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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0707.0825 | Alexei Deriglazov A | A. A. Deriglazov | Construction of Lagrangian local symmetries for general quadratic theory | null | Int.J.Mod.Phys.A22:2105-2118,2007 | 10.1142/S0217751X07035185 | null | hep-th math-ph math.MP | null | We propose a procedure which allows one to construct local symmetry
generators of general quadratic Lagrangian theory. Manifest recurrence
relations for generators in terms of so-called structure matrices of the Dirac
formalism are obtained. The procedure fulfilled in terms of initial variables
of the theory, and do not implies either separation of constraints on first and
second class subsets or any other choice of basis for constraints.
| [
{
"created": "Thu, 5 Jul 2007 19:20:51 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Deriglazov",
"A. A.",
""
]
] | We propose a procedure which allows one to construct local symmetry generators of general quadratic Lagrangian theory. Manifest recurrence relations for generators in terms of so-called structure matrices of the Dirac formalism are obtained. The procedure fulfilled in terms of initial variables of the theory, and do not implies either separation of constraints on first and second class subsets or any other choice of basis for constraints. |
hep-th/9702127 | null | Stefano De Leo (Dip. di Fisica, INFN, Lecce) | Quaternionic Electroweak Theory and CKM Matrix | 8, Revtex, Int. J. Theor. Phys. (to be published) | Int.J.Theor.Phys. 36 (1997) 1165-1178 | 10.1007/BF02435807 | null | hep-th | null | We find in our quaternionic version of the electroweak theory an apparently
hopeless problem: In going from complex to quaternions, the calculation of the
real-valued parameters of the CKM matrix drastically changes. We aim to explain
this quaternionic puzzle.
| [
{
"created": "Mon, 17 Feb 1997 10:13:20 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"De Leo",
"Stefano",
"",
"Dip. di Fisica, INFN, Lecce"
]
] | We find in our quaternionic version of the electroweak theory an apparently hopeless problem: In going from complex to quaternions, the calculation of the real-valued parameters of the CKM matrix drastically changes. We aim to explain this quaternionic puzzle. |
1706.02702 | Peter Vastag | H. Reinhardt, G. Burgio, D. Campagnari, E. Ebadati, J. Heffner, M.
Quandt, P. Vastag and H. Vogt | Hamiltonian approach to QCD in Coulomb gauge - a survey of recent
results | Talk given by H. Reinhardt at "5th Winter Workshop on
Non-Perturbative Quantum Field Theory", 22-24 March 2017, Sophia-Antipolis,
France. arXiv admin note: text overlap with arXiv:1609.09370,
arXiv:1510.03286, arXiv:1607.08143 | null | null | null | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | I report on recent results obtained within the Hamiltonian approach to QCD in
Coulomb gauge. Furthermore this approach is compared to recent lattice data,
which were obtained by an alternative gauge fixing method and which show an
improved agreement with the continuum results. By relating the Gribov
confinement scenario to the center vortex picture of confinement it is shown
that the Coulomb string tension is tied to the spatial string tension. For the
quark sector a vacuum wave functional is used which explicitly contains the
coupling of the quarks to the transverse gluons and which results in
variational equations which are free of ultraviolet divergences. The
variational approach is extended to finite temperatures by compactifying a
spatial dimension. The effective potential of the Polyakov loop is evaluated
from the zero-temperature variational solution. For pure Yang--Mills theory,
the deconfinement phase transition is found to be second order for SU(2) and
first order for SU(3), in agreement with the lattice results. The corresponding
critical temperatures are found to be $275 \, \mathrm{MeV}$ and $280 \,
\mathrm{MeV}$, respectively. When quarks are included, the deconfinement
transition turns into a cross-over. From the dual and chiral quark condensate
one finds pseudo-critical temperatures of $198 \, \mathrm{MeV}$ and $170 \,
\mathrm{MeV}$, respectively, for the deconfinement and chiral transition.
| [
{
"created": "Thu, 8 Jun 2017 10:01:01 GMT",
"version": "v1"
}
] | 2017-06-12 | [
[
"Reinhardt",
"H.",
""
],
[
"Burgio",
"G.",
""
],
[
"Campagnari",
"D.",
""
],
[
"Ebadati",
"E.",
""
],
[
"Heffner",
"J.",
""
],
[
"Quandt",
"M.",
""
],
[
"Vastag",
"P.",
""
],
[
"Vogt",
"H.",
""
]
] | I report on recent results obtained within the Hamiltonian approach to QCD in Coulomb gauge. Furthermore this approach is compared to recent lattice data, which were obtained by an alternative gauge fixing method and which show an improved agreement with the continuum results. By relating the Gribov confinement scenario to the center vortex picture of confinement it is shown that the Coulomb string tension is tied to the spatial string tension. For the quark sector a vacuum wave functional is used which explicitly contains the coupling of the quarks to the transverse gluons and which results in variational equations which are free of ultraviolet divergences. The variational approach is extended to finite temperatures by compactifying a spatial dimension. The effective potential of the Polyakov loop is evaluated from the zero-temperature variational solution. For pure Yang--Mills theory, the deconfinement phase transition is found to be second order for SU(2) and first order for SU(3), in agreement with the lattice results. The corresponding critical temperatures are found to be $275 \, \mathrm{MeV}$ and $280 \, \mathrm{MeV}$, respectively. When quarks are included, the deconfinement transition turns into a cross-over. From the dual and chiral quark condensate one finds pseudo-critical temperatures of $198 \, \mathrm{MeV}$ and $170 \, \mathrm{MeV}$, respectively, for the deconfinement and chiral transition. |
2206.10780 | Edward Witten | Venkatesa Chandrasekaran, Roberto Longo, Geoff Penington, and Edward
Witten | An Algebra of Observables for de Sitter Space | 54 pages, v2: added references, v3,v4: minor corrections, v5:
correction at end of section 2.4 | null | 10.1007/JHEP02(2023)082 | null | hep-th gr-qc math-ph math.MP math.OA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe an algebra of observables for a static patch in de Sitter space,
with operators gravitationally dressed to the worldline of an observer. The
algebra is a von Neumann algebra of Type II$_1$. There is a natural notion of
entropy for a state of such an algebra. There is a maximum entropy state, which
corresponds to empty de Sitter space, and the entropy of any semiclassical
state of the Type II$_1$ algebras agrees, up to an additive constant
independent of the state, with the expected generalized entropy
$S_{\text{gen}}=(A/4G_N)+S_{\text{out}}$. An arbitrary additive constant is
present because of the renormalization that is involved in defining entropy for
a Type II$_1$ algebra.
| [
{
"created": "Wed, 22 Jun 2022 00:22:20 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Jun 2022 07:09:07 GMT",
"version": "v2"
},
{
"created": "Wed, 28 Sep 2022 18:18:58 GMT",
"version": "v3"
},
{
"created": "Mon, 9 Jan 2023 19:23:32 GMT",
"version": "v4"
},
{
"created": "Mon, 3 Jul 2023 14:54:23 GMT",
"version": "v5"
}
] | 2023-07-04 | [
[
"Chandrasekaran",
"Venkatesa",
""
],
[
"Longo",
"Roberto",
""
],
[
"Penington",
"Geoff",
""
],
[
"Witten",
"Edward",
""
]
] | We describe an algebra of observables for a static patch in de Sitter space, with operators gravitationally dressed to the worldline of an observer. The algebra is a von Neumann algebra of Type II$_1$. There is a natural notion of entropy for a state of such an algebra. There is a maximum entropy state, which corresponds to empty de Sitter space, and the entropy of any semiclassical state of the Type II$_1$ algebras agrees, up to an additive constant independent of the state, with the expected generalized entropy $S_{\text{gen}}=(A/4G_N)+S_{\text{out}}$. An arbitrary additive constant is present because of the renormalization that is involved in defining entropy for a Type II$_1$ algebra. |
hep-th/9611157 | Oleg Zaboronsky | Oleg Zaboronsky | Dimensional reduction in supersymmetric field theories | 11 pages, Latex ,no figures | null | null | null | hep-th | null | A class of quantum field theories invariant with respect to the action of an
odd vector field Q on a source supermanifold $\Sigma$ is considered. We suppose
that Q satisfies the conditions under which an integral of any Q-invariant
function over $\Sigma$ localizes to the zero locus of Q. The Q-invariant sector
of a field theory from the class above is shown then to be equivalent to the
quantum field theory defined on zero locus of the vector field Q.
| [
{
"created": "Wed, 20 Nov 1996 17:37:50 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Zaboronsky",
"Oleg",
""
]
] | A class of quantum field theories invariant with respect to the action of an odd vector field Q on a source supermanifold $\Sigma$ is considered. We suppose that Q satisfies the conditions under which an integral of any Q-invariant function over $\Sigma$ localizes to the zero locus of Q. The Q-invariant sector of a field theory from the class above is shown then to be equivalent to the quantum field theory defined on zero locus of the vector field Q. |
1811.09647 | David Turton | Samir D. Mathur, David Turton | The fuzzball nature of two-charge black hole microstates | 26 pages, 1 figure | Nucl. Phys. B 945 (2019) 114684 | 10.1016/j.nuclphysb.2019.114684 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It has been suggested by A. Sen that the entropy of two-charge supersymmetric
bound states in string theory should be accounted for by adding the entropy of
source-free horizonless supergravity solutions to the entropy associated with
the horizons of small black holes. This would imply that the entropy arises
differently depending on the duality frame: in the D1-D5 frame one would count
source-free horizonless solutions, while in the NS1-P frame one would compute
the area of a horizon. This might lead to the belief that the microstates are
described by fuzzball solutions in the D1-D5 duality frame but by a black hole
with a horizon in the latter. We argue that this is not the case, and that the
microstates are fuzzballs in all duality frames. We observe that the scaling
argument used by Sen fails to account for the entropy in the D1-P and other
duality frames. We also note that the traditional extremal black hole solution
is not a complete string background, since finite-action paths connect the
exterior near-horizon extremal throat to the region inside the horizon,
including the singularity. The singularity of the traditional black hole
solution does not give a valid boundary condition for a fundamental string;
correcting this condition by resolving the singularity modifies the black hole
to a fuzzball with no horizon. We argue that for questions of counting states,
the traditional black hole solution should be understood through its Euclidean
continuation as a saddle point, and that the Lorentzian states being counted
are fuzzballs in all duality frames.
| [
{
"created": "Fri, 23 Nov 2018 19:21:47 GMT",
"version": "v1"
}
] | 2021-01-05 | [
[
"Mathur",
"Samir D.",
""
],
[
"Turton",
"David",
""
]
] | It has been suggested by A. Sen that the entropy of two-charge supersymmetric bound states in string theory should be accounted for by adding the entropy of source-free horizonless supergravity solutions to the entropy associated with the horizons of small black holes. This would imply that the entropy arises differently depending on the duality frame: in the D1-D5 frame one would count source-free horizonless solutions, while in the NS1-P frame one would compute the area of a horizon. This might lead to the belief that the microstates are described by fuzzball solutions in the D1-D5 duality frame but by a black hole with a horizon in the latter. We argue that this is not the case, and that the microstates are fuzzballs in all duality frames. We observe that the scaling argument used by Sen fails to account for the entropy in the D1-P and other duality frames. We also note that the traditional extremal black hole solution is not a complete string background, since finite-action paths connect the exterior near-horizon extremal throat to the region inside the horizon, including the singularity. The singularity of the traditional black hole solution does not give a valid boundary condition for a fundamental string; correcting this condition by resolving the singularity modifies the black hole to a fuzzball with no horizon. We argue that for questions of counting states, the traditional black hole solution should be understood through its Euclidean continuation as a saddle point, and that the Lorentzian states being counted are fuzzballs in all duality frames. |
1509.03505 | Nilay Kundu | Dileep P. Jatkar and Nilay Kundu | Exploring Lovelock theory moduli space for Schroedinger solutions | 22 pages, Title changed, contents revised with focus on Schroedinger
solutions, extra references added, to match with the version published in
Nucl. Phys. B | Nucl.Phys. B910 (2016) 273-292 | 10.1016/j.nuclphysb.2016.07.008 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We look for Schroedinger solutions in Lovelock gravity in $D > 4$. We span
the entire parameter space and determine parametric relations under which the
Schroedinger solution exists. We find that in arbitrary dimensions pure
Lovelock theories have Schroedinger solutions of arbitrary radius, on a
co-dimension one locus in the Lovelock parameter space. This co-dimension one
locus contains the subspace over which the Lovelock gravity can be written in
the Chern-Simons form. Schroedinger solutions do not exist outside this locus
and on this locus they exist for arbitrary dynamical exponent z. This freedom
in z is due to the degeneracy in the configuration space. We show that this
degeneracy survives certain deformation away from the Lovelock moduli space.
| [
{
"created": "Fri, 11 Sep 2015 13:46:13 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Oct 2015 13:54:52 GMT",
"version": "v2"
},
{
"created": "Thu, 21 Jul 2016 18:15:02 GMT",
"version": "v3"
}
] | 2016-07-22 | [
[
"Jatkar",
"Dileep P.",
""
],
[
"Kundu",
"Nilay",
""
]
] | We look for Schroedinger solutions in Lovelock gravity in $D > 4$. We span the entire parameter space and determine parametric relations under which the Schroedinger solution exists. We find that in arbitrary dimensions pure Lovelock theories have Schroedinger solutions of arbitrary radius, on a co-dimension one locus in the Lovelock parameter space. This co-dimension one locus contains the subspace over which the Lovelock gravity can be written in the Chern-Simons form. Schroedinger solutions do not exist outside this locus and on this locus they exist for arbitrary dynamical exponent z. This freedom in z is due to the degeneracy in the configuration space. We show that this degeneracy survives certain deformation away from the Lovelock moduli space. |
hep-th/9303091 | Tatsuo Kobayshi | Tatsuo Kobayashi | Quantum Deformed $su(m|n)$ Algebra and Superconformal Algebra on Quantum
Superspace | 27 pages, KUCP-59, LaTeX file | Z.Phys. C60 (1993) 101-110 | 10.1007/BF01650435 | null | hep-th | null | We study a deformed $su(m|n)$ algebra on a quantum superspace. Some
interesting aspects of the deformed algebra are shown. As an application of the
deformed algebra we construct a deformed superconformal algebra. {}From the
deformed $su(1|4)$ algebra, we derive deformed Lorentz, translation of
Minkowski space, $iso(2,2)$ and its supersymmetric algebras as closed
subalgebras with consistent automorphisms.
| [
{
"created": "Tue, 16 Mar 1993 06:21:15 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Kobayashi",
"Tatsuo",
""
]
] | We study a deformed $su(m|n)$ algebra on a quantum superspace. Some interesting aspects of the deformed algebra are shown. As an application of the deformed algebra we construct a deformed superconformal algebra. {}From the deformed $su(1|4)$ algebra, we derive deformed Lorentz, translation of Minkowski space, $iso(2,2)$ and its supersymmetric algebras as closed subalgebras with consistent automorphisms. |
2208.09043 | Lukasz Bratek | {\L}ukasz Bratek and Joanna Ja{\l}ocha | On the issue of magnetic monopoles in the prospect of UHE photon
searches | the final version of this manuscript belongs to the Special Issue
"Ultra High Energy Photons" | Universe 2022, 8(8), 422 | 10.3390/universe8080422 | null | hep-th astro-ph.HE | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | (also inside: this manuscript introduces the reader to the argument against
the existence of magnetic monopoles, which forms an essential part of
Staruszkiewicz's Quantum Mechanics of the Electric Charge)
Ultra-high energy (UHE) photons with energies exceeding $10^{18}\eV$ can
potentially be observed. They are produced in various processes involving
electrically charged particles. However, more exotic scenarios are also
possible. UHE photons could be emitted in encounters of massive magnetically
charged monopole--antimonopole pairs or in processes associated with monopoles
accelerated to high energies, typically $10^{21}\eV$ or beyond. Observing UHE
photons can pose constraints on the properties of magnetic monopoles.
There are compelling theoretical reasons in favor of the presence of magnetic
monopoles in nature. The predicted observational signatures of these particles
are therefore searched for in dedicated experiments currently in operation.
Despite these attempts, magnetic monopoles have yet to be empirically proved.
There are also theoretical reasons why magnetic monopoles allowed by Dirac's
theory might not be realized in nature in the form of isolated particles.
Detection or non-detection of UHE photon signatures of magnetic monopoles would
bring us closer to solving this fascinating puzzle.
| [
{
"created": "Thu, 18 Aug 2022 19:54:27 GMT",
"version": "v1"
}
] | 2022-08-22 | [
[
"Bratek",
"Łukasz",
""
],
[
"Jałocha",
"Joanna",
""
]
] | (also inside: this manuscript introduces the reader to the argument against the existence of magnetic monopoles, which forms an essential part of Staruszkiewicz's Quantum Mechanics of the Electric Charge) Ultra-high energy (UHE) photons with energies exceeding $10^{18}\eV$ can potentially be observed. They are produced in various processes involving electrically charged particles. However, more exotic scenarios are also possible. UHE photons could be emitted in encounters of massive magnetically charged monopole--antimonopole pairs or in processes associated with monopoles accelerated to high energies, typically $10^{21}\eV$ or beyond. Observing UHE photons can pose constraints on the properties of magnetic monopoles. There are compelling theoretical reasons in favor of the presence of magnetic monopoles in nature. The predicted observational signatures of these particles are therefore searched for in dedicated experiments currently in operation. Despite these attempts, magnetic monopoles have yet to be empirically proved. There are also theoretical reasons why magnetic monopoles allowed by Dirac's theory might not be realized in nature in the form of isolated particles. Detection or non-detection of UHE photon signatures of magnetic monopoles would bring us closer to solving this fascinating puzzle. |
2309.04592 | Mathieu Giroux | Mathieu Giroux, Andrzej Pokraka, Franziska Porkert and Yoann Sohnle | Looping the loops: a tale of elliptic dual Feynman integrals | Contribution to RADCOR 2023, 8 pages | null | null | null | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | In this talk, we review a loop-by-loop approach used to generate differential
equations for multi-scale (dual) Feynman integrals. We illustrate the method on
a well-established example: the unequal mass elliptic sunrise.
| [
{
"created": "Fri, 8 Sep 2023 20:56:10 GMT",
"version": "v1"
}
] | 2023-09-12 | [
[
"Giroux",
"Mathieu",
""
],
[
"Pokraka",
"Andrzej",
""
],
[
"Porkert",
"Franziska",
""
],
[
"Sohnle",
"Yoann",
""
]
] | In this talk, we review a loop-by-loop approach used to generate differential equations for multi-scale (dual) Feynman integrals. We illustrate the method on a well-established example: the unequal mass elliptic sunrise. |
1006.4452 | Olindo Corradini | Olindo Corradini | Half-integer Higher Spin Fields in (A)dS from Spinning Particle Models | 1+18 pages; minor changes in the notation, references updated.
Published version | JHEP 1009:113,2010 | 10.1007/JHEP09(2010)113 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We make use of O(2r+1) spinning particle models to construct linearized
higher-spin curvatures in (A)dS spaces for fields of arbitrary half-integer
spin propagating in a space of arbitrary (even) dimension: the field
potentials, whose curvatures are computed with the present models, are
spinor-tensors of mixed symmetry corresponding to Young tableaux with D/2 - 1
rows and r columns, thus reducing to totally symmetric spinor-tensors in four
dimensions. The paper generalizes similar results obtained in the context of
integer spins in (A)dS.
| [
{
"created": "Wed, 23 Jun 2010 09:25:24 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Jul 2010 10:38:48 GMT",
"version": "v2"
},
{
"created": "Tue, 5 Oct 2010 09:55:54 GMT",
"version": "v3"
}
] | 2014-11-21 | [
[
"Corradini",
"Olindo",
""
]
] | We make use of O(2r+1) spinning particle models to construct linearized higher-spin curvatures in (A)dS spaces for fields of arbitrary half-integer spin propagating in a space of arbitrary (even) dimension: the field potentials, whose curvatures are computed with the present models, are spinor-tensors of mixed symmetry corresponding to Young tableaux with D/2 - 1 rows and r columns, thus reducing to totally symmetric spinor-tensors in four dimensions. The paper generalizes similar results obtained in the context of integer spins in (A)dS. |
1809.02344 | Shin'ichi Nojiri | Taisaku Mori and Shin'ichi Nojiri | Topological Gravity motivated by Renormalization Group | LaTeX 10 pages, to appear in Symmetry | null | 10.3390/sym10090396 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently we have proposed models of topological field theory including
gravity in Mod. Phys. Lett. A 31 (2016) no.37, 1650213 and Phys. Rev. D 96
(2017) no.2, 024009, in order to solve the problem of the cosmological
constant. The Lagrangian densities of the models are BRS (Becchi-Rouet-Stora)
exact and therefore the models can be regarded as topological theories. In the
models, the coupling constants, including the cosmological constant, look as if
they run with the scale of the universe and its behavior is very similar to the
renormalization group. Motivated by these models, we propose new models with an
the infrared fixed point, which may correspond to the late time universe, and
an ultraviolet fixed point, which may correspond to the early universe.
Especially we construct a model with the solutions corresponding to the de
Sitter space-time both in the ultraviolet and the infrared fixed points.
| [
{
"created": "Fri, 7 Sep 2018 08:18:02 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Jul 2019 09:44:20 GMT",
"version": "v2"
}
] | 2019-07-16 | [
[
"Mori",
"Taisaku",
""
],
[
"Nojiri",
"Shin'ichi",
""
]
] | Recently we have proposed models of topological field theory including gravity in Mod. Phys. Lett. A 31 (2016) no.37, 1650213 and Phys. Rev. D 96 (2017) no.2, 024009, in order to solve the problem of the cosmological constant. The Lagrangian densities of the models are BRS (Becchi-Rouet-Stora) exact and therefore the models can be regarded as topological theories. In the models, the coupling constants, including the cosmological constant, look as if they run with the scale of the universe and its behavior is very similar to the renormalization group. Motivated by these models, we propose new models with an the infrared fixed point, which may correspond to the late time universe, and an ultraviolet fixed point, which may correspond to the early universe. Especially we construct a model with the solutions corresponding to the de Sitter space-time both in the ultraviolet and the infrared fixed points. |
2302.10042 | Shao-Jiang Wang Prof. | Li Li, Shao-Jiang Wang, Zi-Yan Yuwen | Bubble expansion at strong coupling | v1, 5 pages + 1 appendix, 2 figures; v2, 11 pages, 3 figures,
accepted for publication in Phys. Rev. D; v3, typos corrected, references
added, to match the published version | Phys. Rev. D 108 (2023) 096033 | 10.1103/PhysRevD.108.096033 | null | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The cosmological first-order phase transition (FOPT) can be of strong
dynamics but with its bubble wall velocity difficult to be determined due to
lack of detailed collision terms. Recent holographic numerical simulations of
strongly coupled theories with a FOPT prefer a relatively small wall velocity
linearly correlated with the phase pressure difference between false and true
vacua for a planar wall. In this Letter, we have analytically revealed the
non-relativistic limit of a planar/cylindrical/spherical wall expansion of a
bubble strongly interacting with the thermal plasma. The planar-wall result
reproduces the linear relation found previously in the holographic numerical
simulations. The results for cylindrical and spherical walls can be directly
tested in future numerical simulations. Once confirmed, the bubble wall
velocity for a strongly coupled FOPT can be expressed purely in terms of the
hydrodynamics without invoking the underlying microphysics.
| [
{
"created": "Mon, 20 Feb 2023 15:45:06 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Oct 2023 15:51:33 GMT",
"version": "v2"
},
{
"created": "Mon, 13 Nov 2023 14:30:31 GMT",
"version": "v3"
}
] | 2023-11-30 | [
[
"Li",
"Li",
""
],
[
"Wang",
"Shao-Jiang",
""
],
[
"Yuwen",
"Zi-Yan",
""
]
] | The cosmological first-order phase transition (FOPT) can be of strong dynamics but with its bubble wall velocity difficult to be determined due to lack of detailed collision terms. Recent holographic numerical simulations of strongly coupled theories with a FOPT prefer a relatively small wall velocity linearly correlated with the phase pressure difference between false and true vacua for a planar wall. In this Letter, we have analytically revealed the non-relativistic limit of a planar/cylindrical/spherical wall expansion of a bubble strongly interacting with the thermal plasma. The planar-wall result reproduces the linear relation found previously in the holographic numerical simulations. The results for cylindrical and spherical walls can be directly tested in future numerical simulations. Once confirmed, the bubble wall velocity for a strongly coupled FOPT can be expressed purely in terms of the hydrodynamics without invoking the underlying microphysics. |
hep-th/9210154 | Alex Kovner | A. Kovner and B. Rosenstein | New Look at QED$_4$: the Photon as a Goldstone Boson and the Topological
Interpretation of Electric Charge | 24 pages, latex. 3 figures available on request. LA-UR-92-3478 | Phys.Rev. D49 (1994) 5571-5581 | 10.1103/PhysRevD.49.5571 | null | hep-th | null | We develop the dual picture for Quantum Electrodynamics in 3+1 dimensions. It
is shown that the photon is massless in the Coulomb phase due to spontaneous
breaking of the magnetic symmetry group. The generators of this group are the
magnetic fluxes through any infinite surface $\Phi_S$. The order parameter for
this symmetry breaking is the operator $V(C)$ which creates an infinitely long
magnetic vortex. We show that although the order parameter is a stringlike
rather than a local operator, the Goldstone theorem is applicable if $<V(C)>\ne
0$. If the system is properly regularized in the infrared, we find $<V(C)>\ne
0$ in the Coulomb phase and $V(C)=0$ in the Higgs phase. The Higgs - Coulomb
phase transition is therefore understood as condensation of magnetic vortices.
The electric charge in terms of $V(C)$ is topological and is equal to the
winding number of the mapping from a circle at spatial infinity into the
manifold of possible vacuum expectation values of a magnetic vortex in a given
direction. Since the vortex operator takes values in $S^1$ and
$\Pi_1(S^1)={\cal Z}$, the electric charge is quantized topologically.
| [
{
"created": "Thu, 29 Oct 1992 21:07:39 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Kovner",
"A.",
""
],
[
"Rosenstein",
"B.",
""
]
] | We develop the dual picture for Quantum Electrodynamics in 3+1 dimensions. It is shown that the photon is massless in the Coulomb phase due to spontaneous breaking of the magnetic symmetry group. The generators of this group are the magnetic fluxes through any infinite surface $\Phi_S$. The order parameter for this symmetry breaking is the operator $V(C)$ which creates an infinitely long magnetic vortex. We show that although the order parameter is a stringlike rather than a local operator, the Goldstone theorem is applicable if $<V(C)>\ne 0$. If the system is properly regularized in the infrared, we find $<V(C)>\ne 0$ in the Coulomb phase and $V(C)=0$ in the Higgs phase. The Higgs - Coulomb phase transition is therefore understood as condensation of magnetic vortices. The electric charge in terms of $V(C)$ is topological and is equal to the winding number of the mapping from a circle at spatial infinity into the manifold of possible vacuum expectation values of a magnetic vortex in a given direction. Since the vortex operator takes values in $S^1$ and $\Pi_1(S^1)={\cal Z}$, the electric charge is quantized topologically. |
0811.2669 | Corneliu \c{S}ochichiu | Corneliu Sochichiu | Dilatation operator in 3d | 21 pages, no figures | JHEP 0903:042,2009 | 10.1088/1126-6708/2009/03/042 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The perturbative dilatation operator in 3d is constructed at the leading
two-loop order.
| [
{
"created": "Mon, 17 Nov 2008 10:57:14 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Nov 2008 23:32:54 GMT",
"version": "v2"
}
] | 2009-03-12 | [
[
"Sochichiu",
"Corneliu",
""
]
] | The perturbative dilatation operator in 3d is constructed at the leading two-loop order. |
2011.08542 | Fri{\dh}rik Freyr Gautason | Nikolay Bobev, Thomas Fischbacher, Fridrik Freyr Gautason, Krzysztof
Pilch | New AdS$_4$ Vacua in Dyonic ISO(7) Gauged Supergravity | 27 pages. v2: Minor corrections | null | 10.1007/JHEP02(2021)215 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We identify 219 AdS$_4$ solutions in four-dimensional dyonically gauged
ISO(7) $\mathcal{N}=8$ supergravity and present some of their properties. One
of the new solutions preserves $\mathcal{N}=1$ supersymmetry and provides a
rare explicit example of an AdS$_4$ vacuum dual to a 3d SCFT with no continuous
global symmetry. There are also two new non-supersymmetric solutions for which
all 70 scalar fields in the supergravity theory have masses above the BF bound.
All of these AdS$_4$ solutions can be uplifted to massive type IIA
supergravity. Motivated by this we present the low lying operator spectra of
the dual 3d CFTs for all known supersymmetric AdS$_4$ solutions in the theory
and organize them into superconformal multiplets.
| [
{
"created": "Tue, 17 Nov 2020 10:18:55 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Dec 2020 12:15:55 GMT",
"version": "v2"
}
] | 2021-03-17 | [
[
"Bobev",
"Nikolay",
""
],
[
"Fischbacher",
"Thomas",
""
],
[
"Gautason",
"Fridrik Freyr",
""
],
[
"Pilch",
"Krzysztof",
""
]
] | We identify 219 AdS$_4$ solutions in four-dimensional dyonically gauged ISO(7) $\mathcal{N}=8$ supergravity and present some of their properties. One of the new solutions preserves $\mathcal{N}=1$ supersymmetry and provides a rare explicit example of an AdS$_4$ vacuum dual to a 3d SCFT with no continuous global symmetry. There are also two new non-supersymmetric solutions for which all 70 scalar fields in the supergravity theory have masses above the BF bound. All of these AdS$_4$ solutions can be uplifted to massive type IIA supergravity. Motivated by this we present the low lying operator spectra of the dual 3d CFTs for all known supersymmetric AdS$_4$ solutions in the theory and organize them into superconformal multiplets. |
2305.05892 | Peng-Zhang He | Peng-Zhang He, Hai-Qing Zhang | Revisit the entanglement entropy with gravitational anomaly | 25 pages, 5 figures | JHEP11(2023)142 | 10.1007/JHEP11(2023)142 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | In this paper we study the entanglement entropy in the CFT$_2$, whose gravity
dual is AdS$_3$ spacetime with a Chern-Simons term. Using the generalized
Rindler method, we obtain the Rindler transformation in the two-dimensional
planar CFT and compute the entanglement entropy of the CFT with gravitational
anomalies. The conditions under which the entanglement entropy may have
anomalous contributions is also discussed. In addition, we present a relatively
general form of the Rindler AdS metric and compute its thermal entropy, which
agrees with the entanglement entropy in the field theory. Moreover, we utilize
the conformal transformation, which maps a cylinder to a plane, to compute the
entanglement entropy of the CFT residing on a cylinder, as well as the
entanglement entropy of the CFT at finite temperature on a plane. The
corresponding contribution of the Chern-Simons term in gravity to the black
hole thermal entropy is also obtained from this approach. These results are
important for further understandings of the two-dimensional CFT with
gravitational anomalies.
| [
{
"created": "Wed, 10 May 2023 04:32:36 GMT",
"version": "v1"
}
] | 2023-11-23 | [
[
"He",
"Peng-Zhang",
""
],
[
"Zhang",
"Hai-Qing",
""
]
] | In this paper we study the entanglement entropy in the CFT$_2$, whose gravity dual is AdS$_3$ spacetime with a Chern-Simons term. Using the generalized Rindler method, we obtain the Rindler transformation in the two-dimensional planar CFT and compute the entanglement entropy of the CFT with gravitational anomalies. The conditions under which the entanglement entropy may have anomalous contributions is also discussed. In addition, we present a relatively general form of the Rindler AdS metric and compute its thermal entropy, which agrees with the entanglement entropy in the field theory. Moreover, we utilize the conformal transformation, which maps a cylinder to a plane, to compute the entanglement entropy of the CFT residing on a cylinder, as well as the entanglement entropy of the CFT at finite temperature on a plane. The corresponding contribution of the Chern-Simons term in gravity to the black hole thermal entropy is also obtained from this approach. These results are important for further understandings of the two-dimensional CFT with gravitational anomalies. |
hep-th/0607251 | Maja Buric | Julius Wess | Differential calculus and gauge transformations on a deformed space | 14 pages, to appear in General Relativity and Gravitation Journal,
Obregon's Festschrift 2006, V2: misprints corrected | Gen.Rel.Grav.39:1121-1134,2007 | 10.1007/s10714-007-0459-6 | null | hep-th | null | Deformed gauge transformations on deformed coordinate spaces are considered
for any Lie algebra. The representation theory of this gauge group forces us to
work in a deformed Lie algebra as well. This deformation rests on a twisted
Hopf algebra, thus we can represent a twisted Hopf algebra on deformed spaces.
That leads to the construction of Lagrangian invariant under a twisted Lie
algebra.
| [
{
"created": "Mon, 31 Jul 2006 12:39:26 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Aug 2006 15:20:36 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Wess",
"Julius",
""
]
] | Deformed gauge transformations on deformed coordinate spaces are considered for any Lie algebra. The representation theory of this gauge group forces us to work in a deformed Lie algebra as well. This deformation rests on a twisted Hopf algebra, thus we can represent a twisted Hopf algebra on deformed spaces. That leads to the construction of Lagrangian invariant under a twisted Lie algebra. |
2402.06179 | Tomohiko Takahashi | Isao Kishimoto, Mako Kouga, Shigenori Seki, Tomohiko Takahashi | Closed string vertex operators with various ghost number | 1+24 pages, no figures | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We construct closed string vertex operators with various ghost numbers in
addition to the conventional ones, using the Faddeev-Popov procedure for the
gauge fixing of the conformal Killing group, from matter primary fields. We
find that these operators give solutions to the descent equations in the
framework of the BRST formalism. Similarly, we also construct solutions to the
descent equations for the dilaton vertex operator with the Lorentz covariant
form. Using the unintegrated vertex operator of the dilaton with the ghost
number three, we obtain the correct result of the tadpole amplitude on the
disk, including a non-zero contribution from a BRST exact term which comes from
a conformal transformation.
| [
{
"created": "Fri, 9 Feb 2024 04:35:00 GMT",
"version": "v1"
}
] | 2024-02-12 | [
[
"Kishimoto",
"Isao",
""
],
[
"Kouga",
"Mako",
""
],
[
"Seki",
"Shigenori",
""
],
[
"Takahashi",
"Tomohiko",
""
]
] | We construct closed string vertex operators with various ghost numbers in addition to the conventional ones, using the Faddeev-Popov procedure for the gauge fixing of the conformal Killing group, from matter primary fields. We find that these operators give solutions to the descent equations in the framework of the BRST formalism. Similarly, we also construct solutions to the descent equations for the dilaton vertex operator with the Lorentz covariant form. Using the unintegrated vertex operator of the dilaton with the ghost number three, we obtain the correct result of the tadpole amplitude on the disk, including a non-zero contribution from a BRST exact term which comes from a conformal transformation. |
2402.02073 | Andreas Gustavsson | Dongsu Bak, Andreas Gustavsson | The (1,0) tensor and hypermultiplets in loop space | 70 pages | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We show that the (1,0) tensor and hypermultiplet supersymmetry variations can
be uplifted to loop space. Upon dimensional reduction we make contact with
abelian five-dimensional super Yang-Mills, which has a nonabelian
generalization that we subsequently uplift back to loop space where we
conjecture a nonabelian generalization of the (1,0) supersymmetry variations
and demonstrate their on-shell closure.
| [
{
"created": "Sat, 3 Feb 2024 07:44:28 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Jul 2024 10:40:30 GMT",
"version": "v2"
}
] | 2024-07-23 | [
[
"Bak",
"Dongsu",
""
],
[
"Gustavsson",
"Andreas",
""
]
] | We show that the (1,0) tensor and hypermultiplet supersymmetry variations can be uplifted to loop space. Upon dimensional reduction we make contact with abelian five-dimensional super Yang-Mills, which has a nonabelian generalization that we subsequently uplift back to loop space where we conjecture a nonabelian generalization of the (1,0) supersymmetry variations and demonstrate their on-shell closure. |
hep-th/0207269 | Ahmed Jellal | Ahmed Jellal | Electrons-Holes on Noncommutative Plane and Hall Effect | 13 pages | null | null | null | hep-th | null | By considering N_e-electrons and N_h-holes together in uniform external
magnetic and electric fields, we end up with a total Hall conductivity
\sigma_{H}^{tot}, which is depending to the difference between N_e and N_h and
becomes null when N_e=N_h. Dealing with the same system but requiring that the
coordinates of plane are noncommuting, we obtain a new Hall conductivity
\sigma_{H}^{(tot,nc)}. In the limit N_e=N_h, we find that \sigma_{H}^{(tot,nc)}
is only noncommutativity parameters \theta_i-dependent, which means that
theoretically it is possible to have Hall effect without B. Moreover, at the
critical points \theta_e=l^2 and \theta_h=-l^2, we find that
\sigma_{H}^{(tot,nc)} becomes two times the usual Hall conductivity for an
noninteracting mixing system.
| [
{
"created": "Tue, 30 Jul 2002 14:01:40 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Jellal",
"Ahmed",
""
]
] | By considering N_e-electrons and N_h-holes together in uniform external magnetic and electric fields, we end up with a total Hall conductivity \sigma_{H}^{tot}, which is depending to the difference between N_e and N_h and becomes null when N_e=N_h. Dealing with the same system but requiring that the coordinates of plane are noncommuting, we obtain a new Hall conductivity \sigma_{H}^{(tot,nc)}. In the limit N_e=N_h, we find that \sigma_{H}^{(tot,nc)} is only noncommutativity parameters \theta_i-dependent, which means that theoretically it is possible to have Hall effect without B. Moreover, at the critical points \theta_e=l^2 and \theta_h=-l^2, we find that \sigma_{H}^{(tot,nc)} becomes two times the usual Hall conductivity for an noninteracting mixing system. |
1206.4362 | Sofiane Faci | Sofiane Faci | Conformal invariance: from Weyl to SO(2,d) | 5 pages, no figures. There are slight modifications to match with the
published version | EPL 101 (2013) 31002 | 10.1209/0295-5075/101/31002 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The present work deals with two different but subtilely related kinds of
conformal mappings: Weyl rescaling in $d>2$ dimensional spaces and SO(2,d)
transformations. We express how the difference between the two can be
compensated by diffeomorphic transformations. This is well known in the
framework of String Theory but in the particular case of $d=2$ spaces. Indeed,
the Polyakov formalism describes world-sheets in terms of two-dimensional
conformal field theory. On the other hand, B. Zumino had shown that a classical
four-dimensional Weyl-invariant field theory restricted to live in Minkowski
space leads to an SO(2,4)-invariant field theory. We extend Zumino's result to
relate Weyl and SO(2,d) symmetries in arbitrary conformally flat spaces (CFS).
This allows us to assert that a classical $SO(2,d)$-invariant field does not
distinguish, at least locally, between two different $d$-dimensional CFSs.
| [
{
"created": "Tue, 19 Jun 2012 23:26:18 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Jul 2012 21:07:11 GMT",
"version": "v2"
},
{
"created": "Fri, 10 Aug 2012 19:54:10 GMT",
"version": "v3"
},
{
"created": "Fri, 28 Sep 2012 01:24:57 GMT",
"version": "v4"
},
{
"created": "Thu, 1 Nov 2012 01:19:59 GMT",
"version": "v5"
},
{
"created": "Wed, 6 Mar 2013 21:04:52 GMT",
"version": "v6"
}
] | 2013-03-08 | [
[
"Faci",
"Sofiane",
""
]
] | The present work deals with two different but subtilely related kinds of conformal mappings: Weyl rescaling in $d>2$ dimensional spaces and SO(2,d) transformations. We express how the difference between the two can be compensated by diffeomorphic transformations. This is well known in the framework of String Theory but in the particular case of $d=2$ spaces. Indeed, the Polyakov formalism describes world-sheets in terms of two-dimensional conformal field theory. On the other hand, B. Zumino had shown that a classical four-dimensional Weyl-invariant field theory restricted to live in Minkowski space leads to an SO(2,4)-invariant field theory. We extend Zumino's result to relate Weyl and SO(2,d) symmetries in arbitrary conformally flat spaces (CFS). This allows us to assert that a classical $SO(2,d)$-invariant field does not distinguish, at least locally, between two different $d$-dimensional CFSs. |
hep-th/9810137 | Sylvester James Gates Jr. | S. James Gates, Jr. and Sergei M. Kuzenko | The CNM-Hypermultiplet Nexus | 23 p, LaTeX twice, no figures | Nucl.Phys. B543 (1999) 122-140 | 10.1016/S0550-3213(98)00870-0 | Univ. of Maryland Physics Dept. UMDEPP 98-133 | hep-th | null | We consider additional properties of CNM (chiral-nonminimal) models. We show
how 4D, N = 2 nonlinear sigma-models can be described solely in terms of N = 1
superfield CNM doublets. These actions are described by a Kahler potential
together with an infinite number (in the general case) of terms involving its
successively higher derivatives. We briefly discuss how N = 2 supersymmetric
extension of the previously proposed N = 1 CNM low-energy QCD effective action
can be achieved
| [
{
"created": "Mon, 19 Oct 1998 11:50:59 GMT",
"version": "v1"
}
] | 2012-08-27 | [
[
"Gates,",
"S. James",
"Jr."
],
[
"Kuzenko",
"Sergei M.",
""
]
] | We consider additional properties of CNM (chiral-nonminimal) models. We show how 4D, N = 2 nonlinear sigma-models can be described solely in terms of N = 1 superfield CNM doublets. These actions are described by a Kahler potential together with an infinite number (in the general case) of terms involving its successively higher derivatives. We briefly discuss how N = 2 supersymmetric extension of the previously proposed N = 1 CNM low-energy QCD effective action can be achieved |
1608.08836 | Gian Paolo Vacca | J. Bartels, C. Contreras and G. P. Vacca | Pomeron - Odderon interactions in a reggeon field theory | 26 pages, latex, 4 figures, version accepted for publication in PRD | Phys. Rev. D 95, 014013 (2017) | 10.1103/PhysRevD.95.014013 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we extend our recent non perturbative functional
renormalization group analysis of Reggeon Field Theory to the interactions of
Pomeron and Odderon fields. We establish the existence of a fixed point and its
universal properties, which exhibits a novel symmetry structure in the space of
Odderon-Pomeron interactions. As in our previous analysis, this part of our
program aims at the investigation of the IR limit of reggeon field theory (the
limit of high energies and large transverse distances). It should be seen in
the broader context of trying to connect the nonperturbative infrared region
(large transverse distances) with the UV region of small transverse distances
where the high energy limit of perturbative QCD applies.
| [
{
"created": "Wed, 31 Aug 2016 13:03:44 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Dec 2016 17:34:10 GMT",
"version": "v2"
}
] | 2017-01-18 | [
[
"Bartels",
"J.",
""
],
[
"Contreras",
"C.",
""
],
[
"Vacca",
"G. P.",
""
]
] | In this paper we extend our recent non perturbative functional renormalization group analysis of Reggeon Field Theory to the interactions of Pomeron and Odderon fields. We establish the existence of a fixed point and its universal properties, which exhibits a novel symmetry structure in the space of Odderon-Pomeron interactions. As in our previous analysis, this part of our program aims at the investigation of the IR limit of reggeon field theory (the limit of high energies and large transverse distances). It should be seen in the broader context of trying to connect the nonperturbative infrared region (large transverse distances) with the UV region of small transverse distances where the high energy limit of perturbative QCD applies. |
hep-th/0307068 | Finelli Fabio | Fabio Finelli | Study of a Class of Four Dimensional Nonsingular Cosmological Bounces | 16 pages, 10 figures | JCAP 0310 (2003) 011 | 10.1088/1475-7516/2003/10/011 | null | hep-th astro-ph gr-qc | null | We study a novel class of nonsingular time-symmetric cosmological bounces. In
this class of four dimensional models the bounce is induced by a perfect fluid
with a negative energy density. Metric perturbations are solved in an analytic
way all through the bounce. The conditions for generating a scale invariant
spectrum of tensor and scalar metric perturbations are discussed.
| [
{
"created": "Mon, 7 Jul 2003 17:03:57 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Finelli",
"Fabio",
""
]
] | We study a novel class of nonsingular time-symmetric cosmological bounces. In this class of four dimensional models the bounce is induced by a perfect fluid with a negative energy density. Metric perturbations are solved in an analytic way all through the bounce. The conditions for generating a scale invariant spectrum of tensor and scalar metric perturbations are discussed. |
1811.07362 | James Edwards Dr | Naser Ahmadiniaz, Olindo Corradini, James P. Edwards, Pablo Pisani | $U(N)$ Yang-Mills in non-commutative space time | 38 pages | null | 10.1007/JHEP04(2019)067 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present an approach to $U_\star(N)$ Yang-Mills theory in non-commutative
space based upon a novel phase-space analysis of the dynamical fields with
additional auxiliary variables that generate Lorentz structure and colour
degrees of freedom. To illustrate this formalism we compute the quadratic terms
in the effective action focusing on the planar divergences so as to extract the
$\beta$-function for the Yang-Mills coupling constant. Nonetheless the method
presented is general and can be applied to calculate the effective action at
arbitrary order of expansion in the coupling constant, including both planar
and non-planar contributions, and is well suited to the computation of low
energy one-loop scattering amplitudes.
| [
{
"created": "Sun, 18 Nov 2018 17:24:35 GMT",
"version": "v1"
}
] | 2019-05-01 | [
[
"Ahmadiniaz",
"Naser",
""
],
[
"Corradini",
"Olindo",
""
],
[
"Edwards",
"James P.",
""
],
[
"Pisani",
"Pablo",
""
]
] | We present an approach to $U_\star(N)$ Yang-Mills theory in non-commutative space based upon a novel phase-space analysis of the dynamical fields with additional auxiliary variables that generate Lorentz structure and colour degrees of freedom. To illustrate this formalism we compute the quadratic terms in the effective action focusing on the planar divergences so as to extract the $\beta$-function for the Yang-Mills coupling constant. Nonetheless the method presented is general and can be applied to calculate the effective action at arbitrary order of expansion in the coupling constant, including both planar and non-planar contributions, and is well suited to the computation of low energy one-loop scattering amplitudes. |
hep-th/9908169 | Mohab Abou-Zeid | Mohab Abou-Zeid, Bernard de Wit, Dieter Lust and Hermann Nicolai | Space-Time Supersymmetry, IIA/B Duality and M-Theory | LaTeX, 14 pages; v2:one reference added and extended discussion of
the BPS mass formula; v3: minor changes, to appear in PLB | Phys.Lett.B466:144-152,1999 | 10.1016/S0370-2693(99)01114-4 | AEI-1999-13; HUB-EP-99/43; THU-99/22 | hep-th | null | The connection between IIA superstring theory compactified on a circle of
radius R and IIB theory compactified on a circle of radius 1/R is reexamined
from the perspective of N=2, D=9 space-time supersymmetry. We argue that the
consistency of IIA/B duality requires the BPS states corresponding to momentum
and winding of either of the type-II superstrings to transform as inequivalent
supermultiplets. We show that this is indeed the case for any finite
compactification radius, thus providing a nontrivial confirmation of IIA/B
duality. From the point of view of N=2, D=9 supergravity, one is naturally led
to an SL(2,Z) invariant field theory that encompasses both the M-theory torus
and the Kaluza-Klein states of the IIB theory.
| [
{
"created": "Thu, 26 Aug 1999 09:31:59 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Sep 1999 14:56:56 GMT",
"version": "v2"
},
{
"created": "Mon, 27 Sep 1999 11:18:57 GMT",
"version": "v3"
}
] | 2009-10-07 | [
[
"Abou-Zeid",
"Mohab",
""
],
[
"de Wit",
"Bernard",
""
],
[
"Lust",
"Dieter",
""
],
[
"Nicolai",
"Hermann",
""
]
] | The connection between IIA superstring theory compactified on a circle of radius R and IIB theory compactified on a circle of radius 1/R is reexamined from the perspective of N=2, D=9 space-time supersymmetry. We argue that the consistency of IIA/B duality requires the BPS states corresponding to momentum and winding of either of the type-II superstrings to transform as inequivalent supermultiplets. We show that this is indeed the case for any finite compactification radius, thus providing a nontrivial confirmation of IIA/B duality. From the point of view of N=2, D=9 supergravity, one is naturally led to an SL(2,Z) invariant field theory that encompasses both the M-theory torus and the Kaluza-Klein states of the IIB theory. |
1403.5531 | Alexandros Kehagias | Sergio Ferrara, Alex Kehagias, Antonio Riotto | The Imaginary Starobinsky Model | 14 pages, 1 figure | null | 10.1002/prop.201400018 | CERN-PH-TH/2014-046 | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The recent detection by the BICEP2 collaboration of a high level of tensor
modes seems to exclude the Starobinsky model of inflation. In this paper we
show that this conclusion can be avoided: one can embed the Starobinsky model
in supergravity and identify the inflaton field with the imaginary (instead of
the real) part of the chiral scalaron multiplet in its formulation. Once
coupled to matter, the Starobinsky model may then become the chaotic quadratic
model with shift symmetry during inflation and is in good agreement with the
current data.
| [
{
"created": "Fri, 21 Mar 2014 18:15:04 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Mar 2014 22:20:59 GMT",
"version": "v2"
},
{
"created": "Wed, 2 Apr 2014 10:18:23 GMT",
"version": "v3"
}
] | 2015-06-19 | [
[
"Ferrara",
"Sergio",
""
],
[
"Kehagias",
"Alex",
""
],
[
"Riotto",
"Antonio",
""
]
] | The recent detection by the BICEP2 collaboration of a high level of tensor modes seems to exclude the Starobinsky model of inflation. In this paper we show that this conclusion can be avoided: one can embed the Starobinsky model in supergravity and identify the inflaton field with the imaginary (instead of the real) part of the chiral scalaron multiplet in its formulation. Once coupled to matter, the Starobinsky model may then become the chaotic quadratic model with shift symmetry during inflation and is in good agreement with the current data. |
hep-th/0602020 | Masao Ninomiya | Holger B. Nielsen and Masao Ninomiya | Law Behind Second Law of Thermodynamics --Unification with Cosmology-- | 17 pages | JHEP0603:057,2006 | 10.1088/1126-6708/2006/03/057 | YITP-05-46,OIQP-05-10 | hep-th | null | In an abstract setting of a general classical mechanical system as a model
for the universe we set up a general formalism for a law behind the second law
of thermodynamics, i.e. really for "initial conditions". We propose a
unification with the other laws by requiring similar symmetry and locality
properties.
| [
{
"created": "Thu, 2 Feb 2006 13:59:15 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Nielsen",
"Holger B.",
""
],
[
"Ninomiya",
"Masao",
""
]
] | In an abstract setting of a general classical mechanical system as a model for the universe we set up a general formalism for a law behind the second law of thermodynamics, i.e. really for "initial conditions". We propose a unification with the other laws by requiring similar symmetry and locality properties. |
hep-th/9602068 | Henrik Aratyn | H. Aratyn, E. Nissimov and S. Pacheva | Virasoro Symmetry of Constrained KP Hierarchies | LaTeX, 11 pgs | null | 10.1016/S0375-9601(97)00126-6 | INRNE-TH/96-03, UICHEP-TH/96-08 | hep-th nlin.SI solv-int | null | Additional non-isospectral symmetries are formulated for the constrained
Kadomtsev-Petviashvili (\cKP) integrable hierarchies. The problem of
compatibility of additional symmetries with the underlying constraints is
solved explicitly for the Virasoro part of the additional symmetry through
appropriate modification of the standard additional-symmetry flows for the
general (unconstrained) KP hierarchy. We also discuss the special case of \cKP
--truncated KP hierarchies, obtained as Darboux-B\"{a}cklund orbits of initial
purely differential Lax operators. The latter give rise to Toda-lattice-like
structures relevant for discrete (multi-)matrix models. Our construction
establishes the condition for commutativity of the additional-symmetry flows
with the discrete Darboux-B\"{a}cklund transformations of \cKP hierarchies
leading to a new derivation of the string-equation constraint in matrix models.
| [
{
"created": "Tue, 13 Feb 1996 04:49:12 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Aratyn",
"H.",
""
],
[
"Nissimov",
"E.",
""
],
[
"Pacheva",
"S.",
""
]
] | Additional non-isospectral symmetries are formulated for the constrained Kadomtsev-Petviashvili (\cKP) integrable hierarchies. The problem of compatibility of additional symmetries with the underlying constraints is solved explicitly for the Virasoro part of the additional symmetry through appropriate modification of the standard additional-symmetry flows for the general (unconstrained) KP hierarchy. We also discuss the special case of \cKP --truncated KP hierarchies, obtained as Darboux-B\"{a}cklund orbits of initial purely differential Lax operators. The latter give rise to Toda-lattice-like structures relevant for discrete (multi-)matrix models. Our construction establishes the condition for commutativity of the additional-symmetry flows with the discrete Darboux-B\"{a}cklund transformations of \cKP hierarchies leading to a new derivation of the string-equation constraint in matrix models. |
2402.13883 | Peter Horvathy | Peng-Ming Zhang and Peter Horvathy | Isospin precession in non-Abelian Aharonov-Bohm scattering | Dedicated to Professor Tai-Tsun Wu on his 90th Birthday. 43 pages, 6
figures | null | null | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The concept of pseudoclassical isospin is illustrated by the non-Abelian
Aharonov-Bohm effect proposed by Wu and Yang in 1975. The spatial motion is
free however the isospin precesses when the enclosed magnetic flux and the
incoming particle's isosopin are not parallel. The non-Abelian phase factor
$\mathfrak{F}$ of Wu and Yang acts on the isospin as an S-matrix. The
scattering becomes side-independent when the enclosed flux is quantized,
${\Phi}_N=N\Phi_0$ with $N$ an integer. The gauge group $SU(2)$ is an internal
symmetry and generates conserved charges only when the flux is quantized, which
then splits into two series: for $N=2k$ $SU(2)$ acts trivially but for $N=1+2k$
the implementation is twisted. The orbital and the internal angular momenta are
separately conserved. The double rotational symmetry is broken to $SO(2)\times
SO(2)$ when $N$ odd. For unquantized flux there are no internal symmetries, the
charge is not conserved and protons can be turned into neutrons.
| [
{
"created": "Wed, 21 Feb 2024 15:50:56 GMT",
"version": "v1"
}
] | 2024-02-22 | [
[
"Zhang",
"Peng-Ming",
""
],
[
"Horvathy",
"Peter",
""
]
] | The concept of pseudoclassical isospin is illustrated by the non-Abelian Aharonov-Bohm effect proposed by Wu and Yang in 1975. The spatial motion is free however the isospin precesses when the enclosed magnetic flux and the incoming particle's isosopin are not parallel. The non-Abelian phase factor $\mathfrak{F}$ of Wu and Yang acts on the isospin as an S-matrix. The scattering becomes side-independent when the enclosed flux is quantized, ${\Phi}_N=N\Phi_0$ with $N$ an integer. The gauge group $SU(2)$ is an internal symmetry and generates conserved charges only when the flux is quantized, which then splits into two series: for $N=2k$ $SU(2)$ acts trivially but for $N=1+2k$ the implementation is twisted. The orbital and the internal angular momenta are separately conserved. The double rotational symmetry is broken to $SO(2)\times SO(2)$ when $N$ odd. For unquantized flux there are no internal symmetries, the charge is not conserved and protons can be turned into neutrons. |
hep-th/0108209 | Sachiko Ogushi | Sachiko Ogushi | AdS Black Hole in R^2-Gravity | Talk given at the "Sixth Workshop on Non-Perturbative Quantum
Chromodynamics" 5 - 9 June 2001, Paris, France; 5 pages | null | 10.1142/9789812778352_0044 | null | hep-th | null | We discuss some properties of higher derivative (HD) bulk gravity without
Riemann tensor square term. Such a kind of gravity admits Schwarzschild Anti de
Sitter (SAdS) black hole as exact solution. It is shown that induced brane
geometry on such background is Friedmann-Robertson-Walker (FRW) radiation
dominated Universe. We show that HD terms contributions appear in the Hawking
temperature, entropy and Hubble parameter via the redefinition of 5-dimensional
gravitational constant and AdS scale parameter. These HD terms do not destroy
the AdS-dual description of radiation represented by strongly-coupled CFT.
So-called Cardy-Verlinde formula which expresses cosmological entropy as square
root from other parameters and entropies is also derived in R^2-gravity. This
talk is based on works with Shin'ichi Nojiri and Sergei D. Odintsov.
| [
{
"created": "Tue, 28 Aug 2001 05:08:47 GMT",
"version": "v1"
}
] | 2017-08-23 | [
[
"Ogushi",
"Sachiko",
""
]
] | We discuss some properties of higher derivative (HD) bulk gravity without Riemann tensor square term. Such a kind of gravity admits Schwarzschild Anti de Sitter (SAdS) black hole as exact solution. It is shown that induced brane geometry on such background is Friedmann-Robertson-Walker (FRW) radiation dominated Universe. We show that HD terms contributions appear in the Hawking temperature, entropy and Hubble parameter via the redefinition of 5-dimensional gravitational constant and AdS scale parameter. These HD terms do not destroy the AdS-dual description of radiation represented by strongly-coupled CFT. So-called Cardy-Verlinde formula which expresses cosmological entropy as square root from other parameters and entropies is also derived in R^2-gravity. This talk is based on works with Shin'ichi Nojiri and Sergei D. Odintsov. |
hep-th/0508009 | Gustavo Lozano | Gustavo S. Lozano, Olivier Piguet, Fidel A. Schaposnik and Lucas
Sourrouille | Nonrelativistic Supersymmetry in Noncommutative Space | 8 pages | Phys.Lett. B630 (2005) 108-114 | 10.1016/j.physletb.2005.09.083 | null | hep-th | null | We analize a model of non relativistic matter in 2+1 dimensional
noncommutative space. The matter fields interact with gauge fields whose
dynamics is dictated by a Chern Simons term. We show that it is possible to
choose the coupling constants in such a way that the model has and extended
supersyemmetry and Bogomolnyi equations can be found.
| [
{
"created": "Mon, 1 Aug 2005 12:16:08 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Lozano",
"Gustavo S.",
""
],
[
"Piguet",
"Olivier",
""
],
[
"Schaposnik",
"Fidel A.",
""
],
[
"Sourrouille",
"Lucas",
""
]
] | We analize a model of non relativistic matter in 2+1 dimensional noncommutative space. The matter fields interact with gauge fields whose dynamics is dictated by a Chern Simons term. We show that it is possible to choose the coupling constants in such a way that the model has and extended supersyemmetry and Bogomolnyi equations can be found. |
2309.16839 | Marco Schreck MS | Let\'icia Lisboa-Santos, Jo\~ao A.A.S. Reis, Marco Schreck, and Manoel
M. Ferreira | Nonminimal planar electrodynamics modified by higher-derivative terms | 32 pages, 6 figures | null | null | null | hep-th cond-mat.other | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a (2+1)-dimensional modified electrodynamics endowed with terms
that are either Lorentz-invariant or Lorentz-violating and involve an ever
increasing number of derivatives. Our construction relies on U(1) gauge
invariance and the Abelian Chern-Simons term poses the starting point. The
structure of the nonminimal Standard-Model Extension (SME) in (3+1) spacetime
dimensions serves as an inspiration for our pursuit. For elaborate studies and
applications we particularly focus on the second term of the operator series in
the general framework, which is the first contribution with additional
derivatives. The latter forms the essential ingredient for several models of
modified planar electrodynamics to be examined. The propagators of the models
constitute the foundation for us deriving the physical propagating modes as
well as for drawing conclusions on unitarity in the quantum regime. We are also
interested in identifying parameter regions of sub- and superluminal mode
propagation and determine classical solutions of the field equations for the
planar models introduced. Moreover, a duality between an extended Chern-Simons
theory and a subset of the fermion sector coefficients in the nonminimal SME is
pointed out, as well. Finally, the integer quantum Hall effect is chosen as a
testbed to demonstrate the applicability of our findings to real physical
systems. Predictions on momentum- and direction-dependent corrections of the
Hall resistivity are made at the level of effective field theory, which could
be tested in experiments. Thus, the (2+1)-dimensional models proposed are
potentially applicable to model electromagnetic phenomena in certain planar
condensed-matter systems.
| [
{
"created": "Thu, 28 Sep 2023 20:40:47 GMT",
"version": "v1"
}
] | 2023-10-02 | [
[
"Lisboa-Santos",
"Letícia",
""
],
[
"Reis",
"João A. A. S.",
""
],
[
"Schreck",
"Marco",
""
],
[
"Ferreira",
"Manoel M.",
""
]
] | We consider a (2+1)-dimensional modified electrodynamics endowed with terms that are either Lorentz-invariant or Lorentz-violating and involve an ever increasing number of derivatives. Our construction relies on U(1) gauge invariance and the Abelian Chern-Simons term poses the starting point. The structure of the nonminimal Standard-Model Extension (SME) in (3+1) spacetime dimensions serves as an inspiration for our pursuit. For elaborate studies and applications we particularly focus on the second term of the operator series in the general framework, which is the first contribution with additional derivatives. The latter forms the essential ingredient for several models of modified planar electrodynamics to be examined. The propagators of the models constitute the foundation for us deriving the physical propagating modes as well as for drawing conclusions on unitarity in the quantum regime. We are also interested in identifying parameter regions of sub- and superluminal mode propagation and determine classical solutions of the field equations for the planar models introduced. Moreover, a duality between an extended Chern-Simons theory and a subset of the fermion sector coefficients in the nonminimal SME is pointed out, as well. Finally, the integer quantum Hall effect is chosen as a testbed to demonstrate the applicability of our findings to real physical systems. Predictions on momentum- and direction-dependent corrections of the Hall resistivity are made at the level of effective field theory, which could be tested in experiments. Thus, the (2+1)-dimensional models proposed are potentially applicable to model electromagnetic phenomena in certain planar condensed-matter systems. |
hep-th/9409007 | Sergei Ketov | Sergei V. Ketov | BRST Charge for the Orthogonal Series of Bershadsky-Knizhnik
Quasi-Superconformal Algebras | 11 pages, LaTeX, Hannover preprint ITP-UH-11/94, September 1994 | null | null | null | hep-th | null | The quantum BRST charges for the Bershadsky-Knizhnik orthogonal
quasi-superconformal algebras are constructed. These two-dimensional
superalgebras have the $N$-extended non-linearly realised supersymmetry and the
$SO(N)$ internal symmetry. The BRST charge nilpotency conditions are shown to
have a unique solution at $N>2$, namely, $N=4$ and $k=-2$, where $k$ is central
extension parameter of the Ka\v{c}-Moody subalgebra. We argue about the
existence of a new string theory with the non-linearly realised $N=4$
world-sheet supersymmetry and negative `critical dimension'.
| [
{
"created": "Thu, 1 Sep 1994 19:58:05 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Ketov",
"Sergei V.",
""
]
] | The quantum BRST charges for the Bershadsky-Knizhnik orthogonal quasi-superconformal algebras are constructed. These two-dimensional superalgebras have the $N$-extended non-linearly realised supersymmetry and the $SO(N)$ internal symmetry. The BRST charge nilpotency conditions are shown to have a unique solution at $N>2$, namely, $N=4$ and $k=-2$, where $k$ is central extension parameter of the Ka\v{c}-Moody subalgebra. We argue about the existence of a new string theory with the non-linearly realised $N=4$ world-sheet supersymmetry and negative `critical dimension'. |
2001.07433 | Suvendu Giri | Souvik Banerjee, Ulf Danielsson, Suvendu Giri | Dark bubbles: decorating the wall | Published version | JHEP 2020, 85 (2020) | 10.1007/JHEP04(2020)085 | UUITP-1/20 | hep-th gr-qc hep-ph | http://creativecommons.org/licenses/by/4.0/ | Motivated by the difficulty of constructing de Sitter vacua in string theory,
a new approach was proposed in arXiv:1807.01570 and arXiv:1907.04268, where
four dimensional de Sitter space was realized as the effective cosmology, with
matter and radiation, on an expanding spherical bubble that mediates the decay
of non supersymmetric $AdS_5$ to a more stable $AdS_5$ in string theory. In
this third installment, we further expand on this scenario by considering the
backreaction of matter in the bulk and on the brane in terms of how the brane
bends. We compute the back reacted metric on the bent brane as well as in the
five dimensional bulk. To further illuminate the effect of brane-bending, we
compare our results with an explicit computation of the five dimensional
graviton propagator using a holographic prescription. Finally we comment on a
possible localization of four dimensional gravity in our model using two
colliding branes.
| [
{
"created": "Tue, 21 Jan 2020 10:32:46 GMT",
"version": "v1"
},
{
"created": "Sun, 19 Apr 2020 06:30:35 GMT",
"version": "v2"
}
] | 2020-04-21 | [
[
"Banerjee",
"Souvik",
""
],
[
"Danielsson",
"Ulf",
""
],
[
"Giri",
"Suvendu",
""
]
] | Motivated by the difficulty of constructing de Sitter vacua in string theory, a new approach was proposed in arXiv:1807.01570 and arXiv:1907.04268, where four dimensional de Sitter space was realized as the effective cosmology, with matter and radiation, on an expanding spherical bubble that mediates the decay of non supersymmetric $AdS_5$ to a more stable $AdS_5$ in string theory. In this third installment, we further expand on this scenario by considering the backreaction of matter in the bulk and on the brane in terms of how the brane bends. We compute the back reacted metric on the bent brane as well as in the five dimensional bulk. To further illuminate the effect of brane-bending, we compare our results with an explicit computation of the five dimensional graviton propagator using a holographic prescription. Finally we comment on a possible localization of four dimensional gravity in our model using two colliding branes. |
hep-th/9602117 | Ivan Kostov | I.K. Kostov | Bilinear Functional Equations in 2D Quantum Gravity | 18 pages, harvmac, no figures (Talk delivered at the Workshop on "New
Trends in Quantum Field Theory", 28 August - 1 September 1995, Razlog,
Bulgaria) | null | null | SPhT-96/011 | hep-th | null | The microscopic theories of quantum gravity related to integrable lattice
models can be constructed as special deformations of pure gravity. Each such
deformation is defined by a second order differential operator acting on the
coupling constants. As a consequence, the theories with matter fields satisfy a
set of constraints inherited from the integrable structure of pure gravity. In
particular, a set of bilinear functional equations for each theory with matter
fields follows from the Hirota equations defining the KP (KdV) structure of
pure gravity.
| [
{
"created": "Wed, 21 Feb 1996 15:31:03 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Kostov",
"I. K.",
""
]
] | The microscopic theories of quantum gravity related to integrable lattice models can be constructed as special deformations of pure gravity. Each such deformation is defined by a second order differential operator acting on the coupling constants. As a consequence, the theories with matter fields satisfy a set of constraints inherited from the integrable structure of pure gravity. In particular, a set of bilinear functional equations for each theory with matter fields follows from the Hirota equations defining the KP (KdV) structure of pure gravity. |
hep-th/0207182 | Cezary Gonera | Cezary Gonera | More about generalized maximally superintegrable systems of Winternitz
type | 8 pages | null | null | null | hep-th | null | Recently proposed procedure of constructing maximally superintegrable systems
of Winternitz type is further developed and illustrated by an example of system
admitting an explicit construction of angle variables and additional integrals
of motion. A possible application of the method to Liouville system is briefly
presented.
| [
{
"created": "Fri, 19 Jul 2002 12:34:05 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Gonera",
"Cezary",
""
]
] | Recently proposed procedure of constructing maximally superintegrable systems of Winternitz type is further developed and illustrated by an example of system admitting an explicit construction of angle variables and additional integrals of motion. A possible application of the method to Liouville system is briefly presented. |
1504.05303 | David Broadhurst | David Broadhurst | Multiple Landen values and the tribonacci numbers | 31 pages: version 2 includes a link to letter by Pierre Deligne | null | null | null | hep-th math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Multiple Landen values (MLVs) are defined as iterated integrals on the
interval $x\in[0,1]$ of the differential forms $A=d\log(x)$, $B=-d\log(1-x)$,
$F=-d\log(1-\rho^2x)$ and $G=-d\log(1-\rho x)$, where $\rho=(\sqrt{5}-1)/2$ is
the golden section. I conjecture that the dimension of the space of ${\mathbb
Z}$-linearly independent MLVs of weight $w$ is a tribonacci number $T_w$,
generated by $1/(1-x-x^2- x^3)=1+\sum_{w>0}T_w x^w$, and that a basis is
provided by all the words in the $\{A,G\}$ sub-alphabet that neither end in $A$
nor contain $A^3$. For $w<9$, I construct a much more efficient basis, for a
MLV datamine, where no prime greater than 11 occurs in the denominators of
3,357,257 coefficients of rational reduction of 49,151 MLVs. Numerical data for
40 primitives then enable fast evaluation of all of these MLVs to 20,000
digits. The datamine provides reductions of Ap\'ery-type sums
$A_w=\sum_{n>0}(-1)^{n+1}n^{-w}/{2n\choose n}$ and 6 ladder-combinations of
depth-1 polylogarithms ${\rm Li}_w(\rho^p)=\sum_{n>0}\rho^{pn}n^{-w}$ with
$p\in\{1,2,3,4,6,8,10,12,20,24\}$ and coefficients given by Landen, Coxeter and
Lewin at $w=2$. I prove that the former evaluate to MLVs and conjecture that
the latter do. Comparison is made between the properties of MLVs and multiple
polylogarithms at roots of unity, encountered in the quantum field theory of
the standard model of particle physics.
| [
{
"created": "Tue, 21 Apr 2015 04:47:34 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Apr 2015 00:08:47 GMT",
"version": "v2"
}
] | 2015-04-27 | [
[
"Broadhurst",
"David",
""
]
] | Multiple Landen values (MLVs) are defined as iterated integrals on the interval $x\in[0,1]$ of the differential forms $A=d\log(x)$, $B=-d\log(1-x)$, $F=-d\log(1-\rho^2x)$ and $G=-d\log(1-\rho x)$, where $\rho=(\sqrt{5}-1)/2$ is the golden section. I conjecture that the dimension of the space of ${\mathbb Z}$-linearly independent MLVs of weight $w$ is a tribonacci number $T_w$, generated by $1/(1-x-x^2- x^3)=1+\sum_{w>0}T_w x^w$, and that a basis is provided by all the words in the $\{A,G\}$ sub-alphabet that neither end in $A$ nor contain $A^3$. For $w<9$, I construct a much more efficient basis, for a MLV datamine, where no prime greater than 11 occurs in the denominators of 3,357,257 coefficients of rational reduction of 49,151 MLVs. Numerical data for 40 primitives then enable fast evaluation of all of these MLVs to 20,000 digits. The datamine provides reductions of Ap\'ery-type sums $A_w=\sum_{n>0}(-1)^{n+1}n^{-w}/{2n\choose n}$ and 6 ladder-combinations of depth-1 polylogarithms ${\rm Li}_w(\rho^p)=\sum_{n>0}\rho^{pn}n^{-w}$ with $p\in\{1,2,3,4,6,8,10,12,20,24\}$ and coefficients given by Landen, Coxeter and Lewin at $w=2$. I prove that the former evaluate to MLVs and conjecture that the latter do. Comparison is made between the properties of MLVs and multiple polylogarithms at roots of unity, encountered in the quantum field theory of the standard model of particle physics. |
hep-th/0410170 | Bjorn Andreas | Bjorn Andreas and Daniel Hernandez Ruiperez | U(n) Vector Bundles on Calabi-Yau Threefolds for String Theory
Compactifications | 30pp, harvmac | Adv.Theor.Math.Phys.9:253-284,2005 | null | null | hep-th math.AG | null | An explicit description of the spectral data of stable U(n) vector bundles on
elliptically fibered Calabi-Yau threefolds is given, extending previous work of
Friedman, Morgan and Witten. The characteristic classes are computed and it is
shown that part of the bundle cohomology vanishes. The stability and the
dimension of the moduli space of the U(n) bundles are discussed. As an
application, it is shown that the U(n) bundles are capable to solve the basic
topological constraints imposed by heterotic string theory. Various explicit
solutions of the Donaldson-Uhlenbeck-Yau equation are given. The heterotic
anomaly cancellation condition is analyzed; as a result an integral change in
the number of fiber wrapping five-branes is found. This gives a definite
prediction for the number of three-branes in a dual F-theory model. The
net-generation number is evaluated, showing more flexibility compared with the
SU(n) case.
| [
{
"created": "Fri, 15 Oct 2004 14:19:06 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Andreas",
"Bjorn",
""
],
[
"Ruiperez",
"Daniel Hernandez",
""
]
] | An explicit description of the spectral data of stable U(n) vector bundles on elliptically fibered Calabi-Yau threefolds is given, extending previous work of Friedman, Morgan and Witten. The characteristic classes are computed and it is shown that part of the bundle cohomology vanishes. The stability and the dimension of the moduli space of the U(n) bundles are discussed. As an application, it is shown that the U(n) bundles are capable to solve the basic topological constraints imposed by heterotic string theory. Various explicit solutions of the Donaldson-Uhlenbeck-Yau equation are given. The heterotic anomaly cancellation condition is analyzed; as a result an integral change in the number of fiber wrapping five-branes is found. This gives a definite prediction for the number of three-branes in a dual F-theory model. The net-generation number is evaluated, showing more flexibility compared with the SU(n) case. |
hep-th/0611052 | Evgeny Likhtman | E.P. Likhtman | Quantum-electrodynamic model of the finite-size electron and calculation
of the fine-structure constant | 9 pages | null | null | null | hep-th | null | We propose a model of a relativistic string formed by a scalar complex field,
acting as electromagnetic field source. An axiosymmetric solutions of the
stationary equations for the scalar and electromagnetic fields are found
numerically. The mass $m$ is calculated as a function of the charge $e$ and the
magnetic moment $\mu$ of the system. The resulting toroidal structure is
interpreted as an electron because the calculated ratio $e^3/(2mc^2\mu)$
coincides with the fine-structure constant $\alpha=e^2/(\hbar c)\approx
e^3/(2m_ec^2\mu_e)$.
| [
{
"created": "Sun, 5 Nov 2006 07:57:16 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Likhtman",
"E. P.",
""
]
] | We propose a model of a relativistic string formed by a scalar complex field, acting as electromagnetic field source. An axiosymmetric solutions of the stationary equations for the scalar and electromagnetic fields are found numerically. The mass $m$ is calculated as a function of the charge $e$ and the magnetic moment $\mu$ of the system. The resulting toroidal structure is interpreted as an electron because the calculated ratio $e^3/(2mc^2\mu)$ coincides with the fine-structure constant $\alpha=e^2/(\hbar c)\approx e^3/(2m_ec^2\mu_e)$. |
hep-th/9910234 | Alexei A. Abrikosov jr. | Alexei A. Abrikosov Jr | Instantons in curvilinear coordinates | Talk given at the QCD-99 conference, June 1999, Montpellier, France.
Primitive LaTeX, 7 pp | Nucl.Phys.Proc.Suppl. 86 (2000) 452-455 | 10.1016/S0920-5632(00)00603-4 | null | hep-th | null | The multi-instanton solutions by 'tHooft and Jackiw, Nohl & Rebbi are
generalized to curvilinear coordinates. Expressions can be notably simplified
by the appropriate gauge transformation. This generates the compensating
addition to the gauge potential of pseudoparticles. Singularities of the
compensating connection are irrelevant for physics but affect gauge dependent
quantities.
| [
{
"created": "Thu, 28 Oct 1999 16:13:50 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Abrikosov",
"Alexei A.",
"Jr"
]
] | The multi-instanton solutions by 'tHooft and Jackiw, Nohl & Rebbi are generalized to curvilinear coordinates. Expressions can be notably simplified by the appropriate gauge transformation. This generates the compensating addition to the gauge potential of pseudoparticles. Singularities of the compensating connection are irrelevant for physics but affect gauge dependent quantities. |
2303.08839 | Piotr Tourkine | Piotr Tourkine, Alexander Zhiboedov | Scattering amplitudes from dispersive iterations of unitarity | 114 pages, 66 figures | null | null | CERN-TH-2023-025 | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | We present and numerically implement a computational method to construct
relativistic scattering amplitudes that obey analyticity, crossing, elastic and
inelastic unitarity in three and four spacetime dimensions. The algorithm is
based on the Mandelstam representation of the amplitude and iterations of
unitarity. The input for the iterative procedure is given by the multi-particle
double spectral density, the S-wave inelasticity, and the value of the
amplitude at the crossing-symmetric point. The output, obtained at the fixed
point of the iteration of unitarity, is a nonperturbative scattering amplitude.
The amplitudes we obtain exhibit interesting features, such as non-zero
particle production, intricate high-energy and near the two-particle threshold
behavior. Scattering amplitudes obtained by initializing the iteration process
with zero (or small) multi-particle input end up close to saturating the
S-matrix bounds derived by other methods. There is a version of the iterative
algorithm that is directly related to Feynman diagrams: it effectively re-sums
infinitely many two-particle reducible planar Feynman graphs in the $\phi^4$
theory, which remarkably produces a unitary nonperturbative scattering
amplitude function. Finally, we discuss how the algorithm can be further
refined by including multi-particle unitarity.
| [
{
"created": "Wed, 15 Mar 2023 18:00:02 GMT",
"version": "v1"
}
] | 2023-03-17 | [
[
"Tourkine",
"Piotr",
""
],
[
"Zhiboedov",
"Alexander",
""
]
] | We present and numerically implement a computational method to construct relativistic scattering amplitudes that obey analyticity, crossing, elastic and inelastic unitarity in three and four spacetime dimensions. The algorithm is based on the Mandelstam representation of the amplitude and iterations of unitarity. The input for the iterative procedure is given by the multi-particle double spectral density, the S-wave inelasticity, and the value of the amplitude at the crossing-symmetric point. The output, obtained at the fixed point of the iteration of unitarity, is a nonperturbative scattering amplitude. The amplitudes we obtain exhibit interesting features, such as non-zero particle production, intricate high-energy and near the two-particle threshold behavior. Scattering amplitudes obtained by initializing the iteration process with zero (or small) multi-particle input end up close to saturating the S-matrix bounds derived by other methods. There is a version of the iterative algorithm that is directly related to Feynman diagrams: it effectively re-sums infinitely many two-particle reducible planar Feynman graphs in the $\phi^4$ theory, which remarkably produces a unitary nonperturbative scattering amplitude function. Finally, we discuss how the algorithm can be further refined by including multi-particle unitarity. |
hep-th/0211179 | Lukasz Bratek | Lukasz Bratek | Structure of solutions of the Skyrme model on three-sphere. Numerical
results | 20 pages, 13 figures in, with email | Nonlinearity 16:1539,2003 | 10.1088/0951-7715/16/4/320 | null | hep-th cond-mat.other math-ph math.MP | null | The hedgehog Skyrme model on three-sphere admits very rich spectrum of
solitonic solutions which can be encompassed by a strikingly simple scheme. The
main result of this paper is the statement of the tripartite structure of
solutions of the model and the discovery in what configurations these solutions
appear. The model contains features of more complicated models in General
Relativity and as such can give insight into them.
| [
{
"created": "Tue, 19 Nov 2002 17:51:56 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Nov 2002 11:29:31 GMT",
"version": "v2"
}
] | 2011-07-19 | [
[
"Bratek",
"Lukasz",
""
]
] | The hedgehog Skyrme model on three-sphere admits very rich spectrum of solitonic solutions which can be encompassed by a strikingly simple scheme. The main result of this paper is the statement of the tripartite structure of solutions of the model and the discovery in what configurations these solutions appear. The model contains features of more complicated models in General Relativity and as such can give insight into them. |
2007.09992 | Sergio Cecotti | Sergio Cecotti | Moduli spaces of Calabi-Yau $d$-folds as gravitational-chiral instantons | 18 pages; more details on the geometry and finite action | null | 10.1007/JHEP12(2020)008 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Motivated by the swampland program, we show that the Weil-Petersson geometry
of the moduli space of a Calabi-Yau manifold of complex dimension $d\leq4$ is a
gravitational instanton (i.e. a finite-action solution of the Euclidean
equations of motion of gravity with matter). More precisely, the moduli
geometry of Calabi-Yau $d$-folds ($d\leq4$) describes instantons of (E)AdS
Einstein gravity coupled to a standard chiral model.
From the point of view of the low-energy physics of string/M-theory
compactified on the Calabi-Yau $X$, the various fields propagating on its
moduli space are the couplings appearing in the effective Lagrangian
$\mathscr{L}_\text{eff}$.
| [
{
"created": "Mon, 20 Jul 2020 10:34:09 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Sep 2020 08:27:26 GMT",
"version": "v2"
},
{
"created": "Mon, 21 Sep 2020 09:32:51 GMT",
"version": "v3"
}
] | 2020-12-30 | [
[
"Cecotti",
"Sergio",
""
]
] | Motivated by the swampland program, we show that the Weil-Petersson geometry of the moduli space of a Calabi-Yau manifold of complex dimension $d\leq4$ is a gravitational instanton (i.e. a finite-action solution of the Euclidean equations of motion of gravity with matter). More precisely, the moduli geometry of Calabi-Yau $d$-folds ($d\leq4$) describes instantons of (E)AdS Einstein gravity coupled to a standard chiral model. From the point of view of the low-energy physics of string/M-theory compactified on the Calabi-Yau $X$, the various fields propagating on its moduli space are the couplings appearing in the effective Lagrangian $\mathscr{L}_\text{eff}$. |
1808.07715 | Adi Armoni | Adi Armoni, Vasilis Niarchos | QCD3 with Two-Index Quarks, Mirror Symmetry and Fivebrane anti-BIons
near Orientifolds | 23 pages, 5 eps figures | Phys. Rev. D 98, 114009 (2018) | 10.1103/PhysRevD.98.114009 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a non-supersymmetric Hanany-Witten type IIB brane configuration
that realises a three dimensional USp(2N) gauge theory with quarks in the
two-index antisymmetric representation and SO(4) flavour symmetry. Using type
IIB S-duality we find the mirror dual, an SO(2N-1) field theory with scalars in
the antisymmetric representation. Analysing the magnetic dual we study the
vacuum structure of the USp(2N) model and propose that the SO(4) global
symmetry is unbroken. In order to support our proposal we present an SO(4)
symmetric BIon configuration that describes anti-D3 branes polarising into
fivebranes in the S-dual Hanany-Witten setup. We also comment on dynamical
flavour symmetry breaking in other QCD3 theories with quarks in two-index
representations.
| [
{
"created": "Thu, 23 Aug 2018 12:35:25 GMT",
"version": "v1"
}
] | 2018-12-19 | [
[
"Armoni",
"Adi",
""
],
[
"Niarchos",
"Vasilis",
""
]
] | We consider a non-supersymmetric Hanany-Witten type IIB brane configuration that realises a three dimensional USp(2N) gauge theory with quarks in the two-index antisymmetric representation and SO(4) flavour symmetry. Using type IIB S-duality we find the mirror dual, an SO(2N-1) field theory with scalars in the antisymmetric representation. Analysing the magnetic dual we study the vacuum structure of the USp(2N) model and propose that the SO(4) global symmetry is unbroken. In order to support our proposal we present an SO(4) symmetric BIon configuration that describes anti-D3 branes polarising into fivebranes in the S-dual Hanany-Witten setup. We also comment on dynamical flavour symmetry breaking in other QCD3 theories with quarks in two-index representations. |
2107.01612 | Nikodem Poplawski | Michael Del Grosso and Nikodem Pop{\l}awski | Torsional Regularization of Self-Energy and Bare Mass of Electron | 7 pages | null | null | null | hep-th gr-qc quant-ph | http://creativecommons.org/licenses/by/4.0/ | In the presence of spacetime torsion, the momentum components do not commute;
therefore, in quantum field theory, summation over the momentum eigenvalues
will replace integration over the momentum. In the Einstein--Cartan theory of
gravity, in which torsion is coupled to spin, the separation between the
eigenvalues increases with the magnitude of the momentum. Consequently, this
replacement regularizes divergent integrals in Feynman diagrams with loops by
turning them into convergent sums. In this article, we apply torsional
regularization to the self-energy of a charged lepton in quantum
electrodynamics. We show that this procedure eliminates the ultraviolet
divergence. We also show that torsion gives a photon a small nonzero mass,
which regularizes the infrared divergence. In the end, we calculate the finite
bare masses of the electron, muon, and tau lepton: $0.4329\,\mbox{MeV}$,
$90.95\,\mbox{MeV}$, and $1543\,\mbox{MeV}$, respectively. These values
constitute about $85\%$ of the observed, re-normalized masses.
| [
{
"created": "Sun, 4 Jul 2021 12:52:39 GMT",
"version": "v1"
}
] | 2024-05-31 | [
[
"Del Grosso",
"Michael",
""
],
[
"Popławski",
"Nikodem",
""
]
] | In the presence of spacetime torsion, the momentum components do not commute; therefore, in quantum field theory, summation over the momentum eigenvalues will replace integration over the momentum. In the Einstein--Cartan theory of gravity, in which torsion is coupled to spin, the separation between the eigenvalues increases with the magnitude of the momentum. Consequently, this replacement regularizes divergent integrals in Feynman diagrams with loops by turning them into convergent sums. In this article, we apply torsional regularization to the self-energy of a charged lepton in quantum electrodynamics. We show that this procedure eliminates the ultraviolet divergence. We also show that torsion gives a photon a small nonzero mass, which regularizes the infrared divergence. In the end, we calculate the finite bare masses of the electron, muon, and tau lepton: $0.4329\,\mbox{MeV}$, $90.95\,\mbox{MeV}$, and $1543\,\mbox{MeV}$, respectively. These values constitute about $85\%$ of the observed, re-normalized masses. |
1401.7618 | S. Zacar\'ias | S. Zacar\'ias | Semiclassical strings and Non-Abelian T-duality | 18 pages. arXiv admin note: text overlap with arXiv:1305.7229 by
other authors | null | 10.1016/j.physletb.2014.08.016 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study semiclassical strings in the Klebanov-Witten and in the Non-abelian
T-dual Klebanov-Witten backgrounds. We show that both backgrounds share a
subsector of equivalent states up to conditions on the T-dual coordinates which
also impose a breaking of the R-symmetry by a discrete group. We also analyze
string configurations where the strings are stretched along the T-dual
coordinates. This semiclassical analysis predicts the existence of chiral
primary operators for the dual (strongly coupled) superconformal field theory
whose anomalous dimension depends on the T-dual coordinates. We briefly discuss
the Penrose limit of the dualised background.
| [
{
"created": "Wed, 29 Jan 2014 18:40:07 GMT",
"version": "v1"
}
] | 2015-06-18 | [
[
"Zacarías",
"S.",
""
]
] | We study semiclassical strings in the Klebanov-Witten and in the Non-abelian T-dual Klebanov-Witten backgrounds. We show that both backgrounds share a subsector of equivalent states up to conditions on the T-dual coordinates which also impose a breaking of the R-symmetry by a discrete group. We also analyze string configurations where the strings are stretched along the T-dual coordinates. This semiclassical analysis predicts the existence of chiral primary operators for the dual (strongly coupled) superconformal field theory whose anomalous dimension depends on the T-dual coordinates. We briefly discuss the Penrose limit of the dualised background. |
1307.2454 | Massimo Giovannini | Massimo Giovannini | Anomalous Magnetohydrodynamics | 25 pages, no figures | Phys. Rev. D 88, 063536 (2013) | 10.1103/PhysRevD.88.063536 | CERN-PH-TH/2013-152 | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Anomalous symmetries induce currents which can be parallel rather than
orthogonal to the hypermagnetic field. Building on the analogy with charged
liquids at high magnetic Reynolds numbers, the persistence of anomalous
currents is scrutinized for parametrically large conductivities when the plasma
approximation is accurate. Different examples in globally neutral systems
suggest that the magnetic configurations minimizing the energy density with the
constraint that the helicity be conserved coincide, in the perfectly conducting
limit, with the ones obtainable in ideal magnetohydrodynamics where the
anomalous currents are neglected. It is argued that this is the rationale for
the ability of extending to anomalous magnetohydrodynamics the hydromagnetic
solutions characterized by finite gyrotropy. The generally covariant aspects of
the problem are addressed with particular attention to conformally flat
geometries which are potentially relevant for the description of the
electroweak plasma prior to the phase transition.
| [
{
"created": "Tue, 9 Jul 2013 13:44:53 GMT",
"version": "v1"
}
] | 2013-10-09 | [
[
"Giovannini",
"Massimo",
""
]
] | Anomalous symmetries induce currents which can be parallel rather than orthogonal to the hypermagnetic field. Building on the analogy with charged liquids at high magnetic Reynolds numbers, the persistence of anomalous currents is scrutinized for parametrically large conductivities when the plasma approximation is accurate. Different examples in globally neutral systems suggest that the magnetic configurations minimizing the energy density with the constraint that the helicity be conserved coincide, in the perfectly conducting limit, with the ones obtainable in ideal magnetohydrodynamics where the anomalous currents are neglected. It is argued that this is the rationale for the ability of extending to anomalous magnetohydrodynamics the hydromagnetic solutions characterized by finite gyrotropy. The generally covariant aspects of the problem are addressed with particular attention to conformally flat geometries which are potentially relevant for the description of the electroweak plasma prior to the phase transition. |
1102.1729 | Sungjay Lee | Sungjay Lee and Piljin Yi | Framed BPS States, Moduli Dynamics, and Wall-Crossing | 46 pages | JHEP 1104:098,2011 | 10.1007/JHEP04(2011)098 | null | hep-th | http://creativecommons.org/licenses/publicdomain/ | We formulate supersymmetric low energy dynamics for BPS dyons in
strongly-coupled N=2 Seiberg-Witten theories, and derive wall-crossing formulae
thereof. For BPS states made up of a heavy core state and n probe (halo) dyons
around it, we derive a reliable supersymmetric moduli dynamics with 3n bosonic
coordinates and 4n fermionic superpartners. Attractive interactions are
captured via a set of supersymmetric potential terms, whose detail depends only
on the charges and the special Kaehler data of the underlying N=2 theories. The
small parameters that control the approximation are not electric couplings but
the mass ratio between the core and the probe, as well as the distance to the
marginal stability wall where the central charges of the probe and of the core
align. Quantizing the dynamics, we construct BPS bound states and derive the
primitive and the semi-primitive wall-crossing formulae from the first
principle. We speculate on applications to line operators and Darboux
coordinates, and also about extension to supergravity setting.
| [
{
"created": "Tue, 8 Feb 2011 21:04:54 GMT",
"version": "v1"
}
] | 2011-04-28 | [
[
"Lee",
"Sungjay",
""
],
[
"Yi",
"Piljin",
""
]
] | We formulate supersymmetric low energy dynamics for BPS dyons in strongly-coupled N=2 Seiberg-Witten theories, and derive wall-crossing formulae thereof. For BPS states made up of a heavy core state and n probe (halo) dyons around it, we derive a reliable supersymmetric moduli dynamics with 3n bosonic coordinates and 4n fermionic superpartners. Attractive interactions are captured via a set of supersymmetric potential terms, whose detail depends only on the charges and the special Kaehler data of the underlying N=2 theories. The small parameters that control the approximation are not electric couplings but the mass ratio between the core and the probe, as well as the distance to the marginal stability wall where the central charges of the probe and of the core align. Quantizing the dynamics, we construct BPS bound states and derive the primitive and the semi-primitive wall-crossing formulae from the first principle. We speculate on applications to line operators and Darboux coordinates, and also about extension to supergravity setting. |
hep-th/0512154 | Wen-Li Yang | Wen-Li Yang and Yao-Zhong Zhang | $T$-$Q$ relation and exact solution for the XYZ chain with general
nondiagonal boundary terms | Revtex4, 4 pages; V2, Latex file, 22 pages, the title is changed and
new version contains the detailed derivations; V3, minor typos corrected,
this version appears in Nucl. Phys. B | Nucl.Phys. B744 (2006) 312-329 | 10.1016/j.nuclphysb.2006.03.025 | null | hep-th | null | We propose that the Baxter's $Q$-operator for the XYZ quantum spin chain with
open boundary conditions is given by the $j\to \infty$ limit of the
corresponding transfer matrix with spin-$j$ (i.e., $(2j+1)$-dimensional)
auxiliary space. The associated $T$-$Q$ relation is derived from the fusion
hierarchy of the model. We use this relation to determine the Bethe Ansatz
solution of the eigenvalues of the fundamental transfer matrix. This solution
yields the complete spectrum of the Hamiltonian.
| [
{
"created": "Wed, 14 Dec 2005 04:18:50 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Feb 2006 04:23:45 GMT",
"version": "v2"
},
{
"created": "Thu, 11 May 2006 05:19:21 GMT",
"version": "v3"
}
] | 2010-04-05 | [
[
"Yang",
"Wen-Li",
""
],
[
"Zhang",
"Yao-Zhong",
""
]
] | We propose that the Baxter's $Q$-operator for the XYZ quantum spin chain with open boundary conditions is given by the $j\to \infty$ limit of the corresponding transfer matrix with spin-$j$ (i.e., $(2j+1)$-dimensional) auxiliary space. The associated $T$-$Q$ relation is derived from the fusion hierarchy of the model. We use this relation to determine the Bethe Ansatz solution of the eigenvalues of the fundamental transfer matrix. This solution yields the complete spectrum of the Hamiltonian. |
hep-th/0208105 | Lubna Rana | S. James Gates, Jr. and Lubna Rana | Minimal Superspace Vector Fields for 5D Minimal Supersymmetry | 10 pages | Russ.Phys.J. 45 (2002) 682-689; Izv.Vuz.Fiz. 2002N7 (2002) 35-41 | null | UMDEPP 02-56, Calt-68-2389 | hep-th | null | We investigate a minimal superspace description for 5D superconformal Killing
vectors. The vielbein appropriate for AdS symmetry is discussed within the
confines of this minimal supergeometry.
| [
{
"created": "Wed, 14 Aug 2002 20:11:13 GMT",
"version": "v1"
}
] | 2012-08-27 | [
[
"Gates,",
"S. James",
"Jr."
],
[
"Rana",
"Lubna",
""
]
] | We investigate a minimal superspace description for 5D superconformal Killing vectors. The vielbein appropriate for AdS symmetry is discussed within the confines of this minimal supergeometry. |
hep-th/0404239 | Nadav Drukker | Nadav Drukker | Supertube domain-walls and elimination of closed time-like curves in
string theory | 22 pages, JHEP3 class. V2: Some corrections and clariffications,
references added. V3: more corrections to formulas, results unchanged. V4:
minor typos, as published in PRD | Phys.Rev. D70 (2004) 084031 | 10.1103/PhysRevD.70.084031 | null | hep-th | null | We show that some novel physics of supertubes removes closed time-like curves
from many supersymmetric spaces which naively suffer from this problem. The
main claim is that supertubes naturally form domain-walls, so while analytical
continuation of the metric would lead to closed time-like curves, across the
domain-wall the metric is non-differentiable, and the closed time-like curves
are eliminated. In the examples we study the metric inside the domain-wall is
always of the G\"odel type, while outside the shell it looks like a localized
rotating object, often a rotating black hole. Thus this mechanism prevents the
appearance of closed time-like curves behind the horizons of certain rotating
black holes.
| [
{
"created": "Thu, 29 Apr 2004 11:13:40 GMT",
"version": "v1"
},
{
"created": "Wed, 5 May 2004 15:04:27 GMT",
"version": "v2"
},
{
"created": "Mon, 31 May 2004 20:21:29 GMT",
"version": "v3"
},
{
"created": "Sat, 20 Nov 2004 12:11:28 GMT",
"version": "v4"
}
] | 2009-11-10 | [
[
"Drukker",
"Nadav",
""
]
] | We show that some novel physics of supertubes removes closed time-like curves from many supersymmetric spaces which naively suffer from this problem. The main claim is that supertubes naturally form domain-walls, so while analytical continuation of the metric would lead to closed time-like curves, across the domain-wall the metric is non-differentiable, and the closed time-like curves are eliminated. In the examples we study the metric inside the domain-wall is always of the G\"odel type, while outside the shell it looks like a localized rotating object, often a rotating black hole. Thus this mechanism prevents the appearance of closed time-like curves behind the horizons of certain rotating black holes. |
hep-th/0001089 | Sheikh-Jabbari Mohammad | M.M. Sheikh-Jabbari | Noncommutative Super Yang-Mills Theories with 8 Supercharges and Brane
Configurations | 14 pages, no figures, v2: typos corrected | Nucl.Phys.B587:195-206,2000 | 10.1016/S0550-3213(00)00467-3 | IC/2000/03 | hep-th | null | In this paper we consider D=4 NCSYM theories with 8 supercharges. We study
these theories through a proper type IIA (and M-theory) brane configuration. We
find the one loop beta function of these theories and show that there is an
elliptic curve describing the moduli space of the theory, which is in principle
the same as the curve for the commutative counter-part of our theory. We study
some other details of the dynamics by means of this brane configuration.
| [
{
"created": "Sat, 15 Jan 2000 09:29:17 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Feb 2000 14:43:11 GMT",
"version": "v2"
}
] | 2009-10-07 | [
[
"Sheikh-Jabbari",
"M. M.",
""
]
] | In this paper we consider D=4 NCSYM theories with 8 supercharges. We study these theories through a proper type IIA (and M-theory) brane configuration. We find the one loop beta function of these theories and show that there is an elliptic curve describing the moduli space of the theory, which is in principle the same as the curve for the commutative counter-part of our theory. We study some other details of the dynamics by means of this brane configuration. |
1501.03159 | Kurt Hinterbichler | James Bonifacio, Pedro G. Ferreira, Kurt Hinterbichler | TDiff and Weyl Invariant Massive Spin-2: Linear Theory | 37 pages, 2 figures. v3 some statements on equivalence corrected | Phys. Rev. D 91, 125008 (2015) | 10.1103/PhysRevD.91.125008 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use Kaluza-Klein reduction to construct flat-space massive spin-2
Lagrangians based on a kinetic term that has local Weyl and
transverse-diffeomorphism gauge symmetries in the massless limit. This yields
Lagrangians describing a free massive spin 2 which differ from the usual
Fierz-Pauli theory, but are physically equivalent to it. These Lagrangians
require the use of auxiliary fields, which appear naturally from the
higher-dimensional construction. We discuss how these Lagrangians are related
to each other and to the Fierz-Pauli theory through St\"uckelberg
transformations, gauge fixings, and field replacements, and we use this to
generalize the construction to spin-2 fields on Einstein manifolds.
| [
{
"created": "Tue, 13 Jan 2015 21:00:12 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Jun 2015 18:31:36 GMT",
"version": "v2"
},
{
"created": "Fri, 22 Sep 2017 17:52:27 GMT",
"version": "v3"
}
] | 2017-09-25 | [
[
"Bonifacio",
"James",
""
],
[
"Ferreira",
"Pedro G.",
""
],
[
"Hinterbichler",
"Kurt",
""
]
] | We use Kaluza-Klein reduction to construct flat-space massive spin-2 Lagrangians based on a kinetic term that has local Weyl and transverse-diffeomorphism gauge symmetries in the massless limit. This yields Lagrangians describing a free massive spin 2 which differ from the usual Fierz-Pauli theory, but are physically equivalent to it. These Lagrangians require the use of auxiliary fields, which appear naturally from the higher-dimensional construction. We discuss how these Lagrangians are related to each other and to the Fierz-Pauli theory through St\"uckelberg transformations, gauge fixings, and field replacements, and we use this to generalize the construction to spin-2 fields on Einstein manifolds. |
1611.07030 | Marcus Sperling | Amihay Hanany, Marcus Sperling | Algebraic properties of the monopole formula | v2: 37 pages, 7 figures, 6 tables; matches JHEP version | null | 10.1007/JHEP02(2017)023 | Imperial/TP/16/AH/06; UWTHPH-2016-23 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The monopole formula provides the Hilbert series of the Coulomb branch for a
3-dimensional N=4 gauge theory. Employing the concept of a fan defined by the
matter content, and summing over the corresponding collection of monoids,
allows the following: firstly, we provide explicit expressions for the Hilbert
series for any gauge group. Secondly, we prove that the order of the pole at
t=1 and t=infinity equals the complex or quaternionic dimension of the moduli
space, respectively. Thirdly, we determine all bare and dressed BPS monopole
operators that are sufficient to generate the entire chiral ring. As an
application, we demonstrate the implementation of our approach to computer
algebra programs and the applicability to higher rank gauge theories.
| [
{
"created": "Mon, 21 Nov 2016 21:00:02 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Feb 2017 10:51:33 GMT",
"version": "v2"
}
] | 2017-03-08 | [
[
"Hanany",
"Amihay",
""
],
[
"Sperling",
"Marcus",
""
]
] | The monopole formula provides the Hilbert series of the Coulomb branch for a 3-dimensional N=4 gauge theory. Employing the concept of a fan defined by the matter content, and summing over the corresponding collection of monoids, allows the following: firstly, we provide explicit expressions for the Hilbert series for any gauge group. Secondly, we prove that the order of the pole at t=1 and t=infinity equals the complex or quaternionic dimension of the moduli space, respectively. Thirdly, we determine all bare and dressed BPS monopole operators that are sufficient to generate the entire chiral ring. As an application, we demonstrate the implementation of our approach to computer algebra programs and the applicability to higher rank gauge theories. |
hep-th/9601174 | Nenad Manojlovic | M. Blagojevic, M. Vasilic and T. Vukasinac | Asymptotic symmetry and conservation laws in 2d Poincar\'e gauge theory
of gravity | 22 pages, Plain Tex | Class.Quant.Grav. 13 (1996) 3003-3020 | 10.1088/0264-9381/13/11/016 | null | hep-th | null | The structure of the asymptotic symmetry in the Poincar\'e gauge theory of
gravity in 2d is clarified by using the Hamiltonian formalism. The improved
form of the generator of the asymptotic symmetry is found for very general
asymptotic behaviour of phase space variables, and the related conserved
quantities are explicitly constructed.
| [
{
"created": "Wed, 31 Jan 1996 20:55:14 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Blagojevic",
"M.",
""
],
[
"Vasilic",
"M.",
""
],
[
"Vukasinac",
"T.",
""
]
] | The structure of the asymptotic symmetry in the Poincar\'e gauge theory of gravity in 2d is clarified by using the Hamiltonian formalism. The improved form of the generator of the asymptotic symmetry is found for very general asymptotic behaviour of phase space variables, and the related conserved quantities are explicitly constructed. |
hep-th/0009146 | Jacob Sonnenschein | J.Sonnenschein (TAU) | Stringy Confining Wilson Loops | Contribution to the Proceedings of the TMR Conference
"Non-Perturbative Quantum Effects 2000," Paris, September 2000. 9 pages, JHEP
Style | null | null | null | hep-th | null | The extraction of Wilson loops of confining gauge systems from their SUGRA
(string) duals is reviewed. I start with describing the basic classical setup.
A theorem that determines the classical values of the loops associated with a
generalized background is derived. In particular sufficient conditions for
confining behavior are stated . I then introduce quadratic quantum fluctuations
around the classical configurations. I discuss in details the following models
of confining behavior: (i) Strings in flat space-time, (ii) $AdS_5$ black hole
and its correspondence with pure YM theory in three dimensions. In particular
an attractive Luscher term is shown to be the outcome of the quantum
fluctuations. (iii) Type 0 string model (iv) The Polchinski Strassler $N=1*$
model. In the latter case we show that SUGRA alone is not enough to get the
correct nature of the loops, and only by incorporating the worldvolume
phenomena of the five branes a coherent qualitative picture can be derived.
| [
{
"created": "Tue, 19 Sep 2000 13:44:50 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Sonnenschein",
"J.",
"",
"TAU"
]
] | The extraction of Wilson loops of confining gauge systems from their SUGRA (string) duals is reviewed. I start with describing the basic classical setup. A theorem that determines the classical values of the loops associated with a generalized background is derived. In particular sufficient conditions for confining behavior are stated . I then introduce quadratic quantum fluctuations around the classical configurations. I discuss in details the following models of confining behavior: (i) Strings in flat space-time, (ii) $AdS_5$ black hole and its correspondence with pure YM theory in three dimensions. In particular an attractive Luscher term is shown to be the outcome of the quantum fluctuations. (iii) Type 0 string model (iv) The Polchinski Strassler $N=1*$ model. In the latter case we show that SUGRA alone is not enough to get the correct nature of the loops, and only by incorporating the worldvolume phenomena of the five branes a coherent qualitative picture can be derived. |
hep-th/9510219 | Pavel Saponov | V.E. Rochev and P.A. Saponov | Singular Perturbations in Quantum Field Theory | Talk given at XVIII International Workshop on HEP and QFT in
Protvino, June 26 - 30 1995 and at X International Workshop on HEP and QFT in
Zvenigorod, September 20 - 26 1995. LaTex, 7 pages | null | null | null | hep-th | null | In this talk we discuss a new approximation scheme for non-perturbative
calculations in a quantum field theory which is based on the fact that the
Schwinger equation of a quantum field model belongs to the class of singularly
perturbed equations. The self-interacting scalar field and the Gross-Neveu
model are taken as the examples and some non-perturbative solutions of an
equation for the propagator are found for these models. The application to QCD
is also discussed.
| [
{
"created": "Mon, 30 Oct 1995 16:47:08 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Rochev",
"V. E.",
""
],
[
"Saponov",
"P. A.",
""
]
] | In this talk we discuss a new approximation scheme for non-perturbative calculations in a quantum field theory which is based on the fact that the Schwinger equation of a quantum field model belongs to the class of singularly perturbed equations. The self-interacting scalar field and the Gross-Neveu model are taken as the examples and some non-perturbative solutions of an equation for the propagator are found for these models. The application to QCD is also discussed. |
1109.5885 | Li Li | Rong-Gen Cai, Li Li, Hai-Qing Zhang and Yun-Long Zhang | Magnetic Field Effect on the Phase Transition in AdS Soliton Spacetime | 15 pages, 3 figures, 2 tables. contents improved and references added | Phys.Rev.D84 (2011) 126008 | 10.1103/PhysRevD.84.126008 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the scalar perturbations in an AdS soliton background coupled
to a Maxwell field via marginally stable modes. In the probe limit, we study
the magnetic field effect on the holographic insulator/superconductor phase
transition numerically and analytically. The condensate will be localized in a
finite circular region for any finite constant magnetic field. Near the
critical point, we find that there exists a simple relation among the critical
chemical potential, magnetic field, the charge and mass of the scalar field.
This relation indicates that the presence of the magnetic field causes the
phase transition hard.
| [
{
"created": "Tue, 27 Sep 2011 13:33:06 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Sep 2011 13:35:29 GMT",
"version": "v2"
},
{
"created": "Sun, 1 Jan 2012 08:39:48 GMT",
"version": "v3"
}
] | 2015-03-19 | [
[
"Cai",
"Rong-Gen",
""
],
[
"Li",
"Li",
""
],
[
"Zhang",
"Hai-Qing",
""
],
[
"Zhang",
"Yun-Long",
""
]
] | We investigate the scalar perturbations in an AdS soliton background coupled to a Maxwell field via marginally stable modes. In the probe limit, we study the magnetic field effect on the holographic insulator/superconductor phase transition numerically and analytically. The condensate will be localized in a finite circular region for any finite constant magnetic field. Near the critical point, we find that there exists a simple relation among the critical chemical potential, magnetic field, the charge and mass of the scalar field. This relation indicates that the presence of the magnetic field causes the phase transition hard. |
hep-th/9309157 | Ulf Danielsson | Ulf H. Danielsson | The Deformed Matrix Model at Finite Radius and a New Duality Symmetry | 11 pages, CERN-TH.7021/93 | Phys.Lett. B325 (1994) 33-38 | 10.1016/0370-2693(94)90067-1 | null | hep-th | null | The $1/x^{2}$ deformed $c=1$ matrix model is studied at finite radius and
non-zero cosmological constant. Calculational techniques are presented and
illustrated in some examples. Furthermore, a new kind of $R \rightarrow 1/R$
duality is discovered which mixes different genus.
| [
{
"created": "Thu, 30 Sep 1993 07:42:45 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Danielsson",
"Ulf H.",
""
]
] | The $1/x^{2}$ deformed $c=1$ matrix model is studied at finite radius and non-zero cosmological constant. Calculational techniques are presented and illustrated in some examples. Furthermore, a new kind of $R \rightarrow 1/R$ duality is discovered which mixes different genus. |
2402.07623 | Atsuhisa Ota | Atsuhisa Ota | Fluctuation-dissipation relation in cosmic microwave background | 33 pages | null | null | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the fluctuation-dissipation relation for sound waves in the cosmic
microwave background (CMB), employing effective field theory (EFT) for
fluctuating hydrodynamics. Treating sound waves as the linear response to
thermal radiation, we establish the fluctuation-dissipation relation within a
cosmological framework. While dissipation is elucidated in established linear
cosmological perturbation theory, the standard Boltzmann theory overlooks the
associated noise, possibly contributing to inconsistencies in Lambda Cold Dark
Matter ($\Lambda$CDM) cosmology. This paper employs EFT for fluctuating
hydrodynamics in cosmological perturbation theory, deriving sound wave noise.
Notably, the long-time limit of the noise spectrum is independent of viscosity
details, resembling a Brownian motion bounded in a harmonic potential. The net
energy transfer between the sound wave system and the radiation environment
reaches a balance within Hubble time, suggesting the thermal equilibrium of the
sound waves themselves. The induced density power spectrum is characterized as
white noise dependent on the inverse of the entropy density, which is
negligibly small on the CMB scale. The energy density of the entire sound wave
system scales as $a^{-4}$, akin to radiation. While the numerical factor is not
determined in the present calculation, the back reaction of the sound wave
system to the background radiation may not be negligible, serving as a
potential source for various fitting issues in $\Lambda$CDM cosmology.
| [
{
"created": "Mon, 12 Feb 2024 12:59:40 GMT",
"version": "v1"
}
] | 2024-02-13 | [
[
"Ota",
"Atsuhisa",
""
]
] | We study the fluctuation-dissipation relation for sound waves in the cosmic microwave background (CMB), employing effective field theory (EFT) for fluctuating hydrodynamics. Treating sound waves as the linear response to thermal radiation, we establish the fluctuation-dissipation relation within a cosmological framework. While dissipation is elucidated in established linear cosmological perturbation theory, the standard Boltzmann theory overlooks the associated noise, possibly contributing to inconsistencies in Lambda Cold Dark Matter ($\Lambda$CDM) cosmology. This paper employs EFT for fluctuating hydrodynamics in cosmological perturbation theory, deriving sound wave noise. Notably, the long-time limit of the noise spectrum is independent of viscosity details, resembling a Brownian motion bounded in a harmonic potential. The net energy transfer between the sound wave system and the radiation environment reaches a balance within Hubble time, suggesting the thermal equilibrium of the sound waves themselves. The induced density power spectrum is characterized as white noise dependent on the inverse of the entropy density, which is negligibly small on the CMB scale. The energy density of the entire sound wave system scales as $a^{-4}$, akin to radiation. While the numerical factor is not determined in the present calculation, the back reaction of the sound wave system to the background radiation may not be negligible, serving as a potential source for various fitting issues in $\Lambda$CDM cosmology. |
1104.2609 | Fernando Marchesano | Luis Aparicio, Anamaria Font, Luis E. Ibanez and Fernando Marchesano | Flux and Instanton Effects in Local F-theory Models and Hierarchical
Fermion Masses | 84 pages, 1 figure. v2: minor corrections and references added | JHEP 1108:152,2011 | 10.1007/JHEP08(2011)152 | IFT-UAM/CSIC-11-20 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the deformation induced by fluxes and instanton effects on Yukawa
couplings involving 7-brane intersections in local F-theory constructions. In
the absence of non-perturbative effects, holomorphic Yukawa couplings do not
depend on open string fluxes. On the other hand instanton effects (or gaugino
condensation on distant 7-branes) do induce corrections to the Yukawas. The
leading order effect may also be captured by the presence of closed string
(1,2) IASD fluxes, which give rise to a non-commutative structure. We check
that even in the presence of these non-perturbative effects the holomorphic
Yukawas remain independent of magnetic fluxes. Although fermion mass
hierarchies may be obtained from these non-perturbative effects, they would
give identical Yukawa couplings for D-quark and Lepton masses in SU(5) F-theory
GUT's, in contradiction with experiment. We point out that this problem may be
solved by appropriately normalizing the wavefunctions. We show in a simple toy
model how the presence of hypercharge flux may then be responsible for the
difference between D-quarks and Lepton masses in local SU(5) GUT's.
| [
{
"created": "Wed, 13 Apr 2011 20:18:13 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Sep 2011 15:53:35 GMT",
"version": "v2"
}
] | 2011-09-07 | [
[
"Aparicio",
"Luis",
""
],
[
"Font",
"Anamaria",
""
],
[
"Ibanez",
"Luis E.",
""
],
[
"Marchesano",
"Fernando",
""
]
] | We study the deformation induced by fluxes and instanton effects on Yukawa couplings involving 7-brane intersections in local F-theory constructions. In the absence of non-perturbative effects, holomorphic Yukawa couplings do not depend on open string fluxes. On the other hand instanton effects (or gaugino condensation on distant 7-branes) do induce corrections to the Yukawas. The leading order effect may also be captured by the presence of closed string (1,2) IASD fluxes, which give rise to a non-commutative structure. We check that even in the presence of these non-perturbative effects the holomorphic Yukawas remain independent of magnetic fluxes. Although fermion mass hierarchies may be obtained from these non-perturbative effects, they would give identical Yukawa couplings for D-quark and Lepton masses in SU(5) F-theory GUT's, in contradiction with experiment. We point out that this problem may be solved by appropriately normalizing the wavefunctions. We show in a simple toy model how the presence of hypercharge flux may then be responsible for the difference between D-quarks and Lepton masses in local SU(5) GUT's. |
1106.2580 | Chi-Ming Chang | Chi-Ming Chang, Xi Yin | Higher Spin Gravity with Matter in AdS_3 and Its CFT Dual | 58 pages; typos corrected, references added | null | 10.1007/JHEP10(2012)024 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study Vasiliev's system of higher spin gauge fields coupled to massive
scalars in AdS_3, and compute the tree level two and three point functions.
These are compared to the large N limit of the W_N minimal model, and
nontrivial agreements are found. We propose a modified version of the
conjecture of Gaberdiel and Gopakumar, under which the bulk theory is
perturbatively dual to a subsector of the CFT that closes on the sphere.
| [
{
"created": "Tue, 14 Jun 2011 00:21:31 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Jul 2012 21:00:28 GMT",
"version": "v2"
}
] | 2015-05-28 | [
[
"Chang",
"Chi-Ming",
""
],
[
"Yin",
"Xi",
""
]
] | We study Vasiliev's system of higher spin gauge fields coupled to massive scalars in AdS_3, and compute the tree level two and three point functions. These are compared to the large N limit of the W_N minimal model, and nontrivial agreements are found. We propose a modified version of the conjecture of Gaberdiel and Gopakumar, under which the bulk theory is perturbatively dual to a subsector of the CFT that closes on the sphere. |
1607.04099 | Roman Kolevatov | R. Kolevatov and S. Mironov | Cosmological bounces and Lorentzian wormholes in Galileon theories with
an extra scalar field | 12 pages. Journal version, minor corrections | Phys. Rev. D 94, 123516 (2016) | 10.1103/PhysRevD.94.123516 | INR-TH-2016-024 | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study whether it is possible to design a "classical" spatially flat
bouncing cosmology or a static, spherically symmetric asymptotically flat
Lorentzian wormhole in cubic Galileon theories interacting with an extra scalar
field. We show that bouncing models are always plagued with gradient
instabilities, while there are always ghosts in wormhole backgrounds.
| [
{
"created": "Thu, 14 Jul 2016 11:56:29 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Jan 2017 16:17:35 GMT",
"version": "v2"
}
] | 2017-01-20 | [
[
"Kolevatov",
"R.",
""
],
[
"Mironov",
"S.",
""
]
] | We study whether it is possible to design a "classical" spatially flat bouncing cosmology or a static, spherically symmetric asymptotically flat Lorentzian wormhole in cubic Galileon theories interacting with an extra scalar field. We show that bouncing models are always plagued with gradient instabilities, while there are always ghosts in wormhole backgrounds. |
hep-th/9903063 | Ludger Hannibal | Ludger Hannibal | Singularities in axially symmetric solutions of Einstein-Yang-Mills and
related theories | 3 pages, revtex | null | null | null | hep-th | null | We show that the solutions of SU(2) Yang-Mills-dilation and
Einstein-Yang-Mills-dilaton theories described in a sequence of papers by
Kleihaus and Kunz are not regular in the gauge field part.
| [
{
"created": "Mon, 8 Mar 1999 14:21:32 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Hannibal",
"Ludger",
""
]
] | We show that the solutions of SU(2) Yang-Mills-dilation and Einstein-Yang-Mills-dilaton theories described in a sequence of papers by Kleihaus and Kunz are not regular in the gauge field part. |
hep-th/0308135 | Kevin Goldstein | Kevin Goldstein and David A. Lowe | Real-Time Perturbation Theory in de Sitter Space | 18 pages, 3 figures, RevTex, some references added, minor corrections | Phys.Rev. D69 (2004) 023507 | 10.1103/PhysRevD.69.023507 | BROWN-HET-1375 | hep-th | null | We consider scalar field theory in de Sitter space with a general vacuum
invariant under the continuously connected symmetries of the de Sitter group.
We begin by reviewing approaches to define this as a perturbative quantum field
theory. One approach leads to Feynman diagrams with pinch singularities in the
general case, which renders the theory perturbatively ill-defined. Another
approach leads to well-defined perturbative correlation functions on the
imaginary time continuation of de Sitter space. When continued to real-time, a
path integral with a non-local action generates the time-ordered correlators.
Curiously, observables built out of local products of the fields show no sign
of this non-locality. However once one couples to gravity, we show acausal
effects are unavoidable and presumably make the theory ill-defined. The
Bunch-Davies vacuum state is the unique de Sitter invariant state that avoids
these problems.
| [
{
"created": "Thu, 21 Aug 2003 03:59:07 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Sep 2003 22:39:03 GMT",
"version": "v2"
},
{
"created": "Wed, 3 Dec 2003 00:26:08 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Goldstein",
"Kevin",
""
],
[
"Lowe",
"David A.",
""
]
] | We consider scalar field theory in de Sitter space with a general vacuum invariant under the continuously connected symmetries of the de Sitter group. We begin by reviewing approaches to define this as a perturbative quantum field theory. One approach leads to Feynman diagrams with pinch singularities in the general case, which renders the theory perturbatively ill-defined. Another approach leads to well-defined perturbative correlation functions on the imaginary time continuation of de Sitter space. When continued to real-time, a path integral with a non-local action generates the time-ordered correlators. Curiously, observables built out of local products of the fields show no sign of this non-locality. However once one couples to gravity, we show acausal effects are unavoidable and presumably make the theory ill-defined. The Bunch-Davies vacuum state is the unique de Sitter invariant state that avoids these problems. |
2407.00713 | Vladimir Khatsymovsky | V.M. Khatsymovsky | Soft synchronous gauge: principal value prescription | 16 pages, our previous paper arXiv:2312.17119 discusses a
gravitational analogue of the {\it Landshoff} prescription | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The synchronous gauge in gravity ($g_{0 \lambda} = - \delta_{0 \lambda}$) is
ill-defined due to the singularity at $p_0 = 0$ in the graviton propagator.
Previously we studied "softening" this gauge by considering instead the gauge
$n^\lambda g_{\lambda \mu} = 0$, $n^\lambda = (1, - \varepsilon (\partial^j
\partial_j )^{- 1} \partial^k ) $ in the limit $\varepsilon \to 0$. We now
explore the possibility of using a principal value prescription (not in the
standard Cauchy sense), which amounts, roughly speaking, to replacing
singularities $p_0^{-j} \Rightarrow [ (p_0 + i \varepsilon )^{-j} + (p_0 - i
\varepsilon )^{-j} ] / 2$, which then behave like distributions. We show that
such a propagator follows upon adding to the action a gauge-violating term of a
general form, which reduces to $ \sim \int f_\lambda \Lambda^{\lambda \mu}
f_\mu \d^4 x $ with a constant operator $\Lambda^{\lambda \mu}$ depending on
$\partial$ and a metric functional $f_\lambda$. The contribution of
Faddeev-Popov's ghosts to the effective action is analysed. For the required
intermediate regularization, the discrete structure of the theory at small
distances is implied. It is shown that the ghost contribution can be
disregarded in the limit $ \varepsilon \to 0$.
| [
{
"created": "Sun, 30 Jun 2024 14:34:12 GMT",
"version": "v1"
}
] | 2024-07-02 | [
[
"Khatsymovsky",
"V. M.",
""
]
] | The synchronous gauge in gravity ($g_{0 \lambda} = - \delta_{0 \lambda}$) is ill-defined due to the singularity at $p_0 = 0$ in the graviton propagator. Previously we studied "softening" this gauge by considering instead the gauge $n^\lambda g_{\lambda \mu} = 0$, $n^\lambda = (1, - \varepsilon (\partial^j \partial_j )^{- 1} \partial^k ) $ in the limit $\varepsilon \to 0$. We now explore the possibility of using a principal value prescription (not in the standard Cauchy sense), which amounts, roughly speaking, to replacing singularities $p_0^{-j} \Rightarrow [ (p_0 + i \varepsilon )^{-j} + (p_0 - i \varepsilon )^{-j} ] / 2$, which then behave like distributions. We show that such a propagator follows upon adding to the action a gauge-violating term of a general form, which reduces to $ \sim \int f_\lambda \Lambda^{\lambda \mu} f_\mu \d^4 x $ with a constant operator $\Lambda^{\lambda \mu}$ depending on $\partial$ and a metric functional $f_\lambda$. The contribution of Faddeev-Popov's ghosts to the effective action is analysed. For the required intermediate regularization, the discrete structure of the theory at small distances is implied. It is shown that the ghost contribution can be disregarded in the limit $ \varepsilon \to 0$. |
hep-th/9706103 | Klaus Rothe | R.L.P.G. Amaral, L.V. Belvedere, K.D. Rothe and F.G. Scholtz | Decoupled path integral formulation of chiral QCD$_2$ with $a_{JR}=2$ | LaTeX, 22 pages | Annals Phys. 262 (1998) 132-151 | 10.1006/aphy.1997.5738 | HD-THEP-97-19 | hep-th | null | We analyse the BRST constraints and corresponding Hilbert-space structure of
chiral QCD$_2$ in the decoupled formulation for the case of the
Jackiw-Rajaraman parameter $a=2$. We show that despite formal similarities this
theory is not equivalent to QCD$_2$, and that its extension to U(N) does not
lead to an infinite vacuum degeneracy.
| [
{
"created": "Fri, 13 Jun 1997 13:55:21 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Amaral",
"R. L. P. G.",
""
],
[
"Belvedere",
"L. V.",
""
],
[
"Rothe",
"K. D.",
""
],
[
"Scholtz",
"F. G.",
""
]
] | We analyse the BRST constraints and corresponding Hilbert-space structure of chiral QCD$_2$ in the decoupled formulation for the case of the Jackiw-Rajaraman parameter $a=2$. We show that despite formal similarities this theory is not equivalent to QCD$_2$, and that its extension to U(N) does not lead to an infinite vacuum degeneracy. |
hep-th/9804134 | Avijit K. Ganguly | Avijit K. Ganguly | Comment on Fermionic and Bosonic Pair-creation in an External Electric
Field at Finite Temperature | 8 pages, Latex, 3 postscript figures | null | null | null | hep-th | null | We show that contrary to the claim made by Hallin and Liljenberg in Phys.
Rev. D52 1150,(1995), (hep-th/9412188) the thermal correction to the thermal
decay or pair production rate for a system placed in a heat bath in the
presence of an external electric field, is always nonzero in the finite as well
as infinite time limit. Using the formalism outlined there, we reestimate the
decay rate for different values of temperature, mass and time.We also try to
identify the parameter ranges where the quantity of interest agrees with that
computed previously, at high temperature (in the infinite time limit), from the
imaginary part of the effective action using imaginary time and real time
formalism of thermal field theory. We also point out that in the strictly
infinite time limit, the correct decay rate as obtained from the work of Hallin
et. al. tends to diverge.
| [
{
"created": "Mon, 20 Apr 1998 17:16:08 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Ganguly",
"Avijit K.",
""
]
] | We show that contrary to the claim made by Hallin and Liljenberg in Phys. Rev. D52 1150,(1995), (hep-th/9412188) the thermal correction to the thermal decay or pair production rate for a system placed in a heat bath in the presence of an external electric field, is always nonzero in the finite as well as infinite time limit. Using the formalism outlined there, we reestimate the decay rate for different values of temperature, mass and time.We also try to identify the parameter ranges where the quantity of interest agrees with that computed previously, at high temperature (in the infinite time limit), from the imaginary part of the effective action using imaginary time and real time formalism of thermal field theory. We also point out that in the strictly infinite time limit, the correct decay rate as obtained from the work of Hallin et. al. tends to diverge. |
hep-th/0207188 | Jonathan R. Ellis | F. Anselmo (INFN, Bologna), J. Ellis (CERN), D.V. Nanopoulos (Texas
A&M, HARC, Athens Academy), G. Volkov (CERN, LAPP, PNPI) | Universal Calabi-Yau Algebra: Towards an Unification of Complex Geometry | 81 pages LaTeX, 8 eps figures | Int.J.Mod.Phys.A18:5541-5612,2003 | 10.1142/S0217751X03016136 | CERN-TH/2001-380 | hep-th | null | We present a universal normal algebra suitable for constructing and
classifying Calabi-Yau spaces in arbitrary dimensions. This algebraic approach
includes natural extensions of reflexive weight vectors to higher dimensions,
related to Batyrev's reflexive polyhedra, and their n-ary combinations. It also
includes a `dual' construction based on the Diophantine decomposition of
invariant monomials, which provides explicit recurrence formulae for the
numbers of Calabi-Yau spaces in arbitrary dimensions with Weierstrass, K3,
etc., fibrations. Our approach also yields simple algebraic relations between
chains of Calabi-Yau spaces in different dimensions, and concrete
visualizations of their singularities related to Cartan-Lie algebras. This
Universal Calabi-Yau Algebra is a powerful tool for decyphering the Calabi-Yau
genome in all dimensions.
| [
{
"created": "Sat, 20 Jul 2002 14:51:46 GMT",
"version": "v1"
}
] | 2009-09-11 | [
[
"Anselmo",
"F.",
"",
"INFN, Bologna"
],
[
"Ellis",
"J.",
"",
"CERN"
],
[
"Nanopoulos",
"D. V.",
"",
"Texas\n A&M, HARC, Athens Academy"
],
[
"Volkov",
"G.",
"",
"CERN, LAPP, PNPI"
]
] | We present a universal normal algebra suitable for constructing and classifying Calabi-Yau spaces in arbitrary dimensions. This algebraic approach includes natural extensions of reflexive weight vectors to higher dimensions, related to Batyrev's reflexive polyhedra, and their n-ary combinations. It also includes a `dual' construction based on the Diophantine decomposition of invariant monomials, which provides explicit recurrence formulae for the numbers of Calabi-Yau spaces in arbitrary dimensions with Weierstrass, K3, etc., fibrations. Our approach also yields simple algebraic relations between chains of Calabi-Yau spaces in different dimensions, and concrete visualizations of their singularities related to Cartan-Lie algebras. This Universal Calabi-Yau Algebra is a powerful tool for decyphering the Calabi-Yau genome in all dimensions. |
1404.5982 | Clifford V. Johnson | Clifford V. Johnson | Holographic Heat Engines | 15 pages, four figures, two tables, one trumpet. v2: Improvements to
refs. Some clarifying remarks added. There is further exploration of the
efficiency of one of the engine examples. Some improvements to discussion of
relation to holography in final section. Version to appear in CQG | Class. Quant. Grav. 31 (2014) 205002 | 10.1088/0264-9381/31/20/205002 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is shown that in theories of gravity where the cosmological constant is
considered a thermodynamic variable, it is natural to use black holes as heat
engines. Two examples are presented in detail using AdS charged black holes as
the working substance. We notice that for static black holes, the maximally
efficient traditional Carnot engine is also a Stirling engine. The case of
negative cosmological constant supplies a natural realization of these engines
in terms of the field theory description of the fluids to which they are
holographically dual. We first propose a precise picture of how the traditional
thermodynamic dictionary of holography is extended when the cosmological
constant is dynamical and then conjecture that the engine cycles can be
performed by using renormalization group flow. We speculate about the existence
of a natural dual field theory counterpart to the gravitational thermodynamic
volume.
| [
{
"created": "Wed, 23 Apr 2014 20:59:12 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Sep 2014 22:54:40 GMT",
"version": "v2"
}
] | 2015-08-04 | [
[
"Johnson",
"Clifford V.",
""
]
] | It is shown that in theories of gravity where the cosmological constant is considered a thermodynamic variable, it is natural to use black holes as heat engines. Two examples are presented in detail using AdS charged black holes as the working substance. We notice that for static black holes, the maximally efficient traditional Carnot engine is also a Stirling engine. The case of negative cosmological constant supplies a natural realization of these engines in terms of the field theory description of the fluids to which they are holographically dual. We first propose a precise picture of how the traditional thermodynamic dictionary of holography is extended when the cosmological constant is dynamical and then conjecture that the engine cycles can be performed by using renormalization group flow. We speculate about the existence of a natural dual field theory counterpart to the gravitational thermodynamic volume. |
hep-th/0409067 | Stefano Giusto | Stefano Giusto, Samir D. Mathur | Geometry of D1-D5-P bound states | 20 pages, LaTeX; references added | Nucl.Phys. B729 (2005) 203-220 | 10.1016/j.nuclphysb.2005.09.037 | null | hep-th | null | Supersymmetric solutions of 6-d supergravity (with two translation
symmetries) can be written as a hyperkahler base times a 2-D fiber. The subset
of these solutions which correspond to true bound states of D1-D5-P charges
give microstates of the 3-charge extremal black hole. To understand the
characteristics shared by the bound states we decompose known bound state
geometries into base-fiber form. The axial symmetry of the solutions make the
base Gibbons-Hawking. We find the base to be actually `pseudo-hyperkahler': The
signature changes from (4,0) to (0,4) across a hypersurface. 2-charge D1-D5
geometries are characterized by a `central curve' $S^1$; the analogue for
3-charge appears to be a hypersurface that for our metrics is an orbifold of
$S^1\times S^3$.
| [
{
"created": "Mon, 6 Sep 2004 17:34:18 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Nov 2004 22:13:32 GMT",
"version": "v2"
}
] | 2010-04-05 | [
[
"Giusto",
"Stefano",
""
],
[
"Mathur",
"Samir D.",
""
]
] | Supersymmetric solutions of 6-d supergravity (with two translation symmetries) can be written as a hyperkahler base times a 2-D fiber. The subset of these solutions which correspond to true bound states of D1-D5-P charges give microstates of the 3-charge extremal black hole. To understand the characteristics shared by the bound states we decompose known bound state geometries into base-fiber form. The axial symmetry of the solutions make the base Gibbons-Hawking. We find the base to be actually `pseudo-hyperkahler': The signature changes from (4,0) to (0,4) across a hypersurface. 2-charge D1-D5 geometries are characterized by a `central curve' $S^1$; the analogue for 3-charge appears to be a hypersurface that for our metrics is an orbifold of $S^1\times S^3$. |
1709.08383 | Riccardo Argurio | Riccardo Argurio, Jelle Hartong, Andrea Marzolla, Daniel Naegels | Symmetry breaking in holographic theories with Lifshitz scaling | 39 pages, 3 figures. v2: a few clarifying comments added, matches
published version | null | 10.1007/JHEP02(2018)053 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study holographically Lifshitz-scaling theories with broken symmetries. In
order to do this, we set up a bulk action with a complex scalar and a massless
vector on a background which consists in a Lifshitz metric and a massive
vector. We first study separately the complex scalar and the massless vector,
finding a similar pattern in the two-point functions that we can compute
analytically. By coupling the probe complex scalar to the background massive
vector we can construct probe actions that are more general than the usual
Klein--Gordon action. Some of these actions have Galilean boost symmetry.
Finally, in the presence of a symmetry breaking scalar profile in the bulk, we
reproduce the expected Ward identities of a Lifshitz-scaling theory with a
broken global continuous symmetry. In the spontaneous case, the latter imply
the presence of a gapless mode, the Goldstone boson, which will have dispersion
relations dictated by the Lifshitz scaling.
| [
{
"created": "Mon, 25 Sep 2017 09:03:08 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Feb 2018 13:20:25 GMT",
"version": "v2"
}
] | 2018-04-04 | [
[
"Argurio",
"Riccardo",
""
],
[
"Hartong",
"Jelle",
""
],
[
"Marzolla",
"Andrea",
""
],
[
"Naegels",
"Daniel",
""
]
] | We study holographically Lifshitz-scaling theories with broken symmetries. In order to do this, we set up a bulk action with a complex scalar and a massless vector on a background which consists in a Lifshitz metric and a massive vector. We first study separately the complex scalar and the massless vector, finding a similar pattern in the two-point functions that we can compute analytically. By coupling the probe complex scalar to the background massive vector we can construct probe actions that are more general than the usual Klein--Gordon action. Some of these actions have Galilean boost symmetry. Finally, in the presence of a symmetry breaking scalar profile in the bulk, we reproduce the expected Ward identities of a Lifshitz-scaling theory with a broken global continuous symmetry. In the spontaneous case, the latter imply the presence of a gapless mode, the Goldstone boson, which will have dispersion relations dictated by the Lifshitz scaling. |
2404.10134 | Masoumeh Ghasemkhani | M. Ghasemkhani, G. Soleimani, R. Bufalo | On the gauge invariance of the higher-derivative Yang-Mills-Chern-Simons
action | 23 pages, matches the published version | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, we study the perturbative generation of the gauge invariant
effective action for the non-Abelian gauge field in a $(2+1)$-dimensional
spacetime. We present a detailed analysis of the two, three and four-point
functions in order to determine the non-Abelian Chern-Simons terms (parity odd)
and Yang-Mills terms (parity even). Moreover, these terms are supplemented by
the higher-derivative corrections which resulted in the Alekseev-Arbuzov-Baikov
effective action (parity even) plus the higher-derivative (HD) corrections to
the Chern-Simons terms (parity odd). In order to highlight some features about
the perturbative generation of the effective action, we present a discussion
based on the dimensional analysis, which allows us to establish the general
structure of the permissible terms to guarantee the gauge invariance of the
higher-derivative parts.
| [
{
"created": "Mon, 15 Apr 2024 20:53:03 GMT",
"version": "v1"
},
{
"created": "Wed, 29 May 2024 20:09:33 GMT",
"version": "v2"
}
] | 2024-05-31 | [
[
"Ghasemkhani",
"M.",
""
],
[
"Soleimani",
"G.",
""
],
[
"Bufalo",
"R.",
""
]
] | In this work, we study the perturbative generation of the gauge invariant effective action for the non-Abelian gauge field in a $(2+1)$-dimensional spacetime. We present a detailed analysis of the two, three and four-point functions in order to determine the non-Abelian Chern-Simons terms (parity odd) and Yang-Mills terms (parity even). Moreover, these terms are supplemented by the higher-derivative corrections which resulted in the Alekseev-Arbuzov-Baikov effective action (parity even) plus the higher-derivative (HD) corrections to the Chern-Simons terms (parity odd). In order to highlight some features about the perturbative generation of the effective action, we present a discussion based on the dimensional analysis, which allows us to establish the general structure of the permissible terms to guarantee the gauge invariance of the higher-derivative parts. |
1003.2974 | Dietmar Klemm | Dietmar Klemm and Emanuele Zorzan | The timelike half-supersymmetric backgrounds of N=2, D=4 supergravity
with Fayet-Iliopoulos gauging | 38 pages, uses JHEP3.cls | Phys.Rev.D82:045012,2010 | 10.1103/PhysRevD.82.045012 | IFUM-953-FT | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Subject to some relatively mild assumptions, we derive the complete form of
all timelike half-supersymmetric solutions to N=2, D=4 gauged supergravity
coupled to an arbitrary number of abelian vector multiplets. This is done using
spinorial geometry techniques. Explicit examples are given for a simple
prepotential. Among the solutions, there are near-horizon geometries of
extremal rotating BPS black holes still to be discovered, with a nontrivial
dependence of the scalar fields on one of the horizon coordinates.
| [
{
"created": "Mon, 15 Mar 2010 17:23:39 GMT",
"version": "v1"
}
] | 2014-11-20 | [
[
"Klemm",
"Dietmar",
""
],
[
"Zorzan",
"Emanuele",
""
]
] | Subject to some relatively mild assumptions, we derive the complete form of all timelike half-supersymmetric solutions to N=2, D=4 gauged supergravity coupled to an arbitrary number of abelian vector multiplets. This is done using spinorial geometry techniques. Explicit examples are given for a simple prepotential. Among the solutions, there are near-horizon geometries of extremal rotating BPS black holes still to be discovered, with a nontrivial dependence of the scalar fields on one of the horizon coordinates. |
hep-th/0003193 | Solange Odile Saliu | C. Bizdadea, M. G. Mocioaca, S. O. Saliu | On the `Irreducible' Freedman-Townsend Vertex | Latex 2.09, 10 pages | Phys.Lett. B459 (1999) 145-149 | 10.1016/S0370-2693(99)00690-5 | null | hep-th | null | An irreducible cohomological derivation of the Freedman-Townsend vertex in
four dimensions is given.
| [
{
"created": "Wed, 22 Mar 2000 09:19:41 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Bizdadea",
"C.",
""
],
[
"Mocioaca",
"M. G.",
""
],
[
"Saliu",
"S. O.",
""
]
] | An irreducible cohomological derivation of the Freedman-Townsend vertex in four dimensions is given. |
1010.4225 | Stefano Bellucci | Stefano Bellucci, Vinod Chandra and Bhupendra Nath Tiwari | Thermodynamic Geometric Stability of Quarkonia states | 45 pages, 17 figures, Keywords: Thermodynamic Geometry, Quarkonia,
Massive Quarks, QCD Form Factor. PACS: 02.40.-k; 14.40.Pq; 12.40.Nn; 14.70.Dj | Int.J.Mod.Phys.A26:2665-2724,2011 | 10.1142/S0217751X11053511 | null | hep-th hep-ph math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute exact thermodynamic geometric properties of the non-abelian
quarkonium bound states from the consideration of one-loop strong coupling.
From the general statistical principle, the intrinsic geometric nature of
strongly coupled QCD is analyzed for the Columbic, rising and Regge rotating
regimes. Without any approximation, we have obtained the non-linear mass effect
for the Bloch-Nordsieck rotating strongly coupled quarkonia. For a range of
physical parameters, we show in each cases that there exists a well-defined,
non-degenerate, curved, intrinsic Riemannian manifold. As the gluons become
softer and softer, we find in the limit of the Bloch-Nordsieck resummation that
the strong coupling obtained from the Sudhakov form factor possesses exact
local and global thermodynamic properties of the underlying mesons, kaons and
$D_s$ particles.
| [
{
"created": "Wed, 20 Oct 2010 15:17:43 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Oct 2010 14:02:32 GMT",
"version": "v2"
}
] | 2011-06-28 | [
[
"Bellucci",
"Stefano",
""
],
[
"Chandra",
"Vinod",
""
],
[
"Tiwari",
"Bhupendra Nath",
""
]
] | We compute exact thermodynamic geometric properties of the non-abelian quarkonium bound states from the consideration of one-loop strong coupling. From the general statistical principle, the intrinsic geometric nature of strongly coupled QCD is analyzed for the Columbic, rising and Regge rotating regimes. Without any approximation, we have obtained the non-linear mass effect for the Bloch-Nordsieck rotating strongly coupled quarkonia. For a range of physical parameters, we show in each cases that there exists a well-defined, non-degenerate, curved, intrinsic Riemannian manifold. As the gluons become softer and softer, we find in the limit of the Bloch-Nordsieck resummation that the strong coupling obtained from the Sudhakov form factor possesses exact local and global thermodynamic properties of the underlying mesons, kaons and $D_s$ particles. |
1903.00972 | Hong Zhe Chen | Hong Zhe Chen, Mark Van Raamsdonk | Holographic CFT states for localized perturbations to AdS black holes | 27 pages, 18 figures; summary and outlook added | JHEP 08 (2019) 062 | 10.1007/JHEP08(2019)062 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note, we describe a holographic CFT construction of states dual to
scalar perturbations of the maximally extended three-dimensional
AdS-Schwarzschild black hole. The states are constructed by adding sources for
a scalar operator to the path integral that constructs the thermofield double
state. For a scalar field of arbitrary mass, we provide the general map between
sources and scalar field perturbations at linear order. With this, we
investigate to what extent it is possible using this construction to produce
perturbations localized to one side of the black hole horizon. Our results
suggest that it is possible to produce arbitrarily localized perturbations (and
thus, plausibly, general linear perturbations to the black hole initial data
slice), but that the amplitude of the perturbation must be taken small as the
perturbation becomes more localized in order that the sources do not diverge,
as found for the pure AdS case considered in arXiv:1709.10101.
| [
{
"created": "Sun, 3 Mar 2019 19:40:23 GMT",
"version": "v1"
},
{
"created": "Thu, 9 May 2019 08:18:06 GMT",
"version": "v2"
},
{
"created": "Thu, 1 Aug 2019 00:26:14 GMT",
"version": "v3"
}
] | 2022-04-27 | [
[
"Chen",
"Hong Zhe",
""
],
[
"Van Raamsdonk",
"Mark",
""
]
] | In this note, we describe a holographic CFT construction of states dual to scalar perturbations of the maximally extended three-dimensional AdS-Schwarzschild black hole. The states are constructed by adding sources for a scalar operator to the path integral that constructs the thermofield double state. For a scalar field of arbitrary mass, we provide the general map between sources and scalar field perturbations at linear order. With this, we investigate to what extent it is possible using this construction to produce perturbations localized to one side of the black hole horizon. Our results suggest that it is possible to produce arbitrarily localized perturbations (and thus, plausibly, general linear perturbations to the black hole initial data slice), but that the amplitude of the perturbation must be taken small as the perturbation becomes more localized in order that the sources do not diverge, as found for the pure AdS case considered in arXiv:1709.10101. |
1605.08060 | Alesandro Santos A. F. Santos | A. F. Santos and Faqir C. Khanna | Gravitational Casimir effect at finite temperature | 15 pages, title slightly changed, presentation improved. Version
accepted for publication in IJTP | null | 10.1007/s10773-016-3156-y | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The energy-momentum tensor for the gravitoelectromagnetism (GEM) theory in
the real-time finite temperature field theory formalism is presented.
Expressions for the Casimir energy and pressure at zero and finite temperature
are obtained. An analysis of the Casimir effect for the GEM field is developed.
| [
{
"created": "Wed, 25 May 2016 20:13:55 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Aug 2016 21:33:27 GMT",
"version": "v2"
}
] | 2016-12-21 | [
[
"Santos",
"A. F.",
""
],
[
"Khanna",
"Faqir C.",
""
]
] | The energy-momentum tensor for the gravitoelectromagnetism (GEM) theory in the real-time finite temperature field theory formalism is presented. Expressions for the Casimir energy and pressure at zero and finite temperature are obtained. An analysis of the Casimir effect for the GEM field is developed. |
0705.3380 | Jose M. M. Senovilla | Marc Mars, Jos\'e M. M. Senovilla, Ra\"ul Vera | Lorentzian and signature changing branes | 23 pages, 2 figures | Phys.Rev.D76:044029,2007 | 10.1103/PhysRevD.76.044029 | null | hep-th gr-qc | null | General hypersurface layers are considered in order to describe brane-worlds
and shell cosmologies. No restriction is placed on the causal character of the
hypersurface which may thus have internal changes of signature. Strengthening
the results in our previous letter [1], we confirm that a good, regular and
consistent description of signature change is achieved in these brane/shells
scenarios, while keeping the hypersurface and the bulk completely regular. Our
formalism allows for a unified description of the traditional timelike
branes/shells together with the signature-changing, or pure null, ones. This
allows for a detailed comparison of the results in both situations. An
application to the case of hypersurface layers in static bulks is presented,
leading to the general Robertson-Walker geometry on the layer --with a possible
signature change. Explicit examples on anti de Sitter bulks are then studied.
The permitted behaviours in different settings ($Z_{2}$-mirror branes,
asymmetric shells, signature-changing branes) are analysed in detail. We show
in particular that (i) in asymmetric shells there is an upper bound for the
energy density, and (ii) that the energy density within the brane vanishes when
approaching a change of signature. The description of a signature change as a
`singularity' seen from within the brane is considered. We also find new
relations between the fundamental constants in the brane/shell, its tension,
and the cosmological and gravitational constants of the bulk, independently of
the existence or not of a change of signature.
| [
{
"created": "Wed, 23 May 2007 13:54:45 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Mars",
"Marc",
""
],
[
"Senovilla",
"José M. M.",
""
],
[
"Vera",
"Raül",
""
]
] | General hypersurface layers are considered in order to describe brane-worlds and shell cosmologies. No restriction is placed on the causal character of the hypersurface which may thus have internal changes of signature. Strengthening the results in our previous letter [1], we confirm that a good, regular and consistent description of signature change is achieved in these brane/shells scenarios, while keeping the hypersurface and the bulk completely regular. Our formalism allows for a unified description of the traditional timelike branes/shells together with the signature-changing, or pure null, ones. This allows for a detailed comparison of the results in both situations. An application to the case of hypersurface layers in static bulks is presented, leading to the general Robertson-Walker geometry on the layer --with a possible signature change. Explicit examples on anti de Sitter bulks are then studied. The permitted behaviours in different settings ($Z_{2}$-mirror branes, asymmetric shells, signature-changing branes) are analysed in detail. We show in particular that (i) in asymmetric shells there is an upper bound for the energy density, and (ii) that the energy density within the brane vanishes when approaching a change of signature. The description of a signature change as a `singularity' seen from within the brane is considered. We also find new relations between the fundamental constants in the brane/shell, its tension, and the cosmological and gravitational constants of the bulk, independently of the existence or not of a change of signature. |
1611.09381 | Piotr Witkowski | Johanna Erdmenger, Daniel Fernandez, Prieslei Goulart and Piotr
Witkowski | Conductivities from attractors | 29 pages | JHEP(03)2017 147 | 10.1007/JHEP03(2017)147 | MPP-2016-292 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the context of applications of the AdS/CFT correspondence to condensed
matter physics, we compute conductivities for field theory duals of dyonic
planar black holes in 3+1-dimensional Einstein-Maxwell-dilaton theories at zero
temperature. We combine the near-horizon data obtained via Sen's entropy
function formalism with known expressions for conductivities. In this way we
express the conductivities in terms of the extremal black hole charges. We
apply our approach to three different examples for dilaton theories for which
the background geometry is not known explicitly. For a constant scalar
potential, the thermoelectric conductivity explicitly scales as
$\alpha_{xy}\sim N^{3/2}$, as expected. For the same model, our approach yields
a finite result for the heat conductivity $\kappa/T \propto N^{3/2}$ even for
$T \rightarrow 0$.
| [
{
"created": "Mon, 28 Nov 2016 21:11:02 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Mar 2017 16:23:18 GMT",
"version": "v2"
}
] | 2017-03-30 | [
[
"Erdmenger",
"Johanna",
""
],
[
"Fernandez",
"Daniel",
""
],
[
"Goulart",
"Prieslei",
""
],
[
"Witkowski",
"Piotr",
""
]
] | In the context of applications of the AdS/CFT correspondence to condensed matter physics, we compute conductivities for field theory duals of dyonic planar black holes in 3+1-dimensional Einstein-Maxwell-dilaton theories at zero temperature. We combine the near-horizon data obtained via Sen's entropy function formalism with known expressions for conductivities. In this way we express the conductivities in terms of the extremal black hole charges. We apply our approach to three different examples for dilaton theories for which the background geometry is not known explicitly. For a constant scalar potential, the thermoelectric conductivity explicitly scales as $\alpha_{xy}\sim N^{3/2}$, as expected. For the same model, our approach yields a finite result for the heat conductivity $\kappa/T \propto N^{3/2}$ even for $T \rightarrow 0$. |
0705.4656 | Frederic P. Schuller | Frederic P. Schuller, Mattias N. R. Wohlfarth | Radiation-dominated area metric cosmology | 23 pages, no figures; references added | JCAP 0712:013,2007 | 10.1088/1475-7516/2007/12/013 | null | hep-th | null | We provide further crucial support for a refined, area metric structure of
spacetime. Based on the solution of conceptual issues, such as the consistent
coupling of fermions and the covariant identification of radiation fields on
area metric backgrounds, we show that the radiation-dominated epoch of area
metric cosmology is equivalent to that epoch in standard Einstein cosmology.
This ensures, in particular, successful nucleosynthesis. This surprising result
complements the previously derived prediction of a small late-time acceleration
of an area metric universe.
| [
{
"created": "Thu, 31 May 2007 17:25:58 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Jun 2007 21:07:36 GMT",
"version": "v2"
}
] | 2009-04-17 | [
[
"Schuller",
"Frederic P.",
""
],
[
"Wohlfarth",
"Mattias N. R.",
""
]
] | We provide further crucial support for a refined, area metric structure of spacetime. Based on the solution of conceptual issues, such as the consistent coupling of fermions and the covariant identification of radiation fields on area metric backgrounds, we show that the radiation-dominated epoch of area metric cosmology is equivalent to that epoch in standard Einstein cosmology. This ensures, in particular, successful nucleosynthesis. This surprising result complements the previously derived prediction of a small late-time acceleration of an area metric universe. |
1604.02834 | Zhengwen Liu | Song He, Zhengwen Liu and Jun-Bao Wu | Scattering Equations, Twistor-string Formulas and Double-soft Limits in
Four Dimensions | 22 pages, 2 tables; v2: ref added, minor typos fixed | JHEP 1607 (2016) 060 | 10.1007/JHEP07(2016)060 | CP3-16-35 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study scattering equations and formulas for tree amplitudes of various
theories in four dimensions, in terms of spinor helicity variables and on-shell
superspace for supersymmetric theories. As originally obtained in Witten's
twistor string theory and other twistor-string models, the equations can take
either polynomial or rational forms, and we clarify the simple relation between
them. We present new, four-dimensional formulas for all tree amplitudes in the
non-linear sigma model, a special Galileon theory and the maximally
supersymmetric completion of the Dirac-Born-Infeld theory. Furthermore, we
apply the formulas to study various double-soft theorems in these theories,
including the emissions of a pair of soft photons, fermions and scalars for
super-amplitudes in super-DBI theory.
| [
{
"created": "Mon, 11 Apr 2016 08:39:46 GMT",
"version": "v1"
},
{
"created": "Thu, 5 May 2016 07:55:38 GMT",
"version": "v2"
}
] | 2016-07-15 | [
[
"He",
"Song",
""
],
[
"Liu",
"Zhengwen",
""
],
[
"Wu",
"Jun-Bao",
""
]
] | We study scattering equations and formulas for tree amplitudes of various theories in four dimensions, in terms of spinor helicity variables and on-shell superspace for supersymmetric theories. As originally obtained in Witten's twistor string theory and other twistor-string models, the equations can take either polynomial or rational forms, and we clarify the simple relation between them. We present new, four-dimensional formulas for all tree amplitudes in the non-linear sigma model, a special Galileon theory and the maximally supersymmetric completion of the Dirac-Born-Infeld theory. Furthermore, we apply the formulas to study various double-soft theorems in these theories, including the emissions of a pair of soft photons, fermions and scalars for super-amplitudes in super-DBI theory. |
1710.06880 | Ori J. Ganor | Ori J. Ganor | Supersymmetric interactions of a six-dimensional self-dual tensor and
fixed-shape second quantized strings | 6 pages, title modified to conform to Physical Review guidelines,
references added, and minor additional changes for clarity | Phys. Rev. D 97, 041901 (2018) | 10.1103/PhysRevD.97.041901 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | "Curvepole (2,0)-theory" is a deformation of the (2,0)-theory with nonlocal
interactions. A "curvepole" is defined as a two-dimensional generalization of a
dipole. It is an object of fixed two-dimensional shape whose boundary is a
charged curve that interacts with a two-form gauge field. Curvepole theory was
previously only defined indirectly via M-theory. Here we propose a
supersymmetric Lagrangian, constructed explicitly up to quartic terms, for an
"abelian" curvepole theory, which is an interacting deformation of the free
(2,0) tensor mutliplet. This theory contains fields whose quanta are curvepoles
(i.e., fixed-shape strings). Supersymmetry is preserved (at least up to quartic
terms) if the shape of the curvepoles is (2d) planar. This nonlocal 6d QFT may
also serve as a UV completion for certain (local) 5d gauge theories.
| [
{
"created": "Wed, 18 Oct 2017 18:07:35 GMT",
"version": "v1"
},
{
"created": "Sun, 26 Nov 2017 21:41:18 GMT",
"version": "v2"
},
{
"created": "Tue, 28 Nov 2017 04:41:20 GMT",
"version": "v3"
}
] | 2018-03-07 | [
[
"Ganor",
"Ori J.",
""
]
] | "Curvepole (2,0)-theory" is a deformation of the (2,0)-theory with nonlocal interactions. A "curvepole" is defined as a two-dimensional generalization of a dipole. It is an object of fixed two-dimensional shape whose boundary is a charged curve that interacts with a two-form gauge field. Curvepole theory was previously only defined indirectly via M-theory. Here we propose a supersymmetric Lagrangian, constructed explicitly up to quartic terms, for an "abelian" curvepole theory, which is an interacting deformation of the free (2,0) tensor mutliplet. This theory contains fields whose quanta are curvepoles (i.e., fixed-shape strings). Supersymmetry is preserved (at least up to quartic terms) if the shape of the curvepoles is (2d) planar. This nonlocal 6d QFT may also serve as a UV completion for certain (local) 5d gauge theories. |
hep-th/0311167 | Gerald V. Dunne | Gerald V. Dunne | Two-Loop Diagrammatics in a Self-Dual Background | 16 pp, Latex, Axodraw | JHEP 0402:013,2004 | 10.1088/1126-6708/2004/02/013 | null | hep-th hep-ph math-ph math.MP | null | Diagrammatic rules are developed for simplifying two-loop QED diagrams with
propagators in a constant self-dual background field. This diagrammatic
analysis, using dimensional regularization, is used to explain how the fully
renormalized two-loop Euler-Heisenberg effective Lagrangian for QED in a
self-dual background field is naturally expressed in terms of one-loop
diagrams. The connection between the two-loop and one-loop vacuum diagrams in a
background field parallels a corresponding connection for free vacuum diagrams,
without a background field, which can be derived by simple algebraic
manipulations. It also mirrors similar behavior recently found for two-loop
amplitudes in N=4 SUSY Yang-Mills theory.
| [
{
"created": "Tue, 18 Nov 2003 21:19:31 GMT",
"version": "v1"
}
] | 2010-02-03 | [
[
"Dunne",
"Gerald V.",
""
]
] | Diagrammatic rules are developed for simplifying two-loop QED diagrams with propagators in a constant self-dual background field. This diagrammatic analysis, using dimensional regularization, is used to explain how the fully renormalized two-loop Euler-Heisenberg effective Lagrangian for QED in a self-dual background field is naturally expressed in terms of one-loop diagrams. The connection between the two-loop and one-loop vacuum diagrams in a background field parallels a corresponding connection for free vacuum diagrams, without a background field, which can be derived by simple algebraic manipulations. It also mirrors similar behavior recently found for two-loop amplitudes in N=4 SUSY Yang-Mills theory. |
2212.06677 | Walter Goldberger | Walter D. Goldberger | Effective Field Theory for Compact Binary Dynamics | 49 pages, 4 figures. Invited chapter for the Section "Effective
Quantum Gravity" edited by C. Burgess and J. Donoghue of the "Handbook of
Quantum Gravity" (Eds. C. Bambi, L. Modesto and I.L. Shapiro, Springer
Nature, expected in 2023) | null | null | null | hep-th gr-qc hep-ph | http://creativecommons.org/licenses/by/4.0/ | I review the effective field theory (EFT) description of gravitating compact
objects. The focus is on kinematic regimes where gravity is perturbative, in
particular the adiabatic inspiral phase relevant to gravitational wave
detection. For such configurations, there is a hierarchy of length scales which
all play a role in the dynamics, ranging from the gravitational radius, to the
size of the objects, to their typical orbital separation, and finally the
wavelength of the radiation emitted by the system. To disentangle these scales,
and to achieve manifest power counting in the expansion parameter, it is
necessary to construct a tower of EFTs of gravity, each coupled to distinct
line defect localized degrees of freedom. I describe the relevant effective
theories at each scale as well as the matching between these theories across
each physical threshold. While the main applications of these methods are to
classical dynamics, quantum gravity effects, e.g. Hawking graviton exchange,
can be systematically incorporated if the momentum transfers are small compared
to the Planck mass.
| [
{
"created": "Tue, 13 Dec 2022 15:53:43 GMT",
"version": "v1"
}
] | 2022-12-14 | [
[
"Goldberger",
"Walter D.",
""
]
] | I review the effective field theory (EFT) description of gravitating compact objects. The focus is on kinematic regimes where gravity is perturbative, in particular the adiabatic inspiral phase relevant to gravitational wave detection. For such configurations, there is a hierarchy of length scales which all play a role in the dynamics, ranging from the gravitational radius, to the size of the objects, to their typical orbital separation, and finally the wavelength of the radiation emitted by the system. To disentangle these scales, and to achieve manifest power counting in the expansion parameter, it is necessary to construct a tower of EFTs of gravity, each coupled to distinct line defect localized degrees of freedom. I describe the relevant effective theories at each scale as well as the matching between these theories across each physical threshold. While the main applications of these methods are to classical dynamics, quantum gravity effects, e.g. Hawking graviton exchange, can be systematically incorporated if the momentum transfers are small compared to the Planck mass. |
2407.18356 | Soumya Sinha Babu | Soumya Sinha Babu | Integral Regulators on Mirror Curves with Mass Parameter | arXiv admin note: text overlap with arXiv:2110.08482 | null | null | null | hep-th math-ph math.KT math.MP math.NT | http://creativecommons.org/licenses/by/4.0/ | In 2015, Codesido-Grassi-Marino laid the foundation of a connection between
local CY 3-folds and the spectra of operators attached to their mirror curves
in the context of Topological String Theory. In a 2024 paper with C. Doran and
M. Kerr, the author previously deduced two consequences of this conjecture; one
relating zeroes of higher normal function to the spectra of operators of genus
one curves, the other connecting integral regulators of $K_2$-classes on mirror
curves to dilogarithm values at algebraic arguments. We now show that the
latter continues to hold in the presence of a mass parameter, thus expanding
the range of the conjecture.
| [
{
"created": "Thu, 25 Jul 2024 19:41:44 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Jul 2024 01:50:48 GMT",
"version": "v2"
}
] | 2024-07-30 | [
[
"Babu",
"Soumya Sinha",
""
]
] | In 2015, Codesido-Grassi-Marino laid the foundation of a connection between local CY 3-folds and the spectra of operators attached to their mirror curves in the context of Topological String Theory. In a 2024 paper with C. Doran and M. Kerr, the author previously deduced two consequences of this conjecture; one relating zeroes of higher normal function to the spectra of operators of genus one curves, the other connecting integral regulators of $K_2$-classes on mirror curves to dilogarithm values at algebraic arguments. We now show that the latter continues to hold in the presence of a mass parameter, thus expanding the range of the conjecture. |
hep-th/0106143 | Dejan Stojkovic | Glenn D. Starkman, Dejan Stojkovic and Mark Trodden | Homogeneity, Flatness and "Large" Extra Dimensions | minor changes, matches version published in Phys. Rev. Lett | Phys.Rev.Lett.87:231303,2001 | 10.1103/PhysRevLett.87.231303 | null | hep-th astro-ph gr-qc hep-ph | null | We consider a model in which the universe is the direct product of a
(3+1)-dimensional Friedmann, Robertson-Walker (FRW) space and a compact
hyperbolic manifold (CHM). Standard Model fields are confined to a point in the
CHM (i.e. to a brane). In such a space, the decay of massive Kaluza-Klein modes
leads to the injection of any initial bulk entropy into the observable (FRW)
universe. Both Kolmogoro-Sinai mixing due to the non-integrability of flows on
CHMs and the large statistical averaging inherent in the collapse of the
initial entropy onto the brane smooth out any initial inhomogeneities in the
distribution of matter and of 3-curvature on any slice of constant 3-position.
If, as we assume, the initial densities and curvatures in each fundamental
correlation volume are drawn from some universal underlying distributions
independent of location within the space, then these smoothing mechanisms
effectively reduce the density and curvature inhomogeneities projected onto the
FRW. This smoothing is sufficient to account for the current homogeneity and
flatness of the universe. The fundamental scale of physics can be $\gsim 1$TeV.
All relevant mass and length scales can have natural values in fundamental
units. All large dimensionless numbers, such as the entropy of the universe,
are understood as consequences of the topology of spacetime which is not
explained. No model for the origin of structure is proffered.
| [
{
"created": "Fri, 15 Jun 2001 21:52:57 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Jan 2002 16:44:51 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Starkman",
"Glenn D.",
""
],
[
"Stojkovic",
"Dejan",
""
],
[
"Trodden",
"Mark",
""
]
] | We consider a model in which the universe is the direct product of a (3+1)-dimensional Friedmann, Robertson-Walker (FRW) space and a compact hyperbolic manifold (CHM). Standard Model fields are confined to a point in the CHM (i.e. to a brane). In such a space, the decay of massive Kaluza-Klein modes leads to the injection of any initial bulk entropy into the observable (FRW) universe. Both Kolmogoro-Sinai mixing due to the non-integrability of flows on CHMs and the large statistical averaging inherent in the collapse of the initial entropy onto the brane smooth out any initial inhomogeneities in the distribution of matter and of 3-curvature on any slice of constant 3-position. If, as we assume, the initial densities and curvatures in each fundamental correlation volume are drawn from some universal underlying distributions independent of location within the space, then these smoothing mechanisms effectively reduce the density and curvature inhomogeneities projected onto the FRW. This smoothing is sufficient to account for the current homogeneity and flatness of the universe. The fundamental scale of physics can be $\gsim 1$TeV. All relevant mass and length scales can have natural values in fundamental units. All large dimensionless numbers, such as the entropy of the universe, are understood as consequences of the topology of spacetime which is not explained. No model for the origin of structure is proffered. |
1010.1775 | Raphael Flauger | Raphael Flauger, Enrico Pajer, Stefanos Papanikolaou | A Striped Holographic Superconductor | 30 pages, 11 figures, v2: references added, figure 4 replaced | Phys.Rev.D83:064009,2011 | 10.1103/PhysRevD.83.064009 | IPMU10-0179 | hep-th cond-mat.supr-con | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study inhomogeneous solutions of a 3+1-dimensional Einstein-Maxwell-scalar
theory. Our results provide a holographic model of superconductivity in the
presence of a charge density wave sourced by a modulated chemical potential. We
find that below a critical temperature superconducting stripes develop. We show
that they are thermodynamically favored over the normal state by computing the
grand canonical potential. We investigate the dependence of the critical
temperature on the modulation's wave vector, which characterizes the
inhomogeneity. We find that it is qualitatively similar to that expected for a
weakly coupled BCS theory, but we point out a quantitative difference. Finally,
we use our solutions to compute the conductivity along the direction of the
stripes.
| [
{
"created": "Fri, 8 Oct 2010 20:00:04 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Nov 2010 18:26:12 GMT",
"version": "v2"
}
] | 2011-03-22 | [
[
"Flauger",
"Raphael",
""
],
[
"Pajer",
"Enrico",
""
],
[
"Papanikolaou",
"Stefanos",
""
]
] | We study inhomogeneous solutions of a 3+1-dimensional Einstein-Maxwell-scalar theory. Our results provide a holographic model of superconductivity in the presence of a charge density wave sourced by a modulated chemical potential. We find that below a critical temperature superconducting stripes develop. We show that they are thermodynamically favored over the normal state by computing the grand canonical potential. We investigate the dependence of the critical temperature on the modulation's wave vector, which characterizes the inhomogeneity. We find that it is qualitatively similar to that expected for a weakly coupled BCS theory, but we point out a quantitative difference. Finally, we use our solutions to compute the conductivity along the direction of the stripes. |
hep-th/0103141 | Kei-Ichi Kondo | Kei-Ichi Kondo (Chiba Univ.) | Spontaneous breakdown of BRST supersymmetry due to ghost condensation in
QCD | 15 pages, no figures | null | null | CHIBA-EP-125 | hep-th | null | We argue that the BRST and the anti-BRST super symmetries in the
four-dimensional Yang-Mills theory can be spontaneously broken in a nonlinear
partial gauge due to ghost-anti-ghost condensation. However, we show that the
spontaneous BRST symmetry breaking can be avoided if we adopt the modified
Maximal Abelian gauge which is an orthosymplectic $OSp(4|2)$ invariant
renormalizable gauge proposed by the author to derive quark confinement. We
compare the Maximal Abelian gauge with the conventional $OSp(4|2)$ invariant
gauge proposed by Delbourgo-Jarvis and Baulieu-Thierry-Mieg. Finally, an
implication to the Gribov problem is briefly mentioned.
| [
{
"created": "Sun, 18 Mar 2001 09:35:00 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Kondo",
"Kei-Ichi",
"",
"Chiba Univ."
]
] | We argue that the BRST and the anti-BRST super symmetries in the four-dimensional Yang-Mills theory can be spontaneously broken in a nonlinear partial gauge due to ghost-anti-ghost condensation. However, we show that the spontaneous BRST symmetry breaking can be avoided if we adopt the modified Maximal Abelian gauge which is an orthosymplectic $OSp(4|2)$ invariant renormalizable gauge proposed by the author to derive quark confinement. We compare the Maximal Abelian gauge with the conventional $OSp(4|2)$ invariant gauge proposed by Delbourgo-Jarvis and Baulieu-Thierry-Mieg. Finally, an implication to the Gribov problem is briefly mentioned. |
0710.3135 | Juan Mateos Guilarte | A. Alonso Izquierdo, W. Garcia Fuertes, M. de la Torre Mayado, J.
Mateos Guilarte | One-loop fluctuations of semi-local self-dual vortices | Latex file, 8 pages, Added References, version to appear in Journal
of Physics A, Special Issue QFEXT07 | J.Phys.A41:164050,2008 | 10.1088/1751-8113/41/16/164050 | null | hep-th | null | Mass shifts induced by one-loop fluctuations of semi-local self-dual vortices
are computed. The procedure is based on canonical quantization and heat kernel/
zeta function regularization methods. The issue of the survival of the
classical degeneracy in the semi-classical regime is explored.
| [
{
"created": "Tue, 16 Oct 2007 17:36:35 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Jan 2008 11:04:44 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Izquierdo",
"A. Alonso",
""
],
[
"Fuertes",
"W. Garcia",
""
],
[
"Mayado",
"M. de la Torre",
""
],
[
"Guilarte",
"J. Mateos",
""
]
] | Mass shifts induced by one-loop fluctuations of semi-local self-dual vortices are computed. The procedure is based on canonical quantization and heat kernel/ zeta function regularization methods. The issue of the survival of the classical degeneracy in the semi-classical regime is explored. |
1412.8131 | Mohammad R. Garousi | Mohammad R. Garousi | T-duality of O-plane action at order $ \alpha'^2$ | 12 pages, Latex file, no figure; v2:a typo corrected, it appears in
PLB | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use compatibility of O-plane action with nonlinear T-duality as a guiding
principle to find all NS-NS couplings in the O-plane action at order
$\alpha'^2$. We find that the dilaton couplings appear in the string frame only
via the transformation $\hat{R}_{\mu\nu}\rightarrow
\hat{R}_{\mu\nu}+\nabla_{\mu}\nabla_{\nu}\phi$.
| [
{
"created": "Sun, 28 Dec 2014 08:25:13 GMT",
"version": "v1"
},
{
"created": "Tue, 19 May 2015 04:18:17 GMT",
"version": "v2"
}
] | 2015-05-20 | [
[
"Garousi",
"Mohammad R.",
""
]
] | We use compatibility of O-plane action with nonlinear T-duality as a guiding principle to find all NS-NS couplings in the O-plane action at order $\alpha'^2$. We find that the dilaton couplings appear in the string frame only via the transformation $\hat{R}_{\mu\nu}\rightarrow \hat{R}_{\mu\nu}+\nabla_{\mu}\nabla_{\nu}\phi$. |
hep-th/9609035 | Jens Gladikowski | Jens Gladikowski and Meik Hellmund | Static solitons with non-zero Hopf number | 13 pages, RevTeX, 7 Postscript figures, minor changes have been made,
a reference has been corrected and a figure replaced | Phys.Rev. D56 (1997) 5194-5199 | 10.1103/PhysRevD.56.5194 | DTP 96-35 | hep-th | null | We investigate a generalized non-linear O(3) $\sigma$-model in three space
dimensions where the fields are maps $S^3 \mapsto S^2$. Such maps are
classified by a homotopy invariant called the Hopf number which takes integer
values. The model exhibits soliton solutions of closed vortex type which have a
lower topological bound on their energies. We explicitly compute the fields for
topological charge 1 and 2 and discuss their shapes and binding energies. The
effect of an additional potential term is considered and an approximation is
given for the spectrum of slowly rotating solitons.
| [
{
"created": "Tue, 3 Sep 1996 11:09:41 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Sep 1997 12:58:23 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Gladikowski",
"Jens",
""
],
[
"Hellmund",
"Meik",
""
]
] | We investigate a generalized non-linear O(3) $\sigma$-model in three space dimensions where the fields are maps $S^3 \mapsto S^2$. Such maps are classified by a homotopy invariant called the Hopf number which takes integer values. The model exhibits soliton solutions of closed vortex type which have a lower topological bound on their energies. We explicitly compute the fields for topological charge 1 and 2 and discuss their shapes and binding energies. The effect of an additional potential term is considered and an approximation is given for the spectrum of slowly rotating solitons. |
1005.4750 | Boris Zupnik | B.M. Zupnik | Three-dimensional N=4 supersymmetry in harmonic N=3 superspace | Latex file, 22 pages; v2 two references added | Theor.Math.Phys.165:1315-1334,2010; Teor.Mat.Fiz.165:97-118,2010 | 10.1007/s11232-010-0111-6 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the map of three-dimensional N=4 superfields to N=3 harmonic
superspace. The left and right representations of the N=4 superconformal group
are constructed on N=3 analytic superfields. These representations are
convenient for the description of N=4 superconformal couplings of the Abelian
gauge superfields with hypermultiplets. We analyze the N=4 invariance in the
non-Abelian N=3 Yang-Mills theory.
| [
{
"created": "Wed, 26 May 2010 07:49:04 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Jun 2010 11:26:33 GMT",
"version": "v2"
}
] | 2010-11-09 | [
[
"Zupnik",
"B. M.",
""
]
] | We consider the map of three-dimensional N=4 superfields to N=3 harmonic superspace. The left and right representations of the N=4 superconformal group are constructed on N=3 analytic superfields. These representations are convenient for the description of N=4 superconformal couplings of the Abelian gauge superfields with hypermultiplets. We analyze the N=4 invariance in the non-Abelian N=3 Yang-Mills theory. |
1205.1349 | Ali Imaanpur | Ali Imaanpur | New Compactifications of Eleven Dimensional Supergravity | 15 pages, revised sec. 4, included new CP^3 and S^7
compactifications, published version | Class. Quantum Grav. 30 (2013) 065021 | 10.1088/0264-9381/30/6/065021 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using canonical forms on S^7, viewed as an SU(2) bundle over S^4, we
introduce consistent ansatze for the 4-form field strength of
eleven-dimensional supergravity and rederive the known squashed, stretched, and
the Englert solutions. Further, by rewriting the metric of S^7 as a U(1) bundle
over CP^3, we present yet more general ansatze. As a result, we find a new
compactifying solution of the type AdS_5\times CP^3, where CP^3 is stretched
along its S^2 fiber. We also find a new solution of AdS_2\times H^2\times S^7
type in Euclidean space.
| [
{
"created": "Mon, 7 May 2012 11:39:22 GMT",
"version": "v1"
},
{
"created": "Tue, 22 May 2012 13:56:00 GMT",
"version": "v2"
},
{
"created": "Tue, 25 Sep 2012 17:00:19 GMT",
"version": "v3"
},
{
"created": "Sun, 3 Mar 2013 11:07:21 GMT",
"version": "v4"
}
] | 2015-06-05 | [
[
"Imaanpur",
"Ali",
""
]
] | Using canonical forms on S^7, viewed as an SU(2) bundle over S^4, we introduce consistent ansatze for the 4-form field strength of eleven-dimensional supergravity and rederive the known squashed, stretched, and the Englert solutions. Further, by rewriting the metric of S^7 as a U(1) bundle over CP^3, we present yet more general ansatze. As a result, we find a new compactifying solution of the type AdS_5\times CP^3, where CP^3 is stretched along its S^2 fiber. We also find a new solution of AdS_2\times H^2\times S^7 type in Euclidean space. |
1804.07386 | Paul-Konstantin Oehlmann | Markus Dierigl, Paul-Konstantin Oehlmann, Fabian Ruehle | Global tensor-matter transitions in F-theory | 68 pages, 10 figures, 5 tables, typos corrected, additional
references, published version | null | 10.1002/prop.201800037 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use F-theory to study gauge algebra preserving transitions of 6d
supergravity theories that are connected by superconformal points. While the
vector multiplets remain unchanged, the hyper- and tensor multiplet sectors are
modified. In 6d F-theory models, these transitions are realized by tuning the
intersection points of two curves, one of them carrying a non-Abelian gauge
algebra, to a (4,6,12) singularity, followed by a resolution in the base. The
six-dimensional supergravity anomaly constraints are strong enough to
completely fix the possible non-Abelian representations and to restrict the
Abelian charges in the hypermultiplet sector affected by the transition, as we
demonstrate for all Lie algebras and their representations. Furthermore, we
present several examples of such transitions in torically resolved fibrations.
In these smooth models, superconformal points lead to non-flat fibers which
correspond to non-toric K\"ahler deformations of the torus-fibered Calabi-Yau
3-fold geometry.
| [
{
"created": "Thu, 19 Apr 2018 21:48:43 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Jul 2018 21:29:55 GMT",
"version": "v2"
}
] | 2018-08-15 | [
[
"Dierigl",
"Markus",
""
],
[
"Oehlmann",
"Paul-Konstantin",
""
],
[
"Ruehle",
"Fabian",
""
]
] | We use F-theory to study gauge algebra preserving transitions of 6d supergravity theories that are connected by superconformal points. While the vector multiplets remain unchanged, the hyper- and tensor multiplet sectors are modified. In 6d F-theory models, these transitions are realized by tuning the intersection points of two curves, one of them carrying a non-Abelian gauge algebra, to a (4,6,12) singularity, followed by a resolution in the base. The six-dimensional supergravity anomaly constraints are strong enough to completely fix the possible non-Abelian representations and to restrict the Abelian charges in the hypermultiplet sector affected by the transition, as we demonstrate for all Lie algebras and their representations. Furthermore, we present several examples of such transitions in torically resolved fibrations. In these smooth models, superconformal points lead to non-flat fibers which correspond to non-toric K\"ahler deformations of the torus-fibered Calabi-Yau 3-fold geometry. |
1905.08823 | Erik Plauschinn | Philip Betzler, Erik Plauschinn | Type IIB flux vacua and tadpole cancellation | 59 pages, 10 figures | null | 10.1002/prop.201900065 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider flux vacua for type IIB orientifold compactifications and study
their interplay with the tadpole-cancellation condition. As a concrete example
we focus on $\mathbb T^6/\mathbb Z_2\times \mathbb Z_2$, for which we find that
solutions to the F-term equations at weak coupling, large complex structure and
large volume require large flux contributions. Such contributions are however
strongly disfavored by the tadpole-cancellation condition. We furthermore find
that solutions which stabilize moduli in this perturbatively-controlled regime
are only a very small fraction of all solutions, and that the space of
solutions is not homogenous but shows characteristic void structures and vacua
concentrated on submanifolds.
| [
{
"created": "Tue, 21 May 2019 18:08:20 GMT",
"version": "v1"
}
] | 2020-01-08 | [
[
"Betzler",
"Philip",
""
],
[
"Plauschinn",
"Erik",
""
]
] | We consider flux vacua for type IIB orientifold compactifications and study their interplay with the tadpole-cancellation condition. As a concrete example we focus on $\mathbb T^6/\mathbb Z_2\times \mathbb Z_2$, for which we find that solutions to the F-term equations at weak coupling, large complex structure and large volume require large flux contributions. Such contributions are however strongly disfavored by the tadpole-cancellation condition. We furthermore find that solutions which stabilize moduli in this perturbatively-controlled regime are only a very small fraction of all solutions, and that the space of solutions is not homogenous but shows characteristic void structures and vacua concentrated on submanifolds. |
hep-th/9705231 | Petr Jizba | Petr Jizba (U. Cambridge) | Heat Bath Particle Number Spectrum | 29 pages, LaTeX; 14 figures | Phys. Rev. D 57, 3634 (1998) | 10.1103/PhysRevD.57.3634 | null | hep-th hep-ph | null | We calculate the number spectrum of particles radiated during a scattering
into a heat bath using the thermal largest-time equation and the
Dyson-Schwinger equation. We show how one can systematically calculate
{d<N(\omega)>}/{d\omega} to any order using modified real time
finite-temperature diagrams. Our approach is demonstrated on a simple model
where two scalar particles scatter, within a photon-electron heat bath, into a
pair of charged particles and it is shown how to calculate the resulting
changes in the number spectra of the photons and electrons.
| [
{
"created": "Thu, 29 May 1997 15:47:16 GMT",
"version": "v1"
},
{
"created": "Fri, 30 May 1997 15:26:35 GMT",
"version": "v2"
}
] | 2016-08-25 | [
[
"Jizba",
"Petr",
"",
"U. Cambridge"
]
] | We calculate the number spectrum of particles radiated during a scattering into a heat bath using the thermal largest-time equation and the Dyson-Schwinger equation. We show how one can systematically calculate {d<N(\omega)>}/{d\omega} to any order using modified real time finite-temperature diagrams. Our approach is demonstrated on a simple model where two scalar particles scatter, within a photon-electron heat bath, into a pair of charged particles and it is shown how to calculate the resulting changes in the number spectra of the photons and electrons. |
1310.6857 | Cosimo Restuccia | Cosimo Restuccia | Limit theories and continuous orbifolds | PhD Thesis of the author, 169 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Relativistic QFTs are in general defined by a collection of effective
actions, describing the dynamics of quantum fields at different energy scales.
The consequent natural idea of a space of theories is still a rather imprecise
notion, since a detailed knowledge or a classification of QFTs is out of reach.
In two dimensions the situation is in a better shape: in this context CFTs are
under control in many instances, and we know sequences of rational theories
emerging as end-points of RG flows. The present thesis explores the behaviour
of sequences of rational two-dimensional CFTs when the central charge
approaches its supremum. After a review of various notions useful to study
limit theories, like the concept of averaged fields and the construction of
continuous orbifolds, we analyse in detail the limit of sequences of N=2
supersymmetric CFTs that are connected by RG flows. The limit is not unique,
since with extended Virasoro symmetry one can choose different scalings for the
labels of the spectrum in the limit. We construct explicitly two c=3 CFTs
emerging as the large level limit of minimal models, and we identify both of
them: one is the N=2 CFT of two uncompactified free real bosons and two free
real fermions, the other is its continuous orbifold by U(1). We compare
spectrum, torus partition function, correlators and boundary conditions. The
neatest interpretation of this result is given by studying the realisation of
N=2 minimal models as gauged WZW models: taking the two different limits
amounts to zooming into two different regions of the target-space geometry. At
the end we speculate about possible extensions and generalisations.
| [
{
"created": "Fri, 25 Oct 2013 09:21:56 GMT",
"version": "v1"
}
] | 2013-10-28 | [
[
"Restuccia",
"Cosimo",
""
]
] | Relativistic QFTs are in general defined by a collection of effective actions, describing the dynamics of quantum fields at different energy scales. The consequent natural idea of a space of theories is still a rather imprecise notion, since a detailed knowledge or a classification of QFTs is out of reach. In two dimensions the situation is in a better shape: in this context CFTs are under control in many instances, and we know sequences of rational theories emerging as end-points of RG flows. The present thesis explores the behaviour of sequences of rational two-dimensional CFTs when the central charge approaches its supremum. After a review of various notions useful to study limit theories, like the concept of averaged fields and the construction of continuous orbifolds, we analyse in detail the limit of sequences of N=2 supersymmetric CFTs that are connected by RG flows. The limit is not unique, since with extended Virasoro symmetry one can choose different scalings for the labels of the spectrum in the limit. We construct explicitly two c=3 CFTs emerging as the large level limit of minimal models, and we identify both of them: one is the N=2 CFT of two uncompactified free real bosons and two free real fermions, the other is its continuous orbifold by U(1). We compare spectrum, torus partition function, correlators and boundary conditions. The neatest interpretation of this result is given by studying the realisation of N=2 minimal models as gauged WZW models: taking the two different limits amounts to zooming into two different regions of the target-space geometry. At the end we speculate about possible extensions and generalisations. |
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