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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1207.0461 | Manavendra Mahato | Manavendra Mahato | Chiral vortices in relativistic hydrodynamics | 1+19 pages, 3 figures. Some comments and references added in the
replaced version. Few calculations improved | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Towards modelling the charge asymmetry observed in heavy ion collisions, we
present here analytic solutions of relativistic hydrodynamics containing parity
violating and anomalous terms at the first order in the hydrodynamic
approximation. These terms can induce chiral magnetic and chiral vortical
effect leading to the generation of the charge asymmetry. We also consider
sphaleron solutions with non trivial winding number to model the phenomenon. We
calculate the net chiral charge difference produced in our solutions. We
anticipate their relevance also in the context of baryogenesis in early
universe, neutron star and some condensed matter situations.
| [
{
"created": "Mon, 2 Jul 2012 18:15:33 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Jul 2012 12:54:30 GMT",
"version": "v2"
},
{
"created": "Thu, 20 Sep 2012 06:58:10 GMT",
"version": "v3"
}
] | 2012-09-21 | [
[
"Mahato",
"Manavendra",
""
]
] | Towards modelling the charge asymmetry observed in heavy ion collisions, we present here analytic solutions of relativistic hydrodynamics containing parity violating and anomalous terms at the first order in the hydrodynamic approximation. These terms can induce chiral magnetic and chiral vortical effect leading to the generation of the charge asymmetry. We also consider sphaleron solutions with non trivial winding number to model the phenomenon. We calculate the net chiral charge difference produced in our solutions. We anticipate their relevance also in the context of baryogenesis in early universe, neutron star and some condensed matter situations. |
hep-th/0305038 | Patrick Desrosiers | Patrick Desrosiers, Luc Lapointe, Pierre Mathieu | Generalized Hermite polynomials in superspace as eigenfunctions of the
supersymmetric rational CMS model | Latex 2e, shortened version, one reference added, 18 pages | Nucl.Phys. B674 (2003) 615-633 | 10.1016/j.nuclphysb.2003.08.003 | null | hep-th math-ph math.MP math.QA nlin.SI | null | We present an algebraic construction of the orthogonal eigenfunctions of the
supersymmetric extension of the rational Calogero-Moser-Sutherland model with
harmonic confinement. These eigenfunctions are the superspace extension of the
generalized Hermite (or Hi-Jack) polynomials. The conserved quantities of the
rational supersymmetric model are related to their trigonometric relatives
through a similarity transformation. This leads to a simple expression between
the corresponding eigenfunctions: the generalized Hermite superpolynomials are
written as a differential operator acting on the corresponding Jack
superpolynomials. As an aside, the maximal superintegrability of the
supersymmetric rational Calogero-Moser-Sutherland model is demonstrated.
| [
{
"created": "Mon, 5 May 2003 17:27:25 GMT",
"version": "v1"
},
{
"created": "Sat, 6 Sep 2003 13:51:33 GMT",
"version": "v2"
}
] | 2015-06-26 | [
[
"Desrosiers",
"Patrick",
""
],
[
"Lapointe",
"Luc",
""
],
[
"Mathieu",
"Pierre",
""
]
] | We present an algebraic construction of the orthogonal eigenfunctions of the supersymmetric extension of the rational Calogero-Moser-Sutherland model with harmonic confinement. These eigenfunctions are the superspace extension of the generalized Hermite (or Hi-Jack) polynomials. The conserved quantities of the rational supersymmetric model are related to their trigonometric relatives through a similarity transformation. This leads to a simple expression between the corresponding eigenfunctions: the generalized Hermite superpolynomials are written as a differential operator acting on the corresponding Jack superpolynomials. As an aside, the maximal superintegrability of the supersymmetric rational Calogero-Moser-Sutherland model is demonstrated. |
2405.03128 | Marcela C\'ardenas | Marcela C\'ardenas | KdV conformal symmetry breaking in nearly AdS$_{2}$ | 28 pages | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the gauge theory formulation of Jackiw-Teitelboim gravity and
propose Korteweg-de Vries asymptotic conditions that generalize the asymptotic
dynamics of the theory. They permit to construct an enlarged set of boundary
actions formed by higher order generalizations of the Schwarzian derivative
that contain the Schwarzian as lower term in a tower of SL$(2,\mathbb{R})$
invariants. They are extracted from the KdV Hamiltonians and can be obtained
recursively. As a result, the conformal symmetry breaking observed in nearly
AdS$_{2}$ is characterized by a much larger set of dynamical modes associated
to the stationary KdV hierarchy. We study quantum perturbation theory for the
generalized Schwarzian action including the symplectic measure and compute the
one-loop correction to the partition function. We find that that despite the
non-linear nature of the higher-Schwarzian contribution, it acquires a
manageable expression that renders a curious leading temperature dependence on
the entropy $S=\#T^{a}$ for $a$ an odd integer.
| [
{
"created": "Mon, 6 May 2024 02:46:52 GMT",
"version": "v1"
}
] | 2024-05-07 | [
[
"Cárdenas",
"Marcela",
""
]
] | We study the gauge theory formulation of Jackiw-Teitelboim gravity and propose Korteweg-de Vries asymptotic conditions that generalize the asymptotic dynamics of the theory. They permit to construct an enlarged set of boundary actions formed by higher order generalizations of the Schwarzian derivative that contain the Schwarzian as lower term in a tower of SL$(2,\mathbb{R})$ invariants. They are extracted from the KdV Hamiltonians and can be obtained recursively. As a result, the conformal symmetry breaking observed in nearly AdS$_{2}$ is characterized by a much larger set of dynamical modes associated to the stationary KdV hierarchy. We study quantum perturbation theory for the generalized Schwarzian action including the symplectic measure and compute the one-loop correction to the partition function. We find that that despite the non-linear nature of the higher-Schwarzian contribution, it acquires a manageable expression that renders a curious leading temperature dependence on the entropy $S=\#T^{a}$ for $a$ an odd integer. |
0805.0453 | Yidun Wan | Song He, Yidun Wan | Conserved Quantities and the Algebra of Braid Excitations in Quantum
Gravity | 26 pages, discussion expanded, accepted by Nucl. Phys. B | Nucl.Phys.B804:286-306,2008 | 10.1016/j.nuclphysb.2008.06.021 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive conservation laws from interactions of braid-like excitations of
embedded framed spin networks in Quantum Gravity. We also demonstrate that the
set of stable braid-like excitations form a noncommutative algebra under braid
interaction, in which the set of actively-interacting braids is a subalgebra.
| [
{
"created": "Mon, 5 May 2008 02:34:05 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Jun 2008 12:50:49 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"He",
"Song",
""
],
[
"Wan",
"Yidun",
""
]
] | We derive conservation laws from interactions of braid-like excitations of embedded framed spin networks in Quantum Gravity. We also demonstrate that the set of stable braid-like excitations form a noncommutative algebra under braid interaction, in which the set of actively-interacting braids is a subalgebra. |
hep-th/0607036 | Saharian | E.R. Bezerra de Mello, A.A. Saharian | Vacuum polarization by a global monopole with finite core | 22 pages, 4 figures, misprint is corrected, discussion is added,
figures are changed | JHEP0610:049,2006 | 10.1088/1126-6708/2006/10/049 | null | hep-th gr-qc quant-ph | null | We investigate the effects of a $(D+1)$-dimensional global monopole core on
the behavior of a quantum massive scalar field with general curvature coupling
parameter. In the general case of the spherically symmetric static core,
formulae are derived for the Wightman function, for the vacuum expectation
values of the field square and the energy-momentum tensor in the exterior
region. These expectation values are presented as the sum of point-like global
monopole part and the core induced one. The asymptotic behavior of the core
induced vacuum densities is investigated at large distances from the core, near
the core and for small values of the solid angle corresponding to strong
gravitational fields. In particular, in the latter case we show that the
behavior of the vacuum densities is drastically different for minimally and
non-minimally coupled fields. As an application of general results the
flower-pot model for the monopole's core is considered and the expectation
values inside the core are evaluated.
| [
{
"created": "Thu, 6 Jul 2006 11:49:10 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Sep 2006 16:35:59 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"de Mello",
"E. R. Bezerra",
""
],
[
"Saharian",
"A. A.",
""
]
] | We investigate the effects of a $(D+1)$-dimensional global monopole core on the behavior of a quantum massive scalar field with general curvature coupling parameter. In the general case of the spherically symmetric static core, formulae are derived for the Wightman function, for the vacuum expectation values of the field square and the energy-momentum tensor in the exterior region. These expectation values are presented as the sum of point-like global monopole part and the core induced one. The asymptotic behavior of the core induced vacuum densities is investigated at large distances from the core, near the core and for small values of the solid angle corresponding to strong gravitational fields. In particular, in the latter case we show that the behavior of the vacuum densities is drastically different for minimally and non-minimally coupled fields. As an application of general results the flower-pot model for the monopole's core is considered and the expectation values inside the core are evaluated. |
hep-th/0411070 | Pedro Gonzalez-Diaz | Pedro F. Gonzalez-Diaz | Fundamental theories in a phantom universe | 7 pages, LaTex, some references and comments are added | null | null | IMAFF-RCA-04-13 | hep-th | null | Starting with the holographic dark energy model of Li it is shown that the
holographic screen at the future event horizon is sent toward infinity in the
phantom energy case, so allowing for the existence of unique fundamental
theories which are mathematically consistent in phantom cosmologies.
| [
{
"created": "Fri, 5 Nov 2004 15:50:46 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Nov 2004 16:55:58 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Gonzalez-Diaz",
"Pedro F.",
""
]
] | Starting with the holographic dark energy model of Li it is shown that the holographic screen at the future event horizon is sent toward infinity in the phantom energy case, so allowing for the existence of unique fundamental theories which are mathematically consistent in phantom cosmologies. |
1509.01195 | Jean-Pierre Derendinger | Jean-Pierre Derendinger | On supergravity theories, after ~40 years | Proc. of DISCRETE 2014, King's College, London, December 2014. 31
pages | J. Phys. Conf. Ser. 631 (2015) 1, 012009 | 10.1088/1742-6596/631/1/012009 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An introduction to and a partial review of supergravity theories is given,
insisting on concepts and on some important technical aspects. Topics covered
include elements of global supersymmetry, a derivation of the simplest N=1
supergravity theory, a discussion of N=1 matter-supergravity couplings, of the
scalar sector and of some simple models. Space-time is four-dimensional.
| [
{
"created": "Thu, 3 Sep 2015 18:18:04 GMT",
"version": "v1"
}
] | 2015-09-04 | [
[
"Derendinger",
"Jean-Pierre",
""
]
] | An introduction to and a partial review of supergravity theories is given, insisting on concepts and on some important technical aspects. Topics covered include elements of global supersymmetry, a derivation of the simplest N=1 supergravity theory, a discussion of N=1 matter-supergravity couplings, of the scalar sector and of some simple models. Space-time is four-dimensional. |
2206.09935 | Diego Rodriguez-Gomez | D. Rodriguez-Gomez, J. G. Russo | Wilson loops in Large Symmetric Representations through a Double-Scaling
Limit | 25 pages, no figures | null | 10.1007/JHEP08(2022)253 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We derive exact formulas for circular Wilson loops in the $\mathcal{N}=4$ and
$\mathcal{N}=2^{* }$ theories with gauge groups $U(N)$ and $SU(N)$ in the
$k$-fold symmetrized product representation. The formulas apply in the limit of
large $k$ and small Yang-Mills coupling $g$, with fixed effective coupling
$\kappa\equiv g^2k$, and for any finite $N$. In the $SU(2)$ and $U(2)$ cases,
closed analytic formulas are obtained for any $k$, while the $1/k$ series
expansions are asymptotic. In the $N\gg 1$ limit, with $N\ll k$, there is an
overlapping regime where the formulas can be confronted with results from
holography. Simple formulas for correlation functions between the $k$-symmetric
Wilson loops and chiral primary operators are also given.
| [
{
"created": "Mon, 20 Jun 2022 18:00:12 GMT",
"version": "v1"
}
] | 2022-09-14 | [
[
"Rodriguez-Gomez",
"D.",
""
],
[
"Russo",
"J. G.",
""
]
] | We derive exact formulas for circular Wilson loops in the $\mathcal{N}=4$ and $\mathcal{N}=2^{* }$ theories with gauge groups $U(N)$ and $SU(N)$ in the $k$-fold symmetrized product representation. The formulas apply in the limit of large $k$ and small Yang-Mills coupling $g$, with fixed effective coupling $\kappa\equiv g^2k$, and for any finite $N$. In the $SU(2)$ and $U(2)$ cases, closed analytic formulas are obtained for any $k$, while the $1/k$ series expansions are asymptotic. In the $N\gg 1$ limit, with $N\ll k$, there is an overlapping regime where the formulas can be confronted with results from holography. Simple formulas for correlation functions between the $k$-symmetric Wilson loops and chiral primary operators are also given. |
2103.01485 | Zhi-Hong Li | Zhi-Hong Li, Chuan-Yin Xia, Hua-Bi Zeng, Hai-Qing Zhang | Holographic topological defects and local gauge symmetry: clusters of
strongly coupled equal-sign vortices | 8 pages, 5+2 figures; Context improved, typos corrected | JHEP10(2021)124 | 10.1007/JHEP10(2021)124 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Gauge invariance plays an important role in forming topological defects. In
this work, from the AdS/CFT correspondence, we realize the clusters of
equal-sign vortices during the course of critical dynamics of a strongly
coupled superconductor. This is the first time to achieve the equal-sign vortex
clusters in strongly coupled systems, considering that vortices with equal sign
repel. The appearance of clusters of equal-sign vortices is a typical character
of flux trapping mechanism, distinct from Kibble-Zurek mechanism which merely
presents vortex-antivortex pair distributions resulting from global symmetry
breaking. Numerical results of spatial correlations and net fluxes of the
equal-sign vortex clusters quantitatively support the positive correlations
between vortices. The linear dependence between the vortex number and the
amplitude of magnetic field at the `trapping' time demonstrates the flux
trapping mechanism very well.
| [
{
"created": "Tue, 2 Mar 2021 05:50:07 GMT",
"version": "v1"
},
{
"created": "Sun, 21 Mar 2021 03:44:07 GMT",
"version": "v2"
},
{
"created": "Thu, 15 Apr 2021 02:37:43 GMT",
"version": "v3"
},
{
"created": "Tue, 19 Oct 2021 02:05:53 GMT",
"version": "v4"
}
] | 2021-10-28 | [
[
"Li",
"Zhi-Hong",
""
],
[
"Xia",
"Chuan-Yin",
""
],
[
"Zeng",
"Hua-Bi",
""
],
[
"Zhang",
"Hai-Qing",
""
]
] | Gauge invariance plays an important role in forming topological defects. In this work, from the AdS/CFT correspondence, we realize the clusters of equal-sign vortices during the course of critical dynamics of a strongly coupled superconductor. This is the first time to achieve the equal-sign vortex clusters in strongly coupled systems, considering that vortices with equal sign repel. The appearance of clusters of equal-sign vortices is a typical character of flux trapping mechanism, distinct from Kibble-Zurek mechanism which merely presents vortex-antivortex pair distributions resulting from global symmetry breaking. Numerical results of spatial correlations and net fluxes of the equal-sign vortex clusters quantitatively support the positive correlations between vortices. The linear dependence between the vortex number and the amplitude of magnetic field at the `trapping' time demonstrates the flux trapping mechanism very well. |
hep-th/0111041 | Liu Zhao | Wenli He, Liu Zhao | The origin of noncommutativity? | Revtex4, published version | Phys.Lett. B532 (2002) 345-349 | 10.1016/S0370-2693(02)01567-8 | null | hep-th | null | Consistent boundary Poisson structures for open string theory coupled to
background $B$-field are considered using the new approach proposed in
hep-th/0111005. It is found that there are infinitely many consistent Poisson
structures, each leads to a consistent canonical quantization of open string in
the presence of background $B$-field. Consequently, whether the $D$-branes to
which the open string end points are attached is noncommutative or not depends
on the choice of a particular Poisson structure.
| [
{
"created": "Tue, 6 Nov 2001 01:56:36 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Nov 2001 02:26:01 GMT",
"version": "v2"
},
{
"created": "Thu, 5 Sep 2002 02:26:25 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"He",
"Wenli",
""
],
[
"Zhao",
"Liu",
""
]
] | Consistent boundary Poisson structures for open string theory coupled to background $B$-field are considered using the new approach proposed in hep-th/0111005. It is found that there are infinitely many consistent Poisson structures, each leads to a consistent canonical quantization of open string in the presence of background $B$-field. Consequently, whether the $D$-branes to which the open string end points are attached is noncommutative or not depends on the choice of a particular Poisson structure. |
hep-th/9411099 | null | J.G. Russo and A.A. Tseytlin | Constant magnetic field in closed string theory: an exactly solvable
model | 39 pages, harvmac (some corrections and addenda; version to appear in
Nuclear Physics) | Nucl.Phys.B448:293-330,1995 | 10.1016/0550-3213(95)00091-6 | CERN-TH/95-20, Imperial/TP/94-95/17 | hep-th | null | We consider a simple model describing a closed bosonic string in a constant
magnetic field. Exact conformal invariance demands also the presence of a
non-trivial metric and antisymmetric tensor (induced by the magnetic field).
The model is invariant under target space duality in a compact Kaluza-Klein
direction introduced to couple the magnetic field. Like open string theory in a
constant gauge field, or closed string theory on a torus, this model can be
straightforwardly quantized and solved with its spectrum of states and
partition function explicitly computed. Above some critical value of the
magnetic field an infinite number of states become tachyonic, suggesting a
presence of phase transition. We also construct heterotic string
generalisations of this bosonic model in which the constant magnetic field is
embedded either in the Kaluza-Klein or internal gauge group sector.
| [
{
"created": "Mon, 14 Nov 1994 20:54:47 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Dec 1994 21:46:05 GMT",
"version": "v2"
},
{
"created": "Tue, 11 Apr 1995 18:18:56 GMT",
"version": "v3"
}
] | 2009-09-17 | [
[
"Russo",
"J. G.",
""
],
[
"Tseytlin",
"A. A.",
""
]
] | We consider a simple model describing a closed bosonic string in a constant magnetic field. Exact conformal invariance demands also the presence of a non-trivial metric and antisymmetric tensor (induced by the magnetic field). The model is invariant under target space duality in a compact Kaluza-Klein direction introduced to couple the magnetic field. Like open string theory in a constant gauge field, or closed string theory on a torus, this model can be straightforwardly quantized and solved with its spectrum of states and partition function explicitly computed. Above some critical value of the magnetic field an infinite number of states become tachyonic, suggesting a presence of phase transition. We also construct heterotic string generalisations of this bosonic model in which the constant magnetic field is embedded either in the Kaluza-Klein or internal gauge group sector. |
1803.08282 | Roldao da Rocha | A. Yanes, R. da Rocha | Additional fermionic fields onto parallelizable 7-spheres | 16 pages | Prog. Theor. Exp. Phys. 063B09 (2018) | 10.1093/ptep/pty068 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The geometric Fierz identities are here employed to generate new emergent
fermionic fields on the parallelizable (curvatureless, torsionfull) 7-sphere
($S^7$). Employing recently found new classes of spinor fields on the $S^7$
spin bundle, new classes of fermionic fields are obtained from their bilinear
covariants by a generalized reconstruction theorem, on the parallelizable
$S^7$. Using a generalized non-associative product on the octonionic bundle on
the parallelizable $S^7$, these new classes of algebraic spinor fields, lifted
onto the parallelizable $S^7$, are shown to correctly transform under the
Moufang loop generators on $S^7$.
| [
{
"created": "Thu, 22 Mar 2018 09:27:39 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Jul 2018 17:03:25 GMT",
"version": "v2"
},
{
"created": "Tue, 16 Feb 2021 00:53:55 GMT",
"version": "v3"
}
] | 2021-02-17 | [
[
"Yanes",
"A.",
""
],
[
"da Rocha",
"R.",
""
]
] | The geometric Fierz identities are here employed to generate new emergent fermionic fields on the parallelizable (curvatureless, torsionfull) 7-sphere ($S^7$). Employing recently found new classes of spinor fields on the $S^7$ spin bundle, new classes of fermionic fields are obtained from their bilinear covariants by a generalized reconstruction theorem, on the parallelizable $S^7$. Using a generalized non-associative product on the octonionic bundle on the parallelizable $S^7$, these new classes of algebraic spinor fields, lifted onto the parallelizable $S^7$, are shown to correctly transform under the Moufang loop generators on $S^7$. |
1810.11425 | Niccol\`o Cribiori | Niccol\`o Cribiori and Stefano Lanza | On the dynamical origin of parameters in $\mathcal{N}=2$ Supersymmetry | 44 pages; v2: typos corrected, published version | Eur. Phys. J. C (2019) 79:32 | 10.1140/epjc/s10052-019-6545-6 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We formulate $\mathcal{N}=2$ global supersymmetric Lagrangians of
self-interacting vector multiplets in terms of variant multiplets, whose
non-propagating fields are replaced with gauge three-forms. Setting the
three-forms on-shell results in a dynamical generation of the parameters
entering the scalar potential. As an application, we study how gauge
three-forms may determine the partial breaking of $\mathcal{N}=2$ supersymmetry
and how they affect the low energy effective description.
| [
{
"created": "Fri, 26 Oct 2018 17:16:57 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Jan 2019 15:54:25 GMT",
"version": "v2"
}
] | 2019-01-18 | [
[
"Cribiori",
"Niccolò",
""
],
[
"Lanza",
"Stefano",
""
]
] | We formulate $\mathcal{N}=2$ global supersymmetric Lagrangians of self-interacting vector multiplets in terms of variant multiplets, whose non-propagating fields are replaced with gauge three-forms. Setting the three-forms on-shell results in a dynamical generation of the parameters entering the scalar potential. As an application, we study how gauge three-forms may determine the partial breaking of $\mathcal{N}=2$ supersymmetry and how they affect the low energy effective description. |
hep-th/0404193 | Dan Solomon | Dan Solomon | The stability of the QED vacuum in the temporal gauge | 16 pages, minor changes to correct typographical errors | Apeiron 13 (2006) 240 | null | null | hep-th quant-ph | null | The stability of the vacuum for QED in the temporal gauge will be examined.
It is generally assumed that the vacuum state is the quantum state with the
lowest energy. However, it will be shown that this is not the case for a system
consisting of a fermion field coupled to a quantized electromagnetic field in
the temporal gauge. It will be shown that for this situation there exist
quantum states with less energy than the vacuum state.
| [
{
"created": "Fri, 23 Apr 2004 21:10:22 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Aug 2004 16:29:48 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Solomon",
"Dan",
""
]
] | The stability of the vacuum for QED in the temporal gauge will be examined. It is generally assumed that the vacuum state is the quantum state with the lowest energy. However, it will be shown that this is not the case for a system consisting of a fermion field coupled to a quantized electromagnetic field in the temporal gauge. It will be shown that for this situation there exist quantum states with less energy than the vacuum state. |
1305.2000 | ZhongYing Fan | ZhongYing Fan | Holographic superconductors with hyperscaling violation | 12pages and 3 figures | null | 10.1007/JHEP09(2013)048 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate holographic superconductors in asympototically geometries with
hyperscaling violation. The mass of the scalar field decouples from the UV
dimension of the dual scalar operator and can be chosen as negative as we want,
without disturbing the Breitenlohner-Freedman bound. We first numerically find
that the scalar condenses below a critical temperature and a gap opens in the
real part of the conductivity, indicating the onset of superconductivity. We
further analytically explore the effects of the hyperscaling violation on the
superconducting transition temperature. We find that the critical temperature
increases with the increasing of hyperscaling violation.
| [
{
"created": "Thu, 9 May 2013 03:23:47 GMT",
"version": "v1"
},
{
"created": "Sun, 12 May 2013 10:49:35 GMT",
"version": "v2"
},
{
"created": "Fri, 17 May 2013 10:49:52 GMT",
"version": "v3"
},
{
"created": "Wed, 22 May 2013 11:56:25 GMT",
"version": "v4"
},
{
"cr... | 2015-06-15 | [
[
"Fan",
"ZhongYing",
""
]
] | We investigate holographic superconductors in asympototically geometries with hyperscaling violation. The mass of the scalar field decouples from the UV dimension of the dual scalar operator and can be chosen as negative as we want, without disturbing the Breitenlohner-Freedman bound. We first numerically find that the scalar condenses below a critical temperature and a gap opens in the real part of the conductivity, indicating the onset of superconductivity. We further analytically explore the effects of the hyperscaling violation on the superconducting transition temperature. We find that the critical temperature increases with the increasing of hyperscaling violation. |
2306.00099 | Jani Kastikainen | Jan de Boer, Victor Godet, Jani Kastikainen, Esko Keski-Vakkuri | Quantum information geometry of driven CFTs | 89 pages including references, 14 figures. Changes in V2: layout
improvements and additional references. Matches published version | JHEP 09 (2023) 087 | 10.1007/JHEP09(2023)087 | null | hep-th cond-mat.stat-mech quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Driven quantum systems exhibit a large variety of interesting and sometimes
exotic phenomena. Of particular interest are driven conformal field theories
(CFTs) which describe quantum many-body systems at criticality. In this paper,
we develop both a spacetime and a quantum information geometry perspective on
driven 2d CFTs. We show that for a large class of driving protocols the
theories admit an alternative but equivalent formulation in terms of a CFT
defined on a spacetime with a time-dependent metric. We prove this equivalence
both in the operator formulation as well as in the path integral description of
the theory. A complementary quantum information geometric perspective for
driven 2d CFTs employs the so-called Bogoliubov-Kubo-Mori (BKM) metric, which
is the counterpart of the Fisher metric of classical information theory, and
which is obtained from a perturbative expansion of relative entropy. We compute
the BKM metric for the universal sector of Virasoro excitations of a thermal
state, which captures a large class of driving protocols, and find it to be a
useful tool to classify and characterize different types of driving. For
M\"obius driving by the SL(2,R) subgroup, the BKM metric becomes the hyperbolic
metric on the unit disk. We show how the non-trivial dynamics of Floquet driven
CFTs is encoded in the BKM geometry via M\"obius transformations. This allows
us to identify ergodic and non-ergodic regimes in the driving. We also explain
how holographic driven CFTs are dual to driven BTZ black holes with evolving
horizons. The deformation of the black hole horizon towards and away from the
asymptotic boundary provides a holographic understanding of heating and cooling
in Floquet CFTs.
| [
{
"created": "Wed, 31 May 2023 18:18:28 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Sep 2023 08:23:55 GMT",
"version": "v2"
}
] | 2023-09-21 | [
[
"de Boer",
"Jan",
""
],
[
"Godet",
"Victor",
""
],
[
"Kastikainen",
"Jani",
""
],
[
"Keski-Vakkuri",
"Esko",
""
]
] | Driven quantum systems exhibit a large variety of interesting and sometimes exotic phenomena. Of particular interest are driven conformal field theories (CFTs) which describe quantum many-body systems at criticality. In this paper, we develop both a spacetime and a quantum information geometry perspective on driven 2d CFTs. We show that for a large class of driving protocols the theories admit an alternative but equivalent formulation in terms of a CFT defined on a spacetime with a time-dependent metric. We prove this equivalence both in the operator formulation as well as in the path integral description of the theory. A complementary quantum information geometric perspective for driven 2d CFTs employs the so-called Bogoliubov-Kubo-Mori (BKM) metric, which is the counterpart of the Fisher metric of classical information theory, and which is obtained from a perturbative expansion of relative entropy. We compute the BKM metric for the universal sector of Virasoro excitations of a thermal state, which captures a large class of driving protocols, and find it to be a useful tool to classify and characterize different types of driving. For M\"obius driving by the SL(2,R) subgroup, the BKM metric becomes the hyperbolic metric on the unit disk. We show how the non-trivial dynamics of Floquet driven CFTs is encoded in the BKM geometry via M\"obius transformations. This allows us to identify ergodic and non-ergodic regimes in the driving. We also explain how holographic driven CFTs are dual to driven BTZ black holes with evolving horizons. The deformation of the black hole horizon towards and away from the asymptotic boundary provides a holographic understanding of heating and cooling in Floquet CFTs. |
1211.2589 | Changhyun Ahn | Changhyun Ahn | Higher Spin Currents in the N=1 Stringy Coset Minimal Model | 64 pages; Section 4 improved and to appear in JHEP | null | 10.1007/JHEP04(2013)033 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This study reconsidered the N=1 supersymmetric extension of the W_3 algebra
which was studied previously. This extension consists of seven higher spin
supercurrents (fourteen higher spin currents in the components) as well as the
N=1 stress energy tensor of spins (3/2, 2). Thus far, the complete expressions
for the higher spin currents have not been derived.
This paper constructs them explicitly in both the c=4 eight free fermion
model and the supersymmetric coset model based on (A_2^{(1)} \oplus A_2^{(1)},
A_2^{(1)})$ at level (3,k). By acting with the above spin-3/2 current on the
higher spin-3 Casimir current, its fermionic partner, the higher spin-5/2
current, can be generated and combined as a first higher spin supercurrent with
spins (5/2, 3). By calculating the operator product expansions (OPE) between
the higher spin supercurrent and itself, the next two higher spin supercurrents
can be generated with spins (7/2, 4) and (4, 9/2). Moreover, the other two
higher spin supercurrents with spins (4, 9/2) and (9/2, 5) can be generated by
calculating the OPE between the first higher spin supercurrent with spins (5/2,
3) and the second higher spin supercurrent with spins (7/2, 4). Finally, the
higher spin supercurrents, (11/2, 6) and (6, 13/2), can be extracted from the
right hand side of the OPE between the higher spin supercurrents, (5/2, 3) and
(4, 9/2).
| [
{
"created": "Mon, 12 Nov 2012 12:24:04 GMT",
"version": "v1"
},
{
"created": "Sun, 24 Mar 2013 08:23:21 GMT",
"version": "v2"
}
] | 2015-06-12 | [
[
"Ahn",
"Changhyun",
""
]
] | This study reconsidered the N=1 supersymmetric extension of the W_3 algebra which was studied previously. This extension consists of seven higher spin supercurrents (fourteen higher spin currents in the components) as well as the N=1 stress energy tensor of spins (3/2, 2). Thus far, the complete expressions for the higher spin currents have not been derived. This paper constructs them explicitly in both the c=4 eight free fermion model and the supersymmetric coset model based on (A_2^{(1)} \oplus A_2^{(1)}, A_2^{(1)})$ at level (3,k). By acting with the above spin-3/2 current on the higher spin-3 Casimir current, its fermionic partner, the higher spin-5/2 current, can be generated and combined as a first higher spin supercurrent with spins (5/2, 3). By calculating the operator product expansions (OPE) between the higher spin supercurrent and itself, the next two higher spin supercurrents can be generated with spins (7/2, 4) and (4, 9/2). Moreover, the other two higher spin supercurrents with spins (4, 9/2) and (9/2, 5) can be generated by calculating the OPE between the first higher spin supercurrent with spins (5/2, 3) and the second higher spin supercurrent with spins (7/2, 4). Finally, the higher spin supercurrents, (11/2, 6) and (6, 13/2), can be extracted from the right hand side of the OPE between the higher spin supercurrents, (5/2, 3) and (4, 9/2). |
2204.03406 | Orestis Loukas | Orestis Loukas, Ho Ryun Chung | Categorical Distributions of Maximum Entropy under Marginal Constraints | 20 pages, 5 figures, 1 Excel file | null | null | null | hep-th cond-mat.stat-mech stat.ML | http://creativecommons.org/licenses/by/4.0/ | The estimation of categorical distributions under marginal constraints
summarizing some sample from a population in the most-generalizable way is key
for many machine-learning and data-driven approaches. We provide a
parameter-agnostic theoretical framework that enables this task ensuring (i)
that a categorical distribution of Maximum Entropy under marginal constraints
always exists and (ii) that it is unique. The procedure of iterative
proportional fitting (IPF) naturally estimates that distribution from any
consistent set of marginal constraints directly in the space of probabilities,
thus deductively identifying a least-biased characterization of the population.
The theoretical framework together with IPF leads to a holistic workflow that
enables modeling any class of categorical distributions solely using the
phenomenological information provided.
| [
{
"created": "Thu, 7 Apr 2022 12:42:58 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Nov 2023 21:57:41 GMT",
"version": "v2"
}
] | 2023-11-17 | [
[
"Loukas",
"Orestis",
""
],
[
"Chung",
"Ho Ryun",
""
]
] | The estimation of categorical distributions under marginal constraints summarizing some sample from a population in the most-generalizable way is key for many machine-learning and data-driven approaches. We provide a parameter-agnostic theoretical framework that enables this task ensuring (i) that a categorical distribution of Maximum Entropy under marginal constraints always exists and (ii) that it is unique. The procedure of iterative proportional fitting (IPF) naturally estimates that distribution from any consistent set of marginal constraints directly in the space of probabilities, thus deductively identifying a least-biased characterization of the population. The theoretical framework together with IPF leads to a holistic workflow that enables modeling any class of categorical distributions solely using the phenomenological information provided. |
0808.2627 | Gabriel Cardoso | G. L. Cardoso, B. de Wit, S. Mahapatra | Subleading and non-holomorphic corrections to N=2 BPS black hole entropy | 45 pages, minor changes | JHEP 0902:006,2009 | 10.1088/1126-6708/2009/02/006 | LMU-ASC 45/08, ITP-UU-08/47, SPIN-08/37 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | BPS black hole degeneracies can be expressed in terms of an inverse Laplace
transform of a partition function based on a mixed electric/magnetic ensemble,
which involves a non-trivial integration measure. This measure has been
evaluated for black holes with various degrees of supersymmetry and for N=4
supersymmetric black holes all results agree. It generally receives
contributions from non-holomorphic corrections. An explicit evaluation of these
corrections in the context of the effective action of the FHSV model reveals
that these are related to, but quantitatively different from, the
non-holomorphic corrections to the topological string, indicating that the
relation between the twisted partition functions of the latter and the
effective action is more subtle than has so far been envisaged. The effective
action result leads to a duality invariant BPS free energy and arguments are
presented for the existence of consistent non-holomorphic deformations of
special geometry that can account for these effects. A prediction is given for
the measure based on semiclassical arguments for a class of N=2 black holes.
Furthermore an attempt is made to confront some of the results of this paper to
a recent proposal for the microstate degeneracies of the STU model.
| [
{
"created": "Tue, 19 Aug 2008 16:47:52 GMT",
"version": "v1"
},
{
"created": "Sun, 1 Feb 2009 21:24:43 GMT",
"version": "v2"
}
] | 2010-05-28 | [
[
"Cardoso",
"G. L.",
""
],
[
"de Wit",
"B.",
""
],
[
"Mahapatra",
"S.",
""
]
] | BPS black hole degeneracies can be expressed in terms of an inverse Laplace transform of a partition function based on a mixed electric/magnetic ensemble, which involves a non-trivial integration measure. This measure has been evaluated for black holes with various degrees of supersymmetry and for N=4 supersymmetric black holes all results agree. It generally receives contributions from non-holomorphic corrections. An explicit evaluation of these corrections in the context of the effective action of the FHSV model reveals that these are related to, but quantitatively different from, the non-holomorphic corrections to the topological string, indicating that the relation between the twisted partition functions of the latter and the effective action is more subtle than has so far been envisaged. The effective action result leads to a duality invariant BPS free energy and arguments are presented for the existence of consistent non-holomorphic deformations of special geometry that can account for these effects. A prediction is given for the measure based on semiclassical arguments for a class of N=2 black holes. Furthermore an attempt is made to confront some of the results of this paper to a recent proposal for the microstate degeneracies of the STU model. |
2007.12985 | Evgeny Ivanov | Evgeny Ivanov, Luca Mezincescu | Global Symmetries of Quaternion-K$\bf \ddot{a}$hler ${\cal N}=4$
Supersymmetric Mechanics | 0 + 27 pages, essential revision: sections renumbered, sect. 2
extended, sect. 3.2, a new affiliation, refs. [1], [3], [13], [16-18], [22]
and some clarifying comments added; published version | JHEP 2101 (2021) 081 | 10.1007/JHEP01(2021)081 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze the global symmetries of ${\cal N}=4$ supersymmetric mechanics
involving $4n$-dimensional Quaternion-K\"ahler (QK) $1D$ sigma models on
projective spaces $\mathbb{H}{\rm H}^n$ and $\mathbb{H}{\rm P}^n$ as the
bosonic core. All Noether charges associated with global worldline symmetries
are shown to vanish as a result of equations of motion, which implies that we
deal with a severely constrained hamiltonian system. The complete hamiltonian
analysis of the bosonic sector is performed.
| [
{
"created": "Sat, 25 Jul 2020 17:46:48 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Jan 2021 16:44:42 GMT",
"version": "v2"
}
] | 2021-02-03 | [
[
"Ivanov",
"Evgeny",
""
],
[
"Mezincescu",
"Luca",
""
]
] | We analyze the global symmetries of ${\cal N}=4$ supersymmetric mechanics involving $4n$-dimensional Quaternion-K\"ahler (QK) $1D$ sigma models on projective spaces $\mathbb{H}{\rm H}^n$ and $\mathbb{H}{\rm P}^n$ as the bosonic core. All Noether charges associated with global worldline symmetries are shown to vanish as a result of equations of motion, which implies that we deal with a severely constrained hamiltonian system. The complete hamiltonian analysis of the bosonic sector is performed. |
2311.16069 | Cristian Vergu | C. Vergu | Cutkosky representation and direct integration | null | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a new method of direct integration of Feynman integrals based on
the Cutkosky representation of the integrals. In this representation we are
able to explicitly compute the integrals which yield square root singularities
and leave only the integrals which yield logarithmic singularities, thus making
the transcendentality weight manifest. The method is elementary, algorithmic,
does not introduce spurious non-physical singularities and does not require a
reduction to a basis of pure integrals.
| [
{
"created": "Mon, 27 Nov 2023 18:40:54 GMT",
"version": "v1"
}
] | 2023-11-28 | [
[
"Vergu",
"C.",
""
]
] | We present a new method of direct integration of Feynman integrals based on the Cutkosky representation of the integrals. In this representation we are able to explicitly compute the integrals which yield square root singularities and leave only the integrals which yield logarithmic singularities, thus making the transcendentality weight manifest. The method is elementary, algorithmic, does not introduce spurious non-physical singularities and does not require a reduction to a basis of pure integrals. |
hep-th/0203027 | Matthias Schmidt | G. Rudolph, M. Schmidt and I.P. Volobuev | On the gauge orbit space stratification (a review) | 63 pages | J.Phys. A35 (2002) R1-5794 | 10.1088/0305-4470/35/28/201 | null | hep-th math-ph math.MP | null | First, we review the basic mathematical structures and results concerning the
gauge orbit space stratification. This includes general properties of the gauge
group action, fibre bundle structures induced by this action, basic properties
of the stratification and the natural Riemannian structures of the strata. In
the second part, we study the stratification for theories with gauge group
$\rmSU(n)$ in space time dimension 4. We develop a general method for
determining the orbit types and their partial ordering, based on the 1-1
correspondence between orbit types and holonomy-induced Howe subbundles of the
underlying principal $\rmSU(n)$-bundle. We show that the orbit types are
classified by certain cohomology elements of space time satisfying two
relations and that the partial ordering is characterized by a system of
algebraic equations. Moreover, operations for generating direct successors and
direct predecessors are formulated, which allow one to construct the set of
orbit types, starting from the principal one. Finally, we discuss an
application to nodal configurations in topological Chern-Simons theory.
| [
{
"created": "Mon, 4 Mar 2002 13:27:39 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Rudolph",
"G.",
""
],
[
"Schmidt",
"M.",
""
],
[
"Volobuev",
"I. P.",
""
]
] | First, we review the basic mathematical structures and results concerning the gauge orbit space stratification. This includes general properties of the gauge group action, fibre bundle structures induced by this action, basic properties of the stratification and the natural Riemannian structures of the strata. In the second part, we study the stratification for theories with gauge group $\rmSU(n)$ in space time dimension 4. We develop a general method for determining the orbit types and their partial ordering, based on the 1-1 correspondence between orbit types and holonomy-induced Howe subbundles of the underlying principal $\rmSU(n)$-bundle. We show that the orbit types are classified by certain cohomology elements of space time satisfying two relations and that the partial ordering is characterized by a system of algebraic equations. Moreover, operations for generating direct successors and direct predecessors are formulated, which allow one to construct the set of orbit types, starting from the principal one. Finally, we discuss an application to nodal configurations in topological Chern-Simons theory. |
1301.7352 | Sotaro Sugishita | Masafumi Fukuma, Yuho Sakatani, Sotaro Sugishita | Propagators in de Sitter space | 38 pages, 14 figures, v2: references added, discussion on the in-in
propagators improved, v3: typos corrected, v4: references added, discussions
improved, to appear in PRD | Phys. Rev. D 88, 024041 (2013) | 10.1103/PhysRevD.88.024041 | KUNS-2432, MISC-2013-01 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a spacetime with no global timelike Killing vector, we do not have a
natural choice for the vacuum state of matter fields, leading to an ambiguity
in defining the Feynman propagators. In this paper, taking the vacuum state to
be the instantaneous ground state of the Hamiltonian at each moment, we develop
a method for calculating wave functions associated with the vacuum and the
corresponding in-in and in-out propagators. We apply this method to free scalar
field theory in de Sitter space and obtain de Sitter invariant propagators in
various coordinate patches. We show that the in-out propagator in the Poincare
patch has a finite massless limit in a de Sitter invariant form. We argue and
numerically check that our in-out propagators agree with those obtained by a
path integral with the standard i\epsilon prescription, and identify the
condition on a foliation of spacetime under which such coincidence can happen
for the foliation. We also show that the in-out propagators satisfy Polyakov's
composition law. Several applications of our framework are also discussed.
| [
{
"created": "Wed, 30 Jan 2013 20:41:42 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Feb 2013 20:50:37 GMT",
"version": "v2"
},
{
"created": "Thu, 28 Feb 2013 07:05:55 GMT",
"version": "v3"
},
{
"created": "Mon, 8 Jul 2013 12:44:19 GMT",
"version": "v4"
}
] | 2013-07-24 | [
[
"Fukuma",
"Masafumi",
""
],
[
"Sakatani",
"Yuho",
""
],
[
"Sugishita",
"Sotaro",
""
]
] | In a spacetime with no global timelike Killing vector, we do not have a natural choice for the vacuum state of matter fields, leading to an ambiguity in defining the Feynman propagators. In this paper, taking the vacuum state to be the instantaneous ground state of the Hamiltonian at each moment, we develop a method for calculating wave functions associated with the vacuum and the corresponding in-in and in-out propagators. We apply this method to free scalar field theory in de Sitter space and obtain de Sitter invariant propagators in various coordinate patches. We show that the in-out propagator in the Poincare patch has a finite massless limit in a de Sitter invariant form. We argue and numerically check that our in-out propagators agree with those obtained by a path integral with the standard i\epsilon prescription, and identify the condition on a foliation of spacetime under which such coincidence can happen for the foliation. We also show that the in-out propagators satisfy Polyakov's composition law. Several applications of our framework are also discussed. |
hep-th/0310023 | Pieralberto Marchetti | Pieralberto Marchetti | Confinement-deconfinement order parameter and Dirac's quantization
condition | LaTeX file, 4 pages. Talk given at QCD 02 (Montpellier 2-9 july 2002) | Nucl.Phys.Proc.Suppl.121:312-315,2003 | 10.1016/S0920-5632(03)01868-1 | null | hep-th | null | We describe a monopole-like order parameter for the confinement-deconfinement
transition in gauge theories where dynamical charges and monopoles coexist. It
has been recently proposed in a collaboration with J. Froehlich. It avoids an
inconsistency in the treatment of small scales present in earlier definitions
of monopole fields by respecting Dirac's quantization condition for
electromagnetic fluxes. An application to SU(2) lattice Yang-Mills theory is
outlined, naturally fitting in the 't Hooft scenario for confinement.
| [
{
"created": "Thu, 2 Oct 2003 16:06:57 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Marchetti",
"Pieralberto",
""
]
] | We describe a monopole-like order parameter for the confinement-deconfinement transition in gauge theories where dynamical charges and monopoles coexist. It has been recently proposed in a collaboration with J. Froehlich. It avoids an inconsistency in the treatment of small scales present in earlier definitions of monopole fields by respecting Dirac's quantization condition for electromagnetic fluxes. An application to SU(2) lattice Yang-Mills theory is outlined, naturally fitting in the 't Hooft scenario for confinement. |
hep-th/0304082 | Takayuki Hori | Takayuki Hori, Takao Koikawa | Quantization via Star Products | 11 pages | Prog.Theor.Phys. 110 (2003) 127-136 | 10.1143/PTP.110.127 | null | hep-th | null | We study quantization via star products. We investigate a quantization scheme
in which a quantum theory is described entirely in terms of the function space
without reference to a Hilbert space, unlike the formulation employing the
Wigner functions. The associative law plays an essential role in excluding the
unwanted solutions to the stargen-value equation. This is demonstrated
explicitly with the $D$-dimensional harmonic oscillator.
| [
{
"created": "Wed, 9 Apr 2003 06:53:38 GMT",
"version": "v1"
},
{
"created": "Sun, 22 Jun 2003 10:04:34 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Hori",
"Takayuki",
""
],
[
"Koikawa",
"Takao",
""
]
] | We study quantization via star products. We investigate a quantization scheme in which a quantum theory is described entirely in terms of the function space without reference to a Hilbert space, unlike the formulation employing the Wigner functions. The associative law plays an essential role in excluding the unwanted solutions to the stargen-value equation. This is demonstrated explicitly with the $D$-dimensional harmonic oscillator. |
1207.3352 | Oliver DeWolfe | Oliver DeWolfe, Steven S. Gubser, and Christopher Rosen | Fermi surfaces in N=4 Super-Yang-Mills theory | 57 pages, 14 figures, LaTeX. v2: discussion of 2-charge black hole
clarified, references added | null | 10.1103/PhysRevD.86.106002 | COLO-HEP-575; PUPT-2422 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate and classify Fermi surface behavior for a set of fermionic
modes in a family of backgrounds holographically dual to N=4 Super-Yang-Mills
theory at zero temperature with two distinct chemical potentials. We
numerically solve fluctuation equations for every spin-1/2 field in
five-dimensional maximally supersymmetric gauged supergravity not mixing with
gravitini. Different modes manifest two, one or zero Fermi surface
singularities, all associated to non-Fermi liquids, and we calculate dispersion
relations and widths of excitations. We study two limits where the
zero-temperature entropy vanishes. In one limit, a Fermi surface approaches a
marginal Fermi liquid, which we demonstrate analytically, and conductivity
calculations show a hard gap with the current dual to the active gauge field
superconducting, while the other is insulating. In the other limit,
conductivities reveal a soft gap with the roles of the gauge fields reversed.
| [
{
"created": "Fri, 13 Jul 2012 20:00:01 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Aug 2012 22:05:41 GMT",
"version": "v2"
}
] | 2013-05-30 | [
[
"DeWolfe",
"Oliver",
""
],
[
"Gubser",
"Steven S.",
""
],
[
"Rosen",
"Christopher",
""
]
] | We investigate and classify Fermi surface behavior for a set of fermionic modes in a family of backgrounds holographically dual to N=4 Super-Yang-Mills theory at zero temperature with two distinct chemical potentials. We numerically solve fluctuation equations for every spin-1/2 field in five-dimensional maximally supersymmetric gauged supergravity not mixing with gravitini. Different modes manifest two, one or zero Fermi surface singularities, all associated to non-Fermi liquids, and we calculate dispersion relations and widths of excitations. We study two limits where the zero-temperature entropy vanishes. In one limit, a Fermi surface approaches a marginal Fermi liquid, which we demonstrate analytically, and conductivity calculations show a hard gap with the current dual to the active gauge field superconducting, while the other is insulating. In the other limit, conductivities reveal a soft gap with the roles of the gauge fields reversed. |
hep-th/9812228 | Zhukovsky Vladimir | V.Ch.Zhukovsky, V.V.Khudyakov, I.V.Mamsurov | Radiative Effects in Gauge Models with Homogeneous Condensate and Curved
Space-Time | 6 pages, LATEX Talk presented at the Fourth International Workshop on
Quantum Theory under the Influence of External Conditions, Leipzig
University, Leipzig, September 1998 | null | null | null | hep-th | null | Different models with nonabelian homogeneous condensate fields are considered
in the one-loop approximation. Effective action in a model of gluodynamics in
curved space is calculated. Free energy and its minimum in a (2+1)-dimensional
model of QCD are investigated. Photon polarization operator (PO) is obtained.
| [
{
"created": "Thu, 24 Dec 1998 13:21:43 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Zhukovsky",
"V. Ch.",
""
],
[
"Khudyakov",
"V. V.",
""
],
[
"Mamsurov",
"I. V.",
""
]
] | Different models with nonabelian homogeneous condensate fields are considered in the one-loop approximation. Effective action in a model of gluodynamics in curved space is calculated. Free energy and its minimum in a (2+1)-dimensional model of QCD are investigated. Photon polarization operator (PO) is obtained. |
1803.06484 | Partha Paul | Partha Paul, Pratik Roy | Linearized Einstein's Equation around pure BTZ from Entanglement
Thermodynamics | 19 Pages, 12 Figures, References added | null | 10.1007/s10714-019-2636-9 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | It is known that the linearized Einstein's equation around the pure $AdS$ can
be obtained from the constraint $ \Delta S = \Delta\left< H \right> $, known as
the first law of entanglement, on the boundary $CFT$. The corresponding dual
state in the boundary $CFT$ is the vacuum state around which the linear
perturbation is taken. In this paper we revisit this question, in the context
of $ {AdS}_3/{CFT}_2 $, with the state of the boundary ${CFT}_2$ as a thermal
state. The corresponding dual geometry is a planar BTZ black hole. By
considering the linearized perturbation around this black brane we show that
Einstein's equation follows from the first law of entanglement. The modular
Hamiltonian in a thermal state of the ${CFT}_2$ that we have used has been
recently found in arXiv:1608.01283 [cond-mat.stat-mech].
| [
{
"created": "Sat, 17 Mar 2018 10:04:14 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Mar 2018 12:02:27 GMT",
"version": "v2"
}
] | 2020-01-08 | [
[
"Paul",
"Partha",
""
],
[
"Roy",
"Pratik",
""
]
] | It is known that the linearized Einstein's equation around the pure $AdS$ can be obtained from the constraint $ \Delta S = \Delta\left< H \right> $, known as the first law of entanglement, on the boundary $CFT$. The corresponding dual state in the boundary $CFT$ is the vacuum state around which the linear perturbation is taken. In this paper we revisit this question, in the context of $ {AdS}_3/{CFT}_2 $, with the state of the boundary ${CFT}_2$ as a thermal state. The corresponding dual geometry is a planar BTZ black hole. By considering the linearized perturbation around this black brane we show that Einstein's equation follows from the first law of entanglement. The modular Hamiltonian in a thermal state of the ${CFT}_2$ that we have used has been recently found in arXiv:1608.01283 [cond-mat.stat-mech]. |
1510.09198 | David Frenklakh | David Frenklakh | Chiral Magnetic-Vortical Wave | 4 pages | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study collective excitations in rotating chiral media in presence of
magnetic field both in hydrodynamic framework and in kinetic theory. We find
that the velocity of the mixed Chiral Magnetic-Vortical Wave is a vector sum of
velocities of pure Magnetic and Vortical waves which do not exist separately
under these conditions. We also use relaxation time approximation to prove that
this wave itself is a non-dissipative phenomenon.
| [
{
"created": "Fri, 30 Oct 2015 18:54:13 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Mar 2016 19:40:44 GMT",
"version": "v2"
}
] | 2016-10-31 | [
[
"Frenklakh",
"David",
""
]
] | We study collective excitations in rotating chiral media in presence of magnetic field both in hydrodynamic framework and in kinetic theory. We find that the velocity of the mixed Chiral Magnetic-Vortical Wave is a vector sum of velocities of pure Magnetic and Vortical waves which do not exist separately under these conditions. We also use relaxation time approximation to prove that this wave itself is a non-dissipative phenomenon. |
1901.07096 | Jens Boos | Jens Boos, Valeri P. Frolov, Andrei Zelnikov | Probing the vacuum fluctuations in scalar ghost-free theories | 17 pages, 7 figures, computer algebra code available at
http://spintwo.net/static/2019.01.21/ , v2: matches the published version | Phys. Rev. D 99, 076014 (2019) | 10.1103/PhysRevD.99.076014 | Alberta-Thy-01-19 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the response of vacuum fluctuations to a static potential in the
context of massive, ghost-free infinite-derivative scalar field theories in two
dimensions. For the special case of a $\delta$-like potential, $V=\lambda
\delta(x)$, the problem is exactly solvable and we calculate the corresponding
Hadamard function for this quantum field. Using this exact result we determine
the renormalized value of the vacuum polarization $\langle
\hat{\varphi}^2(x)\rangle_\text{ren}$ as a function of the distance $x$ from
the position of the potential. This expression depends on the amplitude of the
potential as well as the scale of non-locality $\ell$; for distances $x\gg\ell$
the non-local and local results agree, whereas for distances $x < \ell$ there
is a difference.
| [
{
"created": "Mon, 21 Jan 2019 22:12:34 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Apr 2019 17:33:11 GMT",
"version": "v2"
}
] | 2019-04-30 | [
[
"Boos",
"Jens",
""
],
[
"Frolov",
"Valeri P.",
""
],
[
"Zelnikov",
"Andrei",
""
]
] | We discuss the response of vacuum fluctuations to a static potential in the context of massive, ghost-free infinite-derivative scalar field theories in two dimensions. For the special case of a $\delta$-like potential, $V=\lambda \delta(x)$, the problem is exactly solvable and we calculate the corresponding Hadamard function for this quantum field. Using this exact result we determine the renormalized value of the vacuum polarization $\langle \hat{\varphi}^2(x)\rangle_\text{ren}$ as a function of the distance $x$ from the position of the potential. This expression depends on the amplitude of the potential as well as the scale of non-locality $\ell$; for distances $x\gg\ell$ the non-local and local results agree, whereas for distances $x < \ell$ there is a difference. |
1103.3919 | Nikita Nekrasov | Nikita Nekrasov, Alexey Rosly, Samson Shatashvili | Darboux coordinates, Yang-Yang functional, and gauge theory | 25 pages, 11 figures, v1. in the proceedings of Cargese conference
"String Theory: Formal Developments and Applications" (Jun 21-Jul 3, 2010);
reported also at six other conferences in 2010, v2. references corrected | null | 10.1016/j.nuclphysbps.2011.04.150 | null | hep-th math.AG math.SG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The moduli space of SL(2) flat connections on a punctured Riemann surface
with the fixed conjugacy classes of the monodromies around the punctures is
endowed with a system of holomorphic Darboux coordinates, in which the
generating function of the variety of SL(2)-opers is identified with the
universal part of the effective twisted superpotential of the corresponding
four dimensional N=2 supersymmetric theory subject to the two-dimensional
Omega-deformation. This allows to give a definition of the Yang-Yang
functionals for the quantum Hitchin system in terms of the classical geometry
of the moduli space of local systems for the dual gauge group, and connect it
to the instanton counting of the four dimensional gauge theories, in the rank
one case.
| [
{
"created": "Mon, 21 Mar 2011 05:01:41 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Oct 2013 12:51:03 GMT",
"version": "v2"
}
] | 2015-05-27 | [
[
"Nekrasov",
"Nikita",
""
],
[
"Rosly",
"Alexey",
""
],
[
"Shatashvili",
"Samson",
""
]
] | The moduli space of SL(2) flat connections on a punctured Riemann surface with the fixed conjugacy classes of the monodromies around the punctures is endowed with a system of holomorphic Darboux coordinates, in which the generating function of the variety of SL(2)-opers is identified with the universal part of the effective twisted superpotential of the corresponding four dimensional N=2 supersymmetric theory subject to the two-dimensional Omega-deformation. This allows to give a definition of the Yang-Yang functionals for the quantum Hitchin system in terms of the classical geometry of the moduli space of local systems for the dual gauge group, and connect it to the instanton counting of the four dimensional gauge theories, in the rank one case. |
2306.01714 | Gustav Mogull | Gustav Uhre Jakobsen, Gustav Mogull, Jan Plefka, Benjamin Sauer,
Yingxuan Xu | Conservative scattering of spinning black holes at fourth
post-Minkowskian order | 10 pages, 3 figures v3 | null | null | HU-EP-23/16-RTG | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the ${\mathcal N}=1$ supersymmetric, spinning worldline quantum field
theory formalism we compute the conservative spin-orbit part of the momentum
impulse $\Delta p_i^\mu$, spin kick $\Delta S_i^\mu$ and scattering angle
$\theta$ from the scattering of two spinning massive bodies (black holes or
neutron stars) up to fourth post-Minkowskian (PM) order. These three-loop
results extend the state-of-the-art for generically spinning binaries from 3PM
to 4PM. They are obtained by employing recursion relations for the integrand
construction and advanced multi-loop Feynman integral technology in the causal
(in-in) worldline quantum field theory framework to directly produce classical
observables. We focus on the conservative contribution (including tail effects)
and outline the computations for the dissipative contributions as well. Our
spin-orbit results agree with N$^3$LO post-Newtonian and test-body data in the
respective limits. We also re-confirm the conservative 4PM non-spinning
results.
| [
{
"created": "Fri, 2 Jun 2023 17:35:31 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Jun 2023 17:41:04 GMT",
"version": "v2"
},
{
"created": "Fri, 20 Oct 2023 10:05:31 GMT",
"version": "v3"
}
] | 2023-10-23 | [
[
"Jakobsen",
"Gustav Uhre",
""
],
[
"Mogull",
"Gustav",
""
],
[
"Plefka",
"Jan",
""
],
[
"Sauer",
"Benjamin",
""
],
[
"Xu",
"Yingxuan",
""
]
] | Using the ${\mathcal N}=1$ supersymmetric, spinning worldline quantum field theory formalism we compute the conservative spin-orbit part of the momentum impulse $\Delta p_i^\mu$, spin kick $\Delta S_i^\mu$ and scattering angle $\theta$ from the scattering of two spinning massive bodies (black holes or neutron stars) up to fourth post-Minkowskian (PM) order. These three-loop results extend the state-of-the-art for generically spinning binaries from 3PM to 4PM. They are obtained by employing recursion relations for the integrand construction and advanced multi-loop Feynman integral technology in the causal (in-in) worldline quantum field theory framework to directly produce classical observables. We focus on the conservative contribution (including tail effects) and outline the computations for the dissipative contributions as well. Our spin-orbit results agree with N$^3$LO post-Newtonian and test-body data in the respective limits. We also re-confirm the conservative 4PM non-spinning results. |
1506.08771 | Ricardo Monteiro | Eduardo Casali, Yvonne Geyer, Lionel Mason, Ricardo Monteiro, Kai A.
Roehrig | New Ambitwistor String Theories | 34 pages, 2 figures, 5 tables. v2: minor changes, published version | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe new ambitwistor string theories that give rise to the recent
amplitude formulae for Einstein-Yang-Mills, (Dirac)-Born-Infeld, Galileons and
others introduced by Cachazo, He and Yuan. In the case of the
Einstein-Yang-Mills amplitudes, an important role is played by a novel
worldsheet conformal field theory that provides the appropriate colour factors
precisely without the spurious multitrace terms of earlier models that had to
be ignored by hand. This is needed to obtain the correct multitrace terms that
arise when Yang-Mills is coupled to gravity.
| [
{
"created": "Mon, 29 Jun 2015 18:38:36 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Oct 2015 11:21:38 GMT",
"version": "v2"
}
] | 2015-10-13 | [
[
"Casali",
"Eduardo",
""
],
[
"Geyer",
"Yvonne",
""
],
[
"Mason",
"Lionel",
""
],
[
"Monteiro",
"Ricardo",
""
],
[
"Roehrig",
"Kai A.",
""
]
] | We describe new ambitwistor string theories that give rise to the recent amplitude formulae for Einstein-Yang-Mills, (Dirac)-Born-Infeld, Galileons and others introduced by Cachazo, He and Yuan. In the case of the Einstein-Yang-Mills amplitudes, an important role is played by a novel worldsheet conformal field theory that provides the appropriate colour factors precisely without the spurious multitrace terms of earlier models that had to be ignored by hand. This is needed to obtain the correct multitrace terms that arise when Yang-Mills is coupled to gravity. |
2108.08544 | Yang Zhou | Tianyi Li, Ma-Ke Yuan, Yang Zhou | Defect Extremal Surface for Reflected Entropy | 1+35 pages, 23 figures | JHEP 01 (2022) 018 | 10.1007/JHEP01(2022)018 | null | hep-th cond-mat.str-el gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Defect extremal surface is defined by extremizing the Ryu-Takayanagi formula
corrected by the quantum defect theory. This is interesting when the AdS bulk
contains a defect brane (or string). We introduce a defect extremal surface
formula for reflected entropy, which is a mixed state generalization of
entanglement entropy measure. Based on a decomposition procedure of an AdS bulk
with a brane, we demonstrate the equivalence between defect extremal surface
formula and island formula for reflected entropy in AdS$_3$/BCFT$_2$. We also
compute the evolution of reflected entropy in evaporating black hole model and
find that defect extremal surface formula agrees with island formula.
| [
{
"created": "Thu, 19 Aug 2021 08:15:49 GMT",
"version": "v1"
}
] | 2022-01-10 | [
[
"Li",
"Tianyi",
""
],
[
"Yuan",
"Ma-Ke",
""
],
[
"Zhou",
"Yang",
""
]
] | Defect extremal surface is defined by extremizing the Ryu-Takayanagi formula corrected by the quantum defect theory. This is interesting when the AdS bulk contains a defect brane (or string). We introduce a defect extremal surface formula for reflected entropy, which is a mixed state generalization of entanglement entropy measure. Based on a decomposition procedure of an AdS bulk with a brane, we demonstrate the equivalence between defect extremal surface formula and island formula for reflected entropy in AdS$_3$/BCFT$_2$. We also compute the evolution of reflected entropy in evaporating black hole model and find that defect extremal surface formula agrees with island formula. |
hep-th/9807148 | Raphael Bousso | Raphael Bousso (Stanford) and Stephen Hawking (Cambridge) | Lorentzian Condition in Quantum Gravity | 14 pages, LaTeX2e, 2 figures | Phys.Rev.D59:103501,1999; Erratum-ibid.D60:109903,1999 | 10.1103/PhysRevD.59.103501 10.1103/PhysRevD.60.109903 | SU-ITP-98-26, DAMTP-1998-87 | hep-th gr-qc | null | The wave function of the universe is usually taken to be a functional of the
three-metric on a spacelike section, Sigma, which is measured. It is sometimes
better, however, to work in the conjugate representation, where the wave
function depends on a quantity related to the second fundamental form of Sigma.
This makes it possible to ensure that Sigma is part of a Lorentzian universe by
requiring that the argument of the wave function be purely imaginary. We
demonstrate the advantages of this formalism first in the well-known examples
of the nucleation of a de Sitter or a Nariai universe. We then use it to
calculate the pair creation rate for sub-maximal black holes in de Sitter
space, which had been thought to vanish semi-classically.
| [
{
"created": "Mon, 20 Jul 1998 23:44:07 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Bousso",
"Raphael",
"",
"Stanford"
],
[
"Hawking",
"Stephen",
"",
"Cambridge"
]
] | The wave function of the universe is usually taken to be a functional of the three-metric on a spacelike section, Sigma, which is measured. It is sometimes better, however, to work in the conjugate representation, where the wave function depends on a quantity related to the second fundamental form of Sigma. This makes it possible to ensure that Sigma is part of a Lorentzian universe by requiring that the argument of the wave function be purely imaginary. We demonstrate the advantages of this formalism first in the well-known examples of the nucleation of a de Sitter or a Nariai universe. We then use it to calculate the pair creation rate for sub-maximal black holes in de Sitter space, which had been thought to vanish semi-classically. |
1804.01998 | Marco Baggio | Marco Baggio and Alessandro Sfondrini | Strings on NS-NS Backgrounds as Integrable Deformations | 6 pages; v2: typos fixed, footnote [46] added | Phys. Rev. D 98, 021902 (2018) | 10.1103/PhysRevD.98.021902 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the worldsheet S matrix of superstrings on an AdS3xS3xT4 NS-NS
background in uniform light-cone gauge. We argue that scattering is given by a
CDD factor that is non-trivial only between opposite-chirality particles,
yielding a spin-chain-like Bethe Ansatz. Our proposal reproduces the spectrum
of non-protected states computed from the Wess-Zumino-Witten description and
the perturbative tree-level S matrix. This suggests that the model is an
integrable deformation of a free theory similar to those arising from the
T-Tbar composite operator.
| [
{
"created": "Thu, 5 Apr 2018 18:00:06 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Apr 2018 14:04:18 GMT",
"version": "v2"
}
] | 2018-07-25 | [
[
"Baggio",
"Marco",
""
],
[
"Sfondrini",
"Alessandro",
""
]
] | We consider the worldsheet S matrix of superstrings on an AdS3xS3xT4 NS-NS background in uniform light-cone gauge. We argue that scattering is given by a CDD factor that is non-trivial only between opposite-chirality particles, yielding a spin-chain-like Bethe Ansatz. Our proposal reproduces the spectrum of non-protected states computed from the Wess-Zumino-Witten description and the perturbative tree-level S matrix. This suggests that the model is an integrable deformation of a free theory similar to those arising from the T-Tbar composite operator. |
1011.2963 | Paul de Medeiros | Paul de Medeiros | Eulerian digraphs and toric Calabi-Yau varieties | 27 pages, 8 figures | JHEP 1107:051,2011 | 10.1007/JHEP07(2011)051 | EMPG-10-18 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the structure of a simple class of affine toric Calabi-Yau
varieties that are defined from quiver representations based on finite eulerian
directed graphs (digraphs). The vanishing first Chern class of these varieties
just follows from the characterisation of eulerian digraphs as being connected
with all vertices balanced. Some structure theory is used to show how any
eulerian digraph can be generated by iterating combinations of just a few
canonical graph-theoretic moves. We describe the effect of each of these moves
on the lattice polytopes which encode the toric Calabi-Yau varieties and
illustrate the construction in several examples. We comment on physical
applications of the construction in the context of moduli spaces for
superconformal gauged linear sigma models.
| [
{
"created": "Fri, 12 Nov 2010 15:52:14 GMT",
"version": "v1"
}
] | 2011-07-15 | [
[
"de Medeiros",
"Paul",
""
]
] | We investigate the structure of a simple class of affine toric Calabi-Yau varieties that are defined from quiver representations based on finite eulerian directed graphs (digraphs). The vanishing first Chern class of these varieties just follows from the characterisation of eulerian digraphs as being connected with all vertices balanced. Some structure theory is used to show how any eulerian digraph can be generated by iterating combinations of just a few canonical graph-theoretic moves. We describe the effect of each of these moves on the lattice polytopes which encode the toric Calabi-Yau varieties and illustrate the construction in several examples. We comment on physical applications of the construction in the context of moduli spaces for superconformal gauged linear sigma models. |
hep-th/9812183 | Savvidis | G. K. Savvidy | The QCD string and the generalised wave equation | 11 pages LaTeX, uses lamuphys.sty and bibnorm.sty,; Based on talks
given at the 6th Hellenic School and Workshop on Elementary Particle Physics,
Corfu, Greece, September 19-26, 1998 and at the International Workshop
"ISMP", Tbilisi, Georgia, September 12-18, 1998 | null | 10.1007/BFb0104247 | DEMO-HEP 98/26 Dec.98 | hep-th | null | The equation for QCD string proposed earlier is reviewed. This equation
appears when we examine the gonihedric string model and the corresponding
transfer matrix. Arguing that string equation should have a generalized Dirac
form we found the corresponding infinite-dimensional gamma matrices as a
symmetric solution of the Majorana commutation relations. The generalized gamma
matrices are anticommuting and guarantee unitarity of the theory at all orders
of $v/c$. In the second quantized form the equation does not have unwanted
ghost states in Fock space. In the absence of Casimir mass terms the spectrum
reminds hydrogen exitations. On every mass level $r=2,4,..$ there are different
charged particles with spin running from $j=1/2$ up to $j_{max}=r-1/2$, and the
degeneracy is equal to $d_{r}=2r-1 = 2j_{max}$. This is in contrast with the
exponential degeneracy in superstring theory.
| [
{
"created": "Sun, 20 Dec 1998 17:08:14 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Savvidy",
"G. K.",
""
]
] | The equation for QCD string proposed earlier is reviewed. This equation appears when we examine the gonihedric string model and the corresponding transfer matrix. Arguing that string equation should have a generalized Dirac form we found the corresponding infinite-dimensional gamma matrices as a symmetric solution of the Majorana commutation relations. The generalized gamma matrices are anticommuting and guarantee unitarity of the theory at all orders of $v/c$. In the second quantized form the equation does not have unwanted ghost states in Fock space. In the absence of Casimir mass terms the spectrum reminds hydrogen exitations. On every mass level $r=2,4,..$ there are different charged particles with spin running from $j=1/2$ up to $j_{max}=r-1/2$, and the degeneracy is equal to $d_{r}=2r-1 = 2j_{max}$. This is in contrast with the exponential degeneracy in superstring theory. |
hep-th/0106066 | Bert Schroer | Bert Schroer (CBPF, Rio de Janeiro) | Uniqueness of Inverse Scattering Problem in Local Quantum Physics | to appear in AOP, 18 pages latex | Ann.Phys.307:421-437,2003 | 10.1016/S0003-4916(03)00114-3 | null | hep-th math-ph math.MP quant-ph | null | It is shown that the operator algebraic setting of local quantum physics
leads to a uniqueness proof for the inverse scattering problem. The important
mathematical tool is the thermal KMS aspect of wedge-localized operator
algebras and its strengthening by the requirement of crossing symmetry for
generalized formfactors. The theorem extends properties which were previously
seen in d=1+1 factorizing models.
| [
{
"created": "Thu, 7 Jun 2001 19:04:47 GMT",
"version": "v1"
},
{
"created": "Thu, 15 May 2003 17:06:53 GMT",
"version": "v2"
}
] | 2011-07-19 | [
[
"Schroer",
"Bert",
"",
"CBPF, Rio de Janeiro"
]
] | It is shown that the operator algebraic setting of local quantum physics leads to a uniqueness proof for the inverse scattering problem. The important mathematical tool is the thermal KMS aspect of wedge-localized operator algebras and its strengthening by the requirement of crossing symmetry for generalized formfactors. The theorem extends properties which were previously seen in d=1+1 factorizing models. |
2009.14087 | Alfredo Iorio | Daniele Lanteri, Shen-Song Wan, Alfredo Iorio, Paolo Castorina | Stability of Schwarzschild (Anti)de Sitter black holes in Conformal
Gravity | 13 pages, 6 figures | null | 10.1140/epjc/s10052-021-09368-2 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the thermodynamics of spherically symmetric, neutral and
non-rotating black holes in conformal (Weyl) gravity. To this end, we apply
different methods: (i) the evaluation of the specific heat; (ii) the study of
the entropy concavity; (iii) the geometrical approach to thermodynamics known
as \textit{thermodynamic geometry}; (iv) the Poincar\'{e} method that relates
equilibrium and out-of-equilibrium thermodynamics. We show that the
thermodynamic geometry approach can be applied to conformal gravity too,
because all the key thermodynamic variables are insensitive to Weyl scaling.
The first two methods, (i) and (ii), indicate that the entropy of a de Sitter
black hole is always in the interval $2/3\leq S\leq 1$, whereas thermodynamic
geometry suggests that, at $S=1$, there is a second order phase transition to
an Anti de Sitter black hole. On the other hand, we obtain from the
Poincar\'{e} method (iv) that black holes whose entropy is $S < 4/3$ are stable
or in a saddle-point, whereas when $S>4/3$ they are always unstable, hence
there is no definite answer on whether such transition occurs.
| [
{
"created": "Tue, 29 Sep 2020 15:16:54 GMT",
"version": "v1"
}
] | 2021-07-21 | [
[
"Lanteri",
"Daniele",
""
],
[
"Wan",
"Shen-Song",
""
],
[
"Iorio",
"Alfredo",
""
],
[
"Castorina",
"Paolo",
""
]
] | We study the thermodynamics of spherically symmetric, neutral and non-rotating black holes in conformal (Weyl) gravity. To this end, we apply different methods: (i) the evaluation of the specific heat; (ii) the study of the entropy concavity; (iii) the geometrical approach to thermodynamics known as \textit{thermodynamic geometry}; (iv) the Poincar\'{e} method that relates equilibrium and out-of-equilibrium thermodynamics. We show that the thermodynamic geometry approach can be applied to conformal gravity too, because all the key thermodynamic variables are insensitive to Weyl scaling. The first two methods, (i) and (ii), indicate that the entropy of a de Sitter black hole is always in the interval $2/3\leq S\leq 1$, whereas thermodynamic geometry suggests that, at $S=1$, there is a second order phase transition to an Anti de Sitter black hole. On the other hand, we obtain from the Poincar\'{e} method (iv) that black holes whose entropy is $S < 4/3$ are stable or in a saddle-point, whereas when $S>4/3$ they are always unstable, hence there is no definite answer on whether such transition occurs. |
hep-th/9808036 | Martin Stock | R. Jackiw and So-Young Pi | Dimensionally Reduced Chern-Simons Terms and their Solitons | Email correspondence to jackiw@mitlns.mit.edu ; 9 pages, AMS-LaTeX | null | null | MIT-CTP-2771 | hep-th | null | We consider models in which nonrelativistic matter fields interact with gauge
fields whose dynamics are governed by the Chern-Simons term. The relevant
equations of motion are derived and reduced dimensionally in time or in space.
Interesting solitonic equations emerge and their solutions are described.
Finally, we consider a Chern-Simons term in three-dimensional Euclidean space,
reduced by spherical symmetry, and we discuss its effect on monopole and
instanton solutions.
| [
{
"created": "Thu, 6 Aug 1998 21:04:23 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Jackiw",
"R.",
""
],
[
"Pi",
"So-Young",
""
]
] | We consider models in which nonrelativistic matter fields interact with gauge fields whose dynamics are governed by the Chern-Simons term. The relevant equations of motion are derived and reduced dimensionally in time or in space. Interesting solitonic equations emerge and their solutions are described. Finally, we consider a Chern-Simons term in three-dimensional Euclidean space, reduced by spherical symmetry, and we discuss its effect on monopole and instanton solutions. |
1005.4832 | Sujoy Modak | Rabin Banerjee, Sujoy Kumar Modak, Saurav Samanta | Second Order Phase Transition and Thermodynamic Geometry in Kerr-AdS
Black Hole | LaTex, v3: 12 pages, 3 figures; minor modifications to match the
journal version; to appear in Phys. Rev. D | Phys.Rev.D84:064024,2011 | 10.1103/PhysRevD.84.064024 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss a scheme based on Ehrenfest like equations to exhibit and classify
transitions between two phases (with "smaller" and "larger" masses) of Kerr AdS
black holes. We show that for fixed angular velocity this phase transition is
of second order as both Ehrenfest's equations are satisfied. Finally we make a
close connection of the results found from this analysis with those obtained
from the thermodynamic state space geometry approach.
| [
{
"created": "Wed, 26 May 2010 14:41:27 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Jul 2011 08:40:29 GMT",
"version": "v2"
},
{
"created": "Wed, 24 Aug 2011 11:17:41 GMT",
"version": "v3"
}
] | 2011-09-29 | [
[
"Banerjee",
"Rabin",
""
],
[
"Modak",
"Sujoy Kumar",
""
],
[
"Samanta",
"Saurav",
""
]
] | We discuss a scheme based on Ehrenfest like equations to exhibit and classify transitions between two phases (with "smaller" and "larger" masses) of Kerr AdS black holes. We show that for fixed angular velocity this phase transition is of second order as both Ehrenfest's equations are satisfied. Finally we make a close connection of the results found from this analysis with those obtained from the thermodynamic state space geometry approach. |
hep-th/9903087 | Andrei Mironov | A.Morozov | Whitham Integrability in Seiberg-Witten Theory | 13 pages, LaTeX; Talk given at the Workshop "Integrability: the
Seiberg-Witten and Whitham equations", Edinburgh, September 1998 | null | null | null | hep-th | null | Review of the theory of effective actions and the hypothetical origins of
integrability in Seiberg-Witten theory.
| [
{
"created": "Wed, 10 Mar 1999 17:19:00 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Morozov",
"A.",
""
]
] | Review of the theory of effective actions and the hypothetical origins of integrability in Seiberg-Witten theory. |
hep-th/0512245 | Natalia Saulina | M. Aganagic, D. Jafferis, N. Saulina | Branes, Black Holes and Topological Strings on Toric Calabi-Yau
Manifolds | 50 pages, 6 figures, harvmac | JHEP0612:018,2006 | 10.1088/1126-6708/2006/12/018 | HUTP-05/A0050, UCB-PTH/05/42 | hep-th | null | We develop means of computing exact degerenacies of BPS black holes on toric
Calabi-Yau manifolds. We show that the gauge theory on the D4 branes wrapping
ample divisors reduces to 2D q-deformed Yang-Mills theory on necklaces of
P^1's. As explicit examples we consider local P^2, P^1 x P^1 and A_k type ALE
space times C. At large N the D-brane partition function factorizes as a sum
over squares of chiral blocks, the leading one of which is the topological
closed string amplitude on the Calabi-Yau. This is in complete agreement with
the recent conjecture of Ooguri, Strominger and Vafa.
| [
{
"created": "Mon, 19 Dec 2005 22:43:18 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Aganagic",
"M.",
""
],
[
"Jafferis",
"D.",
""
],
[
"Saulina",
"N.",
""
]
] | We develop means of computing exact degerenacies of BPS black holes on toric Calabi-Yau manifolds. We show that the gauge theory on the D4 branes wrapping ample divisors reduces to 2D q-deformed Yang-Mills theory on necklaces of P^1's. As explicit examples we consider local P^2, P^1 x P^1 and A_k type ALE space times C. At large N the D-brane partition function factorizes as a sum over squares of chiral blocks, the leading one of which is the topological closed string amplitude on the Calabi-Yau. This is in complete agreement with the recent conjecture of Ooguri, Strominger and Vafa. |
hep-th/0210236 | Betti Hartmann | Eugenio R. Bezerra de Mello (University of Paraiba, Brazil), Yves
Brihaye (University of Mons, Belgium) and Betti Hartmann (University of
Durham, UK) | Interaction of global and local monopoles | 9 Revtex pages, 4 ps-figures | Phys.Rev. D67 (2003) 045015 | 10.1103/PhysRevD.67.045015 | DCPT-02/71 | hep-th gr-qc | null | We study the direct interaction between global and local monopoles. While in
two previous papers, the coupling between the two sectors was only indirect
through the coupling to gravity, we here introduce a new term in the potential
that couples the Goldstone field and the Higgs field directly. We investigate
the influence of this term in curved space and compare it to the results
obtained previously.
| [
{
"created": "Thu, 24 Oct 2002 11:33:30 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"de Mello",
"Eugenio R. Bezerra",
"",
"University of Paraiba, Brazil"
],
[
"Brihaye",
"Yves",
"",
"University of Mons, Belgium"
],
[
"Hartmann",
"Betti",
"",
"University of\n Durham, UK"
]
] | We study the direct interaction between global and local monopoles. While in two previous papers, the coupling between the two sectors was only indirect through the coupling to gravity, we here introduce a new term in the potential that couples the Goldstone field and the Higgs field directly. We investigate the influence of this term in curved space and compare it to the results obtained previously. |
2309.03153 | Fabrizio Canfora | Fabrizio Canfora | Magnetized Baryonic layer and a novel BPS bound in the
gauged-Non-Linear-Sigma-Model-Maxwell theory in (3+1)-dimensions through
Hamilton-Jacobi equation | 14 pages, No figure, typos corrected. Discussion on charge
condensation included. Notation improved. Version accepted for publication on
Journal of High Energy Physics (JHEP) | null | null | null | hep-th astro-ph.HE cond-mat.supr-con hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is show that one can derive a novel BPS bound for the gauged
Non-Linear-Sigma-Model (NLSM) Maxwell theory in (3+1) dimensions which can
actually be saturated. Such novel bound is constructed using Hamilton-Jacobi
equation from classical mechanics. The configurations saturating the bound
represent Hadronic layers possessing both Baryonic charge and magnetic flux.
However, unlike what happens in the more common situations, the topological
charge which appears naturally in the BPS bound is a non-linear function of the
Baryonic charge. This BPS bound can be saturated when the surface area of the
layer is quantized. The far-reaching implications of these results are
discussed. In particular, we determine the exact relation between the magnetic
flux and the Baryonic charge as well as the critical value of the Baryonic
chemical potential beyond which these configurations become thermodynamically
unstable.
| [
{
"created": "Wed, 6 Sep 2023 16:49:54 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Sep 2023 15:03:01 GMT",
"version": "v2"
},
{
"created": "Wed, 18 Oct 2023 14:46:13 GMT",
"version": "v3"
}
] | 2023-10-19 | [
[
"Canfora",
"Fabrizio",
""
]
] | It is show that one can derive a novel BPS bound for the gauged Non-Linear-Sigma-Model (NLSM) Maxwell theory in (3+1) dimensions which can actually be saturated. Such novel bound is constructed using Hamilton-Jacobi equation from classical mechanics. The configurations saturating the bound represent Hadronic layers possessing both Baryonic charge and magnetic flux. However, unlike what happens in the more common situations, the topological charge which appears naturally in the BPS bound is a non-linear function of the Baryonic charge. This BPS bound can be saturated when the surface area of the layer is quantized. The far-reaching implications of these results are discussed. In particular, we determine the exact relation between the magnetic flux and the Baryonic charge as well as the critical value of the Baryonic chemical potential beyond which these configurations become thermodynamically unstable. |
1911.10574 | Andrei Mironov | N. Amburg, H. Itoyama, A. Mironov, A. Morozov, D. Vasiliev, R.
Yoshioka | Correspondence between Feynman diagrams and operators in quantum field
theory that emerges from tensor model | 5 pages | Eur. Phys. J. C 80, 471 (2020) | 10.1140/epjc/s10052-020-8013-8 | FIAN/TD-12/19, ITEP/TH-33/19, IITP/TH-19/19, MIPT-TH-17/19, NITEP
37, OCU-PHYS 512 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A novel functorial relationship in perturbative quantum field theory is
pointed out that associates Feynman diagrams (FD) having no external line in
one theory ${\bf Th}_1$ with singlet operators in another one ${\bf Th}_2$
having an additional $U({\cal N})$ symmetry and is illustrated by the case
where ${\bf Th}_1$ and ${\bf Th}_2$ are respectively the rank $r-1$ and the
rank $r$ complex tensor model. The values of FD in ${\bf Th}_1$ agree with the
large ${\cal N}$ limit of the Gaussian average of those operators in ${\bf
Th}_2$. The recursive shift in rank by this FD functor converts numbers into
vectors, then into matrices, and then into rank $3$ tensors ${\ldots}$ This FD
functor can straightforwardly act on the $d$ dimensional tensorial quantum
field theory counterparts as well. In the case of rank 2-rank 3 correspondence,
it can be combined with the geometrical pictures of the dual of the original
FD, namely, equilateral triangulations (Grothendieck's dessins d'enfant) to
form a triality which may be regarded as a bulk-boundary correspondence.
| [
{
"created": "Sun, 24 Nov 2019 17:24:36 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Nov 2019 01:57:49 GMT",
"version": "v2"
},
{
"created": "Tue, 10 Dec 2019 15:46:03 GMT",
"version": "v3"
}
] | 2020-05-29 | [
[
"Amburg",
"N.",
""
],
[
"Itoyama",
"H.",
""
],
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
],
[
"Vasiliev",
"D.",
""
],
[
"Yoshioka",
"R.",
""
]
] | A novel functorial relationship in perturbative quantum field theory is pointed out that associates Feynman diagrams (FD) having no external line in one theory ${\bf Th}_1$ with singlet operators in another one ${\bf Th}_2$ having an additional $U({\cal N})$ symmetry and is illustrated by the case where ${\bf Th}_1$ and ${\bf Th}_2$ are respectively the rank $r-1$ and the rank $r$ complex tensor model. The values of FD in ${\bf Th}_1$ agree with the large ${\cal N}$ limit of the Gaussian average of those operators in ${\bf Th}_2$. The recursive shift in rank by this FD functor converts numbers into vectors, then into matrices, and then into rank $3$ tensors ${\ldots}$ This FD functor can straightforwardly act on the $d$ dimensional tensorial quantum field theory counterparts as well. In the case of rank 2-rank 3 correspondence, it can be combined with the geometrical pictures of the dual of the original FD, namely, equilateral triangulations (Grothendieck's dessins d'enfant) to form a triality which may be regarded as a bulk-boundary correspondence. |
0809.1370 | Kenichi Konishi | Kenichi Konishi | Advent of Non-Abelian Vortices and Monopoles-- further thoughts about
duality and confinement | Contribution to "30 Years of Mathematical Methods in High Energy
Physics", (Kyoto) March 2008 | Prog.Theor.Phys.Suppl.177:83-98,2009 | 10.1143/PTPS.177.83 | IFUP-TH/2008-23 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recent development on non-Abeliann vortices and monopoles is reviewed with an
emphasis on their relevance on confinement and duality. A very recent
construction of non-Abelian vortices which do not dynamically Abelianize is
crucial in this context.
| [
{
"created": "Mon, 8 Sep 2008 16:00:15 GMT",
"version": "v1"
}
] | 2009-11-18 | [
[
"Konishi",
"Kenichi",
""
]
] | Recent development on non-Abeliann vortices and monopoles is reviewed with an emphasis on their relevance on confinement and duality. A very recent construction of non-Abelian vortices which do not dynamically Abelianize is crucial in this context. |
2103.02508 | Andrei Mironov | A. Mironov, A. Morozov, Y. Zenkevich | Duality in elliptic Ruijsenaars system and elliptic symmetric functions | 15 pages | Eur. Phys. J. C 81 (2021) 461 | 10.1140/epjc/s10052-021-09248-9 | FIAN/TD-03/21; IITP/TH-04/21; ITEP/TH-07/21; MIPT/TH-04/21 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We demonstrate that the symmetric elliptic polynomials $E_\lambda(x)$
originally discovered in the study of generalized Noumi-Shiraishi functions are
eigenfunctions of the elliptic Ruijsenaars-Schneider (eRS) Hamiltonians that
act on the mother function variable $y_i$ (substitute of the Young-diagram
variable $\lambda$). This means they are eigenfunctions of the dual eRS system.
At the same time, their orthogonal complements in the Schur scalar product,
$P_R(x)$ are eigenfunctions of the elliptic reduction of the Koroteev-Shakirov
(KS) Hamiltonians. This means that these latter are related to the dual eRS
Hamiltonians by a somewhat mysterious orthogonality transformation, which is
well defined only on the full space of time variables, while the coordinates
$x_i$ appear only after the Miwa transform. This observation explains the
difficulties with getting the apparently self-dual Hamiltonians from the double
elliptic version of the KS Hamiltonians.
| [
{
"created": "Wed, 3 Mar 2021 16:27:42 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Mar 2021 16:50:05 GMT",
"version": "v2"
}
] | 2021-06-01 | [
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
],
[
"Zenkevich",
"Y.",
""
]
] | We demonstrate that the symmetric elliptic polynomials $E_\lambda(x)$ originally discovered in the study of generalized Noumi-Shiraishi functions are eigenfunctions of the elliptic Ruijsenaars-Schneider (eRS) Hamiltonians that act on the mother function variable $y_i$ (substitute of the Young-diagram variable $\lambda$). This means they are eigenfunctions of the dual eRS system. At the same time, their orthogonal complements in the Schur scalar product, $P_R(x)$ are eigenfunctions of the elliptic reduction of the Koroteev-Shakirov (KS) Hamiltonians. This means that these latter are related to the dual eRS Hamiltonians by a somewhat mysterious orthogonality transformation, which is well defined only on the full space of time variables, while the coordinates $x_i$ appear only after the Miwa transform. This observation explains the difficulties with getting the apparently self-dual Hamiltonians from the double elliptic version of the KS Hamiltonians. |
2303.10841 | Kengo Kikuchi | Kengo Kikuchi, Kenji Nishiwaki, and Kin-ya Oda | Gradient-flowed order parameter for spontaneous gauge symmetry breaking | 37 pages, 2 figures, minor changes, published version on EPJC | The European Physical Journal C volume 83, Article number: 462
(2023) | 10.1140/epjc/s10052-023-11553-4 | RIKEN-iTHEMS-Report-23 | hep-th hep-lat hep-ph | http://creativecommons.org/licenses/by/4.0/ | The gauge-invariant two-point function of the Higgs field at the same
spacetime point can make a natural gauge-invariant order parameter for
spontaneous gauge symmetry breaking. However, this composite operator is
ultraviolet divergent and is not well defined. We propose using a gradient flow
to cure the divergence from putting the fields at the same spacetime point. As
a first step, we compute it for the Abelian Higgs model with a positive mass
squared at the one-loop order in the continuum theory using the saddle-point
method to estimate the finite part. The order parameter consistently goes to
zero in the infrared limit of the infinite flow time.
| [
{
"created": "Mon, 20 Mar 2023 03:12:26 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Jun 2023 05:39:57 GMT",
"version": "v2"
}
] | 2023-06-14 | [
[
"Kikuchi",
"Kengo",
""
],
[
"Nishiwaki",
"Kenji",
""
],
[
"Oda",
"Kin-ya",
""
]
] | The gauge-invariant two-point function of the Higgs field at the same spacetime point can make a natural gauge-invariant order parameter for spontaneous gauge symmetry breaking. However, this composite operator is ultraviolet divergent and is not well defined. We propose using a gradient flow to cure the divergence from putting the fields at the same spacetime point. As a first step, we compute it for the Abelian Higgs model with a positive mass squared at the one-loop order in the continuum theory using the saddle-point method to estimate the finite part. The order parameter consistently goes to zero in the infrared limit of the infinite flow time. |
0809.1508 | Bibhas Majhi Ranjan | Bibhas Ranjan Majhi | Fermion Tunneling Beyond Semiclassical Approximation | LaTex,10 pages, no figure, minor changes, references added, to appear
in Phys. rev. D | Phys.Rev.D79:044005,2009 | 10.1103/PhysRevD.79.044005 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/3.0/ | Applying the Hamilton-Jacobi method beyond the semiclassical approximation
prescribed in \cite{Majhi3} for the scalar particle, Hawking radiation as
tunneling of Dirac particle through an event horizon is analysed. We show that,
as before, all quantum corrections in the single particle action are
proportional to the usual semiclassical contribution. We also compute the
modifications to the Hawking temperature and Bekenstein-Hawking entropy for the
Schwarzschild black hole. Finally, the coefficient of the logarithmic
correction to entropy is shown to be related with the trace anomaly.
| [
{
"created": "Tue, 9 Sep 2008 08:54:59 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Jan 2009 07:01:19 GMT",
"version": "v2"
}
] | 2009-02-20 | [
[
"Majhi",
"Bibhas Ranjan",
""
]
] | Applying the Hamilton-Jacobi method beyond the semiclassical approximation prescribed in \cite{Majhi3} for the scalar particle, Hawking radiation as tunneling of Dirac particle through an event horizon is analysed. We show that, as before, all quantum corrections in the single particle action are proportional to the usual semiclassical contribution. We also compute the modifications to the Hawking temperature and Bekenstein-Hawking entropy for the Schwarzschild black hole. Finally, the coefficient of the logarithmic correction to entropy is shown to be related with the trace anomaly. |
1901.04471 | Alexey Loginov | A.Yu. Loginov and V.V. Gauzshtein | A two-dimensional soliton system in the Maxwell-Chern-Simons gauge model | 8 pages with 6 figures. arXiv admin note: text overlap with
arXiv:1901.00993 | Physics Letters B 784 (2018) 112-117 | 10.1016/j.physletb.2018.07.044 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | The (2 + 1)-dimensional Maxwell-Chern-Simons gauge model consisting of two
complex scalar fields interacting through a common Abelian gauge field is
considered. It is shown that the model has a solution that describes a soliton
system consisting of vortex and Q-ball constituents. This two-dimensional
soliton system possesses a quantized magnetic flux and a quantized electric
charge. Moreover, the soliton system has a nonzero angular momentum. Properties
of this vortex-Q-ball system are investigated by analytical and numerical
methods. It is found that the system combines properties of a vortex and a
Q-ball.
| [
{
"created": "Sat, 12 Jan 2019 07:19:19 GMT",
"version": "v1"
}
] | 2019-01-16 | [
[
"Loginov",
"A. Yu.",
""
],
[
"Gauzshtein",
"V. V.",
""
]
] | The (2 + 1)-dimensional Maxwell-Chern-Simons gauge model consisting of two complex scalar fields interacting through a common Abelian gauge field is considered. It is shown that the model has a solution that describes a soliton system consisting of vortex and Q-ball constituents. This two-dimensional soliton system possesses a quantized magnetic flux and a quantized electric charge. Moreover, the soliton system has a nonzero angular momentum. Properties of this vortex-Q-ball system are investigated by analytical and numerical methods. It is found that the system combines properties of a vortex and a Q-ball. |
hep-th/9402054 | null | M. A. Semenov-Tian-Shansky | Monodromy Map and Classical r-matrices | 13 pages, translation of the author's article published in Zapiski
Lauchn. Semin. POMI, v.200, 1993, St.Petersburg | null | null | null | hep-th math.QA | null | We compute the Poisson bracket relations for the monodromy matrix of the
auxiliary linear problem. If the basic Poisson bracket relations of the model
contain derivatives, this computation leads to a peculiar type of symmetry
breaking which accounts for a 'spontaneous quantization of the underlying
global gauge group. A classification of possible patterns of symmetry breaking
is outlined.
| [
{
"created": "Wed, 9 Feb 1994 16:27:15 GMT",
"version": "v1"
}
] | 2008-02-03 | [
[
"Semenov-Tian-Shansky",
"M. A.",
""
]
] | We compute the Poisson bracket relations for the monodromy matrix of the auxiliary linear problem. If the basic Poisson bracket relations of the model contain derivatives, this computation leads to a peculiar type of symmetry breaking which accounts for a 'spontaneous quantization of the underlying global gauge group. A classification of possible patterns of symmetry breaking is outlined. |
2103.08649 | David Stefanyszyn | Sadra Jazayeri, Enrico Pajer and David Stefanyszyn | From Locality and Unitarity to Cosmological Correlators | Published version | null | 10.1007/JHEP10(2021)065 | null | hep-th astro-ph.CO gr-qc | http://creativecommons.org/licenses/by/4.0/ | In the standard approach to deriving inflationary predictions, we evolve a
vacuum state in time according to the rules of a given model. Since the only
observables are the future values of correlators and not their time evolution,
this brings about a large degeneracy: a vast number of different models are
mapped to the same minute number of observables. Furthermore, due to the lack
of time-translation invariance, even tree-level calculations require an
increasing number of nested integrals that quickly become intractable. Here we
ask how much of the final observables can be "bootstrapped" directly from
locality, unitarity and symmetries.
To this end, we introduce two new bootstrap tools to efficiently compute
cosmological correlators/wavefunctions. The first is a Manifestly Local Test
(MLT) that any $n$-point (wave)function of massless scalars or gravitons must
satisfy if it is to arise from a manifestly local theory. When combined with a
sub-set of the recently proposed Bootstrap Rules, this allows us to compute
explicitly all bispectra to all orders in derivatives for a single scalar.
Since we don't invoke soft theorems, this can also be extended to multi-field
inflation. The second is a partial energy recursion relation that allows us to
compute exchange correlators. Combining a bespoke complex shift of the partial
energies with Cauchy's integral theorem and the Cosmological Optical Theorem,
we fix exchange correlators up to a boundary term. The latter can be determined
up to contact interactions using unitarity and manifest locality. As an
illustration, we use these tools to bootstrap scalar inflationary trispectra
due to graviton exchange and inflaton self-interactions.
| [
{
"created": "Mon, 15 Mar 2021 18:55:06 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Oct 2021 13:06:13 GMT",
"version": "v2"
}
] | 2021-10-27 | [
[
"Jazayeri",
"Sadra",
""
],
[
"Pajer",
"Enrico",
""
],
[
"Stefanyszyn",
"David",
""
]
] | In the standard approach to deriving inflationary predictions, we evolve a vacuum state in time according to the rules of a given model. Since the only observables are the future values of correlators and not their time evolution, this brings about a large degeneracy: a vast number of different models are mapped to the same minute number of observables. Furthermore, due to the lack of time-translation invariance, even tree-level calculations require an increasing number of nested integrals that quickly become intractable. Here we ask how much of the final observables can be "bootstrapped" directly from locality, unitarity and symmetries. To this end, we introduce two new bootstrap tools to efficiently compute cosmological correlators/wavefunctions. The first is a Manifestly Local Test (MLT) that any $n$-point (wave)function of massless scalars or gravitons must satisfy if it is to arise from a manifestly local theory. When combined with a sub-set of the recently proposed Bootstrap Rules, this allows us to compute explicitly all bispectra to all orders in derivatives for a single scalar. Since we don't invoke soft theorems, this can also be extended to multi-field inflation. The second is a partial energy recursion relation that allows us to compute exchange correlators. Combining a bespoke complex shift of the partial energies with Cauchy's integral theorem and the Cosmological Optical Theorem, we fix exchange correlators up to a boundary term. The latter can be determined up to contact interactions using unitarity and manifest locality. As an illustration, we use these tools to bootstrap scalar inflationary trispectra due to graviton exchange and inflaton self-interactions. |
1506.00265 | Clay C\'ordova | Clay Cordova, Shu-Heng Shao | Schur Indices, BPS Particles, and Argyres-Douglas Theories | 46 pages, 12 figures. v2: revisions to section 1, references added | null | 10.1007/JHEP01(2016)040 | null | hep-th math.CO math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We conjecture a precise relationship between the Schur limit of the
superconformal index of four-dimensional $\mathcal{N}=2$ field theories, which
counts local operators, and the spectrum of BPS particles on the Coulomb
branch. We verify this conjecture for the special case of free field theories,
$\mathcal{N}=2$ QED, and $SU(2)$ gauge theory coupled to fundamental matter.
Assuming the validity of our proposal, we compute the Schur index of all
Argyres-Douglas theories. Our answers match expectations from the connection of
Schur operators with two-dimensional chiral algebras. Based on our results we
propose that the chiral algebra of the generalized Argyres-Douglas theory
$(A_{k-1},A_{N-1})$ with $k$ and $N$ coprime, is the vacuum sector of the
$(k,k+N)$ $W_{k}$ minimal model, and that the Schur index is the associated
vacuum character.
| [
{
"created": "Sun, 31 May 2015 18:14:49 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Jun 2015 16:22:38 GMT",
"version": "v2"
}
] | 2016-02-17 | [
[
"Cordova",
"Clay",
""
],
[
"Shao",
"Shu-Heng",
""
]
] | We conjecture a precise relationship between the Schur limit of the superconformal index of four-dimensional $\mathcal{N}=2$ field theories, which counts local operators, and the spectrum of BPS particles on the Coulomb branch. We verify this conjecture for the special case of free field theories, $\mathcal{N}=2$ QED, and $SU(2)$ gauge theory coupled to fundamental matter. Assuming the validity of our proposal, we compute the Schur index of all Argyres-Douglas theories. Our answers match expectations from the connection of Schur operators with two-dimensional chiral algebras. Based on our results we propose that the chiral algebra of the generalized Argyres-Douglas theory $(A_{k-1},A_{N-1})$ with $k$ and $N$ coprime, is the vacuum sector of the $(k,k+N)$ $W_{k}$ minimal model, and that the Schur index is the associated vacuum character. |
hep-th/0512090 | Brett D. Altschul | B. Altschul | Radiatively Induced Lorentz-Violating Photon Masses | 12 pages, minor changes and updated references | Phys.Rev.D73:036005,2006 | 10.1103/PhysRevD.73.036005 | IUHET-488 | hep-th | null | We examine the radiative corrections to an extension of the standard model
containing a Lorentz-violating axial vector parameter. At second order in this
parameter, the photon self-energy is known to contain terms that violate gauge
invariance. Previously, this has been treated as a pathology, but it is also
possible to take the gauge noninvariant terms at face value. These terms then
make Lorentz-violating contributions to the photon mass, and directly measured
limits on the photon mass can be used to set bounds on the Lorentz violation at
better than the 10^-22 GeV level.
| [
{
"created": "Wed, 7 Dec 2005 19:19:10 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Feb 2006 18:40:19 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Altschul",
"B.",
""
]
] | We examine the radiative corrections to an extension of the standard model containing a Lorentz-violating axial vector parameter. At second order in this parameter, the photon self-energy is known to contain terms that violate gauge invariance. Previously, this has been treated as a pathology, but it is also possible to take the gauge noninvariant terms at face value. These terms then make Lorentz-violating contributions to the photon mass, and directly measured limits on the photon mass can be used to set bounds on the Lorentz violation at better than the 10^-22 GeV level. |
1310.4105 | Navid Abbasi | Navid Abbasi, Ali Davody | The Energy Loss of a Heavy Quark Moving Through a General Fluid
Dynamical Flow | 28 pages, v2: typos corrected, v3: Note added + Some corrections in
the expression of F^y | JHEP12(2013)026 | 10.1007/JHEP12(2013)026 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We determine the most general form of the covariant drag force exerted on a
quark moving through a fluid dynamical flow. Up to first order in derivative
expansion, our general formula requires the specification of seven coefficient
functions. We use the perturbative method introduced in arXiv:1202.2737 and
find all these coefficients in the hydrodynamic regime of a $\mathcal{N}=4$ SYM
plasma. Having this general formula, we can obtain the rate of the energy and
momentum loss of a quark, namely the drag force, in a general flow. This result
makes it possible to perturbatively study the motion of heavy quarks moving
through the Bjorken flow up to first order in derivative expansion.
| [
{
"created": "Tue, 15 Oct 2013 16:29:41 GMT",
"version": "v1"
},
{
"created": "Sat, 19 Oct 2013 20:19:39 GMT",
"version": "v2"
},
{
"created": "Thu, 27 Aug 2015 15:11:59 GMT",
"version": "v3"
}
] | 2015-08-28 | [
[
"Abbasi",
"Navid",
""
],
[
"Davody",
"Ali",
""
]
] | We determine the most general form of the covariant drag force exerted on a quark moving through a fluid dynamical flow. Up to first order in derivative expansion, our general formula requires the specification of seven coefficient functions. We use the perturbative method introduced in arXiv:1202.2737 and find all these coefficients in the hydrodynamic regime of a $\mathcal{N}=4$ SYM plasma. Having this general formula, we can obtain the rate of the energy and momentum loss of a quark, namely the drag force, in a general flow. This result makes it possible to perturbatively study the motion of heavy quarks moving through the Bjorken flow up to first order in derivative expansion. |
hep-th/0104095 | Mukund Rangamani | Mukund Rangamani (Princeton U.) | Reverse Engineering ADHM Construction from Non-Commutative Instantons | 16 pages, Latex, references added | null | null | null | hep-th | null | We study the non-commutative instanton solution proposed in hep-th/0009142
and obtain the spectrum of small oscillations. The spectrum thus obtained is in
exact agreement with the spectrum of stringy excitations in a configuration of
point like D0 branes sitting on top of D4-branes with a uniform magnetic field
turned on in the world-volume of the D4-branes in the Seiberg-Witten decoupling
limit. This provides further evidence for the solution of hep-th/0009142 and
also enables us recover the ADHM data from the 0-4 string spectrum.
Generalizations to higher co-dimension solitons are also discussed.
| [
{
"created": "Tue, 10 Apr 2001 18:10:49 GMT",
"version": "v1"
},
{
"created": "Wed, 2 May 2001 05:36:36 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Rangamani",
"Mukund",
"",
"Princeton U."
]
] | We study the non-commutative instanton solution proposed in hep-th/0009142 and obtain the spectrum of small oscillations. The spectrum thus obtained is in exact agreement with the spectrum of stringy excitations in a configuration of point like D0 branes sitting on top of D4-branes with a uniform magnetic field turned on in the world-volume of the D4-branes in the Seiberg-Witten decoupling limit. This provides further evidence for the solution of hep-th/0009142 and also enables us recover the ADHM data from the 0-4 string spectrum. Generalizations to higher co-dimension solitons are also discussed. |
hep-th/0612041 | Calin Iuliu Lazaroiu | C. I. Lazaroiu | Graded D-branes and skew-categories | 37 pages | JHEP 0708:088,2007 | 10.1088/1126-6708/2007/08/088 | null | hep-th math.AG | null | I describe extended gradings of open topological field theories in two
dimensions in terms of skew categories, proving a result which alows one to
translate between the formalism of graded open 2d TFTs and equivariant cyclic
categories. As an application of this formalism, I describe the open 2d TFT of
graded D-branes in Landau-Ginzburg models in terms of an equivariant cyclic
structure on the triangulated category of `graded matrix factorizations'
introduced by Orlov. This leads to a specific conjecture for the Serre functor
on the latter, which generalizes results known from the minimal and Calabi-Yau
cases. I also give a description of the open 2d TFT of such models which
manifestly displays the full grading induced by the vector-axial R-symmetry
group.
| [
{
"created": "Tue, 5 Dec 2006 22:32:05 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Dec 2006 08:31:38 GMT",
"version": "v2"
}
] | 2010-10-27 | [
[
"Lazaroiu",
"C. I.",
""
]
] | I describe extended gradings of open topological field theories in two dimensions in terms of skew categories, proving a result which alows one to translate between the formalism of graded open 2d TFTs and equivariant cyclic categories. As an application of this formalism, I describe the open 2d TFT of graded D-branes in Landau-Ginzburg models in terms of an equivariant cyclic structure on the triangulated category of `graded matrix factorizations' introduced by Orlov. This leads to a specific conjecture for the Serre functor on the latter, which generalizes results known from the minimal and Calabi-Yau cases. I also give a description of the open 2d TFT of such models which manifestly displays the full grading induced by the vector-axial R-symmetry group. |
1602.06756 | Harald Dorn | Harald Dorn | Holographic entanglement entropy for hollow cones and banana shaped
regions | 22 pages, 6 figures, comment added after eq. (71), version as
appeared in JHEP | null | 10.1007/JHEP06(2016)052 | HU-EP-16/05 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider banana shaped regions as examples of compact regions, whose
boundary has two conical singularities. Their regularised holographic entropy
is calculated with all divergent as well as finite terms. The coefficient of
the squared logarithmic divergence, also in such a case with internally curved
boundary, agrees with that calculated in the literature for infinite circular
cones with their internally flat boundary. For the otherwise conformally
invariant coefficient of the ordinary logarithmic divergence an anomaly under
exceptional conformal transformations is observed.
The construction of minimal submanifolds, needed for the entanglement entropy
of cones, requires fine-tuning of Cauchy data. Perturbations of such
fine-tuning leads to solutions relevant for hollow cones. The divergent parts
for the entanglement entropy of hollow cones are calculated. Increasing the
difference between the opening angles of their outer and inner boundary, one
finds a transition between connected solutions for small differences to
disconnected solutions for larger ones.
| [
{
"created": "Mon, 22 Feb 2016 12:46:02 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Mar 2016 09:08:57 GMT",
"version": "v2"
},
{
"created": "Fri, 10 Jun 2016 09:39:28 GMT",
"version": "v3"
}
] | 2016-06-29 | [
[
"Dorn",
"Harald",
""
]
] | We consider banana shaped regions as examples of compact regions, whose boundary has two conical singularities. Their regularised holographic entropy is calculated with all divergent as well as finite terms. The coefficient of the squared logarithmic divergence, also in such a case with internally curved boundary, agrees with that calculated in the literature for infinite circular cones with their internally flat boundary. For the otherwise conformally invariant coefficient of the ordinary logarithmic divergence an anomaly under exceptional conformal transformations is observed. The construction of minimal submanifolds, needed for the entanglement entropy of cones, requires fine-tuning of Cauchy data. Perturbations of such fine-tuning leads to solutions relevant for hollow cones. The divergent parts for the entanglement entropy of hollow cones are calculated. Increasing the difference between the opening angles of their outer and inner boundary, one finds a transition between connected solutions for small differences to disconnected solutions for larger ones. |
0811.2197 | Enrico Trincherini | Alberto Nicolis, Riccardo Rattazzi and Enrico Trincherini | The galileon as a local modification of gravity | 35 pages; minor modifications, a typo corrected in eq. (114) | Phys.Rev.D79:064036,2009 | 10.1103/PhysRevD.79.064036 | null | hep-th astro-ph gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the DGP model, the ``self-accelerating'' solution is plagued by a ghost
instability, which makes the solution untenable. This fact as well as all
interesting departures from GR are fully captured by a four-dimensional
effective Lagrangian, valid at distances smaller than the present Hubble scale.
The 4D effective theory involves a relativistic scalar \pi, universally coupled
to matter and with peculiar derivative self-interactions. In this paper, we
study the connection between self-acceleration and the presence of ghosts for a
quite generic class of theories that modify gravity in the infrared. These
theories are defined as those that at distances shorter than cosmological,
reduce to a certain generalization of the DGP 4D effective theory. We argue
that for infrared modifications of GR locally due to a universally coupled
scalar, our generalization is the only one that allows for a robust
implementation of the Vainshtein effect--the decoupling of the scalar from
matter in gravitationally bound systems--necessary to recover agreement with
solar system tests. Our generalization involves an internal ``galilean''
invariance, under which \pi's gradient shifts by a constant. This symmetry
constrains the structure of the \pi Lagrangian so much so that in 4D there
exist only five terms that can yield sizable non-linearities without
introducing ghosts. We show that for such theories in fact there are
``self-accelerating'' deSitter solutions with no ghost-like instabilities. In
the presence of compact sources, these solutions can support spherically
symmetric, Vainshtein-like non-linear perturbations that are also stable
against small fluctuations. [Short version for arxiv]
| [
{
"created": "Thu, 13 Nov 2008 20:58:48 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Nov 2009 10:54:20 GMT",
"version": "v2"
}
] | 2011-03-02 | [
[
"Nicolis",
"Alberto",
""
],
[
"Rattazzi",
"Riccardo",
""
],
[
"Trincherini",
"Enrico",
""
]
] | In the DGP model, the ``self-accelerating'' solution is plagued by a ghost instability, which makes the solution untenable. This fact as well as all interesting departures from GR are fully captured by a four-dimensional effective Lagrangian, valid at distances smaller than the present Hubble scale. The 4D effective theory involves a relativistic scalar \pi, universally coupled to matter and with peculiar derivative self-interactions. In this paper, we study the connection between self-acceleration and the presence of ghosts for a quite generic class of theories that modify gravity in the infrared. These theories are defined as those that at distances shorter than cosmological, reduce to a certain generalization of the DGP 4D effective theory. We argue that for infrared modifications of GR locally due to a universally coupled scalar, our generalization is the only one that allows for a robust implementation of the Vainshtein effect--the decoupling of the scalar from matter in gravitationally bound systems--necessary to recover agreement with solar system tests. Our generalization involves an internal ``galilean'' invariance, under which \pi's gradient shifts by a constant. This symmetry constrains the structure of the \pi Lagrangian so much so that in 4D there exist only five terms that can yield sizable non-linearities without introducing ghosts. We show that for such theories in fact there are ``self-accelerating'' deSitter solutions with no ghost-like instabilities. In the presence of compact sources, these solutions can support spherically symmetric, Vainshtein-like non-linear perturbations that are also stable against small fluctuations. [Short version for arxiv] |
hep-th/9509065 | I. Shapiro | Ilya L. Shapiro (Univ. de Zaragoza, Spain) | Perturbative approach to the two-dimensional quantum gravity | LaTeX, 16 pages, no figures, Talk given at the VI Seminar "Quantum
Gravity" (Institute for Nuclear Research, Moscow, June, 1995) | null | null | null | hep-th | null | The main part of this presentation is a review of the previous original works
on the perturbative covariant approach to the $2$-dimensional quantum gravity.
We discuss the renormalization of the two-dimensional dilaton gravity in a
harmonic gauge, the form of the quantum corrections to the classical potential,
and the conditions of Weyl invariance in a theory of string coupled to $2d$
quantum gravity.
| [
{
"created": "Tue, 12 Sep 1995 18:07:03 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Shapiro",
"Ilya L.",
"",
"Univ. de Zaragoza, Spain"
]
] | The main part of this presentation is a review of the previous original works on the perturbative covariant approach to the $2$-dimensional quantum gravity. We discuss the renormalization of the two-dimensional dilaton gravity in a harmonic gauge, the form of the quantum corrections to the classical potential, and the conditions of Weyl invariance in a theory of string coupled to $2d$ quantum gravity. |
hep-th/9610191 | Christian Schubert | Martin Reuter, Michael G. Schmidt, and Christian Schubert | Constant External Fields in Gauge Theory and the Spin 0, 1/2, 1 Path
Integrals | 54 pages, no figures, Latex, uses dina4.sty, final version (minor
corrections) | Annals Phys. 259 (1997) 313-365 | 10.1006/aphy.1997.5716 | IASSNS-HEP-96/90, DESY 96-225, HD-THEP-96/17, HUB-EP-96/13 | hep-th | null | We investigate the usefulness of the "string-inspired technique" for gauge
theory calculations in a constant external field background. Our approach is
based on Strassler's worldline path integral approach to the Bern-Kosower
formalism, and on the construction of worldline (super--) Green's functions
incorporating external fields as well as internal propagators. The worldline
path integral representation of the gluon loop is reexamined in detail. We
calculate the two-loop effective actions induced for a constant external field
by a scalar and spinor loop, and the corresponding one-loop effective action in
the gluon loop case.
| [
{
"created": "Thu, 24 Oct 1996 21:56:00 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Oct 1996 01:48:43 GMT",
"version": "v2"
},
{
"created": "Sun, 20 Apr 1997 19:13:55 GMT",
"version": "v3"
},
{
"created": "Tue, 7 Oct 1997 21:39:34 GMT",
"version": "v4"
}
] | 2009-10-30 | [
[
"Reuter",
"Martin",
""
],
[
"Schmidt",
"Michael G.",
""
],
[
"Schubert",
"Christian",
""
]
] | We investigate the usefulness of the "string-inspired technique" for gauge theory calculations in a constant external field background. Our approach is based on Strassler's worldline path integral approach to the Bern-Kosower formalism, and on the construction of worldline (super--) Green's functions incorporating external fields as well as internal propagators. The worldline path integral representation of the gluon loop is reexamined in detail. We calculate the two-loop effective actions induced for a constant external field by a scalar and spinor loop, and the corresponding one-loop effective action in the gluon loop case. |
1602.01102 | Anders Johan Andreassen | Anders Andreassen, David Farhi, William Frost, Matthew D. Schwartz | A direct approach to quantum tunneling | 5 pages, 2 figures | Phys. Rev. Lett. 117, 231601 (2016) | 10.1103/PhysRevLett.117.231601 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The decay rates of quasistable states in quantum field theories are usually
calculated using instanton methods. Standard derivations of these methods rely
in a crucial way upon deformations and analytic continuations of the physical
potential, and on the saddle point approximation. While the resulting procedure
can be checked against other semi-classical approaches in some one-dimensional
cases, it is challenging to trace the role of the relevant physical scales, and
any intuitive handle on the precision of the approximations involved are at
best obscure. In this paper, we use a physical definition of the tunneling
probability to derive a formula for the decay rate in both quantum mechanics
and quantum field theory directly from the Minkowski path integral, without
reference to unphysical deformations of the potential. There are numerous
benefits to this approach, from non-perturbative applications to precision
calculations and aesthetic simplicity.
| [
{
"created": "Tue, 2 Feb 2016 21:00:10 GMT",
"version": "v1"
}
] | 2016-12-07 | [
[
"Andreassen",
"Anders",
""
],
[
"Farhi",
"David",
""
],
[
"Frost",
"William",
""
],
[
"Schwartz",
"Matthew D.",
""
]
] | The decay rates of quasistable states in quantum field theories are usually calculated using instanton methods. Standard derivations of these methods rely in a crucial way upon deformations and analytic continuations of the physical potential, and on the saddle point approximation. While the resulting procedure can be checked against other semi-classical approaches in some one-dimensional cases, it is challenging to trace the role of the relevant physical scales, and any intuitive handle on the precision of the approximations involved are at best obscure. In this paper, we use a physical definition of the tunneling probability to derive a formula for the decay rate in both quantum mechanics and quantum field theory directly from the Minkowski path integral, without reference to unphysical deformations of the potential. There are numerous benefits to this approach, from non-perturbative applications to precision calculations and aesthetic simplicity. |
hep-th/9309103 | null | S. Aoyama | Quantization of the topological $\sigma$-model and the master equation
of the BF formalism | 12 pages, Plain TEX, KUL-TF-93/39 | Mod.Phys.Lett. A9 (1994) 491-500 | 10.1142/S0217732394003725 | null | hep-th | null | We quantize the topological $\sigma$-model. The quantum master equation of
the Batalin-Vilkovisky formalism $\Delta_\rho \Psi = 0$ appears as a condition
which eliminates the exact states from the BRST invariant states $\Psi$ defined
by $Q \Psi = 0$. The phase space of the BV formalism is a supermanifold with a
specific symplectic structure, called the fermionic K\"ahler manifold.
| [
{
"created": "Sun, 19 Sep 1993 18:43:46 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Aoyama",
"S.",
""
]
] | We quantize the topological $\sigma$-model. The quantum master equation of the Batalin-Vilkovisky formalism $\Delta_\rho \Psi = 0$ appears as a condition which eliminates the exact states from the BRST invariant states $\Psi$ defined by $Q \Psi = 0$. The phase space of the BV formalism is a supermanifold with a specific symplectic structure, called the fermionic K\"ahler manifold. |
1910.03599 | Francisco J. de Anda | Francisco J. de Anda | Emergent gravity from off-shell energy fixing | 20 pages. v2: added detailed calculations, matches published version | Class.Quant.Grav. 37 (2020) 19, 195012 | 10.1088/1361-6382/aba31a | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Off-shell processes do not preserve the Energy Momentum Tensor (EMT) in QFT.
Fixing the EMT throughout off-shell processes, implies a graviton-like quantum
field to emerge without dynamics. Its dynamics are generated through quantum
corrections. This Fixed Off-Shell Energy Condition (FOSEC) implies the
existence of a linear gravity-like theory, and in special cases the full
Poincar\`e gauge theory. In this work it is shown that imposing the FOSEC in
QFT implies the emergence of a viable quantum theory of gravity.
| [
{
"created": "Tue, 8 Oct 2019 18:00:04 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Jul 2020 22:50:51 GMT",
"version": "v2"
}
] | 2020-09-14 | [
[
"de Anda",
"Francisco J.",
""
]
] | Off-shell processes do not preserve the Energy Momentum Tensor (EMT) in QFT. Fixing the EMT throughout off-shell processes, implies a graviton-like quantum field to emerge without dynamics. Its dynamics are generated through quantum corrections. This Fixed Off-Shell Energy Condition (FOSEC) implies the existence of a linear gravity-like theory, and in special cases the full Poincar\`e gauge theory. In this work it is shown that imposing the FOSEC in QFT implies the emergence of a viable quantum theory of gravity. |
1502.05456 | Fu Chun-E | Chun-E Fu, Yu-Xiao Liu, Heng Guo, and Sheng-Li Zhang | New localization mechanism and Hodge duality for $q-$form field | 19 pages, accepted by Phys. Rev. D | Phys. Rev. D 93, 064007 (2016) | 10.1103/PhysRevD.93.064007 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we investigate the problem of localization and the Hodge
duality for a $q-$form field on a $p-$brane with codimension one. By a general
Kaluza-Klein (KK) decomposition without gauge fixing, we obtain two
Schr\"{o}dinger-like equations for two types of KK modes of the bulk $q-$form
field, which determine the localization and mass spectra of these KK modes. It
is found that there are two types of zero modes (the $0-$level modes): a
$q-$form zero mode and a $(q-1)-$form one, which cannot be localized on the
brane at the same time. For the $n-$level KK modes, there are two interacting
KK modes, a massive $q-$form KK mode and a massless $(q-1)-$form one. By
analyzing gauge invariance of the effective action and choosing a gauge
condition, the $n-$level massive $q-$form KK mode decouples from the $n-$level
massless $(q-1)-$form one. It is also found that the Hodge duality in the bulk
naturally becomes two dualities on the brane. The first one is the Hodge
duality between a $q-$form zero mode and a $(p-q-1)-$form one, or between a
$(q-1)-$form zero mode and a $(p-q)-$form one. The second duality is between
two group KK modes: one is an $n-$level massive $q-$form KK mode with mass
$m_n$ and an $n-$level massless $(q-1)-$form mode; another is an $n-$level
$(p-q)-$form one with the same mass $m_n$ and an $n-$level massless
$(p-q-1)-$form mode. Because of the dualities, the effective field theories on
the brane for the KK modes of the two dual bulk form fields are physically
equivalent.
| [
{
"created": "Thu, 19 Feb 2015 03:04:29 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Apr 2015 05:31:33 GMT",
"version": "v2"
},
{
"created": "Tue, 1 Mar 2016 02:51:05 GMT",
"version": "v3"
}
] | 2016-03-09 | [
[
"Fu",
"Chun-E",
""
],
[
"Liu",
"Yu-Xiao",
""
],
[
"Guo",
"Heng",
""
],
[
"Zhang",
"Sheng-Li",
""
]
] | In this paper, we investigate the problem of localization and the Hodge duality for a $q-$form field on a $p-$brane with codimension one. By a general Kaluza-Klein (KK) decomposition without gauge fixing, we obtain two Schr\"{o}dinger-like equations for two types of KK modes of the bulk $q-$form field, which determine the localization and mass spectra of these KK modes. It is found that there are two types of zero modes (the $0-$level modes): a $q-$form zero mode and a $(q-1)-$form one, which cannot be localized on the brane at the same time. For the $n-$level KK modes, there are two interacting KK modes, a massive $q-$form KK mode and a massless $(q-1)-$form one. By analyzing gauge invariance of the effective action and choosing a gauge condition, the $n-$level massive $q-$form KK mode decouples from the $n-$level massless $(q-1)-$form one. It is also found that the Hodge duality in the bulk naturally becomes two dualities on the brane. The first one is the Hodge duality between a $q-$form zero mode and a $(p-q-1)-$form one, or between a $(q-1)-$form zero mode and a $(p-q)-$form one. The second duality is between two group KK modes: one is an $n-$level massive $q-$form KK mode with mass $m_n$ and an $n-$level massless $(q-1)-$form mode; another is an $n-$level $(p-q)-$form one with the same mass $m_n$ and an $n-$level massless $(p-q-1)-$form mode. Because of the dualities, the effective field theories on the brane for the KK modes of the two dual bulk form fields are physically equivalent. |
2005.01188 | Victor Mishnyakov | V. Mishnyakov, A. Sleptsov, N. Tselousov | A novel symmetry of colored HOMFLY polynomials coming from
$\mathfrak{sl}(N|M)$ superalgebras | null | null | 10.1007/s00220-021-04073-3 | null | hep-th math-ph math.GT math.MP math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a novel symmetry of the colored HOMFLY polynomial. It relates
pairs of polynomials colored by different representations at specific values of
$N$ and generalizes the previously known "tug-the-hook" symmetry of the colored
Alexander polynomial. As we show, the symmetry has a superalgebra origin, which
we discuss qualitatively. Our main focus are the constraints that such a
property imposes on the general group-theoretical structure, namely the
$\mathfrak{sl}(N)$ weight system, arising in the perturbative expansion of the
invariant. Finally, we demonstrate its tight relation to the eigenvalue
conjecture.
| [
{
"created": "Sun, 3 May 2020 21:00:03 GMT",
"version": "v1"
}
] | 2022-02-16 | [
[
"Mishnyakov",
"V.",
""
],
[
"Sleptsov",
"A.",
""
],
[
"Tselousov",
"N.",
""
]
] | We present a novel symmetry of the colored HOMFLY polynomial. It relates pairs of polynomials colored by different representations at specific values of $N$ and generalizes the previously known "tug-the-hook" symmetry of the colored Alexander polynomial. As we show, the symmetry has a superalgebra origin, which we discuss qualitatively. Our main focus are the constraints that such a property imposes on the general group-theoretical structure, namely the $\mathfrak{sl}(N)$ weight system, arising in the perturbative expansion of the invariant. Finally, we demonstrate its tight relation to the eigenvalue conjecture. |
hep-th/0607085 | Seok Kim | Seok Kim, Ki-Myeong Lee | 1/16-BPS Black Holes and Giant Gravitons in the AdS_5 X S^5 Space | 25 pages, no figures, v2: references added, comments added in the
conclusion | JHEP0612:077,2006 | 10.1088/1126-6708/2006/12/077 | KIAS-P06030 | hep-th | null | We explore 1/16-BPS objects of type IIB string theory in AdS_5 * S^5. First,
we consider supersymmetric AdS_5 black holes, which should be 1/16-BPS and have
a characteristic that not all physical charges are independent. We point out
that the Bekenstein-Hawking entropy of these black holes admits a remarkably
simple expression in terms of (dependent) physical charges, which suggests its
microscopic origin via certain Cardy or Hardy-Ramanujan formula. We also note
that there is an upper bound for the angular momenta given by the electric
charges. Second, we construct a class of 1/16-BPS giant graviton solutions in
AdS_5 * S^5 and explore their properties. The solutions are given by the
intersections of AdS_5 * S^5 and complex 3 dimensional holomorphic hyperspaces
in C^{1+5}, the latter being the zero loci of three holomorphic functions which
are homogeneous with suitable weights on coordinates. We investigate examples
of giant gravitons, including their degenerations to tensionless strings.
| [
{
"created": "Thu, 13 Jul 2006 17:09:27 GMT",
"version": "v1"
},
{
"created": "Sat, 29 Jul 2006 09:46:00 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Kim",
"Seok",
""
],
[
"Lee",
"Ki-Myeong",
""
]
] | We explore 1/16-BPS objects of type IIB string theory in AdS_5 * S^5. First, we consider supersymmetric AdS_5 black holes, which should be 1/16-BPS and have a characteristic that not all physical charges are independent. We point out that the Bekenstein-Hawking entropy of these black holes admits a remarkably simple expression in terms of (dependent) physical charges, which suggests its microscopic origin via certain Cardy or Hardy-Ramanujan formula. We also note that there is an upper bound for the angular momenta given by the electric charges. Second, we construct a class of 1/16-BPS giant graviton solutions in AdS_5 * S^5 and explore their properties. The solutions are given by the intersections of AdS_5 * S^5 and complex 3 dimensional holomorphic hyperspaces in C^{1+5}, the latter being the zero loci of three holomorphic functions which are homogeneous with suitable weights on coordinates. We investigate examples of giant gravitons, including their degenerations to tensionless strings. |
2006.12605 | Juraj Tekel | M\'aria \v{S}ubjakov\'a, Juraj Tekel | Fuzzy field theories and related matrix models | 26 pages; Contribution to the Proceedings of the Workshop "Quantum
Geometry, Field Theory and Gravity", Corfu Summer Institute on Elementary
Particle Physics and Gravity, 31 August-25 September 2019, Corfu, Greece | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review the description of scalar field theories on fuzzy spaces by
Hermitian random matrix models. After reminding the reader of the relevant
aspects of the random matrix theory and construction of the fuzzy spaces, we
summarize the most important results for the scalar fields on such spaces. We
then introduce the multi-trace matrix models relevant for the analytical
description of scalar field theories on fuzzy spaces and show to what extent
they do, and to what extent they do not, describe the know phase structure of
$\phi^4$ theory on the fuzzy sphere.
| [
{
"created": "Mon, 22 Jun 2020 20:43:01 GMT",
"version": "v1"
}
] | 2020-06-24 | [
[
"Šubjaková",
"Mária",
""
],
[
"Tekel",
"Juraj",
""
]
] | We review the description of scalar field theories on fuzzy spaces by Hermitian random matrix models. After reminding the reader of the relevant aspects of the random matrix theory and construction of the fuzzy spaces, we summarize the most important results for the scalar fields on such spaces. We then introduce the multi-trace matrix models relevant for the analytical description of scalar field theories on fuzzy spaces and show to what extent they do, and to what extent they do not, describe the know phase structure of $\phi^4$ theory on the fuzzy sphere. |
1102.5725 | Papantonopoulos Eleftherios | Eleftherios Papantonopoulos, Antonios Papazoglou and Minas Tsoukalas | Anisotropic Extra Dimensions | 12 pages, no figures, comments and references added, published
version | Phys.Rev.D84:025016,2011 | 10.1103/PhysRevD.84.025016 | null | hep-th gr-qc | http://creativecommons.org/licenses/by-nc-sa/3.0/ | We consider the scenario where in a five-dimensional theory, the extra
spatial dimension has different scaling than the other four dimensions. We find
background maximally symmetric solutions, when the bulk is filled with a
cosmological constant and at the same time it has a three-brane embedded in it.
These background solutions are reminiscent of Randall-Sundrum warped metrics,
with bulk curvature depending on the parameters of the breaking of
diffeomorphism invariance. Subsequently, we consider the scalar perturbation
sector of the theory and show that it has certain pathologies and the striking
feature that in the limit where the diffeomorphism invariance is restored,
there remain ghost scalar mode(s) in the spectrum.
| [
{
"created": "Mon, 28 Feb 2011 18:16:42 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Jun 2011 18:30:58 GMT",
"version": "v2"
}
] | 2011-08-09 | [
[
"Papantonopoulos",
"Eleftherios",
""
],
[
"Papazoglou",
"Antonios",
""
],
[
"Tsoukalas",
"Minas",
""
]
] | We consider the scenario where in a five-dimensional theory, the extra spatial dimension has different scaling than the other four dimensions. We find background maximally symmetric solutions, when the bulk is filled with a cosmological constant and at the same time it has a three-brane embedded in it. These background solutions are reminiscent of Randall-Sundrum warped metrics, with bulk curvature depending on the parameters of the breaking of diffeomorphism invariance. Subsequently, we consider the scalar perturbation sector of the theory and show that it has certain pathologies and the striking feature that in the limit where the diffeomorphism invariance is restored, there remain ghost scalar mode(s) in the spectrum. |
hep-th/9609224 | Takehisa Fujita | Takehisa Fujita, Makoto Hiramoto and Hidenori Takahashi | Bound states of 1+1 dimensional field theories | 10 pages, Latex, no figure, Talk given at the 13th International
Seminar On High Energy Physics Problems, Dubna, 2-7 September, 1996 | null | null | null | hep-th | null | We discuss the bound states of the massive Thirring model. Here, the periodic
boundary condition equations for the Bethe ansatz solutions are numerically
solved. It is found that the massive Thirring model has only one bound state
and the bound state spectrum as the function of the coupling constant agrees
with that of infinite momentum frame prescription by Fujita and Ogura. Boson
boson states (2p$-$2h states) appear only as the continuum spectrum without
making any bound states.
Further, the finite size correction to the vacuum energy is estimated. The
evaluated central charge is found to be close to unity.
| [
{
"created": "Sat, 28 Sep 1996 11:01:17 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Fujita",
"Takehisa",
""
],
[
"Hiramoto",
"Makoto",
""
],
[
"Takahashi",
"Hidenori",
""
]
] | We discuss the bound states of the massive Thirring model. Here, the periodic boundary condition equations for the Bethe ansatz solutions are numerically solved. It is found that the massive Thirring model has only one bound state and the bound state spectrum as the function of the coupling constant agrees with that of infinite momentum frame prescription by Fujita and Ogura. Boson boson states (2p$-$2h states) appear only as the continuum spectrum without making any bound states. Further, the finite size correction to the vacuum energy is estimated. The evaluated central charge is found to be close to unity. |
hep-th/0610059 | Mark G. Jackson | Mark G. Jackson | A Note on Cosmic (p,q,r) Strings | 4 pages; v2: references added | Phys.Rev.D75:087301,2007 | 10.1103/PhysRevD.75.087301 | FERMILAB-PUB-06-365-A | hep-th | null | The spectrum of $(p,q)$ bound states of F- and D-strings has a distinctive
square-root tension formula that is hoped to be a hallmark of fundamental
cosmic strings. We point out that the Bogomol'nyi-Prasad-Sommerfield (BPS)
bound for vortices in ${\cal N}=2$ supersymmetric Abelian-Higgs models also
takes the square-root form. In contrast to string theory, the most general
supersymmetric field theoretic model allows for $(p,q,r)$ strings, with three
classes of strings rather than two. Unfortunately, we find that there do not
exist BPS solutions except in the trivial case. The issue of whether there
exist non-BPS solutions which may closely resemble the square-root form is left
as an open question.
| [
{
"created": "Thu, 5 Oct 2006 01:47:13 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Apr 2007 12:59:21 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Jackson",
"Mark G.",
""
]
] | The spectrum of $(p,q)$ bound states of F- and D-strings has a distinctive square-root tension formula that is hoped to be a hallmark of fundamental cosmic strings. We point out that the Bogomol'nyi-Prasad-Sommerfield (BPS) bound for vortices in ${\cal N}=2$ supersymmetric Abelian-Higgs models also takes the square-root form. In contrast to string theory, the most general supersymmetric field theoretic model allows for $(p,q,r)$ strings, with three classes of strings rather than two. Unfortunately, we find that there do not exist BPS solutions except in the trivial case. The issue of whether there exist non-BPS solutions which may closely resemble the square-root form is left as an open question. |
2007.04342 | Tomasz Lukowski | Livia Ferro and Tomasz Lukowski | Amplituhedra, and Beyond | 47 pages | null | 10.1088/1751-8121/abd21d | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This review is a primer on recently established geometric methods for
observables in quantum field theories. The main emphasis is on amplituhedra,
i.e. geometries encoding scattering amplitudes for a variety of theories. These
pertain to a broader family of geometries called positive geometries, whose
basics we review. We also describe other members of this family that are
associated with different physical quantities and briefly consider the most
recent developments related to positive geometries. Finally, we discuss the
main open problems in the field. This is a Topical Review invited by Journal of
Physics A: Mathematical and Theoretical.
| [
{
"created": "Wed, 8 Jul 2020 18:01:49 GMT",
"version": "v1"
}
] | 2021-02-03 | [
[
"Ferro",
"Livia",
""
],
[
"Lukowski",
"Tomasz",
""
]
] | This review is a primer on recently established geometric methods for observables in quantum field theories. The main emphasis is on amplituhedra, i.e. geometries encoding scattering amplitudes for a variety of theories. These pertain to a broader family of geometries called positive geometries, whose basics we review. We also describe other members of this family that are associated with different physical quantities and briefly consider the most recent developments related to positive geometries. Finally, we discuss the main open problems in the field. This is a Topical Review invited by Journal of Physics A: Mathematical and Theoretical. |
1412.4780 | Johannes Noller | James Bonifacio, Johannes Noller | On strong coupling scales in (minimal) massive gravity | 19 pages | Phys. Rev. D 92, 104001 (2015) | 10.1103/PhysRevD.92.104001 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Ghost-free massive gravity models generically have a strong coupling scale of
$\Lambda_3 =(M_{\rm Pl} m^2)^{1/3}$. However, for one of these models -
`minimal massive gravity' - it is not clear what this scale is in the subset of
solutions with vanishing vector modes, since there are then no interactions at
the scale $\Lambda_3$. We show that there are always scalar-tensor interactions
at a scale arbitrarily close to $\Lambda_3$ around the Minkowski vacuum
solution. This explicitly confirms and completes previous research establishing
that $\Lambda_3$ effectively is the maximal strong coupling scale for all
ghost-free (dRGT) massive gravity models (on Minkowski). In the process, we
also revisit and clarify the construction of generic Lorentz-invariant massive
gravity models, explicitly constructing an improved non-redundant expansion for
these models.
| [
{
"created": "Mon, 15 Dec 2014 21:00:07 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Nov 2015 18:14:53 GMT",
"version": "v2"
}
] | 2015-11-06 | [
[
"Bonifacio",
"James",
""
],
[
"Noller",
"Johannes",
""
]
] | Ghost-free massive gravity models generically have a strong coupling scale of $\Lambda_3 =(M_{\rm Pl} m^2)^{1/3}$. However, for one of these models - `minimal massive gravity' - it is not clear what this scale is in the subset of solutions with vanishing vector modes, since there are then no interactions at the scale $\Lambda_3$. We show that there are always scalar-tensor interactions at a scale arbitrarily close to $\Lambda_3$ around the Minkowski vacuum solution. This explicitly confirms and completes previous research establishing that $\Lambda_3$ effectively is the maximal strong coupling scale for all ghost-free (dRGT) massive gravity models (on Minkowski). In the process, we also revisit and clarify the construction of generic Lorentz-invariant massive gravity models, explicitly constructing an improved non-redundant expansion for these models. |
2404.17639 | Max Hubner | Noah Braeger, Vivek Chakrabhavi, Jonathan J. Heckman, and Max Hubner | Generalized Symmetries of Non-Supersymmetric Orbifolds | 48 pages + appendices, 21 figures | null | null | null | hep-th math.AT math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We determine generalized symmetries for 4D theories engineered via type II
strings on non-supersymmetric orbifold backgrounds $\mathbb{R}^{3,1} \times
\mathbb{R}^6 / \Gamma$. Probe branes detect generalized symmetries via the
adjacency matrix for fermionic degrees of freedom in an associated quiver gauge
theory. In situations where the tachyons are sequestered away from the boundary
$S^5 / \Gamma$, this exactly matches the result extracted from singular
homology. In situations with an unsequestered tachyon which stretches out to
the boundary, the presence of tachyonic pulses partitions up the space into
several distinct sectors, and the net contribution again matches with the
answer expected via quiver methods. For IIA backgrounds, the presence of a
localized closed string tachyon leads to transitions in the spectrum of states,
generalized symmetries, higher-group symmetries, as well as the level matrix of
the associated symmetry topological field theory (SymTFT). For IIB backgrounds
with a stack of spacetime filling probe D3-branes, the onset of a radiatively
generated potential leads to similar considerations involving scale dependent
transitions in the symmetries of the theory, including structures such as
duality defects / interfaces.
| [
{
"created": "Fri, 26 Apr 2024 18:00:32 GMT",
"version": "v1"
}
] | 2024-04-30 | [
[
"Braeger",
"Noah",
""
],
[
"Chakrabhavi",
"Vivek",
""
],
[
"Heckman",
"Jonathan J.",
""
],
[
"Hubner",
"Max",
""
]
] | We determine generalized symmetries for 4D theories engineered via type II strings on non-supersymmetric orbifold backgrounds $\mathbb{R}^{3,1} \times \mathbb{R}^6 / \Gamma$. Probe branes detect generalized symmetries via the adjacency matrix for fermionic degrees of freedom in an associated quiver gauge theory. In situations where the tachyons are sequestered away from the boundary $S^5 / \Gamma$, this exactly matches the result extracted from singular homology. In situations with an unsequestered tachyon which stretches out to the boundary, the presence of tachyonic pulses partitions up the space into several distinct sectors, and the net contribution again matches with the answer expected via quiver methods. For IIA backgrounds, the presence of a localized closed string tachyon leads to transitions in the spectrum of states, generalized symmetries, higher-group symmetries, as well as the level matrix of the associated symmetry topological field theory (SymTFT). For IIB backgrounds with a stack of spacetime filling probe D3-branes, the onset of a radiatively generated potential leads to similar considerations involving scale dependent transitions in the symmetries of the theory, including structures such as duality defects / interfaces. |
hep-th/9805139 | Amihay Hanany | Amihay Hanany and Angel M. Uranga | Brane Boxes and Branes on Singularities | 55 pages, 13 figures | JHEP 9805:013,1998 | 10.1088/1126-6708/1998/05/013 | IASSNS-HEP-98/45 | hep-th | null | Brane Box Models of intersecting NS and D5 branes are mapped to D3 branes at
C^3/Gamma orbifold singularities and vise versa, in a setup which gives rise to
N=1 supersymmetric gauge theories in four dimensions. The Brane Box Models are
constructed on a two-torus. The map is interpreted as T-duality along the two
directions of the torus. Some Brane Box Models contain NS fivebranes winding
around (p,q) cycles in the torus, and our method provides the geometric T-dual
to such objects. An amusing aspect of the mapping is that T-dual configurations
are calculated using D=4 N=1 field theory data. The mapping to the singularity
picture allows the geometrical interpretation of all the marginal couplings in
finite field theories. This identification is further confirmed using the
AdS/CFT correspondence for orbifold theories. The AdS massless fields coupling
to the marginal operators in the boundary appear as stringy twisted sectors of
S^5/Gamma. The mapping for theories which are non-finite requires the
introduction of fractional D3 branes in the singularity picture.
| [
{
"created": "Thu, 21 May 1998 23:38:54 GMT",
"version": "v1"
}
] | 2010-04-06 | [
[
"Hanany",
"Amihay",
""
],
[
"Uranga",
"Angel M.",
""
]
] | Brane Box Models of intersecting NS and D5 branes are mapped to D3 branes at C^3/Gamma orbifold singularities and vise versa, in a setup which gives rise to N=1 supersymmetric gauge theories in four dimensions. The Brane Box Models are constructed on a two-torus. The map is interpreted as T-duality along the two directions of the torus. Some Brane Box Models contain NS fivebranes winding around (p,q) cycles in the torus, and our method provides the geometric T-dual to such objects. An amusing aspect of the mapping is that T-dual configurations are calculated using D=4 N=1 field theory data. The mapping to the singularity picture allows the geometrical interpretation of all the marginal couplings in finite field theories. This identification is further confirmed using the AdS/CFT correspondence for orbifold theories. The AdS massless fields coupling to the marginal operators in the boundary appear as stringy twisted sectors of S^5/Gamma. The mapping for theories which are non-finite requires the introduction of fractional D3 branes in the singularity picture. |
hep-th/9605123 | Kojima Takeo | T. Kojima and Y.H. Quano | Quantum Knizhnik--Zamolodchikov equation for $U_q (\widehat{ sl_n})$ and
integral formula | 23 pages, LaTEX | J.Phys. A27 (1994) 6807-6826 | 10.1088/0305-4470/27/20/018 | RIMS preprint 972 | hep-th math.QA nlin.SI q-alg solv-int | null | Presented is an integral formula for solutions to the quantum
Knizhnik--Zamolodchikov equation of level $0$ associated with the vector
representation of $U_q (\widehat{ sl_n})$. This formula gives a generalization
of both our previous work for $U_q (\widehat{ sl_2})$ and Smirnov's formula for
form factors of $SU(n)$ chiral Gross-Neveu model.
| [
{
"created": "Fri, 17 May 1996 15:04:47 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Kojima",
"T.",
""
],
[
"Quano",
"Y. H.",
""
]
] | Presented is an integral formula for solutions to the quantum Knizhnik--Zamolodchikov equation of level $0$ associated with the vector representation of $U_q (\widehat{ sl_n})$. This formula gives a generalization of both our previous work for $U_q (\widehat{ sl_2})$ and Smirnov's formula for form factors of $SU(n)$ chiral Gross-Neveu model. |
2009.07290 | Francisco Rojas | Hernan A. Gonzalez, Andrea Puhm and Francisco Rojas | Loops on the Celestial Sphere | 18 pages. Version 2: typos corrected, comments added | Phys. Rev. D 102, 126027 (2020) | 10.1103/PhysRevD.102.126027 | CPHT-RR054.082020 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the effect of loop corrections to conformal correlators on the
celestial sphere at null infinity. We first analyze finite one-loop celestial
amplitudes in pure Yang-Mills theory and Einstein gravity. We then turn to our
main focus: infrared divergent loop amplitudes in planar $\mathcal{N}=4$ super
Yang-Mills theory. We compute the celestial one-loop amplitude in dimensional
regularization and show that it can be recast as an operator acting on the
celestial tree-level amplitude. This extends to any loop order and the
re-summation of all planar loops enables us to write down an expression for the
all-loop celestial amplitude. Finally, we show that the exponentiated all-loop
expression given by the BDS formula gets promoted on the celestial sphere to an
operator acting on the tree-level conformal correlation function, thus
yielding, the celestial BDS formula.
| [
{
"created": "Tue, 15 Sep 2020 18:00:03 GMT",
"version": "v1"
},
{
"created": "Sun, 18 Oct 2020 01:45:28 GMT",
"version": "v2"
}
] | 2021-01-04 | [
[
"Gonzalez",
"Hernan A.",
""
],
[
"Puhm",
"Andrea",
""
],
[
"Rojas",
"Francisco",
""
]
] | We study the effect of loop corrections to conformal correlators on the celestial sphere at null infinity. We first analyze finite one-loop celestial amplitudes in pure Yang-Mills theory and Einstein gravity. We then turn to our main focus: infrared divergent loop amplitudes in planar $\mathcal{N}=4$ super Yang-Mills theory. We compute the celestial one-loop amplitude in dimensional regularization and show that it can be recast as an operator acting on the celestial tree-level amplitude. This extends to any loop order and the re-summation of all planar loops enables us to write down an expression for the all-loop celestial amplitude. Finally, we show that the exponentiated all-loop expression given by the BDS formula gets promoted on the celestial sphere to an operator acting on the tree-level conformal correlation function, thus yielding, the celestial BDS formula. |
1409.8180 | Daniel Roberts | Daniel A. Roberts, Douglas Stanford, Leonard Susskind | Localized shocks | 23 pages plus appendices, 12 figures. v2: minor error in Appendix B
corrected. v3: figure added to the introduction comparing the butterfly
effect cone with the standard light cone | null | 10.1007/JHEP03(2015)051 | MIT-CTP/4594; SU-ITP-14/20 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study products of precursors of spatially local operators,
$W_{x_{n}}(t_{n}) ... W_{x_1}(t_1)$, where $W_x(t) = e^{-iHt} W_x e^{iHt}$.
Using chaotic spin-chain numerics and gauge/gravity duality, we show that a
single precursor fills a spatial region that grows linearly in $t$. In a
lattice system, products of such operators can be represented using tensor
networks. In gauge/gravity duality, they are related to Einstein-Rosen bridges
supported by localized shock waves. We find a geometrical correspondence
between these two descriptions, generalizing earlier work in the spatially
homogeneous case.
| [
{
"created": "Mon, 29 Sep 2014 16:32:09 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Feb 2015 16:36:25 GMT",
"version": "v2"
},
{
"created": "Wed, 25 May 2016 17:18:46 GMT",
"version": "v3"
}
] | 2016-05-26 | [
[
"Roberts",
"Daniel A.",
""
],
[
"Stanford",
"Douglas",
""
],
[
"Susskind",
"Leonard",
""
]
] | We study products of precursors of spatially local operators, $W_{x_{n}}(t_{n}) ... W_{x_1}(t_1)$, where $W_x(t) = e^{-iHt} W_x e^{iHt}$. Using chaotic spin-chain numerics and gauge/gravity duality, we show that a single precursor fills a spatial region that grows linearly in $t$. In a lattice system, products of such operators can be represented using tensor networks. In gauge/gravity duality, they are related to Einstein-Rosen bridges supported by localized shock waves. We find a geometrical correspondence between these two descriptions, generalizing earlier work in the spatially homogeneous case. |
hep-th/0410059 | Marek Rogatko | Marek Rogatko | Uniqueness theorem for stationary black hole solutions of \sigma-models
in five dimensions | 6 pages, Revtex, to be published in Phys.Rev.D15 | Phys.Rev.D70:084025,2004 | 10.1103/PhysRevD.70.084025 | null | hep-th gr-qc | null | We prove the uniqueness theorem for stationary self-gravitating non-linear
\sigma-models in five-dimensional spacetime. We show that the Myers-Perry
vacuum Kerr spacetime is the only maximally extended, stationary, axisymmetric,
asymptotically flat solution having the regular rotating event horizon with
constant mapping.
| [
{
"created": "Wed, 6 Oct 2004 09:40:52 GMT",
"version": "v1"
}
] | 2010-11-19 | [
[
"Rogatko",
"Marek",
""
]
] | We prove the uniqueness theorem for stationary self-gravitating non-linear \sigma-models in five-dimensional spacetime. We show that the Myers-Perry vacuum Kerr spacetime is the only maximally extended, stationary, axisymmetric, asymptotically flat solution having the regular rotating event horizon with constant mapping. |
2205.12320 | Roberto Zucchini | Roberto Zucchini | Quantum field theoretic representation of Wilson surfaces: I higher
coadjoint orbit theory | 104 pages, no figures | null | 10.1007/JHEP10(2022)132 | DIFA UNIBO/22 | hep-th math-ph math.DG math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This is the first of a series of two papers devoted to the partition function
realization of Wilson surfaces in strict higher gauge theory. A higher version
of the Kirillov-Kostant-Souriau theory of coadjoint orbits is presented based
on the derived geometric framework, which has shown its usefulness in
4--dimensional higher Chern--Simons theory. An original notion of derived
coadjoint orbit is put forward. A theory of derived unitary line bundles and
Poisson structures on regular derived orbits is constructed. The proper derived
counterpart of the Bohr--Sommerfeld quantization condition is then identified.
A version of derived prequantization is proposed. The difficulties hindering a
full quantization, shared with other approaches to higher quantization, are
pinpointed and a possible way--out is suggested. The theory we elaborate
provide the geometric underpinning for the field theoretic constructions of the
companion paper.
| [
{
"created": "Tue, 24 May 2022 19:03:43 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Aug 2022 18:40:24 GMT",
"version": "v2"
}
] | 2022-11-09 | [
[
"Zucchini",
"Roberto",
""
]
] | This is the first of a series of two papers devoted to the partition function realization of Wilson surfaces in strict higher gauge theory. A higher version of the Kirillov-Kostant-Souriau theory of coadjoint orbits is presented based on the derived geometric framework, which has shown its usefulness in 4--dimensional higher Chern--Simons theory. An original notion of derived coadjoint orbit is put forward. A theory of derived unitary line bundles and Poisson structures on regular derived orbits is constructed. The proper derived counterpart of the Bohr--Sommerfeld quantization condition is then identified. A version of derived prequantization is proposed. The difficulties hindering a full quantization, shared with other approaches to higher quantization, are pinpointed and a possible way--out is suggested. The theory we elaborate provide the geometric underpinning for the field theoretic constructions of the companion paper. |
1608.06481 | Martin Heinze | G. Arutyunov, M. Heinze and D. Medina-Rincon | Superintegrability of Geodesic Motion on the Sausage Model | 30 pages, 4 figures; v2: added results for geodesic motion on the
mirror geometry of S^2, matches published version | J.Phys. A50 (2017) no.24, 244002 | 10.1088/1751-8121/aa9314 | NORDITA-2016-93, UUITP-16/16, ZMP-HH/16-20 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Reduction of the $\eta$-deformed sigma model on ${\rm AdS}_5 \times {\rm
S}^5$ to the two-dimensional squashed sphere $({\rm S}^2)_{\eta}$ can be viewed
as a special case of the Fateev sausage model where the coupling constant $\nu$
is imaginary. We show that geodesic motion in this model is described by a
certain superintegrable mechanical system with four-dimensional phase space.
This is done by means of explicitly constructing three integrals of motion
which satisfy the $\mathfrak{sl}(2)$ Poisson algebra relations, albeit being
non-polynomial in momenta. Further, we find a canonical transformation which
transforms the Hamiltonian of this mechanical system to the one describing the
geodesic motion on the usual two-sphere. By inverting this transformation we
map geodesics on this auxiliary two-sphere back to the sausage model. This
paper is a tribute to the memory of Prof. Petr Kulish.
| [
{
"created": "Tue, 23 Aug 2016 12:28:29 GMT",
"version": "v1"
},
{
"created": "Mon, 22 May 2017 20:46:33 GMT",
"version": "v2"
}
] | 2017-12-27 | [
[
"Arutyunov",
"G.",
""
],
[
"Heinze",
"M.",
""
],
[
"Medina-Rincon",
"D.",
""
]
] | Reduction of the $\eta$-deformed sigma model on ${\rm AdS}_5 \times {\rm S}^5$ to the two-dimensional squashed sphere $({\rm S}^2)_{\eta}$ can be viewed as a special case of the Fateev sausage model where the coupling constant $\nu$ is imaginary. We show that geodesic motion in this model is described by a certain superintegrable mechanical system with four-dimensional phase space. This is done by means of explicitly constructing three integrals of motion which satisfy the $\mathfrak{sl}(2)$ Poisson algebra relations, albeit being non-polynomial in momenta. Further, we find a canonical transformation which transforms the Hamiltonian of this mechanical system to the one describing the geodesic motion on the usual two-sphere. By inverting this transformation we map geodesics on this auxiliary two-sphere back to the sausage model. This paper is a tribute to the memory of Prof. Petr Kulish. |
hep-th/0102192 | Takao Suyama | Takao Suyama | Tachyon Condensation and Spectrum of Strings on D-branes | 11 pages, references added | Prog.Theor.Phys. 106 (2001) 1017-1025 | 10.1143/PTP.106.1017 | OU-HET 380 | hep-th | null | We investigate spectrum of open strings on D-branes after tachyon
condensation in bosonic string theory. We calculate 1-loop partition function
of the string and show that its limiting forms coincide with partition
functions of open strings with different boundary conditions.
| [
{
"created": "Tue, 27 Feb 2001 13:37:58 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Mar 2001 06:29:21 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Suyama",
"Takao",
""
]
] | We investigate spectrum of open strings on D-branes after tachyon condensation in bosonic string theory. We calculate 1-loop partition function of the string and show that its limiting forms coincide with partition functions of open strings with different boundary conditions. |
hep-th/9307065 | Shinsuke Nishigaki | S. Higuchi, C. Itoi, S. Nishigaki and N. Sakai | Renormalization Group Approach to Discretized Gravity | 10 pages, LaTeX, TIT/HEP--227, NUP-A-93-12 | null | null | null | hep-th | null | We summarize our renormalization group approach for the vector model as well
as the matrix model which are the discretized quantum gravity in one- and
two-dimensional spacetime. A difference equation is obtained which relates free
energies for neighboring values of $N$. The reparametrization freedom in field
space is formulated by means of the loop equation. The reparametrization
identities reduce the flow in the infinite dimensional coupling constant space
to that in finite dimensions. The matrix model gives a nonlinear differential
equation as an effective renormalization group equation. The fixed point and
the susceptibility exponents can be determined even for the matrix models in
spite of the nonlinearity. They agree with the exact result.
| [
{
"created": "Fri, 9 Jul 1993 13:16:38 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Higuchi",
"S.",
""
],
[
"Itoi",
"C.",
""
],
[
"Nishigaki",
"S.",
""
],
[
"Sakai",
"N.",
""
]
] | We summarize our renormalization group approach for the vector model as well as the matrix model which are the discretized quantum gravity in one- and two-dimensional spacetime. A difference equation is obtained which relates free energies for neighboring values of $N$. The reparametrization freedom in field space is formulated by means of the loop equation. The reparametrization identities reduce the flow in the infinite dimensional coupling constant space to that in finite dimensions. The matrix model gives a nonlinear differential equation as an effective renormalization group equation. The fixed point and the susceptibility exponents can be determined even for the matrix models in spite of the nonlinearity. They agree with the exact result. |
hep-th/0208170 | Boris Kosyakov | Andrew E. Chubykalo, Augusto Espinoza, and B. P. Kosyakov | No-go theorem for the classical Maxwell-Lorentz electrodynamics in
odd-dimensional worlds | V1 LaTeX, 4 pages, V2. The title is changed, two new authors appear
for the reason explained at the end of the text, the main result remains
unchanged, new comments are added, references are renewed | null | null | null | hep-th physics.class-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | If the conventional Maxwell--Lorentz formulation of classical electrodynamics
is adopted in a flat spacetime of arbitrary odd dimension, then the retarded
vector potential $A^\mu$ generated by a point charge turns out to be pure
gauge, $A^\mu=\partial^\mu\chi$. By Gauss' law, the charge shows up as zero.
The classical electromagnetic coupling is thus missing from odd-dimensional
worlds. If the action is augmented by the addition of the Chern--Simons term,
then the classical interaction picture in the three-dimensional world becomes
nontrivial.
| [
{
"created": "Fri, 23 Aug 2002 10:44:01 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Oct 2011 08:36:33 GMT",
"version": "v2"
}
] | 2011-10-26 | [
[
"Chubykalo",
"Andrew E.",
""
],
[
"Espinoza",
"Augusto",
""
],
[
"Kosyakov",
"B. P.",
""
]
] | If the conventional Maxwell--Lorentz formulation of classical electrodynamics is adopted in a flat spacetime of arbitrary odd dimension, then the retarded vector potential $A^\mu$ generated by a point charge turns out to be pure gauge, $A^\mu=\partial^\mu\chi$. By Gauss' law, the charge shows up as zero. The classical electromagnetic coupling is thus missing from odd-dimensional worlds. If the action is augmented by the addition of the Chern--Simons term, then the classical interaction picture in the three-dimensional world becomes nontrivial. |
hep-th/9508014 | Vipul Periwal | Vipul Periwal | Anisotropy beta functions | uuencoded ps file, 6 pages | Phys.Rev. D52 (1995) 7328-7330 | 10.1103/PhysRevD.52.7328 | PUPT-1526 | hep-th | null | The flow of couplings under anisotropic scaling of momenta is computed in
$\phi^3$ theory in 6 dimensions. It is shown that the coupling decreases as
momenta of two of the particles become large, keeping the third momentum fixed,
but at a slower rate than the decrease of the coupling if all three momenta
become large simultaneously. This effect serves as a simple test of effective
theories of high energy scattering, since such theories should reproduce these
deviations from the usual logarithmic scale dependence.
| [
{
"created": "Thu, 3 Aug 1995 20:23:16 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Periwal",
"Vipul",
""
]
] | The flow of couplings under anisotropic scaling of momenta is computed in $\phi^3$ theory in 6 dimensions. It is shown that the coupling decreases as momenta of two of the particles become large, keeping the third momentum fixed, but at a slower rate than the decrease of the coupling if all three momenta become large simultaneously. This effect serves as a simple test of effective theories of high energy scattering, since such theories should reproduce these deviations from the usual logarithmic scale dependence. |
hep-th/9612225 | Vadim Zeitlin | Vadim Zeitlin (Lebedev Physical Institute) | Comment on "Dynamical Chern-Simons term generation at finite density"
and "Chern-Simons term at finite density" | 2 pages, LaTeX | null | null | FIAN/TD/96-27 | hep-th | null | We comment on the calculation of the Chern-Simons coefficient in
(2+1)-dimensional gauge theories at finite chemical potential made by
A.N.Sissakian, O.Yu.Shevchenko and S.B.Solganik (hep-th/9608159 and
hep-th/9612140).
| [
{
"created": "Mon, 23 Dec 1996 12:33:54 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Zeitlin",
"Vadim",
"",
"Lebedev Physical Institute"
]
] | We comment on the calculation of the Chern-Simons coefficient in (2+1)-dimensional gauge theories at finite chemical potential made by A.N.Sissakian, O.Yu.Shevchenko and S.B.Solganik (hep-th/9608159 and hep-th/9612140). |
hep-th/0403276 | Manoel Messias Ferreira Junior | Manoel M. Ferreira Jr (UFMA) | Low-energy Moller scattering in a Maxwell-Chern-Simons Lorentz-violating
planar model | 9 pages, 1 figure, latex style | Phys.Rev. D70 (2004) 045013 | 10.1103/PhysRevD.70.045013 | null | hep-th | null | One starts from a planar Maxwell-Chern-Simons model endowed with a
Lorentz-violating term. The Dirac sector is introduced exhibiting a Yukawa and
a minimal coupling with the scalar scalar and the gauge fields, respectively.
One then evaluates the electron-electron interaction as the Fourier transform
of the Moller scattering amplitude carried out in the non-relativistic limit.
In the case of a purely time-like background, the interaction potential can be
exactly solved, exhibiting a typical massless behavior far from the origin. The
scalar interaction potential is always attractive whereas the gauge
intermediation may also present attraction even when considered in the presence
of the centrifugal barrier and the A^{2} term. Such a result is a strong
indication that electron-electron bound states may appear in this theoretical
framework.
| [
{
"created": "Mon, 29 Mar 2004 03:51:27 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Ferreira",
"Manoel M.",
"Jr",
"UFMA"
]
] | One starts from a planar Maxwell-Chern-Simons model endowed with a Lorentz-violating term. The Dirac sector is introduced exhibiting a Yukawa and a minimal coupling with the scalar scalar and the gauge fields, respectively. One then evaluates the electron-electron interaction as the Fourier transform of the Moller scattering amplitude carried out in the non-relativistic limit. In the case of a purely time-like background, the interaction potential can be exactly solved, exhibiting a typical massless behavior far from the origin. The scalar interaction potential is always attractive whereas the gauge intermediation may also present attraction even when considered in the presence of the centrifugal barrier and the A^{2} term. Such a result is a strong indication that electron-electron bound states may appear in this theoretical framework. |
hep-th/0402145 | Hrvoje Nikolic | H. Nikolic | Black holes radiate but do not evaporate | 5 pages, Honorable Mention of the Gravity Research Foundation 2005
essay competition; version to appear in Int. J. Mod. Phys. D | Int.J.Mod.Phys.D14:2257-2261,2005 | 10.1142/S0218271805007796 | null | hep-th gr-qc quant-ph | null | During the black hole radiation, the interior contains all the matter of the
initial black hole, together with the negative energy quanta entangled with the
exterior Hawking radiation. Neither the initial matter nor the negative energy
quanta evaporate from the black hole interior. Therefore, the information is
not lost during the radiation. The black hole mass eventually drops to zero in
semiclassical gravity, but this semiclassical state has an infinite temperature
and still contains all the initial matter together with the negative energy
entangled with the exterior radiation.
| [
{
"created": "Thu, 19 Feb 2004 10:58:25 GMT",
"version": "v1"
},
{
"created": "Thu, 12 May 2005 09:05:02 GMT",
"version": "v2"
},
{
"created": "Thu, 18 Aug 2005 09:25:54 GMT",
"version": "v3"
}
] | 2014-11-18 | [
[
"Nikolic",
"H.",
""
]
] | During the black hole radiation, the interior contains all the matter of the initial black hole, together with the negative energy quanta entangled with the exterior Hawking radiation. Neither the initial matter nor the negative energy quanta evaporate from the black hole interior. Therefore, the information is not lost during the radiation. The black hole mass eventually drops to zero in semiclassical gravity, but this semiclassical state has an infinite temperature and still contains all the initial matter together with the negative energy entangled with the exterior radiation. |
2012.04877 | Aninda Sinha | Aninda Sinha, Ahmadullah Zahed | Crossing Symmetric Dispersion Relations in QFTs | v3: 6+7 pages, 4 figures, Feynman block discussion added, version to
appear in Physical Review Letters | Phys. Rev. Lett. 126, 181601 (2021) | 10.1103/PhysRevLett.126.181601 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For 2-2 scattering in quantum field theories, the usual fixed $t$ dispersion
relation exhibits only two-channel symmetry. This paper considers a crossing
symmetric dispersion relation, reviving certain old ideas in the 1970s. Rather
than the fixed $t$ dispersion relation, this needs a dispersion relation in a
different variable $z$, which is related to the Mandelstam invariants $s,t,u$
via a parametric cubic relation making the crossing symmetry in the complex $z$
plane a geometric rotation. The resulting dispersion is manifestly
three-channel crossing symmetric. We give simple derivations of certain known
positivity conditions for effective field theories, including the null
constraints, which lead to two sided bounds and derive a general set of new
non-perturbative inequalities. We show how these inequalities enable us to
locate the first massive string state from a low energy expansion of the four
dilaton amplitude in type II string theory. We also show how a generalized
(numerical) Froissart bound, valid for all energies, is obtained from this
approach.
| [
{
"created": "Wed, 9 Dec 2020 05:53:56 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Feb 2021 08:16:57 GMT",
"version": "v2"
},
{
"created": "Thu, 15 Apr 2021 13:21:18 GMT",
"version": "v3"
}
] | 2021-05-12 | [
[
"Sinha",
"Aninda",
""
],
[
"Zahed",
"Ahmadullah",
""
]
] | For 2-2 scattering in quantum field theories, the usual fixed $t$ dispersion relation exhibits only two-channel symmetry. This paper considers a crossing symmetric dispersion relation, reviving certain old ideas in the 1970s. Rather than the fixed $t$ dispersion relation, this needs a dispersion relation in a different variable $z$, which is related to the Mandelstam invariants $s,t,u$ via a parametric cubic relation making the crossing symmetry in the complex $z$ plane a geometric rotation. The resulting dispersion is manifestly three-channel crossing symmetric. We give simple derivations of certain known positivity conditions for effective field theories, including the null constraints, which lead to two sided bounds and derive a general set of new non-perturbative inequalities. We show how these inequalities enable us to locate the first massive string state from a low energy expansion of the four dilaton amplitude in type II string theory. We also show how a generalized (numerical) Froissart bound, valid for all energies, is obtained from this approach. |
2006.16188 | Piotr Kotko | Hiren Kakkad, Piotr Kotko, Anna Stasto | Exploring straight infinite Wilson lines in the Self Dual and the MHV
Lagrangians | 26 pages, 3 figures | null | 10.1103/PhysRevD.102.094026 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the appearance of straight infinite Wilson lines lying on the
self-dual plane in the context of the Self Dual sector of the Yang Mills theory
and in a connection to the Lagrangian implementing the MHV vertices (MHV
Lagrangian) according to the Cachazo-Svrcek-Witten method. It was already
recognized in the past by two of the authors, that such Wilson line functional
provides the field transformation of positive helicity fields between the
Yang-Mills theory on the light-cone and the MHV Lagrangian. Here we discuss in
detail the connection to the Self Dual sector and we provide a new insight into
the solution for the minus helicity field transformation, which can be
expressed in terms of a functional derivative of the straight infinite Wilson
line on the self-dual plane.
| [
{
"created": "Mon, 29 Jun 2020 16:56:16 GMT",
"version": "v1"
}
] | 2020-12-30 | [
[
"Kakkad",
"Hiren",
""
],
[
"Kotko",
"Piotr",
""
],
[
"Stasto",
"Anna",
""
]
] | We investigate the appearance of straight infinite Wilson lines lying on the self-dual plane in the context of the Self Dual sector of the Yang Mills theory and in a connection to the Lagrangian implementing the MHV vertices (MHV Lagrangian) according to the Cachazo-Svrcek-Witten method. It was already recognized in the past by two of the authors, that such Wilson line functional provides the field transformation of positive helicity fields between the Yang-Mills theory on the light-cone and the MHV Lagrangian. Here we discuss in detail the connection to the Self Dual sector and we provide a new insight into the solution for the minus helicity field transformation, which can be expressed in terms of a functional derivative of the straight infinite Wilson line on the self-dual plane. |
hep-th/0007183 | L. L. Salcedo | C. Garc\'ia-Recio and L.L. Salcedo | Gauge invariant derivative expansion of the effective action at finite
temperature and density and the scalar field in 2+1 dimensions | 34 pages, REVTEX, no figures. Further comments added | Phys.Rev. D63 (2001) 045016 | 10.1103/PhysRevD.63.045016 | UG-DFM-3-2000 | hep-th | null | A method is presented for the computation of the one-loop effective action at
finite temperature and density. The method is based on an expansion in the
number of spatial covariant derivatives. It applies to general background field
configurations with arbitrary internal symmetry group and space-time
dependence. Full invariance under small and large gauge transformations is
preserved without assuming stationary or Abelian fields nor fixing the gauge.
The method is applied to the computation of the effective action of spin zero
particles in 2+1 dimensions at finite temperature and density and in presence
of background gauge fields. The calculation is carried out through second order
in the number of spatial covariant derivatives. Some limiting cases are worked
out.
| [
{
"created": "Mon, 24 Jul 2000 09:04:39 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Oct 2000 09:20:54 GMT",
"version": "v2"
}
] | 2016-08-15 | [
[
"García-Recio",
"C.",
""
],
[
"Salcedo",
"L. L.",
""
]
] | A method is presented for the computation of the one-loop effective action at finite temperature and density. The method is based on an expansion in the number of spatial covariant derivatives. It applies to general background field configurations with arbitrary internal symmetry group and space-time dependence. Full invariance under small and large gauge transformations is preserved without assuming stationary or Abelian fields nor fixing the gauge. The method is applied to the computation of the effective action of spin zero particles in 2+1 dimensions at finite temperature and density and in presence of background gauge fields. The calculation is carried out through second order in the number of spatial covariant derivatives. Some limiting cases are worked out. |
1709.06024 | Gabriele Tartaglino-Mazzucchelli | Thomas Hertog, Gabriele Tartaglino-Mazzucchelli, Thomas Van Riet,
Gerben Venken | Supersymmetric dS/CFT | V2: references and comments added, typos corrected, version published
in JHEP; 27 pages, 3 figures, 1 table | null | 10.1007/JHEP02(2018)024 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We put forward new explicit realisations of dS/CFT that relate ${\cal N}=2$
supersymmetric Euclidean vector models with reversed spin-statistics in three
dimensions to specific supersymmetric Vasiliev theories in four-dimensional de
Sitter space. The partition function of the free supersymmetric vector model
deformed by a range of low spin deformations that preserve supersymmetry
appears to specify a well-defined wave function with asymptotic de Sitter
boundary conditions in the bulk. In particular we find the wave function is
globally peaked at undeformed de Sitter space, with a low amplitude for strong
deformations. This suggests that supersymmetric de Sitter space is stable in
higher-spin gravity and in particular free from ghosts. We speculate this is a
limiting case of the de Sitter realizations in exotic string theories.
| [
{
"created": "Mon, 18 Sep 2017 16:17:38 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Feb 2018 13:43:58 GMT",
"version": "v2"
}
] | 2018-02-12 | [
[
"Hertog",
"Thomas",
""
],
[
"Tartaglino-Mazzucchelli",
"Gabriele",
""
],
[
"Van Riet",
"Thomas",
""
],
[
"Venken",
"Gerben",
""
]
] | We put forward new explicit realisations of dS/CFT that relate ${\cal N}=2$ supersymmetric Euclidean vector models with reversed spin-statistics in three dimensions to specific supersymmetric Vasiliev theories in four-dimensional de Sitter space. The partition function of the free supersymmetric vector model deformed by a range of low spin deformations that preserve supersymmetry appears to specify a well-defined wave function with asymptotic de Sitter boundary conditions in the bulk. In particular we find the wave function is globally peaked at undeformed de Sitter space, with a low amplitude for strong deformations. This suggests that supersymmetric de Sitter space is stable in higher-spin gravity and in particular free from ghosts. We speculate this is a limiting case of the de Sitter realizations in exotic string theories. |
2008.07271 | Md Abhishek | Md. Abhishek, Subramanya Hegde, Dileep P. Jatkar, Arnab Priya Saha | Double Soft Theorem for Generalised Biadjoint Scalar Amplitudes | Some references are added. Elaborating the introduction and
discussion sections | SciPost Phys. 10, 036 (2021) | 10.21468/SciPostPhys.10.2.036 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study double soft theorem for the generalised biadjoint scalar field
theory whose amplitudes are computed in terms of punctures on
$\mathbb{CP}^{k-1}$. We find that whenever the double soft limit does not
decouple into a product of single soft factors, the leading contributions to
the double soft theorems come from the degenerate solutions, otherwise the non
degenerate solutions dominate. Our analysis uses the regular solutions to the
scattering equations. Most of the results are presented for $k=3$ but we show
how they generalise to arbitrary $k$. We have explicit analytic results, for
any $k$, in the case when soft external states are adjacent.
| [
{
"created": "Mon, 17 Aug 2020 13:00:07 GMT",
"version": "v1"
},
{
"created": "Sat, 10 Oct 2020 10:59:16 GMT",
"version": "v2"
},
{
"created": "Sat, 23 Jan 2021 08:54:37 GMT",
"version": "v3"
}
] | 2021-02-17 | [
[
"Abhishek",
"Md.",
""
],
[
"Hegde",
"Subramanya",
""
],
[
"Jatkar",
"Dileep P.",
""
],
[
"Saha",
"Arnab Priya",
""
]
] | We study double soft theorem for the generalised biadjoint scalar field theory whose amplitudes are computed in terms of punctures on $\mathbb{CP}^{k-1}$. We find that whenever the double soft limit does not decouple into a product of single soft factors, the leading contributions to the double soft theorems come from the degenerate solutions, otherwise the non degenerate solutions dominate. Our analysis uses the regular solutions to the scattering equations. Most of the results are presented for $k=3$ but we show how they generalise to arbitrary $k$. We have explicit analytic results, for any $k$, in the case when soft external states are adjacent. |
hep-th/9801177 | Gravity Research Group | Alexander Burinskii (NSI Russian Academy of Sciences) and Giulio Magli
(Dipartimento di Matematica del Politecnico di Milano) | Behaviour of Singularities of the Kerr-Newman and the Kerr-Sen Solutions
by Arbitrary Boost | 18 pages, AMS-tex, report at the International Workshop on "Internal
Structure of Black Holes and Singularities", (Israel, Haifa, June-July 1997,
submitted to the Proceedings) e-mail:grg@ibrae.ac.ru, magli@mate.polimi.it | Annals Israel Phys.Soc.13:296-310,1997 | null | null | hep-th gr-qc | null | Behaviour of singularities of the rotating black holes under an arbitrary
boost is considered on the basis of a complex representation of the Kerr
theorem. We give a simple algorithm allowing to get explicit expressions for
the metric and the position of the singularities for arbitrary direction and
magnitude of the boost, including the ultrarelativistic case. The
non-smoothness of the ultrarelativistic limit is discussed. The Kerr-Sen
BH-solution to low energy string theory is also analyzed.
| [
{
"created": "Tue, 27 Jan 1998 09:46:13 GMT",
"version": "v1"
}
] | 2011-04-15 | [
[
"Burinskii",
"Alexander",
"",
"NSI Russian Academy of Sciences"
],
[
"Magli",
"Giulio",
"",
"Dipartimento di Matematica del Politecnico di Milano"
]
] | Behaviour of singularities of the rotating black holes under an arbitrary boost is considered on the basis of a complex representation of the Kerr theorem. We give a simple algorithm allowing to get explicit expressions for the metric and the position of the singularities for arbitrary direction and magnitude of the boost, including the ultrarelativistic case. The non-smoothness of the ultrarelativistic limit is discussed. The Kerr-Sen BH-solution to low energy string theory is also analyzed. |
hep-th/9908112 | null | Soon-Tae Hong, Won Tae Kim, and Young-Jai Park | Improved BFT quantization of O(3) nonlinear sigma model | 17 pages, revtex, to appear in Phys. Rev. D | Phys.Rev. D60 (1999) 125005 | 10.1103/PhysRevD.60.125005 | SOGANG-HEP 257/99 | hep-th | null | We newly apply the improved Batalin-Fradkin-Tyutin(BFT) Hamiltonian method to
the O(3) nonlinear sigma model, and directly obtain the compact form of
nontrivial first class Hamiltonian by introducing the BFT physical fields.
Furthermore, following the BFV formalism, we derive the BRST invariant gauge
fixed Lagrangian through the standard path-integral procedure. Finally, by
introducing collective coordinates, we also study a semi-classical quantization
of soliton background to conclude that the spectrum of zero modes are unchanged
through the BFT procedure.
| [
{
"created": "Tue, 17 Aug 1999 06:10:10 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Hong",
"Soon-Tae",
""
],
[
"Kim",
"Won Tae",
""
],
[
"Park",
"Young-Jai",
""
]
] | We newly apply the improved Batalin-Fradkin-Tyutin(BFT) Hamiltonian method to the O(3) nonlinear sigma model, and directly obtain the compact form of nontrivial first class Hamiltonian by introducing the BFT physical fields. Furthermore, following the BFV formalism, we derive the BRST invariant gauge fixed Lagrangian through the standard path-integral procedure. Finally, by introducing collective coordinates, we also study a semi-classical quantization of soliton background to conclude that the spectrum of zero modes are unchanged through the BFT procedure. |
2007.09486 | Ming-Zhi Chung | Rafael Aoude, Ming-Zhi Chung, Yu-tin Huang, Camila S. Machado,
Man-Kuan Tam | The silence of binary Kerr | 6 pages, 6 figures, supplementary added, 9 figures | Phys. Rev. Lett. 125, 181602 (2020) | 10.1103/PhysRevLett.125.181602 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A non-trivial $\mathcal{S}$-matrix generally implies a production of
entanglement: starting with an incoming pure state the scattering generally
returns an outgoing state with non-vanishing entanglement entropy. It is then
interesting to ask if there exists a non-trivial $\mathcal{S}$-matrix that
generates no entanglement. In this letter, we argue that the answer is the
scattering of classical black holes. We study the spin-entanglement in the
scattering of arbitrary spinning particles. Augmented with Thomas-Wigner
rotation factors, we derive the entanglement entropy from the gravitational
induced $2\rightarrow 2$ amplitude. In the Eikonal limit, we find that the
relative entanglement entropy, defined here as the \textit{difference} between
the entanglement entropy of the \textit{in} and \textit{out}-states, is nearly
zero for minimal coupling irrespective of the \textit{in}-state, and increases
significantly for any non-vanishing spin multipole moments. This suggests that
minimal couplings of spinning particles, whose classical limit corresponds to
Kerr black hole, has the unique feature of generating near zero entanglement.
| [
{
"created": "Sat, 18 Jul 2020 17:37:55 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Sep 2020 10:42:51 GMT",
"version": "v2"
}
] | 2020-11-04 | [
[
"Aoude",
"Rafael",
""
],
[
"Chung",
"Ming-Zhi",
""
],
[
"Huang",
"Yu-tin",
""
],
[
"Machado",
"Camila S.",
""
],
[
"Tam",
"Man-Kuan",
""
]
] | A non-trivial $\mathcal{S}$-matrix generally implies a production of entanglement: starting with an incoming pure state the scattering generally returns an outgoing state with non-vanishing entanglement entropy. It is then interesting to ask if there exists a non-trivial $\mathcal{S}$-matrix that generates no entanglement. In this letter, we argue that the answer is the scattering of classical black holes. We study the spin-entanglement in the scattering of arbitrary spinning particles. Augmented with Thomas-Wigner rotation factors, we derive the entanglement entropy from the gravitational induced $2\rightarrow 2$ amplitude. In the Eikonal limit, we find that the relative entanglement entropy, defined here as the \textit{difference} between the entanglement entropy of the \textit{in} and \textit{out}-states, is nearly zero for minimal coupling irrespective of the \textit{in}-state, and increases significantly for any non-vanishing spin multipole moments. This suggests that minimal couplings of spinning particles, whose classical limit corresponds to Kerr black hole, has the unique feature of generating near zero entanglement. |
1012.2595 | David Foster Mr | David Foster | Massive Hopfions | 18 pages | Phys.Rev.D83:085026,2011 | 10.1103/PhysRevD.83.085026 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Skyrme-Faddeev model is a (3+1)-dimensional model which has knotted,
string-like, soliton solutions. In this paper we investigate a Skyrme-Faddeev
model with an SO(3) symmetry breaking potential. We then rescale this model and
take the mass to infinity. This infinite mass model is found to have compact
knotted solutions. In all of the investigated massive models we find similar
charged solutions as in the usual, m=0, model. We also find that their energies
follow a similar power growth as the m=0 model.
| [
{
"created": "Sun, 12 Dec 2010 22:35:13 GMT",
"version": "v1"
}
] | 2011-05-12 | [
[
"Foster",
"David",
""
]
] | The Skyrme-Faddeev model is a (3+1)-dimensional model which has knotted, string-like, soliton solutions. In this paper we investigate a Skyrme-Faddeev model with an SO(3) symmetry breaking potential. We then rescale this model and take the mass to infinity. This infinite mass model is found to have compact knotted solutions. In all of the investigated massive models we find similar charged solutions as in the usual, m=0, model. We also find that their energies follow a similar power growth as the m=0 model. |
hep-th/9701062 | Carlo Acerbi | C. Acerbi | Form Factors of Exponential Operators and Exact Wave Function
Renormalization Constant in the Bullough-Dodd Model | 22 pages, LaTeX file, 1 figure in file zeta.ps | Nucl.Phys. B497 (1997) 589-610 | 10.1016/S0550-3213(97)00303-9 | ISAS/EP/2/97 | hep-th | null | We compute the form factors of exponential operators $e^{kg\varphi(x)}$ in
the two-dimensional integrable Bullough-Dodd model ($a_2^{(2)}$ Affine Toda
Field Theory). These form factors are selected among the solutions of general
nonderivative scalar operators by their asymptotic cluster property. Through
analitical continuation to complex values of the coupling constant these
solutions permit to compute the form factors of scaling relevant primary fields
in the lightest-breather sector of integrable $\phi_{1,2}$ and $\phi_{1,5}$
deformations of conformal minimal models. We also obtain the exact
wave-function renormalization constant Z(g) of the model and the properly
normalized form factors of the operators $\varphi(x)$ and $:\varphi^2(x):$.
| [
{
"created": "Tue, 14 Jan 1997 10:05:47 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Acerbi",
"C.",
""
]
] | We compute the form factors of exponential operators $e^{kg\varphi(x)}$ in the two-dimensional integrable Bullough-Dodd model ($a_2^{(2)}$ Affine Toda Field Theory). These form factors are selected among the solutions of general nonderivative scalar operators by their asymptotic cluster property. Through analitical continuation to complex values of the coupling constant these solutions permit to compute the form factors of scaling relevant primary fields in the lightest-breather sector of integrable $\phi_{1,2}$ and $\phi_{1,5}$ deformations of conformal minimal models. We also obtain the exact wave-function renormalization constant Z(g) of the model and the properly normalized form factors of the operators $\varphi(x)$ and $:\varphi^2(x):$. |
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