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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1607.04928 | Xiao Mei Kuang | Xiao-Mei Kuang and Eleftherios Papantonopoulos | Building a Holographic Superconductor with a Scalar Field Coupled
Kinematically to Einstein Tensor | 9 pages, 4 figures; V2: References added; Version accepted for
publication in JHEP | JHEP08 (2016) 161 | 10.1007/JHEP08(2016)161 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the holographic dual description of a superconductor in which the
gravity sector consists of a Maxwell field and a charged scalar field which
except its minimal coupling to gravity it is also coupled kinematically to
Einstein tensor. As the strength of the new coupling is increased, the critical
temperature below which the scalar field condenses is lowering, the
condensation gap decreases faster than the temperature, the width of the
condensation gap is not proportional to the size of the condensate and at low
temperatures the condensation gap tends to zero for the strong coupling. These
effects which are the result of the presence of the coupling of the scalar
field to the Einstein tensor in the gravity bulk, provide a dual description of
impurities concentration in a superconducting state on the boundary.
| [
{
"created": "Mon, 18 Jul 2016 01:36:33 GMT",
"version": "v1"
},
{
"created": "Sun, 24 Jul 2016 00:06:08 GMT",
"version": "v2"
},
{
"created": "Sat, 27 Aug 2016 14:22:38 GMT",
"version": "v3"
}
] | 2016-09-02 | [
[
"Kuang",
"Xiao-Mei",
""
],
[
"Papantonopoulos",
"Eleftherios",
""
]
] | We study the holographic dual description of a superconductor in which the gravity sector consists of a Maxwell field and a charged scalar field which except its minimal coupling to gravity it is also coupled kinematically to Einstein tensor. As the strength of the new coupling is increased, the critical temperature below which the scalar field condenses is lowering, the condensation gap decreases faster than the temperature, the width of the condensation gap is not proportional to the size of the condensate and at low temperatures the condensation gap tends to zero for the strong coupling. These effects which are the result of the presence of the coupling of the scalar field to the Einstein tensor in the gravity bulk, provide a dual description of impurities concentration in a superconducting state on the boundary. |
1712.04684 | Hagen M\"unkler | Hagen M\"unkler | Symmetries of Maldacena-Wilson Loops from Integrable String Theory | PhD-Thesis based on the works arXiv:1503.07553, arXiv:1507.02474,
arXiv:1606.04104, arXiv:1610.01161. 209 pages, 11 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this thesis, we investigate hidden symmetries for the Maldacena-Wilson
loop in N=4 super Yang-Mills theory, mainly focusing on its strong-coupling
description as a minimal surface in $AdS_5$. In the discussion of the symmetry
structure of the underlying string model, we highlight the role of the master
symmetry which can be employed to construct all symmetries of the model. The
algebra of these symmetries is worked out. For the concrete case of minimal
surfaces in $AdS_5$, we discuss the deformation of the four-cusp solution,
which provides the dual description of the four-gluon scattering amplitude.
This marks the first step toward transferring the master symmetry to scattering
amplitudes. Moreover, we compute the master and Yangian symmetry variations of
generic, smooth boundary curves. The discussion clarifies why previous attempts
to transfer the deformations of minimal surfaces in $AdS_3$ to weak coupling
were unsuccessful. We discuss several attempts to transfer the Yangian symmetry
to weak or arbitrary coupling, but ultimately conclude that a Yangian symmetry
of the Maldacena-Wilson loop seems not to be present. This is different for the
natural supersymmetric generalizations of the Maldacena--Wilson loop, Wilson
loops in superspace. Their one-loop expectation value is known to be Yangian
invariant. We discuss the strong-coupling counterpart of this finding by
considering minimal surfaces in the superspace of type IIB superstring theory
in $AdS_5 \times S^5$. The comparison of the strong-coupling invariance derived
here with the weak-coupling generators shows that the local term must depend on
the coupling in a non-trivial way. Additionally, we show that the higher-level
recurrences of the hypercharge generator, the so-called bonus symmetries, are
present in all higher levels of the Yangian.
| [
{
"created": "Wed, 13 Dec 2017 10:09:54 GMT",
"version": "v1"
}
] | 2017-12-14 | [
[
"Münkler",
"Hagen",
""
]
] | In this thesis, we investigate hidden symmetries for the Maldacena-Wilson loop in N=4 super Yang-Mills theory, mainly focusing on its strong-coupling description as a minimal surface in $AdS_5$. In the discussion of the symmetry structure of the underlying string model, we highlight the role of the master symmetry which can be employed to construct all symmetries of the model. The algebra of these symmetries is worked out. For the concrete case of minimal surfaces in $AdS_5$, we discuss the deformation of the four-cusp solution, which provides the dual description of the four-gluon scattering amplitude. This marks the first step toward transferring the master symmetry to scattering amplitudes. Moreover, we compute the master and Yangian symmetry variations of generic, smooth boundary curves. The discussion clarifies why previous attempts to transfer the deformations of minimal surfaces in $AdS_3$ to weak coupling were unsuccessful. We discuss several attempts to transfer the Yangian symmetry to weak or arbitrary coupling, but ultimately conclude that a Yangian symmetry of the Maldacena-Wilson loop seems not to be present. This is different for the natural supersymmetric generalizations of the Maldacena--Wilson loop, Wilson loops in superspace. Their one-loop expectation value is known to be Yangian invariant. We discuss the strong-coupling counterpart of this finding by considering minimal surfaces in the superspace of type IIB superstring theory in $AdS_5 \times S^5$. The comparison of the strong-coupling invariance derived here with the weak-coupling generators shows that the local term must depend on the coupling in a non-trivial way. Additionally, we show that the higher-level recurrences of the hypercharge generator, the so-called bonus symmetries, are present in all higher levels of the Yangian. |
2312.04652 | Renann Jusinskas | Nicholas Carabine, Renann Lipinski Jusinskas | Massive strings from a haunted field theory | 7 pages. v2: references and comments added. Except for cosmetic
changes, it should match the published version | Phys. Rev. Lett. 132, 161602 (2024) | 10.1103/PhysRevLett.132.161602 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we present the $\alpha'$-exact background equations of motion of
the bosonic chiral string (also known as Hohm-Siegel-Zwiebach model), with the
spin two ghost fields integrated out. This is the first instance of a
worldsheet model in which all corrections are fully determined in a generic
curved spacetime. As a concrete cross-check, we find complete agreement between
all three-point and a sample of four-point tree level scattering amplitudes
computed using field theory methods and the chiral string prescription. These
equations of motion provide a field theoretical shortcut to compute worldsheet
correlators in conventional bosonic strings (with arbitrary number of massless
and mass level one states), and outline a new perspective on massive resonances
in string theory.
| [
{
"created": "Thu, 7 Dec 2023 19:27:10 GMT",
"version": "v1"
},
{
"created": "Sun, 17 Mar 2024 11:54:34 GMT",
"version": "v2"
}
] | 2024-04-16 | [
[
"Carabine",
"Nicholas",
""
],
[
"Jusinskas",
"Renann Lipinski",
""
]
] | In this work we present the $\alpha'$-exact background equations of motion of the bosonic chiral string (also known as Hohm-Siegel-Zwiebach model), with the spin two ghost fields integrated out. This is the first instance of a worldsheet model in which all corrections are fully determined in a generic curved spacetime. As a concrete cross-check, we find complete agreement between all three-point and a sample of four-point tree level scattering amplitudes computed using field theory methods and the chiral string prescription. These equations of motion provide a field theoretical shortcut to compute worldsheet correlators in conventional bosonic strings (with arbitrary number of massless and mass level one states), and outline a new perspective on massive resonances in string theory. |
hep-th/9204036 | Ignatios Antoniadis | Philippe Roche | On the construction of integrable dilute ADE models | #8 | Phys.Lett. B285 (1992) 49-53 | 10.1016/0370-2693(92)91298-N | null | hep-th | null | We give an integrable extension of the lattice models recently considered by
I.Kostov in his study of strings in discrete space. These models are IRF models
with spin variables living in any connected graph, the vertex model underlying
these models is the Izergin-Korepin model. When the graph is taken to be a
simply laced Dynkin diagram, it is conjectured that these models possess
critical regimes which are the dilute phase of SOS models of ADE type.
| [
{
"created": "Tue, 14 Apr 1992 14:33:06 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Roche",
"Philippe",
""
]
] | We give an integrable extension of the lattice models recently considered by I.Kostov in his study of strings in discrete space. These models are IRF models with spin variables living in any connected graph, the vertex model underlying these models is the Izergin-Korepin model. When the graph is taken to be a simply laced Dynkin diagram, it is conjectured that these models possess critical regimes which are the dilute phase of SOS models of ADE type. |
2207.12103 | Flavio S. Nogueira | Matheus H. Martins Costa, Jeroen van den Brink, Flavio S. Nogueira,
Gast\~ao Krein | Momentum Space Entanglement from the Wilsonian Effective Action | v2: minor changes (added a little more discussion on the
applicability of the method to gauge theories), references added, 17 pages,
15 Figures; nearly matches published version | Phys. Rev. D 106, 065024 (2022) | 10.1103/PhysRevD.106.065024 | null | hep-th cond-mat.str-el | http://creativecommons.org/licenses/by/4.0/ | The entanglement between momentum modes of a quantum field theory at
different scales is not as well studied as its counterpart in real space,
despite the natural connection with the Wilsonian idea of integrating out the
high-momentum degrees of freedom. Here, we push such connection further by
developing a novel method to calculate the R\'enyi and entanglement entropies
between slow and fast modes, which is based on the Wilsonian effective action
at a given scale. This procedure is applied to the perturbative regime of some
scalar theories, comparing the lowest-order results with those from the
literature and interpreting them in terms of Feynman diagrams. This method is
easily generalized to higher-order or nonperturbative calculations. It has the
advantage of avoiding matrix diagonalizations of other techniques.
| [
{
"created": "Mon, 25 Jul 2022 12:13:18 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Oct 2022 12:29:48 GMT",
"version": "v2"
}
] | 2022-10-04 | [
[
"Costa",
"Matheus H. Martins",
""
],
[
"Brink",
"Jeroen van den",
""
],
[
"Nogueira",
"Flavio S.",
""
],
[
"Krein",
"Gastão",
""
]
] | The entanglement between momentum modes of a quantum field theory at different scales is not as well studied as its counterpart in real space, despite the natural connection with the Wilsonian idea of integrating out the high-momentum degrees of freedom. Here, we push such connection further by developing a novel method to calculate the R\'enyi and entanglement entropies between slow and fast modes, which is based on the Wilsonian effective action at a given scale. This procedure is applied to the perturbative regime of some scalar theories, comparing the lowest-order results with those from the literature and interpreting them in terms of Feynman diagrams. This method is easily generalized to higher-order or nonperturbative calculations. It has the advantage of avoiding matrix diagonalizations of other techniques. |
2202.11729 | David Berenstein | David Berenstein, Adolfo Holguin | String junctions suspended between giants | 12 pages | null | 10.1007/JHEP11(2022)085 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct $(p,q)$ string junction solutions suspended between both sphere
and AdS giant gravitons in $AdS_5\times S^5$. Our results extend easily to more
general half BPS geometries of LLM type. These carry angular momentum in the
directions of the worldvolume of the giant gravitons. We argue that these are
charged under a central extension of the supersymmetry algebra similar to the
one that has appeared in the works of Beisert for the ${\cal N}=4 $ spin chain.
We also argue that they are BPS with respect to this central extension. We show
that apart from some kinematical details, the junctions end up solving the same
minimization problem that appears in the Coulomb branch of ${\cal N}=4 $ SYM.
Their mass and shape is independent of the angular momentum $Q$ that the
junction carries.
| [
{
"created": "Wed, 23 Feb 2022 19:00:04 GMT",
"version": "v1"
}
] | 2022-11-30 | [
[
"Berenstein",
"David",
""
],
[
"Holguin",
"Adolfo",
""
]
] | We construct $(p,q)$ string junction solutions suspended between both sphere and AdS giant gravitons in $AdS_5\times S^5$. Our results extend easily to more general half BPS geometries of LLM type. These carry angular momentum in the directions of the worldvolume of the giant gravitons. We argue that these are charged under a central extension of the supersymmetry algebra similar to the one that has appeared in the works of Beisert for the ${\cal N}=4 $ spin chain. We also argue that they are BPS with respect to this central extension. We show that apart from some kinematical details, the junctions end up solving the same minimization problem that appears in the Coulomb branch of ${\cal N}=4 $ SYM. Their mass and shape is independent of the angular momentum $Q$ that the junction carries. |
hep-th/0502029 | Jacobus Verbaarschot | J.J.M. Verbaarschot | QCD, Chiral Random Matrix Theory and Integrability | Lectures given at the Les Houches Summer School on Applications of
Random Matrices in Physics, NATO Advanced Study Institute -- Marie Curie
Training Course, Les Houches, France, 6-25 Jun 2004 | null | null | SUNY-NTG/05-2 | hep-th | null | Random Matrix Theory has been a unifying approach in physics and
mathematics.In these lectures we discuss applications of Random Matrix Theory
to QCD and emphasize underlying integrable structures. In the first lecture we
give an overview of QCD, its low-energy limit and the microscopic limit of the
Dirac spectrum which, as we will see in the second lecture, can be described by
chiral Random Matrix Theory. The main topic of the third lecture is the recent
developments on the relation between the QCD partition function and integrable
hierarchies (in our case the Toda lattice hierarchy). This is an efficient way
to obtain the QCD Dirac spectrum from the low energy limit of the QCD partition
function. Finally, we will discuss the QCD Dirac spectrum at nonzero chemical
potential. We will show that the microscopic spectral density is given by the
replica limit of the Toda lattice equation. Recent results by Osborn on the
Dirac spectrum of full QCD will be discussed.
| [
{
"created": "Wed, 2 Feb 2005 16:43:55 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Verbaarschot",
"J. J. M.",
""
]
] | Random Matrix Theory has been a unifying approach in physics and mathematics.In these lectures we discuss applications of Random Matrix Theory to QCD and emphasize underlying integrable structures. In the first lecture we give an overview of QCD, its low-energy limit and the microscopic limit of the Dirac spectrum which, as we will see in the second lecture, can be described by chiral Random Matrix Theory. The main topic of the third lecture is the recent developments on the relation between the QCD partition function and integrable hierarchies (in our case the Toda lattice hierarchy). This is an efficient way to obtain the QCD Dirac spectrum from the low energy limit of the QCD partition function. Finally, we will discuss the QCD Dirac spectrum at nonzero chemical potential. We will show that the microscopic spectral density is given by the replica limit of the Toda lattice equation. Recent results by Osborn on the Dirac spectrum of full QCD will be discussed. |
hep-th/0408058 | Amir Masoud Ghezelbash | R. Clarkson, A.M. Ghezelbash, R.B. Mann | A Review of the N-bound and the Maximal Mass Conjectures Using
NUT-Charged dS Spacetimes | 49 pages, 17 figures, a few typos corrected, addendum added with
regard to some references that were later brought to our attention | Int.J.Mod.Phys. A19 (2004) 3987-4036 | 10.1142/S0217751X04019822 | null | hep-th | null | The proposed dS/CFT correspondence remains an intriguing paradigm in the
context of string theory. Recently it has motivated two interesting
conjectures: the entropic N-bound and the maximal mass conjecture. The former
states that there is an upper bound to the entropy in asymptotically de Sitter
spacetimes, given by the entropy of pure de Sitter space. The latter states
that any asymptotically de Sitter spacetime cannot have a mass larger than the
pure de Sitter case without inducing a cosmological singularity. Here we review
the status of these conjectures and demonstrate their limitation. We first
describe a generalization of gravitational thermodynamics to asymptotically de
Sitter spacetimes, and show how to compute conserved quantities and
gravitational entropy using this formalism. From this we proceed to a
discussion of the N-bound and maximal mass conjectures. We then illustrate that
these conjectures are not satisfied for certain asymptotically de Sitter
spacetimes with NUT charge. We close with a presentation of explicit examples
in various spacetime dimensionalities.
| [
{
"created": "Sat, 7 Aug 2004 00:51:07 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Nov 2004 19:11:27 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Clarkson",
"R.",
""
],
[
"Ghezelbash",
"A. M.",
""
],
[
"Mann",
"R. B.",
""
]
] | The proposed dS/CFT correspondence remains an intriguing paradigm in the context of string theory. Recently it has motivated two interesting conjectures: the entropic N-bound and the maximal mass conjecture. The former states that there is an upper bound to the entropy in asymptotically de Sitter spacetimes, given by the entropy of pure de Sitter space. The latter states that any asymptotically de Sitter spacetime cannot have a mass larger than the pure de Sitter case without inducing a cosmological singularity. Here we review the status of these conjectures and demonstrate their limitation. We first describe a generalization of gravitational thermodynamics to asymptotically de Sitter spacetimes, and show how to compute conserved quantities and gravitational entropy using this formalism. From this we proceed to a discussion of the N-bound and maximal mass conjectures. We then illustrate that these conjectures are not satisfied for certain asymptotically de Sitter spacetimes with NUT charge. We close with a presentation of explicit examples in various spacetime dimensionalities. |
1501.03019 | K. Narayan | K. Narayan | de Sitter extremal surfaces | Latex, 21pgs, 2 figs, v3,v4: clarifications added on the wavefunction
of the universe; published version | Phys. Rev. D 91, 126011 (2015) | 10.1103/PhysRevD.91.126011 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study extremal surfaces in de Sitter space in the Poincare slicing in the
upper patch, anchored on spatial subregions at the future boundary ${\cal
I}^+$, restricted to constant boundary Euclidean time slices (focussing on
strip subregions). We find real extremal surfaces of minimal area as the
boundaries of past lightcone wedges of the subregions in question: these are
null surfaces with vanishing area. We also find complex extremal surfaces as
complex extrema of the area functional, and the area is not always real-valued.
In $dS_4$ the area is real. The area has structural resemblance with
entanglement entropy in a dual $CFT$. There are parallels with analytic
continuation from the Ryu-Takayanagi expressions for holographic entanglement
entropy in $AdS$. We also discuss extremal surfaces in the $dS$ black brane and
the de Sitter "bluewall" studied previously. The $dS_4$ black brane complex
surfaces exhibit a real finite cutoff-independent extensive piece. In the
bluewall geometry, there are real surfaces that go from one asymptotic universe
to the other through the Cauchy horizons.
| [
{
"created": "Tue, 13 Jan 2015 14:36:36 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Jan 2015 07:29:19 GMT",
"version": "v2"
},
{
"created": "Fri, 10 Apr 2015 09:40:31 GMT",
"version": "v3"
},
{
"created": "Mon, 25 May 2015 06:27:03 GMT",
"version": "v4"
}
] | 2015-06-24 | [
[
"Narayan",
"K.",
""
]
] | We study extremal surfaces in de Sitter space in the Poincare slicing in the upper patch, anchored on spatial subregions at the future boundary ${\cal I}^+$, restricted to constant boundary Euclidean time slices (focussing on strip subregions). We find real extremal surfaces of minimal area as the boundaries of past lightcone wedges of the subregions in question: these are null surfaces with vanishing area. We also find complex extremal surfaces as complex extrema of the area functional, and the area is not always real-valued. In $dS_4$ the area is real. The area has structural resemblance with entanglement entropy in a dual $CFT$. There are parallels with analytic continuation from the Ryu-Takayanagi expressions for holographic entanglement entropy in $AdS$. We also discuss extremal surfaces in the $dS$ black brane and the de Sitter "bluewall" studied previously. The $dS_4$ black brane complex surfaces exhibit a real finite cutoff-independent extensive piece. In the bluewall geometry, there are real surfaces that go from one asymptotic universe to the other through the Cauchy horizons. |
2402.08805 | Mir Mehedi Faruk | Mir Mehedi Faruk | Deriving the Gibbons-Maldacena-Nunez no-go theorem from the Raychaudhuri
equation | null | Phys.Rev.D 109 (2024) 6, L061902 | 10.1103/PhysRevD.109.L061902 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | In this article, we point out that to solve the null Raychaudhuri equation
for higher dimensional spacetime with accelerating FRW solution in external
directions and static compact internal directions, it is necessary to violate
the Strong Energy condition in higher dimensions. This constraint is well-known
in obtaining accelerating cosmological solutions in string compactification,
first described by Gibbons-Maldacena-Nunez. In deriving this constraint, we do
not make any assumptions regarding the matter content.
| [
{
"created": "Tue, 13 Feb 2024 21:22:50 GMT",
"version": "v1"
}
] | 2024-05-14 | [
[
"Faruk",
"Mir Mehedi",
""
]
] | In this article, we point out that to solve the null Raychaudhuri equation for higher dimensional spacetime with accelerating FRW solution in external directions and static compact internal directions, it is necessary to violate the Strong Energy condition in higher dimensions. This constraint is well-known in obtaining accelerating cosmological solutions in string compactification, first described by Gibbons-Maldacena-Nunez. In deriving this constraint, we do not make any assumptions regarding the matter content. |
hep-th/0012256 | Zhukovsk | V. Ch. Zhukovsky, K. G. Klimenko, V. V. Khudyakov, and D. Ebert | Magnetic catalysis of parity breaking in a massive Gross-Neveu model and
high-temperature superconductivity | LaTeX 2.09, 8 pages, 2 eps figures | JETP Lett. 73 (2001) 121-125; Pisma Zh.Eksp.Teor.Fiz. 73 (2001)
137-142 | 10.1134/1.1364538 | Preprint IFVE 2000-62 | hep-th cond-mat hep-ph | null | In the framework of a (2+1)-dimensional P-even massive Gross-Neveu model, an
external magnetic field is shown to induce a parity breaking first order phase
transition. Possibility of applying the results obtained to description of
magnetic phase transitions in high-temperature superconductors is discussed.
| [
{
"created": "Thu, 28 Dec 2000 12:17:19 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Jan 2001 12:55:27 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Zhukovsky",
"V. Ch.",
""
],
[
"Klimenko",
"K. G.",
""
],
[
"Khudyakov",
"V. V.",
""
],
[
"Ebert",
"D.",
""
]
] | In the framework of a (2+1)-dimensional P-even massive Gross-Neveu model, an external magnetic field is shown to induce a parity breaking first order phase transition. Possibility of applying the results obtained to description of magnetic phase transitions in high-temperature superconductors is discussed. |
2307.08229 | Andrew Frey | Jiayue Yang and Andrew R. Frey | Complexity, scaling, and a phase transition | 19pp; v2 minor edits, added references, aesthetic changes to figure
4; v3 minor edits, matches published version up to typography | JHEP09(2023)029 | 10.1007/JHEP09(2023)029 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the holographic complexity of CFTs compactified on a circle
with a Wilson line, dual to magnetized solitons in AdS$_4$ and AdS$_5$. These
theories have a confinement-deconfinement phase transition as a function of the
Wilson line, and the complexity of formation acts as an order parameter for
this transition. Through explicit calculation, we show that proposed complexity
functionals based on volume and action obey a scaling relation with radius of
the circle and further prove that a broad family of potential complexity
functionals obeys this scaling behavior. As a result, we conjecture that the
scaling law applies to the complexity of conformal field theories on a circle
in more general circumstances.
| [
{
"created": "Mon, 17 Jul 2023 04:03:09 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Aug 2023 22:55:35 GMT",
"version": "v2"
},
{
"created": "Thu, 29 Feb 2024 05:01:54 GMT",
"version": "v3"
}
] | 2024-03-01 | [
[
"Yang",
"Jiayue",
""
],
[
"Frey",
"Andrew R.",
""
]
] | We investigate the holographic complexity of CFTs compactified on a circle with a Wilson line, dual to magnetized solitons in AdS$_4$ and AdS$_5$. These theories have a confinement-deconfinement phase transition as a function of the Wilson line, and the complexity of formation acts as an order parameter for this transition. Through explicit calculation, we show that proposed complexity functionals based on volume and action obey a scaling relation with radius of the circle and further prove that a broad family of potential complexity functionals obeys this scaling behavior. As a result, we conjecture that the scaling law applies to the complexity of conformal field theories on a circle in more general circumstances. |
2210.03083 | Alexey Milekhin | Alexey Milekhin, Fedor K. Popov | Measurement-induced phase transition in teleportation and wormholes | v1: 28 pages, 9 figures, v2: discussion on weak projections is
significantly improved | SciPost Phys. 17, 020 (2024) | 10.21468/SciPostPhys.17.1.020 | null | hep-th cond-mat.stat-mech cond-mat.str-el quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We demonstrate that some quantum teleportation protocols exhibit measurement
induced phase transitions in Sachdev-Ye-Kitaev model. Namely, Kitaev-Yoshida
and Gao-Jafferis-Wall protocols have a phase transition if we apply them at a
large projection rate or at a large coupling rate respectively. It is
well-known that at small rates they allow teleportation to happen only within a
small time-window. We show that at large rates, the system goes into a new
steady state, where the teleportation can be performed at any moment. In dual
Jackiw-Teitelboim gravity these phase transitions correspond to the formation
of an eternal traversable wormhole. In the Kitaev-Yoshida case this novel type
of wormhole is supported by continuous projections.
| [
{
"created": "Thu, 6 Oct 2022 17:41:16 GMT",
"version": "v1"
},
{
"created": "Sun, 5 Mar 2023 04:56:54 GMT",
"version": "v2"
}
] | 2024-07-31 | [
[
"Milekhin",
"Alexey",
""
],
[
"Popov",
"Fedor K.",
""
]
] | We demonstrate that some quantum teleportation protocols exhibit measurement induced phase transitions in Sachdev-Ye-Kitaev model. Namely, Kitaev-Yoshida and Gao-Jafferis-Wall protocols have a phase transition if we apply them at a large projection rate or at a large coupling rate respectively. It is well-known that at small rates they allow teleportation to happen only within a small time-window. We show that at large rates, the system goes into a new steady state, where the teleportation can be performed at any moment. In dual Jackiw-Teitelboim gravity these phase transitions correspond to the formation of an eternal traversable wormhole. In the Kitaev-Yoshida case this novel type of wormhole is supported by continuous projections. |
1511.08687 | Miguel Pino | Laura Donnay, Gaston Giribet, Hernan A. Gonzalez, Miguel Pino | Supertranslations and Superrotations at the Black Hole Horizon | 6 pages, references added, published version | Phys. Rev. Lett. 116, 091101 (2016) | 10.1103/PhysRevLett.116.091101 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the asymptotic symmetries close to nonextremal black hole
horizons are generated by an extension of supertranslations. This group is
generated by a semidirect sum of Virasoro and Abelian currents. The charges
associated with the asymptotic Killing symmetries satisfy the same algebra.
When considering the special case of a stationary black hole, the zero mode
charges correspond to the angular momentum and the entropy at the horizon.
| [
{
"created": "Fri, 27 Nov 2015 14:38:49 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Mar 2016 20:28:11 GMT",
"version": "v2"
}
] | 2016-03-09 | [
[
"Donnay",
"Laura",
""
],
[
"Giribet",
"Gaston",
""
],
[
"Gonzalez",
"Hernan A.",
""
],
[
"Pino",
"Miguel",
""
]
] | We show that the asymptotic symmetries close to nonextremal black hole horizons are generated by an extension of supertranslations. This group is generated by a semidirect sum of Virasoro and Abelian currents. The charges associated with the asymptotic Killing symmetries satisfy the same algebra. When considering the special case of a stationary black hole, the zero mode charges correspond to the angular momentum and the entropy at the horizon. |
1903.08878 | Eduardo Gonzalo-Badia | Eduardo Gonzalo and Luis E. Ib\'a\~nez | A Strong Scalar Weak Gravity Conjecture and Some Implications | More accurate version of condition (1.5) given. Higgs-like example
discussed. Section on inflation improved. References added | null | 10.1007/JHEP08(2019)118 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a new version of the scalar Weak Gravity Conjecture (WGC) which
would apply to any scalar field coupled to quantum gravity. For a single scalar
it is given by the differential constraint $V''\leq
(2V'''^2/V''-V'''')M_{\text{p}}^2$. It corresponds to the statement that
self-interactions of a scalar must be stronger than gravity for any value of
the scalar field. We find that the solutions which saturate the bound
correspond to towers of extremal states with mass
$m^2(\phi)=m_0^2/((R/m)^2+1/(nR)^2)$, with $R^2=e^\phi$, consistent with the
emergence of an extra dimension at large or small $R$ and the existence of
extended objects (strings). These states act as WGC states for the scalar
$\phi$. It is also consistent with the distance swampland conjecture with a
built-in duality symmetry. From this constraint one can derive several
swampland conjectures. In particular one finds that an axion potential is only
consistent if $f\leq M_{\text{p}}$. The conjecture has far reaching
consequences and applies to several interesting physical systems: i) Among
chaotic inflation potentials only those asymptotically linear may survive. ii)
If applied to the radion of the circle compactification of the Standard Model
to 3D, the constraint implies that the 4D cosmological constant scale must be
larger than the mass of the lightest neutrino, which must be Dirac and in
normal hierarchy. iii) It also constraints simplest moduli fixing string
models. The simplest KKLT model is compatible with the constraints but the
latter may be relevant for some choices of parameters.
| [
{
"created": "Thu, 21 Mar 2019 08:53:42 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Apr 2019 16:20:22 GMT",
"version": "v2"
}
] | 2019-10-02 | [
[
"Gonzalo",
"Eduardo",
""
],
[
"Ibáñez",
"Luis E.",
""
]
] | We propose a new version of the scalar Weak Gravity Conjecture (WGC) which would apply to any scalar field coupled to quantum gravity. For a single scalar it is given by the differential constraint $V''\leq (2V'''^2/V''-V'''')M_{\text{p}}^2$. It corresponds to the statement that self-interactions of a scalar must be stronger than gravity for any value of the scalar field. We find that the solutions which saturate the bound correspond to towers of extremal states with mass $m^2(\phi)=m_0^2/((R/m)^2+1/(nR)^2)$, with $R^2=e^\phi$, consistent with the emergence of an extra dimension at large or small $R$ and the existence of extended objects (strings). These states act as WGC states for the scalar $\phi$. It is also consistent with the distance swampland conjecture with a built-in duality symmetry. From this constraint one can derive several swampland conjectures. In particular one finds that an axion potential is only consistent if $f\leq M_{\text{p}}$. The conjecture has far reaching consequences and applies to several interesting physical systems: i) Among chaotic inflation potentials only those asymptotically linear may survive. ii) If applied to the radion of the circle compactification of the Standard Model to 3D, the constraint implies that the 4D cosmological constant scale must be larger than the mass of the lightest neutrino, which must be Dirac and in normal hierarchy. iii) It also constraints simplest moduli fixing string models. The simplest KKLT model is compatible with the constraints but the latter may be relevant for some choices of parameters. |
hep-th/0603162 | Toru Sasaki | Toru Sasaki | $O(-2)$ Blow-up Formula via Instanton Calculus on $\hat{C^2/Z_2}$ and
Weil Conjecture | 31 pages, reference and appendix added | null | null | null | hep-th math.AG | null | We calculate Betti numbers of the framed moduli space of instantons on
$\hat{{\bf C}^2/{\bf Z}_2}$, under the assumption that the corresponding
torsion free sheaves $E$ have vanishing properties
($Hom(E,E(-l_\infty))=Ext^2(E,E(-l_\infty))=0$). Moreover we derive the
generating function of Betti numbers and obtain closed formulas. On the other
hand, we derive a universal relation between the generating function of Betti
numbers of the moduli spaces of stable sheaves on $X$ with an $A_1$-singularity
and that on $\hat{X}$ blow-uped at the singularity, by using Weil conjecture.
We call this the $O(-2)$ blow-up formula. Applying this to $X={\bf C}^2/{\bf
Z}_2$ case, we reproduce the formula given by instanton calculus.
| [
{
"created": "Tue, 21 Mar 2006 00:56:45 GMT",
"version": "v1"
},
{
"created": "Tue, 16 May 2006 07:56:48 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Sasaki",
"Toru",
""
]
] | We calculate Betti numbers of the framed moduli space of instantons on $\hat{{\bf C}^2/{\bf Z}_2}$, under the assumption that the corresponding torsion free sheaves $E$ have vanishing properties ($Hom(E,E(-l_\infty))=Ext^2(E,E(-l_\infty))=0$). Moreover we derive the generating function of Betti numbers and obtain closed formulas. On the other hand, we derive a universal relation between the generating function of Betti numbers of the moduli spaces of stable sheaves on $X$ with an $A_1$-singularity and that on $\hat{X}$ blow-uped at the singularity, by using Weil conjecture. We call this the $O(-2)$ blow-up formula. Applying this to $X={\bf C}^2/{\bf Z}_2$ case, we reproduce the formula given by instanton calculus. |
hep-th/0703059 | Bang-Rong Zhou | Bang-Rong Zhou (Graduate School of Chinese Academy of Sciences) | Interplay between quark-antiquark and diquark condensates in vacuum in a
two-flavor Nambu-Jona-Lasinio model | 7 pages, revtex4, 1 figure, minor typos corrected | Commun.Theor.Phys.47:95-101,2007 | 10.1088/0253-6102/47/1/019 | null | hep-th | null | By means of a relativistic effective potential, we have analytically
researched competition between the quark-antiquark condensates $<\bar{q}q>$ and
the diquark condensates $<qq>$ in vacuum in ground state of a two-flavor
Nambu-Jona-Lasinio (NJL) model and obtained the $G_S-H_S$ phase diagram, where
$G_S$ and $H_S$ are the respective four-fermion coupling constants in scalar
quark-antiquark channel and scalar color anti-triplet diquark channel. The
results show that, in the chiral limit, there is only the pure $<\bar{q}q>$
phase when $G_S/H_S>2/3$, and as $G_S/H_S$ decreases to $2/3>G_S/H_S\geq 0$ one
will first have a coexistence phase of the condensates $<\bar{q}q>$ and $<qq>$
and then a pure $<qq>$ phase. In non-zero bare quark mass case, the critical
value of $G_S/H_S$ at which the pure $<\bar{q}q>$ phase will transfer to the
coexistence phase of the condensates $<\bar{q}q>$ and $<qq>$ will be less than
2/3. Our theoretical results, combined with present phenomenological fact that
there is no diquark condensates in the vacuum of QCD, will also impose a real
restriction to any given two-flavor NJL model which is intended to simulate
QCD, i.e. in such model the resulting smallest ratio $G_S/H_S$ after the Fierz
transformations in the Hartree approximation must be larger than 2/3. A few
phenomenological QCD-like NJL models are checked and analyzed.
| [
{
"created": "Wed, 7 Mar 2007 03:58:23 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Jun 2007 13:55:22 GMT",
"version": "v2"
}
] | 2009-03-19 | [
[
"Zhou",
"Bang-Rong",
"",
"Graduate School of Chinese Academy of Sciences"
]
] | By means of a relativistic effective potential, we have analytically researched competition between the quark-antiquark condensates $<\bar{q}q>$ and the diquark condensates $<qq>$ in vacuum in ground state of a two-flavor Nambu-Jona-Lasinio (NJL) model and obtained the $G_S-H_S$ phase diagram, where $G_S$ and $H_S$ are the respective four-fermion coupling constants in scalar quark-antiquark channel and scalar color anti-triplet diquark channel. The results show that, in the chiral limit, there is only the pure $<\bar{q}q>$ phase when $G_S/H_S>2/3$, and as $G_S/H_S$ decreases to $2/3>G_S/H_S\geq 0$ one will first have a coexistence phase of the condensates $<\bar{q}q>$ and $<qq>$ and then a pure $<qq>$ phase. In non-zero bare quark mass case, the critical value of $G_S/H_S$ at which the pure $<\bar{q}q>$ phase will transfer to the coexistence phase of the condensates $<\bar{q}q>$ and $<qq>$ will be less than 2/3. Our theoretical results, combined with present phenomenological fact that there is no diquark condensates in the vacuum of QCD, will also impose a real restriction to any given two-flavor NJL model which is intended to simulate QCD, i.e. in such model the resulting smallest ratio $G_S/H_S$ after the Fierz transformations in the Hartree approximation must be larger than 2/3. A few phenomenological QCD-like NJL models are checked and analyzed. |
hep-th/9610111 | Michael Bershadsky | Michael Bershadsky and Andrei Johansen | Colliding Singularities in F-theory and Phase Transitions | harvmac tex, 19 pages, minor misprints are corrected, the section on
SO(*)xSO(*) is extended, the discussion on small instantons is added | Nucl.Phys.B489:122-138,1997 | 10.1016/S0550-3213(97)00027-8 | HUTP--96/A047 | hep-th | null | We study F-theory on elliptic threefold Calabi-Yau near colliding
singularities. We demonstrate that resolutions of those singularities
generically correspond to transitions to phases characterized by new tensor
multiplets and enhanced gauge symmetry. These are governed by the dynamics of
tensionless strings. We also find new transition points which are associated
with several small instantons simultaneously shrinking to zero size.
| [
{
"created": "Wed, 16 Oct 1996 22:06:42 GMT",
"version": "v1"
},
{
"created": "Sun, 27 Oct 1996 18:33:09 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Bershadsky",
"Michael",
""
],
[
"Johansen",
"Andrei",
""
]
] | We study F-theory on elliptic threefold Calabi-Yau near colliding singularities. We demonstrate that resolutions of those singularities generically correspond to transitions to phases characterized by new tensor multiplets and enhanced gauge symmetry. These are governed by the dynamics of tensionless strings. We also find new transition points which are associated with several small instantons simultaneously shrinking to zero size. |
hep-th/0404120 | Werner Nahm | Werner Nahm | Conformal Field Theory and Torsion Elements of the Bloch Group | Contribution to Les Houches Lecture Notes, March 2003, 63 pages | null | null | null | hep-th math.KT math.NT | null | We argue that rational conformally invariant quantum field theories in two
dimensions are closely related to torsion elements of the algebraic K-theory
group K_3(C). If such a theory has an integrable matrix perturbation with
purely elastic scattering matrix, then the partition function has a canonical
sum representation. Its asymptotic behaviour is given in terms of the solution
of an algebraic equation which can be read off from the scattering matrix. The
solutions yield torsion elements of an extension of the Bloch group which seems
to be equal to K_3(C). These algebraic equations are solved for integrable
models given by arbitrary pairs of equations are solved for integrable models
given by arbitrary pairs of A-type Cartan matrices. The paper should be
readable by mathematicians.
| [
{
"created": "Sun, 18 Apr 2004 15:15:05 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Nahm",
"Werner",
""
]
] | We argue that rational conformally invariant quantum field theories in two dimensions are closely related to torsion elements of the algebraic K-theory group K_3(C). If such a theory has an integrable matrix perturbation with purely elastic scattering matrix, then the partition function has a canonical sum representation. Its asymptotic behaviour is given in terms of the solution of an algebraic equation which can be read off from the scattering matrix. The solutions yield torsion elements of an extension of the Bloch group which seems to be equal to K_3(C). These algebraic equations are solved for integrable models given by arbitrary pairs of equations are solved for integrable models given by arbitrary pairs of A-type Cartan matrices. The paper should be readable by mathematicians. |
1212.6143 | Saurabh Gupta | Saurabh Gupta, R. Kumar | Augmented Superfield Approach to Non-Yang-Mills Symmetries of Jackiw-Pi
Model: Novel Observations | LaTeX file, 17 pages, journal version, typos fixed, references
modified | Mod. Phys. Lett. A 28: 1350011, 2013 | 10.1142/S0217732313500119 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive the off-shell nilpotent and absolutely anticommuting
Becchi-Rouet-Stora-Tyutin (BRST) as well as anti-BRST symmetry transformations
corresponding to the non-Yang-Mills symmetry transformations of (2 + 1)-
dimensional Jackiw-Pi (JP) model within the framework of "augmented" superfield
formalism. The Curci-Ferrari restriction, which is a hallmark of non-Abelian
1-form gauge theories, does not appear in this case. One of the novel features
of our present investigation is the derivation of proper (anti-)BRST symmetry
transformations corresponding to the auxiliary field \rho that can not be
derived by any conventional means.
| [
{
"created": "Wed, 26 Dec 2012 09:06:16 GMT",
"version": "v1"
},
{
"created": "Thu, 31 Jan 2013 07:29:30 GMT",
"version": "v2"
}
] | 2013-02-01 | [
[
"Gupta",
"Saurabh",
""
],
[
"Kumar",
"R.",
""
]
] | We derive the off-shell nilpotent and absolutely anticommuting Becchi-Rouet-Stora-Tyutin (BRST) as well as anti-BRST symmetry transformations corresponding to the non-Yang-Mills symmetry transformations of (2 + 1)- dimensional Jackiw-Pi (JP) model within the framework of "augmented" superfield formalism. The Curci-Ferrari restriction, which is a hallmark of non-Abelian 1-form gauge theories, does not appear in this case. One of the novel features of our present investigation is the derivation of proper (anti-)BRST symmetry transformations corresponding to the auxiliary field \rho that can not be derived by any conventional means. |
2112.13883 | Juan Miguel Nieto Garc\'ia | Juan Miguel Nieto Garc\'ia and Leander Wyss | Jordan blocks and the Bethe ansatz I: The eclectic spin chain as a limit | 42 pages; v2: title and abstract modified, typos corrected,
discussion improved, additional results in sections 5 and 6; v3: typos
corrected, discussion improved | null | 10.1016/j.nuclphysb.2022.115860 | DMUS-MP-21/17 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a procedure to extract the generalised eigenvectors of a
non-diagonalisable matrix by considering a diagonalisable perturbation of it
and computing the non-diagonalisable limit of its eigenvectors. As an example
of this process, we compute a subset of the spectrum of the eclectic spin chain
by means of the Nested Coordinate Bethe Ansatz. This allows us to show that the
Bethe Ansatz of the finitely twisted spin chain contains enough information to
reconstruct the generalised eigenvectors of the eclectic spin chain.
| [
{
"created": "Mon, 27 Dec 2021 20:01:26 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Feb 2022 15:14:11 GMT",
"version": "v2"
},
{
"created": "Wed, 22 Jun 2022 09:54:46 GMT",
"version": "v3"
}
] | 2022-07-13 | [
[
"García",
"Juan Miguel Nieto",
""
],
[
"Wyss",
"Leander",
""
]
] | We present a procedure to extract the generalised eigenvectors of a non-diagonalisable matrix by considering a diagonalisable perturbation of it and computing the non-diagonalisable limit of its eigenvectors. As an example of this process, we compute a subset of the spectrum of the eclectic spin chain by means of the Nested Coordinate Bethe Ansatz. This allows us to show that the Bethe Ansatz of the finitely twisted spin chain contains enough information to reconstruct the generalised eigenvectors of the eclectic spin chain. |
2403.18652 | H. Arthur Weldon | H. Arthur Weldon | The Tolman-Ehrenfest effect for an ideal gas in a background of
time-independent electric, magnetic, and gravitational fields | 10 pages | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | The statistical mechanics of an ideal gas of point particles moving in a time
independent background metric with $g_{0j}\neq 0$ is investigated. An explicit
calculation shows that when there is no background electrostatic or
magnetostatic field the thermodynamic pressure, energy density, and thermally
averaged energy-momentum tensor depend on temperature and chemical potential
only through the ratios $T_{0}/\sqrt{g_{00}}$ and $\mu_{0}/\sqrt{g_{00}}$. A
background magnetostatic field does not change this, however with a background
electrostatic field the previous results are multiplied by a factor
$\exp(-eA_{0}/T_{0})$, which is an exception to the strict Tolman-Ehrenfest
rule because the system is open.
| [
{
"created": "Wed, 27 Mar 2024 14:59:51 GMT",
"version": "v1"
}
] | 2024-03-28 | [
[
"Weldon",
"H. Arthur",
""
]
] | The statistical mechanics of an ideal gas of point particles moving in a time independent background metric with $g_{0j}\neq 0$ is investigated. An explicit calculation shows that when there is no background electrostatic or magnetostatic field the thermodynamic pressure, energy density, and thermally averaged energy-momentum tensor depend on temperature and chemical potential only through the ratios $T_{0}/\sqrt{g_{00}}$ and $\mu_{0}/\sqrt{g_{00}}$. A background magnetostatic field does not change this, however with a background electrostatic field the previous results are multiplied by a factor $\exp(-eA_{0}/T_{0})$, which is an exception to the strict Tolman-Ehrenfest rule because the system is open. |
hep-th/0202023 | Jose M. Gracia-Bondia | Jose M. Gracia-Bondia | Improved Epstein-Glaser renormalization in coordinate space I. Euclidean
framework | LaTeX, 30 pages | Math.Phys.Anal.Geom.6:59-88,2003 | null | BiBoS/01-12-069 DFTUZ/02/01 FT-UCM/20-2002 | hep-th | null | In a series of papers, we investigate the reformulation of Epstein-Glaser
renormalization in coordinate space, both in analytic and Hopf algebraic terms.
This first article deals with analytical aspects. Some of the historically good
reasons for the divorces of the Epstein-Glaser method, both from mainstream
quantum field theory and the mathematical literature on distributions, are made
plain; and overcome.
| [
{
"created": "Mon, 4 Feb 2002 17:16:49 GMT",
"version": "v1"
}
] | 2010-11-24 | [
[
"Gracia-Bondia",
"Jose M.",
""
]
] | In a series of papers, we investigate the reformulation of Epstein-Glaser renormalization in coordinate space, both in analytic and Hopf algebraic terms. This first article deals with analytical aspects. Some of the historically good reasons for the divorces of the Epstein-Glaser method, both from mainstream quantum field theory and the mathematical literature on distributions, are made plain; and overcome. |
2203.06511 | Jeevan Chandra Namburi | Jeevan Chandra, Scott Collier, Thomas Hartman and Alexander Maloney | Semiclassical 3D gravity as an average of large-c CFTs | 96 pages (typos fixed, references added) | null | 10.1007/JHEP12(2022)069 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A two-dimensional CFT dual to a semiclassical theory of gravity in three
dimensions must have a large central charge $c$ and a sparse low energy
spectrum. This constrains the OPE coefficients and density of states of the CFT
via the conformal bootstrap. We define an ensemble of CFT data by averaging
over OPE coefficients subject to these bootstrap constraints, and show that
calculations in this ensemble reproduce semiclassical 3D gravity. We analyze a
wide variety of gravitational solutions, both in pure Einstein gravity and
gravity coupled to massive point particles, including Euclidean wormholes with
multiple boundaries and higher topology spacetimes with a single boundary. In
all cases we find that the on-shell action of gravity agrees with the
ensemble-averaged CFT at large $c$. The one-loop corrections also match in the
cases where they have been computed. We also show that the bulk effective
theory has random couplings induced by wormholes, providing a controlled,
semiclassical realization of the mechanism of Coleman, Giddings, and
Strominger.
| [
{
"created": "Sat, 12 Mar 2022 20:31:19 GMT",
"version": "v1"
},
{
"created": "Sat, 17 Dec 2022 14:23:57 GMT",
"version": "v2"
}
] | 2023-01-04 | [
[
"Chandra",
"Jeevan",
""
],
[
"Collier",
"Scott",
""
],
[
"Hartman",
"Thomas",
""
],
[
"Maloney",
"Alexander",
""
]
] | A two-dimensional CFT dual to a semiclassical theory of gravity in three dimensions must have a large central charge $c$ and a sparse low energy spectrum. This constrains the OPE coefficients and density of states of the CFT via the conformal bootstrap. We define an ensemble of CFT data by averaging over OPE coefficients subject to these bootstrap constraints, and show that calculations in this ensemble reproduce semiclassical 3D gravity. We analyze a wide variety of gravitational solutions, both in pure Einstein gravity and gravity coupled to massive point particles, including Euclidean wormholes with multiple boundaries and higher topology spacetimes with a single boundary. In all cases we find that the on-shell action of gravity agrees with the ensemble-averaged CFT at large $c$. The one-loop corrections also match in the cases where they have been computed. We also show that the bulk effective theory has random couplings induced by wormholes, providing a controlled, semiclassical realization of the mechanism of Coleman, Giddings, and Strominger. |
2305.15476 | Rahul Poddar | Rahul Poddar | $T \overline T$-Deformations of Holographic Warped CFTs | 15 pages, typos corrected, clarifications added | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We explore $T \overline T$ deformations of Warped Conformal Field Theories
(WCFTs) in two dimensions as examples of $T\overline T$ deformed
non-relativistic quantum field theories. WCFTs are quantum field theories with
a Virasoro$\times$U(1) Kac-Moody symmetry. We compute the deformed symmetry
algebra of a $T\overline T$ deformed holographic WCFT, using the asymptotic
symmetries of AdS$_3$ with $T \overline T$ deformed Comp\'ere, Song and
Strominger (CSS) boundary conditions. The U(1) Kac-Moody symmetry survives
provided one allows the boundary metric to transform under the asymptotic
symmetry. The Virasoro sector remains but is now deformed and no longer chiral.
| [
{
"created": "Wed, 24 May 2023 18:00:12 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Sep 2023 11:12:00 GMT",
"version": "v2"
}
] | 2023-09-21 | [
[
"Poddar",
"Rahul",
""
]
] | We explore $T \overline T$ deformations of Warped Conformal Field Theories (WCFTs) in two dimensions as examples of $T\overline T$ deformed non-relativistic quantum field theories. WCFTs are quantum field theories with a Virasoro$\times$U(1) Kac-Moody symmetry. We compute the deformed symmetry algebra of a $T\overline T$ deformed holographic WCFT, using the asymptotic symmetries of AdS$_3$ with $T \overline T$ deformed Comp\'ere, Song and Strominger (CSS) boundary conditions. The U(1) Kac-Moody symmetry survives provided one allows the boundary metric to transform under the asymptotic symmetry. The Virasoro sector remains but is now deformed and no longer chiral. |
2111.03012 | Anwesha Chakraborty Ms | Anwesha Chakraborty, Partha Nandi, Biswajit Chakraborty | Spectral triple with real structure on fuzzy sphere | 16 Pages, Some typographical corrections are done in version-2 | J. Math. Phys. 63, 023504 (2022) | 10.1063/5.0084008 | null | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | Here we have illustrated the construction of a real structure on fuzzy sphere
$S^2_*$ in its spin-1/2 representation. Considering the SU(2) covariant Dirac
and chirality operator on $S^2_*$ given by Watamura et. al. in [6], we have
shown that the real structure is consistent with other spectral data for KO
dimension-4 fulfilling the zero order condition, where we find it necessary to
enlarge the symmetry group from SO(3) to the full orthogonal group O(3).
However the first order condition is violated thus paving the way to construct
a toy model for an SU(2) gauge theory to capture some features of physics
beyond standard model following Connes et.al. [9].
| [
{
"created": "Thu, 4 Nov 2021 17:15:26 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Feb 2022 08:37:48 GMT",
"version": "v2"
}
] | 2022-02-24 | [
[
"Chakraborty",
"Anwesha",
""
],
[
"Nandi",
"Partha",
""
],
[
"Chakraborty",
"Biswajit",
""
]
] | Here we have illustrated the construction of a real structure on fuzzy sphere $S^2_*$ in its spin-1/2 representation. Considering the SU(2) covariant Dirac and chirality operator on $S^2_*$ given by Watamura et. al. in [6], we have shown that the real structure is consistent with other spectral data for KO dimension-4 fulfilling the zero order condition, where we find it necessary to enlarge the symmetry group from SO(3) to the full orthogonal group O(3). However the first order condition is violated thus paving the way to construct a toy model for an SU(2) gauge theory to capture some features of physics beyond standard model following Connes et.al. [9]. |
hep-th/9709205 | Edisom Moreira | E. S. Moreira, Jnr | Aspects of classical and quantum motion on a flux cone | LaTeX file, 21 pages, 8 figures | Phys.Rev. A58 (1998) 1678 | 10.1103/PhysRevA.58.1678 | IFT-P.059/97 | hep-th gr-qc quant-ph | null | Motion of a non-relativistic particle on a cone with a magnetic flux running
through the cone axis (a ``flux cone'') is studied. It is expressed as the
motion of a particle moving on the Euclidean plane under the action of a
velocity-dependent force. Probability fluid (``quantum flow'') associated with
a particular stationary state is studied close to the singularity,
demonstrating non trivial Aharonov-Bohm effects. For example, it is shown that
near the singularity quantum flow departs from classical flow. In the context
of the hydrodynamical approach to quantum mechanics, quantum potential due to
the conical singularity is determined and the way it affects quantum flow is
analysed. It is shown that the winding number of classical orbits plays a role
in the description of the quantum flow. Connectivity of the configuration space
is also discussed.
| [
{
"created": "Mon, 29 Sep 1997 09:48:40 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Moreira",
"E. S.",
""
],
[
"Jnr",
"",
""
]
] | Motion of a non-relativistic particle on a cone with a magnetic flux running through the cone axis (a ``flux cone'') is studied. It is expressed as the motion of a particle moving on the Euclidean plane under the action of a velocity-dependent force. Probability fluid (``quantum flow'') associated with a particular stationary state is studied close to the singularity, demonstrating non trivial Aharonov-Bohm effects. For example, it is shown that near the singularity quantum flow departs from classical flow. In the context of the hydrodynamical approach to quantum mechanics, quantum potential due to the conical singularity is determined and the way it affects quantum flow is analysed. It is shown that the winding number of classical orbits plays a role in the description of the quantum flow. Connectivity of the configuration space is also discussed. |
hep-th/0405089 | Frank G\"ohmann | F. G\"ohmann, A. Kl\"umper and A. Seel | Integral representations for correlation functions of the XXZ chain at
finite temperature | 33 pages, 2 figures, v2: 2 typos corrected, 1 figure added | J.Phys. A37 (2004) 7625-7652 | 10.1088/0305-4470/37/31/001 | null | hep-th cond-mat.stat-mech math-ph math.MP | null | We derive a novel multiple integral representation for a generating function
of the $\s^z$-$\s^z$ correlation functions of the spin-$\2$ XXZ chain at finite
temperature and finite, longitudinal magnetic field. Our work combines
algebraic Bethe ansatz techniques for the calculation of matrix elements with
the quantum transfer matrix approach to thermodynamics.
| [
{
"created": "Mon, 10 May 2004 19:06:02 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Jun 2004 14:33:13 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Göhmann",
"F.",
""
],
[
"Klümper",
"A.",
""
],
[
"Seel",
"A.",
""
]
] | We derive a novel multiple integral representation for a generating function of the $\s^z$-$\s^z$ correlation functions of the spin-$\2$ XXZ chain at finite temperature and finite, longitudinal magnetic field. Our work combines algebraic Bethe ansatz techniques for the calculation of matrix elements with the quantum transfer matrix approach to thermodynamics. |
2204.02250 | Sayantan Choudhury | Kiran Adhikari, Sayantan Choudhury, Abhishek Roy | Krylov Complexity in Quantum Field Theory | 11 pages, 2 figures, Updated version, Accepted for publication in
Nuclear Physics B | Nuclear Physics B 993 (2023) 116263 | 10.1016/j.nuclphysb.2023.116263 | null | hep-th cond-mat.stat-mech gr-qc hep-ph quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we study the Krylov complexity in quantum field theory and
make a connection with the holographic "Complexity equals Volume" conjecture.
When Krylov basis matches with Fock basis, for several interesting settings, we
observe that the Krylov complexity equals the average particle number showing
that complexity scales with volume. Using similar formalism, we compute the
Krylov complexity for free scalar field theory and find surprising similarities
with holography. We also extend this framework for field theory where an
inverted oscillator appears naturally and explore its chaotic behavior.
| [
{
"created": "Tue, 5 Apr 2022 14:42:10 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Jun 2023 10:25:26 GMT",
"version": "v2"
},
{
"created": "Thu, 8 Jun 2023 02:01:31 GMT",
"version": "v3"
},
{
"created": "Mon, 12 Jun 2023 12:14:23 GMT",
"version": "v4"
}
] | 2023-06-21 | [
[
"Adhikari",
"Kiran",
""
],
[
"Choudhury",
"Sayantan",
""
],
[
"Roy",
"Abhishek",
""
]
] | In this paper, we study the Krylov complexity in quantum field theory and make a connection with the holographic "Complexity equals Volume" conjecture. When Krylov basis matches with Fock basis, for several interesting settings, we observe that the Krylov complexity equals the average particle number showing that complexity scales with volume. Using similar formalism, we compute the Krylov complexity for free scalar field theory and find surprising similarities with holography. We also extend this framework for field theory where an inverted oscillator appears naturally and explore its chaotic behavior. |
1707.06581 | Sebastian de Haro | Sebastian De Haro | Spacetime and Physical Equivalence | 25 pages. Winner of the essay contest "Space and Time After Quantum
Gravity" of the University of Illinois at Chicago and the University of
Geneva | null | 10.1017/9781108655705.015 | null | hep-th gr-qc physics.hist-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this essay I begin to lay out a conceptual scheme for: (i) analysing
dualities as cases of theoretical equivalence; (ii) assessing when cases of
theoretical equivalence are also cases of physical equivalence. The scheme is
applied to gauge/gravity dualities. I expound what I argue to be their
contribution to questions about: (iii) the nature of spacetime in quantum
gravity; (iv) broader philosophical and physical discussions of spacetime.
(i)-(ii) proceed by analysing duality through four contrasts. A duality will be
a suitable isomorphism between models: and the four relevant contrasts are as
follows:
(a) Bare theory: a triple of states, quantities, and dynamics endowed with
appropriate structures and symmetries; vs. interpreted theory: which is endowed
with, in addition, a suitable pair of interpretative maps.
(b) Extendable vs. unextendable theories: which can, respectively cannot, be
extended as regards their domains of application.
(c) External vs. internal intepretations: which are constructed,
respectively, by coupling the theory to another interpreted theory vs. from
within the theory itself.
(d) Theoretical vs. physical equivalence: which contrasts formal equivalence
with the equivalence of fully interpreted theories.
I apply this scheme to answering questions (iii)-(iv) for gauge/gravity
dualities. I argue that the things that are physically relevant are those that
stand in a bijective correspondence under duality: the common core of the two
models. I therefore conclude that most of the mathematical and physical
structures that we are familiar with, in these models, are largely, though
crucially never entirely, not part of that common core. Thus, the
interpretation of dualities for theories of quantum gravity compels us to
rethink the roles that spacetime, and many other tools in theoretical physics,
play in theories of spacetime.
| [
{
"created": "Wed, 19 Jul 2017 09:24:56 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Feb 2019 13:53:22 GMT",
"version": "v2"
},
{
"created": "Wed, 10 Jun 2020 14:46:32 GMT",
"version": "v3"
}
] | 2020-06-15 | [
[
"De Haro",
"Sebastian",
""
]
] | In this essay I begin to lay out a conceptual scheme for: (i) analysing dualities as cases of theoretical equivalence; (ii) assessing when cases of theoretical equivalence are also cases of physical equivalence. The scheme is applied to gauge/gravity dualities. I expound what I argue to be their contribution to questions about: (iii) the nature of spacetime in quantum gravity; (iv) broader philosophical and physical discussions of spacetime. (i)-(ii) proceed by analysing duality through four contrasts. A duality will be a suitable isomorphism between models: and the four relevant contrasts are as follows: (a) Bare theory: a triple of states, quantities, and dynamics endowed with appropriate structures and symmetries; vs. interpreted theory: which is endowed with, in addition, a suitable pair of interpretative maps. (b) Extendable vs. unextendable theories: which can, respectively cannot, be extended as regards their domains of application. (c) External vs. internal intepretations: which are constructed, respectively, by coupling the theory to another interpreted theory vs. from within the theory itself. (d) Theoretical vs. physical equivalence: which contrasts formal equivalence with the equivalence of fully interpreted theories. I apply this scheme to answering questions (iii)-(iv) for gauge/gravity dualities. I argue that the things that are physically relevant are those that stand in a bijective correspondence under duality: the common core of the two models. I therefore conclude that most of the mathematical and physical structures that we are familiar with, in these models, are largely, though crucially never entirely, not part of that common core. Thus, the interpretation of dualities for theories of quantum gravity compels us to rethink the roles that spacetime, and many other tools in theoretical physics, play in theories of spacetime. |
2312.14928 | Juven C. Wang | Juven Wang | Family Puzzle, Framing Topology, $c_-=24$ and 3(E8)$_1$ Conformal Field
Theories: 48/16 = 45/15 = 24/8 =3 | null | null | null | null | hep-th cond-mat.str-el hep-lat hep-ph math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | Family Puzzle or Generation Problem demands an explanation of why there are 3
families or generations of quarks and leptons in the Standard Model of particle
physics. Here we propose a novel solution -- the multiple of 3 families of 16
Weyl fermions (namely $(N_f=3) \times 16$) in the 3+1d spacetime dimensions are
topologically robust due to constraints rooted in profound mathematics (such as
Hirzebruch signature and Rokhlin theorems, and cobordism) and derivable in
physics (such as chiral edge states, quantized thermal Hall conductance, and
gravitational Chern-Simons theory), which holds true even forgetting or getting
rid of any global symmetry or gauge structure of the Standard Model. By the
dimensional reduction through a sequence of sign-reversing mass domain wall of
domain wall and so on, we reduce the Standard Model fermions to obtain the
$(N_f=3) \times 16$ multiple of 1+1d Majorana-Weyl fermion with a total chiral
central charge $c_-=24$. Effectively via the fermionization-bosonization, the
1+1d theory becomes 3 copies of $c_-=8$ of (E$_8)_1$ conformal field theory,
living on the boundary of 3 copies of 2+1d E$_8$ quantum Hall states. Based on
the framing anomaly-free $c_- = 0 \mod 24$ modular invariance, the framed
bordism and string bordism $\mathbb{Z}_{24}$ class, the 2-framing and
$p_1$-structure, the $w_1$-$p_1$ bordism $\mathbb{Z}_3$ class constraints, we
derive the family number constraint $N_f \in (\frac{48}{16} =\frac{24}{8}=3)
\mathbb{Z}$. The dimensional reduction process, although not necessary, is
sufficiently supported by the $\mathbb{Z}_{16}$ class Smith homomorphism. We
also comment on the $\frac{45}{15}=3$ relation: the 3 families of 15
Weyl-fermion Standard Model vacuum where the absence of some sterile
right-handed neutrinos is fulfilled by additional topological field theories or
conformal field theories in Ultra Unification.
| [
{
"created": "Fri, 22 Dec 2023 18:59:46 GMT",
"version": "v1"
}
] | 2024-01-19 | [
[
"Wang",
"Juven",
""
]
] | Family Puzzle or Generation Problem demands an explanation of why there are 3 families or generations of quarks and leptons in the Standard Model of particle physics. Here we propose a novel solution -- the multiple of 3 families of 16 Weyl fermions (namely $(N_f=3) \times 16$) in the 3+1d spacetime dimensions are topologically robust due to constraints rooted in profound mathematics (such as Hirzebruch signature and Rokhlin theorems, and cobordism) and derivable in physics (such as chiral edge states, quantized thermal Hall conductance, and gravitational Chern-Simons theory), which holds true even forgetting or getting rid of any global symmetry or gauge structure of the Standard Model. By the dimensional reduction through a sequence of sign-reversing mass domain wall of domain wall and so on, we reduce the Standard Model fermions to obtain the $(N_f=3) \times 16$ multiple of 1+1d Majorana-Weyl fermion with a total chiral central charge $c_-=24$. Effectively via the fermionization-bosonization, the 1+1d theory becomes 3 copies of $c_-=8$ of (E$_8)_1$ conformal field theory, living on the boundary of 3 copies of 2+1d E$_8$ quantum Hall states. Based on the framing anomaly-free $c_- = 0 \mod 24$ modular invariance, the framed bordism and string bordism $\mathbb{Z}_{24}$ class, the 2-framing and $p_1$-structure, the $w_1$-$p_1$ bordism $\mathbb{Z}_3$ class constraints, we derive the family number constraint $N_f \in (\frac{48}{16} =\frac{24}{8}=3) \mathbb{Z}$. The dimensional reduction process, although not necessary, is sufficiently supported by the $\mathbb{Z}_{16}$ class Smith homomorphism. We also comment on the $\frac{45}{15}=3$ relation: the 3 families of 15 Weyl-fermion Standard Model vacuum where the absence of some sterile right-handed neutrinos is fulfilled by additional topological field theories or conformal field theories in Ultra Unification. |
hep-th/9705130 | Matthias Gaberdiel | O. Bergman, M.R. Gaberdiel, G. Lifschytz | Branes, Orientifolds and the Creation of Elementary Strings | 24 pages, LaTeX, 4 postscript-figures; substantial changes to
sections 2 and 3 | Nucl.Phys. B509 (1998) 194-215 | 10.1016/S0550-3213(97)00632-9 | HUTP-97/A022, BRX TH-413, PUPT-1703 | hep-th | null | The potential of a configuration of two Dirichlet branes for which the number
of ND-directions is eight is determined. Depending on whether one of the branes
is an anti-brane or a brane, the potential vanishes or is twice as large as the
dilaton-gravitational potential. This is shown to be related to the fact that a
fundamental string is created when two such branes cross. Special emphasis is
given to the D0-D8 system, for which an interpretation of these results in
terms of the massive IIA supergravity is presented. It is also shown that the
branes cannot move non-adiabatically in the transverse direction. The
configuration of a zero brane and an orientifold 8-plane is analyzed in a
similar way, and some implications for the type IA-heterotic duality and the
heterotic matrix theory are discussed.
| [
{
"created": "Sun, 18 May 1997 20:41:31 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Jun 1997 16:04:25 GMT",
"version": "v2"
},
{
"created": "Tue, 4 Nov 1997 15:48:02 GMT",
"version": "v3"
}
] | 2009-10-30 | [
[
"Bergman",
"O.",
""
],
[
"Gaberdiel",
"M. R.",
""
],
[
"Lifschytz",
"G.",
""
]
] | The potential of a configuration of two Dirichlet branes for which the number of ND-directions is eight is determined. Depending on whether one of the branes is an anti-brane or a brane, the potential vanishes or is twice as large as the dilaton-gravitational potential. This is shown to be related to the fact that a fundamental string is created when two such branes cross. Special emphasis is given to the D0-D8 system, for which an interpretation of these results in terms of the massive IIA supergravity is presented. It is also shown that the branes cannot move non-adiabatically in the transverse direction. The configuration of a zero brane and an orientifold 8-plane is analyzed in a similar way, and some implications for the type IA-heterotic duality and the heterotic matrix theory are discussed. |
1112.4285 | Augusto Sagnotti Prof. | A. Sagnotti (Scuola Normale Superiore and INFN - Pisa) | Notes on Strings and Higher Spins | 36 pages, LaTeX, one eps figure. Misprints corrected. Version to be
reprinted in a special J. Phys. A issue devoted to Higher--Spin Theory, eds.
M. Gaberdiel and M.A. Vasiliev | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | These notes are devoted to the intriguing and still largely unexplored links
between String Theory and Higher Spins, the types of excitations that lie
behind its most cherished properties. A closer look at higher-spin fields
provides some further clues that String Theory describes a broken phase of a
Higher-Spin Gauge Theory. Conversely, string amplitudes contain a wealth of
information on higher-spin interactions that can clarify long-standing issues
related to their infrared behavior.
| [
{
"created": "Mon, 19 Dec 2011 10:10:07 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Dec 2011 06:19:07 GMT",
"version": "v2"
},
{
"created": "Mon, 13 Feb 2012 12:14:03 GMT",
"version": "v3"
},
{
"created": "Thu, 21 Jun 2012 12:30:23 GMT",
"version": "v4"
}
] | 2015-03-13 | [
[
"Sagnotti",
"A.",
"",
"Scuola Normale Superiore and INFN - Pisa"
]
] | These notes are devoted to the intriguing and still largely unexplored links between String Theory and Higher Spins, the types of excitations that lie behind its most cherished properties. A closer look at higher-spin fields provides some further clues that String Theory describes a broken phase of a Higher-Spin Gauge Theory. Conversely, string amplitudes contain a wealth of information on higher-spin interactions that can clarify long-standing issues related to their infrared behavior. |
1008.1305 | Kurt Hinterbichler | Kurt Hinterbichler, Mark Trodden, Daniel Wesley | Multi-field galileons and higher co-dimension branes | 34 pages, 2 figures. v2 typos corrected, comments added, version
appearing in PRD | Phys.Rev.D82:124018,2010 | 10.1103/PhysRevD.82.124018 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the decoupling limit, the DGP model reduces to the theory of a scalar
field pi, with interactions including a specific cubic self-interaction - the
galileon term. This term, and its quartic and quintic generalizations, can be
thought of as arising from a probe 3-brane in a 5-dimensional bulk with
Lovelock terms on the brane and in the bulk. We study multi-field
generalizations of the galileon, and extend this probe brane view to higher
co-dimensions. We derive an extremely restrictive theory of multiple galileon
fields, interacting through a quartic term controlled by a single coupling, and
trace its origin to the induced brane terms coming from Lovelock invariants in
the higher co-dimension bulk. We explore some properties of this theory,
finding de Sitter like self accelerating solutions. These solutions have ghosts
if and only if the flat space theory does not have ghosts. Finally, we prove a
general non-renormalization theorem: multi-field galileons are not renormalized
quantum mechanically to any loop in perturbation theory.
| [
{
"created": "Sat, 7 Aug 2010 05:13:56 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Feb 2011 01:56:30 GMT",
"version": "v2"
}
] | 2011-02-09 | [
[
"Hinterbichler",
"Kurt",
""
],
[
"Trodden",
"Mark",
""
],
[
"Wesley",
"Daniel",
""
]
] | In the decoupling limit, the DGP model reduces to the theory of a scalar field pi, with interactions including a specific cubic self-interaction - the galileon term. This term, and its quartic and quintic generalizations, can be thought of as arising from a probe 3-brane in a 5-dimensional bulk with Lovelock terms on the brane and in the bulk. We study multi-field generalizations of the galileon, and extend this probe brane view to higher co-dimensions. We derive an extremely restrictive theory of multiple galileon fields, interacting through a quartic term controlled by a single coupling, and trace its origin to the induced brane terms coming from Lovelock invariants in the higher co-dimension bulk. We explore some properties of this theory, finding de Sitter like self accelerating solutions. These solutions have ghosts if and only if the flat space theory does not have ghosts. Finally, we prove a general non-renormalization theorem: multi-field galileons are not renormalized quantum mechanically to any loop in perturbation theory. |
1809.04793 | Felipe Rosso | Felipe Rosso | Holography of negative energy states | 7 pages | Phys. Rev. D 99, 026002 (2019) | 10.1103/PhysRevD.99.026002 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Quantum states with negative energy densities have been long known to exist
in quantum field theories. We explore the structure of such states for
holographic theories using quantum information theory tools and show how
certain negative energy states are naturally captured by the thermodynamics of
black holes with hyperbolic horizon at zero temperature, suggesting that they
provide a dual description of those states. Our results give a satisfying field
theory understanding of the distinct thermodynamics of such black holes.
| [
{
"created": "Thu, 13 Sep 2018 06:34:00 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Jan 2019 02:49:53 GMT",
"version": "v2"
}
] | 2019-01-09 | [
[
"Rosso",
"Felipe",
""
]
] | Quantum states with negative energy densities have been long known to exist in quantum field theories. We explore the structure of such states for holographic theories using quantum information theory tools and show how certain negative energy states are naturally captured by the thermodynamics of black holes with hyperbolic horizon at zero temperature, suggesting that they provide a dual description of those states. Our results give a satisfying field theory understanding of the distinct thermodynamics of such black holes. |
hep-th/0609075 | Amos Yarom | Ram Brustein, Martin B. Einhorn and Amos Yarom | Entanglement and Nonunitary Evolution | 14 pages, 1 figure; Added a clarification regarding the relation with
black hole physics | JHEP 0704:086,2007 | 10.1088/1126-6708/2007/04/086 | MCTP-06-22, NSF-KITP-06-67, LMU-ASC 59/06 | hep-th cond-mat.stat-mech gr-qc quant-ph | null | We consider a collapsing relativistic spherical shell for a free quantum
field. Once the center of the wavefunction of the shell passes a certain radius
R, the degrees of freedom inside R are traced over. We show that an observer
outside this region will determine that the evolution of the system is
nonunitary. We argue that this phenomenon is generic to entangled systems, and
discuss a possible relation to black hole physics.
| [
{
"created": "Mon, 11 Sep 2006 19:38:18 GMT",
"version": "v1"
},
{
"created": "Sun, 29 Apr 2007 17:14:54 GMT",
"version": "v2"
}
] | 2010-10-27 | [
[
"Brustein",
"Ram",
""
],
[
"Einhorn",
"Martin B.",
""
],
[
"Yarom",
"Amos",
""
]
] | We consider a collapsing relativistic spherical shell for a free quantum field. Once the center of the wavefunction of the shell passes a certain radius R, the degrees of freedom inside R are traced over. We show that an observer outside this region will determine that the evolution of the system is nonunitary. We argue that this phenomenon is generic to entangled systems, and discuss a possible relation to black hole physics. |
hep-th/0110104 | Stefano Arnone | S. Arnone, D. Francia and K. Yoshida | Exact renormalization group equation in presence of rescaling anomaly II
- The local potential approximation | 13 pages, no figures, uses JHEP3.cls | Mod.Phys.Lett.A17:1191,2002 | 10.1142/S021773230200720X | SHEP 01-28 | hep-th | null | Exact renormalization group techniques are applied to mass deformed N=4
supersymmetric Yang-Mills theory, viewed as a regularised N=2 model. The
solution of the flow equation, in the local potential approximation, reproduces
the one-loop (perturbatively exact) expression for the effective action of N=2
supersymmetric Yang-Mills theory, when the regularising mass, M, reaches the
value of the dynamical cutoff. One speculates about the way in which further
non-perturbative contributions (instanton effects) may be accounted for.
| [
{
"created": "Thu, 11 Oct 2001 14:12:03 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Arnone",
"S.",
""
],
[
"Francia",
"D.",
""
],
[
"Yoshida",
"K.",
""
]
] | Exact renormalization group techniques are applied to mass deformed N=4 supersymmetric Yang-Mills theory, viewed as a regularised N=2 model. The solution of the flow equation, in the local potential approximation, reproduces the one-loop (perturbatively exact) expression for the effective action of N=2 supersymmetric Yang-Mills theory, when the regularising mass, M, reaches the value of the dynamical cutoff. One speculates about the way in which further non-perturbative contributions (instanton effects) may be accounted for. |
2107.00091 | Fridrich Valach | Mark Bugden, Ondrej Hulik, Fridrich Valach, Daniel Waldram | Exceptional algebroids and type IIB superstrings | 12 pages | null | 10.1002/prop.202100104 | Imperial/TP/21/DW/3 | hep-th math-ph math.DG math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note we study exceptional algebroids, focusing on their relation to
type IIB superstring theory. We show that a IIB-exact exceptional algebroid
(corresponding to the group $E_{n(n)}\times \mathbb{R}^+$, for $n\le 6$)
locally has a standard form given by the exceptional tangent bundle. We derive
possible twists, given by a flat $\mathfrak{gl}(2,\mathbb{R})$-connection, a
covariantly closed pair of 3-forms, and a 5-form, and comment on their physical
interpretation. Using this analysis we reduce the search for Leibniz
parallelisable spaces, and hence maximally supersymmetric consistent
truncations, to a simple algebraic problem. We show that the exceptional
algebroid perspective also gives a simple description of Poisson-Lie U-duality
without spectators and hence of generalised Yang-Baxter deformations.
| [
{
"created": "Wed, 30 Jun 2021 20:43:05 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Feb 2022 12:41:03 GMT",
"version": "v2"
}
] | 2022-02-15 | [
[
"Bugden",
"Mark",
""
],
[
"Hulik",
"Ondrej",
""
],
[
"Valach",
"Fridrich",
""
],
[
"Waldram",
"Daniel",
""
]
] | In this note we study exceptional algebroids, focusing on their relation to type IIB superstring theory. We show that a IIB-exact exceptional algebroid (corresponding to the group $E_{n(n)}\times \mathbb{R}^+$, for $n\le 6$) locally has a standard form given by the exceptional tangent bundle. We derive possible twists, given by a flat $\mathfrak{gl}(2,\mathbb{R})$-connection, a covariantly closed pair of 3-forms, and a 5-form, and comment on their physical interpretation. Using this analysis we reduce the search for Leibniz parallelisable spaces, and hence maximally supersymmetric consistent truncations, to a simple algebraic problem. We show that the exceptional algebroid perspective also gives a simple description of Poisson-Lie U-duality without spectators and hence of generalised Yang-Baxter deformations. |
1212.3492 | Herbert Hamber | Herbert W. Hamber, Reiko Toriumi and Ruth M. Williams | Wheeler-DeWitt Equation in 3 + 1 Dimensions | 44 pages, 5 figures. arXiv admin note: text overlap with
arXiv:1207.3759 | null | 10.1103/PhysRevD.88.084012 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Physical properties of the quantum gravitational vacuum state are explored by
solving a lattice version of the Wheeler-DeWitt equation. The constraint of
diffeomorphism invariance is strong enough to uniquely determine the structure
of the vacuum wave functional in the limit of infinitely fine triangulations of
the three-sphere. In the large fluctuation regime the nature of the wave
function solution is such that a physically acceptable ground state emerges,
with a finite non-perturbative correlation length naturally cutting off any
infrared divergences. The location of the critical point in Newton's constant
$G_c$, separating the weak from the strong coupling phase, is obtained, and it
is inferred from the structure of the wave functional that fluctuations in the
curvatures become unbounded at this point. Investigations of the vacuum wave
functional further suggest that for weak enough coupling, $G<G_c$, a
pathological ground state with no continuum limit appears, where configurations
with small curvature have vanishingly small probability. One is then lead to
the conclusion that the weak coupling, perturbative ground state of quantum
gravity is non-perturbatively unstable, and that gravitational screening cannot
be physically realized in the lattice theory. The results we find are in
general agreement with the Euclidean lattice gravity results, and lend further
support to the claim that the Lorentzian and Euclidean lattice formulations for
gravity describe the same underlying non-perturbative physics.
| [
{
"created": "Fri, 14 Dec 2012 14:51:15 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Jan 2013 13:27:40 GMT",
"version": "v2"
},
{
"created": "Fri, 12 Jul 2013 18:01:00 GMT",
"version": "v3"
}
] | 2015-06-12 | [
[
"Hamber",
"Herbert W.",
""
],
[
"Toriumi",
"Reiko",
""
],
[
"Williams",
"Ruth M.",
""
]
] | Physical properties of the quantum gravitational vacuum state are explored by solving a lattice version of the Wheeler-DeWitt equation. The constraint of diffeomorphism invariance is strong enough to uniquely determine the structure of the vacuum wave functional in the limit of infinitely fine triangulations of the three-sphere. In the large fluctuation regime the nature of the wave function solution is such that a physically acceptable ground state emerges, with a finite non-perturbative correlation length naturally cutting off any infrared divergences. The location of the critical point in Newton's constant $G_c$, separating the weak from the strong coupling phase, is obtained, and it is inferred from the structure of the wave functional that fluctuations in the curvatures become unbounded at this point. Investigations of the vacuum wave functional further suggest that for weak enough coupling, $G<G_c$, a pathological ground state with no continuum limit appears, where configurations with small curvature have vanishingly small probability. One is then lead to the conclusion that the weak coupling, perturbative ground state of quantum gravity is non-perturbatively unstable, and that gravitational screening cannot be physically realized in the lattice theory. The results we find are in general agreement with the Euclidean lattice gravity results, and lend further support to the claim that the Lorentzian and Euclidean lattice formulations for gravity describe the same underlying non-perturbative physics. |
hep-th/0504086 | Karel Van Acoleyen | Ignacio Navarro and Karel Van Acoleyen | Compactifications of conformal gravity | 13 pages | JHEP 0508 (2005) 019 | 10.1088/1126-6708/2005/08/019 | IPPP/05/08, DCPT/05/16 | hep-th gr-qc | null | We study conformal theories of gravity, i.e. those whose action is invariant
under the local transformation g_{\mu\nu} -> \omega^2 (x) g_{\mu\nu}. As is
well known, in order to obtain Einstein gravity in 4D it is necessary to
introduce a scalar compensator with a VEV that spontaneously breaks the
conformal invariance and generates the Planck mass. We show that the
compactification of extra dimensions in a higher dimensional conformal theory
of gravity also yields Einstein gravity in lower dimensions, without the need
to introduce the scalar compensator. It is the field associated with the size
of the extra dimensions (the radion) who takes the role of the scalar
compensator in 4D. The radion has in this case no physical excitations since
they are gauged away in the Einstein frame for the metric. In these models the
stabilization of the size of the extra dimensions is therefore automatic.
| [
{
"created": "Mon, 11 Apr 2005 16:22:19 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Navarro",
"Ignacio",
""
],
[
"Van Acoleyen",
"Karel",
""
]
] | We study conformal theories of gravity, i.e. those whose action is invariant under the local transformation g_{\mu\nu} -> \omega^2 (x) g_{\mu\nu}. As is well known, in order to obtain Einstein gravity in 4D it is necessary to introduce a scalar compensator with a VEV that spontaneously breaks the conformal invariance and generates the Planck mass. We show that the compactification of extra dimensions in a higher dimensional conformal theory of gravity also yields Einstein gravity in lower dimensions, without the need to introduce the scalar compensator. It is the field associated with the size of the extra dimensions (the radion) who takes the role of the scalar compensator in 4D. The radion has in this case no physical excitations since they are gauged away in the Einstein frame for the metric. In these models the stabilization of the size of the extra dimensions is therefore automatic. |
hep-th/9503036 | Jae-suk Park | Seungjoon Hyun and Jae-Suk Park | Holomorphic Yang-Mills Theory and Variation of the Donaldson Invariants | 46 pages, 1 Postscript figure, uses harvmac with epsf (references are
added, Report number is corrected.) | null | null | YUMS-94-23 and SWAT/65 | hep-th alg-geom math.AG | null | We study the path integrals of the holomorphic Yang-Mills theory on compact
K\"{a}hler surface with $b_2^+ = 1$. Based on the results, we examine the
correlation functions of the topological Yang-Mills theory and the
corresponding Donaldson invariants as well as their transition formulas.
| [
{
"created": "Tue, 7 Mar 1995 03:22:11 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Mar 1995 10:59:15 GMT",
"version": "v2"
}
] | 2016-09-06 | [
[
"Hyun",
"Seungjoon",
""
],
[
"Park",
"Jae-Suk",
""
]
] | We study the path integrals of the holomorphic Yang-Mills theory on compact K\"{a}hler surface with $b_2^+ = 1$. Based on the results, we examine the correlation functions of the topological Yang-Mills theory and the corresponding Donaldson invariants as well as their transition formulas. |
1310.5563 | Stuart Dowker | J.S. Dowker | Spherical Dirac GJMS operator determinants | 21 pages 5 figures. Section on an alternative calculational technique
for odd dimensions added. This version submitted for publication | null | null | null | hep-th gr-qc math-ph math.DG math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Motivated by AdS/CFT, the extension is made to spin-half of a scalar
calculation of the conformal anomalies and functional determinants of GJMS
operators. The formal aspects are heuristic but sufficient. A Barnes zeta
function representation again proves effective. The determinants are calculated
for the two factorisations of the gamma-function (intertwiner) form of the GJMS
operator, and shown to be equal, even including the multiplicative anomaly. A
comment is made on the general eigenvalue problem and a few numerical results
are presented. An alternative approach is detailed for odd dimensions and it is
shown that the scalar determinants are expressed in terms of the spinor ones,
and vice versa. An explicit, general form is given.
| [
{
"created": "Mon, 21 Oct 2013 14:28:55 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Jul 2014 09:18:40 GMT",
"version": "v2"
}
] | 2014-07-17 | [
[
"Dowker",
"J. S.",
""
]
] | Motivated by AdS/CFT, the extension is made to spin-half of a scalar calculation of the conformal anomalies and functional determinants of GJMS operators. The formal aspects are heuristic but sufficient. A Barnes zeta function representation again proves effective. The determinants are calculated for the two factorisations of the gamma-function (intertwiner) form of the GJMS operator, and shown to be equal, even including the multiplicative anomaly. A comment is made on the general eigenvalue problem and a few numerical results are presented. An alternative approach is detailed for odd dimensions and it is shown that the scalar determinants are expressed in terms of the spinor ones, and vice versa. An explicit, general form is given. |
1911.07978 | Karl Landsteiner | Karl Landsteiner, Yan Liu and Ya-Wen Sun | Holographic Topological Semimetals | Review, 53 pages, 20 figures | null | null | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The holographic duality allows to construct and study models of strongly
coupled quantum matter via dual gravitational theories. In general such models
are characterized by the absence of quasiparticles, hydrodynamic behavior and
Planckian dissipation times. One particular interesting class of quantum
materials are ungapped topological semimetals which have many interesting
properties from Hall transport to topologically protected edge states. We
review the application of the holographic duality to this type of quantum
matter including the construction of holographic Weyl semimetals, nodal line
semimetals, quantum phase transition to trivial states (ungapped and gapped),
the holographic dual of Fermi arcs and how new unexpected transport properties,
such as Hall viscosities arise. The holographic models promise to lead to new
insights into the properties of this type of quantum matter.
| [
{
"created": "Mon, 18 Nov 2019 22:01:18 GMT",
"version": "v1"
}
] | 2019-11-20 | [
[
"Landsteiner",
"Karl",
""
],
[
"Liu",
"Yan",
""
],
[
"Sun",
"Ya-Wen",
""
]
] | The holographic duality allows to construct and study models of strongly coupled quantum matter via dual gravitational theories. In general such models are characterized by the absence of quasiparticles, hydrodynamic behavior and Planckian dissipation times. One particular interesting class of quantum materials are ungapped topological semimetals which have many interesting properties from Hall transport to topologically protected edge states. We review the application of the holographic duality to this type of quantum matter including the construction of holographic Weyl semimetals, nodal line semimetals, quantum phase transition to trivial states (ungapped and gapped), the holographic dual of Fermi arcs and how new unexpected transport properties, such as Hall viscosities arise. The holographic models promise to lead to new insights into the properties of this type of quantum matter. |
hep-th/0611306 | Peter Forgacs | Bruno Boisseau, Peter Forgacs and Hector Giacomini | An analytical approximation scheme to two point boundary value problems
of ordinary differential equations | 5 pages, 3 tables, Latex | J.Phys.A40:F215-F222,2007 | 10.1088/1751-8113/40/9/F01 | null | hep-th | null | A new (algebraic) approximation scheme to find {\sl global} solutions of two
point boundary value problems of ordinary differential equations (ODE's) is
presented. The method is applicable for both linear and nonlinear (coupled)
ODE's whose solutions are analytic near one of the boundary points. It is based
on replacing the original ODE's by a sequence of auxiliary first order
polynomial ODE's with constant coefficients. The coefficients in the auxiliary
ODE's are uniquely determined from the local behaviour of the solution in the
neighbourhood of one of the boundary points. To obtain the parameters of the
global (connecting) solutions analytic at one of the boundary points, reduces
to find the appropriate zeros of algebraic equations. The power of the method
is illustrated by computing the approximate values of the ``connecting
parameters'' for a number of nonlinear ODE's arising in various problems in
field theory. We treat in particular the static and rotationally symmetric
global vortex, the skyrmion, the Nielsen-Olesen vortex, as well as the 't
Hooft-Polyakov magnetic monopole. The total energy of the skyrmion and of the
monopole is also computed by the new method. We also consider some ODE's coming
from the exact renormalization group. The ground state energy level of the
anharmonic oscillator is also computed for arbitrary coupling strengths with
good precision.
| [
{
"created": "Tue, 28 Nov 2006 15:01:38 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Boisseau",
"Bruno",
""
],
[
"Forgacs",
"Peter",
""
],
[
"Giacomini",
"Hector",
""
]
] | A new (algebraic) approximation scheme to find {\sl global} solutions of two point boundary value problems of ordinary differential equations (ODE's) is presented. The method is applicable for both linear and nonlinear (coupled) ODE's whose solutions are analytic near one of the boundary points. It is based on replacing the original ODE's by a sequence of auxiliary first order polynomial ODE's with constant coefficients. The coefficients in the auxiliary ODE's are uniquely determined from the local behaviour of the solution in the neighbourhood of one of the boundary points. To obtain the parameters of the global (connecting) solutions analytic at one of the boundary points, reduces to find the appropriate zeros of algebraic equations. The power of the method is illustrated by computing the approximate values of the ``connecting parameters'' for a number of nonlinear ODE's arising in various problems in field theory. We treat in particular the static and rotationally symmetric global vortex, the skyrmion, the Nielsen-Olesen vortex, as well as the 't Hooft-Polyakov magnetic monopole. The total energy of the skyrmion and of the monopole is also computed by the new method. We also consider some ODE's coming from the exact renormalization group. The ground state energy level of the anharmonic oscillator is also computed for arbitrary coupling strengths with good precision. |
2110.13393 | Chanju Kim | O-Kab Kwon, Chanju Kim and Yoonbai Kim | Supersymmetric Inhomogeneous Field Theories in 1+1 Dimensions | 29 pages, 5 figures, minor corrections, version published in JHEP | null | 10.1007/JHEP01(2022)140 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study supersymmetric inhomogeneous field theories in 1+1 dimensions which
have explicit coordinate dependence. Although translation symmetry is broken,
part of supersymmetries can be maintained. In this paper, we consider the
simplest inhomogeneous theories with one real scalar field, which possess an
unbroken supersymmetry. The energy is bounded from below by the topological
charge which is not necessarily nonnegative definite. The bound is saturated if
the first-order Bogomolny equation is satisfied. Non-constant static
supersymmetric solutions above the vacuum involve in general a zero mode
although the system lacks translation invariance. We consider two inhomogeneous
theories obtained by deforming supersymmetric sine-Gordon theory and $\phi^6$
theory. They are deformed either by overall inhomogeneous rescaling of the
superpotential or by inhomogeneous deformation of the vacuum expectation value.
We construct explicitly the most general supersymmetric solutions and obtain
the BPS energy spectrum for arbitrary position-dependent deformations. Nature
of the solutions and their energies depend only on the boundary values of the
inhomogeneous functions. The vacuum of minimum energy is not necessarily a
constant configuration. In some cases, we find a one-parameter family of
degenerate solutions which include a non-vacuum constant solution as a special
case.
| [
{
"created": "Tue, 26 Oct 2021 03:46:54 GMT",
"version": "v1"
},
{
"created": "Sun, 28 Nov 2021 16:34:47 GMT",
"version": "v2"
},
{
"created": "Wed, 26 Jan 2022 08:29:14 GMT",
"version": "v3"
}
] | 2022-02-09 | [
[
"Kwon",
"O-Kab",
""
],
[
"Kim",
"Chanju",
""
],
[
"Kim",
"Yoonbai",
""
]
] | We study supersymmetric inhomogeneous field theories in 1+1 dimensions which have explicit coordinate dependence. Although translation symmetry is broken, part of supersymmetries can be maintained. In this paper, we consider the simplest inhomogeneous theories with one real scalar field, which possess an unbroken supersymmetry. The energy is bounded from below by the topological charge which is not necessarily nonnegative definite. The bound is saturated if the first-order Bogomolny equation is satisfied. Non-constant static supersymmetric solutions above the vacuum involve in general a zero mode although the system lacks translation invariance. We consider two inhomogeneous theories obtained by deforming supersymmetric sine-Gordon theory and $\phi^6$ theory. They are deformed either by overall inhomogeneous rescaling of the superpotential or by inhomogeneous deformation of the vacuum expectation value. We construct explicitly the most general supersymmetric solutions and obtain the BPS energy spectrum for arbitrary position-dependent deformations. Nature of the solutions and their energies depend only on the boundary values of the inhomogeneous functions. The vacuum of minimum energy is not necessarily a constant configuration. In some cases, we find a one-parameter family of degenerate solutions which include a non-vacuum constant solution as a special case. |
1112.3350 | J\'er\^ome Gaillard | Eduardo Conde, Jerome Gaillard, Carlos Nunez, Maurizio Piai and
Alfonso V. Ramallo | A tale of two cascades: Higgsing and Seiberg-duality cascades from type
IIB string theory | 34 pages plus appendices. Typos corrected and references added,
version to appear in JHEP | null | 10.1007/JHEP02(2012)145 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct explicitly new solutions of type IIB supergravity with brane
sources, the duals of which are N = 1 supersymmetric field theories exhibiting
two very interesting phenomena. The far UV dynamics is controlled by a cascade
of Seiberg dualities analogous to the Klebanov- Strassler backgrounds. At
intermediate scales a cascade of Higgsing appears, in the sense that the gauge
group undergoes a sequence of spontaneous symmetry breaking steps which reduces
its rank. Deep in the IR, the theory confines, and the gravity background has a
non-singular end of space. We explain in detail how to generate such solutions,
discuss some of the Physics associated with them and briefly comment on the
possible applications.
| [
{
"created": "Wed, 14 Dec 2011 21:00:05 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Feb 2012 17:56:57 GMT",
"version": "v2"
}
] | 2015-06-03 | [
[
"Conde",
"Eduardo",
""
],
[
"Gaillard",
"Jerome",
""
],
[
"Nunez",
"Carlos",
""
],
[
"Piai",
"Maurizio",
""
],
[
"Ramallo",
"Alfonso V.",
""
]
] | We construct explicitly new solutions of type IIB supergravity with brane sources, the duals of which are N = 1 supersymmetric field theories exhibiting two very interesting phenomena. The far UV dynamics is controlled by a cascade of Seiberg dualities analogous to the Klebanov- Strassler backgrounds. At intermediate scales a cascade of Higgsing appears, in the sense that the gauge group undergoes a sequence of spontaneous symmetry breaking steps which reduces its rank. Deep in the IR, the theory confines, and the gravity background has a non-singular end of space. We explain in detail how to generate such solutions, discuss some of the Physics associated with them and briefly comment on the possible applications. |
1806.00107 | Dimitrios Krommydas M.Sc. | Dimitrios Krommydas | Violations of the Null Energy Condition in QFT and their Implications | 58 pages, 10 figures, Master's Thesis | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study violations of the Null Energy Condition (NEC) in Quantum Field
Theory (QFT) and their implications. For the first part of the project, we
examine these violations for classes of already known and novel (first
discussed here) QFT states. Next, we discuss the implications of these
violations focusing on the example of Wormhole Traversability. After reviewing
the current literature on the existing restrictions on these violations, we
conjecture that NEC violating states are incompatible with the Semi-Classical
Gravity approximation. We argue that this conjecture provides the only way out
of the problems introduced by the violations of NEC in this regime. Building on
this, we propose a bound that should hold for all QFT states. Finally, we show
that both our conjecture and bound hold for some relevant classes of QFT
states.
| [
{
"created": "Thu, 31 May 2018 21:44:35 GMT",
"version": "v1"
}
] | 2018-06-04 | [
[
"Krommydas",
"Dimitrios",
""
]
] | We study violations of the Null Energy Condition (NEC) in Quantum Field Theory (QFT) and their implications. For the first part of the project, we examine these violations for classes of already known and novel (first discussed here) QFT states. Next, we discuss the implications of these violations focusing on the example of Wormhole Traversability. After reviewing the current literature on the existing restrictions on these violations, we conjecture that NEC violating states are incompatible with the Semi-Classical Gravity approximation. We argue that this conjecture provides the only way out of the problems introduced by the violations of NEC in this regime. Building on this, we propose a bound that should hold for all QFT states. Finally, we show that both our conjecture and bound hold for some relevant classes of QFT states. |
hep-th/0401143 | Franco Strocchi | F. Strocchi | Relativistic Quantum Mechanics and Field Theory | 33 pages, Invited talk al the Conference "Present Problems of
Theoretical Physics", Vietri April 11-16 (2003) | Found.Phys. 34 (2004) 501-527 | 10.1023/B:FOOP.0000019625.30165.35 | null | hep-th | null | The problems which arise for a relativistic quantum mechanics are reviewed
and critically examined in connection with the foundations of quantum field
theory. The conflict between the quantum mechanical Hilbert space structure,
the locality property and the gauge invariance encoded in the Gauss' law is
discussed in connection with the various quantization choices for gauge fields
| [
{
"created": "Wed, 21 Jan 2004 14:54:14 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Strocchi",
"F.",
""
]
] | The problems which arise for a relativistic quantum mechanics are reviewed and critically examined in connection with the foundations of quantum field theory. The conflict between the quantum mechanical Hilbert space structure, the locality property and the gauge invariance encoded in the Gauss' law is discussed in connection with the various quantization choices for gauge fields |
1506.07356 | Dimitrios Tsimpis | Dani\"el Prins and Dimitrios Tsimpis | 3d N=1 effective supergravity and F-theory from M-theory on fourfolds | 37 pages. Published version, minor changes | null | 10.1007/JHEP09(2015)107 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider 3d N=1 M-theory compactifications on Calabi-Yau fourfolds, and
the effective 3d theory of light modes obtained by reduction from eleven
dimensions. We study in detail the mass spectrum at the vacuum and, by
decoupling the massive multiplets, we derive the effective 3d N=1 theory in the
large-volume limit up to quartic fermion terms. We show that in general it is
an ungauged N=1 supergravity of the form expected from 3d supersymmetry. In
particular the massless bosonic fields consist of the volume modulus and the
axions originating from the eleven-dimensional three-form, while the
moduli-space metric is locally isometric to hyperbolic space. We consider the
F-theory interpretation of the 3d N=1 M-theory vacua in the light of the
F-theory effective action approach. We show that these vacua generally have
F-theory duals with circle fluxes, thus breaking 4d Poincar\'e invariance.
| [
{
"created": "Wed, 24 Jun 2015 13:07:55 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Sep 2015 12:22:13 GMT",
"version": "v2"
}
] | 2015-10-28 | [
[
"Prins",
"Daniël",
""
],
[
"Tsimpis",
"Dimitrios",
""
]
] | We consider 3d N=1 M-theory compactifications on Calabi-Yau fourfolds, and the effective 3d theory of light modes obtained by reduction from eleven dimensions. We study in detail the mass spectrum at the vacuum and, by decoupling the massive multiplets, we derive the effective 3d N=1 theory in the large-volume limit up to quartic fermion terms. We show that in general it is an ungauged N=1 supergravity of the form expected from 3d supersymmetry. In particular the massless bosonic fields consist of the volume modulus and the axions originating from the eleven-dimensional three-form, while the moduli-space metric is locally isometric to hyperbolic space. We consider the F-theory interpretation of the 3d N=1 M-theory vacua in the light of the F-theory effective action approach. We show that these vacua generally have F-theory duals with circle fluxes, thus breaking 4d Poincar\'e invariance. |
0709.2440 | Christopher Pope | G. W. Gibbons and C. N. Pope | Time-Dependent Multi-Centre Solutions from New Metrics with Holonomy
Sim(n-2) | Typos corrected; 29 pages | Class.Quant.Grav.25:125015,2008 | 10.1088/0264-9381/25/12/125015 | DAMTP-2007-88, MIFP-07-24 | hep-th gr-qc math.DG | null | The classifications of holonomy groups in Lorentzian and in Euclidean
signature are quite different. A group of interest in Lorentzian signature in n
dimensions is the maximal proper subgroup of the Lorentz group, SIM(n-2).
Ricci-flat metrics with SIM(2) holonomy were constructed by Kerr and Goldberg,
and a single four-dimensional example with a non-zero cosmological constant was
exhibited by Ghanam and Thompson. Here we reduce the problem of finding the
general $n$-dimensional Einstein metric of SIM(n-2) holonomy, with and without
a cosmological constant, to solving a set linear generalised Laplace and
Poisson equations on an (n-2)-dimensional Einstein base manifold. Explicit
examples may be constructed in terms of generalised harmonic functions. A
dimensional reduction of these multi-centre solutions gives new time-dependent
Kaluza-Klein black holes and monopoles, including time-dependent black holes in
a cosmological background whose spatial sections have non-vanishing curvature.
| [
{
"created": "Sat, 15 Sep 2007 18:51:24 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Feb 2008 22:05:52 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Gibbons",
"G. W.",
""
],
[
"Pope",
"C. N.",
""
]
] | The classifications of holonomy groups in Lorentzian and in Euclidean signature are quite different. A group of interest in Lorentzian signature in n dimensions is the maximal proper subgroup of the Lorentz group, SIM(n-2). Ricci-flat metrics with SIM(2) holonomy were constructed by Kerr and Goldberg, and a single four-dimensional example with a non-zero cosmological constant was exhibited by Ghanam and Thompson. Here we reduce the problem of finding the general $n$-dimensional Einstein metric of SIM(n-2) holonomy, with and without a cosmological constant, to solving a set linear generalised Laplace and Poisson equations on an (n-2)-dimensional Einstein base manifold. Explicit examples may be constructed in terms of generalised harmonic functions. A dimensional reduction of these multi-centre solutions gives new time-dependent Kaluza-Klein black holes and monopoles, including time-dependent black holes in a cosmological background whose spatial sections have non-vanishing curvature. |
hep-th/9710149 | Yan Vtorov-Karevsky | Zurab Kakushadze, Gary Shiu, S.-H. Henry Tye and Yan Vtorov-Karevsky | A Review of Three-Family Grand Unified String Models | 49 pages, Revtex 3.0; one ps figure included. To appear in the Review
section of Int.J.Mod.Phys | Int.J.Mod.Phys. A13 (1998) 2551-2598 | 10.1142/S0217751X98001323 | null | hep-th hep-ph | null | We review the construction and classification of three-family grand unified
models within the framework of asymmetric orbifolds in perturbative heterotic
superstring. We give a detailed survey of all such models which is organized to
aid analysis of their phenomenological properties. We compute tree-level
superpotentials for these models. These superpotentials are used to analyze the
issues of proton stability (doublet-triplet splitting and R-parity violating
terms) and Yukawa mass matrices. To have agreement with phenomenological data
all these models seem to require certain degree of fine-tuning. We also analyze
the possible patterns of supersymmetry breaking in these models.
We find that the supersymmetry breaking scale comes out either too high to
explain the electroweak hierarchy problem, or below the electroweak scale
unless some degree of fine-tuning is involved. Thus, none of the models at hand
seem to be phenomenologically flawless.
| [
{
"created": "Sun, 19 Oct 1997 19:46:21 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Kakushadze",
"Zurab",
""
],
[
"Shiu",
"Gary",
""
],
[
"Tye",
"S. -H. Henry",
""
],
[
"Vtorov-Karevsky",
"Yan",
""
]
] | We review the construction and classification of three-family grand unified models within the framework of asymmetric orbifolds in perturbative heterotic superstring. We give a detailed survey of all such models which is organized to aid analysis of their phenomenological properties. We compute tree-level superpotentials for these models. These superpotentials are used to analyze the issues of proton stability (doublet-triplet splitting and R-parity violating terms) and Yukawa mass matrices. To have agreement with phenomenological data all these models seem to require certain degree of fine-tuning. We also analyze the possible patterns of supersymmetry breaking in these models. We find that the supersymmetry breaking scale comes out either too high to explain the electroweak hierarchy problem, or below the electroweak scale unless some degree of fine-tuning is involved. Thus, none of the models at hand seem to be phenomenologically flawless. |
2107.08009 | Fei Teng | Alex Edison, Max Guillen, Henrik Johansson, Oliver Schlotterer and Fei
Teng | One-loop matrix elements of effective superstring interactions:
$\alpha'$-expanding loop integrands | 71 pages plus appendices and ancillary files; v2: matching published
version; v3: Minor corrections in (4.29), (4.49), (4.50), (7.3) and (C.3) | null | 10.1007/JHEP12(2021)007 | UUITP--31/21, NORDITA 2021-065 | hep-th | http://creativecommons.org/licenses/by/4.0/ | In the low-energy effective action of string theories, non-abelian gauge
interactions and supergravity are augmented by infinite towers of
higher-mass-dimension operators. We propose a new method to construct one-loop
matrix elements with insertions of operators $D^{2k} F^n$ and $D^{2k} R^n$ in
the tree-level effective action of type-I and type-II superstrings. Inspired by
ambitwistor string theories, our method is based on forward limits of
moduli-space integrals using string tree-level amplitudes with two extra
points, expanded in powers of the inverse string tension $\alpha'$. Similar to
one-loop ambitwistor computations, intermediate steps feature non-standard
linearized Feynman propagators which eventually recombine to conventional
quadratic propagators. With linearized propagators the loop integrand of the
matrix elements obey one-loop versions of the monodromy and KLT relations. We
express a variety of four- and five-point examples in terms of quadratic
propagators and formulate a criterion on the underlying genus-one correlation
functions that should make this recombination possible at all orders in
$\alpha'$. The ultraviolet divergences of the one-loop matrix elements are
crosschecked against the non-separating degeneration of genus-one integrals in
string amplitudes. Conversely, our results can be used as a constructive method
to determine degenerations of elliptic multiple zeta values and modular graph
forms at arbitrary weight.
| [
{
"created": "Fri, 16 Jul 2021 16:54:16 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Dec 2021 17:30:57 GMT",
"version": "v2"
},
{
"created": "Tue, 2 Aug 2022 04:02:26 GMT",
"version": "v3"
}
] | 2022-08-03 | [
[
"Edison",
"Alex",
""
],
[
"Guillen",
"Max",
""
],
[
"Johansson",
"Henrik",
""
],
[
"Schlotterer",
"Oliver",
""
],
[
"Teng",
"Fei",
""
]
] | In the low-energy effective action of string theories, non-abelian gauge interactions and supergravity are augmented by infinite towers of higher-mass-dimension operators. We propose a new method to construct one-loop matrix elements with insertions of operators $D^{2k} F^n$ and $D^{2k} R^n$ in the tree-level effective action of type-I and type-II superstrings. Inspired by ambitwistor string theories, our method is based on forward limits of moduli-space integrals using string tree-level amplitudes with two extra points, expanded in powers of the inverse string tension $\alpha'$. Similar to one-loop ambitwistor computations, intermediate steps feature non-standard linearized Feynman propagators which eventually recombine to conventional quadratic propagators. With linearized propagators the loop integrand of the matrix elements obey one-loop versions of the monodromy and KLT relations. We express a variety of four- and five-point examples in terms of quadratic propagators and formulate a criterion on the underlying genus-one correlation functions that should make this recombination possible at all orders in $\alpha'$. The ultraviolet divergences of the one-loop matrix elements are crosschecked against the non-separating degeneration of genus-one integrals in string amplitudes. Conversely, our results can be used as a constructive method to determine degenerations of elliptic multiple zeta values and modular graph forms at arbitrary weight. |
2309.00607 | Guglielmo Lockhart | Michele Del Zotto and Guglielmo Lockhart | The ALE Partition Functions of M-Strings | 44 pages; v3: references added | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the equivariant partition function of the six-dimensional M-string
SCFTs on a background with the topology of a product of a two-dimensional torus
and an ALE singularity. We determine the result by exploiting BPS strings
probing the singularity, whose worldvolume theories we determine via a chain of
string dualities. A distinguished feature we observe is that for this class of
background the BPS strings' worldsheet theories become relative field theories
that are sensitive to finer discrete data generalizing to 6d the familiar
choices of flat connections at infinity for instantons on ALE spaces. We test
our proposal against a conjectural 6d N = (1,0) generalization of the Nekrasov
master formula, as well as against known results on ALE partition functions in
four dimensions.
| [
{
"created": "Fri, 1 Sep 2023 17:52:50 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Nov 2023 19:00:20 GMT",
"version": "v2"
},
{
"created": "Mon, 19 Feb 2024 20:30:33 GMT",
"version": "v3"
}
] | 2024-02-21 | [
[
"Del Zotto",
"Michele",
""
],
[
"Lockhart",
"Guglielmo",
""
]
] | We compute the equivariant partition function of the six-dimensional M-string SCFTs on a background with the topology of a product of a two-dimensional torus and an ALE singularity. We determine the result by exploiting BPS strings probing the singularity, whose worldvolume theories we determine via a chain of string dualities. A distinguished feature we observe is that for this class of background the BPS strings' worldsheet theories become relative field theories that are sensitive to finer discrete data generalizing to 6d the familiar choices of flat connections at infinity for instantons on ALE spaces. We test our proposal against a conjectural 6d N = (1,0) generalization of the Nekrasov master formula, as well as against known results on ALE partition functions in four dimensions. |
2305.09814 | Filip Blaschke | Filip Blaschke, Ond\v{r}ej Nicolas Karp\'i\v{s}ek, Luk\'a\v{s} Rafaj | Mechanization of scalar field theory in (1+1)-dimensions: BPS mech-kinks
and their scattering | 18 pages, 18 figures | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We present an updated version of a general-purpose collective coordinate
model that aims to fully map out the dynamics of a single scalar field in
(1+1)-dimensions. This is achieved by a procedure that we call a
`mechanization': we reduce the infinite number of degrees of freedom down to a
finite and controllable number by chopping the field into flat segments
connected via joints. In this paper, we introduce two new ingredients to our
procedure. The first is a manifestly BPS mechanization in which BPS mech-kinks
saturate the same bound on energy as their field-theoretical progenitors. The
second is allowing the joints to `switch', leading to an extended concept of
the effective Lagrangian, through which we describe direct collisions of
mech-kinks and anti-kinks.
| [
{
"created": "Tue, 16 May 2023 21:38:06 GMT",
"version": "v1"
}
] | 2023-05-18 | [
[
"Blaschke",
"Filip",
""
],
[
"Karpíšek",
"Ondřej Nicolas",
""
],
[
"Rafaj",
"Lukáš",
""
]
] | We present an updated version of a general-purpose collective coordinate model that aims to fully map out the dynamics of a single scalar field in (1+1)-dimensions. This is achieved by a procedure that we call a `mechanization': we reduce the infinite number of degrees of freedom down to a finite and controllable number by chopping the field into flat segments connected via joints. In this paper, we introduce two new ingredients to our procedure. The first is a manifestly BPS mechanization in which BPS mech-kinks saturate the same bound on energy as their field-theoretical progenitors. The second is allowing the joints to `switch', leading to an extended concept of the effective Lagrangian, through which we describe direct collisions of mech-kinks and anti-kinks. |
1709.00008 | Slava Rychkov | Jiaxin Qiao, Slava Rychkov | A tauberian theorem for the conformal bootstrap | 36pp; v2: refs and comments added, misprints corrected | null | 10.1007/JHEP12(2017)119 | CERN TH/2017-176 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For expansions in one-dimensional conformal blocks, we provide a rigorous
link between the asymptotics of the spectral density of exchanged primaries and
the leading singularity in the crossed channel. Our result has a direct
application to systems of SL(2,R)-invariant correlators (also known as 1d
CFTs). It also puts on solid ground a part of the lightcone bootstrap analysis
of the spectrum of operators of high spin and bounded twist in CFTs in d>2. In
addition, a similar argument controls the spectral density asymptotics in large
N gauge theories.
| [
{
"created": "Thu, 31 Aug 2017 18:00:02 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Oct 2017 05:29:20 GMT",
"version": "v2"
}
] | 2018-01-17 | [
[
"Qiao",
"Jiaxin",
""
],
[
"Rychkov",
"Slava",
""
]
] | For expansions in one-dimensional conformal blocks, we provide a rigorous link between the asymptotics of the spectral density of exchanged primaries and the leading singularity in the crossed channel. Our result has a direct application to systems of SL(2,R)-invariant correlators (also known as 1d CFTs). It also puts on solid ground a part of the lightcone bootstrap analysis of the spectrum of operators of high spin and bounded twist in CFTs in d>2. In addition, a similar argument controls the spectral density asymptotics in large N gauge theories. |
1706.09013 | Francisco A. Brito | Adamu Issifu, Francisco A. Brito | The (de)-confinement transition in tachyonic matter at finite
temperature | 12 pages, 3 figures; version published in AHEP | Advances in High Energy Physics, vol. 2019, Article ID 9450367, 9
pages, 2019 | 10.1155/2019/9450367 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we present a QCD motivated model that mimics QCD theory. We
examine the characteristics of the gauge field coupled with the color
dielectric function ($G$) in the presence of temperature ($T$). The aim is to
achieve confinement at low temperatures $T<T_{c}$, ($T_{c}$, is the critical
temperature), similar to what occurs among quarks and gluons in hadrons at low
energies. Also, we investigate scalar glueballs and QCD string tension and
effect of temperature on them. To achieve this, we use the phenomenon of color
dielectric function in gauge fields in a slowly varying tachyon medium. This
method is suitable for analytically computing the resulting potential, glueball
masses and the string tension associated with the confinement at a finite
temperature. We demonstrate that the color dielectric function changes
Maxwell's equation as a function of the tachyon fields and induces the electric
field in a way that brings about confinement during the tachyon condensation
below the critical temperature.
| [
{
"created": "Tue, 27 Jun 2017 19:01:16 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Dec 2018 04:08:58 GMT",
"version": "v2"
},
{
"created": "Fri, 1 Mar 2019 12:24:25 GMT",
"version": "v3"
}
] | 2019-03-04 | [
[
"Issifu",
"Adamu",
""
],
[
"Brito",
"Francisco A.",
""
]
] | In this paper we present a QCD motivated model that mimics QCD theory. We examine the characteristics of the gauge field coupled with the color dielectric function ($G$) in the presence of temperature ($T$). The aim is to achieve confinement at low temperatures $T<T_{c}$, ($T_{c}$, is the critical temperature), similar to what occurs among quarks and gluons in hadrons at low energies. Also, we investigate scalar glueballs and QCD string tension and effect of temperature on them. To achieve this, we use the phenomenon of color dielectric function in gauge fields in a slowly varying tachyon medium. This method is suitable for analytically computing the resulting potential, glueball masses and the string tension associated with the confinement at a finite temperature. We demonstrate that the color dielectric function changes Maxwell's equation as a function of the tachyon fields and induces the electric field in a way that brings about confinement during the tachyon condensation below the critical temperature. |
1109.5290 | Amilcar Queiroz Mr | A. P. Balachandran, Amilcar R. de Queiroz | Quantum Gravity: Mixed States from Diffeomorphism Anomalies | 20 pages, 10 figures | null | 10.1007/JHEP11(2011)126 | null | hep-th gr-qc math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a previous paper, we discussed simple examples like particle on a circle
and molecules to argue that mixed states can arise from anomalous symmetries.
This idea was applied to the breakdown (anomaly) of color SU(3) in the presence
of non-abelian monopoles. Such mixed states create entropy as well.
In this article, we extend these ideas to the topological geons of Friedman
and Sorkin in quantum gravity. The "large diffeos" or mapping class groups can
become anomalous in their quantum theory as we show. One way to eliminate these
anomalies is to use mixed states, thereby creating entropy. These ideas may
have something to do with black hole entropy as we speculate.
| [
{
"created": "Sat, 24 Sep 2011 17:36:01 GMT",
"version": "v1"
}
] | 2015-05-30 | [
[
"Balachandran",
"A. P.",
""
],
[
"de Queiroz",
"Amilcar R.",
""
]
] | In a previous paper, we discussed simple examples like particle on a circle and molecules to argue that mixed states can arise from anomalous symmetries. This idea was applied to the breakdown (anomaly) of color SU(3) in the presence of non-abelian monopoles. Such mixed states create entropy as well. In this article, we extend these ideas to the topological geons of Friedman and Sorkin in quantum gravity. The "large diffeos" or mapping class groups can become anomalous in their quantum theory as we show. One way to eliminate these anomalies is to use mixed states, thereby creating entropy. These ideas may have something to do with black hole entropy as we speculate. |
1205.6873 | Shu Lin | Johanna Erdmenger and Shu Lin | Thermalization from gauge/gravity duality: Evolution of singularities in
unequal time correlators | 35 pages, 4 figures | null | 10.1007/JHEP10(2012)028 | MPP-2012-98 | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a gauge/gravity dual model of thermalization which consists of a
collapsing thin matter shell in asymptotically Anti-de Sitter space. A central
aspect of our model is to consider a shell moving at finite velocity as
determined by its equation of motion, rather than a quasi-static approximation
as considered previously in the literature. By applying a divergence matching
method, we obtain the evolution of singularities in the retarded unequal time
correlator $G^R(t,t')$, which probes different stages of the thermalization. We
find that the number of singularities decreases from a finite number to zero as
the gauge theory thermalizes. This may be interpreted as a sign of decoherence.
Moreover, in a second part of the paper, we show explicitly that the thermal
correlator is characterized by the existence of singularities in the complex
time plane. By studying a quasi-static state, we show the singularities at real
times originate from contributions of normal modes. We also investigate the
possibility of obtaining complex singularities from contributions of
quasi-normal modes.
| [
{
"created": "Thu, 31 May 2012 02:24:19 GMT",
"version": "v1"
}
] | 2015-06-05 | [
[
"Erdmenger",
"Johanna",
""
],
[
"Lin",
"Shu",
""
]
] | We consider a gauge/gravity dual model of thermalization which consists of a collapsing thin matter shell in asymptotically Anti-de Sitter space. A central aspect of our model is to consider a shell moving at finite velocity as determined by its equation of motion, rather than a quasi-static approximation as considered previously in the literature. By applying a divergence matching method, we obtain the evolution of singularities in the retarded unequal time correlator $G^R(t,t')$, which probes different stages of the thermalization. We find that the number of singularities decreases from a finite number to zero as the gauge theory thermalizes. This may be interpreted as a sign of decoherence. Moreover, in a second part of the paper, we show explicitly that the thermal correlator is characterized by the existence of singularities in the complex time plane. By studying a quasi-static state, we show the singularities at real times originate from contributions of normal modes. We also investigate the possibility of obtaining complex singularities from contributions of quasi-normal modes. |
1606.07051 | Francisco A. Brito | D. Bazeia, F.A. Brito, J.C. Mota-Silva | Kondo effect from a Lorentz-violating domain wall description of
superconductivity | Latex, 10 pages, 4 figures; version to appear in PLB | Phys. Lett. B 762 (2016) 327 | 10.1016/j.physletb.2016.09.043 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We extend recent results on domain wall description of superconductivity in
an Abelian Higgs model by introducing a particular Lorentz-violating term. The
temperature of the system is interpreted through the fact that the soliton
following accelerating orbits is a Rindler observer experiencing a thermal
bath. We show that this term can be associated with the {\sl Kondo effect},
that is, the Lorentz-violating parameter is closely related to the
concentration of magnetic impurities living on a superconducting domain wall.
We also found that the critical temperature decreasing with the impurity
concentration as a non single-valued function, for the case $T_K < T_{c0}$,
develops a negative curvature and presents deviations from the Abrikosov and
Gor'kov theory, a phenomenon already supported by experimental evidence.
| [
{
"created": "Wed, 22 Jun 2016 19:50:24 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Jun 2016 19:53:15 GMT",
"version": "v2"
},
{
"created": "Tue, 20 Sep 2016 18:51:59 GMT",
"version": "v3"
}
] | 2016-11-23 | [
[
"Bazeia",
"D.",
""
],
[
"Brito",
"F. A.",
""
],
[
"Mota-Silva",
"J. C.",
""
]
] | We extend recent results on domain wall description of superconductivity in an Abelian Higgs model by introducing a particular Lorentz-violating term. The temperature of the system is interpreted through the fact that the soliton following accelerating orbits is a Rindler observer experiencing a thermal bath. We show that this term can be associated with the {\sl Kondo effect}, that is, the Lorentz-violating parameter is closely related to the concentration of magnetic impurities living on a superconducting domain wall. We also found that the critical temperature decreasing with the impurity concentration as a non single-valued function, for the case $T_K < T_{c0}$, develops a negative curvature and presents deviations from the Abrikosov and Gor'kov theory, a phenomenon already supported by experimental evidence. |
1902.06400 | Jai More Dr. | T. R. Govindarajan, Jai D. More and P. Ramadevi | Light front QED, Stueckelberg field and Infrared divergence | 12 pages, 2 figures, references added | Modern Physics Letters A 2 Vol. 34 (2019) 1950141 | 10.1142/S0217732319501414 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Stueckelberg mechanism introduces a scalar field, known as Stueckelberg
field, so that gauge symmetry is preserved in the massive abelian gauge theory.
In this work, we show that the role of the Stueckelberg field is similar to the
Kulish and Faddeev coherent state approach to handle infrared (IR) divergences.
We expect that the light-front quantum electrodynamics (LFQED) with
Stueckelberg field must be IR finite in the massless limit of the gauge boson.
We have explicitly shown the cancellation of IR divergences in the relevant
diagrams contributing to self-energy and vertex correction at leading order.
| [
{
"created": "Mon, 18 Feb 2019 04:52:21 GMT",
"version": "v1"
},
{
"created": "Sat, 4 May 2019 00:34:54 GMT",
"version": "v2"
}
] | 2019-05-07 | [
[
"Govindarajan",
"T. R.",
""
],
[
"More",
"Jai D.",
""
],
[
"Ramadevi",
"P.",
""
]
] | Stueckelberg mechanism introduces a scalar field, known as Stueckelberg field, so that gauge symmetry is preserved in the massive abelian gauge theory. In this work, we show that the role of the Stueckelberg field is similar to the Kulish and Faddeev coherent state approach to handle infrared (IR) divergences. We expect that the light-front quantum electrodynamics (LFQED) with Stueckelberg field must be IR finite in the massless limit of the gauge boson. We have explicitly shown the cancellation of IR divergences in the relevant diagrams contributing to self-energy and vertex correction at leading order. |
hep-th/0102158 | David Berenstein | David Berenstein, Robert G. Leigh | Observations on non-commutative field theories in coordinate space | 17 pages, Latex. Updated references | null | null | ILL-(TH)-00-11 | hep-th | null | We discuss non-commutative field theories in coordinate space. To do so we
introduce pseudo-localized operators that represent interesting position
dependent (gauge invariant) observables. The formalism may be applied to
arbitrary field theories, with or without supersymmetry.
The formalism has a number of intuitive advantages. First it makes clear the
appearance of new degrees of freedom in the infrared. Second, it allows for a
study of correlation functions of (composite) operators. Thus we calculate the
two point function in position space of the insertion of certain composite
operators. We demonstrate that, even at tree level, many of the by now familiar
properties of non-commutative field theories are manifest and have simple
interpretations. The form of correlation functions are such that certain
singularities may be interpreted in terms of dimensional reduction along the
non-commutative directions: this comes about because these are theories of
fundamental dipoles.
| [
{
"created": "Thu, 22 Feb 2001 22:32:10 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Feb 2001 18:38:08 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Berenstein",
"David",
""
],
[
"Leigh",
"Robert G.",
""
]
] | We discuss non-commutative field theories in coordinate space. To do so we introduce pseudo-localized operators that represent interesting position dependent (gauge invariant) observables. The formalism may be applied to arbitrary field theories, with or without supersymmetry. The formalism has a number of intuitive advantages. First it makes clear the appearance of new degrees of freedom in the infrared. Second, it allows for a study of correlation functions of (composite) operators. Thus we calculate the two point function in position space of the insertion of certain composite operators. We demonstrate that, even at tree level, many of the by now familiar properties of non-commutative field theories are manifest and have simple interpretations. The form of correlation functions are such that certain singularities may be interpreted in terms of dimensional reduction along the non-commutative directions: this comes about because these are theories of fundamental dipoles. |
hep-th/9904144 | Michael luke Walker | M. L. Walker and C. J. Burden | Nonperturbative Vertices in Supersymmetric Quantum Electrodynamics | seventeen pages latex | Phys.Rev. D60 (1999) 105018 | 10.1103/PhysRevD.60.105018 | null | hep-th | null | We derive the complete set of supersymmetric Ward identities involving only
two- and three- point proper vertices in supersymmetric QED. We also present
the most general form of the proper vertices consistent with both the
supersymmetric and U(1) gauge Ward identities. These vertices are the
supersymmetric equivalent of the non supersymmetric Ball-Chiu vertices.
| [
{
"created": "Wed, 21 Apr 1999 06:45:02 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Walker",
"M. L.",
""
],
[
"Burden",
"C. J.",
""
]
] | We derive the complete set of supersymmetric Ward identities involving only two- and three- point proper vertices in supersymmetric QED. We also present the most general form of the proper vertices consistent with both the supersymmetric and U(1) gauge Ward identities. These vertices are the supersymmetric equivalent of the non supersymmetric Ball-Chiu vertices. |
hep-th/9909227 | Feike Hacquebord | Feike Hacquebord | Symmetries and interactions in matrix string theory | 115 pages, PhD-thesis defended at the University of Amsterdam,
september 1999. Hardcopies available via the author | null | null | null | hep-th | null | This PhD-thesis reviews matrix string theory and recent developments therein.
Emphasis is put on symmetries, interactions and scattering processes in the
matrix model. We start with an introduction to matrix string theory and a
review of the orbifold model that flows out of matrix string theory in the
strong YM coupling limit. Then we turn our attention to the appearance of
U-duality symmetry in gauge models, after a (very) short summary of string
duality, D-branes and M-theory. The last chapter reviews matrix string
interactions and scattering processes in the high energy limit. Also, pair
production of D-particles is studied in detail. D-pair production is expected
to give important corrections to high energy scattering processes in string
theory.
| [
{
"created": "Thu, 30 Sep 1999 20:12:41 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Hacquebord",
"Feike",
""
]
] | This PhD-thesis reviews matrix string theory and recent developments therein. Emphasis is put on symmetries, interactions and scattering processes in the matrix model. We start with an introduction to matrix string theory and a review of the orbifold model that flows out of matrix string theory in the strong YM coupling limit. Then we turn our attention to the appearance of U-duality symmetry in gauge models, after a (very) short summary of string duality, D-branes and M-theory. The last chapter reviews matrix string interactions and scattering processes in the high energy limit. Also, pair production of D-particles is studied in detail. D-pair production is expected to give important corrections to high energy scattering processes in string theory. |
hep-th/9610180 | Valter Moretti | Valter Moretti and Devis Iellici | Optical Approach for the Thermal Partition Function of Photons | 33 pages, RevTeX, no figures. Minor errors corrected, a few Comments
changed and some references added since first submission. To be published on
Phys.Rev.D | Phys.Rev.D55:3552-3563,1997 | 10.1103/PhysRevD.55.3552 | UTF-388 | hep-th gr-qc | null | The optical manifold method to compute the one-loop effective action in a
static space-time is extended from the massless scalar field to the Maxwell
field in any Feynman-like covariant gauge. The method is applied to the case of
the Rindler space obtaining the same results as the point-splitting procedure.
The result is free from Kabat's surface terms which instead affect the
$\zeta$-function or heat-kernel approaches working directly in the static
manifold containing conical singularities. The relation between the optical
method and the direct $\zeta$-function approach on the Euclidean Rindler
manifold is discussed both in the scalar and the photon cases. Problems with
the thermodynamic self-consistency of the results obtained from the stress
tensor in the case of the Rindler space are pointed out.
| [
{
"created": "Wed, 23 Oct 1996 14:33:06 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Feb 1997 14:49:52 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Moretti",
"Valter",
""
],
[
"Iellici",
"Devis",
""
]
] | The optical manifold method to compute the one-loop effective action in a static space-time is extended from the massless scalar field to the Maxwell field in any Feynman-like covariant gauge. The method is applied to the case of the Rindler space obtaining the same results as the point-splitting procedure. The result is free from Kabat's surface terms which instead affect the $\zeta$-function or heat-kernel approaches working directly in the static manifold containing conical singularities. The relation between the optical method and the direct $\zeta$-function approach on the Euclidean Rindler manifold is discussed both in the scalar and the photon cases. Problems with the thermodynamic self-consistency of the results obtained from the stress tensor in the case of the Rindler space are pointed out. |
1210.1712 | Dankrad T.J. Feist | D. T. J. Feist, P. H. C. Lau and N. S. Manton | Skyrmions up to Baryon Number 108 | 26 pages, 16 figures, 1 table | null | 10.1103/PhysRevD.87.085034 | DAMTP-2012-62 | hep-th nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Skyrme crystal is built up of repeating units similar to the cubic
Skyrmion of baryon number 4. Using this as guide, we construct new Skyrmion
solutions in the massive pion case, with various baryon numbers up to 108. Most
of our solutions resemble chunks of the Skyrme crystal. They are constructed
using a multi-layer version of the rational map ansatz to create initial
configurations, which are then relaxed numerically to find the energy minima.
The coefficients of the rational maps are found by a geometrical construction
related to the Skyrme crystal structure. We find some further solutions by
numerical relaxation of clusters composed of baryon number 4 Skyrmions.
| [
{
"created": "Fri, 5 Oct 2012 11:22:30 GMT",
"version": "v1"
}
] | 2013-05-01 | [
[
"Feist",
"D. T. J.",
""
],
[
"Lau",
"P. H. C.",
""
],
[
"Manton",
"N. S.",
""
]
] | The Skyrme crystal is built up of repeating units similar to the cubic Skyrmion of baryon number 4. Using this as guide, we construct new Skyrmion solutions in the massive pion case, with various baryon numbers up to 108. Most of our solutions resemble chunks of the Skyrme crystal. They are constructed using a multi-layer version of the rational map ansatz to create initial configurations, which are then relaxed numerically to find the energy minima. The coefficients of the rational maps are found by a geometrical construction related to the Skyrme crystal structure. We find some further solutions by numerical relaxation of clusters composed of baryon number 4 Skyrmions. |
hep-th/0610270 | Angel Paredes | Angel Paredes | On unquenched N=2 holographic flavor | 25 pages, 4 figures | JHEP0612:032,2006 | 10.1088/1126-6708/2006/12/032 | CPHT-RR 080.1006 | hep-th | null | The addition of fundamental degrees of freedom to a theory which is dual (at
low energies) to N=2 SYM in 1+3 dimensions is studied. The gauge theory lives
on a stack of Nc D5 branes wrapping an S^2 with the appropriate twist, while
the fundamental hypermultiplets are introduced by adding a different set of Nf
D5-branes. In a simple case, a system of first order equations taking into
account the backreaction of the flavor branes is derived (Nf/Nc is kept of
order 1). From it, the modification of the holomorphic coupling is computed
explicitly. Mesonic excitations are also discussed.
| [
{
"created": "Wed, 25 Oct 2006 15:27:09 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Paredes",
"Angel",
""
]
] | The addition of fundamental degrees of freedom to a theory which is dual (at low energies) to N=2 SYM in 1+3 dimensions is studied. The gauge theory lives on a stack of Nc D5 branes wrapping an S^2 with the appropriate twist, while the fundamental hypermultiplets are introduced by adding a different set of Nf D5-branes. In a simple case, a system of first order equations taking into account the backreaction of the flavor branes is derived (Nf/Nc is kept of order 1). From it, the modification of the holomorphic coupling is computed explicitly. Mesonic excitations are also discussed. |
hep-th/9406088 | Michael Martin Nieto | Michael Martin Nieto and Jamil Daboul | Exact, E=0, Classical and Quantum Solutions for General Power-Law
Oscillators | 12 pages, including 7 figures available from the authors. Los Alamos
preprint LA-UR-94-1949. Invited talk at 2nd International Workshop on
Harmonic Oscillators, held at Cocoyoc, Morelos, Mexico | null | null | null | hep-th | null | For zero energy, $E=0$, we derive exact, classical and quantum solutions for
{\em all} power-law oscillators with potentials $V(r)=-\gamma/r^\nu$,
$\gamma>0$ and $-\infty <\nu<\infty$. When the angular momentum is non-zero,
these solutions lead to the classical orbits $\r(t)= [\cos \mu
(\th(t)-\th_0(t))]^{1/\mu}$, with $\mu=\nu/2-1 \ne 0$. For $\nu>2$, the orbits
are bound and go through the origin. We calculate the periods and precessions
of these bound orbits, and graph a number of specific examples. The unbound
orbits are also discussed in detail. Quantum mechanically, this system is also
exactly solvable. We find that when $\nu>2$ the solutions are normalizable
(bound), as in the classical case. Further, there are normalizable discrete,
yet {\it unbound}, states. They correspond to unbound classical particles which
reach infinity in a finite time. Finally, the number of space dimensions of the
system can determine whether or not an $E=0$ state is bound. These and other
interesting comparisons to the classical system will be discussed.
| [
{
"created": "Tue, 14 Jun 1994 16:26:37 GMT",
"version": "v1"
}
] | 2009-09-25 | [
[
"Nieto",
"Michael Martin",
""
],
[
"Daboul",
"Jamil",
""
]
] | For zero energy, $E=0$, we derive exact, classical and quantum solutions for {\em all} power-law oscillators with potentials $V(r)=-\gamma/r^\nu$, $\gamma>0$ and $-\infty <\nu<\infty$. When the angular momentum is non-zero, these solutions lead to the classical orbits $\r(t)= [\cos \mu (\th(t)-\th_0(t))]^{1/\mu}$, with $\mu=\nu/2-1 \ne 0$. For $\nu>2$, the orbits are bound and go through the origin. We calculate the periods and precessions of these bound orbits, and graph a number of specific examples. The unbound orbits are also discussed in detail. Quantum mechanically, this system is also exactly solvable. We find that when $\nu>2$ the solutions are normalizable (bound), as in the classical case. Further, there are normalizable discrete, yet {\it unbound}, states. They correspond to unbound classical particles which reach infinity in a finite time. Finally, the number of space dimensions of the system can determine whether or not an $E=0$ state is bound. These and other interesting comparisons to the classical system will be discussed. |
hep-th/9711188 | Ettore Remiddi | Ettore Remiddi (Physics Dpt. and INFN, Bologna, Italy) | Differential Equations for Feynman Graph Amplitudes | 19 pages, Latex, 3 encapsulated Postscript figures, uses epsfig.sty,
quotation added | Nuovo Cim. A110 (1997) 1435-1452 | 10.1007/BF03185566 | DFUB 97-15 | hep-th hep-ph | null | It is by now well established that, by means of the integration by part
identities, all the integrals occurring in the evaluation of a Feynman graph of
given topology can be expressed in terms of a few independent master integrals.
It is shown in this paper that the integration by part identities can be
further used for obtaining a linear system of first order differential
equations for the master integrals themselves. The equations can then be used
for the numerical evaluation of the amplitudes as well as for investigating
their analytic properties, such as the asymptotic and threshold behaviours and
the corresponding expansions (and for analytic integration purposes, when
possible). The new method is illustrated through its somewhat detailed
application to the case of the one loop self-mass amplitude, by explicitly
working out expansions and quadrature formulas, both in arbitrary continuous
dimension n and in the n \to 4 limit. It is then shortly discussed which
features of the new method are expected to work in the more general case of
multi-point, multi-loop amplitudes.
| [
{
"created": "Wed, 26 Nov 1997 11:57:35 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Dec 1997 15:42:49 GMT",
"version": "v2"
}
] | 2022-03-02 | [
[
"Remiddi",
"Ettore",
"",
"Physics Dpt. and INFN, Bologna, Italy"
]
] | It is by now well established that, by means of the integration by part identities, all the integrals occurring in the evaluation of a Feynman graph of given topology can be expressed in terms of a few independent master integrals. It is shown in this paper that the integration by part identities can be further used for obtaining a linear system of first order differential equations for the master integrals themselves. The equations can then be used for the numerical evaluation of the amplitudes as well as for investigating their analytic properties, such as the asymptotic and threshold behaviours and the corresponding expansions (and for analytic integration purposes, when possible). The new method is illustrated through its somewhat detailed application to the case of the one loop self-mass amplitude, by explicitly working out expansions and quadrature formulas, both in arbitrary continuous dimension n and in the n \to 4 limit. It is then shortly discussed which features of the new method are expected to work in the more general case of multi-point, multi-loop amplitudes. |
hep-th/9705035 | Erick J. Weinberg | Michael S. Turner and Erick J. Weinberg | Pre-Big-Bang Inflation Requires Fine Tuning | 13 pages, Latex, 3 figures included | Phys. Rev. D 56, 4604 (1997) | 10.1103/PhysRevD.56.4604 | null | hep-th astro-ph | null | The pre-big-bang cosmology inspired by superstring theories has been
suggested as an alternative to slow-roll inflation. We analyze, in both the
Jordan and Einstein frames, the effect of spatial curvature on this scenario
and show that too much curvature --- of either sign --- reduces the duration of
the inflationary era to such an extent that the flatness and horizon problems
are not solved. Hence, a fine-tuning of initial conditions is required to
obtain enough inflation to solve the cosmological problems.
| [
{
"created": "Tue, 6 May 1997 13:58:33 GMT",
"version": "v1"
}
] | 2016-08-25 | [
[
"Turner",
"Michael S.",
""
],
[
"Weinberg",
"Erick J.",
""
]
] | The pre-big-bang cosmology inspired by superstring theories has been suggested as an alternative to slow-roll inflation. We analyze, in both the Jordan and Einstein frames, the effect of spatial curvature on this scenario and show that too much curvature --- of either sign --- reduces the duration of the inflationary era to such an extent that the flatness and horizon problems are not solved. Hence, a fine-tuning of initial conditions is required to obtain enough inflation to solve the cosmological problems. |
1109.5857 | Ralf Hofmann | Ralf Hofmann | Thermal Ground State in Yang-Mills Thermodynamics | 5 pages | AIP Conf. Proc. Volume 1389, pp. 671-675 ICNAAM 2011 | 10.1063/1.3636820 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive an a useful priori estimate for the thermal ground state of
deconfining phase of SU(2) Yang-Mills thermodynamics in four-dimensional, flat
spacetime and discuss its implications. Upon a selfconsistent spatial
coarse-graining over noninteracting, trivial-holonomy (BPS saturated)
(anti)calorons of unit topological charge modulus an inert, adjoint scalar
field $|\phi|$ and an effective pure-gauge configuration $a_\mu^{gs}$ emerge.
The modulus $|\phi|>0$ defines the maximal resolution in the coarse-grained
theory and induces dynamical gauge-symmetry breaking. Thanks to perturbative
renormalizability and the fact that |phi| can not absorb or emit
energy-momentum the effective action is local and simple. The temperature
dependence of the effective coupling is a consequence of thermodynamical
consistency and describes the Coulomb screening of a static test charge due to
short-lived monopole-antimonopole pairs. The latter occur unresolvably as
small-holonomy excitations of (anti)calorons by the absorption of propagating
fundamental gauge fields.
| [
{
"created": "Tue, 27 Sep 2011 12:24:55 GMT",
"version": "v1"
}
] | 2011-09-28 | [
[
"Hofmann",
"Ralf",
""
]
] | We derive an a useful priori estimate for the thermal ground state of deconfining phase of SU(2) Yang-Mills thermodynamics in four-dimensional, flat spacetime and discuss its implications. Upon a selfconsistent spatial coarse-graining over noninteracting, trivial-holonomy (BPS saturated) (anti)calorons of unit topological charge modulus an inert, adjoint scalar field $|\phi|$ and an effective pure-gauge configuration $a_\mu^{gs}$ emerge. The modulus $|\phi|>0$ defines the maximal resolution in the coarse-grained theory and induces dynamical gauge-symmetry breaking. Thanks to perturbative renormalizability and the fact that |phi| can not absorb or emit energy-momentum the effective action is local and simple. The temperature dependence of the effective coupling is a consequence of thermodynamical consistency and describes the Coulomb screening of a static test charge due to short-lived monopole-antimonopole pairs. The latter occur unresolvably as small-holonomy excitations of (anti)calorons by the absorption of propagating fundamental gauge fields. |
1005.2389 | Klaus Kirsten | Klaus Kirsten | Basic zeta functions and some applications in physics | To appear in "A Window into Zeta and Modular Physics", Mathematical
Sciences Research Institute Publications, Vol. 57, 2010, Cambridge University
Press | MSRI Publ.57:101-143,2010 | null | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is the aim of these lectures to introduce some basic zeta functions and
their uses in the areas of the Casimir effect and Bose-Einstein condensation. A
brief introduction into these areas is given in the respective sections. We
will consider exclusively spectral zeta functions, that is zeta functions
arising from the eigenvalue spectrum of suitable differential operators. There
is a set of technical tools that are at the very heart of understanding
analytical properties of essentially every spectral zeta function. Those tools
are introduced using the well-studied examples of the Hurwitz, Epstein and
Barnes zeta function. It is explained how these different examples of zeta
functions can all be thought of as being generated by the same mechanism,
namely they all result from eigenvalues of suitable (partial) differential
operators. It is this relation with partial differential operators that
provides the motivation for analyzing the zeta functions considered in these
lectures. Motivations come for example from the questions "Can one hear the
shape of a drum?" and "What does the Casimir effect know about a boundary?".
Finally "What does a Bose gas know about its container?"
| [
{
"created": "Thu, 13 May 2010 18:35:29 GMT",
"version": "v1"
}
] | 2011-08-04 | [
[
"Kirsten",
"Klaus",
""
]
] | It is the aim of these lectures to introduce some basic zeta functions and their uses in the areas of the Casimir effect and Bose-Einstein condensation. A brief introduction into these areas is given in the respective sections. We will consider exclusively spectral zeta functions, that is zeta functions arising from the eigenvalue spectrum of suitable differential operators. There is a set of technical tools that are at the very heart of understanding analytical properties of essentially every spectral zeta function. Those tools are introduced using the well-studied examples of the Hurwitz, Epstein and Barnes zeta function. It is explained how these different examples of zeta functions can all be thought of as being generated by the same mechanism, namely they all result from eigenvalues of suitable (partial) differential operators. It is this relation with partial differential operators that provides the motivation for analyzing the zeta functions considered in these lectures. Motivations come for example from the questions "Can one hear the shape of a drum?" and "What does the Casimir effect know about a boundary?". Finally "What does a Bose gas know about its container?" |
1711.02099 | Mark van Loon | Mark van Loon | The Analytic Bootstrap in Fermionic CFTs | 42+3 pages, no figures | null | 10.1007/JHEP01(2018)104 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We apply the method of the large spin bootstrap to analyse fermionic
conformal field theories with weakly broken higher spin symmetry. Through the
study of correlators of composite operators, we find the anomalous dimensions
and OPE coefficients in the Gross-Neveu model in $d=2+\varepsilon$ dimensions
and the Gross-Neveu-Yukawa model in $d=4-\varepsilon$ dimensions, based only on
crossing symmetry. Furthermore a non-trivial solution in the $d=2+\varepsilon$
expansion is found for a fermionic theory in which the fundamental field is not
part of the spectrum. The results are perturbative in $\varepsilon$ and valid
to all orders in the spin, reproducing known results for operator dimensions
and providing some new results for operator dimensions and OPE coefficients.
| [
{
"created": "Mon, 6 Nov 2017 19:00:03 GMT",
"version": "v1"
}
] | 2018-02-14 | [
[
"van Loon",
"Mark",
""
]
] | We apply the method of the large spin bootstrap to analyse fermionic conformal field theories with weakly broken higher spin symmetry. Through the study of correlators of composite operators, we find the anomalous dimensions and OPE coefficients in the Gross-Neveu model in $d=2+\varepsilon$ dimensions and the Gross-Neveu-Yukawa model in $d=4-\varepsilon$ dimensions, based only on crossing symmetry. Furthermore a non-trivial solution in the $d=2+\varepsilon$ expansion is found for a fermionic theory in which the fundamental field is not part of the spectrum. The results are perturbative in $\varepsilon$ and valid to all orders in the spin, reproducing known results for operator dimensions and providing some new results for operator dimensions and OPE coefficients. |
2106.11313 | John Stout | John Stout | Infinite Distance Limits and Information Theory | 52+6 pages, 6 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The classical information metric provides a unique notion of distance on the
space of probability distributions with a well-defined operational
interpretation: two distributions are far apart if they are readily
distinguishable from one another. The quantum information metric generalizes
this to the space of quantum states, and thus defines a notion of distance on
an arbitrary continuous family of quantum field theories via their vacua that
is proportional to the metric on moduli space when restricted appropriately. In
this paper, we study this metric and its operational interpretation in a
variety of examples. We specifically focus on why and how infinite distance
singularities appear. We argue that two theories are infinitely far apart if
they are hyper-distinguishable: that is, if they can be distinguished from one
another, with certainty, using only a few measurements. We explain why such
singularities appear for the simple harmonic oscillator yet are absent for
quantum field theories near a typical quantum critical point, and show how an
infinite distance point can emerge when a tower of fields degenerates in mass.
Finally, we use this perspective to provide a potential bottom-up motivation
for the Swampland Distance Conjecture and indicate how we might extend it
beyond current lampposts.
| [
{
"created": "Mon, 21 Jun 2021 18:00:00 GMT",
"version": "v1"
}
] | 2021-06-23 | [
[
"Stout",
"John",
""
]
] | The classical information metric provides a unique notion of distance on the space of probability distributions with a well-defined operational interpretation: two distributions are far apart if they are readily distinguishable from one another. The quantum information metric generalizes this to the space of quantum states, and thus defines a notion of distance on an arbitrary continuous family of quantum field theories via their vacua that is proportional to the metric on moduli space when restricted appropriately. In this paper, we study this metric and its operational interpretation in a variety of examples. We specifically focus on why and how infinite distance singularities appear. We argue that two theories are infinitely far apart if they are hyper-distinguishable: that is, if they can be distinguished from one another, with certainty, using only a few measurements. We explain why such singularities appear for the simple harmonic oscillator yet are absent for quantum field theories near a typical quantum critical point, and show how an infinite distance point can emerge when a tower of fields degenerates in mass. Finally, we use this perspective to provide a potential bottom-up motivation for the Swampland Distance Conjecture and indicate how we might extend it beyond current lampposts. |
hep-th/0408034 | Wung-Hong Huang | Wung-Hong Huang | Spectrum of Particles Created in Inhomogeneous Spacetimes | null | Phys.Lett. B244 (1990) 378-380 | 10.1016/0370-2693(90)90332-Z | null | hep-th gr-qc | null | It is proved that the spectrum of scalar particles generated from the initial
vacuum in inhomogeneous spacetime is nearly thermal in the limit of large
momentum $k$, if the momentum was defined as the variable of the Fourier
transform of the coordinate in the scalar field.
| [
{
"created": "Wed, 4 Aug 2004 09:55:51 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Huang",
"Wung-Hong",
""
]
] | It is proved that the spectrum of scalar particles generated from the initial vacuum in inhomogeneous spacetime is nearly thermal in the limit of large momentum $k$, if the momentum was defined as the variable of the Fourier transform of the coordinate in the scalar field. |
hep-th/0009151 | Arne Lykke Larsen | A.L. Larsen and A. Nicolaidis | Second Order Perturbations of a Macroscopic String; Covariant Approach | New discussion about the quantum mass-spectrum in chapter 4 | Phys.Rev. D63 (2001) 125006 | 10.1103/PhysRevD.63.125006 | null | hep-th | null | Using a world-sheet covariant formalism, we derive the equations of motion
for second order perturbations of a generic macroscopic string, thus
generalizing previous results for first order perturbations. We give the
explicit results for the first and second order perturbations of a contracting
near-circular string; these results are relevant for the understanding of the
possible outcome when a cosmic string contracts under its own tension, as
discussed in a series of papers by Vilenkin and Garriga. In particular, second
order perturbations are necessaary for a consistent computation of the energy.
We also quantize the perturbations and derive the mass-formula up to second
order in perturbations for an observer using world-sheet time $\tau $. The high
frequency modes give the standard Minkowski result while, interestingly enough,
the Hamiltonian turns out to be non-diagonal in oscillators for low-frequency
modes. Using an alternative definition of the vacuum, it is possible to
diagonalize the Hamiltonian, and the standard string mass-spectrum appears for
all frequencies. We finally discuss how our results are also relevant for the
problems concerning string-spreading near a black hole horizon, as originally
discussed by Susskind.
| [
{
"created": "Wed, 20 Sep 2000 09:14:46 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Feb 2001 14:47:53 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Larsen",
"A. L.",
""
],
[
"Nicolaidis",
"A.",
""
]
] | Using a world-sheet covariant formalism, we derive the equations of motion for second order perturbations of a generic macroscopic string, thus generalizing previous results for first order perturbations. We give the explicit results for the first and second order perturbations of a contracting near-circular string; these results are relevant for the understanding of the possible outcome when a cosmic string contracts under its own tension, as discussed in a series of papers by Vilenkin and Garriga. In particular, second order perturbations are necessaary for a consistent computation of the energy. We also quantize the perturbations and derive the mass-formula up to second order in perturbations for an observer using world-sheet time $\tau $. The high frequency modes give the standard Minkowski result while, interestingly enough, the Hamiltonian turns out to be non-diagonal in oscillators for low-frequency modes. Using an alternative definition of the vacuum, it is possible to diagonalize the Hamiltonian, and the standard string mass-spectrum appears for all frequencies. We finally discuss how our results are also relevant for the problems concerning string-spreading near a black hole horizon, as originally discussed by Susskind. |
1209.0641 | Adel Rezaei-Aghdam | A. Rezaei-Aghdam and M. Sephid | Perturbed Wess-Zumino-Witten models and N=(2,2) supersymmetric sigma
models on Lie groups with complex structure | 10 page. Section 3 is extended. Five references are added | J. Math. Phys. 55 (2014) 093508 | 10.1063/1.4895571. | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We have perturbed Wess-Zumino-Witten (WZW) models and also N=(2,2)
supersymmetric sigma models on Lie groups by adding a term containing complex
structure to their actions. Then, using non-coordinate basis, we have shown
that for N=(2,2) supersymmetric sigma models on Lie groups the conditions (from
the algebraic point of view) for the preservation of the N=(2,2) supersymmetry
impose that the complex structure must be invariant; so only the Abelian Lie
algebras admit these deformations preserving the N=(2,2) supersymmetry. Also,
we have shown that the perturbed WZW model with this term, using Hermitian (not
necessarily invariant) condition, is an integrable model.
| [
{
"created": "Tue, 4 Sep 2012 13:38:02 GMT",
"version": "v1"
},
{
"created": "Sat, 5 Oct 2013 14:01:24 GMT",
"version": "v2"
},
{
"created": "Sun, 8 Jun 2014 12:50:46 GMT",
"version": "v3"
},
{
"created": "Tue, 23 Sep 2014 13:37:58 GMT",
"version": "v4"
}
] | 2014-09-24 | [
[
"Rezaei-Aghdam",
"A.",
""
],
[
"Sephid",
"M.",
""
]
] | We have perturbed Wess-Zumino-Witten (WZW) models and also N=(2,2) supersymmetric sigma models on Lie groups by adding a term containing complex structure to their actions. Then, using non-coordinate basis, we have shown that for N=(2,2) supersymmetric sigma models on Lie groups the conditions (from the algebraic point of view) for the preservation of the N=(2,2) supersymmetry impose that the complex structure must be invariant; so only the Abelian Lie algebras admit these deformations preserving the N=(2,2) supersymmetry. Also, we have shown that the perturbed WZW model with this term, using Hermitian (not necessarily invariant) condition, is an integrable model. |
1205.0443 | Charles Suggs | R. Jackiw and S.-Y. Pi | Conformal Blocks for the 4-Point Function in Conformal Quantum Mechanics | Formula for 4-point function is corrected and generalized | null | 10.1103/PhysRevD.86.045017 | MIT-CTP/4365 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Extending previous work on 2 -- and 3 -- point functions, we study the 4 --
point function and its conformal block structure in conformal quantum mechanics
CFT$_1$, which realizes the SO(2,1) symmetry group. Conformal covariance is
preserved even though the operators with which we work need not be primary and
the states are not conformally invariant. We find that only one conformal block
contributes to the four-point function. We describe some further properties of
the states that we use and we construct dynamical evolution generated by the
compact generator of SO(2.1).
| [
{
"created": "Wed, 2 May 2012 14:25:13 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Oct 2012 16:34:20 GMT",
"version": "v2"
}
] | 2013-05-30 | [
[
"Jackiw",
"R.",
""
],
[
"Pi",
"S. -Y.",
""
]
] | Extending previous work on 2 -- and 3 -- point functions, we study the 4 -- point function and its conformal block structure in conformal quantum mechanics CFT$_1$, which realizes the SO(2,1) symmetry group. Conformal covariance is preserved even though the operators with which we work need not be primary and the states are not conformally invariant. We find that only one conformal block contributes to the four-point function. We describe some further properties of the states that we use and we construct dynamical evolution generated by the compact generator of SO(2.1). |
hep-th/0210035 | Ori J. Ganor | Ori J. Ganor and Uday Varadarajan | Nonlocal Effects on D-branes in Plane-Wave Backgrounds | 19 pages, a few sentences added and $L^+$ changed to $L^-$ | JHEP 0211:051,2002 | 10.1088/1126-6708/2002/11/051 | UCB-PTH-02-40, LBNL-51535 | hep-th | null | We argue that the effective field theory on D3-branes in a plane-wave
background with 3-form flux is a nonlocal deformation of Yang-Mills theory. In
the case of NSNS flux, it is a dipole field theory with lightlike dipole
vectors. For an RR 3-form flux the dipole theory is strongly coupled. We
propose a weakly coupled S-dual description for it. The S-dual description is
local at any finite order in string perturbation theory but becomes nonlocal
when all perturbation theory orders are summed together.
| [
{
"created": "Thu, 3 Oct 2002 20:04:21 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Oct 2002 19:36:54 GMT",
"version": "v2"
},
{
"created": "Mon, 9 Dec 2002 21:56:55 GMT",
"version": "v3"
}
] | 2014-11-18 | [
[
"Ganor",
"Ori J.",
""
],
[
"Varadarajan",
"Uday",
""
]
] | We argue that the effective field theory on D3-branes in a plane-wave background with 3-form flux is a nonlocal deformation of Yang-Mills theory. In the case of NSNS flux, it is a dipole field theory with lightlike dipole vectors. For an RR 3-form flux the dipole theory is strongly coupled. We propose a weakly coupled S-dual description for it. The S-dual description is local at any finite order in string perturbation theory but becomes nonlocal when all perturbation theory orders are summed together. |
1112.3939 | Andrea Borghese | Andrea Borghese, Roman Linares, Diederik Roest | Minimal Stability in Maximal Supergravity | 27 pages, 1 figure. v2: two typos corrected, published version | 10.1007/JHEP07(2012)034 | 10.1007/JHEP07(2012)034 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently, it has been shown that maximal supergravity allows for
non-supersymmetric AdS critical points that are perturbatively stable. We
investigate this phenomenon of stability without supersymmetry from the
sGoldstino point of view. In particular, we calculate the projection of the
mass matrix onto the sGoldstino directions, and derive the necessary conditions
for stability. Indeed we find a narrow window allowing for stable SUSY breaking
points. As a by-product of our analysis, we find that it seems impossible to
perturb supersymmetric critical points into non-supersymmetric ones: there is a
minimal amount of SUSY breaking in maximal supergravity.
| [
{
"created": "Fri, 16 Dec 2011 20:21:15 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Jul 2012 10:20:02 GMT",
"version": "v2"
}
] | 2015-06-03 | [
[
"Borghese",
"Andrea",
""
],
[
"Linares",
"Roman",
""
],
[
"Roest",
"Diederik",
""
]
] | Recently, it has been shown that maximal supergravity allows for non-supersymmetric AdS critical points that are perturbatively stable. We investigate this phenomenon of stability without supersymmetry from the sGoldstino point of view. In particular, we calculate the projection of the mass matrix onto the sGoldstino directions, and derive the necessary conditions for stability. Indeed we find a narrow window allowing for stable SUSY breaking points. As a by-product of our analysis, we find that it seems impossible to perturb supersymmetric critical points into non-supersymmetric ones: there is a minimal amount of SUSY breaking in maximal supergravity. |
2210.02492 | David Poland | Rajeev S. Erramilli, Luca V. Iliesiu, Petr Kravchuk, Aike Liu, David
Poland, David Simmons-Duffin | The Gross-Neveu-Yukawa Archipelago | 51 pages, 8 figures, 3 appendices; v2: small corrections and
clarifications to match JHEP version | JHEP 02 (2023) 036 | 10.1007/JHEP02(2023)036 | CALT-TH 2022-027 | hep-th cond-mat.stat-mech cond-mat.str-el hep-lat | http://creativecommons.org/licenses/by/4.0/ | We perform a bootstrap analysis of a mixed system of four-point functions of
bosonic and fermionic operators in parity-preserving 3d CFTs with O(N) global
symmetry. Our results provide rigorous bounds on the scaling dimensions of the
O(N)-symmetric Gross-Neveu-Yukawa (GNY) fixed points, constraining these
theories to live in isolated islands in the space of CFT data. We focus on the
cases N = 1, 2, 4, 8, which have applications to phase transitions in condensed
matter systems, and compare our bounds to previous analytical and numerical
results.
| [
{
"created": "Wed, 5 Oct 2022 18:12:03 GMT",
"version": "v1"
},
{
"created": "Tue, 23 May 2023 17:28:53 GMT",
"version": "v2"
}
] | 2023-05-24 | [
[
"Erramilli",
"Rajeev S.",
""
],
[
"Iliesiu",
"Luca V.",
""
],
[
"Kravchuk",
"Petr",
""
],
[
"Liu",
"Aike",
""
],
[
"Poland",
"David",
""
],
[
"Simmons-Duffin",
"David",
""
]
] | We perform a bootstrap analysis of a mixed system of four-point functions of bosonic and fermionic operators in parity-preserving 3d CFTs with O(N) global symmetry. Our results provide rigorous bounds on the scaling dimensions of the O(N)-symmetric Gross-Neveu-Yukawa (GNY) fixed points, constraining these theories to live in isolated islands in the space of CFT data. We focus on the cases N = 1, 2, 4, 8, which have applications to phase transitions in condensed matter systems, and compare our bounds to previous analytical and numerical results. |
hep-th/9911163 | Alex Lewis | Alex Lewis | Logarithmic Operators in AdS_3/CFT_2 | 8 pages, Latex. Minor changes, references added | Phys.Lett. B480 (2000) 348-354 | 10.1016/S0370-2693(00)00390-7 | null | hep-th | null | We discuss the relation between singletons in AdS_3 and logarithmic operators
in the CFT on the boundary. In 2 dimensions there can be more logarithmic
operators apart from those which correspond to singletons in AdS, because
logarithmic operators can occur when the dimensions of primary fields differ by
an integer instead of being equal. These operators may be needed to account for
the greybody factor for gauge bosons in the bulk.
| [
{
"created": "Mon, 22 Nov 1999 15:05:04 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Nov 1999 22:23:37 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Lewis",
"Alex",
""
]
] | We discuss the relation between singletons in AdS_3 and logarithmic operators in the CFT on the boundary. In 2 dimensions there can be more logarithmic operators apart from those which correspond to singletons in AdS, because logarithmic operators can occur when the dimensions of primary fields differ by an integer instead of being equal. These operators may be needed to account for the greybody factor for gauge bosons in the bulk. |
hep-th/0111020 | Oliver Jahn | Brian P. Dolan and Oliver Jahn | Fuzzy Complex Grassmannian Spaces and their Star Products | 1+23 pages, 1 figure, LaTeX. Typos fixed, references added, version
to appear in Int.J.Mod.Phys.A | Int.J.Mod.Phys.A18:1935-1958,2003 | 10.1142/S0217751X03014113 | DIAS-STP-01-16 | hep-th math.QA | null | We derive an explicit expression for an associative star product on
non-commutative versions of complex Grassmannian spaces, in particular for the
case of complex 2-planes. Our expression is in terms of a finite sum of
derivatives. This generalises previous results for complex projective spaces
and gives a discrete approximation for the Grassmannians in terms of a
non-commutative algebra, represented by matrix multiplication in a
finite-dimensional matrix algebra. The matrices are restricted to have a
dimension which is precisely determined by the harmonic expansion of functions
on the commutative Grassmannian, truncated at a finite level. In the limit of
infinite-dimensional matrices we recover the commutative algebra of functions
on the complex Grassmannians.
| [
{
"created": "Fri, 2 Nov 2001 10:49:57 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Jan 2003 13:24:41 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Dolan",
"Brian P.",
""
],
[
"Jahn",
"Oliver",
""
]
] | We derive an explicit expression for an associative star product on non-commutative versions of complex Grassmannian spaces, in particular for the case of complex 2-planes. Our expression is in terms of a finite sum of derivatives. This generalises previous results for complex projective spaces and gives a discrete approximation for the Grassmannians in terms of a non-commutative algebra, represented by matrix multiplication in a finite-dimensional matrix algebra. The matrices are restricted to have a dimension which is precisely determined by the harmonic expansion of functions on the commutative Grassmannian, truncated at a finite level. In the limit of infinite-dimensional matrices we recover the commutative algebra of functions on the complex Grassmannians. |
hep-th/9911072 | Marty Stock | R. Jackiw and So-Young Pi | Creation and evolution of magnetic helicity | Clarifying remarks and references added; 12 pages, 1 figure using
BoxedEPSF, REVTeX macros; submitted to Phys Rev D; email to
jackiw@ralph2.mit.edu | Phys.Rev. D61 (2000) 105015 | 10.1103/PhysRevD.61.105015 | MIT-CTP No. 2919, BUHEP-99-28 | hep-th hep-ph math-ph math.MP | null | Projecting a non-Abelian SU(2) vacuum gauge field - a pure gauge constructed
from the group element U - onto a fixed (electromagnetic) direction in isospace
gives rise to a nontrivial magnetic field, with nonvanishing magnetic helicity,
which coincides with the winding number of U. Although the helicity is not
conserved under Maxwell (vacuum) evolution, it retains one-half its initial
value at infinite time.
| [
{
"created": "Wed, 10 Nov 1999 22:29:37 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Dec 1999 22:01:11 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Jackiw",
"R.",
""
],
[
"Pi",
"So-Young",
""
]
] | Projecting a non-Abelian SU(2) vacuum gauge field - a pure gauge constructed from the group element U - onto a fixed (electromagnetic) direction in isospace gives rise to a nontrivial magnetic field, with nonvanishing magnetic helicity, which coincides with the winding number of U. Although the helicity is not conserved under Maxwell (vacuum) evolution, it retains one-half its initial value at infinite time. |
1407.6364 | Gim Seng Ng | Tatsuo Azeyanagi, R. Loganayagam, Gim Seng Ng and Maria J. Rodriguez | Covariant Noether Charge for Higher Dimensional Chern-Simons Terms | 45 pages; v2: minor corrections and JHEP version | null | 10.1007/JHEP05(2015)041 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a manifestly covariant differential Noether charge for theories
with Chern-Simons terms in higher dimensional spacetimes. This is in contrast
to Tachikawa's extension of the standard Lee-Iyer-Wald formalism which results
in a non-covariant differential Noether charge for Chern-Simons terms. On a
bifurcation surface, our differential Noether charge integrates to the
Wald-like entropy formula proposed by Tachikawa in arXiv:hep-th/0611141.
| [
{
"created": "Wed, 23 Jul 2014 20:00:17 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Jul 2015 14:16:43 GMT",
"version": "v2"
}
] | 2017-09-13 | [
[
"Azeyanagi",
"Tatsuo",
""
],
[
"Loganayagam",
"R.",
""
],
[
"Ng",
"Gim Seng",
""
],
[
"Rodriguez",
"Maria J.",
""
]
] | We construct a manifestly covariant differential Noether charge for theories with Chern-Simons terms in higher dimensional spacetimes. This is in contrast to Tachikawa's extension of the standard Lee-Iyer-Wald formalism which results in a non-covariant differential Noether charge for Chern-Simons terms. On a bifurcation surface, our differential Noether charge integrates to the Wald-like entropy formula proposed by Tachikawa in arXiv:hep-th/0611141. |
hep-th/0401085 | Donghyun Kim | Donghyun Kim, Yoonbai Kim, JungJai Lee | Black Brane World from Gravitating Half $\sigma$-lump | 23 pages, 4 figures, Published version | JHEP 0401 (2004) 053 | 10.1088/1126-6708/2004/01/053 | null | hep-th | null | We study O($N+1$) nonlinear $\sigma$-model in $(p+1+N)$-dimensional curved
spacetime with negative cosmological constant, and find a new $\sigma$-lump
solution with half-integer winding and divergent energy. When the spatial
structure of $N$ extra-dimensions is determined by this global defect, a black
$\sigma p$-brane surrounded by the degenerated horizon is formed and its
near-horizon geometry is identified as a warp geometry of cigar type.
| [
{
"created": "Tue, 13 Jan 2004 12:43:18 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Jan 2004 10:31:41 GMT",
"version": "v2"
},
{
"created": "Fri, 5 Mar 2004 08:25:23 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Kim",
"Donghyun",
""
],
[
"Kim",
"Yoonbai",
""
],
[
"Lee",
"JungJai",
""
]
] | We study O($N+1$) nonlinear $\sigma$-model in $(p+1+N)$-dimensional curved spacetime with negative cosmological constant, and find a new $\sigma$-lump solution with half-integer winding and divergent energy. When the spatial structure of $N$ extra-dimensions is determined by this global defect, a black $\sigma p$-brane surrounded by the degenerated horizon is formed and its near-horizon geometry is identified as a warp geometry of cigar type. |
hep-th/0607099 | Gregory Gabadadze | Cedric Deffayet, Gregory Gabadadze, Alberto Iglesias | Perturbations of Self-Accelerated Universe | 39 LaTex pages | JCAP 0608:012,2006 | 10.1088/1475-7516/2006/08/012 | NYU-TH-05/12/10 | hep-th astro-ph | null | We discuss small perturbations on the self-accelerated solution of the DGP
model, and argue that claims of instability of the solution that are based on
linearized calculations are unwarranted because of the following: (1) Small
perturbations of an empty self-accelerated background can be quantized
consistently without yielding ghosts. (2) Conformal sources, such as radiation,
do not give rise to instabilities either. (3) A typical non-conformal source
could introduce ghosts in the linearized approximation and become unstable,
however, it also invalidates the approximation itself. Such a source creates a
halo of variable curvature that locally dominates over the self-accelerated
background and extends over a domain in which the linearization breaks down.
Perturbations that are valid outside the halo may not continue inside, as it is
suggested by some non-perturbative solutions. (4) In the Euclidean continuation
of the theory, with arbitrary sources, we derive certain constraints imposed by
the second order equations on first order perturbations, thus restricting the
linearized solutions that could be continued into the full nonlinear theory.
Naive linearized solutions fail to satisfy the above constraints. (5) Finally,
we clarify in detail subtleties associated with the boundary conditions and
analytic properties of the Green's functions.
| [
{
"created": "Mon, 17 Jul 2006 17:31:06 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Deffayet",
"Cedric",
""
],
[
"Gabadadze",
"Gregory",
""
],
[
"Iglesias",
"Alberto",
""
]
] | We discuss small perturbations on the self-accelerated solution of the DGP model, and argue that claims of instability of the solution that are based on linearized calculations are unwarranted because of the following: (1) Small perturbations of an empty self-accelerated background can be quantized consistently without yielding ghosts. (2) Conformal sources, such as radiation, do not give rise to instabilities either. (3) A typical non-conformal source could introduce ghosts in the linearized approximation and become unstable, however, it also invalidates the approximation itself. Such a source creates a halo of variable curvature that locally dominates over the self-accelerated background and extends over a domain in which the linearization breaks down. Perturbations that are valid outside the halo may not continue inside, as it is suggested by some non-perturbative solutions. (4) In the Euclidean continuation of the theory, with arbitrary sources, we derive certain constraints imposed by the second order equations on first order perturbations, thus restricting the linearized solutions that could be continued into the full nonlinear theory. Naive linearized solutions fail to satisfy the above constraints. (5) Finally, we clarify in detail subtleties associated with the boundary conditions and analytic properties of the Green's functions. |
2406.16688 | Andrei Mironov | A. Mironov, A. Morozov, A. Popolitov | Commutative families in DIM algebra, integrable many-body systems and
$q,t$ matrix models | 51 pages, LaTeX | null | null | FIAN/TD-07/24; IITP/TH-13/24; ITEP/TH-15/24; MIPT/TH-11/24 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We extend our consideration of commutative subalgebras (rays) in different
representations of the $W_{1+\infty}$ algebra to the elliptic Hall algebra (or,
equivalently, to the Ding-Iohara-Miki (DIM) algebra
$U_{q,t}(\widehat{\widehat{\mathfrak{gl}}}_1)$). Its advantage is that it
possesses the Miki automorphism, which makes all commutative rays equivalent.
Integrable systems associated with these rays become finite-difference and,
apart from the trigonometric Ruijsenaars system not too much familiar. We
concentrate on the simplest many-body and Fock representations, and derive
explicit formulas for all generators of the elliptic Hall algebra $e_{n,m}$. In
the one-body representation, they differ just by normalization from
$z^nq^{m\hat D}$ of the $W_{1+\infty}$ Lie algebra, and, in the $N$-body case,
they are non-trivially generalized to monomials of the Cherednik operators with
action restricted to symmetric polynomials. In the Fock representation, the
resulting operators are expressed through auxiliary polynomials of $n$
variables, which define weights in the residues formulas. We also discuss
$q,t$-deformation of matrix models associated with constructed commutative
subalgebras.
| [
{
"created": "Mon, 24 Jun 2024 14:46:47 GMT",
"version": "v1"
}
] | 2024-06-25 | [
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
],
[
"Popolitov",
"A.",
""
]
] | We extend our consideration of commutative subalgebras (rays) in different representations of the $W_{1+\infty}$ algebra to the elliptic Hall algebra (or, equivalently, to the Ding-Iohara-Miki (DIM) algebra $U_{q,t}(\widehat{\widehat{\mathfrak{gl}}}_1)$). Its advantage is that it possesses the Miki automorphism, which makes all commutative rays equivalent. Integrable systems associated with these rays become finite-difference and, apart from the trigonometric Ruijsenaars system not too much familiar. We concentrate on the simplest many-body and Fock representations, and derive explicit formulas for all generators of the elliptic Hall algebra $e_{n,m}$. In the one-body representation, they differ just by normalization from $z^nq^{m\hat D}$ of the $W_{1+\infty}$ Lie algebra, and, in the $N$-body case, they are non-trivially generalized to monomials of the Cherednik operators with action restricted to symmetric polynomials. In the Fock representation, the resulting operators are expressed through auxiliary polynomials of $n$ variables, which define weights in the residues formulas. We also discuss $q,t$-deformation of matrix models associated with constructed commutative subalgebras. |
hep-th/9806108 | Tamiaki Yoneya | Y. Okawa and T. Yoneya (Univ. of Tokyo, Komaba) | Multi-Body Interactions of D-Particles in Supergravity and Matrix Theory | 38 pages, no figures, a few minor typos are corrected | Nucl.Phys. B538 (1999) 67-99 | 10.1016/S0550-3213(98)00700-7 | UT-KOMABA/98-13 | hep-th | null | We present detailed analyses of the 3-body interactions of D-particles from
both sides of 11 dimensional supergravity and Matrix theory. In supergravity,
we derive a complete expression for the classical bosonic effective action for
D-particles including 2-and 3-body interaction terms. In Matrix theory, we
compute 1-particle irreducible contributions to the eikonal phase shift in the
two-loop approximation. The results precisely agree with the predictions from
supergravity and thus provide a strong support to the discrete light-cone
interpretation of the Matrix-theory conjecture as a possible nonperturbative
definition of M-theory.
| [
{
"created": "Mon, 15 Jun 1998 09:23:57 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Jun 1998 03:58:14 GMT",
"version": "v2"
},
{
"created": "Wed, 17 Jun 1998 06:26:38 GMT",
"version": "v3"
},
{
"created": "Fri, 19 Jun 1998 08:51:46 GMT",
"version": "v4"
}
] | 2009-10-31 | [
[
"Okawa",
"Y.",
"",
"Univ. of Tokyo, Komaba"
],
[
"Yoneya",
"T.",
"",
"Univ. of Tokyo, Komaba"
]
] | We present detailed analyses of the 3-body interactions of D-particles from both sides of 11 dimensional supergravity and Matrix theory. In supergravity, we derive a complete expression for the classical bosonic effective action for D-particles including 2-and 3-body interaction terms. In Matrix theory, we compute 1-particle irreducible contributions to the eikonal phase shift in the two-loop approximation. The results precisely agree with the predictions from supergravity and thus provide a strong support to the discrete light-cone interpretation of the Matrix-theory conjecture as a possible nonperturbative definition of M-theory. |
hep-th/9611016 | Michael P. Mattis | N. Dorey (Swansea), V.V. Khoze (Durham), M.P. Mattis (Los Alamos) | On N=2 Supersymmetric QCD with 4 Flavors | 20 pp, uses harvmac.tex, reference added | Nucl.Phys. B492 (1997) 607-622 | 10.1016/S0550-3213(97)00132-6 | null | hep-th hep-ph | null | Seiberg and Witten's proposed solution of N=2 SQCD with N_c=2 and N_F=4 is
known to conflict with instanton calculations in three distinct ways. Here we
show how to resolve all three discrepancies, simply by reparametrizing the
elliptic curve in terms of quantities $\tau^0_{eff}$ and $\tilde{u}$ rather
than $\tau$ and $u = < Tr A^2 > $. SL(2,Z) invariance of the curve is
preserved. However, there is now an infinite ambiguity in the relation between
$\tau^0_{eff}$ and $\tau$ and between $\tilde{u}$ and $u$, corresponding to an
infinite number of unknown coefficients in the instanton expansion. Thus the
reinterpreted curve (unlike the cases N_F<4) no longer determines the quantum
modulus u as a function of the classical VEV a.
| [
{
"created": "Mon, 4 Nov 1996 23:48:10 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Nov 1996 19:43:13 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Dorey",
"N.",
"",
"Swansea"
],
[
"Khoze",
"V. V.",
"",
"Durham"
],
[
"Mattis",
"M. P.",
"",
"Los Alamos"
]
] | Seiberg and Witten's proposed solution of N=2 SQCD with N_c=2 and N_F=4 is known to conflict with instanton calculations in three distinct ways. Here we show how to resolve all three discrepancies, simply by reparametrizing the elliptic curve in terms of quantities $\tau^0_{eff}$ and $\tilde{u}$ rather than $\tau$ and $u = < Tr A^2 > $. SL(2,Z) invariance of the curve is preserved. However, there is now an infinite ambiguity in the relation between $\tau^0_{eff}$ and $\tau$ and between $\tilde{u}$ and $u$, corresponding to an infinite number of unknown coefficients in the instanton expansion. Thus the reinterpreted curve (unlike the cases N_F<4) no longer determines the quantum modulus u as a function of the classical VEV a. |
2308.01865 | Raj Patil | Manoj K. Mandal, Pierpaolo Mastrolia, Hector O. Silva, Raj Patil, Jan
Steinhoff | Renormalizing Love: tidal effects at the third post-Newtonian order | 27 pages, 3 figures, 1 table; matches the published version. arXiv
admin note: text overlap with arXiv:2304.02030 | JHEP 02 (2024), 188 | 10.1007/JHEP02(2024)188 | HU-EP-23/43-RTG | hep-th astro-ph.HE gr-qc | http://creativecommons.org/licenses/by/4.0/ | We present the conservative effective two-body Hamiltonian at the third order
in the post-Newtonian expansion with gravitoelectric quadrupolar dynamical
tidal-interactions. Our derivation of the effective two-body Lagrangian is
based on the diagrammatic effective field theory approach and it involves
Feynman integrals up to three loops, which are evaluated within the dimensional
regularization scheme. The elimination of the divergent terms occurring in the
effective Lagrangian requires the addition of counterterms to ensure finite
observables, thereby introducing a renormalization group flow to the
post-adiabatic Love number. As a limiting case of the renormalized dynamical
effective Hamiltonian, we also derive the effective Hamiltonian for adiabatic
tides, and, in this regime, calculate the binding energy for a circular orbit,
and the scattering angle in a hyperbolic scattering.
| [
{
"created": "Thu, 3 Aug 2023 16:40:41 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Feb 2024 08:39:22 GMT",
"version": "v2"
}
] | 2024-02-28 | [
[
"Mandal",
"Manoj K.",
""
],
[
"Mastrolia",
"Pierpaolo",
""
],
[
"Silva",
"Hector O.",
""
],
[
"Patil",
"Raj",
""
],
[
"Steinhoff",
"Jan",
""
]
] | We present the conservative effective two-body Hamiltonian at the third order in the post-Newtonian expansion with gravitoelectric quadrupolar dynamical tidal-interactions. Our derivation of the effective two-body Lagrangian is based on the diagrammatic effective field theory approach and it involves Feynman integrals up to three loops, which are evaluated within the dimensional regularization scheme. The elimination of the divergent terms occurring in the effective Lagrangian requires the addition of counterterms to ensure finite observables, thereby introducing a renormalization group flow to the post-adiabatic Love number. As a limiting case of the renormalized dynamical effective Hamiltonian, we also derive the effective Hamiltonian for adiabatic tides, and, in this regime, calculate the binding energy for a circular orbit, and the scattering angle in a hyperbolic scattering. |
hep-th/9709014 | Neil Lambert | P.S. Howe, N.D. Lambert and P.C. West | The Self-Dual String Soliton | 21 pages phyzzx. The discussion of the supersymmetry transformations
and the fivebrane equations of motion has been significantly extended. Some
references have been added. The results are the same as the previous version | Nucl.Phys. B515 (1998) 203-216 | 10.1016/S0550-3213(97)00750-5 | KCL-TH-97-51 | hep-th | null | We obtain a BPS soliton of the M theory fivebrane's equations of motion
representing a supersymmetric self-dual string. The resulting solution is then
dimensionally reduced and used to obtain 0-brane and (p-2)-brane solitons on
D-p-branes.
| [
{
"created": "Mon, 1 Sep 1997 18:15:30 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Sep 1997 17:31:01 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Howe",
"P. S.",
""
],
[
"Lambert",
"N. D.",
""
],
[
"West",
"P. C.",
""
]
] | We obtain a BPS soliton of the M theory fivebrane's equations of motion representing a supersymmetric self-dual string. The resulting solution is then dimensionally reduced and used to obtain 0-brane and (p-2)-brane solitons on D-p-branes. |
1106.1901 | Gabor Takacs | G. Feher and G. Takacs | Sine-Gordon form factors in finite volume | LaTeX2e file, 28 pages, 13 eps figures. v2: a reference added, intro
slightly changed | Nucl.Phys.B852:441-467,2011 | 10.1016/j.nuclphysb.2011.06.020 | ITP-Budapest Report No. 651 | hep-th cond-mat.other hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compare form factors in sine-Gordon theory, obtained via the bootstrap, to
finite volume matrix elements computed using the truncated conformal space
approach. For breather form factors, this is essentially a straightforward
application of a previously developed formalism that describes the volume
dependence of operator matrix elements up to corrections exponentially decaying
with the volume. In the case of solitons, it is necessary to generalize the
formalism to include effects of non-diagonal scattering. In some cases it is
also necessary to take into account some of the exponential corrections
(so-called mu-terms) to get agreement with the numerical data. For almost all
matrix elements the comparison is a success, with the puzzling exception of
some breather matrix elements that contain disconnected pieces. We also give a
short discussion of the implications of the observed behaviour of mu-terms on
the determination of operator matrix elements from finite volume data, as
occurs e.g. in the context of lattice field theory.
| [
{
"created": "Thu, 9 Jun 2011 20:00:08 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Jun 2011 21:25:38 GMT",
"version": "v2"
}
] | 2011-08-09 | [
[
"Feher",
"G.",
""
],
[
"Takacs",
"G.",
""
]
] | We compare form factors in sine-Gordon theory, obtained via the bootstrap, to finite volume matrix elements computed using the truncated conformal space approach. For breather form factors, this is essentially a straightforward application of a previously developed formalism that describes the volume dependence of operator matrix elements up to corrections exponentially decaying with the volume. In the case of solitons, it is necessary to generalize the formalism to include effects of non-diagonal scattering. In some cases it is also necessary to take into account some of the exponential corrections (so-called mu-terms) to get agreement with the numerical data. For almost all matrix elements the comparison is a success, with the puzzling exception of some breather matrix elements that contain disconnected pieces. We also give a short discussion of the implications of the observed behaviour of mu-terms on the determination of operator matrix elements from finite volume data, as occurs e.g. in the context of lattice field theory. |
hep-th/0107204 | Norisuke Sakai | Nobuhito Maru, Norisuke Sakai, Yutaka Sakamura and Ryo Sugisaka | Simple SUSY Breaking Mechanism by Coexisting Walls | 43 pages, latex, 7 figures | Nucl.Phys.B616:47-84,2001 | 10.1016/S0550-3213(01)00435-7 | TIT/HEP--467, UT-939 | hep-th hep-ph | null | A SUSY breaking mechanism with no messenger fields is proposed. We assume
that our world is on a domain wall and SUSY is broken only by the coexistence
of another wall with some distance from our wall. We find an ${\cal N}=1$ model
in four dimensions which admits an exact solution of a stable non-BPS
configuration of two walls and studied its properties explicitly. We work out
how various soft SUSY breaking terms can arise in our framework.
Phenomenological implications are briefly discussed. We also find that
effective SUSY breaking scale becomes exponentially small as the distance
between two walls grows.
| [
{
"created": "Tue, 24 Jul 2001 06:37:09 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Sep 2001 01:19:22 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Maru",
"Nobuhito",
""
],
[
"Sakai",
"Norisuke",
""
],
[
"Sakamura",
"Yutaka",
""
],
[
"Sugisaka",
"Ryo",
""
]
] | A SUSY breaking mechanism with no messenger fields is proposed. We assume that our world is on a domain wall and SUSY is broken only by the coexistence of another wall with some distance from our wall. We find an ${\cal N}=1$ model in four dimensions which admits an exact solution of a stable non-BPS configuration of two walls and studied its properties explicitly. We work out how various soft SUSY breaking terms can arise in our framework. Phenomenological implications are briefly discussed. We also find that effective SUSY breaking scale becomes exponentially small as the distance between two walls grows. |
hep-th/0312012 | Andrei G. Bytsko | Andrei Bytsko, Anastasia Doikou | Thermodynamics and conformal properties of XXZ chains with alternating
spins | 28 pages, LaTeX2e | J.Phys.A37:4465-4492,2004 | 10.1088/0305-4470/37/16/001 | null | hep-th math-ph math.MP nlin.SI | null | The quantum periodic XXZ chain with alternating spins is studied. The
properties of the related R-matrix and Hamiltonians are discussed. A compact
expression for the ground state energy is obtained. The corresponding conformal
anomaly is found via the finite-size computations and also by means of the
Bethe ansatz method. In the presence of an external magnetic field, the
magnetic susceptibility is derived. The results are also generalized to the
case of a chain containing several different spins.
| [
{
"created": "Mon, 1 Dec 2003 17:23:08 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Bytsko",
"Andrei",
""
],
[
"Doikou",
"Anastasia",
""
]
] | The quantum periodic XXZ chain with alternating spins is studied. The properties of the related R-matrix and Hamiltonians are discussed. A compact expression for the ground state energy is obtained. The corresponding conformal anomaly is found via the finite-size computations and also by means of the Bethe ansatz method. In the presence of an external magnetic field, the magnetic susceptibility is derived. The results are also generalized to the case of a chain containing several different spins. |
0804.1369 | Carlos Farina | M. J. Neves, C. A. A. de Carvalho, C. Farina and M. V. Cougo-Pinto | Primitively divergent diagrams in $\kappa$-deformed scalar field with
quartic self-interaction | null | J.Phys.A43:105402,2010 | 10.1088/1751-8113/43/10/105402 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We obtain the primitively divergent diagrams in $\kappa$-deformed scalar
field in four-dimensional spacetime with quartic self-interaction in order to
investigate the effect of the fundamental length $q=1/(2\kappa)$ on such
diagrams. Thanks to $\kappa$-deformation, we find that the dimensionally
regularized forms of the diagrams lead to finite results in the limit of
space-time dimension four. The effect of the deformation appears as a
displacement of the poles in the complex plane.
| [
{
"created": "Tue, 8 Apr 2008 21:22:19 GMT",
"version": "v1"
}
] | 2010-04-08 | [
[
"Neves",
"M. J.",
""
],
[
"de Carvalho",
"C. A. A.",
""
],
[
"Farina",
"C.",
""
],
[
"Cougo-Pinto",
"M. V.",
""
]
] | We obtain the primitively divergent diagrams in $\kappa$-deformed scalar field in four-dimensional spacetime with quartic self-interaction in order to investigate the effect of the fundamental length $q=1/(2\kappa)$ on such diagrams. Thanks to $\kappa$-deformation, we find that the dimensionally regularized forms of the diagrams lead to finite results in the limit of space-time dimension four. The effect of the deformation appears as a displacement of the poles in the complex plane. |
1602.07159 | Rafael Augusto Couceiro Correa | P. H. R. S. Moraes, G. Ribeiro, R. A. C. Correa | A transition from a decelerated to an accelerated phase of the universe
expansion from the simplest non-trivial polynomial function of T in the
f(R,T) formalism | null | null | 10.1007/s10509-016-2788-y | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we present cosmological solutions from the simplest non-trivial
$T$-dependence in $f(R,T)$ theory of gravity, with $R$ and $T$ standing for the
Ricci scalar and trace of the energy-momentum tensor, respectively. Although
such an approach yields a highly non-linear differential equation for the scale
factor, we show that it is possible to obtain analytical solutions for the
cosmological parameters. For some values of the free parameters, the model is
able to predict a transition from a decelerated to an accelerated expansion of
the universe.
| [
{
"created": "Tue, 23 Feb 2016 14:18:17 GMT",
"version": "v1"
}
] | 2016-06-29 | [
[
"Moraes",
"P. H. R. S.",
""
],
[
"Ribeiro",
"G.",
""
],
[
"Correa",
"R. A. C.",
""
]
] | In this work we present cosmological solutions from the simplest non-trivial $T$-dependence in $f(R,T)$ theory of gravity, with $R$ and $T$ standing for the Ricci scalar and trace of the energy-momentum tensor, respectively. Although such an approach yields a highly non-linear differential equation for the scale factor, we show that it is possible to obtain analytical solutions for the cosmological parameters. For some values of the free parameters, the model is able to predict a transition from a decelerated to an accelerated expansion of the universe. |
0907.2140 | Yu. M. Zinoviev | Yu. M. Zinoviev | Towards frame-like gauge invariant formulation for massive mixed
symmetry bosonic fields. II. General Young tableau with two rows | 22 pages, 11 LaTeX pictures | Nucl.Phys.B826:490-510,2010 | 10.1016/j.nuclphysb.2009.08.019 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we complete our construction of frame-like gauge invariant
description for massive mixed symmetry tensor fields corresponding to arbitrary
Young tableau with two rows started in [1]. We consider general massive theory
in (A)dS spaces with arbitrary cosmological constant as well as all special
limits which exist both in de Sitter and in anti-de Sitter spaces.
| [
{
"created": "Mon, 13 Jul 2009 11:34:09 GMT",
"version": "v1"
}
] | 2009-11-23 | [
[
"Zinoviev",
"Yu. M.",
""
]
] | In this paper we complete our construction of frame-like gauge invariant description for massive mixed symmetry tensor fields corresponding to arbitrary Young tableau with two rows started in [1]. We consider general massive theory in (A)dS spaces with arbitrary cosmological constant as well as all special limits which exist both in de Sitter and in anti-de Sitter spaces. |
1703.10563 | Seyed Faroogh Moosavian | Seyed Faroogh Moosavian, Roji Pius | Hyperbolic Geometry of Superstring Perturbation Theory | v2: 68+appendices+references=94 pages; references added; typos fixed | Fortsch.Phys. 68 (2020) 6, 1900078 | 10.1002/prop.201900078 | null | hep-th gr-qc math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | We explore the hyperbolic structure of the RNS formulation of perturbative
superstring theory. The aim is to provide a systematic method to explicitly
compute on-shell and off-shell closed superstring amplitudes with an arbitrary
number of external states and loops. Using hyperbolic geometry, we construct
gluing-compatible off-shell string measures by giving a set of
gluing-compatible local coordinates around external punctures and a
gluing-compatible distribution of picture-changing operators. These amplitudes
satisfy the required off-shell factorization property. This provides a
formalism within which string-theory amplitudes can be computed explicitly once
the corresponding string measures are expressed in terms of certain coordinates
on Teichm\"uller space, the so-called Fenchel-Nielsen coordinates.
| [
{
"created": "Thu, 30 Mar 2017 16:53:49 GMT",
"version": "v1"
},
{
"created": "Sun, 3 Feb 2019 05:35:29 GMT",
"version": "v2"
},
{
"created": "Fri, 9 Dec 2022 22:24:05 GMT",
"version": "v3"
}
] | 2022-12-13 | [
[
"Moosavian",
"Seyed Faroogh",
""
],
[
"Pius",
"Roji",
""
]
] | We explore the hyperbolic structure of the RNS formulation of perturbative superstring theory. The aim is to provide a systematic method to explicitly compute on-shell and off-shell closed superstring amplitudes with an arbitrary number of external states and loops. Using hyperbolic geometry, we construct gluing-compatible off-shell string measures by giving a set of gluing-compatible local coordinates around external punctures and a gluing-compatible distribution of picture-changing operators. These amplitudes satisfy the required off-shell factorization property. This provides a formalism within which string-theory amplitudes can be computed explicitly once the corresponding string measures are expressed in terms of certain coordinates on Teichm\"uller space, the so-called Fenchel-Nielsen coordinates. |
hep-th/0503200 | Niklas Beisert | N. Beisert, V. A. Kazakov, K. Sakai, K. Zarembo | Complete Spectrum of Long Operators in N=4 SYM at One Loop | Dedicated to the memory of Hans Bethe, 50 pages, v2: references
added, minor corrections, v3: reference, typo, to appear in JHEP | JHEP 0507:030,2005 | 10.1088/1126-6708/2005/07/030 | ITEP-TH-23/05, LPTENS-05/12, PUTP-2153, UUITP-05/05 | hep-th nlin.SI | null | We construct the complete spectral curve for an arbitrary local operator,
including fermions and covariant derivatives, of one-loop N=4 gauge theory in
the thermodynamic limit. This curve perfectly reproduces the Frolov-Tseytlin
limit of the full spectral curve of classical strings on AdS_5xS^5 derived in
hep-th/0502226. To complete the comparison we introduce stacks, novel bound
states of roots of different flavors which arise in the thermodynamic limit of
the corresponding Bethe ansatz equations. We furthermore show the equivalence
of various types of Bethe equations for the underlying su(2,2|4) superalgebra,
in particular of the type "Beauty" and "Beast".
| [
{
"created": "Fri, 25 Mar 2005 20:29:59 GMT",
"version": "v1"
},
{
"created": "Sun, 10 Apr 2005 23:24:39 GMT",
"version": "v2"
},
{
"created": "Fri, 15 Jul 2005 13:46:19 GMT",
"version": "v3"
}
] | 2011-03-23 | [
[
"Beisert",
"N.",
""
],
[
"Kazakov",
"V. A.",
""
],
[
"Sakai",
"K.",
""
],
[
"Zarembo",
"K.",
""
]
] | We construct the complete spectral curve for an arbitrary local operator, including fermions and covariant derivatives, of one-loop N=4 gauge theory in the thermodynamic limit. This curve perfectly reproduces the Frolov-Tseytlin limit of the full spectral curve of classical strings on AdS_5xS^5 derived in hep-th/0502226. To complete the comparison we introduce stacks, novel bound states of roots of different flavors which arise in the thermodynamic limit of the corresponding Bethe ansatz equations. We furthermore show the equivalence of various types of Bethe equations for the underlying su(2,2|4) superalgebra, in particular of the type "Beauty" and "Beast". |
hep-th/0207226 | Simeon Hellerman | Simeon Hellerman | Lattice Gauge Theories Have Gravitational Duals | Minor changes, typos fixed and references added | null | null | SU-ITP-02/31 | hep-th | null | In this paper we examine a certain threebrane solution of type IIB string
theory whose long-wavelength dynamics are those of a supersymmetric gauge
theory in 2+1 continuous and 1 discrete dimension, all of infinite extent.
Low-energy processes in this background are controlled by dimensional
deconstruction, a strict limit in which gravity decouples but the lattice
spacing stays finite. Relating this limit to the near-horizon limit of our
solution we obtain an exact, continuum gravitational dual of a lattice gauge
theory with nonzero lattice spacing. H-flux in the translationally invariant
solution encodes the spatial discreteness of the gauge theory, and we relate
the cutoff on allowed momenta to a giant graviton effect in the bulk.
| [
{
"created": "Thu, 25 Jul 2002 19:56:52 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Jul 2002 01:00:43 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Hellerman",
"Simeon",
""
]
] | In this paper we examine a certain threebrane solution of type IIB string theory whose long-wavelength dynamics are those of a supersymmetric gauge theory in 2+1 continuous and 1 discrete dimension, all of infinite extent. Low-energy processes in this background are controlled by dimensional deconstruction, a strict limit in which gravity decouples but the lattice spacing stays finite. Relating this limit to the near-horizon limit of our solution we obtain an exact, continuum gravitational dual of a lattice gauge theory with nonzero lattice spacing. H-flux in the translationally invariant solution encodes the spatial discreteness of the gauge theory, and we relate the cutoff on allowed momenta to a giant graviton effect in the bulk. |
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