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/0310278 | Boris Blankleider | B. Blankleider and A. N. Kvinikhidze | Comment on "Light-front Schwinger model at finite temperature" | 8 pages, revtex4, added section refuting the massless limit proposed
in hep-th/0311022 | Phys.Rev. D69 (2004) 128701 | 10.1103/PhysRevD.69.128701 | null | hep-th | null | In a recent paper by A. Das and X. Zhou [Phys. Rev. D 68, 065017 (2003)] it
is claimed that explicit evaluation of the thermal photon self-energy in the
Schwinger model gives off-shell thermal Green functions that are different in
light-front and conventional quantizations. We show that the claimed difference
originates from an erroneous simplification of the fermion propagator used in
the light-front calculation.
| [
{
"created": "Thu, 30 Oct 2003 11:15:09 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Dec 2003 20:50:34 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Blankleider",
"B.",
""
],
[
"Kvinikhidze",
"A. N.",
""
]
] | In a recent paper by A. Das and X. Zhou [Phys. Rev. D 68, 065017 (2003)] it is claimed that explicit evaluation of the thermal photon self-energy in the Schwinger model gives off-shell thermal Green functions that are different in light-front and conventional quantizations. We show that the claimed difference originates from an erroneous simplification of the fermion propagator used in the light-front calculation. |
2010.05889 | Antoine Bourget | Antoine Bourget, Simone Giacomelli, Julius F. Grimminger, Amihay
Hanany, Marcus Sperling, Zhenghao Zhong | S-fold magnetic quivers | null | null | 10.1007/JHEP02(2021)054 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Magnetic quivers and Hasse diagrams for Higgs branches of rank $r$ 4d
$\mathcal{N}=2$ SCFTs arising from $\mathbb{Z}_{\ell}$ $\mathcal{S}$-fold
constructions are discussed. The magnetic quivers are derived using three
different methods: 1) Using clues like dimension, global symmetry, and the
folding parameter $\ell$ to guess the magnetic quiver. 2) From 6d
$\mathcal{N}=(1,0)$ SCFTs as UV completions of 5d marginal theories, and
specific FI deformations on their magnetic quiver, which is further folded by
$\mathbb{Z}_{\ell}$. 3) From T-duality of Type IIA brane systems of 6d
$\mathcal{N}=(1,0)$ SCFTs and explicit mass deformation of the resulting brane
web followed by $\mathbb{Z}_{\ell}$ folding. A choice of the ungauging scheme,
either on a long node or on a short node, yields two different moduli spaces
related by an orbifold action, thus suggesting a larger set of SCFTs in four
dimensions than previously expected.
| [
{
"created": "Mon, 12 Oct 2020 17:37:14 GMT",
"version": "v1"
}
] | 2021-02-24 | [
[
"Bourget",
"Antoine",
""
],
[
"Giacomelli",
"Simone",
""
],
[
"Grimminger",
"Julius F.",
""
],
[
"Hanany",
"Amihay",
""
],
[
"Sperling",
"Marcus",
""
],
[
"Zhong",
"Zhenghao",
""
]
] | Magnetic quivers and Hasse diagrams for Higgs branches of rank $r$ 4d $\mathcal{N}=2$ SCFTs arising from $\mathbb{Z}_{\ell}$ $\mathcal{S}$-fold constructions are discussed. The magnetic quivers are derived using three different methods: 1) Using clues like dimension, global symmetry, and the folding parameter $\ell$ to guess the magnetic quiver. 2) From 6d $\mathcal{N}=(1,0)$ SCFTs as UV completions of 5d marginal theories, and specific FI deformations on their magnetic quiver, which is further folded by $\mathbb{Z}_{\ell}$. 3) From T-duality of Type IIA brane systems of 6d $\mathcal{N}=(1,0)$ SCFTs and explicit mass deformation of the resulting brane web followed by $\mathbb{Z}_{\ell}$ folding. A choice of the ungauging scheme, either on a long node or on a short node, yields two different moduli spaces related by an orbifold action, thus suggesting a larger set of SCFTs in four dimensions than previously expected. |
2012.08555 | Gideon Vos | Gideon Vos | The Large-$c$ Virasoro Identity Block is a Semi-Classical Liouville
Correlator | 26 pages, 3 figures and 2 appendices | null | 10.1007/JHEP05(2021)067 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It will be shown analytically that the light sector of the identity block of
a mixed heavy-light correlator in the large central charge limit is given by a
correlation function of light operators on an effective background geometry.
This geometry is generated by the presence of the heavy operators. It is shown
that this background geometry is a solution to the Liouville equation of motion
sourced by corresponding heavy vertex operators and subsequently that the light
sector of the identity block matches the Liouville correlation function in the
semi-classical limit. This method effectively captures the spirit of Einstein
gravity as a theory of dynamical geometry in AdS/CFT. The reason being that
Liouville theory is closely related to semi-classical asymptotically AdS$_3$
gravity.
| [
{
"created": "Tue, 15 Dec 2020 19:07:06 GMT",
"version": "v1"
}
] | 2021-05-26 | [
[
"Vos",
"Gideon",
""
]
] | It will be shown analytically that the light sector of the identity block of a mixed heavy-light correlator in the large central charge limit is given by a correlation function of light operators on an effective background geometry. This geometry is generated by the presence of the heavy operators. It is shown that this background geometry is a solution to the Liouville equation of motion sourced by corresponding heavy vertex operators and subsequently that the light sector of the identity block matches the Liouville correlation function in the semi-classical limit. This method effectively captures the spirit of Einstein gravity as a theory of dynamical geometry in AdS/CFT. The reason being that Liouville theory is closely related to semi-classical asymptotically AdS$_3$ gravity. |
2212.03801 | Volodymyr Gorkavenko | V.M. Gorkavenko, T.V. Gorkavenko, Yu.A. Sitenko, M.S. Tsarenkova | Induced vacuum energy density of quantum charged scalar matter in the
background of an impenetrable magnetic tube with the Neumann boundary
condition | 11 pages, 2 figures | Ukr. J. Phys. 2022, Vol.67 (10), 715-721 | 10.15407/ujpe67.10.715 | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider vacuum polarization of charged scalar matter field outside the
tube with magnetic flux inside. The tube is impenetrable for quantum matter and
the perfectly rigid (Neumann) boundary condition is imposed at its surface. We
write expressions for induced vacuum energy density for the case of a space of
arbitrary dimension and for an arbitrary value of the magnetic flux. We do the
numerical computation for the case of half-integer flux value in the London
flux units and (2+1)-dimensional space-time. We show that the induced vacuum
energy of the charged scalar matter field is induced if the Compton wavelength
of the matter field exceeds the transverse size of the tube considerably. We
show that vacuum energy is periodic in the value of the magnetic flux of the
tube, providing a quantum-field-theoretical manifestation of the Aharonov-Bohm
effect. The dependencies of the induced vacuum energy upon the distance from
the center of the tube under the different values of its thickness were
obtained. Obtained results are compared to the results obtained earlier in the
case of the perfectly reflecting (Dirichlet) boundary condition. It is shown
that the value of the induced vacuum energy density in the case of the Neumann
boundary condition is greater than in the case of the Dirichlet boundary
condition.
| [
{
"created": "Wed, 7 Dec 2022 17:36:13 GMT",
"version": "v1"
}
] | 2023-11-21 | [
[
"Gorkavenko",
"V. M.",
""
],
[
"Gorkavenko",
"T. V.",
""
],
[
"Sitenko",
"Yu. A.",
""
],
[
"Tsarenkova",
"M. S.",
""
]
] | We consider vacuum polarization of charged scalar matter field outside the tube with magnetic flux inside. The tube is impenetrable for quantum matter and the perfectly rigid (Neumann) boundary condition is imposed at its surface. We write expressions for induced vacuum energy density for the case of a space of arbitrary dimension and for an arbitrary value of the magnetic flux. We do the numerical computation for the case of half-integer flux value in the London flux units and (2+1)-dimensional space-time. We show that the induced vacuum energy of the charged scalar matter field is induced if the Compton wavelength of the matter field exceeds the transverse size of the tube considerably. We show that vacuum energy is periodic in the value of the magnetic flux of the tube, providing a quantum-field-theoretical manifestation of the Aharonov-Bohm effect. The dependencies of the induced vacuum energy upon the distance from the center of the tube under the different values of its thickness were obtained. Obtained results are compared to the results obtained earlier in the case of the perfectly reflecting (Dirichlet) boundary condition. It is shown that the value of the induced vacuum energy density in the case of the Neumann boundary condition is greater than in the case of the Dirichlet boundary condition. |
hep-th/0212071 | Cardella Matteo | Matteo A. Cardella and Daniela Zanon | Noncommutative deformation of four dimensional Einstein gravity | LaTex, 11 pages, comments added, to appear in Classical and Quantum
Gravity | Class.Quant.Grav. 20 (2003) L95-L104 | 10.1088/0264-9381/20/8/101 | IFUM-740-FT | hep-th | null | We construct a model for noncommutative gravity in four dimensions, which
reduces to the Einstein-Hilbert action in the commutative limit. Our proposal
is based on a gauge formulation of gravity with constraints. While the action
is metric independent, the constraints insure that it is not topological. We
find that the choice of the gauge group and of the constraints are crucial to
recover a correct deformation of standard gravity. Using the Seiberg-Witten map
the whole theory is described in terms of the vierbeins and of the Lorentz
transformations of its commutative counterpart. We solve explicitly the
constraints and exhibit the first order noncommutative corrections to the
Einstein-Hilbert action.
| [
{
"created": "Thu, 5 Dec 2002 18:15:28 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Dec 2002 16:24:41 GMT",
"version": "v2"
},
{
"created": "Tue, 17 Dec 2002 15:58:59 GMT",
"version": "v3"
},
{
"created": "Fri, 14 Mar 2003 17:17:37 GMT",
"version": "v4"
}
] | 2017-08-23 | [
[
"Cardella",
"Matteo A.",
""
],
[
"Zanon",
"Daniela",
""
]
] | We construct a model for noncommutative gravity in four dimensions, which reduces to the Einstein-Hilbert action in the commutative limit. Our proposal is based on a gauge formulation of gravity with constraints. While the action is metric independent, the constraints insure that it is not topological. We find that the choice of the gauge group and of the constraints are crucial to recover a correct deformation of standard gravity. Using the Seiberg-Witten map the whole theory is described in terms of the vierbeins and of the Lorentz transformations of its commutative counterpart. We solve explicitly the constraints and exhibit the first order noncommutative corrections to the Einstein-Hilbert action. |
hep-th/0012116 | Carsten Van de Bruck | M. Dorca and C. van de Bruck | Cosmological Perturbations in Brane Worlds: Brane Bending and
Anisotropic Stresses | 14 pages, two figures | Nucl.Phys. B605 (2001) 215-233 | 10.1016/S0550-3213(01)00213-9 | BROWN-HET-1244, DAMTP-2000-117 | hep-th | null | Using a metric-based formalism to treat cosmological perturbations, we
discuss the connection between anisotropic stress on the brane and brane
bending. First we discuss gauge-transformations, and draw our attention to
gauges, in which the brane-positions remain unperturbed. We provide a unique
gauge, where perturbations both on the brane and in the bulk can be treated
with generality. For vanishing anisotropic stresses on the brane, this gauge
reduces to the generalized longitudinal gauge. We further comment on the
gravitational interaction between the branes and the bulk.
| [
{
"created": "Wed, 13 Dec 2000 16:33:11 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Dorca",
"M.",
""
],
[
"van de Bruck",
"C.",
""
]
] | Using a metric-based formalism to treat cosmological perturbations, we discuss the connection between anisotropic stress on the brane and brane bending. First we discuss gauge-transformations, and draw our attention to gauges, in which the brane-positions remain unperturbed. We provide a unique gauge, where perturbations both on the brane and in the bulk can be treated with generality. For vanishing anisotropic stresses on the brane, this gauge reduces to the generalized longitudinal gauge. We further comment on the gravitational interaction between the branes and the bulk. |
hep-th/0611145 | Nikolay Pletnev | I.L. Buchbinder N.G. Pletnev | Hypermultiplet dependence of one-loop effective action in the ${\cal
N}=2$ superconformal theories | 29 pages, 1 figure, JHEP style | JHEP 0704:096,2007 | 10.1088/1126-6708/2007/04/096 | null | hep-th | null | We study one-loop low-energy effective action in the hypermultiplet sector
for ${\cal N}=2$ superconformal models. Any such a model contains ${\cal N}=2$
vector multiplet and some number of hypermultiplets. Gauge group $G$ is assumed
to be broken down to $\tilde{G}\times K$ where $K$ is an Abelian subgroup and a
background vector multiplet belongs to the Cartan subalgebra corresponding to
$K$. We find a general expression for the low-energy effective action in a form
of a proper-time integral. The leading space-time dependent contributions to
the effective action are derived and their bosonic component structure is
analyzed. The component action contains the terms with three and four
space-time derivatives of component fields and has the Chern-Simons form.
| [
{
"created": "Tue, 14 Nov 2006 06:10:05 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Nov 2006 08:54:14 GMT",
"version": "v2"
},
{
"created": "Mon, 27 Nov 2006 08:51:40 GMT",
"version": "v3"
},
{
"created": "Wed, 18 Apr 2007 04:32:46 GMT",
"version": "v4"
}
] | 2010-10-27 | [
[
"Pletnev",
"I. L. Buchbinder N. G.",
""
]
] | We study one-loop low-energy effective action in the hypermultiplet sector for ${\cal N}=2$ superconformal models. Any such a model contains ${\cal N}=2$ vector multiplet and some number of hypermultiplets. Gauge group $G$ is assumed to be broken down to $\tilde{G}\times K$ where $K$ is an Abelian subgroup and a background vector multiplet belongs to the Cartan subalgebra corresponding to $K$. We find a general expression for the low-energy effective action in a form of a proper-time integral. The leading space-time dependent contributions to the effective action are derived and their bosonic component structure is analyzed. The component action contains the terms with three and four space-time derivatives of component fields and has the Chern-Simons form. |
hep-th/0612055 | Sergey Slizovskiy | Sergey Slizovskiy | Yang-Mills instanton as a quantum black hole | 11 pages, revised | J. Phys. A 41:065402, 2008 | 10.1088/1751-8113/41/6/065402 | UUITP-21/06 | hep-th gr-qc | null | In terms of spin-charge separated variables, the Minkowski space Yang-Mills
BPST instanton describes a locally conformally flat doubly-wrapped cigar
manifold that can be viewed as a Euclidean quantum black hole. An ensemble of
instantons then corresponds to a ``spacetime foam'' that creates a locally
conformally flat spacetime from ``nothing'' as a quantum fluctuation.
| [
{
"created": "Thu, 7 Dec 2006 17:32:35 GMT",
"version": "v1"
},
{
"created": "Sun, 10 Dec 2006 08:54:47 GMT",
"version": "v2"
},
{
"created": "Sun, 7 Jan 2007 16:30:21 GMT",
"version": "v3"
},
{
"created": "Mon, 17 Sep 2007 13:37:05 GMT",
"version": "v4"
}
] | 2009-12-04 | [
[
"Slizovskiy",
"Sergey",
""
]
] | In terms of spin-charge separated variables, the Minkowski space Yang-Mills BPST instanton describes a locally conformally flat doubly-wrapped cigar manifold that can be viewed as a Euclidean quantum black hole. An ensemble of instantons then corresponds to a ``spacetime foam'' that creates a locally conformally flat spacetime from ``nothing'' as a quantum fluctuation. |
hep-th/9410049 | null | V.V.Mangazeev, S.M.Sergeev, Yu.G.Stroganov | New solution of vertex type tetrahedron equations | 12 pages, LaTeX, IHEP-94-106 | Mod.Phys.Lett. A10 (1995) 279-288 | 10.1142/S0217732395000314 | null | hep-th | null | In this paper we formulate a new N-state spin integrable model on a
three-dimensional lattice with spins interacting round each elementary cube of
the lattice. This model can be also reformulated as a vertex type model. Weight
functions of the model satisfy tetrahedron equations.
| [
{
"created": "Fri, 7 Oct 1994 17:53:35 GMT",
"version": "v1"
}
] | 2019-08-17 | [
[
"Mangazeev",
"V. V.",
""
],
[
"Sergeev",
"S. M.",
""
],
[
"Stroganov",
"Yu. G.",
""
]
] | In this paper we formulate a new N-state spin integrable model on a three-dimensional lattice with spins interacting round each elementary cube of the lattice. This model can be also reformulated as a vertex type model. Weight functions of the model satisfy tetrahedron equations. |
hep-th/9608060 | Toshiyuki Harano | Toshiyuki Harano and Masatoshi Sato | Multi-instanton calculus versus exact results in N=2 supersymmetric QCD | 32 pages, LaTeX, no figure | Nucl.Phys. B484 (1997) 167-195 | 10.1016/S0550-3213(96)00599-8 | KUNS-1403 HE(TH)96/06 | hep-th | null | Microscopic tests of the exact results are performed in $N=2$ supersymmetric
$SU(2)$ QCD. We present the complete construction of the multi-instanton in
$N=2$ supersymmetric QCD. All the defining equations of the super instanton are
reduced to the algebraic equations. Using this result, we calculate the
two-instanton contribution ${\cal F}_2$ to the prepotential ${\cal F}$ for the
arbitrary $N_f$ theories. For $N_f=0,1,2$, instanton calculus agrees with the
prediction of the exact results, however, for $N_f=3,4$, we find discrepancies
between them. We propose improved curves of the exact results for the massive
$N_f=3$ and massless $N_f=4$ theories.
| [
{
"created": "Sat, 10 Aug 1996 23:32:18 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Harano",
"Toshiyuki",
""
],
[
"Sato",
"Masatoshi",
""
]
] | Microscopic tests of the exact results are performed in $N=2$ supersymmetric $SU(2)$ QCD. We present the complete construction of the multi-instanton in $N=2$ supersymmetric QCD. All the defining equations of the super instanton are reduced to the algebraic equations. Using this result, we calculate the two-instanton contribution ${\cal F}_2$ to the prepotential ${\cal F}$ for the arbitrary $N_f$ theories. For $N_f=0,1,2$, instanton calculus agrees with the prediction of the exact results, however, for $N_f=3,4$, we find discrepancies between them. We propose improved curves of the exact results for the massive $N_f=3$ and massless $N_f=4$ theories. |
0901.4519 | Maaike van Zalk MSc | Bernard de Wit and Maaike van Zalk | Supergravity and M-Theory | 28 pages, LaTeX file | null | 10.1007/s10714-008-0751-0 | ITP-UU-08/73, SPIN-08/56 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Supergravity provides the effective field theories for string
compactifications. The deformation of the maximal supergravities by non-abelian
gauge interactions is only possible for a restricted class of charges.
Generically these `gaugings' involve a hierarchy of p-form fields which belong
to specific representations of the duality group. The group-theoretical
structure of this p-form hierarchy exhibits many interesting features. In the
case of maximal supergravity the class of allowed deformations has intriguing
connections with M/string theory.
| [
{
"created": "Wed, 28 Jan 2009 18:23:42 GMT",
"version": "v1"
}
] | 2009-11-13 | [
[
"de Wit",
"Bernard",
""
],
[
"van Zalk",
"Maaike",
""
]
] | Supergravity provides the effective field theories for string compactifications. The deformation of the maximal supergravities by non-abelian gauge interactions is only possible for a restricted class of charges. Generically these `gaugings' involve a hierarchy of p-form fields which belong to specific representations of the duality group. The group-theoretical structure of this p-form hierarchy exhibits many interesting features. In the case of maximal supergravity the class of allowed deformations has intriguing connections with M/string theory. |
0811.0268 | Fedele Lizzi | Fedele Lizzi | The Structure of Spacetime and Noncommutative Geometry | 30 pages, Talk given at the workshop: Geometry, Topology, QFT and
Cosmology, Paris, 28-30 May 2008. To appear in the proceedings | null | null | DSF-26-2008 ICCUB-08-134 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give a general and nontechnical review of some aspects of noncommutative
geometry as a tool to understand the structure of spacetime. We discuss the
motivations for the constructions of a noncommutative geometry, and the passage
from commutative to noncommutative spaces. We then give a brief description of
Connes approach to the standard model, of the noncommutative geometry of
strings and of field theory on noncommutative spaces. We also discuss the role
of symmetries and some possible consequences for cosmology.
| [
{
"created": "Mon, 3 Nov 2008 11:31:00 GMT",
"version": "v1"
}
] | 2008-11-04 | [
[
"Lizzi",
"Fedele",
""
]
] | We give a general and nontechnical review of some aspects of noncommutative geometry as a tool to understand the structure of spacetime. We discuss the motivations for the constructions of a noncommutative geometry, and the passage from commutative to noncommutative spaces. We then give a brief description of Connes approach to the standard model, of the noncommutative geometry of strings and of field theory on noncommutative spaces. We also discuss the role of symmetries and some possible consequences for cosmology. |
1503.03615 | Chanyong Park | Bum-Hoon Lee and Chanyong Park | Holographic Nucleons in the Nuclear Medium | 15 pages, 6 figures | null | 10.1016/j.physletb.2015.04.067 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the nucleon's rest mass and dispersion relation in the nuclear
medium which is holographically described by the thermal charged AdS geometry.
On this background, the chiral condensate plays an important role to determine
the nucleon's mass in both the vacuum and the nuclear medium. It also
significantly modifies the nucleon's dispersion relation. The nucleon's mass in
the high density regime increases with density as expected, while in the low
density regime it slightly decreases. We further study the splitting of the
nucleon's masses caused by the isospin interaction with the nuclear medium.
| [
{
"created": "Thu, 12 Mar 2015 07:37:45 GMT",
"version": "v1"
}
] | 2015-06-11 | [
[
"Lee",
"Bum-Hoon",
""
],
[
"Park",
"Chanyong",
""
]
] | We investigate the nucleon's rest mass and dispersion relation in the nuclear medium which is holographically described by the thermal charged AdS geometry. On this background, the chiral condensate plays an important role to determine the nucleon's mass in both the vacuum and the nuclear medium. It also significantly modifies the nucleon's dispersion relation. The nucleon's mass in the high density regime increases with density as expected, while in the low density regime it slightly decreases. We further study the splitting of the nucleon's masses caused by the isospin interaction with the nuclear medium. |
0807.5081 | Niklas Beisert | Till Bargheer, Niklas Beisert, Florian Loebbert | Boosting Nearest-Neighbour to Long-Range Integrable Spin Chains | 10 pages, v2: reference added, minor changes, v3: published version
with added/updated references | J.Stat.Mech.0811:L11001,2008 | 10.1088/1742-5468/2008/11/L11001 | AEI-2008-052 | hep-th cond-mat.stat-mech math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present an integrability-preserving recursion relation for the explicit
construction of long-range spin chain Hamiltonians. These chains are
generalizations of the Haldane-Shastry and Inozemtsev models and they play an
important role in recent advances in string/gauge duality. The method is based
on arbitrary nearest-neighbour integrable spin chains and it sheds light on the
moduli space of deformation parameters. We also derive the closed chain
asymptotic Bethe equations.
| [
{
"created": "Thu, 31 Jul 2008 14:39:25 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Aug 2008 16:26:31 GMT",
"version": "v2"
},
{
"created": "Mon, 27 Aug 2012 19:12:39 GMT",
"version": "v3"
}
] | 2012-08-28 | [
[
"Bargheer",
"Till",
""
],
[
"Beisert",
"Niklas",
""
],
[
"Loebbert",
"Florian",
""
]
] | We present an integrability-preserving recursion relation for the explicit construction of long-range spin chain Hamiltonians. These chains are generalizations of the Haldane-Shastry and Inozemtsev models and they play an important role in recent advances in string/gauge duality. The method is based on arbitrary nearest-neighbour integrable spin chains and it sheds light on the moduli space of deformation parameters. We also derive the closed chain asymptotic Bethe equations. |
hep-th/0609066 | Stephon Alexander | Stephon H.S. Alexander, Deepak Vaid | Gravity Induced Chiral Condensate Formation and the Cosmological
Constant | 19 pages, 1 figure | null | null | null | hep-th | null | It is well known that the covariant coupling of fermionic matter to gravity
induces a four-fermion interaction. The presence of this term in a homogenous
and isotropic space-time results in a BCS-like Hamiltonian and the formation of
a chiral condensate with a mass gap. We calculate the gap ($\Delta$) via a
mean-field approximation for minimally coupled fermionic fields in a FRW
background and find that it depends on the scale factor. The calculation also
yields a correction to the bare cosmological constant ($\Lambda_0$), and a
non-zero vev for $<\psi^\dag\psi>$ which then behaves as a scalar field. Hence
we conjecture that the presence of fermionic matter in gravity provides a
natural mechanism for relaxation of the $\Lambda_0$ and explains the existence
of a scalar field from (almost) first principles.
| [
{
"created": "Sun, 10 Sep 2006 20:45:38 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Alexander",
"Stephon H. S.",
""
],
[
"Vaid",
"Deepak",
""
]
] | It is well known that the covariant coupling of fermionic matter to gravity induces a four-fermion interaction. The presence of this term in a homogenous and isotropic space-time results in a BCS-like Hamiltonian and the formation of a chiral condensate with a mass gap. We calculate the gap ($\Delta$) via a mean-field approximation for minimally coupled fermionic fields in a FRW background and find that it depends on the scale factor. The calculation also yields a correction to the bare cosmological constant ($\Lambda_0$), and a non-zero vev for $<\psi^\dag\psi>$ which then behaves as a scalar field. Hence we conjecture that the presence of fermionic matter in gravity provides a natural mechanism for relaxation of the $\Lambda_0$ and explains the existence of a scalar field from (almost) first principles. |
hep-th/0109058 | Tamiaki Yoneya | Tamiaki Yoneya | World-Sheet String Duality and the Hidden Supersymmetry | 12 pages, talk presented at the 10th International Symposium on
String Theory (July 3-7, Fukuoka, Japan, 2001) and a part of lectures given
at the Summer Conference on Strings (July 16-27, Beijing, China, 2001) | null | 10.1063/1.1454382 | UT-KOMABA/01-05 | hep-th | null | It is reviewed how space-time supersymmetry is realized nonlinearly in open
superstring theory without making the GSO projection. We show that the
world-sheet string dualities, viz. dualities of open-closed strings and of
open-open strings, play crucial roles for the existence of 10 dimensional N=2
supersymmetry in a spontaneously broken phase. We also speculate on a possible
mechanism of the restoration of supersymmetry from the viewpoint of world-sheet
dynamics.
| [
{
"created": "Fri, 7 Sep 2001 05:35:32 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Yoneya",
"Tamiaki",
""
]
] | It is reviewed how space-time supersymmetry is realized nonlinearly in open superstring theory without making the GSO projection. We show that the world-sheet string dualities, viz. dualities of open-closed strings and of open-open strings, play crucial roles for the existence of 10 dimensional N=2 supersymmetry in a spontaneously broken phase. We also speculate on a possible mechanism of the restoration of supersymmetry from the viewpoint of world-sheet dynamics. |
hep-th/9812233 | Grigorii A. Vilkovisky | G. A. Vilkovisky (Lebedev Institute) | Vacuum amplification of the high-frequency electromagnetic radiation | 64 pages including 2 figures. Latex 2.09. Figures by METAFONT, 300
DPI. Execute the file "arttotal.tex" | Phys.Rev. D60 (1999) 065012 | 10.1103/PhysRevD.60.065012 | null | hep-th gr-qc | null | When an electrically charged source is capable of both emitting the
electromagnetic waves and creating charged particles from the vacuum, its
radiation gets so much amplified that only the backreaction of the vacuum makes
it finite. The released energy and charge are calculated in the high-frequency
approximation. The technique of expectation values is advanced and employed.
| [
{
"created": "Sat, 26 Dec 1998 02:07:49 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Vilkovisky",
"G. A.",
"",
"Lebedev Institute"
]
] | When an electrically charged source is capable of both emitting the electromagnetic waves and creating charged particles from the vacuum, its radiation gets so much amplified that only the backreaction of the vacuum makes it finite. The released energy and charge are calculated in the high-frequency approximation. The technique of expectation values is advanced and employed. |
0904.4841 | Lee Smolin | Lee Smolin | The quantization of unimodular gravity and the cosmological constant
problem | 22 pages, no figures | null | 10.1103/PhysRevD.80.084003 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A quantization of unimodular gravity is described, which results in a quantum
effective action which is also unimodular, ie a function of a metric with fixed
determinant. A consequence is that contributions to the energy momentum tensor
of the form of the metric times a spacetime constant, whether classical or
quantum, are not sources of curvature in the equations of motion derived from
the quantum effective action. This solves the first cosmological constant
problem, which is suppressing the enormous contributions to the cosmological
constant coming from quantum corrections. We discuss several forms of uniodular
gravity and put two of them, including one proposed by Henneaux and Teitelboim,
in constrained Hamiltonian form. The path integral is constructed from the
latter. Furthermore, the second cosmological constant problem, which is why the
measured value is so small, is also addressed by this theory. We argue that a
mechanism first proposed by Ng and van Dam for suppressing the cosmological
constant by quantum effects obtains at the semiclassical level.
| [
{
"created": "Thu, 30 Apr 2009 14:00:25 GMT",
"version": "v1"
}
] | 2013-05-29 | [
[
"Smolin",
"Lee",
""
]
] | A quantization of unimodular gravity is described, which results in a quantum effective action which is also unimodular, ie a function of a metric with fixed determinant. A consequence is that contributions to the energy momentum tensor of the form of the metric times a spacetime constant, whether classical or quantum, are not sources of curvature in the equations of motion derived from the quantum effective action. This solves the first cosmological constant problem, which is suppressing the enormous contributions to the cosmological constant coming from quantum corrections. We discuss several forms of uniodular gravity and put two of them, including one proposed by Henneaux and Teitelboim, in constrained Hamiltonian form. The path integral is constructed from the latter. Furthermore, the second cosmological constant problem, which is why the measured value is so small, is also addressed by this theory. We argue that a mechanism first proposed by Ng and van Dam for suppressing the cosmological constant by quantum effects obtains at the semiclassical level. |
1404.5235 | Luis Ibanez | Luis E. Ibanez and Irene Valenzuela | The Inflaton as a MSSM Higgs and Open String Modulus Monodromy Inflation | 6 pages. Misprints corrected, references added | null | 10.1016/j.physletb.2014.07.020 | IFT-UAM/CSIC-14-034 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It has been recently pointed out that the polarization BICEP2 results are
consistent with the identification of an inflaton mass m \simeq 10^{13} GeV
with the SUSY breaking scale in an MSSM with a fine-tuned SM Higgs. This
identification leads to a Higgs mass m_h \simeq 126 GeV, consistent with LHC
measurements. Here we propose that this naturally suggests to identify the
inflaton with the heavy MSSM Higgs system. The fact that the extrapolated Higgs
coupling lambda_{SM}\simeq 0 at scales below the Planck scale suggests the
Higgs degrees of freedom could be associated to a Wilson line or D-brane
position modulus in string theory. The Higgs system then has a shift symmetry
and an N=2 structure which guarantees that its potential has an approximate
quadratic chaotic inflation form. These moduli in string compactifications,
being compact, allow for a trans-Planckian inflaton field range analogous to a
version of monodromy inflation.
| [
{
"created": "Mon, 21 Apr 2014 16:22:08 GMT",
"version": "v1"
},
{
"created": "Wed, 7 May 2014 09:16:30 GMT",
"version": "v2"
}
] | 2015-06-19 | [
[
"Ibanez",
"Luis E.",
""
],
[
"Valenzuela",
"Irene",
""
]
] | It has been recently pointed out that the polarization BICEP2 results are consistent with the identification of an inflaton mass m \simeq 10^{13} GeV with the SUSY breaking scale in an MSSM with a fine-tuned SM Higgs. This identification leads to a Higgs mass m_h \simeq 126 GeV, consistent with LHC measurements. Here we propose that this naturally suggests to identify the inflaton with the heavy MSSM Higgs system. The fact that the extrapolated Higgs coupling lambda_{SM}\simeq 0 at scales below the Planck scale suggests the Higgs degrees of freedom could be associated to a Wilson line or D-brane position modulus in string theory. The Higgs system then has a shift symmetry and an N=2 structure which guarantees that its potential has an approximate quadratic chaotic inflation form. These moduli in string compactifications, being compact, allow for a trans-Planckian inflaton field range analogous to a version of monodromy inflation. |
hep-th/0012081 | Albion Lawrence | Matthew Kleban, Albion Lawrence and Stephen Shenker | Closed strings from nothing | 25 pages, 2 figures, uses harvmac, epsf and psfig, v2: references
added, v3: picture labels corrected | Phys.Rev. D64 (2001) 066002 | 10.1103/PhysRevD.64.066002 | SLAC-PUB-8735, SU-ITP-00/33 | hep-th | null | We study the physics of open strings in bosonic and type II string theories
in the presence of unstable D-branes. When the potential energy of the open
string tachyon is at its minimum, Sen has argued that only closed strings
remain in the perturbative spectrum. We explore the scenario of Yi and of
Bergman, Hori and Yi, who argue that the open string degrees of freedom are
strongly coupled and disappear through confinement. We discuss arguments using
open string field theory and worldsheet boundary RG flows, which seem to
indicate otherwise. We then describe a solitonic excitation of the open string
tachyon and gauge field with the charge and tension of a fundamental closed
string. This requires a double scaling limit where the tachyon is taken to its
minimal value and the electric field is taken to its maximum value. The
resulting flux tube has an unconstrained spatial profile; and for large
fundamental string charge, it appears to have light, weakly coupled open
strings living in the core. We argue that the flux tube acquires a size or
order $\alpha'$ through sigma model and string coupling effects; and we argue
that confinement effects make the light degrees of freedom heavy and strongly
interacting.
| [
{
"created": "Fri, 8 Dec 2000 23:33:10 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Dec 2000 08:29:47 GMT",
"version": "v2"
},
{
"created": "Mon, 9 Apr 2001 23:27:46 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Kleban",
"Matthew",
""
],
[
"Lawrence",
"Albion",
""
],
[
"Shenker",
"Stephen",
""
]
] | We study the physics of open strings in bosonic and type II string theories in the presence of unstable D-branes. When the potential energy of the open string tachyon is at its minimum, Sen has argued that only closed strings remain in the perturbative spectrum. We explore the scenario of Yi and of Bergman, Hori and Yi, who argue that the open string degrees of freedom are strongly coupled and disappear through confinement. We discuss arguments using open string field theory and worldsheet boundary RG flows, which seem to indicate otherwise. We then describe a solitonic excitation of the open string tachyon and gauge field with the charge and tension of a fundamental closed string. This requires a double scaling limit where the tachyon is taken to its minimal value and the electric field is taken to its maximum value. The resulting flux tube has an unconstrained spatial profile; and for large fundamental string charge, it appears to have light, weakly coupled open strings living in the core. We argue that the flux tube acquires a size or order $\alpha'$ through sigma model and string coupling effects; and we argue that confinement effects make the light degrees of freedom heavy and strongly interacting. |
1610.03449 | Yihao Yin | Per Sundell, Yihao Yin | New classes of bi-axially symmetric solutions to four-dimensional
Vasiliev higher spin gravity | v3: 48 pages; minor modifications; published on JHEP with additional
typesetting | JHEP 1701 (2017) 043 | 10.1007/JHEP01(2017)043 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present new infinite-dimensional spaces of bi-axially symmetric
asymptotically anti-de Sitter solutions to four-dimensional Vasiliev higher
spin gravity, obtained by modifications of the Ansatz used in arXiv:1107.1217,
which gave rise to a Type-D solution space. The current Ansatz is based on
internal semigroup algebras (without identity) generated by exponentials formed
out of the bi-axial symmetry generators. After having switched on the vacuum
gauge function, the resulting generalized Weyl tensor is given by a sum of
generalized Petrov type-D tensors that are Kerr-like or 2-brane-like in the
asymptotic AdS4 region, and the twistor space connection is smooth in twistor
space over finite regions of spacetime. We provide evidence for that the
linearized twistor space connection can be brought to Vasiliev gauge.
| [
{
"created": "Tue, 11 Oct 2016 18:05:39 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Nov 2016 22:44:12 GMT",
"version": "v2"
},
{
"created": "Tue, 17 Jan 2017 20:42:33 GMT",
"version": "v3"
}
] | 2017-01-19 | [
[
"Sundell",
"Per",
""
],
[
"Yin",
"Yihao",
""
]
] | We present new infinite-dimensional spaces of bi-axially symmetric asymptotically anti-de Sitter solutions to four-dimensional Vasiliev higher spin gravity, obtained by modifications of the Ansatz used in arXiv:1107.1217, which gave rise to a Type-D solution space. The current Ansatz is based on internal semigroup algebras (without identity) generated by exponentials formed out of the bi-axial symmetry generators. After having switched on the vacuum gauge function, the resulting generalized Weyl tensor is given by a sum of generalized Petrov type-D tensors that are Kerr-like or 2-brane-like in the asymptotic AdS4 region, and the twistor space connection is smooth in twistor space over finite regions of spacetime. We provide evidence for that the linearized twistor space connection can be brought to Vasiliev gauge. |
1011.2202 | David D. K. Chow | David D. K. Chow | Single-charge rotating black holes in four-dimensional gauged
supergravity | 9 pages | Class.Quant.Grav.28:032001,2011 | 10.1088/0264-9381/28/3/032001 | MIFPA-10-50 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider four-dimensional U(1)^4 gauged supergravity, and obtain
asymptotically AdS_4, non-extremal, charged, rotating black holes with one
non-zero U(1) charge. The thermodynamic quantities are computed. We obtain a
generalization that includes a NUT parameter. The general solution has a
discrete symmetry involving inversion of the rotation parameter, and has a
string frame metric that admits a rank-2 Killing-Stackel tensor.
| [
{
"created": "Tue, 9 Nov 2010 21:00:03 GMT",
"version": "v1"
}
] | 2011-05-13 | [
[
"Chow",
"David D. K.",
""
]
] | We consider four-dimensional U(1)^4 gauged supergravity, and obtain asymptotically AdS_4, non-extremal, charged, rotating black holes with one non-zero U(1) charge. The thermodynamic quantities are computed. We obtain a generalization that includes a NUT parameter. The general solution has a discrete symmetry involving inversion of the rotation parameter, and has a string frame metric that admits a rank-2 Killing-Stackel tensor. |
1409.1221 | Steven Thomas | Zachary Kenton and Steven Thomas | D-brane Potentials in the Warped Resolved Conifold and Natural Inflation | 41 pages, 3 appendices, 1 figure, PDFLaTex; various clarifications
added along with a new appendix on b-axions and wrapped D5 branes;version
matches the one published in JHEP | JHEP02(2015);127 | 10.1007/JHEP02(2015)127 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we obtain a model of Natural Inflation from string theory with
a Planckian decay constant. We investigate D-brane dynamics in the background
of the warped resolved conifold (WRC) throat approximation of Type IIB string
compactifications on Calabi-Yau manifolds. When we glue the throat to a compact
bulk Calabi-Yau, we generate a D-brane potential which is a solution to the
Laplace equation on the resolved conifold. We can exactly solve this equation,
including dependence on the angular coordinates. The solutions are valid down
to the tip of the resolved conifold, which is not the case for the more
commonly used deformed conifold. This allows us to exploit the effect of the
warping, which is strongest at the tip. We inflate near the tip using an
angular coordinate of a D5-brane in the WRC which has a discrete shift
symmetry, and feels a cosine potential, giving us a model of Natural Inflation,
from which it is possible to get a Planckian decay constant whilst maintaining
control over the backreaction. This is because the decay constant for a wrapped
brane contains powers of the warp factor, and so can be made large, while the
wrapping parameter can be kept small enough so that backreaction is under
control.
| [
{
"created": "Wed, 3 Sep 2014 20:00:04 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Oct 2014 14:28:31 GMT",
"version": "v2"
},
{
"created": "Fri, 27 Feb 2015 11:46:50 GMT",
"version": "v3"
}
] | 2015-03-02 | [
[
"Kenton",
"Zachary",
""
],
[
"Thomas",
"Steven",
""
]
] | In this paper we obtain a model of Natural Inflation from string theory with a Planckian decay constant. We investigate D-brane dynamics in the background of the warped resolved conifold (WRC) throat approximation of Type IIB string compactifications on Calabi-Yau manifolds. When we glue the throat to a compact bulk Calabi-Yau, we generate a D-brane potential which is a solution to the Laplace equation on the resolved conifold. We can exactly solve this equation, including dependence on the angular coordinates. The solutions are valid down to the tip of the resolved conifold, which is not the case for the more commonly used deformed conifold. This allows us to exploit the effect of the warping, which is strongest at the tip. We inflate near the tip using an angular coordinate of a D5-brane in the WRC which has a discrete shift symmetry, and feels a cosine potential, giving us a model of Natural Inflation, from which it is possible to get a Planckian decay constant whilst maintaining control over the backreaction. This is because the decay constant for a wrapped brane contains powers of the warp factor, and so can be made large, while the wrapping parameter can be kept small enough so that backreaction is under control. |
2003.11384 | Jarah Evslin | Jarah Evslin | The Ground State of the Sine-Gordon Soliton | 9 pages, no figures | null | 10.1007/JHEP07(2020)099 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | At one loop, we provide an explicit formula for the ground state of the
one-soliton sector in the Sine-Gordon theory. The state is given in the basis
of eigenstates of the field operator, or equivalently as a Schrodinger wave
functional. The formula readily generalizes to other solitons in other models
and as an example we also provide the ground state of the kink in the
(1+1)-dimensional $\phi^4$ double well.
| [
{
"created": "Wed, 25 Mar 2020 13:17:44 GMT",
"version": "v1"
}
] | 2020-08-26 | [
[
"Evslin",
"Jarah",
""
]
] | At one loop, we provide an explicit formula for the ground state of the one-soliton sector in the Sine-Gordon theory. The state is given in the basis of eigenstates of the field operator, or equivalently as a Schrodinger wave functional. The formula readily generalizes to other solitons in other models and as an example we also provide the ground state of the kink in the (1+1)-dimensional $\phi^4$ double well. |
1105.5606 | Simon Caron-Huot | Simon Caron-Huot | Superconformal symmetry and two-loop amplitudes in planar N=4 super
Yang-Mills | 25 pages, 2 figures and 1 notebook | null | 10.1007/JHEP12(2011)066 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Scattering amplitudes in superconformal field theories do not enjoy this
symmetry, because the definition of asymptotic states involve a notion of
infinity. Concentrating on planar $\mathcal{N}=4$ Yang-Mills, we consider a
generalization of scattering amplitudes which depends on twice as many
Grassmann variables. We conjecture that it restores at least half of the
superconformal symmetries, and all of the dual superconformal symmetries. The
object arises naturally as the dual of a null polygonal Wilson loop in an
$(x,\theta,\bar\theta)$ superspace. We support the conjecture by using it to
obtain the total differential of all $n$-point two-loop MHV amplitudes, and
showing that the result passes consistency checks. Potential all-loop
constraints are also discussed.
| [
{
"created": "Fri, 27 May 2011 16:34:46 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Aug 2011 19:59:00 GMT",
"version": "v2"
}
] | 2015-05-28 | [
[
"Caron-Huot",
"Simon",
""
]
] | Scattering amplitudes in superconformal field theories do not enjoy this symmetry, because the definition of asymptotic states involve a notion of infinity. Concentrating on planar $\mathcal{N}=4$ Yang-Mills, we consider a generalization of scattering amplitudes which depends on twice as many Grassmann variables. We conjecture that it restores at least half of the superconformal symmetries, and all of the dual superconformal symmetries. The object arises naturally as the dual of a null polygonal Wilson loop in an $(x,\theta,\bar\theta)$ superspace. We support the conjecture by using it to obtain the total differential of all $n$-point two-loop MHV amplitudes, and showing that the result passes consistency checks. Potential all-loop constraints are also discussed. |
2306.14788 | Olaf Hohm | Roberto Bonezzi, Christoph Chiaffrino, Felipe Diaz-Jaramillo and Olaf
Hohm | Gravity = Yang-Mills | 14 pages, extended version of Essay written for the Gravity Research
Foundation 2023 Awards, based on various talks given by the authors; v2: 16
pages, references and one equation added | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | This essay's title is justified by discussing a class of Yang-Mills-type
theories of which standard Yang-Mills theories are special cases but which is
broad enough to include gravity as a double field theory. We use the framework
of homotopy algebras, where conventional Yang-Mills theory is the tensor
product ${\cal K}\otimes \frak{g}$ of a `kinematic' algebra ${\cal K}$ with a
color Lie algebra $\frak{g}$. The larger class of Yang-Mills-type theories are
given by the tensor product of ${\cal K}$ with more general Lie-type algebras
of which ${\cal K}$ itself is an example, up to anomalies that can be cancelled
for the tensor product with a second copy $\bar{\cal K}$. Gravity is then given
by ${\cal K}\otimes \bar{\cal K}$.
| [
{
"created": "Mon, 26 Jun 2023 15:46:43 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Sep 2023 17:22:14 GMT",
"version": "v2"
}
] | 2023-09-08 | [
[
"Bonezzi",
"Roberto",
""
],
[
"Chiaffrino",
"Christoph",
""
],
[
"Diaz-Jaramillo",
"Felipe",
""
],
[
"Hohm",
"Olaf",
""
]
] | This essay's title is justified by discussing a class of Yang-Mills-type theories of which standard Yang-Mills theories are special cases but which is broad enough to include gravity as a double field theory. We use the framework of homotopy algebras, where conventional Yang-Mills theory is the tensor product ${\cal K}\otimes \frak{g}$ of a `kinematic' algebra ${\cal K}$ with a color Lie algebra $\frak{g}$. The larger class of Yang-Mills-type theories are given by the tensor product of ${\cal K}$ with more general Lie-type algebras of which ${\cal K}$ itself is an example, up to anomalies that can be cancelled for the tensor product with a second copy $\bar{\cal K}$. Gravity is then given by ${\cal K}\otimes \bar{\cal K}$. |
1107.3651 | Adi Armoni | Adi Armoni | Noncommutative Two-Dimensional Gauge Theories | 11 pages, LaTex. 4 eps figures | null | 10.1016/j.physletb.2011.09.064 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We elaborate on the dynamics of noncommutative two-dimensional gauge field
theories. We consider U(N) gauge theories with fermions in either the
fundamental or the adjoint representation. Noncommutativity leads to a rather
non-trivial dependence on theta (the noncommutativity parameter) and to a rich
dynamics. In particular the mass spectrum of the noncommutative U(1) theory
with adjoint matter is similar to that of ordinary (commutative)
two-dimensional large-N SU(N) gauge theory with adjoint matter. The
noncommutative version of the 't Hooft model receives a non-trivial
contribution to the vacuum polarization starting from three-loops order. As a
result the mass spectrum of the noncommutative theory is expected to be
different from that of the commutative theory.
| [
{
"created": "Tue, 19 Jul 2011 09:01:45 GMT",
"version": "v1"
}
] | 2015-05-28 | [
[
"Armoni",
"Adi",
""
]
] | We elaborate on the dynamics of noncommutative two-dimensional gauge field theories. We consider U(N) gauge theories with fermions in either the fundamental or the adjoint representation. Noncommutativity leads to a rather non-trivial dependence on theta (the noncommutativity parameter) and to a rich dynamics. In particular the mass spectrum of the noncommutative U(1) theory with adjoint matter is similar to that of ordinary (commutative) two-dimensional large-N SU(N) gauge theory with adjoint matter. The noncommutative version of the 't Hooft model receives a non-trivial contribution to the vacuum polarization starting from three-loops order. As a result the mass spectrum of the noncommutative theory is expected to be different from that of the commutative theory. |
1106.4991 | Roland Kirschner | D. Chicherin, S. Derkachov, D. Karakhanyan, R. Kirschner | Baxter operators for arbitrary spin | 37 pages LaTex, 7 figures, version for publication | null | 10.1016/j.nuclphysb.2011.08.029 | null | hep-th math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct Baxter operators for the homogeneous closed $\mathrm{XXX}$ spin
chain with the quantum space carrying infinite or finite dimensional $s\ell_2$
representations. All algebraic relations of Baxter operators and transfer
matrices are deduced uniformly from Yang-Baxter relations of the local building
blocks of these operators. This results in a systematic and very transparent
approach where the cases of finite and infinite dimensional representations are
treated in analogy. Simple relations between the Baxter operators of both cases
are obtained. We represent the quantum spaces by polynomials and build the
operators from elementary differentiation and multiplication operators. We
present compact explicit formulae for the action of Baxter operators on
polynomials.
| [
{
"created": "Fri, 24 Jun 2011 15:11:02 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Sep 2011 09:47:08 GMT",
"version": "v2"
},
{
"created": "Fri, 16 Sep 2011 08:37:38 GMT",
"version": "v3"
}
] | 2015-05-28 | [
[
"Chicherin",
"D.",
""
],
[
"Derkachov",
"S.",
""
],
[
"Karakhanyan",
"D.",
""
],
[
"Kirschner",
"R.",
""
]
] | We construct Baxter operators for the homogeneous closed $\mathrm{XXX}$ spin chain with the quantum space carrying infinite or finite dimensional $s\ell_2$ representations. All algebraic relations of Baxter operators and transfer matrices are deduced uniformly from Yang-Baxter relations of the local building blocks of these operators. This results in a systematic and very transparent approach where the cases of finite and infinite dimensional representations are treated in analogy. Simple relations between the Baxter operators of both cases are obtained. We represent the quantum spaces by polynomials and build the operators from elementary differentiation and multiplication operators. We present compact explicit formulae for the action of Baxter operators on polynomials. |
hep-th/9911200 | Yitpic | Jnanadeva Maharana (Bhubaneswar, Inst. Phys.) | Recent Developments in String Theory | 83 pages | null | null | YITP-99-62 | hep-th | null | The purpose of this short review is to present progresses in string theory in
the recent past. There have been very important developments in our
understanding of string dynamics, especially in the nonperturbative aspects. In
this context, dualities play a cardinal role. The string theory provides a
deeper understanding of the physics of special class of black holes from a
microscopical point of view and has resolved several important questions. It is
also recognized that M-theory provides a unified description of the five
perturbatively consistent string theories. The article covers some of these
aspects and highlights important progress made in string theory.
| [
{
"created": "Thu, 25 Nov 1999 06:55:29 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Maharana",
"Jnanadeva",
"",
"Bhubaneswar, Inst. Phys."
]
] | The purpose of this short review is to present progresses in string theory in the recent past. There have been very important developments in our understanding of string dynamics, especially in the nonperturbative aspects. In this context, dualities play a cardinal role. The string theory provides a deeper understanding of the physics of special class of black holes from a microscopical point of view and has resolved several important questions. It is also recognized that M-theory provides a unified description of the five perturbatively consistent string theories. The article covers some of these aspects and highlights important progress made in string theory. |
1812.02089 | Julio Oliva | Octavio Fierro, Daniela Narbona, Julio Oliva, Constanza Quijada and
Guillermo Rubilar | Scalar probes on wormholes in Lovelock theories with unique vacuum | V3: 22 pages, many figures. New results include: a) construction of
wormholes in Lovelock theories with unique vacuum in arbitrary even dimension
b) New wormhole geometries in arbitrary dimension, their mass in dimension
five and the analysis of scalar and geodesic probes on the new geometries.
V4: To appear in PRD
https://journals.aps.org/prd/accepted/28074Q9eEb111635e58d92335972c11cc4f1a50fe | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | In this paper we present a new family of wormhole geometries in Lovelock
theories with a unique vacuum, and study their stability under scalar field
perturbations. As the solutions already known in the literature for
Chern-Simons gravity on AdS, the new wormholes are characterized by a single
integration constant $\rho_{0}$, that parameterizes the contribution to the
mass coming from each boundary, which cancel each other, leading to a new
example of "mass without mass". The stability of these new configurations, as
well as other previously constructed in the literature is explored under scalar
field perturbations. The stability is ensured provided the mass of the scalar
perturbation is above a deformed Breitenlohner-Freedman bound which is
sensitive to the value of $\rho_{0}$.
| [
{
"created": "Wed, 5 Dec 2018 16:28:22 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Mar 2019 11:37:25 GMT",
"version": "v2"
},
{
"created": "Tue, 23 Apr 2024 17:18:25 GMT",
"version": "v3"
},
{
"created": "Fri, 28 Jun 2024 23:55:33 GMT",
"version": "v4"
}
] | 2024-07-02 | [
[
"Fierro",
"Octavio",
""
],
[
"Narbona",
"Daniela",
""
],
[
"Oliva",
"Julio",
""
],
[
"Quijada",
"Constanza",
""
],
[
"Rubilar",
"Guillermo",
""
]
] | In this paper we present a new family of wormhole geometries in Lovelock theories with a unique vacuum, and study their stability under scalar field perturbations. As the solutions already known in the literature for Chern-Simons gravity on AdS, the new wormholes are characterized by a single integration constant $\rho_{0}$, that parameterizes the contribution to the mass coming from each boundary, which cancel each other, leading to a new example of "mass without mass". The stability of these new configurations, as well as other previously constructed in the literature is explored under scalar field perturbations. The stability is ensured provided the mass of the scalar perturbation is above a deformed Breitenlohner-Freedman bound which is sensitive to the value of $\rho_{0}$. |
1511.08025 | Daliang Li | Daliang Li, David Meltzer, David Poland | Conformal Collider Physics from the Lightcone Bootstrap | 56 pages, 1 table | JHEP 1602 (2016) 143 | 10.1007/JHEP02(2016)143 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analytically study the lightcone limit of the conformal bootstrap
equations for 4-point functions containing global symmetry currents and the
stress tensor in 3d CFTs. We show that the contribution of the stress tensor to
the anomalous dimensions of large spin double-twist states is negative if and
only if the conformal collider physics bounds are satisfied. In the context of
AdS/CFT these results indicate a relation between the attractiveness of AdS
gravity and positivity of the CFT energy flux. We also study the contribution
of non-Abelian conserved currents to the anomalous dimensions of double-twist
operators, corresponding to the gauge binding energy of 2-particle states in
AdS. We show that the representation of the double-twist state determines the
sign of the gauge binding energy if and only if the coefficient appearing in
the current 3-point function satisfies a similar bound, which is equivalent to
an upper bound on the charge flux asymmetry of the CFT.
| [
{
"created": "Wed, 25 Nov 2015 12:04:51 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Feb 2016 03:10:20 GMT",
"version": "v2"
}
] | 2016-04-01 | [
[
"Li",
"Daliang",
""
],
[
"Meltzer",
"David",
""
],
[
"Poland",
"David",
""
]
] | We analytically study the lightcone limit of the conformal bootstrap equations for 4-point functions containing global symmetry currents and the stress tensor in 3d CFTs. We show that the contribution of the stress tensor to the anomalous dimensions of large spin double-twist states is negative if and only if the conformal collider physics bounds are satisfied. In the context of AdS/CFT these results indicate a relation between the attractiveness of AdS gravity and positivity of the CFT energy flux. We also study the contribution of non-Abelian conserved currents to the anomalous dimensions of double-twist operators, corresponding to the gauge binding energy of 2-particle states in AdS. We show that the representation of the double-twist state determines the sign of the gauge binding energy if and only if the coefficient appearing in the current 3-point function satisfies a similar bound, which is equivalent to an upper bound on the charge flux asymmetry of the CFT. |
hep-th/9310190 | Julian Lee | Julian Lee | Time-Dependent Backgrounds in 2D String Theory and the $S$-matrix
Generating Functional | 23 pages, BROWN-HET-925 | Phys. Rev. D 49, 2957 (1994) | 10.1103/PhysRevD.49.2957 | null | hep-th | null | We study the time-dependent tachyon backgrounds of the string collective
field theory using the formalism of the $S$-matrix generating functional. In
the process we clarify the connection between two ways of calculating the
$S$-matrix, the one using the Feynman rule and the other using the classical
solution to the nonlinear equation of motion. We develop the formalism for
general backgrounds and apply it to the gravitational sine-Gordon model in
detail. We reproduce the conformal field theory calculation which was based on
expanding around the static $c=1$ theory. Furthermore, we prove that the tree-
level partition function of this model shows the scaling behavior corresponding
to $c=0$ model in the limit $p \to 0$ of sine-Gordon `momentum' $p$.
| [
{
"created": "Fri, 29 Oct 1993 03:23:53 GMT",
"version": "v1"
}
] | 2013-11-13 | [
[
"Lee",
"Julian",
""
]
] | We study the time-dependent tachyon backgrounds of the string collective field theory using the formalism of the $S$-matrix generating functional. In the process we clarify the connection between two ways of calculating the $S$-matrix, the one using the Feynman rule and the other using the classical solution to the nonlinear equation of motion. We develop the formalism for general backgrounds and apply it to the gravitational sine-Gordon model in detail. We reproduce the conformal field theory calculation which was based on expanding around the static $c=1$ theory. Furthermore, we prove that the tree- level partition function of this model shows the scaling behavior corresponding to $c=0$ model in the limit $p \to 0$ of sine-Gordon `momentum' $p$. |
1608.06287 | Petr Horava | Petr Horava | Surprises with Nonrelativistic Naturalness | 15 pages, a few figures | Int. J. Mod. Phys. D25 (2016) 1645007 | 10.1142/S0218271816450073 | null | hep-th astro-ph.CO cond-mat.supr-con gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore the landscape of technical naturalness for nonrelativistic
systems, finding surprises which challenge and enrich our relativistic
intuition already in the simplest case of a single scalar field. While the
immediate applications are expected in condensed matter and perhaps in
cosmology, the study is motivated by the leading puzzles of fundamental physics
involving gravity: The cosmological constant problem and the Higgs mass
hierarchy problem.
| [
{
"created": "Mon, 22 Aug 2016 20:00:02 GMT",
"version": "v1"
}
] | 2016-12-21 | [
[
"Horava",
"Petr",
""
]
] | We explore the landscape of technical naturalness for nonrelativistic systems, finding surprises which challenge and enrich our relativistic intuition already in the simplest case of a single scalar field. While the immediate applications are expected in condensed matter and perhaps in cosmology, the study is motivated by the leading puzzles of fundamental physics involving gravity: The cosmological constant problem and the Higgs mass hierarchy problem. |
hep-th/0209162 | Stefano Arnone | Stefano Arnone, Antonio Gatti and Tim R. Morris | A proposal for a manifestly gauge invariant and universal calculus in
Yang-Mills theory | 54 pages, 24 figures, uses JHEP3.cls | Phys.Rev. D67 (2003) 085003 | 10.1103/PhysRevD.67.085003 | SHEP 02-22 | hep-th cond-mat hep-lat hep-ph | null | We uncover a method of calculation that proceeds at every step without fixing
the gauge or specifying details of the regularisation scheme. Results are
obtained by iterated use of integration by parts and gauge invariance
identities. The initial stages can even be computed diagrammatically. The
method is formulated within the framework of an exact renormalization group for
SU(N) Yang-Mills gauge theory, incorporating an effective cutoff through a
manifest spontaneously broken SU(N|N) gauge invariance. We demonstrate the
technique with a compact calculation of the one-loop beta function, achieving a
manifestly universal result, and without gauge fixing, for the first time at
finite N.
| [
{
"created": "Fri, 20 Sep 2002 16:12:20 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Arnone",
"Stefano",
""
],
[
"Gatti",
"Antonio",
""
],
[
"Morris",
"Tim R.",
""
]
] | We uncover a method of calculation that proceeds at every step without fixing the gauge or specifying details of the regularisation scheme. Results are obtained by iterated use of integration by parts and gauge invariance identities. The initial stages can even be computed diagrammatically. The method is formulated within the framework of an exact renormalization group for SU(N) Yang-Mills gauge theory, incorporating an effective cutoff through a manifest spontaneously broken SU(N|N) gauge invariance. We demonstrate the technique with a compact calculation of the one-loop beta function, achieving a manifestly universal result, and without gauge fixing, for the first time at finite N. |
1303.5035 | Dmitriy Pak | L.P. Zou, P.M. Zhang, D.G. Pak | Exact knot solutions in a generalized Skyrme-Faddeev model | 5 pages, 1 table, 10 figures, minor improvement of figures, accepted
for publication in PhysRevD | Phys. Rev. D 87,107701 (2013) | 10.1103/PhysRevD.87.107701 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a generalized Skyrme-Faddeev type theory with an additional scalar
field. In a special case of model parameters one has a theory which admits
exact knot solutions given by a class of exact toroidal solitons from
Aratyn-Ferreira-Zimerman (AFZ) integrable CP1 model. In a general case the
theory admits an exact knot solution for a unit Hopf charge. For higher Hopf
charges we perform numeric analysis of the solutions and obtain estimates for
the knot energies using energy minimization procedure based on ansatz with AFZ
field configurations and with rational functions. We show that AFZ
configurations provide a better approximate solutions. The corresponding knot
energies are in a good agreement with a standard law for the low energy bound,
E_H\simeq Q_H^{3/4}.
| [
{
"created": "Wed, 20 Mar 2013 19:20:35 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Apr 2013 12:48:56 GMT",
"version": "v2"
}
] | 2013-06-17 | [
[
"Zou",
"L. P.",
""
],
[
"Zhang",
"P. M.",
""
],
[
"Pak",
"D. G.",
""
]
] | We propose a generalized Skyrme-Faddeev type theory with an additional scalar field. In a special case of model parameters one has a theory which admits exact knot solutions given by a class of exact toroidal solitons from Aratyn-Ferreira-Zimerman (AFZ) integrable CP1 model. In a general case the theory admits an exact knot solution for a unit Hopf charge. For higher Hopf charges we perform numeric analysis of the solutions and obtain estimates for the knot energies using energy minimization procedure based on ansatz with AFZ field configurations and with rational functions. We show that AFZ configurations provide a better approximate solutions. The corresponding knot energies are in a good agreement with a standard law for the low energy bound, E_H\simeq Q_H^{3/4}. |
2209.15194 | Tai-Fu Feng | Tai-Fu Feng, Hai-Bin Zhang, Yan-Qing Dong, Yang Zhou | GKZ-system of the 2-loop self energy with 4 propagators | latex, 306 pages, including 1 figure + 254 pages of supplementary
material, accepted for publication in the European Physical Journal C. arXiv
admin note: text overlap with arXiv:2206.04224 | null | 10.1140/epjc/s10052-023-11438-6 | null | hep-th | http://creativecommons.org/publicdomain/zero/1.0/ | Applying the system of linear partial differential equations derived from the
Mellin-Barnes representation and the Miller transformation, we present the
GKZ-system of the Feynman integral of the 2-loop self energy diagram with 4
propagators. The codimension of the derived GKZ-system equals the number of
independent dimensionless ratios among the external momentum squared and
virtual mass squared. In total 536 hypergeometric functions are obtained in the
neighborhoods of the origin and infinity, in which 30 linearly independent
hypergeometric functions whose convergent regions have nonempty intersection
constitute a fundamental solution system in a proper subset of the whole
parameter space.
| [
{
"created": "Fri, 30 Sep 2022 02:40:58 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Mar 2023 08:02:36 GMT",
"version": "v2"
}
] | 2023-05-10 | [
[
"Feng",
"Tai-Fu",
""
],
[
"Zhang",
"Hai-Bin",
""
],
[
"Dong",
"Yan-Qing",
""
],
[
"Zhou",
"Yang",
""
]
] | Applying the system of linear partial differential equations derived from the Mellin-Barnes representation and the Miller transformation, we present the GKZ-system of the Feynman integral of the 2-loop self energy diagram with 4 propagators. The codimension of the derived GKZ-system equals the number of independent dimensionless ratios among the external momentum squared and virtual mass squared. In total 536 hypergeometric functions are obtained in the neighborhoods of the origin and infinity, in which 30 linearly independent hypergeometric functions whose convergent regions have nonempty intersection constitute a fundamental solution system in a proper subset of the whole parameter space. |
0907.0473 | Justin Khoury | Claudia de Rham, Justin Khoury, Andrew J. Tolley | Flat 3-Brane with Tension in Cascading Gravity | 4 pages, 3 figures. v2: version to appear in PRL | null | 10.1103/PhysRevLett.103.161601 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the Cascading Gravity brane-world scenario, our 3-brane lies within a
succession of lower-codimension branes, each with their own induced gravity
term, embedded into each other in a higher-dimensional space-time. In the
6+1-dimensional version of this scenario, we show that a 3-brane with tension
remains flat, at least for sufficiently small tension that the weak-field
approximation is valid. The bulk solution is nowhere singular and remains in
the perturbative regime everywhere.
| [
{
"created": "Thu, 2 Jul 2009 20:00:02 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Sep 2009 14:59:57 GMT",
"version": "v2"
}
] | 2013-05-29 | [
[
"de Rham",
"Claudia",
""
],
[
"Khoury",
"Justin",
""
],
[
"Tolley",
"Andrew J.",
""
]
] | In the Cascading Gravity brane-world scenario, our 3-brane lies within a succession of lower-codimension branes, each with their own induced gravity term, embedded into each other in a higher-dimensional space-time. In the 6+1-dimensional version of this scenario, we show that a 3-brane with tension remains flat, at least for sufficiently small tension that the weak-field approximation is valid. The bulk solution is nowhere singular and remains in the perturbative regime everywhere. |
2002.10279 | Parham Dehghani | Parham Dehghani, Kourosh Nozari | IR-deformed thermodynamics of quantum bouncers and the issue of
dimensional reduction | 15 pages, 7 figures, 1 table | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We probe the low-temperature behavior of a system of quantum bouncers as a
theoretical model for ultracold neutrons within a low energy modified version
of the standard quantum mechanics, due to the gravitational effects. Working in
one dimension, the energy spectrum and bound states of a deformed quantum
bouncer are obtained using the first-order WKB approximation, granted the very
low energy regime of the particle. In this manner, we can study energy levels
of a system of ultracold neutrons as an informative probe towards exploring the
low energy manifestation of semi-classical quantum gravitational effects. Our
calculated energy levels of ultracold neutrons are in accordance with the
observed energy levels, as obtained in the famous Nesvizhevsky \emph{et al.}
experiment, with a negative constant deformation, as dependent on the
deformation parameter. In advance, we tackle modified thermodynamics of a
system of quantum bouncers in the infrared regime via an ensemble theory both
in one dimension and also three dimensions, to seek for any trace of an
effective, thermodynamic dimensional reduction in this low energy regime of
semi-classical quantum gravity. While the issue of dimensional reduction has
been essentially assigned to the high energy regime, here we show that there is
a trace of an effective, thermodynamic dimensional reduction in infrared regime
with one important difference: in the high energy regime, the dimensional
reduction effectively occurs from $D=3$ to $D=1$, but here, in this low energy
regime, there is a trace of thermodynamic dimensional reduction from $D=3$ to
$D=2$.
| [
{
"created": "Mon, 24 Feb 2020 14:17:09 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Apr 2020 20:38:10 GMT",
"version": "v2"
}
] | 2020-05-04 | [
[
"Dehghani",
"Parham",
""
],
[
"Nozari",
"Kourosh",
""
]
] | We probe the low-temperature behavior of a system of quantum bouncers as a theoretical model for ultracold neutrons within a low energy modified version of the standard quantum mechanics, due to the gravitational effects. Working in one dimension, the energy spectrum and bound states of a deformed quantum bouncer are obtained using the first-order WKB approximation, granted the very low energy regime of the particle. In this manner, we can study energy levels of a system of ultracold neutrons as an informative probe towards exploring the low energy manifestation of semi-classical quantum gravitational effects. Our calculated energy levels of ultracold neutrons are in accordance with the observed energy levels, as obtained in the famous Nesvizhevsky \emph{et al.} experiment, with a negative constant deformation, as dependent on the deformation parameter. In advance, we tackle modified thermodynamics of a system of quantum bouncers in the infrared regime via an ensemble theory both in one dimension and also three dimensions, to seek for any trace of an effective, thermodynamic dimensional reduction in this low energy regime of semi-classical quantum gravity. While the issue of dimensional reduction has been essentially assigned to the high energy regime, here we show that there is a trace of an effective, thermodynamic dimensional reduction in infrared regime with one important difference: in the high energy regime, the dimensional reduction effectively occurs from $D=3$ to $D=1$, but here, in this low energy regime, there is a trace of thermodynamic dimensional reduction from $D=3$ to $D=2$. |
1509.05041 | Gregor Schollmeyer | Martin Reuter and Gregor M. Schollmeyer | The metric on field space, functional renormalization, and
metric-torsion quantum gravity | 73 pages, multiple figures | null | 10.1016/j.aop.2015.12.004 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Searching for new non-perturbatively renormalizable quantum gravity theories,
functional renormalization group (RG) flows are studied on a theory space of
action functionals depending on the metric and the torsion tensor, the latter
parameterized by three irreducible component fields. A detailed comparison with
Quantum Einstein-Cartan Gravity (QECG), Quantum Einstein Gravity (QEG), and
"tetrad-only" gravity, all based on different theory spaces, is performed. It
is demonstrated that, over a generic theory space, the construction of a
functional RG equation (FRGE) for the effective average action requires the
specification of a metric on the infinite-dimensional field manifold as an
additional input. A modified FRGE is obtained if this metric is
scale-dependent, as it happens in the metric-torsion system considered.
| [
{
"created": "Wed, 16 Sep 2015 20:10:48 GMT",
"version": "v1"
}
] | 2016-03-23 | [
[
"Reuter",
"Martin",
""
],
[
"Schollmeyer",
"Gregor M.",
""
]
] | Searching for new non-perturbatively renormalizable quantum gravity theories, functional renormalization group (RG) flows are studied on a theory space of action functionals depending on the metric and the torsion tensor, the latter parameterized by three irreducible component fields. A detailed comparison with Quantum Einstein-Cartan Gravity (QECG), Quantum Einstein Gravity (QEG), and "tetrad-only" gravity, all based on different theory spaces, is performed. It is demonstrated that, over a generic theory space, the construction of a functional RG equation (FRGE) for the effective average action requires the specification of a metric on the infinite-dimensional field manifold as an additional input. A modified FRGE is obtained if this metric is scale-dependent, as it happens in the metric-torsion system considered. |
hep-th/9402029 | null | A. Bassetto, F. De Biasio, L. Griguolo | Light--like Wilson loops and gauge invariance of Yang--Mills theory in
1+1 dimensions | 10 pages, plain TeX, DFPD 94/TH/2 | Phys.Rev.Lett. 72 (1994) 3141-3144 | 10.1103/PhysRevLett.72.3141 | null | hep-th | null | A light-like Wilson loop is computed in perturbation theory up to ${\cal O}
(g^4)$ for pure Yang--Mills theory in 1+1 dimensions, using Feynman and
light--cone gauges to check its gauge invariance. After dimensional
regularization in intermediate steps, a finite gauge invariant result is
obtained, which however does not exhibit abelian exponentiation. Our result is
at variance with the common belief that pure Yang--Mills theory is free in 1+1
dimensions, apart perhaps from topological effects.
| [
{
"created": "Fri, 4 Feb 1994 14:27:53 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Bassetto",
"A.",
""
],
[
"De Biasio",
"F.",
""
],
[
"Griguolo",
"L.",
""
]
] | A light-like Wilson loop is computed in perturbation theory up to ${\cal O} (g^4)$ for pure Yang--Mills theory in 1+1 dimensions, using Feynman and light--cone gauges to check its gauge invariance. After dimensional regularization in intermediate steps, a finite gauge invariant result is obtained, which however does not exhibit abelian exponentiation. Our result is at variance with the common belief that pure Yang--Mills theory is free in 1+1 dimensions, apart perhaps from topological effects. |
hep-th/0103145 | Shijong Ryang | Shijong Ryang | Dielectric D0-Branes in Near-Horizon D-Brane Backgrounds and D-Strings
under Electric RR Fluxes | 11 pages, LaTeX2e, no figures | Phys.Lett. B513 (2001) 163-172 | 10.1016/S0370-2693(01)00729-8 | null | hep-th | null | Using the nonabelian Dirac-Born-Infeld action with the Wess-Zumino term that
is constructed in consistent with T duality we examine the Myers dielectric
effect for multiple D0-branes in the near-horizon geometry of D4-branes. The
effect in the curved spacetime is also confirmed by the dual formulation based
on the abelian Dirac-Born-Infeld action of a D2-brane. Putting a system of
muliple D-strings in the external electric RR five-form flux, we construct a
noncommutative non-BPS solution where the D-strings expand into a spherical
D3-brane. We discuss the external field dependence of the funnel-like or
wormhole solution.
| [
{
"created": "Mon, 19 Mar 2001 04:38:27 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Ryang",
"Shijong",
""
]
] | Using the nonabelian Dirac-Born-Infeld action with the Wess-Zumino term that is constructed in consistent with T duality we examine the Myers dielectric effect for multiple D0-branes in the near-horizon geometry of D4-branes. The effect in the curved spacetime is also confirmed by the dual formulation based on the abelian Dirac-Born-Infeld action of a D2-brane. Putting a system of muliple D-strings in the external electric RR five-form flux, we construct a noncommutative non-BPS solution where the D-strings expand into a spherical D3-brane. We discuss the external field dependence of the funnel-like or wormhole solution. |
2307.12984 | Enrico Olivucci | Francesco Aprile, Enrico Olivucci | Multipoint fishnet Feynman diagrams: sequential splitting | Letter: 5 pages, 5 figures; Supplemental material: 21 pages, 8
figures | null | null | null | hep-th nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study fishnet Feynman diagrams defined by a certain triangulation of a
planar n-gon, with massless scalars propagating along and across the cuts. Our
solution theory uses the technique of Separation of Variables, in combination
with the theory of symmetric polynomials and Mellin space. The n-point
split-ladders are solved by a recursion where all building blocks are made
fully explicit. In particular, we find an elegant formula for the coefficient
functions of the light-cone leading logs. When the diagram grows into a
fishnet, we obtain new results exploiting a Cauchy identity decomposition of
the measure over separated variables. This leads to an elementary proof of the
Basso-Dixon formula at 4-points, while at n-points it provides a natural
OPE-like stratification of the diagram. Finally, we propose an independent
approach based on ``stampede" combinatorics to study the light-cone behaviour
of the diagrams as the partition function of a certain vertex model.
| [
{
"created": "Mon, 24 Jul 2023 17:59:52 GMT",
"version": "v1"
}
] | 2023-07-25 | [
[
"Aprile",
"Francesco",
""
],
[
"Olivucci",
"Enrico",
""
]
] | We study fishnet Feynman diagrams defined by a certain triangulation of a planar n-gon, with massless scalars propagating along and across the cuts. Our solution theory uses the technique of Separation of Variables, in combination with the theory of symmetric polynomials and Mellin space. The n-point split-ladders are solved by a recursion where all building blocks are made fully explicit. In particular, we find an elegant formula for the coefficient functions of the light-cone leading logs. When the diagram grows into a fishnet, we obtain new results exploiting a Cauchy identity decomposition of the measure over separated variables. This leads to an elementary proof of the Basso-Dixon formula at 4-points, while at n-points it provides a natural OPE-like stratification of the diagram. Finally, we propose an independent approach based on ``stampede" combinatorics to study the light-cone behaviour of the diagrams as the partition function of a certain vertex model. |
1809.05071 | Mahmoud Safari | Alessandro Codello, Mahmoud Safari, Gian Paolo Vacca, Omar Zanusso | Leading order CFT analysis of multi-scalar theories in d>2 | 58 pages; v2: minor clarifications added, to appear in EPJC | null | 10.1140/epjc/s10052-019-6817-1 | null | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate multi-field multicritical scalar theories using CFT
constraints on two- and three-point functions combined with the Schwinger-Dyson
equation. This is done in general and without assuming any symmetry for the
models, which we just define to admit a Landau-Ginzburg description that
includes the most general critical interactions built from monomials of the
form $\phi_{i_1} \cdots \phi_{i_m}$. For all such models we analyze to the
leading order of the $\epsilon$-expansion the anomalous dimensions of the
fields and those of the composite quadratic operators. For models with even $m$
we extend the analysis to an infinite tower of composite operators of arbitrary
order. The results are supplemented by the computation of some families of
structure constants. We also find the equations which constrain the nontrivial
critical theories at leading order and show that they coincide with the ones
obtained with functional perturbative RG methods. This is done for the case
$m=3$ as well as for all the even models. We ultimately specialize to $S_q$
symmetric models, which are related to the $q$-state Potts universality class,
and focus on three realizations appearing below the upper critical dimensions
$6$, $4$ and $\frac{10}{3}$, which can thus be nontrivial CFTs in three
dimensions.
| [
{
"created": "Thu, 13 Sep 2018 17:26:12 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Apr 2019 17:36:31 GMT",
"version": "v2"
}
] | 2019-05-01 | [
[
"Codello",
"Alessandro",
""
],
[
"Safari",
"Mahmoud",
""
],
[
"Vacca",
"Gian Paolo",
""
],
[
"Zanusso",
"Omar",
""
]
] | We investigate multi-field multicritical scalar theories using CFT constraints on two- and three-point functions combined with the Schwinger-Dyson equation. This is done in general and without assuming any symmetry for the models, which we just define to admit a Landau-Ginzburg description that includes the most general critical interactions built from monomials of the form $\phi_{i_1} \cdots \phi_{i_m}$. For all such models we analyze to the leading order of the $\epsilon$-expansion the anomalous dimensions of the fields and those of the composite quadratic operators. For models with even $m$ we extend the analysis to an infinite tower of composite operators of arbitrary order. The results are supplemented by the computation of some families of structure constants. We also find the equations which constrain the nontrivial critical theories at leading order and show that they coincide with the ones obtained with functional perturbative RG methods. This is done for the case $m=3$ as well as for all the even models. We ultimately specialize to $S_q$ symmetric models, which are related to the $q$-state Potts universality class, and focus on three realizations appearing below the upper critical dimensions $6$, $4$ and $\frac{10}{3}$, which can thus be nontrivial CFTs in three dimensions. |
hep-th/0510258 | George Savvidy K | G.Savvidy | Non-Abelian tensor gauge fields and extended current algebra.
Generalization of Yang-Mills theory | LaTex file, 23 pages, the normalization of second Lagrangian has been
changed | null | null | NRCPS-HE-05-55 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We suggest an infinite-dimensional extension of the gauge transformations
which includes non-Abelian tensor gauge fields. Extended gauge transformations
of non-Abelian tensor gauge fields form a new large group which has natural
geometrical interpretation it terms of extended current algebra associated with
compact Lie group. We shall demonstrate that one can construct two infinite
series of gauge invariant quadratic forms, so that a linear combination of them
comprises the general Lagrangian. The general Lagrangian exhibits enhanced
local gauge invariants with double number of gauge parameters and allows to
eliminate all negative norm states of the nonsymmetric second-rank tensor gauge
field. Therefore it describes two polarizations of helicity-two and
helicity-zero massless charged tensor gauge bosons.
| [
{
"created": "Sun, 30 Oct 2005 15:31:46 GMT",
"version": "v1"
},
{
"created": "Sun, 6 Nov 2005 16:53:02 GMT",
"version": "v2"
},
{
"created": "Sun, 20 Sep 2009 17:25:48 GMT",
"version": "v3"
}
] | 2009-09-20 | [
[
"Savvidy",
"G.",
""
]
] | We suggest an infinite-dimensional extension of the gauge transformations which includes non-Abelian tensor gauge fields. Extended gauge transformations of non-Abelian tensor gauge fields form a new large group which has natural geometrical interpretation it terms of extended current algebra associated with compact Lie group. We shall demonstrate that one can construct two infinite series of gauge invariant quadratic forms, so that a linear combination of them comprises the general Lagrangian. The general Lagrangian exhibits enhanced local gauge invariants with double number of gauge parameters and allows to eliminate all negative norm states of the nonsymmetric second-rank tensor gauge field. Therefore it describes two polarizations of helicity-two and helicity-zero massless charged tensor gauge bosons. |
1410.5508 | Eugene Lim | Eugene A. Lim | The Quantum Information of Cosmological Correlations | 9 pages. 2 figures | Phys. Rev. D 91, 083522 (2015) | 10.1103/PhysRevD.91.083522 | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It has been shown that the primordial perturbations sourced by inflation are
driven to classicality by unitary evolution alone. However, their coupling with
the environment such as photons and subsequent decoherence renders the
cosmological correlations quantum, losing primordial information in the
process. We argue that the quantumness of the resulting cosmological
correlations is given by quantum discord, which captures non-classical behavior
beyond quantum entanglement. By considering the environment as a quantum
channel in which primordial information contained in the perturbations is
transmitted to us, we can then ask how much of this information is
inaccessible. We show that this amount of information is given by the discord
of the joint primordial perturbations-environment system. To illustrate these
points, we model the joint system as a mixed bi-modal Gaussian state, and show
that quantum discord is dependent on the basis which decoherence occurs.
| [
{
"created": "Tue, 21 Oct 2014 00:37:31 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Jan 2015 17:19:39 GMT",
"version": "v2"
}
] | 2015-04-29 | [
[
"Lim",
"Eugene A.",
""
]
] | It has been shown that the primordial perturbations sourced by inflation are driven to classicality by unitary evolution alone. However, their coupling with the environment such as photons and subsequent decoherence renders the cosmological correlations quantum, losing primordial information in the process. We argue that the quantumness of the resulting cosmological correlations is given by quantum discord, which captures non-classical behavior beyond quantum entanglement. By considering the environment as a quantum channel in which primordial information contained in the perturbations is transmitted to us, we can then ask how much of this information is inaccessible. We show that this amount of information is given by the discord of the joint primordial perturbations-environment system. To illustrate these points, we model the joint system as a mixed bi-modal Gaussian state, and show that quantum discord is dependent on the basis which decoherence occurs. |
0711.0062 | Hristu Culetu | Hristu Culetu | Anisotropic fluid with time dependent viscosity coefficients | 7 pages, title changed, references added, no figures | null | null | null | hep-th gr-qc | null | A spacetime endowed with an anisotropic fluid is proposed for the interior of
a Schwarzschild black hole. The geometry has an instantaneous Minkowski form
and is a solution of Einstein's equations with a stress tensor on the r.h.s.
obeying all the energy conditions.
The interior fluid is compressible, with time dependent shear and bulk
viscosity coefficients. The energy density $\rho$ and the ''radial'' pressure
$p$ observe the equation of state $p + \rho = 0$ (as for dark energy), with no
pressures on $\theta-$ and $\phi-$ directions. However, the angular components
of the viscous part of the stress tensor are nonvanishing and equals the energy
density of the fluid.
| [
{
"created": "Thu, 1 Nov 2007 12:22:50 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Jan 2008 16:23:28 GMT",
"version": "v2"
},
{
"created": "Thu, 31 Jan 2008 17:35:19 GMT",
"version": "v3"
}
] | 2008-01-31 | [
[
"Culetu",
"Hristu",
""
]
] | A spacetime endowed with an anisotropic fluid is proposed for the interior of a Schwarzschild black hole. The geometry has an instantaneous Minkowski form and is a solution of Einstein's equations with a stress tensor on the r.h.s. obeying all the energy conditions. The interior fluid is compressible, with time dependent shear and bulk viscosity coefficients. The energy density $\rho$ and the ''radial'' pressure $p$ observe the equation of state $p + \rho = 0$ (as for dark energy), with no pressures on $\theta-$ and $\phi-$ directions. However, the angular components of the viscous part of the stress tensor are nonvanishing and equals the energy density of the fluid. |
0807.1259 | Hironobu Kihara | Hironobu Kihara, Muneto Nitta | Generalized Instantons on Complex Projective Spaces | 15 pages, a reference added | J.Math.Phys.50:012301,2009 | 10.1063/1.3050341 | KIAS-P08045 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a class of generalized self-duality relations in gauge theories on
the complex projective space with the Fubini-Study metric. Our theories consist
of only gauge fields with gauge group U(n). The pseudo-energies which we
consider contain higher orders of field strength and are labeled by an integer
p smaller than or equal to [n/2]. For making the Bogomol'nyi completion we need
non-single trace terms in the pseudo-energies, unlike the models defined on
spheres, which were studied previously. We construct an explicit solution of
codimension 2n to generalized self-duality equations as Bogomol'nyi equations,
by using a part of the spin connection.
| [
{
"created": "Tue, 8 Jul 2008 14:46:41 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Jul 2008 00:14:35 GMT",
"version": "v2"
}
] | 2009-02-10 | [
[
"Kihara",
"Hironobu",
""
],
[
"Nitta",
"Muneto",
""
]
] | We study a class of generalized self-duality relations in gauge theories on the complex projective space with the Fubini-Study metric. Our theories consist of only gauge fields with gauge group U(n). The pseudo-energies which we consider contain higher orders of field strength and are labeled by an integer p smaller than or equal to [n/2]. For making the Bogomol'nyi completion we need non-single trace terms in the pseudo-energies, unlike the models defined on spheres, which were studied previously. We construct an explicit solution of codimension 2n to generalized self-duality equations as Bogomol'nyi equations, by using a part of the spin connection. |
1011.2519 | Keun-young Kim | Nick Evans, Tigran Kalaydzhyan, Keun-young Kim, and Ingo Kirsch | Non-equilibrium physics at a holographic chiral phase transition | 25 pages, 11 figures | JHEP 1101:050,2011 | 10.1007/JHEP01(2011)050 | null | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The D3/D7 system holographically describes an N=2 gauge theory which
spontaneously breaks a chiral symmetry by the formation of a quark condensate
in the presence of a magnetic field. At finite temperature it displays a first
order phase transition. We study out of equilibrium dynamics associated with
this transition by placing probe D7 branes in a geometry describing a
boost-invariant expanding or contracting plasma. We use an adiabatic
approximation to track the evolution of the quark condensate in a heated system
and reproduce the phase structure expected from equilibrium dynamics. We then
study solutions of the full partial differential equation that describes the
evolution of out of equilibrium configurations to provide a complete
description of the phase transition including describing aspects of bubble
formation.
| [
{
"created": "Wed, 10 Nov 2010 22:23:35 GMT",
"version": "v1"
}
] | 2011-02-03 | [
[
"Evans",
"Nick",
""
],
[
"Kalaydzhyan",
"Tigran",
""
],
[
"Kim",
"Keun-young",
""
],
[
"Kirsch",
"Ingo",
""
]
] | The D3/D7 system holographically describes an N=2 gauge theory which spontaneously breaks a chiral symmetry by the formation of a quark condensate in the presence of a magnetic field. At finite temperature it displays a first order phase transition. We study out of equilibrium dynamics associated with this transition by placing probe D7 branes in a geometry describing a boost-invariant expanding or contracting plasma. We use an adiabatic approximation to track the evolution of the quark condensate in a heated system and reproduce the phase structure expected from equilibrium dynamics. We then study solutions of the full partial differential equation that describes the evolution of out of equilibrium configurations to provide a complete description of the phase transition including describing aspects of bubble formation. |
hep-th/0608033 | Eran Palti | Eran Palti | Aspects of moduli stabilisation in string and M-theory | DPhil Thesis at the University of Sussex. 188pp. v2:References added | null | null | null | hep-th | null | In this thesis we study compactifications of type II string theories and
M-theory to four dimensions. We construct the four-dimensional N=2
supergravities that arise from compactifications of type IIA string theory and
M-theory on manifolds with SU(3)-structure. We then study their potential for
moduli stabilisation and give explicit examples where all the moduli are
stabilised. We also study the effective action for type IIB conifold
transitions on Calabi-Yau manifolds. We find that, although there are small
regions in phase space that lead to a completed transition, generically the
moduli are classically trapped at the conifold point thereby halting the
transition.
| [
{
"created": "Fri, 4 Aug 2006 14:36:55 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Aug 2006 09:24:07 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Palti",
"Eran",
""
]
] | In this thesis we study compactifications of type II string theories and M-theory to four dimensions. We construct the four-dimensional N=2 supergravities that arise from compactifications of type IIA string theory and M-theory on manifolds with SU(3)-structure. We then study their potential for moduli stabilisation and give explicit examples where all the moduli are stabilised. We also study the effective action for type IIB conifold transitions on Calabi-Yau manifolds. We find that, although there are small regions in phase space that lead to a completed transition, generically the moduli are classically trapped at the conifold point thereby halting the transition. |
1604.00354 | Matthew Headrick | Michael Freedman and Matthew Headrick | Bit threads and holographic entanglement | 37 pages; v2: improvements to presentation, references added; v3:
minor improvements to presentation, references added, new affiliation for one
author added | Comm. Math. Phys. 352, 407 (2017) | 10.1007/s00220-016-2796-3 | BRX-TH-6302, NSF-KITP-16-051 | hep-th math.DG math.OC quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Ryu-Takayanagi (RT) formula relates the entanglement entropy of a region
in a holographic theory to the area of a corresponding bulk minimal surface.
Using the max flow-min cut principle, a theorem from network theory, we rewrite
the RT formula in a way that does not make reference to the minimal surface.
Instead, we invoke the notion of a "flow", defined as a divergenceless
norm-bounded vector field, or equivalently a set of Planck-thickness "bit
threads". The entanglement entropy of a boundary region is given by the maximum
flux out of it of any flow, or equivalently the maximum number of bit threads
that can emanate from it. The threads thus represent entanglement between
points on the boundary, and naturally implement the holographic principle. As
we explain, this new picture clarifies several conceptual puzzles surrounding
the RT formula. We give flow-based proofs of strong subadditivity and related
properties; unlike the ones based on minimal surfaces, these proofs correspond
in a transparent manner to the properties' information-theoretic meanings. We
also briefly discuss certain technical advantages that the flows offer over
minimal surfaces. In a mathematical appendix, we review the max flow-min cut
theorem on networks and on Riemannian manifolds, and prove in the network case
that the set of max flows varies Lipshitz continuously in the network
parameters.
| [
{
"created": "Fri, 1 Apr 2016 18:40:24 GMT",
"version": "v1"
},
{
"created": "Thu, 12 May 2016 13:46:41 GMT",
"version": "v2"
},
{
"created": "Thu, 19 Jan 2017 19:21:35 GMT",
"version": "v3"
}
] | 2018-08-23 | [
[
"Freedman",
"Michael",
""
],
[
"Headrick",
"Matthew",
""
]
] | The Ryu-Takayanagi (RT) formula relates the entanglement entropy of a region in a holographic theory to the area of a corresponding bulk minimal surface. Using the max flow-min cut principle, a theorem from network theory, we rewrite the RT formula in a way that does not make reference to the minimal surface. Instead, we invoke the notion of a "flow", defined as a divergenceless norm-bounded vector field, or equivalently a set of Planck-thickness "bit threads". The entanglement entropy of a boundary region is given by the maximum flux out of it of any flow, or equivalently the maximum number of bit threads that can emanate from it. The threads thus represent entanglement between points on the boundary, and naturally implement the holographic principle. As we explain, this new picture clarifies several conceptual puzzles surrounding the RT formula. We give flow-based proofs of strong subadditivity and related properties; unlike the ones based on minimal surfaces, these proofs correspond in a transparent manner to the properties' information-theoretic meanings. We also briefly discuss certain technical advantages that the flows offer over minimal surfaces. In a mathematical appendix, we review the max flow-min cut theorem on networks and on Riemannian manifolds, and prove in the network case that the set of max flows varies Lipshitz continuously in the network parameters. |
hep-th/9309117 | Itoyama | H. Itoyama and T. Oota | Sine-Gordon Theory with Higher Spin $N=2$ Supersymmetry and the Massless
Limit | 31 pages, Latex | Nucl.Phys.B419:632-646,1994 | 10.1016/0550-3213(94)90348-4 | OU-HET-182 | hep-th | null | The Sine-Gordon theory at $\frac{\beta^{2}}{8\pi} = \frac{2}{(2n+3)},\; n=
1,2,3 \cdots $ has a higher spin generalization of the $N=2$ supersymmetry with
the central terms which arises from the affine quantum group $U_{q}( \hat{s
\ell} (2))$. Observing that the algebraic determination of $S$ matrices $(
\approx {\rm quantum~ integrability })$ requires the saturation of the
generalized Bogomolny bound, we construct a variant of the Sine-Gordon theory
at this value of the coupling in the framework of $S$ matrix theory. The
spectrum consists of a doublet of fractionally charged solitons as well as that
of anti-solitons in addition to the ordinary breathers. The construction
demonstrates the existence of the theory other than the one by the truncation
to the breathers considered by Smirnov. The allowed values for the fractional
part of the fermion number is also determined. The central charge in the
massless limit is found to be $c= 1$ from the TBA calculation for nondiagonal S
matrices. The attendant $c=1$ conformal field theory is the gaussian model with
${\bf Z_{2}}$ graded chiral algebra at the radius parameter $r= \sqrt{2n+3}$.
In the course of the calculation, we find $4n+2$ zero modes from the
(anti-)soliton distributions.
| [
{
"created": "Wed, 22 Sep 1993 06:14:49 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Itoyama",
"H.",
""
],
[
"Oota",
"T.",
""
]
] | The Sine-Gordon theory at $\frac{\beta^{2}}{8\pi} = \frac{2}{(2n+3)},\; n= 1,2,3 \cdots $ has a higher spin generalization of the $N=2$ supersymmetry with the central terms which arises from the affine quantum group $U_{q}( \hat{s \ell} (2))$. Observing that the algebraic determination of $S$ matrices $( \approx {\rm quantum~ integrability })$ requires the saturation of the generalized Bogomolny bound, we construct a variant of the Sine-Gordon theory at this value of the coupling in the framework of $S$ matrix theory. The spectrum consists of a doublet of fractionally charged solitons as well as that of anti-solitons in addition to the ordinary breathers. The construction demonstrates the existence of the theory other than the one by the truncation to the breathers considered by Smirnov. The allowed values for the fractional part of the fermion number is also determined. The central charge in the massless limit is found to be $c= 1$ from the TBA calculation for nondiagonal S matrices. The attendant $c=1$ conformal field theory is the gaussian model with ${\bf Z_{2}}$ graded chiral algebra at the radius parameter $r= \sqrt{2n+3}$. In the course of the calculation, we find $4n+2$ zero modes from the (anti-)soliton distributions. |
hep-th/9610209 | Kazuya Yuasa | Kazuya Yuasa and Hiromichi Nakazato (Dept. of Phys., Waseda Univ.,
Japan) | Transition Amplitude within the Stochastic Quantization Scheme --
Perturbative Treatment | 12 pages, LaTeX, including 3 epsfigures | null | null | WU-HEP-96-12 | hep-th | null | The quantum mechanical transition amplitudes are calculated perturbatively on
the basis of the stochastic quantization method of Parisi and Wu. It is shown
that the stochastic scheme reproduces the ordinary result for the amplitude and
systematically incorporates higher-order effects, even at the lowest order.
| [
{
"created": "Mon, 28 Oct 1996 03:42:32 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Yuasa",
"Kazuya",
"",
"Dept. of Phys., Waseda Univ.,\n Japan"
],
[
"Nakazato",
"Hiromichi",
"",
"Dept. of Phys., Waseda Univ.,\n Japan"
]
] | The quantum mechanical transition amplitudes are calculated perturbatively on the basis of the stochastic quantization method of Parisi and Wu. It is shown that the stochastic scheme reproduces the ordinary result for the amplitude and systematically incorporates higher-order effects, even at the lowest order. |
hep-th/9305041 | Mark Wexler | Mark Wexler | Matrix Models on Large Graphs | 19pp. (uses harvmac and epsf), PUPT-1398 | Nucl.Phys. B410 (1993) 377-394 | 10.1016/0550-3213(93)90439-V | null | hep-th hep-lat | null | We consider the spherical limit of multi-matrix models on regular target
graphs, for instance single or multiple Potts models, or lattices of arbitrary
dimension. We show, to all orders in the low temperature expansion, that when
the degree of the target graph $\Delta\to\infty$, the free energy becomes
independent of the target graph, up to simple transformations of the matter
coupling constant. Furthermore, this universal free energy contains
contributions only from those surfaces which are made up of ``baby universes''
glued together into trees, all non-universal and non-tree contributions being
suppressed by inverse powers of $\Delta$. Each order of the free energy is put
into a simple, algebraic form.
| [
{
"created": "Tue, 11 May 1993 06:59:56 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Wexler",
"Mark",
""
]
] | We consider the spherical limit of multi-matrix models on regular target graphs, for instance single or multiple Potts models, or lattices of arbitrary dimension. We show, to all orders in the low temperature expansion, that when the degree of the target graph $\Delta\to\infty$, the free energy becomes independent of the target graph, up to simple transformations of the matter coupling constant. Furthermore, this universal free energy contains contributions only from those surfaces which are made up of ``baby universes'' glued together into trees, all non-universal and non-tree contributions being suppressed by inverse powers of $\Delta$. Each order of the free energy is put into a simple, algebraic form. |
2106.03886 | Alex Kinsella | Bobby Samir Acharya, Alex Kinsella, David R. Morrison | Non-Perturbative Heterotic Duals of M-Theory on $G_{2}$ Orbifolds | 42 pages, 4 figures; v2: Typos corrected | null | null | UCSB-Math-2021-02, KCL-PH-TH/2021-38 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | By fibering the duality between the $E_{8}\times E_{8}$ heterotic string on
$T^{3}$ and M-theory on K3, we study heterotic duals of M-theory compactified
on $G_{2}$ orbifolds of the form $T^{7}/\mathbb{Z}_{2}^{3}$. While the
heterotic compactification space is straightforward, the description of the
gauge bundle is subtle, involving the physics of point-like instantons on
orbifold singularities. By comparing the gauge groups of the dual theories, we
deduce behavior of a "half-$G_{2}$" limit, which is the M-theory analog of the
stable degeneration limit of F-theory. The heterotic backgrounds exhibit
point-like instantons that are localized on pairs of orbifold loci, similar to
the "gauge-locking" phenomenon seen in Ho\v{r}ava-Witten compactifications. In
this way, the geometry of the $G_{2}$ orbifold is translated to bundle data in
the heterotic background. While the instanton configuration looks surprising
from the perspective of the $E_{8}\times E_{8}$ heterotic string, it may be
understood as T-dual $\text{Spin}(32)/\mathbb{Z}_{2}$ instantons along with
winding shifts originating in a dual Type I compactification.
| [
{
"created": "Mon, 7 Jun 2021 18:06:11 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Sep 2021 02:15:04 GMT",
"version": "v2"
}
] | 2021-09-22 | [
[
"Acharya",
"Bobby Samir",
""
],
[
"Kinsella",
"Alex",
""
],
[
"Morrison",
"David R.",
""
]
] | By fibering the duality between the $E_{8}\times E_{8}$ heterotic string on $T^{3}$ and M-theory on K3, we study heterotic duals of M-theory compactified on $G_{2}$ orbifolds of the form $T^{7}/\mathbb{Z}_{2}^{3}$. While the heterotic compactification space is straightforward, the description of the gauge bundle is subtle, involving the physics of point-like instantons on orbifold singularities. By comparing the gauge groups of the dual theories, we deduce behavior of a "half-$G_{2}$" limit, which is the M-theory analog of the stable degeneration limit of F-theory. The heterotic backgrounds exhibit point-like instantons that are localized on pairs of orbifold loci, similar to the "gauge-locking" phenomenon seen in Ho\v{r}ava-Witten compactifications. In this way, the geometry of the $G_{2}$ orbifold is translated to bundle data in the heterotic background. While the instanton configuration looks surprising from the perspective of the $E_{8}\times E_{8}$ heterotic string, it may be understood as T-dual $\text{Spin}(32)/\mathbb{Z}_{2}$ instantons along with winding shifts originating in a dual Type I compactification. |
0910.0637 | Bal\'azs Pozsgay | H. Saleur, B. Pozsgay | Scattering and duality in the 2 dimensional OSP(2|2) Gross Neveu and
sigma models | 41 pages, 27 figures. v2: minor revision | JHEP 1002:008,2010 | 10.1007/JHEP02(2010)008 | null | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We write the thermodynamic Bethe ansatz for the massive OSp(2|2) Gross Neveu
and sigma models. We find evidence that the GN S matrix proposed by Bassi and
Leclair [12] is the correct one. We determine features of the sigma model S
matrix, which seem highly unconventional; we conjecture in particular a
relation between this sigma model and the complex sine-Gordon model at a
particular value of the coupling. We uncover an intriguing duality between the
OSp(2|2) GN (resp. sigma) model on the one hand, and the SO(4) sigma (resp. GN
model) on the other, somewhat generalizing to the massive case recent results
on OSp(4|2). Finally, we write the TBA for the (SUSY version of the) flow into
the random bond Ising model proposed by Cabra et al. [39], and conclude that
their S matrix cannot be correct.
| [
{
"created": "Sun, 4 Oct 2009 20:17:14 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Jan 2010 13:24:03 GMT",
"version": "v2"
}
] | 2010-02-11 | [
[
"Saleur",
"H.",
""
],
[
"Pozsgay",
"B.",
""
]
] | We write the thermodynamic Bethe ansatz for the massive OSp(2|2) Gross Neveu and sigma models. We find evidence that the GN S matrix proposed by Bassi and Leclair [12] is the correct one. We determine features of the sigma model S matrix, which seem highly unconventional; we conjecture in particular a relation between this sigma model and the complex sine-Gordon model at a particular value of the coupling. We uncover an intriguing duality between the OSp(2|2) GN (resp. sigma) model on the one hand, and the SO(4) sigma (resp. GN model) on the other, somewhat generalizing to the massive case recent results on OSp(4|2). Finally, we write the TBA for the (SUSY version of the) flow into the random bond Ising model proposed by Cabra et al. [39], and conclude that their S matrix cannot be correct. |
hep-th/9804029 | Andrea Pasquinucci | J.L.F. Barbon and A. Pasquinucci | A Note on Softly Broken MQCD | 10+1 pages, TeX. V2: small comments and acknowledgements added,
conclusions unchanged | Mod.Phys.Lett. A13 (1998) 1453-1462 | 10.1142/S0217732398001534 | CERN-TH/98-112, KUL-TF-98/18 | hep-th | null | We consider generic MQCD configurations with matter described by semi-infinte
D4-branes and softly broken supersymmetry. We show that the matter sector does
not introduce supersymmetry breaking parameters so that the most relevant
supersymmetry breaking operator at low energies is the gaugino mass term. By
studying the run-away properties of these models in the decoupling limit of the
adjoint matter, we argue that these softly broken MQCD configurations fail to
capture the infrared physics of QCD at scales below the gaugino mass scale.
| [
{
"created": "Fri, 3 Apr 1998 12:46:07 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Apr 1998 15:33:02 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Barbon",
"J. L. F.",
""
],
[
"Pasquinucci",
"A.",
""
]
] | We consider generic MQCD configurations with matter described by semi-infinte D4-branes and softly broken supersymmetry. We show that the matter sector does not introduce supersymmetry breaking parameters so that the most relevant supersymmetry breaking operator at low energies is the gaugino mass term. By studying the run-away properties of these models in the decoupling limit of the adjoint matter, we argue that these softly broken MQCD configurations fail to capture the infrared physics of QCD at scales below the gaugino mass scale. |
hep-th/9903132 | Steven Gubser | Mirjam Cvetic (University of Pennsylvania) and Steven S. Gubser
(Harvard) | Thermodynamic Stability and Phases of General Spinning Branes | 37 pages, 4 figures. v2: revised and reordered to improve clarity,
version to appear in JHEP | JHEP 9907:010,1999 | 10.1088/1126-6708/1999/07/010 | HUTP-A086, UPR-826-T | hep-th | null | We determine the thermodynamic stability conditions for near-extreme rotating
D3, M5, and M2-branes with multiple angular momenta. Critical exponents near
the boundary of stability are discussed and compared with a naive field theory
model. From a partially numerical computation we conclude that outside the
boundary of stability, the angular momentum density tends to become spatially
inhomogeneous.
Periodic Euclidean spinning brane solutions have been studied as models of
QCD. We explain how supersymmetry is restored in the world-volume field theory
in the limit of large spin and discuss the hierarchy of energy scales that
develops as this limit is approached.
| [
{
"created": "Tue, 16 Mar 1999 00:59:55 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Jul 1999 21:15:43 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Cvetic",
"Mirjam",
"",
"University of Pennsylvania"
],
[
"Gubser",
"Steven S.",
"",
"Harvard"
]
] | We determine the thermodynamic stability conditions for near-extreme rotating D3, M5, and M2-branes with multiple angular momenta. Critical exponents near the boundary of stability are discussed and compared with a naive field theory model. From a partially numerical computation we conclude that outside the boundary of stability, the angular momentum density tends to become spatially inhomogeneous. Periodic Euclidean spinning brane solutions have been studied as models of QCD. We explain how supersymmetry is restored in the world-volume field theory in the limit of large spin and discuss the hierarchy of energy scales that develops as this limit is approached. |
hep-th/0604067 | Shinya Tomizawa | Shinya Tomizawa and Masato Nozawa | Vaccum solutions of five-dimensional Einstein equations generated by
inverse scattering method II : Production of black ring solution | 12 pages, to be published in PRD | Phys.Rev. D73 (2006) 124034 | 10.1103/PhysRevD.73.124034 | null | hep-th | null | We study vacuum solutions of five-dimensional Einstein equations generated by
the inverse scattering method. We reproduce the black ring solution which was
found by Emparan and Reall by taking the Euclidean Levi-Civita metric plus
one-dimensional flat space as a seed. This transformation consists of two
successive processes; the first step is to perform the three-solitonic
transformation of the Euclidean Levi-Civita metric with one-dimensional flat
space as a seed. The resulting metric is the Euclidean C-metric with extra
one-dimensional flat space. The second is to perform the two-solitonic
transformation by taking it as a new seed. Our result may serve as a stepping
stone to find new exact solutions in higher dimensions.
| [
{
"created": "Mon, 10 Apr 2006 09:54:43 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Jun 2006 01:17:38 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Tomizawa",
"Shinya",
""
],
[
"Nozawa",
"Masato",
""
]
] | We study vacuum solutions of five-dimensional Einstein equations generated by the inverse scattering method. We reproduce the black ring solution which was found by Emparan and Reall by taking the Euclidean Levi-Civita metric plus one-dimensional flat space as a seed. This transformation consists of two successive processes; the first step is to perform the three-solitonic transformation of the Euclidean Levi-Civita metric with one-dimensional flat space as a seed. The resulting metric is the Euclidean C-metric with extra one-dimensional flat space. The second is to perform the two-solitonic transformation by taking it as a new seed. Our result may serve as a stepping stone to find new exact solutions in higher dimensions. |
2307.10570 | Yang Li | Yang Li, Kimball A. Milton, Iver Brevik | Thermal Casimir interactions in multi-particle systems: scattering
channel approach | null | null | null | null | hep-th physics.atm-clus quant-ph | http://creativecommons.org/licenses/by-nc-nd/4.0/ | Multi-particle thermal Casimir interactions are investigated, mostly in terms
of the Casimir entropy, from the point of view based on multiple-scattering
processes. The geometry of the scattering path is depicted in detail, and the
contributions from different types of channels, namely the transverse,
longitudinal and mixing channels, are demonstrated. The geometry of the path
can strongly influence the weight of each channel in the path. Negativity and
nonmonotonicity are commonly seen in the multi-particle Casimir entropy, the
sources of which are diverse, including the geometry of the path, the types of
polarization mixing, the polarizability of each particle, etc. Thermal
contributions from multi-particle scatterings can be significant in the system,
while the zero-temperature multi-particle scattering effects are insignificant.
Limiting behaviors from a multi-particle configuration to a continuum are
briefly explored.
| [
{
"created": "Thu, 20 Jul 2023 04:22:52 GMT",
"version": "v1"
}
] | 2023-07-21 | [
[
"Li",
"Yang",
""
],
[
"Milton",
"Kimball A.",
""
],
[
"Brevik",
"Iver",
""
]
] | Multi-particle thermal Casimir interactions are investigated, mostly in terms of the Casimir entropy, from the point of view based on multiple-scattering processes. The geometry of the scattering path is depicted in detail, and the contributions from different types of channels, namely the transverse, longitudinal and mixing channels, are demonstrated. The geometry of the path can strongly influence the weight of each channel in the path. Negativity and nonmonotonicity are commonly seen in the multi-particle Casimir entropy, the sources of which are diverse, including the geometry of the path, the types of polarization mixing, the polarizability of each particle, etc. Thermal contributions from multi-particle scatterings can be significant in the system, while the zero-temperature multi-particle scattering effects are insignificant. Limiting behaviors from a multi-particle configuration to a continuum are briefly explored. |
2111.06138 | Zhang-Yu Nie | Yu-Ni Yang, Chuan-Yin Xia, Zhang-Yu Nie and Hua-Bi Zeng | H-T phase diagrams of a holographic p-wave superfluid | 8 pages, 3 figures | null | 10.1007/JHEP04(2022)013 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the competition between the p-wave and the p+ip superfluid solutions
in a holographic model with applied magnetic field intensity $H$. We find that
when $H$ is turned on, both the grand potential and the critical temperature of
the p+ip solution are shifted, while the p-wave solution is only slightly
affected. Combining the effect of $H$ and back reaction parameter b, we build
$H-T$ phase diagrams with a slit region of p+ip phase. The zero (or finite)
value of $H$ at the starting point of the slit region is related to second (or
first) order of the p-wave phase transition at zero magnetic intensity, which
should be universal in systems with degenerate critical points (spinodal
points) at zero magnetic field.
| [
{
"created": "Thu, 11 Nov 2021 10:44:17 GMT",
"version": "v1"
}
] | 2022-04-20 | [
[
"Yang",
"Yu-Ni",
""
],
[
"Xia",
"Chuan-Yin",
""
],
[
"Nie",
"Zhang-Yu",
""
],
[
"Zeng",
"Hua-Bi",
""
]
] | We study the competition between the p-wave and the p+ip superfluid solutions in a holographic model with applied magnetic field intensity $H$. We find that when $H$ is turned on, both the grand potential and the critical temperature of the p+ip solution are shifted, while the p-wave solution is only slightly affected. Combining the effect of $H$ and back reaction parameter b, we build $H-T$ phase diagrams with a slit region of p+ip phase. The zero (or finite) value of $H$ at the starting point of the slit region is related to second (or first) order of the p-wave phase transition at zero magnetic intensity, which should be universal in systems with degenerate critical points (spinodal points) at zero magnetic field. |
2209.03422 | Nadira Boudiaf Prof | Nadira Boudiaf, Abdeldjalil Merdaci and Lyazid Chetouani | Scattering wave functions for Aharonov-Bohm-Coulomb field: Path integral
treatment | null | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Exact Green's functions related to Dirac particle submitted to the
combination of Aharonov-Bohm and Coulomb fields in (2+1) coordinate space are
analytically calculated via path integral formalism in both global and local
representations. The scattering normalized wavefunctions as well as the
corresponding continuous energy eigenvalues are extracted following this
approach. The interesting properties of the spinors are thus deduced after
symmetrization. According to the symmetric form for the Green's function, it is
shown that the equivalence with Dirac equation is undertaken with much ease.
Some particular cases are also considered.
| [
{
"created": "Wed, 7 Sep 2022 18:48:46 GMT",
"version": "v1"
}
] | 2022-09-09 | [
[
"Boudiaf",
"Nadira",
""
],
[
"Merdaci",
"Abdeldjalil",
""
],
[
"Chetouani",
"Lyazid",
""
]
] | Exact Green's functions related to Dirac particle submitted to the combination of Aharonov-Bohm and Coulomb fields in (2+1) coordinate space are analytically calculated via path integral formalism in both global and local representations. The scattering normalized wavefunctions as well as the corresponding continuous energy eigenvalues are extracted following this approach. The interesting properties of the spinors are thus deduced after symmetrization. According to the symmetric form for the Green's function, it is shown that the equivalence with Dirac equation is undertaken with much ease. Some particular cases are also considered. |
1603.05511 | Peter Bantay | P. Bantay | Character relations and replication identities in 2d Conformal Field
Theory | Some references added and conclusions greatly expanded | null | 10.1007/JHEP10(2016)020 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study replication identities satisfied by conformal characters of a 2D
CFT, providing a natural framework for a physics interpretation of the famous
Hauptmodul property of Monstrous Moonshine, and illustrate the underlying ideas
in simple cases.
| [
{
"created": "Thu, 17 Mar 2016 14:43:51 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Aug 2016 10:02:13 GMT",
"version": "v2"
}
] | 2016-11-03 | [
[
"Bantay",
"P.",
""
]
] | We study replication identities satisfied by conformal characters of a 2D CFT, providing a natural framework for a physics interpretation of the famous Hauptmodul property of Monstrous Moonshine, and illustrate the underlying ideas in simple cases. |
hep-th/9411179 | null | Jan Ambjorn | Quantization of Geometry | 101 pages, 31 figures. Lectures presented at the 1994 Les Houches
Summer School ``Fluctuating Geometries in Statistical Mechanics and Field
Theory.'' (also available at http://xxx.lanl.gov/lh94/ ) | null | null | null | hep-th gr-qc hep-lat | null | Contents:
1. Introduction
2. Bosonic propagators and random paths
3. Random surfaces and strings
4. Matrix models and two-dimensional quantum gravity
5. The mystery of $c > 1$
6. Euclidean quantum gravity in $d > 2$
7. Discussion
| [
{
"created": "Tue, 22 Nov 1994 09:59:26 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Jun 1995 09:59:26 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Ambjorn",
"Jan",
""
]
] | Contents: 1. Introduction 2. Bosonic propagators and random paths 3. Random surfaces and strings 4. Matrix models and two-dimensional quantum gravity 5. The mystery of $c > 1$ 6. Euclidean quantum gravity in $d > 2$ 7. Discussion |
hep-th/0409245 | Freddy Cachazo | Freddy Cachazo, Peter Svrcek, Edward Witten | Gauge Theory Amplitudes In Twistor Space And Holomorphic Anomaly | 8 pp | JHEP 0410:077,2004 | 10.1088/1126-6708/2004/10/077 | null | hep-th | null | We show that, in analyzing differential equations obeyed by one-loop gauge
theory amplitudes, one must take into account a certain holomorphic anomaly.
When this is done, the results are consistent with the simplest twistor-space
picture of the available one-loop amplitudes.
| [
{
"created": "Fri, 24 Sep 2004 02:26:41 GMT",
"version": "v1"
}
] | 2010-04-07 | [
[
"Cachazo",
"Freddy",
""
],
[
"Svrcek",
"Peter",
""
],
[
"Witten",
"Edward",
""
]
] | We show that, in analyzing differential equations obeyed by one-loop gauge theory amplitudes, one must take into account a certain holomorphic anomaly. When this is done, the results are consistent with the simplest twistor-space picture of the available one-loop amplitudes. |
2201.01986 | Emine \c{S}eyma Kutluk | Emine \c{S}eyma Kutluk | Adiabatic Solutions in General Relativity as Null Geodesics on the Space
of Boundary Diffeomorphisms | This article summarizes and slightly expands the works in
arXiv:2106.13268 and arXiv:1904.12869. To appear in the Proceedings of the
16th Marcel Grossmann Meeting (5-10 July 2021). Based on the talk presented
in the parallel session "Mathematical Problems of Relativistic Physics:
Classical and Quantum" | null | null | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use a trick similar to Weinberg's for adiabatic modes, in a Manton
approximation for general relativity on manifolds with spatial boundary. This
results in a description of the slow-time dependent solutions as null geodesics
on the space of boundary diffeomorphisms, with respect to a metric we prove to
be composed solely of the boundary data. We show how the solutions in the bulk
space is determined with the constraints of general relativity.
To give our description a larger perspective, we furthermore identify our
resulting Lagrangian as a generalized version of the covariantized Lagrangian
for continuum mechanics. We study the cases of 3+1 and 2+1 dimensions and show
for the solutions we propose, the Hamiltonian constraint becomes the real
homogeneous Monge-Ampere equation in the special case of two spatial
dimensions.
| [
{
"created": "Thu, 6 Jan 2022 09:24:54 GMT",
"version": "v1"
}
] | 2022-01-07 | [
[
"Kutluk",
"Emine Şeyma",
""
]
] | We use a trick similar to Weinberg's for adiabatic modes, in a Manton approximation for general relativity on manifolds with spatial boundary. This results in a description of the slow-time dependent solutions as null geodesics on the space of boundary diffeomorphisms, with respect to a metric we prove to be composed solely of the boundary data. We show how the solutions in the bulk space is determined with the constraints of general relativity. To give our description a larger perspective, we furthermore identify our resulting Lagrangian as a generalized version of the covariantized Lagrangian for continuum mechanics. We study the cases of 3+1 and 2+1 dimensions and show for the solutions we propose, the Hamiltonian constraint becomes the real homogeneous Monge-Ampere equation in the special case of two spatial dimensions. |
1508.02168 | Ryoko Yahagi | Ryoko Yahagi and Akio Sugamoto | Application of Kawaguchi Lagrangian formulation to string theory | 12 pages, minor modification, published in Phys. Lett. B | Phys. Lett. B 750 (2015) 294 | 10.1016/j.physletb.2015.09.034 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | String-scalar duality proposed by Y. Hosotani and membrane-scalar duality by
A. Sugamoto are reexamined in the context of Kawaguchi Lagrangian formulation.
The characteristic feature of this formulation is the indifferent nature of
fields and parameters. Therefore even the exchange of roles between fields and
parameters is possible. In this manner, dualities above can be proved easily.
Between Kawaguchi metrics of the dually related theories, a simple relation is
found. As an example of the exchange between fermionic fields and parameters, a
replacement of the role of Grassmann parameters of the 2-dimensional superspace
by the 9th component of Neveu-Schwarz-Ramond (NSR) fermions is studied in
superstring model. Compactification is also discussed in this model.
| [
{
"created": "Mon, 10 Aug 2015 08:41:44 GMT",
"version": "v1"
},
{
"created": "Sun, 4 Oct 2015 13:10:27 GMT",
"version": "v2"
}
] | 2015-10-07 | [
[
"Yahagi",
"Ryoko",
""
],
[
"Sugamoto",
"Akio",
""
]
] | String-scalar duality proposed by Y. Hosotani and membrane-scalar duality by A. Sugamoto are reexamined in the context of Kawaguchi Lagrangian formulation. The characteristic feature of this formulation is the indifferent nature of fields and parameters. Therefore even the exchange of roles between fields and parameters is possible. In this manner, dualities above can be proved easily. Between Kawaguchi metrics of the dually related theories, a simple relation is found. As an example of the exchange between fermionic fields and parameters, a replacement of the role of Grassmann parameters of the 2-dimensional superspace by the 9th component of Neveu-Schwarz-Ramond (NSR) fermions is studied in superstring model. Compactification is also discussed in this model. |
hep-th/0205180 | Marco Peloso | Sudipta Mukherji, Marco Peloso | Bouncing and cyclic universes from brane models | 13 pages, final version | Phys.Lett. B547 (2002) 297-305 | 10.1016/S0370-2693(02)02780-6 | null | hep-th astro-ph gr-qc hep-ph | null | We consider a D3-brane as boundary of a five dimensional charged anti de
Sitter black hole. We show that the charge of the black hole induces a regular
cosmological evolution for the scale factor of the brane, with a smooth
transition between a contracting and an eventual expanding phase. Simple
analytical solutions can be obtained in the case of a vanishing effective
cosmological constant on the brane. A nonvanishing cosmological constant, or
the inclusion of radiation on the brane, does not spoil the regularity of these
solutions at small radii, and observational constraints such as the ones from
primordial nucleosynthesis can be easily met. Fluctuations of brane fields
remain in the linear regime provided the minimal size of the scale factor is
sufficiently large. We conclude with an analysis of the Cardy-Verlinde formula
in this set up.
| [
{
"created": "Fri, 17 May 2002 15:47:50 GMT",
"version": "v1"
},
{
"created": "Tue, 21 May 2002 13:58:23 GMT",
"version": "v2"
},
{
"created": "Thu, 3 Oct 2002 22:53:25 GMT",
"version": "v3"
},
{
"created": "Mon, 25 Nov 2002 16:03:12 GMT",
"version": "v4"
}
] | 2010-04-05 | [
[
"Mukherji",
"Sudipta",
""
],
[
"Peloso",
"Marco",
""
]
] | We consider a D3-brane as boundary of a five dimensional charged anti de Sitter black hole. We show that the charge of the black hole induces a regular cosmological evolution for the scale factor of the brane, with a smooth transition between a contracting and an eventual expanding phase. Simple analytical solutions can be obtained in the case of a vanishing effective cosmological constant on the brane. A nonvanishing cosmological constant, or the inclusion of radiation on the brane, does not spoil the regularity of these solutions at small radii, and observational constraints such as the ones from primordial nucleosynthesis can be easily met. Fluctuations of brane fields remain in the linear regime provided the minimal size of the scale factor is sufficiently large. We conclude with an analysis of the Cardy-Verlinde formula in this set up. |
1512.03275 | Andr\'e Benevides | Teresa Bautista, Andr\'e Benevides, Atish Dabholkar, Akash Goel | Quantum Cosmology in Four Dimensions | 19 pages | null | 10.1088/1361-6382/ab6271 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze the cosmological solutions to the recently proposed nonlocal
quantum effective action for gravity with a cosmological term. We show that the
vacuum energy decays with a slow-roll parameter proportional to the anomalous
gravitational dressings.
| [
{
"created": "Thu, 10 Dec 2015 15:00:01 GMT",
"version": "v1"
}
] | 2020-01-22 | [
[
"Bautista",
"Teresa",
""
],
[
"Benevides",
"André",
""
],
[
"Dabholkar",
"Atish",
""
],
[
"Goel",
"Akash",
""
]
] | We analyze the cosmological solutions to the recently proposed nonlocal quantum effective action for gravity with a cosmological term. We show that the vacuum energy decays with a slow-roll parameter proportional to the anomalous gravitational dressings. |
1906.12287 | Federico Faedo | Federico Faedo, Pedro F. Ramirez | Exact charges from heterotic black holes | 32 pages; v2: references added | null | 10.1007/JHEP10(2019)033 | IFUM-1077-FT | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive exact relations to all orders in the $\alpha'$ expansion for the
charges of a bound system of heterotic strings, solitonic 5-branes and,
optionally, a Kaluza-Klein monopole. The expressions, which differ from those
of the zeroth-order supergravity approximation, coincide with the values
obtained when only the corrections of quadratic order in curvature are
included. Our computation relies on the consistency of string theory as a
quantum theory of gravity; the relations follow from the matching of the Wald
entropy with the microscopic degeneracy. In the heterotic frame, the
higher-curvature terms behave as delocalized sources that introduce a shift
between near-horizon and asymptotic charges. On the other hand, when described
in terms of lower-dimensional effective fields, the solution carries constant
charges over space which coincide with those of the asymptotic heterotic
fields. In addition, we describe why the Gauss-Bonnet term, which only captures
a subset of the relevant corrections of quadratic order in curvature, in some
cases succeeds to reproduce the correct value for the Wald entropy, while fails
in others.
| [
{
"created": "Fri, 28 Jun 2019 16:18:55 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Sep 2019 14:53:53 GMT",
"version": "v2"
}
] | 2019-10-23 | [
[
"Faedo",
"Federico",
""
],
[
"Ramirez",
"Pedro F.",
""
]
] | We derive exact relations to all orders in the $\alpha'$ expansion for the charges of a bound system of heterotic strings, solitonic 5-branes and, optionally, a Kaluza-Klein monopole. The expressions, which differ from those of the zeroth-order supergravity approximation, coincide with the values obtained when only the corrections of quadratic order in curvature are included. Our computation relies on the consistency of string theory as a quantum theory of gravity; the relations follow from the matching of the Wald entropy with the microscopic degeneracy. In the heterotic frame, the higher-curvature terms behave as delocalized sources that introduce a shift between near-horizon and asymptotic charges. On the other hand, when described in terms of lower-dimensional effective fields, the solution carries constant charges over space which coincide with those of the asymptotic heterotic fields. In addition, we describe why the Gauss-Bonnet term, which only captures a subset of the relevant corrections of quadratic order in curvature, in some cases succeeds to reproduce the correct value for the Wald entropy, while fails in others. |
1403.6511 | Anastasios Petkou | Robert G. Leigh, (Illinois U. Urbana), Anastasios C. Petkou (Aristotle
U. Thessaloniki), P. Marios Petropoulos (Ecole Polytechnique, CPHT) and
Prasanta K. Tripathy (Indian Institute of Technology, Chennai) | The Geroch group in Einstein spaces | 16 pages. v2 journal version | null | 10.1088/0264-9381/31/22/225006 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Geroch's solution-generating method is extended to the case of Einstein
spaces, which possess a Killing vector {{}and are thus asymptotically (locally)
(anti-)de Sitter}. This includes the reduction to a three-dimensional coset
space, the description of the dynamics in terms of a sigma-model and its
transformation properties under the $SL(2,\mathbb{R})$ group, and the
reconstruction of new four-dimensional Einstein spaces. The detailed analysis
of the space of solutions is performed using the Hamilton--Jacobi method in the
instance where the three-dimensional coset space is conformal to
$\mathbb{R}\times \mathcal{S}_2$. The cosmological constant appears in this
framework as a constant of motion and transforms under $SL(2,\mathbb{R})$.
| [
{
"created": "Tue, 25 Mar 2014 21:12:13 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Jun 2015 16:27:09 GMT",
"version": "v2"
}
] | 2015-06-19 | [
[
"Leigh",
"Robert G.",
"",
"Aristotle\n U. Thessaloniki"
],
[
"Petkou",
"Anastasios C.",
"",
"Aristotle\n U. Thessaloniki"
],
[
"Petropoulos",
"P. Marios",
"",
"Ecole Polytechnique, CPHT"
],
[
"Tripathy",
"Prasanta K.",
"",
"Indian Institute of Technology, Chennai"
]
] | Geroch's solution-generating method is extended to the case of Einstein spaces, which possess a Killing vector {{}and are thus asymptotically (locally) (anti-)de Sitter}. This includes the reduction to a three-dimensional coset space, the description of the dynamics in terms of a sigma-model and its transformation properties under the $SL(2,\mathbb{R})$ group, and the reconstruction of new four-dimensional Einstein spaces. The detailed analysis of the space of solutions is performed using the Hamilton--Jacobi method in the instance where the three-dimensional coset space is conformal to $\mathbb{R}\times \mathcal{S}_2$. The cosmological constant appears in this framework as a constant of motion and transforms under $SL(2,\mathbb{R})$. |
2204.06855 | Janos Balog | Sinya Aoki, Janos Balog, Tetsuya Onogi and Shuichi Yokoyama | Special flow equation and GKP-Witten relation | 11 pages | null | null | YITP-22-36, OU-HET-1140 | hep-th | http://creativecommons.org/licenses/by/4.0/ | We develop a framework for the reconstruction of the bulk theory dual to
conformal field theory (CFT) without any assumption by means of a flow
equation. To this end we investigate a minimal extension of the free flow
equation and find that at a special parametrization the conformal
transformation for a normalized smeared operator exactly becomes the isometry
of anti-de Sitter space (AdS). By employing this special flow equation to
O$(N)$ vector models, we explicitly show that the AdS geometry as well as the
scalar field satisfying the GKP-Witten relation concurrently emerge in this
framework.
| [
{
"created": "Thu, 14 Apr 2022 10:07:36 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Feb 2023 10:40:19 GMT",
"version": "v2"
}
] | 2023-02-24 | [
[
"Aoki",
"Sinya",
""
],
[
"Balog",
"Janos",
""
],
[
"Onogi",
"Tetsuya",
""
],
[
"Yokoyama",
"Shuichi",
""
]
] | We develop a framework for the reconstruction of the bulk theory dual to conformal field theory (CFT) without any assumption by means of a flow equation. To this end we investigate a minimal extension of the free flow equation and find that at a special parametrization the conformal transformation for a normalized smeared operator exactly becomes the isometry of anti-de Sitter space (AdS). By employing this special flow equation to O$(N)$ vector models, we explicitly show that the AdS geometry as well as the scalar field satisfying the GKP-Witten relation concurrently emerge in this framework. |
hep-th/9909028 | Arvind Rajaraman | A. Hanany, B. Kol and A. Rajaraman | Orientifold Points in M Theory | 11 pages, Latex, references added | JHEP 9910 (1999) 027 | 10.1088/1126-6708/1999/10/027 | null | hep-th | null | We identify the lift to M theory of the four types of orientifold points, and
show that they involve a chiral fermion on an orbifold fixed circle. From this
lift, we compute the number of normalizable ground states for the SO(N) and
$Sp(N)$ supersymmetric quantum mechanics with sixteen supercharges. The results
agree with known results obtained by the mass deformation method. The mass of
the orientifold is identified with the Casimir energy.
| [
{
"created": "Mon, 6 Sep 1999 16:22:08 GMT",
"version": "v1"
},
{
"created": "Sat, 18 Sep 1999 01:29:30 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Hanany",
"A.",
""
],
[
"Kol",
"B.",
""
],
[
"Rajaraman",
"A.",
""
]
] | We identify the lift to M theory of the four types of orientifold points, and show that they involve a chiral fermion on an orbifold fixed circle. From this lift, we compute the number of normalizable ground states for the SO(N) and $Sp(N)$ supersymmetric quantum mechanics with sixteen supercharges. The results agree with known results obtained by the mass deformation method. The mass of the orientifold is identified with the Casimir energy. |
1911.12533 | Koichi Nagasaki | Koichi Nagasaki | Time dependent Interface in AdS Black Hole Spacetime | 14 pages, 16 figures, some comments were added | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a D5-brane solution in AdS black hole spacetime. This is a defect
solution moving in subspace of AdS5 x S5. This non-local object is realized by
the probe D5-brane moving in black hole spacetime. We found this probe brane
does not penetrate the black hole horizon. We also found the solution does not
depend on the motion on S5 subspace.
| [
{
"created": "Thu, 28 Nov 2019 05:30:24 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Feb 2020 19:54:19 GMT",
"version": "v2"
}
] | 2020-02-17 | [
[
"Nagasaki",
"Koichi",
""
]
] | We consider a D5-brane solution in AdS black hole spacetime. This is a defect solution moving in subspace of AdS5 x S5. This non-local object is realized by the probe D5-brane moving in black hole spacetime. We found this probe brane does not penetrate the black hole horizon. We also found the solution does not depend on the motion on S5 subspace. |
1103.0032 | Olaf Hohm | Olaf Hohm | On factorizations in perturbative quantum gravity | 18 pages, v2: reference added, to appear in JHEP | null | 10.1007/JHEP04(2011)103 | MIT-CTP-4218 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Some features of Einstein gravity are most easily understood from string
theory but are not manifest at the level of the usual Lagrangian formulation.
One example is the factorization of gravity amplitudes into gauge theory
amplitudes. Based on the recently constructed `double field theory' and a
geometrical frame-like formalism developed by Siegel, we provide a framework of
perturbative Einstein gravity coupled to a 2-form and a dilaton in which, as a
consequence of T-duality, the Feynman rules factorize to all orders in
perturbation theory. We thereby establish the precise relation between the
field variables in different formulations and discuss the Lagrangian that, when
written in terms of these variables, makes a left-right factorization manifest.
| [
{
"created": "Mon, 28 Feb 2011 21:35:36 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Apr 2011 14:57:40 GMT",
"version": "v2"
}
] | 2015-05-27 | [
[
"Hohm",
"Olaf",
""
]
] | Some features of Einstein gravity are most easily understood from string theory but are not manifest at the level of the usual Lagrangian formulation. One example is the factorization of gravity amplitudes into gauge theory amplitudes. Based on the recently constructed `double field theory' and a geometrical frame-like formalism developed by Siegel, we provide a framework of perturbative Einstein gravity coupled to a 2-form and a dilaton in which, as a consequence of T-duality, the Feynman rules factorize to all orders in perturbation theory. We thereby establish the precise relation between the field variables in different formulations and discuss the Lagrangian that, when written in terms of these variables, makes a left-right factorization manifest. |
hep-th/9802039 | Tim Morris | Tim R. Morris | Elements of the Continuous Renormalization Group | Invited lectures at the Yukawa International Seminar '97. 20 pages
including 6 eps figs. LaTeX. PTPTeX style files included | Prog.Theor.Phys.Suppl.131:395-414,1998 | 10.1143/PTPS.131.395 | SHEP 98- | hep-th cond-mat hep-lat hep-ph | null | These two lectures cover some of the advances that underpin recent progress
in deriving continuum solutions from the exact renormalization group. We
concentrate on concepts and on exact non-perturbative statements, but in the
process will describe how real non-perturbative calculations can be done,
particularly within derivative expansion approximations. An effort has been
made to keep the lectures pedagogical and self-contained. Topics covered are
the derivation of the flow equations, their equivalence, continuum limits,
perturbation theory, truncations, derivative expansions, identification of
fixed points and eigenoperators, and the role of reparametrization invariance.
Some new material is included, in particular a demonstration of
non-perturbative renormalizability, and a discussion of ultraviolet
renormalons.
| [
{
"created": "Fri, 6 Feb 1998 20:01:40 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Morris",
"Tim R.",
""
]
] | These two lectures cover some of the advances that underpin recent progress in deriving continuum solutions from the exact renormalization group. We concentrate on concepts and on exact non-perturbative statements, but in the process will describe how real non-perturbative calculations can be done, particularly within derivative expansion approximations. An effort has been made to keep the lectures pedagogical and self-contained. Topics covered are the derivation of the flow equations, their equivalence, continuum limits, perturbation theory, truncations, derivative expansions, identification of fixed points and eigenoperators, and the role of reparametrization invariance. Some new material is included, in particular a demonstration of non-perturbative renormalizability, and a discussion of ultraviolet renormalons. |
1106.5475 | Kory Stiffler | S. James Gates Jr., James Parker, Vincent G. J. Rodgers, Leo
Rodriguez, and Kory Stiffler | A Detailed Investigation of First and Second Order Supersymmetries for
Off-Shell N = 2 and N = 4 Supermultiplets | 47 pages, reworded text relating to central charges, renumbered
pages, updated title page and references | Symmetry 7 (2015) no.2, 1080-1121 | 10.3390/sym7021080 | UMDEPP-11-009 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper investigates the d = 4, N = 4 Abelian, global Super-Yang Mills
system (SUSY-YM). It is shown how the N = 2 Fayet Hypermultiplet (FH) and N = 2
vector multiplet (VM) are embedded within. The central charges provide a
plethora of information as to further symmetries of the Lagrangian. Several of
these symmetries are calculated to second order. It is hoped that
investigations such as these may yield avenues to help solve the auxiliary
field closure problem for d = 4, N = 4, SUSY-YM and the d = 4, N = 2
Fayet-Hypermultiplet, without using an infinite number of auxiliary fields.
| [
{
"created": "Mon, 27 Jun 2011 18:51:33 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Oct 2011 19:23:45 GMT",
"version": "v2"
},
{
"created": "Wed, 14 Dec 2011 19:46:57 GMT",
"version": "v3"
}
] | 2019-03-12 | [
[
"Gates",
"S. James",
"Jr."
],
[
"Parker",
"James",
""
],
[
"Rodgers",
"Vincent G. J.",
""
],
[
"Rodriguez",
"Leo",
""
],
[
"Stiffler",
"Kory",
""
]
] | This paper investigates the d = 4, N = 4 Abelian, global Super-Yang Mills system (SUSY-YM). It is shown how the N = 2 Fayet Hypermultiplet (FH) and N = 2 vector multiplet (VM) are embedded within. The central charges provide a plethora of information as to further symmetries of the Lagrangian. Several of these symmetries are calculated to second order. It is hoped that investigations such as these may yield avenues to help solve the auxiliary field closure problem for d = 4, N = 4, SUSY-YM and the d = 4, N = 2 Fayet-Hypermultiplet, without using an infinite number of auxiliary fields. |
hep-th/0009226 | Arkady Tseytlin | A.A. Tseytlin | Superstrings in AdS in light cone gauge | 10 pages, latex. Contribution to the Proceedings of Strings 2000, Ann
Arbor | Int.J.Mod.Phys.A16:900-909,2001 | 10.1142/S0217751X01003986 | null | hep-th | null | We discuss light-cone gauge description of type IIB Green-Schwarz superstring
in AdS_5 x S^5 with a hope to make progress towards understanding spectrum of
this theory. As in flat space, fixing light cone gauge consists of two steps:
(i) fixing kappa symmetry in such a way that the fermionic part of the action
does not depend on x^-; (ii) fixing 2-d reparametrizations by x^+ = tau and a
condition on 2-d metric. In curved AdS space the latter cannot be the standard
conformal gauge and breaks manifest 2-d Lorentz invariance. It is natural,
therefore, to work in phase-space framework, imposing the GGRT gauge conditions
x^+= tau, P^+ =const. We obtain the resulting light cone superstring
Hamiltonian. This is a review of hep-th/0007036 and hep-th/0009171.
| [
{
"created": "Wed, 27 Sep 2000 17:14:27 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Sep 2000 17:21:36 GMT",
"version": "v2"
}
] | 2009-09-17 | [
[
"Tseytlin",
"A. A.",
""
]
] | We discuss light-cone gauge description of type IIB Green-Schwarz superstring in AdS_5 x S^5 with a hope to make progress towards understanding spectrum of this theory. As in flat space, fixing light cone gauge consists of two steps: (i) fixing kappa symmetry in such a way that the fermionic part of the action does not depend on x^-; (ii) fixing 2-d reparametrizations by x^+ = tau and a condition on 2-d metric. In curved AdS space the latter cannot be the standard conformal gauge and breaks manifest 2-d Lorentz invariance. It is natural, therefore, to work in phase-space framework, imposing the GGRT gauge conditions x^+= tau, P^+ =const. We obtain the resulting light cone superstring Hamiltonian. This is a review of hep-th/0007036 and hep-th/0009171. |
2102.09969 | Ulf Gran | Matteo Baggioli, Ulf Gran and Marcus Torns\"o | Collective modes of polarizable holographic media in magnetic fields | 14 pages, 6 figures; v2: references added | Journal of High Energy Physics volume 2021, Article number: 14
(2021) | 10.1007/JHEP06(2021)014 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a neutral holographic plasma with dynamical electromagnetic
interactions in a finite external magnetic field. The Coulomb interactions are
introduced via mixed boundary conditions for the Maxwell gauge field. The
collective modes at finite wave-vector are analyzed in detail and compared to
the magneto-hydrodynamics results valid only at small magnetic fields.
Surprisingly, at large magnetic field, we observe the appearance of two
plasmon-like modes whose corresponding effective plasma frequency grows with
the magnetic field and is not supported by any background charge density.
Finally, we identify a mode collision which allows us to study the radius of
convergence of the linearized hydrodynamics expansion as a function of the
external magnetic field. We find that the radius of convergence in momentum
space, related to the diffusive transverse electromagnetic mode, increases
quadratically with the strength of the magnetic field.
| [
{
"created": "Fri, 19 Feb 2021 15:08:10 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Mar 2021 14:33:00 GMT",
"version": "v2"
}
] | 2021-06-07 | [
[
"Baggioli",
"Matteo",
""
],
[
"Gran",
"Ulf",
""
],
[
"Tornsö",
"Marcus",
""
]
] | We consider a neutral holographic plasma with dynamical electromagnetic interactions in a finite external magnetic field. The Coulomb interactions are introduced via mixed boundary conditions for the Maxwell gauge field. The collective modes at finite wave-vector are analyzed in detail and compared to the magneto-hydrodynamics results valid only at small magnetic fields. Surprisingly, at large magnetic field, we observe the appearance of two plasmon-like modes whose corresponding effective plasma frequency grows with the magnetic field and is not supported by any background charge density. Finally, we identify a mode collision which allows us to study the radius of convergence of the linearized hydrodynamics expansion as a function of the external magnetic field. We find that the radius of convergence in momentum space, related to the diffusive transverse electromagnetic mode, increases quadratically with the strength of the magnetic field. |
0805.4407 | Davide Fioravanti | Davide Fioravanti, Paolo Grinza and Marco Rossi | The generalised scaling function: a note | Latex version, typos corrected, references and clarifications added | Nucl.Phys.B827:359-380,2010 | 10.1016/j.nuclphysb.2009.10.007 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A method for determining the generalised scaling function(s) arising in the
high spin behaviour of long operator anomalous dimensions in the planar $sl(2)$
sector of ${\cal N}=4$ SYM is proposed. The all-order perturbative expansion
around the strong coupling is detailed for the prototypical third and fourth
scaling functions, showing the emergence of the O(6) Non-Linear Sigma Model
mass-gap from different SYM 'mass' functions. Remarkably, only the fourth one
gains contribution from the non-BES reducible densities and also shows up, as
first, NLSM interaction and specific model dependence. Finally, the computation
of the $n$-th generalised function is sketched and might be easily finalised
for checks versus the computations in the sigma model or the complete string
theory.
| [
{
"created": "Wed, 28 May 2008 19:56:12 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Oct 2008 17:30:19 GMT",
"version": "v2"
}
] | 2009-12-15 | [
[
"Fioravanti",
"Davide",
""
],
[
"Grinza",
"Paolo",
""
],
[
"Rossi",
"Marco",
""
]
] | A method for determining the generalised scaling function(s) arising in the high spin behaviour of long operator anomalous dimensions in the planar $sl(2)$ sector of ${\cal N}=4$ SYM is proposed. The all-order perturbative expansion around the strong coupling is detailed for the prototypical third and fourth scaling functions, showing the emergence of the O(6) Non-Linear Sigma Model mass-gap from different SYM 'mass' functions. Remarkably, only the fourth one gains contribution from the non-BES reducible densities and also shows up, as first, NLSM interaction and specific model dependence. Finally, the computation of the $n$-th generalised function is sketched and might be easily finalised for checks versus the computations in the sigma model or the complete string theory. |
hep-th/9608014 | Reinhold Gebert | R. W. Gebert (IAS, Princeton), H. Nicolai (AEI, Potsdam) | An Affine String Vertex Operator Construction at Arbitrary Level | 15 pages, LaTeX2e, packages amsfonts, amssymb, xspace; final version
to appear in J. Math. Phys | J.Math.Phys. 38 (1997) 4435-4450 | 10.1063/1.532135 | DESY 96-166 | hep-th | null | An affine vertex operator construction at arbitrary level is presented which
is based on a completely compactified chiral bosonic string whose momentum
lattice is taken to be the (Minkowskian) affine weight lattice. This
construction is manifestly physical in the sense of string theory, i.e., the
vertex operators are functions of DDF ``oscillators'' and the Lorentz
generators, both of which commute with the Virasoro constraints. We therefore
obtain explicit representations of affine highest weight modules in terms of
physical (DDF) string states. This opens new perspectives on the representation
theory of affine Kac-Moody algebras, especially in view of the simultaneous
treatment of infinitely many affine highest weight representations of arbitrary
level within a single state space as required for the study of hyperbolic
Kac-Moody algebras. A novel interpretation of the affine Weyl group as the
``dimensional null reduction'' of the corresponding hyperbolic Weyl group is
given, which follows upon re-expression of the affine Weyl translations as
Lorentz boosts.
| [
{
"created": "Fri, 2 Aug 1996 15:07:10 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Aug 1996 12:04:43 GMT",
"version": "v2"
},
{
"created": "Tue, 29 Apr 1997 18:04:46 GMT",
"version": "v3"
}
] | 2009-10-30 | [
[
"Gebert",
"R. W.",
"",
"IAS, Princeton"
],
[
"Nicolai",
"H.",
"",
"AEI, Potsdam"
]
] | An affine vertex operator construction at arbitrary level is presented which is based on a completely compactified chiral bosonic string whose momentum lattice is taken to be the (Minkowskian) affine weight lattice. This construction is manifestly physical in the sense of string theory, i.e., the vertex operators are functions of DDF ``oscillators'' and the Lorentz generators, both of which commute with the Virasoro constraints. We therefore obtain explicit representations of affine highest weight modules in terms of physical (DDF) string states. This opens new perspectives on the representation theory of affine Kac-Moody algebras, especially in view of the simultaneous treatment of infinitely many affine highest weight representations of arbitrary level within a single state space as required for the study of hyperbolic Kac-Moody algebras. A novel interpretation of the affine Weyl group as the ``dimensional null reduction'' of the corresponding hyperbolic Weyl group is given, which follows upon re-expression of the affine Weyl translations as Lorentz boosts. |
0809.2589 | Claudio Ccapa Ttira | Claudio Ccapa Ttira, Cesar D. Fosco | Casimir effect at finite temperature in a real scalar field theory | 26 pages, 4 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use a functional approach to evaluate the Casimir free energy for a
self-interacting scalar field in $d+1$ dimensions, satisfying Dirichlet
boundary conditions on two parallel planes. When the interaction is turned off,
exact results for the free energy in some particular cases may be found, as
well as low and high temperature expansions based on a duality relation that
involves the inverse temperature $\beta$ and the distance between the mirrors,
$a$. For the interacting theory, we derive and implement two different
approaches. The first one is a perturbative expansion built with a thermal
propagator that satisfies Dirichlet boundary conditions on the mirrors. The
second approach uses the exact finite-temperature generating functional as a
starting point. In this sense, it allows one to include, for example,
non-perturbative thermal corrections into the Casimir calculation, in a
controlled way. We present results for calculations performed using those two
approaches.
| [
{
"created": "Mon, 15 Sep 2008 19:18:33 GMT",
"version": "v1"
}
] | 2008-09-16 | [
[
"Ttira",
"Claudio Ccapa",
""
],
[
"Fosco",
"Cesar D.",
""
]
] | We use a functional approach to evaluate the Casimir free energy for a self-interacting scalar field in $d+1$ dimensions, satisfying Dirichlet boundary conditions on two parallel planes. When the interaction is turned off, exact results for the free energy in some particular cases may be found, as well as low and high temperature expansions based on a duality relation that involves the inverse temperature $\beta$ and the distance between the mirrors, $a$. For the interacting theory, we derive and implement two different approaches. The first one is a perturbative expansion built with a thermal propagator that satisfies Dirichlet boundary conditions on the mirrors. The second approach uses the exact finite-temperature generating functional as a starting point. In this sense, it allows one to include, for example, non-perturbative thermal corrections into the Casimir calculation, in a controlled way. We present results for calculations performed using those two approaches. |
2404.10412 | Debabrata Ghorai | Debabrata Ghorai, Taewon Yuk, Young-Kwon Han, Sang-Jin Sin | Classification of the Mott gap | 16 pages, 6 figures, 3 tables | null | null | null | hep-th cond-mat.str-el | http://creativecommons.org/licenses/by/4.0/ | In this paper, we demonstrate the classification of the gap in a holographic
setup by studying the density of states. A gap can be classified into order gap
and Mott gap depending on the presence of the order due to the symmetry
breaking or not. A Mott insulating gap appears in the fermion spectrum due to
the strong Coulomb interaction between the electrons. We then classify all Mott
gaps as well as order gaps in one-flavor and two-flavor fermions. We also
identified possible non-minimal interactions that may produce a flatband.
| [
{
"created": "Tue, 16 Apr 2024 09:30:12 GMT",
"version": "v1"
}
] | 2024-04-17 | [
[
"Ghorai",
"Debabrata",
""
],
[
"Yuk",
"Taewon",
""
],
[
"Han",
"Young-Kwon",
""
],
[
"Sin",
"Sang-Jin",
""
]
] | In this paper, we demonstrate the classification of the gap in a holographic setup by studying the density of states. A gap can be classified into order gap and Mott gap depending on the presence of the order due to the symmetry breaking or not. A Mott insulating gap appears in the fermion spectrum due to the strong Coulomb interaction between the electrons. We then classify all Mott gaps as well as order gaps in one-flavor and two-flavor fermions. We also identified possible non-minimal interactions that may produce a flatband. |
hep-th/0307201 | Panagiota Kanti | P. Kanti (CERN), I. Olasagasti (U. of Ioannina) and K. Tamvakis (CERN
& U. of Ioannina) | Quest for Localized 4-D Black Holes in Brane Worlds. II : Removing the
bulk singularities | 18 pages, Latex file, 4 eps figures, typos corrected, references
added, version to appear in Phys. Rev. D | Phys.Rev. D68 (2003) 124001 | 10.1103/PhysRevD.68.124001 | CERN-TH/2003-140 | hep-th astro-ph gr-qc hep-ph | null | We analyze further the possibility of obtaining localized black hole
solutions in the framework of Randall-Sundrum-type brane-world models. We
consider black hole line-elements analytic at the horizon, namely,
generalizations of the Painleve and Vaidya metrics, which are taken to have a
decaying dependence of the horizon on the extra dimension. These backgrounds
have no other singularities apart from the standard black hole singularity
which is localized in the direction of the fifth dimension. Both line-elements
can be sustained by a regular, shell-like distribution of bulk matter of a
non-standard form. Of the two, the Vaidya line-element is shown to provide the
most attractive, natural choice: despite the scaling of the horizon, the 5D
spacetime has the same topological structure as the one of a RS-Schwarzschild
spacetime and demands a minimal bulk energy-momentum tensor.
| [
{
"created": "Mon, 21 Jul 2003 15:09:25 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Nov 2003 11:52:23 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Kanti",
"P.",
"",
"CERN"
],
[
"Olasagasti",
"I.",
"",
"U. of Ioannina"
],
[
"Tamvakis",
"K.",
"",
"CERN\n & U. of Ioannina"
]
] | We analyze further the possibility of obtaining localized black hole solutions in the framework of Randall-Sundrum-type brane-world models. We consider black hole line-elements analytic at the horizon, namely, generalizations of the Painleve and Vaidya metrics, which are taken to have a decaying dependence of the horizon on the extra dimension. These backgrounds have no other singularities apart from the standard black hole singularity which is localized in the direction of the fifth dimension. Both line-elements can be sustained by a regular, shell-like distribution of bulk matter of a non-standard form. Of the two, the Vaidya line-element is shown to provide the most attractive, natural choice: despite the scaling of the horizon, the 5D spacetime has the same topological structure as the one of a RS-Schwarzschild spacetime and demands a minimal bulk energy-momentum tensor. |
1505.03739 | Kevin Morand | Xavier Bekaert, Kevin Morand | Connections and dynamical trajectories in generalised Newton-Cartan
gravity II. An ambient perspective | 71 pages, 3 figures; v2: New material added, Sections 2.3 and 3.3
postponed to future work. Matches published version. 77 pages, 2 figures | Journal of Mathematical Physics 59, 072503 (2018) | 10.1063/1.5030328 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Connections compatible with degenerate metric structures are known to possess
peculiar features: on the one hand, the compatibility conditions involve
restrictions on the torsion; on the other hand, torsionfree compatible
connections are not unique, the arbitrariness being encoded in a tensor field
whose type depends on the metric structure. Nonrelativistic structures
typically fall under this scheme, the paradigmatic example being a
contravariant degenerate metric whose kernel is spanned by a one-form.
Torsionfree compatible (i.e. Galilean) connections are characterised by the
gift of a two-form (the force field). Whenever the two-form is closed, the
connection is said Newtonian. Such a nonrelativistic spacetime is known to
admit an ambient description as the orbit space of a gravitational wave with
parallel rays. The leaves of the null foliation are endowed with a
nonrelativistic structure dual to the Newtonian one, dubbed Carrollian
spacetime. We propose a generalisation of this unifying framework by
introducing a new non-Lorentzian ambient metric structure of which we study the
geometry. We characterise the space of (torsional) connections preserving such
a metric structure which is shown to project to (resp. embed) the most general
class of (torsional) Galilean (resp. Carrollian) connections.
| [
{
"created": "Thu, 14 May 2015 14:43:48 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Nov 2018 10:14:07 GMT",
"version": "v2"
}
] | 2018-12-03 | [
[
"Bekaert",
"Xavier",
""
],
[
"Morand",
"Kevin",
""
]
] | Connections compatible with degenerate metric structures are known to possess peculiar features: on the one hand, the compatibility conditions involve restrictions on the torsion; on the other hand, torsionfree compatible connections are not unique, the arbitrariness being encoded in a tensor field whose type depends on the metric structure. Nonrelativistic structures typically fall under this scheme, the paradigmatic example being a contravariant degenerate metric whose kernel is spanned by a one-form. Torsionfree compatible (i.e. Galilean) connections are characterised by the gift of a two-form (the force field). Whenever the two-form is closed, the connection is said Newtonian. Such a nonrelativistic spacetime is known to admit an ambient description as the orbit space of a gravitational wave with parallel rays. The leaves of the null foliation are endowed with a nonrelativistic structure dual to the Newtonian one, dubbed Carrollian spacetime. We propose a generalisation of this unifying framework by introducing a new non-Lorentzian ambient metric structure of which we study the geometry. We characterise the space of (torsional) connections preserving such a metric structure which is shown to project to (resp. embed) the most general class of (torsional) Galilean (resp. Carrollian) connections. |
1405.5213 | Raquel H. Ribeiro | Claudia de Rham and Raquel H. Ribeiro | Riding on irrelevant operators | v1: 48 pages, 2 figures, 1 table; v2: references added and typos
fixed, results unchanged. v3: matches version published in JCAP, 54 pages | JCAP11(2014)016 | 10.1088/1475-7516/2014/11/016 | null | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the stability of a class of derivative theories known as
$P(X)$ and Galileons against corrections generated by quantum effects. We use
an exact renormalisation group approach to argue that these theories are stable
under quantum corrections at all loops in regions where the kinetic term is
large compared to the strong coupling scale. This is the regime of interest for
screening or Vainshtein mechanisms, and in inflationary models that rely on
large kinetic terms. Next, we clarify the role played by the symmetries. While
symmetries protect the form of the quantum corrections, theories equipped with
more symmetries do not necessarily have a broader range of scales for which
they are valid. We show this by deriving explicitly the regime of validity of
the classical solutions for $P(X)$ theories including Dirac-Born-Infeld (DBI)
models, both in generic and for specific background field configurations.
Indeed, we find that despite the existence of an additional symmetry, the DBI
effective field theory has a regime of validity similar to an arbitrary $P(X)$
theory. We explore the implications of our results for both early and late
universe contexts. Conversely, when applied to static and spherical screening
mechanisms, we deduce that the regime of validity of typical power-law $P(X)$
theories is much larger than that of DBI.
| [
{
"created": "Tue, 20 May 2014 20:00:01 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Jun 2014 00:04:30 GMT",
"version": "v2"
},
{
"created": "Tue, 11 Nov 2014 18:00:47 GMT",
"version": "v3"
}
] | 2014-11-12 | [
[
"de Rham",
"Claudia",
""
],
[
"Ribeiro",
"Raquel H.",
""
]
] | We investigate the stability of a class of derivative theories known as $P(X)$ and Galileons against corrections generated by quantum effects. We use an exact renormalisation group approach to argue that these theories are stable under quantum corrections at all loops in regions where the kinetic term is large compared to the strong coupling scale. This is the regime of interest for screening or Vainshtein mechanisms, and in inflationary models that rely on large kinetic terms. Next, we clarify the role played by the symmetries. While symmetries protect the form of the quantum corrections, theories equipped with more symmetries do not necessarily have a broader range of scales for which they are valid. We show this by deriving explicitly the regime of validity of the classical solutions for $P(X)$ theories including Dirac-Born-Infeld (DBI) models, both in generic and for specific background field configurations. Indeed, we find that despite the existence of an additional symmetry, the DBI effective field theory has a regime of validity similar to an arbitrary $P(X)$ theory. We explore the implications of our results for both early and late universe contexts. Conversely, when applied to static and spherical screening mechanisms, we deduce that the regime of validity of typical power-law $P(X)$ theories is much larger than that of DBI. |
hep-th/0207056 | D. J. Toms | David J. Toms | Vacuum solutions for scalar fields confined in cavities | 10 pages, 3 eps figures, uses revtex4 | null | null | null | hep-th | null | We look at vacuum solutions for fields confined in cavities where the
boundary conditions can rule out constant field configurations, other than the
zero field. If the zero field is unstable, symmetry breaking can occur to a
field configuration of lower energy which is not constant. The stability of the
zero field is determined by the size of the length scales which characterize
the cavity and parameters that enter the scalar field potential. There can be a
critical length at which an instability of the zero field sets in. In addition
to looking at the rectangular and spherical cavity in detail, we describe a
general method which can be used to find approximate analytical solutions when
the length scales of the cavity are close to the critical value.
| [
{
"created": "Sat, 6 Jul 2002 12:19:12 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Toms",
"David J.",
""
]
] | We look at vacuum solutions for fields confined in cavities where the boundary conditions can rule out constant field configurations, other than the zero field. If the zero field is unstable, symmetry breaking can occur to a field configuration of lower energy which is not constant. The stability of the zero field is determined by the size of the length scales which characterize the cavity and parameters that enter the scalar field potential. There can be a critical length at which an instability of the zero field sets in. In addition to looking at the rectangular and spherical cavity in detail, we describe a general method which can be used to find approximate analytical solutions when the length scales of the cavity are close to the critical value. |
1508.03045 | Sever Amit | Benjamin Basso, Amit Sever and Pedro Vieira | Hexagonal Wilson Loops in Planar $\mathcal{N}=4$ SYM Theory at Finite
Coupling | 2 pages + references | null | 10.1088/1751-8113/49/41/41LT01 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We report on the complete OPE series for the 6-gluon MHV and NMHV amplitudes
in planar $\mathcal{N}=4$ SYM theory. Namely, we provide a finite coupling
prediction for all the terms in the expansion of these amplitudes around the
collinear limit. These furnish a non-perturbative representation of the full
amplitudes.
| [
{
"created": "Wed, 12 Aug 2015 20:06:59 GMT",
"version": "v1"
}
] | 2016-10-12 | [
[
"Basso",
"Benjamin",
""
],
[
"Sever",
"Amit",
""
],
[
"Vieira",
"Pedro",
""
]
] | We report on the complete OPE series for the 6-gluon MHV and NMHV amplitudes in planar $\mathcal{N}=4$ SYM theory. Namely, we provide a finite coupling prediction for all the terms in the expansion of these amplitudes around the collinear limit. These furnish a non-perturbative representation of the full amplitudes. |
0710.3827 | Ahmad Sheykhi | Ahmad Sheykhi | Topological Born-Infeld-dilaton black holes | 15 pages, 7 figures, references added, to appear in Phys. Lett. B | Phys.Lett.B662:7-13,2008 | 10.1016/j.physletb.2008.02.017 | null | hep-th | null | We construct a new analytic solution of Einstein-Born-Infeld-dilaton theory
in the presence of Liouville-type potentials for the dilaton field. These
solutions describe dilaton black holes with nontrivial topology and nonlinear
electrodynamics. Black hole horizons and cosmological horizons in these
spacetimes, can be a two-dimensional positive, zero or negative constant
curvature surface. The asymptotic behavior of these solutions are neither flat
nor (A)dS. We calculate the conserved and thermodynamic quantities of these
solutions and verify that these quantities satisfy the first law of black hole
thermodynamics.
| [
{
"created": "Sat, 20 Oct 2007 08:48:56 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Dec 2007 05:29:06 GMT",
"version": "v2"
},
{
"created": "Sat, 9 Feb 2008 05:52:57 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Sheykhi",
"Ahmad",
""
]
] | We construct a new analytic solution of Einstein-Born-Infeld-dilaton theory in the presence of Liouville-type potentials for the dilaton field. These solutions describe dilaton black holes with nontrivial topology and nonlinear electrodynamics. Black hole horizons and cosmological horizons in these spacetimes, can be a two-dimensional positive, zero or negative constant curvature surface. The asymptotic behavior of these solutions are neither flat nor (A)dS. We calculate the conserved and thermodynamic quantities of these solutions and verify that these quantities satisfy the first law of black hole thermodynamics. |
1907.01143 | Massimo Taronna | Charlotte Sleight, Massimo Taronna | Bootstrapping Inflationary Correlators in Mellin Space | 83+19 pages, 8 figures | null | 10.1007/JHEP02(2020)098 | PUPT-2590 | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop a Mellin space approach to boundary correlation functions in
anti-de Sitter (AdS) and de Sitter (dS) spaces. Using the Mellin-Barnes
representation of correlators in Fourier space, we show that the analytic
continuation between AdS$_{d+1}$ and dS$_{d+1}$ is encoded in a collection of
simple relative phases. This allows us to determine the late-time tree-level
three-point correlators of spinning fields in dS$_{d+1}$ from known results for
Witten diagrams in AdS$_{d+1}$ by multiplication with a simple trigonometric
factor. At four point level, we show that Conformal symmetry fixes exchange
four-point functions both in AdS$_{d+1}$ and dS$_{d+1}$ in terms of the dual
Conformal Partial Wave (which in Fourier space is a product of boundary
three-point correlators) up to a factor which is determined by the boundary
conditions. In this work we focus on late-time four-point correlators with
external scalars and an exchanged field of integer spin-$\ell$. The
Mellin-Barnes representation makes manifest the analytic structure of boundary
correlation functions, providing an analytic expression for the exchange
four-point function which is valid for general $d$ and generic scaling
dimensions, in particular massive, light and (partially-)massless fields. When
$d=3$ we reproduce existing explicit results available in the literature for
external conformally coupled and massless scalars. From these results, assuming
the weak breaking of the de Sitter isometries, we extract the corresponding
correction to the inflationary three-point function of general external scalars
induced by a general spin-$\ell$ field at leading order in slow roll. These
results provide a step towards a more systematic understanding of de Sitter
observables at tree level and beyond using Mellin space methods.
| [
{
"created": "Tue, 2 Jul 2019 03:17:01 GMT",
"version": "v1"
}
] | 2020-03-18 | [
[
"Sleight",
"Charlotte",
""
],
[
"Taronna",
"Massimo",
""
]
] | We develop a Mellin space approach to boundary correlation functions in anti-de Sitter (AdS) and de Sitter (dS) spaces. Using the Mellin-Barnes representation of correlators in Fourier space, we show that the analytic continuation between AdS$_{d+1}$ and dS$_{d+1}$ is encoded in a collection of simple relative phases. This allows us to determine the late-time tree-level three-point correlators of spinning fields in dS$_{d+1}$ from known results for Witten diagrams in AdS$_{d+1}$ by multiplication with a simple trigonometric factor. At four point level, we show that Conformal symmetry fixes exchange four-point functions both in AdS$_{d+1}$ and dS$_{d+1}$ in terms of the dual Conformal Partial Wave (which in Fourier space is a product of boundary three-point correlators) up to a factor which is determined by the boundary conditions. In this work we focus on late-time four-point correlators with external scalars and an exchanged field of integer spin-$\ell$. The Mellin-Barnes representation makes manifest the analytic structure of boundary correlation functions, providing an analytic expression for the exchange four-point function which is valid for general $d$ and generic scaling dimensions, in particular massive, light and (partially-)massless fields. When $d=3$ we reproduce existing explicit results available in the literature for external conformally coupled and massless scalars. From these results, assuming the weak breaking of the de Sitter isometries, we extract the corresponding correction to the inflationary three-point function of general external scalars induced by a general spin-$\ell$ field at leading order in slow roll. These results provide a step towards a more systematic understanding of de Sitter observables at tree level and beyond using Mellin space methods. |
hep-th/9612122 | Sergio Pernice | Ashok Das, Sergio A. Pernice | ``Induced'' Super-Symmetry Breaking with a Vanishing Vacuum Energy | 12 pages, Latex | Nucl.Phys. B505 (1997) 123-138 | 10.1016/S0550-3213(97)00365-9 | UR-1489 | hep-th hep-ph | null | A new mechanism for symmetry breaking is proposed which naturally avoids the
constraints following from the usual theorems of symmetry breaking. In the
context of super-symmetry, for example, the breaking may be consistent with a
vanishing vacuum energy. A 2+1 dimensional super-symmetric gauge field theory
is explicitly shown to break super-symmetry through this mechanism while
maintaining a zero vacuum energy. This mechanism may provide a solution to two
long standing problems, namely, dynamical super-symmetry breaking and the
cosmological constant problem.
| [
{
"created": "Wed, 11 Dec 1996 16:02:18 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Das",
"Ashok",
""
],
[
"Pernice",
"Sergio A.",
""
]
] | A new mechanism for symmetry breaking is proposed which naturally avoids the constraints following from the usual theorems of symmetry breaking. In the context of super-symmetry, for example, the breaking may be consistent with a vanishing vacuum energy. A 2+1 dimensional super-symmetric gauge field theory is explicitly shown to break super-symmetry through this mechanism while maintaining a zero vacuum energy. This mechanism may provide a solution to two long standing problems, namely, dynamical super-symmetry breaking and the cosmological constant problem. |
hep-th/9111034 | Kareljan Schoutens | Kareljan Schoutens, Alexander Sevrin and Peter van Nieuwenhuizen | Quantum W_3 Gravity | 14 pages. Contribution to the proceedings of the Trieste Summer
School on High Energy Physics and Cosmology, July-Aug. 1991 | null | null | null | hep-th | null | We briefly review some results in the theory of quantum $W_3$ gravity in the
chiral gauge. We compare them with similar results in the analogous but simpler
cases of $d=2$ induced gauge theories and $d=2$ induced gravity.
| [
{
"created": "Tue, 19 Nov 1991 16:06:58 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Schoutens",
"Kareljan",
""
],
[
"Sevrin",
"Alexander",
""
],
[
"van Nieuwenhuizen",
"Peter",
""
]
] | We briefly review some results in the theory of quantum $W_3$ gravity in the chiral gauge. We compare them with similar results in the analogous but simpler cases of $d=2$ induced gauge theories and $d=2$ induced gravity. |
2401.13339 | David Prieto | David Prieto | Moduli Stabilization and Stability in Type II/F-theory flux
compactifications | Ph.D. Thesis (Advisor: Fernando Marchesano), 377 pages | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | In this thesis we study String Theory compactifications to four dimensions
focusing on the moduli stabilization process and the associated vacua structure
in various frameworks, from Type IIA to F-theory, interpreting the results in
the context of the Swampland Program. More specifically, we generalize the
bilinear formalism of the scalar potential to include the contributions of
geometric fluxes, which we use to perform a systematic search of vacua. We also
consider the 10d uplift of AdS4 vacua arising from the 4d massive Type IIA
effective theory with only RR and NSNS fluxes. Using the language of
SU(3)xSU(3) structures and performing an expansion around the smearing
approximation in powers of the string coupling, we study the stability of the
SUSY solution and its non-SUSY partner. We contrast the results with the Weak
Gravity Conjecture and the AdS instability conjecture in toroidal orbifold
examples and find that some non-SUSY cases are in tension with the predictions
of those conjectures. From the F-theory perspective, we study moduli
stabilization in the complex structure sector of elliptically fibered
Calabi-Yau 4-folds in the Large Complex Structure limit. Using homological
mirror symmetry, we replicate the analysis for the Type IIA case and give a
bilinear expression for the scalar potential, allowing for a detailed study of
the vacua structure. We find two distinct families of flux configurations
compatible with the tadpole constraints that enable full moduli stabilization.
We thoroughly examine the most generic one in the Type IIB limit, where the
superpotential is also quadratic and polynomial corrections can be considered
at all orders. Finally, we show that at this level of approximation
supersymmetric SUSY vacua always contain flat directions. We conclude with a
summary of the results and some comments about open questions and future lines
of research.
| [
{
"created": "Wed, 24 Jan 2024 10:08:51 GMT",
"version": "v1"
}
] | 2024-01-25 | [
[
"Prieto",
"David",
""
]
] | In this thesis we study String Theory compactifications to four dimensions focusing on the moduli stabilization process and the associated vacua structure in various frameworks, from Type IIA to F-theory, interpreting the results in the context of the Swampland Program. More specifically, we generalize the bilinear formalism of the scalar potential to include the contributions of geometric fluxes, which we use to perform a systematic search of vacua. We also consider the 10d uplift of AdS4 vacua arising from the 4d massive Type IIA effective theory with only RR and NSNS fluxes. Using the language of SU(3)xSU(3) structures and performing an expansion around the smearing approximation in powers of the string coupling, we study the stability of the SUSY solution and its non-SUSY partner. We contrast the results with the Weak Gravity Conjecture and the AdS instability conjecture in toroidal orbifold examples and find that some non-SUSY cases are in tension with the predictions of those conjectures. From the F-theory perspective, we study moduli stabilization in the complex structure sector of elliptically fibered Calabi-Yau 4-folds in the Large Complex Structure limit. Using homological mirror symmetry, we replicate the analysis for the Type IIA case and give a bilinear expression for the scalar potential, allowing for a detailed study of the vacua structure. We find two distinct families of flux configurations compatible with the tadpole constraints that enable full moduli stabilization. We thoroughly examine the most generic one in the Type IIB limit, where the superpotential is also quadratic and polynomial corrections can be considered at all orders. Finally, we show that at this level of approximation supersymmetric SUSY vacua always contain flat directions. We conclude with a summary of the results and some comments about open questions and future lines of research. |
1601.04716 | Gautier Solard | Gautier Solard | A note on the Ricci scalar of six dimensional manifold with SU(2)
structure | 5 pages | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Taking [math/0606786] as an inspiration, we study the intrinsic torsion of a
SU(2) structure manifold in six dimensions to give a formula for the Ricci
scalar in terms of torsion classes. The derivation is founded on the SU(3)
result coming from the aforementioned paper.
| [
{
"created": "Mon, 18 Jan 2016 21:00:18 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Feb 2016 11:36:06 GMT",
"version": "v2"
}
] | 2016-02-22 | [
[
"Solard",
"Gautier",
""
]
] | Taking [math/0606786] as an inspiration, we study the intrinsic torsion of a SU(2) structure manifold in six dimensions to give a formula for the Ricci scalar in terms of torsion classes. The derivation is founded on the SU(3) result coming from the aforementioned paper. |
2302.10489 | Arghya Chattopadhyay | Arghya Chattopadhyay, Arpita Mitra, Hendrik J.R. van Zyl | Spread complexity as classical dilaton solutions | 31 pages with 2 appendices, v2 has minor restructuring to increase
readability matching the published version | null | 10.1103/PhysRevD.108.025013 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We demonstrate a relation between Nielsen's approach towards circuit
complexity and Krylov complexity through a particular construction of quantum
state space geometry. We start by associating K\"ahler structures on the full
projective Hilbert space of low rank algebras. This geometric structure of the
states in the Hilbert space ensures that every unitary transformation of the
associated algebras leave the metric and the symplectic forms invariant. We
further associate a classical matter free Jackiw-Teitelboim (JT) gravity model
with these state manifolds and show that the dilaton can be interpreted as the
quantum mechanical expectation values of the symmetry generators. On the other
hand we identify the dilaton with the spread complexity over a Krylov basis
thereby proposing a geometric perspective connecting two different notions of
complexity.
| [
{
"created": "Tue, 21 Feb 2023 07:37:52 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Jul 2023 14:42:06 GMT",
"version": "v2"
}
] | 2023-08-02 | [
[
"Chattopadhyay",
"Arghya",
""
],
[
"Mitra",
"Arpita",
""
],
[
"van Zyl",
"Hendrik J. R.",
""
]
] | We demonstrate a relation between Nielsen's approach towards circuit complexity and Krylov complexity through a particular construction of quantum state space geometry. We start by associating K\"ahler structures on the full projective Hilbert space of low rank algebras. This geometric structure of the states in the Hilbert space ensures that every unitary transformation of the associated algebras leave the metric and the symplectic forms invariant. We further associate a classical matter free Jackiw-Teitelboim (JT) gravity model with these state manifolds and show that the dilaton can be interpreted as the quantum mechanical expectation values of the symmetry generators. On the other hand we identify the dilaton with the spread complexity over a Krylov basis thereby proposing a geometric perspective connecting two different notions of complexity. |
hep-th/0412122 | Behrouz Mirza | M. Mohadesi, B. Mirza | The Klein-Gordon and the Dirac oscillators in a noncommutative space | 9 pages | Commun.Theor.Phys. 42 (2004) 664-668 | null | null | hep-th | null | We study the Dirac and the klein-Gordon oscillators in a noncommutative
space. It is shown that the Klein-Gordon oscillator in a noncommutative space
has a similar behaviour to the dynamics of a particle in a commutative space
and in a constant magnetic field. The Dirac oscillator in a noncommutative
space has a similar equation to the equation of motion for a relativistic
fermion in a commutative space and in a magnetic field, however a new exotic
term appears, which implies that a charged fermion in a noncommutative space
has an electric dipole moment.
| [
{
"created": "Mon, 13 Dec 2004 09:04:24 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Mohadesi",
"M.",
""
],
[
"Mirza",
"B.",
""
]
] | We study the Dirac and the klein-Gordon oscillators in a noncommutative space. It is shown that the Klein-Gordon oscillator in a noncommutative space has a similar behaviour to the dynamics of a particle in a commutative space and in a constant magnetic field. The Dirac oscillator in a noncommutative space has a similar equation to the equation of motion for a relativistic fermion in a commutative space and in a magnetic field, however a new exotic term appears, which implies that a charged fermion in a noncommutative space has an electric dipole moment. |
0905.1068 | Alfredo Andres Vargas Paredes A. A. Vargas Paredes | C.A Hernaski, A.A. Vargas-Paredes, J.A. Helay\"el-Neto | A Discussion on Massive Gravitons and Propagating Torsion in Arbitrary
Dimensions | 11 pages | Phys.Rev.D80:124012,2009 | 10.1103/PhysRevD.80.124012 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we reassess a particular $R^{2}$-type gravity action in D
dimensions, recently studied by Nakasone and Oda, taking now torsion effects
into account. Considering that the vielbein and the spin connection carry
independent propagating degrees of freedom, we conclude that ghosts and
tachyons are absent only if torsion is non-propagating, and we also conclude
that there is no room for massive gravitons. To include these excitations, we
understand how to enlarge Nakasone-Oda's model by means of explicit torsion
terms in the action and we discuss the unitarity of the enlarged model for
arbitrary dimensions.
| [
{
"created": "Thu, 7 May 2009 19:38:32 GMT",
"version": "v1"
},
{
"created": "Sat, 9 May 2009 20:53:15 GMT",
"version": "v2"
},
{
"created": "Fri, 22 May 2009 17:12:27 GMT",
"version": "v3"
},
{
"created": "Sat, 17 Apr 2010 17:18:44 GMT",
"version": "v4"
}
] | 2010-04-21 | [
[
"Hernaski",
"C. A",
""
],
[
"Vargas-Paredes",
"A. A.",
""
],
[
"Helayël-Neto",
"J. A.",
""
]
] | In this paper, we reassess a particular $R^{2}$-type gravity action in D dimensions, recently studied by Nakasone and Oda, taking now torsion effects into account. Considering that the vielbein and the spin connection carry independent propagating degrees of freedom, we conclude that ghosts and tachyons are absent only if torsion is non-propagating, and we also conclude that there is no room for massive gravitons. To include these excitations, we understand how to enlarge Nakasone-Oda's model by means of explicit torsion terms in the action and we discuss the unitarity of the enlarged model for arbitrary dimensions. |
0712.2777 | Anupam Mazumdar | Shinji Hirano and Anupam Mazumdar | Emergence of a Big Bang singularity in an exact string background | 5 pages, 1 figure, added a reference | null | null | null | hep-th astro-ph gr-qc hep-ph | null | The origin of Big Bang singularity in 3+1 dimensions can be understood in an
exact string theory background obtained by an analytic continuation of a cigar
like geometry with a nontrivial dilaton. In a T-dual conformal field theory
picture there exists a closed string tachyon potential which excises the
singular space-time of a strongly coupled regime to ensure that a higher
dimensional universe has no curvature singularity. However in 3+1 dimensions
the universe exhibits all the pathology of a standard Big Bang cosmology. The
emergence of a singularity now owes to a higher dimensional orbifold
singularity which does not have a curvature singularity in higher dimensions,
suggesting that close to the compactification scale an effective description of
3+1 dimensions breaks down and bouncing universe emerges in 5 and higher
dimensions.
| [
{
"created": "Mon, 17 Dec 2007 17:11:25 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Jan 2008 18:37:53 GMT",
"version": "v2"
}
] | 2011-11-10 | [
[
"Hirano",
"Shinji",
""
],
[
"Mazumdar",
"Anupam",
""
]
] | The origin of Big Bang singularity in 3+1 dimensions can be understood in an exact string theory background obtained by an analytic continuation of a cigar like geometry with a nontrivial dilaton. In a T-dual conformal field theory picture there exists a closed string tachyon potential which excises the singular space-time of a strongly coupled regime to ensure that a higher dimensional universe has no curvature singularity. However in 3+1 dimensions the universe exhibits all the pathology of a standard Big Bang cosmology. The emergence of a singularity now owes to a higher dimensional orbifold singularity which does not have a curvature singularity in higher dimensions, suggesting that close to the compactification scale an effective description of 3+1 dimensions breaks down and bouncing universe emerges in 5 and higher dimensions. |
hep-th/0001001 | Paul S. Aspinwall | Paul S. Aspinwall | Compactification, Geometry and Duality: N=2 | 82 pages, 8 figures, LaTeX2e, TASI99, refs added and some typos fixed | null | null | DUKE-CGTP-00-01 | hep-th | null | These are notes based on lectures given at TASI99. We review the geometry of
the moduli space of N=2 theories in four dimensions from the point of view of
superstring compactification. The cases of a type IIA or type IIB string
compactified on a Calabi-Yau threefold and the heterotic string compactified on
K3xT2 are each considered in detail. We pay specific attention to the
differences between N=2 theories and N>2 theories. The moduli spaces of vector
multiplets and the moduli spaces of hypermultiplets are reviewed. In the case
of hypermultiplets this review is limited by the poor state of our current
understanding. Some peculiarities such as ``mixed instantons'' and the
non-existence of a universal hypermultiplet are discussed.
| [
{
"created": "Sat, 1 Jan 2000 00:02:31 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Jan 2000 14:52:43 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Aspinwall",
"Paul S.",
""
]
] | These are notes based on lectures given at TASI99. We review the geometry of the moduli space of N=2 theories in four dimensions from the point of view of superstring compactification. The cases of a type IIA or type IIB string compactified on a Calabi-Yau threefold and the heterotic string compactified on K3xT2 are each considered in detail. We pay specific attention to the differences between N=2 theories and N>2 theories. The moduli spaces of vector multiplets and the moduli spaces of hypermultiplets are reviewed. In the case of hypermultiplets this review is limited by the poor state of our current understanding. Some peculiarities such as ``mixed instantons'' and the non-existence of a universal hypermultiplet are discussed. |
hep-th/9511063 | Misha Vasiliev | Mikhail Vasiliev (Lebedev Physical Institute) | Higher-Spin Gauge Interactions for Matter Fields in Two Dimensions | LaTex, 10 pages, no figures, to be published in Phys. Lett. B | Phys.Lett. B363 (1995) 51-57 | 10.1016/0370-2693(95)01122-7 | FIAN/TD/15--95 | hep-th | null | We formulate a new model which describes higher-spin gauge interactions for
matter fields in two dimensions. This model is a higher-spin generalization of
d2 gravity and turns out to be integrable. No vanishing higher-spin current
conditions are imposed on the matter fields.
| [
{
"created": "Thu, 9 Nov 1995 19:36:46 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Vasiliev",
"Mikhail",
"",
"Lebedev Physical Institute"
]
] | We formulate a new model which describes higher-spin gauge interactions for matter fields in two dimensions. This model is a higher-spin generalization of d2 gravity and turns out to be integrable. No vanishing higher-spin current conditions are imposed on the matter fields. |
hep-th/0109160 | Graziano Vernizzi | G.M.Cicuta, L. Molinari, G. Vernizzi | Yang-Mills Integrals | LaTeX, 10 pages, references added and minimal changes | J.Phys. A35 (2002) L51-L59 | 10.1088/0305-4470/35/4/102 | UPRF-2001-18 | hep-th math-ph math.MP | null | Two results are presented for reduced Yang-Mills integrals with different
symmetry groups and dimensions: the first is a compact integral representation
in terms of the relevant variables of the integral, the second is a method to
analytically evaluate the integrals in cases of low order. This is exhibited by
evaluating a Yang-Mills integral over real symmetric matrices of order 3.
| [
{
"created": "Thu, 20 Sep 2001 07:50:01 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Oct 2001 15:40:30 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Cicuta",
"G. M.",
""
],
[
"Molinari",
"L.",
""
],
[
"Vernizzi",
"G.",
""
]
] | Two results are presented for reduced Yang-Mills integrals with different symmetry groups and dimensions: the first is a compact integral representation in terms of the relevant variables of the integral, the second is a method to analytically evaluate the integrals in cases of low order. This is exhibited by evaluating a Yang-Mills integral over real symmetric matrices of order 3. |
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