 12:36:34 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Aug 2005 14:10:10 GMT",
"version": "v2"
},
{
"created": "Sun, 2 Oct 2005 13:55:41 GMT",
"version": "v3"
},
{
"created": "Sat, 24 Dec 2005 18:10:52 GMT",
"version": "v4"
}
] |
2015-06-26
|
[
[
"Korenblit",
"S. E.",
""
],
[
"Semenov",
"V. V.",
""
]
] |
The formal Heisenberg equations of the Federbush model are linearized and then are directly integrated applying the method of dynamical mappings. The fundamental role of two-dimensional free massless pseudo-scalar fields is revealed for this procedure together with their locality condition taken into account. Thus the better insight into solvability of this model is obtained together with the additional phase factor for its general solution, and the meaning of the Schwinger terms is elucidated.
|
hep-th/0206221
|
Marcus Spradlin
|
Igor R. Klebanov, Marcus Spradlin, Anastasia Volovich
|
New Effects in Gauge Theory from pp-wave Superstrings
|
12 pages, 1 figure, harvmac
|
Phys.Lett. B548 (2002) 111-118
|
10.1016/S0370-2693(02)02841-1
|
PUTP-2042, HUTP-02/A027
|
hep-th
| null |
It has recently been observed that IIB string theory in the pp-wave
background can be used to calculate certain quantities, such as the dimensions
of BMN operators, as exact functions of the effective coupling lambda' =
lambda/J^2. These functions interpolate smoothly between the weak and strong
effective coupling regimes of N=4 SYM theory at large R charge J. In this paper
we use the pp-wave superstring field theory of hep-th/0204146 to study more
complicated observables. The expansion of the three-string interaction vertex
suggests more complicated interpolating functions which in general give rise to
fractional powers of lambda' in physical observables at weak effective
coupling.
|
[
{
"created": "Tue, 25 Jun 2002 19:45:03 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Aug 2002 01:38:49 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Klebanov",
"Igor R.",
""
],
[
"Spradlin",
"Marcus",
""
],
[
"Volovich",
"Anastasia",
""
]
] |
It has recently been observed that IIB string theory in the pp-wave background can be used to calculate certain quantities, such as the dimensions of BMN operators, as exact functions of the effective coupling lambda' = lambda/J^2. These functions interpolate smoothly between the weak and strong effective coupling regimes of N=4 SYM theory at large R charge J. In this paper we use the pp-wave superstring field theory of hep-th/0204146 to study more complicated observables. The expansion of the three-string interaction vertex suggests more complicated interpolating functions which in general give rise to fractional powers of lambda' in physical observables at weak effective coupling.
|
2312.17160
|
Pujian Mao
|
Pujian Mao and Weicheng Zhao
|
Asymptotic Weyl double copy in Newman-Penrose formalism
|
12 pages. typos fixed, published version
|
JHEP 02 (2024) 171
|
10.1007/JHEP02(2024)171
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
In this paper, we provide a self-contained investigation of the Weyl double
copy in the Newman-Penrose formalism. We examine the Weyl double copy
constraints for the general asymptotically flat solution in the Newman-Unti
gauge. We find that two transparent solutions of the asymptotic Weyl double
copy constraints lead to truncated solutions for both linearized and Einstein
gravity theory where the solutions are in the manifest form of Petrov type N or
type D in the Newman-Unti gauge.
|
[
{
"created": "Thu, 28 Dec 2023 17:48:27 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Feb 2024 12:51:42 GMT",
"version": "v2"
}
] |
2024-02-23
|
[
[
"Mao",
"Pujian",
""
],
[
"Zhao",
"Weicheng",
""
]
] |
In this paper, we provide a self-contained investigation of the Weyl double copy in the Newman-Penrose formalism. We examine the Weyl double copy constraints for the general asymptotically flat solution in the Newman-Unti gauge. We find that two transparent solutions of the asymptotic Weyl double copy constraints lead to truncated solutions for both linearized and Einstein gravity theory where the solutions are in the manifest form of Petrov type N or type D in the Newman-Unti gauge.
|
hep-th/0408096
|
Ghaffor Djamel
|
D. Ghaffor and M. Tahiri
|
On Auxiliary Fields in BF Theories
|
7 pages, minor changes, typos in equations corrected and
acknowledgements added
|
Mod.Phys.Lett.A20:1703-1708,2005
|
10.1142/S0217732305017147
| null |
hep-th
| null |
We discuss the structure of auxiliary fields for non-Abelian BF theories in
arbitrary dimensions. By modifying the classical BRST operator, we build the
on-shell invariant complete quantum action. Therefore, we introduce the
auxiliary fields which close the BRST algebra and lead to the invariant
extension of the classical action.
|
[
{
"created": "Wed, 11 Aug 2004 22:14:10 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Sep 2004 21:08:55 GMT",
"version": "v2"
}
] |
2010-11-05
|
[
[
"Ghaffor",
"D.",
""
],
[
"Tahiri",
"M.",
""
]
] |
We discuss the structure of auxiliary fields for non-Abelian BF theories in arbitrary dimensions. By modifying the classical BRST operator, we build the on-shell invariant complete quantum action. Therefore, we introduce the auxiliary fields which close the BRST algebra and lead to the invariant extension of the classical action.
|
hep-th/9304137
| null |
A. Stern and I. Yakushin
|
Deformed Wong Particles
|
14 pages, LATEX
|
Phys.Rev. D48 (1993) 4974-4979
|
10.1103/PhysRevD.48.4974
| null |
hep-th
| null |
By generalizing the Feynman proof of the Lorentz force law, recently reported
by Dyson, we derive equations of motion for particles possessing internal
degrees of freedom $I^a$ which do not, in general, generate a finite algebra.
We obtain consistency criteria for fields which interact with such particles.
It is argued that when a particle with internal $SU_q(2)$ degrees of freedom is
coupled to $SU(2)$ gauge fields, $SU(2)$ gauge invariance is broken to $U(1)$.
We further claim that when such an $SU_q(2)$ particle acts as a source for the
field theory, the second rank antisymmetric field tensor, in general, cannot be
globally defined.
|
[
{
"created": "Tue, 27 Apr 1993 20:30:53 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Stern",
"A.",
""
],
[
"Yakushin",
"I.",
""
]
] |
By generalizing the Feynman proof of the Lorentz force law, recently reported by Dyson, we derive equations of motion for particles possessing internal degrees of freedom $I^a$ which do not, in general, generate a finite algebra. We obtain consistency criteria for fields which interact with such particles. It is argued that when a particle with internal $SU_q(2)$ degrees of freedom is coupled to $SU(2)$ gauge fields, $SU(2)$ gauge invariance is broken to $U(1)$. We further claim that when such an $SU_q(2)$ particle acts as a source for the field theory, the second rank antisymmetric field tensor, in general, cannot be globally defined.
|
1704.01134
|
Tomas Ortin
|
Pablo A. Cano, Patrick Meessen, Tomas Ortin, Pedro F. Ramirez
|
Non-Abelian black holes in string theory
|
Latex 2e file, 21 pages. A full appendix on alpha prime corrections
and the corresponding discussions have been added. The conclusions have
suffered minor changes. Version accepted in JHEP
| null |
10.1007/JHEP12(2017)092
|
FPAU-O17/05 IFT-UAM/CSIC-17-025
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study a family of 5-dimensional non-Abelian black holes that can be
obtained by adding an instanton field to the well-known D1D5W Abelian black
holes. Naively, the non-Abelian fields seem to contribute to the black-hole
entropy but not to the mass due to their rapid fall-off at spatial infinity. By
uplifting the 5-dimensional supergravity solution to 10-dimensional Heterotic
Supergravity first and then dualizing it into a Type-I Supergravity solution,
we show that the non-Abelian fields are associated to D5-branes dissolved into
the D9-branes (dual to the Heterotic "gauge 5-branes") and that their
associated RR charge does not, in fact, contribute to the entropy, which only
depends on the number16 pages of D-strings and D5 branes and the momentum along
the D-strings, as in the Abelian case. These "dissolved" or "gauge" D5-branes
do contribute to the mass in the expected form. The correct interpretation of
the 5-dimensional charges in terms of the string-theory objects solves the
non-Abelian hair puzzle, allowing for the microscopic accounting of the
entropy. We discuss the validity of the solution when alpha prime corrections
are taken into account.
|
[
{
"created": "Tue, 4 Apr 2017 18:04:44 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Apr 2017 17:57:31 GMT",
"version": "v2"
},
{
"created": "Thu, 14 Dec 2017 22:51:44 GMT",
"version": "v3"
}
] |
2018-01-17
|
[
[
"Cano",
"Pablo A.",
""
],
[
"Meessen",
"Patrick",
""
],
[
"Ortin",
"Tomas",
""
],
[
"Ramirez",
"Pedro F.",
""
]
] |
We study a family of 5-dimensional non-Abelian black holes that can be obtained by adding an instanton field to the well-known D1D5W Abelian black holes. Naively, the non-Abelian fields seem to contribute to the black-hole entropy but not to the mass due to their rapid fall-off at spatial infinity. By uplifting the 5-dimensional supergravity solution to 10-dimensional Heterotic Supergravity first and then dualizing it into a Type-I Supergravity solution, we show that the non-Abelian fields are associated to D5-branes dissolved into the D9-branes (dual to the Heterotic "gauge 5-branes") and that their associated RR charge does not, in fact, contribute to the entropy, which only depends on the number16 pages of D-strings and D5 branes and the momentum along the D-strings, as in the Abelian case. These "dissolved" or "gauge" D5-branes do contribute to the mass in the expected form. The correct interpretation of the 5-dimensional charges in terms of the string-theory objects solves the non-Abelian hair puzzle, allowing for the microscopic accounting of the entropy. We discuss the validity of the solution when alpha prime corrections are taken into account.
|
1802.03755
|
Sergio Gonz\'alez-Mart\'in
|
Sergio Gonzalez-Martin and Carmelo P. Martin
|
Scattering of fermions in the Yukawa theory coupled to Unimodular
Gravity
|
21 pages, 12 figures
| null |
10.1140/epjc/s10052-018-5734-z
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the lowest order gravitational UV divergent radiative corrections
to the S matrix element of the $fermion + fermion\rightarrow fermion + fermion$
scattering process in the massive Yukawa theory, coupled either to Unimodular
Gravity or to General Relativity. We show that both Unimodular Gravity and
General Relativity give rise to the same UV divergent contribution in
Dimensional Regularization. This is a nontrivial result, since in the classical
action of Unimodular Gravity coupled to the Yukawa theory, the graviton field
does not couple neither to the mass operator nor to the Yukawa operator. This
is unlike the General Relativity case. The agreement found points in the
direction that Unimodular Gravity and General Relativity give rise to the same
quantum theory when coupled to matter, as long as the Cosmological Constant
vanishes. Along the way we have come across another unexpected cancellation of
UV divergences for both Unimodular Gravity and General Relativity, resulting in
the UV finiteness of the one-loop and $\kappa g^2$ order of the vertex
involving two fermions and one graviton only.
|
[
{
"created": "Sun, 11 Feb 2018 15:49:26 GMT",
"version": "v1"
}
] |
2018-04-18
|
[
[
"Gonzalez-Martin",
"Sergio",
""
],
[
"Martin",
"Carmelo P.",
""
]
] |
We compute the lowest order gravitational UV divergent radiative corrections to the S matrix element of the $fermion + fermion\rightarrow fermion + fermion$ scattering process in the massive Yukawa theory, coupled either to Unimodular Gravity or to General Relativity. We show that both Unimodular Gravity and General Relativity give rise to the same UV divergent contribution in Dimensional Regularization. This is a nontrivial result, since in the classical action of Unimodular Gravity coupled to the Yukawa theory, the graviton field does not couple neither to the mass operator nor to the Yukawa operator. This is unlike the General Relativity case. The agreement found points in the direction that Unimodular Gravity and General Relativity give rise to the same quantum theory when coupled to matter, as long as the Cosmological Constant vanishes. Along the way we have come across another unexpected cancellation of UV divergences for both Unimodular Gravity and General Relativity, resulting in the UV finiteness of the one-loop and $\kappa g^2$ order of the vertex involving two fermions and one graviton only.
|
hep-th/0209186
|
Olaf Lechtenfeld
|
Alexander Kling, Olaf Lechtenfeld, Alexander D. Popov, Sebastian
Uhlmann
|
On Nonperturbative Solutions of Superstring Field Theory
|
1+8 pages, LaTeX; v2: one reference added, to appear in Phys. Lett. B
|
Phys.Lett. B551 (2003) 193-201
|
10.1016/S0370-2693(02)03025-3
| null |
hep-th
| null |
Nonperturbative solutions to the nonlinear field equations in the NS sector
of cubic as well as nonpolynomial superstring field theory can be obtained from
a linear equation which includes a "spectral" parameter \lambda and a
coboundary operator Q(\lambda). We borrow a simple ansatz from the dressing
method (for generating solitons in integrable field theories) and show that
classical superstring fields can be constructed from any string field T subject
merely to Q(\lambda)T=0. Following the decay of the non-BPS D9 brane in IIA
theory and shifting the background to the tachyon vacuum, we repeat the
arguments in vacuum superstring field theory and outline how to compute
classical solutions explicitly.
|
[
{
"created": "Mon, 23 Sep 2002 15:17:18 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Nov 2002 11:49:27 GMT",
"version": "v2"
}
] |
2010-04-05
|
[
[
"Kling",
"Alexander",
""
],
[
"Lechtenfeld",
"Olaf",
""
],
[
"Popov",
"Alexander D.",
""
],
[
"Uhlmann",
"Sebastian",
""
]
] |
Nonperturbative solutions to the nonlinear field equations in the NS sector of cubic as well as nonpolynomial superstring field theory can be obtained from a linear equation which includes a "spectral" parameter \lambda and a coboundary operator Q(\lambda). We borrow a simple ansatz from the dressing method (for generating solitons in integrable field theories) and show that classical superstring fields can be constructed from any string field T subject merely to Q(\lambda)T=0. Following the decay of the non-BPS D9 brane in IIA theory and shifting the background to the tachyon vacuum, we repeat the arguments in vacuum superstring field theory and outline how to compute classical solutions explicitly.
|
2011.04662
|
Bora Basa
|
Bora Basa, Gabriele La Nave and Philip W. Phillips
|
Nonlocal Conformal Field Theory
|
16 pages
| null | null | null |
hep-th cond-mat.str-el math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
Using the recently developed notion of a fractional Virasoro algebra, we
explore the implied operator product expansions in nonlocal conformal field
theories and their geometric meaning. We probe the interplay between classical
nonlocality in the functional-analytic sense and quantization in a
two-dimensional setting and find that nonlocal quantum dynamics realize this
fractional Virasoro algebra exclusively with a state dependent central charge.
Notably, we prove that the widely studied free Gaussian fixed points with a
fractional Laplacian kinetic term does not fit this criterion but that the RG
flow associated non-Gaussian fixed points do.
|
[
{
"created": "Mon, 9 Nov 2020 19:00:01 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Mar 2021 19:58:19 GMT",
"version": "v2"
},
{
"created": "Thu, 16 Sep 2021 16:55:33 GMT",
"version": "v3"
},
{
"created": "Fri, 1 Sep 2023 14:05:25 GMT",
"version": "v4"
},
{
"created": "Fri, 17 Nov 2023 20:59:47 GMT",
"version": "v5"
}
] |
2023-11-21
|
[
[
"Basa",
"Bora",
""
],
[
"La Nave",
"Gabriele",
""
],
[
"Phillips",
"Philip W.",
""
]
] |
Using the recently developed notion of a fractional Virasoro algebra, we explore the implied operator product expansions in nonlocal conformal field theories and their geometric meaning. We probe the interplay between classical nonlocality in the functional-analytic sense and quantization in a two-dimensional setting and find that nonlocal quantum dynamics realize this fractional Virasoro algebra exclusively with a state dependent central charge. Notably, we prove that the widely studied free Gaussian fixed points with a fractional Laplacian kinetic term does not fit this criterion but that the RG flow associated non-Gaussian fixed points do.
|
hep-th/0308018
|
Mohammad Reza Setare
|
M R Setare
|
Casimir Forces for Robin Scalar Field on Cylindrical Shell in de Sitter
Space
|
10 pages, no figure
|
Int.J.Theor.Phys.45:437-447,2006
|
10.1007/s10773-006-9044-0
| null |
hep-th
| null |
The Casimir stress on a cylinderical shell in background of conformally flat
space-time for massless scalar field is investigated. In the general case of
Robin (mixed) boundary condition formulae are derived for the vacuum
expectation values of the energy-momentum tensor and vacuum forces acting on
boundaries. The special case of the dS bulk is considered then different
cosmological constants are assumed for the space inside and outside of the
shell to have general results applicable to the case of cylindrical domain wall
formations in the early universe.
|
[
{
"created": "Mon, 4 Aug 2003 08:44:14 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Setare",
"M R",
""
]
] |
The Casimir stress on a cylinderical shell in background of conformally flat space-time for massless scalar field is investigated. In the general case of Robin (mixed) boundary condition formulae are derived for the vacuum expectation values of the energy-momentum tensor and vacuum forces acting on boundaries. The special case of the dS bulk is considered then different cosmological constants are assumed for the space inside and outside of the shell to have general results applicable to the case of cylindrical domain wall formations in the early universe.
|
1510.05366
|
Andrei Mironov
|
D.Galakhov, A.Mironov and A.Morozov
|
SU(2)/SL(2) knot invariants and KS monodromies
|
17 pages, contribution to the volume in honor of Igor Tyutin
|
Theoretical and Mathematical Physics, 187 (2016) 678-694
(Teor.Mat.Fiz. 187 (2016) 263-282)
|
10.4213/tmf9068
|
FIAN/TD-09/15; IITP/TH-16/15; ITEP/TH-25/15
|
hep-th math.GT math.QA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review the Reshetikhin-Turaev approach to construction of non-compact knot
invariants involving R-matrices associated with infinite-dimensional
representations, primarily those made from Faddeev's quantum dilogarithm. The
corresponding formulas can be obtained from modular transformations of
conformal blocks as their Kontsevich-Soibelman monodromies and are presented in
the form of transcendental integrals, where the main issue is manipulation with
integration contours. We discuss possibilities to extract more explicit and
handy expressions which can be compared with the ordinary (compact) knot
polynomials coming from finite-dimensional representations of simple Lie
algebras, with their limits and properties. In particular, the quantum
A-polynomials, difference equations for colored Jones polynomials should be the
same, just in non-compact case the equations are homogeneous, while they have a
non-trivial right-hand side for ordinary Jones polynomials.
|
[
{
"created": "Mon, 19 Oct 2015 06:45:23 GMT",
"version": "v1"
}
] |
2016-06-02
|
[
[
"Galakhov",
"D.",
""
],
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
]
] |
We review the Reshetikhin-Turaev approach to construction of non-compact knot invariants involving R-matrices associated with infinite-dimensional representations, primarily those made from Faddeev's quantum dilogarithm. The corresponding formulas can be obtained from modular transformations of conformal blocks as their Kontsevich-Soibelman monodromies and are presented in the form of transcendental integrals, where the main issue is manipulation with integration contours. We discuss possibilities to extract more explicit and handy expressions which can be compared with the ordinary (compact) knot polynomials coming from finite-dimensional representations of simple Lie algebras, with their limits and properties. In particular, the quantum A-polynomials, difference equations for colored Jones polynomials should be the same, just in non-compact case the equations are homogeneous, while they have a non-trivial right-hand side for ordinary Jones polynomials.
|
hep-th/9812177
|
Asato Tsuchiya
|
H. Itoyama, A. Tsuchiya
|
USp(2k) Matrix Model: Schwinger-Dyson Equations and Closed-Open String
Interactions
|
22 pages, 13 figures
|
Prog.Theor.Phys. 101 (1999) 1371-1390
|
10.1143/PTP.101.1371
|
OU-HET 306
|
hep-th
| null |
We derive the Schwinger-Dyson/loop equations for the USp(2k) matrix model
which close among the closed and open Wilson loop variables. These loop
equations exhibit a complete set of the joining and splitting interactions
required for the nonorientable Type I superstrings. The open loops realize the
SO(2n_f) Chan-Paton factor and their linearized loop equations derive the mixed
Dirichlet/Neumann boundary conditions.
|
[
{
"created": "Mon, 21 Dec 1998 17:56:00 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Itoyama",
"H.",
""
],
[
"Tsuchiya",
"A.",
""
]
] |
We derive the Schwinger-Dyson/loop equations for the USp(2k) matrix model which close among the closed and open Wilson loop variables. These loop equations exhibit a complete set of the joining and splitting interactions required for the nonorientable Type I superstrings. The open loops realize the SO(2n_f) Chan-Paton factor and their linearized loop equations derive the mixed Dirichlet/Neumann boundary conditions.
|
2110.14504
|
Daniel Naegels
|
Daniel Naegels
|
An introduction to Goldstone boson physics and to the coset construction
|
61 pages, 3 figures. Summer school lecture notes
| null | null | null |
hep-th cond-mat.other hep-ph math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
These lecture notes are based on a six-hour series of lectures given at the
XVII Modave summer school in mathematical physics, aimed at Ph.D. students in
high-energy theoretical physics.
The manuscript starts by briefly stating Goldstone's theorem and emphasises
the motivations behind Goldstone physics; the main asset being the universality
of spontaneous symmetry breaking (SSB) which is the fundamental hypothesis of
Goldstone's theorem. Once the different notions of SSB will be
clarified/reviewed, Goldstone's theorem will be stated and proved. A prediction
of this theorem is the existence of gapless particles, called Nambu-Goldstone
modes (NG modes). From the discussion on Goldstone's results, some aspects of
the NG modes will emerge. Besides to be gapless, they are systematically weakly
coupled at low energy. Therefore, an effective field theory (EFT) building tool
called ``coset construction'' will be presented to explicitly display these
specific features of the NG modes. The coset construction suits our goal since
it is mainly based on the symmetry realisation of the perturbed theory around
the background inducing SSB. From the general obtained EFT, a counting rule for
the NG modes will be derived. The limitations of this rule as well as the still
ongoing generalisation will be discussed (e.g. spacetime symmetry breaking).
The tools developed during this course will be illustrated with a concrete
example in physics: ferromagnetism. The notes end with a brief state of the art
of Goldstone physics. This provides some directions into which the interested
reader could investigate to expand his knowledge on the subject.
N.B.: No prerequisites are required beside the standard courses of a Master
in theoretical physics.
|
[
{
"created": "Wed, 27 Oct 2021 15:16:45 GMT",
"version": "v1"
}
] |
2021-10-28
|
[
[
"Naegels",
"Daniel",
""
]
] |
These lecture notes are based on a six-hour series of lectures given at the XVII Modave summer school in mathematical physics, aimed at Ph.D. students in high-energy theoretical physics. The manuscript starts by briefly stating Goldstone's theorem and emphasises the motivations behind Goldstone physics; the main asset being the universality of spontaneous symmetry breaking (SSB) which is the fundamental hypothesis of Goldstone's theorem. Once the different notions of SSB will be clarified/reviewed, Goldstone's theorem will be stated and proved. A prediction of this theorem is the existence of gapless particles, called Nambu-Goldstone modes (NG modes). From the discussion on Goldstone's results, some aspects of the NG modes will emerge. Besides to be gapless, they are systematically weakly coupled at low energy. Therefore, an effective field theory (EFT) building tool called ``coset construction'' will be presented to explicitly display these specific features of the NG modes. The coset construction suits our goal since it is mainly based on the symmetry realisation of the perturbed theory around the background inducing SSB. From the general obtained EFT, a counting rule for the NG modes will be derived. The limitations of this rule as well as the still ongoing generalisation will be discussed (e.g. spacetime symmetry breaking). The tools developed during this course will be illustrated with a concrete example in physics: ferromagnetism. The notes end with a brief state of the art of Goldstone physics. This provides some directions into which the interested reader could investigate to expand his knowledge on the subject. N.B.: No prerequisites are required beside the standard courses of a Master in theoretical physics.
|
0903.2376
|
Ulf Lindstr\"om
|
Malin Goteman and Ulf Lindstrom
|
Pseudo-hyperkahler Geometry and Generalized Kahler Geometry
|
Letters in Mathematical Physics : electronically published version
|
Lett.Math.Phys.95:211-222,2011
|
10.1007/s11005-010-0456-7
|
UUITP-07/09
|
hep-th math.DG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss the conditions for additional supersymmetry and twisted
supersymmetry in N = (2, 2) supersymmetric non-linear sigma models described by
one left and one right semi-chiral superfield and carrying a pair of
non-commuting complex structures. Focus is on linear non-manifest
transformations of these fields that have an algebra that closes off-shell. We
find that additional linear supersymmetry has no interesting solution, whereas
additional linear twisted supersymmetry has solutions with interesting
geometrical properties. We solve the conditions for invariance of the action
and show that these solutions correspond to a bi-hermitian metric of signature
(2, 2) and a pseudo-hyperkaehler geometry of the target space.
|
[
{
"created": "Fri, 13 Mar 2009 12:53:41 GMT",
"version": "v1"
},
{
"created": "Sun, 26 Apr 2009 17:01:38 GMT",
"version": "v2"
},
{
"created": "Sun, 9 May 2010 09:25:29 GMT",
"version": "v3"
},
{
"created": "Tue, 11 Jan 2011 11:06:16 GMT",
"version": "v4"
}
] |
2011-03-02
|
[
[
"Goteman",
"Malin",
""
],
[
"Lindstrom",
"Ulf",
""
]
] |
We discuss the conditions for additional supersymmetry and twisted supersymmetry in N = (2, 2) supersymmetric non-linear sigma models described by one left and one right semi-chiral superfield and carrying a pair of non-commuting complex structures. Focus is on linear non-manifest transformations of these fields that have an algebra that closes off-shell. We find that additional linear supersymmetry has no interesting solution, whereas additional linear twisted supersymmetry has solutions with interesting geometrical properties. We solve the conditions for invariance of the action and show that these solutions correspond to a bi-hermitian metric of signature (2, 2) and a pseudo-hyperkaehler geometry of the target space.
|
hep-th/0506234
|
Kazuo Hosomichi
|
Kentaro Hori, Kazuo Hosomichi, David C. Page, Raul Rabadan, Johannes
Walcher
|
Non-perturbative orientifold transitions at the conifold
|
76 pages, references added
|
JHEP 0510:026,2005
|
10.1088/1126-6708/2005/10/026
| null |
hep-th
| null |
After orientifold projection, the conifold singularity in hypermultiplet
moduli space of Calabi-Yau compactifications cannot be avoided by geometric
deformations. We study the non-perturbative fate of this singularity in a local
model involving O6-planes and D6-branes wrapping the deformed conifold in Type
IIA string theory. We classify possible A-type orientifolds of the deformed
conifold and find that they cannot all be continued to the small resolution.
When passing through the singularity on the deformed side, the O-plane charge
generally jumps by the class of the vanishing cycle. To decide which classical
configurations are dynamically connected, we construct the quantum moduli space
by lifting the orientifold to M-theory as well as by looking at the
superpotential. We find a rich pattern of smooth and phase transitions
depending on the total sixbrane charge. Non-BPS states from branes wrapped on
non-supersymmetric bolts are responsible for a phase transition. We also
clarify the nature of a Z_2 valued D0-brane charge in the 6-brane background.
Along the way, we obtain a new metric of G_2 holonomy corresponding to an
O6-plane on the three sphere of the deformed conifold.
|
[
{
"created": "Tue, 28 Jun 2005 19:33:05 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Jul 2005 12:48:24 GMT",
"version": "v2"
}
] |
2010-12-03
|
[
[
"Hori",
"Kentaro",
""
],
[
"Hosomichi",
"Kazuo",
""
],
[
"Page",
"David C.",
""
],
[
"Rabadan",
"Raul",
""
],
[
"Walcher",
"Johannes",
""
]
] |
After orientifold projection, the conifold singularity in hypermultiplet moduli space of Calabi-Yau compactifications cannot be avoided by geometric deformations. We study the non-perturbative fate of this singularity in a local model involving O6-planes and D6-branes wrapping the deformed conifold in Type IIA string theory. We classify possible A-type orientifolds of the deformed conifold and find that they cannot all be continued to the small resolution. When passing through the singularity on the deformed side, the O-plane charge generally jumps by the class of the vanishing cycle. To decide which classical configurations are dynamically connected, we construct the quantum moduli space by lifting the orientifold to M-theory as well as by looking at the superpotential. We find a rich pattern of smooth and phase transitions depending on the total sixbrane charge. Non-BPS states from branes wrapped on non-supersymmetric bolts are responsible for a phase transition. We also clarify the nature of a Z_2 valued D0-brane charge in the 6-brane background. Along the way, we obtain a new metric of G_2 holonomy corresponding to an O6-plane on the three sphere of the deformed conifold.
|
2011.12971
|
Liang Ma
|
Liang Ma and H. Lu
|
A Correspondence between Ricci-flat Kerr and Kaluza-Klein AdS Black Hole
|
Latex 21 pages, typos corrected, version to appear in JHEP
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We establish an explicit correspondence of Einstein gravity on the squashed
spheres that are the $U(1)$ bundles over $\mathbb{CP}^m$ to the Kaluza-Klein
AdS gravity on the tori. This allows us to map the Ricci-flat Kerr metrics in
odd dimensions with all equal angular momenta to charged Kaluza-Klein AdS black
holes that can be lifted to become singly rotating M-branes and D3-branes.
Furthermore, we find maps between Ricci-flat gravitational instantons to the
AdS domain walls. In particular the supersymmetric bolt instantons correspond
to domain walls that can be interpreted as distributed M-branes and D3-branes,
whilst the non-supersymmetric Taub-NUT solutions yield new domain walls that
can be lifted to become solutions in M-theory or type IIB supergravity. The
correspondence also inspires us to obtain a new superpotential in the
Kaluza-Klein AdS gravity in four dimensions.
|
[
{
"created": "Wed, 25 Nov 2020 19:00:02 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Apr 2021 08:14:16 GMT",
"version": "v2"
}
] |
2021-04-08
|
[
[
"Ma",
"Liang",
""
],
[
"Lu",
"H.",
""
]
] |
We establish an explicit correspondence of Einstein gravity on the squashed spheres that are the $U(1)$ bundles over $\mathbb{CP}^m$ to the Kaluza-Klein AdS gravity on the tori. This allows us to map the Ricci-flat Kerr metrics in odd dimensions with all equal angular momenta to charged Kaluza-Klein AdS black holes that can be lifted to become singly rotating M-branes and D3-branes. Furthermore, we find maps between Ricci-flat gravitational instantons to the AdS domain walls. In particular the supersymmetric bolt instantons correspond to domain walls that can be interpreted as distributed M-branes and D3-branes, whilst the non-supersymmetric Taub-NUT solutions yield new domain walls that can be lifted to become solutions in M-theory or type IIB supergravity. The correspondence also inspires us to obtain a new superpotential in the Kaluza-Klein AdS gravity in four dimensions.
|
1605.00750
|
Gordon Semenoff
|
Hamid Omid, Gordon W. Semenoff, L.C.R. Wijewardhana
|
On the Light dilaton in the Large N Tri-critical O(N) Model
|
Eight pages, 2 figures
|
Phys. Rev. D 94, 125017 (2016)
|
10.1103/PhysRevD.94.125017
| null |
hep-th cond-mat.stat-mech hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The leading order of the large N limit of the O(N) symmetric phi-six theory
in three dimensions has a phase which exhibits spontaneous breaking of scale
symmetry accompanied by a massless dilaton which is a Goldstone boson. At the
next-to-leading order in large N, the phi-six coupling has a beta function of
order 1/N and it is expected that the dilaton acquires a small mass,
proportional to the beta function and the condensate. In this note, we show
that this "light dilaton" is actually a tachyon. This indicates an instability
of the phase of the theory with spontaneously broken approximate scale
invariance.
|
[
{
"created": "Tue, 3 May 2016 04:15:23 GMT",
"version": "v1"
}
] |
2016-12-28
|
[
[
"Omid",
"Hamid",
""
],
[
"Semenoff",
"Gordon W.",
""
],
[
"Wijewardhana",
"L. C. R.",
""
]
] |
The leading order of the large N limit of the O(N) symmetric phi-six theory in three dimensions has a phase which exhibits spontaneous breaking of scale symmetry accompanied by a massless dilaton which is a Goldstone boson. At the next-to-leading order in large N, the phi-six coupling has a beta function of order 1/N and it is expected that the dilaton acquires a small mass, proportional to the beta function and the condensate. In this note, we show that this "light dilaton" is actually a tachyon. This indicates an instability of the phase of the theory with spontaneously broken approximate scale invariance.
|
2311.14984
|
Satoshi Kanno
|
Hiroyuki Adachi, Goro Ishiki, Satoshi Kanno
|
Matrix regularization for gauge theories
|
32 pages, 0 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider how gauge theories can be described by matrix models.
Conventional matrix regularization is defined for scalar functions and is not
applicable to gauge fields, which are connections of fiber bundles. We clarify
how the degrees of freedom of gauge fields are related to the matrix degrees of
freedom, by formulating the Seiberg-Witten map between them.
|
[
{
"created": "Sat, 25 Nov 2023 10:01:43 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Dec 2023 12:27:23 GMT",
"version": "v2"
},
{
"created": "Fri, 2 Feb 2024 10:10:03 GMT",
"version": "v3"
}
] |
2024-02-05
|
[
[
"Adachi",
"Hiroyuki",
""
],
[
"Ishiki",
"Goro",
""
],
[
"Kanno",
"Satoshi",
""
]
] |
We consider how gauge theories can be described by matrix models. Conventional matrix regularization is defined for scalar functions and is not applicable to gauge fields, which are connections of fiber bundles. We clarify how the degrees of freedom of gauge fields are related to the matrix degrees of freedom, by formulating the Seiberg-Witten map between them.
|
2309.03261
|
Camille Eloy
|
Camille Eloy, Gabriel Larios
|
On non-supersymmetric stable marginal deformations in AdS$_3$/CFT$_2$
|
6 pages. v2: minor changes and references added
| null | null |
MI-HET-811
|
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We discuss a continuous family of non-supersymmetric AdS$_3\times
S^3\times{\rm T^4}$ vacua in heterotic and type II supergravities whose
complete Kaluza-Klein spectrum is computed and found to be free from
instabilities. This family is protected as well against some non-perturbative
decay channels, and as such it provides the first candidate for a
non-supersymmetric holographic conformal manifold in 2$d$. We also describe the
operators realising the deformations in the worldsheet and boundary CFT's.
|
[
{
"created": "Wed, 6 Sep 2023 18:00:00 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Oct 2023 16:10:04 GMT",
"version": "v2"
}
] |
2023-10-06
|
[
[
"Eloy",
"Camille",
""
],
[
"Larios",
"Gabriel",
""
]
] |
We discuss a continuous family of non-supersymmetric AdS$_3\times S^3\times{\rm T^4}$ vacua in heterotic and type II supergravities whose complete Kaluza-Klein spectrum is computed and found to be free from instabilities. This family is protected as well against some non-perturbative decay channels, and as such it provides the first candidate for a non-supersymmetric holographic conformal manifold in 2$d$. We also describe the operators realising the deformations in the worldsheet and boundary CFT's.
|
hep-th/9604169
| null |
Lionel Carminati, Bruno Iochum, Thomas Schucker (Marseille)
|
The Noncommutative Constraints on the Standard Model \`a la Connes
|
12 pages LaTeX, 4 figures
|
J.Math.Phys. 38 (1997) 1269-1280
|
10.1063/1.531903
|
CPT-96/P.3307
|
hep-th
| null |
Noncommutative geometry applied to the standard model of electroweak and
strong interactions was shown to produce fuzzy relations among masses and gauge
couplings. We refine these relations and show then that they are exhaustive.
|
[
{
"created": "Fri, 26 Apr 1996 15:58:35 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Carminati",
"Lionel",
"",
"Marseille"
],
[
"Iochum",
"Bruno",
"",
"Marseille"
],
[
"Schucker",
"Thomas",
"",
"Marseille"
]
] |
Noncommutative geometry applied to the standard model of electroweak and strong interactions was shown to produce fuzzy relations among masses and gauge couplings. We refine these relations and show then that they are exhaustive.
|
hep-th/0205035
|
Cristine Nunes Ferreira
|
C.N. Ferreira (IF/Ufrj), C.F.L. Godinho (CBPF/CCP) and J.A.
Helayel-Neto (CBPF/CCP and GFT)
|
A Discussion on Supersymmetric Cosmic Strings with Gauge-Field Mixing
|
7 pages, no figures, ReVTex format, to appear in New Journal of
Physics
|
New J.Phys. 6 (2004) 58
|
10.1088/1367-2630/6/1/058
| null |
hep-th
| null |
In this paper, following a stream of investigation on supersymmetric gauge
theories with cosmic string solutions, we contemplate the possibility of
building up a D-and-F term cosmic string by means of a gauge-field mixing in
connection with a U(1) x U(1)'-symmetry. The spontaneous break of both gauge
symmetry and supersymmetry are thoroughly analysed and the fermion zero-modes
are worked out. The role of the gauge-field mixing parameter is elucidated in
connection with the string configuration that comes out. As an application of
the model presented here, we propose the possibility that the supersimetric
cosmic string yield production of fermionic charge carriers that may eject, at
their late stages, particles that subsequently decay to produce cosmic rays of
ultra-high energy. In our work, it turns out that massive supersymmetric
fermionic partners may be produced for a susy breaking scale in the range
10^{11} to 10^{13} GeV, which is compatible with the phenomenology of a
gravitino mass at the TeV scale. We also determine the range of the gauge-field
mixing parameter, \alpha, in connection with the mass scales of the present
model.
|
[
{
"created": "Sat, 4 May 2002 19:28:05 GMT",
"version": "v1"
},
{
"created": "Sat, 1 May 2004 14:00:58 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Ferreira",
"C. N.",
"",
"IF/Ufrj"
],
[
"Godinho",
"C. F. L.",
"",
"CBPF/CCP"
],
[
"Helayel-Neto",
"J. A.",
"",
"CBPF/CCP and GFT"
]
] |
In this paper, following a stream of investigation on supersymmetric gauge theories with cosmic string solutions, we contemplate the possibility of building up a D-and-F term cosmic string by means of a gauge-field mixing in connection with a U(1) x U(1)'-symmetry. The spontaneous break of both gauge symmetry and supersymmetry are thoroughly analysed and the fermion zero-modes are worked out. The role of the gauge-field mixing parameter is elucidated in connection with the string configuration that comes out. As an application of the model presented here, we propose the possibility that the supersimetric cosmic string yield production of fermionic charge carriers that may eject, at their late stages, particles that subsequently decay to produce cosmic rays of ultra-high energy. In our work, it turns out that massive supersymmetric fermionic partners may be produced for a susy breaking scale in the range 10^{11} to 10^{13} GeV, which is compatible with the phenomenology of a gravitino mass at the TeV scale. We also determine the range of the gauge-field mixing parameter, \alpha, in connection with the mass scales of the present model.
|
2108.06334
|
Scott Melville
|
Joe Davighi, Scott Melville, Tevong You
|
Natural Selection Rules: New Positivity Bounds for Massive Spinning
Particles
|
33 pages + appendices, 1 figure, 1 table
| null |
10.1007/JHEP02(2022)167
|
CERN-TH-2021-122
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive new effective field theory (EFT) positivity bounds on the elastic
$2\to2$ scattering amplitudes of massive spinning particles from the standard
UV properties of unitarity, causality, locality and Lorentz invariance. By
bounding the $t$ derivatives of the amplitude (which can be represented as
angular momentum matrix elements) in terms of the total ingoing helicity, we
derive stronger unitarity bounds on the $s$- and $u$-channel branch cuts which
determine the dispersion relation. In contrast to previous positivity bounds,
which relate the $t$-derivative to the forward-limit EFT amplitude with no $t$
derivatives, our bounds establish that the $t$-derivative alone must be
strictly positive for sufficiently large helicities. Consequently, they provide
stronger constraints beyond the forward limit and can be used to constrain
dimension-6 interactions with a milder assumption about the high-energy growth
of the UV amplitude.
|
[
{
"created": "Fri, 13 Aug 2021 17:55:11 GMT",
"version": "v1"
}
] |
2022-03-09
|
[
[
"Davighi",
"Joe",
""
],
[
"Melville",
"Scott",
""
],
[
"You",
"Tevong",
""
]
] |
We derive new effective field theory (EFT) positivity bounds on the elastic $2\to2$ scattering amplitudes of massive spinning particles from the standard UV properties of unitarity, causality, locality and Lorentz invariance. By bounding the $t$ derivatives of the amplitude (which can be represented as angular momentum matrix elements) in terms of the total ingoing helicity, we derive stronger unitarity bounds on the $s$- and $u$-channel branch cuts which determine the dispersion relation. In contrast to previous positivity bounds, which relate the $t$-derivative to the forward-limit EFT amplitude with no $t$ derivatives, our bounds establish that the $t$-derivative alone must be strictly positive for sufficiently large helicities. Consequently, they provide stronger constraints beyond the forward limit and can be used to constrain dimension-6 interactions with a milder assumption about the high-energy growth of the UV amplitude.
|
1304.4582
|
Alexis Roa Aguirre
|
A.R. Aguirre, J.F. Gomes, L.H. Ymai, A.H. Zimerman
|
N=1 super sinh-Gordon model in the half line: Breather solutions
|
24 pages, accepted for publication in JHEP
|
JHEP 04 (2013) 136
|
10.1007/JHEP04(2013)136
| null |
hep-th math-ph math.MP nlin.SI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We examine the N=1 super sinh-Gordon (SShG) model restricted into the half
line through a reduction from the defect SShG model. The B\"acklund
transformations are employed to generate one-, two- and three-soliton solutions
as well as a class of breathers solution for this model. The parameters of such
classical solutions are shown to satisfy some contraints in order to preserve
both integrability and supersymmetry properties of the original bulk theory.
Additionally, previous results are recovered when performing the purely bosonic
limit.
|
[
{
"created": "Tue, 16 Apr 2013 19:55:02 GMT",
"version": "v1"
}
] |
2013-05-01
|
[
[
"Aguirre",
"A. R.",
""
],
[
"Gomes",
"J. F.",
""
],
[
"Ymai",
"L. H.",
""
],
[
"Zimerman",
"A. H.",
""
]
] |
We examine the N=1 super sinh-Gordon (SShG) model restricted into the half line through a reduction from the defect SShG model. The B\"acklund transformations are employed to generate one-, two- and three-soliton solutions as well as a class of breathers solution for this model. The parameters of such classical solutions are shown to satisfy some contraints in order to preserve both integrability and supersymmetry properties of the original bulk theory. Additionally, previous results are recovered when performing the purely bosonic limit.
|
2004.05885
|
Nakwoo Kim
|
Nakwoo Kim
|
Towards an explicit construction of de Sitter solutions in classical
supergravity
|
v3: 4 pages, 1 figure
| null |
10.1007/JHEP10(2020)057
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We revisit the stringy construction of four-dimensional de-Sitter solutions
using orientifolds O$8_{\pm}$, proposed by C\'ordova et al. arXiv:1911.04498.
While the original analysis of the supergravity equations is largely numerical,
we obtain semi-analytic solutions by treating the curvature as a perturbative
parameter. At each order we verify that the (permissive) boundary conditions at
the orientifolds are satisfied. To illustrate the advantage of our result, we
calculate the four-dimensional Newton constant as a function of the
cosmological constant. We also discuss how the discontinuities at O$8_-$ can be
accounted for in terms of corrections to the worldvolume action.
|
[
{
"created": "Mon, 13 Apr 2020 12:08:08 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Apr 2020 04:23:35 GMT",
"version": "v2"
},
{
"created": "Wed, 24 Jun 2020 00:54:25 GMT",
"version": "v3"
}
] |
2020-10-15
|
[
[
"Kim",
"Nakwoo",
""
]
] |
We revisit the stringy construction of four-dimensional de-Sitter solutions using orientifolds O$8_{\pm}$, proposed by C\'ordova et al. arXiv:1911.04498. While the original analysis of the supergravity equations is largely numerical, we obtain semi-analytic solutions by treating the curvature as a perturbative parameter. At each order we verify that the (permissive) boundary conditions at the orientifolds are satisfied. To illustrate the advantage of our result, we calculate the four-dimensional Newton constant as a function of the cosmological constant. We also discuss how the discontinuities at O$8_-$ can be accounted for in terms of corrections to the worldvolume action.
|
hep-th/0010107
|
Van der Jeugt, Joris
|
T.D. Palev and J. Van der Jeugt
|
Jacobson generators, Fock representations and statistics of sl(n+1)
|
LaTeX-file, 33 pages
|
J.Math.Phys.43:3850-3873,2002
|
10.1063/1.1481544
|
TWI-00-05
|
hep-th cond-mat.stat-mech math-ph math.MP math.QA quant-ph
| null |
The properties of A-statistics, related to the class of simple Lie algebras
sl(n+1) (Palev, T.D.: Preprint JINR E17-10550 (1977); hep-th/9705032), are
further investigated. The description of each sl(n+1) is carried out via
generators and their relations, first introduced by Jacobson. The related Fock
spaces W_p (p=1,2,...) are finite-dimensional irreducible sl(n+1)-modules. The
Pauli principle of the underlying statistics is formulated. In addition the
paper contains the following new results: (a) The A-statistics are interpreted
as exclusion statistics; (b) Within each W_p operators B(p)_1^\pm, ...,
B(p)_n^\pm, proportional to the Jacobson generators, are introduced. It is
proved that in an appropriate topology the limit of B(p)_i^\pm for p going to
infinity is equal to B_i^\pm, where B_i^\pm are Bose creation and annihilation
operators; (c) It is shown that the local statistics of the degenerated
hard-core Bose models and of the related Heisenberg spin models is p=1
A-statistics.
|
[
{
"created": "Fri, 13 Oct 2000 09:24:24 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Palev",
"T. D.",
""
],
[
"Van der Jeugt",
"J.",
""
]
] |
The properties of A-statistics, related to the class of simple Lie algebras sl(n+1) (Palev, T.D.: Preprint JINR E17-10550 (1977); hep-th/9705032), are further investigated. The description of each sl(n+1) is carried out via generators and their relations, first introduced by Jacobson. The related Fock spaces W_p (p=1,2,...) are finite-dimensional irreducible sl(n+1)-modules. The Pauli principle of the underlying statistics is formulated. In addition the paper contains the following new results: (a) The A-statistics are interpreted as exclusion statistics; (b) Within each W_p operators B(p)_1^\pm, ..., B(p)_n^\pm, proportional to the Jacobson generators, are introduced. It is proved that in an appropriate topology the limit of B(p)_i^\pm for p going to infinity is equal to B_i^\pm, where B_i^\pm are Bose creation and annihilation operators; (c) It is shown that the local statistics of the degenerated hard-core Bose models and of the related Heisenberg spin models is p=1 A-statistics.
|
2012.14699
|
Chao Wu
|
Chao Wu and Yanqi Wang
|
Second order transport coefficients of nonconformal fluids from
compactified Dp-branes
|
41 pages, 2 tables
| null |
10.1007/JHEP05(2021)262
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
All the 7 dynamical second order transport coefficients of the nonconformal
fluids that correspond to Dp-branes with one or more world-volume directions
compactified are derived via fluid/gravity correspondence. The conditions
considered in this paper include D4-brane with 1, 2 or 3 compact directions,
D3-brane with 1 or 2 compact directions, as well as D2-brane with 1 direction
compactified. The derived second order transport coefficients satisfy the
Haack-Yarom, Romatschke and Kleinert-Probst relations.
|
[
{
"created": "Tue, 29 Dec 2020 10:40:00 GMT",
"version": "v1"
},
{
"created": "Sat, 19 Jun 2021 08:48:36 GMT",
"version": "v2"
}
] |
2021-06-22
|
[
[
"Wu",
"Chao",
""
],
[
"Wang",
"Yanqi",
""
]
] |
All the 7 dynamical second order transport coefficients of the nonconformal fluids that correspond to Dp-branes with one or more world-volume directions compactified are derived via fluid/gravity correspondence. The conditions considered in this paper include D4-brane with 1, 2 or 3 compact directions, D3-brane with 1 or 2 compact directions, as well as D2-brane with 1 direction compactified. The derived second order transport coefficients satisfy the Haack-Yarom, Romatschke and Kleinert-Probst relations.
|
hep-th/9212057
| null |
J. Ellis, N.E. Mavromatos, D.V. Nanopoulos
|
CPT Violation in String-Modified Quantum Mechanics and the Neutral Kaon
System
|
19 pages
|
Int.J.Mod.Phys.A11:1489-1508,1996
|
10.1142/S0217751X96000687
|
CERN.TH 6755/92
|
hep-th hep-ph
| null |
We show that $CPT$ is in general violated in a non-quantum-mechanical way in
the effective low-energy theory derived from string theory, as a result of
apparent world-sheet charge non-conservation induced by stringy monopoles
corresponding to target-space black hole configurations. This modification of
quantum mechanics does not violate energy conservation. The magnitude of this
effective spontaneous violation of $CPT$ may not be be far from the present
experimental sensitivity in the neutral kaon system. We demonstrate that our
previously proposed stringy modifications to the quantum-mechanical description
of the neutral kaon system violate $CPT$, although in a different way from that
assumed in phenomenological analyses within conventional quantum mechanics. We
constrain the novel $CPT$-violating parameters using available data on $K_L
\rightarrow 2\pi$, $K_S \rightarrow 3\pi ^0$ and semileptonic $K_{L,S}$ decay
asymmetries. We demonstrate that these data and an approximate treatment of
interference effects in $K \rightarrow 2\pi $ decays are consistent with a {\it
non-vanishing} amount of $CPT$ violation at a level accessible to a new round
of experiments, and further data and/or analysis are required to exclude the
extreme possibility that they dominate over $CP$ violation. Could
non-quantum-field theoretical and non-quantum-mechanical $CPT$ violation usher
in the long-awaited era of string phenomenology?}
|
[
{
"created": "Wed, 9 Dec 1992 17:43:49 GMT",
"version": "v1"
}
] |
2009-09-11
|
[
[
"Ellis",
"J.",
""
],
[
"Mavromatos",
"N. E.",
""
],
[
"Nanopoulos",
"D. V.",
""
]
] |
We show that $CPT$ is in general violated in a non-quantum-mechanical way in the effective low-energy theory derived from string theory, as a result of apparent world-sheet charge non-conservation induced by stringy monopoles corresponding to target-space black hole configurations. This modification of quantum mechanics does not violate energy conservation. The magnitude of this effective spontaneous violation of $CPT$ may not be be far from the present experimental sensitivity in the neutral kaon system. We demonstrate that our previously proposed stringy modifications to the quantum-mechanical description of the neutral kaon system violate $CPT$, although in a different way from that assumed in phenomenological analyses within conventional quantum mechanics. We constrain the novel $CPT$-violating parameters using available data on $K_L \rightarrow 2\pi$, $K_S \rightarrow 3\pi ^0$ and semileptonic $K_{L,S}$ decay asymmetries. We demonstrate that these data and an approximate treatment of interference effects in $K \rightarrow 2\pi $ decays are consistent with a {\it non-vanishing} amount of $CPT$ violation at a level accessible to a new round of experiments, and further data and/or analysis are required to exclude the extreme possibility that they dominate over $CP$ violation. Could non-quantum-field theoretical and non-quantum-mechanical $CPT$ violation usher in the long-awaited era of string phenomenology?}
|
1304.7100
|
Andrea Prudenziati
|
Masahiro Nozaki, Tokiro Numasawa, Andrea Prudenziati, Tadashi
Takayanagi
|
Dynamics of Entanglement Entropy from Einstein Equation
|
v2: 24 pages, calculations of translationally invariant limit have
been corrected in section 4 and 5. References added
| null |
10.1103/PhysRevD.88.026012
|
YITP-13-29, IPMU-13-0083
|
hep-th cond-mat.str-el quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the dynamics of entanglement entropy for weakly excited states in
conformal field theories by using the AdS/CFT. This is aimed at a first step to
find a counterpart of Einstein equation in the CFT language. In particular, we
point out that the entanglement entropy satisfies differential equations which
directly correspond to the Einstein equation in several setups of AdS/CFT. We
also define a quantity called entanglement density in higher dimensional field
theories and study its dynamical property for weakly excited states in
conformal field theories.
|
[
{
"created": "Fri, 26 Apr 2013 09:06:54 GMT",
"version": "v1"
},
{
"created": "Fri, 17 May 2013 10:27:35 GMT",
"version": "v2"
}
] |
2013-08-09
|
[
[
"Nozaki",
"Masahiro",
""
],
[
"Numasawa",
"Tokiro",
""
],
[
"Prudenziati",
"Andrea",
""
],
[
"Takayanagi",
"Tadashi",
""
]
] |
We study the dynamics of entanglement entropy for weakly excited states in conformal field theories by using the AdS/CFT. This is aimed at a first step to find a counterpart of Einstein equation in the CFT language. In particular, we point out that the entanglement entropy satisfies differential equations which directly correspond to the Einstein equation in several setups of AdS/CFT. We also define a quantity called entanglement density in higher dimensional field theories and study its dynamical property for weakly excited states in conformal field theories.
|
0711.0760
|
John Ward
|
John Ward
|
DBI N-flation
|
33 pages, 8 figures. References added and typos corrected. Submitted
to JHEP
|
JHEP 0712:045,2007
|
10.1088/1126-6708/2007/12/045
| null |
hep-th astro-ph
| null |
We investigate DBI inflation using $N$ multiple branes and show how the
configuration is equivalent to a single wrapped $D5$-brane with flux. We then
show how 1/N corrections can be implemented, and we examine the sound speed and
levels of non-Gaussianities in two distinct cases. For models with constant
warping we find that the non-Gaussian amplitude is bounded from above (as a
function of $\gamma$). For $AdS$ backgrounds we find that the signature is
generally large and positive, although is no longer globally defined over the
full phase space. We then investigate an inflationary mechanism using a
representation cascade, whereby the transition from a reducible representation
to the irrep drives inflation.
|
[
{
"created": "Tue, 6 Nov 2007 00:45:43 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Nov 2007 19:16:43 GMT",
"version": "v2"
},
{
"created": "Mon, 26 Nov 2007 23:03:36 GMT",
"version": "v3"
}
] |
2009-05-20
|
[
[
"Ward",
"John",
""
]
] |
We investigate DBI inflation using $N$ multiple branes and show how the configuration is equivalent to a single wrapped $D5$-brane with flux. We then show how 1/N corrections can be implemented, and we examine the sound speed and levels of non-Gaussianities in two distinct cases. For models with constant warping we find that the non-Gaussian amplitude is bounded from above (as a function of $\gamma$). For $AdS$ backgrounds we find that the signature is generally large and positive, although is no longer globally defined over the full phase space. We then investigate an inflationary mechanism using a representation cascade, whereby the transition from a reducible representation to the irrep drives inflation.
|
1107.4356
|
Marco Billo'
|
Marco Billo', Michele Caselle and Roberto Pellegrini
|
New numerical results and novel effective string predictions for Wilson
loops
|
27 pages, LaTeX2e, 5 figures - Revised version which corrects a few
misprints present in the published version, regarding Eq.s (4.30), (4.35),
(A.4) and (A.6). Plots and results of the paper are not affected since they
were derived from the correct formulae
| null |
10.1007/JHEP01(2012)104
|
DFTT/18/2011
|
hep-th hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the prediction of the Nambu-Goto effective string model for a
rectangular Wilson loop up to three loops. This is done through the use of an
operatorial, first order formulation and of the open string analogues of
boundary states. This result is interesting since there are universality
theorems stating that the predictions up to three loops are common to all
effective string models. To test the effective string prediction, we set up the
Montecarlo evaluation, in the 3d Ising gauge model, of an observable (the ratio
of two Wilson loops with the same perimeter) for which boundary effects are
relatively small. Our simulation attains a level of precision which is
sufficient to test the two-loop correction. The three-loop correction seems to
go in the right direction, but is actually yet beyond the reach of our
simulation, since its effect is comparable with the statistical errors of the
latter.
|
[
{
"created": "Thu, 21 Jul 2011 19:58:56 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Feb 2012 08:44:10 GMT",
"version": "v2"
},
{
"created": "Thu, 21 Mar 2013 10:39:58 GMT",
"version": "v3"
}
] |
2013-03-22
|
[
[
"Billo'",
"Marco",
""
],
[
"Caselle",
"Michele",
""
],
[
"Pellegrini",
"Roberto",
""
]
] |
We compute the prediction of the Nambu-Goto effective string model for a rectangular Wilson loop up to three loops. This is done through the use of an operatorial, first order formulation and of the open string analogues of boundary states. This result is interesting since there are universality theorems stating that the predictions up to three loops are common to all effective string models. To test the effective string prediction, we set up the Montecarlo evaluation, in the 3d Ising gauge model, of an observable (the ratio of two Wilson loops with the same perimeter) for which boundary effects are relatively small. Our simulation attains a level of precision which is sufficient to test the two-loop correction. The three-loop correction seems to go in the right direction, but is actually yet beyond the reach of our simulation, since its effect is comparable with the statistical errors of the latter.
|
0812.4450
|
Rolf Schimmrigk
|
Rolf Schimmrigk
|
Emergent spacetime from modular motives
|
40 pages
|
Commun.Math.Phys.303:1-30,2011
|
10.1007/s00220-010-1179-4
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The program of constructing spacetime geometry from string theoretic modular
forms is extended to Calabi-Yau varieties of dimensions two, three, and four,
as well as higher rank motives. Modular forms on the worldsheet can be
constructed from the geometry of spacetime by computing the L-functions
associated to omega motives of Calabi-Yau varieties, generated by their
holomorphic $n-$forms via Galois representations. The modular forms that emerge
from the omega motive and other motives of the intermediate cohomology are
related to characters of the underlying rational conformal field theory. The
converse problem of constructing space from string theory proceeds in the class
of diagonal theories by determining the motives associated to modular forms in
the category of motives with complex multiplication. The emerging picture
indicates that the L-function can be interpreted as a map from the geometric
category of motives to the category of conformal field theories on the
worldsheet.
|
[
{
"created": "Tue, 23 Dec 2008 21:05:41 GMT",
"version": "v1"
}
] |
2011-03-14
|
[
[
"Schimmrigk",
"Rolf",
""
]
] |
The program of constructing spacetime geometry from string theoretic modular forms is extended to Calabi-Yau varieties of dimensions two, three, and four, as well as higher rank motives. Modular forms on the worldsheet can be constructed from the geometry of spacetime by computing the L-functions associated to omega motives of Calabi-Yau varieties, generated by their holomorphic $n-$forms via Galois representations. The modular forms that emerge from the omega motive and other motives of the intermediate cohomology are related to characters of the underlying rational conformal field theory. The converse problem of constructing space from string theory proceeds in the class of diagonal theories by determining the motives associated to modular forms in the category of motives with complex multiplication. The emerging picture indicates that the L-function can be interpreted as a map from the geometric category of motives to the category of conformal field theories on the worldsheet.
|
1511.06978
|
Ashoke Sen
|
Abhishek Chowdhury, Richard S. Garavuso, Swapnamay Mondal, Ashoke Sen
|
Do All BPS Black Hole Microstates Carry Zero Angular Momentum?
|
LaTeX, 42 pages; v2: minor corrections, some new results added
| null |
10.1007/JHEP04(2016)082
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
From the analysis of the near horizon geometry and supersymmetry algebra it
has been argued that all the microstates of single centered BPS black holes
with four unbroken supersymmetries carry zero angular momentum in the region of
the moduli space where the black hole description is valid. A stronger form of
the conjecture would be that the result holds for any sufficiently generic
point in the moduli space. In this paper we set out to test this conjecture for
a class of black hole microstates in type II string theory on $T^6$,
represented by four stacks of D-branes wrapped on various cycles of $T^6$. For
this system the above conjecture translates to the statement that the moduli
space of classical vacua must be a collection of points. Explicit analysis of
systems carrying a low number of D-branes supports this conjecture.
|
[
{
"created": "Sun, 22 Nov 2015 08:08:46 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Jan 2016 10:26:56 GMT",
"version": "v2"
}
] |
2016-05-04
|
[
[
"Chowdhury",
"Abhishek",
""
],
[
"Garavuso",
"Richard S.",
""
],
[
"Mondal",
"Swapnamay",
""
],
[
"Sen",
"Ashoke",
""
]
] |
From the analysis of the near horizon geometry and supersymmetry algebra it has been argued that all the microstates of single centered BPS black holes with four unbroken supersymmetries carry zero angular momentum in the region of the moduli space where the black hole description is valid. A stronger form of the conjecture would be that the result holds for any sufficiently generic point in the moduli space. In this paper we set out to test this conjecture for a class of black hole microstates in type II string theory on $T^6$, represented by four stacks of D-branes wrapped on various cycles of $T^6$. For this system the above conjecture translates to the statement that the moduli space of classical vacua must be a collection of points. Explicit analysis of systems carrying a low number of D-branes supports this conjecture.
|
2006.14165
|
Tadahito Nakajima
|
Tadahito Nakajima
|
Universal terms for holographic entanglement entropy in noncommutative
Yang--Mills theory
|
25 pages, 10 figures; v2: minor corrections and references added,
version to appear in Phys. Rev. D
|
Phys. Rev. D 103, 086005 (2021)
|
10.1103/PhysRevD.103.086005
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we derive the universal (cut-off-independent) part of the
holographic entanglement entropy in the noncommutative Yang-Mills theory and
examine its properties in detail. The behavior of the holographic entanglement
entropy as a function of a scale of the system changes drastically between
large noncommutativity and small noncommutativity. The strong subadditivity
inequality for the entanglement entropies in the noncommutative Yang-Mills
theory is modified in large noncommutativity. The behavior of entropic
$c$-function defined by means of the entanglement entropy also changes
drastically between large noncommutativity and small noncommutativity. In
addition, there is a transition for the entanglement entropy in the
noncommutative Yang-Mills theory at finite temperature.
|
[
{
"created": "Thu, 25 Jun 2020 04:14:56 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Mar 2021 04:32:07 GMT",
"version": "v2"
}
] |
2021-04-14
|
[
[
"Nakajima",
"Tadahito",
""
]
] |
In this paper, we derive the universal (cut-off-independent) part of the holographic entanglement entropy in the noncommutative Yang-Mills theory and examine its properties in detail. The behavior of the holographic entanglement entropy as a function of a scale of the system changes drastically between large noncommutativity and small noncommutativity. The strong subadditivity inequality for the entanglement entropies in the noncommutative Yang-Mills theory is modified in large noncommutativity. The behavior of entropic $c$-function defined by means of the entanglement entropy also changes drastically between large noncommutativity and small noncommutativity. In addition, there is a transition for the entanglement entropy in the noncommutative Yang-Mills theory at finite temperature.
|
1806.04332
|
Dillon Berger
|
Dillon Berger, Jessica N. Howard, Arvind Rajaraman
|
Invariant Tensors in Gauge Theories
| null | null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Invariant tensors play an important role in gauge theories, for example, in
dualities of N=1 gauge theories. However, for theories with fields in
representations larger than the fundamental, the full set of invariant tensors
is often difficult to construct. We present a new approach to the construction
of these tensors, and use it to find the complete set of invariant tensors of a
theory of SO(3) with fields in the symmetric tensor representation.
|
[
{
"created": "Tue, 12 Jun 2018 04:54:03 GMT",
"version": "v1"
}
] |
2018-06-13
|
[
[
"Berger",
"Dillon",
""
],
[
"Howard",
"Jessica N.",
""
],
[
"Rajaraman",
"Arvind",
""
]
] |
Invariant tensors play an important role in gauge theories, for example, in dualities of N=1 gauge theories. However, for theories with fields in representations larger than the fundamental, the full set of invariant tensors is often difficult to construct. We present a new approach to the construction of these tensors, and use it to find the complete set of invariant tensors of a theory of SO(3) with fields in the symmetric tensor representation.
|
hep-th/0005242
|
Yaron Oz
|
Philippe Brax, Gautam Mandal, Yaron Oz
|
Supergravity Description of Non-BPS Branes
|
30 pages, Latex, 5 figures, Discussion of non-BPS D-instantons added,
ref. added
|
Phys.Rev.D63:064008,2001
|
10.1103/PhysRevD.63.064008
|
CERN-TH/2000-090, TIFR/TH/00-24, SPhT/00-73
|
hep-th
| null |
We construct supergravity solutions that correspond to N Dp-branes coinciding
with \bar{N} \bar{Dp}-branes. We study the physical properties of the solutions
and analyse the supergravity description of tachyon condensation. We construct
an interpolation between the brane-antibrane solution and the Schwarzschild
solution and discuss its possible application to the study of
non-supersymmetric black holes.
|
[
{
"created": "Thu, 25 May 2000 15:23:44 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Jul 2000 10:35:18 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Brax",
"Philippe",
""
],
[
"Mandal",
"Gautam",
""
],
[
"Oz",
"Yaron",
""
]
] |
We construct supergravity solutions that correspond to N Dp-branes coinciding with \bar{N} \bar{Dp}-branes. We study the physical properties of the solutions and analyse the supergravity description of tachyon condensation. We construct an interpolation between the brane-antibrane solution and the Schwarzschild solution and discuss its possible application to the study of non-supersymmetric black holes.
|
hep-th/0112214
|
Aref'eva Irina
|
I.Ya. Aref'eva, A.A. Giryavets, P.B. Medvedev
|
NS Matter Sliver
|
16 pages
|
Phys.Lett. B532 (2002) 291-296
|
10.1016/S0370-2693(02)01568-X
| null |
hep-th
| null |
Using algebraic methods the Neveu-Schwarz fermionic matter sliver is
constructed. Inspirited by the wedge algebra two equations for the sliver,
linear and quadratic, are considered. It is shown that both equations give the
same nontrivial answer. The sliver is considered also using CFT methods where
it is defined as the limit of the wedge states in the NS sector of the
superstring.
|
[
{
"created": "Fri, 21 Dec 2001 17:14:42 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Jan 2002 04:33:06 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Aref'eva",
"I. Ya.",
""
],
[
"Giryavets",
"A. A.",
""
],
[
"Medvedev",
"P. B.",
""
]
] |
Using algebraic methods the Neveu-Schwarz fermionic matter sliver is constructed. Inspirited by the wedge algebra two equations for the sliver, linear and quadratic, are considered. It is shown that both equations give the same nontrivial answer. The sliver is considered also using CFT methods where it is defined as the limit of the wedge states in the NS sector of the superstring.
|
1312.0091
|
Julio Marny Hoff da Silva
|
A. de Souza Dutra, G. P. de Brito, and J. M. Hoff da Silva
|
Asymmetrical bloch branes and the hierarchy problem
|
8 pages, 7 figures
| null |
10.1209/0295-5075/108/11001
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate a two scalar fields split braneworld model which leads to a
possible approach to the hierarchy problem within the thick brane scenario. The
model exhibits a resulting asymmetric warp factor suitable for this purpose.
The solution is obtained by means of the orbit equation approach for a specific
value of one of the parameters. Besides, we analyze the model qualitative
behaviour for arbitrary parameters by inspecting the underlying dynamical
system defined by the equations which give rise to the braneworld model. We
finalize commenting on the metric fluctuation and stability issues.
|
[
{
"created": "Sat, 30 Nov 2013 11:24:41 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Apr 2014 21:35:46 GMT",
"version": "v2"
}
] |
2015-06-18
|
[
[
"Dutra",
"A. de Souza",
""
],
[
"de Brito",
"G. P.",
""
],
[
"da Silva",
"J. M. Hoff",
""
]
] |
We investigate a two scalar fields split braneworld model which leads to a possible approach to the hierarchy problem within the thick brane scenario. The model exhibits a resulting asymmetric warp factor suitable for this purpose. The solution is obtained by means of the orbit equation approach for a specific value of one of the parameters. Besides, we analyze the model qualitative behaviour for arbitrary parameters by inspecting the underlying dynamical system defined by the equations which give rise to the braneworld model. We finalize commenting on the metric fluctuation and stability issues.
|
1409.4184
|
Mirko Serino
|
Luigi Delle Rose, Carlo Marzo and Mirko Serino
|
Conformal anomaly actions for dilaton interactions
|
6 pages, 2 figures
| null |
10.1051/epjconf/20148000015
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss, in conformally invariant field theories such as QCD with massless
fermions, a possible link between the perturbative signature of the conformal
anomaly, in the form of anomaly poles of the 1-particle irreducible effective
action, and its description in terms of Wess-Zumino actions with a dilaton. The
two descriptions are expected to capture the UV and IR behaviour of the
conformal anomaly, in terms of fundamental and effective degrees of freedom
respectively, with the dilaton effective state appearing in a nonlinear
realization. As in the chiral case, conformal anomalies seem to be related to
the appearance of these effective interactions in the 1PI action in all the
gauge-invariant sectors of the Standard Model. We show that, as a consequence
of the underlying anomalous symmetry, the infinite hierarchy of recurrence
relations involving self-interactions of the dilaton is entirely determined
only by the first four of them. This relation can be generalized to any even
space-time dimension.
|
[
{
"created": "Mon, 15 Sep 2014 08:48:50 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Sep 2014 21:36:24 GMT",
"version": "v2"
},
{
"created": "Fri, 19 Sep 2014 10:20:13 GMT",
"version": "v3"
},
{
"created": "Tue, 7 Oct 2014 15:41:49 GMT",
"version": "v4"
}
] |
2015-06-22
|
[
[
"Rose",
"Luigi Delle",
""
],
[
"Marzo",
"Carlo",
""
],
[
"Serino",
"Mirko",
""
]
] |
We discuss, in conformally invariant field theories such as QCD with massless fermions, a possible link between the perturbative signature of the conformal anomaly, in the form of anomaly poles of the 1-particle irreducible effective action, and its description in terms of Wess-Zumino actions with a dilaton. The two descriptions are expected to capture the UV and IR behaviour of the conformal anomaly, in terms of fundamental and effective degrees of freedom respectively, with the dilaton effective state appearing in a nonlinear realization. As in the chiral case, conformal anomalies seem to be related to the appearance of these effective interactions in the 1PI action in all the gauge-invariant sectors of the Standard Model. We show that, as a consequence of the underlying anomalous symmetry, the infinite hierarchy of recurrence relations involving self-interactions of the dilaton is entirely determined only by the first four of them. This relation can be generalized to any even space-time dimension.
|
2211.13863
|
Daichi Takeda
|
Koji Hashimoto, Daichi Takeda, Koichiro Tanaka, Shingo Yonezawa
|
Spacetime-emergent ring toward tabletop quantum gravity experiments
|
23 pages, 9 figures, discussion expanded
| null | null |
KUNS-2944
|
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a way to discover, in tabletop experiments, spacetime-emergent
materials, that is, materials holographically dual to higher-dimensional
quantum gravity systems under the AdS/CFT correspondence. The emergence of the
holographic spacetime is verified by a mathematical imaging transform of the
response function on the material. We consider theories on a 1-dimensional
ring-shaped material, and compute the response to a scalar source locally put
at a point on the ring. When the theory on the material has a gravity dual, the
imaging in the low temperature phase exhibits a distinct difference from the
ordinary materials: the spacetime-emergent material can look into the
holographically emergent higher-dimensional curved spacetime and provides an
image as if a wave had propagated there. Therefore the image is an experimental
signature of the spacetime emergence. We also estimate temperature, ring size
and source frequency usable in experiments, with an example of a quantum
critical material, TlCuCl$_3$.
|
[
{
"created": "Fri, 25 Nov 2022 02:26:36 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Dec 2022 02:18:27 GMT",
"version": "v2"
}
] |
2022-12-14
|
[
[
"Hashimoto",
"Koji",
""
],
[
"Takeda",
"Daichi",
""
],
[
"Tanaka",
"Koichiro",
""
],
[
"Yonezawa",
"Shingo",
""
]
] |
We propose a way to discover, in tabletop experiments, spacetime-emergent materials, that is, materials holographically dual to higher-dimensional quantum gravity systems under the AdS/CFT correspondence. The emergence of the holographic spacetime is verified by a mathematical imaging transform of the response function on the material. We consider theories on a 1-dimensional ring-shaped material, and compute the response to a scalar source locally put at a point on the ring. When the theory on the material has a gravity dual, the imaging in the low temperature phase exhibits a distinct difference from the ordinary materials: the spacetime-emergent material can look into the holographically emergent higher-dimensional curved spacetime and provides an image as if a wave had propagated there. Therefore the image is an experimental signature of the spacetime emergence. We also estimate temperature, ring size and source frequency usable in experiments, with an example of a quantum critical material, TlCuCl$_3$.
|
hep-th/0603072
|
Suresh Paingalil Kunjan
|
Rizwan Ul Haq Ansari, P K Suresh
|
On the one-loop correction of "phi^4" theory in higher dimensions
|
8 pages, 5 figures. To appear in IJMPA
|
Int.J.Mod.Phys.A22:5369-5377,2007
|
10.1142/S0217751X07038086
| null |
hep-th gr-qc
| null |
We have considered phi^4 theory in higher dimensions. Using functional
diagrammatic approach, we computed the one-loop correction to effective
potential of the scalar field in five dimensions. It is shown that phi^4 theory
can be regularised in five dimensions. Temperature dependent one-loop
correction and critical temperature T_c are computed and T_c depends on the
fundamental scale M of the theory. A brief discussion of symmetry restoration
is also presented. The nature of phase transitions is examined and is of second
order
|
[
{
"created": "Thu, 9 Mar 2006 14:18:17 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Nov 2007 10:39:54 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Ansari",
"Rizwan Ul Haq",
""
],
[
"Suresh",
"P K",
""
]
] |
We have considered phi^4 theory in higher dimensions. Using functional diagrammatic approach, we computed the one-loop correction to effective potential of the scalar field in five dimensions. It is shown that phi^4 theory can be regularised in five dimensions. Temperature dependent one-loop correction and critical temperature T_c are computed and T_c depends on the fundamental scale M of the theory. A brief discussion of symmetry restoration is also presented. The nature of phase transitions is examined and is of second order
|
hep-th/9608087
|
Park daegil
|
D.K.Park
|
Comment on prescription problem in light-cone gauge
|
5 pages, Latex
|
J.Korean Phys.Soc. 28 (1995) 793-795
| null | null |
hep-th
| null |
Recently suggested causal principal value and causal prescriptions for the
"spurious singularity" in light-cone gauge theories are nothing but the
different guises of usual Mandelstam-Leibbrandt prescription.
|
[
{
"created": "Wed, 14 Aug 1996 02:24:22 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Park",
"D. K.",
""
]
] |
Recently suggested causal principal value and causal prescriptions for the "spurious singularity" in light-cone gauge theories are nothing but the different guises of usual Mandelstam-Leibbrandt prescription.
|
1701.01706
|
Ali Masoumi
|
Eleni-Alexandra Kontou, Jose J. Blanco-Pillado, Mark P. Hertzberg and
Ali Masoumi
|
Effects on the CMB from Compactification Before Inflation
|
21 pages, 5 Figures (references added)
|
JCAP 04 (2017) 034
|
10.1088/1475-7516/2017/04/034
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Many theories beyond the Standard Model include extra dimensions, though
these have yet to be directly observed. In this work we consider the
possibility of a compactification mechanism which both allows extra dimensions
and is compatible with current observations. This compactification is predicted
to leave a signature on the CMB by altering the amplitude of the low l
multipoles, dependent on the amount of inflation. Recently discovered CMB
anomalies at low multipoles may be evidence for this. In our model we assume
the spacetime is the product of a four-dimensional spacetime and flat extra
dimensions. Before the compactification, both the four-dimensional space- time
and the extra dimensions can either be expanding or contracting independently.
Taking into account physical constraints, we explore the observational
consequences and the plausibility of these different models.
|
[
{
"created": "Fri, 6 Jan 2017 17:40:05 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Apr 2017 19:10:39 GMT",
"version": "v2"
}
] |
2017-04-26
|
[
[
"Kontou",
"Eleni-Alexandra",
""
],
[
"Blanco-Pillado",
"Jose J.",
""
],
[
"Hertzberg",
"Mark P.",
""
],
[
"Masoumi",
"Ali",
""
]
] |
Many theories beyond the Standard Model include extra dimensions, though these have yet to be directly observed. In this work we consider the possibility of a compactification mechanism which both allows extra dimensions and is compatible with current observations. This compactification is predicted to leave a signature on the CMB by altering the amplitude of the low l multipoles, dependent on the amount of inflation. Recently discovered CMB anomalies at low multipoles may be evidence for this. In our model we assume the spacetime is the product of a four-dimensional spacetime and flat extra dimensions. Before the compactification, both the four-dimensional space- time and the extra dimensions can either be expanding or contracting independently. Taking into account physical constraints, we explore the observational consequences and the plausibility of these different models.
|
1201.5539
|
Dongmin Gang
|
Dongmin Gang, Eunkyung Koh and Kimyeong Lee
|
Line Operator Index on S1 $\times$ S3
|
55 pages, 5 figures. v2:references added, sec 5.2, 5.3 are added,
minor corrections
| null |
10.1007/JHEP05(2012)007
|
KIAS-P12009
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive a general formula of an index for N = 2 superconformal field
theories on S1 \times S3 with insertions of BPS Wilson line or 't Hooft line
operator at the north pole and their anti-counterpart at the south pole of S3.
One-loop and monopole bubbling effects are taken into account in the
computation. As examples, we calculate the indices for N = 4 theories and N = 2
SU(2) theory with Nf = 4, and find good agreements between indices of line
operators related by S-duality. The relation between Verlinde loop operators
and the indices is explored. The holographic correspondence between the
fundamental (anti-symmetric) Wilson line operator and the fundamental string
(D5 brane) in AdS5\timesS5 is confirmed by the index comparison.
|
[
{
"created": "Thu, 26 Jan 2012 14:44:17 GMT",
"version": "v1"
},
{
"created": "Sun, 26 Feb 2012 12:41:17 GMT",
"version": "v2"
}
] |
2015-06-03
|
[
[
"Gang",
"Dongmin",
""
],
[
"Koh",
"Eunkyung",
""
],
[
"Lee",
"Kimyeong",
""
]
] |
We derive a general formula of an index for N = 2 superconformal field theories on S1 \times S3 with insertions of BPS Wilson line or 't Hooft line operator at the north pole and their anti-counterpart at the south pole of S3. One-loop and monopole bubbling effects are taken into account in the computation. As examples, we calculate the indices for N = 4 theories and N = 2 SU(2) theory with Nf = 4, and find good agreements between indices of line operators related by S-duality. The relation between Verlinde loop operators and the indices is explored. The holographic correspondence between the fundamental (anti-symmetric) Wilson line operator and the fundamental string (D5 brane) in AdS5\timesS5 is confirmed by the index comparison.
|
2005.00151
|
Carlos Andres Escobar Ruiz
|
C. A. Escobar, Leonardo Medel and A. Mart\'in-Ruiz
|
Casimir effect in Lorentz-violating scalar field theory: a local
approach
|
13 pages, 2 figures, Accepted for publication in PRD
|
Phys. Rev. D 101, 095011 (2020)
|
10.1103/PhysRevD.101.095011
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the Casimir effect in the classical geometry of two parallel
conductive plates, separated by a distance $L$, for a Lorentz-breaking
extension of the scalar field theory. The Lorentz-violating part of the theory
is characterized by the term $\lambda \left( u \cdot \partial \phi \right
)^{2}$, where the parameter $\lambda$ and the background four-vector $u ^{\mu}$
codify Lorentz symmetry violation. We use Green's function techniques to study
the local behavior of the vacuum stress-energy tensor in the region between the
plates. Closed analytical expressions are obtained for the Casimir energy and
pressure. We show that the energy density $\mathcal{E}_{C}$ (and hence the
pressure) can be expressed in terms of the Lorentz-invariant energy density
$\mathcal{E}_{0}$ as follows \begin{align}
\mathcal{E}_{C} (L) = \sqrt{\frac{1-\lambda u_{n} ^{2}}{1 + \lambda u ^{2}}}
\mathcal{E}_{0} (\tilde{L}) , \notag \end{align} where $\tilde{L} = L /
\sqrt{1-\lambda u_{n} ^{2}}$ is a rescaled plate-to-plate separation and
$u_{n}$ is the component of $\vec{{u}}$ along the normal to the plates. As
usual, divergences of the local Casimir energy do not contribute to the
pressure.
|
[
{
"created": "Fri, 1 May 2020 00:12:15 GMT",
"version": "v1"
}
] |
2020-05-20
|
[
[
"Escobar",
"C. A.",
""
],
[
"Medel",
"Leonardo",
""
],
[
"Martín-Ruiz",
"A.",
""
]
] |
We study the Casimir effect in the classical geometry of two parallel conductive plates, separated by a distance $L$, for a Lorentz-breaking extension of the scalar field theory. The Lorentz-violating part of the theory is characterized by the term $\lambda \left( u \cdot \partial \phi \right )^{2}$, where the parameter $\lambda$ and the background four-vector $u ^{\mu}$ codify Lorentz symmetry violation. We use Green's function techniques to study the local behavior of the vacuum stress-energy tensor in the region between the plates. Closed analytical expressions are obtained for the Casimir energy and pressure. We show that the energy density $\mathcal{E}_{C}$ (and hence the pressure) can be expressed in terms of the Lorentz-invariant energy density $\mathcal{E}_{0}$ as follows \begin{align} \mathcal{E}_{C} (L) = \sqrt{\frac{1-\lambda u_{n} ^{2}}{1 + \lambda u ^{2}}} \mathcal{E}_{0} (\tilde{L}) , \notag \end{align} where $\tilde{L} = L / \sqrt{1-\lambda u_{n} ^{2}}$ is a rescaled plate-to-plate separation and $u_{n}$ is the component of $\vec{{u}}$ along the normal to the plates. As usual, divergences of the local Casimir energy do not contribute to the pressure.
|
1308.5569
|
Gim Seng Ng
|
Sophie de Buyl, Stephane Detournay, Gaston Giribet, Gim Seng Ng
|
Baby de Sitter Black Holes and dS$_3$/CFT$_2$
|
13 pages
| null |
10.1007/JHEP02(2014)020
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Unlike three-dimensional Einstein gravity, three-dimensional massive gravity
admits asymptotically de Sitter space (dS) black hole solutions. These black
holes present interesting features and provide us with toy models to study the
dS/CFT correspondence. A remarkable property of these black holes is that they
are always in thermal equilibrium with the cosmological horizon of the space
that hosts them. This invites us to study the thermodynamics of these solutions
within the context of dS/CFT. We study the asymptotic symmetry group of the
theory and find that it indeed coincides with the local two-dimensional
conformal algebra. The charge algebra associated to the asymptotic Killing
vectors consists of two copies of the Virasoro algebra with non-vanishing
central extension. We compute the mass and angular momentum of the dS black
holes and verify that a naive application of Cardy's formula exactly reproduces
the entropy of both the black hole and the cosmological horizon. By adapting
the holographic renormalization techniques to the case of dS space, we define
the boundary stress tensor of the dual Euclidean conformal field theory.
|
[
{
"created": "Mon, 26 Aug 2013 13:00:11 GMT",
"version": "v1"
}
] |
2015-06-17
|
[
[
"de Buyl",
"Sophie",
""
],
[
"Detournay",
"Stephane",
""
],
[
"Giribet",
"Gaston",
""
],
[
"Ng",
"Gim Seng",
""
]
] |
Unlike three-dimensional Einstein gravity, three-dimensional massive gravity admits asymptotically de Sitter space (dS) black hole solutions. These black holes present interesting features and provide us with toy models to study the dS/CFT correspondence. A remarkable property of these black holes is that they are always in thermal equilibrium with the cosmological horizon of the space that hosts them. This invites us to study the thermodynamics of these solutions within the context of dS/CFT. We study the asymptotic symmetry group of the theory and find that it indeed coincides with the local two-dimensional conformal algebra. The charge algebra associated to the asymptotic Killing vectors consists of two copies of the Virasoro algebra with non-vanishing central extension. We compute the mass and angular momentum of the dS black holes and verify that a naive application of Cardy's formula exactly reproduces the entropy of both the black hole and the cosmological horizon. By adapting the holographic renormalization techniques to the case of dS space, we define the boundary stress tensor of the dual Euclidean conformal field theory.
|
2304.08527
|
Yi Pang
|
Liang Ma, Yi Pang and H. Lu
|
Higher derivative contributions to black hole thermodynamics at NNLO
|
Latex, 40 pages with 17-page appendices, references added
|
JHEP06(2023)087
|
10.1007/JHEP06(2023)087
| null |
hep-th gr-qc
|
http://creativecommons.org/publicdomain/zero/1.0/
|
In an effective theory of gravity, thermodynamic quantities of black holes
receive corrections from the infinite series of higher derivative terms. At the
next to leading order, these can be obtained by using only the leading order
solution. In this paper, we push forward this property to the next to next to
leading order. We propose a formula which yields the Euclidean action of
asymptotically flat black holes at the next to next to leading order using only
the solution up to and including the next to leading order. Other conserved
quantities are derived from the Euclidean action via standard thermodynamic
relation. We verify our formula in examples of $D$-dimensional pure gravity and
Einstein-Maxwell theory extended by 4- and 6-derivative terms. Based on our
formula, we also prove that for asymptotically flat black holes, the physical
quantities are invariant under field redefinitions.
|
[
{
"created": "Mon, 17 Apr 2023 18:00:53 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Jun 2023 15:09:28 GMT",
"version": "v2"
}
] |
2023-06-27
|
[
[
"Ma",
"Liang",
""
],
[
"Pang",
"Yi",
""
],
[
"Lu",
"H.",
""
]
] |
In an effective theory of gravity, thermodynamic quantities of black holes receive corrections from the infinite series of higher derivative terms. At the next to leading order, these can be obtained by using only the leading order solution. In this paper, we push forward this property to the next to next to leading order. We propose a formula which yields the Euclidean action of asymptotically flat black holes at the next to next to leading order using only the solution up to and including the next to leading order. Other conserved quantities are derived from the Euclidean action via standard thermodynamic relation. We verify our formula in examples of $D$-dimensional pure gravity and Einstein-Maxwell theory extended by 4- and 6-derivative terms. Based on our formula, we also prove that for asymptotically flat black holes, the physical quantities are invariant under field redefinitions.
|
2307.13117
|
Yuqi Li
|
Yuqi Li, Hao-Yu Sun
|
Towards $\alpha'$-finiteness: $q$-deformed open string amplitude
| null | null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
Revisiting the Coon amplitude, a deformation of the Veneziano amplitude with
a logarithmic generalization of linear Regge trajectories, we scrutinize its
potential origins in a worldsheet theory by proposing a definition of its
$q$-deformation through the integral representation of the $q$-beta function.
By utilizing $q$-deformed commutation relations and vertex operators, we derive
the Coon amplitude within the framework of the dual resonance model. We extend
this to the open-string context by $q$-deforming the Lie algebra
$\mathfrak{su}(1,1)$, resulting in a well-defined $q$-deformed open superstring
amplitude. We further demonstrate that the $q$-prefactor in the Coon amplitude
arises naturally from the property of the $q$-integral. Furthermore, we find
that two different types of $q$-prefactors, corresponding to different
representations of the same scattering amplitude, are essentially the same by
leveraging the properties of $q$-numbers. Our findings indicate that the
$q$-deformed string amplitude defines a continuous family of amplitudes,
illustrating how string amplitudes with a finite $\alpha^\prime$ uniquely flow
to the amplitudes of scalar scattering in field theory at energy scale
$\Lambda$ as $q$ changes from $1$ to $0$. This happens without the requirement
of an $\alpha^\prime$ expansion, presenting a fresh perspective on the
connection between string and field theories.
|
[
{
"created": "Mon, 24 Jul 2023 20:11:38 GMT",
"version": "v1"
}
] |
2023-07-26
|
[
[
"Li",
"Yuqi",
""
],
[
"Sun",
"Hao-Yu",
""
]
] |
Revisiting the Coon amplitude, a deformation of the Veneziano amplitude with a logarithmic generalization of linear Regge trajectories, we scrutinize its potential origins in a worldsheet theory by proposing a definition of its $q$-deformation through the integral representation of the $q$-beta function. By utilizing $q$-deformed commutation relations and vertex operators, we derive the Coon amplitude within the framework of the dual resonance model. We extend this to the open-string context by $q$-deforming the Lie algebra $\mathfrak{su}(1,1)$, resulting in a well-defined $q$-deformed open superstring amplitude. We further demonstrate that the $q$-prefactor in the Coon amplitude arises naturally from the property of the $q$-integral. Furthermore, we find that two different types of $q$-prefactors, corresponding to different representations of the same scattering amplitude, are essentially the same by leveraging the properties of $q$-numbers. Our findings indicate that the $q$-deformed string amplitude defines a continuous family of amplitudes, illustrating how string amplitudes with a finite $\alpha^\prime$ uniquely flow to the amplitudes of scalar scattering in field theory at energy scale $\Lambda$ as $q$ changes from $1$ to $0$. This happens without the requirement of an $\alpha^\prime$ expansion, presenting a fresh perspective on the connection between string and field theories.
|
1411.5046
|
V. K. Sazonov
|
V. K. Sazonov
|
Non-hermitian bosonization
| null | null | null | null |
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A method for the bosonization of complex actions is presented. Together with
the convergent perturbation theory it provides a conceptually new way for
bypassing fermion sign problems.
|
[
{
"created": "Tue, 18 Nov 2014 21:35:57 GMT",
"version": "v1"
}
] |
2014-11-20
|
[
[
"Sazonov",
"V. K.",
""
]
] |
A method for the bosonization of complex actions is presented. Together with the convergent perturbation theory it provides a conceptually new way for bypassing fermion sign problems.
|
hep-th/0610036
|
Francisco Navarro-Lerida
|
Jutta Kunz and Francisco Navarro-Lerida
|
Negative Horizon Mass for Rotating Black Holes
|
17 pages, 16 figures
|
Phys.Lett.B643:55-63,2006
|
10.1016/j.physletb.2006.10.025
| null |
hep-th gr-qc
| null |
Charged rotating black holes of Einstein-Maxwell-Chern-Simons theory in odd
dimensions, $D \ge 5$, may possess a negative horizon mass, while their total
mass is positive. This surprising feature is related to the existence of
counterrotating solutions, where the horizon angular velocity $\Omega$ and the
angular momentum $J$ possess opposite signs. Black holes may further possess
vanishing horizon angular velocity while they have finite angular momentum, or
they may possess finite horizon angular velocity while their angular momentum
vanishes. In D=9 even non-static black holes with $\Omega=J=0$ appear. Charged
rotating black holes with vanishing gyromagnetic ratio exist, and black holes
need no longer be uniquely characterized by their global charges.
|
[
{
"created": "Mon, 2 Oct 2006 22:51:15 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Kunz",
"Jutta",
""
],
[
"Navarro-Lerida",
"Francisco",
""
]
] |
Charged rotating black holes of Einstein-Maxwell-Chern-Simons theory in odd dimensions, $D \ge 5$, may possess a negative horizon mass, while their total mass is positive. This surprising feature is related to the existence of counterrotating solutions, where the horizon angular velocity $\Omega$ and the angular momentum $J$ possess opposite signs. Black holes may further possess vanishing horizon angular velocity while they have finite angular momentum, or they may possess finite horizon angular velocity while their angular momentum vanishes. In D=9 even non-static black holes with $\Omega=J=0$ appear. Charged rotating black holes with vanishing gyromagnetic ratio exist, and black holes need no longer be uniquely characterized by their global charges.
|
hep-th/9909174
|
M. Perkins
|
P. Bowcock and M. Perkins
|
Aspects of classical backgrounds and scattering for affine Toda theory
on a half-line
|
23 pages, 1 figure
|
JHEP 0302 (2003) 016
|
10.1088/1126-6708/2003/02/016
|
DTP-98/51
|
hep-th
| null |
In this paper we study various aspects of classical solutions to the affine
Toda equations on a half-line with integrable boundary conditions. We begin by
finding conditions that the theory has a stable vacuum by finding a Bogomolny
bound on the energy, and analysing the possible singularities of the field at
the boundary. Using these constraints and extensive numerical investigations we
classify the vacuum configurations and reflection factors for A_r^(1) Toda
theories up to r=5.
|
[
{
"created": "Thu, 23 Sep 1999 20:03:26 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Bowcock",
"P.",
""
],
[
"Perkins",
"M.",
""
]
] |
In this paper we study various aspects of classical solutions to the affine Toda equations on a half-line with integrable boundary conditions. We begin by finding conditions that the theory has a stable vacuum by finding a Bogomolny bound on the energy, and analysing the possible singularities of the field at the boundary. Using these constraints and extensive numerical investigations we classify the vacuum configurations and reflection factors for A_r^(1) Toda theories up to r=5.
|
hep-th/0407051
|
Djordje Minic
|
Robert G. Leigh and Djordje Minic
|
Towards the QCD String: 2+1 dimensional Yang-Mills theory in the planar
limit
|
18 pages, LaTeX; discussion of QCD string expanded and references
added
| null | null |
ILL-(TH)-04-04, VPI-IPPAP-04-06
|
hep-th
| null |
We study the large N (planar) limit of pure SU(N) 2+1 dimensional Yang-Mills
theory (YM_{2+1}) using a gauge-invariant matrix parameterization introduced by
Karabali and Nair. This formulation crucially relies on the properties of local
holomorphic gauge invariant collective fields in the Hamiltonian formulation of
YM_{2+1}. We show that the spectrum in the planar limit of this theory can be
explicitly determined in the $N=\infty$, low momentum (large 't Hooft coupling)
limit, using the technology of the Eguchi-Kawai reduction and the existing
knowledge concerning the one-matrix model. The dispersion relation describing
the planar YM_{2+1} spectrum reads as $\omega(\vec{k}) = \sqrt{{\vec{k}}^2 +
m_n^2}$, where $n=1,2,...$ and $m_n = n m_r$, where $m_r$ denotes the
renormalized mass, the bare mass m being determined by the planar 't Hooft
coupling $g_{YM}^2 N$ via $m= \frac{g_{YM}^2 N}{2 \pi}$. The planar, low
momentum limit, also captures the expected short and long distance physics of
YM_{2+1} and gives an interesting new picture of confinement. The computation
of the spectrum is possible due to a reduction of the YM_{2+1} Hamiltonian for
the large 't Hooft coupling to the {\it singlet} sector of an effective one
matrix model. The crucial observation is that the correct vacuum (the large N
master field), consistent with the area law and the existence of a mass gap, is
described by an effective quadratic matrix model, in the large N, large 't
Hooft coupling limit.
|
[
{
"created": "Wed, 7 Jul 2004 16:54:27 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Aug 2004 16:11:55 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Leigh",
"Robert G.",
""
],
[
"Minic",
"Djordje",
""
]
] |
We study the large N (planar) limit of pure SU(N) 2+1 dimensional Yang-Mills theory (YM_{2+1}) using a gauge-invariant matrix parameterization introduced by Karabali and Nair. This formulation crucially relies on the properties of local holomorphic gauge invariant collective fields in the Hamiltonian formulation of YM_{2+1}. We show that the spectrum in the planar limit of this theory can be explicitly determined in the $N=\infty$, low momentum (large 't Hooft coupling) limit, using the technology of the Eguchi-Kawai reduction and the existing knowledge concerning the one-matrix model. The dispersion relation describing the planar YM_{2+1} spectrum reads as $\omega(\vec{k}) = \sqrt{{\vec{k}}^2 + m_n^2}$, where $n=1,2,...$ and $m_n = n m_r$, where $m_r$ denotes the renormalized mass, the bare mass m being determined by the planar 't Hooft coupling $g_{YM}^2 N$ via $m= \frac{g_{YM}^2 N}{2 \pi}$. The planar, low momentum limit, also captures the expected short and long distance physics of YM_{2+1} and gives an interesting new picture of confinement. The computation of the spectrum is possible due to a reduction of the YM_{2+1} Hamiltonian for the large 't Hooft coupling to the {\it singlet} sector of an effective one matrix model. The crucial observation is that the correct vacuum (the large N master field), consistent with the area law and the existence of a mass gap, is described by an effective quadratic matrix model, in the large N, large 't Hooft coupling limit.
|
hep-th/0108242
|
Ricardo Renan Landim
|
R. R. Landim
|
Field redefinitions and massive BF models in arbitrary space-time
dimensions
|
Dedicated to the memory of my father Added some references and
corrected typos
|
Phys.Lett. B542 (2002) 160-164
|
10.1016/S0370-2693(02)02340-7
| null |
hep-th
| null |
We show that the topological massive BF theories can be written as a pure BF
term through field redefinitions. The fields are rewritten as power expansion
series in the inverse of the mass parameter $m$. We also give a cohomological
justification of this expansion through BRST framework. In this approach the BF
term can be seen as a topological generator for massive BF theories.
|
[
{
"created": "Fri, 31 Aug 2001 20:07:37 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Oct 2001 01:23:42 GMT",
"version": "v2"
},
{
"created": "Mon, 13 May 2002 12:34:31 GMT",
"version": "v3"
}
] |
2015-06-26
|
[
[
"Landim",
"R. R.",
""
]
] |
We show that the topological massive BF theories can be written as a pure BF term through field redefinitions. The fields are rewritten as power expansion series in the inverse of the mass parameter $m$. We also give a cohomological justification of this expansion through BRST framework. In this approach the BF term can be seen as a topological generator for massive BF theories.
|
1811.04949
|
Nils Kanning
|
Nils Kanning and Matthias Staudacher
|
Grassmannian Integrals in Minkowski Signature, Amplitudes, and
Integrability
|
44 pages, 2 figures; v2: published version, minor changes
|
JHEP 04 (2019) 070
|
10.1007/JHEP04(2019)070
|
HU-MATH-2018-10, HU-EP-18/32, LMU-ASC 72/18
|
hep-th math-ph math.MP nlin.SI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We attempt to systematically derive tree-level scattering amplitudes in
four-dimensional, planar, maximally supersymmetric Yang-Mills theory from
integrability. We first review the connections between integrable spin chains,
Yangian invariance, and the construction of such invariants in terms of
Grassmannian contour integrals. Building upon these results, we equip a class
of Grassmannian integrals for general symmetry algebras with unitary
integration contours. These contours emerge naturally by paying special
attention to the proper reality conditions of the algebras. Specializing to
psu(2,2|4) and thus to maximal superconformal symmetry in Minkowski space, we
find in a number of examples expressions similar to, but subtly different from
the perturbative physical scattering amplitudes. Our results suggest a subtle
breaking of Yangian invariance for the latter, with curious implications for
their construction from integrability.
|
[
{
"created": "Mon, 12 Nov 2018 19:00:04 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Apr 2019 10:07:43 GMT",
"version": "v2"
}
] |
2019-04-15
|
[
[
"Kanning",
"Nils",
""
],
[
"Staudacher",
"Matthias",
""
]
] |
We attempt to systematically derive tree-level scattering amplitudes in four-dimensional, planar, maximally supersymmetric Yang-Mills theory from integrability. We first review the connections between integrable spin chains, Yangian invariance, and the construction of such invariants in terms of Grassmannian contour integrals. Building upon these results, we equip a class of Grassmannian integrals for general symmetry algebras with unitary integration contours. These contours emerge naturally by paying special attention to the proper reality conditions of the algebras. Specializing to psu(2,2|4) and thus to maximal superconformal symmetry in Minkowski space, we find in a number of examples expressions similar to, but subtly different from the perturbative physical scattering amplitudes. Our results suggest a subtle breaking of Yangian invariance for the latter, with curious implications for their construction from integrability.
|
1911.08786
|
Ankur Srivastav
|
Ankur Srivastav, Debabrata Ghorai, Sunandan Gangopadhyay
|
$p$-wave holographic superconductors with massive vector condensate in
Born-Infeld electrodynamics
|
19 pages
|
Eur. Phys. J. C 80, 219 (2020)
|
10.1140/epjc/s10052-020-7769-1
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we have studied the effect of Born-Infeld electrodynamics in
holographic $p$-wave superconductors with massive vector condensation. We have
analysed this model in the probe limit using a variational method known as the
St\"urm-Liouville eigenvalue approach. For this $p$-wave holographic
superconductor model, we have calculated the critical temperature $T_{c}$ as
well as the value of the condensation operator for two different choices of
$m^{2}$. We have also pointed out the similarities and dissimilarities between
this model for $m^{2} = 0$ and $p$-wave holographic superconductor model
constructed out of Einstein-Yang-Mills theory. We have then computed the
conductivity of these holographic superconductor models using a self-consistent
approach and have shown that the DC conductivity diverges.
|
[
{
"created": "Wed, 20 Nov 2019 09:31:44 GMT",
"version": "v1"
}
] |
2020-03-31
|
[
[
"Srivastav",
"Ankur",
""
],
[
"Ghorai",
"Debabrata",
""
],
[
"Gangopadhyay",
"Sunandan",
""
]
] |
In this paper, we have studied the effect of Born-Infeld electrodynamics in holographic $p$-wave superconductors with massive vector condensation. We have analysed this model in the probe limit using a variational method known as the St\"urm-Liouville eigenvalue approach. For this $p$-wave holographic superconductor model, we have calculated the critical temperature $T_{c}$ as well as the value of the condensation operator for two different choices of $m^{2}$. We have also pointed out the similarities and dissimilarities between this model for $m^{2} = 0$ and $p$-wave holographic superconductor model constructed out of Einstein-Yang-Mills theory. We have then computed the conductivity of these holographic superconductor models using a self-consistent approach and have shown that the DC conductivity diverges.
|
1708.05016
|
Michael Zlotnikov
|
Michael Zlotnikov
|
Leading multi-soft limits from scattering equations
|
27 pages, 1 paragraph changed
|
J. High Energ. Phys. (2017) 2017: 209
|
10.1007/JHEP10(2017)209
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A Cachazo-He-Yuan (CHY) type formula is derived for the leading gluon,
bi-adjoint scalar $\phi^3$, Yang-Mills-scalar and non-linear sigma model
$m$-soft factors $S_m$ in arbitrary dimension. The general formula is used to
evaluate explicit examples for up to three soft legs analytically and up to
four soft legs numerically via comparison with amplitude ratios under soft
kinematics. A structural pattern for gluon $m$-soft factor is inferred and a
simpler formula for its calculation is conjectured. In four dimensions, a
Cachazo-Svr\v{c}ek-Witten (CSW) recursive procedure producing the leading
$m$-soft gluon factor in spinor helicity formalism is developed as an
alternative, and Britto-Cachazo-Feng-Witten (BCFW) recursion is used to obtain
the leading four-soft gluon factor for all analytically distinct helicity
configurations.
|
[
{
"created": "Wed, 16 Aug 2017 18:00:14 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Nov 2017 20:22:18 GMT",
"version": "v2"
},
{
"created": "Sat, 28 Apr 2018 00:05:15 GMT",
"version": "v3"
}
] |
2018-05-01
|
[
[
"Zlotnikov",
"Michael",
""
]
] |
A Cachazo-He-Yuan (CHY) type formula is derived for the leading gluon, bi-adjoint scalar $\phi^3$, Yang-Mills-scalar and non-linear sigma model $m$-soft factors $S_m$ in arbitrary dimension. The general formula is used to evaluate explicit examples for up to three soft legs analytically and up to four soft legs numerically via comparison with amplitude ratios under soft kinematics. A structural pattern for gluon $m$-soft factor is inferred and a simpler formula for its calculation is conjectured. In four dimensions, a Cachazo-Svr\v{c}ek-Witten (CSW) recursive procedure producing the leading $m$-soft gluon factor in spinor helicity formalism is developed as an alternative, and Britto-Cachazo-Feng-Witten (BCFW) recursion is used to obtain the leading four-soft gluon factor for all analytically distinct helicity configurations.
|
hep-th/0204163
|
Dantao Peng
|
Bo-Yu Hou, Dan-Tao Peng, Kang-Jie Shi, Rui-Hong Yue
|
Solitons on Noncommutative Torus as Elliptic Calogero Gaudin Models,
Branes and Laughlin Wave Functions
|
25 pages, plain latex, no figures
|
Int.J.Mod.Phys. A18 (2003) 2477-2500
|
10.1142/S0217751X03014228
| null |
hep-th
| null |
For the noncommutative torus ${\cal T}$, in case of the N.C. parameter
$\theta = \frac{Z}{n}$, we construct the basis of Hilbert space ${\ca$H}_n$ in
terms of $\theta$ functions of the positions $z_i$ of $n$ solitons. The
wrapping around the torus generates the algebra ${\cal A}_n$, which is the $Z_n
\times Z_n$ Heisenberg group on $\theta$ functions. We find the generators $g$
of an local elliptic $su(n)$, w$transform covariantly by the global gauge
transformation of ${\cal A}$By acting on ${\cal H}_n$ we establish the
isomorphism of ${\cal A}_n$$g$. We embed this $g$ into the $L$-matrix of the
elliptic Gaudin and$models to give the dynamics. The moment map of this twisted
cotangent $su_n({\cal T})$ bundle is matched to the $D$-equation with
Fayet-Illiopoulos source term, so the dynamics of the N.C. solitons becomes
that of the brane. The geometric configuration $(k, u)$ of th$spectral curve
${\rm det}|L(u) - k| = 0$ describes the brane configuration, with the dynamical
variables $z_i$ of N.C. solitons as$moduli $T^{\otimes n} / S_n$. Furthermore,
in the N.C. Chern-Simons theory for the quantum Hall effect, the constrain
equation with quasiparticle source is identified also with the moment map
eqaution $the N.C. $su_n({\cal T})$ cotangent bundle with marked points. The
eigenfunction of the Gaudin differential $L$-operators as the
Laughli$wavefunction is solved by Bethe ansatz.
|
[
{
"created": "Fri, 19 Apr 2002 08:19:29 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Hou",
"Bo-Yu",
""
],
[
"Peng",
"Dan-Tao",
""
],
[
"Shi",
"Kang-Jie",
""
],
[
"Yue",
"Rui-Hong",
""
]
] |
For the noncommutative torus ${\cal T}$, in case of the N.C. parameter $\theta = \frac{Z}{n}$, we construct the basis of Hilbert space ${\ca$H}_n$ in terms of $\theta$ functions of the positions $z_i$ of $n$ solitons. The wrapping around the torus generates the algebra ${\cal A}_n$, which is the $Z_n \times Z_n$ Heisenberg group on $\theta$ functions. We find the generators $g$ of an local elliptic $su(n)$, w$transform covariantly by the global gauge transformation of ${\cal A}$By acting on ${\cal H}_n$ we establish the isomorphism of ${\cal A}_n$$g$. We embed this $g$ into the $L$-matrix of the elliptic Gaudin and$models to give the dynamics. The moment map of this twisted cotangent $su_n({\cal T})$ bundle is matched to the $D$-equation with Fayet-Illiopoulos source term, so the dynamics of the N.C. solitons becomes that of the brane. The geometric configuration $(k, u)$ of th$spectral curve ${\rm det}|L(u) - k| = 0$ describes the brane configuration, with the dynamical variables $z_i$ of N.C. solitons as$moduli $T^{\otimes n} / S_n$. Furthermore, in the N.C. Chern-Simons theory for the quantum Hall effect, the constrain equation with quasiparticle source is identified also with the moment map eqaution $the N.C. $su_n({\cal T})$ cotangent bundle with marked points. The eigenfunction of the Gaudin differential $L$-operators as the Laughli$wavefunction is solved by Bethe ansatz.
|
2101.10709
|
George Papadopoulos
|
G. Papadopoulos and and E. P\'erez-Bola\~nos
|
Symmetries, Spinning Particles and the TCFH of D=4,5 Minimal
Supergravities
|
12 pages
| null |
10.1016/j.physletb.2021.136441
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We find that spinning particles with suitable couplings propagating in
certain supersymmetric backgrounds of $D=4$, $N=2$ and $D=5$, $N=1$ minimal
supergravities are invariant under symmetries generated by the twisted
covariant form hierarchies of these theories. We also compare our results with
the symmetries of spinning particles generated by Killing-Yano forms which are
responsible for the separability properties of some gravitational backgrounds.
|
[
{
"created": "Tue, 26 Jan 2021 11:11:12 GMT",
"version": "v1"
}
] |
2021-06-16
|
[
[
"Papadopoulos",
"G.",
""
],
[
"Pérez-Bolaños",
"and E.",
""
]
] |
We find that spinning particles with suitable couplings propagating in certain supersymmetric backgrounds of $D=4$, $N=2$ and $D=5$, $N=1$ minimal supergravities are invariant under symmetries generated by the twisted covariant form hierarchies of these theories. We also compare our results with the symmetries of spinning particles generated by Killing-Yano forms which are responsible for the separability properties of some gravitational backgrounds.
|
hep-th/9609036
|
Joachim Maeder
|
S. Balaska, J. Maeder, W. Ruehl
|
Perturbative approach to the critical behaviour of two-matrix models in
the limit N -> infinity
|
23 pages, LateX
|
Nucl.Phys. B486 (1997) 673-695
|
10.1016/S0550-3213(96)00662-1
| null |
hep-th
| null |
We construct representations of the Heisenberg algebra by pushing the
perturbation expansion to high orders. If the multiplication operators
$B_{1,2}$ tend to differential operators of order $l_{2,1}$, respectively, the
singularity is characterized by $(l _{1},l_{2})$. Let $l_{1} \geq l_{2}$. Then
the two cases A : ``$l_{2}$ does not divide $l_{1}$'' and B : ``$l_{2}$ divides
$l_{1}$'' need a different treatment. The universality classes are labelled
$[p,q]$ where $[p,q]$=[$l_{1}$,$l_{2}$] in case A and
$[p,q]$=[$l_{1}+1$,$l_{2}$] in case B.
|
[
{
"created": "Tue, 3 Sep 1996 14:29:13 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Balaska",
"S.",
""
],
[
"Maeder",
"J.",
""
],
[
"Ruehl",
"W.",
""
]
] |
We construct representations of the Heisenberg algebra by pushing the perturbation expansion to high orders. If the multiplication operators $B_{1,2}$ tend to differential operators of order $l_{2,1}$, respectively, the singularity is characterized by $(l _{1},l_{2})$. Let $l_{1} \geq l_{2}$. Then the two cases A : ``$l_{2}$ does not divide $l_{1}$'' and B : ``$l_{2}$ divides $l_{1}$'' need a different treatment. The universality classes are labelled $[p,q]$ where $[p,q]$=[$l_{1}$,$l_{2}$] in case A and $[p,q]$=[$l_{1}+1$,$l_{2}$] in case B.
|
1810.00917
|
Prabal Adhikari
|
Prabal Adhikari, Jaehong Choi
|
Magnetic Vortices in the Abelian Higgs Model with Derivative
Interactions
|
14 pages, 4 figures
| null |
10.1142/S0217751X18502159
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the properties of a single magnetic vortex and magnetic vortex
lattices in a generalization of the Abelian Higgs model containing the simplest
derivative interaction that preserves the $U(1)$ gauge symmetry of the original
model. The paper is motivated by the study of finite isospin chiral
perturbation theory in a uniform, external : since pions are Goldstone bosons
of QCD (due to chiral symmetry breaking by the QCD vacuum), they interact
through momentum dependent terms. We introduce a uniform external magnetic
field and find the asymptotic properties of single vortex solutions and compare
them to the well-known solutions of the standard Abelian Higgs Model.
Furthermore, we study the vortex lattice solutions near the upper critical
field using the method of successive approximations, which was originally used
by Abrikosov in his seminal paper on type-II superconductors. We find the
vortex lattice structure, which remains hexagonal as in the standard Abelian
Higgs model, and condensation energy of the vortex lattices relative to the
normal vacuum (in a uniform magnetic field).
|
[
{
"created": "Mon, 1 Oct 2018 18:41:05 GMT",
"version": "v1"
}
] |
2019-01-17
|
[
[
"Adhikari",
"Prabal",
""
],
[
"Choi",
"Jaehong",
""
]
] |
We study the properties of a single magnetic vortex and magnetic vortex lattices in a generalization of the Abelian Higgs model containing the simplest derivative interaction that preserves the $U(1)$ gauge symmetry of the original model. The paper is motivated by the study of finite isospin chiral perturbation theory in a uniform, external : since pions are Goldstone bosons of QCD (due to chiral symmetry breaking by the QCD vacuum), they interact through momentum dependent terms. We introduce a uniform external magnetic field and find the asymptotic properties of single vortex solutions and compare them to the well-known solutions of the standard Abelian Higgs Model. Furthermore, we study the vortex lattice solutions near the upper critical field using the method of successive approximations, which was originally used by Abrikosov in his seminal paper on type-II superconductors. We find the vortex lattice structure, which remains hexagonal as in the standard Abelian Higgs model, and condensation energy of the vortex lattices relative to the normal vacuum (in a uniform magnetic field).
|
hep-th/9512150
|
Robert Becker
|
Victor Kac (MIT), Andrey Radul (Howard University)
|
Representation theory of the vertex algebra $W_{1 + \infty}$
|
26 pages, AMS-TeX, all macros included
| null | null | null |
hep-th
| null |
In our paper~\cite{KR} we began a systematic study of representations of the
universal central extension $\widehat{\Cal D}\/$ of the Lie algebra of
differential operators on the circle. This study was continued in the
paper~\cite{FKRW} in the framework of vertex algebra theory. It was shown that
the associated to $\widehat {\Cal D}\/$ simple vertex algebra $W_{1+ \infty,
N}\/$ with positive integral central charge $N\/$ is isomorphic to the
classical vertex algebra $W (gl_N)$, which led to a classification of modules
over $W_{1 + \infty, N}$. In the present paper we study the remaining
non-trivial case, that of a negative central charge $-N$. The basic tool is the
decomposition of $N\/$ pairs of free charged bosons with respect to $gl_N\/$
and the commuting with $gl_N\/$ Lie algebra of infinite matrices
$\widehat{gl}$.
|
[
{
"created": "Mon, 18 Dec 1995 21:13:03 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Kac",
"Victor",
"",
"MIT"
],
[
"Radul",
"Andrey",
"",
"Howard University"
]
] |
In our paper~\cite{KR} we began a systematic study of representations of the universal central extension $\widehat{\Cal D}\/$ of the Lie algebra of differential operators on the circle. This study was continued in the paper~\cite{FKRW} in the framework of vertex algebra theory. It was shown that the associated to $\widehat {\Cal D}\/$ simple vertex algebra $W_{1+ \infty, N}\/$ with positive integral central charge $N\/$ is isomorphic to the classical vertex algebra $W (gl_N)$, which led to a classification of modules over $W_{1 + \infty, N}$. In the present paper we study the remaining non-trivial case, that of a negative central charge $-N$. The basic tool is the decomposition of $N\/$ pairs of free charged bosons with respect to $gl_N\/$ and the commuting with $gl_N\/$ Lie algebra of infinite matrices $\widehat{gl}$.
|
hep-th/0603087
|
Axel Maas
|
Axel Maas
|
On the Faddeev-Popov operator eigenspectrum in topological background
fields
|
6 pages, 2 figures, talk presented at the I Latin American Workshop
on High Energy Phenomenology, Porto Alegre, Brazil, 1st-3rd of December 2005;
submitted to the proceedings
|
Braz.J.Phys.37:514-519,2007
|
10.1590/S0103-97332007000400007
| null |
hep-th
| null |
During the last years significant progress has been made in the understanding
of the confinement of quarks and gluons. However, this progress has been made
in two directions, which are at first sight very different. On the one hand,
topological configurations seem to play an important role in the formation of
the static quark-anti-quark potential. On the other hand, when studying Green's
functions, the Faddeev-Popov operator seems to be of importance, especially its
spectrum near zero.
To investigate whether a connection between both aspects exist, the
eigenspectrum of the Faddeev-Popov operator in an instanton and a center-vortex
background field are determined analytically in the continuum. It is found that
both configurations give rise to additional zero-modes. This agrees with
corresponding studies of vortices in lattice gauge theory. In the vortex case
also one necessary condition for the confinement of color is fulfilled. Some
possible consequences of the results will be discussed, and also a few remarks
on monopoles will be given.
|
[
{
"created": "Fri, 10 Mar 2006 18:27:10 GMT",
"version": "v1"
}
] |
2011-08-04
|
[
[
"Maas",
"Axel",
""
]
] |
During the last years significant progress has been made in the understanding of the confinement of quarks and gluons. However, this progress has been made in two directions, which are at first sight very different. On the one hand, topological configurations seem to play an important role in the formation of the static quark-anti-quark potential. On the other hand, when studying Green's functions, the Faddeev-Popov operator seems to be of importance, especially its spectrum near zero. To investigate whether a connection between both aspects exist, the eigenspectrum of the Faddeev-Popov operator in an instanton and a center-vortex background field are determined analytically in the continuum. It is found that both configurations give rise to additional zero-modes. This agrees with corresponding studies of vortices in lattice gauge theory. In the vortex case also one necessary condition for the confinement of color is fulfilled. Some possible consequences of the results will be discussed, and also a few remarks on monopoles will be given.
|
hep-th/9708144
|
De-Horng Lin
|
De-Hone Lin
|
Path Integral for Relativistic Three-Dimensional Spinless
Aharonov-Bohm-Coulomb System
|
15 pages, Standard LaTex, one reference added, some descriptions are
presented in more accuracy
| null | null | null |
hep-th
| null |
The path integral for relativistic three-dimensional spinless
Aharonov-Bohm-Coulomb system is solved, and the energy spectra are extracted
from the resulting amplitude.
|
[
{
"created": "Wed, 27 Aug 1997 14:03:53 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Sep 1997 13:04:01 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Lin",
"De-Hone",
""
]
] |
The path integral for relativistic three-dimensional spinless Aharonov-Bohm-Coulomb system is solved, and the energy spectra are extracted from the resulting amplitude.
|
hep-th/9306098
|
Shogo Tanimura
|
Shogo Tanimura
|
Gauge Field, Parity and Uncertainty Relation of Quantum Mechanics on S^1
|
29 pages
|
Prog.Theor.Phys. 90 (1993) 271-292
|
10.1143/ptp/90.2.271
| null |
hep-th
| null |
We consider the uncertainty relation between position and momentum of a
particle on $ S^1 $ (a circle). Since $ S^1 $ is compact, the uncertainty of
position must be bounded. Consideration on the uncertainty of position demands
delicate treatment. Recently Ohnuki and Kitakado have formulated quantum
mechanics on $ S^D $ (a $D$-dimensional sphere). Armed with their formulation,
we examine this subject. We also consider parity and find a phenomenon similar
to the spontaneous symmetry breaking. We discuss problems which we encounter
when we attempt to formulate quantum mechanics on a general manifold.
|
[
{
"created": "Mon, 21 Jun 1993 06:28:11 GMT",
"version": "v1"
}
] |
2017-02-01
|
[
[
"Tanimura",
"Shogo",
""
]
] |
We consider the uncertainty relation between position and momentum of a particle on $ S^1 $ (a circle). Since $ S^1 $ is compact, the uncertainty of position must be bounded. Consideration on the uncertainty of position demands delicate treatment. Recently Ohnuki and Kitakado have formulated quantum mechanics on $ S^D $ (a $D$-dimensional sphere). Armed with their formulation, we examine this subject. We also consider parity and find a phenomenon similar to the spontaneous symmetry breaking. We discuss problems which we encounter when we attempt to formulate quantum mechanics on a general manifold.
|
1512.05541
|
Tapobrata Sarkar
|
Reevu Maity, Pratim Roy, Tapobrata Sarkar
|
Black Hole Phase Transitions and the Chemical Potential
|
1 + 14 Pages, LaTeX, 6 .eps figures
| null |
10.1016/j.physletb.2016.12.004
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the context of extended phase space thermodynamics and the AdS-CFT
correspondence, we consider the chemical potential ($\mu$) dual to the number
of colours ($N$) of the boundary gauge theory, in the grand canonical ensemble.
By appropriately defining $\mu$ via densities of thermodynamic quantities, we
show that it changes sign precisely at the Hawking-Page transition for
AdS-Schwarzschild and RN-AdS black holes in five dimensions, signalling the
onset of quantum effects at the transition point. Such behaviour is absent for
non-rotating black holes in four dimensions. For Kerr-AdS black holes in four
and five dimensions, our analysis points to the fact that $\mu$ can change sign
in the stable black hole region, i.e above the Hawking-Page transition
temperature, for a range of angular frequencies. We also analyse AdS black
holes in five dimensional Gauss-Bonnet gravity, and find similar features for
$\mu$ as in the Kerr-AdS case.
|
[
{
"created": "Thu, 17 Dec 2015 11:28:18 GMT",
"version": "v1"
}
] |
2017-01-04
|
[
[
"Maity",
"Reevu",
""
],
[
"Roy",
"Pratim",
""
],
[
"Sarkar",
"Tapobrata",
""
]
] |
In the context of extended phase space thermodynamics and the AdS-CFT correspondence, we consider the chemical potential ($\mu$) dual to the number of colours ($N$) of the boundary gauge theory, in the grand canonical ensemble. By appropriately defining $\mu$ via densities of thermodynamic quantities, we show that it changes sign precisely at the Hawking-Page transition for AdS-Schwarzschild and RN-AdS black holes in five dimensions, signalling the onset of quantum effects at the transition point. Such behaviour is absent for non-rotating black holes in four dimensions. For Kerr-AdS black holes in four and five dimensions, our analysis points to the fact that $\mu$ can change sign in the stable black hole region, i.e above the Hawking-Page transition temperature, for a range of angular frequencies. We also analyse AdS black holes in five dimensional Gauss-Bonnet gravity, and find similar features for $\mu$ as in the Kerr-AdS case.
|
hep-th/0005256
|
Manvelyan Ruben
|
R. Manvelyan, A. C. Petkou
|
The trace anomaly of the (2,0) tensor multiplet in background gauge
fields
|
12 pages, LaTeX
|
JHEP 0006 (2000) 003
|
10.1088/1126-6708/2000/06/003
|
KL-TH 00/05
|
hep-th
| null |
We study the trace anomaly of the (2,0) tensor multiplet in d=6 in the
presence of a background SO(5) vector field acting as a source for the
R-current. Using both a free-field theory calculation and AdS_7/CFT_6
correspondence, we find that only one of the two possible anomaly structures is
non-zero and that its coefficient at strong-coupling differs by the well-known
overall factor 4N^3 from the corresponding weak coupling result. We also
discuss the relevance of our result to studies of the R-current anomaly in the
(2,0) multiplet.
|
[
{
"created": "Fri, 26 May 2000 18:04:26 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Manvelyan",
"R.",
""
],
[
"Petkou",
"A. C.",
""
]
] |
We study the trace anomaly of the (2,0) tensor multiplet in d=6 in the presence of a background SO(5) vector field acting as a source for the R-current. Using both a free-field theory calculation and AdS_7/CFT_6 correspondence, we find that only one of the two possible anomaly structures is non-zero and that its coefficient at strong-coupling differs by the well-known overall factor 4N^3 from the corresponding weak coupling result. We also discuss the relevance of our result to studies of the R-current anomaly in the (2,0) multiplet.
|
hep-th/0109222
|
Victor O. Rivelles
|
H. O. Girotti, M. Gomes, A. Yu. Petrov, V. O. Rivelles and A. J. da
Silva
|
The Three-Dimensional Noncommutative Nonlinear Sigma Model in Superspace
|
16 pages, 5 figures, Revtex
|
Phys.Lett. B521 (2001) 119-126
|
10.1016/S0370-2693(01)01177-7
| null |
hep-th
| null |
We study the superspace formulation of the noncommutative nonlinear
supersymmetric O(N) invariant sigma-model in 2+1 dimensions. We prove that the
model is renormalizable to all orders of 1/N and explicitly verify that the
model is asymptotically free.
|
[
{
"created": "Fri, 28 Sep 2001 18:01:49 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Girotti",
"H. O.",
""
],
[
"Gomes",
"M.",
""
],
[
"Petrov",
"A. Yu.",
""
],
[
"Rivelles",
"V. O.",
""
],
[
"da Silva",
"A. J.",
""
]
] |
We study the superspace formulation of the noncommutative nonlinear supersymmetric O(N) invariant sigma-model in 2+1 dimensions. We prove that the model is renormalizable to all orders of 1/N and explicitly verify that the model is asymptotically free.
|
hep-th/9708092
|
Zhdanov
|
R. Z. Zhdanov
|
On algebraic classification of quasi-exactly solvable matrix models
|
LaTeX-file, 16 pages, submitted to J.Phys.A: Math.Gen
|
J.Phys.A30:8761-8770,1997
|
10.1088/0305-4470/30/24/034
| null |
hep-th
| null |
We suggest a generalization of the Lie algebraic approach for constructing
quasi-exactly solvable one-dimensional Schroedinger equations which is due to
Shifman and Turbiner in order to include into consideration matrix models. This
generalization is based on representations of Lie algebras by first-order
matrix differential operators. We have classified inequivalent representations
of the Lie algebras of the dimension up to three by first-order matrix
differential operators in one variable. Next we describe invariant
finite-dimensional subspaces of the representation spaces of the one-,
two-dimensional Lie algebras and of the algebra sl(2,R). These results enable
constructing multi-parameter families of first- and second-order quasi-exactly
solvable models. In particular, we have obtained two classes of quasi-exactly
solvable matrix Schroedinger equations.
|
[
{
"created": "Sun, 17 Aug 1997 08:40:27 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Zhdanov",
"R. Z.",
""
]
] |
We suggest a generalization of the Lie algebraic approach for constructing quasi-exactly solvable one-dimensional Schroedinger equations which is due to Shifman and Turbiner in order to include into consideration matrix models. This generalization is based on representations of Lie algebras by first-order matrix differential operators. We have classified inequivalent representations of the Lie algebras of the dimension up to three by first-order matrix differential operators in one variable. Next we describe invariant finite-dimensional subspaces of the representation spaces of the one-, two-dimensional Lie algebras and of the algebra sl(2,R). These results enable constructing multi-parameter families of first- and second-order quasi-exactly solvable models. In particular, we have obtained two classes of quasi-exactly solvable matrix Schroedinger equations.
|
hep-th/9909178
|
M. C. Dafon Barrozo
|
M. C. Daflon Barrozo (DAMTP, University of Cambridge)
|
Map of Heterotic and Type IIB Moduli in 8 Dimensions
|
37 pages, 14 figures, Latex; added references for the introduction;
typos added
|
Nucl.Phys.B574:189-218,2000
|
10.1016/S0550-3213(99)00804-4
|
DAMTP-1999-130
|
hep-th
| null |
Explicit relations among moduli of the Heterotic and Type IIB string theories
in 8 dimensions are obtained. We identify the BPS states responsible for gauge
enhancements in the type IIB theory and their dual partners in the Heterotic
theory compactified with and without Wilson lines. The masses of BPS states in
Type IIB string theory compactified on the base space of a elliptically fibred
K3 are computed explicitly for the special cases in which the complex structure
of the fibre is constant, ie, for constant scalar fields backgrounds.
|
[
{
"created": "Fri, 24 Sep 1999 16:54:51 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Oct 1999 14:35:24 GMT",
"version": "v2"
}
] |
2010-11-19
|
[
[
"Barrozo",
"M. C. Daflon",
"",
"DAMTP, University of Cambridge"
]
] |
Explicit relations among moduli of the Heterotic and Type IIB string theories in 8 dimensions are obtained. We identify the BPS states responsible for gauge enhancements in the type IIB theory and their dual partners in the Heterotic theory compactified with and without Wilson lines. The masses of BPS states in Type IIB string theory compactified on the base space of a elliptically fibred K3 are computed explicitly for the special cases in which the complex structure of the fibre is constant, ie, for constant scalar fields backgrounds.
|
hep-th/9307056
|
Michael Terhoeven
|
Michael Terhoeven
|
Dilogarithm identities, fusion rules and structure constants of CFTs
|
11 pages
|
Mod.Phys.Lett. A9 (1994) 133-142
|
10.1142/S0217732394000149
|
BONN-HE-93-24
|
hep-th math.CA math.QA
| null |
Recently dilogarithm identities have made their appearance in the physics
literature. These identities seem to allow to calculate structure constants
like, in particular, the effective central charge of certain conformal field
theories from their fusion rules. In Nahm, Recknagel, Terhoeven (1992) a proof
of identities of this type was given by considering the asymptotics of
character functions in the so-called Rogers-Ramanujan sum form and comparing
with the asymptotics predicted by modular covariance. Refining the argument, we
obtain {\it the general connection of quantum dimensions of certain conformal
field theories to the arguments of the dilogarithm function} in the identities
in question and {\it an infinite set of consistency conditions on the
parameters of Rogers-Ramanujan type partitions for them to be modular
covariant}.
|
[
{
"created": "Thu, 8 Jul 1993 15:51:40 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Terhoeven",
"Michael",
""
]
] |
Recently dilogarithm identities have made their appearance in the physics literature. These identities seem to allow to calculate structure constants like, in particular, the effective central charge of certain conformal field theories from their fusion rules. In Nahm, Recknagel, Terhoeven (1992) a proof of identities of this type was given by considering the asymptotics of character functions in the so-called Rogers-Ramanujan sum form and comparing with the asymptotics predicted by modular covariance. Refining the argument, we obtain {\it the general connection of quantum dimensions of certain conformal field theories to the arguments of the dilogarithm function} in the identities in question and {\it an infinite set of consistency conditions on the parameters of Rogers-Ramanujan type partitions for them to be modular covariant}.
|
hep-th/0304148
|
Marko Kolanovic
|
Marko Kolanovic, Massimo Porrati, Jan-Willem Rombouts
|
Regularization of Brane Induced Gravity
|
One reference added. To appear in PRD. 20 pages, 3 figures
|
Phys.Rev. D68 (2003) 064018
|
10.1103/PhysRevD.68.064018
| null |
hep-th
| null |
We study the regularization of theories of ``brane induced'' gravity in
codimension $N>1$. The brane can be interpreted as a thin dielectric with a
large dielectric constant, embedded in a higher dimensional space. The kinetic
term for the higher dimensional graviton is enhanced over the brane. A four
dimensional gravitation is found on the brane at distances smaller than a
critical distance $r<r_c$, and is due to the exchange of a massive resonant
graviton. The crossover scale $r_c$ is determined by the mass of the resonance.
The suppression of the couplings of light Kaluza-Klein modes to brane matter
results in a higher dimensional force law at large distances. We show that the
resulting theory is free of ghosts or tachyons.
|
[
{
"created": "Wed, 16 Apr 2003 19:37:35 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Jul 2003 19:39:20 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Kolanovic",
"Marko",
""
],
[
"Porrati",
"Massimo",
""
],
[
"Rombouts",
"Jan-Willem",
""
]
] |
We study the regularization of theories of ``brane induced'' gravity in codimension $N>1$. The brane can be interpreted as a thin dielectric with a large dielectric constant, embedded in a higher dimensional space. The kinetic term for the higher dimensional graviton is enhanced over the brane. A four dimensional gravitation is found on the brane at distances smaller than a critical distance $r<r_c$, and is due to the exchange of a massive resonant graviton. The crossover scale $r_c$ is determined by the mass of the resonance. The suppression of the couplings of light Kaluza-Klein modes to brane matter results in a higher dimensional force law at large distances. We show that the resulting theory is free of ghosts or tachyons.
|
hep-th/9612082
|
Achim Kempf
|
Achim Kempf (D.A.M.T.P., Cambridge, UK)
|
String/Quantum Gravity motivated Uncertainty Relations and
Regularisation in Field Theory
|
6 pages, LaTex, (to appear in Proc. 21st Intl. Coll. on Group Theor.
Methods in Physics, Goslar, July '96)
| null | null |
DAMTP/96-101
|
hep-th gr-qc math-ph math.MP math.QA q-alg quant-ph
| null |
The possibility of the existence of small correction terms to the canonical
commutation relations and the uncertainty relations has recently found renewed
interest. In particular, such correction terms could induce finite lower bounds
$\Delta x_0, \Delta p_0$ to the resolution of distances and/or momenta. I
review a general framework for the path integral formulation of quantum field
theories on such generalised geometries, and focus then on the mechanisms by
which $\Delta p_0>0$, and/or $\Delta x_0>0$ lead to IR and/or UV
regularisation.
|
[
{
"created": "Sun, 8 Dec 1996 15:31:59 GMT",
"version": "v1"
}
] |
2008-02-03
|
[
[
"Kempf",
"Achim",
"",
"D.A.M.T.P., Cambridge, UK"
]
] |
The possibility of the existence of small correction terms to the canonical commutation relations and the uncertainty relations has recently found renewed interest. In particular, such correction terms could induce finite lower bounds $\Delta x_0, \Delta p_0$ to the resolution of distances and/or momenta. I review a general framework for the path integral formulation of quantum field theories on such generalised geometries, and focus then on the mechanisms by which $\Delta p_0>0$, and/or $\Delta x_0>0$ lead to IR and/or UV regularisation.
|
2210.14916
|
Giulia Peveri
|
Julien Barrat, Pedro Liendo, Giulia Peveri
|
Multipoint correlators on the supersymmetric Wilson line defect CFT II:
Unprotected operators
|
44 pages, ancillary Mathematica notebook; v3: fixed an incomplete
caption and added a reference, matching JHEP version
| null | null |
HU-EP-22/35-RTG
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We continue our study of multipoint correlators of scalar fields on the $1d$
defect CFT generated by inserting operators along the Maldacena-Wilson line in
$\mathcal{N} = 4$ SYM. We present a weak-coupling recursion relation that
captures correlators at next-to-leading order involving an arbitrary number of
the elementary scalar fields $\phi^i$ and $\phi^6$, the latter being
unprotected. We can then build correlators of composite operators by pinching
the scalar fields together. As a demonstration of our method, we give explicit
results for correlators containing up to six points. We also expand some
selected correlators using recently obtained conformal blocks in the comb and
snowflake channel, and check that the extracted low-lying CFT data is
consistent with explicit computations.
|
[
{
"created": "Wed, 26 Oct 2022 18:00:00 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Jan 2023 13:34:32 GMT",
"version": "v2"
},
{
"created": "Fri, 25 Aug 2023 11:27:48 GMT",
"version": "v3"
}
] |
2023-08-28
|
[
[
"Barrat",
"Julien",
""
],
[
"Liendo",
"Pedro",
""
],
[
"Peveri",
"Giulia",
""
]
] |
We continue our study of multipoint correlators of scalar fields on the $1d$ defect CFT generated by inserting operators along the Maldacena-Wilson line in $\mathcal{N} = 4$ SYM. We present a weak-coupling recursion relation that captures correlators at next-to-leading order involving an arbitrary number of the elementary scalar fields $\phi^i$ and $\phi^6$, the latter being unprotected. We can then build correlators of composite operators by pinching the scalar fields together. As a demonstration of our method, we give explicit results for correlators containing up to six points. We also expand some selected correlators using recently obtained conformal blocks in the comb and snowflake channel, and check that the extracted low-lying CFT data is consistent with explicit computations.
|
hep-th/9407153
| null |
J.M. Figueroa-O'Farrill
|
Obstructions to Gauging WZ Terms: a Symplectic Curiosity
|
7 pages, plain TeX
| null | null |
QMW-PH-94-20
|
hep-th
| null |
This is an expository talk about the relation between gauging the WZ term of
a one-dimensional sigma-model with a symplectic target and the existence of an
equivariant moment mapping for symplectic group actions. The punch line is that
the obstructions for gauging coincide with the obstructions for the existence
of the moment mapping. This paper can be thought of a "prequel" of
hep-th/9407149.
|
[
{
"created": "Sat, 23 Jul 1994 19:16:41 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Figueroa-O'Farrill",
"J. M.",
""
]
] |
This is an expository talk about the relation between gauging the WZ term of a one-dimensional sigma-model with a symplectic target and the existence of an equivariant moment mapping for symplectic group actions. The punch line is that the obstructions for gauging coincide with the obstructions for the existence of the moment mapping. This paper can be thought of a "prequel" of hep-th/9407149.
|
1604.03110
|
Benjamin Mosk
|
Bartlomiej Czech, Lampros Lamprou, Samuel McCandlish, Benjamin Mosk,
and James Sully
|
A Stereoscopic Look into the Bulk
|
43+10 pages, 21 figures, 3 appendices. As submitted to JHEP, typos
corrected
|
JHEP07(2016)129
|
10.1007/JHEP07(2016)129
|
SU-ITP-16/07
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present the foundation for a holographic dictionary with depth perception.
The dictionary consists of natural CFT operators whose duals are simple,
diffeomorphism-invariant bulk operators. The CFT operators of interest are the
"OPE blocks," contributions to the OPE from a single conformal family. In
holographic theories, we show that the OPE blocks are dual at leading order in
1/N to integrals of effective bulk fields along geodesics or homogeneous
minimal surfaces in anti-de Sitter space. One widely studied example of an OPE
block is the modular Hamiltonian, which is dual to the fluctuation in the area
of a minimal surface. Thus, our operators pave the way for generalizing the
Ryu-Takayanagi relation to other bulk fields.
Although the OPE blocks are non-local operators in the CFT, they admit a
simple geometric description as fields in kinematic space--the space of pairs
of CFT points. We develop the tools for constructing local bulk operators in
terms of these non-local objects. The OPE blocks also allow for conceptually
clean and technically simple derivations of many results known in the
literature, including linearized Einstein's equations and the relation between
conformal blocks and geodesic Witten diagrams.
|
[
{
"created": "Mon, 11 Apr 2016 20:00:02 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Sep 2016 16:43:17 GMT",
"version": "v2"
}
] |
2016-09-29
|
[
[
"Czech",
"Bartlomiej",
""
],
[
"Lamprou",
"Lampros",
""
],
[
"McCandlish",
"Samuel",
""
],
[
"Mosk",
"Benjamin",
""
],
[
"Sully",
"James",
""
]
] |
We present the foundation for a holographic dictionary with depth perception. The dictionary consists of natural CFT operators whose duals are simple, diffeomorphism-invariant bulk operators. The CFT operators of interest are the "OPE blocks," contributions to the OPE from a single conformal family. In holographic theories, we show that the OPE blocks are dual at leading order in 1/N to integrals of effective bulk fields along geodesics or homogeneous minimal surfaces in anti-de Sitter space. One widely studied example of an OPE block is the modular Hamiltonian, which is dual to the fluctuation in the area of a minimal surface. Thus, our operators pave the way for generalizing the Ryu-Takayanagi relation to other bulk fields. Although the OPE blocks are non-local operators in the CFT, they admit a simple geometric description as fields in kinematic space--the space of pairs of CFT points. We develop the tools for constructing local bulk operators in terms of these non-local objects. The OPE blocks also allow for conceptually clean and technically simple derivations of many results known in the literature, including linearized Einstein's equations and the relation between conformal blocks and geodesic Witten diagrams.
|
1212.3232
|
Gerry McKeon Dr.
|
D.G.C. McKeon
|
The Superparticle on the Surface S_2
|
Six pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A superparticle action which is globally supersymmetric in the target space
is proposed. The supersymmetry is the supersymmetric extension of the rotation
group O(3).
|
[
{
"created": "Thu, 13 Dec 2012 17:30:33 GMT",
"version": "v1"
},
{
"created": "Sat, 21 Sep 2013 10:55:02 GMT",
"version": "v2"
}
] |
2013-09-24
|
[
[
"McKeon",
"D. G. C.",
""
]
] |
A superparticle action which is globally supersymmetric in the target space is proposed. The supersymmetry is the supersymmetric extension of the rotation group O(3).
|
0811.0715
|
Luca Lusanna
|
David Alba, Horace W. Crater and Luca Lusanna
|
Towards Relativistic Atomic Physics. II. Collective and Relative
Relativistic Variables for a System of Charged Particles plus the
Electro-Magnetic Field
|
71 pages
| null |
10.1139/P09-038
| null |
hep-th astro-ph gr-qc physics.atm-clus
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this second paper we complete the classical description of an isolated
system of "charged positive-energy particles, with Grassmann-valued electric
charges and mutual Coulomb interaction, plus a transverse electro-magnetic
field" in the rest-frame instant form of dynamics.
In particular we show how to determine a collective variable associated with
the internal 3-center of mass on the instantaneous 3-spaces, to be eliminated
with the constraints ${\vec {\cal K}}_{(int)} \approx 0$. Here ${\vec {\cal
K}}_{(int)}$ is the Lorentz boost generator in the unfaithful internal
realization of the Poincare' group and its vanishing is the gauge fixing to the
rest-frame conditions ${\vec {\cal P}}_{(int)} \approx 0$. We show how to find
this collective variable for the following isolated systems: a) charged
particles with a Coulomb plus Darwin mutual interaction; b) transverse
radiation field; c) charged particles with a mutual Coulomb interaction plus a
transverse electro-magnetic field.
Then we define the Dixon multipolar expansion for the open particle
subsystem. We also define the relativistic electric dipole approximation of
atomic physics in the rest-frame instant form and we find the a possible
relativistic generalization of the electric dipole representation.
|
[
{
"created": "Wed, 5 Nov 2008 12:42:35 GMT",
"version": "v1"
}
] |
2015-05-13
|
[
[
"Alba",
"David",
""
],
[
"Crater",
"Horace W.",
""
],
[
"Lusanna",
"Luca",
""
]
] |
In this second paper we complete the classical description of an isolated system of "charged positive-energy particles, with Grassmann-valued electric charges and mutual Coulomb interaction, plus a transverse electro-magnetic field" in the rest-frame instant form of dynamics. In particular we show how to determine a collective variable associated with the internal 3-center of mass on the instantaneous 3-spaces, to be eliminated with the constraints ${\vec {\cal K}}_{(int)} \approx 0$. Here ${\vec {\cal K}}_{(int)}$ is the Lorentz boost generator in the unfaithful internal realization of the Poincare' group and its vanishing is the gauge fixing to the rest-frame conditions ${\vec {\cal P}}_{(int)} \approx 0$. We show how to find this collective variable for the following isolated systems: a) charged particles with a Coulomb plus Darwin mutual interaction; b) transverse radiation field; c) charged particles with a mutual Coulomb interaction plus a transverse electro-magnetic field. Then we define the Dixon multipolar expansion for the open particle subsystem. We also define the relativistic electric dipole approximation of atomic physics in the rest-frame instant form and we find the a possible relativistic generalization of the electric dipole representation.
|
hep-th/9411097
|
Jeff Harvey
|
Jeffrey A. Harvey
|
Current Directions in String Theory and Abstract Supersymmetry
|
14 pages, latex, world_sci.sty, no figures, minor typos corrected
| null | null |
EFI-94-58
|
hep-th hep-ph
| null |
I discuss some current thoughts on how low-energy measurements and
consistency constrain theories at high energies with emphasis on string theory.
I also discuss some recent work on the dynamics of supersymmetric gauge
theories.
|
[
{
"created": "Mon, 14 Nov 1994 15:00:56 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Nov 1994 20:47:07 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Harvey",
"Jeffrey A.",
""
]
] |
I discuss some current thoughts on how low-energy measurements and consistency constrain theories at high energies with emphasis on string theory. I also discuss some recent work on the dynamics of supersymmetric gauge theories.
|
0803.1330
|
Alex H. Blin
|
Nicolas F. Lori, Alex H. Blin
|
Application of Quantum Darwinism to Diffusion during Cosmic Inflation
|
Latex, 15 pages. Alterations to improve clarity of text, added
references
| null | null | null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A baby-universe model of cosmic inflation is analyzed using quantum
Darwinism. In this model cosmic inflation can be approximated as Brownian
motion of a quantum field, and quantum Darwinism implies that decoherence is
the result of quantum Brownian motion of the wave function. The quantum
Darwinism approach to decoherence in the baby-universe cosmic-inflation model
yields the decoherence times of the baby-universes. The result is the equation
relating the baby-universe's decoherence time with the Hubble parameter. A
brief discussion of the relation between Darwinism and determinism is provided
in the Appendix.
|
[
{
"created": "Mon, 10 Mar 2008 16:43:49 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Aug 2008 16:59:26 GMT",
"version": "v2"
}
] |
2008-08-18
|
[
[
"Lori",
"Nicolas F.",
""
],
[
"Blin",
"Alex H.",
""
]
] |
A baby-universe model of cosmic inflation is analyzed using quantum Darwinism. In this model cosmic inflation can be approximated as Brownian motion of a quantum field, and quantum Darwinism implies that decoherence is the result of quantum Brownian motion of the wave function. The quantum Darwinism approach to decoherence in the baby-universe cosmic-inflation model yields the decoherence times of the baby-universes. The result is the equation relating the baby-universe's decoherence time with the Hubble parameter. A brief discussion of the relation between Darwinism and determinism is provided in the Appendix.
|
1905.00103
|
Peter Hayman
|
P. Hayman, C.P. Burgess
|
Point-Particle Catalysis
|
28 pages, 4 figures
| null | null | null |
hep-th nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use the point-particle effective field theory (PPEFT) framework to
describe particle-conversion mediated by a flavour-changing coupling to a
point-particle. We do this for a toy model of two non-relativistic scalars
coupled to the same point-particle, on which there is a flavour-violating
coupling. It is found that the point-particle couplings all must be
renormalized with respect to a radial cut-off near the origin, and it is an
invariant of the flow of the flavour-changing coupling that is directly related
to particle-changing cross-sections. At the same time, we find an interesting
dependence of those cross-sections on the ratio k_out/k_in of the outgoing and
incoming momenta, which can lead to a 1/k_in enhancement in certain regimes. We
further connect this model to the case of a single-particle non-self-adjoint
(absorptive) PPEFT, as well as to a PPEFT of a single particle coupled to a
two-state nucleus. These results could be relevant for future calculations of
any more complicated reactions, such as nucleus-induced electron-muon
conversions, monopole catalysis of baryon number violation, as well as nuclear
transfer reactions.
|
[
{
"created": "Tue, 30 Apr 2019 21:03:57 GMT",
"version": "v1"
}
] |
2019-05-02
|
[
[
"Hayman",
"P.",
""
],
[
"Burgess",
"C. P.",
""
]
] |
We use the point-particle effective field theory (PPEFT) framework to describe particle-conversion mediated by a flavour-changing coupling to a point-particle. We do this for a toy model of two non-relativistic scalars coupled to the same point-particle, on which there is a flavour-violating coupling. It is found that the point-particle couplings all must be renormalized with respect to a radial cut-off near the origin, and it is an invariant of the flow of the flavour-changing coupling that is directly related to particle-changing cross-sections. At the same time, we find an interesting dependence of those cross-sections on the ratio k_out/k_in of the outgoing and incoming momenta, which can lead to a 1/k_in enhancement in certain regimes. We further connect this model to the case of a single-particle non-self-adjoint (absorptive) PPEFT, as well as to a PPEFT of a single particle coupled to a two-state nucleus. These results could be relevant for future calculations of any more complicated reactions, such as nucleus-induced electron-muon conversions, monopole catalysis of baryon number violation, as well as nuclear transfer reactions.
|
hep-th/9501015
| null |
E. Elizalde and S. D. Odintsov
|
Dilaton-Maxwell gravity with matter near two dimensions
|
15 pages, LATEX file
|
Fortsch.Phys.44:85-104,1996
|
10.1002/prop.2190440202
|
UB-ECM-PF 94/34
|
hep-th
| null |
Unlike Einstein gravity, dilaton-Maxwell gravity with matter is
renormalizable in $2+\epsilon$ dimensions and has a smooth $\epsilon\to 0$
limit.By performing a renormalization- group study of this last theory we show
that the gravitational coupling constant $G$ has a non-trivial,ultraviolet
stable fixed point (asymptotic freedom) and that the dilatonic coupling
functions (including the dilatonic potential) exhibit also a real, non-trivial
fixed point. At such point the theory represents a standard charged
string-inspired model.Stability and the gauge dependence of the fixed-point
solution is discussed.It is shown that all these properties remain valid in a
dilatonic-Yang-Mills theory with $n$ scalars and $m$ spinors, that has the UF
stable fixed point $G^* = 3\epsilon (48+12N-m-2n)^{-1}$.In addition, it is seen
that by increasing $N$ (number of gauge fields) the matter central charge
$C=n+m/2$ ($0<C<24+6N$) can be increased correspondingly (in pure dilatonic
gravity $0<C<24$).
|
[
{
"created": "Thu, 5 Jan 1995 10:21:53 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Elizalde",
"E.",
""
],
[
"Odintsov",
"S. D.",
""
]
] |
Unlike Einstein gravity, dilaton-Maxwell gravity with matter is renormalizable in $2+\epsilon$ dimensions and has a smooth $\epsilon\to 0$ limit.By performing a renormalization- group study of this last theory we show that the gravitational coupling constant $G$ has a non-trivial,ultraviolet stable fixed point (asymptotic freedom) and that the dilatonic coupling functions (including the dilatonic potential) exhibit also a real, non-trivial fixed point. At such point the theory represents a standard charged string-inspired model.Stability and the gauge dependence of the fixed-point solution is discussed.It is shown that all these properties remain valid in a dilatonic-Yang-Mills theory with $n$ scalars and $m$ spinors, that has the UF stable fixed point $G^* = 3\epsilon (48+12N-m-2n)^{-1}$.In addition, it is seen that by increasing $N$ (number of gauge fields) the matter central charge $C=n+m/2$ ($0<C<24+6N$) can be increased correspondingly (in pure dilatonic gravity $0<C<24$).
|
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