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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1703.06374 | Shin'ichi Nojiri | Marcello Rotondo and Shin'ichi Nojiri | A Toy Model of Discretized Gravity in Two Dimensions and its Extentions | LaTeX 7 pages, version to appear in MPLA | null | 10.1142/S0217732317501498 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a toy model of quantum gravity in two dimensions with Euclidean
signature. The model is given by a kind of discretization which is different
from the dynamical triangulation. We show that there exists a continuum limit
and we can calculate some physical quantities such as the expectation value of
the area, that is, the volume of the two dimensional euclidean space-time. We
also consider the extensions of the model to higher dimensions.
| [
{
"created": "Sun, 19 Mar 2017 00:53:20 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Jul 2017 01:31:45 GMT",
"version": "v2"
},
{
"created": "Fri, 25 Aug 2017 09:18:17 GMT",
"version": "v3"
}
] | 2017-08-28 | [
[
"Rotondo",
"Marcello",
""
],
[
"Nojiri",
"Shin'ichi",
""
]
] | We propose a toy model of quantum gravity in two dimensions with Euclidean signature. The model is given by a kind of discretization which is different from the dynamical triangulation. We show that there exists a continuum limit and we can calculate some physical quantities such as the expectation value of the area, that is, the volume of the two dimensional euclidean space-time. We also consider the extensions of the model to higher dimensions. |
hep-th/9611044 | Schubert | Michael G. Schmidt, Christian Schubert | Relativistic QFTH - Couplings on the Worldline | 8 pages, standard Latex, no figures, talk given by M.G. Schmidt at
the International Seminar and Conference on Path Integrals, Dubna, Russia, 27
- 31 May 1996 | null | null | HD-THEP-96/43, HUB-EP-96/28 | hep-th | null | In the framework of the worldline path integral approach to QFTH we discuss
spin and relativistic couplings, in particular Yukawa and axial couplings to
spin 1/2, and the case of spin 1 in the loop.
| [
{
"created": "Thu, 7 Nov 1996 21:22:34 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Schmidt",
"Michael G.",
""
],
[
"Schubert",
"Christian",
""
]
] | In the framework of the worldline path integral approach to QFTH we discuss spin and relativistic couplings, in particular Yukawa and axial couplings to spin 1/2, and the case of spin 1 in the loop. |
hep-th/9611105 | U. Mitreuter | U.G. Mitreuter, J.M. Pawlowski and A. Wipf | Polyakov-Loops and Fermionic Zero Modes in QCD2 on the Torus | some comments added and some typos corrected, 17 pages, Latex, 2
figures | Nucl.Phys. B514 (1998) 381-398 | 10.1016/S0550-3213(97)00733-5 | FSUJ-TPI-17/96 | hep-th | null | A simple derivation of the free energy and expectation values of
Polyakov-loops in $QCD_2$ via path integral methods is given. In the chosen
gauge (which can be generalized to 4 dimensions) without Gribov-copies the
Fadeev-Popov determinant and the integration over the space component of the
gauge field cancel exactly and we are left only with an integration over the
zero components of the gauge field in the Cartan sub-algebra. This way the
Polyakov-loop operators become Vertex-operators in a simple quantum mechanical
model. The number of fermionic zero modes is related to the winding-numbers of
$A_0$ in this gauge.
| [
{
"created": "Thu, 14 Nov 1996 10:40:24 GMT",
"version": "v1"
},
{
"created": "Tue, 6 May 1997 10:03:27 GMT",
"version": "v2"
},
{
"created": "Fri, 29 Aug 1997 08:49:37 GMT",
"version": "v3"
}
] | 2009-10-30 | [
[
"Mitreuter",
"U. G.",
""
],
[
"Pawlowski",
"J. M.",
""
],
[
"Wipf",
"A.",
""
]
] | A simple derivation of the free energy and expectation values of Polyakov-loops in $QCD_2$ via path integral methods is given. In the chosen gauge (which can be generalized to 4 dimensions) without Gribov-copies the Fadeev-Popov determinant and the integration over the space component of the gauge field cancel exactly and we are left only with an integration over the zero components of the gauge field in the Cartan sub-algebra. This way the Polyakov-loop operators become Vertex-operators in a simple quantum mechanical model. The number of fermionic zero modes is related to the winding-numbers of $A_0$ in this gauge. |
1006.4105 | Shin Nakamura | Shin Nakamura (Kyoto Univ.) | Negative Differential Resistivity from Holography | 4 pages, 2 figures;V2 typos corrected, reference added;V3: 12 pages
by changing the format; comments, references, figures added, NcNf is modified
without changing the main results. 4 figures;V4: published version; V5:
nothing changed except for the format,10 pages | Prog.Theor.Phys.124:1105-1114,2010 | 10.1143/PTP.124.1105 | KUNS-2273 | hep-th cond-mat.stat-mech cond-mat.str-el nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Negative differential resistivity (NDR) in a (3+1)-dimensional quantum system
of strongly correlated charge carriers is theoretically reproduced by using the
AdS/CFT correspondence. Our system is microscopically defined, and the analysis
does not rely on any phenomenological models of NDR mechanism. The interaction
between the heat reservoir and the nonequilibrium charge carriers is also taken
into account. The system realizes insulation due to the formation of the
neutral bound states of the charge carriers at low temperatures. However, the
insulation is broken and the field-induced conductor phase appears by applying
the external electric field greater than the critical value. We find that the
NDR appears right above the critical electric field in this phase, and the pair
creation of the charge carriers is crucial to realize the NDR. The present
result suggests a possibility to observe a similar NDR in excitonic insulators
or in the strongly interacting quark-gluon plasma, where the insulation
originates in the formation of the neutral bound states.
| [
{
"created": "Mon, 21 Jun 2010 16:05:18 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Jun 2010 02:50:15 GMT",
"version": "v2"
},
{
"created": "Wed, 22 Sep 2010 09:54:50 GMT",
"version": "v3"
},
{
"created": "Tue, 14 Dec 2010 03:31:25 GMT",
"version": "v4"
},
{
"created": "Fri, 16 Sep 2011 09:02:25 GMT",
"version": "v5"
}
] | 2011-09-19 | [
[
"Nakamura",
"Shin",
"",
"Kyoto Univ."
]
] | Negative differential resistivity (NDR) in a (3+1)-dimensional quantum system of strongly correlated charge carriers is theoretically reproduced by using the AdS/CFT correspondence. Our system is microscopically defined, and the analysis does not rely on any phenomenological models of NDR mechanism. The interaction between the heat reservoir and the nonequilibrium charge carriers is also taken into account. The system realizes insulation due to the formation of the neutral bound states of the charge carriers at low temperatures. However, the insulation is broken and the field-induced conductor phase appears by applying the external electric field greater than the critical value. We find that the NDR appears right above the critical electric field in this phase, and the pair creation of the charge carriers is crucial to realize the NDR. The present result suggests a possibility to observe a similar NDR in excitonic insulators or in the strongly interacting quark-gluon plasma, where the insulation originates in the formation of the neutral bound states. |
2207.11703 | Yongqiang Wang | Yan Song, Si-Yuan Cui, Yong-Qiang Wang | Weak cosmic censorship with $SU(2)$ gauge field and bound on
charge-to-mass ratio | 16 pages, 5 figures | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We numerically construct the stationary solutions of $SU(2)$
Einstein-Yang-Mills theory in four dimensional anti-de Sitter spacetime. When
the $t$ component of $SU(2)$ gauge field is taken to the only nonzero
component, we construct a class of counterexamples to the weak cosmic
censorship conjecture in Einstein-Maxwell theory. However, including a nonzero
$\phi$ component of $SU(2)$ gauge field, we can argue that there is a minimum
value $q_W$, when the charge carried by the $\phi$ component is larger than
this minimum value, for sufficiently large boundary electric amplitude $a$, the
original counterexamples can be removed and cosmic censorship is preserved.
| [
{
"created": "Sun, 24 Jul 2022 09:47:01 GMT",
"version": "v1"
}
] | 2022-07-26 | [
[
"Song",
"Yan",
""
],
[
"Cui",
"Si-Yuan",
""
],
[
"Wang",
"Yong-Qiang",
""
]
] | We numerically construct the stationary solutions of $SU(2)$ Einstein-Yang-Mills theory in four dimensional anti-de Sitter spacetime. When the $t$ component of $SU(2)$ gauge field is taken to the only nonzero component, we construct a class of counterexamples to the weak cosmic censorship conjecture in Einstein-Maxwell theory. However, including a nonzero $\phi$ component of $SU(2)$ gauge field, we can argue that there is a minimum value $q_W$, when the charge carried by the $\phi$ component is larger than this minimum value, for sufficiently large boundary electric amplitude $a$, the original counterexamples can be removed and cosmic censorship is preserved. |
hep-th/0510046 | Mukund Rangamani | Ben Freivogel, Veronika E. Hubeny, Alexander Maloney, Robert C. Myers,
Mukund Rangamani, Stephen Shenker | Inflation in AdS/CFT | 34 pages + appendices, 18 figures. v2: changes and additions made to
clarify presentation. refs added. v3: small changes, version to appear in
JHEP. v4: minor changes | JHEP 0603:007,2006 | 10.1088/1126-6708/2006/03/007 | null | hep-th gr-qc | null | We study the AdS/CFT correspondence as a probe of inflation. We assume the
existence of a string landscape containing at least one stable AdS vacuum and a
(nearby) metastable de Sitter state. Standard arguments imply that the bulk
physics in the vicinity of the AdS minimum is described by a boundary CFT. We
argue that large enough bubbles of the dS phase, including those able to
inflate, are described by mixed states in the CFT. Inflating degrees of freedom
are traced over and do not appear explicitly in the boundary description. They
nevertheless leave a distinct imprint on the mixed state. In the supergravity
approximation, analytic continuation connects AdS/CFT correlators to dS/CFT
correlators. This provides a framework for extracting further information as
well. Our work also shows that no scattering process can create an inflating
region, even by quantum tunneling, since a pure state can never evolve into a
mixed state under unitary evolution.
| [
{
"created": "Wed, 5 Oct 2005 19:58:30 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Nov 2005 08:20:39 GMT",
"version": "v2"
},
{
"created": "Thu, 2 Mar 2006 08:27:20 GMT",
"version": "v3"
},
{
"created": "Thu, 2 Mar 2006 23:52:07 GMT",
"version": "v4"
}
] | 2010-02-03 | [
[
"Freivogel",
"Ben",
""
],
[
"Hubeny",
"Veronika E.",
""
],
[
"Maloney",
"Alexander",
""
],
[
"Myers",
"Robert C.",
""
],
[
"Rangamani",
"Mukund",
""
],
[
"Shenker",
"Stephen",
""
]
] | We study the AdS/CFT correspondence as a probe of inflation. We assume the existence of a string landscape containing at least one stable AdS vacuum and a (nearby) metastable de Sitter state. Standard arguments imply that the bulk physics in the vicinity of the AdS minimum is described by a boundary CFT. We argue that large enough bubbles of the dS phase, including those able to inflate, are described by mixed states in the CFT. Inflating degrees of freedom are traced over and do not appear explicitly in the boundary description. They nevertheless leave a distinct imprint on the mixed state. In the supergravity approximation, analytic continuation connects AdS/CFT correlators to dS/CFT correlators. This provides a framework for extracting further information as well. Our work also shows that no scattering process can create an inflating region, even by quantum tunneling, since a pure state can never evolve into a mixed state under unitary evolution. |
2402.06153 | Takuya Yoda | Takuya Yoda | Complex saddles of the Veneziano amplitude | 20 pages, 6 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Saddle point approximation is a useful method to explore high energy
asymptotic behaviors of string scattering amplitudes. We show that, even at
tree-level, there are infinitely many complex saddles contributing to string
scattering amplitudes, and that the complex saddles reproduce their appropriate
poles and zeros. Each complex saddle is interpreted as a semi-classical path of
a string in Lorentzian signature. The poles and zeros of the Veneziano
amplitude are understood as constructive or destructive interference of such
semi-classical paths.
| [
{
"created": "Fri, 9 Feb 2024 03:03:14 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Mar 2024 18:07:25 GMT",
"version": "v2"
}
] | 2024-03-04 | [
[
"Yoda",
"Takuya",
""
]
] | Saddle point approximation is a useful method to explore high energy asymptotic behaviors of string scattering amplitudes. We show that, even at tree-level, there are infinitely many complex saddles contributing to string scattering amplitudes, and that the complex saddles reproduce their appropriate poles and zeros. Each complex saddle is interpreted as a semi-classical path of a string in Lorentzian signature. The poles and zeros of the Veneziano amplitude are understood as constructive or destructive interference of such semi-classical paths. |
hep-th/0008167 | null | A.T. Banin, I.L. Buchbinder, N.G. Pletnev | Low-Energy Effective Action of N=2 Gauge Multiplet Induced by
Hypermultiplet Matter | LaTeX, 27 pages, minor corrections | Nucl.Phys. B598 (2001) 371-399 | 10.1016/S0550-3213(00)00735-5 | null | hep-th | null | We study one-loop effective action of hypermultiplet theory coupled to
external N=2 vector multiplet. We formulate this theory in N=1 superspace and
develop a general approach to constructing derivative expansion of the
effective action based on an operator symbol technique adopted to N=1
supersymmetric field models. The approach under consideration allows to
investigate on a unique ground a general structure of effective action and
obtain both N=2 superconformal invariant (non-holomorphic) corrections and
anomaly (holomorphic) corrections. The leading low-energy contributions to
effective action are found in explicit form.
| [
{
"created": "Tue, 22 Aug 2000 09:54:57 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Aug 2000 13:26:45 GMT",
"version": "v2"
},
{
"created": "Thu, 31 Aug 2000 12:55:53 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Banin",
"A. T.",
""
],
[
"Buchbinder",
"I. L.",
""
],
[
"Pletnev",
"N. G.",
""
]
] | We study one-loop effective action of hypermultiplet theory coupled to external N=2 vector multiplet. We formulate this theory in N=1 superspace and develop a general approach to constructing derivative expansion of the effective action based on an operator symbol technique adopted to N=1 supersymmetric field models. The approach under consideration allows to investigate on a unique ground a general structure of effective action and obtain both N=2 superconformal invariant (non-holomorphic) corrections and anomaly (holomorphic) corrections. The leading low-energy contributions to effective action are found in explicit form. |
hep-th/0106160 | Aldo Cotrone | F. Bigazzi, A. L. Cotrone, A. Zaffaroni | N=2 Gauge Theories from Wrapped Five-branes | 11 pages, LateX. Revised version | Phys.Lett. B519 (2001) 269-276 | 10.1016/S0370-2693(01)01100-5 | FT-01-15 | hep-th | null | We present string duals of four dimensional N=2 pure SU(N) SYM theory. The
theory is obtained as the low energy limit of D5-branes wrapped on non-trivial
two-cycles. Using seven dimensional gauged supergravity and uplifting the
result to ten dimensions, we obtain solutions corresponding to various points
of the N=2 moduli space. The more symmetric solution may correspond to a point
with rotationally invariant classical vevs. By turning on seven dimensional
scalar fields, we find a solution corresponding to a linear distribution of
vevs. Both solutions are conveniently studied with a D5-probe, which also
confirms many of the standard expectations for N=2 solutions.
| [
{
"created": "Mon, 18 Jun 2001 19:07:27 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Jul 2001 14:27:50 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Bigazzi",
"F.",
""
],
[
"Cotrone",
"A. L.",
""
],
[
"Zaffaroni",
"A.",
""
]
] | We present string duals of four dimensional N=2 pure SU(N) SYM theory. The theory is obtained as the low energy limit of D5-branes wrapped on non-trivial two-cycles. Using seven dimensional gauged supergravity and uplifting the result to ten dimensions, we obtain solutions corresponding to various points of the N=2 moduli space. The more symmetric solution may correspond to a point with rotationally invariant classical vevs. By turning on seven dimensional scalar fields, we find a solution corresponding to a linear distribution of vevs. Both solutions are conveniently studied with a D5-probe, which also confirms many of the standard expectations for N=2 solutions. |
hep-th/0310145 | Schucker | Thomas Schucker (Marseille) | Noncommutative geometry and the standard model | 11 pages, 4 figures, contribution to Encyclopedia of Mathematical
Physics, J.-P. Francoise, G. Naber & Tsou Sheung Tsun (eds.), Elsevier
Science | null | null | null | hep-th | null | The aim of this contribution is to explain how Connes derives the standard
model of electromagnetic, weak and strong forces from noncommutative geometry.
The reader is supposed to be aware of two other derivations in fundamental
physics: the derivation of the Balmer-Rydberg formula for the spectrum of the
hydrogen atom from quantum mechanics and Einstein's derivation of gravity from
Riemannian geometry.
| [
{
"created": "Wed, 15 Oct 2003 16:03:35 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Schucker",
"Thomas",
"",
"Marseille"
]
] | The aim of this contribution is to explain how Connes derives the standard model of electromagnetic, weak and strong forces from noncommutative geometry. The reader is supposed to be aware of two other derivations in fundamental physics: the derivation of the Balmer-Rydberg formula for the spectrum of the hydrogen atom from quantum mechanics and Einstein's derivation of gravity from Riemannian geometry. |
hep-th/0303253 | Diederik Roest | Eric Bergshoeff, Ulf Gran, Roman Linares, Mikkel Nielsen and Diederik
Roest | Domain Walls and the Creation of Strings | v1: 22 pages, 3 figures. v2: footnote and reference added | Class.Quant.Grav. 20 (2003) 3465-3482 | 10.1088/0264-9381/20/15/313 | UG-03-02 | hep-th | null | The phenomenon of creation of strings, occurring when particles pass through
a domain wall and related to the Hanany-Witten effect via dualities, is
discussed in ten and nine dimensions. We consider both the particle actions in
massive backgrounds as well as the 1/4-supersymmetric particle-string-domain
wall supergravity solutions and discuss their physical interpretation. In 10D
we discuss the D0-F1-D8 system in massive IIA theory while in 9D the
SL(2,R)-generalisation is constructed. It consists of (p,q)-particles,
(r,s)-strings and the double domain wall solution of the three different 9D
gauged supergravities where a subgroup of SL(2,R) is gauged.
| [
{
"created": "Fri, 28 Mar 2003 19:55:03 GMT",
"version": "v1"
},
{
"created": "Tue, 27 May 2003 16:17:38 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Bergshoeff",
"Eric",
""
],
[
"Gran",
"Ulf",
""
],
[
"Linares",
"Roman",
""
],
[
"Nielsen",
"Mikkel",
""
],
[
"Roest",
"Diederik",
""
]
] | The phenomenon of creation of strings, occurring when particles pass through a domain wall and related to the Hanany-Witten effect via dualities, is discussed in ten and nine dimensions. We consider both the particle actions in massive backgrounds as well as the 1/4-supersymmetric particle-string-domain wall supergravity solutions and discuss their physical interpretation. In 10D we discuss the D0-F1-D8 system in massive IIA theory while in 9D the SL(2,R)-generalisation is constructed. It consists of (p,q)-particles, (r,s)-strings and the double domain wall solution of the three different 9D gauged supergravities where a subgroup of SL(2,R) is gauged. |
1705.06175 | Raffaele Marotta | Paolo Di Vecchia, Raffaele Marotta, Matin Mojaza | Double-soft behavior of the dilaton of spontaneously broken conformal
invariance | 48 pages, one appendix | null | 10.1007/JHEP09(2017)001 | NORDITA-2017-032 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Ward identities involving the currents associated to the spontaneously
broken scale and special conformal transformations are derived and used to
determine, through linear order in the two soft-dilaton momenta, the
double-soft behavior of scattering amplitudes involving two soft dilatons and
any number of other particles. It turns out that the double-soft behavior is
equivalent to performing two single-soft limits one after the other. We confirm
the new double-soft theorem perturbatively at tree-level in a $D$-dimensional
conformal field theory model, as well as nonperturbatively by using the
"gravity dual'' of ${\cal{N}}=4$ super Yang-Mills on the Coulomb branch; i.e.
the Dirac-Born-Infeld action on AdS${}_5 \times S^5$.
| [
{
"created": "Wed, 17 May 2017 14:20:12 GMT",
"version": "v1"
}
] | 2017-09-20 | [
[
"Di Vecchia",
"Paolo",
""
],
[
"Marotta",
"Raffaele",
""
],
[
"Mojaza",
"Matin",
""
]
] | The Ward identities involving the currents associated to the spontaneously broken scale and special conformal transformations are derived and used to determine, through linear order in the two soft-dilaton momenta, the double-soft behavior of scattering amplitudes involving two soft dilatons and any number of other particles. It turns out that the double-soft behavior is equivalent to performing two single-soft limits one after the other. We confirm the new double-soft theorem perturbatively at tree-level in a $D$-dimensional conformal field theory model, as well as nonperturbatively by using the "gravity dual'' of ${\cal{N}}=4$ super Yang-Mills on the Coulomb branch; i.e. the Dirac-Born-Infeld action on AdS${}_5 \times S^5$. |
hep-th/9510070 | Fujii Akira | Akira Fujii | Toda Lattice Models with Boundary | 9 pages, latex, no figures | J.Phys.Soc.Jap. 66 (1997) 507-510 | 10.1143/JPSJ.66.507 | BONN-TH-95-18 | hep-th | null | We consider the soliton solutions in 1- and (1+1)-dimensional Toda lattice
models with a boundary. We make use of the solutions already known on a full
line by means of the Hirota's method. We explicitly construct the solutions
satisfying the boundary conditions. The ${\bf Z}_{\infty}$-symmetric boundary
condition can be introduced by the two-soliton solutions naturally.
| [
{
"created": "Wed, 11 Oct 1995 13:51:27 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Fujii",
"Akira",
""
]
] | We consider the soliton solutions in 1- and (1+1)-dimensional Toda lattice models with a boundary. We make use of the solutions already known on a full line by means of the Hirota's method. We explicitly construct the solutions satisfying the boundary conditions. The ${\bf Z}_{\infty}$-symmetric boundary condition can be introduced by the two-soliton solutions naturally. |
1102.0977 | Feng-Li Lin | Ching-Yu Huang, Feng-Li Lin and Debaprasad Maity | Holographic Multi-Band Superconductor | 13 pages, 5 figures, v2. Major revision on the identification of
U(1)_EM for evaluating the holographic conductivity in sec. 4 & add an
appendix for inter-band conductivity matrix, v3. minor changes to match the
published version on PLB | Phys.Lett.B703:633-640,2011 | 10.1016/j.physletb.2011.08.053 | null | hep-th cond-mat.str-el cond-mat.supr-con | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a gravity dual for the holographic superconductor with multi-band
carriers. Moreover, the currents of these carriers are unified under a global
flavored SO(3) symmetry, which is dual to the bulk SO(3) gauge symmetry. We
study the phase diagram of our model, and find it qualitatively agrees with the
one for the realistic 2-band superconductor, such as $MgB_2$. We also identify
the bulk field dual to the electromagnetic $U(1)_{EM}$ current, which should be
invariant under the global flavored SO(3) rotation. We then evaluate the
corresponding holographic conductivity and find the expected mean field like
behaviors.
| [
{
"created": "Fri, 4 Feb 2011 17:31:40 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Mar 2011 16:00:47 GMT",
"version": "v2"
},
{
"created": "Mon, 5 Sep 2011 02:38:01 GMT",
"version": "v3"
}
] | 2015-03-18 | [
[
"Huang",
"Ching-Yu",
""
],
[
"Lin",
"Feng-Li",
""
],
[
"Maity",
"Debaprasad",
""
]
] | We propose a gravity dual for the holographic superconductor with multi-band carriers. Moreover, the currents of these carriers are unified under a global flavored SO(3) symmetry, which is dual to the bulk SO(3) gauge symmetry. We study the phase diagram of our model, and find it qualitatively agrees with the one for the realistic 2-band superconductor, such as $MgB_2$. We also identify the bulk field dual to the electromagnetic $U(1)_{EM}$ current, which should be invariant under the global flavored SO(3) rotation. We then evaluate the corresponding holographic conductivity and find the expected mean field like behaviors. |
hep-th/0206058 | Fernando T. C. Brandt | F. T. Brandt, Ashok Das and J. Frenkel | Dispersion relations for the self-energy in non-commutative field
theories | 10 pages | Phys.Rev.D66:065017,2002 | 10.1103/PhysRevD.66.065017 | null | hep-th | null | We study the IR/UV connection in non-commutative $\phi^{3}$ theory as well as
in non-commutative QED from the point of view of the dispersion relation for
the self-energy. We show that, although the imaginary part of the self-energy
is well behaved as the parameter of non-commutativity vanishes, the real part
becomes divergent as a consequence of the high energy behavior of the
dispersion integral. Some other interesting features that arise from this
analysis are also briefly discussed.
| [
{
"created": "Fri, 7 Jun 2002 12:10:50 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Brandt",
"F. T.",
""
],
[
"Das",
"Ashok",
""
],
[
"Frenkel",
"J.",
""
]
] | We study the IR/UV connection in non-commutative $\phi^{3}$ theory as well as in non-commutative QED from the point of view of the dispersion relation for the self-energy. We show that, although the imaginary part of the self-energy is well behaved as the parameter of non-commutativity vanishes, the real part becomes divergent as a consequence of the high energy behavior of the dispersion integral. Some other interesting features that arise from this analysis are also briefly discussed. |
hep-th/0702085 | Jungjai Lee | Jungjai Lee, Hyeong-Chan Kim | Stationary vacuum hyper-cylindrical solution in 4+1 dimensions | 10 pages. to appear in MPLA | Mod.Phys.Lett.A22:2439-2452,2007 | 10.1142/S0217732307024449 | null | hep-th gr-qc | null | We find a 4+1 dimensional stationary vacuum hyper-cylindrical solution
solution which is spherically symmetric in $3-$dimensions and invariant under
the translation along the fifth coordinate. The solution is characterized by
three parameters, mass, tension, and conserved momentum along the fifth
coordinate. The metric is locally equivalent to the known static solution. We
briefly discuss its physical properties.
| [
{
"created": "Mon, 12 Feb 2007 04:16:10 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Feb 2007 11:40:36 GMT",
"version": "v2"
},
{
"created": "Tue, 14 Aug 2007 06:15:18 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Lee",
"Jungjai",
""
],
[
"Kim",
"Hyeong-Chan",
""
]
] | We find a 4+1 dimensional stationary vacuum hyper-cylindrical solution solution which is spherically symmetric in $3-$dimensions and invariant under the translation along the fifth coordinate. The solution is characterized by three parameters, mass, tension, and conserved momentum along the fifth coordinate. The metric is locally equivalent to the known static solution. We briefly discuss its physical properties. |
1804.05845 | Kyle Aitken | Kyle Aitken, Aleksey Cherman, Mithat \"Unsal | Dihedral symmetry in $SU(N)$ Yang-Mills theory | 31 pages, 3 figures. v2: added refs and minor typos fixed | Phys. Rev. D 100, 085004 (2019) | 10.1103/PhysRevD.100.085004 | INT-PUB-18-025 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We point out that charge conjugation and coordinate reflection symmetries do
not commute with the center symmetry of $SU(N)$ YM theory when $N>2$. As a
result, for generic values of the $\theta$ angle, the group of discrete
zero-form symmetries of YM theory on e.g. the spacetime manifold
$\mathbb{R}^3\times S^1$ includes the dihedral group $D_{2N}$ which is
non-Abelian for $N>2$. At $\theta = \pi$, the non-Abelian factor in the
symmetry group is enhanced to $D_{4N}$ due to discrete 't Hooft anomaly
considerations. We illustrate these results in YM theory as well as in a simple
quantum mechanical model, where we study representation theory as a function of
$\theta$ angle.
| [
{
"created": "Mon, 16 Apr 2018 18:00:01 GMT",
"version": "v1"
},
{
"created": "Wed, 2 May 2018 04:40:12 GMT",
"version": "v2"
}
] | 2019-10-16 | [
[
"Aitken",
"Kyle",
""
],
[
"Cherman",
"Aleksey",
""
],
[
"Ünsal",
"Mithat",
""
]
] | We point out that charge conjugation and coordinate reflection symmetries do not commute with the center symmetry of $SU(N)$ YM theory when $N>2$. As a result, for generic values of the $\theta$ angle, the group of discrete zero-form symmetries of YM theory on e.g. the spacetime manifold $\mathbb{R}^3\times S^1$ includes the dihedral group $D_{2N}$ which is non-Abelian for $N>2$. At $\theta = \pi$, the non-Abelian factor in the symmetry group is enhanced to $D_{4N}$ due to discrete 't Hooft anomaly considerations. We illustrate these results in YM theory as well as in a simple quantum mechanical model, where we study representation theory as a function of $\theta$ angle. |
hep-th/9702093 | A. Sagnotti | Augusto Sagnotti (Universita' di Roma "Tor Vergata") | Surprises in Open-String Perturbation Theory | 13pages, LATEX with espcrc2, 3 eps figures Contribution to the
Proceedings of the XXX Ahrenshoop Symposium, Buckow (Berlin), August 1996
references added | Nucl.Phys.Proc.Suppl.56B:332-343,1997 | 10.1016/S0920-5632(97)00344-7 | ROM2F-97/4 | hep-th | null | The perturbative analysis of models of open and closed superstrings presents
a number of surprises. For instance, variable numbers of antisymmetric tensors
ensure their consistency via generalized Green-Schwarz cancellations and a
novel type of singularity occurs in their moduli spaces. All these features are
related, in one way or another, to the presence of boundaries on the world
sheet or, equivalently, of extended objects (branes) interacting with the bulk
theory in space time. String dualities have largely widened the interest in
these models, that exhibit a wealth of generic non-perturbative features of
String Theory.
| [
{
"created": "Tue, 11 Feb 1997 20:33:10 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Feb 1997 18:09:21 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Sagnotti",
"Augusto",
"",
"Universita' di Roma \"Tor Vergata\""
]
] | The perturbative analysis of models of open and closed superstrings presents a number of surprises. For instance, variable numbers of antisymmetric tensors ensure their consistency via generalized Green-Schwarz cancellations and a novel type of singularity occurs in their moduli spaces. All these features are related, in one way or another, to the presence of boundaries on the world sheet or, equivalently, of extended objects (branes) interacting with the bulk theory in space time. String dualities have largely widened the interest in these models, that exhibit a wealth of generic non-perturbative features of String Theory. |
1204.1280 | James Sparks | Luis F. Alday, Martin Fluder and James Sparks | The large N limit of M2-branes on Lens spaces | 28 pages, 4 figures | JHEP 10 (2012) 057 | 10.1007/JHEP10(2012)057 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the matrix model for N M2-branes wrapping a Lens space L(p,1) =
S^3/Z_p. This arises from localization of the partition function of the ABJM
theory, and has some novel features compared with the case of a three-sphere,
including a sum over flat connections and a potential that depends
non-trivially on p. We study the matrix model both numerically and analytically
in the large N limit, finding that a certain family of p flat connections give
an equal dominant contribution. At large N we find the same eigenvalue
distribution for all p, and show that the free energy is simply 1/p times the
free energy on a three-sphere, in agreement with gravity dual expectations.
| [
{
"created": "Thu, 5 Apr 2012 17:28:08 GMT",
"version": "v1"
}
] | 2015-06-04 | [
[
"Alday",
"Luis F.",
""
],
[
"Fluder",
"Martin",
""
],
[
"Sparks",
"James",
""
]
] | We study the matrix model for N M2-branes wrapping a Lens space L(p,1) = S^3/Z_p. This arises from localization of the partition function of the ABJM theory, and has some novel features compared with the case of a three-sphere, including a sum over flat connections and a potential that depends non-trivially on p. We study the matrix model both numerically and analytically in the large N limit, finding that a certain family of p flat connections give an equal dominant contribution. At large N we find the same eigenvalue distribution for all p, and show that the free energy is simply 1/p times the free energy on a three-sphere, in agreement with gravity dual expectations. |
1210.0217 | K.B. Alkalaev | K.B. Alkalaev | Massless hook field in AdS(d+1) from the holographic perspective | 41 pages; v2: minor corrections, refs added | null | 10.1007/JHEP01(2013)018 | FIAN-TD-2012-13 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We systematically consider the AdS/CFT correspondence for a simplest
mixed-symmetry massless gauge field described by hook Young diagram. We
introduce the radial gauge fixing and explicitly solve the Dirichlet problem
for the hook field equations. Solution finding conveniently splits in two
steps. We first define an incomplete solution characterized by a functional
freedom and then impose the boundary conditions. The resulting complete
solution is fixed unambiguously up to boundary values. Two-point correlation
function of hook primary operators is found via the corresponding boundary
effective action computed separately in even and odd boundary dimensions. In
particular, the higher-derivative action for boundary conformal hook fields is
identified with a singular part of the effective action in even dimensions. The
bulk/boundary symmetry transmutation within the Dirichlet boundary problem is
explicitly studied. It is shown that traces of boundary fields are
Stueckelberg-like modes that can be algebraically gauged away so that boundary
fields are traceless.
| [
{
"created": "Sun, 30 Sep 2012 16:45:40 GMT",
"version": "v1"
},
{
"created": "Sat, 13 Oct 2012 08:52:13 GMT",
"version": "v2"
}
] | 2015-06-11 | [
[
"Alkalaev",
"K. B.",
""
]
] | We systematically consider the AdS/CFT correspondence for a simplest mixed-symmetry massless gauge field described by hook Young diagram. We introduce the radial gauge fixing and explicitly solve the Dirichlet problem for the hook field equations. Solution finding conveniently splits in two steps. We first define an incomplete solution characterized by a functional freedom and then impose the boundary conditions. The resulting complete solution is fixed unambiguously up to boundary values. Two-point correlation function of hook primary operators is found via the corresponding boundary effective action computed separately in even and odd boundary dimensions. In particular, the higher-derivative action for boundary conformal hook fields is identified with a singular part of the effective action in even dimensions. The bulk/boundary symmetry transmutation within the Dirichlet boundary problem is explicitly studied. It is shown that traces of boundary fields are Stueckelberg-like modes that can be algebraically gauged away so that boundary fields are traceless. |
1112.0995 | Francesco Toppan | Zhanna Kuznetsova and Francesco Toppan | D-module Representations of N=2,4,8 Superconformal Algebras and Their
Superconformal Mechanics | 22 pages | J. Math. Phys. 53, 043513 (2012) | 10.1063/1.4705270 | CBPF-NF-015/11 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The linear (homogeneous and inhomogeneous) (k, N, N-k) supermultiplets of the
N-extended one-dimensional Supersymmetry Algebra induce D-module
representations for the N=2,4,8 superconformal algebras.
For N=2, the D-module representations of the A(1,0) superalgebra are
obtained. For N=4 and scaling dimension \lambda=0, the D-module representations
of the A(1,1) superalgebra are obtained. For $\lambda\neq 0$, the D-module
representations of the D(2,1;\alpha) superalgebras are obtained, with $\alpha$
determined in terms of the scaling dimension $\lambda$ according to:
$\alpha=-2\lambda$ for k=4, i.e. the (4,4) supermultiplet, $\alpha=-\lambda$
for k=3, i.e. (3,4,1), and $\alpha=\lambda$ for k=1, i.e. (1,4,3). For
$\lambda\neq 0$ the (2,4,2) supermultiplet induces a D-module representation
for the centrally extended sl(2|2) superalgebra. For N=8, the (8,8) root
supermultiplet induces a D-module representation of the D(4,1) superalgebra at
the fixed value $\lambda=1/4$. A Lagrangian framework to construct
one-dimensional, off-shell, superconformal invariant actions from
single-particle and multi-particles D-module representations is discussed. It
is applied to explicitly construct invariant actions for the homogeneous and
inhomogeneous N=4 (1,4,3) D-module representations (in the last case for
several interacting supermultiplets of different chirality).
| [
{
"created": "Mon, 5 Dec 2011 16:58:08 GMT",
"version": "v1"
}
] | 2012-05-01 | [
[
"Kuznetsova",
"Zhanna",
""
],
[
"Toppan",
"Francesco",
""
]
] | The linear (homogeneous and inhomogeneous) (k, N, N-k) supermultiplets of the N-extended one-dimensional Supersymmetry Algebra induce D-module representations for the N=2,4,8 superconformal algebras. For N=2, the D-module representations of the A(1,0) superalgebra are obtained. For N=4 and scaling dimension \lambda=0, the D-module representations of the A(1,1) superalgebra are obtained. For $\lambda\neq 0$, the D-module representations of the D(2,1;\alpha) superalgebras are obtained, with $\alpha$ determined in terms of the scaling dimension $\lambda$ according to: $\alpha=-2\lambda$ for k=4, i.e. the (4,4) supermultiplet, $\alpha=-\lambda$ for k=3, i.e. (3,4,1), and $\alpha=\lambda$ for k=1, i.e. (1,4,3). For $\lambda\neq 0$ the (2,4,2) supermultiplet induces a D-module representation for the centrally extended sl(2|2) superalgebra. For N=8, the (8,8) root supermultiplet induces a D-module representation of the D(4,1) superalgebra at the fixed value $\lambda=1/4$. A Lagrangian framework to construct one-dimensional, off-shell, superconformal invariant actions from single-particle and multi-particles D-module representations is discussed. It is applied to explicitly construct invariant actions for the homogeneous and inhomogeneous N=4 (1,4,3) D-module representations (in the last case for several interacting supermultiplets of different chirality). |
1902.07586 | Runqiu Yang | Run-Qiu Yang, Hyun-Sik Jeong, Chao Niu, Keun-Young Kim | Complexity of Holographic Superconductors | a minor modification on the discussions of mass without changing the
main results; references added | J. High Energ. Phys. 2019, 146 (2019) | 10.1007/JHEP04(2019)146 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the complexity of holographic superconductors
(Einstein-Maxwell-complex scalar actions in $d+1$ dimension) by the `complexity
= volume' (CV) conjecture. First, it seems that there is a universal property:
the superconducting phase always has a smaller complexity than the unstable
normal phase below the critical temperature, which is similar to a free energy.
We investigate the temperature dependence of the complexity. In the low
temperature limit, the complexity (of formation) scales as $T^\alpha$, where
$\alpha$ is a function of the complex scalar mass $m^2$, the $U(1)$ charge $q$,
and dimension $d$. In particular, for $m^2=0$, we find $\alpha=d-1$,
independent of $q$, which can be explained by the near horizon geometry of the
low temperature holographic superconductor. Next, we develop a general
numerical method to compute the time-dependent complexity by the CV conjecture.
By this method, we compute the time-dependent complexity of holographic
superconductors. In both normal and superconducting phase, the complexity
increases as time goes on and the growth rate saturates to a temperature
dependent constant. The higher the temperature is, the bigger the growth rate
is. However, the growth rates do not violate the Lloyd's bound in all cases and
saturate the Lloyd's bound in the high temperature limit at a late time.
| [
{
"created": "Wed, 20 Feb 2019 15:03:06 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Mar 2019 05:04:00 GMT",
"version": "v2"
}
] | 2024-07-01 | [
[
"Yang",
"Run-Qiu",
""
],
[
"Jeong",
"Hyun-Sik",
""
],
[
"Niu",
"Chao",
""
],
[
"Kim",
"Keun-Young",
""
]
] | We study the complexity of holographic superconductors (Einstein-Maxwell-complex scalar actions in $d+1$ dimension) by the `complexity = volume' (CV) conjecture. First, it seems that there is a universal property: the superconducting phase always has a smaller complexity than the unstable normal phase below the critical temperature, which is similar to a free energy. We investigate the temperature dependence of the complexity. In the low temperature limit, the complexity (of formation) scales as $T^\alpha$, where $\alpha$ is a function of the complex scalar mass $m^2$, the $U(1)$ charge $q$, and dimension $d$. In particular, for $m^2=0$, we find $\alpha=d-1$, independent of $q$, which can be explained by the near horizon geometry of the low temperature holographic superconductor. Next, we develop a general numerical method to compute the time-dependent complexity by the CV conjecture. By this method, we compute the time-dependent complexity of holographic superconductors. In both normal and superconducting phase, the complexity increases as time goes on and the growth rate saturates to a temperature dependent constant. The higher the temperature is, the bigger the growth rate is. However, the growth rates do not violate the Lloyd's bound in all cases and saturate the Lloyd's bound in the high temperature limit at a late time. |
1010.3927 | David Dudal | D. Dudal and N. Vandersickel | On the reanimation of a local BRST invariance in the (Refined)
Gribov-Zwanziger formalism | 12 pages. v2: updated reference list. v3: version accepted by
PhysLettB | Phys.Lett.B700:369-379,2011 | 10.1016/j.physletb.2011.05.017 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We localize a previously established nonlocal BRST invariance of the
Gribov-Zwanziger (GZ) action by the introduction of additional fields. We
obtain a modified GZ action with a corresponding local BRST invariance. We show
that correlation functions of the original elementary GZ fields do not change
upon evaluation with the modified partition function. We discuss that for
vanishing Gribov mass, we are brought back to the original Yang-Mills theory
with standard BRST invariance.
| [
{
"created": "Tue, 19 Oct 2010 14:25:11 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Oct 2010 14:45:19 GMT",
"version": "v2"
},
{
"created": "Wed, 18 May 2011 14:44:24 GMT",
"version": "v3"
}
] | 2015-03-17 | [
[
"Dudal",
"D.",
""
],
[
"Vandersickel",
"N.",
""
]
] | We localize a previously established nonlocal BRST invariance of the Gribov-Zwanziger (GZ) action by the introduction of additional fields. We obtain a modified GZ action with a corresponding local BRST invariance. We show that correlation functions of the original elementary GZ fields do not change upon evaluation with the modified partition function. We discuss that for vanishing Gribov mass, we are brought back to the original Yang-Mills theory with standard BRST invariance. |
hep-th/9910013 | Liat Maoz | Marc Henneaux, Liat Maoz, Adam Schwimmer | Asymptotic Dynamics and Asymptotic Symmetries of Three-Dimensional
Extended AdS Supergravity | 46 pages,latex2e; added references | Annals Phys. 282 (2000) 31-66 | 10.1006/aphy.2000.5994 | HUTP-99/A050, ULB-TH-99/14, WIS/99-143 | hep-th | null | We investigate systematically the asymptotic dynamics and symmetries of all
three-dimensional extended AdS supergravity models. First, starting from the
Chern-Simons formulation, we show explicitly that the (super)anti-de Sitter
boundary conditions imply that the asymptotic symmetry algebra is the extended
superconformal algebra with quadratic nonlinearies in the currents. We then
derive the super-Liouville action by solving the Chern-Simons theory and obtain
a realization of the superconformal algebras in terms of super-Liouville
fields. Finally, we discuss the possible periodic conditions that can be
imposed on the generators of the algebra and generalize the spectral flow
analysed previously in the context of the $N$-extended linear superconformal
algebras with $N \leq 4$. The $(2+1)$-AdS/2-CFT correspondence sheds a new
light on the properties of the nonlinear superconformal algebras. It also
provides a general and natural interpretation of the spectral flow.
| [
{
"created": "Fri, 1 Oct 1999 19:12:30 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Nov 1999 22:00:22 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Henneaux",
"Marc",
""
],
[
"Maoz",
"Liat",
""
],
[
"Schwimmer",
"Adam",
""
]
] | We investigate systematically the asymptotic dynamics and symmetries of all three-dimensional extended AdS supergravity models. First, starting from the Chern-Simons formulation, we show explicitly that the (super)anti-de Sitter boundary conditions imply that the asymptotic symmetry algebra is the extended superconformal algebra with quadratic nonlinearies in the currents. We then derive the super-Liouville action by solving the Chern-Simons theory and obtain a realization of the superconformal algebras in terms of super-Liouville fields. Finally, we discuss the possible periodic conditions that can be imposed on the generators of the algebra and generalize the spectral flow analysed previously in the context of the $N$-extended linear superconformal algebras with $N \leq 4$. The $(2+1)$-AdS/2-CFT correspondence sheds a new light on the properties of the nonlinear superconformal algebras. It also provides a general and natural interpretation of the spectral flow. |
1111.5624 | Yuji Tachikawa | Christoph A. Keller, Noppadol Mekareeya, Jaewon Song, Yuji Tachikawa | The ABCDEFG of Instantons and W-algebras | 30 pages, 2 figures, v4: a reference added | null | 10.1007/JHEP03(2012)045 | IPMU-11-0191; CALT-68-2855; MPP-2011-130 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For arbitrary gauge groups, we check at the one-instanton level that the
Nekrasov partition function of pure N=2 super Yang-Mills is equal to the norm
of a certain coherent state of the corresponding W-algebra. For
non-simply-laced gauge groups, we confirm in particular that the coherent state
is in the twisted sector of a simply-laced W-algebra.
| [
{
"created": "Wed, 23 Nov 2011 21:10:29 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Jan 2012 01:42:52 GMT",
"version": "v2"
},
{
"created": "Wed, 1 Mar 2023 04:50:30 GMT",
"version": "v3"
},
{
"created": "Mon, 6 Mar 2023 02:10:23 GMT",
"version": "v4"
}
] | 2023-03-07 | [
[
"Keller",
"Christoph A.",
""
],
[
"Mekareeya",
"Noppadol",
""
],
[
"Song",
"Jaewon",
""
],
[
"Tachikawa",
"Yuji",
""
]
] | For arbitrary gauge groups, we check at the one-instanton level that the Nekrasov partition function of pure N=2 super Yang-Mills is equal to the norm of a certain coherent state of the corresponding W-algebra. For non-simply-laced gauge groups, we confirm in particular that the coherent state is in the twisted sector of a simply-laced W-algebra. |
1705.01739 | Masao Ninomiya | Holger Bech Nielsen, Masao Ninomiya | Novel String Field Theory with also Negative Energy Constituents/Objects
gives Veneziano Amplitude | 58 pages, 35 figures | null | 10.1007/JHEP02(2018)097 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We have proposed a new type of string field theory. The main point of the
present article is to cure some technical troubles: missing two out three terms
in veneziano amplitude. Our novel string field theory, describes a theory with
many strings in terms of "objects",which are not exactly, but close to Charles
Thorn's string bits. The new point is that the objects in terms of which the
universe states are constructed,and which have an essentially 26-momentum
variable called J^{\mu}, can have essentially the energy J^0 be also
negative.We get a long way in deriving in this model the veneziano model and
obtain all the three terms needed for a four point amplitude.This result
strongly indicates that our novel string field theory is indeed string theory.
| [
{
"created": "Thu, 4 May 2017 08:39:14 GMT",
"version": "v1"
},
{
"created": "Sun, 7 May 2017 06:00:20 GMT",
"version": "v2"
},
{
"created": "Mon, 25 Dec 2017 11:16:24 GMT",
"version": "v3"
},
{
"created": "Wed, 31 Jan 2018 10:17:21 GMT",
"version": "v4"
}
] | 2018-04-04 | [
[
"Nielsen",
"Holger Bech",
""
],
[
"Ninomiya",
"Masao",
""
]
] | We have proposed a new type of string field theory. The main point of the present article is to cure some technical troubles: missing two out three terms in veneziano amplitude. Our novel string field theory, describes a theory with many strings in terms of "objects",which are not exactly, but close to Charles Thorn's string bits. The new point is that the objects in terms of which the universe states are constructed,and which have an essentially 26-momentum variable called J^{\mu}, can have essentially the energy J^0 be also negative.We get a long way in deriving in this model the veneziano model and obtain all the three terms needed for a four point amplitude.This result strongly indicates that our novel string field theory is indeed string theory. |
1705.03026 | Eliot Hijano | Thomas Faulkner, Felix M. Haehl, Eliot Hijano, Onkar Parrikar, Charles
Rabideau and Mark Van Raamsdonk | Nonlinear Gravity from Entanglement in Conformal Field Theories | 55 pages, 8 figures | null | 10.1007/JHEP08(2017)057 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we demonstrate the emergence of nonlinear gravitational
equations directly from the physics of a broad class of conformal field
theories. We consider CFT excited states defined by adding sources for scalar
primary or stress tensor operators to the Euclidean path integral defining the
vacuum state. For these states, we show that up to second order in the sources,
the entanglement entropy for all ball-shaped regions can always be represented
geometrically (via the Ryu-Takayanagi formula) by an asymptotically AdS
geometry. We show that such a geometry necessarily satisfies Einstein's
equations perturbatively up to second order, with a stress energy tensor
arising from matter fields associated with the sourced primary operators. We
make no assumptions about AdS/CFT duality, so our work serves as both a
consistency check for the AdS/CFT correspondence and a direct demonstration
that spacetime and gravitational physics can emerge from the description of
entanglement in conformal field theories.
| [
{
"created": "Mon, 8 May 2017 18:07:22 GMT",
"version": "v1"
}
] | 2017-09-13 | [
[
"Faulkner",
"Thomas",
""
],
[
"Haehl",
"Felix M.",
""
],
[
"Hijano",
"Eliot",
""
],
[
"Parrikar",
"Onkar",
""
],
[
"Rabideau",
"Charles",
""
],
[
"Van Raamsdonk",
"Mark",
""
]
] | In this paper, we demonstrate the emergence of nonlinear gravitational equations directly from the physics of a broad class of conformal field theories. We consider CFT excited states defined by adding sources for scalar primary or stress tensor operators to the Euclidean path integral defining the vacuum state. For these states, we show that up to second order in the sources, the entanglement entropy for all ball-shaped regions can always be represented geometrically (via the Ryu-Takayanagi formula) by an asymptotically AdS geometry. We show that such a geometry necessarily satisfies Einstein's equations perturbatively up to second order, with a stress energy tensor arising from matter fields associated with the sourced primary operators. We make no assumptions about AdS/CFT duality, so our work serves as both a consistency check for the AdS/CFT correspondence and a direct demonstration that spacetime and gravitational physics can emerge from the description of entanglement in conformal field theories. |
hep-th/0611133 | Spyros Avramis | Spyros D. Avramis | Anomaly-Free Supergravities in Six Dimensions | Ph.D. Thesis (Advisor: A. Kehagias), 178 pages | null | null | null | hep-th | null | This thesis reviews minimal N=2 chiral supergravities coupled to matter in
six dimensions with emphasis on anomaly cancellation. In general,
six-dimensional chiral supergravities suffer from gravitational, gauge and
mixed anomalies which render the theories inconsistent at the quantum level.
Consistency is restored if the anomalies of the theory cancel via the
Green-Schwarz mechanism or generalizations thereof. The anomaly cancellation
conditions translate into a certain set of constraints for the gauge group of
the theory as well as on its matter content. For the case of ungauged theories
these constraints admit numerous solutions but, in the case of gauged theories,
the allowed solutions are remarkably few. In this thesis, we examine these
anomaly cancellation conditions in detail and we present all solutions to these
conditions under certain restrictions on the allowed gauge groups and
representations, imposed for practical reasons. We also briefly examine anomaly
cancellation in the context of Horava-Witten-type compactifications of minimal
seven-dimensional supergravity. Finally, we discuss some basic aspects of 4D
compactifications of the gauged models.
| [
{
"created": "Sun, 12 Nov 2006 12:49:21 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Avramis",
"Spyros D.",
""
]
] | This thesis reviews minimal N=2 chiral supergravities coupled to matter in six dimensions with emphasis on anomaly cancellation. In general, six-dimensional chiral supergravities suffer from gravitational, gauge and mixed anomalies which render the theories inconsistent at the quantum level. Consistency is restored if the anomalies of the theory cancel via the Green-Schwarz mechanism or generalizations thereof. The anomaly cancellation conditions translate into a certain set of constraints for the gauge group of the theory as well as on its matter content. For the case of ungauged theories these constraints admit numerous solutions but, in the case of gauged theories, the allowed solutions are remarkably few. In this thesis, we examine these anomaly cancellation conditions in detail and we present all solutions to these conditions under certain restrictions on the allowed gauge groups and representations, imposed for practical reasons. We also briefly examine anomaly cancellation in the context of Horava-Witten-type compactifications of minimal seven-dimensional supergravity. Finally, we discuss some basic aspects of 4D compactifications of the gauged models. |
1701.00006 | Hong Lu | Xing-Hui Feng, Wei-Jian Geng and H. Lu | Time Machines and AdS Solitons with Negative Mass | Latex, 32 pages | Phys. Rev. D 95, 084013 (2017) | 10.1103/PhysRevD.95.084013 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that in D=2n+1 dimensions, when mass is negative and all angular
momenta are non-vanishing, Kerr and Kerr-AdS metrics describe smooth time
machines, with no curvature singularity. Turning off the angular momenta
appropriately can lead to static AdS solitons with negative mass. Setting zero
the cosmological constant yields a class of Ricci-flat K\"ahler metrics in D=2n
dimensions. We also show that Euclidean-signatured AdS solitons with negative
mass can also arise in odd dimensions. We then construct time machines in D=5
minimal gauged supergravity that carry only magnetic dipole charges. Turning
off the cosmological constant, the time machine becomes massless and
asymptotically flat. It can be described as a constant time bundle over the
Eguchi-Hanson instanton.
| [
{
"created": "Fri, 30 Dec 2016 21:00:01 GMT",
"version": "v1"
}
] | 2017-04-19 | [
[
"Feng",
"Xing-Hui",
""
],
[
"Geng",
"Wei-Jian",
""
],
[
"Lu",
"H.",
""
]
] | We show that in D=2n+1 dimensions, when mass is negative and all angular momenta are non-vanishing, Kerr and Kerr-AdS metrics describe smooth time machines, with no curvature singularity. Turning off the angular momenta appropriately can lead to static AdS solitons with negative mass. Setting zero the cosmological constant yields a class of Ricci-flat K\"ahler metrics in D=2n dimensions. We also show that Euclidean-signatured AdS solitons with negative mass can also arise in odd dimensions. We then construct time machines in D=5 minimal gauged supergravity that carry only magnetic dipole charges. Turning off the cosmological constant, the time machine becomes massless and asymptotically flat. It can be described as a constant time bundle over the Eguchi-Hanson instanton. |
1603.03291 | \'Arp\'ad Luk\'acs | Peter Forgacs, \'Arp\'ad Luk\'acs | Vortices with scalar condensates in two-component Ginzburg-Landau
systems | 11 pages, 1 figure | null | 10.1016/j.physletb.2016.09.003 | null | hep-th cond-mat.supr-con | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a class of two-component Ginzburg-Landau models (TCGL) with a
U(1)$\times$U(1) symmetric potential, vortices with a condensate at their core
may have significantly lower energies than the Abrikosov-Nielsen-Olesen (ANO)
ones. On the example of liquid metallic hydrogen (LMH) above the critical
temperature for protons we show that the ANO vortices become unstable against
core-condensation, while condensate-core (CC) vortices are stable. For LMH the
ratio of the masses of the two types of condensates, $M=m_2/m_1$ is large, and
then as a consequence the energy per flux quantum of the vortices, $E_n/n$
becomes a non-monotonous function of the number of flux quanta, $n$. This leads
to yet another manifestation of neither type 1 nor type 2, (type 1.5)
superconductivity: superconducting and normal domains coexist while various
"giant" vortices form. We note that LMH provides a particularly clean example
of type 1.5 state as the interband coupling between electronic and protonic
Cooper-pairs is forbidden.
| [
{
"created": "Thu, 10 Mar 2016 15:01:49 GMT",
"version": "v1"
}
] | 2016-09-21 | [
[
"Forgacs",
"Peter",
""
],
[
"Lukács",
"Árpád",
""
]
] | In a class of two-component Ginzburg-Landau models (TCGL) with a U(1)$\times$U(1) symmetric potential, vortices with a condensate at their core may have significantly lower energies than the Abrikosov-Nielsen-Olesen (ANO) ones. On the example of liquid metallic hydrogen (LMH) above the critical temperature for protons we show that the ANO vortices become unstable against core-condensation, while condensate-core (CC) vortices are stable. For LMH the ratio of the masses of the two types of condensates, $M=m_2/m_1$ is large, and then as a consequence the energy per flux quantum of the vortices, $E_n/n$ becomes a non-monotonous function of the number of flux quanta, $n$. This leads to yet another manifestation of neither type 1 nor type 2, (type 1.5) superconductivity: superconducting and normal domains coexist while various "giant" vortices form. We note that LMH provides a particularly clean example of type 1.5 state as the interband coupling between electronic and protonic Cooper-pairs is forbidden. |
1404.0137 | Yoshiyuki Tatsuta | Hiroyuki Abe, Tatsuo Kobayashi, Hiroshi Ohki, Keigo Sumita and
Yoshiyuki Tatsuta | Non-Abelian discrete flavor symmetries of 10D SYM theory with magnetized
extra dimensions | 40 pages, 22 figures | null | 10.1007/JHEP06(2014)017 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study discrete flavor symmetries of the models based on a ten-dimensional
supersymmetric Yang-Mills (10D SYM) theory compactified on magnetized tori. We
assume non-vanishing non-factorizable fluxes as well as the orbifold
projections. These setups allow model-building with more various flavor
structures. Indeed, we show that there exist various classes of non-Abelian
discrete flavor symmetries. In particular, we find that $S_3$ flavor symmetries
can be realized in the framework of the magnetized 10D SYM theory for the first
time.
| [
{
"created": "Tue, 1 Apr 2014 06:18:17 GMT",
"version": "v1"
}
] | 2015-06-19 | [
[
"Abe",
"Hiroyuki",
""
],
[
"Kobayashi",
"Tatsuo",
""
],
[
"Ohki",
"Hiroshi",
""
],
[
"Sumita",
"Keigo",
""
],
[
"Tatsuta",
"Yoshiyuki",
""
]
] | We study discrete flavor symmetries of the models based on a ten-dimensional supersymmetric Yang-Mills (10D SYM) theory compactified on magnetized tori. We assume non-vanishing non-factorizable fluxes as well as the orbifold projections. These setups allow model-building with more various flavor structures. Indeed, we show that there exist various classes of non-Abelian discrete flavor symmetries. In particular, we find that $S_3$ flavor symmetries can be realized in the framework of the magnetized 10D SYM theory for the first time. |
1012.2103 | Euihun Joung | Xavier Bekaert, Euihun Joung and Jihad Mourad | Effective action in a higher-spin background | 40 pages, Some errors and typos corrected, Version published in JHEP | JHEP 1102:048,2011 | 10.1007/JHEP02(2011)048 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a free massless scalar field coupled to an infinite tower of
background higher-spin gauge fields via minimal coupling to the traceless
conserved currents. The set of Abelian gauge transformations is deformed to the
non-Abelian group of unitary operators acting on the scalar field. The gauge
invariant effective action is computed perturbatively in the external fields.
The structure of the various (divergent or finite) terms is determined. In
particular, the quadratic part of the logarithmically divergent (or of the
finite) term is expressed in terms of curvatures and related to conformal
higher-spin gravity. The generalized higher-spin Weyl anomalies are also
determined. The relation with the theory of interacting higher-spin gauge
fields on anti de Sitter spacetime via the holographic correspondence is
discussed.
| [
{
"created": "Thu, 9 Dec 2010 20:28:26 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Dec 2010 13:56:00 GMT",
"version": "v2"
},
{
"created": "Sat, 19 Feb 2011 16:54:24 GMT",
"version": "v3"
}
] | 2011-02-22 | [
[
"Bekaert",
"Xavier",
""
],
[
"Joung",
"Euihun",
""
],
[
"Mourad",
"Jihad",
""
]
] | We consider a free massless scalar field coupled to an infinite tower of background higher-spin gauge fields via minimal coupling to the traceless conserved currents. The set of Abelian gauge transformations is deformed to the non-Abelian group of unitary operators acting on the scalar field. The gauge invariant effective action is computed perturbatively in the external fields. The structure of the various (divergent or finite) terms is determined. In particular, the quadratic part of the logarithmically divergent (or of the finite) term is expressed in terms of curvatures and related to conformal higher-spin gravity. The generalized higher-spin Weyl anomalies are also determined. The relation with the theory of interacting higher-spin gauge fields on anti de Sitter spacetime via the holographic correspondence is discussed. |
hep-th/9806154 | Herrera Aguilar Alfredo | Alfredo Herrera-Aguilar and Oleg Kechkin | Israel--Wilson--Perj\'es Solutions in Heterotic String Theory | 14 pages in LaTex. We have omited a reference in the abstract for the
online listings | Int.J.Mod.Phys.A14:1345-1356,1999 | 10.1142/S0217751X99000701 | null | hep-th | null | We present a simple algorithm to obtain solutions that generalize the
Israel--Wilson--Perj\'es class for the low-energy limit of heterotic string
theory toroidally compactified from D=d+3 to three dimensions. A remarkable map
existing between the Einstein--Maxwell (EM) theory and the theory under
consideration allows us to solve directly the equations of motion making use of
the matrix Ernst potentials connected with the coset matrix of heterotic string
theory. For the particular case d=1 (if we put n=6, the resulting theory can be
considered as the bosonic part of the action of D=4, N=4 supergravity) we
obtain explicitly a dyonic solution in terms of one real 2\times 2--matrix
harmonic function and 2n real constants (n being the number of Abelian vector
fields). By studying the asymptotic behaviour of the field configurations we
define the charges of the system. They satisfy the
Bogomol'nyi--Prasad--Sommmerfeld (BPS) bound.
| [
{
"created": "Thu, 18 Jun 1998 16:34:14 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Jun 1998 16:29:11 GMT",
"version": "v2"
}
] | 2010-11-19 | [
[
"Herrera-Aguilar",
"Alfredo",
""
],
[
"Kechkin",
"Oleg",
""
]
] | We present a simple algorithm to obtain solutions that generalize the Israel--Wilson--Perj\'es class for the low-energy limit of heterotic string theory toroidally compactified from D=d+3 to three dimensions. A remarkable map existing between the Einstein--Maxwell (EM) theory and the theory under consideration allows us to solve directly the equations of motion making use of the matrix Ernst potentials connected with the coset matrix of heterotic string theory. For the particular case d=1 (if we put n=6, the resulting theory can be considered as the bosonic part of the action of D=4, N=4 supergravity) we obtain explicitly a dyonic solution in terms of one real 2\times 2--matrix harmonic function and 2n real constants (n being the number of Abelian vector fields). By studying the asymptotic behaviour of the field configurations we define the charges of the system. They satisfy the Bogomol'nyi--Prasad--Sommmerfeld (BPS) bound. |
1309.3638 | Marco Panero | Biagio Lucini and Marco Panero | Introductory lectures to large-N QCD phenomenology and lattice results | 60 pages, 25 eps figures, prepared for submission to Progress in
Particle and Nuclear Physics; v2: minor text revision, added references:
version published in the journal | Prog. Part. Nucl. Phys. 75 (2014) 1-40 | 10.1016/j.ppnp.2014.01.001 | HIP-2013-18/TH, IFT-UAM/CSIC-13-096 | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An elementary, pedagogical introduction to the large-N limit of QCD and to
its phenomenological implications is presented, and a survey of lattice results
in the 't Hooft limit is briefly discussed.
| [
{
"created": "Sat, 14 Sep 2013 09:17:35 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Mar 2014 17:47:02 GMT",
"version": "v2"
}
] | 2014-03-05 | [
[
"Lucini",
"Biagio",
""
],
[
"Panero",
"Marco",
""
]
] | An elementary, pedagogical introduction to the large-N limit of QCD and to its phenomenological implications is presented, and a survey of lattice results in the 't Hooft limit is briefly discussed. |
hep-th/0310001 | Elias Kiritsis | Elias Kiritsis | D-branes in Standard Model building, Gravity and Cosmology | 132 pages, 7 eps figures, LateX, feynmf package. This version will
appear in Physics Reports. It contains new sections on concrete interesecting
brane orientifolds, brane-antibrane cosmology and cosmological brane-bulk
energy exchange | Phys.Rept.421:105-190,2005; Erratum-ibid.429:121-122,2006;
Fortsch.Phys.52:200-263,2004 | 10.1016/j.physrep.2005.09.001 10.1002/prop.200310120 | null | hep-th gr-qc hep-ph | null | D-branes are by now an integral part of our toolbox towards understanding
nature. In this review we will describe recent progress in their use to realize
fundamental interactions. The realization of the Standard Model and relevant
physics and problems will be detailed. New ideas on realizing 4-dimensional
gravity use the brane idea in an important way. Such approaches will be
reviewed and compared to the standard paradigm of compactification. Branes can
play a pivotal role both in early- and late-universe cosmology mainly via the
brane-universe paradigm. Brane realizations of various cosmological ideas
(early inflation, sources for dark matter and dark energy, massive gravity etc)
will be also reviewed.
| [
{
"created": "Tue, 30 Sep 2003 21:24:52 GMT",
"version": "v1"
},
{
"created": "Fri, 14 May 2004 00:45:19 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Kiritsis",
"Elias",
""
]
] | D-branes are by now an integral part of our toolbox towards understanding nature. In this review we will describe recent progress in their use to realize fundamental interactions. The realization of the Standard Model and relevant physics and problems will be detailed. New ideas on realizing 4-dimensional gravity use the brane idea in an important way. Such approaches will be reviewed and compared to the standard paradigm of compactification. Branes can play a pivotal role both in early- and late-universe cosmology mainly via the brane-universe paradigm. Brane realizations of various cosmological ideas (early inflation, sources for dark matter and dark energy, massive gravity etc) will be also reviewed. |
hep-th/0309041 | Harald Nieder | Harald Ita, Harald Nieder, Yaron Oz | Gravitational F-terms of N=1 Supersymmetric SU(N) Gauge Theories | 25 pages, v2: minor changes in section 4, references added | JHEP 0312:046,2003 | 10.1088/1126-6708/2003/12/046 | CERN-TH/2003-196, TAUP-2745-03 | hep-th | null | We use the generalized Konishi anomaly equations and R-symmetry anomaly to
compute the exact perturbative and non-perturbative gravitational F-terms of
four-dimensional N=1 supersymmetric gauge theories. We formulate the general
procedure for computation and consider chiral and non-chiral SU(N) gauge
theories.
| [
{
"created": "Wed, 3 Sep 2003 18:19:11 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Jan 2004 11:15:54 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Ita",
"Harald",
""
],
[
"Nieder",
"Harald",
""
],
[
"Oz",
"Yaron",
""
]
] | We use the generalized Konishi anomaly equations and R-symmetry anomaly to compute the exact perturbative and non-perturbative gravitational F-terms of four-dimensional N=1 supersymmetric gauge theories. We formulate the general procedure for computation and consider chiral and non-chiral SU(N) gauge theories. |
1207.4399 | Laurent Baulieu | Laurent Baulieu, Marc Bellon and Valentin Reys | Twisted N=1, d=4 supergravity and its symmetries | Added references and corrected misprints | Nuclear Physics B 867 (2013) 330-353 | 10.1016/j.nuclphysb.2012.10.007 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We display the construction of a twisted superalgebra for the N=1 Euclidian
supergravity on 4-manifolds with an almost complex structure. It acts on a
representation of twisted supersymmetry made of forms with odd and even
statistics and it is covariant under a SU(2)\subset SO(4) Lorentz invariance of
the manifold's tangent-space. It contains 4 twisted supersymmetry generators,
one nilpotent scalar, one vector and one pseudo-scalar. The superalgebra closes
on the twisted fields of supergravity in its new minimal set of auxiliary
fields. Its couplings to the twisted Wess and Zumino and vector multiplets are
also determined.
| [
{
"created": "Wed, 18 Jul 2012 15:29:40 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Jul 2012 07:30:59 GMT",
"version": "v2"
},
{
"created": "Wed, 21 Nov 2012 17:09:36 GMT",
"version": "v3"
}
] | 2012-11-22 | [
[
"Baulieu",
"Laurent",
""
],
[
"Bellon",
"Marc",
""
],
[
"Reys",
"Valentin",
""
]
] | We display the construction of a twisted superalgebra for the N=1 Euclidian supergravity on 4-manifolds with an almost complex structure. It acts on a representation of twisted supersymmetry made of forms with odd and even statistics and it is covariant under a SU(2)\subset SO(4) Lorentz invariance of the manifold's tangent-space. It contains 4 twisted supersymmetry generators, one nilpotent scalar, one vector and one pseudo-scalar. The superalgebra closes on the twisted fields of supergravity in its new minimal set of auxiliary fields. Its couplings to the twisted Wess and Zumino and vector multiplets are also determined. |
1212.1960 | Jia-ju Zhang | Bin Chen and Jia-ju Zhang | Electromagnetic Duality in Dyonic RN/CFT Correspondence | 5 pages, published version | Phys. Rev. D 87, 081505(R) (2013) | 10.1103/PhysRevD.87.081505 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The area law of Bekenstein-Hawking entropy of the black hole suggests that
the black hole should have a lower-dimensional holographic description. It has
been found recently that such holographic pictures could be set up from the
study of the thermodynamics of both outer and inner horizons for a large class
of rotating and charged black holes. For a four-dimensional dyonic
Reissner-Nordstr\"om black hole, its thermodynamics indicates that it has
multiple holographic pictures not only the electric and magnetic ones
corresponding to the conserved electric and magnetic charges carried by the
black hole, but also the more generic ones generated by the $SL(2,Z)$
transformations. We show that this $SL(2,Z)$ group originates from the
underlying electromagnetic duality symmetry in the Einstein-Maxwell theory. It
turns out that the thermodynamics of the black hole not only encodes the
information of holographic pictures; moreover it could reflect the symmetries
of the underlying theory.
| [
{
"created": "Mon, 10 Dec 2012 03:19:53 GMT",
"version": "v1"
},
{
"created": "Sun, 12 May 2013 10:45:14 GMT",
"version": "v2"
}
] | 2013-05-14 | [
[
"Chen",
"Bin",
""
],
[
"Zhang",
"Jia-ju",
""
]
] | The area law of Bekenstein-Hawking entropy of the black hole suggests that the black hole should have a lower-dimensional holographic description. It has been found recently that such holographic pictures could be set up from the study of the thermodynamics of both outer and inner horizons for a large class of rotating and charged black holes. For a four-dimensional dyonic Reissner-Nordstr\"om black hole, its thermodynamics indicates that it has multiple holographic pictures not only the electric and magnetic ones corresponding to the conserved electric and magnetic charges carried by the black hole, but also the more generic ones generated by the $SL(2,Z)$ transformations. We show that this $SL(2,Z)$ group originates from the underlying electromagnetic duality symmetry in the Einstein-Maxwell theory. It turns out that the thermodynamics of the black hole not only encodes the information of holographic pictures; moreover it could reflect the symmetries of the underlying theory. |
1306.1115 | Stefano Bellucci | S. Bellucci, S.Krivonos and A. Sutulin | Supersymmetric component actions via coset approach | 12 pages, PACS: 11.30.Pb, 12.60.Jv | null | 10.1016/j.physletb.2013.08.061 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a method to construct the on-shell component actions for the
theories with $1/2$ partial breaking of global supersymmetry within the
nonlinear realization (coset) approach. In contrast with the standard
superfield approach in which unbroken supersymmetry plays the leading role, we
have shifted the attention to the spontaneously broken supersymmetry. It turns
out that in the theories in which half of supersymmetries is spontaneously
broken, all physical fermions are just the fermions of the nonlinear
realization. Moreover, the transformation properties of these fermions with
respect to the broken supersymmetry are the same as in the famous Volkov-Akulov
model. Just this fact completely fixed all possible appearances of the fermions
in the component action: they can enter the action through the determinant of
the vielbein (to compensate the transformation of the volume form) and the
covariant derivatives, only. It is very important that in our parametrization
of the coset the rest of physical components, i.e. all bosonic components,
transform as ``matter fields'' with respect to the broken supersymmetry.
Clearly, in such a situation the component action acquires the form of the
Volkov-Akulov action for these ``matter fields''. The complete form of the
action can be further fixed by two additional requirements: a) to reproduce the
bosonic limit, which is explicitly known in many interesting cases, and b) to
have a proper linearized form, which has to be invariant with respect to the
linearized unbroken supersymmetry. We supply the general consideration by a
detailed example of the component action of $N=1$ supermembrane in $D=4$
constructed within our procedure. In this case we provide the exact proof of
the invariance of the constructed component action with respect to both, broken
and unbroken supersymmetries.
| [
{
"created": "Wed, 5 Jun 2013 14:22:26 GMT",
"version": "v1"
}
] | 2015-06-16 | [
[
"Bellucci",
"S.",
""
],
[
"Krivonos",
"S.",
""
],
[
"Sutulin",
"A.",
""
]
] | We propose a method to construct the on-shell component actions for the theories with $1/2$ partial breaking of global supersymmetry within the nonlinear realization (coset) approach. In contrast with the standard superfield approach in which unbroken supersymmetry plays the leading role, we have shifted the attention to the spontaneously broken supersymmetry. It turns out that in the theories in which half of supersymmetries is spontaneously broken, all physical fermions are just the fermions of the nonlinear realization. Moreover, the transformation properties of these fermions with respect to the broken supersymmetry are the same as in the famous Volkov-Akulov model. Just this fact completely fixed all possible appearances of the fermions in the component action: they can enter the action through the determinant of the vielbein (to compensate the transformation of the volume form) and the covariant derivatives, only. It is very important that in our parametrization of the coset the rest of physical components, i.e. all bosonic components, transform as ``matter fields'' with respect to the broken supersymmetry. Clearly, in such a situation the component action acquires the form of the Volkov-Akulov action for these ``matter fields''. The complete form of the action can be further fixed by two additional requirements: a) to reproduce the bosonic limit, which is explicitly known in many interesting cases, and b) to have a proper linearized form, which has to be invariant with respect to the linearized unbroken supersymmetry. We supply the general consideration by a detailed example of the component action of $N=1$ supermembrane in $D=4$ constructed within our procedure. In this case we provide the exact proof of the invariance of the constructed component action with respect to both, broken and unbroken supersymmetries. |
1304.4949 | Alessandro Pilloni | M. Bochicchio, A. Pilloni | Gauge theories in anti-selfdual variables | 19 pages; paper shortened and sharpened according to the referee
suggestions | JHEP 09 (2013) 039 | 10.1007/JHEP09(2013)039 | null | hep-th hep-ph math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Some years ago the Nicolai map, viewed as a change of variables from the
gauge connection in a fixed gauge to the anti-selfdual part of the curvature,
has been extended by the first named author to pure YM from its original
definition in N=1 SUSY YM. We study here the perturbative 1PI effective action
in the anti-selfdual variables of any gauge theory, in particular pure YM, QCD
and N=1 SUSY YM. We prove that the one-loop 1PI effective action of a gauge
theory mapped to the anti-selfdual variables in any gauge is identical to the
one of the original theory. This is due to the conspiracy between the Jacobian
of the change to the anti-selfdual variables and an extra functional
determinant that arises from the non-linearity of the coupling of the
anti-selfdual curvature to an external source in the Legendre transform that
defines the 1PI effective action. Hence we establish the one-loop perturbative
equivalence of the mapped and original theories on the basis of the identity of
the one-loop 1PI effective actions. Besides, we argue that the identity of the
perturbative 1PI effective actions extends order by order in perturbation
theory.
| [
{
"created": "Wed, 17 Apr 2013 20:03:07 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Jun 2013 17:09:36 GMT",
"version": "v2"
},
{
"created": "Thu, 1 Aug 2013 16:14:33 GMT",
"version": "v3"
}
] | 2013-09-12 | [
[
"Bochicchio",
"M.",
""
],
[
"Pilloni",
"A.",
""
]
] | Some years ago the Nicolai map, viewed as a change of variables from the gauge connection in a fixed gauge to the anti-selfdual part of the curvature, has been extended by the first named author to pure YM from its original definition in N=1 SUSY YM. We study here the perturbative 1PI effective action in the anti-selfdual variables of any gauge theory, in particular pure YM, QCD and N=1 SUSY YM. We prove that the one-loop 1PI effective action of a gauge theory mapped to the anti-selfdual variables in any gauge is identical to the one of the original theory. This is due to the conspiracy between the Jacobian of the change to the anti-selfdual variables and an extra functional determinant that arises from the non-linearity of the coupling of the anti-selfdual curvature to an external source in the Legendre transform that defines the 1PI effective action. Hence we establish the one-loop perturbative equivalence of the mapped and original theories on the basis of the identity of the one-loop 1PI effective actions. Besides, we argue that the identity of the perturbative 1PI effective actions extends order by order in perturbation theory. |
0705.1871 | Alexei Sharapov | S.L. Lyakhovich and A.A. Sharapov | Quantization of Donaldson-Uhlenbeck-Yau theory | 13pages | Phys.Lett.B656:265-271,2007 | 10.1016/j.physletb.2007.09.029 | null | hep-th | null | A covariant path-integral quantization is proposed for the non-Lagrangian
gauge theory described by the Donaldson-Uhlenbeck-Yau equation. The
corresponding partition function is shown to admit a nice path-integral
representation in terms of the gauged G/G K\"ahler WZW model. A relationship
with the $J$-formulation of the anti-self-dual Yang-Mills theory is explored.
| [
{
"created": "Mon, 14 May 2007 15:25:16 GMT",
"version": "v1"
},
{
"created": "Thu, 24 May 2007 15:19:36 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Lyakhovich",
"S. L.",
""
],
[
"Sharapov",
"A. A.",
""
]
] | A covariant path-integral quantization is proposed for the non-Lagrangian gauge theory described by the Donaldson-Uhlenbeck-Yau equation. The corresponding partition function is shown to admit a nice path-integral representation in terms of the gauged G/G K\"ahler WZW model. A relationship with the $J$-formulation of the anti-self-dual Yang-Mills theory is explored. |
2107.07444 | Hyun-Sik Jeong | Byoungjoon Ahn, Sang-Eon Bak, Hyun-Sik Jeong, Keun-Young Kim, Ya-Wen
Sun | Islands in charged linear dilaton black holes | v1: 20 pages, 4 figures; v2: minor edits, references added | Phys. Rev. D 105, 046012 (2022) | 10.1103/PhysRevD.105.046012 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the Page curve for a non-standard black hole which is
asymptotically non-flat/AdS/dS. For this purpose, we apply the island
prescription to the charged linear dilaton black holes and analyze, in detail,
the entanglement entropy of Hawking radiation for both the non-extremal case
and the extremal case. In the non-extremal case, we find the Page curve
consistent with the unitarity principle: at early times the entanglement
entropy grows linearly in time without the island and at late times it is
saturated double of the Bekenstein-Hawking entropy in the presence of the
island. We observe the Page time is universal for all different models studied
by our method: $t_{\text{Page}}=\frac{3}{ \pi c}\frac{S_{\text{BH}}}{T_H}.$ For
the extremal case, the island prescription provides the well defined
entanglement entropy only with the island, which can not be obtained from the
continuous limit of the non-extremal case. This implies that the Page curve may
not be reproduced for the extremal case and further investigation is needed.
| [
{
"created": "Thu, 15 Jul 2021 16:45:20 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Jul 2021 14:28:53 GMT",
"version": "v2"
}
] | 2024-07-01 | [
[
"Ahn",
"Byoungjoon",
""
],
[
"Bak",
"Sang-Eon",
""
],
[
"Jeong",
"Hyun-Sik",
""
],
[
"Kim",
"Keun-Young",
""
],
[
"Sun",
"Ya-Wen",
""
]
] | We investigate the Page curve for a non-standard black hole which is asymptotically non-flat/AdS/dS. For this purpose, we apply the island prescription to the charged linear dilaton black holes and analyze, in detail, the entanglement entropy of Hawking radiation for both the non-extremal case and the extremal case. In the non-extremal case, we find the Page curve consistent with the unitarity principle: at early times the entanglement entropy grows linearly in time without the island and at late times it is saturated double of the Bekenstein-Hawking entropy in the presence of the island. We observe the Page time is universal for all different models studied by our method: $t_{\text{Page}}=\frac{3}{ \pi c}\frac{S_{\text{BH}}}{T_H}.$ For the extremal case, the island prescription provides the well defined entanglement entropy only with the island, which can not be obtained from the continuous limit of the non-extremal case. This implies that the Page curve may not be reproduced for the extremal case and further investigation is needed. |
2205.13551 | Rahim Leung | Rahim Leung, K. S. Stelle | Supergravities on Branes | 33 pages | null | 10.1007/JHEP09(2022)099 | Imperial/TP/2022/KS/02 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Supergravity brane solutions allow for a generalised type of Kaluza-Klein
reduction onto brane worldvolumes. The known replacement of a flat worldvolume
metric by a Ricci-flat metric constitutes a consistent Kaluza-Klein truncation
of the starting higher-dimensional supergravity theory down to a
lower-dimensional pure gravity theory.
This paper shows how to extend such a brane-worldvolume pure-gravity
consistent truncation to that for a full nonlinear supergravity theory for the
Type IIB D3-brane and the M-theory/Type IIA M5-brane. The extension of
worldvolume supersymmetry is given by the unbroken supersymmetry of the
original flat "skeleton" brane. Compatibility with further worldvolume diagonal
and transverse vertical dimensional reductions is also shown, providing the
brane-worldvolume supergravity embeddings of all descendants of the skeleton
D3- and M5-branes. Examples are given of brane-worldvolume supergravity
solutions embedded into the corresponding higher-dimensional supergravities.
| [
{
"created": "Thu, 26 May 2022 18:00:01 GMT",
"version": "v1"
}
] | 2022-09-20 | [
[
"Leung",
"Rahim",
""
],
[
"Stelle",
"K. S.",
""
]
] | Supergravity brane solutions allow for a generalised type of Kaluza-Klein reduction onto brane worldvolumes. The known replacement of a flat worldvolume metric by a Ricci-flat metric constitutes a consistent Kaluza-Klein truncation of the starting higher-dimensional supergravity theory down to a lower-dimensional pure gravity theory. This paper shows how to extend such a brane-worldvolume pure-gravity consistent truncation to that for a full nonlinear supergravity theory for the Type IIB D3-brane and the M-theory/Type IIA M5-brane. The extension of worldvolume supersymmetry is given by the unbroken supersymmetry of the original flat "skeleton" brane. Compatibility with further worldvolume diagonal and transverse vertical dimensional reductions is also shown, providing the brane-worldvolume supergravity embeddings of all descendants of the skeleton D3- and M5-branes. Examples are given of brane-worldvolume supergravity solutions embedded into the corresponding higher-dimensional supergravities. |
1804.00424 | Vladimir V Belokurov | V.V. Belokurov and E.T. Shavgulidze | Correlation functions in the Schwarzian theory | 29 pages, 3 figures | null | 10.1007/JHEP11(2018)036 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A mathematically correct approach to study theories with infinite-dimensional
groups of symmetries is presented. It is based on quasi-invariant measures on
the groups. In this paper, the properties of the measure on the group of
diffeomorphisms are used to evaluate the functional integrals in the Schwarzian
theory. As an important example of the application of the new technique, we
explicitly evaluate the correlation functions in the Schwarzian theory.
| [
{
"created": "Mon, 2 Apr 2018 07:52:42 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Apr 2018 07:25:36 GMT",
"version": "v2"
}
] | 2018-12-05 | [
[
"Belokurov",
"V. V.",
""
],
[
"Shavgulidze",
"E. T.",
""
]
] | A mathematically correct approach to study theories with infinite-dimensional groups of symmetries is presented. It is based on quasi-invariant measures on the groups. In this paper, the properties of the measure on the group of diffeomorphisms are used to evaluate the functional integrals in the Schwarzian theory. As an important example of the application of the new technique, we explicitly evaluate the correlation functions in the Schwarzian theory. |
2208.09387 | Akash Singh | Akash Singh and K. P. Yogendran | Phases of a 10-D Holographic hard wall model | Several figures; sections added | null | 10.1007/JHEP02(2023)168 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | In this article, we study the finite temperature properties of a 10-D version
of a hardwall model for QCD. Introducing fundamental matter via probe D7-branes
and separate cutoffs for the branes and the bulk, we present a detailed
exploration of the phases for varying temperature and quark mass. Finite
thermodynamic quantities are calculated using the procedure of holographic
renormalization and used to characterize the phases. Finally, by fitting
glueball and vector meson masses, we show how a unique phase diagram can be
isolated.
| [
{
"created": "Fri, 19 Aug 2022 15:06:26 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Jan 2023 10:27:10 GMT",
"version": "v2"
}
] | 2023-03-22 | [
[
"Singh",
"Akash",
""
],
[
"Yogendran",
"K. P.",
""
]
] | In this article, we study the finite temperature properties of a 10-D version of a hardwall model for QCD. Introducing fundamental matter via probe D7-branes and separate cutoffs for the branes and the bulk, we present a detailed exploration of the phases for varying temperature and quark mass. Finite thermodynamic quantities are calculated using the procedure of holographic renormalization and used to characterize the phases. Finally, by fitting glueball and vector meson masses, we show how a unique phase diagram can be isolated. |
1912.10805 | Sriram Ganeshan | Sriram Ganeshan and Alexios P. Polychronakos | Lyapunov exponents and entanglement entropy transition on the
noncommutative hyperbolic plane | 24 pages, 4 figures | SciPost Phys. Core 3, 003 (2020) | 10.21468/SciPostPhysCore.3.1.003 | null | hep-th math-ph math.MP nlin.CD quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study quantum dynamics on noncommutative spaces of negative curvature,
focusing on the hyperbolic plane with spatial noncommutativity in the presence
of a constant magnetic field. We show that the synergy of noncommutativity and
the magnetic field tames the exponential divergence of operator growth caused
by the negative curvature of the hyperbolic space. Their combined effect
results in a first-order transition at a critical value of the magnetic field
in which strong quantum effects subdue the exponential divergence for {\it all}
energies, in stark contrast to the commutative case, where for high enough
energies operator growth always diverge exponentially. This transition
manifests in the entanglement entropy between the `left' and `right' Hilbert
spaces of spatial degrees of freedom. In particular, the entanglement entropy
in the lowest Landau level vanishes beyond the critical point. We further
present a non-linear solvable bosonic model that realizes the underlying
algebraic structure of the noncommutative hyperbolic plane with a magnetic
field.
| [
{
"created": "Wed, 11 Dec 2019 05:14:49 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Dec 2019 18:06:27 GMT",
"version": "v2"
},
{
"created": "Wed, 22 Jul 2020 01:53:49 GMT",
"version": "v3"
}
] | 2023-12-01 | [
[
"Ganeshan",
"Sriram",
""
],
[
"Polychronakos",
"Alexios P.",
""
]
] | We study quantum dynamics on noncommutative spaces of negative curvature, focusing on the hyperbolic plane with spatial noncommutativity in the presence of a constant magnetic field. We show that the synergy of noncommutativity and the magnetic field tames the exponential divergence of operator growth caused by the negative curvature of the hyperbolic space. Their combined effect results in a first-order transition at a critical value of the magnetic field in which strong quantum effects subdue the exponential divergence for {\it all} energies, in stark contrast to the commutative case, where for high enough energies operator growth always diverge exponentially. This transition manifests in the entanglement entropy between the `left' and `right' Hilbert spaces of spatial degrees of freedom. In particular, the entanglement entropy in the lowest Landau level vanishes beyond the critical point. We further present a non-linear solvable bosonic model that realizes the underlying algebraic structure of the noncommutative hyperbolic plane with a magnetic field. |
hep-th/0112038 | Dmitri Galtsov | D. V. Gal'tsov | Gravitating lumps | A written version of the talk given at the 16th International
Conference on General Relativity and Gravitation, held on July 15-21, 2001,
in Durban, South Africa. Latex error on the title page corrected. New
references added | null | 10.1142/9789812776556_0006 | DTP-MSU/01-21 | hep-th gr-qc | null | Recent progress in the study of solitons and black holes in non-Abelian field
theories coupled to gravity is reviewed. New topics include gravitational
binding of monopoles, black holes with non-trivial topology, Lue-Weinberg
bifurcation, asymptotically AdS lumps, solutions to the Freedman-Schwarz model
with applications to holography, non-Abelian Born-Infeld solutions
| [
{
"created": "Wed, 5 Dec 2001 16:35:10 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Dec 2001 20:59:10 GMT",
"version": "v2"
},
{
"created": "Sun, 30 Dec 2001 18:08:04 GMT",
"version": "v3"
}
] | 2017-08-23 | [
[
"Gal'tsov",
"D. V.",
""
]
] | Recent progress in the study of solitons and black holes in non-Abelian field theories coupled to gravity is reviewed. New topics include gravitational binding of monopoles, black holes with non-trivial topology, Lue-Weinberg bifurcation, asymptotically AdS lumps, solutions to the Freedman-Schwarz model with applications to holography, non-Abelian Born-Infeld solutions |
hep-th/9704212 | Walter Kunhardt | Walter Kunhardt | On Infravacua and Superselection Theory | LaTeX, 18 pages, spelling errors corrected | J.Math.Phys.39:3589-3599,1998 | 10.1063/1.532454 | null | hep-th funct-an math.FA | null | In the DHR theory of superselection sectors, one usually considers states
which are local excitations of some vacuum state. Here, we extend this analysis
to local excitations of a class of "infravacuum" states appearing in models
with massless particles. We show that the corresponding superselection
structure, the statistics of superselection sectors and the energy-momentum
spectrum are the same as with respect to the vacuum state. (The latter result
is obtained with a novel method of expressing the shape of the spectrum in
terms of properties of local charge transfer cocycles.) These findings provide
evidence to the effect that infravacua are a natural starting point for the
analysis of the superselection structure in theories with long-range forces.
| [
{
"created": "Wed, 30 Apr 1997 16:41:35 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Aug 1997 16:59:34 GMT",
"version": "v2"
}
] | 2010-11-19 | [
[
"Kunhardt",
"Walter",
""
]
] | In the DHR theory of superselection sectors, one usually considers states which are local excitations of some vacuum state. Here, we extend this analysis to local excitations of a class of "infravacuum" states appearing in models with massless particles. We show that the corresponding superselection structure, the statistics of superselection sectors and the energy-momentum spectrum are the same as with respect to the vacuum state. (The latter result is obtained with a novel method of expressing the shape of the spectrum in terms of properties of local charge transfer cocycles.) These findings provide evidence to the effect that infravacua are a natural starting point for the analysis of the superselection structure in theories with long-range forces. |
2205.14633 | Justin Kulp | Diego Garc\'ia-Sep\'ulveda, Alfredo Guevara, Justin Kulp and Jingxiang
Wu | Notes on Resonances and Unitarity from Celestial Amplitudes | 32 + 8 pages, 3 figures | null | 10.1007/JHEP09(2022)245 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study the celestial description of the $O(N)$ sigma model in the large $N$
limit as introduced by Coleman, Jackiw and Politzer. Focusing on three
dimensions, we analyze the implications of a UV complete, all-loop order
4-point amplitude of pions in terms of correlation functions defined on the
celestial circle. We find these retain many key features from the previously
studied tree-level case, such as their relation to Generalized Free Field
theories and crossing-symmetry, but also incorporate new properties such as
IR/UV softness and S-matrix metastable states. In particular, to understand
unitarity, we propose a form of the optical theorem that controls the imaginary
part of the correlator based solely on the presence of these resonances. We
also explicitly analyze the conformal block expansions and factorization of
four-point functions into three-point functions. We find that summing over
resonances is key for these factorization properties to hold. We end with some
topics for future study.
| [
{
"created": "Sun, 29 May 2022 11:43:34 GMT",
"version": "v1"
}
] | 2022-10-19 | [
[
"García-Sepúlveda",
"Diego",
""
],
[
"Guevara",
"Alfredo",
""
],
[
"Kulp",
"Justin",
""
],
[
"Wu",
"Jingxiang",
""
]
] | We study the celestial description of the $O(N)$ sigma model in the large $N$ limit as introduced by Coleman, Jackiw and Politzer. Focusing on three dimensions, we analyze the implications of a UV complete, all-loop order 4-point amplitude of pions in terms of correlation functions defined on the celestial circle. We find these retain many key features from the previously studied tree-level case, such as their relation to Generalized Free Field theories and crossing-symmetry, but also incorporate new properties such as IR/UV softness and S-matrix metastable states. In particular, to understand unitarity, we propose a form of the optical theorem that controls the imaginary part of the correlator based solely on the presence of these resonances. We also explicitly analyze the conformal block expansions and factorization of four-point functions into three-point functions. We find that summing over resonances is key for these factorization properties to hold. We end with some topics for future study. |
1501.04065 | Michele Caselle | M. Caselle, G. Costagliola, N. Magnoli | Numerical determination of OPE coefficients in the 3D Ising model from
off-critical correlators | 4 pages, typos corrected, a few references added | Phys. Rev. D 91, 061901 (2015) | 10.1103/PhysRevD.91.061901 | null | hep-th cond-mat.stat-mech hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a general method for the numerical evaluation of OPE coefficients
in three dimensional Conformal Field Theories based on the study of the
conformal perturbation of two point functions in the vicinity of the critical
point. We test our proposal in the three dimensional Ising Model, looking at
the magnetic perturbation of the $<\sigma (\mathbf {r})\sigma(0)>$, $<\sigma
(\mathbf {r})\epsilon(0)>$ and $<\epsilon (\mathbf {r})\epsilon(0)>$
correlators from which we extract the values of
$C^{\sigma}_{\sigma\epsilon}=1.07(3)$ and
$C^{\epsilon}_{\epsilon\epsilon}=1.45(30)$. Our estimate for
$C^{\sigma}_{\sigma\epsilon}$ agrees with those recently obtained using
conformal bootstrap methods, while $C^{\epsilon}_{\epsilon\epsilon}$, as far as
we know, is new and could be used to further constrain conformal bootstrap
analyses of the 3d Ising universality class.
| [
{
"created": "Fri, 16 Jan 2015 17:49:35 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Mar 2015 10:16:19 GMT",
"version": "v2"
}
] | 2015-03-25 | [
[
"Caselle",
"M.",
""
],
[
"Costagliola",
"G.",
""
],
[
"Magnoli",
"N.",
""
]
] | We propose a general method for the numerical evaluation of OPE coefficients in three dimensional Conformal Field Theories based on the study of the conformal perturbation of two point functions in the vicinity of the critical point. We test our proposal in the three dimensional Ising Model, looking at the magnetic perturbation of the $<\sigma (\mathbf {r})\sigma(0)>$, $<\sigma (\mathbf {r})\epsilon(0)>$ and $<\epsilon (\mathbf {r})\epsilon(0)>$ correlators from which we extract the values of $C^{\sigma}_{\sigma\epsilon}=1.07(3)$ and $C^{\epsilon}_{\epsilon\epsilon}=1.45(30)$. Our estimate for $C^{\sigma}_{\sigma\epsilon}$ agrees with those recently obtained using conformal bootstrap methods, while $C^{\epsilon}_{\epsilon\epsilon}$, as far as we know, is new and could be used to further constrain conformal bootstrap analyses of the 3d Ising universality class. |
1506.06770 | Robert Brandenberger | Robert H. Brandenberger, Yi-Fu Cai, Youping Wan, Xinmin Zhang | Nonsingular Cosmology from an Unstable Higgs Field | 9 pages, 4 figures, one footnote and reference added | International Journal of Modern Physics D 26 (2017) 1740006 | 10.1142/S0218271817400065 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The observed value of the Higgs mass indicates an instability of the Higgs
scalar at large energy scales, and hence also at large field values. In the
context of early universe cosmology, this is often considered to lead to
problems. Here we point out that we can use the instability of the Higgs field
to generate an Ekpyrotic phase of contraction. In the context of string theory
it is possible that at very high energy densities extra states become massless,
leading to an S-brane which leads to the transition between a contracting phase
in the past and the current expanding phase. Thus, the Higgs field can be used
to generate a non-singular bouncing cosmology in which the anisotropy problem
of usual bouncing scenarios is mitigated.
| [
{
"created": "Mon, 22 Jun 2015 20:05:04 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Jul 2015 13:06:06 GMT",
"version": "v2"
}
] | 2016-12-28 | [
[
"Brandenberger",
"Robert H.",
""
],
[
"Cai",
"Yi-Fu",
""
],
[
"Wan",
"Youping",
""
],
[
"Zhang",
"Xinmin",
""
]
] | The observed value of the Higgs mass indicates an instability of the Higgs scalar at large energy scales, and hence also at large field values. In the context of early universe cosmology, this is often considered to lead to problems. Here we point out that we can use the instability of the Higgs field to generate an Ekpyrotic phase of contraction. In the context of string theory it is possible that at very high energy densities extra states become massless, leading to an S-brane which leads to the transition between a contracting phase in the past and the current expanding phase. Thus, the Higgs field can be used to generate a non-singular bouncing cosmology in which the anisotropy problem of usual bouncing scenarios is mitigated. |
1106.4214 | Sven Bjarke Gudnason | Mattia Cipriani, Daniele Dorigoni, Sven Bjarke Gudnason, Kenichi
Konishi, Alberto Michelini | Non-Abelian monopole-vortex complex | Latex 24 pages, 9 figures; v2: minor typos were corrected and values
for the numerical calculation were specified | Phys.Rev.D84:045024,2011 | 10.1103/PhysRevD.84.045024 | IFUP-TH/2011-13 | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the context of softly broken N=2 supersymmetric quantum chromodynamics
(SQCD), with a hierarchical gauge symmetry breaking SU(N+1) -> U(N) -> 1, at
scales v1 and v2, respectively, where v1 >> v2, we construct monopole-vortex
complex soliton-like solutions and examine their properties. They represent the
minimum of the static energy under the constraint that the monopole and
antimonopole positions sitting at the extremes of the vortex are kept fixed.
They interpolate the 't Hooft-Polyakov-like regular monopole solution near the
monopole centers and a vortex solution far from them and in between. The main
result, obtained in the theory with Nf=N equal-mass flavors, is concerned with
the existence of exact orientational CP(N-1) zero modes, arising from the exact
color-flavor diagonal SU(N)_{C+F} global symmetry. The "unbroken" subgroup
SU(N) \subset SU(N+1) with which the na\"ive notion of non-Abelian monopoles
and the related difficulties were associated, is explicitly broken at low
energies. The monopole transforms nevertheless according to the fundamental
representation of a new exact, unbroken SU(N) symmetry group, as does the
vortex attached to it. We argue that this explains the origin of the dual
non-Abelian gauge symmetry.
| [
{
"created": "Tue, 21 Jun 2011 14:24:49 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Aug 2011 14:33:29 GMT",
"version": "v2"
}
] | 2011-08-31 | [
[
"Cipriani",
"Mattia",
""
],
[
"Dorigoni",
"Daniele",
""
],
[
"Gudnason",
"Sven Bjarke",
""
],
[
"Konishi",
"Kenichi",
""
],
[
"Michelini",
"Alberto",
""
]
] | In the context of softly broken N=2 supersymmetric quantum chromodynamics (SQCD), with a hierarchical gauge symmetry breaking SU(N+1) -> U(N) -> 1, at scales v1 and v2, respectively, where v1 >> v2, we construct monopole-vortex complex soliton-like solutions and examine their properties. They represent the minimum of the static energy under the constraint that the monopole and antimonopole positions sitting at the extremes of the vortex are kept fixed. They interpolate the 't Hooft-Polyakov-like regular monopole solution near the monopole centers and a vortex solution far from them and in between. The main result, obtained in the theory with Nf=N equal-mass flavors, is concerned with the existence of exact orientational CP(N-1) zero modes, arising from the exact color-flavor diagonal SU(N)_{C+F} global symmetry. The "unbroken" subgroup SU(N) \subset SU(N+1) with which the na\"ive notion of non-Abelian monopoles and the related difficulties were associated, is explicitly broken at low energies. The monopole transforms nevertheless according to the fundamental representation of a new exact, unbroken SU(N) symmetry group, as does the vortex attached to it. We argue that this explains the origin of the dual non-Abelian gauge symmetry. |
1506.00622 | G. Alencar | G. Alencar, I. C. Jardim, R. R. Landim, C. R. Muniz and R.N. Costa
Filho | Generalized non-minimal couplings in Randall-Sundrum scenarios | Typos corrected, 25 pages | Phys. Rev. D 93, 124064 (2016) | 10.1103/PhysRevD.93.124064 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Geometrical Localization mechanism in Randall-sundrum (RS) scenarios is
extended by considering the coupling between a quadratic mass term and
geometrical tensors. Since the quadratic term is symmetric, tensors with two
symmetric indices have to be taken into account. These are the Ricci and the
Einstein tensors. For the Ricci tensor it is shown that a localized zero mode
exists while that is not possible for the Einstein tensor. It is already known
that the Ricci scalar generates a localized solution but the metrics do not.
Therefore, it can be conclude that divergenceless tensors do not localize the
zero mode of gauge fields. The result is valid for any warp factor recovering
the RS metrics at the boundaries, and therefore is valid for RS I and II
models. We also compute resonances for all couplings. These are calculated
using the transfer matrix method. The cases studied consider the standard RS
with delta-like branes, and branes generated by kinks and domain-wall as well.
The parameters are changed to control the thickness of the smooth brane. We
find that, for all cases considered, geometrical coupling does not generate
resonances. This enforces similar results for the coupling with the Ricci
scalar and points to the existence of some unidentified fundamental structure
of these couplings.
| [
{
"created": "Mon, 1 Jun 2015 19:44:15 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Jun 2015 12:16:03 GMT",
"version": "v2"
},
{
"created": "Thu, 12 Nov 2015 17:23:44 GMT",
"version": "v3"
},
{
"created": "Thu, 9 Jun 2016 19:17:51 GMT",
"version": "v4"
}
] | 2016-07-06 | [
[
"Alencar",
"G.",
""
],
[
"Jardim",
"I. C.",
""
],
[
"Landim",
"R. R.",
""
],
[
"Muniz",
"C. R.",
""
],
[
"Filho",
"R. N. Costa",
""
]
] | The Geometrical Localization mechanism in Randall-sundrum (RS) scenarios is extended by considering the coupling between a quadratic mass term and geometrical tensors. Since the quadratic term is symmetric, tensors with two symmetric indices have to be taken into account. These are the Ricci and the Einstein tensors. For the Ricci tensor it is shown that a localized zero mode exists while that is not possible for the Einstein tensor. It is already known that the Ricci scalar generates a localized solution but the metrics do not. Therefore, it can be conclude that divergenceless tensors do not localize the zero mode of gauge fields. The result is valid for any warp factor recovering the RS metrics at the boundaries, and therefore is valid for RS I and II models. We also compute resonances for all couplings. These are calculated using the transfer matrix method. The cases studied consider the standard RS with delta-like branes, and branes generated by kinks and domain-wall as well. The parameters are changed to control the thickness of the smooth brane. We find that, for all cases considered, geometrical coupling does not generate resonances. This enforces similar results for the coupling with the Ricci scalar and points to the existence of some unidentified fundamental structure of these couplings. |
1412.7561 | Mukund Rangamani | Felix M. Haehl, Thomas Hartman, Donald Marolf, Henry Maxfield and
Mukund Rangamani | Topological aspects of generalized gravitational entropy | 28 pages, 3 figures. v2: clarifications added. figure updated.
matches published version | null | 10.1007/JHEP05(2015)023 | DCPT-14/75 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The holographic prescription for computing entanglement entropy requires that
the bulk extremal surface, whose area encodes the amount of entanglement,
satisfies a homology constraint. Usually this is stated as the requirement of a
(spacelike) interpolating surface that connects the region of interest and the
extremal surface. We investigate to what extent this constraint is upheld by
the generalized gravitational entropy argument, which relies on constructing
replica symmetric q-fold covering spaces of the bulk, branched at the extremal
surface. We prove (at the level of topology) that the putative extremal surface
satisfies the homology constraint if and only if the corresponding branched
cover can be constructed for every positive integer q. We give simple examples
to show that homology can be violated if the cover exists for some values of q
but not others, along with some other issues.
| [
{
"created": "Tue, 23 Dec 2014 22:09:39 GMT",
"version": "v1"
},
{
"created": "Tue, 5 May 2015 11:15:57 GMT",
"version": "v2"
}
] | 2015-06-11 | [
[
"Haehl",
"Felix M.",
""
],
[
"Hartman",
"Thomas",
""
],
[
"Marolf",
"Donald",
""
],
[
"Maxfield",
"Henry",
""
],
[
"Rangamani",
"Mukund",
""
]
] | The holographic prescription for computing entanglement entropy requires that the bulk extremal surface, whose area encodes the amount of entanglement, satisfies a homology constraint. Usually this is stated as the requirement of a (spacelike) interpolating surface that connects the region of interest and the extremal surface. We investigate to what extent this constraint is upheld by the generalized gravitational entropy argument, which relies on constructing replica symmetric q-fold covering spaces of the bulk, branched at the extremal surface. We prove (at the level of topology) that the putative extremal surface satisfies the homology constraint if and only if the corresponding branched cover can be constructed for every positive integer q. We give simple examples to show that homology can be violated if the cover exists for some values of q but not others, along with some other issues. |
hep-th/9812025 | Esperanza Lopez | E. Lopez | A Family of N=1 SU(N)^k Theories from Branes at Singularities | 18 pages, 1 figure, TeX; v2 minor changes | JHEP 9902 (1999) 019 | 10.1088/1126-6708/1999/02/019 | null | hep-th | null | We obtain N=1 SU(N)^k gauge theories with bifundamental matter and a quartic
superpotential as the low energy theory on D3-branes at singular points. These
theories generalize that on D3-branes at a conifold point, studied recently by
Klebanov and Witten. For k=3 the defining equation of the singular point is
that of an isolated D_4 singularity. For k>3 we obtain a family of multimodular
singularities. The considered SU(N)^k theories flow in the infrared to a
non-trivial fixed point. We analyze the AdS/CFT correspondence for our
examples.
| [
{
"created": "Wed, 2 Dec 1998 18:11:16 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Feb 1999 15:01:47 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Lopez",
"E.",
""
]
] | We obtain N=1 SU(N)^k gauge theories with bifundamental matter and a quartic superpotential as the low energy theory on D3-branes at singular points. These theories generalize that on D3-branes at a conifold point, studied recently by Klebanov and Witten. For k=3 the defining equation of the singular point is that of an isolated D_4 singularity. For k>3 we obtain a family of multimodular singularities. The considered SU(N)^k theories flow in the infrared to a non-trivial fixed point. We analyze the AdS/CFT correspondence for our examples. |
hep-th/9412146 | Juan P. Garrahan | J. P. Garrahan, L. M. Kruczenski, C. L. Schat, D. R. Bes and N. N.
Scoccola | Becchi-Rouet-Stora-Tyutin quantization of a soliton model in 2+1
dimensions | 24 pages REVTEX, 1 figure, uses FEYNMAN package. To be published in
Phys. Rev. D | Phys.Rev. D51 (1995) 2950-2958 | 10.1103/PhysRevD.51.2950 | TAN-FNT-94/10 | hep-th | null | The Becchi-Rouet-Stora-Tyutin (BRST) method is applied to the quantization of
the solitons of the non-linear $O(3)$ model in $2+1$ dimensions. We show that
this method allows for a simple and systematic treatment of zero-modes with a
non-commuting algebra. We obtain the expression of the BRST hamiltonian and
show that the residual interaction can be perturbatively treated in an
IR-divergence-free way. As an application of the formalism we explicitly
evaluate the two-loop correction to the soliton mass.
| [
{
"created": "Fri, 16 Dec 1994 15:14:07 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Garrahan",
"J. P.",
""
],
[
"Kruczenski",
"L. M.",
""
],
[
"Schat",
"C. L.",
""
],
[
"Bes",
"D. R.",
""
],
[
"Scoccola",
"N. N.",
""
]
] | The Becchi-Rouet-Stora-Tyutin (BRST) method is applied to the quantization of the solitons of the non-linear $O(3)$ model in $2+1$ dimensions. We show that this method allows for a simple and systematic treatment of zero-modes with a non-commuting algebra. We obtain the expression of the BRST hamiltonian and show that the residual interaction can be perturbatively treated in an IR-divergence-free way. As an application of the formalism we explicitly evaluate the two-loop correction to the soliton mass. |
2311.13740 | Tadashi Okazaki | Yasuyuki Hatsuda, Tadashi Okazaki | Excitations of bubbling geometries for line defects | 15 pages, 2 figures | Phys.Rev.D109,066013(2024) | 10.1103/PhysRevD.109.066013 | RUP-23-25 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The half-BPS Wilson line operators in the irreducible representations labeled
by the Young diagrams for $\mathcal{N}=4$ $U(N)$ super Yang-Mills theory have
gravity dual descriptions. When the number $k$ of boxes of the diagram grows as
$k\sim N^2$, the bubbling geometries emerge. We evaluate the spectra of quantum
fluctuations on the bubbling geometries from the large $N$ and large $k$ limit
of the supersymmetric indices decorated by the Wilson lines. The spectra of
excitations over multi-particle $1/8$- and $1/2$-BPS states agree with the
numbers of conjugacy classes of general linear group over finite fields while
degeneracies of single particle BPS states are given by the general necklace
polynomial. The bubbling geometry exhibits a new class of asymptotic degeneracy
of states.
| [
{
"created": "Thu, 23 Nov 2023 00:13:44 GMT",
"version": "v1"
}
] | 2024-03-15 | [
[
"Hatsuda",
"Yasuyuki",
""
],
[
"Okazaki",
"Tadashi",
""
]
] | The half-BPS Wilson line operators in the irreducible representations labeled by the Young diagrams for $\mathcal{N}=4$ $U(N)$ super Yang-Mills theory have gravity dual descriptions. When the number $k$ of boxes of the diagram grows as $k\sim N^2$, the bubbling geometries emerge. We evaluate the spectra of quantum fluctuations on the bubbling geometries from the large $N$ and large $k$ limit of the supersymmetric indices decorated by the Wilson lines. The spectra of excitations over multi-particle $1/8$- and $1/2$-BPS states agree with the numbers of conjugacy classes of general linear group over finite fields while degeneracies of single particle BPS states are given by the general necklace polynomial. The bubbling geometry exhibits a new class of asymptotic degeneracy of states. |
hep-th/0402071 | Juan Antonio Nieto | J. A. Nieto | Born-Infeld Gravity in any Dimension | 5 pages, REVeX4, additional comments, minor typos corrected | Phys.Rev. D70 (2004) 044042 | 10.1103/PhysRevD.70.044042 | null | hep-th | null | We develop a Born-Infeld type theory for gravity in any dimension. We show
that in four dimensions our formalism allows a self-dual (or anti-self dual)
Born-Infeld gravity description. Moreover, we show that such a self-dual action
is reduced to both the Deser-Gibbons and the Jacobson-Smolin-Samuel action of
Ashtekar formulation. A supersymmetric generalization of our approach is
outlined.
| [
{
"created": "Mon, 9 Feb 2004 17:08:01 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Jun 2004 15:29:51 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Nieto",
"J. A.",
""
]
] | We develop a Born-Infeld type theory for gravity in any dimension. We show that in four dimensions our formalism allows a self-dual (or anti-self dual) Born-Infeld gravity description. Moreover, we show that such a self-dual action is reduced to both the Deser-Gibbons and the Jacobson-Smolin-Samuel action of Ashtekar formulation. A supersymmetric generalization of our approach is outlined. |
hep-th/9710088 | Andy Wilkins | Jim McCarthy and Andy Wilkins (University of Adelaide, Australia) | Induced Chern-Simons terms | 12 pages, LaTeX | Phys.Rev.D58:085007,1998 | 10.1103/PhysRevD.58.085007 | null | hep-th | null | We examine the claim that the effective action of four-dimensional SU(2)_L
gauge theory at high and low temperature contains a three-dimensional
Chern-Simons term with coefficient being the chemical potential for baryon
number. We perform calculations in a two-dimensional toy model and find that
the existence of the term is rather subtle.
| [
{
"created": "Fri, 10 Oct 1997 12:26:25 GMT",
"version": "v1"
}
] | 2009-09-11 | [
[
"McCarthy",
"Jim",
"",
"University of Adelaide, Australia"
],
[
"Wilkins",
"Andy",
"",
"University of Adelaide, Australia"
]
] | We examine the claim that the effective action of four-dimensional SU(2)_L gauge theory at high and low temperature contains a three-dimensional Chern-Simons term with coefficient being the chemical potential for baryon number. We perform calculations in a two-dimensional toy model and find that the existence of the term is rather subtle. |
hep-th/0303222 | Yasuaki Hikida | Yasuaki Hikida | Superstrings on NSNS PP-Waves and Their CFT Duals | PhD thesis, 80 pages, 5 figures | null | null | null | hep-th | null | We investigate the correspondence between superstring theory on pp-wave
background with NSNS-flux and superconformal field theory on a symmetric
orbifold. This correspondence can be regarded as the ``Penrose limit'' of
AdS_3/CFT_2 correspondence. Superstring theory on the Penrose limit of AdS_3 x
S^3 (x M^4) (M^4 = T^4 or K3) with NSNS-flux can be described by a
generalization of Nappi-Witten model. We quantize this system in the covariant
gauge and obtain the spectrum of superstring theory. In the dual CFT point of
view, the Penrose limit means concentrating on the subsector of almost BPS
states with large R-charges. We show that stringy states can be embedded in the
single-particle Hilbert space of symmetric orbifold theory.
| [
{
"created": "Wed, 26 Mar 2003 12:18:14 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Hikida",
"Yasuaki",
""
]
] | We investigate the correspondence between superstring theory on pp-wave background with NSNS-flux and superconformal field theory on a symmetric orbifold. This correspondence can be regarded as the ``Penrose limit'' of AdS_3/CFT_2 correspondence. Superstring theory on the Penrose limit of AdS_3 x S^3 (x M^4) (M^4 = T^4 or K3) with NSNS-flux can be described by a generalization of Nappi-Witten model. We quantize this system in the covariant gauge and obtain the spectrum of superstring theory. In the dual CFT point of view, the Penrose limit means concentrating on the subsector of almost BPS states with large R-charges. We show that stringy states can be embedded in the single-particle Hilbert space of symmetric orbifold theory. |
hep-th/0405064 | Matthew Headrick | Matthew Headrick, Shiraz Minwalla, and Tadashi Takayanagi | Closed String Tachyon Condensation: An Overview | harvmac, 59 pages; references added | Class.Quant.Grav.21:S1539-S1565,2004 | 10.1088/0264-9381/21/10/027 | HUTP-04/A017, MIT-CTP-3477 | hep-th | null | These notes are an expanded version of a review lecture on closed string
tachyon condensation at the RTN workshop in Copenhagen in September 2003. We
begin with a lightning review of open string tachyon condensation, and then
proceed to review recent results on localized closed string tachyon
condensation, focusing on two simple systems, C/Z_n orbifolds and twisted
circle compactifications.
| [
{
"created": "Sat, 8 May 2004 03:32:55 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Jan 2005 17:31:27 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Headrick",
"Matthew",
""
],
[
"Minwalla",
"Shiraz",
""
],
[
"Takayanagi",
"Tadashi",
""
]
] | These notes are an expanded version of a review lecture on closed string tachyon condensation at the RTN workshop in Copenhagen in September 2003. We begin with a lightning review of open string tachyon condensation, and then proceed to review recent results on localized closed string tachyon condensation, focusing on two simple systems, C/Z_n orbifolds and twisted circle compactifications. |
2312.00716 | Ruth Gregory | Ruth Gregory | Primordial Black Holes and Higgs Vacuum Decay | Based on talk given in the Oldenburg Seminar Series, May 2021.
Contribution to Lecture Notes in Physics: Gravity, Cosmology, and
Astrophysics: A Journey of Exploration and Discovery with Female Pioneers,
Eds Betti Hartmann and Jutta Kunz | Lecture Notes in Physics Vol 1022, 2023 | 10.1007/978-3-031-42096-2_12 | null | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | Phase transitions are part of everyday life, yet are also believed to be part
of the history of our universe, where the nature of particle interactions
change as the universe settles into its vacuum state. The discovery of the
Higgs, and measurement of its mass suggests that our vacuum may not be entirely
stable, and that a further phase transition could take place. This article is
based on a talk in the Oldenberg Series, and reviews how we find the
probability of these phase transitions, discussing past work on how black holes
can dramatically change the result! Apart from a brief update at the end, this
article mostly follows the content of the talk.
| [
{
"created": "Fri, 1 Dec 2023 16:52:50 GMT",
"version": "v1"
}
] | 2023-12-14 | [
[
"Gregory",
"Ruth",
""
]
] | Phase transitions are part of everyday life, yet are also believed to be part of the history of our universe, where the nature of particle interactions change as the universe settles into its vacuum state. The discovery of the Higgs, and measurement of its mass suggests that our vacuum may not be entirely stable, and that a further phase transition could take place. This article is based on a talk in the Oldenberg Series, and reviews how we find the probability of these phase transitions, discussing past work on how black holes can dramatically change the result! Apart from a brief update at the end, this article mostly follows the content of the talk. |
2405.04611 | Andres Anabalon | Andres Anabalon and Julio Oliva | Plasma-Plasma Third Order Phase Transition from type IIB Supergravity | 8 pages, 2 figures | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We show that the planar, charged black hole in AdS, dual to the strongly
coupled Quark-Gluon Plasma thermal state of large $N$, $SU(N)$, $\mathcal{N}=4$
super Yang-Mills at finite chemical potential undergoes a third-order phase
transition in the grand canonical ensemble to a hairy black hole of type IIB
supergravity. The hairy phase is another strongly coupled fluid with a
conformal equation of state and can be interpreted as another kind of
Quark-Gluon plasma. This new Quark-Gluon plasma has less entropy and,
therefore, seems to characterize some form of smooth hadronization. The locus
of the transition in terms of the "Baryon" chemical potential, $\mu$, and the
temperature, $T$, is $\mu=2\pi T$.
| [
{
"created": "Tue, 7 May 2024 18:49:53 GMT",
"version": "v1"
}
] | 2024-05-09 | [
[
"Anabalon",
"Andres",
""
],
[
"Oliva",
"Julio",
""
]
] | We show that the planar, charged black hole in AdS, dual to the strongly coupled Quark-Gluon Plasma thermal state of large $N$, $SU(N)$, $\mathcal{N}=4$ super Yang-Mills at finite chemical potential undergoes a third-order phase transition in the grand canonical ensemble to a hairy black hole of type IIB supergravity. The hairy phase is another strongly coupled fluid with a conformal equation of state and can be interpreted as another kind of Quark-Gluon plasma. This new Quark-Gluon plasma has less entropy and, therefore, seems to characterize some form of smooth hadronization. The locus of the transition in terms of the "Baryon" chemical potential, $\mu$, and the temperature, $T$, is $\mu=2\pi T$. |
2008.05934 | Ray Otsuki | Ray Otsuki | Exotic Aspects of Extended Field Theories | PhD Thesis, 201 pages, 8 tables, 18 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Extended field theories (ExFTs) are a relatively young class of theories that
lie at the intersection of Kaluza-Klein theory and the remarkable dualities of
string- and M-theory. Whereas the original Kaluza-Klein construction unified
the local symmetries of an Einstein-Maxwell-dilaton theory into diffeomorphisms
in one dimension higher, ExFTs aim for a much more ambitious goal: to unify the
local symmetries of supergravity fields into a single symmetry manifest on a
higher-dimensional space. Depending on whether we start with Type II or
11-dimensional supergravity, we obtain double and exceptional field theory
respectively which we collectively refer to as ExFTs. At the cost of being
forced into a generalised notion of diffeomorphisms that fail to close onto an
algebra, ExFTs embody a powerful paradigm built on the idea of unification-of
symmetries, of fields and of solutions.
However, ExFTs are much more than just a rewriting of supergravities. They
have been found to contain much more than was originally put into their
construction and, in this thesis, we discuss some of the more exotic aspects of
these theories. We describe a novel solution in exceptional field theory that
unifies a whole family of so-called 'exotic branes' into a single solution on
the extended space. We follow this with the construction of a maximally
non-Riemannian solution whose reduction to the usual spacetime is free of the
scalar moduli that typically plague dimensional reductions. In the final part,
we consider reductions between exceptional field theories and illustrate,
amongst other things, that we can have ExFTs defined on local patches that
nevertheless cannot be related by even the duality transformations of the
lower-dimensional theory.
| [
{
"created": "Thu, 13 Aug 2020 14:44:44 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Sep 2020 12:17:44 GMT",
"version": "v2"
}
] | 2020-09-04 | [
[
"Otsuki",
"Ray",
""
]
] | Extended field theories (ExFTs) are a relatively young class of theories that lie at the intersection of Kaluza-Klein theory and the remarkable dualities of string- and M-theory. Whereas the original Kaluza-Klein construction unified the local symmetries of an Einstein-Maxwell-dilaton theory into diffeomorphisms in one dimension higher, ExFTs aim for a much more ambitious goal: to unify the local symmetries of supergravity fields into a single symmetry manifest on a higher-dimensional space. Depending on whether we start with Type II or 11-dimensional supergravity, we obtain double and exceptional field theory respectively which we collectively refer to as ExFTs. At the cost of being forced into a generalised notion of diffeomorphisms that fail to close onto an algebra, ExFTs embody a powerful paradigm built on the idea of unification-of symmetries, of fields and of solutions. However, ExFTs are much more than just a rewriting of supergravities. They have been found to contain much more than was originally put into their construction and, in this thesis, we discuss some of the more exotic aspects of these theories. We describe a novel solution in exceptional field theory that unifies a whole family of so-called 'exotic branes' into a single solution on the extended space. We follow this with the construction of a maximally non-Riemannian solution whose reduction to the usual spacetime is free of the scalar moduli that typically plague dimensional reductions. In the final part, we consider reductions between exceptional field theories and illustrate, amongst other things, that we can have ExFTs defined on local patches that nevertheless cannot be related by even the duality transformations of the lower-dimensional theory. |
hep-th/9408136 | Ole Warnaar | Ole Warnaar and Paul A. Pearce | Exceptional structure of the dilute A$_3$ model: E$_8$ and E$_7$
Rogers--Ramanujan identities | 9 pages, 1 postscript figure | J.Phys. A27 (1994) L891-L898 | 10.1088/0305-4470/27/23/005 | null | hep-th nlin.SI solv-int | null | The dilute A$_3$ lattice model in regime 2 is in the universality class of
the Ising model in a magnetic field. Here we establish directly the existence
of an E$_8$ structure in the dilute A$_3$ model in this regime by expressing
the 1-dimensional configuration sums in terms of fermionic sums which
explicitly involve the E$_8$ root system. In the thermodynamic limit, these
polynomial identities yield a proof of the E$_8$ Rogers--Ramanujan identity
recently conjectured by Kedem {\em et al}.
The polynomial identities also apply to regime 3, which is obtained by
transforming the modular parameter by $q\to 1/q$. In this case we find an
A$_1\times\mbox{E}_7$ structure and prove a Rogers--Ramanujan identity of
A$_1\times\mbox{E}_7$ type. Finally, in the critical $q\to 1$ limit, we give
some intriguing expressions for the number of $L$-step paths on the A$_3$
Dynkin diagram with tadpoles in terms of the E$_8$ Cartan matrix. All our
findings confirm the E$_8$ and E$_7$ structure of the dilute A$_3$ model found
recently by means of the thermodynamic Bethe Ansatz.
| [
{
"created": "Thu, 25 Aug 1994 02:43:37 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Warnaar",
"Ole",
""
],
[
"Pearce",
"Paul A.",
""
]
] | The dilute A$_3$ lattice model in regime 2 is in the universality class of the Ising model in a magnetic field. Here we establish directly the existence of an E$_8$ structure in the dilute A$_3$ model in this regime by expressing the 1-dimensional configuration sums in terms of fermionic sums which explicitly involve the E$_8$ root system. In the thermodynamic limit, these polynomial identities yield a proof of the E$_8$ Rogers--Ramanujan identity recently conjectured by Kedem {\em et al}. The polynomial identities also apply to regime 3, which is obtained by transforming the modular parameter by $q\to 1/q$. In this case we find an A$_1\times\mbox{E}_7$ structure and prove a Rogers--Ramanujan identity of A$_1\times\mbox{E}_7$ type. Finally, in the critical $q\to 1$ limit, we give some intriguing expressions for the number of $L$-step paths on the A$_3$ Dynkin diagram with tadpoles in terms of the E$_8$ Cartan matrix. All our findings confirm the E$_8$ and E$_7$ structure of the dilute A$_3$ model found recently by means of the thermodynamic Bethe Ansatz. |
hep-th/9707163 | Anton Rebhan | A. Rebhan and P. van Nieuwenhuizen | No saturation of the quantum Bogomolnyi bound by two-dimensional
supersymmetric solitons | 23 pages, LATeX | Nucl.Phys. B508 (1997) 449-467 | 10.1016/S0550-3213(97)00625-1 | TUW-97-12, ITP-SB 97-37 | hep-th | null | We reanalyse the question whether the quantum Bogomolnyi bound is saturated
in the two-dimensional supersymmetric kink and sine-Gordon models. Our starting
point is the usual expression for the one-loop correction to the mass of a
soliton in terms of sums over zero-point energies. To regulate these sums, most
authors put the system in a box with suitable boundary conditions, and impose
an ultraviolet cut-off. We distinguish between an energy cut-off and a mode
number cut-off, and show that they lead to different results. We claim that
only the mode cut-off yields correct results, and only if one considers exactly
the same number of bosonic and fermionic modes in the total sum over
bound-state and zero-point energies. To substantiate this claim, we show that
in the sine-Gordon model only the mode cut-off yields a result for the quantum
soliton mass that is consistent with the exact result for the spectrum as
obtained by Dashen et al. from quantising the so-called breather solution. In
the supersymmetric case, our conclusion is that contrary to previous claims the
quantum Bogomolnyi bound is not saturated in any of the two-dimensional models
considered.
| [
{
"created": "Fri, 18 Jul 1997 12:33:37 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Rebhan",
"A.",
""
],
[
"van Nieuwenhuizen",
"P.",
""
]
] | We reanalyse the question whether the quantum Bogomolnyi bound is saturated in the two-dimensional supersymmetric kink and sine-Gordon models. Our starting point is the usual expression for the one-loop correction to the mass of a soliton in terms of sums over zero-point energies. To regulate these sums, most authors put the system in a box with suitable boundary conditions, and impose an ultraviolet cut-off. We distinguish between an energy cut-off and a mode number cut-off, and show that they lead to different results. We claim that only the mode cut-off yields correct results, and only if one considers exactly the same number of bosonic and fermionic modes in the total sum over bound-state and zero-point energies. To substantiate this claim, we show that in the sine-Gordon model only the mode cut-off yields a result for the quantum soliton mass that is consistent with the exact result for the spectrum as obtained by Dashen et al. from quantising the so-called breather solution. In the supersymmetric case, our conclusion is that contrary to previous claims the quantum Bogomolnyi bound is not saturated in any of the two-dimensional models considered. |
2108.11708 | Max Guillen | Maor Ben-Shahar and Max Guillen | 10D Super-Yang-Mills Scattering Amplitudes From Its Pure Spinor Action | 36 pages | null | 10.1007/JHEP12(2021)014 | UUITP-37/21 | hep-th | http://creativecommons.org/licenses/by/4.0/ | Using the pure spinor master action for 10D super-Yang-Mills in the gauge
$b_{0}V = Q\Xi$, tree-level scattering amplitudes are calculated through the
perturbiner method, and shown to match those obtained from pure spinor CFT
techniques. We find kinematic numerators made of nested $b$-ghost operators,
and show that the Siegel gauge condition $b_{0}V = 0$ gives rise to
color-kinematics duality satisfying numerators whose Jacobi identity follows
from the Jacobi identity of a kinematic algebra.
| [
{
"created": "Thu, 26 Aug 2021 11:19:18 GMT",
"version": "v1"
}
] | 2021-12-22 | [
[
"Ben-Shahar",
"Maor",
""
],
[
"Guillen",
"Max",
""
]
] | Using the pure spinor master action for 10D super-Yang-Mills in the gauge $b_{0}V = Q\Xi$, tree-level scattering amplitudes are calculated through the perturbiner method, and shown to match those obtained from pure spinor CFT techniques. We find kinematic numerators made of nested $b$-ghost operators, and show that the Siegel gauge condition $b_{0}V = 0$ gives rise to color-kinematics duality satisfying numerators whose Jacobi identity follows from the Jacobi identity of a kinematic algebra. |
1602.06962 | Mario Herrero-Valea | Mario Herrero-Valea | Anomalies, equivalence and renormalization of cosmological frames | 15 pages, matches the journal version | Phys. Rev. D 93, 105038 (2016) | 10.1103/PhysRevD.93.105038 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the question of whether two frames of a given physical theory are
equivalent or not in the presence of quantum corrections. By using field theory
arguments we claim that equivalence is broken in the presence of anomalous
symmetries in one of the frames. This is particularized to the case of the
relation between the Einstein and Jordan frames in scalar-tensor theories used
to describe early Universe dynamics. Although in this case a regularization
that cancels the anomaly exists, the renormalized theory always develop a
non-vanishing contribution to the S-matrix that is present only in the Jordan
frame, promoting the different frames to different physical theories that must
be UV completed in a different way.
| [
{
"created": "Mon, 22 Feb 2016 21:05:07 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Mar 2016 12:11:58 GMT",
"version": "v2"
},
{
"created": "Thu, 12 May 2016 20:38:50 GMT",
"version": "v3"
}
] | 2016-06-01 | [
[
"Herrero-Valea",
"Mario",
""
]
] | We study the question of whether two frames of a given physical theory are equivalent or not in the presence of quantum corrections. By using field theory arguments we claim that equivalence is broken in the presence of anomalous symmetries in one of the frames. This is particularized to the case of the relation between the Einstein and Jordan frames in scalar-tensor theories used to describe early Universe dynamics. Although in this case a regularization that cancels the anomaly exists, the renormalized theory always develop a non-vanishing contribution to the S-matrix that is present only in the Jordan frame, promoting the different frames to different physical theories that must be UV completed in a different way. |
2203.11959 | Gopal Yadav | Gopal Yadav | Deconfinement Temperature of Rotating QGP at Intermediate Coupling from
${\cal M}$-Theory | v5:17 pages, 1 figure, LaTeX; paper restructured in the shorter form;
published in Physics Letters B | Physics Letters B 841 (2023) 137925 | 10.1016/j.physletb.2023.137925 | null | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | With the aim of studying rotating quark-gluon plasma (QGP), holographically,
from a top-down approach, the study of the effect of rotation on the
deconfinement temperature of thermal QCD-like theories at intermediate coupling
from ${\cal M}$-theory was missing in the literature. This paper fills this
gap. The gravity dual includes a rotating cylindrical black hole. In the
presence of rotation, from a semi-classical computation, we found that the
deconfinement temperature is inversely proportional to the Lorentz factor,
which suggests that the deconfinement temperature decreases with the increase
of rotation. Further, we found that in the small angular velocity limit,
results from higher derivative correction at ${\cal O}(R^4)$ do not change and
are the same as in arXiv:2108.05372. The "UV-IR mixing", "Flavor Memory"
effect, and "non-renormalization of $T_c$" in the ${\cal M}$-theory dual are
similar to the ones observed in arXiv:2108.05372.
| [
{
"created": "Tue, 22 Mar 2022 18:00:03 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Mar 2022 03:24:55 GMT",
"version": "v2"
},
{
"created": "Tue, 28 Jun 2022 19:59:28 GMT",
"version": "v3"
},
{
"created": "Tue, 18 Apr 2023 04:17:48 GMT",
"version": "v4"
},
{
"created": "Mon, 24 Apr 2023 10:48:10 GMT",
"version": "v5"
}
] | 2023-04-25 | [
[
"Yadav",
"Gopal",
""
]
] | With the aim of studying rotating quark-gluon plasma (QGP), holographically, from a top-down approach, the study of the effect of rotation on the deconfinement temperature of thermal QCD-like theories at intermediate coupling from ${\cal M}$-theory was missing in the literature. This paper fills this gap. The gravity dual includes a rotating cylindrical black hole. In the presence of rotation, from a semi-classical computation, we found that the deconfinement temperature is inversely proportional to the Lorentz factor, which suggests that the deconfinement temperature decreases with the increase of rotation. Further, we found that in the small angular velocity limit, results from higher derivative correction at ${\cal O}(R^4)$ do not change and are the same as in arXiv:2108.05372. The "UV-IR mixing", "Flavor Memory" effect, and "non-renormalization of $T_c$" in the ${\cal M}$-theory dual are similar to the ones observed in arXiv:2108.05372. |
1603.01294 | Charles Schwartz | Charles Schwartz | Toward a Quantum Theory of Tachyon Fields | 17 pages | Int. J. Mod. Phys. A 31 (9) 1650041 (2016) | 10.1142/S0217751X1650041X | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct momentum space expansions for the wave functions that solve the
Klein-Gordon and Dirac equations for tachyons, recognizing that the mass shell
for such fields is very different from what we are used to for ordinary (slower
than light) particles. We find that we can postulate commutation or
anticommutation rules for the operators that lead to physically sensible
results: causality, for tachyon fields, means that there is no connection
between spacetime points separated by a timelike interval. Calculating the
conserved charge and 4-momentum for these fields allows us to interpret the
number operators for particles and antiparticles in a consistent manner; and we
see that helicity plays a critical role for the spinor field. Some questions
about Lorentz invariance are addressed and some remain unresolved; and we show
how to handle the group representation for tachyon spinors.
| [
{
"created": "Wed, 2 Mar 2016 15:26:31 GMT",
"version": "v1"
}
] | 2016-03-28 | [
[
"Schwartz",
"Charles",
""
]
] | We construct momentum space expansions for the wave functions that solve the Klein-Gordon and Dirac equations for tachyons, recognizing that the mass shell for such fields is very different from what we are used to for ordinary (slower than light) particles. We find that we can postulate commutation or anticommutation rules for the operators that lead to physically sensible results: causality, for tachyon fields, means that there is no connection between spacetime points separated by a timelike interval. Calculating the conserved charge and 4-momentum for these fields allows us to interpret the number operators for particles and antiparticles in a consistent manner; and we see that helicity plays a critical role for the spinor field. Some questions about Lorentz invariance are addressed and some remain unresolved; and we show how to handle the group representation for tachyon spinors. |
hep-th/0701083 | Timothy Clifton | T. Clifton, Andrei Linde and Navin Sivanandam | Islands in the landscape | 31 pages, 8 figures | JHEP 0702:024,2007 | 10.1088/1126-6708/2007/02/024 | null | hep-th astro-ph gr-qc hep-ph | null | The string theory landscape consists of many metastable de Sitter vacua,
populated by eternal inflation. Tunneling between these vacua gives rise to a
dynamical system, which asymptotically settles down to an equilibrium state. We
investigate the effects of sinks to anti-de Sitter space, and show how their
existence can change probabilities in the landscape. Sinks can disturb the
thermal occupation numbers that would otherwise exist in the landscape and may
cause regions that were previously in thermal contact to be divided into
separate, thermally isolated islands.
| [
{
"created": "Wed, 10 Jan 2007 20:36:44 GMT",
"version": "v1"
}
] | 2009-11-13 | [
[
"Clifton",
"T.",
""
],
[
"Linde",
"Andrei",
""
],
[
"Sivanandam",
"Navin",
""
]
] | The string theory landscape consists of many metastable de Sitter vacua, populated by eternal inflation. Tunneling between these vacua gives rise to a dynamical system, which asymptotically settles down to an equilibrium state. We investigate the effects of sinks to anti-de Sitter space, and show how their existence can change probabilities in the landscape. Sinks can disturb the thermal occupation numbers that would otherwise exist in the landscape and may cause regions that were previously in thermal contact to be divided into separate, thermally isolated islands. |
hep-th/9408072 | Pawel Wegrzyn | Leszek Hadasz and Pawel Wegrzyn (Jagellonian Univ.) | Boundary terms in Nambu-Goto string action | 9 LaTeX pages and 3 PostScript figures (uuencoded), preprint
TPJU-15/94 | Phys.Rev. D51 (1995) 2891-2895 | 10.1103/PhysRevD.51.2891 | null | hep-th | null | We investigate classical strings defined by the Nambu-Goto action with the
boundary term added. We demonstrate that the latter term has a significant
bearing on the string dynamics. It is confirmed that new action terms that
depend on higher order derivatives of string coordinates cannot be considered
as continuous perturbations from the starting string functional. In the case
the boundary term reduces to the Gauss-Bonnet term, a stability analysis is
performed on the rotating rigid string solution. We determined the most generic
solution that the fluctuations grow to. Longitudinal string excitations are
found. The Regge trajectories are nonlinear.
| [
{
"created": "Fri, 12 Aug 1994 12:04:44 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Hadasz",
"Leszek",
"",
"Jagellonian Univ."
],
[
"Wegrzyn",
"Pawel",
"",
"Jagellonian Univ."
]
] | We investigate classical strings defined by the Nambu-Goto action with the boundary term added. We demonstrate that the latter term has a significant bearing on the string dynamics. It is confirmed that new action terms that depend on higher order derivatives of string coordinates cannot be considered as continuous perturbations from the starting string functional. In the case the boundary term reduces to the Gauss-Bonnet term, a stability analysis is performed on the rotating rigid string solution. We determined the most generic solution that the fluctuations grow to. Longitudinal string excitations are found. The Regge trajectories are nonlinear. |
1311.2562 | Tomonori Ugajin | Tomonori Ugajin | Two dimensional quantum quenches and holography | 27 pages,16 figures | null | null | IPMU13-0221,YITP-13-116 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a holographic realization of quantum quenches in two dimensional
conformal field theories. In particular, we discuss time evolutions of
holographic entanglement entropy in these backgrounds and compare them with CFT
results. The key ingredient of the construction is an introduction of a
spacetime boundary into bulk geometries, which is the gravity counterpart of a
boundary state in the dual CFT. We consider several examples, including local
quenches and an inhomogeneous quench which is dual to fusion of two black
string into the third one.
| [
{
"created": "Mon, 11 Nov 2013 20:16:19 GMT",
"version": "v1"
}
] | 2013-11-12 | [
[
"Ugajin",
"Tomonori",
""
]
] | We propose a holographic realization of quantum quenches in two dimensional conformal field theories. In particular, we discuss time evolutions of holographic entanglement entropy in these backgrounds and compare them with CFT results. The key ingredient of the construction is an introduction of a spacetime boundary into bulk geometries, which is the gravity counterpart of a boundary state in the dual CFT. We consider several examples, including local quenches and an inhomogeneous quench which is dual to fusion of two black string into the third one. |
0801.4421 | Alex Buchel | Alex Buchel | Shear viscosity of boost invariant plasma at finite coupling | 33 pages, no figures; v2: references added, typos corrected | Nucl.Phys.B802:281-306,2008 | 10.1016/j.nuclphysb.2008.03.009 | UWO-TH-08/2 | hep-th | null | We discuss string theory alpha' corrections in the dual description of the
expanding boost invariant N=4 supersymmetric Yang-Mills plasma at strong
coupling. We compute finite 't Hooft coupling corrections to the shear
viscosity and find that it disagrees with the equilibrium correlation function
computations. We comment on the possible source of the discrepancy.
| [
{
"created": "Tue, 29 Jan 2008 03:49:45 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Mar 2008 18:27:48 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Buchel",
"Alex",
""
]
] | We discuss string theory alpha' corrections in the dual description of the expanding boost invariant N=4 supersymmetric Yang-Mills plasma at strong coupling. We compute finite 't Hooft coupling corrections to the shear viscosity and find that it disagrees with the equilibrium correlation function computations. We comment on the possible source of the discrepancy. |
1910.11799 | Justinas Rumbutis | Lasma Alberte, Claudia de Rham, Arshia Momeni, Justinas Rumbutis,
Andrew J. Tolley | Positivity Constraints on Interacting Spin-2 Fields | 32 pages plus appendices, 16 figures | null | 10.1007/JHEP03(2020)097 | Imperial/TP/2019/LA/03 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The consistency of the EFT of two interacting spin-2 fields is checked by
applying forward limit positivity bounds on the scattering amplitudes to
exclude the region of parameter space devoid of a standard UV completion. We
focus on two classes of theories that have the highest possible EFT cutoff,
namely those theories modelled on ghost-free interacting theories of a single
massive spin-2 field. We find that the very existence of interactions between
the spin-2 fields implies more stringent bounds on all the parameters of the
EFT, even on the spin-2 self-interactions. This arises for two reasons. First,
with every new field included in the low-energy EFT, comes the `knowledge' of
an extra pole to be subtracted, hence strengthening the positivity bounds.
Second, while adding new fields increases the number of free parameters from
the new interactions, this is rapidly overcome by the increased number of
positivity bounds for different possible scattering processes. We also discuss
how positivity bounds appear to favour relations between operators that
effectively raise the cutoff of the EFT.
| [
{
"created": "Fri, 25 Oct 2019 15:30:02 GMT",
"version": "v1"
}
] | 2020-04-22 | [
[
"Alberte",
"Lasma",
""
],
[
"de Rham",
"Claudia",
""
],
[
"Momeni",
"Arshia",
""
],
[
"Rumbutis",
"Justinas",
""
],
[
"Tolley",
"Andrew J.",
""
]
] | The consistency of the EFT of two interacting spin-2 fields is checked by applying forward limit positivity bounds on the scattering amplitudes to exclude the region of parameter space devoid of a standard UV completion. We focus on two classes of theories that have the highest possible EFT cutoff, namely those theories modelled on ghost-free interacting theories of a single massive spin-2 field. We find that the very existence of interactions between the spin-2 fields implies more stringent bounds on all the parameters of the EFT, even on the spin-2 self-interactions. This arises for two reasons. First, with every new field included in the low-energy EFT, comes the `knowledge' of an extra pole to be subtracted, hence strengthening the positivity bounds. Second, while adding new fields increases the number of free parameters from the new interactions, this is rapidly overcome by the increased number of positivity bounds for different possible scattering processes. We also discuss how positivity bounds appear to favour relations between operators that effectively raise the cutoff of the EFT. |
0910.0445 | David Langlois | David Langlois | Glimpses into the early Universe | Invited talk at the XVI International Congress on Mathematical
Physics, Prague, 3-8 August 2009; 6 pages | null | 10.1142/9789814304634_0061 | null | hep-th astro-ph.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This contribution gives a brief overview of the theoretical ideas underlying
our current understanding of the early Universe. Confronting the predictions of
the early Universe models with cosmological observations, in particular of the
cosmic microwave background fluctuations, will improve our knowledge about the
physics of the primordial Universe.
| [
{
"created": "Fri, 2 Oct 2009 17:22:39 GMT",
"version": "v1"
}
] | 2017-08-23 | [
[
"Langlois",
"David",
""
]
] | This contribution gives a brief overview of the theoretical ideas underlying our current understanding of the early Universe. Confronting the predictions of the early Universe models with cosmological observations, in particular of the cosmic microwave background fluctuations, will improve our knowledge about the physics of the primordial Universe. |
hep-th/9409041 | Mikhail Volkov | Mikhail S.Volkov and Dmitri D.Gal'tsov | Odd-Parity Negative Modes of Einstein-Yang-Mills Black Holes and
Sphalerons | (minor typographical errors fixed, to appear in Phys.Lett.B) | Phys.Lett.B341:279-285,1995 | 10.1016/0370-2693(94)01310-9 | null | hep-th gr-qc | null | An analytical proof of the existence of negative modes in the odd--parity
perturbation sector is given for all known non-abelian Einstein--Yang--Mills
black holes. The significance of the normalizability condition in the
functional stability analysis is emphasized. The role of the odd--parity
negative modes in the sphaleron interpretation of the Bartnik--McKinnon
solutions is discussed.
| [
{
"created": "Thu, 8 Sep 1994 10:04:26 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Oct 1994 14:12:08 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Volkov",
"Mikhail S.",
""
],
[
"Gal'tsov",
"Dmitri D.",
""
]
] | An analytical proof of the existence of negative modes in the odd--parity perturbation sector is given for all known non-abelian Einstein--Yang--Mills black holes. The significance of the normalizability condition in the functional stability analysis is emphasized. The role of the odd--parity negative modes in the sphaleron interpretation of the Bartnik--McKinnon solutions is discussed. |
0802.2449 | Bin Wang | Xi He, Songbai-Chen, Bin Wang, Rong-Gen Cai and Chi-Yong Lin | Quasinormal modes in the background of charged Kaluza-Klein black hole
with squashed horizons | revised version, accepted for publication in Phys.Lett.B | Phys.Lett.B665:392-400,2008 | 10.1016/j.physletb.2008.06.038 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the scalar perturbation in the background of the charged
Kaluza-Klein black holes with squashed horizons. We find that the position of
infinite discontinuities of the heat capacities can be reflected in quasinormal
spectrum. This shows the possible non-trivial relation between the
thermodynamical and dynamical properties of black holes.
| [
{
"created": "Mon, 18 Feb 2008 10:24:09 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Jun 2008 11:54:45 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"He",
"Xi",
""
],
[
"Songbai-Chen",
"",
""
],
[
"Wang",
"Bin",
""
],
[
"Cai",
"Rong-Gen",
""
],
[
"Lin",
"Chi-Yong",
""
]
] | We study the scalar perturbation in the background of the charged Kaluza-Klein black holes with squashed horizons. We find that the position of infinite discontinuities of the heat capacities can be reflected in quasinormal spectrum. This shows the possible non-trivial relation between the thermodynamical and dynamical properties of black holes. |
1912.05554 | Nico Wintergerst | Troels Harmark and Nico Wintergerst | Nonrelativistic Corners of ${\cal N} = 4$ Supersymmetric Yang--Mills
Theory | 6 pages, 1 figure; v2: minor clarifications added, matches journal
version | Phys. Rev. Lett. 124, 171602 (2020) | 10.1103/PhysRevLett.124.171602 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that ${\cal N} = 4$ supersymmetric-Yang-Mills (SYM) theory on
$\mathbb{R} \times S^3$ with gauge group $\text{SU}(N)$ is described in a
near-BPS limit by a simple lower-dimensional nonrelativistic field theory with
$\text{SU}(1,1) \times \text{U}(1)$ invariant interactions. In this limit, a
single complex adjoint scalar field survives, and part of its interaction is
obtained by exactly integrating out the gauge boson of the SYM theory. Taking
into account normal ordering, the interactions match the one-loop dilatation
operator of the $\text{SU}(1,1)$ sector, establishing the consistency of the
limit at the quantum level. We discover a tantalizing field-theoretic
structure, corresponding to a $(1+1)$-dimensional complex chiral boson on a
circle coupled to a nondynamical gauge field, both in the adjoint
representation of $\text{SU}(N)$. The successful construction of a
lower-dimensional nonrelativistic field theory in the $\text{SU}(1,1)$ near-BPS
limit provides a proof of concept for other BPS bounds. These are expected to
lead to richer field theories in nonrelativistic corners of ${\cal N} = 4$ SYM
that include fermions, gauge fields and supersymmetry and can provide a novel
path towards understanding strongly coupled finite-$N$ dynamics of gauge
theories.
| [
{
"created": "Wed, 11 Dec 2019 19:00:01 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Apr 2020 15:55:52 GMT",
"version": "v2"
}
] | 2020-05-01 | [
[
"Harmark",
"Troels",
""
],
[
"Wintergerst",
"Nico",
""
]
] | We show that ${\cal N} = 4$ supersymmetric-Yang-Mills (SYM) theory on $\mathbb{R} \times S^3$ with gauge group $\text{SU}(N)$ is described in a near-BPS limit by a simple lower-dimensional nonrelativistic field theory with $\text{SU}(1,1) \times \text{U}(1)$ invariant interactions. In this limit, a single complex adjoint scalar field survives, and part of its interaction is obtained by exactly integrating out the gauge boson of the SYM theory. Taking into account normal ordering, the interactions match the one-loop dilatation operator of the $\text{SU}(1,1)$ sector, establishing the consistency of the limit at the quantum level. We discover a tantalizing field-theoretic structure, corresponding to a $(1+1)$-dimensional complex chiral boson on a circle coupled to a nondynamical gauge field, both in the adjoint representation of $\text{SU}(N)$. The successful construction of a lower-dimensional nonrelativistic field theory in the $\text{SU}(1,1)$ near-BPS limit provides a proof of concept for other BPS bounds. These are expected to lead to richer field theories in nonrelativistic corners of ${\cal N} = 4$ SYM that include fermions, gauge fields and supersymmetry and can provide a novel path towards understanding strongly coupled finite-$N$ dynamics of gauge theories. |
hep-th/0408161 | Urs Schreiber | Urs Schreiber | Super-Pohlmeyer invariants and boundary states for non-abelian gauge
fields | 19 pages | JHEP0410:035,2004 | 10.1088/1126-6708/2004/10/035 | null | hep-th math-ph math.MP | null | Aspects of the supersymmetric extension of the Pohlmeyer invariants are
studied, and their relation to superstring boundary states for non-abelian
gauge fields is discussed. We show that acting with a super-Pohlmeyer invariant
with respect to some non-abelian gauge field A on the boundary state of a bare
D9 brane produces the boundary state describing that non-abelian background
gauge field on the brane. Known consistency conditions on that boundary state
equivalent to the background equations of motion for A hence also apply to the
quantized Pohlmeyer invariants.
| [
{
"created": "Fri, 20 Aug 2004 18:23:54 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Schreiber",
"Urs",
""
]
] | Aspects of the supersymmetric extension of the Pohlmeyer invariants are studied, and their relation to superstring boundary states for non-abelian gauge fields is discussed. We show that acting with a super-Pohlmeyer invariant with respect to some non-abelian gauge field A on the boundary state of a bare D9 brane produces the boundary state describing that non-abelian background gauge field on the brane. Known consistency conditions on that boundary state equivalent to the background equations of motion for A hence also apply to the quantized Pohlmeyer invariants. |
hep-th/0409135 | Daniel S. Freed | Daniel S. Freed, Gregory W. Moore | Setting the quantum integrand of M-theory | 52 pages; revised version for publication in Commun. Math. Phys.
corrects a few typos | Commun.Math.Phys. 263 (2006) 89-132 | 10.1007/s00220-005-1482-7 | null | hep-th math.DG | null | In anomaly-free quantum field theories the integrand in the bosonic
functional integral--the exponential of the effective action after integrating
out fermions--is often defined only up to a phase without an additional choice.
We term this choice ``setting the quantum integrand''. In the low-energy
approximation to M-theory the E(8)-model for the C-field allows us to set the
quantum integrand using geometric index theory. We derive mathematical results
of independent interest about pfaffians of Dirac operators in 8k+3 dimensions,
both on closed manifolds and manifolds with boundary. These theorems are used
to set the quantum integrand of M-theory for closed manifolds and for compact
manifolds with either temporal (global) or spatial (local) boundary conditions.
In particular, we show that M-theory makes sense on arbitrary 11-manifolds with
spatial boundary, generalizing the construction of heterotic M-theory on
cylinders.
| [
{
"created": "Tue, 14 Sep 2004 02:12:13 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Jan 2005 22:26:20 GMT",
"version": "v2"
},
{
"created": "Thu, 22 Dec 2005 17:54:15 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Freed",
"Daniel S.",
""
],
[
"Moore",
"Gregory W.",
""
]
] | In anomaly-free quantum field theories the integrand in the bosonic functional integral--the exponential of the effective action after integrating out fermions--is often defined only up to a phase without an additional choice. We term this choice ``setting the quantum integrand''. In the low-energy approximation to M-theory the E(8)-model for the C-field allows us to set the quantum integrand using geometric index theory. We derive mathematical results of independent interest about pfaffians of Dirac operators in 8k+3 dimensions, both on closed manifolds and manifolds with boundary. These theorems are used to set the quantum integrand of M-theory for closed manifolds and for compact manifolds with either temporal (global) or spatial (local) boundary conditions. In particular, we show that M-theory makes sense on arbitrary 11-manifolds with spatial boundary, generalizing the construction of heterotic M-theory on cylinders. |
hep-th/0103137 | William E. Baylis | Greg Trayling and W. E. Baylis | A geometric basis for the standard-model gauge group | 17 pages, LaTeX requires iopart. Accepted for publication in J. Phys.
A: Math. Gen. 9 Mar 2001. Typos corrected | J.Phys.A34:3309-3324,2001; Int.J.Mod.Phys.A16S1C:909-912,2001 | 10.1088/0305-4470/34/15/309 | null | hep-th | null | A geometric approach to the standard model in terms of the Clifford algebra
Cl_7 is advanced. A key feature of the model is its use of an algebraic spinor
for one generation of leptons and quarks. Spinor transformations separate into
left-sided ("exterior") and right-sided ("interior") types. By definition,
Poincare transformations are exterior ones. We consider all rotations in the
seven-dimensional space that (1) conserve the spacetime components of the
particle and antiparticle currents and (2) do not couple the right-chiral
neutrino. These rotations comprise additional exterior transformations that
commute with the Poincare group and form the group SU(2)_L, interior ones that
constitute SU(3)_C, and a unique group of coupled double-sided rotations with
U(1)_Y symmetry. The spinor mediates a physical coupling of Poincare and
isotopic symmetries within the restrictions of the Coleman--Mandula theorem.
The four extra spacelike dimensions in the model form a basis for the Higgs
isodoublet field, whose symmetry requires the chirality of SU(2). The charge
assignments of both the fundamental fermions and the Higgs boson are produced
exactly.
| [
{
"created": "Sat, 17 Mar 2001 14:26:36 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Mar 2001 20:57:38 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Trayling",
"Greg",
""
],
[
"Baylis",
"W. E.",
""
]
] | A geometric approach to the standard model in terms of the Clifford algebra Cl_7 is advanced. A key feature of the model is its use of an algebraic spinor for one generation of leptons and quarks. Spinor transformations separate into left-sided ("exterior") and right-sided ("interior") types. By definition, Poincare transformations are exterior ones. We consider all rotations in the seven-dimensional space that (1) conserve the spacetime components of the particle and antiparticle currents and (2) do not couple the right-chiral neutrino. These rotations comprise additional exterior transformations that commute with the Poincare group and form the group SU(2)_L, interior ones that constitute SU(3)_C, and a unique group of coupled double-sided rotations with U(1)_Y symmetry. The spinor mediates a physical coupling of Poincare and isotopic symmetries within the restrictions of the Coleman--Mandula theorem. The four extra spacelike dimensions in the model form a basis for the Higgs isodoublet field, whose symmetry requires the chirality of SU(2). The charge assignments of both the fundamental fermions and the Higgs boson are produced exactly. |
0911.4244 | Takeshi Oota | Hiroshi Itoyama, Kazunobu Maruyoshi and Takeshi Oota | The Quiver Matrix Model and 2d-4d Conformal Connection | 37 pages; v2: version to appear in Prog. Theor. Phys. Title changed.
Isomorphism of the SU(n) spectral curve and the SW curve of Witten-Gaiotto
form as well as the matching of the mass parameters more fully given | Prog.Theor.Phys.123:957-987,2010 | 10.1143/PTP.123.957 | OCU-PHYS 324, YITP-09-75 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review the quiver matrix model (the ITEP model) in the light of the recent
progress on 2d-4d connection of conformal field theories, in particular, on the
relation between Toda field theories and a class of quiver superconformal gauge
theories. On the basis of the CFT representation of the beta deformation of the
model, a quantum spectral curve is introduced as << det (x- i g_s \partial
\phi(z)) >>=0 at finite N and for beta \neq 1. The planar loop equation in the
large N limit follows with the aid of W_n constraints. Residue analysis is
provided both for the curve of the matrix model with the "multi-log" potential
and for the Seiberg-Witten curve in the case of SU(n) with 2n flavors, leading
to the matching of the mass parameters. The isomorphism of the two curves is
made manifest.
| [
{
"created": "Sun, 22 Nov 2009 11:18:58 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Jun 2010 10:53:28 GMT",
"version": "v2"
}
] | 2014-11-20 | [
[
"Itoyama",
"Hiroshi",
""
],
[
"Maruyoshi",
"Kazunobu",
""
],
[
"Oota",
"Takeshi",
""
]
] | We review the quiver matrix model (the ITEP model) in the light of the recent progress on 2d-4d connection of conformal field theories, in particular, on the relation between Toda field theories and a class of quiver superconformal gauge theories. On the basis of the CFT representation of the beta deformation of the model, a quantum spectral curve is introduced as << det (x- i g_s \partial \phi(z)) >>=0 at finite N and for beta \neq 1. The planar loop equation in the large N limit follows with the aid of W_n constraints. Residue analysis is provided both for the curve of the matrix model with the "multi-log" potential and for the Seiberg-Witten curve in the case of SU(n) with 2n flavors, leading to the matching of the mass parameters. The isomorphism of the two curves is made manifest. |
hep-th/0305251 | Kazunori Takenaga | Kazunori Takenaga (Osaka University) | Effect of Bare Mass on the Hosotani Mechanism | 10 pages, version to appear in Phys. Lett. B | Phys.Lett. B570 (2003) 244-250 | 10.1016/j.physletb.2003.07.062 | OU-HET-447/2003 | hep-th | null | It is pointed out that the existence of bare mass terms for matter fields
changes gauge symmetry patterns through the Hosotani mechanism. As a
demonstration, we study an SU(2) gauge model with massive adjoint fermions
defined on $M^4\otimes S^1$. It turns out that the vacuum structure changes at
certain critical values of $mL$, where $m~(L)$ stands for the bare mass (the
circumference of $S^1$). The gauge symmetry breaking patterns are different
from models with massless adjoint fermions. We also consider a supersymmmetric
SU(2) gauge model with adjoint hypermultiplets, in which the supersymmetry is
broken by bare mass terms for the gaugino and squark fields instead of the
Scherk-Schwarz mechanism.
| [
{
"created": "Thu, 29 May 2003 05:00:22 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Aug 2003 03:57:48 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Takenaga",
"Kazunori",
"",
"Osaka University"
]
] | It is pointed out that the existence of bare mass terms for matter fields changes gauge symmetry patterns through the Hosotani mechanism. As a demonstration, we study an SU(2) gauge model with massive adjoint fermions defined on $M^4\otimes S^1$. It turns out that the vacuum structure changes at certain critical values of $mL$, where $m~(L)$ stands for the bare mass (the circumference of $S^1$). The gauge symmetry breaking patterns are different from models with massless adjoint fermions. We also consider a supersymmmetric SU(2) gauge model with adjoint hypermultiplets, in which the supersymmetry is broken by bare mass terms for the gaugino and squark fields instead of the Scherk-Schwarz mechanism. |
0902.4341 | Varghese Mathai | Peter Bouwknegt (ANU), Varghese Mathai (Adelaide) | T-Duality as a Duality of Loop Group Bundles | 8 pages, latex 2e, new reference added, J.Phys.A: Fast Track
Publications (to appear) | J.Phys.A:Math.Theor., 42 no.16 (2009) 162001, 8 pages, Fast Track
Communication | 10.1088/1751-8113/42/16/162001 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Representing the data of a string compactified on a circle in the background
of H-flux in terms of the geometric data of a principal loop group bundle, we
show that T-duality in type II string theory can be understood as the
interchange of the momentum and winding homomorphisms of the principal loop
group bundle, thus giving rise to a new interpretation of T-duality.
| [
{
"created": "Wed, 25 Feb 2009 11:02:17 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Mar 2009 10:06:42 GMT",
"version": "v2"
}
] | 2009-04-01 | [
[
"Bouwknegt",
"Peter",
"",
"ANU"
],
[
"Mathai",
"Varghese",
"",
"Adelaide"
]
] | Representing the data of a string compactified on a circle in the background of H-flux in terms of the geometric data of a principal loop group bundle, we show that T-duality in type II string theory can be understood as the interchange of the momentum and winding homomorphisms of the principal loop group bundle, thus giving rise to a new interpretation of T-duality. |
hep-th/9601067 | Alok Kumar | Alok Kumar | Orientifold and Type II Dual Pairs | 17 pages | Phys.Rev. D54 (1996) 1650-1655 | 10.1103/PhysRevD.54.1650 | IP/BBSR/96-04 | hep-th | null | In this paper we present a symmetry of a toroidally compactified type II
string theory. This symmetry has the interpretaion that it interchanges the
left and the right-moving worldsheet coordinates and reverses the orientations
of some of the spatial coordinates. We also identify another discrete symmetry
of the type II theory which is related to the above one by a nontrivial
U-duality element of string theory. This symmetry, however, has trivial action
on the worldsheet coordinates and corresponds to an improper T-duality
rotation. We then construct examples of type II dual pairs in four dimensions
by modding out the known type II dual pairs by the above symmetries. We show
the explicit matching of the spectrum and supersymmetries in these examples.
| [
{
"created": "Fri, 12 Jan 1996 15:49:25 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Kumar",
"Alok",
""
]
] | In this paper we present a symmetry of a toroidally compactified type II string theory. This symmetry has the interpretaion that it interchanges the left and the right-moving worldsheet coordinates and reverses the orientations of some of the spatial coordinates. We also identify another discrete symmetry of the type II theory which is related to the above one by a nontrivial U-duality element of string theory. This symmetry, however, has trivial action on the worldsheet coordinates and corresponds to an improper T-duality rotation. We then construct examples of type II dual pairs in four dimensions by modding out the known type II dual pairs by the above symmetries. We show the explicit matching of the spectrum and supersymmetries in these examples. |
hep-th/9508012 | Tatsuya Ueno | Tatsuya Ueno | Integrable Field Theories derived from 4D Self-dual Gravity | 11 pages, Latex (minor changes, new address added, to appear in
Mod.Phys.Lett.A) | Mod.Phys.Lett. A11 (1996) 545-552 | 10.1142/S0217732396000588 | KHTP-95-08, YITP-95-23 | hep-th gr-qc | null | We reformulate the self-dual Einstein equation as a trio of differential form
equations for simple two-forms. Using them, we can quickly show the equivalence
of the theory and 2D sigma models valued in an infinite-dimensional group,
which was shown by Park and Husain earlier. We also derive other field theories
including the 2D Higgs bundle equation. This formulation elucidates the
relation among those field theories.
| [
{
"created": "Fri, 4 Aug 1995 04:24:16 GMT",
"version": "v1"
},
{
"created": "Wed, 31 Jan 1996 01:15:10 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Ueno",
"Tatsuya",
""
]
] | We reformulate the self-dual Einstein equation as a trio of differential form equations for simple two-forms. Using them, we can quickly show the equivalence of the theory and 2D sigma models valued in an infinite-dimensional group, which was shown by Park and Husain earlier. We also derive other field theories including the 2D Higgs bundle equation. This formulation elucidates the relation among those field theories. |
2312.07791 | Ricardo Andr\'es Mart\'inez Von Dossow | Andr\'es G\'omez, R. Mart\'inez von Dossow, A. Mart\'in-Ruiz and Luis
F. Urrutia | Lorentz invariance violation and the CPT-odd electromagnetic response of
a tilted anisotropic Weyl semimetal | null | Phys. Rev. D 109, 065005 (2024) | 10.1103/PhysRevD.109.065005 | null | hep-th cond-mat.mes-hall hep-ph | http://creativecommons.org/licenses/by/4.0/ | We derive the electromagnetic response of a particular fermionic sector in
the minimal QED contribution to the Standard Model Extension (SME), which can
be physically realized in terms of a model describing a tilted and anisotropic
Weyl semimetal (WSM). The contact is made through the identification of the
Dirac-like Hamiltonian resulting from the SME with that corresponding to the
WSM in the linearized tight-binding approximation. We first calculate the
effective action by computing the non-perturbative vacuum polarization tensor
using thermal field theory techniques, focusing upon the corrections at finite
chemical potential and zero temperature. Next, we confirm our results by a
direct calculation of the anomalous Hall current within a chiral kinetic theory
approach.
In an ideal Dirac cone picture of the WSM (isotropic and non-tilted) such
response is known to be governed by axion electrodynamics, with the space-time
dependent axion angle $\Theta (\mathbf{r},t) = 2 (\mathbf{b} \cdot \mathbf{r} -
b _{0} t)$, being $2 \mathbf{b}$ and $2b _{0}$ the separation of the Weyl nodes
in momentum and energy, respectively. In this paper we demonstrate that the
node tilting and the anisotropies induce novel corrections at a finite density
which however preserve the structure of the axionic field theory. We apply our
results to the ideal Weyl semimetal $\mathrm{EuCd}_{2}\mathrm{As}_{2}$ and to
the highly anisotropic and tilted monopnictide $\mathrm{TaAs}$.
| [
{
"created": "Tue, 12 Dec 2023 23:16:25 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Mar 2024 19:50:36 GMT",
"version": "v2"
}
] | 2024-03-14 | [
[
"Gómez",
"Andrés",
""
],
[
"von Dossow",
"R. Martínez",
""
],
[
"Martín-Ruiz",
"A.",
""
],
[
"Urrutia",
"Luis F.",
""
]
] | We derive the electromagnetic response of a particular fermionic sector in the minimal QED contribution to the Standard Model Extension (SME), which can be physically realized in terms of a model describing a tilted and anisotropic Weyl semimetal (WSM). The contact is made through the identification of the Dirac-like Hamiltonian resulting from the SME with that corresponding to the WSM in the linearized tight-binding approximation. We first calculate the effective action by computing the non-perturbative vacuum polarization tensor using thermal field theory techniques, focusing upon the corrections at finite chemical potential and zero temperature. Next, we confirm our results by a direct calculation of the anomalous Hall current within a chiral kinetic theory approach. In an ideal Dirac cone picture of the WSM (isotropic and non-tilted) such response is known to be governed by axion electrodynamics, with the space-time dependent axion angle $\Theta (\mathbf{r},t) = 2 (\mathbf{b} \cdot \mathbf{r} - b _{0} t)$, being $2 \mathbf{b}$ and $2b _{0}$ the separation of the Weyl nodes in momentum and energy, respectively. In this paper we demonstrate that the node tilting and the anisotropies induce novel corrections at a finite density which however preserve the structure of the axionic field theory. We apply our results to the ideal Weyl semimetal $\mathrm{EuCd}_{2}\mathrm{As}_{2}$ and to the highly anisotropic and tilted monopnictide $\mathrm{TaAs}$. |
hep-th/9908015 | Bertfried Fauser | Bertfried Fauser, Heinz Dehnen | Isospin from Spin by Compositenes | 8 pages, 21kb, 1 figure, uses sprocl.sty | Zacatecas, 23.-26. June 1999, Proc. Lorentz Group, CPT and
Neutrinos, A E Chubykalo et al. Eds., World Scientific, Singapore 2000,
135-142 | null | null | hep-th | null | We propose a new method to generate the internal isospin degree of freedom by
non-local bound states. This can be seen as motivated by Bargmann-Wigner like
considerations, which originated from local spin coupling. However, our
approach is not of purely group theoretical origin, but emerges from a
geometrical model. The rotational part of the Lorentz group can be seen to
mutate into the internal iso-group under some additional assumptions. The bound
states can thereafter be characterized by either a triple of spinors (\xi_1,
\xi_2, \eta) or a pair of an average spinor and a ``gauge'' transformation
(\phi, R). Therefore, this triple can be considered to be an isospinor.
Inducing the whole dynamics from the covariant gauge coupling we arrive at an
isospin gauge theory and its Lagrangian formulation. Clifford algebraic
methods, especially the Hestenes approach to the geometric meaning of spinors,
are the most useful concepts for such a development. The method is not
restricted to isospin, which served as an example only.
| [
{
"created": "Mon, 2 Aug 1999 17:16:41 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Fauser",
"Bertfried",
""
],
[
"Dehnen",
"Heinz",
""
]
] | We propose a new method to generate the internal isospin degree of freedom by non-local bound states. This can be seen as motivated by Bargmann-Wigner like considerations, which originated from local spin coupling. However, our approach is not of purely group theoretical origin, but emerges from a geometrical model. The rotational part of the Lorentz group can be seen to mutate into the internal iso-group under some additional assumptions. The bound states can thereafter be characterized by either a triple of spinors (\xi_1, \xi_2, \eta) or a pair of an average spinor and a ``gauge'' transformation (\phi, R). Therefore, this triple can be considered to be an isospinor. Inducing the whole dynamics from the covariant gauge coupling we arrive at an isospin gauge theory and its Lagrangian formulation. Clifford algebraic methods, especially the Hestenes approach to the geometric meaning of spinors, are the most useful concepts for such a development. The method is not restricted to isospin, which served as an example only. |
hep-th/0111240 | Masao Ninomiya | Holger B.Nielsen and Masao Ninomiya | A New Type of String Field Theory | 1 figure | null | 10.1063/1.1454373 | null | hep-th | null | We propose a new way of second quantizing string theory. The method is based
on considering the Fock space of strings described by constituents which make
up the $X^\mu_R$ and the $X^\mu_L$ i.e. the right and left mover modes
separately. A state with any number of strings get represented by the Cartesian
product of two free particle Fock spaces, one for right mover degrees of
freedom, and one for left. The resulting string field theory is a free theory.
| [
{
"created": "Tue, 27 Nov 2001 06:11:01 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Nielsen",
"Holger B.",
""
],
[
"Ninomiya",
"Masao",
""
]
] | We propose a new way of second quantizing string theory. The method is based on considering the Fock space of strings described by constituents which make up the $X^\mu_R$ and the $X^\mu_L$ i.e. the right and left mover modes separately. A state with any number of strings get represented by the Cartesian product of two free particle Fock spaces, one for right mover degrees of freedom, and one for left. The resulting string field theory is a free theory. |
0909.0945 | Yuji Tachikawa | Luis F. Alday, Davide Gaiotto, Sergei Gukov, Yuji Tachikawa, and
Herman Verlinde | Loop and surface operators in N=2 gauge theory and Liouville modular
geometry | 60 pages, 11 figures; v3: further minor corrections, published
version | JHEP 1001:113,2010 | 10.1007/JHEP01(2010)113 | CALT-68-2741, PUPT-2311 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently, a duality between Liouville theory and four dimensional N=2 gauge
theory has been uncovered by some of the authors. We consider the role of
extended objects in gauge theory, surface operators and line operators, under
this correspondence. We map such objects to specific operators in Liouville
theory. We employ this connection to compute the expectation value of general
supersymmetric 't Hooft-Wilson line operators in a variety of N=2 gauge
theories.
| [
{
"created": "Sun, 6 Sep 2009 18:55:02 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Sep 2009 23:27:14 GMT",
"version": "v2"
},
{
"created": "Tue, 9 Feb 2010 15:48:44 GMT",
"version": "v3"
}
] | 2010-03-02 | [
[
"Alday",
"Luis F.",
""
],
[
"Gaiotto",
"Davide",
""
],
[
"Gukov",
"Sergei",
""
],
[
"Tachikawa",
"Yuji",
""
],
[
"Verlinde",
"Herman",
""
]
] | Recently, a duality between Liouville theory and four dimensional N=2 gauge theory has been uncovered by some of the authors. We consider the role of extended objects in gauge theory, surface operators and line operators, under this correspondence. We map such objects to specific operators in Liouville theory. We employ this connection to compute the expectation value of general supersymmetric 't Hooft-Wilson line operators in a variety of N=2 gauge theories. |
2305.13480 | Mina Aganagic | Mina Aganagic, Elise LePage and Miroslav Rapcak | Homological Link Invariants from Floer Theory | 146 pages | null | null | null | hep-th math.AG math.QA math.RT math.SG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | There is a generalization of Heegaard-Floer theory from
${\mathfrak{gl}}_{1|1}$ to other Lie (super)algebras $^L{\mathfrak{g}}$. The
corresponding category of A-branes is solvable explicitly and categorifies
quantum $U_q(^L{\mathfrak{g}})$ link invariants. The theory was discovered in
\cite{A1,A2}, using homological mirror symmetry. It has novel features,
including equivariance and, if $^L{\mathfrak{g}} \neq {\mathfrak{gl}}_{1|1}$,
coefficients in categories. In this paper, we describe the theory and how it is
solved in detail in the two simplest cases: the ${\mathfrak{gl}}_{1|1}$ theory
itself, categorifying the Alexander polynomial, and the ${\mathfrak{su}}_{2}$
theory, categorifying the Jones polynomial. Our approach to solving the theory
is new, even in the familiar ${\mathfrak{gl}}_{1|1}$ case.
| [
{
"created": "Mon, 22 May 2023 20:44:43 GMT",
"version": "v1"
}
] | 2023-05-24 | [
[
"Aganagic",
"Mina",
""
],
[
"LePage",
"Elise",
""
],
[
"Rapcak",
"Miroslav",
""
]
] | There is a generalization of Heegaard-Floer theory from ${\mathfrak{gl}}_{1|1}$ to other Lie (super)algebras $^L{\mathfrak{g}}$. The corresponding category of A-branes is solvable explicitly and categorifies quantum $U_q(^L{\mathfrak{g}})$ link invariants. The theory was discovered in \cite{A1,A2}, using homological mirror symmetry. It has novel features, including equivariance and, if $^L{\mathfrak{g}} \neq {\mathfrak{gl}}_{1|1}$, coefficients in categories. In this paper, we describe the theory and how it is solved in detail in the two simplest cases: the ${\mathfrak{gl}}_{1|1}$ theory itself, categorifying the Alexander polynomial, and the ${\mathfrak{su}}_{2}$ theory, categorifying the Jones polynomial. Our approach to solving the theory is new, even in the familiar ${\mathfrak{gl}}_{1|1}$ case. |
hep-th/0311275 | Soo-Jong Rey | Ruth Britto, Bo Feng, Oleg Lunin, Soo-Jong Rey | U(N) Instantons on N=1/2 superspace -- exact solution & geometry of
moduli space | 39 pages, 3 figures, JHEP style; v2. typos corrected + a paragraph
added | Phys.Rev. D69 (2004) 126004 | 10.1103/PhysRevD.69.126004 | SNUST 031103 | hep-th math-ph math.MP | null | We construct the exact solution of one (anti)instanton in N=1/2 super
Yang-Mills theory defined on non(anti)commutative superspace. We first identify
N = 1/2 superconformal invariance as maximal spacetime symmetry. For gauge
group U(2), SU(2) part of the solution is given by the standard
(anti)instanton, but U(1) field strength also turns out nonzero. The solution
is SO(4) rotationally symmetric. For gauge group U(N), in contrast to the U(2)
case, we show that the entire U(N) part of the solution is deformed by
non(anti)commutativity and fermion zero-modes. The solution is no longer
rotationally symmetric; it is polarized into an axially symmetric configuration
because of the underlying non(anti)commutativity. We compute the `information
metric' of one (anti) instanton. We find that moduli space geometry is deformed
from hyperbolic space (Euclidean anti-de Sitter space) in a way anticipated
from reduced spacetime symmetry. Remarkably, the volume measure of the moduli
space turns out to be independent of the non(anti)commutativity. Implications
to D-branes in Ramond- Ramond flux background and Maldacena's gauge-gravity
correspondence are discussed.
| [
{
"created": "Fri, 28 Nov 2003 20:32:10 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Dec 2003 18:54:25 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Britto",
"Ruth",
""
],
[
"Feng",
"Bo",
""
],
[
"Lunin",
"Oleg",
""
],
[
"Rey",
"Soo-Jong",
""
]
] | We construct the exact solution of one (anti)instanton in N=1/2 super Yang-Mills theory defined on non(anti)commutative superspace. We first identify N = 1/2 superconformal invariance as maximal spacetime symmetry. For gauge group U(2), SU(2) part of the solution is given by the standard (anti)instanton, but U(1) field strength also turns out nonzero. The solution is SO(4) rotationally symmetric. For gauge group U(N), in contrast to the U(2) case, we show that the entire U(N) part of the solution is deformed by non(anti)commutativity and fermion zero-modes. The solution is no longer rotationally symmetric; it is polarized into an axially symmetric configuration because of the underlying non(anti)commutativity. We compute the `information metric' of one (anti) instanton. We find that moduli space geometry is deformed from hyperbolic space (Euclidean anti-de Sitter space) in a way anticipated from reduced spacetime symmetry. Remarkably, the volume measure of the moduli space turns out to be independent of the non(anti)commutativity. Implications to D-branes in Ramond- Ramond flux background and Maldacena's gauge-gravity correspondence are discussed. |
hep-th/0107015 | Andreas Fring | Olalla Castro-Alvaredo and Andreas Fring | Form factors from free fermionic Fock fields, the Federbush model | 30 pages Latex, one section added | Nucl.Phys. B618 (2001) 437-464 | 10.1016/S0550-3213(01)00462-X | null | hep-th | null | By representing the field content as well as the particle creation operators
in terms of fermionic Fock operators, we compute the corresponding matrix
elements of the Federbush model. Only when these matrix elements satisfy the
form factor consistency equations involving anyonic factors of local
commutativity, the corresponding operators are local. We carry out the
ultraviolet limit, analyze the momentum space cluster properties and
demonstrate how the Federbush model can be obtained from the
$SU(3)_3$-homogeneous sine-Gordon model. We propose a new Lagrangian which on
one hand constitutes a generalization of the Federbush model in a Lie algebraic
fashion and on the other a certain limit of the homogeneous sine-Gordon models.
| [
{
"created": "Tue, 3 Jul 2001 13:20:29 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Jul 2001 16:38:14 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Castro-Alvaredo",
"Olalla",
""
],
[
"Fring",
"Andreas",
""
]
] | By representing the field content as well as the particle creation operators in terms of fermionic Fock operators, we compute the corresponding matrix elements of the Federbush model. Only when these matrix elements satisfy the form factor consistency equations involving anyonic factors of local commutativity, the corresponding operators are local. We carry out the ultraviolet limit, analyze the momentum space cluster properties and demonstrate how the Federbush model can be obtained from the $SU(3)_3$-homogeneous sine-Gordon model. We propose a new Lagrangian which on one hand constitutes a generalization of the Federbush model in a Lie algebraic fashion and on the other a certain limit of the homogeneous sine-Gordon models. |
1810.05402 | B\'alint Kurgyis | B\'alint Kurgyis, M\'at\'e Csan\'ad | Observables from a perturbative, accelerating solution of relativistic
hydrodynamics | 6 pages, 2 figures, proceedings for XIII Workshop on Particle
Correlations and Femtoscopy, 22-26 May 2018 | Acta Phys. Pol. B Proc. Suppl. vol. 12 (2), pp. 169 - 174 (2019) | 10.5506/APhysPolBSupp.12.169 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The discovery of the almost perfect fluid like nature of the strongly
interacting quark-gluon plasma was one of the most important discoveries of
heavy-ion physics in recent decades. The experimental results are well
described by hydrodynamical models. Most of these models are numerical
simulations, however the analytic solutions are also important in understanding
the time evolution of the quark-gluon plasma created in the heavy-ion
collisions. Here we present a perturbative, accelerating solution on top of a
known solution, the relativistic Hubble flow. We describe the perturbative
class of solutions, and calculate a few observables for a selected solution.
| [
{
"created": "Fri, 12 Oct 2018 08:31:51 GMT",
"version": "v1"
}
] | 2019-09-06 | [
[
"Kurgyis",
"Bálint",
""
],
[
"Csanád",
"Máté",
""
]
] | The discovery of the almost perfect fluid like nature of the strongly interacting quark-gluon plasma was one of the most important discoveries of heavy-ion physics in recent decades. The experimental results are well described by hydrodynamical models. Most of these models are numerical simulations, however the analytic solutions are also important in understanding the time evolution of the quark-gluon plasma created in the heavy-ion collisions. Here we present a perturbative, accelerating solution on top of a known solution, the relativistic Hubble flow. We describe the perturbative class of solutions, and calculate a few observables for a selected solution. |
2402.17605 | A. Yu. Petrov | A. C. Lehum, J. R. Nascimento, A. Yu. Petrov, P. J. Porfirio | One-loop corrections in Maxwell-metric-affine bumblebee gravity | 12 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we consider the coupling of the metric-affine bumblebee
gravity to the Abelian gauge field and obtain the effective model corresponding
to the weak gravity limit of this theory. The effective bumblebee theory
displays new unconventional couplings between the bumblebee field and its field
strength, and the $U(1)$ gauge field along with its respective field strength,
as a result of the non-metricity effects. Thus, being a new gauge-bumblebee
theory, it represents an example of vector-vector couplings which are very
rarely considered, if not entirely overlooked, in the Abelian case. For this
theory we calculate the lower perturbative corrections. We close the paper with
discussions of other possible vector-vector couplings.
| [
{
"created": "Tue, 27 Feb 2024 15:32:47 GMT",
"version": "v1"
}
] | 2024-02-28 | [
[
"Lehum",
"A. C.",
""
],
[
"Nascimento",
"J. R.",
""
],
[
"Petrov",
"A. Yu.",
""
],
[
"Porfirio",
"P. J.",
""
]
] | In this paper, we consider the coupling of the metric-affine bumblebee gravity to the Abelian gauge field and obtain the effective model corresponding to the weak gravity limit of this theory. The effective bumblebee theory displays new unconventional couplings between the bumblebee field and its field strength, and the $U(1)$ gauge field along with its respective field strength, as a result of the non-metricity effects. Thus, being a new gauge-bumblebee theory, it represents an example of vector-vector couplings which are very rarely considered, if not entirely overlooked, in the Abelian case. For this theory we calculate the lower perturbative corrections. We close the paper with discussions of other possible vector-vector couplings. |
hep-th/9905162 | Koji Hashimoto | Koji Hashimoto | Born-Infeld Dynamics in Uniform Electric Field | 16 pages, 2 figures ; references added | JHEP 9907:016,1999 | 10.1088/1126-6708/1999/07/016 | null | hep-th | null | We investigate various properties of classical configurations of the
Born-Infeld theory in a uniform electric field. This system is involved with
dynamics of (F,Dp) bound states, which are bound states of fundamental strings
and Dp-branes. The uniform electric field can be treated as a constraint on the
asymptotic behavior of the fields on the brane. BPS configurations in this
theory correspond to fundamental strings attached to the (F,Dp) bound state,
and are found to be stable due to force balance. Fluctuations around these
stable configurations are subject to appropriate Dirichlet and Neumann boundary
conditions which are identical with the ones deduced from the ordinary
worldsheet description of the attached string. Additionally, non-BPS solutions
are studied and related physics are discussed.
| [
{
"created": "Sat, 22 May 1999 03:24:47 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Jun 1999 00:16:22 GMT",
"version": "v2"
}
] | 2011-07-19 | [
[
"Hashimoto",
"Koji",
""
]
] | We investigate various properties of classical configurations of the Born-Infeld theory in a uniform electric field. This system is involved with dynamics of (F,Dp) bound states, which are bound states of fundamental strings and Dp-branes. The uniform electric field can be treated as a constraint on the asymptotic behavior of the fields on the brane. BPS configurations in this theory correspond to fundamental strings attached to the (F,Dp) bound state, and are found to be stable due to force balance. Fluctuations around these stable configurations are subject to appropriate Dirichlet and Neumann boundary conditions which are identical with the ones deduced from the ordinary worldsheet description of the attached string. Additionally, non-BPS solutions are studied and related physics are discussed. |
1912.00909 | Ying Zhao | Ying Zhao | A quantum circuit interpretation of evaporating black hole geometry | v3: explanations added, published version | null | 10.1007/JHEP07(2020)139 | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give a quantum circuit interpretation of evaporating black hole geometry.
We make an analogy between the appearance of island for evaporating black hole
and the transition from two-sided to one-sided black hole in the familiar
example of perturbed thermofield double. If Alice perturbs thermofield double
and waits for scrambling time, she will have a one-sided black hole with
interior of her own. We argue that by similar mechanism the radiation gets
access to the interior (island forms) after Page time. The growth of the island
happens as a result of the constant transitions from two-sided to one-sided
black holes.
| [
{
"created": "Mon, 2 Dec 2019 16:38:31 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Dec 2019 17:09:14 GMT",
"version": "v2"
},
{
"created": "Sun, 9 Aug 2020 15:17:59 GMT",
"version": "v3"
}
] | 2020-08-11 | [
[
"Zhao",
"Ying",
""
]
] | We give a quantum circuit interpretation of evaporating black hole geometry. We make an analogy between the appearance of island for evaporating black hole and the transition from two-sided to one-sided black hole in the familiar example of perturbed thermofield double. If Alice perturbs thermofield double and waits for scrambling time, she will have a one-sided black hole with interior of her own. We argue that by similar mechanism the radiation gets access to the interior (island forms) after Page time. The growth of the island happens as a result of the constant transitions from two-sided to one-sided black holes. |
2408.04626 | Juan Mauricio Valencia Villegas | S. Mironov, A. Shtennikova and M. Valencia-Villegas | Higher derivative SVT theories from Kaluza-Klein reductions of Horndeski
theory | 22 pages | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It was recently pointed out that some precise Photon-Galileon couplings in
four dimensions (4D) -- inspired by a higher dimensional reduction -- are
enough to obtain a Horndeski theory that is less constrained by the stringent
experimental bounds on the speed of Gravitational Waves. They imply the
constancy of the ratio of speed of gravity to light throughout cosmic
evolution. This holds without fine tuning, even if one includes the general
$G_4 (\pi,X)$ and $G_5 (\pi)$ scalar potentials. In this paper we go into the
details of this 4D Luminal extension of Horndeski theory including its scalar
sector. We also present the complete action including the general
$G_5(\pi,X),\, G_6(\pi,X)$ scalar potentials. Thus we show all the $U(1)$ gauge
invariant vector Galileons in 4D that result from a Kaluza-Klein dimensional
reduction from 5D Galileons. They provide a consistent coupling of a higher
derivative vector to scalar modifications of gravity - namely, without inducing
Ostrogradsky ghosts and keeping gauge invariance- in the aim to explore more
universal couplings of dark energy to other matter, such as vectors and in
particular the Photon.
| [
{
"created": "Thu, 8 Aug 2024 17:57:54 GMT",
"version": "v1"
}
] | 2024-08-09 | [
[
"Mironov",
"S.",
""
],
[
"Shtennikova",
"A.",
""
],
[
"Valencia-Villegas",
"M.",
""
]
] | It was recently pointed out that some precise Photon-Galileon couplings in four dimensions (4D) -- inspired by a higher dimensional reduction -- are enough to obtain a Horndeski theory that is less constrained by the stringent experimental bounds on the speed of Gravitational Waves. They imply the constancy of the ratio of speed of gravity to light throughout cosmic evolution. This holds without fine tuning, even if one includes the general $G_4 (\pi,X)$ and $G_5 (\pi)$ scalar potentials. In this paper we go into the details of this 4D Luminal extension of Horndeski theory including its scalar sector. We also present the complete action including the general $G_5(\pi,X),\, G_6(\pi,X)$ scalar potentials. Thus we show all the $U(1)$ gauge invariant vector Galileons in 4D that result from a Kaluza-Klein dimensional reduction from 5D Galileons. They provide a consistent coupling of a higher derivative vector to scalar modifications of gravity - namely, without inducing Ostrogradsky ghosts and keeping gauge invariance- in the aim to explore more universal couplings of dark energy to other matter, such as vectors and in particular the Photon. |
1012.1045 | Antonio Accioly | Antonio Accioly, Patricio Gaete, Jos\'e Helay\"el-Neto, Eslley Scatena
and Rodrigo Turcati | Exploring Lee-Wick finite electrodynamics | null | null | null | null | hep-th | http://creativecommons.org/licenses/by-nc-sa/3.0/ | We consider the Lee-Wick (LW) finite electrodynamics, i.e., the U(1) gauge
theory where a (gauge-invariant) dimension-6 operator containing
higher-derivatives is added to the free Lagrangian of the U(1) sector. Three
bounds on the LW heavy photon mass are then estimated. It is amazing that one
of these bounds, actually the most reliable one, is of the order of the
vectorial bosons masses found in nature. The lowest order modification of the
Coulomb potential due to the presence of the higher-derivative term is obtained
afterward by means of two outstanding methods: one of them is based on the
marriage of quantum mechanics with the nonrelativistic limit of quantum field
theory; the other, pioneered by Dirac, makes use of a gauge-invariant but
path-dependent variables formalism. Interestingly enough, these approaches,
despite being radically different, lead to the same result which seems to
indicate that they are equivalent term by term.
| [
{
"created": "Sun, 5 Dec 2010 22:26:44 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Dec 2010 12:51:45 GMT",
"version": "v2"
}
] | 2015-03-17 | [
[
"Accioly",
"Antonio",
""
],
[
"Gaete",
"Patricio",
""
],
[
"Helayël-Neto",
"José",
""
],
[
"Scatena",
"Eslley",
""
],
[
"Turcati",
"Rodrigo",
""
]
] | We consider the Lee-Wick (LW) finite electrodynamics, i.e., the U(1) gauge theory where a (gauge-invariant) dimension-6 operator containing higher-derivatives is added to the free Lagrangian of the U(1) sector. Three bounds on the LW heavy photon mass are then estimated. It is amazing that one of these bounds, actually the most reliable one, is of the order of the vectorial bosons masses found in nature. The lowest order modification of the Coulomb potential due to the presence of the higher-derivative term is obtained afterward by means of two outstanding methods: one of them is based on the marriage of quantum mechanics with the nonrelativistic limit of quantum field theory; the other, pioneered by Dirac, makes use of a gauge-invariant but path-dependent variables formalism. Interestingly enough, these approaches, despite being radically different, lead to the same result which seems to indicate that they are equivalent term by term. |
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