id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1407.3907 | Hing Tong Cho | H. T. Cho and B. L. Hu | Noise kernels of stochastic gravity in conformally-flat spacetimes | 18 pages, no figures | Class. Quant. Gravity. 32 (2015) 055006 | 10.1088/0264-9381/32/5/055006 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The central object in the theory of semiclassical stochastic gravity is the
noise kernel which is the symmetric two point correlation function of the
stress-energy tensor. Using the corresponding Wightman functions in Minkowski,
Einstein and open Einstein spaces, we construct the noise kernels of a
conformally coupled scalar field in these spacetimes. From them we show that
the noise kernels in conformally-flat spacetimes, including the
Friedmann-Robertson-Walker universes, can be obtained in closed analytic forms
by using a combination of conformal and coordindate transformations.
| [
{
"created": "Tue, 15 Jul 2014 08:22:42 GMT",
"version": "v1"
}
] | 2016-03-23 | [
[
"Cho",
"H. T.",
""
],
[
"Hu",
"B. L.",
""
]
] | The central object in the theory of semiclassical stochastic gravity is the noise kernel which is the symmetric two point correlation function of the stress-energy tensor. Using the corresponding Wightman functions in Minkowski, Einstein and open Einstein spaces, we construct the noise kernels of a conformally coupled scalar field in these spacetimes. From them we show that the noise kernels in conformally-flat spacetimes, including the Friedmann-Robertson-Walker universes, can be obtained in closed analytic forms by using a combination of conformal and coordindate transformations. |
2101.10619 | Sota Nakajima | H. Itoyama, Sota Nakajima | Marginal deformations of heterotic interpolating models and exponential
suppression of the cosmological constant | null | null | 10.1016/j.physletb.2021.136195 | NITEP 89, OCU-PHYS 531 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Following our previous work of 1905.10745 [hep-th], 2003.11217 [hep-th], we
study heterotic interpolating models $D$ dimensionally compactified with
constant background fields that include the full set of Wilson lines and radii.
Focusing on the phenomenoloically viable supersymmetry restoring parameter
region, we analyze the pattern of gauge symmetry enhancement and the
representation of massless fermions. We obtain the set of cases with the
exponentially small cosmological constant. Our analysis does not depend on
non-supersymmetric endpoint models of interpolations. A part of the moduli
space of interpolating models is in one-to-one correspondence with the
counterpart of toroidal compactification of heterotic superstrings.
| [
{
"created": "Tue, 26 Jan 2021 08:12:47 GMT",
"version": "v1"
}
] | 2021-03-10 | [
[
"Itoyama",
"H.",
""
],
[
"Nakajima",
"Sota",
""
]
] | Following our previous work of 1905.10745 [hep-th], 2003.11217 [hep-th], we study heterotic interpolating models $D$ dimensionally compactified with constant background fields that include the full set of Wilson lines and radii. Focusing on the phenomenoloically viable supersymmetry restoring parameter region, we analyze the pattern of gauge symmetry enhancement and the representation of massless fermions. We obtain the set of cases with the exponentially small cosmological constant. Our analysis does not depend on non-supersymmetric endpoint models of interpolations. A part of the moduli space of interpolating models is in one-to-one correspondence with the counterpart of toroidal compactification of heterotic superstrings. |
0808.3921 | Stefano Bellucci | Stefano Bellucci, Bhupendra Nath Tiwari | On the Microscopic Perspective of Black Branes Thermodynamic Geometry | 32 pages, LaTeX file, PACS numbers: 04.70.-s Physics of black holes;
04.70.Bw Classical black holes; 04.70.Dy Quantum aspects of black holes,
evaporation, thermodynamics | Entropy 12:2097-2143,2010 | 10.3390/e12102097 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this article we study correspondence between the microscopic spectrum and
macroscopic properties of a class of extremal and non-extremal black branes and
outline an origin of the interactions among various microstates of a given
black brane configuration from the perspective of an intrinsic Riemannian
geometry arising from the coarse graining entropy over a large number of
microstates. We have analyzed the state-space geometry in the case of various
extremal and non-extremal black branes arising from the string theories,
multi-centered black brane configurations, small black holes with fractional
branes, fuzzy rings in the set up of Mathur's fuzzballs and subensemble theory,
as well as that the black brane foams from the considerations of bubbling black
brane solutions in the M-theory. We have further shown that there exists a
clear mechanism on the black brane side that describes the notion of associated
interactions in the state-space or vice-versa. We thus find that in all such
cases there are no singularities in the state-space manifold of these black
brane configurations. This observation is in turn consistent with the existing
picture of corresponding microscopic CFT data.
| [
{
"created": "Thu, 28 Aug 2008 14:29:06 GMT",
"version": "v1"
}
] | 2011-04-07 | [
[
"Bellucci",
"Stefano",
""
],
[
"Tiwari",
"Bhupendra Nath",
""
]
] | In this article we study correspondence between the microscopic spectrum and macroscopic properties of a class of extremal and non-extremal black branes and outline an origin of the interactions among various microstates of a given black brane configuration from the perspective of an intrinsic Riemannian geometry arising from the coarse graining entropy over a large number of microstates. We have analyzed the state-space geometry in the case of various extremal and non-extremal black branes arising from the string theories, multi-centered black brane configurations, small black holes with fractional branes, fuzzy rings in the set up of Mathur's fuzzballs and subensemble theory, as well as that the black brane foams from the considerations of bubbling black brane solutions in the M-theory. We have further shown that there exists a clear mechanism on the black brane side that describes the notion of associated interactions in the state-space or vice-versa. We thus find that in all such cases there are no singularities in the state-space manifold of these black brane configurations. This observation is in turn consistent with the existing picture of corresponding microscopic CFT data. |
hep-th/9205081 | null | Ramzi R. Khuri | A Heterotic Multimonopole Solution | 19 pages | Nucl.Phys. B387 (1992) 315-332 | 10.1016/0550-3213(92)90163-6 | null | hep-th | null | An exact multimonopole solution of heterotic string theory is presented. The
solution is constructed by a modification of the 't Hooft ansatz for a
four-dimensional instanton. An analogous solution in Yang-Mills field theory
saturates a Bogomoln'yi bound and possesses the topology and far field limit of
a multimonopole configuration, but has divergent action near each source. In
the string solution, however, the divergences from the Yang-Mills sector are
precisely cancelled by those from the gravity sector. The resultant action is
finite and easily computed. The Manton metric on moduli space for the
scattering of two string monopoles is found to be flat to leading order in the
impact parameter, in agreement with the trivial scattering predicted by a test
monopole calculation.
| [
{
"created": "Sat, 23 May 1992 05:27:41 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Khuri",
"Ramzi R.",
""
]
] | An exact multimonopole solution of heterotic string theory is presented. The solution is constructed by a modification of the 't Hooft ansatz for a four-dimensional instanton. An analogous solution in Yang-Mills field theory saturates a Bogomoln'yi bound and possesses the topology and far field limit of a multimonopole configuration, but has divergent action near each source. In the string solution, however, the divergences from the Yang-Mills sector are precisely cancelled by those from the gravity sector. The resultant action is finite and easily computed. The Manton metric on moduli space for the scattering of two string monopoles is found to be flat to leading order in the impact parameter, in agreement with the trivial scattering predicted by a test monopole calculation. |
1603.07176 | Laure Gouba | Laure Gouba | A comparative review of four formulations of noncommutative quantum
mechanics | 14 pages, change of the title, minor modifications of the abstract
and the introduction, additional references. Published in International
Journal of Modern Physics A, World Scientific Publishing Compagny. arXiv
admin note: text overlap with arXiv:hep-th/0611257, arXiv:0709.3357 by other
authors | International Journal of Modern Physics A, Vol. 31 (2016) 1630025
(15 pages) | 10.1142/S0217751X16300258 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Four formulations of quantum mechanics on noncommutative Moyal phase spaces
are reviewed. These are the canonical, path-integral, Weyl-Wigner and
systematic formulations. Although all these formulations represent quantum
mechanics on a phase space with the same deformed Heisenberg algebra, there are
mathematical and conceptual differences which we discuss.
| [
{
"created": "Wed, 23 Mar 2016 13:31:44 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Jun 2016 04:56:09 GMT",
"version": "v2"
}
] | 2016-07-01 | [
[
"Gouba",
"Laure",
""
]
] | Four formulations of quantum mechanics on noncommutative Moyal phase spaces are reviewed. These are the canonical, path-integral, Weyl-Wigner and systematic formulations. Although all these formulations represent quantum mechanics on a phase space with the same deformed Heisenberg algebra, there are mathematical and conceptual differences which we discuss. |
2405.04736 | Brenno Carlini Vallilo | Osvaldo Chandia, Brenno Carlini Vallilo | Compactifications of Type II Supergravities in Superspace | 25 pages | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We propose a way to describe compactifications of Type II supergravities with
fluxes directly from superspace. The superspace used is the one that arises
naturally from the pure spinor superstring. We show how previous results of
flux compactifications can be obtained from our method.
| [
{
"created": "Wed, 8 May 2024 00:54:57 GMT",
"version": "v1"
}
] | 2024-05-09 | [
[
"Chandia",
"Osvaldo",
""
],
[
"Vallilo",
"Brenno Carlini",
""
]
] | We propose a way to describe compactifications of Type II supergravities with fluxes directly from superspace. The superspace used is the one that arises naturally from the pure spinor superstring. We show how previous results of flux compactifications can be obtained from our method. |
2201.03231 | Jean-Francois Mathiot | Jean-Fran\c{c}ois Mathiot | The fate of the trace anomaly in a finite formulation of field theory | 8 pages, no figures | Int. J. Mod. Phys. A 11 (2021) 2150265 | 10.1142/S0217751X21502651 | null | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | Within the framework of the recently proposed Taylor-Lagrange regularization
scheme - which leads to finite elementary amplitudes in $4$-dimensional
space-time with no additional dimensionful scales - we show that the trace of
the energy-momentum tensor does not show any anomalous contribution even though
quantum corrections are considered. Moreover, since the only renormalization we
can think of within this scheme is a finite renormalization of the bare
parameters to give the physical ones, the canonical dimension of quantum fields
is also preserved by the use of this regularization scheme.
| [
{
"created": "Mon, 10 Jan 2022 09:33:13 GMT",
"version": "v1"
}
] | 2022-01-11 | [
[
"Mathiot",
"Jean-François",
""
]
] | Within the framework of the recently proposed Taylor-Lagrange regularization scheme - which leads to finite elementary amplitudes in $4$-dimensional space-time with no additional dimensionful scales - we show that the trace of the energy-momentum tensor does not show any anomalous contribution even though quantum corrections are considered. Moreover, since the only renormalization we can think of within this scheme is a finite renormalization of the bare parameters to give the physical ones, the canonical dimension of quantum fields is also preserved by the use of this regularization scheme. |
hep-th/9811091 | Jeremy S. Heyl | Jeremy S. Heyl and Lars Hernquist | Nonlinear QED Effects in Strong-Field Magnetohydrodynamics | 8 pages, 1 figure | Phys.Rev. D59 (1999) 045005 | 10.1103/PhysRevD.59.045005 | null | hep-th astro-ph | null | We examine wave propagation and the formation of shocks in strongly
magnetized plasmas by applying a variational technique and the method of
characteristics to the coupled magnetohydrodynamic (MHD) and
quantum-electrodynamic (QED) equations of motion. In sufficiently strong
magnetic fields such as those found near neutron stars, not only is the plasma
extremely relativistic but the effects of QED must be included to understand
processes in the magnetosphere. As Thompson & Blaes [1] find, the fundamental
modes in the extreme relativistic limit of MHD coupled with QED are two
oppositely directed Alfv\'{e}n modes and the fast mode. QED introduces
nonlinear couplings which affect the propagation of the fast mode such that
waves traveling in the fast mode evolve as vacuum electromagnetic ones do in
the presence of an external magnetic field [2] (Heyl & Hernquist 1998). The
propagation of a single Alfv\'{e}n mode is unaffected but QED does alter the
coupling between the Alfv\'{e}n modes.
| [
{
"created": "Tue, 10 Nov 1998 17:04:56 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Heyl",
"Jeremy S.",
""
],
[
"Hernquist",
"Lars",
""
]
] | We examine wave propagation and the formation of shocks in strongly magnetized plasmas by applying a variational technique and the method of characteristics to the coupled magnetohydrodynamic (MHD) and quantum-electrodynamic (QED) equations of motion. In sufficiently strong magnetic fields such as those found near neutron stars, not only is the plasma extremely relativistic but the effects of QED must be included to understand processes in the magnetosphere. As Thompson & Blaes [1] find, the fundamental modes in the extreme relativistic limit of MHD coupled with QED are two oppositely directed Alfv\'{e}n modes and the fast mode. QED introduces nonlinear couplings which affect the propagation of the fast mode such that waves traveling in the fast mode evolve as vacuum electromagnetic ones do in the presence of an external magnetic field [2] (Heyl & Hernquist 1998). The propagation of a single Alfv\'{e}n mode is unaffected but QED does alter the coupling between the Alfv\'{e}n modes. |
2403.03547 | Yi-Jian Du | Chongsi Xie, Yi-Jian Du | Extracting quadratic propagators by refined graphic rule | 67 pages, 43 figures, 2 tables | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | One-loop integrands in Cachazo-He-Yuan (CHY) formula, which is based on the
forward limit of tree-level amplitudes, involves linear propagators that are
different from quadratic ones in traditional Feynman diagrams. In this paper,
we provide a general approach to converting linear propagators in one-loop CHY
formula into quadratic propagators, by refined graphic rule stemming from the
recursive expansion of tree-level Einstein-Yang-Mills amplitudes. We establish
the correspondence between refined graphs with cut lines and the bi-adjoint
scalar (BS) Feynman diagrams with linear propagators. Using this correspondence
and helpful properties of Berends-Giele currents in BS theory, we convert the
linear propagators in single-trace Yang-Mills-scalar (YMS) integrands (with a
pure-scalar loop) into quadratic ones. This result is further demonstrated to
match the traditional one-loop Feynman diagrams. The discussions on
single-trace YMS integrands are generalized to multi-trace YMS and Yang-Mills
integrands.
| [
{
"created": "Wed, 6 Mar 2024 08:48:56 GMT",
"version": "v1"
}
] | 2024-03-07 | [
[
"Xie",
"Chongsi",
""
],
[
"Du",
"Yi-Jian",
""
]
] | One-loop integrands in Cachazo-He-Yuan (CHY) formula, which is based on the forward limit of tree-level amplitudes, involves linear propagators that are different from quadratic ones in traditional Feynman diagrams. In this paper, we provide a general approach to converting linear propagators in one-loop CHY formula into quadratic propagators, by refined graphic rule stemming from the recursive expansion of tree-level Einstein-Yang-Mills amplitudes. We establish the correspondence between refined graphs with cut lines and the bi-adjoint scalar (BS) Feynman diagrams with linear propagators. Using this correspondence and helpful properties of Berends-Giele currents in BS theory, we convert the linear propagators in single-trace Yang-Mills-scalar (YMS) integrands (with a pure-scalar loop) into quadratic ones. This result is further demonstrated to match the traditional one-loop Feynman diagrams. The discussions on single-trace YMS integrands are generalized to multi-trace YMS and Yang-Mills integrands. |
2208.05974 | Arjun Kar | Arjun Kar, Lampros Lamprou, Charles Marteau, Felipe Rosso | A Matrix Model for Flat Space Quantum Gravity | 53+20 pages, 13 figures | null | 10.1007/JHEP03(2023)249 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We take a step towards the non-perturbative description of a two-dimensional
dilaton-gravity theory which has a vanishing cosmological constant and contains
black holes. This is done in terms of a double-scaled Hermitian random matrix
model which non-perturbatively computes the partition function for the
asymptotic Bondi Hamiltonian. To arrive at this connection we first construct
the gauge-invariant asymptotic phase space of the theory and determine the
relevant asymptotic boundary conditions, compute the classical S-matrix and,
finally, shed light on the interpretation of the Euclidean path integral
defined in previous works. We then construct a matrix model that matches the
topological expansion of the latter, to all orders. This allows us to compute
the fine-grained Bondi spectrum and other late time observables and to
construct asymptotic Hilbert spaces. We further study aspects of the
semi-classical dynamics of the finite cut-off theory coupled to probe matter
and find evidence of maximally chaotic behavior in out-of-time-order
correlators. We conclude with a strategy for constructing the non-perturbative
S-matrix for our model coupled to probe matter and comment on the treatment of
black holes in celestial holography.
| [
{
"created": "Thu, 11 Aug 2022 18:00:00 GMT",
"version": "v1"
}
] | 2023-04-19 | [
[
"Kar",
"Arjun",
""
],
[
"Lamprou",
"Lampros",
""
],
[
"Marteau",
"Charles",
""
],
[
"Rosso",
"Felipe",
""
]
] | We take a step towards the non-perturbative description of a two-dimensional dilaton-gravity theory which has a vanishing cosmological constant and contains black holes. This is done in terms of a double-scaled Hermitian random matrix model which non-perturbatively computes the partition function for the asymptotic Bondi Hamiltonian. To arrive at this connection we first construct the gauge-invariant asymptotic phase space of the theory and determine the relevant asymptotic boundary conditions, compute the classical S-matrix and, finally, shed light on the interpretation of the Euclidean path integral defined in previous works. We then construct a matrix model that matches the topological expansion of the latter, to all orders. This allows us to compute the fine-grained Bondi spectrum and other late time observables and to construct asymptotic Hilbert spaces. We further study aspects of the semi-classical dynamics of the finite cut-off theory coupled to probe matter and find evidence of maximally chaotic behavior in out-of-time-order correlators. We conclude with a strategy for constructing the non-perturbative S-matrix for our model coupled to probe matter and comment on the treatment of black holes in celestial holography. |
hep-th/0402149 | Roberto Emparan | Roberto Emparan | Rotating Circular Strings, and Infinite Non-Uniqueness of Black Rings | 31 pages, 7 figures. v2: minor changes, added reference. v3:
erroneous values of T_{ww} (eq.(3.39)) and n_p (eq.(5.20)) corrected, and
accompanying discussion amended. In the journal version these corrections
appear as an appended erratum. No major changes involved | JHEP0403:064,2004 | 10.1088/1126-6708/2004/03/064 | null | hep-th gr-qc | null | We present new self-gravitating solutions in five dimensions that describe
circular strings, i.e., rings, electrically coupled to a two-form potential (as
e.g., fundamental strings do), or to a dual magnetic one-form. The rings are
prevented from collapsing by rotation, and they create a field analogous to a
dipole, with no net charge measured at infinity. They can have a regular
horizon, and we show that this implies the existence of an infinite number of
black rings, labeled by a continuous parameter, with the same mass and angular
momentum as neutral black rings and black holes. We also discuss the solution
for a rotating loop of fundamental string. We show how more general rings arise
from intersections of branes with a regular horizon (even at extremality),
closely related to the configurations that yield the four-dimensional black
hole with four charges. We reproduce the Bekenstein-Hawking entropy of a large
extremal ring through a microscopic calculation. Finally, we discuss some
qualitative ideas for a microscopic understanding of neutral and dipole black
rings.
| [
{
"created": "Thu, 19 Feb 2004 15:06:27 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Apr 2004 09:49:49 GMT",
"version": "v2"
},
{
"created": "Tue, 2 May 2006 15:16:12 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Emparan",
"Roberto",
""
]
] | We present new self-gravitating solutions in five dimensions that describe circular strings, i.e., rings, electrically coupled to a two-form potential (as e.g., fundamental strings do), or to a dual magnetic one-form. The rings are prevented from collapsing by rotation, and they create a field analogous to a dipole, with no net charge measured at infinity. They can have a regular horizon, and we show that this implies the existence of an infinite number of black rings, labeled by a continuous parameter, with the same mass and angular momentum as neutral black rings and black holes. We also discuss the solution for a rotating loop of fundamental string. We show how more general rings arise from intersections of branes with a regular horizon (even at extremality), closely related to the configurations that yield the four-dimensional black hole with four charges. We reproduce the Bekenstein-Hawking entropy of a large extremal ring through a microscopic calculation. Finally, we discuss some qualitative ideas for a microscopic understanding of neutral and dipole black rings. |
hep-th/0209136 | Rudra Prakash Malik | R. P. Malik (Bose National Centre) | Abelian 2-form gauge theory: special features | LaTeX, 23 pages, journal ref. given | J.Phys.A36:5095-5114,2003 | 10.1088/0305-4470/36/18/314 | null | hep-th | null | It is shown that the four $(3 + 1)$-dimensional (4D) free Abelian 2-form
gauge theory provides an example of (i) a class of field theoretical models for
the Hodge theory, and (ii) a possible candidate for the quasi-topological field
theory (q-TFT). Despite many striking similarities with some of the key
topological features of the two $(1 + 1)$-dimensional (2D) free Abelian (and
self-interacting non-Abelian) gauge theories, it turns out that the 4D free
Abelian 2-form gauge theory is {\it not} an exact TFT. To corroborate this
conclusion, some of the key issues are discussed. In particular, it is shown
that the (anti-)BRST and (anti-)co-BRST invariant quantities of the 4D 2-form
Abelian gauge theory obey the recursion relations that are reminiscent of the
exact TFTs but the Lagrangian density of this theory is not found to be able to
be expressed as the sum of (anti-)BRST and (anti-)co-BRST exact quantities as
is the case with the {\it topological} 2D free Abelian (and self-interacting
non-Abelian) gauge theories.
| [
{
"created": "Tue, 17 Sep 2002 14:12:30 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Oct 2002 12:24:25 GMT",
"version": "v2"
},
{
"created": "Fri, 21 Mar 2003 17:02:47 GMT",
"version": "v3"
},
{
"created": "Sat, 26 Apr 2003 10:49:50 GMT",
"version": "v4"
}
] | 2008-11-26 | [
[
"Malik",
"R. P.",
"",
"Bose National Centre"
]
] | It is shown that the four $(3 + 1)$-dimensional (4D) free Abelian 2-form gauge theory provides an example of (i) a class of field theoretical models for the Hodge theory, and (ii) a possible candidate for the quasi-topological field theory (q-TFT). Despite many striking similarities with some of the key topological features of the two $(1 + 1)$-dimensional (2D) free Abelian (and self-interacting non-Abelian) gauge theories, it turns out that the 4D free Abelian 2-form gauge theory is {\it not} an exact TFT. To corroborate this conclusion, some of the key issues are discussed. In particular, it is shown that the (anti-)BRST and (anti-)co-BRST invariant quantities of the 4D 2-form Abelian gauge theory obey the recursion relations that are reminiscent of the exact TFTs but the Lagrangian density of this theory is not found to be able to be expressed as the sum of (anti-)BRST and (anti-)co-BRST exact quantities as is the case with the {\it topological} 2D free Abelian (and self-interacting non-Abelian) gauge theories. |
hep-th/9508011 | null | Stefano De Leo | Quaternions and Special Relativity | 17 pages, latex, no figures | J.Math.Phys. 37 (1996) 2955-2968 | 10.1063/1.531548 | null | hep-th | null | We reformulate Special Relativity by a quaternionic algebra on reals. Using
{\em real linear quaternions}, we show that previous difficulties, concerning
the appropriate transformations on the $3+1$ space-time, may be overcome. This
implies that a complexified quaternionic version of Special Relativity is a
choice and not a necessity.
| [
{
"created": "Thu, 3 Aug 1995 08:46:05 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"De Leo",
"Stefano",
""
]
] | We reformulate Special Relativity by a quaternionic algebra on reals. Using {\em real linear quaternions}, we show that previous difficulties, concerning the appropriate transformations on the $3+1$ space-time, may be overcome. This implies that a complexified quaternionic version of Special Relativity is a choice and not a necessity. |
hep-th/9906165 | Osvaldo Chandia | Osvaldo Chandia and Jorge Zanelli | Reply to the comment by D. Kreimer and E. Mielke | 9 pages, revtex | Phys.Rev. D63 (2001) 048502 | 10.1103/PhysRevD.63.048502 | IFT-P.051/99 | hep-th gr-qc | null | We respond to the comment by Kreimer et. al. about the torsional contribution
to the chiral anomaly in curved spacetimes. We discuss their claims and refute
its main conclusion.
| [
{
"created": "Mon, 21 Jun 1999 16:21:09 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Chandia",
"Osvaldo",
""
],
[
"Zanelli",
"Jorge",
""
]
] | We respond to the comment by Kreimer et. al. about the torsional contribution to the chiral anomaly in curved spacetimes. We discuss their claims and refute its main conclusion. |
1109.3849 | Mohammad Reza Setare | M. R. Setare and V. Kamali | Correlation functions of BCFT | 15 pages, no figure, section 5 added to the new version | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Boundary conformal field theory (BCFT) is the study of conformal field theory
(CFT) on manifolds with a boundary. We can use conformal symmetry to constrain
correlation functions of conformal invariant fields. We compute two-point and
three-point functions of conformal invariant fields which live in semi-infinite
space. For a situation with a boundary condition in surface $z=\bar{z}$
($t=0$), the results agree with gravity dual results. We also explore
representations of conformal group in two dimensions.
| [
{
"created": "Sun, 18 Sep 2011 07:28:05 GMT",
"version": "v1"
},
{
"created": "Sat, 8 Sep 2012 13:22:16 GMT",
"version": "v2"
}
] | 2012-09-11 | [
[
"Setare",
"M. R.",
""
],
[
"Kamali",
"V.",
""
]
] | Boundary conformal field theory (BCFT) is the study of conformal field theory (CFT) on manifolds with a boundary. We can use conformal symmetry to constrain correlation functions of conformal invariant fields. We compute two-point and three-point functions of conformal invariant fields which live in semi-infinite space. For a situation with a boundary condition in surface $z=\bar{z}$ ($t=0$), the results agree with gravity dual results. We also explore representations of conformal group in two dimensions. |
1108.3563 | Taro Kimura | Taro Kimura, Muneto Nitta | Vortices on Orbifolds | 25 pages, 4 figures; references added | JHEP 1109:118,2011 | 10.1007/JHEP09(2011)118 | RIKEN-MP-26 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Abelian and non-Abelian vortices on orbifolds are investigated based on
the moduli matrix approach, which is a powerful method to deal with the BPS
equation. The moduli space and the vortex collision are discussed through the
moduli matrix as well as the regular space. It is also shown that a quiver
structure is found in the Kahler quotient, and a half of ADHM is obtained for
the vortex theory on the orbifolds as the case before orbifolding.
| [
{
"created": "Wed, 17 Aug 2011 19:59:59 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Sep 2011 17:10:00 GMT",
"version": "v2"
}
] | 2011-10-05 | [
[
"Kimura",
"Taro",
""
],
[
"Nitta",
"Muneto",
""
]
] | The Abelian and non-Abelian vortices on orbifolds are investigated based on the moduli matrix approach, which is a powerful method to deal with the BPS equation. The moduli space and the vortex collision are discussed through the moduli matrix as well as the regular space. It is also shown that a quiver structure is found in the Kahler quotient, and a half of ADHM is obtained for the vortex theory on the orbifolds as the case before orbifolding. |
1906.02297 | Elliott Gesteau | Elliott Gesteau | Renormalizing Yukawa interactions in the standard model with matrices
and noncommutative geometry | 19 pages, 4 figures v2: minor corrections, enhanced presentation and
discussion | J. Phys. A: Math. Theor. 54 035203 (2021) | 10.1088/1751-8121/abd153 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that gauge-independent terms in the one-loop and multi-loops
$\beta$-functions of the Standard Model can be exactly computed from the
Wetterich functional renormalization of a matrix model. Our framework is
associated to the finite spectral triple underlying the computation of the
Standard Model Lagrangian from the spectral action of Noncommutative Geometry.
This matrix-Yukawa duality for the $\beta$-function is a first hint towards
understanding the renormalization of the Noncommutative Standard Model
conceptually, and provides a novel computational approach for multi-loop
$\beta$-functions of particle physics models.
| [
{
"created": "Wed, 5 Jun 2019 20:31:08 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Jan 2021 02:45:21 GMT",
"version": "v2"
}
] | 2021-01-08 | [
[
"Gesteau",
"Elliott",
""
]
] | We show that gauge-independent terms in the one-loop and multi-loops $\beta$-functions of the Standard Model can be exactly computed from the Wetterich functional renormalization of a matrix model. Our framework is associated to the finite spectral triple underlying the computation of the Standard Model Lagrangian from the spectral action of Noncommutative Geometry. This matrix-Yukawa duality for the $\beta$-function is a first hint towards understanding the renormalization of the Noncommutative Standard Model conceptually, and provides a novel computational approach for multi-loop $\beta$-functions of particle physics models. |
1710.09516 | Veronika E. Hubeny | Matthew Headrick, Veronika E. Hubeny | Riemannian and Lorentzian flow-cut theorems | 34 pages, 9 figures | Class. Quant. Grav. 35: 10 (2018) | 10.1088/1361-6382/aab83c | BRX-TH-6325, MIT-CTP/4941 | hep-th gr-qc math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We prove several geometric theorems using tools from the theory of convex
optimization. In the Riemannian setting, we prove the max flow-min cut theorem
for boundary regions, applied recently to develop a "bit-thread" interpretation
of holographic entanglement entropies. We also prove various properties of the
max flow and min cut, including respective nesting properties. In the
Lorentzian setting, we prove the analogous min flow-max cut theorem, which
states that the volume of a maximal slice equals the flux of a minimal flow,
where a flow is defined as a divergenceless timelike vector field with norm at
least 1. This theorem includes as a special case a continuum version of
Dilworth's theorem from the theory of partially ordered sets. We include a
brief review of the necessary tools from the theory of convex optimization, in
particular Lagrangian duality and convex relaxation.
| [
{
"created": "Thu, 26 Oct 2017 02:42:12 GMT",
"version": "v1"
}
] | 2018-08-23 | [
[
"Headrick",
"Matthew",
""
],
[
"Hubeny",
"Veronika E.",
""
]
] | We prove several geometric theorems using tools from the theory of convex optimization. In the Riemannian setting, we prove the max flow-min cut theorem for boundary regions, applied recently to develop a "bit-thread" interpretation of holographic entanglement entropies. We also prove various properties of the max flow and min cut, including respective nesting properties. In the Lorentzian setting, we prove the analogous min flow-max cut theorem, which states that the volume of a maximal slice equals the flux of a minimal flow, where a flow is defined as a divergenceless timelike vector field with norm at least 1. This theorem includes as a special case a continuum version of Dilworth's theorem from the theory of partially ordered sets. We include a brief review of the necessary tools from the theory of convex optimization, in particular Lagrangian duality and convex relaxation. |
hep-th/9704200 | Elisha Atzmon | E. Atzmon | Bi-Graded Markovian Matrices as Non-Local Dirac Operators and a New
Quantum Evolution | 22 pages, latex, epsf, amssymbols, 1 figures | null | null | TAUP-2420-97 | hep-th cond-mat math.QA nlin.PS patt-sol q-alg | null | Measuring distances on a lattice in noncommutative geometry involves square,
symmetric and real ``three-diagonal'' matrices, with the sum of their elements
obeying a supremum condition, together with a constraint forcing the absolute
value of the maximal eigenvalue to be equal to 1. In even dimensions, these
matrices are unipotent of order two, while in odd dimensions only their squares
are Markovian. We suggest that these bi-graded Markovian matrices (i.e.
consisting in the square roots of Markovian matrices) can be thought of as
non-local Dirac operators. The eigenvectors of these matrices are spinors.
Treating these matrices as determining the stochastic time evolution of states
might explain why one observes only left handed neutrinos. Some other physical
interpretations are suggested. We end by presenting a mathematical conjecture
applying to q-graded Markovian matrices.
| [
{
"created": "Tue, 29 Apr 1997 09:04:06 GMT",
"version": "v1"
}
] | 2008-02-03 | [
[
"Atzmon",
"E.",
""
]
] | Measuring distances on a lattice in noncommutative geometry involves square, symmetric and real ``three-diagonal'' matrices, with the sum of their elements obeying a supremum condition, together with a constraint forcing the absolute value of the maximal eigenvalue to be equal to 1. In even dimensions, these matrices are unipotent of order two, while in odd dimensions only their squares are Markovian. We suggest that these bi-graded Markovian matrices (i.e. consisting in the square roots of Markovian matrices) can be thought of as non-local Dirac operators. The eigenvectors of these matrices are spinors. Treating these matrices as determining the stochastic time evolution of states might explain why one observes only left handed neutrinos. Some other physical interpretations are suggested. We end by presenting a mathematical conjecture applying to q-graded Markovian matrices. |
1506.04660 | Alexander Reshetnyak | Pavel Yu. Moshin and Alexander A. Reshetnyak | Finite Field-Dependent BRST-antiBRST Transformations: Jacobians and
Application to the Standard Model | 64 pages, no figures, notes on functional integral,
superdeterminants, Eq.(5.30), Ward identities for SM in GZ form (5.43)-(5.45)
added, Discussions extended by Proposition 7 and related formulae,
Eq.(5.43)-(5.45) corrected, remarks on gauge-invariant regularization,
renormalization added, 14 references added, misprints corrected | Int.J.Mod.Phys. A 31 (2016) 1650111 (87 pages) | 10.1142/S0217751X16501116 | null | hep-th hep-lat math-ph math.DS math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We continue our research Nucl.Phys B888, 92 (2014); Int. J. Mod. Phys. A29,
1450159 (2014); Phys. Lett. B739, 110 (2014); Int. J. Mod. Phys. A30, 1550021
(2015) and extend the class of finite BRST-antiBRST transformations with
odd-valued parameters $\lambda_{a}$, $a=1,2$, introduced in these works. In
doing so, we evaluate the Jacobians induced by finite BRST-antiBRST
transformations linear in functionally-dependent parameters, as well as those
induced by finite BRST-antiBRST transformations with arbitrary functional
parameters. The calculations cover the cases of gauge theories with a closed
algebra, dynamical systems with first-class constraints, and general gauge
theories. The resulting Jacobians in the case of linearized transformations are
different from those in the case of polynomial dependence on the parameters.
Finite BRST-antiBRST transformations with arbitrary parameters induce an extra
contribution to the quantum action, which cannot be absorbed into a change of
the gauge. These transformations include an extended case of
functionally-dependent parameters that implies a modified compensation
equation, which admits non-trivial solutions leading to a Jacobian equal to
unity. Finite BRST-antiBRST transformations with functionally-dependent
parameters are applied to the Standard Model, and an explicit form of
functionally-dependent parameters $\lambda_{a}$ is obtained, providing the
equivalence of path integrals in any $3$-parameter $R_{\boldsymbol{\xi}}$-like
gauges. The Gribov--Zwanziger theory is extended to the case of the Standard
Model, and a form of the Gribov horizon functional is suggested in the Landau
gauge, as well as in $R_{\boldsymbol{\xi}}$-like gauges, in a gauge-independent
way using field-dependent BRST-antiBRST transformations, and in
$R_{\boldsymbol{\xi}}$-like gauges using transverse-like non-Abelian gauge
fields.
| [
{
"created": "Mon, 15 Jun 2015 16:35:37 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Jun 2015 17:11:09 GMT",
"version": "v2"
},
{
"created": "Thu, 5 Nov 2015 16:15:01 GMT",
"version": "v3"
}
] | 2016-07-14 | [
[
"Moshin",
"Pavel Yu.",
""
],
[
"Reshetnyak",
"Alexander A.",
""
]
] | We continue our research Nucl.Phys B888, 92 (2014); Int. J. Mod. Phys. A29, 1450159 (2014); Phys. Lett. B739, 110 (2014); Int. J. Mod. Phys. A30, 1550021 (2015) and extend the class of finite BRST-antiBRST transformations with odd-valued parameters $\lambda_{a}$, $a=1,2$, introduced in these works. In doing so, we evaluate the Jacobians induced by finite BRST-antiBRST transformations linear in functionally-dependent parameters, as well as those induced by finite BRST-antiBRST transformations with arbitrary functional parameters. The calculations cover the cases of gauge theories with a closed algebra, dynamical systems with first-class constraints, and general gauge theories. The resulting Jacobians in the case of linearized transformations are different from those in the case of polynomial dependence on the parameters. Finite BRST-antiBRST transformations with arbitrary parameters induce an extra contribution to the quantum action, which cannot be absorbed into a change of the gauge. These transformations include an extended case of functionally-dependent parameters that implies a modified compensation equation, which admits non-trivial solutions leading to a Jacobian equal to unity. Finite BRST-antiBRST transformations with functionally-dependent parameters are applied to the Standard Model, and an explicit form of functionally-dependent parameters $\lambda_{a}$ is obtained, providing the equivalence of path integrals in any $3$-parameter $R_{\boldsymbol{\xi}}$-like gauges. The Gribov--Zwanziger theory is extended to the case of the Standard Model, and a form of the Gribov horizon functional is suggested in the Landau gauge, as well as in $R_{\boldsymbol{\xi}}$-like gauges, in a gauge-independent way using field-dependent BRST-antiBRST transformations, and in $R_{\boldsymbol{\xi}}$-like gauges using transverse-like non-Abelian gauge fields. |
1003.0678 | Carlos Mafra | Humberto Gomez and Carlos R. Mafra | The Overall Coefficient of the Two-loop Superstring Amplitude Using Pure
Spinors | 29 pages, harvmac TeX. v2: add references | null | 10.1007/JHEP05(2010)017 | AEI-2010-034 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the results recently obtained for computing integrals over
(non-minimal) pure spinor superspace, we compute the coefficient of the
massless two-loop four-point amplitude from first principles. Contrasting with
the mathematical difficulties in the RNS formalism where unknown normalizations
of chiral determinant formulae force the two-loop coefficient to be determined
only indirectly through factorization, the computation in the pure spinor
formalism can be smoothly carried out.
| [
{
"created": "Tue, 2 Mar 2010 21:05:00 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Mar 2010 10:02:17 GMT",
"version": "v2"
}
] | 2015-05-18 | [
[
"Gomez",
"Humberto",
""
],
[
"Mafra",
"Carlos R.",
""
]
] | Using the results recently obtained for computing integrals over (non-minimal) pure spinor superspace, we compute the coefficient of the massless two-loop four-point amplitude from first principles. Contrasting with the mathematical difficulties in the RNS formalism where unknown normalizations of chiral determinant formulae force the two-loop coefficient to be determined only indirectly through factorization, the computation in the pure spinor formalism can be smoothly carried out. |
1104.4303 | Yongqiang Wang | Yong-Qiang Wang, Yu-Xiao Liu, Zhen-Hua Zhao | Holographic Josephson Junction in 3+1 dimensions | 8 pages, 4 figures | null | null | null | hep-th cond-mat.str-el gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In arXiv:1101.3326[hep-th], a (2+1)-dimensional holographic Josephson
junction was constructed, and it was shown that the DC Josephson current is
proportional to the sine of the phase difference across the junction. In this
paper, we extend this study to a holographic description for the
(3+1)-dimensional holographic DC Josephson junction. By solving numerically the
coupled differential equations, we also obtain the familiar characteristics of
Josephson junctions.
| [
{
"created": "Thu, 21 Apr 2011 16:18:34 GMT",
"version": "v1"
}
] | 2011-04-22 | [
[
"Wang",
"Yong-Qiang",
""
],
[
"Liu",
"Yu-Xiao",
""
],
[
"Zhao",
"Zhen-Hua",
""
]
] | In arXiv:1101.3326[hep-th], a (2+1)-dimensional holographic Josephson junction was constructed, and it was shown that the DC Josephson current is proportional to the sine of the phase difference across the junction. In this paper, we extend this study to a holographic description for the (3+1)-dimensional holographic DC Josephson junction. By solving numerically the coupled differential equations, we also obtain the familiar characteristics of Josephson junctions. |
hep-th/9801012 | Choon-Lin Ho | V.R. Khalilov and Choon-Lin Ho | Dirac electron in a Coulomb Field in 2+1 Dimensions | 11 pages, RevTex | Mod.Phys.Lett. A13 (1998) 615-622 | 10.1142/S0217732398000668 | null | hep-th | null | Exact solutions of Dirac equation in two spatial dimensions in the Coulomb
field are obtained. Equation which determines the so-called critical charge of
the Coulomb field is derived and solved for a simple model.
| [
{
"created": "Mon, 5 Jan 1998 11:27:40 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Khalilov",
"V. R.",
""
],
[
"Ho",
"Choon-Lin",
""
]
] | Exact solutions of Dirac equation in two spatial dimensions in the Coulomb field are obtained. Equation which determines the so-called critical charge of the Coulomb field is derived and solved for a simple model. |
1902.04654 | Jonah Kudler-Flam | Jonah Kudler-Flam and Ian MacCormack and Shinsei Ryu | Holographic entanglement contour, bit threads, and the entanglement
tsunami | 7 pages, 4 figures; v2: typos corrected and references added to match
published version in J. Phys. A | J. Phys. A: Math. Theor. 52 (2019) 325401 | 10.1088/1751-8121/ab2dae | null | hep-th cond-mat.str-el quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the entanglement contour, a quasi-local measure of entanglement, and
propose a generic formula for the contour in 1+1d quantum systems. We use this
formalism to investigate the real space entanglement structure of various
static CFTs as well as local and global quantum quenches. The global quench
elucidates the spatial distribution of entanglement entropy in strongly
interacting CFTs and clarifies the interpretation of the entanglement tsunami
picture. The entanglement tsunami effectively characterizes the non-local
growth of entanglement entropy while the contour characterizes the local
propagation of entanglement. We generalize the formula for the entanglement
contour to arbitrary dimensions and entangling surface geometries using bit
threads, and are able to realize a holographic contour for logarithmic
negativity and the entanglement of purification by restricting the bulk
spacetime to the entanglement wedge. Furthermore, we explore the connections
between the entanglement contour, bit threads, and entanglement density in
kinematic space.
| [
{
"created": "Tue, 12 Feb 2019 22:04:20 GMT",
"version": "v1"
},
{
"created": "Sun, 30 Jun 2019 07:17:32 GMT",
"version": "v2"
}
] | 2019-07-18 | [
[
"Kudler-Flam",
"Jonah",
""
],
[
"MacCormack",
"Ian",
""
],
[
"Ryu",
"Shinsei",
""
]
] | We study the entanglement contour, a quasi-local measure of entanglement, and propose a generic formula for the contour in 1+1d quantum systems. We use this formalism to investigate the real space entanglement structure of various static CFTs as well as local and global quantum quenches. The global quench elucidates the spatial distribution of entanglement entropy in strongly interacting CFTs and clarifies the interpretation of the entanglement tsunami picture. The entanglement tsunami effectively characterizes the non-local growth of entanglement entropy while the contour characterizes the local propagation of entanglement. We generalize the formula for the entanglement contour to arbitrary dimensions and entangling surface geometries using bit threads, and are able to realize a holographic contour for logarithmic negativity and the entanglement of purification by restricting the bulk spacetime to the entanglement wedge. Furthermore, we explore the connections between the entanglement contour, bit threads, and entanglement density in kinematic space. |
1003.1625 | Bo-Qiang Ma | Xiao-Gang He, Bo-Qiang Ma | Black Holes and Photons with Entropic Force | 4 Latex pages, no figure. | Chin.Phys.Lett.27:070402, 2010 | 10.1088/0256-307X/27/7/070402 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study entropic force effects on black holes and photons. We find that
application of an entropic analysis restricts the radial change $\Delta R$ of a
black hole of radius $R_{\mathrm{H}}$, due to a test particle of a
Schwartzchild radius $R_{h}$ moving towards the black hole by $\Delta x$ near
black body surface, to be given by a relation $R_{\mathrm{H}} \Delta R= R_h
\Delta x/2$, or ${\Delta R}/{\lambdabar_M} = {\Delta x}/{2 \lambdabar_m}$. We
suggest a new rule regarding entropy changes in different dimensions, $\Delta
S= 2\pi k D \Delta l /\lambdabar,$ which unifies Verlinde's conjecture and the
black hole entropy formula. We also propose to extend the entropic force idea
to massless particles such as a photon. We find that there is an entropic force
on a photon of energy $E_\gamma$, with $F=G M m_{\gamma}/R^2$, and therefore
the photon has an effective gravitational mass $m_\gamma = E_\gamma/c^2$.
| [
{
"created": "Mon, 8 Mar 2010 13:41:35 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Mar 2010 02:31:15 GMT",
"version": "v2"
}
] | 2015-05-18 | [
[
"He",
"Xiao-Gang",
""
],
[
"Ma",
"Bo-Qiang",
""
]
] | We study entropic force effects on black holes and photons. We find that application of an entropic analysis restricts the radial change $\Delta R$ of a black hole of radius $R_{\mathrm{H}}$, due to a test particle of a Schwartzchild radius $R_{h}$ moving towards the black hole by $\Delta x$ near black body surface, to be given by a relation $R_{\mathrm{H}} \Delta R= R_h \Delta x/2$, or ${\Delta R}/{\lambdabar_M} = {\Delta x}/{2 \lambdabar_m}$. We suggest a new rule regarding entropy changes in different dimensions, $\Delta S= 2\pi k D \Delta l /\lambdabar,$ which unifies Verlinde's conjecture and the black hole entropy formula. We also propose to extend the entropic force idea to massless particles such as a photon. We find that there is an entropic force on a photon of energy $E_\gamma$, with $F=G M m_{\gamma}/R^2$, and therefore the photon has an effective gravitational mass $m_\gamma = E_\gamma/c^2$. |
2302.13894 | Jaime Calder\'on Figueroa | Suddhasattwa Brahma, Jaime Calder\'on-Figueroa, Moatasem Hassan, and
Xuan Mi | Momentum-space entanglement entropy in de Sitter | 19 pages, 4 figures | null | null | null | hep-th astro-ph.CO gr-qc | http://creativecommons.org/licenses/by/4.0/ | We study the momentum-space entanglement between the sub- and super-Hubble
modes of a spectator scalar field, with a cubic $\lambda \phi^3$ interaction,
in de Sitter space. Momentum-space entanglement has some universal properties
for any interacting quantum field theory, and we examine them for this specific
curved background using the Hubble scale as a natural delimiter to define UV/IR
separation. We show that there are several new subtleties when generalising
flat space results due to having a time-dependent interaction term and a
non-trivial vacuum state. Our main finding is that the momentum-space
entanglement entropy in de Sitter space grows very rapidly, supporting previous
similar results for cosmological perturbations [1], which leads to interesting
new questions.
| [
{
"created": "Mon, 27 Feb 2023 15:38:24 GMT",
"version": "v1"
}
] | 2023-02-28 | [
[
"Brahma",
"Suddhasattwa",
""
],
[
"Calderón-Figueroa",
"Jaime",
""
],
[
"Hassan",
"Moatasem",
""
],
[
"Mi",
"Xuan",
""
]
] | We study the momentum-space entanglement between the sub- and super-Hubble modes of a spectator scalar field, with a cubic $\lambda \phi^3$ interaction, in de Sitter space. Momentum-space entanglement has some universal properties for any interacting quantum field theory, and we examine them for this specific curved background using the Hubble scale as a natural delimiter to define UV/IR separation. We show that there are several new subtleties when generalising flat space results due to having a time-dependent interaction term and a non-trivial vacuum state. Our main finding is that the momentum-space entanglement entropy in de Sitter space grows very rapidly, supporting previous similar results for cosmological perturbations [1], which leads to interesting new questions. |
1803.00556 | Sung-Sik Lee | Sung-Sik Lee | Emergent gravity from relatively local Hamiltonians and a possible
resolution of the black hole information puzzle | 66 pages, 19 figures; v4) minor typos corrected | J. High Energ. Phys. (2018) 2018: 43 | 10.1007/JHEP10(2018)043 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we study a possibility where gravity and time emerge from
quantum matter. Within the Hilbert space of matter fields defined on a spatial
manifold, we consider a sub-Hilbert space spanned by states which are
parameterized by spatial metric. In those states, metric is introduced as a
collective variable that controls local structures of entanglement. The
underlying matter fields endow the states labeled by metric with an unambiguous
inner product. Then we construct a Hamiltonian for the matter fields that is an
endomorphism of the sub-Hilbert space, thereby inducing a quantum Hamiltonian
of the metric. It is shown that there exists a matter Hamiltonian that induces
the general relativity in the semi-classical field theory limit. Although the
Hamiltonian is not local in the absolute sense, it has a weaker notion of
locality, called relative locality : the range of interactions is set by the
entanglement present in target states on which the Hamiltonian acts. In
general, normalizable states are not invariant under the transformations
generated by the Hamiltonian. As a result, a physical state spontaneously
breaks the Hamiltonian constraint, and picks a moment of time. The subsequent
flow of time can be understood as a Goldstone mode associated with the broken
symmetry. The construction allows one to study dynamics of gravity from the
perspective of matter fields. The Hawking radiation corresponds to a unitary
evolution where entanglement across horizon is gradually transferred from color
degrees of freedom to singlet degrees of freedom. The underlying quantum states
remain pure as evaporating black holes keep entanglement with early Hawking
radiations in the singlet sector which is not captured by the
Bekenstein-Hawking entropy.
| [
{
"created": "Thu, 1 Mar 2018 18:55:17 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Apr 2018 04:01:48 GMT",
"version": "v2"
},
{
"created": "Tue, 10 Jul 2018 14:39:53 GMT",
"version": "v3"
},
{
"created": "Sun, 7 Oct 2018 03:32:14 GMT",
"version": "v4"
}
] | 2018-10-09 | [
[
"Lee",
"Sung-Sik",
""
]
] | In this paper, we study a possibility where gravity and time emerge from quantum matter. Within the Hilbert space of matter fields defined on a spatial manifold, we consider a sub-Hilbert space spanned by states which are parameterized by spatial metric. In those states, metric is introduced as a collective variable that controls local structures of entanglement. The underlying matter fields endow the states labeled by metric with an unambiguous inner product. Then we construct a Hamiltonian for the matter fields that is an endomorphism of the sub-Hilbert space, thereby inducing a quantum Hamiltonian of the metric. It is shown that there exists a matter Hamiltonian that induces the general relativity in the semi-classical field theory limit. Although the Hamiltonian is not local in the absolute sense, it has a weaker notion of locality, called relative locality : the range of interactions is set by the entanglement present in target states on which the Hamiltonian acts. In general, normalizable states are not invariant under the transformations generated by the Hamiltonian. As a result, a physical state spontaneously breaks the Hamiltonian constraint, and picks a moment of time. The subsequent flow of time can be understood as a Goldstone mode associated with the broken symmetry. The construction allows one to study dynamics of gravity from the perspective of matter fields. The Hawking radiation corresponds to a unitary evolution where entanglement across horizon is gradually transferred from color degrees of freedom to singlet degrees of freedom. The underlying quantum states remain pure as evaporating black holes keep entanglement with early Hawking radiations in the singlet sector which is not captured by the Bekenstein-Hawking entropy. |
1512.00208 | Hideki Kyono | Hideki Kyono, Jun-ichi Sakamoto and Kentaroh Yoshida | Lax pairs for deformed Minkowski spacetimes | 29 pages | null | 10.1007/JHEP01(2016)143 | KUNS-2599 | hep-th math-ph math.MP nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We proceed to study Yang-Baxter deformations of 4D Minkowski spacetime based
on a conformal embedding. We first revisit a Melvin background and argue a Lax
pair by adopting a simple replacement law invented in 1509.00173. This argument
enables us to deduce a general expression of Lax pair. Then the anticipated Lax
pair is shown to work for arbitrary classical $r$-matrices with Poinca\'e
generators. As other examples, we present Lax pairs for pp-wave backgrounds,
the Hashimoto-Sethi background, the Spradlin-Takayanagi-Volovich background.
| [
{
"created": "Tue, 1 Dec 2015 10:29:57 GMT",
"version": "v1"
}
] | 2016-03-23 | [
[
"Kyono",
"Hideki",
""
],
[
"Sakamoto",
"Jun-ichi",
""
],
[
"Yoshida",
"Kentaroh",
""
]
] | We proceed to study Yang-Baxter deformations of 4D Minkowski spacetime based on a conformal embedding. We first revisit a Melvin background and argue a Lax pair by adopting a simple replacement law invented in 1509.00173. This argument enables us to deduce a general expression of Lax pair. Then the anticipated Lax pair is shown to work for arbitrary classical $r$-matrices with Poinca\'e generators. As other examples, we present Lax pairs for pp-wave backgrounds, the Hashimoto-Sethi background, the Spradlin-Takayanagi-Volovich background. |
1909.00960 | Markus A. Luty | Mario D'Andrea, Markus A. Luty, Christopher B. Verhaaren | Radiation reaction, over-reaction, and under-reaction | 21 pages | null | null | null | hep-th physics.class-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The subject of radiation reaction in classical electromagnetism remains
controversial over 120 years after the pioneering work of Lorentz. We give a
simple but rigorous treatment of the subject at the textbook level that
explains the apparent paradoxes that are much discussed in the literature on
the subject. We first derive the equation of motion of a charged particle from
conservation of energy and momentum, which includes the self-force term. We
then show that this theory is unstable if charged particles are pointlike: the
energy is unbounded from below, and charged particles self-accelerate
(`over-react') due to their negative `bare' mass. This theory clearly does not
describe our world, but we show that these instabilities are absent if the
particle has a finite size larger than its classical radius. For such
finite-size charged particles, the effects of radiation reaction can be
computed in a systematic expansion in the size of the particle. The leading
term in this expansion is the reduced-order Abraham-Lorentz equation of motion,
which has no stability problems. We also discuss the apparent paradox that a
particle with constant acceleration radiates, but does not suffer radiation
reaction (`under-reaction'). Along the way, we introduce the ideas of
renormalization and effective theories, which are important in many areas of
modern theoretical physics. We hope that this will be a useful addition to the
literature that will remove some of the air of mystery and paradox surrounding
the subject.
| [
{
"created": "Tue, 3 Sep 2019 05:36:41 GMT",
"version": "v1"
}
] | 2019-09-04 | [
[
"D'Andrea",
"Mario",
""
],
[
"Luty",
"Markus A.",
""
],
[
"Verhaaren",
"Christopher B.",
""
]
] | The subject of radiation reaction in classical electromagnetism remains controversial over 120 years after the pioneering work of Lorentz. We give a simple but rigorous treatment of the subject at the textbook level that explains the apparent paradoxes that are much discussed in the literature on the subject. We first derive the equation of motion of a charged particle from conservation of energy and momentum, which includes the self-force term. We then show that this theory is unstable if charged particles are pointlike: the energy is unbounded from below, and charged particles self-accelerate (`over-react') due to their negative `bare' mass. This theory clearly does not describe our world, but we show that these instabilities are absent if the particle has a finite size larger than its classical radius. For such finite-size charged particles, the effects of radiation reaction can be computed in a systematic expansion in the size of the particle. The leading term in this expansion is the reduced-order Abraham-Lorentz equation of motion, which has no stability problems. We also discuss the apparent paradox that a particle with constant acceleration radiates, but does not suffer radiation reaction (`under-reaction'). Along the way, we introduce the ideas of renormalization and effective theories, which are important in many areas of modern theoretical physics. We hope that this will be a useful addition to the literature that will remove some of the air of mystery and paradox surrounding the subject. |
hep-th/0611122 | Ricardo Schiappa | Lorenzo Cornalba, Miguel S. Costa, Joao Penedones, Ricardo Schiappa | Eikonal Approximation in AdS/CFT: From Shock Waves to Four-Point
Functions | JHEP3.cls, 34 pages, 10 figures; v2: added paragraph, footnote +
reference, minor changes | JHEP 0708:019,2007 | 10.1088/1126-6708/2007/08/019 | ROM2F/2006/25, LPTENS-06/49, CERN-PH-TH/2006-233 | hep-th hep-ph | null | We initiate a program to generalize the standard eikonal approximation to
compute amplitudes in Anti-de Sitter spacetimes. Inspired by the shock wave
derivation of the eikonal amplitude in flat space, we study the two-point
function E ~ < O_1 O_1 >_{shock} in the presence of a shock wave in Anti-de
Sitter, where O_1 is a scalar primary operator in the dual conformal field
theory. At tree level in the gravitational coupling, we relate the shock
two-point function E to the discontinuity across a kinematical branch cut of
the conformal field theory four-point function A ~ < O_1 O_2 O_1 O_2 >, where
O_2 creates the shock geometry in Anti-de Sitter. Finally, we extend the above
results by computing E in the presence of shock waves along the horizon of
Schwarzschild BTZ black holes. This work gives new tools for the study of
Planckian physics in Anti-de Sitter spacetimes.
| [
{
"created": "Fri, 10 Nov 2006 20:19:33 GMT",
"version": "v1"
},
{
"created": "Tue, 29 May 2007 12:08:50 GMT",
"version": "v2"
}
] | 2010-10-27 | [
[
"Cornalba",
"Lorenzo",
""
],
[
"Costa",
"Miguel S.",
""
],
[
"Penedones",
"Joao",
""
],
[
"Schiappa",
"Ricardo",
""
]
] | We initiate a program to generalize the standard eikonal approximation to compute amplitudes in Anti-de Sitter spacetimes. Inspired by the shock wave derivation of the eikonal amplitude in flat space, we study the two-point function E ~ < O_1 O_1 >_{shock} in the presence of a shock wave in Anti-de Sitter, where O_1 is a scalar primary operator in the dual conformal field theory. At tree level in the gravitational coupling, we relate the shock two-point function E to the discontinuity across a kinematical branch cut of the conformal field theory four-point function A ~ < O_1 O_2 O_1 O_2 >, where O_2 creates the shock geometry in Anti-de Sitter. Finally, we extend the above results by computing E in the presence of shock waves along the horizon of Schwarzschild BTZ black holes. This work gives new tools for the study of Planckian physics in Anti-de Sitter spacetimes. |
hep-th/0410163 | Poul Damgaard | T. Andersson, P.H. Damgaard and K. Splittorff | The Replica Method and Toda Lattice Equations for QCD_3 | 18 pages, 2 figures | Nucl.Phys. B707 (2005) 509-528 | 10.1016/j.nuclphysb.2004.11.051 | null | hep-th | null | We consider the epsilon-regime of QCD in 3 dimensions. It is shown that the
leading term of the effective partition function satisfies a set of Toda
lattice equations, recursive in the number of flavors. Taking the replica limit
of these Toda equations allows us to derive the microscopic spectral
correlation functions for the QCD Dirac operator in 3 dimensions. For an even
number of flavors we reproduce known results derived using other techniques. In
the case of an odd number of flavors the theory has a severe sign problem, and
we obtain previously unknown microscopic spectral correlation functions.
| [
{
"created": "Thu, 14 Oct 2004 09:37:17 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Oct 2004 11:17:20 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Andersson",
"T.",
""
],
[
"Damgaard",
"P. H.",
""
],
[
"Splittorff",
"K.",
""
]
] | We consider the epsilon-regime of QCD in 3 dimensions. It is shown that the leading term of the effective partition function satisfies a set of Toda lattice equations, recursive in the number of flavors. Taking the replica limit of these Toda equations allows us to derive the microscopic spectral correlation functions for the QCD Dirac operator in 3 dimensions. For an even number of flavors we reproduce known results derived using other techniques. In the case of an odd number of flavors the theory has a severe sign problem, and we obtain previously unknown microscopic spectral correlation functions. |
1701.01864 | Paolo Benincasa | Paolo Benincasa, Suresh Nampuri | An SLE approach to four dimensional black hole microstate entropy | 31 pages, 3 figures | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note, we model the Bekenstein-Hawking entropy of a four dimensional
extremal black hole in terms of classifying particles moving in its near
horizon AdS_2 geometry. We use the framework of SLE curves in AdS_2 to classify
these particle trajectories in terms of their boundary conditions. These turn
out to be related to singular vectors in two-dimensional conformal quantum
gravity theory in AdS_2 and the dynamics of these particles are governed by the
Hamiltonians of the integrable Calogero-like models, for these boundary
conditions. We use this classification to count the leading order
Bekenstein-Hawking entropy of the black hole and arrive at a first principle
microscopic computation of black hole degeneracy.
| [
{
"created": "Sat, 7 Jan 2017 18:27:47 GMT",
"version": "v1"
}
] | 2017-01-10 | [
[
"Benincasa",
"Paolo",
""
],
[
"Nampuri",
"Suresh",
""
]
] | In this note, we model the Bekenstein-Hawking entropy of a four dimensional extremal black hole in terms of classifying particles moving in its near horizon AdS_2 geometry. We use the framework of SLE curves in AdS_2 to classify these particle trajectories in terms of their boundary conditions. These turn out to be related to singular vectors in two-dimensional conformal quantum gravity theory in AdS_2 and the dynamics of these particles are governed by the Hamiltonians of the integrable Calogero-like models, for these boundary conditions. We use this classification to count the leading order Bekenstein-Hawking entropy of the black hole and arrive at a first principle microscopic computation of black hole degeneracy. |
0707.0499 | Syksy Rasanen | Francesc Ferrer, Syksy Rasanen | Lovelock inflation and the number of large dimensions | 16 pages, 1 figure. v2: published version, added clarifications | JHEP 0711:003,2007 | 10.1088/1126-6708/2007/11/003 | CERN-PH-TH/2007-113 | hep-th astro-ph gr-qc hep-ph | null | We discuss an inflationary scenario based on Lovelock terms. These higher
order curvature terms can lead to inflation when there are more than three
spatial dimensions. Inflation will end if the extra dimensions are stabilised,
so that at most three dimensions are free to expand. This relates graceful exit
to the number of large dimensions.
| [
{
"created": "Wed, 4 Jul 2007 17:01:53 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Nov 2007 13:42:28 GMT",
"version": "v2"
}
] | 2010-02-03 | [
[
"Ferrer",
"Francesc",
""
],
[
"Rasanen",
"Syksy",
""
]
] | We discuss an inflationary scenario based on Lovelock terms. These higher order curvature terms can lead to inflation when there are more than three spatial dimensions. Inflation will end if the extra dimensions are stabilised, so that at most three dimensions are free to expand. This relates graceful exit to the number of large dimensions. |
hep-th/9705062 | Sayan Kar | Sayan Kar | A note on the Einstein equation in string theory | 12 pages, RevTex, no figures | Mod.Phys.Lett.A16:143-150,2001 | 10.1142/S0217732301003176 | IUCAA--97/36 | hep-th gr-qc | null | We show, using purely classical considerations and logical extrapolation of
results belonging to point particle theories, that the metric background field
in which a string propagates must satisfy an Einstein or an Einstein-like
equation. Additionally, there emerge restrictions on the worldsheet curvature,
which seems to act as a source for spacetime gravity, even in the absence of
other matter fields.
| [
{
"created": "Sat, 10 May 1997 06:03:15 GMT",
"version": "v1"
}
] | 2010-10-27 | [
[
"Kar",
"Sayan",
""
]
] | We show, using purely classical considerations and logical extrapolation of results belonging to point particle theories, that the metric background field in which a string propagates must satisfy an Einstein or an Einstein-like equation. Additionally, there emerge restrictions on the worldsheet curvature, which seems to act as a source for spacetime gravity, even in the absence of other matter fields. |
hep-th/9310062 | Francesco Toppan | E. Ivanov and F. Toppan | Superhamiltonian formalism for $2D$ $N=1,2$ theories | 15 pages, latex, ENSLAPP/L/433/93 | Mod.Phys.Lett. A9 (1994) 51-66 | 10.1142/S0217732394000071 | null | hep-th | null | We show how to formulate $2$-dimensional supersymmetric $N=1,2$ theories,
both massive and conformal, within a manifestly supersymmetric hamiltonian
framework, via the introduction of a (super)-Poisson brackets structure defined
on superfields. In this approach, as distinct from the previously known
superfield hamiltonian formulations, the dynamics is not separated into two
unrelated $2D$ light-cone superspaces, but is recovered by specifying boundary
conditions at a given ``super-time" coordinate. So the approach proposed
provides a natural generalization of canonical hamiltonian formalism. One of
its interesting features is that the physical and auxiliary fields equations
appear on equal footing as the Hamilton ones.
| [
{
"created": "Tue, 12 Oct 1993 11:38:13 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Ivanov",
"E.",
""
],
[
"Toppan",
"F.",
""
]
] | We show how to formulate $2$-dimensional supersymmetric $N=1,2$ theories, both massive and conformal, within a manifestly supersymmetric hamiltonian framework, via the introduction of a (super)-Poisson brackets structure defined on superfields. In this approach, as distinct from the previously known superfield hamiltonian formulations, the dynamics is not separated into two unrelated $2D$ light-cone superspaces, but is recovered by specifying boundary conditions at a given ``super-time" coordinate. So the approach proposed provides a natural generalization of canonical hamiltonian formalism. One of its interesting features is that the physical and auxiliary fields equations appear on equal footing as the Hamilton ones. |
2307.16209 | Jo\~ao Paulo Cavalcante | Jo\~ao Paulo Cavalcante | Isomonodromy Method and Black Holes Quasinormal Modes: numerical results
and extremal limit analysis | 147 pages, 21 figures, 12 tables | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this thesis, we present and apply the isomonodromy method (or
isomonodromic method) to the study of quasinormal modes (QNMs), more precisely,
we consider the analysis of modes that are associated with linear perturbations
in two distinct four-dimensional black holes one with angular momentum (Kerr)
and one with charge (Reissner-Nordstr\"om). We show, using the method, that the
quasinormal mode frequencies for both black holes can be analyzed with high
numerical accuracy and, for certain regimes, even analytically. We also
explore, by means of the equations involved, the regime in which both black
holes become extremal. We reveal for this case that through the isomonodromic
method, it is possible to calculate with good accuracy the values for the
quasinormal frequencies associated with gravitational, scalar, and
electromagnetic perturbations in the black hole with angular momentum, as well
as spinorial and scalar perturbations in the charged black hole. Extending thus
the analysis of the QNMs in the regime in which the methods used in the
literature have generally convergence problems.
| [
{
"created": "Sun, 30 Jul 2023 12:10:05 GMT",
"version": "v1"
}
] | 2023-08-01 | [
[
"Cavalcante",
"João Paulo",
""
]
] | In this thesis, we present and apply the isomonodromy method (or isomonodromic method) to the study of quasinormal modes (QNMs), more precisely, we consider the analysis of modes that are associated with linear perturbations in two distinct four-dimensional black holes one with angular momentum (Kerr) and one with charge (Reissner-Nordstr\"om). We show, using the method, that the quasinormal mode frequencies for both black holes can be analyzed with high numerical accuracy and, for certain regimes, even analytically. We also explore, by means of the equations involved, the regime in which both black holes become extremal. We reveal for this case that through the isomonodromic method, it is possible to calculate with good accuracy the values for the quasinormal frequencies associated with gravitational, scalar, and electromagnetic perturbations in the black hole with angular momentum, as well as spinorial and scalar perturbations in the charged black hole. Extending thus the analysis of the QNMs in the regime in which the methods used in the literature have generally convergence problems. |
hep-th/9911153 | Pei-Ming Ho | Chong-Sun Chu, Pei-Ming Ho and Miao Li | Matrix Theory in a Constant C Field Background | harvmac, 17 pages, references added | Nucl.Phys. B574 (2000) 275-287 | 10.1016/S0550-3213(00)00048-1 | NEIP-99-017 | hep-th | null | D0-branes moving in a constant antisymmetric C field are found to be
described by quantum mechanics of the supersymmetric matrix model with a
similarity transformation. Sometimes this similarity transformation is singular
or ill-defined and cannot be ignored. As an example, when there are
non-vanishing C_{-ij} components, we obtain the theory for Dp-branes which is
effectively the noncommutative super Yang-Mills theory. We also briefly discuss
the effects of other non-vanishing components such as C_{+ij} and C_{ijk}.
| [
{
"created": "Fri, 19 Nov 1999 09:01:07 GMT",
"version": "v1"
},
{
"created": "Sat, 4 Dec 1999 16:27:18 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Chu",
"Chong-Sun",
""
],
[
"Ho",
"Pei-Ming",
""
],
[
"Li",
"Miao",
""
]
] | D0-branes moving in a constant antisymmetric C field are found to be described by quantum mechanics of the supersymmetric matrix model with a similarity transformation. Sometimes this similarity transformation is singular or ill-defined and cannot be ignored. As an example, when there are non-vanishing C_{-ij} components, we obtain the theory for Dp-branes which is effectively the noncommutative super Yang-Mills theory. We also briefly discuss the effects of other non-vanishing components such as C_{+ij} and C_{ijk}. |
hep-th/9410121 | John A. Gracey | J.A. Gracey | O(1/N^3) Conformal Bootstrap Solution of the SU(2) x SU(2)
Nambu--Jona-Lasinio Model | 11 (latex) pages, 2 figures (available from author on request) | Phys.Lett. B342 (1995) 297-302 | 10.1016/0370-2693(94)01355-G | null | hep-th | null | Using the full conformal bootstrap method an analytic expression is given in
d-dimensions for the anomalous dimension of the fermion at O(1/N^3) in a large
N expansion of the Nambu--Jona-Lasinio model with SU(2) x SU(2) continuous
chiral symmetry.
| [
{
"created": "Tue, 18 Oct 1994 13:48:56 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Gracey",
"J. A.",
""
]
] | Using the full conformal bootstrap method an analytic expression is given in d-dimensions for the anomalous dimension of the fermion at O(1/N^3) in a large N expansion of the Nambu--Jona-Lasinio model with SU(2) x SU(2) continuous chiral symmetry. |
hep-th/9910088 | Dubin Andrey Yurievich | Andrey Dubin | A Candidate for Solvable Large N Lattice Gauge Theory in D>2 | 46 pages | null | null | null | hep-th hep-lat hep-ph | null | I propose a class of D\geq{2} lattice SU(N) gauge theories dual to certain
vector models endowed with the local [U(N)]^{D} conjugation-invariance and
Z_{N} gauge symmetry. In the latter models, both the partitition function and
Wilson loop observables depend nontrivially only on the eigenvalues of the
link-variables. Therefore, the vector-model facilitates a master-field
representation of the large N loop-averages in the corresponding induced gauge
system. As for the partitition function, in the limit N->{infinity} it is
reduced to the 2Dth power of an effective one-matrix eigenvalue-model which
makes the associated phase structure accessible. In particular a simple
scaling-condition, that ensures the proper continuum limit of the induced gauge
theory, is proposed. We also derive a closed expression for the large N average
of a generic nonself-intersecting Wilson loop in the D=2 theory defined on an
arbitrary 2d surface.
| [
{
"created": "Mon, 11 Oct 1999 15:52:48 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Dubin",
"Andrey",
""
]
] | I propose a class of D\geq{2} lattice SU(N) gauge theories dual to certain vector models endowed with the local [U(N)]^{D} conjugation-invariance and Z_{N} gauge symmetry. In the latter models, both the partitition function and Wilson loop observables depend nontrivially only on the eigenvalues of the link-variables. Therefore, the vector-model facilitates a master-field representation of the large N loop-averages in the corresponding induced gauge system. As for the partitition function, in the limit N->{infinity} it is reduced to the 2Dth power of an effective one-matrix eigenvalue-model which makes the associated phase structure accessible. In particular a simple scaling-condition, that ensures the proper continuum limit of the induced gauge theory, is proposed. We also derive a closed expression for the large N average of a generic nonself-intersecting Wilson loop in the D=2 theory defined on an arbitrary 2d surface. |
0710.0613 | Krzysztof Turzynski | Z. Lalak and K. Turzynski | Back-door fine-tuning in supersymmetric low scale inflation | 10p | Phys.Lett.B659:669-675,2008 | 10.1016/j.physletb.2007.11.048 | null | hep-th | null | Low scale inflation has many virtues and it has been claimed that its natural
realisation in supersymmetric standard model can be achieved rather easily. In
this letter we have demonstrated that also in this case the dynamics of the
hidden sector responsible for supersymmetry breakdown and the structure of the
soft terms affects significantly, and in fact often spoils, the would-be
inflationary dynamics. Also, we point out that the issue if the cosmological
constant cancellation in the post-inflationary vacuum strongly affects
supersymmetric inflation. It is important to note the crucial difference
between freezing of the modulus and actually stabilising it - the first
approach misses parts of the scalar potential which turn out to be relevant for
inflation. We argue, that it is more likely that the low scale supersymmetric
inflation occurs at a critical point at the origin in the field space than at
an inflection point away from the origin, as the necessary fine-tuning in the
second case is typically larger.
| [
{
"created": "Tue, 2 Oct 2007 19:44:56 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Lalak",
"Z.",
""
],
[
"Turzynski",
"K.",
""
]
] | Low scale inflation has many virtues and it has been claimed that its natural realisation in supersymmetric standard model can be achieved rather easily. In this letter we have demonstrated that also in this case the dynamics of the hidden sector responsible for supersymmetry breakdown and the structure of the soft terms affects significantly, and in fact often spoils, the would-be inflationary dynamics. Also, we point out that the issue if the cosmological constant cancellation in the post-inflationary vacuum strongly affects supersymmetric inflation. It is important to note the crucial difference between freezing of the modulus and actually stabilising it - the first approach misses parts of the scalar potential which turn out to be relevant for inflation. We argue, that it is more likely that the low scale supersymmetric inflation occurs at a critical point at the origin in the field space than at an inflection point away from the origin, as the necessary fine-tuning in the second case is typically larger. |
hep-th/0207050 | Mohammad Sheikh-Jabbari | Keshav Dasgupta, Mohammad M. Sheikh-Jabbari, Mark Van Raamsdonk | Protected Multiplets of M-Theory on a Plane Wave | Latex file, 30 eps figures, 42 pages. v3: Minor corrections in
section 7 | JHEP 0209:021,2002 | 10.1088/1126-6708/2002/09/021 | SU-ITP-02/29 | hep-th | null | We show that the symmetry algebra governing the interacting part of the
matrix model for M-theory on the maximally supersymmetric pp-wave is the basic
classical Lie superalgebra SU(4|2). We determine the SU(4|2) multiplets present
in the exact spectrum in the limit where \mu (the mass parameter) becomes
infinite, and find that these include infinitely many BPS multiplets. Using the
representation theory of SU(4|2), we demonstrate that some of these BPS
multiplets, including all of the vacuum states of the matrix model plus certain
infinite towers of excited states, have energies which are exactly protected
non-perturbatively for any value of \mu > 0. In the large N limit, these lead
to exact quantum states of M-theory on the pp-wave. We also show explicitly
that there are certain BPS multiplets which do receive energy corrections by
combining with other BPS multiplets to form ordinary multiplets.
| [
{
"created": "Fri, 5 Jul 2002 19:54:00 GMT",
"version": "v1"
},
{
"created": "Sun, 7 Jul 2002 19:40:41 GMT",
"version": "v2"
},
{
"created": "Wed, 10 Jul 2002 19:19:47 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Dasgupta",
"Keshav",
""
],
[
"Sheikh-Jabbari",
"Mohammad M.",
""
],
[
"Van Raamsdonk",
"Mark",
""
]
] | We show that the symmetry algebra governing the interacting part of the matrix model for M-theory on the maximally supersymmetric pp-wave is the basic classical Lie superalgebra SU(4|2). We determine the SU(4|2) multiplets present in the exact spectrum in the limit where \mu (the mass parameter) becomes infinite, and find that these include infinitely many BPS multiplets. Using the representation theory of SU(4|2), we demonstrate that some of these BPS multiplets, including all of the vacuum states of the matrix model plus certain infinite towers of excited states, have energies which are exactly protected non-perturbatively for any value of \mu > 0. In the large N limit, these lead to exact quantum states of M-theory on the pp-wave. We also show explicitly that there are certain BPS multiplets which do receive energy corrections by combining with other BPS multiplets to form ordinary multiplets. |
1409.4158 | Vardarajan Suneeta | Vardarajan Suneeta | The sausage sigma model revisited | 23 pages, 1 figure, journal version | Class. Quantum Grav. 32 (2015) 115005 | 10.1088/0264-9381/32/11/115005 | null | hep-th gr-qc math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Fateev's sausage sigma models in two and three dimensions are known to be
integrable. We study their stability under RG flow in the target space by using
results from the mathematics of Ricci flow. We show that the three dimensional
sausage is unstable, whereas the two dimensional sausage appears to be stable
at least at leading order as it approaches the sphere. We speculate that the
stability results obtained are linked to the classification of ancient
solutions to Ricci flow (i.e., sigma models which are nonperturbative in the
IR) in two and three dimensions. We also describe a class of perturbations of
the three dimensional sausage (with the same continuous symmetries) which
remarkably decouple. This indicates that there could be a new solution to RG
flow which is described at least perturbatively as a deformation of the
sausage.
| [
{
"created": "Mon, 15 Sep 2014 05:01:38 GMT",
"version": "v1"
},
{
"created": "Wed, 6 May 2015 16:11:28 GMT",
"version": "v2"
}
] | 2015-05-20 | [
[
"Suneeta",
"Vardarajan",
""
]
] | Fateev's sausage sigma models in two and three dimensions are known to be integrable. We study their stability under RG flow in the target space by using results from the mathematics of Ricci flow. We show that the three dimensional sausage is unstable, whereas the two dimensional sausage appears to be stable at least at leading order as it approaches the sphere. We speculate that the stability results obtained are linked to the classification of ancient solutions to Ricci flow (i.e., sigma models which are nonperturbative in the IR) in two and three dimensions. We also describe a class of perturbations of the three dimensional sausage (with the same continuous symmetries) which remarkably decouple. This indicates that there could be a new solution to RG flow which is described at least perturbatively as a deformation of the sausage. |
hep-th/0012068 | Brodie | John H. Brodie | D-branes in Massive IIA and Solitons in Chern-Simons Theory | 22 pages, 4 figures, harvmac, epsf, references added, sec 4.2 added | JHEP 0111:014,2001 | 10.1088/1126-6708/2001/11/014 | SLAC-PUB-8729 | hep-th | null | We investigate D2-branes and D4-branes parallel to D8-branes. The low energy
world volume theory on the branes is non-supersymmetric Chern-Simons theory. We
identify the fundamental strings as the anyons of the 2+1 Chern-Simons theory
and the D0-branes as solitons. The Chern-Simons theory with a boundary is
modeled using NS 5-branes with ending D6-branes. The brane set-up provides for
a graphical description of anomaly inflow. We also model the 4+1 Chern-Simons
theory using branes and conjecture that D4-branes with a boundary describes a
supersymmetric version of Kaplan's theory of chiral fermions.
| [
{
"created": "Fri, 8 Dec 2000 03:12:31 GMT",
"version": "v1"
},
{
"created": "Sat, 31 Mar 2001 01:19:18 GMT",
"version": "v2"
}
] | 2010-02-03 | [
[
"Brodie",
"John H.",
""
]
] | We investigate D2-branes and D4-branes parallel to D8-branes. The low energy world volume theory on the branes is non-supersymmetric Chern-Simons theory. We identify the fundamental strings as the anyons of the 2+1 Chern-Simons theory and the D0-branes as solitons. The Chern-Simons theory with a boundary is modeled using NS 5-branes with ending D6-branes. The brane set-up provides for a graphical description of anomaly inflow. We also model the 4+1 Chern-Simons theory using branes and conjecture that D4-branes with a boundary describes a supersymmetric version of Kaplan's theory of chiral fermions. |
hep-th/0402206 | Gaston Giribet | Gaston Giribet, Claudio Simeone | Liouville theory and logarithmic solutions to Knizhnik-Zamolodchikov
equation | 36 pages, no figures. Notation was clarified; version accepted for
publication | Int.J.Mod.Phys. A20 (2005) 4821-4862 | 10.1142/S0217751X05021270 | null | hep-th math-ph math.MP | null | We study a class of solutions to the SL(2,R)_k Knizhnik-Zamolodchikov
equation. First, logarithmic solutions which represent four-point correlation
functions describing string scattering processes on three-dimensional Anti-de
Sitter space are discussed. These solutions satisfy the factorization ansatz
and include logarithmic dependence on the SL(2,R)-isospin variables. Different
types of logarithmic singularities arising are classified and the
interpretation of these is discussed. The logarithms found here fit into the
usual pattern of the structure of four-point function of other examples of
AdS/CFT correspondence. Composite states arising in the intermediate channels
can be identified as the phenomena responsible for the appearance of such
singularities in the four-point correlation functions. In addition, logarithmic
solutions which are related to non perturbative (finite k) effects are found.
By means of the relation existing between four-point functions in
Wess-Zumino-Novikov-Witten model formulated on SL(2,R) and certain five-point
functions in Liouville quantum conformal field theory, we show how the
reflection symmetry of Liouville theory induces particular Z_2 symmetry
transformations on the WZNW correlators. This observation allows to find
relations between different logarithmic solutions. This Liouville description
also provides a natural explanation for the appearance of the logarithmic
singularities in terms of the operator product expansion between degenerate and
puncture fields.
| [
{
"created": "Wed, 25 Feb 2004 22:28:19 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Mar 2004 22:45:16 GMT",
"version": "v2"
},
{
"created": "Tue, 29 Jun 2004 00:57:45 GMT",
"version": "v3"
},
{
"created": "Tue, 9 Nov 2004 20:57:18 GMT",
"version": "v4"
}
] | 2009-11-10 | [
[
"Giribet",
"Gaston",
""
],
[
"Simeone",
"Claudio",
""
]
] | We study a class of solutions to the SL(2,R)_k Knizhnik-Zamolodchikov equation. First, logarithmic solutions which represent four-point correlation functions describing string scattering processes on three-dimensional Anti-de Sitter space are discussed. These solutions satisfy the factorization ansatz and include logarithmic dependence on the SL(2,R)-isospin variables. Different types of logarithmic singularities arising are classified and the interpretation of these is discussed. The logarithms found here fit into the usual pattern of the structure of four-point function of other examples of AdS/CFT correspondence. Composite states arising in the intermediate channels can be identified as the phenomena responsible for the appearance of such singularities in the four-point correlation functions. In addition, logarithmic solutions which are related to non perturbative (finite k) effects are found. By means of the relation existing between four-point functions in Wess-Zumino-Novikov-Witten model formulated on SL(2,R) and certain five-point functions in Liouville quantum conformal field theory, we show how the reflection symmetry of Liouville theory induces particular Z_2 symmetry transformations on the WZNW correlators. This observation allows to find relations between different logarithmic solutions. This Liouville description also provides a natural explanation for the appearance of the logarithmic singularities in terms of the operator product expansion between degenerate and puncture fields. |
2011.11941 | Pei-Hung Yuan | Yi Yang and Pei-Hung Yuan | QCD Phase Diagram by Holography | 6 pages, 8 figures | null | 10.1016/j.physletb.2022.137212 | null | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | We explore QCD phase diagram by constructing a holographic QCD model using
the Einstein-Maxwell-Scalar system. The chiral transition is investigated by
adding a probe scalar and confinement transition is studied by adding a probe
string into the system. By interpreting the black hole phase transition in the
bulk spacetime as the quarkyonic transition in the dual QCD theory and
introducing the bypass mechanism for deconfinement transition, we give an
explanation why chiral symmetry breaking and deconfinement transition lines
coincide with each other despite their different physical origins.
| [
{
"created": "Tue, 24 Nov 2020 07:40:08 GMT",
"version": "v1"
}
] | 2022-06-08 | [
[
"Yang",
"Yi",
""
],
[
"Yuan",
"Pei-Hung",
""
]
] | We explore QCD phase diagram by constructing a holographic QCD model using the Einstein-Maxwell-Scalar system. The chiral transition is investigated by adding a probe scalar and confinement transition is studied by adding a probe string into the system. By interpreting the black hole phase transition in the bulk spacetime as the quarkyonic transition in the dual QCD theory and introducing the bypass mechanism for deconfinement transition, we give an explanation why chiral symmetry breaking and deconfinement transition lines coincide with each other despite their different physical origins. |
hep-th/0109167 | Ruben Costa-Santos | Ruben Costa-Santos, Barry M. McCoy | Dimers and the Critical Ising Model on Lattices of genus>1 | 44 pages, eps figures included; typos corrected, figure and comments
added to section 5 | Nucl.Phys.B623:439-473,2002 | 10.1016/S0550-3213(01)00611-3 | null | hep-th | null | We study the partition function of both Close-Packed Dimers and the Critical
Ising Model on a square lattice embedded on a genus two surface. Using
numerical and analytical methods we show that the determinants of the Kasteleyn
adjacency matrices have a dependence on the boundary conditions that, for large
lattice size, can be expressed in terms of genus two theta functions. The
period matrix characterizing the continuum limit of the lattice is computed
using a discrete holomorphic structure. These results relate in a direct way
the lattice combinatorics with conformal field theory, providing new insight to
the lattice regularization of conformal field theories on higher genus Riemann
Surfaces.
| [
{
"created": "Fri, 21 Sep 2001 05:34:54 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Oct 2001 18:59:08 GMT",
"version": "v2"
}
] | 2011-07-19 | [
[
"Costa-Santos",
"Ruben",
""
],
[
"McCoy",
"Barry M.",
""
]
] | We study the partition function of both Close-Packed Dimers and the Critical Ising Model on a square lattice embedded on a genus two surface. Using numerical and analytical methods we show that the determinants of the Kasteleyn adjacency matrices have a dependence on the boundary conditions that, for large lattice size, can be expressed in terms of genus two theta functions. The period matrix characterizing the continuum limit of the lattice is computed using a discrete holomorphic structure. These results relate in a direct way the lattice combinatorics with conformal field theory, providing new insight to the lattice regularization of conformal field theories on higher genus Riemann Surfaces. |
hep-th/9511088 | Cumrun Vafa | Cumrun Vafa | Gas of D-Branes and Hagedorn Density of BPS States | 8 pages, a minor Tex error corrected | Nucl.Phys. B463 (1996) 415-419 | 10.1016/0550-3213(96)00025-9 | HUTP-95/A042 | hep-th | null | We test the prediction of a hagedorn density of BPS states which carry RR
charge in type II compactifications. We find that in certain cases they
correspond to the supersymmetric ground states for a gas of identical 0-branes.
| [
{
"created": "Mon, 13 Nov 1995 20:32:25 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Nov 1995 15:02:15 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Vafa",
"Cumrun",
""
]
] | We test the prediction of a hagedorn density of BPS states which carry RR charge in type II compactifications. We find that in certain cases they correspond to the supersymmetric ground states for a gas of identical 0-branes. |
hep-th/0105153 | Mohsen Alishahiha | Mohsen Alishahiha | (De)Constructing Dimensions and Non-commutative Geometry | 14 pages, latex; references added | Phys.Lett. B517 (2001) 406-414 | 10.1016/S0370-2693(01)00984-4 | ITFA-2001-17 | hep-th | null | In this paper the model considered by Arkani-Hamed, Cohen and Georgi in the
context of (de)constructing dimensions has been studied by making use of
non-commutative geometry. The non-commutative geometry provides a natural
framework to study this model with or without gravity.
| [
{
"created": "Wed, 16 May 2001 11:16:43 GMT",
"version": "v1"
},
{
"created": "Mon, 28 May 2001 13:10:15 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Alishahiha",
"Mohsen",
""
]
] | In this paper the model considered by Arkani-Hamed, Cohen and Georgi in the context of (de)constructing dimensions has been studied by making use of non-commutative geometry. The non-commutative geometry provides a natural framework to study this model with or without gravity. |
hep-th/0011294 | Thomas Dent | Thomas Dent (University of Michigan) | CP violation and target-space modular invariance | 14 pages, uses amssymb | null | null | MCTP-00-07 | hep-th hep-ph | null | We show that, in perturbative string models where the source of CP violation
is a complex vacuum expectation value (v.e.v.) for one or more compactification
moduli, CP is conserved if a CP transformation acting on the modulus values is
an element of a target-space (self-)duality group. Where the duality group is
SL(2,Z) the result confirms a conjecture of Bailin et al. that CP is conserved
for v.e.v.'s of the T modulus on the boundary of the fundamental domain, and
generalises Giedt's result on the removability of complex Yukawa couplings in
such models. Our result applies to any model of spontaneous CP violation where
the CP-odd scalar transforms under a symmetry that is not explicitly broken. We
consider whether similar results could be obtained in ``brane worlds''.
| [
{
"created": "Thu, 30 Nov 2000 23:53:02 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Dent",
"Thomas",
"",
"University of Michigan"
]
] | We show that, in perturbative string models where the source of CP violation is a complex vacuum expectation value (v.e.v.) for one or more compactification moduli, CP is conserved if a CP transformation acting on the modulus values is an element of a target-space (self-)duality group. Where the duality group is SL(2,Z) the result confirms a conjecture of Bailin et al. that CP is conserved for v.e.v.'s of the T modulus on the boundary of the fundamental domain, and generalises Giedt's result on the removability of complex Yukawa couplings in such models. Our result applies to any model of spontaneous CP violation where the CP-odd scalar transforms under a symmetry that is not explicitly broken. We consider whether similar results could be obtained in ``brane worlds''. |
2012.14697 | Qing-Guo Huang | Yu Sang and Qing-Guo Huang | Oscillons during Dirac-Born-Infeld Preheating | 5 pages, 4 figures; more results added, version accepted for
publication in PLB | null | 10.1016/j.physletb.2021.136781 | null | hep-th astro-ph.CO gr-qc hep-ph | http://creativecommons.org/licenses/by/4.0/ | Oscillons are long-lived, localized, oscillating nonlinear excitations of a
real scalar field which can be abundantly produced during preheating after
inflation. We give the first $(3+1)$-dimensional simulation for the oscillon
formation during preheating with noncanonical kinetic terms, e.g. the
Dirac-Born-Infeld form, and find that the formation of oscillons is
significantly influenced by the noncanonical effect.
| [
{
"created": "Tue, 29 Dec 2020 10:38:18 GMT",
"version": "v1"
},
{
"created": "Sat, 13 Nov 2021 09:39:53 GMT",
"version": "v2"
}
] | 2021-12-08 | [
[
"Sang",
"Yu",
""
],
[
"Huang",
"Qing-Guo",
""
]
] | Oscillons are long-lived, localized, oscillating nonlinear excitations of a real scalar field which can be abundantly produced during preheating after inflation. We give the first $(3+1)$-dimensional simulation for the oscillon formation during preheating with noncanonical kinetic terms, e.g. the Dirac-Born-Infeld form, and find that the formation of oscillons is significantly influenced by the noncanonical effect. |
1911.10144 | Luis E. Oxman | D. R. Junior, L. E. Oxman, G. M. Sim\~oes | 3D Yang-Mills confining properties from a non-Abelian ensemble
perspective | LaTeX, 17 pages, 3 figures | null | 10.1007/JHEP01(2020)180 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, we propose a $3D$ ensemble measure for center-vortex worldlines
and chains equipped with non-Abelian degrees of freedom. We derive an effective
field description for the center-element average where the vortices get
represented by $N$ flavors of effective Higgs fields transforming in the
fundamental representation. This field content is required to accommodate
fusion rules where $N$ vortices can be created out of the vacuum. The inclusion
of the chain sector, formed by center-vortex worldlines attached to pointlike
defects, leads to a discrete set of $Z(N)$ vacua. This type of SSB pattern
supports the formation of a stable domain wall between quarks, thus
accommodating not only a linear potential but also the L\"uscher term.
Moreover, after a detailed analysis of the associated field equations, the
asymptotic string tension turns out to scale with the quadratic Casimir of the
antisymmetric quark representation. These behaviors reproduce those derived
from Monte Carlo simulations in $SU(N)$ $3D$ Yang-Mills theory, which lacked
understanding in the framework of confinement as due to percolating magnetic
defects.
| [
{
"created": "Fri, 22 Nov 2019 17:07:18 GMT",
"version": "v1"
}
] | 2020-02-19 | [
[
"Junior",
"D. R.",
""
],
[
"Oxman",
"L. E.",
""
],
[
"Simões",
"G. M.",
""
]
] | In this work, we propose a $3D$ ensemble measure for center-vortex worldlines and chains equipped with non-Abelian degrees of freedom. We derive an effective field description for the center-element average where the vortices get represented by $N$ flavors of effective Higgs fields transforming in the fundamental representation. This field content is required to accommodate fusion rules where $N$ vortices can be created out of the vacuum. The inclusion of the chain sector, formed by center-vortex worldlines attached to pointlike defects, leads to a discrete set of $Z(N)$ vacua. This type of SSB pattern supports the formation of a stable domain wall between quarks, thus accommodating not only a linear potential but also the L\"uscher term. Moreover, after a detailed analysis of the associated field equations, the asymptotic string tension turns out to scale with the quadratic Casimir of the antisymmetric quark representation. These behaviors reproduce those derived from Monte Carlo simulations in $SU(N)$ $3D$ Yang-Mills theory, which lacked understanding in the framework of confinement as due to percolating magnetic defects. |
1612.04613 | Hui-Huang Chen | Hui-Huang Chen, Jun-Bao Wu | Finite-size Effect for Dyonic Giant Magnons in $CP^3_{\beta}$ | a few typos fixed | Phys. Lett. B 769, 90 (2017) | 10.1016/j.physletb.2017.03.042 | CJQS-2017-001 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We studied the finite-size giant magnons in
$\text{AdS}_4\times\text{CP}^3_{\beta}$ background using the classical spectral
curve constructed in this paper. We computed the finite-size corrections to the
dispersion relations for the $RP^3$ giant magnons using our twisted algebraic
curve based on the method proposed in arXiv:0810.1246, in which the authors
computed the finite-size corrections of giant magnons in
$\text{AdS}_4\times\text{CP}^3$ by introducing a finite-size resolvent
$G_{\text{finite}}(x)$. We obtained exactly the same result as in
arXiv:1106.3686, where a totally different approach was used.
| [
{
"created": "Wed, 14 Dec 2016 12:49:03 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Dec 2016 08:48:55 GMT",
"version": "v2"
},
{
"created": "Sun, 19 Mar 2017 12:22:45 GMT",
"version": "v3"
},
{
"created": "Sun, 26 Mar 2017 11:09:10 GMT",
"version": "v4"
},
{
"created": "Sun, 20 Aug 2017 12:41:13 GMT",
"version": "v5"
}
] | 2021-10-12 | [
[
"Chen",
"Hui-Huang",
""
],
[
"Wu",
"Jun-Bao",
""
]
] | We studied the finite-size giant magnons in $\text{AdS}_4\times\text{CP}^3_{\beta}$ background using the classical spectral curve constructed in this paper. We computed the finite-size corrections to the dispersion relations for the $RP^3$ giant magnons using our twisted algebraic curve based on the method proposed in arXiv:0810.1246, in which the authors computed the finite-size corrections of giant magnons in $\text{AdS}_4\times\text{CP}^3$ by introducing a finite-size resolvent $G_{\text{finite}}(x)$. We obtained exactly the same result as in arXiv:1106.3686, where a totally different approach was used. |
hep-th/0703258 | Maksym Serbyn | A. Morozov, M. Serbyn | Non-Linear Algebra and Bogolubov's Recursion | LaTex, 21 pages | Theor.Math.Phys.154:270-293,2008 | 10.1007/s11232-008-0026-7 | null | hep-th | null | Numerous examples are given of application of Bogolubov's forest formula to
iterative solutions of various non-linear equations: one and the same formula
describes everything, from ordinary quadratic equation to renormalization in
quantum field theory.
| [
{
"created": "Wed, 28 Mar 2007 13:47:44 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Morozov",
"A.",
""
],
[
"Serbyn",
"M.",
""
]
] | Numerous examples are given of application of Bogolubov's forest formula to iterative solutions of various non-linear equations: one and the same formula describes everything, from ordinary quadratic equation to renormalization in quantum field theory. |
hep-th/9312183 | Coussaert Olivier | A. Dresse and M. Henneaux | BRST structure of polynomial Poisson algebras | 16 pages | J.Math.Phys.35:1334,1994 | null | ULB-PMIF-93/05 | hep-th math.SG | null | The BRST structure of polynomial Poisson algebras is investigated. It is
shown that Poisson algebras provide non trivial models where the full BRST
recursive procedure is needed. Quadratic Poisson algebras may already be of
arbitrarily high rank. Explicit examples are provided, for which the first
terms of the BRST generator are given. The calculations are cumbersome but
purely algorithmic, and have been treated by means of the computer algebra
system REDUCE. Our analysis is classical ($=$ non quantum) throughout.
| [
{
"created": "Thu, 23 Dec 1993 15:30:59 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Dresse",
"A.",
""
],
[
"Henneaux",
"M.",
""
]
] | The BRST structure of polynomial Poisson algebras is investigated. It is shown that Poisson algebras provide non trivial models where the full BRST recursive procedure is needed. Quadratic Poisson algebras may already be of arbitrarily high rank. Explicit examples are provided, for which the first terms of the BRST generator are given. The calculations are cumbersome but purely algorithmic, and have been treated by means of the computer algebra system REDUCE. Our analysis is classical ($=$ non quantum) throughout. |
1108.0225 | Werner Ruehl | Werner Ruehl | Solving Noether's equations for gauge invariant local Lagrangians of N
arbitrary higher even spin fields | Latex, 36 pages, v.2, references added; v.3 the discussion of
conformal invariance added | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider systems of higher spin gauge fields that are described by a free
field Lagrangian and one interaction of arbitrary order $N$ that is local and
satisfies abelian gauge invariance. Such "solitary" interactions are derived
from Noether potentials solving the Noether equations. They are constructed
using a free conformal field theory carried by the same flat space as the
higher spin fields. In this field theory we consider $N$-loop functions of
conserved, conformally covariant currents, they are UV divergent. The residue
of the first order pole in the dimensional regularisation approach to the
$N$-loop function is a local differential operator and is free of anomalies, so
that current conservation and conformal covariance is maintained. Applying this
operator to the higher spin fields, the Noether potential results. We study the
cases $N=2, N=3$ and N=4. We argue that our N=3 vertex for any number of
derivatives $\Delta$ is identical with the known cubic interaction.
| [
{
"created": "Mon, 1 Aug 2011 03:31:02 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Oct 2011 15:25:48 GMT",
"version": "v2"
},
{
"created": "Tue, 14 Feb 2012 07:13:45 GMT",
"version": "v3"
}
] | 2012-02-15 | [
[
"Ruehl",
"Werner",
""
]
] | We consider systems of higher spin gauge fields that are described by a free field Lagrangian and one interaction of arbitrary order $N$ that is local and satisfies abelian gauge invariance. Such "solitary" interactions are derived from Noether potentials solving the Noether equations. They are constructed using a free conformal field theory carried by the same flat space as the higher spin fields. In this field theory we consider $N$-loop functions of conserved, conformally covariant currents, they are UV divergent. The residue of the first order pole in the dimensional regularisation approach to the $N$-loop function is a local differential operator and is free of anomalies, so that current conservation and conformal covariance is maintained. Applying this operator to the higher spin fields, the Noether potential results. We study the cases $N=2, N=3$ and N=4. We argue that our N=3 vertex for any number of derivatives $\Delta$ is identical with the known cubic interaction. |
hep-th/0201043 | Vadim Borokhov | Vadim Borokhov | Belinfante Tensors Induced by Matter-Gravity Couplings | 10 pages, LaTex; misprints corrected, references added; to appear in
Physical Review D | Phys.Rev. D65 (2002) 125022 | 10.1103/PhysRevD.65.125022 | CALT-68-2369 | hep-th gr-qc | null | We show that any generally covariant coupling of matter fields to gravity
gives rise to a conserved, on-shell symmetric energy-momentum tensor equivalent
to the canonical energy-momentum tensor of the flat-space theory. For matter
fields minimally coupled to gravity our algorithm gives the conventional
Belinfante tensor. We establish that different matter-gravity couplings give
metric energy-momentum tensors differing by identically conserved tensors. We
prove that the metric energy-momentum tensor obtained from an arbitrary gravity
theory is on-shell equivalent to the canonical energy-momentum tensor of the
flat-space theory.
| [
{
"created": "Tue, 8 Jan 2002 02:16:59 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Apr 2002 20:52:30 GMT",
"version": "v2"
},
{
"created": "Mon, 3 Jun 2002 22:41:29 GMT",
"version": "v3"
}
] | 2020-07-03 | [
[
"Borokhov",
"Vadim",
""
]
] | We show that any generally covariant coupling of matter fields to gravity gives rise to a conserved, on-shell symmetric energy-momentum tensor equivalent to the canonical energy-momentum tensor of the flat-space theory. For matter fields minimally coupled to gravity our algorithm gives the conventional Belinfante tensor. We establish that different matter-gravity couplings give metric energy-momentum tensors differing by identically conserved tensors. We prove that the metric energy-momentum tensor obtained from an arbitrary gravity theory is on-shell equivalent to the canonical energy-momentum tensor of the flat-space theory. |
hep-th/0312066 | Michel Rausch de Traubenberg | M. Rausch de Traubenberg | Four dimensional cubic supersymmetry | LateX 10 pages, contribution to the 5th International Conference On
Symmetry In Nonlinear Mathematical Physics June 23-29 Jul 2003, Kyiv, Ukraine | EconfC0306234:578-585,2003 | null | null | hep-th math-ph math.MP | null | A four dimensional non-trivial extension of the Poincar\'e algebra different
from supersymmetry is explicitly studied. Representation theory is investigated
and an invariant Lagrangian is exhibited. Some discussion on the Noether
theorem is also given.
| [
{
"created": "Fri, 5 Dec 2003 16:18:28 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"de Traubenberg",
"M. Rausch",
""
]
] | A four dimensional non-trivial extension of the Poincar\'e algebra different from supersymmetry is explicitly studied. Representation theory is investigated and an invariant Lagrangian is exhibited. Some discussion on the Noether theorem is also given. |
2311.13076 | Nobuyuki Sawado | P. Klimas, L.C. Kubaski, N. Sawado, S. Yanai | Gauged compact Q-balls and Q-shells in a multi-component $CP^N$ model | 23 pages, 8 figures | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a multicomponent $CP^N$ model's scalar electrodynamics. The model
contains Q-balls/shells, which are non-topological compact solitons with time
dependency $e^{i\omega t}$. Two coupled $CP^N$ models can decouple locally if
one of their $CP^N$ fields takes the vacuum value. Because of the compacton
nature of solutions, Q-shells can shelter another compact Q-ball or Q-shell
within their hollow region. Even if compactons do not overlap, they can
interact through the electromagnetic field. We investigate how the size of
multi-compacton formations is affected by electric charge. We are interested in
structures with non-zero or zero total net charge.
| [
{
"created": "Wed, 22 Nov 2023 00:38:47 GMT",
"version": "v1"
}
] | 2023-11-23 | [
[
"Klimas",
"P.",
""
],
[
"Kubaski",
"L. C.",
""
],
[
"Sawado",
"N.",
""
],
[
"Yanai",
"S.",
""
]
] | We study a multicomponent $CP^N$ model's scalar electrodynamics. The model contains Q-balls/shells, which are non-topological compact solitons with time dependency $e^{i\omega t}$. Two coupled $CP^N$ models can decouple locally if one of their $CP^N$ fields takes the vacuum value. Because of the compacton nature of solutions, Q-shells can shelter another compact Q-ball or Q-shell within their hollow region. Even if compactons do not overlap, they can interact through the electromagnetic field. We investigate how the size of multi-compacton formations is affected by electric charge. We are interested in structures with non-zero or zero total net charge. |
hep-th/0405197 | Hugo Garcia-Compean | Hugo Garcia-Compean | N=2 String Geometry and the Heavenly Equations | 19+1 pages, 3 figures, corrected types, added references and
comments,to appear in the proceedings of the conference: Topics in
Mathematical Physics, General Relativity, and Cosmology, On the Occasion of
the 75th Birthday of Jerzy F. Plebanski (2002). September 17-20, 2002;
Cinvestav, Mexico City | null | null | CINVESTAV-FIS-22/04 | hep-th | null | In this paper we survey some of the relations between Plebanski description
of self-dual gravity through the heavenly equations and the physics (and
mathematics) of N=2 Strings. In particular we focus on the correspondence
between the infinite hierarchy in the ground ring structure of BRST operators
and its associated Boyer-Plebanski construction of infinite conserved
quantities in self-dual gravity. We comment on ``Mirror Symmetry'' in these
models and the large-N duality between topological N=4 gauge theories in two
dimensions and topological gravity in four dimensions. Finally D-branes in this
context are briefly outlined.
| [
{
"created": "Sat, 22 May 2004 20:02:09 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Mar 2006 02:11:45 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Garcia-Compean",
"Hugo",
""
]
] | In this paper we survey some of the relations between Plebanski description of self-dual gravity through the heavenly equations and the physics (and mathematics) of N=2 Strings. In particular we focus on the correspondence between the infinite hierarchy in the ground ring structure of BRST operators and its associated Boyer-Plebanski construction of infinite conserved quantities in self-dual gravity. We comment on ``Mirror Symmetry'' in these models and the large-N duality between topological N=4 gauge theories in two dimensions and topological gravity in four dimensions. Finally D-branes in this context are briefly outlined. |
1108.1832 | Allen Stern | Lei Lu and A. Stern | Snyder space revisited | 22 pages | null | 10.1016/j.nuclphysb.2011.09.022 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We examine basis functions on momentum space for the three dimensional
Euclidean Snyder algebra. We argue that the momentum space is isomorphic to the
SO(3) group manifold, and that the basis functions span either one of two
Hilbert spaces. This implies the existence of two distinct lattice structures
of space, on which continuous rotations and translations are unitarily
implementable.
| [
{
"created": "Tue, 9 Aug 2011 00:03:27 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Oct 2011 19:53:54 GMT",
"version": "v2"
}
] | 2015-05-30 | [
[
"Lu",
"Lei",
""
],
[
"Stern",
"A.",
""
]
] | We examine basis functions on momentum space for the three dimensional Euclidean Snyder algebra. We argue that the momentum space is isomorphic to the SO(3) group manifold, and that the basis functions span either one of two Hilbert spaces. This implies the existence of two distinct lattice structures of space, on which continuous rotations and translations are unitarily implementable. |
1105.3646 | Yan Yan Bu | Yan Yan Bu, Jin Min Yang | Spectral function and quark diffusion constant in non-critical
holographic QCD | 37 pages, no figures; Version to be published in Nuclear Physics B | Nucl.Phys.B855:388-419,2012 | 10.1016/j.nuclphysb.2011.10.023 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Motivated by recent studies of intersecting D-brane systems in critical
string theory and phenomenological AdS/QCD models, we present a detailed
analysis for the vector and scalar fluctuations in a non-critical holographic
QCD model in the high temperature phase, i.e., the chiral symmetric phase. This
model is described by $N_f$ pairs of D4 and $\bar{\text{D4}}$ probe branes in a
non-critical ${AdS_6}$ black hole background. Focusing on the hydrodynamic as
well as the high frequency limit, we analytically obtain spectral functions for
vector and scalar modes on the flavor probe. Then we extract the light quark
diffusion constant for flavor current using three different methods and find
that different methods give the same results. We also compute the heavy quark
diffusion constant for comparison with the light quark case.
| [
{
"created": "Wed, 18 May 2011 14:26:41 GMT",
"version": "v1"
},
{
"created": "Wed, 25 May 2011 11:56:37 GMT",
"version": "v2"
},
{
"created": "Tue, 31 May 2011 12:32:41 GMT",
"version": "v3"
},
{
"created": "Fri, 21 Oct 2011 18:56:31 GMT",
"version": "v4"
}
] | 2011-11-07 | [
[
"Bu",
"Yan Yan",
""
],
[
"Yang",
"Jin Min",
""
]
] | Motivated by recent studies of intersecting D-brane systems in critical string theory and phenomenological AdS/QCD models, we present a detailed analysis for the vector and scalar fluctuations in a non-critical holographic QCD model in the high temperature phase, i.e., the chiral symmetric phase. This model is described by $N_f$ pairs of D4 and $\bar{\text{D4}}$ probe branes in a non-critical ${AdS_6}$ black hole background. Focusing on the hydrodynamic as well as the high frequency limit, we analytically obtain spectral functions for vector and scalar modes on the flavor probe. Then we extract the light quark diffusion constant for flavor current using three different methods and find that different methods give the same results. We also compute the heavy quark diffusion constant for comparison with the light quark case. |
hep-th/0006202 | Sheikh-Jabbari Mohammad | J. G. Russo and M. M. Sheikh-Jabbari | On Noncommutative Open String Theories | latex, 22pages, one eps figure, v3: minor changes and corrections | JHEP 0007:052,2000 | 10.1088/1126-6708/2000/07/052 | IC/2000/73 | hep-th | null | We investigate new compactifications of OM theory giving rise to a 3+1
dimensional open string theory with noncommutative $x^0$-$x^1$ and $x^2$-$x^3$
coordinates. The theory can be directly obtained by starting with a D3 brane
with parallel (near critical) electric and magnetic field components, in the
presence of a RR scalar field. The magnetic parameter permits to interpolate
continuously between the $x^0$-$x^1$ noncommutative open string theory and the
$x^2$-$x^3$ spatial noncommutative U(N) super Yang-Mills theory. We discuss
$SL(2,Z)$ transformations of this theory. Using the supergravity description of
the large $N$ limit, we also compute corrections to the quark-antiquark Coulomb
potential arising in the NCOS theory.
| [
{
"created": "Mon, 26 Jun 2000 18:25:39 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Jun 2000 15:39:55 GMT",
"version": "v2"
},
{
"created": "Thu, 13 Jul 2000 13:56:07 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Russo",
"J. G.",
""
],
[
"Sheikh-Jabbari",
"M. M.",
""
]
] | We investigate new compactifications of OM theory giving rise to a 3+1 dimensional open string theory with noncommutative $x^0$-$x^1$ and $x^2$-$x^3$ coordinates. The theory can be directly obtained by starting with a D3 brane with parallel (near critical) electric and magnetic field components, in the presence of a RR scalar field. The magnetic parameter permits to interpolate continuously between the $x^0$-$x^1$ noncommutative open string theory and the $x^2$-$x^3$ spatial noncommutative U(N) super Yang-Mills theory. We discuss $SL(2,Z)$ transformations of this theory. Using the supergravity description of the large $N$ limit, we also compute corrections to the quark-antiquark Coulomb potential arising in the NCOS theory. |
hep-th/0109122 | Shin'ichi Nojiri | Shin'ichi Nojiri, Sergei D. Odintsov | Anti-de Sitter Black Hole Thermodynamics in Higher Derivative Gravity
and New Confining-Deconfining Phases in dual CFT | LaTeX 15 pages, several errors are corrected | Phys.Lett.B521:87-95,2001; Erratum-ibid.B542:301,2002 | 10.1016/S0370-2693(01)01186-8 | null | hep-th | null | The thermodynamics of d5 AdS BHs with positive, negative or zero curvature
spatial section in higher derivative (HD) gravity is described. HD contribution
to free energy may change its sign which leads to more complicated regime for
Hawking-Page phase transitions. Some variant of d5 HD gravity is dual to ${\cal
N}=2$ $Sp(N)$ SCFT up to the next-to-leading order in large $N$. Then,
according to Witten interpretation the stable AdS BH phase corresponds to
deconfinement while global AdS phase corresponds to confinement. Unlike to
Einstein gravity in HD theory the critical $N$ appears. It may influence the
phase transition structure. In particulary, what was confining phase above the
critical value becomes the deconfining phase below it and vice-versa.
| [
{
"created": "Sat, 15 Sep 2001 12:16:36 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Oct 2001 01:44:29 GMT",
"version": "v2"
},
{
"created": "Thu, 18 Jul 2002 05:25:13 GMT",
"version": "v3"
}
] | 2009-09-17 | [
[
"Nojiri",
"Shin'ichi",
""
],
[
"Odintsov",
"Sergei D.",
""
]
] | The thermodynamics of d5 AdS BHs with positive, negative or zero curvature spatial section in higher derivative (HD) gravity is described. HD contribution to free energy may change its sign which leads to more complicated regime for Hawking-Page phase transitions. Some variant of d5 HD gravity is dual to ${\cal N}=2$ $Sp(N)$ SCFT up to the next-to-leading order in large $N$. Then, according to Witten interpretation the stable AdS BH phase corresponds to deconfinement while global AdS phase corresponds to confinement. Unlike to Einstein gravity in HD theory the critical $N$ appears. It may influence the phase transition structure. In particulary, what was confining phase above the critical value becomes the deconfining phase below it and vice-versa. |
2110.15257 | Ioannis Lavdas | Ilka Brunner, Ioannis Lavdas, Ingmar Saberi | Holomorphic boundary conditions for topological field theories via
branes in twisted supergravity | 40 pages, 2 figures. v. 2: updated references | null | null | LMU-ASC 41/21 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Three-dimensional $\mathcal{N}=4$ supersymmetric field theories admit a
natural class of chiral half-BPS boundary conditions that preserve
$\mathcal{N}=(0,4)$ supersymmetry. While such boundary conditions are not
compatible with topological twists, deformations that define boundary
conditions for the topological theories were recently introduced by Costello
and Gaiotto. Not all $\mathcal{N}=(0,4)$ boundary conditions admit such
deformations. We revisit this construction, working directly in the setting of
the holomorphically twisted theory and viewing the topological twists as
further deformations. Properties of the construction are explained both purely
in the context of holomorphic field theory and also by engineering the
holomorphic theory on the worldvolume of a D-brane. Our brane engineering
approach combines the intersecting brane configurations of Hanany-Witten with
recent work of Costello and Li on twisted supergravity. The latter approach
allows to realize holomorphically and topologically twisted field theories
directly as worldvolume theories in deformed supergravity backgrounds, and we
make extensive use of this.
| [
{
"created": "Thu, 28 Oct 2021 16:15:25 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Jan 2022 14:51:52 GMT",
"version": "v2"
}
] | 2022-01-31 | [
[
"Brunner",
"Ilka",
""
],
[
"Lavdas",
"Ioannis",
""
],
[
"Saberi",
"Ingmar",
""
]
] | Three-dimensional $\mathcal{N}=4$ supersymmetric field theories admit a natural class of chiral half-BPS boundary conditions that preserve $\mathcal{N}=(0,4)$ supersymmetry. While such boundary conditions are not compatible with topological twists, deformations that define boundary conditions for the topological theories were recently introduced by Costello and Gaiotto. Not all $\mathcal{N}=(0,4)$ boundary conditions admit such deformations. We revisit this construction, working directly in the setting of the holomorphically twisted theory and viewing the topological twists as further deformations. Properties of the construction are explained both purely in the context of holomorphic field theory and also by engineering the holomorphic theory on the worldvolume of a D-brane. Our brane engineering approach combines the intersecting brane configurations of Hanany-Witten with recent work of Costello and Li on twisted supergravity. The latter approach allows to realize holomorphically and topologically twisted field theories directly as worldvolume theories in deformed supergravity backgrounds, and we make extensive use of this. |
0807.0909 | She-Sheng Xue | Hagen Kleinert, Remo Ruffini and She-Sheng Xue | Electron-Positron Pair Production in Space- or Time-Dependent Electric
Fields | 33 pages and 9 figures. to appear in Phys. Rev. D | Phys.Rev.D78:025011,2008 | 10.1103/PhysRevD.78.025011 | null | hep-th astro-ph hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Treating the production of electron and positron pairs by a strong electric
field from the vacuum as a quantum tunneling process we derive, in
semiclassical approximation, a general expression for the pair production rate
in a $z$-dependent electric field $E(z)$ pointing in the $z$-direction. We also
allow for a smoothly varying magnetic field parallel to $E(z)$. The result is
applied to a confined field $E(z)\not=0$ for $|z|\lesssim \ell $, a
semi-confined field $E(z)\not=0$ for $ z\gtrsim 0 $, and a linearly increasing
field $E(z)\sim z$. The boundary effects of the confined fields on
pair-production rates are exhibited. A simple variable change in all formulas
leads to results for electric fields depending on time rather than space.
In addition, we discuss tunneling processes in which empty atomic bound
states are spontaneously filled by negative-energy electrons from the vacuum
under positron emission. In particular, we calculate the rate at which the
atomic levels of a bare nucleus of finite size $r_{\rm n}$ and large $Z\gg 1$
are filled by spontaneous pair creation.
| [
{
"created": "Sun, 6 Jul 2008 15:22:57 GMT",
"version": "v1"
}
] | 2008-12-18 | [
[
"Kleinert",
"Hagen",
""
],
[
"Ruffini",
"Remo",
""
],
[
"Xue",
"She-Sheng",
""
]
] | Treating the production of electron and positron pairs by a strong electric field from the vacuum as a quantum tunneling process we derive, in semiclassical approximation, a general expression for the pair production rate in a $z$-dependent electric field $E(z)$ pointing in the $z$-direction. We also allow for a smoothly varying magnetic field parallel to $E(z)$. The result is applied to a confined field $E(z)\not=0$ for $|z|\lesssim \ell $, a semi-confined field $E(z)\not=0$ for $ z\gtrsim 0 $, and a linearly increasing field $E(z)\sim z$. The boundary effects of the confined fields on pair-production rates are exhibited. A simple variable change in all formulas leads to results for electric fields depending on time rather than space. In addition, we discuss tunneling processes in which empty atomic bound states are spontaneously filled by negative-energy electrons from the vacuum under positron emission. In particular, we calculate the rate at which the atomic levels of a bare nucleus of finite size $r_{\rm n}$ and large $Z\gg 1$ are filled by spontaneous pair creation. |
0707.4221 | Enrique Alvarez | Enrique Alvarez and Anton F. Faedo | A comment on the matter-graviton coupling | 17 pages, 4 figures. References added | Phys.Rev.D76:124016,2007 | 10.1103/PhysRevD.76.124016 | IFT-UAM/CSIC-07-32 | hep-th | null | We point out a generic inconsistency of the coupling of ordinary gravity as
described by general relativity with matter invariant under the subgroup of
unimodular diffeomorphisms (TDiffs), and some previously studied exceptions are
pointed out. The most general Lagrangian invariant under TDiff up to dimension
five operators is determined, and restrictions on parameters coming from
existing observations are studied in some cases.
| [
{
"created": "Sat, 28 Jul 2007 08:40:15 GMT",
"version": "v1"
},
{
"created": "Sun, 23 Sep 2007 15:32:19 GMT",
"version": "v2"
},
{
"created": "Mon, 24 Sep 2007 20:51:46 GMT",
"version": "v3"
},
{
"created": "Wed, 26 Sep 2007 20:35:39 GMT",
"version": "v4"
},
{
"created": "Tue, 30 Oct 2007 22:29:34 GMT",
"version": "v5"
}
] | 2008-11-26 | [
[
"Alvarez",
"Enrique",
""
],
[
"Faedo",
"Anton F.",
""
]
] | We point out a generic inconsistency of the coupling of ordinary gravity as described by general relativity with matter invariant under the subgroup of unimodular diffeomorphisms (TDiffs), and some previously studied exceptions are pointed out. The most general Lagrangian invariant under TDiff up to dimension five operators is determined, and restrictions on parameters coming from existing observations are studied in some cases. |
hep-th/9305021 | Fernando Ruiz | G. Giavarini, C.P. Martin and F. Ruiz Ruiz | Physically meaningful and not so meaningful symmetries in Chern-Simons
theory | phyzzx, 21 pages, 2 figures in one PS file | Phys.Rev.D47:5536-5545,1993 | 10.1103/PhysRevD.47.5536 | NIKHEF-H 93-05 | hep-th | null | We explicitly show that the Landau gauge supersymmetry of Chern-Simons theory
does not have any physical significance. In fact, the difference between an
effective action both BRS invariant and Landau supersymmetric and an effective
action only BRS invariant is a finite field redefinition. Having established
this, we use a BRS invariant regulator that defines CS theory as the large mass
limit of topologically massive Yang-Mills theory to discuss the shift $k \to
k+\cv$ of the bare Chern-Simons parameter $k$ in conncection with the Landau
supersymmetry. Finally, to convince ourselves that the shift above is not an
accident of our regularization method, we comment on the fact that all BRS
invariant regulators used as yet yield the same value for the shift.
| [
{
"created": "Thu, 6 May 1993 18:46:45 GMT",
"version": "v1"
}
] | 2011-07-19 | [
[
"Giavarini",
"G.",
""
],
[
"Martin",
"C. P.",
""
],
[
"Ruiz",
"F. Ruiz",
""
]
] | We explicitly show that the Landau gauge supersymmetry of Chern-Simons theory does not have any physical significance. In fact, the difference between an effective action both BRS invariant and Landau supersymmetric and an effective action only BRS invariant is a finite field redefinition. Having established this, we use a BRS invariant regulator that defines CS theory as the large mass limit of topologically massive Yang-Mills theory to discuss the shift $k \to k+\cv$ of the bare Chern-Simons parameter $k$ in conncection with the Landau supersymmetry. Finally, to convince ourselves that the shift above is not an accident of our regularization method, we comment on the fact that all BRS invariant regulators used as yet yield the same value for the shift. |
0801.4087 | Bhupendra Nath Tiwari | Bhupendra Nath Tiwari | Sur les corrections de la g\'eom\'etrie thermodynamique des trous noirs | 489 pages, Latex, French, English Abstract | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study thermodynamic geometry of certain black holes and black branes with
and without generalized uncertainty principle or stringy $ \alpha^{\prime}
$-corrections to the entropy. From this perspective, we analyze Ruppenier
geometry of Reissner-Nordstr\"om black holes and show that it is well defined
and corresponds to a non-interacting statistical system. We investigate that
the Weinhold geometry of dilatonic black holes is regular everywhere and that
of large mass Reissner-Nordstr\"om black holes in the Poincar\'e patch of $
AdS_4 $ contains certain narrow range of thermodynamically unstable regions in
the statespace. We obtain that the generalized uncertainty principle corrected
Ruppenier geometry of Reissner-Nordstr\"om black holes correspond to a
non-interacting statistical system unlike the magnetically charged black holes.
We show that the stringy $ \alpha^{\prime} $-corrections do not introduce
singularity in the statespace geometry of non-supersymmetric extremal black
holes in $ D= 4 $. Interestingly, the degree of scalar curvature and that of
the determinant of this Ruppenier geometry can be written as an integer
multiple of the order of $ \alpha^{\prime} $-correction. We further show that
the statespace geometry of Gauss- Bonnet corrected supersymmetric extremal
black holes in $ D=4 $ as well as non-extremal $D_1D_5$ and $D_2D_6NS_5$ black
branes in $ D=10 $ is regular everywhere. Furthermore, the thermodynamic
geometry of four dimensional rotating Kerr-Newman extremal black holes in
Einstein-Maxwell theory is everywhere ill-defined and that of the Kaluza-Klein
black holes in Einstein-Maxwell theory or the one arrising from heterotic
string compactification is ill-defined only at the points of the ergo-branch.
| [
{
"created": "Sun, 27 Jan 2008 04:32:24 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Aug 2011 17:24:31 GMT",
"version": "v2"
}
] | 2011-08-24 | [
[
"Tiwari",
"Bhupendra Nath",
""
]
] | We study thermodynamic geometry of certain black holes and black branes with and without generalized uncertainty principle or stringy $ \alpha^{\prime} $-corrections to the entropy. From this perspective, we analyze Ruppenier geometry of Reissner-Nordstr\"om black holes and show that it is well defined and corresponds to a non-interacting statistical system. We investigate that the Weinhold geometry of dilatonic black holes is regular everywhere and that of large mass Reissner-Nordstr\"om black holes in the Poincar\'e patch of $ AdS_4 $ contains certain narrow range of thermodynamically unstable regions in the statespace. We obtain that the generalized uncertainty principle corrected Ruppenier geometry of Reissner-Nordstr\"om black holes correspond to a non-interacting statistical system unlike the magnetically charged black holes. We show that the stringy $ \alpha^{\prime} $-corrections do not introduce singularity in the statespace geometry of non-supersymmetric extremal black holes in $ D= 4 $. Interestingly, the degree of scalar curvature and that of the determinant of this Ruppenier geometry can be written as an integer multiple of the order of $ \alpha^{\prime} $-correction. We further show that the statespace geometry of Gauss- Bonnet corrected supersymmetric extremal black holes in $ D=4 $ as well as non-extremal $D_1D_5$ and $D_2D_6NS_5$ black branes in $ D=10 $ is regular everywhere. Furthermore, the thermodynamic geometry of four dimensional rotating Kerr-Newman extremal black holes in Einstein-Maxwell theory is everywhere ill-defined and that of the Kaluza-Klein black holes in Einstein-Maxwell theory or the one arrising from heterotic string compactification is ill-defined only at the points of the ergo-branch. |
hep-th/0101152 | Alexei Zamolodchikov | A.Zamolodchikov and Al.Zamolodchikov | Liouville field theory on a pseudosphere | 24 pages, 5 figures | null | null | null | hep-th | null | Liouville field theory is considered with boundary conditions corresponding
to a quantization of the classical Lobachevskiy plane (i.e. euclidean version
of $AdS_2$). We solve the bootstrap equations for the out-vacuum wave function
and find an infinite set of solutions. This solutions are in one to one
correspondence with the degenerate representations of the Virasoro algebra.
Consistency of these solutions is verified by both boundary and modular
bootstrap techniques. Perturbative calculations lead to the conclusion that
only the ``basic'' solution corresponding to the identity operator provides a
``natural'' quantization of the Lobachevskiy plane.
| [
{
"created": "Tue, 23 Jan 2001 17:08:35 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Zamolodchikov",
"A.",
""
],
[
"Zamolodchikov",
"Al.",
""
]
] | Liouville field theory is considered with boundary conditions corresponding to a quantization of the classical Lobachevskiy plane (i.e. euclidean version of $AdS_2$). We solve the bootstrap equations for the out-vacuum wave function and find an infinite set of solutions. This solutions are in one to one correspondence with the degenerate representations of the Virasoro algebra. Consistency of these solutions is verified by both boundary and modular bootstrap techniques. Perturbative calculations lead to the conclusion that only the ``basic'' solution corresponding to the identity operator provides a ``natural'' quantization of the Lobachevskiy plane. |
1904.09995 | Paul Romatschke | Paul Romatschke | Finite temperature CFT results for all couplings: O(N) model in 2+1
dimensions | 5 pages, 1 figure; v2: typos fixed, new section on universality of
4/5 ratio; v3: matches published version; v4: typos/errors corrected | Phys. Rev. Lett. 122, 231603 (2019) | 10.1103/PhysRevLett.123.209901 | null | hep-th cond-mat.str-el hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A famous example of gauge/gravity duality is the result that the entropy
density of strongly coupled ${\cal N}=4$ SYM in four dimensions for large N is
exactly 3/4 of the Stefan-Boltzmann limit. In this work, I revisit the massless
O(N) model in 2+1 dimensions, which is analytically solvable at finite
temperature $T$ for all couplings $\lambda$ in the large N limit. I find that
the entropy density monotonically decreases from the Stefan-Boltzmann limit at
$\lambda=0$ to exactly 4/5 of the Stefan-Boltzmann limit at $\lambda=\infty$.
Calculating the retarded energy-momentum tensor correlator in the scalar
channel at $\lambda=\infty$, I find that it has two logarithmic branch cuts
originating at $\omega=\pm 4 T \ln \frac{1+\sqrt{5}}{2}$, but no singularities
in the whole complex frequency plane. I show that the ratio 4/5 and the
location of the branch points both are universal within a large class of
bosonic CFTs in 2+1 dimensions.
| [
{
"created": "Mon, 22 Apr 2019 18:00:02 GMT",
"version": "v1"
},
{
"created": "Thu, 2 May 2019 20:28:21 GMT",
"version": "v2"
},
{
"created": "Mon, 24 Jun 2019 15:49:37 GMT",
"version": "v3"
},
{
"created": "Mon, 21 Oct 2019 22:07:11 GMT",
"version": "v4"
}
] | 2020-01-08 | [
[
"Romatschke",
"Paul",
""
]
] | A famous example of gauge/gravity duality is the result that the entropy density of strongly coupled ${\cal N}=4$ SYM in four dimensions for large N is exactly 3/4 of the Stefan-Boltzmann limit. In this work, I revisit the massless O(N) model in 2+1 dimensions, which is analytically solvable at finite temperature $T$ for all couplings $\lambda$ in the large N limit. I find that the entropy density monotonically decreases from the Stefan-Boltzmann limit at $\lambda=0$ to exactly 4/5 of the Stefan-Boltzmann limit at $\lambda=\infty$. Calculating the retarded energy-momentum tensor correlator in the scalar channel at $\lambda=\infty$, I find that it has two logarithmic branch cuts originating at $\omega=\pm 4 T \ln \frac{1+\sqrt{5}}{2}$, but no singularities in the whole complex frequency plane. I show that the ratio 4/5 and the location of the branch points both are universal within a large class of bosonic CFTs in 2+1 dimensions. |
1712.04456 | Timo Weigand | Timo Weigand and Fengjun Xu | The Green-Schwarz Mechanism and Geometric Anomaly Relations in 2d (0,2)
F-theory Vacua | 42 pages | null | 10.1007/JHEP04(2018)107 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the structure of gauge and gravitational anomalies in 2d N=(0,2)
theories obtained by compactification of F-theory on elliptically fibered
Calabi-Yau 5-folds. Abelian gauge anomalies, induced at 1-loop in perturbation
theory, are cancelled by a generalized Green-Schwarz mechanism operating at the
level of chiral scalar fields in the 2d supergravity theory. We derive closed
expressions for the gravitational and the non-abelian and abelian gauge
anomalies including the Green-Schwarz counterterms. These expressions involve
topological invariants of the underlying elliptic fibration and the gauge
background thereon. Cancellation of anomalies in the effective theory predicts
intricate topological identities which must hold on every elliptically fibered
Calabi-Yau 5-fold. We verify these relations in a non-trivial example, but
their proof from a purely mathematical perspective remains as an interesting
open problem. Some of the identities we find on elliptic 5-folds are related in
an intriguing way to previously studied topological identities governing the
structure of anomalies in 6d N=(1,0) and 4d N=1 theories obtained from
F-theory.
| [
{
"created": "Tue, 12 Dec 2017 19:00:03 GMT",
"version": "v1"
}
] | 2018-05-23 | [
[
"Weigand",
"Timo",
""
],
[
"Xu",
"Fengjun",
""
]
] | We study the structure of gauge and gravitational anomalies in 2d N=(0,2) theories obtained by compactification of F-theory on elliptically fibered Calabi-Yau 5-folds. Abelian gauge anomalies, induced at 1-loop in perturbation theory, are cancelled by a generalized Green-Schwarz mechanism operating at the level of chiral scalar fields in the 2d supergravity theory. We derive closed expressions for the gravitational and the non-abelian and abelian gauge anomalies including the Green-Schwarz counterterms. These expressions involve topological invariants of the underlying elliptic fibration and the gauge background thereon. Cancellation of anomalies in the effective theory predicts intricate topological identities which must hold on every elliptically fibered Calabi-Yau 5-fold. We verify these relations in a non-trivial example, but their proof from a purely mathematical perspective remains as an interesting open problem. Some of the identities we find on elliptic 5-folds are related in an intriguing way to previously studied topological identities governing the structure of anomalies in 6d N=(1,0) and 4d N=1 theories obtained from F-theory. |
2111.01141 | Justin Kaidi | Justin Kaidi, Kantaro Ohmori, Yunqin Zheng | Kramers-Wannier-like duality defects in (3+1)d gauge theories | 12 pages; v3: publication version | null | 10.1103/PhysRevLett.128.111601 | null | hep-th cond-mat.str-el | http://creativecommons.org/licenses/by/4.0/ | We introduce a class of non-invertible topological defects in (3+1)d gauge
theories whose fusion rules are the higher-dimensional analogs of those of the
Kramers-Wannier defect in the (1+1)d critical Ising model. As in the
lower-dimensional case, the presence of such non-invertible defects implies
self-duality under a particular gauging of their discrete (higher-form)
symmetries. Examples of theories with such a defect include SO(3) Yang-Mills
(YM) at $\theta = \pi$, $\mathcal{N}=1$ SO(3) super YM, and $\mathcal{N}=4$
SU(2) super YM at $\tau = i$. We also introduce an analogous construction in
(2+1)d, and give a number of examples in Chern-Simons-matter theories.
| [
{
"created": "Mon, 1 Nov 2021 18:00:00 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Dec 2021 03:57:10 GMT",
"version": "v2"
},
{
"created": "Sun, 17 Apr 2022 04:03:18 GMT",
"version": "v3"
}
] | 2022-04-19 | [
[
"Kaidi",
"Justin",
""
],
[
"Ohmori",
"Kantaro",
""
],
[
"Zheng",
"Yunqin",
""
]
] | We introduce a class of non-invertible topological defects in (3+1)d gauge theories whose fusion rules are the higher-dimensional analogs of those of the Kramers-Wannier defect in the (1+1)d critical Ising model. As in the lower-dimensional case, the presence of such non-invertible defects implies self-duality under a particular gauging of their discrete (higher-form) symmetries. Examples of theories with such a defect include SO(3) Yang-Mills (YM) at $\theta = \pi$, $\mathcal{N}=1$ SO(3) super YM, and $\mathcal{N}=4$ SU(2) super YM at $\tau = i$. We also introduce an analogous construction in (2+1)d, and give a number of examples in Chern-Simons-matter theories. |
hep-th/0603209 | Denis Perrot | Denis Perrot | Anomalies and noncommutative index theory | 38 pages | Contemp.Math.434:125-160,2007 | null | null | hep-th math-ph math.MP | null | These are the notes of a lecture given during the summer school "Geometric
and Topological Methods for Quantum Field Theory", Villa de Leyva, Colombia,
july 11 - 29, 2005. We review basic facts concerning gauge anomalies and
discuss the link with the Connes-Moscovici index formula in noncommutative
geometry.
| [
{
"created": "Mon, 27 Mar 2006 18:42:04 GMT",
"version": "v1"
}
] | 2009-04-02 | [
[
"Perrot",
"Denis",
""
]
] | These are the notes of a lecture given during the summer school "Geometric and Topological Methods for Quantum Field Theory", Villa de Leyva, Colombia, july 11 - 29, 2005. We review basic facts concerning gauge anomalies and discuss the link with the Connes-Moscovici index formula in noncommutative geometry. |
hep-th/0212154 | Juergen Reuter | J. Reuter (TU Darmstadt) | Supersymmetry of Scattering Amplitudes and Green Functions in
Perturbation Theory | Ph.D. Thesis, TU Darmstadt, 182 pages | null | null | null | hep-th hep-ph | null | We investigate the algebraic structure of supersymmetric Ward- and
Slavnov-Taylor identities (STI) in field theories with global supersymmetry. We
develop diagrammatical methods for STI in supersymmetric gauge theories within
a generalized BRST formalism. These identities are used as consistency checks
for the implementation of phenomenological supersymmetric models of elementary
particle physics in Monte Carlo simulations. We discuss the infrastructure
necessary for generalizing the matrix element generator O'Mega to
supersymmetric field theories.
| [
{
"created": "Fri, 13 Dec 2002 11:56:05 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Reuter",
"J.",
"",
"TU Darmstadt"
]
] | We investigate the algebraic structure of supersymmetric Ward- and Slavnov-Taylor identities (STI) in field theories with global supersymmetry. We develop diagrammatical methods for STI in supersymmetric gauge theories within a generalized BRST formalism. These identities are used as consistency checks for the implementation of phenomenological supersymmetric models of elementary particle physics in Monte Carlo simulations. We discuss the infrastructure necessary for generalizing the matrix element generator O'Mega to supersymmetric field theories. |
1904.01976 | PyungSeong Kwon | Eun Kyung Park and Pyung Seong Kwon | A torsion-free background solution of the string theory | null | Int. J. Geom. Methods Mod. Phys. 16 (2019) 1950079 | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We find a background solution of the string theory which has a special
property distinguished from the usual background solutions. This background
solution does not produce the NS-NS two-form fields under T-duality and
therefore the background vacua described by this solution essentially do not
involve NS-NS type branes in their configurations, unlikely to the case of the
ordinary Calabi-Yau ansatz. As a result the non-linear $\sigma$-models, whose
target space metrics are given by these T-dual partners, can both be
torsion-free.
| [
{
"created": "Wed, 3 Apr 2019 12:40:20 GMT",
"version": "v1"
}
] | 2019-07-04 | [
[
"Park",
"Eun Kyung",
""
],
[
"Kwon",
"Pyung Seong",
""
]
] | We find a background solution of the string theory which has a special property distinguished from the usual background solutions. This background solution does not produce the NS-NS two-form fields under T-duality and therefore the background vacua described by this solution essentially do not involve NS-NS type branes in their configurations, unlikely to the case of the ordinary Calabi-Yau ansatz. As a result the non-linear $\sigma$-models, whose target space metrics are given by these T-dual partners, can both be torsion-free. |
2311.16290 | Yuan Xin | A. Liam Fitzpatrick and Emanuel Katz and Yuan Xin | Lightcone Hamiltonian for Ising Field Theory I: T < T_c | 55 pages, 10 figures | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study 2d Ising Field Theory (IFT) in the low-temperature phase in
lightcone quantization, and show that integrating out zero modes generates a
very compact form for the effective lightcone interaction that depends on the
finite volume vacuum expectation value of the $\sigma$ operator. This form is
most naturally understood in a conformal basis for the lightcone Hilbert space.
We further verify that this simple form reproduces to high accuracy results for
the spectra, the $c$-function, and the form-factors from integrability methods
for the magnetic deformation of IFT. For generic non-integrable values of
parameters we also compute the above observables and compare our numeric
results to those of equal-time truncation. In particular, we report on new
measurements of various bound-state form-factors as well as the stress-tensor
spectral density. We find that the stress tensor spectral density provides
additional evidence that certain resonances of IFT are surprisingly narrow,
even at generic strong coupling. Explicit example code for constructing the
effective Hamiltonian is included in an appendix.
| [
{
"created": "Mon, 27 Nov 2023 20:06:52 GMT",
"version": "v1"
}
] | 2023-11-29 | [
[
"Fitzpatrick",
"A. Liam",
""
],
[
"Katz",
"Emanuel",
""
],
[
"Xin",
"Yuan",
""
]
] | We study 2d Ising Field Theory (IFT) in the low-temperature phase in lightcone quantization, and show that integrating out zero modes generates a very compact form for the effective lightcone interaction that depends on the finite volume vacuum expectation value of the $\sigma$ operator. This form is most naturally understood in a conformal basis for the lightcone Hilbert space. We further verify that this simple form reproduces to high accuracy results for the spectra, the $c$-function, and the form-factors from integrability methods for the magnetic deformation of IFT. For generic non-integrable values of parameters we also compute the above observables and compare our numeric results to those of equal-time truncation. In particular, we report on new measurements of various bound-state form-factors as well as the stress-tensor spectral density. We find that the stress tensor spectral density provides additional evidence that certain resonances of IFT are surprisingly narrow, even at generic strong coupling. Explicit example code for constructing the effective Hamiltonian is included in an appendix. |
0804.3446 | Ragavachariar Parthasarathy | R.Parthasarathy and K.S.Viswanathan | Low Energy Pion-Pion Elastic Scattering in Sakai-Sugimoto Model | 17 pages and 4 figures; Accepted for publication in Phys.Rev.D | Phys.Rev.D77:115002,2008 | 10.1103/PhysRevD.77.115002 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We have considered the holographic large $N_c$ QCD model proposed by Sakai
and Sugimoto and evaluated the non-Abelian DBI-action on the D8-brane upto
$(\alpha')^4$ terms. Restricting to the pion sector, these corrections give
rise to four derivative contact terms for the pion field. We derive the
Weinberg's phenemenological lagrangian. The coefficients of the four derivative
terms are determined in terms of $g_{YM}^2$. The low energy pion-pion
scattering amplitudes are evaluated. Numerical results are presented with the
choice of $M_{KK}=0.94 GeV$ and $N_c=11$. The results are compared with the
amplitudes calculated using the experimental phase shifts. The agreement with
the experimental data is found to be satisfactory.
| [
{
"created": "Tue, 22 Apr 2008 06:09:31 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Parthasarathy",
"R.",
""
],
[
"Viswanathan",
"K. S.",
""
]
] | We have considered the holographic large $N_c$ QCD model proposed by Sakai and Sugimoto and evaluated the non-Abelian DBI-action on the D8-brane upto $(\alpha')^4$ terms. Restricting to the pion sector, these corrections give rise to four derivative contact terms for the pion field. We derive the Weinberg's phenemenological lagrangian. The coefficients of the four derivative terms are determined in terms of $g_{YM}^2$. The low energy pion-pion scattering amplitudes are evaluated. Numerical results are presented with the choice of $M_{KK}=0.94 GeV$ and $N_c=11$. The results are compared with the amplitudes calculated using the experimental phase shifts. The agreement with the experimental data is found to be satisfactory. |
1006.4025 | Luca Fabbri | Luca Fabbri | Leptonic Electroweak Spin-Torsion Interactions | 7 pages | Mod.Phys.Lett.A26:1697-1705,2011 | 10.1142/S0217732311036097 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we consider the most general field equations for a system of
two fermions of which one single-handed, showing that the spin-torsion
interactions among these spinors have a structure identical to that of the
electroweak forces among leptons; possible extensions are discussed.
| [
{
"created": "Mon, 21 Jun 2010 10:33:32 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Oct 2010 14:02:54 GMT",
"version": "v2"
},
{
"created": "Fri, 5 Aug 2011 22:17:47 GMT",
"version": "v3"
}
] | 2011-08-09 | [
[
"Fabbri",
"Luca",
""
]
] | In this paper we consider the most general field equations for a system of two fermions of which one single-handed, showing that the spin-torsion interactions among these spinors have a structure identical to that of the electroweak forces among leptons; possible extensions are discussed. |
2112.04962 | Davide Astesiano | Davide Astesiano, Sergio L. Cacciatori, Alessio Marrani | Black hole attractors and U(1) Fayet-Iliopoulos gaugings: analysis and
classification | 58 pages,0 figures | null | 10.1007/JHEP04(2022)099 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We classify the critical points of the effective black hole potential which
governs the attractor mechanism taking place at the horizon of static dyonic
extremal black holes in $\mathcal{N}=2$, $D=4$ Maxwell-Einstein supergravity
with $U(1)$ Fayet-Iliopoulos gaugings. We use a manifestly symplectic covariant
formalism, and we consider both spherical and hyperbolic horizons, recognizing
the relevant sub-classes to which some representative examples belong. We also
exploit projective special K\"{a}hler geometry of vector multiplets scalar
manifolds, the $U$-duality-invariant quartic structure (and 2-polarizations
thereof) in order to retrieve and generalize various expressions of the entropy
of asymptotically AdS$_{4}$ BPS black holes, in the cases in which the scalar
manifolds are symmetric spaces. Finally, we present a novel static extremal
black hole solution to the $STU$ model, in which the dilaton interpolates
between an hyperbolic near-horizon geometry and AdS$_{4}$ at infinity.
| [
{
"created": "Thu, 9 Dec 2021 14:47:30 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Apr 2022 08:47:18 GMT",
"version": "v2"
}
] | 2022-05-04 | [
[
"Astesiano",
"Davide",
""
],
[
"Cacciatori",
"Sergio L.",
""
],
[
"Marrani",
"Alessio",
""
]
] | We classify the critical points of the effective black hole potential which governs the attractor mechanism taking place at the horizon of static dyonic extremal black holes in $\mathcal{N}=2$, $D=4$ Maxwell-Einstein supergravity with $U(1)$ Fayet-Iliopoulos gaugings. We use a manifestly symplectic covariant formalism, and we consider both spherical and hyperbolic horizons, recognizing the relevant sub-classes to which some representative examples belong. We also exploit projective special K\"{a}hler geometry of vector multiplets scalar manifolds, the $U$-duality-invariant quartic structure (and 2-polarizations thereof) in order to retrieve and generalize various expressions of the entropy of asymptotically AdS$_{4}$ BPS black holes, in the cases in which the scalar manifolds are symmetric spaces. Finally, we present a novel static extremal black hole solution to the $STU$ model, in which the dilaton interpolates between an hyperbolic near-horizon geometry and AdS$_{4}$ at infinity. |
hep-th/0201118 | Chong-Sun Chu | Chong-Sun Chu, Rodolfo Russo and Stefano Sciuto | Remarks on the Calculations of Charged Open String Amplitudes: the
1-loop Tadpole | 6 pages. Contribution to the proceedings of the RTN meeting ``The
Quantum Structure of Spacetime and the Geometric Nature of Fundamental
Interactions'', (Corfu, 13-20 September 2001) | Fortsch.Phys. 50 (2002) 871-877 | 10.1002/1521-3978(200209)50:8/9<871::AID-PROP871>3.0.CO;2-R | null | hep-th | null | In string theory, there are various physical situations where the world-sheet
fields have a shifted moding. For instance, this is the case for the twisted
closed string in Z_N orbifold or for the charged open string in a constant
electro-magnetic field. Because of this feature, it is quite challenging to
give explicit formulae describing the string interaction, even for the bosonic
case. In this note, we focus on the case of the charged open bosonic string and
construct the 1-loop tadpole which is an object generating all 1-point
functions from the annulus in the presence of an external field. In the
operator formalism, this represents one of the basic building blocks for the
construction of a general loop amplitude.
| [
{
"created": "Wed, 16 Jan 2002 10:42:08 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Chu",
"Chong-Sun",
""
],
[
"Russo",
"Rodolfo",
""
],
[
"Sciuto",
"Stefano",
""
]
] | In string theory, there are various physical situations where the world-sheet fields have a shifted moding. For instance, this is the case for the twisted closed string in Z_N orbifold or for the charged open string in a constant electro-magnetic field. Because of this feature, it is quite challenging to give explicit formulae describing the string interaction, even for the bosonic case. In this note, we focus on the case of the charged open bosonic string and construct the 1-loop tadpole which is an object generating all 1-point functions from the annulus in the presence of an external field. In the operator formalism, this represents one of the basic building blocks for the construction of a general loop amplitude. |
2112.14848 | Wan Cong Ms | Wan Cong, David Kubiznak, Robert Mann and Manus Visser | Holographic CFT Phase Transitions and Criticality for Charged AdS Black
Holes | 34 pages, 9 figures, 1 table. Comments on new ensembles added | null | 10.1007/JHEP08(2022)174 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the hololgraphic dual of the extended thermodynamics of spherically
symmetric, charged AdS black holes in the context of the AdS/CFT
correspondence. The gravitational thermodynamics of AdS black holes can be
extended by allowing for variations of the cosmological constant and Newton's
constant. In the dual CFT this corresponds to including the central charge $C$
and its chemical potential $\mu$ as a new pair of conjugate thermodynamic
variables, in addition to the standard pairs: temperature vs. entropy $(T,S)$,
electric potential vs. charge $(\tilde \Phi, \tilde Q)$ and field theory
pressure vs. volume $(p,{\cal V})$. For the (grand) canonical ensembles at
fixed $(\tilde Q, {\cal V}, C), (\tilde \Phi, {\cal V},C)$ and $(\tilde Q,
{\cal V}, \mu)$ we show the CFT description of charged AdS black holes contains
either critical phenomena or interesting phase behaviour. In the fixed $(\tilde
Q, \mathcal V, \mu)$ we find a new zeroth-order phase transition between a
high- and low-entropy phase at some $\mu$-dependent temperature. Finally, we
point out there is no critical behaviour in the fixed $p$ ensembles, i.e. there
is no $p - \cal V$ criticality, and hence the CFT state dual to a classical
charged black hole cannot be a Van der Waals fluid.
| [
{
"created": "Wed, 29 Dec 2021 22:17:07 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Aug 2022 06:44:33 GMT",
"version": "v2"
}
] | 2022-09-07 | [
[
"Cong",
"Wan",
""
],
[
"Kubiznak",
"David",
""
],
[
"Mann",
"Robert",
""
],
[
"Visser",
"Manus",
""
]
] | We study the hololgraphic dual of the extended thermodynamics of spherically symmetric, charged AdS black holes in the context of the AdS/CFT correspondence. The gravitational thermodynamics of AdS black holes can be extended by allowing for variations of the cosmological constant and Newton's constant. In the dual CFT this corresponds to including the central charge $C$ and its chemical potential $\mu$ as a new pair of conjugate thermodynamic variables, in addition to the standard pairs: temperature vs. entropy $(T,S)$, electric potential vs. charge $(\tilde \Phi, \tilde Q)$ and field theory pressure vs. volume $(p,{\cal V})$. For the (grand) canonical ensembles at fixed $(\tilde Q, {\cal V}, C), (\tilde \Phi, {\cal V},C)$ and $(\tilde Q, {\cal V}, \mu)$ we show the CFT description of charged AdS black holes contains either critical phenomena or interesting phase behaviour. In the fixed $(\tilde Q, \mathcal V, \mu)$ we find a new zeroth-order phase transition between a high- and low-entropy phase at some $\mu$-dependent temperature. Finally, we point out there is no critical behaviour in the fixed $p$ ensembles, i.e. there is no $p - \cal V$ criticality, and hence the CFT state dual to a classical charged black hole cannot be a Van der Waals fluid. |
1607.00188 | Alberto Alonso-Izquierdo Dr | Alberto Alonso-Izquierdo and Juan Mateos-Guilarte | Higgs phase in a gauge $\mathbf{U}(1)$ non-linear $\mathbf{CP}^1$-model.
Two species of BPS vortices and their zero modes | 17 pages, 28 figures | Symmetry 9 (2016) 91 | 10.3390/sym8090091 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper zero modes of fluctuation are dissected around the two species
of BPS vortices existing in the critical Higgs phase, where the scalar and
vector meson masses are equal, of a gauged $\mathbb{U}(1)$ nonlinear
$\mathbb{CP}^1$-model. If $2\pi n$, $n\in \mathbb{Z}$, is the quantized
magnetic flux of the two species of BPS vortex solutions, $2n$ linearly
independent vortex zero modes for each species are found and described. The
existence of two species of moduli spaces of dimension $2n$ of these stringy
topological defects is thus locally shown.
| [
{
"created": "Fri, 1 Jul 2016 10:06:26 GMT",
"version": "v1"
}
] | 2017-11-29 | [
[
"Alonso-Izquierdo",
"Alberto",
""
],
[
"Mateos-Guilarte",
"Juan",
""
]
] | In this paper zero modes of fluctuation are dissected around the two species of BPS vortices existing in the critical Higgs phase, where the scalar and vector meson masses are equal, of a gauged $\mathbb{U}(1)$ nonlinear $\mathbb{CP}^1$-model. If $2\pi n$, $n\in \mathbb{Z}$, is the quantized magnetic flux of the two species of BPS vortex solutions, $2n$ linearly independent vortex zero modes for each species are found and described. The existence of two species of moduli spaces of dimension $2n$ of these stringy topological defects is thus locally shown. |
0810.5415 | Anton Kapustin | Anton Kapustin, Lev Rozansky, Natalia Saulina | Three-dimensional topological field theory and symplectic algebraic
geometry I | 76 pages, AMS-latex. v2: references, acknowledgments, and a
discussion of grading ambiguities have been added | null | 10.1016/j.nuclphysb.2009.01.027 | null | hep-th math.AG math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study boundary conditions and defects in a three-dimensional topological
sigma-model with a complex symplectic target space X (the Rozansky-Witten
model). We show that boundary conditions correspond to complex Lagrangian
submanifolds in X equipped with complex fibrations. The set of boundary
conditions has the structure of a 2-category; morphisms in this 2-category are
interpreted physically as one-dimensional defect lines separating parts of the
boundary with different boundary conditions. This 2-category is a
categorification of the Z/2-graded derived category of X; it is also related to
categories of matrix factorizations and a categorification of deformation
quantization (quantization of symmetric monoidal categories). In the appendix
we describe a deformation of the B-model and the associated category of branes
by forms of arbitrary even degree.
| [
{
"created": "Thu, 30 Oct 2008 04:30:10 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Nov 2008 20:54:21 GMT",
"version": "v2"
}
] | 2015-05-13 | [
[
"Kapustin",
"Anton",
""
],
[
"Rozansky",
"Lev",
""
],
[
"Saulina",
"Natalia",
""
]
] | We study boundary conditions and defects in a three-dimensional topological sigma-model with a complex symplectic target space X (the Rozansky-Witten model). We show that boundary conditions correspond to complex Lagrangian submanifolds in X equipped with complex fibrations. The set of boundary conditions has the structure of a 2-category; morphisms in this 2-category are interpreted physically as one-dimensional defect lines separating parts of the boundary with different boundary conditions. This 2-category is a categorification of the Z/2-graded derived category of X; it is also related to categories of matrix factorizations and a categorification of deformation quantization (quantization of symmetric monoidal categories). In the appendix we describe a deformation of the B-model and the associated category of branes by forms of arbitrary even degree. |
1807.07673 | Lucrezia Ravera | Diego M. Pe\~nafiel, Lucrezia Ravera | Generalized cosmological term in D=4 supergravity from a new AdS-Lorentz
superalgebra | 25 pages. This is a preprint of the article published in Eur. Phys.
J. C 78 (2018) no.11, 945. The final authenticated version is available
online at: https://doi.org/10.1140/epjc/s10052-018-6421-9 | Eur. Phys. J. C 78 (2018) no.11, 945 | 10.1140/epjc/s10052-018-6421-9 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | A new supersymmetrization of the so-called AdS-Lorentz algebra is presented.
It involves two fermionic generators and is obtained by performing an abelian
semigroup expansion of the superalgebra osp(4|1). The peculiar properties of
the aforesaid expansion method are then exploited to construct a D=4
supergravity action involving a generalized supersymmetric cosmological term in
a geometric way, only from the curvatures of the novel superalgebra. The action
obtained with this procedure is a MacDowell-Mansouri like action. Gauge
invariance and supersymmetry of the action are also analyzed.
| [
{
"created": "Fri, 20 Jul 2018 00:26:00 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Nov 2018 17:47:46 GMT",
"version": "v2"
}
] | 2018-11-26 | [
[
"Peñafiel",
"Diego M.",
""
],
[
"Ravera",
"Lucrezia",
""
]
] | A new supersymmetrization of the so-called AdS-Lorentz algebra is presented. It involves two fermionic generators and is obtained by performing an abelian semigroup expansion of the superalgebra osp(4|1). The peculiar properties of the aforesaid expansion method are then exploited to construct a D=4 supergravity action involving a generalized supersymmetric cosmological term in a geometric way, only from the curvatures of the novel superalgebra. The action obtained with this procedure is a MacDowell-Mansouri like action. Gauge invariance and supersymmetry of the action are also analyzed. |
1504.03155 | David Ridout | Michael Canagasabey and Jorgen Rasmussen and David Ridout | Fusion rules for the logarithmic $N=1$ superconformal minimal models I:
the Neveu-Schwarz sector | 37 pages, 6 figures, v2 added clarifying remarks | null | 10.1088/1751-8113/48/41/415402 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is now well known that non-local observables in critical statistical
lattice models, polymers and percolation for example, may be modelled in the
continuum scaling limit by logarithmic conformal field theories. Fusion rules
for such theories, sometimes referred to as logarithmic minimal models, have
been intensively studied over the last ten years in order to explore the
representation-theoretic structures relevant to non-local observables.
Motivated by recent lattice conjectures, this work studies the fusion rules of
the $N=1$ supersymmetric analogues of these logarithmic minimal models in the
Neveu-Schwarz sector. Fusion rules involving Ramond representations will be
addressed in a sequel.
| [
{
"created": "Mon, 13 Apr 2015 12:51:35 GMT",
"version": "v1"
},
{
"created": "Sun, 30 Aug 2015 13:54:37 GMT",
"version": "v2"
}
] | 2015-09-30 | [
[
"Canagasabey",
"Michael",
""
],
[
"Rasmussen",
"Jorgen",
""
],
[
"Ridout",
"David",
""
]
] | It is now well known that non-local observables in critical statistical lattice models, polymers and percolation for example, may be modelled in the continuum scaling limit by logarithmic conformal field theories. Fusion rules for such theories, sometimes referred to as logarithmic minimal models, have been intensively studied over the last ten years in order to explore the representation-theoretic structures relevant to non-local observables. Motivated by recent lattice conjectures, this work studies the fusion rules of the $N=1$ supersymmetric analogues of these logarithmic minimal models in the Neveu-Schwarz sector. Fusion rules involving Ramond representations will be addressed in a sequel. |
hep-th/0603233 | Andrew Frey | Andrew R. Frey and Anshuman Maharana | Warped Spectroscopy: Localization of Frozen Bulk Modes | 24pp + appendices, 6 figs, JHEP3 class; v2. corrected reference; v3.
added clarifications; v4. corrected typos | JHEP0608:021,2006 | 10.1088/1126-6708/2006/08/021 | CALT-68-2591 | hep-th hep-ph | null | We study the 10D equation of motion of dilaton-axion fluctuations in type IIB
string compactifications with three-form flux, taking warping into account.
Using simplified models with physics comparable to actual compactifications, we
argue that the lightest mode localizes in long warped throats and takes a mass
of order the warped string scale. Also, Gukov-Vafa-Witten superpotential is
valid for the lightest mass mode; however, the mass is similar to the
Kaluza-Klein scale, so the dilaton-axion should be integrated out of the
effective theory in this long throat regime (leaving a constant
superpotential). On the other hand, there is a large hierarchy between
flux-induced and KK mass scales for moderate or weak warping. This hierarchy
agrees with arguments given for trivial warping. Along the way, we also
estimate the effect of the other 10D supergravity equations of motion on the
dilaton-axion fluctuation, since these equations act as constraints. We argue
that they give negligible corrections to the simplest approximation.
| [
{
"created": "Wed, 29 Mar 2006 20:51:14 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Mar 2006 21:30:36 GMT",
"version": "v2"
},
{
"created": "Tue, 25 Apr 2006 17:41:15 GMT",
"version": "v3"
},
{
"created": "Mon, 25 Sep 2006 16:12:49 GMT",
"version": "v4"
}
] | 2009-11-11 | [
[
"Frey",
"Andrew R.",
""
],
[
"Maharana",
"Anshuman",
""
]
] | We study the 10D equation of motion of dilaton-axion fluctuations in type IIB string compactifications with three-form flux, taking warping into account. Using simplified models with physics comparable to actual compactifications, we argue that the lightest mode localizes in long warped throats and takes a mass of order the warped string scale. Also, Gukov-Vafa-Witten superpotential is valid for the lightest mass mode; however, the mass is similar to the Kaluza-Klein scale, so the dilaton-axion should be integrated out of the effective theory in this long throat regime (leaving a constant superpotential). On the other hand, there is a large hierarchy between flux-induced and KK mass scales for moderate or weak warping. This hierarchy agrees with arguments given for trivial warping. Along the way, we also estimate the effect of the other 10D supergravity equations of motion on the dilaton-axion fluctuation, since these equations act as constraints. We argue that they give negligible corrections to the simplest approximation. |
1712.09921 | Giorgi Tukhashvili | Gregory Gabadadze and Giorgi Tukhashvili | Holographic CBK Relation | 16 latex pages, 4 figures; v2: comments and references added; a
remark about Schwinger's paper corrected; to appear in PLB | Physics Letters B 782 (2018) 202-209 | 10.1016/j.physletb.2018.05.024 | NYU-TH-12/31/17 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Crewther-Broadhurst-Kataev (CBK) relation connects the Bjorken function
for deep-inelastic sum rules (or the Gross - Llewellyn Smith function) with the
Adler function for electron-positron annihilation in QCD; it has been checked
to hold up to four loops in perturbation theory. Here we study non-perturbative
terms in the CBK relation using a holographic dual theory that is believed to
capture properties of QCD. We show that for the large invariant momenta the
perturbative CBK relation is exactly satisfied. For the small momenta
non-perturbative corrections enter the relation and we calculate their
significant effects. We also give an exact holographic expression for the
Bjorken function, as well as for the entire three-point axial-vector-vector
correlation function, and check their consistency in the conformal limit.
| [
{
"created": "Thu, 28 Dec 2017 16:43:19 GMT",
"version": "v1"
},
{
"created": "Thu, 24 May 2018 20:31:19 GMT",
"version": "v2"
}
] | 2018-05-28 | [
[
"Gabadadze",
"Gregory",
""
],
[
"Tukhashvili",
"Giorgi",
""
]
] | The Crewther-Broadhurst-Kataev (CBK) relation connects the Bjorken function for deep-inelastic sum rules (or the Gross - Llewellyn Smith function) with the Adler function for electron-positron annihilation in QCD; it has been checked to hold up to four loops in perturbation theory. Here we study non-perturbative terms in the CBK relation using a holographic dual theory that is believed to capture properties of QCD. We show that for the large invariant momenta the perturbative CBK relation is exactly satisfied. For the small momenta non-perturbative corrections enter the relation and we calculate their significant effects. We also give an exact holographic expression for the Bjorken function, as well as for the entire three-point axial-vector-vector correlation function, and check their consistency in the conformal limit. |
0804.3236 | Hidehiko Shimada | Hidehiko Shimada | $\beta$-deformation for matrix model of M-theory | 36 pages | Nucl.Phys.B813:283-314,2009 | 10.1016/j.nuclphysb.2008.08.018 | AEI-2008-025 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A new class of deformation of the matrix model of M-theory is considered. The
deformation is analogous to the so-called $\b$-deformation of $D=3+1$, $\mN=4$
Super Yang-Mills theory, which preserves the conformal symmetry. It is shown
that the deformed matrix model can be considered as a matrix model of M-theory
on a certain curved background in eleven-dimensional supergravity, under a
scaling limit involving the deformation parameter and $N$ (the size of the
matrices). The background belongs to the so-called pp-wave type metric with a
non-constant four-form flux depending linearly on transverse coordinates. Some
stable solutions of the deformed model are studied, which correspond to
membranes with the torus topology. In particular, it is found that apparently
distinct configurations of membranes, having different winding numbers, are
indistinguishable in the matrix model. Simultaneous introduction of both
$\b$-deformation and mass-deformation is also considered, and, in particular, a
situation is found in which the stable membrane configuration interpolates
between a torus and a sphere, depending on the values of the deformation
parameters.
| [
{
"created": "Mon, 21 Apr 2008 07:19:02 GMT",
"version": "v1"
}
] | 2010-05-28 | [
[
"Shimada",
"Hidehiko",
""
]
] | A new class of deformation of the matrix model of M-theory is considered. The deformation is analogous to the so-called $\b$-deformation of $D=3+1$, $\mN=4$ Super Yang-Mills theory, which preserves the conformal symmetry. It is shown that the deformed matrix model can be considered as a matrix model of M-theory on a certain curved background in eleven-dimensional supergravity, under a scaling limit involving the deformation parameter and $N$ (the size of the matrices). The background belongs to the so-called pp-wave type metric with a non-constant four-form flux depending linearly on transverse coordinates. Some stable solutions of the deformed model are studied, which correspond to membranes with the torus topology. In particular, it is found that apparently distinct configurations of membranes, having different winding numbers, are indistinguishable in the matrix model. Simultaneous introduction of both $\b$-deformation and mass-deformation is also considered, and, in particular, a situation is found in which the stable membrane configuration interpolates between a torus and a sphere, depending on the values of the deformation parameters. |
1702.04205 | Mikhail Volkov | Charles Mazuet, Shinji Mukohyama, and Mikhail S. Volkov | Anisotropic deformations of spatially open cosmology in massive gravity
theory | 34 pages, 3 figures, references added | null | 10.1088/1475-7516/2017/04/039 | YITP17-14, IPMU17-0033 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study anisotropic deformations of the spatially open homogeneous and
isotropic cosmology in the ghost free massive gravity theory with flat
reference metric. We find that if the initial perturbations are not too strong
then the physical metric relaxes back to the isotropic de Sitter state.
However, the dumping of the anisotropies is achieved at the expense of exciting
the Stueckelberg fields in such a way that the reference metric changes and
does not share anymore with the physical metric the same rotational and
translational symmetries. As a result, the universe evolves towards a fixed
point which does not coincide with the original solution, but for which the
physical metric is still de Sitter. If the initial perturbation is strong, then
its evolution generically leads to a singular anisotropic state or, for some
parameter values, to a decay into flat spacetime. We also present an infinite
dimensional family of new homogeneous and isotropic cosmologies in the theory.
| [
{
"created": "Tue, 14 Feb 2017 13:40:02 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Feb 2017 06:07:32 GMT",
"version": "v2"
}
] | 2017-05-03 | [
[
"Mazuet",
"Charles",
""
],
[
"Mukohyama",
"Shinji",
""
],
[
"Volkov",
"Mikhail S.",
""
]
] | We study anisotropic deformations of the spatially open homogeneous and isotropic cosmology in the ghost free massive gravity theory with flat reference metric. We find that if the initial perturbations are not too strong then the physical metric relaxes back to the isotropic de Sitter state. However, the dumping of the anisotropies is achieved at the expense of exciting the Stueckelberg fields in such a way that the reference metric changes and does not share anymore with the physical metric the same rotational and translational symmetries. As a result, the universe evolves towards a fixed point which does not coincide with the original solution, but for which the physical metric is still de Sitter. If the initial perturbation is strong, then its evolution generically leads to a singular anisotropic state or, for some parameter values, to a decay into flat spacetime. We also present an infinite dimensional family of new homogeneous and isotropic cosmologies in the theory. |
hep-th/9809018 | D. V. Antonov | Dmitri Antonov and Dietmar Ebert (Humboldt University, Berlin) | String Representation of Field Correlators in the SU(3)-Gluodynamics | 11 pages, LaTeX2e, no figures | Phys.Lett.B444:208-216,1998 | 10.1016/S0370-2693(98)01383-5 | HUB-EP-98/55 | hep-th | null | The string representation of the Abelian projected SU(3)-gluodynamics
partition function is derived by using the path-integral duality
transformation. On this basis, we also derive analogous representations for the
generating functionals of correlators of gluonic field strength tensors and
monopole currents, which are finally applied to the evaluation of the
corresponding bilocal correlators. The large distance asymptotic behaviours of
the latter turn out to be in a good agreement with existing lattice data and
the Stochastic Model of the QCD vacuum.
| [
{
"created": "Wed, 2 Sep 1998 16:44:57 GMT",
"version": "v1"
}
] | 2010-05-27 | [
[
"Antonov",
"Dmitri",
"",
"Humboldt University, Berlin"
],
[
"Ebert",
"Dietmar",
"",
"Humboldt University, Berlin"
]
] | The string representation of the Abelian projected SU(3)-gluodynamics partition function is derived by using the path-integral duality transformation. On this basis, we also derive analogous representations for the generating functionals of correlators of gluonic field strength tensors and monopole currents, which are finally applied to the evaluation of the corresponding bilocal correlators. The large distance asymptotic behaviours of the latter turn out to be in a good agreement with existing lattice data and the Stochastic Model of the QCD vacuum. |
2402.05167 | Nicholas Agia | Nicholas Agia and Daniel L. Jafferis | The 2d Free Boson Minkowski CFT with Asymptotic Charges | 40 pages, 4 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explicitly construct the states of the 2d free boson on the infinite line
with specified asymptotic charges. The Minkowski CFT states derive from (the
analytic continuation of) the shrinking limit of Euclidean angular
quantization, wherein the superselection sector for fixed asymptotic charges
corresponds to specific endpoint operators for the angular quantization on the
sphere. When applied to string theory, we obtain a new class of fundamental
strings that are neither open nor closed and which we dub "stretched strings".
We describe constant-time snapshots of the worldsheets of the different types
of stretched strings, and as a special case we find a heuristic picture of
Maldacena's "long strings" in the $c=1$ string theory.
| [
{
"created": "Wed, 7 Feb 2024 19:00:00 GMT",
"version": "v1"
}
] | 2024-02-09 | [
[
"Agia",
"Nicholas",
""
],
[
"Jafferis",
"Daniel L.",
""
]
] | We explicitly construct the states of the 2d free boson on the infinite line with specified asymptotic charges. The Minkowski CFT states derive from (the analytic continuation of) the shrinking limit of Euclidean angular quantization, wherein the superselection sector for fixed asymptotic charges corresponds to specific endpoint operators for the angular quantization on the sphere. When applied to string theory, we obtain a new class of fundamental strings that are neither open nor closed and which we dub "stretched strings". We describe constant-time snapshots of the worldsheets of the different types of stretched strings, and as a special case we find a heuristic picture of Maldacena's "long strings" in the $c=1$ string theory. |
2312.09306 | Felipe Diaz-Jaramillo | Roberto Bonezzi, Christoph Chiaffrino, Felipe Diaz-Jaramillo, Olaf
Hohm | Tree-level Scattering Amplitudes via Homotopy Transfer | 72 pages, v2: introduction improved, references added | null | null | HU-EP-23/67-RTG | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | We formalize the computation of tree-level scattering amplitudes in terms of
the homotopy transfer of homotopy algebras, illustrating it with scalar
$\phi^3$ and Yang-Mills theory. The data of a (gauge) field theory with an
action is encoded in a cyclic homotopy Lie or $L_{\infty}$ algebra defined on a
chain complex including a space of fields. This $L_{\infty}$ structure can be
transported, by means of homotopy transfer, to a smaller space that, in the
massless case, consists of harmonic fields. The required homotopy maps are
well-defined since we work with the space of finite sums of plane-wave
solutions. The resulting $L_{\infty}$ brackets encode the tree-level scattering
amplitudes and satisfy generalized Jacobi identities that imply the Ward
identities. We further present a method to compute color-ordered scattering
amplitudes for Yang-Mills theory, using that its $L_{\infty}$ algebra is the
tensor product of the color Lie algebra with a homotopy commutative associative
or $C_{\infty}$ algebra. The color-ordered scattering amplitudes are then
obtained by homotopy transfer of $C_{\infty}$ algebras.
| [
{
"created": "Thu, 14 Dec 2023 19:21:10 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Jan 2024 21:50:16 GMT",
"version": "v2"
}
] | 2024-01-11 | [
[
"Bonezzi",
"Roberto",
""
],
[
"Chiaffrino",
"Christoph",
""
],
[
"Diaz-Jaramillo",
"Felipe",
""
],
[
"Hohm",
"Olaf",
""
]
] | We formalize the computation of tree-level scattering amplitudes in terms of the homotopy transfer of homotopy algebras, illustrating it with scalar $\phi^3$ and Yang-Mills theory. The data of a (gauge) field theory with an action is encoded in a cyclic homotopy Lie or $L_{\infty}$ algebra defined on a chain complex including a space of fields. This $L_{\infty}$ structure can be transported, by means of homotopy transfer, to a smaller space that, in the massless case, consists of harmonic fields. The required homotopy maps are well-defined since we work with the space of finite sums of plane-wave solutions. The resulting $L_{\infty}$ brackets encode the tree-level scattering amplitudes and satisfy generalized Jacobi identities that imply the Ward identities. We further present a method to compute color-ordered scattering amplitudes for Yang-Mills theory, using that its $L_{\infty}$ algebra is the tensor product of the color Lie algebra with a homotopy commutative associative or $C_{\infty}$ algebra. The color-ordered scattering amplitudes are then obtained by homotopy transfer of $C_{\infty}$ algebras. |
1506.01350 | Ioannis Iatrakis Mr. | Tara Drwenski, Umut Gursoy and Ioannis Iatrakis | Thermodynamics and CP-odd transport in Holographic QCD with Finite
Magnetic Field | 24 pages, 3 Figures | null | 10.1007/JHEP12(2016)049 | null | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a bottom-up holographic model of QCD at finite temperature T and
magnetic field B, and study dependence of thermodynamics and CP-odd transport
on these variables. As the magnetic field couples to the flavor sector only,
one should take the Veneziano limit where the number of flavors and colors are
large while their ratio is kept fixed. We investigate the corresponding
holographic background in the approximation where the ratio of flavors to
colors is finite but small. We demonstrate that B-dependence of the entropy of
QCD is in qualitative agreement with the recent lattice studies. Finally we
study the CP-odd transport properties of this system. In particular, we
determine the Chern-Simons decay rate at finite B and T, that is an important
ingredient in the Chiral Magnetic Effect.
| [
{
"created": "Wed, 3 Jun 2015 19:02:10 GMT",
"version": "v1"
}
] | 2017-02-01 | [
[
"Drwenski",
"Tara",
""
],
[
"Gursoy",
"Umut",
""
],
[
"Iatrakis",
"Ioannis",
""
]
] | We consider a bottom-up holographic model of QCD at finite temperature T and magnetic field B, and study dependence of thermodynamics and CP-odd transport on these variables. As the magnetic field couples to the flavor sector only, one should take the Veneziano limit where the number of flavors and colors are large while their ratio is kept fixed. We investigate the corresponding holographic background in the approximation where the ratio of flavors to colors is finite but small. We demonstrate that B-dependence of the entropy of QCD is in qualitative agreement with the recent lattice studies. Finally we study the CP-odd transport properties of this system. In particular, we determine the Chern-Simons decay rate at finite B and T, that is an important ingredient in the Chiral Magnetic Effect. |
1707.02898 | Takehiro Azuma | Takehiro Azuma (Setsunan U.), Pallab Basu (Bangalore, Indian Inst.
Sci.), Prasant Samantray (Bangalore, Indian Inst. Sci.) | Phase Transitions of a (Super) Quantum Mechanical Matrix Model with a
Chemical Potential | 20 pages, 28 figures, v2: some minor typos corrected | JHEP09(2017)071 | 10.1007/JHEP09(2017)071 | null | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we study the finite-temperature matrix quantum mechanics with
chemical potential term linear in the single trace of U(N) matrices, via Monte
Carlo simulation. In the bosonic case, we exhibit the existence of the
Gross-Witten-Wadia (GWW) type third-order phase transition. We also extend our
studies to the model with the fermionic degrees of freedom employing the
non-lattice simulation via Fourier expansion, and explore the possibilities
that there is a phase transition between the gapped and ungapped phase both in
the absence and presence of the chemical potential term. We make a comparison
of the phase diagram between the bosonic and fermionic cases.
| [
{
"created": "Mon, 10 Jul 2017 15:06:05 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Sep 2017 10:51:52 GMT",
"version": "v2"
}
] | 2017-09-19 | [
[
"Azuma",
"Takehiro",
"",
"Setsunan U."
],
[
"Basu",
"Pallab",
"",
"Bangalore, Indian Inst.\n Sci."
],
[
"Samantray",
"Prasant",
"",
"Bangalore, Indian Inst. Sci."
]
] | In this paper, we study the finite-temperature matrix quantum mechanics with chemical potential term linear in the single trace of U(N) matrices, via Monte Carlo simulation. In the bosonic case, we exhibit the existence of the Gross-Witten-Wadia (GWW) type third-order phase transition. We also extend our studies to the model with the fermionic degrees of freedom employing the non-lattice simulation via Fourier expansion, and explore the possibilities that there is a phase transition between the gapped and ungapped phase both in the absence and presence of the chemical potential term. We make a comparison of the phase diagram between the bosonic and fermionic cases. |
hep-th/9809137 | Alfredo HerreraAguilar | Alfredo Herrera-Aguilar and Oleg Kechkin | Multi--dimensional IWP Solutions for Heterotic String Theory | 11 pages in LaTex | Class.Quant.Grav.16:1745-1753,1999 | 10.1088/0264-9381/16/6/309 | null | hep-th | null | We present extremal stationary solutions that generalize the
Israel-Wilson-Perjes class for the d+3-dimensional low-energy limit of
heterotic string theory with n >= d+1 U(1) gauge fields compactified on a
d-torus. A rotating axisymmetric dyonic solution is obtained using the matrix
Ernst potential formulation and expressed in terms of a single d+1 X d+1-matrix
harmonic function. By studying the asymptotic behaviour of the field
configurations we define the physical charges of the field system. The
extremality condition makes the charges to saturate the
Bogomol'nyi-Prasad-Sommerfield (BPS) bound. The gyromagnetic ratios of the
corresponding field configurations appear to have arbitrary values. A subclass
of rotating dyonic black hole-type solutions arises when the NUT charges are
set to zero. In the particular case d=1, n=6, which correspond to N=4, D=4
supergravity, the found dyon reproduces the supersymmetric dyonic solution
constructed by Bergshoeff et al.
| [
{
"created": "Fri, 18 Sep 1998 21:05:23 GMT",
"version": "v1"
}
] | 2010-11-19 | [
[
"Herrera-Aguilar",
"Alfredo",
""
],
[
"Kechkin",
"Oleg",
""
]
] | We present extremal stationary solutions that generalize the Israel-Wilson-Perjes class for the d+3-dimensional low-energy limit of heterotic string theory with n >= d+1 U(1) gauge fields compactified on a d-torus. A rotating axisymmetric dyonic solution is obtained using the matrix Ernst potential formulation and expressed in terms of a single d+1 X d+1-matrix harmonic function. By studying the asymptotic behaviour of the field configurations we define the physical charges of the field system. The extremality condition makes the charges to saturate the Bogomol'nyi-Prasad-Sommerfield (BPS) bound. The gyromagnetic ratios of the corresponding field configurations appear to have arbitrary values. A subclass of rotating dyonic black hole-type solutions arises when the NUT charges are set to zero. In the particular case d=1, n=6, which correspond to N=4, D=4 supergravity, the found dyon reproduces the supersymmetric dyonic solution constructed by Bergshoeff et al. |
2105.07067 | Thomas Rochais | Thomas B. Rochais | Geometric Approaches to Quantum Fields and Strings at Strong Couplings | PhD thesis | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Geometric structures and dualities arise naturally in quantum field theories
and string theory. In fact, these tools become very useful when studying strong
coupling effects, where standard perturbative techniques can no longer be used.
In this thesis we look at several conformal field theories in various
dimensions. We first discuss the structure of the nilpotent networks stemming
from T-brane deformations in 4D $\mathcal{N}=1$ theories and then go to the
stringy origins of 6D superconformal field theories to realize deformations
associated with T-branes in terms of simple combinatorial data. We then analyze
non-perturbative generalizations of orientifold 3-planes (i.e. S-folds) in
order to produce different 4D $\mathcal{N}=2$ theories. Afterwards, we turn our
attention towards a few dualities found at strong coupling. For instance,
abelian T-duality is known to be a full duality in string theory between type
IIA and type IIB. Its nonabelian generalization, Poisson-Lie T-duality, has
only been conjectured to be so. We show that Poisson-Lie symmetric
$\sigma$-models are at least two-loop renormalizable and their
$\beta$-functions are invariant under Poisson-Lie T-duality. Finally, we review
recent progress leading to phenomenologically relevant dualities between
M-theory on local $G_2$ spaces and F-theory on locally elliptically fibered
Calabi-Yau fourfolds. In particular, we find that the 3D $\mathcal{N}=1$
effective field theory defined by M-theory on a local $Spin(7)$ space unifies
the Higgs bundle data associated with 4D $\mathcal{N}=1$ M-theory and F-theory
vacua. We finish with some comments on 3D interfaces at strong coupling.
| [
{
"created": "Fri, 14 May 2021 21:02:23 GMT",
"version": "v1"
}
] | 2021-05-18 | [
[
"Rochais",
"Thomas B.",
""
]
] | Geometric structures and dualities arise naturally in quantum field theories and string theory. In fact, these tools become very useful when studying strong coupling effects, where standard perturbative techniques can no longer be used. In this thesis we look at several conformal field theories in various dimensions. We first discuss the structure of the nilpotent networks stemming from T-brane deformations in 4D $\mathcal{N}=1$ theories and then go to the stringy origins of 6D superconformal field theories to realize deformations associated with T-branes in terms of simple combinatorial data. We then analyze non-perturbative generalizations of orientifold 3-planes (i.e. S-folds) in order to produce different 4D $\mathcal{N}=2$ theories. Afterwards, we turn our attention towards a few dualities found at strong coupling. For instance, abelian T-duality is known to be a full duality in string theory between type IIA and type IIB. Its nonabelian generalization, Poisson-Lie T-duality, has only been conjectured to be so. We show that Poisson-Lie symmetric $\sigma$-models are at least two-loop renormalizable and their $\beta$-functions are invariant under Poisson-Lie T-duality. Finally, we review recent progress leading to phenomenologically relevant dualities between M-theory on local $G_2$ spaces and F-theory on locally elliptically fibered Calabi-Yau fourfolds. In particular, we find that the 3D $\mathcal{N}=1$ effective field theory defined by M-theory on a local $Spin(7)$ space unifies the Higgs bundle data associated with 4D $\mathcal{N}=1$ M-theory and F-theory vacua. We finish with some comments on 3D interfaces at strong coupling. |
hep-th/0701159 | Nobuhiro Uekusa | Nobuhiro Uekusa | Dependence of SU(N) coupling behavior on the size of extra dimensions | 13 pages, 4 figures; minor changes addressed and references added | Phys.Rev.D75:064014,2007 | 10.1103/PhysRevD.75.064014 | HIP-2007-02/TH | hep-th hep-ph | null | Coupling constants at high energy scales are studied in SU(N) gauge theory
with distinct sizes of extra dimensions. We present the solution of gauge
couplings as functions of the energy in such a way as to track the number of
Kaluza-Klein modes. In a flat extra dimension, it is shown that the gauge
couplings have logarithmic dependence on the size of the extra dimension and
linear dependence on the number of Kaluza-Klein modes. We find some patterns of
the dependence on flavor of bulk and brane fermions. Dependence of gauge
couplings on the size of an extra dimension is discussed also in a warped extra
dimension.
| [
{
"created": "Wed, 17 Jan 2007 12:20:01 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Feb 2007 14:51:39 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Uekusa",
"Nobuhiro",
""
]
] | Coupling constants at high energy scales are studied in SU(N) gauge theory with distinct sizes of extra dimensions. We present the solution of gauge couplings as functions of the energy in such a way as to track the number of Kaluza-Klein modes. In a flat extra dimension, it is shown that the gauge couplings have logarithmic dependence on the size of the extra dimension and linear dependence on the number of Kaluza-Klein modes. We find some patterns of the dependence on flavor of bulk and brane fermions. Dependence of gauge couplings on the size of an extra dimension is discussed also in a warped extra dimension. |
hep-th/0512350 | Takahiro Azuma | Takahiro Azuma (Dokkyo University), Takao Koikawa (Otsuma Women's
University) | Infinite Number of Stationary Soliton Solutions to Five-dimensional
Vacuum Einstein Equation | 13 pages | Prog.Theor.Phys.116:319-328,2006 | 10.1143/PTP.116.319 | null | hep-th | null | We obtain an infinite number of soliton solutions to the the five-dimensional
stationary Einstein equation with axial symmetry by using the inverse
scattering method. We start with the five-dimensional Minkowski space as a seed
metric to obtain these solutions. The solutions are characterized by two
soliton numbers and a constant appearing in the normalization factor related to
a coordinate condition. We show that the (2,0)-soliton solution is identical to
the Myers-Perry solution with one angular momentum by imposing a condition
between parameters. We also show that the (2,2)-soliton solution is different
from the black ring solution discovered by Emparan and Reall, although one
component of the metric of two metrics can be identical.
| [
{
"created": "Fri, 30 Dec 2005 08:19:32 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Azuma",
"Takahiro",
"",
"Dokkyo University"
],
[
"Koikawa",
"Takao",
"",
"Otsuma Women's\n University"
]
] | We obtain an infinite number of soliton solutions to the the five-dimensional stationary Einstein equation with axial symmetry by using the inverse scattering method. We start with the five-dimensional Minkowski space as a seed metric to obtain these solutions. The solutions are characterized by two soliton numbers and a constant appearing in the normalization factor related to a coordinate condition. We show that the (2,0)-soliton solution is identical to the Myers-Perry solution with one angular momentum by imposing a condition between parameters. We also show that the (2,2)-soliton solution is different from the black ring solution discovered by Emparan and Reall, although one component of the metric of two metrics can be identical. |
1708.09753 | Douglas A. Singleton | Michael Ragsdale and Douglas Singleton | Schwinger effect for non-Abelian gauge bosons | 15 pages revtex, contribution to IF-YITP GR+HEP+Cosmo International
Symposium VI Naresuan University, Thailand | J.Phys.Conf.Ser. 883 (2017) no.1, 012014 | 10.1088/1742-6596/883/1/012014 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the Schwinger effect for the gauge bosons in an unbroken
non-Abelian gauge theory (e.g. the gluons of QCD). We consider both constant
"color electric" fields and "color magnetic" fields as backgrounds. As in the
Abelian Schwinger effect we find there is production of "gluons" for the color
electric field, but no particle production for the color magnetic field case.
Since the non-Abelian gauge bosons are massless there is no exponential
suppression of particle production due to the mass of the electron/positron
that one finds in the Abelian Schwinger effect. Despite the lack of an
exponential suppression of the gluon production rate due to the masslessness of
the gluons, we find that the critical field strength is even larger in the
non-Abelian case as compared to the Abelian case. This is the result of the
confinement phenomenon on QCD.
| [
{
"created": "Wed, 30 Aug 2017 16:15:42 GMT",
"version": "v1"
}
] | 2017-09-01 | [
[
"Ragsdale",
"Michael",
""
],
[
"Singleton",
"Douglas",
""
]
] | We investigate the Schwinger effect for the gauge bosons in an unbroken non-Abelian gauge theory (e.g. the gluons of QCD). We consider both constant "color electric" fields and "color magnetic" fields as backgrounds. As in the Abelian Schwinger effect we find there is production of "gluons" for the color electric field, but no particle production for the color magnetic field case. Since the non-Abelian gauge bosons are massless there is no exponential suppression of particle production due to the mass of the electron/positron that one finds in the Abelian Schwinger effect. Despite the lack of an exponential suppression of the gluon production rate due to the masslessness of the gluons, we find that the critical field strength is even larger in the non-Abelian case as compared to the Abelian case. This is the result of the confinement phenomenon on QCD. |
2011.14687 | Asato Tsuchiya | Masami Matsumoto, Gota Tanaka, Asato Tsuchiya | Renormalization group and diffusion equation | 16 pages, published version | Prog. Theor. Exp. Phys. (2021) 023B02 | 10.1093/ptep/ptaa175 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the relationship between the renormalization group and the diffusion
equation. We consider the exact renormalization group equation for a scalar
field that includes an arbitrary cutoff function and an arbitrary quadratic
seed action. As a generalization of the result obtained by Sonoda and Suzuki,
we find that the correlation functions of diffused fields with respect to the
bare action agree with those of bare fields with respect to the effective
action, where the diffused field obeys a generalized diffusion equation
determined by the cutoff function and the seed action and agrees with the bare
field at the initial time.
| [
{
"created": "Mon, 30 Nov 2020 10:57:19 GMT",
"version": "v1"
},
{
"created": "Sun, 7 Mar 2021 23:33:55 GMT",
"version": "v2"
}
] | 2021-03-09 | [
[
"Matsumoto",
"Masami",
""
],
[
"Tanaka",
"Gota",
""
],
[
"Tsuchiya",
"Asato",
""
]
] | We study the relationship between the renormalization group and the diffusion equation. We consider the exact renormalization group equation for a scalar field that includes an arbitrary cutoff function and an arbitrary quadratic seed action. As a generalization of the result obtained by Sonoda and Suzuki, we find that the correlation functions of diffused fields with respect to the bare action agree with those of bare fields with respect to the effective action, where the diffused field obeys a generalized diffusion equation determined by the cutoff function and the seed action and agrees with the bare field at the initial time. |
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