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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/0302174 | Maria A. Lledo | L. Andrianopoli, R. D'Auria, S. Ferrara, M. A. Lledo | 4-D gauged supergravity analysis of Type IIB vacua on $K3\times T^2/Z_2$ | AMS-LaTeX, 29 pages | JHEP 0303:044,2003 | 10.1088/1126-6708/2003/03/044 | CERN-TH/2003-037 | hep-th | null | We analyze $N=2,1,0$ vacua of type IIB string theory on $K3\times T^2/Z_2$ in
presence of three-form fluxes from a four dimensional supergravity viewpoint.
The quaternionic geometry of the $K3$ moduli space together with the special
geometry of the NS and R-R dilatons and of the $T^2$-complex structure moduli
play a crucial role in the analysis. The introduction of fluxes corresponds to
a particular gauging of N=2, D=4 supergravity. Our results agree with a recent
work of Tripathy and Trivedi. The present formulation shows the power of
supergravity in the study of effective theories with broken supersymmetry.
| [
{
"created": "Fri, 21 Feb 2003 17:59:00 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Andrianopoli",
"L.",
""
],
[
"D'Auria",
"R.",
""
],
[
"Ferrara",
"S.",
""
],
[
"Lledo",
"M. A.",
""
]
] | We analyze $N=2,1,0$ vacua of type IIB string theory on $K3\times T^2/Z_2$ in presence of three-form fluxes from a four dimensional supergravity viewpoint. The quaternionic geometry of the $K3$ moduli space together with the special geometry of the NS and R-R dilatons and of the $T^2$-complex structure moduli play a crucial role in the analysis. The introduction of fluxes corresponds to a particular gauging of N=2, D=4 supergravity. Our results agree with a recent work of Tripathy and Trivedi. The present formulation shows the power of supergravity in the study of effective theories with broken supersymmetry. |
hep-th/0505026 | Adil Belhaj Rogani | Raja Abounasr, Adil Belhaj, Jorgen Rasmussen, El Hassan Saidi | Superstring Theory on pp Waves with ADE Geometries | 62 pages | J.Phys. A39 (2006) 2797-2841 | 10.1088/0305-4470/39/11/015 | null | hep-th | null | We study the BMN correspondence between certain Penrose limits of type IIB
superstrings on pp-wave orbifolds with $ADE$ geometries, and the set of
four-dimensional $\mathcal{N}=2$ superconformal field theories constructed as
quiver gauge models classified by finite $ADE$ Lie algebras and affine
$\hat{ADE}$ Kac-Moody algebras. These models have 16 preserved supercharges and
are based on systems of D3-branes and wrapped D5- and D7-branes. We derive
explicitly the metrics of these pp-wave orbifolds and show that the BMN
extension requires, in addition to D5-D5 open strings in bi-fundamental
representations, D5-D7 open strings involving orientifolds with $Sp(N)$ gauge
symmetry. We also give the correspondence rule between leading string states
and gauge-invariant operators in the $\mathcal{N}=2$ quiver gauge models.
| [
{
"created": "Tue, 3 May 2005 17:23:58 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Abounasr",
"Raja",
""
],
[
"Belhaj",
"Adil",
""
],
[
"Rasmussen",
"Jorgen",
""
],
[
"Saidi",
"El Hassan",
""
]
] | We study the BMN correspondence between certain Penrose limits of type IIB superstrings on pp-wave orbifolds with $ADE$ geometries, and the set of four-dimensional $\mathcal{N}=2$ superconformal field theories constructed as quiver gauge models classified by finite $ADE$ Lie algebras and affine $\hat{ADE}$ Kac-Moody algebras. These models have 16 preserved supercharges and are based on systems of D3-branes and wrapped D5- and D7-branes. We derive explicitly the metrics of these pp-wave orbifolds and show that the BMN extension requires, in addition to D5-D5 open strings in bi-fundamental representations, D5-D7 open strings involving orientifolds with $Sp(N)$ gauge symmetry. We also give the correspondence rule between leading string states and gauge-invariant operators in the $\mathcal{N}=2$ quiver gauge models. |
hep-th/9910154 | Marcelo De Francia | C. G. Beneventano, M. De Francia, K. Kirsten and E. M. Santangelo | Casimir energy of massive MIT fermions in a Bohm-Aharonov background | 16 pages, 3 figures | Phys.Rev. D61 (2000) 085019 | 10.1103/PhysRevD.61.085019 | null | hep-th | null | We study the effect of a background flux string on the vacuum energy of
massive Dirac fermions in 2+1 dimensions confined to a finite spatial region
through MIT boundary conditions. We treat two admissible self-adjoint
extensions of the Hamiltonian and compare the results. In particular, for one
of these extensions, the Casimir energy turns out to be discontinuous at
integer values of the flux.
| [
{
"created": "Tue, 19 Oct 1999 13:28:42 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Beneventano",
"C. G.",
""
],
[
"De Francia",
"M.",
""
],
[
"Kirsten",
"K.",
""
],
[
"Santangelo",
"E. M.",
""
]
] | We study the effect of a background flux string on the vacuum energy of massive Dirac fermions in 2+1 dimensions confined to a finite spatial region through MIT boundary conditions. We treat two admissible self-adjoint extensions of the Hamiltonian and compare the results. In particular, for one of these extensions, the Casimir energy turns out to be discontinuous at integer values of the flux. |
hep-th/0510027 | Pierre Vanhove | Michael B. Green (DAMTP, Cambridge Univ) and Pierre Vanhove (Saclay) | Duality and higher derivative terms in M theory | harvmac. 41 pages. 3 figures. v2 typos corrected and reference list
updated. v3. Significant new subsection deriving the non-zero coefficient of
the IIB string theory three-loop contribution | JHEP0601:093,2006 | 10.1088/1126-6708/2006/01/093 | null | hep-th | null | Dualities of M-theory are used to determine the exact dependence on the
coupling constant of the D^6R^4 interaction of the IIA and IIB superstring
effective action. Upon lifting to eleven dimensions this determines the
coefficient of the D^6R^4 interaction in eleven-dimensional M-theory. These
results are obtained by considering the four-graviton two-loop scattering
amplitude in eleven-dimensional supergravity compactified on a circle and on a
two-torus -- extending earlier results concerning lower-derivative
interactions. The torus compactification leads to an interesting
SL(2,Z)-invariant function of the complex structure of the torus (the IIB
string coupling) that satisfies a Laplace equation with a source term on the
fundamental domain of moduli space. The structure of this equation is in accord
with general supersymmetry considerations and immediately determines tree-level
and one-loop contributions to D^6R^4 in perturbative IIB string theory that
agree with explicit string calculations, and two-loop and three-loop
contributions that have yet to be obtained in string theory. The complete
solution of the Laplace equation contains infinite series' of single
D-instanton and double D-instanton contributions, in addition to the
perturbative terms. General considerations of the higher loop diagrams of
eleven-dimensional supergravity suggest extensions of these results to
interactions of higher order in the low energy expansion.
| [
{
"created": "Tue, 4 Oct 2005 15:54:09 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Oct 2005 18:05:01 GMT",
"version": "v2"
},
{
"created": "Mon, 17 Oct 2005 21:00:15 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"Green",
"Michael B.",
"",
"DAMTP, Cambridge Univ"
],
[
"Vanhove",
"Pierre",
"",
"Saclay"
]
] | Dualities of M-theory are used to determine the exact dependence on the coupling constant of the D^6R^4 interaction of the IIA and IIB superstring effective action. Upon lifting to eleven dimensions this determines the coefficient of the D^6R^4 interaction in eleven-dimensional M-theory. These results are obtained by considering the four-graviton two-loop scattering amplitude in eleven-dimensional supergravity compactified on a circle and on a two-torus -- extending earlier results concerning lower-derivative interactions. The torus compactification leads to an interesting SL(2,Z)-invariant function of the complex structure of the torus (the IIB string coupling) that satisfies a Laplace equation with a source term on the fundamental domain of moduli space. The structure of this equation is in accord with general supersymmetry considerations and immediately determines tree-level and one-loop contributions to D^6R^4 in perturbative IIB string theory that agree with explicit string calculations, and two-loop and three-loop contributions that have yet to be obtained in string theory. The complete solution of the Laplace equation contains infinite series' of single D-instanton and double D-instanton contributions, in addition to the perturbative terms. General considerations of the higher loop diagrams of eleven-dimensional supergravity suggest extensions of these results to interactions of higher order in the low energy expansion. |
2108.13423 | Eric R. Sharpe | E. Sharpe | Topological operators, noninvertible symmetries and decomposition | 77 pages, LaTeX; v2: reference added; v3: typos fixed and material on
bulk Wilson lines added | Adv. Theor. Math. Phys. 27 (2023) 2319-2407 | 10.4310/ATMP.2023.v27.n8.a2 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we discuss the relationship between noninvertible topological
operators, one-form symmetries, and decomposition of two-dimensional quantum
field theories, focusing on two-dimensional orbifolds with and without discrete
torsion. As one component of our analysis, we study the ring of dimension-zero
operators in two-dimensional theories exhibiting decomposition. From a
commutative algebra perspective, the rings are naturally associated to a finite
number of points, one point for each universe in the decomposition. Each
universe is canonically associated to a representation, which defines a
projector, an idempotent in the ring of dimension-zero operators. We discuss
how bulk Wilson lines act as defects bridging universes, and how Wilson lines
on boundaries of two-dimensional theories decompose, and compute actions of
projectors. We discuss one-form symmetries of the rings, and related
properties. We also give general formulas for projection operators, which
previously were computed on a case-by-case basis. Finally, we propose a
characterization of noninvertible higher-form symmetries in this context in
terms of representations. In that characterization, non-isomorphic universes
appearing in decomposition are associated with noninvertible one-form
symmetries.
| [
{
"created": "Mon, 30 Aug 2021 18:00:00 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Sep 2021 15:35:22 GMT",
"version": "v2"
},
{
"created": "Mon, 25 Sep 2023 12:00:28 GMT",
"version": "v3"
}
] | 2024-08-16 | [
[
"Sharpe",
"E.",
""
]
] | In this paper we discuss the relationship between noninvertible topological operators, one-form symmetries, and decomposition of two-dimensional quantum field theories, focusing on two-dimensional orbifolds with and without discrete torsion. As one component of our analysis, we study the ring of dimension-zero operators in two-dimensional theories exhibiting decomposition. From a commutative algebra perspective, the rings are naturally associated to a finite number of points, one point for each universe in the decomposition. Each universe is canonically associated to a representation, which defines a projector, an idempotent in the ring of dimension-zero operators. We discuss how bulk Wilson lines act as defects bridging universes, and how Wilson lines on boundaries of two-dimensional theories decompose, and compute actions of projectors. We discuss one-form symmetries of the rings, and related properties. We also give general formulas for projection operators, which previously were computed on a case-by-case basis. Finally, we propose a characterization of noninvertible higher-form symmetries in this context in terms of representations. In that characterization, non-isomorphic universes appearing in decomposition are associated with noninvertible one-form symmetries. |
1505.00963 | Slava Rychkov | Slava Rychkov and Zhong Ming Tan | The Epsilon-Expansion from Conformal Field Theory | 24 pages; v2 - references added, minor changes; v3 - refs and
comments added, misprints corrected, version to appear in J.Phys.A | null | null | CERN PH-TH/2015-104 | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Conformal multiplets of $\phi$ and $\phi^3$ recombine at the Wilson-Fisher
fixed point, as a consequence of the equations of motion. Using this fact and
other constraints from conformal symmetry, we reproduce the lowest nontrivial
order results for the anomalous dimensions of operators, without any input from
perturbation theory.
| [
{
"created": "Tue, 5 May 2015 11:34:29 GMT",
"version": "v1"
},
{
"created": "Mon, 11 May 2015 12:21:10 GMT",
"version": "v2"
},
{
"created": "Wed, 24 Jun 2015 14:17:22 GMT",
"version": "v3"
}
] | 2015-06-25 | [
[
"Rychkov",
"Slava",
""
],
[
"Tan",
"Zhong Ming",
""
]
] | Conformal multiplets of $\phi$ and $\phi^3$ recombine at the Wilson-Fisher fixed point, as a consequence of the equations of motion. Using this fact and other constraints from conformal symmetry, we reproduce the lowest nontrivial order results for the anomalous dimensions of operators, without any input from perturbation theory. |
1910.14051 | Daniel Baumann | Daniel Baumann, Carlos Duaso Pueyo, Austin Joyce, Hayden Lee, and
Guilherme L. Pimentel | The Cosmological Bootstrap: Weight-Shifting Operators and Scalar Seeds | 53 pages, 5 figures; V2: minor corrections and references added | null | 10.1007/JHEP12(2020)204 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A key insight of the bootstrap approach to cosmological correlations is the
fact that all correlators of slow-roll inflation can be reduced to a unique
building block---the four-point function of conformally coupled scalars,
arising from the exchange of a massive scalar. Correlators corresponding to the
exchange of particles with spin are then obtained by applying a spin-raising
operator to the scalar-exchange solution. Similarly, the correlators of
massless external fields can be derived by acting with a suitable
weight-raising operator. In this paper, we present a systematic and highly
streamlined derivation of these operators (and their generalizations) using
tools of conformal field theory. Our results greatly simplify the theoretical
foundations of the cosmological bootstrap program.
| [
{
"created": "Wed, 30 Oct 2019 18:00:04 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Aug 2020 07:06:33 GMT",
"version": "v2"
}
] | 2021-02-03 | [
[
"Baumann",
"Daniel",
""
],
[
"Pueyo",
"Carlos Duaso",
""
],
[
"Joyce",
"Austin",
""
],
[
"Lee",
"Hayden",
""
],
[
"Pimentel",
"Guilherme L.",
""
]
] | A key insight of the bootstrap approach to cosmological correlations is the fact that all correlators of slow-roll inflation can be reduced to a unique building block---the four-point function of conformally coupled scalars, arising from the exchange of a massive scalar. Correlators corresponding to the exchange of particles with spin are then obtained by applying a spin-raising operator to the scalar-exchange solution. Similarly, the correlators of massless external fields can be derived by acting with a suitable weight-raising operator. In this paper, we present a systematic and highly streamlined derivation of these operators (and their generalizations) using tools of conformal field theory. Our results greatly simplify the theoretical foundations of the cosmological bootstrap program. |
hep-th/0108150 | Hiroyuki Hata | Hiroyuki Hata (Kyoto U.) and Teruhiko Kawano (Tokyo U.) | Open String States around a Classical Solution in Vacuum String Field
Theory | 30 pages, no figures, LaTeX2e, v4: version appeared in JHEP | JHEP 0111:038,2001 | 10.1088/1126-6708/2001/11/038 | KUNS-1732, UT-963 | hep-th | null | We construct a classical solution of vacuum string field theory (VSFT) and
study whether it represents the perturbative open string vacuum. Our solution
is given as a squeezed state in the Siegel gauge, and it fixes the arbitrary
coefficients in the BRST operator in VSFT. We identify the tachyon and massless
vector states as fluctuation modes around the classical solution. The tachyon
mass squared \alpha m_t^2 is given in a closed form using the Neumann
coefficients defining the three-string vertex, and it reproduces numerically
the expected value of -1 to high precision. The ratio of the potential height
of the solution to the D25-brane tension is also given in terms of the Neumann
coefficients. However, the behavior of the potential height in level truncation
does not match our expectation, though there are subtle points in the analysis.
| [
{
"created": "Tue, 21 Aug 2001 11:13:33 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Aug 2001 01:12:07 GMT",
"version": "v2"
},
{
"created": "Fri, 19 Oct 2001 01:14:41 GMT",
"version": "v3"
},
{
"created": "Thu, 27 Dec 2001 01:05:43 GMT",
"version": "v4"
}
] | 2010-02-03 | [
[
"Hata",
"Hiroyuki",
"",
"Kyoto U."
],
[
"Kawano",
"Teruhiko",
"",
"Tokyo U."
]
] | We construct a classical solution of vacuum string field theory (VSFT) and study whether it represents the perturbative open string vacuum. Our solution is given as a squeezed state in the Siegel gauge, and it fixes the arbitrary coefficients in the BRST operator in VSFT. We identify the tachyon and massless vector states as fluctuation modes around the classical solution. The tachyon mass squared \alpha m_t^2 is given in a closed form using the Neumann coefficients defining the three-string vertex, and it reproduces numerically the expected value of -1 to high precision. The ratio of the potential height of the solution to the D25-brane tension is also given in terms of the Neumann coefficients. However, the behavior of the potential height in level truncation does not match our expectation, though there are subtle points in the analysis. |
2009.11421 | Ai Viet Nguyen Dr | Nguyen Ai Viet, Pham Tien Du | Massive photon and fermion mixing as manifestations of an extra discrete
dimension in bilayer systems | 10 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Discrete dimension is introduced via an extended Dirac operator to include
the interlayer interactions in a geometric framework of generic
$d+1$-dimensional bilayer systems. The photon and its Kaluza-Klein partners in
this extended space-time will involve a pair of vector fields together with a
scalar field, which describes a pair of local jumping between the layers. The
quartic potential of the scalar field triggers an abelian Higgs mechanism,
which gives a mass to one vector field, which describes a short-range
interaction. The discrete derivative along the extra dimension generates a
non-diagonal mass matrix, whose eigenstates mix the fermions on two layers with
a mixing angle. The couplings of the Kaluza-Klein siblings of photon including
massless, massive, and scalar ones with the mass eigenstates of fermions will
also depend on the mixing angle. Thus interlayer interactions in bilayer
systems are manifested elegantly by these new features via the extra discrete
dimension. In specific cases, the short-range force, weak and strong coupling
regimes of the fermions with different masses can lead to new physical
consequences to be discovered in different realistic $2+1$ and
$3+1$-dimensional bilayer systems.
| [
{
"created": "Thu, 24 Sep 2020 00:10:56 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Nov 2021 08:15:57 GMT",
"version": "v2"
}
] | 2021-11-09 | [
[
"Viet",
"Nguyen Ai",
""
],
[
"Du",
"Pham Tien",
""
]
] | Discrete dimension is introduced via an extended Dirac operator to include the interlayer interactions in a geometric framework of generic $d+1$-dimensional bilayer systems. The photon and its Kaluza-Klein partners in this extended space-time will involve a pair of vector fields together with a scalar field, which describes a pair of local jumping between the layers. The quartic potential of the scalar field triggers an abelian Higgs mechanism, which gives a mass to one vector field, which describes a short-range interaction. The discrete derivative along the extra dimension generates a non-diagonal mass matrix, whose eigenstates mix the fermions on two layers with a mixing angle. The couplings of the Kaluza-Klein siblings of photon including massless, massive, and scalar ones with the mass eigenstates of fermions will also depend on the mixing angle. Thus interlayer interactions in bilayer systems are manifested elegantly by these new features via the extra discrete dimension. In specific cases, the short-range force, weak and strong coupling regimes of the fermions with different masses can lead to new physical consequences to be discovered in different realistic $2+1$ and $3+1$-dimensional bilayer systems. |
hep-th/0407096 | Ian J. Swanson | Curtis G. Callan, Jr., Jonathan Heckman, Tristan McLoughlin, Ian
Swanson | Lattice Super Yang-Mills: A Virial Approach to Operator Dimensions | LaTeX, 1 figure, 28 pages; v2: typo corrected | Nucl.Phys.B701:180-206,2004 | 10.1016/j.nuclphysb.2004.09.010 | CALT-68-2511, PUPT-2125 | hep-th | null | The task of calculating operator dimensions in the planar limit of N=4 super
Yang-Mills theory can be vastly simplified by mapping the dilatation generator
to the Hamiltonian of an integrable spin chain. The Bethe ansatz has been used
in this context to compute the spectra of spin chains associated with various
sectors of the theory which are known to decouple in the planar (large-N_c)
limit. These techniques are powerful at leading order in perturbation theory
but become increasingly complicated beyond one loop in the 't Hooft parameter
lambda=g_YM^2 N_c, where spin chains typically acquire long-range
(non-nearest-neighbor) interactions. In certain sectors of the theory,
moreover, higher-loop Bethe ansaetze do not even exist. We develop a virial
expansion of the spin chain Hamiltonian as an alternative to the Bethe ansatz
methodology, a method which simplifies the computation of dimensions of
multi-impurity operators at higher loops in lambda. We use these methods to
extract previously reported numerical gauge theory predictions near the BMN
limit for comparison with corresponding results on the string theory side of
the AdS/CFT correspondence. For completeness, we compare our virial results
with predictions that can be derived from current Bethe ansatz technology.
| [
{
"created": "Tue, 13 Jul 2004 00:06:37 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Aug 2004 16:17:11 GMT",
"version": "v2"
}
] | 2012-08-27 | [
[
"Callan,",
"Curtis G.",
"Jr."
],
[
"Heckman",
"Jonathan",
""
],
[
"McLoughlin",
"Tristan",
""
],
[
"Swanson",
"Ian",
""
]
] | The task of calculating operator dimensions in the planar limit of N=4 super Yang-Mills theory can be vastly simplified by mapping the dilatation generator to the Hamiltonian of an integrable spin chain. The Bethe ansatz has been used in this context to compute the spectra of spin chains associated with various sectors of the theory which are known to decouple in the planar (large-N_c) limit. These techniques are powerful at leading order in perturbation theory but become increasingly complicated beyond one loop in the 't Hooft parameter lambda=g_YM^2 N_c, where spin chains typically acquire long-range (non-nearest-neighbor) interactions. In certain sectors of the theory, moreover, higher-loop Bethe ansaetze do not even exist. We develop a virial expansion of the spin chain Hamiltonian as an alternative to the Bethe ansatz methodology, a method which simplifies the computation of dimensions of multi-impurity operators at higher loops in lambda. We use these methods to extract previously reported numerical gauge theory predictions near the BMN limit for comparison with corresponding results on the string theory side of the AdS/CFT correspondence. For completeness, we compare our virial results with predictions that can be derived from current Bethe ansatz technology. |
1101.0367 | Robert Oeckl | Robert Oeckl (UNAM) | Observables in the General Boundary Formulation | 20 pages, LaTeX + AMS + birkjour (included), contribution to the
proceedings of the conference "Quantum Field Theory and Gravity" (Regensburg,
2010); v2: minor corrections | Quantum Field Theory and Gravity (Regensburg, 2010), 2012, pp.
137-156 | 10.1007/978-3-0348-0043-3_8 | UNAM-IM-MOR-2010-4 | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop a notion of quantum observable for the general boundary
formulation of quantum theory. This notion is adapted to spacetime regions
rather than to hypersurfaces and naturally fits into the topological quantum
field theory like axiomatic structure of the general boundary formulation. We
also provide a proposal for a generalized concept of expectation value adapted
to this type of observable. We show how the standard notion of quantum
observable arises as a special case together with the usual expectation values.
We proceed to introduce various quantization schemes to obtain such quantum
observables including path integral quantization (yielding the time-ordered
product), Berezin-Toeplitz (antinormal ordered) quantization and normal ordered
quantization, and discuss some of their properties.
| [
{
"created": "Sat, 1 Jan 2011 20:05:19 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Sep 2012 00:21:38 GMT",
"version": "v2"
}
] | 2012-09-06 | [
[
"Oeckl",
"Robert",
"",
"UNAM"
]
] | We develop a notion of quantum observable for the general boundary formulation of quantum theory. This notion is adapted to spacetime regions rather than to hypersurfaces and naturally fits into the topological quantum field theory like axiomatic structure of the general boundary formulation. We also provide a proposal for a generalized concept of expectation value adapted to this type of observable. We show how the standard notion of quantum observable arises as a special case together with the usual expectation values. We proceed to introduce various quantization schemes to obtain such quantum observables including path integral quantization (yielding the time-ordered product), Berezin-Toeplitz (antinormal ordered) quantization and normal ordered quantization, and discuss some of their properties. |
1512.07620 | Till Bargheer | Till Bargheer, Georgios Papathanasiou, Volker Schomerus | The Two-Loop Symbol of all Multi-Regge Regions | 20 pages, v2: include details on functions f and g, make appendix
consistent with main text, typesetting (published version) | J. High Energ. Phys. (2016) 2016: 12 | 10.1007/JHEP05(2016)012 | DESY 15-257 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the symbol of the two-loop n-gluon MHV amplitude for all Mandelstam
regions in multi-Regge kinematics in N=4 super Yang-Mills theory. While the
number of distinct Mandelstam regions grows exponentially with n, the increase
of independent symbols turns out to be merely quadratic. We uncover how to
construct the symbols for any number of external gluons from just two building
blocks which are naturally associated with the six- and seven-gluon amplitude,
respectively. The second building block is entirely new, and in addition to its
symbol, we also construct a prototype function that correctly reproduces all
terms of maximal functional transcendentality.
| [
{
"created": "Wed, 23 Dec 2015 20:38:10 GMT",
"version": "v1"
},
{
"created": "Wed, 18 May 2016 14:41:02 GMT",
"version": "v2"
}
] | 2018-01-18 | [
[
"Bargheer",
"Till",
""
],
[
"Papathanasiou",
"Georgios",
""
],
[
"Schomerus",
"Volker",
""
]
] | We study the symbol of the two-loop n-gluon MHV amplitude for all Mandelstam regions in multi-Regge kinematics in N=4 super Yang-Mills theory. While the number of distinct Mandelstam regions grows exponentially with n, the increase of independent symbols turns out to be merely quadratic. We uncover how to construct the symbols for any number of external gluons from just two building blocks which are naturally associated with the six- and seven-gluon amplitude, respectively. The second building block is entirely new, and in addition to its symbol, we also construct a prototype function that correctly reproduces all terms of maximal functional transcendentality. |
2407.20862 | Paul S. Aspinwall | Paul S. Aspinwall | String Moduli Spaces and Parabolic Factorizations | 35 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The symmetric spaces that appear as moduli spaces in string theory and
supergravity can be decomposed with explicit metrics using parabolic subgroups.
The resulting isometry between the original moduli space and this decomposition
can be used to find parametrizations of the moduli. One application is to
determine the volume parameter in conformal field moduli spaces for K3
surfaces. Other applications involve simple Dynkin diagram manipulations
inducing "going up and down" between symmetric spaces by adding parameters and
going to limits respectively. For supersymmetries such as N=6, this involves
combinatorics of less familiar "restricted" Dynkin diagrams.
| [
{
"created": "Tue, 30 Jul 2024 14:36:18 GMT",
"version": "v1"
}
] | 2024-07-31 | [
[
"Aspinwall",
"Paul S.",
""
]
] | The symmetric spaces that appear as moduli spaces in string theory and supergravity can be decomposed with explicit metrics using parabolic subgroups. The resulting isometry between the original moduli space and this decomposition can be used to find parametrizations of the moduli. One application is to determine the volume parameter in conformal field moduli spaces for K3 surfaces. Other applications involve simple Dynkin diagram manipulations inducing "going up and down" between symmetric spaces by adding parameters and going to limits respectively. For supersymmetries such as N=6, this involves combinatorics of less familiar "restricted" Dynkin diagrams. |
hep-th/0512235 | Bin Zhou | Bin Zhou, Han-Ying Guo | Conformal Triality of de Sitter, Minkowski and Anti-de Sitter Spaces | Talk on the XXIII International Conference of Differential Geometric
Methods in Theoretical Physics, Chern Institute of Mathematics (former Nankai
Institute of Mathematics), August 20--26, 2005. To appear in the proceedings,
published by World Scientific. Plain LaTeX, 10 pages, no figures | null | null | null | hep-th gr-qc math-ph math.MP | null | We describe how conformal Minkowski, dS- and AdS-spaces can be united into a
single submanifold [N] of RP^5. It is the set of generators of the null cone in
M^{2,4}. Conformal transformations on the Mink-, dS- and AdS-spaces are induced
by O(2,4) linear transformations on M^{2,4}. We also describe how Weyl
transformations and conformal transformations can be resulted in on [N]. In
such a picture we give a description of how the conformal Mink-, dS- and
AdS-spaces as well as [N] are mapped from one to another by conformal maps.
This implies that a CFT in one space can be translated into a CFT in another.
As a consequence, the AdS/CFT-correspondence should be extended.
| [
{
"created": "Mon, 19 Dec 2005 15:49:39 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Zhou",
"Bin",
""
],
[
"Guo",
"Han-Ying",
""
]
] | We describe how conformal Minkowski, dS- and AdS-spaces can be united into a single submanifold [N] of RP^5. It is the set of generators of the null cone in M^{2,4}. Conformal transformations on the Mink-, dS- and AdS-spaces are induced by O(2,4) linear transformations on M^{2,4}. We also describe how Weyl transformations and conformal transformations can be resulted in on [N]. In such a picture we give a description of how the conformal Mink-, dS- and AdS-spaces as well as [N] are mapped from one to another by conformal maps. This implies that a CFT in one space can be translated into a CFT in another. As a consequence, the AdS/CFT-correspondence should be extended. |
hep-th/0601054 | Yuji Tachikawa | Sergio Benvenuti, Leopoldo A. Pando Zayas and Yuji Tachikawa | Triangle Anomalies from Einstein Manifolds | 30 pages, 5 figures; published version | Adv.Theor.Math.Phys.10:395-432,2006 | null | MCTP-05-104, MIT-CTP-3740, NSF-KITP-05-117, UT-05-21 | hep-th | null | The triangle anomalies in conformal field theory, which can be used to
determine the central charge a, correspond to the Chern-Simons couplings of
gauge fields in AdS under the gauge/gravity correspondence. We present a simple
geometrical formula for the Chern-Simons couplings in the case of type IIB
supergravity compactified on a five-dimensional Einstein manifold X. When X is
a circle bundle over del Pezzo surfaces or a toric Sasaki-Einstein manifold, we
show that the gravity result is in perfect agreement with the corresponding
quiver gauge theory. Our analysis reveals an interesting connection with the
condensation of giant gravitons or dibaryon operators which effectively induces
a rolling among Sasaki-Einstein vacua.
| [
{
"created": "Tue, 10 Jan 2006 17:56:24 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Jul 2006 05:24:49 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Benvenuti",
"Sergio",
""
],
[
"Zayas",
"Leopoldo A. Pando",
""
],
[
"Tachikawa",
"Yuji",
""
]
] | The triangle anomalies in conformal field theory, which can be used to determine the central charge a, correspond to the Chern-Simons couplings of gauge fields in AdS under the gauge/gravity correspondence. We present a simple geometrical formula for the Chern-Simons couplings in the case of type IIB supergravity compactified on a five-dimensional Einstein manifold X. When X is a circle bundle over del Pezzo surfaces or a toric Sasaki-Einstein manifold, we show that the gravity result is in perfect agreement with the corresponding quiver gauge theory. Our analysis reveals an interesting connection with the condensation of giant gravitons or dibaryon operators which effectively induces a rolling among Sasaki-Einstein vacua. |
1009.4257 | Efrain Rojas Marcial | Efrain Rojas | Higher order curvature terms in Born-Infeld type brane theories | 16 pages, no figures | Int.J.Mod.Phys.D20:59-75,2011 | 10.1142/S0218271811018615 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The field equations associated to Born-Infeld type brane theories are studied
by using an auxiliary variables method. This approach hinges on the fact that
the expressions defining the physical and geometrical quantities describing the
worldvolume are varied independently. The general structure of the Born-Infeld
type theories for branes contains the square root of a determinant of a
combined matrix between the induced metric on the worldvolume swept out by the
brane and a symmetric/antisymmetric tensor depending of gauge, matter or
extrinsic curvature terms taking place on the worldvolume. The higher order
curvature terms appearing in the determinant form come to play as competition
with other effective brane models. Additionally, we suggest a
Born-Infeld-Einstein type action for branes where the higher order curvature
content is provided by the worldvolume Ricci tensor. This action provide an
alternative description of the dynamics of braneworld scenarios.
| [
{
"created": "Wed, 22 Sep 2010 03:42:16 GMT",
"version": "v1"
}
] | 2011-02-09 | [
[
"Rojas",
"Efrain",
""
]
] | The field equations associated to Born-Infeld type brane theories are studied by using an auxiliary variables method. This approach hinges on the fact that the expressions defining the physical and geometrical quantities describing the worldvolume are varied independently. The general structure of the Born-Infeld type theories for branes contains the square root of a determinant of a combined matrix between the induced metric on the worldvolume swept out by the brane and a symmetric/antisymmetric tensor depending of gauge, matter or extrinsic curvature terms taking place on the worldvolume. The higher order curvature terms appearing in the determinant form come to play as competition with other effective brane models. Additionally, we suggest a Born-Infeld-Einstein type action for branes where the higher order curvature content is provided by the worldvolume Ricci tensor. This action provide an alternative description of the dynamics of braneworld scenarios. |
hep-th/0702033 | Andrew K. Waldron | K. Hallowell and A. Waldron | Supersymmetric Quantum Mechanics and Super-Lichnerowicz Algebras | 39 pages, LaTeX, fixed typos, added refs, final version to appear in
CMP | Commun.Math.Phys.278:775-801,2008 | 10.1007/s00220-007-0393-1 | null | hep-th gr-qc math.DG | null | We present supersymmetric, curved space, quantum mechanical models based on
deformations of a parabolic subalgebra of osp(2p+2|Q). The dynamics are
governed by a spinning particle action whose internal coordinates are Lorentz
vectors labeled by the fundamental representation of osp(2p|Q). The states of
the theory are tensors or spinor-tensors on the curved background while
conserved charges correspond to the various differential geometry operators
acting on these. The Hamiltonian generalizes Lichnerowicz's wave/Laplace
operator. It is central, and the models are supersymmetric whenever the
background is a symmetric space, although there is an osp(2p|Q) superalgebra
for any curved background. The lowest purely bosonic example (2p,Q)=(2,0)
corresponds to a deformed Jacobi group and describes Lichnerowicz's original
algebra of constant curvature, differential geometric operators acting on
symmetric tensors. The case (2p,Q)=(0,1) is simply the {\cal N}=1 superparticle
whose supercharge amounts to the Dirac operator acting on spinors. The
(2p,Q)=(0,2) model is the {\cal N}=2 supersymmetric quantum mechanics
corresponding to differential forms. (This latter pair of models are
supersymmetric on any Riemannian background.) When Q is odd, the models apply
to spinor-tensors. The (2p,Q)=(2,1) model is distinguished by admitting a
central Lichnerowicz-Dirac operator when the background is constant curvature.
The new supersymmetric models are novel in that the Hamiltonian is not just a
square of super charges, but rather a sum of commutators of supercharges and
commutators of bosonic charges. These models and superalgebras are a very
useful tool for any study involving high rank tensors and spinors on manifolds.
| [
{
"created": "Mon, 5 Feb 2007 17:11:05 GMT",
"version": "v1"
},
{
"created": "Wed, 16 May 2007 18:47:38 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Hallowell",
"K.",
""
],
[
"Waldron",
"A.",
""
]
] | We present supersymmetric, curved space, quantum mechanical models based on deformations of a parabolic subalgebra of osp(2p+2|Q). The dynamics are governed by a spinning particle action whose internal coordinates are Lorentz vectors labeled by the fundamental representation of osp(2p|Q). The states of the theory are tensors or spinor-tensors on the curved background while conserved charges correspond to the various differential geometry operators acting on these. The Hamiltonian generalizes Lichnerowicz's wave/Laplace operator. It is central, and the models are supersymmetric whenever the background is a symmetric space, although there is an osp(2p|Q) superalgebra for any curved background. The lowest purely bosonic example (2p,Q)=(2,0) corresponds to a deformed Jacobi group and describes Lichnerowicz's original algebra of constant curvature, differential geometric operators acting on symmetric tensors. The case (2p,Q)=(0,1) is simply the {\cal N}=1 superparticle whose supercharge amounts to the Dirac operator acting on spinors. The (2p,Q)=(0,2) model is the {\cal N}=2 supersymmetric quantum mechanics corresponding to differential forms. (This latter pair of models are supersymmetric on any Riemannian background.) When Q is odd, the models apply to spinor-tensors. The (2p,Q)=(2,1) model is distinguished by admitting a central Lichnerowicz-Dirac operator when the background is constant curvature. The new supersymmetric models are novel in that the Hamiltonian is not just a square of super charges, but rather a sum of commutators of supercharges and commutators of bosonic charges. These models and superalgebras are a very useful tool for any study involving high rank tensors and spinors on manifolds. |
hep-th/0306291 | Ishwaree P. Neupane | Chiang-Mei Chen, Pei-Ming Ho, Ishwaree P. Neupane, Nobuyoshi Ohta, and
John E. Wang | Hyperbolic Space Cosmologies | 33 pages, 2 figures; v2 refs added; v3 minor change in text, JHEP
version | JHEP 0310:058,2003 | 10.1088/1126-6708/2003/10/058 | OU-HET 449 | hep-th astro-ph cond-mat | null | We present a systematic study of accelerating cosmologies obtained from
M/string theory compactifications of hyperbolic spaces with time-varying
volume. A set of vacuum solutions where the internal space is a product of
hyperbolic manifolds is found to give qualitatively the same accelerating
four-dimensional FLRW universe behavior as a single hyperbolic space. We also
examine the possibility that our universe is a hyperbolic space and provide
exact Milne type solutions, as well as intersecting S-brane solutions. When
both the usual 4D spacetime and the m-dimensional internal space are
hyperbolic, we find eternally accelerating cosmologies for $m\geq 7$, with and
without form field backgrounds. In particular, the effective potential for a
magnetic field background in the large 3 dimensions is positive definite with a
local minimum and thus enhances the eternally accelerating expansion.
| [
{
"created": "Mon, 30 Jun 2003 12:36:01 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Jul 2003 09:30:36 GMT",
"version": "v2"
},
{
"created": "Sun, 9 Nov 2003 18:01:19 GMT",
"version": "v3"
}
] | 2011-05-05 | [
[
"Chen",
"Chiang-Mei",
""
],
[
"Ho",
"Pei-Ming",
""
],
[
"Neupane",
"Ishwaree P.",
""
],
[
"Ohta",
"Nobuyoshi",
""
],
[
"Wang",
"John E.",
""
]
] | We present a systematic study of accelerating cosmologies obtained from M/string theory compactifications of hyperbolic spaces with time-varying volume. A set of vacuum solutions where the internal space is a product of hyperbolic manifolds is found to give qualitatively the same accelerating four-dimensional FLRW universe behavior as a single hyperbolic space. We also examine the possibility that our universe is a hyperbolic space and provide exact Milne type solutions, as well as intersecting S-brane solutions. When both the usual 4D spacetime and the m-dimensional internal space are hyperbolic, we find eternally accelerating cosmologies for $m\geq 7$, with and without form field backgrounds. In particular, the effective potential for a magnetic field background in the large 3 dimensions is positive definite with a local minimum and thus enhances the eternally accelerating expansion. |
1212.2691 | Minjoon Park | Minjoon Park and Lorenzo Sorbo | Vacua and instantons of ghost-free massive gravity | 16 pages, 1 figure | null | 10.1103/PhysRevD.87.024041 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently discovered models of ghost-free massive gravity and bigravity are
characterized by a non-trivial potential that gives rise to a rich vacuum
structure. We review maximally symmetric vacua of the de Rham-Gabadadze-Tolley
(dRGT) massive gravity and of the Hassan-Rosen (HR) bigravity, and discuss
their perturbative stability. In particular, we discuss perturbations about
self-accelerating vacua in HR bigravity, and argue that, analogously to what
was found in the case of dRGT gravity, some of them contain strongly coupled
modes. We then show that it is impossible to construct regular instantons
connecting different classically stable vacua of dRGT gravity without violating
energy conservation or the null energy condition.
| [
{
"created": "Wed, 12 Dec 2012 02:29:36 GMT",
"version": "v1"
}
] | 2013-05-30 | [
[
"Park",
"Minjoon",
""
],
[
"Sorbo",
"Lorenzo",
""
]
] | Recently discovered models of ghost-free massive gravity and bigravity are characterized by a non-trivial potential that gives rise to a rich vacuum structure. We review maximally symmetric vacua of the de Rham-Gabadadze-Tolley (dRGT) massive gravity and of the Hassan-Rosen (HR) bigravity, and discuss their perturbative stability. In particular, we discuss perturbations about self-accelerating vacua in HR bigravity, and argue that, analogously to what was found in the case of dRGT gravity, some of them contain strongly coupled modes. We then show that it is impossible to construct regular instantons connecting different classically stable vacua of dRGT gravity without violating energy conservation or the null energy condition. |
hep-th/9402053 | null | H.J. de Vega, Luca Mezincescu and Rafael I. Nepomechie | Scalar Kinks | 17 pages, no figures, plain TEX, LPTHE-PAR 94-04, UMTG-174 | Int.J.Mod.Phys. B8 (1994) 3473-3485 | 10.1142/S0217979294001469 | null | hep-th cond-mat | null | We determine the excitations and $S$ matrix of an integrable isotropic
antiferromagnetic quantum spin chain of alternating spin 1/2 and spin 1. There
are two types of gapless one-particle excitations: the usual spin 1/2
(``spinor'') kink, and a new spin 0 (``scalar'') kink. Remarkably, the
scalar-spinor scattering is nontrivial, yet the spinor-spinor scattering is the
same as if the scalar kinks were absent. Moreover, there is no scalar-scalar
scattering.
| [
{
"created": "Wed, 9 Feb 1994 15:14:57 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"de Vega",
"H. J.",
""
],
[
"Mezincescu",
"Luca",
""
],
[
"Nepomechie",
"Rafael I.",
""
]
] | We determine the excitations and $S$ matrix of an integrable isotropic antiferromagnetic quantum spin chain of alternating spin 1/2 and spin 1. There are two types of gapless one-particle excitations: the usual spin 1/2 (``spinor'') kink, and a new spin 0 (``scalar'') kink. Remarkably, the scalar-spinor scattering is nontrivial, yet the spinor-spinor scattering is the same as if the scalar kinks were absent. Moreover, there is no scalar-scalar scattering. |
hep-th/9702152 | Herrera Aguilar Alfredo | A. Herrera and O. Kechkin | Double Ernst Solution in Einstein-Kalb-Ramond Theory | 11 pages, RevTex. Talk given at IX Lobachevski International Seminar
"Gravitation and Cosmology", JINR, Dubna, Russia; 8-12 December 1996 | Mod.Phys.Lett.A12:1629-1636,1997 | 10.1142/S0217732397001655 | null | hep-th | null | The K\"ahler formulation of 5-dimensional Einstein-Kalb-Ramond (EKR) theory
admitting two commuting Killing vectors is presented. Three different
Kramer-Neugebauer-like maps are established for the 2-dimensional case. A class
of solutions constructed on the double Ernst one is obtained. It is shown that
the double Kerr solution corresponds to a EKR dipole configuration with
horizon.
| [
{
"created": "Thu, 20 Feb 1997 23:46:10 GMT",
"version": "v1"
}
] | 2011-04-15 | [
[
"Herrera",
"A.",
""
],
[
"Kechkin",
"O.",
""
]
] | The K\"ahler formulation of 5-dimensional Einstein-Kalb-Ramond (EKR) theory admitting two commuting Killing vectors is presented. Three different Kramer-Neugebauer-like maps are established for the 2-dimensional case. A class of solutions constructed on the double Ernst one is obtained. It is shown that the double Kerr solution corresponds to a EKR dipole configuration with horizon. |
1212.2606 | Gabriele Veneziano | Gabriele Veneziano | Quantum hair and the string-black hole correspondence | 11 pages, no figures, typos corrected, discussion and references
added, version accepted for publication in Class. and Quantum Gravity | null | 10.1088/0264-9381/30/9/092001 | CERN-PH-TH/2012-350 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a thought experiment in which an energetic massless string probes
a "stringhole" (a heavy string lying on the correspondence curve between
strings and black holes) at large enough impact parameter for the regime to be
under theoretical control. The corresponding, explicitly unitary, $S$-matrix
turns out to be perturbatively sensitive to the microstate of the stringhole:
in particular, at leading order in $l_s/b$, it depends on a projection of the
stringhole's Lorentz-contracted quadrupole moment. The string-black hole
correspondence is therefore violated if one assumes quantum hair to be
exponentially suppressed as a function of black-hole entropy. Implications for
the information paradox are briefly discussed.
| [
{
"created": "Tue, 11 Dec 2012 20:14:42 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Mar 2013 22:57:11 GMT",
"version": "v2"
}
] | 2015-06-12 | [
[
"Veneziano",
"Gabriele",
""
]
] | We consider a thought experiment in which an energetic massless string probes a "stringhole" (a heavy string lying on the correspondence curve between strings and black holes) at large enough impact parameter for the regime to be under theoretical control. The corresponding, explicitly unitary, $S$-matrix turns out to be perturbatively sensitive to the microstate of the stringhole: in particular, at leading order in $l_s/b$, it depends on a projection of the stringhole's Lorentz-contracted quadrupole moment. The string-black hole correspondence is therefore violated if one assumes quantum hair to be exponentially suppressed as a function of black-hole entropy. Implications for the information paradox are briefly discussed. |
0705.2369 | Marius de Leeuw | M. de Leeuw | Coordinate Bethe Ansatz for the String S-Matrix | 25 Pages, plain LaTeX, 4 Figures. Mostly added references, fixed
typos | J.Phys.A40:14413-14432,2007 | 10.1088/1751-8113/40/48/008 | ITP-UU-07/28, Spin 07/18 | hep-th | null | We use the coordinate Bethe ansatz approach to derive the nested Bethe
equations corresponding to the recently found S-matrix for strings in AdS5 x
S5, compatible with centrally extended su(2|2) symmetry.
| [
{
"created": "Wed, 16 May 2007 14:50:28 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Jul 2007 08:09:59 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"de Leeuw",
"M.",
""
]
] | We use the coordinate Bethe ansatz approach to derive the nested Bethe equations corresponding to the recently found S-matrix for strings in AdS5 x S5, compatible with centrally extended su(2|2) symmetry. |
hep-th/9701188 | Jorge Russo | J.G. Russo | T-duality in M-theory and supermembranes | harvmac, 9 pages | Phys.Lett. B400 (1997) 37-42 | 10.1016/S0370-2693(97)00322-5 | Imperial/TP/96-97/20 | hep-th | null | The (q_1,q_2) SL(2,Z) string bound states of type IIB superstring theory
admit two inequivalent (T-dual) representations in eleven dimensions in terms
of a fundamental 2-brane. In both cases, the spectrum of membrane oscillations
can be determined exactly in the limit $g^2\to \infty $, where $g^2$ is the
type IIA string coupling. We find that the BPS mass formulas agree, and
reproduce the BPS mass spectrum of the $(q_1,q_2)$ string bound state. In the
non-BPS sector, the respective mass formulas apply in different corners of the
moduli space. The axiomatic requirement of T-duality in M-theory permits to
derive a discrete mass spectrum in a (thin torus) region where standard
supermembrane theory undergoes instabilities.
| [
{
"created": "Thu, 30 Jan 1997 20:18:03 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Russo",
"J. G.",
""
]
] | The (q_1,q_2) SL(2,Z) string bound states of type IIB superstring theory admit two inequivalent (T-dual) representations in eleven dimensions in terms of a fundamental 2-brane. In both cases, the spectrum of membrane oscillations can be determined exactly in the limit $g^2\to \infty $, where $g^2$ is the type IIA string coupling. We find that the BPS mass formulas agree, and reproduce the BPS mass spectrum of the $(q_1,q_2)$ string bound state. In the non-BPS sector, the respective mass formulas apply in different corners of the moduli space. The axiomatic requirement of T-duality in M-theory permits to derive a discrete mass spectrum in a (thin torus) region where standard supermembrane theory undergoes instabilities. |
1309.2949 | Alessandro Tomasiello | Fabio Apruzzi, Marco Fazzi, Dario Rosa and Alessandro Tomasiello | All AdS_7 solutions of type II supergravity | 45 pages, 4 figures. v2: solution with single D8 added; references
added; minor corrections | null | 10.1007/JHEP04(2014)064 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In M-theory, the only AdS_7 supersymmetric solutions are AdS_7 x S^4 and its
orbifolds. In this paper, we find and classify new supersymmetric solutions of
the type AdS_7 x M_3 in type II supergravity. While in IIB none exist, in IIA
with Romans mass (which does not lift to M-theory) there are many new ones. We
use a pure spinor approach reminiscent of generalized complex geometry. Without
the need for any Ansatz, the system determines uniquely the form of the metric
and fluxes, up to solving a system of ODEs. Namely, the metric on M_3 is that
of an S^2 fibered over an interval; this is consistent with the Sp(1)
R-symmetry of the holographically dual (1,0) theory. By including D8 brane
sources, one can numerically obtain regular solutions, where topologically M_3
= S^3.
| [
{
"created": "Wed, 11 Sep 2013 20:00:06 GMT",
"version": "v1"
},
{
"created": "Sat, 22 Feb 2014 18:58:21 GMT",
"version": "v2"
}
] | 2015-06-17 | [
[
"Apruzzi",
"Fabio",
""
],
[
"Fazzi",
"Marco",
""
],
[
"Rosa",
"Dario",
""
],
[
"Tomasiello",
"Alessandro",
""
]
] | In M-theory, the only AdS_7 supersymmetric solutions are AdS_7 x S^4 and its orbifolds. In this paper, we find and classify new supersymmetric solutions of the type AdS_7 x M_3 in type II supergravity. While in IIB none exist, in IIA with Romans mass (which does not lift to M-theory) there are many new ones. We use a pure spinor approach reminiscent of generalized complex geometry. Without the need for any Ansatz, the system determines uniquely the form of the metric and fluxes, up to solving a system of ODEs. Namely, the metric on M_3 is that of an S^2 fibered over an interval; this is consistent with the Sp(1) R-symmetry of the holographically dual (1,0) theory. By including D8 brane sources, one can numerically obtain regular solutions, where topologically M_3 = S^3. |
1704.02113 | Naoki Sasakura | Dennis Obster, Naoki Sasakura | Symmetric configurations highlighted by collective quantum coherence | 19 pages, 4 figures; Major changes in the summary section. Some other
minor changes. Figures replaced. References added | null | 10.1140/epjc/s10052-017-5355-y | YITP-17-34 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recent developments in quantum gravity have shown the Lorentzian treatment to
be a fruitful approach towards the emergence of macroscopic spacetimes. In this
paper, we discuss another related aspect of the Lorentzian treatment: we argue
that collective quantum coherence may provide a simple mechanism for
highlighting symmetric configurations over generic non-symmetric ones. After
presenting the general framework of the mechanism, we show the phenomenon in
some concrete simple examples in the randomly connected tensor network, which
is tightly related to a certain model of quantum gravity, i.e., the canonical
tensor model. We find large peaks at configurations invariant under Lie-group
symmetries as well as a preference for charge quantization, even in the Abelian
case. In future study, this simple mechanism may provide a way to analyze the
emergence of macroscopic spacetimes with global symmetries as well as various
other symmetries existing in nature, which are usually postulated.
| [
{
"created": "Fri, 7 Apr 2017 07:27:12 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Apr 2017 04:18:02 GMT",
"version": "v2"
},
{
"created": "Fri, 3 Nov 2017 08:13:51 GMT",
"version": "v3"
}
] | 2017-12-06 | [
[
"Obster",
"Dennis",
""
],
[
"Sasakura",
"Naoki",
""
]
] | Recent developments in quantum gravity have shown the Lorentzian treatment to be a fruitful approach towards the emergence of macroscopic spacetimes. In this paper, we discuss another related aspect of the Lorentzian treatment: we argue that collective quantum coherence may provide a simple mechanism for highlighting symmetric configurations over generic non-symmetric ones. After presenting the general framework of the mechanism, we show the phenomenon in some concrete simple examples in the randomly connected tensor network, which is tightly related to a certain model of quantum gravity, i.e., the canonical tensor model. We find large peaks at configurations invariant under Lie-group symmetries as well as a preference for charge quantization, even in the Abelian case. In future study, this simple mechanism may provide a way to analyze the emergence of macroscopic spacetimes with global symmetries as well as various other symmetries existing in nature, which are usually postulated. |
1506.02598 | Andrei Belitsky | A.V. Belitsky | Descent equation for superloop and cyclicity of OPE | 19 pages, 2 figures; updated conventions | null | 10.1016/j.nuclphysb.2016.10.011 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the so-called Descent, or Q-bar, Equation for the null polygonal
supersymmetric Wilson loop in the framework of the pentagon operator product
expansion. To properly address this problem, one requires to restore the
cyclicity of the loop broken by the choice of OPE channels. In the course of
the study, we unravel a phenomenon of twist enhancement when passing to a
cyclically shifted channel. Currently, we focus on the consistency of the
all-order Descent equation for the particular case relating the NMHV heptagon
to MHV hexagon. We find that the equation establishes a relation between
contributions of different twists and successfully verify it in perturbation
theory making use of available bootstrap predictions for elementary pentagons.
| [
{
"created": "Mon, 8 Jun 2015 17:53:40 GMT",
"version": "v1"
},
{
"created": "Thu, 19 May 2016 16:43:07 GMT",
"version": "v2"
}
] | 2016-12-21 | [
[
"Belitsky",
"A. V.",
""
]
] | We study the so-called Descent, or Q-bar, Equation for the null polygonal supersymmetric Wilson loop in the framework of the pentagon operator product expansion. To properly address this problem, one requires to restore the cyclicity of the loop broken by the choice of OPE channels. In the course of the study, we unravel a phenomenon of twist enhancement when passing to a cyclically shifted channel. Currently, we focus on the consistency of the all-order Descent equation for the particular case relating the NMHV heptagon to MHV hexagon. We find that the equation establishes a relation between contributions of different twists and successfully verify it in perturbation theory making use of available bootstrap predictions for elementary pentagons. |
hep-th/9802008 | null | C. R. Hagen | Non-thermalizability of a Quantum Field Theory | 9 pages, latex. no figures | null | null | null | hep-th quant-ph | null | The problem of understanding the role of large gauge transformations in
thermal field theories has recently inspired a number of studies of a one
dimensional field theory. Such work has led to the conclusion that gauge
invariance is restored only when the entire perturbation expansion can be
summed. A careful reexamination of that model is shown, h0owever, to lead to
vastly different conclusions when the constraint implied by the field equations
is explicitly taken into account. In particular it is found that none of the
relevant propagators has any temperature dependence and that the effective
action is essentially trivial. A generalization of the model to include bosons
as well as fermions is also solved with qualitatively identical results being
obtained.
| [
{
"created": "Mon, 2 Feb 1998 18:36:00 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Hagen",
"C. R.",
""
]
] | The problem of understanding the role of large gauge transformations in thermal field theories has recently inspired a number of studies of a one dimensional field theory. Such work has led to the conclusion that gauge invariance is restored only when the entire perturbation expansion can be summed. A careful reexamination of that model is shown, h0owever, to lead to vastly different conclusions when the constraint implied by the field equations is explicitly taken into account. In particular it is found that none of the relevant propagators has any temperature dependence and that the effective action is essentially trivial. A generalization of the model to include bosons as well as fermions is also solved with qualitatively identical results being obtained. |
1401.0784 | Kimball A. Milton | K. A. Milton, K. V. Shajesh, S. A. Fulling, and Prachi Parashar | How does Casimir energy fall? IV. Gravitational interaction of
regularized quantum vacuum energy | 14 pages, 4 figures | Phys. Rev. D 89, 064027 (2014) | 10.1103/PhysRevD.89.064027 | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Several years ago we demonstrated that the Casimir energy for perfectly
reflecting and imperfectly reflecting parallel plates gravitated normally, that
is, obeyed the equivalence principle. At that time the divergences in the
theory were treated only formally, without proper regularization, and the
coupling to gravity was limited to the canonical energy-momentum-stress tensor.
Here we strengthen the result by removing both of those limitations. We
consider, as a toy model, massless scalar fields interacting with
semitransparent ($\delta$-function) potentials defining parallel plates, which
become Dirichlet plates for strong coupling. We insert space and time
point-split regulation parameters, and obtain well-defined contributions to the
self- energy of each plate, and the interaction energy between the plates.
(This self-energy does not vanish even in the conformally-coupled,
strong-coupled limit.) We also compute the local energy density, which requires
regularization near the plates. In general, the energy density includes a
surface energy that resides precisely on the boundaries. This energy is also
regulated. The gravitational interaction of this well-defined system is then
investigated, and it is verified that the equivalence principle is satisfied.
| [
{
"created": "Sat, 4 Jan 2014 07:07:28 GMT",
"version": "v1"
}
] | 2024-04-08 | [
[
"Milton",
"K. A.",
""
],
[
"Shajesh",
"K. V.",
""
],
[
"Fulling",
"S. A.",
""
],
[
"Parashar",
"Prachi",
""
]
] | Several years ago we demonstrated that the Casimir energy for perfectly reflecting and imperfectly reflecting parallel plates gravitated normally, that is, obeyed the equivalence principle. At that time the divergences in the theory were treated only formally, without proper regularization, and the coupling to gravity was limited to the canonical energy-momentum-stress tensor. Here we strengthen the result by removing both of those limitations. We consider, as a toy model, massless scalar fields interacting with semitransparent ($\delta$-function) potentials defining parallel plates, which become Dirichlet plates for strong coupling. We insert space and time point-split regulation parameters, and obtain well-defined contributions to the self- energy of each plate, and the interaction energy between the plates. (This self-energy does not vanish even in the conformally-coupled, strong-coupled limit.) We also compute the local energy density, which requires regularization near the plates. In general, the energy density includes a surface energy that resides precisely on the boundaries. This energy is also regulated. The gravitational interaction of this well-defined system is then investigated, and it is verified that the equivalence principle is satisfied. |
1812.04008 | Andreas P. Braun | Bobby Samir Acharya, Andreas P. Braun, Eirik Eik Svanes, Roberto
Valandro | Counting Associatives in Compact $G_2$ Orbifolds | 27 pages, 3 figures | null | null | KCL-PH-TH/2018-74 | hep-th math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe a class of compact $G_2$ orbifolds constructed from
non-symplectic involutions of K3 surfaces. Within this class, we identify a
model for which there are infinitely many associative submanifolds contributing
to the effective superpotential of M-theory compactifications. Under a chain of
dualities, these can be mapped to F-theory on a Calabi-Yau fourfold, and we
find that they are dual to an example studied by Donagi, Grassi and Witten.
Finally, we give two different descriptions of our main example and the
associative submanifolds as a twisted connected sum.
| [
{
"created": "Mon, 10 Dec 2018 19:00:02 GMT",
"version": "v1"
}
] | 2018-12-12 | [
[
"Acharya",
"Bobby Samir",
""
],
[
"Braun",
"Andreas P.",
""
],
[
"Svanes",
"Eirik Eik",
""
],
[
"Valandro",
"Roberto",
""
]
] | We describe a class of compact $G_2$ orbifolds constructed from non-symplectic involutions of K3 surfaces. Within this class, we identify a model for which there are infinitely many associative submanifolds contributing to the effective superpotential of M-theory compactifications. Under a chain of dualities, these can be mapped to F-theory on a Calabi-Yau fourfold, and we find that they are dual to an example studied by Donagi, Grassi and Witten. Finally, we give two different descriptions of our main example and the associative submanifolds as a twisted connected sum. |
2009.11197 | Mykola Dedushenko | Mykola Dedushenko and Davide Gaiotto | Algebras, traces, and boundary correlators in $\mathcal{N}=4$ SYM | 62 pages, 3 figures | null | 10.1007/JHEP12(2021)050 | null | hep-th math-ph math.MP math.QA math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study supersymmetric sectors at half-BPS boundaries and interfaces in the
4d $\mathcal{N}=4$ super Yang-Mills with the gauge group $G$, which are
described by associative algebras equipped with twisted traces. Such data are
in one-to-one correspondence with an infinite set of defect correlation
functions. We identify algebras and traces for known boundary conditions. Ward
identities expressing the (twisted) periodicity of the trace highly constrain
its structure, in many cases allowing for the complete solution. Our main
examples in this paper are: the universal enveloping algebra $U(\mathfrak{g})$
with the trace describing the Dirichlet boundary conditions; and the finite
W-algebra $\mathcal{W}(\mathfrak{g},t_+)$ with the trace describing the Nahm
pole boundary conditions.
| [
{
"created": "Wed, 23 Sep 2020 15:00:00 GMT",
"version": "v1"
}
] | 2022-01-05 | [
[
"Dedushenko",
"Mykola",
""
],
[
"Gaiotto",
"Davide",
""
]
] | We study supersymmetric sectors at half-BPS boundaries and interfaces in the 4d $\mathcal{N}=4$ super Yang-Mills with the gauge group $G$, which are described by associative algebras equipped with twisted traces. Such data are in one-to-one correspondence with an infinite set of defect correlation functions. We identify algebras and traces for known boundary conditions. Ward identities expressing the (twisted) periodicity of the trace highly constrain its structure, in many cases allowing for the complete solution. Our main examples in this paper are: the universal enveloping algebra $U(\mathfrak{g})$ with the trace describing the Dirichlet boundary conditions; and the finite W-algebra $\mathcal{W}(\mathfrak{g},t_+)$ with the trace describing the Nahm pole boundary conditions. |
1506.05480 | Minwoo Suh | Hyojoong Kim, Nakwoo Kim, Minwoo Suh | Supersymmetric AdS_6 Solutions of Type IIB Supergravity | v2: 24 pages, misprints corrected, published in EPJC | Eur.Phys.J. C75 (2015) 10, 484 | 10.1140/epjc/s10052-015-3705-1 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the general requirement for supersymmetric AdS$_6$ solutions in type
IIB supergravity. We employ the Killing spinor technique and study the
differential and algebraic relations among various Killing spinor bilinears to
find the canonical form of the solutions. Our result agrees precisely with the
work of Apruzzi et. al. \cite{Apruzzi:2014qva} which used the pure spinor
technique. We also obtained the four-dimensional theory through the dimensional
reduction of type IIB supergravity on AdS$_6$. This effective action is
essentially a nonlinear sigma model with five scalar fields parametrizing
$\textrm{SL}(3,\mathbb{R})/\textrm{SO}(2,1)$, modified by a scalar potential
and coupled to Einstein gravity in Euclidean signature. We argue that the
scalar potential can be explained by a subgroup CSO(1,1,1)
$\subset\textrm{SL}(3,\mathbb{R})$ in a way analogous to gauged supergravity.
| [
{
"created": "Wed, 17 Jun 2015 20:11:38 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Oct 2015 18:11:38 GMT",
"version": "v2"
}
] | 2020-07-20 | [
[
"Kim",
"Hyojoong",
""
],
[
"Kim",
"Nakwoo",
""
],
[
"Suh",
"Minwoo",
""
]
] | We study the general requirement for supersymmetric AdS$_6$ solutions in type IIB supergravity. We employ the Killing spinor technique and study the differential and algebraic relations among various Killing spinor bilinears to find the canonical form of the solutions. Our result agrees precisely with the work of Apruzzi et. al. \cite{Apruzzi:2014qva} which used the pure spinor technique. We also obtained the four-dimensional theory through the dimensional reduction of type IIB supergravity on AdS$_6$. This effective action is essentially a nonlinear sigma model with five scalar fields parametrizing $\textrm{SL}(3,\mathbb{R})/\textrm{SO}(2,1)$, modified by a scalar potential and coupled to Einstein gravity in Euclidean signature. We argue that the scalar potential can be explained by a subgroup CSO(1,1,1) $\subset\textrm{SL}(3,\mathbb{R})$ in a way analogous to gauged supergravity. |
hep-th/0103079 | Kluson Josef | J. Kluson | N D0-branes and antibranes in the background independent string field
theory | 20 pages | Phys.Rev. D64 (2001) 126006 | 10.1103/PhysRevD.64.126006 | null | hep-th | null | In this paper we extend our previous work hep-th/0102063 to the case
D0-brane+antibrane system.
| [
{
"created": "Sun, 11 Mar 2001 17:28:39 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Kluson",
"J.",
""
]
] | In this paper we extend our previous work hep-th/0102063 to the case D0-brane+antibrane system. |
hep-th/0104060 | Li Yu Qi | Han-Ying Guo, Xiao-mei Ji, Yu-Qi Li, and Ke Wu | A Note on Symplectic, Multisymplectic Scheme in Finite Element Method | 7 pages, 3 figures | null | 10.1088/0253-6102/36/3/259 | null | hep-th | null | We find that with uniform mesh, the numerical schemes derived from finite
element method can keep a preserved symplectic structure in one-dimensional
case and a preserved multisymplectic structure in two-dimentional case in
certain discrete version respectively. These results are in fact the intrinsic
reason that the numerical experiments indicate that such finite element
algorithms are accurate in practice.
| [
{
"created": "Fri, 6 Apr 2001 09:03:42 GMT",
"version": "v1"
}
] | 2018-01-17 | [
[
"Guo",
"Han-Ying",
""
],
[
"Ji",
"Xiao-mei",
""
],
[
"Li",
"Yu-Qi",
""
],
[
"Wu",
"Ke",
""
]
] | We find that with uniform mesh, the numerical schemes derived from finite element method can keep a preserved symplectic structure in one-dimensional case and a preserved multisymplectic structure in two-dimentional case in certain discrete version respectively. These results are in fact the intrinsic reason that the numerical experiments indicate that such finite element algorithms are accurate in practice. |
2310.08516 | Surya Raghavendran | Niklas Garner, Surya Raghavendran, Brian R. Williams | Enhanced symmetries in minimally-twisted three-dimensional
supersymmetric theories | 41 pages, feedback welcome! | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the action of residual supersymmetries in
holomorphic-topological twists of $N = 2$ theories in three dimensions
naturally extends to the action of certain infinite dimensional Lie
superalgebras. We demonstrate this in a range of examples, including $N = 4$
Yang-Mills theories and superconformal Chern-Simons theories, describing how
the symmetries are implemented at the level of local operators.
| [
{
"created": "Thu, 12 Oct 2023 17:10:59 GMT",
"version": "v1"
}
] | 2023-10-13 | [
[
"Garner",
"Niklas",
""
],
[
"Raghavendran",
"Surya",
""
],
[
"Williams",
"Brian R.",
""
]
] | We show that the action of residual supersymmetries in holomorphic-topological twists of $N = 2$ theories in three dimensions naturally extends to the action of certain infinite dimensional Lie superalgebras. We demonstrate this in a range of examples, including $N = 4$ Yang-Mills theories and superconformal Chern-Simons theories, describing how the symmetries are implemented at the level of local operators. |
0707.3406 | Oscar J. C. Dias | Vitor Cardoso, Oscar J.C. Dias, Robert C. Myers | On the gravitational stability of D1-D5-P black holes | 18 pages, 3 figures. Minor comments added to match published version | Phys.Rev.D76:105015,2007 | 10.1103/PhysRevD.76.105015 | null | hep-th gr-qc | null | We examine the stability of the nonextremal D1-D5-P black hole solutions. In
particular, we look for the appearance of a superradiant instability for the
spinning black holes but we find no evidence of such an instability. We compare
this situation with that for the smooth soliton geometries, which were recently
observed to suffer from an ergoregion instability, and consider the
implications for the fuzzball proposal.
| [
{
"created": "Mon, 23 Jul 2007 16:23:52 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Oct 2007 12:34:33 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Cardoso",
"Vitor",
""
],
[
"Dias",
"Oscar J. C.",
""
],
[
"Myers",
"Robert C.",
""
]
] | We examine the stability of the nonextremal D1-D5-P black hole solutions. In particular, we look for the appearance of a superradiant instability for the spinning black holes but we find no evidence of such an instability. We compare this situation with that for the smooth soliton geometries, which were recently observed to suffer from an ergoregion instability, and consider the implications for the fuzzball proposal. |
hep-th/0204057 | Marcelo A. N. Botta Cantcheff | M. Botta Cantcheff, J. A. Helay\"el-Neto | Bosonization and Duality in Arbitrary Dimensions: New Results | Revised version, to appear in Phys. Rev. D | Phys.Rev. D67 (2003) 025016 | 10.1103/PhysRevD.67.025016 | null | hep-th | null | A generic massive Thirring Model in three space-time dimensions exhibits a
correspondence with a topologically massive bosonized gauge action associated
to a self-duality constraint, and we write down a general expression for this
relationship.
We also generalize this structure to $d$ dimensions, by adopting the
so-called doublet approach, recently introduced. In particular, a non-
conventional formulation of the bosonization technique in higher dimensions (in
the spirit of $d=3$), is proposed and, as an application, we show how fermionic
(Thirring-like) representations for bosonic topologically massive models in
four dimensions may be built up.
| [
{
"created": "Fri, 5 Apr 2002 19:29:57 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Nov 2002 14:48:34 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Cantcheff",
"M. Botta",
""
],
[
"Helayël-Neto",
"J. A.",
""
]
] | A generic massive Thirring Model in three space-time dimensions exhibits a correspondence with a topologically massive bosonized gauge action associated to a self-duality constraint, and we write down a general expression for this relationship. We also generalize this structure to $d$ dimensions, by adopting the so-called doublet approach, recently introduced. In particular, a non- conventional formulation of the bosonization technique in higher dimensions (in the spirit of $d=3$), is proposed and, as an application, we show how fermionic (Thirring-like) representations for bosonic topologically massive models in four dimensions may be built up. |
2207.12794 | Xu-Guang Huang | Koichi Hattori, Masaru Hongo, Xu-Guang Huang | New developments in relativistic magnetohydrodynamics | 103 pages, 9 figures. Invited review for Symmetry | Symmetry 14, 1851 (2022) | 10.3390/sym14091851 | RIKEN-iTHEMS-Report-22 | hep-th astro-ph.HE hep-ph nucl-th physics.plasm-ph | http://creativecommons.org/licenses/by/4.0/ | Relativistic magnetohydrodynamics (RMHD) provides an extremely useful
description of the low-energy long-wavelength phenomena in a variety of
physical systems from quark-gluon plasma in heavy-ion collisions to matters in
supernovas, compact stars, and early universe. We review the recent theoretical
progresses of RMHD, such as a formulation of RMHD from the perspective of
magnetic flux conservation using the entropy-current analysis, the
nonequilibrium statistical operator approach applied to quantum
electrodynamics, and the relativistic kinetic theory. We discuss how the
transport coefficients in RMHD are computed in kinetic theory and perturbative
quantum field theories. We also explore the collective modes and instabilities
in RMHD with a special emphasis on the role of chirality in a parity-odd
plasma. We also give some future prospects of RMHD, including the interaction
with spin hydrodynamics and the new kinetic framework with magnetic flux
conservation.
| [
{
"created": "Tue, 26 Jul 2022 10:26:45 GMT",
"version": "v1"
},
{
"created": "Sun, 18 Sep 2022 14:57:26 GMT",
"version": "v2"
}
] | 2022-09-20 | [
[
"Hattori",
"Koichi",
""
],
[
"Hongo",
"Masaru",
""
],
[
"Huang",
"Xu-Guang",
""
]
] | Relativistic magnetohydrodynamics (RMHD) provides an extremely useful description of the low-energy long-wavelength phenomena in a variety of physical systems from quark-gluon plasma in heavy-ion collisions to matters in supernovas, compact stars, and early universe. We review the recent theoretical progresses of RMHD, such as a formulation of RMHD from the perspective of magnetic flux conservation using the entropy-current analysis, the nonequilibrium statistical operator approach applied to quantum electrodynamics, and the relativistic kinetic theory. We discuss how the transport coefficients in RMHD are computed in kinetic theory and perturbative quantum field theories. We also explore the collective modes and instabilities in RMHD with a special emphasis on the role of chirality in a parity-odd plasma. We also give some future prospects of RMHD, including the interaction with spin hydrodynamics and the new kinetic framework with magnetic flux conservation. |
hep-th/0509213 | Christoph Stephan A. | Christoph A. Stephan | Almost-Commutative Geometries Beyond the Standard Model | null | J.Phys. A39 (2006) 9657 | 10.1088/0305-4470/39/30/016 | null | hep-th hep-ph | null | In [7-9] and [10] the conjecture is presented that almost-commutative
geometries, with respect to sensible physical constraints, allow only the
standard model of particle physics and electro-strong models as
Yang-Mills-Higgs theories. In this publication a counter example will be given.
The corresponding almost-commutative geometry leads to a Yang-Mills-Higgs
model which consists of the standard model of particle physics and two new
fermions of opposite electro-magnetic charge. This is the second
Yang-Mills-Higgs model within noncommutative geometry, after the standard
model, which could be compatible with experiments. Combined to a hydrogen-like
composite particle these new particles provide a novel dark matter candidate.
| [
{
"created": "Wed, 28 Sep 2005 15:15:52 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Stephan",
"Christoph A.",
""
]
] | In [7-9] and [10] the conjecture is presented that almost-commutative geometries, with respect to sensible physical constraints, allow only the standard model of particle physics and electro-strong models as Yang-Mills-Higgs theories. In this publication a counter example will be given. The corresponding almost-commutative geometry leads to a Yang-Mills-Higgs model which consists of the standard model of particle physics and two new fermions of opposite electro-magnetic charge. This is the second Yang-Mills-Higgs model within noncommutative geometry, after the standard model, which could be compatible with experiments. Combined to a hydrogen-like composite particle these new particles provide a novel dark matter candidate. |
1505.01282 | Kentaro Tanabe | Ryotaku Suzuki, Kentaro Tanabe | Stationary black holes: Large $D$ analysis | 45 pages, 6 figures, published version in JHEP | null | null | KEK-TH-1818, OCU-PHYS-423, AP-GR-123 | hep-th gr-qc | http://creativecommons.org/publicdomain/zero/1.0/ | We consider the effective theory of the large D stationary black hole. By
solving Einstein equation with a cosmological constant using the 1/D expansion
in near zone of a black hole we obtain the effective equation for the
stationary black hole. The effective equation describes the Myers-Perry black
hole, bumpy black holes and, possibly, the black ring solution as its
solutions. In this effective theory the black hole is represented as the
embedded membrane in the background, i.e., Minkowski or Anti-de Sitter
spacetime and its mean curvature is given by the redshifted surface gravity by
the background geometry and the local Lorentz boost. The local Lorentz boost
property of the effective equation is observed also in the metric. In fact we
show that the leading order metric of the Einstein equation in the 1/D
expansion is generically regarded as the Lorentz boosted Schwarzschild black
hole. We apply this Lorentz boost property of the stationary black hole
solution to solve the perturbation equation. As a result we obtain the analytic
formula for the quasinormal mode of the singly rotating Myers-Perry black hole
in the 1/D expansion.
| [
{
"created": "Wed, 6 May 2015 08:36:19 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Oct 2015 04:40:24 GMT",
"version": "v2"
}
] | 2015-10-09 | [
[
"Suzuki",
"Ryotaku",
""
],
[
"Tanabe",
"Kentaro",
""
]
] | We consider the effective theory of the large D stationary black hole. By solving Einstein equation with a cosmological constant using the 1/D expansion in near zone of a black hole we obtain the effective equation for the stationary black hole. The effective equation describes the Myers-Perry black hole, bumpy black holes and, possibly, the black ring solution as its solutions. In this effective theory the black hole is represented as the embedded membrane in the background, i.e., Minkowski or Anti-de Sitter spacetime and its mean curvature is given by the redshifted surface gravity by the background geometry and the local Lorentz boost. The local Lorentz boost property of the effective equation is observed also in the metric. In fact we show that the leading order metric of the Einstein equation in the 1/D expansion is generically regarded as the Lorentz boosted Schwarzschild black hole. We apply this Lorentz boost property of the stationary black hole solution to solve the perturbation equation. As a result we obtain the analytic formula for the quasinormal mode of the singly rotating Myers-Perry black hole in the 1/D expansion. |
2002.04043 | Ashoke Sen | Ashoke Sen | D-instanton Perturbation Theory | LaTeX file, 24 pages; v2: expanded discussion on ghost zero modes | null | 10.1007/JHEP08(2020)075 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | D-instanton world-volume theory has open string zero modes describing
collective coordinates of the instanton. The usual perturbative amplitudes in
the D-instanton background suffer from infra-red divergences due to the
presence of these zero modes, and the usual approach of analytic continuation
in momenta does not work since all open string states on a D-instanton carry
strictly zero momentum. String field theory is well-suited for tackling these
issues. However we find a new subtlety due to the existence of additional zero
modes in the ghost sector. This causes a breakdown of the Siegel gauge, but a
different gauge fixing consistent with the BV formalism renders the
perturbation theory finite and unambiguous. At each order, this produces extra
contribution to the amplitude besides what is obtained from integration over
the moduli space of Riemann surfaces.
| [
{
"created": "Mon, 10 Feb 2020 19:00:14 GMT",
"version": "v1"
},
{
"created": "Wed, 13 May 2020 07:10:58 GMT",
"version": "v2"
}
] | 2020-12-02 | [
[
"Sen",
"Ashoke",
""
]
] | D-instanton world-volume theory has open string zero modes describing collective coordinates of the instanton. The usual perturbative amplitudes in the D-instanton background suffer from infra-red divergences due to the presence of these zero modes, and the usual approach of analytic continuation in momenta does not work since all open string states on a D-instanton carry strictly zero momentum. String field theory is well-suited for tackling these issues. However we find a new subtlety due to the existence of additional zero modes in the ghost sector. This causes a breakdown of the Siegel gauge, but a different gauge fixing consistent with the BV formalism renders the perturbation theory finite and unambiguous. At each order, this produces extra contribution to the amplitude besides what is obtained from integration over the moduli space of Riemann surfaces. |
1609.03293 | Hiroyuki Kitamoto | Hiroyuki Kitamoto, Yoshihisa Kitazawa | Effective Lagrangian in de Sitter Spacetime | 18 pages | Phys. Rev. D 95, 025017 (2017) | 10.1103/PhysRevD.95.025017 | KEK-TH-1933, KUNS-2641 | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Scale invariant fluctuations of metric are universal feature of quantum
gravity in de Sitter spacetime. We construct an effective Lagrangian which
summarizes their implications on local physics by integrating super-horizon
metric fluctuations. It shows infrared quantum effects are local and render
fundamental couplings time dependent. We impose Lorenz invariance on the
effective Lagrangian as it is required by the principle of general covariance.
We show that such a requirement leads to unique physical predictions by fixing
the quantization ambiguities. We explain how the gauge parameter dependence of
observables is canceled. In particular the relative evolution speed of the
couplings are shown to be gauge invariant.
| [
{
"created": "Mon, 12 Sep 2016 07:43:41 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Jan 2017 09:15:07 GMT",
"version": "v2"
}
] | 2017-02-01 | [
[
"Kitamoto",
"Hiroyuki",
""
],
[
"Kitazawa",
"Yoshihisa",
""
]
] | Scale invariant fluctuations of metric are universal feature of quantum gravity in de Sitter spacetime. We construct an effective Lagrangian which summarizes their implications on local physics by integrating super-horizon metric fluctuations. It shows infrared quantum effects are local and render fundamental couplings time dependent. We impose Lorenz invariance on the effective Lagrangian as it is required by the principle of general covariance. We show that such a requirement leads to unique physical predictions by fixing the quantization ambiguities. We explain how the gauge parameter dependence of observables is canceled. In particular the relative evolution speed of the couplings are shown to be gauge invariant. |
hep-th/0111272 | Nick Emmenegger | N. Emmenegger | Gauge Invariance and Gauge-Factor Group in Causal Yang-Mills Theory | 70 pages, PhD Thesis | null | null | null | hep-th | null | In the present work the gauge invariance of causal Yang-Mills theory will be
proven with the aid of the gauge-factor group. For that purpose it must be
shown, that the operator valued distributions T_n and D_n(ret) occurring in the
causal S-matrix construction can be written, after applying the gauge variation
d_Q, as a divergence. Since merely local terms lead to gauge destroying
expressions, one has to focus on them exclusively. In the first part of the
work the local gauge-factor group will be defined in the style of the concept
of gauge cohomology theory. It will be shown, that every element out of the so
defined factor group under the transformation d_Q leads to a divergence of the
entire operator valued distribution d_Q(T_n). In the second part all local
terms arising in causal Yang-Mills theory are systematically investigated.
Without further restrictions there can be proven, that every local operator
valued distribution is an element of the gauge factor group or equal to zero.
This concludes the demonstration of gauge invariance of causal Yang-Mills
theory.
| [
{
"created": "Thu, 29 Nov 2001 13:55:40 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Emmenegger",
"N.",
""
]
] | In the present work the gauge invariance of causal Yang-Mills theory will be proven with the aid of the gauge-factor group. For that purpose it must be shown, that the operator valued distributions T_n and D_n(ret) occurring in the causal S-matrix construction can be written, after applying the gauge variation d_Q, as a divergence. Since merely local terms lead to gauge destroying expressions, one has to focus on them exclusively. In the first part of the work the local gauge-factor group will be defined in the style of the concept of gauge cohomology theory. It will be shown, that every element out of the so defined factor group under the transformation d_Q leads to a divergence of the entire operator valued distribution d_Q(T_n). In the second part all local terms arising in causal Yang-Mills theory are systematically investigated. Without further restrictions there can be proven, that every local operator valued distribution is an element of the gauge factor group or equal to zero. This concludes the demonstration of gauge invariance of causal Yang-Mills theory. |
hep-th/0507207 | Marc Bellon | Marc Bellon (LPTHE), Michel Talon (LPTHE) | The quantum Neumann model: asymptotic analysis | 14 pages, 3 figures | Physics Letters A 351 (2006) 283-289 | 10.1016/j.physleta.2005.11.013 | null | hep-th nlin.SI | null | We use semi--classical and perturbation methods to establish the quantum
theory of the Neumann model, and explain the features observed in previous
numerical computations.
| [
{
"created": "Thu, 21 Jul 2005 07:11:38 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Bellon",
"Marc",
"",
"LPTHE"
],
[
"Talon",
"Michel",
"",
"LPTHE"
]
] | We use semi--classical and perturbation methods to establish the quantum theory of the Neumann model, and explain the features observed in previous numerical computations. |
hep-th/0209004 | Hiroyuki Fuji | Hiroyuki Fuji, Katsushi Ito and Yasuhiro Sekino | Penrose Limit and String Theories on Various Brane Backgrounds | 41 pages, Latex, minor corrections | JHEP 0211:005,2002 | 10.1088/1126-6708/2002/11/005 | TIT-HEP-483 | hep-th | null | We investigate the Penrose limit of various brane solutions including
Dp-branes, NS5-branes, fundamental strings, (p,q) fivebranes and (p,q) strings.
We obtain special null geodesics with the fixed radial coordinate (critical
radius), along which the Penrose limit gives string theories with constant
mass. We also study string theories with time-dependent mass, which arise from
the Penrose limit of the brane backgrounds. We examine equations of motion of
the strings in the asymptotic flat region and around the critical radius. In
particular, for (p,q) fivebranes, we find that the string equations of motion
in the directions with the B field are explicitly solved by the spheroidal wave
functions.
| [
{
"created": "Sat, 31 Aug 2002 11:03:17 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Sep 2002 06:06:42 GMT",
"version": "v2"
},
{
"created": "Wed, 4 Dec 2002 06:02:26 GMT",
"version": "v3"
}
] | 2014-11-18 | [
[
"Fuji",
"Hiroyuki",
""
],
[
"Ito",
"Katsushi",
""
],
[
"Sekino",
"Yasuhiro",
""
]
] | We investigate the Penrose limit of various brane solutions including Dp-branes, NS5-branes, fundamental strings, (p,q) fivebranes and (p,q) strings. We obtain special null geodesics with the fixed radial coordinate (critical radius), along which the Penrose limit gives string theories with constant mass. We also study string theories with time-dependent mass, which arise from the Penrose limit of the brane backgrounds. We examine equations of motion of the strings in the asymptotic flat region and around the critical radius. In particular, for (p,q) fivebranes, we find that the string equations of motion in the directions with the B field are explicitly solved by the spheroidal wave functions. |
1105.3216 | Henning Samtleben | Henning Samtleben | Actions for Non-Abelian Twisted Self-Duality | 20 pages | null | 10.1016/j.nuclphysb.2011.05.024 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The dynamics of abelian vector and antisymmetric tensor gauge fields can be
described in terms of twisted self-duality equations. These first-order
equations relate the p-form fields to their dual forms by demanding that their
respective field strengths are dual to each other. It is well known that such
equations can be integrated to a local action that carries on equal footing the
p-forms together with their duals and is manifestly duality invariant.
Space-time covariance is no longer manifest but still present with a
non-standard realization of space-time diffeomorphisms on the gauge fields. In
this paper, we give a non-abelian generalization of this first-order action by
gauging part of its global symmetries. The resulting field equations are
non-abelian versions of the twisted self-duality equations. A key element in
the construction is the introduction of proper couplings to higher-rank tensor
fields. We discuss possible applications (to Yang-Mills and supergravity
theories) and comment on the relation to previous no-go theorems.
| [
{
"created": "Mon, 16 May 2011 20:43:28 GMT",
"version": "v1"
}
] | 2015-05-28 | [
[
"Samtleben",
"Henning",
""
]
] | The dynamics of abelian vector and antisymmetric tensor gauge fields can be described in terms of twisted self-duality equations. These first-order equations relate the p-form fields to their dual forms by demanding that their respective field strengths are dual to each other. It is well known that such equations can be integrated to a local action that carries on equal footing the p-forms together with their duals and is manifestly duality invariant. Space-time covariance is no longer manifest but still present with a non-standard realization of space-time diffeomorphisms on the gauge fields. In this paper, we give a non-abelian generalization of this first-order action by gauging part of its global symmetries. The resulting field equations are non-abelian versions of the twisted self-duality equations. A key element in the construction is the introduction of proper couplings to higher-rank tensor fields. We discuss possible applications (to Yang-Mills and supergravity theories) and comment on the relation to previous no-go theorems. |
2204.00314 | Mohammad Vahid Takook | M.V. Takook | Scalar and vector gauges unification in de Sitter ambient space
formalism | 17 pages, V2 some explanations added, an appendix added, V3 an
appendix added, | Nuclear Physics B 984 (2022) 115966 | 10.1016/j.nuclphysb.2022.115966 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We consider the massless minimally coupled scalar field in the de Sitter
ambient space formalism as a gauge potential or connection field. We construct
the scalar gauge theory by helping an arbitrary constant five-vector field
$B^\alpha$ analogous to the standard gauge theory. The Lagrangian density of
the interaction between the scalar and spinor fields is presented in this
framework. The Yukawa potential can be extracted from this Lagrangian density
at the null curvature limit by an appropriate choice of a constant five-vector
field. It is shown that the de Sitter ambient space formalism permits us to
unify the scalar and vector gauge fields. By choosing a matrix form for the
constant five-vector field $B^\alpha$, the unification of scalar and vector
gauge fields in the spectral action of noncommutative geometry can be
rewritten. We discuss that if the scalar gauge field is considered as a
conformal sector of the background metric field, it may be interpreted as the
connection field between the different de Sitter hyperboloids in the quantum
geometry from the classical point of view.
| [
{
"created": "Fri, 1 Apr 2022 09:52:46 GMT",
"version": "v1"
},
{
"created": "Sun, 12 Jun 2022 18:30:35 GMT",
"version": "v2"
},
{
"created": "Mon, 19 Sep 2022 14:40:52 GMT",
"version": "v3"
}
] | 2022-09-28 | [
[
"Takook",
"M. V.",
""
]
] | We consider the massless minimally coupled scalar field in the de Sitter ambient space formalism as a gauge potential or connection field. We construct the scalar gauge theory by helping an arbitrary constant five-vector field $B^\alpha$ analogous to the standard gauge theory. The Lagrangian density of the interaction between the scalar and spinor fields is presented in this framework. The Yukawa potential can be extracted from this Lagrangian density at the null curvature limit by an appropriate choice of a constant five-vector field. It is shown that the de Sitter ambient space formalism permits us to unify the scalar and vector gauge fields. By choosing a matrix form for the constant five-vector field $B^\alpha$, the unification of scalar and vector gauge fields in the spectral action of noncommutative geometry can be rewritten. We discuss that if the scalar gauge field is considered as a conformal sector of the background metric field, it may be interpreted as the connection field between the different de Sitter hyperboloids in the quantum geometry from the classical point of view. |
1307.2511 | Leonardo Ort\'iz | L. Ort\'iz | A note on the two point function on the boundary of AdS spacetime | 11 pages | JHAP 2021 | 10.22128/jhap.2021.459.1008 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We calculate by a new way the two point function on the boundary of AdS
spacetime in 1+2 dimensions for the massless conformal real scalar field. The
result agrees with the answer provided by the Boundary-limit Holography and
Witten recipe. This is done in Poincar\'{e} coordinates. The basic ingredients
of this new method are conformal techniques, quantum fields defined on a half
of Minkowski spacetime and a limit inspired by the Boundary-limit Holography.
We also show that a state in AdS, the global vacuum, in three dimensions
induces a state on the conformal boundary of AdS spacetime, which in turn
induces a state on the BTZ black hole. On the other hand the same state in AdS
induces a state on the BTZ black hole which in turn induces a state on its
conformal boundary. The two ways of getting the state on the conformal boundary
of the BTZ black hole coincide for the massless conformal real scalar field. We
point out that the normalizable modes in the AdS/CFT correspondence for the BTZ
black hole give a similar contribution as the non-normalizable modes used in
the Witten prescription. We also give some clues on why the Witten and the
Boundary-limit Holography prescription coincide.
| [
{
"created": "Tue, 9 Jul 2013 16:28:48 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Aug 2013 16:10:47 GMT",
"version": "v2"
}
] | 2021-12-28 | [
[
"Ortíz",
"L.",
""
]
] | We calculate by a new way the two point function on the boundary of AdS spacetime in 1+2 dimensions for the massless conformal real scalar field. The result agrees with the answer provided by the Boundary-limit Holography and Witten recipe. This is done in Poincar\'{e} coordinates. The basic ingredients of this new method are conformal techniques, quantum fields defined on a half of Minkowski spacetime and a limit inspired by the Boundary-limit Holography. We also show that a state in AdS, the global vacuum, in three dimensions induces a state on the conformal boundary of AdS spacetime, which in turn induces a state on the BTZ black hole. On the other hand the same state in AdS induces a state on the BTZ black hole which in turn induces a state on its conformal boundary. The two ways of getting the state on the conformal boundary of the BTZ black hole coincide for the massless conformal real scalar field. We point out that the normalizable modes in the AdS/CFT correspondence for the BTZ black hole give a similar contribution as the non-normalizable modes used in the Witten prescription. We also give some clues on why the Witten and the Boundary-limit Holography prescription coincide. |
hep-th/0306194 | Jose' P. S. Lemos | Oscar J. C. Dias, Jose' P. S. Lemos | The extremal limits of the C-metric: Nariai, Bertotti-Robinson and
anti-Nariai C-metrics | null | Phys.Rev. D68 (2003) 104010 | 10.1103/PhysRevD.68.104010 | null | hep-th gr-qc | null | In two previous papers we have analyzed the C-metric in a background with a
cosmological constant, namely the de Sitter (dS) C-metric, and the anti-de
Sitter (AdS) C-metric, following the work of Kinnersley and Walker for the flat
C-metric. These exact solutions describe a pair of accelerated black holes in
the flat or cosmological constant background, with the acceleration A being
provided by a strut in-between that pushes away the two black holes. In this
paper we analyze the extremal limits of the C-metric in a background with
generic cosmological constant. We follow a procedure first introduced by
Ginsparg and Perry in which the Nariai solution, a spacetime which is the
direct topological product of the 2-dimensional dS and a 2-sphere, is generated
from the four-dimensional dS-Schwarzschild solution by taking an appropriate
limit, where the black hole event horizon approaches the cosmological horizon.
Similarly, one can generate the Bertotti-Robinson metric from the
Reissner-Nordstrom metric by taking the limit of the Cauchy horizon going into
the event horizon of the black hole, as well as the anti-Nariai by taking an
appropriate solution and limit. Using these methods we generate the C-metric
counterparts of the Nariai, Bertotti-Robinson and anti-Nariai solutions, among
others. One expects that the solutions found in this paper are unstable and
decay into a slightly non-extreme black hole pair accelerated by a strut or by
strings. Moreover, the Euclidean version of these solutions mediate the quantum
process of black hole pair creation, that accompanies the decay of the dS and
AdS spaces.
| [
{
"created": "Thu, 19 Jun 2003 23:16:24 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Jun 2003 20:53:07 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Dias",
"Oscar J. C.",
""
],
[
"Lemos",
"Jose' P. S.",
""
]
] | In two previous papers we have analyzed the C-metric in a background with a cosmological constant, namely the de Sitter (dS) C-metric, and the anti-de Sitter (AdS) C-metric, following the work of Kinnersley and Walker for the flat C-metric. These exact solutions describe a pair of accelerated black holes in the flat or cosmological constant background, with the acceleration A being provided by a strut in-between that pushes away the two black holes. In this paper we analyze the extremal limits of the C-metric in a background with generic cosmological constant. We follow a procedure first introduced by Ginsparg and Perry in which the Nariai solution, a spacetime which is the direct topological product of the 2-dimensional dS and a 2-sphere, is generated from the four-dimensional dS-Schwarzschild solution by taking an appropriate limit, where the black hole event horizon approaches the cosmological horizon. Similarly, one can generate the Bertotti-Robinson metric from the Reissner-Nordstrom metric by taking the limit of the Cauchy horizon going into the event horizon of the black hole, as well as the anti-Nariai by taking an appropriate solution and limit. Using these methods we generate the C-metric counterparts of the Nariai, Bertotti-Robinson and anti-Nariai solutions, among others. One expects that the solutions found in this paper are unstable and decay into a slightly non-extreme black hole pair accelerated by a strut or by strings. Moreover, the Euclidean version of these solutions mediate the quantum process of black hole pair creation, that accompanies the decay of the dS and AdS spaces. |
hep-th/0612303 | Patricio Gaete | Patricio Gaete and Iv\'an Schmidt | Remarks on Axion-like models | 7 pages | null | null | USM-TH-202 | hep-th | null | For a recently proposed alternative to the traditional axion model, we study
its long distance behavior, in particular the confinement versus screening
issue, and show that a compactified version of this theory can be further
mapped into the massive Schwinger model. Our calculation is based on the
gauge-invariant but path-dependent variables formalism. This result agrees
qualitatively with the usual axion model.
| [
{
"created": "Fri, 29 Dec 2006 18:15:22 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Gaete",
"Patricio",
""
],
[
"Schmidt",
"Iván",
""
]
] | For a recently proposed alternative to the traditional axion model, we study its long distance behavior, in particular the confinement versus screening issue, and show that a compactified version of this theory can be further mapped into the massive Schwinger model. Our calculation is based on the gauge-invariant but path-dependent variables formalism. This result agrees qualitatively with the usual axion model. |
hep-th/9411112 | Rinat Kedem | M. Jimbo, R. Kedem, T. Kojima, H. Konno and T. Miwa | XXZ chain with a boundary | LaTeX 38 pages, 3 figures; epsf, epic, eepic. (Minor changes in text,
and references added) | Nucl.Phys. B441 (1995) 437-470 | 10.1016/0550-3213(95)00062-W | null | hep-th | null | The $\XXZ$ spin chain with a boundary magnetic field $h$ is considered, using
the vertex operator approach to diagonalize the Hamiltonian. We find explicit
bosonic formulas for the two vacuum vectors with zero particle content. There
are three distinct regions when $h\geq0$, in which the structure of the vacuum
states is different. Excited states are given by the action of vertex operators
on the vacuum states. We derive the boundary $S$-matrix and present an integral
formula for the correlation functions. The boundary magnetization exhibits
boundary hysteresis. We also discuss the rational limit, the $\XXX$ model.
| [
{
"created": "Wed, 16 Nov 1994 10:12:49 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Nov 1994 02:07:27 GMT",
"version": "v2"
},
{
"created": "Thu, 1 Dec 1994 03:38:06 GMT",
"version": "v3"
}
] | 2009-10-28 | [
[
"Jimbo",
"M.",
""
],
[
"Kedem",
"R.",
""
],
[
"Kojima",
"T.",
""
],
[
"Konno",
"H.",
""
],
[
"Miwa",
"T.",
""
]
] | The $\XXZ$ spin chain with a boundary magnetic field $h$ is considered, using the vertex operator approach to diagonalize the Hamiltonian. We find explicit bosonic formulas for the two vacuum vectors with zero particle content. There are three distinct regions when $h\geq0$, in which the structure of the vacuum states is different. Excited states are given by the action of vertex operators on the vacuum states. We derive the boundary $S$-matrix and present an integral formula for the correlation functions. The boundary magnetization exhibits boundary hysteresis. We also discuss the rational limit, the $\XXX$ model. |
2202.05117 | Michael M\"uller | Axel Maas, Markus Markl, Michael M\"uller | Exploratory applications of the Fr\"ohlich-Morchio-Strocchi mechanism in
quantum gravity | 27 pages | Phys. Rev. D 107, 025013 (2023) | 10.1103/PhysRevD.107.025013 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | A manifestly diffeomorphism-invariant approach to canonical quantum gravity
requires to use composite operators. These can be considered to be bound states
of matter and/or gravitons, intrinsically non-perturbative objects. An
analytical approach to determine the properties of such bound states could be
the Fr\"ohlich-Morchio-Strocchi mechanism. We explore the necessary technology
by applying it to various $n$-point functions, including geon propagators and
black-hole-particle vertices.
| [
{
"created": "Thu, 10 Feb 2022 16:06:53 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Jan 2023 10:23:39 GMT",
"version": "v2"
}
] | 2023-02-15 | [
[
"Maas",
"Axel",
""
],
[
"Markl",
"Markus",
""
],
[
"Müller",
"Michael",
""
]
] | A manifestly diffeomorphism-invariant approach to canonical quantum gravity requires to use composite operators. These can be considered to be bound states of matter and/or gravitons, intrinsically non-perturbative objects. An analytical approach to determine the properties of such bound states could be the Fr\"ohlich-Morchio-Strocchi mechanism. We explore the necessary technology by applying it to various $n$-point functions, including geon propagators and black-hole-particle vertices. |
0810.4193 | Wei Fang | Wei Fang, Ying Li, Kai Zhang, Hui-Qing Lu | Exact Analysis of Scaling and Dominant Attractors Beyond the Exponential
Potential | 16 pages,no figure, this new revision has taken the suggestions from
CQG referees and has been accepted for publication in Classical and Quantum
Gravity | Class.Quant.Grav.26:155005,2009 | 10.1088/0264-9381/26/15/155005 | null | hep-th astro-ph gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | By considering the potential parameter $\Gamma$ as a function of another
potential parameter $\lambda$[47], We successfully extend the analysis of
two-dimensional autonomous dynamical system of quintessence scalar field model
to the analysis of three-dimension, which makes us be able to research the
critical points of a large number of potentials beyond the exponential
potential exactly. We find that there are ten critical points in all, three
points $P_{3, 5, 6}$} are general points which are possessed by all
quintessence models regardless of the form of potentials and the rest points
are closely connected to the concrete potentials. It is quite surprising that,
apart from the exponential potential, there are a large number of potentials
which can give the scaling solution when the function
$f(\lambda)(=\Gamma(\lambda)-1)$ equals zero for one or some values of
$\lambda_{*}$ and if the parameter $\lambda_{*}$ also satisfies the condition
Eq.(16) or Eq.(17) at the same time. We give the differential equations to
derive these potentials $V(\phi)$ from $f(\lambda)$. We also find that, if some
conditions are satisfied, the de-Sitter-like dominant point $P_4$ and the
scaling solution point $P_9$(or $P_{10}$) can be stable simultaneously but
$P_9$ and $P_{10}$ can not be stable simultaneity. Although we survey scaling
solutions beyond the exponential potential for ordinary quintessence models in
standard general relativity, this method can be applied to other extensively
scaling solution models studied in literature[46] including coupled
quintessence, (coupled-)phantom scalar field, k-essence and even beyond the
general relativity case $H^2 \propto\rho_T^n$. we also discuss the disadvantage
of our approach.
| [
{
"created": "Thu, 23 Oct 2008 01:15:23 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Feb 2009 10:42:19 GMT",
"version": "v2"
},
{
"created": "Sat, 20 Jun 2009 13:01:31 GMT",
"version": "v3"
}
] | 2009-07-22 | [
[
"Fang",
"Wei",
""
],
[
"Li",
"Ying",
""
],
[
"Zhang",
"Kai",
""
],
[
"Lu",
"Hui-Qing",
""
]
] | By considering the potential parameter $\Gamma$ as a function of another potential parameter $\lambda$[47], We successfully extend the analysis of two-dimensional autonomous dynamical system of quintessence scalar field model to the analysis of three-dimension, which makes us be able to research the critical points of a large number of potentials beyond the exponential potential exactly. We find that there are ten critical points in all, three points $P_{3, 5, 6}$} are general points which are possessed by all quintessence models regardless of the form of potentials and the rest points are closely connected to the concrete potentials. It is quite surprising that, apart from the exponential potential, there are a large number of potentials which can give the scaling solution when the function $f(\lambda)(=\Gamma(\lambda)-1)$ equals zero for one or some values of $\lambda_{*}$ and if the parameter $\lambda_{*}$ also satisfies the condition Eq.(16) or Eq.(17) at the same time. We give the differential equations to derive these potentials $V(\phi)$ from $f(\lambda)$. We also find that, if some conditions are satisfied, the de-Sitter-like dominant point $P_4$ and the scaling solution point $P_9$(or $P_{10}$) can be stable simultaneously but $P_9$ and $P_{10}$ can not be stable simultaneity. Although we survey scaling solutions beyond the exponential potential for ordinary quintessence models in standard general relativity, this method can be applied to other extensively scaling solution models studied in literature[46] including coupled quintessence, (coupled-)phantom scalar field, k-essence and even beyond the general relativity case $H^2 \propto\rho_T^n$. we also discuss the disadvantage of our approach. |
1505.04957 | Per Sundell | Nicolas Boulanger, Ergin Sezgin and Per Sundell | 4D Higher Spin Gravity with Dynamical Two-Form as a
Frobenius--Chern--Simons Gauge Theory | 50 pages; v2: 44 pages. Higher spin algebra extended to include inner
Klein operators. Appendix A dropped. Trace operation modified and Z_2
projection on the base manifold removed. Comparison with Vasiliev's theory is
made precise. Perturbation expansion in holomorphic gauge removed for an
expanded treatment in a separate publication. The presentation is somewhat
reorganized | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide an off-shell formulation of four-dimensional higher spin gravity
based on a covariant Hamiltonian action on an open nine-dimensional Poisson
manifold whose boundary consists of the direct product of spacetime and a
noncommutative twistor space of S^2 x S^2 topology. The fundamental field is a
superconnection consisting of even and odd differential forms valued in the odd
and even sectors of a 3-graded associative algebra given by the direct product
of an eight-dimensional Frobenius algebra and a higher spin algebra extended by
inner Klein operators. The superconnection consists of two one-forms gauging
the one-sided actions of the higher spin algebra, two bi-fundamental real forms
given by the Weyl zero-form and a new dynamical two-form, an additional set of
forms providing a maximal duality extension, and, finally, the Lagrange
multipliers required for the covariant Hamiltonian action. In a particular
two-form background, the model yields Vasiliev's recently proposed extended
higher spin gravity equations, whose interaction terms are accounted for by de
Rham closed globally defined forms arising in the dynamical two-form.
| [
{
"created": "Tue, 19 May 2015 11:38:53 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Mar 2016 22:55:49 GMT",
"version": "v2"
}
] | 2016-03-29 | [
[
"Boulanger",
"Nicolas",
""
],
[
"Sezgin",
"Ergin",
""
],
[
"Sundell",
"Per",
""
]
] | We provide an off-shell formulation of four-dimensional higher spin gravity based on a covariant Hamiltonian action on an open nine-dimensional Poisson manifold whose boundary consists of the direct product of spacetime and a noncommutative twistor space of S^2 x S^2 topology. The fundamental field is a superconnection consisting of even and odd differential forms valued in the odd and even sectors of a 3-graded associative algebra given by the direct product of an eight-dimensional Frobenius algebra and a higher spin algebra extended by inner Klein operators. The superconnection consists of two one-forms gauging the one-sided actions of the higher spin algebra, two bi-fundamental real forms given by the Weyl zero-form and a new dynamical two-form, an additional set of forms providing a maximal duality extension, and, finally, the Lagrange multipliers required for the covariant Hamiltonian action. In a particular two-form background, the model yields Vasiliev's recently proposed extended higher spin gravity equations, whose interaction terms are accounted for by de Rham closed globally defined forms arising in the dynamical two-form. |
1501.05804 | Eugenio R. Bezerra de Mello | Ant\^onio de P\'adua Santos and Eug\^enio R. Bezerra de Mello | Gravitating non-Abelian cosmic strings | 12 pages, 7 figures | Class. Quantum Grav. 32 (2015) 155001 | 10.1088/0264-9381/32/15/155001 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we study regular cosmic string solutions of the non-Abelian
Higgs model coupled with the Einstein gravity. In order to do that, we
constructed a set of coupled differential ordinary equation. Because there is
no closed solution for this set of equations, we solve it numerically. The
solutions that we are interested in asymptote to a flat space-time with a
planar angle deficit. This model under consideration present two bosonic
sectors, besides the non-Abelian gauge one, coupled minimally with the
gravitational fields. The two bosonic sectors may present a direct coupling,
which plays an important role on the behavior of the matter and gauge fields
and also on the behavior on the geometry of the spacetime. We explicitly
analyze the behaviors of the energy density and planar angle deficit as
function of the energy scale where the gauge symmetry is spontaneously broken
and the coupling interaction between the bosonic sectors.
| [
{
"created": "Fri, 23 Jan 2015 14:04:28 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Jan 2015 13:26:55 GMT",
"version": "v2"
}
] | 2015-07-08 | [
[
"Santos",
"Antônio de Pádua",
""
],
[
"de Mello",
"Eugênio R. Bezerra",
""
]
] | In this paper we study regular cosmic string solutions of the non-Abelian Higgs model coupled with the Einstein gravity. In order to do that, we constructed a set of coupled differential ordinary equation. Because there is no closed solution for this set of equations, we solve it numerically. The solutions that we are interested in asymptote to a flat space-time with a planar angle deficit. This model under consideration present two bosonic sectors, besides the non-Abelian gauge one, coupled minimally with the gravitational fields. The two bosonic sectors may present a direct coupling, which plays an important role on the behavior of the matter and gauge fields and also on the behavior on the geometry of the spacetime. We explicitly analyze the behaviors of the energy density and planar angle deficit as function of the energy scale where the gauge symmetry is spontaneously broken and the coupling interaction between the bosonic sectors. |
hep-th/0005177 | Vic Dannon | Robert Y. Levin and Victor Dannon | Entangled Simultaneous Measurement and Elementary Particle
Representations | 21 pages, 2 figures. Please direct correspondence to R. Y. Levine,
bob@spectral.com | null | null | null | hep-th | null | We propose that the principles of relativistic quantum mechanics are
incomplete for simultaneous measurement of non-commuting operators. Consistent
joint measurement of incompatible observables at a single point in space-time
requires that the system be in an entangled state with vacuum meters. We
suggest that entagled simultaneous mesurement for noncommuting observables is
the basis for the observed fermionic multiplets. This generalizes the standard
spin representations for particles arising from Lorentz invariance. We show
that operator entanglement for all quantum observables in the Poincare algebra,
coupled with Fermi-Dirac statistics, mandates six fermions. We propose that the
quark and lepton generations form a super-structure of the Poincare algebra
based on the principles of entangled simultaneity. Mathematically, that
super-structure is known as a Naimark extension. The required entanglement
between particle generations for left-handed quarks is observed in the
Cabbibo-Kobayashi-maskawa matrix. We show that the Naimark-extended von Neumann
lattice is ditributive, thereby suggesting the principle of entangled
simultaneity as a mechanism to avoid quantum non-locality. Keywords: enatangled
simultaneous quantum measurement, Naimark extension, Lepton/quark generations.
PACS Number: 03.65.BZ
| [
{
"created": "Fri, 19 May 2000 09:15:13 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Levin",
"Robert Y.",
""
],
[
"Dannon",
"Victor",
""
]
] | We propose that the principles of relativistic quantum mechanics are incomplete for simultaneous measurement of non-commuting operators. Consistent joint measurement of incompatible observables at a single point in space-time requires that the system be in an entangled state with vacuum meters. We suggest that entagled simultaneous mesurement for noncommuting observables is the basis for the observed fermionic multiplets. This generalizes the standard spin representations for particles arising from Lorentz invariance. We show that operator entanglement for all quantum observables in the Poincare algebra, coupled with Fermi-Dirac statistics, mandates six fermions. We propose that the quark and lepton generations form a super-structure of the Poincare algebra based on the principles of entangled simultaneity. Mathematically, that super-structure is known as a Naimark extension. The required entanglement between particle generations for left-handed quarks is observed in the Cabbibo-Kobayashi-maskawa matrix. We show that the Naimark-extended von Neumann lattice is ditributive, thereby suggesting the principle of entangled simultaneity as a mechanism to avoid quantum non-locality. Keywords: enatangled simultaneous quantum measurement, Naimark extension, Lepton/quark generations. PACS Number: 03.65.BZ |
hep-th/9504090 | Andy Strominger | Andrew Strominger | Massless Black Holes and Conifolds in String Theory | 15 pages, harvmac | Nucl.Phys.B451:96-108,1995 | 10.1016/0550-3213(95)00287-3 | null | hep-th | null | Low-energy effective field theories arising from Calabi-Yau string
compactifications are generically inconsistent or ill-defined at the classical
level because of conifold singularities in the moduli space. It is shown, given
a plausible assumption on the degeneracies of black hole states, that for type
II theories this inconsistency can be cured by nonperturbative quantum effects:
the singularities are resolved by the appearance of massless Ramond-Ramond
black holes. The Wilsonian effective action including these light black holes
is smooth near the conifold, and the singularity is reproduced when they are
integrated out. In order for a quantum effect to cure a classical
inconsistency, it can not be suppressed by the usual string coupling $g_s$. It
is shown how the required $g_s$ dependence arises as a result of the peculiar
couplings of Ramond-Ramond gauge fields to the dilaton.
| [
{
"created": "Tue, 18 Apr 1995 19:06:53 GMT",
"version": "v1"
}
] | 2009-09-17 | [
[
"Strominger",
"Andrew",
""
]
] | Low-energy effective field theories arising from Calabi-Yau string compactifications are generically inconsistent or ill-defined at the classical level because of conifold singularities in the moduli space. It is shown, given a plausible assumption on the degeneracies of black hole states, that for type II theories this inconsistency can be cured by nonperturbative quantum effects: the singularities are resolved by the appearance of massless Ramond-Ramond black holes. The Wilsonian effective action including these light black holes is smooth near the conifold, and the singularity is reproduced when they are integrated out. In order for a quantum effect to cure a classical inconsistency, it can not be suppressed by the usual string coupling $g_s$. It is shown how the required $g_s$ dependence arises as a result of the peculiar couplings of Ramond-Ramond gauge fields to the dilaton. |
2101.11781 | Efra\'in Rojas Marcial | Alejandro Aguilar-Salas and Efra\'in Rojas | Hamilton-Jacobi approach for linearly acceleration-dependent Lagrangians | 15 pages, no figures | null | 10.1016/j.aop.2021.168507 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop a constructive procedure for arriving at the Hamilton-Jacobi
framework for the so-called affine in acceleration theories by analysing the
canonical constraint structure. We find two scenarios in dependence of the
order of the emerging equations of motion. By properly defining generalized
brackets, the non-involutive constraints that originally arose, in both
scenarios, may be removed so that the resulting involutive Hamiltonian
constraints ensure integrability of the theories and, at the same time, lead to
the right dynamics in the reduced phase space. In particular, when we have
second-order in derivatives equations of motion we are able to detect the gauge
invariant sector of the theory by using a suitable approach based on the
projection of the Hamiltonians onto the tangential and normal directions of the
congruence of curves in the configuration space. Regarding this, we also
explore the generators of canonical and gauge transformations of these
theories. Further, we briefly outline how to determine the Hamilton principal
function $S$ for some particular setups. We apply our findings to some
representative theories: a Chern-Simons-like theory in $(2+1)$-dim, an harmonic
oscillator in $2D$ and, the geodetic brane cosmology emerging in the context of
extra dimensions.
| [
{
"created": "Thu, 28 Jan 2021 02:31:30 GMT",
"version": "v1"
}
] | 2021-06-30 | [
[
"Aguilar-Salas",
"Alejandro",
""
],
[
"Rojas",
"Efraín",
""
]
] | We develop a constructive procedure for arriving at the Hamilton-Jacobi framework for the so-called affine in acceleration theories by analysing the canonical constraint structure. We find two scenarios in dependence of the order of the emerging equations of motion. By properly defining generalized brackets, the non-involutive constraints that originally arose, in both scenarios, may be removed so that the resulting involutive Hamiltonian constraints ensure integrability of the theories and, at the same time, lead to the right dynamics in the reduced phase space. In particular, when we have second-order in derivatives equations of motion we are able to detect the gauge invariant sector of the theory by using a suitable approach based on the projection of the Hamiltonians onto the tangential and normal directions of the congruence of curves in the configuration space. Regarding this, we also explore the generators of canonical and gauge transformations of these theories. Further, we briefly outline how to determine the Hamilton principal function $S$ for some particular setups. We apply our findings to some representative theories: a Chern-Simons-like theory in $(2+1)$-dim, an harmonic oscillator in $2D$ and, the geodetic brane cosmology emerging in the context of extra dimensions. |
hep-th/9511005 | Carlos Aragao | C.A.A. de Carvalho and R.M. Cavalcanti | Tunnelings as Catastrophes | 5 pages, revtex, 5 figures, uuencoded tar-compressed | null | null | null | hep-th cond-mat | null | We use path-integrals to derive a general expression for the semiclassical
approximation to the partition function of a one-dimensional quantum-mechanical
system. Our expression depends solely on ordinary integrals which involve the
potential. For high temperatures, the semiclassical expression is dominated by
single closed paths. As we lower the temperature, new closed paths appear,
including tunneling paths. The transition from single to multiple-path regime
corresponds to well-defined catastrophes. Tunneling sets in whenever they
occur. (Our formula fully accounts for this feature.)
| [
{
"created": "Wed, 1 Nov 1995 17:07:32 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Nov 1995 15:14:14 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"de Carvalho",
"C. A. A.",
""
],
[
"Cavalcanti",
"R. M.",
""
]
] | We use path-integrals to derive a general expression for the semiclassical approximation to the partition function of a one-dimensional quantum-mechanical system. Our expression depends solely on ordinary integrals which involve the potential. For high temperatures, the semiclassical expression is dominated by single closed paths. As we lower the temperature, new closed paths appear, including tunneling paths. The transition from single to multiple-path regime corresponds to well-defined catastrophes. Tunneling sets in whenever they occur. (Our formula fully accounts for this feature.) |
1007.1795 | Hyun Seok Yang | Hyun Seok Yang | Emergent Geometry and Quantum Gravity | Invited Review for Mod. Phys. Lett. A, 17 pages | Mod.Phys.Lett.A25:2381-2397,2010 | 10.1142/S0217732310034067 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explain how quantum gravity can be defined by quantizing spacetime itself.
A pinpoint is that the gravitational constant G = L_P^2 whose physical
dimension is of (length)^2 in natural unit introduces a symplectic structure of
spacetime which causes a noncommutative spacetime at the Planck scale L_P. The
symplectic structure of spacetime M leads to an isomorphism between symplectic
geometry (M, \omega) and Riemannian geometry (M, g) where the deformations of
symplectic structure \omega in terms of electromagnetic fields F=dA are
transformed into those of Riemannian metric g. This approach for quantum
gravity allows a background independent formulation where spacetime as well as
matter fields is equally emergent from a universal vacuum of quantum gravity
which is thus dubbed as the quantum equivalence principle.
| [
{
"created": "Sun, 11 Jul 2010 19:40:44 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Aug 2010 04:00:48 GMT",
"version": "v2"
}
] | 2014-11-21 | [
[
"Yang",
"Hyun Seok",
""
]
] | We explain how quantum gravity can be defined by quantizing spacetime itself. A pinpoint is that the gravitational constant G = L_P^2 whose physical dimension is of (length)^2 in natural unit introduces a symplectic structure of spacetime which causes a noncommutative spacetime at the Planck scale L_P. The symplectic structure of spacetime M leads to an isomorphism between symplectic geometry (M, \omega) and Riemannian geometry (M, g) where the deformations of symplectic structure \omega in terms of electromagnetic fields F=dA are transformed into those of Riemannian metric g. This approach for quantum gravity allows a background independent formulation where spacetime as well as matter fields is equally emergent from a universal vacuum of quantum gravity which is thus dubbed as the quantum equivalence principle. |
0801.4154 | Volker Braun | Volker Braun, Maximilian Kreuzer, Burt A. Ovrut, Emanuel Scheidegger | Worldsheet Instantons and Torsion Curves | 9 pages. To appear in the proceedings of the first Sowers Theoretical
Physics workshop, Virginia Tech, May 2007 | null | null | null | hep-th | null | We study aspects of worldsheet instantons relevant to a heterotic standard
model. The non-simply connected Calabi-Yau threefold used admits Z_3 x Z_3
Wilson lines, and a more detailed investigation shows that the homology classes
of curves are H_2(X,Z)=Z^3+Z_3+Z_3. We compute the genus-0 prepotential, this
is the first explicit calculation of the Gromov-Witten invariants of homology
classes with torsion (finite subgroups). In particular, some curve classes
contain only a single instanton. This ensures that the Beasley-Witten
cancellation of instanton contributions cannot happen on this (non-toric)
Calabi-Yau threefold.
| [
{
"created": "Sun, 27 Jan 2008 20:39:40 GMT",
"version": "v1"
}
] | 2008-01-29 | [
[
"Braun",
"Volker",
""
],
[
"Kreuzer",
"Maximilian",
""
],
[
"Ovrut",
"Burt A.",
""
],
[
"Scheidegger",
"Emanuel",
""
]
] | We study aspects of worldsheet instantons relevant to a heterotic standard model. The non-simply connected Calabi-Yau threefold used admits Z_3 x Z_3 Wilson lines, and a more detailed investigation shows that the homology classes of curves are H_2(X,Z)=Z^3+Z_3+Z_3. We compute the genus-0 prepotential, this is the first explicit calculation of the Gromov-Witten invariants of homology classes with torsion (finite subgroups). In particular, some curve classes contain only a single instanton. This ensures that the Beasley-Witten cancellation of instanton contributions cannot happen on this (non-toric) Calabi-Yau threefold. |
hep-th/9510010 | Oh Choo Hiap | L.C. Kwek, C.H. Oh, K. Singh, K.Y. Wee | Two-State Spectral-Free Solutions of Frenkel-Moore Simplex Equation | LaTeX file. Require macros: cite.sty and subeqnarray.sty to process.
To appear in J. Phys. A: Math. and Gen | J.Phys. A28 (1995) 6877-6886 | 10.1088/0305-4470/28/23/028 | null | hep-th math.QA q-alg | null | Whilst many solutions have been found for the Quantum Yang-Baxter Equation
(QYBE), there are fewer known solutions available for its higher dimensional
generalizations: Zamolodchikov's tetrahedron equation (ZTE) and Frenkel and
Moore's simplex equation (FME). In this paper, we present families of solutions
to FME which may help us to understand more about higher dimensional
generalization of QYBE.
| [
{
"created": "Wed, 4 Oct 1995 04:54:46 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Kwek",
"L. C.",
""
],
[
"Oh",
"C. H.",
""
],
[
"Singh",
"K.",
""
],
[
"Wee",
"K. Y.",
""
]
] | Whilst many solutions have been found for the Quantum Yang-Baxter Equation (QYBE), there are fewer known solutions available for its higher dimensional generalizations: Zamolodchikov's tetrahedron equation (ZTE) and Frenkel and Moore's simplex equation (FME). In this paper, we present families of solutions to FME which may help us to understand more about higher dimensional generalization of QYBE. |
2008.01743 | Srimoyee Sen | Srimoyee Sen | Chern insulator transitions with Wilson fermions on a hyperrectangular
lattice | 28 pages, 9 figures, references updated | null | 10.1103/PhysRevD.102.094520 | null | hep-th cond-mat.mes-hall hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A $U(1)$ gauge theory coupled to a Wilson fermion on a $2+1$ dimensional
cubic lattice is known to exhibit Chern insulator like topological transitions
as a function of the the ratio $M/R$ where $M$ is the fermion mass and $R$ is
the Wilson parameter. I show that, with $M$ and $R$ held fixed, a rectangular
lattice with anisotropic lattice spacing can exhibit distinct topological
phases as a function of the lattice anisotropy. As a consequence, a $2+1$
dimensional lattice theory without any domain wall in the fermion mass can
still exhibit chiral edge modes on a $1+1$ dimensional defect across which
lattice spacing changes abruptly. Likewise, a domain wall in the fermion mass
on a uniform rectangular lattice can exhibit discrete changes in the number and
chirality of zero modes as a function of lattice anisotropy. The construction
presented in this paper can be generalized to higher dimensional space-time
lattices.
| [
{
"created": "Tue, 4 Aug 2020 18:01:03 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Aug 2020 20:33:00 GMT",
"version": "v2"
},
{
"created": "Tue, 18 Aug 2020 13:36:20 GMT",
"version": "v3"
}
] | 2020-12-30 | [
[
"Sen",
"Srimoyee",
""
]
] | A $U(1)$ gauge theory coupled to a Wilson fermion on a $2+1$ dimensional cubic lattice is known to exhibit Chern insulator like topological transitions as a function of the the ratio $M/R$ where $M$ is the fermion mass and $R$ is the Wilson parameter. I show that, with $M$ and $R$ held fixed, a rectangular lattice with anisotropic lattice spacing can exhibit distinct topological phases as a function of the lattice anisotropy. As a consequence, a $2+1$ dimensional lattice theory without any domain wall in the fermion mass can still exhibit chiral edge modes on a $1+1$ dimensional defect across which lattice spacing changes abruptly. Likewise, a domain wall in the fermion mass on a uniform rectangular lattice can exhibit discrete changes in the number and chirality of zero modes as a function of lattice anisotropy. The construction presented in this paper can be generalized to higher dimensional space-time lattices. |
1104.3579 | Sergey Sibiryakov | D. Blas, S. Sibiryakov | Technically natural dark energy from Lorentz breaking | A few equations in the Appendix corrected | JCAP 1107:026,2011 | 10.1088/1475-7516/2011/07/026 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a model of dark energy with a technically natural small
contribution to cosmic acceleration, i.e. this contribution does not receive
corrections from other scales in the theory. The proposed acceleration
mechanism appears generically in the low-energy limit of gravity theories with
violation of Lorentz invariance that contain a derivatively coupled scalar
field Theta. The latter may be the Goldstone field of a broken global symmetry.
The model, that we call Theta-CDM, is a valid effective field theory up to a
high cutoff just a few orders of magnitude below the Planck scale. Furthermore,
it can be ultraviolet-completed in the context of Horava gravity. We discuss
the observational predictions of the model. Even in the absence of a
cosmological constant term, the expansion history of the Universe is
essentially indistinguishable from that of Lambda-CDM. The difference between
the two theories appears at the level of cosmological perturbations. We find
that in Theta-CDM the matter power spectrum is enhanced at subhorizon scales
compared to Lambda-CDM. This property can be used to discriminate the model
from Lambda-CDM with current cosmological data.
| [
{
"created": "Mon, 18 Apr 2011 20:04:43 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Oct 2011 07:30:19 GMT",
"version": "v2"
},
{
"created": "Mon, 3 Sep 2012 18:28:43 GMT",
"version": "v3"
}
] | 2012-09-04 | [
[
"Blas",
"D.",
""
],
[
"Sibiryakov",
"S.",
""
]
] | We construct a model of dark energy with a technically natural small contribution to cosmic acceleration, i.e. this contribution does not receive corrections from other scales in the theory. The proposed acceleration mechanism appears generically in the low-energy limit of gravity theories with violation of Lorentz invariance that contain a derivatively coupled scalar field Theta. The latter may be the Goldstone field of a broken global symmetry. The model, that we call Theta-CDM, is a valid effective field theory up to a high cutoff just a few orders of magnitude below the Planck scale. Furthermore, it can be ultraviolet-completed in the context of Horava gravity. We discuss the observational predictions of the model. Even in the absence of a cosmological constant term, the expansion history of the Universe is essentially indistinguishable from that of Lambda-CDM. The difference between the two theories appears at the level of cosmological perturbations. We find that in Theta-CDM the matter power spectrum is enhanced at subhorizon scales compared to Lambda-CDM. This property can be used to discriminate the model from Lambda-CDM with current cosmological data. |
hep-th/0403059 | M. Meyer | S. Deser and A. Waldron | Stress and Strain: T^{\mu\nu} of Higher Spin Gauge Fields | 5 pages. Invited paper: 27th Johns Hopkins Workshop on Current
Problems in Particle Theory | null | null | BRX -TH 535 | hep-th gr-qc | null | We present some results concerning local currents, particularly the stress
tensors T^{\mu\nu}, of free higher (>1) spin gauge fields. While the T^{\mu\nu}
are known to be gauge variant, we can express them, at the cost of manifest
Lorentz invariance, solely in terms of (spatially nonlocal) gauge-invariant
field components, where the "scalar" and "spin" aspects of the systems can be
clearly separated. Using the fundamental commutators of these
transverse-traceless variables we verify the Poincare algebra among its
generators, constructed from the T^0_\mu and their moments. The relevance to
the interaction difficulties of higher spin systems is mentioned.
| [
{
"created": "Thu, 4 Mar 2004 18:28:13 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Deser",
"S.",
""
],
[
"Waldron",
"A.",
""
]
] | We present some results concerning local currents, particularly the stress tensors T^{\mu\nu}, of free higher (>1) spin gauge fields. While the T^{\mu\nu} are known to be gauge variant, we can express them, at the cost of manifest Lorentz invariance, solely in terms of (spatially nonlocal) gauge-invariant field components, where the "scalar" and "spin" aspects of the systems can be clearly separated. Using the fundamental commutators of these transverse-traceless variables we verify the Poincare algebra among its generators, constructed from the T^0_\mu and their moments. The relevance to the interaction difficulties of higher spin systems is mentioned. |
hep-th/0609080 | Bruce Hoeneisen | B. Hoeneisen | Trying to understand mass | 19 pages, 5 figures | null | null | null | hep-th | null | We try to understand how particles acquire mass in general, and in
particular, how they acquire mass in the standard model and beyond.
| [
{
"created": "Tue, 12 Sep 2006 15:20:35 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Hoeneisen",
"B.",
""
]
] | We try to understand how particles acquire mass in general, and in particular, how they acquire mass in the standard model and beyond. |
hep-th/0703118 | Yu. M. Zinoviev | Yu. M. Zinoviev | Massive supermultiplets with spin 3/2 | 19 pages, plain LaTeX, 1 LaTeX figure; new references added | JHEP 0705:092,2007 | 10.1088/1126-6708/2007/05/092 | null | hep-th | null | In this paper we construct massive supermultiplets out of appropriate set of
massless ones in the same way as massive spin s particle could be constructed
out of massless spin s,s-1,... ones leading to gauge invariant description of
massive particle. Mainly we consider massive spin 3/2 supermultiplets in a flat
d=4 Minkowski space both without central charge for N=1,2,3 as well as with
central charge for N=2,4. Besides, we give two examples of massive N=1
supermultiplets with spin 3/2 and 2 in AdS_4 space.
| [
{
"created": "Tue, 13 Mar 2007 07:59:00 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Mar 2007 10:29:52 GMT",
"version": "v2"
}
] | 2010-10-27 | [
[
"Zinoviev",
"Yu. M.",
""
]
] | In this paper we construct massive supermultiplets out of appropriate set of massless ones in the same way as massive spin s particle could be constructed out of massless spin s,s-1,... ones leading to gauge invariant description of massive particle. Mainly we consider massive spin 3/2 supermultiplets in a flat d=4 Minkowski space both without central charge for N=1,2,3 as well as with central charge for N=2,4. Besides, we give two examples of massive N=1 supermultiplets with spin 3/2 and 2 in AdS_4 space. |
hep-th/9403095 | Yelkhovsky A. S. | A.S. Yelkhovsky | Recoil Correction in the Dirac-Coulomb Problem | 7 pages, LaTeX, BudkerINP-94-27 | null | null | null | hep-th hep-ph | null | The expression for the first recoil correction to the Dirac-Coulomb spectrum
is obtained employing the gauge invariance.
| [
{
"created": "Thu, 17 Mar 1994 08:48:52 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Mar 1994 02:25:01 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Yelkhovsky",
"A. S.",
""
]
] | The expression for the first recoil correction to the Dirac-Coulomb spectrum is obtained employing the gauge invariance. |
2109.09914 | Ayan Mukhopadhyay | Tanay Kibe, Ayan Mukhopadhyay, and Pratik Roy | Quantum thermodynamics of holographic quenches and bounds on the growth
of entanglement from the QNEC | 5+6 pages, 2+5 figures; version to appear in PRL | null | 10.1103/PhysRevLett.128.191602 | null | hep-th gr-qc quant-ph | http://creativecommons.org/licenses/by/4.0/ | The quantum null energy condition (QNEC) is a lower bound on the
energy-momentum tensor in terms of the variation of the entanglement entropy of
a sub-region along a null direction. To gain insights into quantum
thermodynamics of many-body systems, we study if the QNEC restricts
irreversible entropy production in quenches driven by energy-momentum inflow
from an infinite memoryless bath in two-dimensional holographic theories. We
find that an increase in both entropy and temperature, as implied by the
Clausius inequality of classical thermodynamics, are necessary but not
sufficient to not violate QNEC in quenches leading to transitions between
thermal states with momentum which are dual to Banados-Teitelboim-Zanelli
geometries. For an arbitrary initial state, we can determine the lower and
upper bounds on the increase of entropy (temperature) for a fixed increase in
temperature (entropy). Our results provide explicit instances of quantum lower
and upper bounds on irreversible entropy production whose existence has been
established in literature. We also find monotonic behavior of the
non-saturation of the QNEC with time after a quench, and analytically determine
their asymptotic values. Our study shows that the entanglement entropy of an
interval of length $l$ always thermalizes in time $l/2$ with an exponent $3/2$.
Furthermore, we determine the coefficient of initial quadratic growth of
entanglement analytically for any $l$, and show that the slope of the
asymptotic ballistic growth of entanglement for a semi-infinite interval is
twice the difference of the entropy densities of the final and initial states.
We determine explicit upper and lower bounds on these rates of growth of
entanglement.
| [
{
"created": "Tue, 21 Sep 2021 01:59:41 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Sep 2021 05:41:50 GMT",
"version": "v2"
},
{
"created": "Sat, 23 Apr 2022 04:32:23 GMT",
"version": "v3"
}
] | 2022-05-11 | [
[
"Kibe",
"Tanay",
""
],
[
"Mukhopadhyay",
"Ayan",
""
],
[
"Roy",
"Pratik",
""
]
] | The quantum null energy condition (QNEC) is a lower bound on the energy-momentum tensor in terms of the variation of the entanglement entropy of a sub-region along a null direction. To gain insights into quantum thermodynamics of many-body systems, we study if the QNEC restricts irreversible entropy production in quenches driven by energy-momentum inflow from an infinite memoryless bath in two-dimensional holographic theories. We find that an increase in both entropy and temperature, as implied by the Clausius inequality of classical thermodynamics, are necessary but not sufficient to not violate QNEC in quenches leading to transitions between thermal states with momentum which are dual to Banados-Teitelboim-Zanelli geometries. For an arbitrary initial state, we can determine the lower and upper bounds on the increase of entropy (temperature) for a fixed increase in temperature (entropy). Our results provide explicit instances of quantum lower and upper bounds on irreversible entropy production whose existence has been established in literature. We also find monotonic behavior of the non-saturation of the QNEC with time after a quench, and analytically determine their asymptotic values. Our study shows that the entanglement entropy of an interval of length $l$ always thermalizes in time $l/2$ with an exponent $3/2$. Furthermore, we determine the coefficient of initial quadratic growth of entanglement analytically for any $l$, and show that the slope of the asymptotic ballistic growth of entanglement for a semi-infinite interval is twice the difference of the entropy densities of the final and initial states. We determine explicit upper and lower bounds on these rates of growth of entanglement. |
hep-th/0005196 | Shibusa Yuuichirou | Shibusa Yuuichirou | A component of superconnection of 11-dimensional curved superspace at
second order in anticommuting coordinates | 12pages,to be published in Prog. Theo. Phys | Prog.Theor.Phys. 104 (2000) 249-257 | null | null | hep-th | null | We calculate a component of connection superfields and Lorentz superparameter
at second order in anticommuting coordinates in terms of the component fields
of 11-dimensional on-shell supergravity by using `Gauge completion'. This
configuration of superspace holds the $\kappa $-symmetry for supermembrane
Lagrangian and represents 11-dimensional on-shell supergravity.
| [
{
"created": "Mon, 22 May 2000 04:43:10 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Yuuichirou",
"Shibusa",
""
]
] | We calculate a component of connection superfields and Lorentz superparameter at second order in anticommuting coordinates in terms of the component fields of 11-dimensional on-shell supergravity by using `Gauge completion'. This configuration of superspace holds the $\kappa $-symmetry for supermembrane Lagrangian and represents 11-dimensional on-shell supergravity. |
hep-th/9908093 | Reza Tavakol | Reza Tavakol and George Ellis | On Holography and Cosmology | Submitted to Phys Lett B on 22 July 1999; 12 pages Latex, no figures | Phys.Lett. B469 (1999) 37-45 | 10.1016/S0370-2693(99)01269-1 | null | hep-th astro-ph gr-qc | null | We consider a recent generalisation by Bousso of an earlier holography
proposal by Fischler and Susskind. We demonstrate that in general inhomogeneous
universes such a proposal would involve extremely complicated - possibly
fractal - light sheets. Furthermore, in general such a light sheet cannot be
known a priori on the basis of theory and moreover, the evolution of the
universe makes it clear that in general such bounds cannot remain invariant
under time reversal and will change with epoch.
We propose a modified version of this proposal in which the light sheets end
on the boundary of the past, and hence avoid contact with the caustics. In this
way the resulting light sheets and projections can be made much simpler. We
discuss the question of operational definability of these sheets within the
context of both proposals and conclude that in both cases the theoretical
existence of such sheets must be clearly distinguished from their complexity
and the difficulty of their construction in practice. This puts into
perspective the likely practical difficulties one would face in applying the
holographic principle to the real cosmos. These issues may also be of relevance
in debates regarding the applications of the holographic principle to other
settings such as string theory.
| [
{
"created": "Fri, 13 Aug 1999 13:51:03 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Tavakol",
"Reza",
""
],
[
"Ellis",
"George",
""
]
] | We consider a recent generalisation by Bousso of an earlier holography proposal by Fischler and Susskind. We demonstrate that in general inhomogeneous universes such a proposal would involve extremely complicated - possibly fractal - light sheets. Furthermore, in general such a light sheet cannot be known a priori on the basis of theory and moreover, the evolution of the universe makes it clear that in general such bounds cannot remain invariant under time reversal and will change with epoch. We propose a modified version of this proposal in which the light sheets end on the boundary of the past, and hence avoid contact with the caustics. In this way the resulting light sheets and projections can be made much simpler. We discuss the question of operational definability of these sheets within the context of both proposals and conclude that in both cases the theoretical existence of such sheets must be clearly distinguished from their complexity and the difficulty of their construction in practice. This puts into perspective the likely practical difficulties one would face in applying the holographic principle to the real cosmos. These issues may also be of relevance in debates regarding the applications of the holographic principle to other settings such as string theory. |
0801.3188 | O-Kab Kwon | Akira Ishida, Yoonbai Kim, Chanju Kim, O-Kab Kwon | Lower Dimensional Branes in Boundary Conformal Field Theory | 5 pages | J.KoreanPhys.Soc.50:S36-S40,2007 | null | null | hep-th | null | In the presence of constant background electromagnetic fields, we discuss
three types of exactly marginal boundary tachyon operators for static kinks in
boundary conformal field theory. Functional forms of three operators are
hyperbolic sine, hyperbolic cosine, and exponential types, and they describe
codimension-one solitons when the transverse electric field has overcritical
value. The energy-momentum tensor and the source for antisymmetric tensor field
are computed in the path integral approach for the exponential-type tachyon
vertex operator.
| [
{
"created": "Mon, 21 Jan 2008 15:33:21 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Ishida",
"Akira",
""
],
[
"Kim",
"Yoonbai",
""
],
[
"Kim",
"Chanju",
""
],
[
"Kwon",
"O-Kab",
""
]
] | In the presence of constant background electromagnetic fields, we discuss three types of exactly marginal boundary tachyon operators for static kinks in boundary conformal field theory. Functional forms of three operators are hyperbolic sine, hyperbolic cosine, and exponential types, and they describe codimension-one solitons when the transverse electric field has overcritical value. The energy-momentum tensor and the source for antisymmetric tensor field are computed in the path integral approach for the exponential-type tachyon vertex operator. |
hep-th/9406103 | Siye Wu | Siye Wu | On the Mathai-Quillen Formalism of Topological Sigma Models | 12 pages, plain LaTeX | J.Geom.Phys. 17 (1995) 299-309 | 10.1016/0393-0440(94)00046-8 | null | hep-th | null | We present a Mathai-Quillen interpretation of topological sigma models. The
key to the construction is a natural connection in a suitable infinite
dimensional vector bundle over the space of maps from a Riemann surface (the
world sheet) to an almost complex manifold (the target). We show that the
covariant derivative of the section defined by the differential operator that
appears in the equation for pseudo-holomorphic curves is precisely the
linearization of the operator itself. We also discuss the Mathai-Quillen
formalism of gauged topological sigma models.
| [
{
"created": "Wed, 15 Jun 1994 19:33:33 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Wu",
"Siye",
""
]
] | We present a Mathai-Quillen interpretation of topological sigma models. The key to the construction is a natural connection in a suitable infinite dimensional vector bundle over the space of maps from a Riemann surface (the world sheet) to an almost complex manifold (the target). We show that the covariant derivative of the section defined by the differential operator that appears in the equation for pseudo-holomorphic curves is precisely the linearization of the operator itself. We also discuss the Mathai-Quillen formalism of gauged topological sigma models. |
1710.01553 | Xiao-Bao Xu | Shan-Quan Lan, Gu-Qiang Li, Jie-Xiong Mo, Xiao-Bao Xu | On the first law of entanglement for Quasi-Topological gravity | 18pages, no figures. A reference is added, the extended first law is
discussed in section 4 | null | 10.1007/s10714-018-2426-9 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The first law of entanglement has been used to obtain the linearized Einstein
equations of the holographic dual spacetimes. In the present paper, the first
law of entanglement in quasi-topological gravity is explicitly derived by using
the Iyer-Wald formalism. In addition, we investigate the extended first law of
entanglement for the special case in Quasi-Topological gravity.
| [
{
"created": "Wed, 4 Oct 2017 11:28:52 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Mar 2018 01:28:22 GMT",
"version": "v2"
}
] | 2018-08-22 | [
[
"Lan",
"Shan-Quan",
""
],
[
"Li",
"Gu-Qiang",
""
],
[
"Mo",
"Jie-Xiong",
""
],
[
"Xu",
"Xiao-Bao",
""
]
] | The first law of entanglement has been used to obtain the linearized Einstein equations of the holographic dual spacetimes. In the present paper, the first law of entanglement in quasi-topological gravity is explicitly derived by using the Iyer-Wald formalism. In addition, we investigate the extended first law of entanglement for the special case in Quasi-Topological gravity. |
hep-th/9412103 | null | Matti Pitk\"anen | p-Adic Field Theory limit of TGD is free of UV divergences | 22 pages,latex. Reason for revision:correction in the definition of
fermion propagator | null | null | null | hep-th | null | The p-adic description of Higgs mechanism in TGD framework provides excellent
predictions for elementary particle and hadrons masses (hep-th@xxx.lanl.gov
9410058-62). The gauge group of TGD is just the gauge group of the standard
model so that it makes sense to study the p-adic counterpart of the standard
model as a candidate for low energy effective theory. Momentum eigen states can
be constructed purely number theoretically and the infrared cutoff implied by
the finite size of the convergence cube of p-adic square root function leads to
momentum discretization. Discretization solves ultraviolet problems: the number
of momentum states associated with a fixed value of the propagator expression
in the loop is integer and has p-adic norm not larger than one so that the
contribution of momentum squared with p-adic norm $p^{k}$ converges as
$p^{-2k-2}$ for boson loop. The existence of the action exponential forces
number theoretically the decomposition into free and interacting parts. The
free part is of order $O(p^0)$ and must vanish (and does so by equations of
motion) and interaction part is at most of order $O(\sqrt{p})$ p-adically.
p-Adic coupling constants are of form $g\sqrt{p}$: their real counterparts are
obtained by canonical identification between p-adic and real numbers. The
discretized version of Feynmann rules of real theory should give S-matrix
elements but Feynmann rules guarantee unitarity in formal sense only. The
unexpected result is the upper bound $L_p=L_0/\sqrt{p}$ ($L_0\sim
10^4\sqrt{G}$) for the size of p-adic convergence cube from the cancellation of
infrared divergences so that p-adic field theory doesn't make sense above
length scale $L_p$.
| [
{
"created": "Mon, 12 Dec 1994 13:07:56 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Dec 1994 16:31:40 GMT",
"version": "v2"
},
{
"created": "Tue, 7 Feb 1995 08:18:31 GMT",
"version": "v3"
}
] | 2008-02-03 | [
[
"Pitkänen",
"Matti",
""
]
] | The p-adic description of Higgs mechanism in TGD framework provides excellent predictions for elementary particle and hadrons masses (hep-th@xxx.lanl.gov 9410058-62). The gauge group of TGD is just the gauge group of the standard model so that it makes sense to study the p-adic counterpart of the standard model as a candidate for low energy effective theory. Momentum eigen states can be constructed purely number theoretically and the infrared cutoff implied by the finite size of the convergence cube of p-adic square root function leads to momentum discretization. Discretization solves ultraviolet problems: the number of momentum states associated with a fixed value of the propagator expression in the loop is integer and has p-adic norm not larger than one so that the contribution of momentum squared with p-adic norm $p^{k}$ converges as $p^{-2k-2}$ for boson loop. The existence of the action exponential forces number theoretically the decomposition into free and interacting parts. The free part is of order $O(p^0)$ and must vanish (and does so by equations of motion) and interaction part is at most of order $O(\sqrt{p})$ p-adically. p-Adic coupling constants are of form $g\sqrt{p}$: their real counterparts are obtained by canonical identification between p-adic and real numbers. The discretized version of Feynmann rules of real theory should give S-matrix elements but Feynmann rules guarantee unitarity in formal sense only. The unexpected result is the upper bound $L_p=L_0/\sqrt{p}$ ($L_0\sim 10^4\sqrt{G}$) for the size of p-adic convergence cube from the cancellation of infrared divergences so that p-adic field theory doesn't make sense above length scale $L_p$. |
hep-th/9911133 | Pio Arias | Lorenzo Leal (Universidad Central de Venezuela) | Knot Invariants from Classical Field Theories | 7 pages, LaTeX. Talk delivered at the Spanish Relativity Meeting,
Bilbao, Spain, 1999 | null | null | UCVFC-DF/17-99 | hep-th | null | We consider the Non-Abelian Chern-Simons term coupled to external particles,
in a gauge and diffeomorphism invariant form. The classical equations of motion
are perturbativelly studied, and the on-shell action is shown to produce
knot-invariants associated with the sources. The first contributions are
explicitly calculated, and the corresponding knot-invariants are recognized. We
conclude that the interplay between Knot Theory and Topological Field Theories
is manifested not only at the quantum level, but in a classical context as
well.
| [
{
"created": "Wed, 17 Nov 1999 18:42:36 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Leal",
"Lorenzo",
"",
"Universidad Central de Venezuela"
]
] | We consider the Non-Abelian Chern-Simons term coupled to external particles, in a gauge and diffeomorphism invariant form. The classical equations of motion are perturbativelly studied, and the on-shell action is shown to produce knot-invariants associated with the sources. The first contributions are explicitly calculated, and the corresponding knot-invariants are recognized. We conclude that the interplay between Knot Theory and Topological Field Theories is manifested not only at the quantum level, but in a classical context as well. |
1205.1893 | Buisseret Fabien Dr | Yves Brihaye and Fabien Buisseret | Q-ball formation at the deconfinement temperature in large-$N_c$ QCD | 21 pages, 8 figures ; v2 matches the published version | Phys. Rev. D 87, 014020 (2013) | 10.1103/PhysRevD.87.014020 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The deconfinement phase transition in large-$N_c$ QCD is studied within the
framework of an effective Polyakov-loop model, where the potential has a U(1)
symmetry originating in the large-$N_c$ limit of a Z$_{N_c}$-symmetric model.
At the critical temperature, the shape of the effective potential allows the
existence of Q-balls as position-dependent fluctuations of the Polyakov loop.
Q-balls with spherical or axial symmetry are numerically obtained from the
equations of motion of the effective model under consideration. The physical
properties of these non-topological solitons (mass, charge and size) are
discussed, as well as their interpretation in terms of spinning "bubbles", with
various shapes, of deconfined matter surrounded by a confined environment.
| [
{
"created": "Wed, 9 May 2012 07:46:25 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Jan 2013 15:54:35 GMT",
"version": "v2"
}
] | 2013-02-12 | [
[
"Brihaye",
"Yves",
""
],
[
"Buisseret",
"Fabien",
""
]
] | The deconfinement phase transition in large-$N_c$ QCD is studied within the framework of an effective Polyakov-loop model, where the potential has a U(1) symmetry originating in the large-$N_c$ limit of a Z$_{N_c}$-symmetric model. At the critical temperature, the shape of the effective potential allows the existence of Q-balls as position-dependent fluctuations of the Polyakov loop. Q-balls with spherical or axial symmetry are numerically obtained from the equations of motion of the effective model under consideration. The physical properties of these non-topological solitons (mass, charge and size) are discussed, as well as their interpretation in terms of spinning "bubbles", with various shapes, of deconfined matter surrounded by a confined environment. |
hep-th/9311126 | Watson visiteur | Jay Watson | Solution of the SU(2) Mandelstam Constraints | 13 pages Latex, preprint CPT-93/P.2963 | Phys.Lett. B323 (1994) 385-392 | 10.1016/0370-2693(94)91236-X | null | hep-th hep-lat | null | It is shown how the Mandelstam constraints for an $SU(2)$ pure lattice gauge
theory with $3{\cal N}$ physical degrees of freedom may be solved completely in
terms of $3{\cal N}$ Wilson and Polyakov loop variables and ${\cal N}-1$ gauge
invariant discrete +/-1 variables, thus enabling a manifestly gauge invariant
formulation of the theory.
| [
{
"created": "Mon, 22 Nov 1993 10:29:13 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Watson",
"Jay",
""
]
] | It is shown how the Mandelstam constraints for an $SU(2)$ pure lattice gauge theory with $3{\cal N}$ physical degrees of freedom may be solved completely in terms of $3{\cal N}$ Wilson and Polyakov loop variables and ${\cal N}-1$ gauge invariant discrete +/-1 variables, thus enabling a manifestly gauge invariant formulation of the theory. |
1805.00985 | Jeff Greensite | Jeff Greensite and Kazue Matsuyama | What symmetry is actually broken in the Higgs phase of a gauge-Higgs
theory? | 20 pages, 14 figures. v2: new section VII, other minor revisions.
Version to appear in PRD | Phys. Rev. D 98, 074504 (2018) | 10.1103/PhysRevD.98.074504 | null | hep-th cond-mat.supr-con hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In SU($N$) gauge-Higgs theories, with a single Higgs field in the fundamental
representation, there exists in addition to the local gauge symmetry a global
SU(2) symmetry, at $N=2$, and a global U(1) symmetry, for $N \ne 2$. We
construct a gauge-invariant order parameter for the breaking of these global
symmetries in the Higgs sector, and calculate numerically the transition lines,
in coupling-constant space, for SU(2) and SU(3) gauge theories with unimodular
Higgs fields. The order parameter is non-local, and therefore its
non-analyticity does not violate the theorem proved by Osterwalder and Seiler.
We then show that there exists a transition, in gauge-Higgs theories, between
two types of confinement: ordinary color neutrality in the Higgs region, and a
stronger condition, which we have called "separation-of-charge confinement," in
the confinement region. We conjecture that the symmetry-breaking transition
coincides with the transition between these two physically different types of
confinement.
| [
{
"created": "Wed, 2 May 2018 19:10:17 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Sep 2018 16:05:48 GMT",
"version": "v2"
}
] | 2019-04-02 | [
[
"Greensite",
"Jeff",
""
],
[
"Matsuyama",
"Kazue",
""
]
] | In SU($N$) gauge-Higgs theories, with a single Higgs field in the fundamental representation, there exists in addition to the local gauge symmetry a global SU(2) symmetry, at $N=2$, and a global U(1) symmetry, for $N \ne 2$. We construct a gauge-invariant order parameter for the breaking of these global symmetries in the Higgs sector, and calculate numerically the transition lines, in coupling-constant space, for SU(2) and SU(3) gauge theories with unimodular Higgs fields. The order parameter is non-local, and therefore its non-analyticity does not violate the theorem proved by Osterwalder and Seiler. We then show that there exists a transition, in gauge-Higgs theories, between two types of confinement: ordinary color neutrality in the Higgs region, and a stronger condition, which we have called "separation-of-charge confinement," in the confinement region. We conjecture that the symmetry-breaking transition coincides with the transition between these two physically different types of confinement. |
1903.03097 | Vadim Monakhov | V. V. Monakhov | Generalization of Dirac conjugation in the superalgebraic theory of
spinors | Russian language, 22 pages. Article is accepted in "Theoretical and
Mathematical Physics" journal | null | 10.1134/S0040577919070079 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the superalgebraic representation of spinors using Grassmann densities and
derivatives with respect to them, a generalization of Dirac conjugation is
introduced, which provides Lorentz-covariant transformations of conjugate
spinors. It is shown that the signature of the generalized gamma matrices and
their number, as well as the decomposition of the second quantization by
momentums, are given by the variant of the generalized Dirac conjugation and by
the requirement that the CAR-algebra be preserved in the transformations of the
spinors and conjugate spinors.
| [
{
"created": "Thu, 7 Mar 2019 18:49:23 GMT",
"version": "v1"
}
] | 2019-09-04 | [
[
"Monakhov",
"V. V.",
""
]
] | In the superalgebraic representation of spinors using Grassmann densities and derivatives with respect to them, a generalization of Dirac conjugation is introduced, which provides Lorentz-covariant transformations of conjugate spinors. It is shown that the signature of the generalized gamma matrices and their number, as well as the decomposition of the second quantization by momentums, are given by the variant of the generalized Dirac conjugation and by the requirement that the CAR-algebra be preserved in the transformations of the spinors and conjugate spinors. |
1411.2603 | Oliver Rosten | Oliver J. Rosten | On Functional Representations of the Conformal Algebra | v5: Published version (50 pages) | Phys. J. C (2017) 77: 477 | 10.1140/epjc/s10052-017-5049-5 | null | hep-th cond-mat.stat-mech hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Starting with conformally covariant correlation functions, a sequence of
functional representations of the conformal algebra is constructed. A key step
is the introduction of representations which involve an auxiliary functional.
It is observed that these functionals are not arbitrary but rather must satisfy
a pair of consistency equations corresponding to dilatation and special
conformal invariance. In a particular representation, the former corresponds to
the canonical form of the Exact Renormalization Group equation specialized to a
fixed-point whereas the latter is new. This provides a concrete understanding
of how conformal invariance is realized as a property of the Wilsonian
effective action and the relationship to action-free formulations of conformal
field theory.
Subsequently, it is argued that the conformal Ward Identities serve to define
a particular representation of the energy-momentum tensor. Consistency of this
construction implies Polchinski's conditions for improving the energy-momentum
tensor of a conformal field theory such that it is traceless. In the Wilsonian
approach, the exactly marginal, redundant field which generates lines of
physically equivalent fixed-points is identified as the trace of the
energy-momentum tensor.
| [
{
"created": "Mon, 10 Nov 2014 21:01:53 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Dec 2014 22:37:31 GMT",
"version": "v2"
},
{
"created": "Tue, 7 Apr 2015 16:07:28 GMT",
"version": "v3"
},
{
"created": "Mon, 4 Jan 2016 19:21:05 GMT",
"version": "v4"
},
{
"created": "Sat, 21 Apr 2018 17:59:40 GMT",
"version": "v5"
}
] | 2018-04-24 | [
[
"Rosten",
"Oliver J.",
""
]
] | Starting with conformally covariant correlation functions, a sequence of functional representations of the conformal algebra is constructed. A key step is the introduction of representations which involve an auxiliary functional. It is observed that these functionals are not arbitrary but rather must satisfy a pair of consistency equations corresponding to dilatation and special conformal invariance. In a particular representation, the former corresponds to the canonical form of the Exact Renormalization Group equation specialized to a fixed-point whereas the latter is new. This provides a concrete understanding of how conformal invariance is realized as a property of the Wilsonian effective action and the relationship to action-free formulations of conformal field theory. Subsequently, it is argued that the conformal Ward Identities serve to define a particular representation of the energy-momentum tensor. Consistency of this construction implies Polchinski's conditions for improving the energy-momentum tensor of a conformal field theory such that it is traceless. In the Wilsonian approach, the exactly marginal, redundant field which generates lines of physically equivalent fixed-points is identified as the trace of the energy-momentum tensor. |
hep-th/9609047 | Agustin Nieto | Eric Braaten and Agustin Nieto (Ohio State University) | Renormalization Effects in a Dilute Bose Gas | 10 pages, 1 postscript figure, LaTeX | Phys.Rev.B55:8090-8093,1997 | 10.1103/PhysRevB.55.8090 | OHSTPY-HEP-T-96-017 | hep-th cond-mat | null | The low-density expansion for a homogeneous interacting Bose gas at zero
temperature can be formulated as an expansion in powers of $\sqrt{\rho a^3}$,
where $\rho$ is the number density and $a$ is the S-wave scattering length.
Logarithms of $\rho a^3$ appear in the coefficients of the expansion. We show
that these logarithms are determined by the renormalization properties of the
effective field theory that describes the scattering of atoms at zero density.
The leading logarithm is determined by the renormalization of the pointlike $3
\to 3$ scattering amplitude.
| [
{
"created": "Thu, 5 Sep 1996 19:03:50 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Braaten",
"Eric",
"",
"Ohio State University"
],
[
"Nieto",
"Agustin",
"",
"Ohio State University"
]
] | The low-density expansion for a homogeneous interacting Bose gas at zero temperature can be formulated as an expansion in powers of $\sqrt{\rho a^3}$, where $\rho$ is the number density and $a$ is the S-wave scattering length. Logarithms of $\rho a^3$ appear in the coefficients of the expansion. We show that these logarithms are determined by the renormalization properties of the effective field theory that describes the scattering of atoms at zero density. The leading logarithm is determined by the renormalization of the pointlike $3 \to 3$ scattering amplitude. |
hep-th/9406197 | null | A. Babichenko | Integrable vector perturbations of W-invariant theories and their
quantum group symmetry | Latex file. 18 pages. (Final part was changed) | null | null | null | hep-th | null | Perturbations of $WD_n$ and $W_3$ conformal theories which generalize the
$(1,2)$ perturbations of conformal minimal models are shown to be integrable by
counting argument. $A_{2n-1,q}^{(2)}$ and $D_{4,q}^ {(3)}$ symmetries of
corresponding S-matrices are conjectured and proved by explicit construction of
conserved nonlocal charges in the $WD_3$ case with the proper quantum group of
symmetry.
| [
{
"created": "Wed, 29 Jun 1994 12:55:00 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Nov 1994 15:48:00 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Babichenko",
"A.",
""
]
] | Perturbations of $WD_n$ and $W_3$ conformal theories which generalize the $(1,2)$ perturbations of conformal minimal models are shown to be integrable by counting argument. $A_{2n-1,q}^{(2)}$ and $D_{4,q}^ {(3)}$ symmetries of corresponding S-matrices are conjectured and proved by explicit construction of conserved nonlocal charges in the $WD_3$ case with the proper quantum group of symmetry. |
1409.3267 | Zhijin Li | Tianjun Li, Zhijin Li, Dimitri V. Nanopoulos | Helical Phase Inflation | 4 pages+references, 2 figures, phase monodromy in supersymmetric
field theory is added | Phys. Rev. D 91, 061303 (2015) | 10.1103/PhysRevD.91.061303 | null | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the quadratic inflation can be realized by the phase of a
complex field with helicoid potential. Remarkably, this helicoid potential can
be simply realized in minimal supergravity. The global $U(1)$ symmetry of the
K\"ahler potential introduces a flat direction and evades the $\eta$ problem
automatically. So such inflation is technically natural. The phase excursion is
super-Planckian as required by the Lyth bound, while the norm of the complex
field can be suppressed in the sub-Planckian region. This model resolves the
ultraviolet sensitive problem of the large field inflation, besides, it also
provides a new type of monodromy inflation in supersymmetric field theory with
consistent field stabilization.
| [
{
"created": "Wed, 10 Sep 2014 22:27:50 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Dec 2014 17:30:00 GMT",
"version": "v2"
}
] | 2015-03-18 | [
[
"Li",
"Tianjun",
""
],
[
"Li",
"Zhijin",
""
],
[
"Nanopoulos",
"Dimitri V.",
""
]
] | We show that the quadratic inflation can be realized by the phase of a complex field with helicoid potential. Remarkably, this helicoid potential can be simply realized in minimal supergravity. The global $U(1)$ symmetry of the K\"ahler potential introduces a flat direction and evades the $\eta$ problem automatically. So such inflation is technically natural. The phase excursion is super-Planckian as required by the Lyth bound, while the norm of the complex field can be suppressed in the sub-Planckian region. This model resolves the ultraviolet sensitive problem of the large field inflation, besides, it also provides a new type of monodromy inflation in supersymmetric field theory with consistent field stabilization. |
1505.00260 | Gianluca Zoccarato | Hirotaka Hayashi, Gianluca Zoccarato | Topological vertex for Higgsed 5d $T_N$ theories | 60 pages, 23 figures. v2, corrected typos, version accepted on JHEP | null | null | IFT-UAM/CSIC-15-037 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyse the computation of the partition function of 5d $T_N$ theories in
Higgs branches using the topological vertex. The theories are realised by a web
of $(p,q)$ 5-branes whose dual description may be given by an M-theory
compactification on a certain local non-toric Calabi-Yau threefold. We
explicitly show how it is possible to directly apply the topological vertex to
the non-toric geometry. Using this novel technique, which considerably
simplifies the computation by the existing method, we are able to compute the
partition function of the higher rank $E_6$, $E_7$ and $E_8$ theories. Moreover
we show how in some specific cases similar results can be extended to the
computation of the partition function of 5d $T_N$ theories in the Higgs branch
using the refined topological vertex. These cases require a modification of the
refined topological vertex.
| [
{
"created": "Fri, 1 May 2015 19:44:44 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Aug 2015 11:57:48 GMT",
"version": "v2"
}
] | 2015-08-24 | [
[
"Hayashi",
"Hirotaka",
""
],
[
"Zoccarato",
"Gianluca",
""
]
] | We analyse the computation of the partition function of 5d $T_N$ theories in Higgs branches using the topological vertex. The theories are realised by a web of $(p,q)$ 5-branes whose dual description may be given by an M-theory compactification on a certain local non-toric Calabi-Yau threefold. We explicitly show how it is possible to directly apply the topological vertex to the non-toric geometry. Using this novel technique, which considerably simplifies the computation by the existing method, we are able to compute the partition function of the higher rank $E_6$, $E_7$ and $E_8$ theories. Moreover we show how in some specific cases similar results can be extended to the computation of the partition function of 5d $T_N$ theories in the Higgs branch using the refined topological vertex. These cases require a modification of the refined topological vertex. |
hep-th/0205034 | Pletnev | A.T. Banin, I.L. Buchbinder, N.G. Pletnev | On Low-Energy Effective Action in N=2 Super Yang-Mills Theories on
Non-Abelian Background | LaTeX, 21 pages, typos corrected and references added | Phys.Rev. D66 (2002) 045021 | 10.1103/PhysRevD.66.045021 | null | hep-th | null | We compute the non-holomorphic corrections to low-energy effective action
(higher derivative terms) in N=2, SU(2) SYM theory coupled to hypermultiplets
on a non-abelian background for a class of gauge fixing conditions. A general
procedure for calculating the gauge parameters depending contributions to
one-loop superfield effective action is developed. The one-loop non-holomorphic
effective potential is exactly found in terms of Euler dilogarithm function for
specific choice of gauge parameters.
| [
{
"created": "Sat, 4 May 2002 06:14:24 GMT",
"version": "v1"
},
{
"created": "Sun, 12 May 2002 10:53:48 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Banin",
"A. T.",
""
],
[
"Buchbinder",
"I. L.",
""
],
[
"Pletnev",
"N. G.",
""
]
] | We compute the non-holomorphic corrections to low-energy effective action (higher derivative terms) in N=2, SU(2) SYM theory coupled to hypermultiplets on a non-abelian background for a class of gauge fixing conditions. A general procedure for calculating the gauge parameters depending contributions to one-loop superfield effective action is developed. The one-loop non-holomorphic effective potential is exactly found in terms of Euler dilogarithm function for specific choice of gauge parameters. |
hep-th/9811075 | Richard Battye | R.A. Battye and B. Carter | Second order Lagrangian and symplectic current for gravitationally
perturbed Dirac-Goto-Nambu strings and branes | 8 Pages | Class.Quant.Grav. 17 (2000) 3325-3334 | 10.1088/0264-9381/17/16/315 | DAMTP-1998-151 | hep-th | null | We extend a recent analysis of gravitational perturbations on
Dirac-Nambu-Goto strings, membranes and higher dimensional branes. In an
arbitrary gauge, it is shown that the relevant first order equations governing
the displacement vector of the worldsheet and metric perturbation are
obtainable from a variational principle whose Lagrangian is constructed as a
second order perturbation of the standard Dirac-Goto-Nambu action density. A
symplectic current functional is obtained as a by-product that is potentially
useful for the derivation of conservation laws in particular circumstances.
| [
{
"created": "Mon, 9 Nov 1998 11:59:17 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Battye",
"R. A.",
""
],
[
"Carter",
"B.",
""
]
] | We extend a recent analysis of gravitational perturbations on Dirac-Nambu-Goto strings, membranes and higher dimensional branes. In an arbitrary gauge, it is shown that the relevant first order equations governing the displacement vector of the worldsheet and metric perturbation are obtainable from a variational principle whose Lagrangian is constructed as a second order perturbation of the standard Dirac-Goto-Nambu action density. A symplectic current functional is obtained as a by-product that is potentially useful for the derivation of conservation laws in particular circumstances. |
0912.2435 | She-Sheng Xue | She-Sheng Xue | Detailed discussions and calculations of quantum Regge calculus of
Einstein-Cartan theory | the final version to appear in PRD, 52 pages and 6 figures, title has
been changed | Phys.Rev.D82:064039,2010 | 10.1103/PhysRevD.82.064039 | null | hep-th gr-qc hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This article presents detailed discussions and calculations of the recent
paper "Quantum Regge calculus of Einstein-Cartan theory" in Phys. Lett. B682
(2009) 300. The Euclidean space-time is discretized by a four-dimensional
simplicial complex. We adopt basic tetrad and spin-connection fields to
describe the simplicial complex. By introducing diffeomorphism and local
Lorentz invariant holonomy fields, we construct a regularized Einstein-Cartan
theory for studying the quantum dynamics of the simplicial complex and fermion
fields. This regularized Einstein-Cartan action is shown to properly approach
to its continuum counterpart in the continuum limit. Based on the local Lorentz
invariance, we derive the dynamical equations satisfied by invariant holonomy
fields. In the mean-field approximation, we show that the averaged size of
4-simplex, the element of the simplicial complex, is larger than the Planck
length. This formulation provides a theoretical framework for analytical
calculations and numerical simulations to study the quantum Einstein-Cartan
theory.
| [
{
"created": "Sat, 12 Dec 2009 16:43:06 GMT",
"version": "v1"
},
{
"created": "Sun, 21 Feb 2010 16:39:29 GMT",
"version": "v2"
},
{
"created": "Fri, 17 Sep 2010 17:56:54 GMT",
"version": "v3"
},
{
"created": "Thu, 7 Oct 2010 18:05:37 GMT",
"version": "v4"
}
] | 2010-10-08 | [
[
"Xue",
"She-Sheng",
""
]
] | This article presents detailed discussions and calculations of the recent paper "Quantum Regge calculus of Einstein-Cartan theory" in Phys. Lett. B682 (2009) 300. The Euclidean space-time is discretized by a four-dimensional simplicial complex. We adopt basic tetrad and spin-connection fields to describe the simplicial complex. By introducing diffeomorphism and local Lorentz invariant holonomy fields, we construct a regularized Einstein-Cartan theory for studying the quantum dynamics of the simplicial complex and fermion fields. This regularized Einstein-Cartan action is shown to properly approach to its continuum counterpart in the continuum limit. Based on the local Lorentz invariance, we derive the dynamical equations satisfied by invariant holonomy fields. In the mean-field approximation, we show that the averaged size of 4-simplex, the element of the simplicial complex, is larger than the Planck length. This formulation provides a theoretical framework for analytical calculations and numerical simulations to study the quantum Einstein-Cartan theory. |
2111.07770 | Xin-Meng Wu | Yan Liu and Xin-Meng Wu | Breakdown of hydrodynamics from holographic pole collision | 39 pages, 12 figures, the published version | JHEP01(2022)155 | 10.1007/JHEP01(2022)155 | null | hep-th cond-mat.str-el | http://creativecommons.org/licenses/by/4.0/ | We study the breakdown of diffusive hydrodynamics in holographic systems dual
to neutral dilatonic black holes with extremal near horizon geometries
conformal to AdS$_2\times\,$R$^2$. We find that at low temperatures by tuning
the effective gauge coupling constant in the infra-red, the lowest
non-hydrodynamic mode, which collides with the charge diffusive mode and sets
the scales at which diffusive hydrodynamics break down, could be either an
infra-red mode or a slow mode, resulting in different scaling behaviors of the
local equilibrium scales. We confirm that the upper bound for the charge
diffusion constant is always satisfied using the velocity and timescale of
local equilibration from the pole collision. We also examine the breakdown of
hydrodynamics at general temperature and find that the convergence radius has
nontrivial dependence on temperature, in addition to the effective gauge
coupling constant.
| [
{
"created": "Mon, 15 Nov 2021 14:11:33 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Jan 2022 12:30:11 GMT",
"version": "v2"
}
] | 2022-01-28 | [
[
"Liu",
"Yan",
""
],
[
"Wu",
"Xin-Meng",
""
]
] | We study the breakdown of diffusive hydrodynamics in holographic systems dual to neutral dilatonic black holes with extremal near horizon geometries conformal to AdS$_2\times\,$R$^2$. We find that at low temperatures by tuning the effective gauge coupling constant in the infra-red, the lowest non-hydrodynamic mode, which collides with the charge diffusive mode and sets the scales at which diffusive hydrodynamics break down, could be either an infra-red mode or a slow mode, resulting in different scaling behaviors of the local equilibrium scales. We confirm that the upper bound for the charge diffusion constant is always satisfied using the velocity and timescale of local equilibration from the pole collision. We also examine the breakdown of hydrodynamics at general temperature and find that the convergence radius has nontrivial dependence on temperature, in addition to the effective gauge coupling constant. |
1910.10587 | Nikolaos Tetradis | Nikolaos Tetradis | Corrections to de Sitter entropy through holography | 5 pages, 1 figure, acknowledgment added | null | 10.1016/j.physletb.2020.135552 | CERN-TH-2019-177 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The holographic entanglement entropy is computed for an entangling surface
that coincides with the horizon of a boundary de Sitter metric. This is
achieved through an appropriate slicing of anti-de Sitter space and the
implementation of a UV cutoff. The entropy is equal to the Wald entropy for an
effective action that includes the higher-curvature terms associated with the
conformal anomaly. The UV cutoff can be expressed in terms of the effective
Planck mass and the number of degrees of freedom of the dual theory. The
entanglement entropy takes the expected form of the de Sitter entropy,
including logarithmic corrections.
| [
{
"created": "Wed, 23 Oct 2019 14:39:44 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Jan 2020 16:38:42 GMT",
"version": "v2"
},
{
"created": "Thu, 11 Jun 2020 17:53:23 GMT",
"version": "v3"
}
] | 2020-06-17 | [
[
"Tetradis",
"Nikolaos",
""
]
] | The holographic entanglement entropy is computed for an entangling surface that coincides with the horizon of a boundary de Sitter metric. This is achieved through an appropriate slicing of anti-de Sitter space and the implementation of a UV cutoff. The entropy is equal to the Wald entropy for an effective action that includes the higher-curvature terms associated with the conformal anomaly. The UV cutoff can be expressed in terms of the effective Planck mass and the number of degrees of freedom of the dual theory. The entanglement entropy takes the expected form of the de Sitter entropy, including logarithmic corrections. |
1803.08434 | Kenichi Konishi | Kenichi Konishi | Confinement and XSB in QCD: Mysteries and beauty of soliton dynamics in
nonAbelian gauge theories | 35 pages, 10 figures | null | null | IFUP-TH-2018 | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Deep insights into the possible infrared dynamics of strongly-coupled
nonAbelian gauge theories such as QCD come from the analyses of ${\cal N}=1$ or
${\cal N}=2$ supersymmetric gauge theories. Central in the whole discussion
will be the topological soliton monopoles and vortices and their quantum
dynamics. We review the arguments that nonAbelian monopoles, free from the
classic "difficulties", can be defined semi-classically via the topology and
stability connection to the better understood nonAbelian vortices. Recent
results on $CP^{N-1}$ models on $2D$ worldsheet of finite width, establish the
quantum mechanical nature of such nonAbelian monopoles. An interesting class of
RG flows and emergence of confining vacua "nearby" strongly-coupled
infrared-fixed point (IRFP) conformal theories are discussed in the context of
most singular vacua in ${\cal N}=2$ supersymmetric QCD. Certain analogy with
the real-world QCD is drawn. In many systems, color-flavor locking emerges as a
crucial mechanism for the gauge system to avoid dynamical Abelianization.
| [
{
"created": "Thu, 22 Mar 2018 16:18:56 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Apr 2018 16:13:15 GMT",
"version": "v2"
}
] | 2018-04-23 | [
[
"Konishi",
"Kenichi",
""
]
] | Deep insights into the possible infrared dynamics of strongly-coupled nonAbelian gauge theories such as QCD come from the analyses of ${\cal N}=1$ or ${\cal N}=2$ supersymmetric gauge theories. Central in the whole discussion will be the topological soliton monopoles and vortices and their quantum dynamics. We review the arguments that nonAbelian monopoles, free from the classic "difficulties", can be defined semi-classically via the topology and stability connection to the better understood nonAbelian vortices. Recent results on $CP^{N-1}$ models on $2D$ worldsheet of finite width, establish the quantum mechanical nature of such nonAbelian monopoles. An interesting class of RG flows and emergence of confining vacua "nearby" strongly-coupled infrared-fixed point (IRFP) conformal theories are discussed in the context of most singular vacua in ${\cal N}=2$ supersymmetric QCD. Certain analogy with the real-world QCD is drawn. In many systems, color-flavor locking emerges as a crucial mechanism for the gauge system to avoid dynamical Abelianization. |
1704.07087 | Zoltan Peli | Z. Peli, S. Nagy, K. Sailer | Effect of the quartic gradient terms on the critical exponents of the
Wilson-Fisher fixed point in $O(N)$ models | 19 pages, 27 figures | null | 10.1140/epja/i2018-12385-9 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The effect of the $\ord{\partial^4}$ terms of the gradient expansion on
anomalous dimension $\eta$ and the correlation length's critical exponent $\nu$
of the Wilson-Fisher fixed point has been determined for the Euclidean $O(N)$
model for $N=1$ and the number of dimensions $2< d<4$ as well as for $N\ge 2$
and $d=3$. Wetterich's effective average action renormalization group method is
used with field-independent derivative couplings and Litim's optimized
regulator. It is shown that the critical theory for $N\ge 2$ is well
approximated by the effective average action preserving $O(N)$ symmetry with
the accuracy of $\ord{\eta}$.
| [
{
"created": "Mon, 24 Apr 2017 08:44:56 GMT",
"version": "v1"
}
] | 2018-04-04 | [
[
"Peli",
"Z.",
""
],
[
"Nagy",
"S.",
""
],
[
"Sailer",
"K.",
""
]
] | The effect of the $\ord{\partial^4}$ terms of the gradient expansion on anomalous dimension $\eta$ and the correlation length's critical exponent $\nu$ of the Wilson-Fisher fixed point has been determined for the Euclidean $O(N)$ model for $N=1$ and the number of dimensions $2< d<4$ as well as for $N\ge 2$ and $d=3$. Wetterich's effective average action renormalization group method is used with field-independent derivative couplings and Litim's optimized regulator. It is shown that the critical theory for $N\ge 2$ is well approximated by the effective average action preserving $O(N)$ symmetry with the accuracy of $\ord{\eta}$. |
hep-th/0703069 | Robert Delbourgo | R. Delbourgo | Property values | LaTex2e, 12 pages, contribution to Joshi-McKellar Festschrift | Int.J.Mod.Phys.A22:4911-4922,2007 | 10.1142/S0217751X0703827X | UTAS-07 | hep-th | null | By ascribing a complex anticommuting variable $\zeta$ to each basic {\em
property} of a field, it is possible to describe all the fundamental particles
as combinations of only five $\zeta$ and understand the occurrence of particle
generations. An extension of space-time $x$ to include property then specifies
the `where-when and what' of an event and it allows for a generalized
relativity wherein the gauge fields lie in the $x - \zeta$ sector and the Higgs
fields in the $\zeta - \zeta$ sector.
| [
{
"created": "Wed, 7 Mar 2007 23:28:33 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Delbourgo",
"R.",
""
]
] | By ascribing a complex anticommuting variable $\zeta$ to each basic {\em property} of a field, it is possible to describe all the fundamental particles as combinations of only five $\zeta$ and understand the occurrence of particle generations. An extension of space-time $x$ to include property then specifies the `where-when and what' of an event and it allows for a generalized relativity wherein the gauge fields lie in the $x - \zeta$ sector and the Higgs fields in the $\zeta - \zeta$ sector. |
hep-th/0304207 | Ahmed Jellal | Ahmed Jellal, Michael Schreiber | A Matrix Model for Bilayered Quantum Hall Systems | 14 pages, minor changes in introduction and references added,
published in JPA | J.Phys.A37:3147-3158,2004 | 10.1088/0305-4470/37/9/007 | null | hep-th cond-mat | null | We develop a matrix model to describe bilayered quantum Hall fluids for a
series of filling factors. Considering two coupling layers, and starting from a
corresponding action, we construct its vacuum configuration at
\nu=q_iK_{ij}^{-1}q_j, where K_{ij} is a 2\times 2 matrix and q_i is a vector.
Our model allows us to reproduce several well-known wave functions. We show
that the wave function \Psi_{(m,m,n)} constructed years ago by Yoshioka,
MacDonald and Girvin for the fractional quantum Hall effect at filling factor
{2\over m+n} and in particular \Psi_{(3,3,1)} at filling {1\over 2} can be
obtained from our vacuum configuration. The unpolarized Halperin wave function
and especially that for the fractional quantum Hall state at filling factor
{2\over 5} can also be recovered from our approach. Generalization to more than
2 layers is straightforward.
| [
{
"created": "Thu, 24 Apr 2003 16:46:38 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Apr 2004 11:30:51 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Jellal",
"Ahmed",
""
],
[
"Schreiber",
"Michael",
""
]
] | We develop a matrix model to describe bilayered quantum Hall fluids for a series of filling factors. Considering two coupling layers, and starting from a corresponding action, we construct its vacuum configuration at \nu=q_iK_{ij}^{-1}q_j, where K_{ij} is a 2\times 2 matrix and q_i is a vector. Our model allows us to reproduce several well-known wave functions. We show that the wave function \Psi_{(m,m,n)} constructed years ago by Yoshioka, MacDonald and Girvin for the fractional quantum Hall effect at filling factor {2\over m+n} and in particular \Psi_{(3,3,1)} at filling {1\over 2} can be obtained from our vacuum configuration. The unpolarized Halperin wave function and especially that for the fractional quantum Hall state at filling factor {2\over 5} can also be recovered from our approach. Generalization to more than 2 layers is straightforward. |
1404.3736 | Jacques Distler | Oscar Chacaltana, Jacques Distler and Anderson Trimm | Seiberg-Witten for $Spin(n)$ with Spinors | 28 pages, 54 figures | null | 10.1007/JHEP08(2015)027 | UTTG-12-14, TCC-012-14, ICTP-SAIFR/2014-002 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | $\mathcal{N}=2$ supersymmetric $Spin(n)$ gauge theory admits hypermultiplets
in spinor representations of the gauge group, compatible with $\beta\leq0$, for
$n\leq 14$. The theories with $\beta<0$ can be obtained as mass-deformations of
the $\beta=0$ theories, so it is of greatest interest to construct the
$\beta=0$ theories. In previous works, we discussed the $n\leq8$ theories.
Here, we turn to the $9\leq n\leq 14$ cases. By compactifying the $D_N$ (2,0)
theory on a 4-punctured sphere, we find Seiberg-Witten solutions to almost all
of the remaining cases. There are five theories, however, which do not seem to
admit a realization from six dimensions.
| [
{
"created": "Mon, 14 Apr 2014 20:00:29 GMT",
"version": "v1"
}
] | 2015-09-30 | [
[
"Chacaltana",
"Oscar",
""
],
[
"Distler",
"Jacques",
""
],
[
"Trimm",
"Anderson",
""
]
] | $\mathcal{N}=2$ supersymmetric $Spin(n)$ gauge theory admits hypermultiplets in spinor representations of the gauge group, compatible with $\beta\leq0$, for $n\leq 14$. The theories with $\beta<0$ can be obtained as mass-deformations of the $\beta=0$ theories, so it is of greatest interest to construct the $\beta=0$ theories. In previous works, we discussed the $n\leq8$ theories. Here, we turn to the $9\leq n\leq 14$ cases. By compactifying the $D_N$ (2,0) theory on a 4-punctured sphere, we find Seiberg-Witten solutions to almost all of the remaining cases. There are five theories, however, which do not seem to admit a realization from six dimensions. |
1011.2639 | Sanjay Siwach | Sanjay Siwach and Bhupendra Nath Tiwari | On Attractor Flow and Small Black Holes | 10 pages | Mod.Phys.Lett.A26:967-974,2011 | 10.1142/S0217732311035286 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the attractor flow and near horizon geometry of two-charge small
black holes in heterotic string theory. The Hessian of Sen's entropy function
with respect to the moduli fields has standard attractor properties and shows
the interesting factorization at the attractor fixed points. We notice that the
stability conditions are preserved under arbitrary
$\alpha^{\prime}$-corrections to the black hole solutions.
| [
{
"created": "Thu, 11 Nov 2010 12:51:08 GMT",
"version": "v1"
}
] | 2011-05-23 | [
[
"Siwach",
"Sanjay",
""
],
[
"Tiwari",
"Bhupendra Nath",
""
]
] | We study the attractor flow and near horizon geometry of two-charge small black holes in heterotic string theory. The Hessian of Sen's entropy function with respect to the moduli fields has standard attractor properties and shows the interesting factorization at the attractor fixed points. We notice that the stability conditions are preserved under arbitrary $\alpha^{\prime}$-corrections to the black hole solutions. |
0807.0746 | Toshio Nakatsu | Toshio Nakatsu, Yui Noma, Kanehisa Takasaki | Extended $5d$ Seiberg-Witten Theory and Melting Crystal | Final version to be published in Nucl. Phys. B. Typos are corrected.
38 pages, 4 figures | Nucl.Phys.B808:411-440,2009 | 10.1016/j.nuclphysb.2008.08.028 | null | hep-th math-ph math.MP math.QA nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study an extension of the Seiberg-Witten theory of $5d$ $\mathcal{N}=1$
supersymmetric Yang-Mills on $\mathbb{R}^4 \times S^1$. We investigate
correlation functions among loop operators. These are the operators analogous
to the Wilson loops encircling the fifth-dimensional circle and give rise to
physical observables of topological-twisted $5d$ $\mathcal{N}=1$ supersymmetric
Yang-Mills in the $\Omega$ background. The correlation functions are computed
by using the localization technique. Generating function of the correlation
functions of U(1) theory is expressed as a statistical sum over partitions and
reproduces the partition function of the melting crystal model with external
potentials. The generating function becomes a $\tau$ function of 1-Toda
hierarchy, where the coupling constants of the loop operators are interpreted
as time variables of 1-Toda hierarchy. The thermodynamic limit of the partition
function of this model is studied. We solve a Riemann-Hilbert problem that
determines the limit shape of the main diagonal slice of random plane
partitions in the presence of external potentials, and identify a relevant
complex curve and the associated Seiberg-Witten differential.
| [
{
"created": "Mon, 7 Jul 2008 08:22:52 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Sep 2008 09:15:35 GMT",
"version": "v2"
}
] | 2008-12-18 | [
[
"Nakatsu",
"Toshio",
""
],
[
"Noma",
"Yui",
""
],
[
"Takasaki",
"Kanehisa",
""
]
] | We study an extension of the Seiberg-Witten theory of $5d$ $\mathcal{N}=1$ supersymmetric Yang-Mills on $\mathbb{R}^4 \times S^1$. We investigate correlation functions among loop operators. These are the operators analogous to the Wilson loops encircling the fifth-dimensional circle and give rise to physical observables of topological-twisted $5d$ $\mathcal{N}=1$ supersymmetric Yang-Mills in the $\Omega$ background. The correlation functions are computed by using the localization technique. Generating function of the correlation functions of U(1) theory is expressed as a statistical sum over partitions and reproduces the partition function of the melting crystal model with external potentials. The generating function becomes a $\tau$ function of 1-Toda hierarchy, where the coupling constants of the loop operators are interpreted as time variables of 1-Toda hierarchy. The thermodynamic limit of the partition function of this model is studied. We solve a Riemann-Hilbert problem that determines the limit shape of the main diagonal slice of random plane partitions in the presence of external potentials, and identify a relevant complex curve and the associated Seiberg-Witten differential. |
2304.05787 | J.-C. Wallet | Kilian Hersent, Jean-Christophe Wallet | Field theories on $\rho$-deformed Minkowski space-time | 19 pages | JHEP 07 (2023) 031 | 10.1007/JHEP07(2023)031 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study one-loop perturbative properties of scalar field theories on the
$\rho$-Minkowski space. The corresponding star-product, together with the
involution are characterized from a combination of Weyl quantization and
defining properties of the convolution algebra of the Euclidean group linked to
the coordinate algebra of the $\rho$-Minkowski space. The natural integration
measure linked to the Haar measure of the Euclidean group defines a trace for
the star-product. One-loop properties of the 2-point and 4-point functions for
families of complex-valued scalar field theories on $\rho$-Minkowski space are
examined. For scalar theories with orientable interaction, the 2-point function
is found to receive UV quadratically diverging one-loop corrections in 4
dimensions while no IR singularities generating UV/IR mixing appears. These
however occur in the one-loop corrections to the 4-point function. As well,
one-loop 2-point functions for theories with non-orientable interaction involve
such IR singularities. These results are discussed.
| [
{
"created": "Wed, 12 Apr 2023 11:57:48 GMT",
"version": "v1"
}
] | 2023-07-06 | [
[
"Hersent",
"Kilian",
""
],
[
"Wallet",
"Jean-Christophe",
""
]
] | We study one-loop perturbative properties of scalar field theories on the $\rho$-Minkowski space. The corresponding star-product, together with the involution are characterized from a combination of Weyl quantization and defining properties of the convolution algebra of the Euclidean group linked to the coordinate algebra of the $\rho$-Minkowski space. The natural integration measure linked to the Haar measure of the Euclidean group defines a trace for the star-product. One-loop properties of the 2-point and 4-point functions for families of complex-valued scalar field theories on $\rho$-Minkowski space are examined. For scalar theories with orientable interaction, the 2-point function is found to receive UV quadratically diverging one-loop corrections in 4 dimensions while no IR singularities generating UV/IR mixing appears. These however occur in the one-loop corrections to the 4-point function. As well, one-loop 2-point functions for theories with non-orientable interaction involve such IR singularities. These results are discussed. |
2004.05780 | Rong-Xin Miao | Chong-Sun Chu and Rong-Xin Miao | Fermi Condensation induced by Weyl Anomaly | 5 pages, 1 figure, revision published in PRD | Phys. Rev. D 102, 046011 (2020) | 10.1103/PhysRevD.102.046011 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Fermi condensation is usually a phenomena of strongly correlated system. In
this letter, we point out a novel mechanism for condensation of Dirac fermions
due to Weyl anomaly. The condensation has its physical origin in the nontrivial
response of the fermion vacuum to changes in the background spacetime (either
boundary location or the background metric), and can be felt when a background
scalar field is turned on. The scalar field can be, for example, the Higgs
field in a fundamental theory or the phonon in condensed matter system. For a
spacetime with boundaries, the induced Fermi condensate is inversely
proportional to the proper distance from the boundary. For a conformally flat
spacetime without boundaries, Fermi condensation depends on the conformal
factor and its derivatives. We also generalize the Banks-Casher relation which
relates the Fermi condensate to the zero mode density of the Dirac operator to
a local form. Due to its universal nature, this anomaly induced Fermi
condensate can be expected to have a wide range of applications in physics.
| [
{
"created": "Mon, 13 Apr 2020 06:09:39 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Aug 2020 01:06:14 GMT",
"version": "v2"
}
] | 2020-08-28 | [
[
"Chu",
"Chong-Sun",
""
],
[
"Miao",
"Rong-Xin",
""
]
] | Fermi condensation is usually a phenomena of strongly correlated system. In this letter, we point out a novel mechanism for condensation of Dirac fermions due to Weyl anomaly. The condensation has its physical origin in the nontrivial response of the fermion vacuum to changes in the background spacetime (either boundary location or the background metric), and can be felt when a background scalar field is turned on. The scalar field can be, for example, the Higgs field in a fundamental theory or the phonon in condensed matter system. For a spacetime with boundaries, the induced Fermi condensate is inversely proportional to the proper distance from the boundary. For a conformally flat spacetime without boundaries, Fermi condensation depends on the conformal factor and its derivatives. We also generalize the Banks-Casher relation which relates the Fermi condensate to the zero mode density of the Dirac operator to a local form. Due to its universal nature, this anomaly induced Fermi condensate can be expected to have a wide range of applications in physics. |
1204.0360 | Ville Ker\"anen | Ville Keranen, Larus Thorlacius | Thermal Correlators in Holographic Models with Lifshitz scaling | 28 pages, 8 figures; typos corrected, references added, published
version | 2012 Class. Quantum Grav. 29 194009 | 10.1088/0264-9381/29/19/194009 | Nordita-2012-28; RH-03-2012 | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study finite temperature effects in two distinct holographic models that
exhibit Lifshitz scaling, looking to identify model independent features in the
dual strong coupling physics. We consider the thermodynamics of black branes
and find different low-temperature behavior of the specific heat. Deformation
away from criticality leads to non-trivial temperature dependence of
correlation functions and we study how the characteristic length scale in the
two point function of scalar operators varies as a function of temperature and
deformation parameters.
| [
{
"created": "Mon, 2 Apr 2012 10:05:22 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Oct 2012 11:20:52 GMT",
"version": "v2"
}
] | 2012-10-24 | [
[
"Keranen",
"Ville",
""
],
[
"Thorlacius",
"Larus",
""
]
] | We study finite temperature effects in two distinct holographic models that exhibit Lifshitz scaling, looking to identify model independent features in the dual strong coupling physics. We consider the thermodynamics of black branes and find different low-temperature behavior of the specific heat. Deformation away from criticality leads to non-trivial temperature dependence of correlation functions and we study how the characteristic length scale in the two point function of scalar operators varies as a function of temperature and deformation parameters. |
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