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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2101.03363
|
Filip P\v{r}eu\v{c}il
|
Filip P\v{r}eu\v{c}il
|
Scalar-Vector Effective Field Theories from Soft Limits
|
7 pages, 2 figures; collaboration note added
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We give an overview of the implementation of the soft-bootstrap method
applied to the landscape of theories where the Special Galileon couples to a
massless vector particle. We also describe the corresponding traditional
Lagrangian approach for this model, which takes into account the formal
geometrical interpretation of the Special Galileon as fluctuations of a
$D$-dimensional brane embedded in a $2D$-dimensional flat space.
|
[
{
"created": "Sat, 9 Jan 2021 14:01:53 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Jan 2021 18:37:04 GMT",
"version": "v2"
}
] |
2021-01-14
|
[
[
"Přeučil",
"Filip",
""
]
] |
We give an overview of the implementation of the soft-bootstrap method applied to the landscape of theories where the Special Galileon couples to a massless vector particle. We also describe the corresponding traditional Lagrangian approach for this model, which takes into account the formal geometrical interpretation of the Special Galileon as fluctuations of a $D$-dimensional brane embedded in a $2D$-dimensional flat space.
|
hep-th/0506259
|
Takanori Fujiwara
|
Yasushi Tenjinbayashi, Hiroshi Igarashi and Takanori Fujiwara
|
Dirac Operator Zero-modes on a Torus
|
28 pages, 2 figures
|
Annals Phys.322:460-488,2007
|
10.1016/j.aop.2006.02.013
|
IU-MSTP/69
|
hep-th
| null |
We study Dirac operator zero-modes on a torus for gauge background with
uniform field strengths. Under the basic translations of the torus coordinates
the wave functions are subject to twisted periodic conditions. In a suitable
torus coordinates the zero-mode wave functions can be related to holomorphic
functions of the complex torus coordinates. We construct the zero-mode wave
functions that satisfy the twisted periodic conditions. The chirality and the
degeneracy of the zero-modes are uniquely determined by the gauge background
and are consistent with the index theorem.
|
[
{
"created": "Thu, 30 Jun 2005 09:32:26 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Tenjinbayashi",
"Yasushi",
""
],
[
"Igarashi",
"Hiroshi",
""
],
[
"Fujiwara",
"Takanori",
""
]
] |
We study Dirac operator zero-modes on a torus for gauge background with uniform field strengths. Under the basic translations of the torus coordinates the wave functions are subject to twisted periodic conditions. In a suitable torus coordinates the zero-mode wave functions can be related to holomorphic functions of the complex torus coordinates. We construct the zero-mode wave functions that satisfy the twisted periodic conditions. The chirality and the degeneracy of the zero-modes are uniquely determined by the gauge background and are consistent with the index theorem.
|
hep-th/9506085
|
Cangemi
|
Daniel Cangemi, Gerald Dunne and Eric D'Hoker
|
Effective Energy for QED$_{2+1}$ with Semi-Localized Static Magnetic
Fields: A Solvable Model
|
11 pages, no figure, RevTeX
|
Phys.Rev.D52:3163-3167,1995
|
10.1103/PhysRevD.52.R3163
|
UCLA/95/TEP/21 and UCONN-95-3
|
hep-th cond-mat
| null |
We evaluate the exact ${\rm QED}_{2+1}$ effective energy for charged spin
zero and spin half fields in the presence of a family of static magnetic field
profiles localized in a strip of width $\lambda$. The exact result yields an
infinite set of relations between the terms in the derivative expansion of the
effective energy for a general magnetic field. Upon addition of the standard
Maxwell magneto-static energy, the minimum energy configuration at fixed flux
corresponds to a uniform magnetic field.
|
[
{
"created": "Mon, 12 Jun 1995 22:23:53 GMT",
"version": "v1"
}
] |
2010-01-08
|
[
[
"Cangemi",
"Daniel",
""
],
[
"Dunne",
"Gerald",
""
],
[
"D'Hoker",
"Eric",
""
]
] |
We evaluate the exact ${\rm QED}_{2+1}$ effective energy for charged spin zero and spin half fields in the presence of a family of static magnetic field profiles localized in a strip of width $\lambda$. The exact result yields an infinite set of relations between the terms in the derivative expansion of the effective energy for a general magnetic field. Upon addition of the standard Maxwell magneto-static energy, the minimum energy configuration at fixed flux corresponds to a uniform magnetic field.
|
1902.11194
|
Thomas Mertens
|
Andreas Blommaert, Thomas G. Mertens, Henri Verschelde
|
Clocks and Rods in Jackiw-Teitelboim Quantum Gravity
|
37 pages + appendices, v4: improved discussion on conformal anomaly
and choice of bulk observable, added appendix on massive bulk correlators and
global conformal blocks, corrected several equations in section 5 and
appendix E, typos corrected, matches published version
|
JHEP 1909 (2019) 060
|
10.1007/JHEP09(2019)060
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We specify bulk coordinates in Jackiw-Teitelboim (JT) gravity using a
boundary-intrinsic radar definition. This allows us to study and calculate
exactly diff-invariant bulk correlation functions of matter-coupled JT gravity,
which are found to satisfy microcausality. We observe that quantum gravity
effects dominate near-horizon matter correlation functions. This shows that
quantum matter in classical curved spacetime is not a sensible model for
near-horizon matter-coupled JT gravity. This is how JT gravity, given our
choice of bulk frame, evades an information paradox. This echoes into the
quantum expectation value of the near-horizon metric, whose analysis is
extended from the disk model to the recently proposed topological completion of
JT gravity. Due to quantum effects, at distances of order the Planck length to
the horizon, a dramatic breakdown of Rindler geometry is observed.
|
[
{
"created": "Thu, 28 Feb 2019 16:25:21 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Mar 2019 15:32:21 GMT",
"version": "v2"
},
{
"created": "Tue, 7 May 2019 12:28:43 GMT",
"version": "v3"
},
{
"created": "Tue, 17 Sep 2019 13:17:59 GMT",
"version": "v4"
}
] |
2019-09-18
|
[
[
"Blommaert",
"Andreas",
""
],
[
"Mertens",
"Thomas G.",
""
],
[
"Verschelde",
"Henri",
""
]
] |
We specify bulk coordinates in Jackiw-Teitelboim (JT) gravity using a boundary-intrinsic radar definition. This allows us to study and calculate exactly diff-invariant bulk correlation functions of matter-coupled JT gravity, which are found to satisfy microcausality. We observe that quantum gravity effects dominate near-horizon matter correlation functions. This shows that quantum matter in classical curved spacetime is not a sensible model for near-horizon matter-coupled JT gravity. This is how JT gravity, given our choice of bulk frame, evades an information paradox. This echoes into the quantum expectation value of the near-horizon metric, whose analysis is extended from the disk model to the recently proposed topological completion of JT gravity. Due to quantum effects, at distances of order the Planck length to the horizon, a dramatic breakdown of Rindler geometry is observed.
|
2004.01897
|
Farid Taghinavaz
|
Farid Taghinavaz
|
Causality and Stability Conditions of a Conformal Charged Fluid
|
27 pages, 9 Figures, Comments are welcomed
| null | null | null |
hep-th hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, I study the conditions imposed on a normal charged fluid so
that the causality and stability criteria hold for this fluid. I adopt the
newly developed General Frame (GF) notion in the relativistic hydrodynamics
framework which states that hydrodynamic frames have to be fixed after applying
the stability and causality conditions. To my purpose, I take a charged
conformal matter in the flat and $3+1$ dimension to analyze better these
conditions. The causality condition is applied by looking to the asymptotic
velocity of sound hydro modes at the large wave number limit and stability
conditions are imposed by looking to the imaginary parts of hydro modes as well
as the Routh-Hurwitz criteria. By fixing some of the transports, the suitable
spaces for other ones are derived. I have observed that in a dense medium with
finite $U(1)$ charged chemical potential $\mu_0$, negative values for
transports appear and the second law of thermodynamics has not ruled out the
existence of such values. Sign of scalar transports are not limited by any
constraints and just a combination of vector transports is limited by the
second law of thermodynamic. Also numerically it is proved that the most
favorable region for transports $\tilde{\gamma}_{1, 2}$, coefficients of the
dissipative terms of the current, is of negative values.
|
[
{
"created": "Sat, 4 Apr 2020 09:30:04 GMT",
"version": "v1"
}
] |
2020-04-07
|
[
[
"Taghinavaz",
"Farid",
""
]
] |
In this paper, I study the conditions imposed on a normal charged fluid so that the causality and stability criteria hold for this fluid. I adopt the newly developed General Frame (GF) notion in the relativistic hydrodynamics framework which states that hydrodynamic frames have to be fixed after applying the stability and causality conditions. To my purpose, I take a charged conformal matter in the flat and $3+1$ dimension to analyze better these conditions. The causality condition is applied by looking to the asymptotic velocity of sound hydro modes at the large wave number limit and stability conditions are imposed by looking to the imaginary parts of hydro modes as well as the Routh-Hurwitz criteria. By fixing some of the transports, the suitable spaces for other ones are derived. I have observed that in a dense medium with finite $U(1)$ charged chemical potential $\mu_0$, negative values for transports appear and the second law of thermodynamics has not ruled out the existence of such values. Sign of scalar transports are not limited by any constraints and just a combination of vector transports is limited by the second law of thermodynamic. Also numerically it is proved that the most favorable region for transports $\tilde{\gamma}_{1, 2}$, coefficients of the dissipative terms of the current, is of negative values.
|
1709.01409
|
Elias Koorambas
|
Elias Koorambas (NCSR), Germano Resconi
|
The topological terms of interacting harmonic gravitational connections
within the Maxwell-like gauge approach of gravity
| null | null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we base on the formalism of Symbolic Gauge Theory in the case
of General relativity; we calculate the Feynman diagrams for the interaction
between harmonic gravitational connections in the topological field theory.
These calculations provide insights to interactions between gravity and dark
energy. They could, therefore, have important repercussions for current
cosmological problems.
|
[
{
"created": "Tue, 5 Sep 2017 14:24:41 GMT",
"version": "v1"
}
] |
2017-09-06
|
[
[
"Koorambas",
"Elias",
"",
"NCSR"
],
[
"Resconi",
"Germano",
""
]
] |
In this paper, we base on the formalism of Symbolic Gauge Theory in the case of General relativity; we calculate the Feynman diagrams for the interaction between harmonic gravitational connections in the topological field theory. These calculations provide insights to interactions between gravity and dark energy. They could, therefore, have important repercussions for current cosmological problems.
|
1710.04941
|
Rio Saitou
|
Rio Saitou
|
Generic analysis of kinetically driven inflation
|
11 pages, Appendices are added
|
Phys. Rev. D 97, 083511 (2018)
|
10.1103/PhysRevD.97.083511
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We perform a model-independent analysis of kinetically driven inflation (KDI)
which (partially) includes Generalized G-inflation and Ghost inflation. We
evaluate the background evolution splitting into the inflationary attractor and
the perturbation around it. We also consider the quantum fluctuation of scalar
mode with a usual scaling and derive the spectral index ignoring the
contribution from the second order products of slow-roll parameters. Using
these formalisms, we find that within our generic framework, the models of KDI
which possess the shift symmetry of scalar field cannot create the quantum
fluctuation consistent to the observation. Breaking the shift symmetry, we
obtain a few essential conditions for viable models of KDI associated with the
graceful exit.
|
[
{
"created": "Fri, 13 Oct 2017 14:26:47 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Mar 2018 08:48:06 GMT",
"version": "v2"
}
] |
2018-04-25
|
[
[
"Saitou",
"Rio",
""
]
] |
We perform a model-independent analysis of kinetically driven inflation (KDI) which (partially) includes Generalized G-inflation and Ghost inflation. We evaluate the background evolution splitting into the inflationary attractor and the perturbation around it. We also consider the quantum fluctuation of scalar mode with a usual scaling and derive the spectral index ignoring the contribution from the second order products of slow-roll parameters. Using these formalisms, we find that within our generic framework, the models of KDI which possess the shift symmetry of scalar field cannot create the quantum fluctuation consistent to the observation. Breaking the shift symmetry, we obtain a few essential conditions for viable models of KDI associated with the graceful exit.
|
hep-th/0603237
|
Saswat Sarangi
|
Saswat Sarangi, S.-H. Henry Tye
|
A Note on the Quantum Creation of Universes
|
29 pages, 4 figures
| null | null | null |
hep-th
| null |
We elucidate the nature of the correction to the Hartle-Hawking wavefunction
presented in hep-th/$0505104$ and hep-th/$0406107$. The correction comes from
the quantum fluctuation of the metric that spontaneously breaks the classical
deSitter symmetry. This converts the tunneling from nothing to a deSitter-like
universe via a $S^{4}$ instantion to that via a barrel instanton, which is
bounded from below. Its generalization to 10 dimensional spacetime allows us to
find the preferred sites in the stringy cosmic landscape. We comment on how
some of the problems of the Hartle-Hawking wavefunction are avoided with the
new modified wavefunction of the universe, when applied to the spontaneous
creation of an inflationary universe. We also summarize our arguments on the
validity of the Hartle-Hawking wavefunction in the minisuperspace
approximation, as opposed to the WKB formula suggested by Linde and Vilenkin.
|
[
{
"created": "Thu, 30 Mar 2006 20:57:08 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Sarangi",
"Saswat",
""
],
[
"Tye",
"S. -H. Henry",
""
]
] |
We elucidate the nature of the correction to the Hartle-Hawking wavefunction presented in hep-th/$0505104$ and hep-th/$0406107$. The correction comes from the quantum fluctuation of the metric that spontaneously breaks the classical deSitter symmetry. This converts the tunneling from nothing to a deSitter-like universe via a $S^{4}$ instantion to that via a barrel instanton, which is bounded from below. Its generalization to 10 dimensional spacetime allows us to find the preferred sites in the stringy cosmic landscape. We comment on how some of the problems of the Hartle-Hawking wavefunction are avoided with the new modified wavefunction of the universe, when applied to the spontaneous creation of an inflationary universe. We also summarize our arguments on the validity of the Hartle-Hawking wavefunction in the minisuperspace approximation, as opposed to the WKB formula suggested by Linde and Vilenkin.
|
1712.09054
|
Gaurav Narain
|
Gaurav Narain and Tianjun Li
|
Ultraviolet complete dark energy model
|
published version: 11 pages, two columns, minor modification of
title, text and references added, typos fixed
|
Phys. Rev. D 97, 083523 (2018)
|
10.1103/PhysRevD.97.083523
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a local phenomenological model to explain a non-local gravity
scenario which has been proposed to address dark energy issues. This non-local
gravity action has been seen to fit the data as well as $\Lambda$-CDM and
therefore demands a more fundamental local treatment. The induced gravity model
coupled with higher-derivative gravity is exploited for this proposal, as this
perturbatively renormalizable model has a well-defined ultraviolet (UV)
description where ghosts are evaded. We consider a generalised version of this
model where we consider two coupled scalar fields and their non-minimal
coupling with gravity. In this simple model, one of the scalar field acquires a
Vacuum Expectation Value (VEV), thereby inducing a mass for one of the scalar
fields and generating Newton's constant. The induced mass however is seen to be
always above the running energy scale thereby leading to its decoupling. The
residual theory after decoupling becomes a platform for driving the accelerated
expansion under certain conditions. Integrating out the residual scalar
generates a non-local gravity action. The leading term of which is the
non-local gravity action used to fit the data of dark energy.
|
[
{
"created": "Mon, 25 Dec 2017 11:02:41 GMT",
"version": "v1"
},
{
"created": "Wed, 2 May 2018 03:04:51 GMT",
"version": "v2"
}
] |
2018-05-09
|
[
[
"Narain",
"Gaurav",
""
],
[
"Li",
"Tianjun",
""
]
] |
We consider a local phenomenological model to explain a non-local gravity scenario which has been proposed to address dark energy issues. This non-local gravity action has been seen to fit the data as well as $\Lambda$-CDM and therefore demands a more fundamental local treatment. The induced gravity model coupled with higher-derivative gravity is exploited for this proposal, as this perturbatively renormalizable model has a well-defined ultraviolet (UV) description where ghosts are evaded. We consider a generalised version of this model where we consider two coupled scalar fields and their non-minimal coupling with gravity. In this simple model, one of the scalar field acquires a Vacuum Expectation Value (VEV), thereby inducing a mass for one of the scalar fields and generating Newton's constant. The induced mass however is seen to be always above the running energy scale thereby leading to its decoupling. The residual theory after decoupling becomes a platform for driving the accelerated expansion under certain conditions. Integrating out the residual scalar generates a non-local gravity action. The leading term of which is the non-local gravity action used to fit the data of dark energy.
|
0903.4734
|
Jyotirmoy Bhattacharya
|
Jyotirmoy Bhattacharya and Subhaneil Lahiri
|
Lumps of plasma in arbitrary dimensions
|
32 pages, 10 figures; v2: Some figures are modified and a few
references added.
|
JHEP 1008:073,2010
|
10.1007/JHEP08(2010)073
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use the AdS/CFT correspondence in a regime in which the field theory
reduces to fluid dynamics to construct an infinite class of new black objects
in Scherk-Schwarz compactified AdS(d+2) space. Our configurations are dual to
black objects that generalize black rings and have horizon topology S^(d-n) x
T^n, for n less than or equal to (d-1)/2. Locally our fluid configurations are
plasma sheets that curve around into tori whose radii are large compared to the
thickness of the sheets (the ratio of these radii constitutes a small parameter
that permits the perturbative construction of these configurations). These
toroidal configurations are stabilized by angular momentum. We study solutions
whose dual horizon topologies are S^3 x S^1, S^4 x S^1 and S^3 x T^2 in detail;
in particular we investigate the thermodynamic properties of these objects. We
also present a formal general construction of the most general stationary
configuration of fluids with boundaries that solve the d-dimensional
relativistic Navier-Stokes equation.
|
[
{
"created": "Fri, 27 Mar 2009 05:00:17 GMT",
"version": "v1"
},
{
"created": "Thu, 6 May 2010 04:54:13 GMT",
"version": "v2"
}
] |
2010-11-08
|
[
[
"Bhattacharya",
"Jyotirmoy",
""
],
[
"Lahiri",
"Subhaneil",
""
]
] |
We use the AdS/CFT correspondence in a regime in which the field theory reduces to fluid dynamics to construct an infinite class of new black objects in Scherk-Schwarz compactified AdS(d+2) space. Our configurations are dual to black objects that generalize black rings and have horizon topology S^(d-n) x T^n, for n less than or equal to (d-1)/2. Locally our fluid configurations are plasma sheets that curve around into tori whose radii are large compared to the thickness of the sheets (the ratio of these radii constitutes a small parameter that permits the perturbative construction of these configurations). These toroidal configurations are stabilized by angular momentum. We study solutions whose dual horizon topologies are S^3 x S^1, S^4 x S^1 and S^3 x T^2 in detail; in particular we investigate the thermodynamic properties of these objects. We also present a formal general construction of the most general stationary configuration of fluids with boundaries that solve the d-dimensional relativistic Navier-Stokes equation.
|
1901.06770
|
Francisco A. Brito
|
F. A. Brito and F. F. Santos
|
Black branes in asymptotically Lifshitz spacetime and viscosity/entropy
ratios in Horndeski gravity
|
7 pages, no figures, 1 table. Version published in EPL
|
EPL, 129 (2020) 50003
|
10.1209/0295-5075/129/50003
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate black brane solutions in asymptotically Lifshitz spacetime in
3+1-dimensional Horndeski gravity, which admit a critical exponent fixed at
$z=1/2$. The cosmological constant depends on $z$ as $\Lambda=-(1+2z)/L^{2}$.
We compute the shear viscosity in the 2+1-dimensional dual boundary field
theory via holographic correspondence. We investigate the violation of the
bound for viscosity to entropy density ratio of $\eta/s\geq1/(4\pi)$ at
$z=1/2$.
|
[
{
"created": "Mon, 21 Jan 2019 02:31:50 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Apr 2020 11:13:27 GMT",
"version": "v2"
}
] |
2020-04-06
|
[
[
"Brito",
"F. A.",
""
],
[
"Santos",
"F. F.",
""
]
] |
We investigate black brane solutions in asymptotically Lifshitz spacetime in 3+1-dimensional Horndeski gravity, which admit a critical exponent fixed at $z=1/2$. The cosmological constant depends on $z$ as $\Lambda=-(1+2z)/L^{2}$. We compute the shear viscosity in the 2+1-dimensional dual boundary field theory via holographic correspondence. We investigate the violation of the bound for viscosity to entropy density ratio of $\eta/s\geq1/(4\pi)$ at $z=1/2$.
|
1904.12782
|
Maxim Zabzine
|
Guido Festuccia, Jian Qiu, Jacob Winding and Maxim Zabzine
|
Transversally Elliptic Complex and Cohomological Field Theory
|
88 pages, typos corrected, the final version to be published in JGP
| null |
10.1016/j.geomphys.2020.103786
| null |
hep-th math.DG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This work is a continuation of our previous paper arXiv:1812.06473 where we
have constructed ${\cal N}=2$ supersymmetric Yang-Mills theory on 4D manifolds
with a Killing vector field with isolated fixed points. In this work we expand
on the mathematical aspects of the theory, with a particular focus on its
nature as a cohomological field theory. The well-known Donaldson-Witten theory
is a twisted version of ${\cal N}=2$ SYM and can also be constructed using the
Atiyah-Jeffrey construction. This theory is concerned with the moduli space of
anti-self-dual gauge connections, with a deformation theory controlled by an
elliptic complex. More generally, supersymmetry requires considering
configurations that look like either instantons or anti-instantons around fixed
points, which we call flipping instantons. The flipping instantons of our 4D
${\cal N}=2$ theory are derived from the 5D contact instantons. The novelty is
that their deformation theory is controlled by a transversally elliptic
complex, which we demonstrate here. We repeat the Atiyah-Jeffrey construction
in the equivariant setting and arrive at the Lagrangian (an equivariant Euler
class in the relevant field space) that was also obtained from our previous
work arXiv:1812.06473. We show that the transversal ellipticity of the
deformation complex is crucial for the non-degeneracy of the Lagrangian and the
calculability of the theory. Our construction is valid on a large class of
quasi toric 4 manifolds.
|
[
{
"created": "Mon, 29 Apr 2019 15:49:23 GMT",
"version": "v1"
},
{
"created": "Sun, 28 Jun 2020 07:26:18 GMT",
"version": "v2"
}
] |
2020-07-15
|
[
[
"Festuccia",
"Guido",
""
],
[
"Qiu",
"Jian",
""
],
[
"Winding",
"Jacob",
""
],
[
"Zabzine",
"Maxim",
""
]
] |
This work is a continuation of our previous paper arXiv:1812.06473 where we have constructed ${\cal N}=2$ supersymmetric Yang-Mills theory on 4D manifolds with a Killing vector field with isolated fixed points. In this work we expand on the mathematical aspects of the theory, with a particular focus on its nature as a cohomological field theory. The well-known Donaldson-Witten theory is a twisted version of ${\cal N}=2$ SYM and can also be constructed using the Atiyah-Jeffrey construction. This theory is concerned with the moduli space of anti-self-dual gauge connections, with a deformation theory controlled by an elliptic complex. More generally, supersymmetry requires considering configurations that look like either instantons or anti-instantons around fixed points, which we call flipping instantons. The flipping instantons of our 4D ${\cal N}=2$ theory are derived from the 5D contact instantons. The novelty is that their deformation theory is controlled by a transversally elliptic complex, which we demonstrate here. We repeat the Atiyah-Jeffrey construction in the equivariant setting and arrive at the Lagrangian (an equivariant Euler class in the relevant field space) that was also obtained from our previous work arXiv:1812.06473. We show that the transversal ellipticity of the deformation complex is crucial for the non-degeneracy of the Lagrangian and the calculability of the theory. Our construction is valid on a large class of quasi toric 4 manifolds.
|
2101.07264
|
Jerome P. Gauntlett
|
Igal Arav, K. C. Matthew Cheung, Jerome P. Gauntlett, Matthew M.
Roberts and Christopher Rosen
|
A new family of $AdS_4$ S-folds in type IIB string theory
|
56 pages, 13 figures; very minor changes, published version
| null |
10.1007/JHEP05(2021)222
|
Imperial/TP/2021/JG/01; ICCUB-20-XXX
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct infinite new classes of $AdS_4\times S^1\times S^5$ solutions of
type IIB string theory which have non-trivial $SL(2,\mathbb{Z})$ monodromy
along the $S^1$ direction. The solutions are supersymmetric and holographically
dual, generically, to $\mathcal{N}=1$ SCFTs in $d=3$. The solutions are first
constructed as $AdS_4\times \mathbb{R}$ solutions in $D=5$ $SO(6)$ gauged
supergravity and then uplifted to $D=10$. Unlike the known $AdS_4\times
\mathbb{R}$ S-fold solutions, there is no continuous symmetry associated with
the $\mathbb{R}$ direction. The solutions all arise as limiting cases of Janus
solutions of $d=4$, $\mathcal{N}=4$ SYM theory which are supported both by a
different value of the coupling constant on either side of the interface, as
well as by fermion and boson mass deformations. As special cases, the
construction recovers three known S-fold constructions, preserving
$\mathcal{N}=1,2$ and 4 supersymmetry, as well as a recently constructed
$\mathcal{N}=1$ $AdS_4\times S^1\times S^5$ solution (not S-folded). We also
present some novel "one-sided Janus" solutions that are non-singular.
|
[
{
"created": "Mon, 18 Jan 2021 19:00:00 GMT",
"version": "v1"
},
{
"created": "Sun, 23 May 2021 14:46:27 GMT",
"version": "v2"
}
] |
2023-01-11
|
[
[
"Arav",
"Igal",
""
],
[
"Cheung",
"K. C. Matthew",
""
],
[
"Gauntlett",
"Jerome P.",
""
],
[
"Roberts",
"Matthew M.",
""
],
[
"Rosen",
"Christopher",
""
]
] |
We construct infinite new classes of $AdS_4\times S^1\times S^5$ solutions of type IIB string theory which have non-trivial $SL(2,\mathbb{Z})$ monodromy along the $S^1$ direction. The solutions are supersymmetric and holographically dual, generically, to $\mathcal{N}=1$ SCFTs in $d=3$. The solutions are first constructed as $AdS_4\times \mathbb{R}$ solutions in $D=5$ $SO(6)$ gauged supergravity and then uplifted to $D=10$. Unlike the known $AdS_4\times \mathbb{R}$ S-fold solutions, there is no continuous symmetry associated with the $\mathbb{R}$ direction. The solutions all arise as limiting cases of Janus solutions of $d=4$, $\mathcal{N}=4$ SYM theory which are supported both by a different value of the coupling constant on either side of the interface, as well as by fermion and boson mass deformations. As special cases, the construction recovers three known S-fold constructions, preserving $\mathcal{N}=1,2$ and 4 supersymmetry, as well as a recently constructed $\mathcal{N}=1$ $AdS_4\times S^1\times S^5$ solution (not S-folded). We also present some novel "one-sided Janus" solutions that are non-singular.
|
hep-th/0608003
|
Anatoly Konechny
|
Kevin Graham, Anatoly Konechny and Joerg Teschner
|
On the time-dependent description for the decay of unstable D-branes
|
37 pages, Latex, 2 figures; v2: Acknowledgement added
|
JHEP 0702:011,2007
|
10.1088/1126-6708/2007/02/011
| null |
hep-th
| null |
We discuss how to describe time-dependent phenomena in string theory like the
decay of unstable D-branes with the help of the world-sheet formulation. It is
shown in a nontrivial well-controlled example that the coupling of the tachyons
to propagating on-shell modes which escape to infinity can lead to
time-dependent relaxation into a stationary final state. The final state
corresponds to a fixed point of the RG flow generated by the relevant field
from which the tachyon vertex operator is constructed. On the way we set up a
fairly general formalism for the description of slow time-dependent phenomena
with the help of conformal perturbation theory on the world-sheet.
|
[
{
"created": "Mon, 31 Jul 2006 22:40:36 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Nov 2006 09:19:27 GMT",
"version": "v2"
},
{
"created": "Tue, 28 Nov 2006 10:41:29 GMT",
"version": "v3"
}
] |
2010-02-03
|
[
[
"Graham",
"Kevin",
""
],
[
"Konechny",
"Anatoly",
""
],
[
"Teschner",
"Joerg",
""
]
] |
We discuss how to describe time-dependent phenomena in string theory like the decay of unstable D-branes with the help of the world-sheet formulation. It is shown in a nontrivial well-controlled example that the coupling of the tachyons to propagating on-shell modes which escape to infinity can lead to time-dependent relaxation into a stationary final state. The final state corresponds to a fixed point of the RG flow generated by the relevant field from which the tachyon vertex operator is constructed. On the way we set up a fairly general formalism for the description of slow time-dependent phenomena with the help of conformal perturbation theory on the world-sheet.
|
hep-th/9710212
|
Bernard de Wit
|
P. Claus, B. de Wit, M. Faux, B. Kleijn, R. Siebelink, P. Termonia
|
N=2 Supergravity Lagrangians with Vector-Tensor Multiplets
|
LaTeX, 28 pages
|
Nucl.Phys. B512 (1998) 148-178
|
10.1016/S0550-3213(97)00781-5
|
KUL-TF-97/24, THU-97/26, HUB-EP-97/73, ULB-TH-97/18, ITP-SB-97-63,
DFTT-62/97
|
hep-th
| null |
We discuss the coupling of vector-tensor multiplets to N=2 supergravity.
|
[
{
"created": "Tue, 28 Oct 1997 11:29:03 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Claus",
"P.",
""
],
[
"de Wit",
"B.",
""
],
[
"Faux",
"M.",
""
],
[
"Kleijn",
"B.",
""
],
[
"Siebelink",
"R.",
""
],
[
"Termonia",
"P.",
""
]
] |
We discuss the coupling of vector-tensor multiplets to N=2 supergravity.
|
hep-th/0212292
|
Bayram Tekin
|
S. Deser and Bayram Tekin
|
Energy in Generic Higher Curvature Gravity Theories
|
18 pages, typos corrected, one footnote added, to appear in Phys.
Rev. D
|
Phys.Rev.D67:084009,2003
|
10.1103/PhysRevD.67.084009
|
BRX-TH-509
|
hep-th gr-qc
| null |
We define and compute the energy of higher curvature gravity theories in
arbitrary dimensions. Generically, these theories admit constant curvature
vacua (even in the absence of an explicit cosmological constant), and
asymptotically constant curvature solutions with non-trivial energy properties.
For concreteness, we study quadratic curvature models in detail. Among them,
the one whose action is the square of the traceless Ricci tensor always has
zero energy, unlike conformal (Weyl) gravity. We also study the string-inspired
Einstein-Gauss-Bonnet model and show that both its flat and Anti-de-Sitter
vacua are stable.
|
[
{
"created": "Mon, 23 Dec 2002 20:44:53 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Jan 2003 18:48:23 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Deser",
"S.",
""
],
[
"Tekin",
"Bayram",
""
]
] |
We define and compute the energy of higher curvature gravity theories in arbitrary dimensions. Generically, these theories admit constant curvature vacua (even in the absence of an explicit cosmological constant), and asymptotically constant curvature solutions with non-trivial energy properties. For concreteness, we study quadratic curvature models in detail. Among them, the one whose action is the square of the traceless Ricci tensor always has zero energy, unlike conformal (Weyl) gravity. We also study the string-inspired Einstein-Gauss-Bonnet model and show that both its flat and Anti-de-Sitter vacua are stable.
|
0908.3486
|
Daniel Grumiller
|
Daniel Grumiller and Peter van Nieuwenhuizen
|
Holographic counterterms from local supersymmetry without boundary
conditions
|
9 pages, v2: added 3 Refs
|
Phys.Lett.B682:462-465,2010
|
10.1016/j.physletb.2009.11.022
|
MIT-CTP 4011, TUW 09-03, YITP-SB-09-04
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show in some lower-dimensional supergravity models that the holographic
counterterms which are needed in the AdS/CFT correspondence to make the theory
finite, coincide with the counterterms that are needed to make the action
supersymmetric without imposing any boundary conditions on the fields.
|
[
{
"created": "Mon, 24 Aug 2009 20:01:51 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Sep 2009 07:07:03 GMT",
"version": "v2"
}
] |
2009-12-22
|
[
[
"Grumiller",
"Daniel",
""
],
[
"van Nieuwenhuizen",
"Peter",
""
]
] |
We show in some lower-dimensional supergravity models that the holographic counterterms which are needed in the AdS/CFT correspondence to make the theory finite, coincide with the counterterms that are needed to make the action supersymmetric without imposing any boundary conditions on the fields.
|
2402.04679
|
Christof Wetterich
|
C. Wetterich
|
Field transformations in functional integral, effective action and
functional flow equations
|
Extension of some arguments, new references, 34 pages
| null | null | null |
hep-th cond-mat.str-el gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Field transformations for the quantum effective action lead to different
pictures of a given physical situation, as describing a given evolution of the
universe by different geometries. Field transformations for functional flow
equations can reveal important physical features, as the appearance of bound
states. They also allow for technical simplifications. We make a critical
assessment of the virtues and shortcomings of different versions of field
transformations. Key issues are demonstrated by the quantum field theory for
scalars with a field-dependent coefficient of the kinetic term. Our findings
confirm the principle of field relativity for gravity and cosmology based on
the quantum effective action.
|
[
{
"created": "Wed, 7 Feb 2024 09:09:21 GMT",
"version": "v1"
},
{
"created": "Sat, 27 Jul 2024 08:04:15 GMT",
"version": "v2"
}
] |
2024-07-30
|
[
[
"Wetterich",
"C.",
""
]
] |
Field transformations for the quantum effective action lead to different pictures of a given physical situation, as describing a given evolution of the universe by different geometries. Field transformations for functional flow equations can reveal important physical features, as the appearance of bound states. They also allow for technical simplifications. We make a critical assessment of the virtues and shortcomings of different versions of field transformations. Key issues are demonstrated by the quantum field theory for scalars with a field-dependent coefficient of the kinetic term. Our findings confirm the principle of field relativity for gravity and cosmology based on the quantum effective action.
|
2301.00233
|
Henrik Johansson
|
Maor Ben-Shahar, Lucia Garozzo and Henrik Johansson
|
Lagrangians Manifesting Color-Kinematics Duality in the NMHV Sector of
Yang-Mills
|
26 pages + refs; v2: published version
| null | null |
UUITP-62/22, NORDITA 2022-155
|
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
Scattering amplitudes in Yang-Mills theory are known to exhibit kinematic
structures which hint to an underlying kinematic algebra that is dual to the
gauge group color algebra. This color-kinematics duality is still poorly
understood in terms of conventional Feynman rules, or from a Lagrangian
formalism. In this work, we present explicit Lagrangians whose Feynman rules
generate duality-satisfying tree-level BCJ numerators, to any multiplicity in
the next-to-MHV sector of pure Yang Mills theory. Our Lagrangians make use of
at most three pairs of auxiliary fields (2,1,0-forms) -- surprisingly few
compared to previous attempts of Lagrangians at low multiplicities. To restrict
the Lagrangian freedom it is necessary to make several non-trivial assumptions
regarding field content, kinetic terms, and interactions, which we discuss in
some detail. Future progress likely hinges on relaxing these assumptions.
|
[
{
"created": "Sat, 31 Dec 2022 15:55:41 GMT",
"version": "v1"
},
{
"created": "Sun, 31 Dec 2023 17:44:41 GMT",
"version": "v2"
}
] |
2024-01-02
|
[
[
"Ben-Shahar",
"Maor",
""
],
[
"Garozzo",
"Lucia",
""
],
[
"Johansson",
"Henrik",
""
]
] |
Scattering amplitudes in Yang-Mills theory are known to exhibit kinematic structures which hint to an underlying kinematic algebra that is dual to the gauge group color algebra. This color-kinematics duality is still poorly understood in terms of conventional Feynman rules, or from a Lagrangian formalism. In this work, we present explicit Lagrangians whose Feynman rules generate duality-satisfying tree-level BCJ numerators, to any multiplicity in the next-to-MHV sector of pure Yang Mills theory. Our Lagrangians make use of at most three pairs of auxiliary fields (2,1,0-forms) -- surprisingly few compared to previous attempts of Lagrangians at low multiplicities. To restrict the Lagrangian freedom it is necessary to make several non-trivial assumptions regarding field content, kinetic terms, and interactions, which we discuss in some detail. Future progress likely hinges on relaxing these assumptions.
|
0909.0160
|
Frans Klinkhamer
|
E. Kant, F.R. Klinkhamer, M. Schreck
|
Lorentz violation and black-hole thermodynamics: Compton scattering
process
|
14 pages; v4: published version in one-column style and with expanded
references
|
Phys.Lett.B682:316-321,2009
|
10.1016/j.physletb.2009.11.020
|
KA-TP-13-2009
|
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A Lorentz-noninvariant modification of quantum electrodynamics (QED) is
considered, which has photons described by the nonbirefringent sector of
modified Maxwell theory and electrons described by the standard Dirac theory.
These photons and electrons are taken to propagate and interact in a
Schwarzschild spacetime background. For appropriate Lorentz-violating
parameters, the photons have an effective horizon lying outside the
Schwarzschild horizon. A particular type of Compton scattering event, taking
place between these two horizons (in the photonic ergoregion) and ultimately
decreasing the mass of the black hole, is found to have a nonzero probability.
These events perhaps allow for a violation of the generalized second law of
thermodynamics in the Lorentz-noninvariant theory considered.
|
[
{
"created": "Tue, 1 Sep 2009 19:16:03 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Sep 2009 17:40:42 GMT",
"version": "v2"
},
{
"created": "Wed, 11 Nov 2009 14:13:45 GMT",
"version": "v3"
},
{
"created": "Sun, 22 Nov 2009 14:10:24 GMT",
"version": "v4"
}
] |
2009-12-04
|
[
[
"Kant",
"E.",
""
],
[
"Klinkhamer",
"F. R.",
""
],
[
"Schreck",
"M.",
""
]
] |
A Lorentz-noninvariant modification of quantum electrodynamics (QED) is considered, which has photons described by the nonbirefringent sector of modified Maxwell theory and electrons described by the standard Dirac theory. These photons and electrons are taken to propagate and interact in a Schwarzschild spacetime background. For appropriate Lorentz-violating parameters, the photons have an effective horizon lying outside the Schwarzschild horizon. A particular type of Compton scattering event, taking place between these two horizons (in the photonic ergoregion) and ultimately decreasing the mass of the black hole, is found to have a nonzero probability. These events perhaps allow for a violation of the generalized second law of thermodynamics in the Lorentz-noninvariant theory considered.
|
1212.0281
|
Paul Chesler
|
Allan Adams, Paul M. Chesler and Hong Liu
|
Holographic Vortex Liquids and Superfluid Turbulence
|
23 pages, 7 figures. Minor corrections made. Movies and supplementary
material available at http://turbulent.lns.mit.edu/Superfluid
| null | null | null |
hep-th cond-mat.quant-gas cond-mat.supr-con gr-qc physics.flu-dyn
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Superfluid turbulence, often referred to as quantum turbulence, is a
fascinating phenomenon for which a satisfactory theoretical framework is
lacking. Holographic duality provides a systematic new approach to studying
quantum turbulence by mapping the dynamics of certain quantum theories onto the
dynamics of classical gravity. We use this gravitational description to
numerically construct turbulent flows in a holographic superfluid in two
spatial dimensions. We find that the superfluid kinetic energy spectrum obeys
the Kolmogorov -5/3 scaling law, as it does for turbulent flows in normal
fluids. We trace this scaling to a direct energy cascade by injecting energy at
long wavelengths and watching it flow to a short-distance scale set by the
vortex core size, where dissipation by vortex annihilation and vortex drag
becomes efficient. This is in sharp contrast with the inverse energy cascade of
normal fluid turbulence in two dimensions. We also demonstrate that the
microscopic dissipation spectrum has a simple geometric interpretation.
|
[
{
"created": "Mon, 3 Dec 2012 04:09:24 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Dec 2012 20:20:25 GMT",
"version": "v2"
}
] |
2012-12-20
|
[
[
"Adams",
"Allan",
""
],
[
"Chesler",
"Paul M.",
""
],
[
"Liu",
"Hong",
""
]
] |
Superfluid turbulence, often referred to as quantum turbulence, is a fascinating phenomenon for which a satisfactory theoretical framework is lacking. Holographic duality provides a systematic new approach to studying quantum turbulence by mapping the dynamics of certain quantum theories onto the dynamics of classical gravity. We use this gravitational description to numerically construct turbulent flows in a holographic superfluid in two spatial dimensions. We find that the superfluid kinetic energy spectrum obeys the Kolmogorov -5/3 scaling law, as it does for turbulent flows in normal fluids. We trace this scaling to a direct energy cascade by injecting energy at long wavelengths and watching it flow to a short-distance scale set by the vortex core size, where dissipation by vortex annihilation and vortex drag becomes efficient. This is in sharp contrast with the inverse energy cascade of normal fluid turbulence in two dimensions. We also demonstrate that the microscopic dissipation spectrum has a simple geometric interpretation.
|
2111.03355
|
Mikel Sanchez Garitaonandia
|
Yago Bea, Jorge Casalderrey-Solana, Thanasis Giannakopoulos, David
Mateos, Mikel Sanchez-Garitaonandia and Miguel Zilh\~ao
|
Domain Collisions
|
24 pages, 23 figures
| null |
10.1007/JHEP06(2022)025
|
HIP-2021-34/TH
|
hep-th gr-qc hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We use holography to study collisions of phase domains formed in a
four-dimensional, strongly-coupled gauge theory with a first-order, thermal
phase transition. We find three qualitatively different dynamical regimes
depending on the collision velocity. For low velocities the domains slow down
before the collision and subsequently merge and relax to equilibrium. For
intermediate velocities no slow down is present before the merger. For high
enough velocities the domains can collide and break apart several times before
they finally merge. These features leave an imprint on the time evolution of
the entropy of the system, which we compute from the area of the dual horizon
on the gravity side.
|
[
{
"created": "Fri, 5 Nov 2021 09:54:07 GMT",
"version": "v1"
}
] |
2022-06-22
|
[
[
"Bea",
"Yago",
""
],
[
"Casalderrey-Solana",
"Jorge",
""
],
[
"Giannakopoulos",
"Thanasis",
""
],
[
"Mateos",
"David",
""
],
[
"Sanchez-Garitaonandia",
"Mikel",
""
],
[
"Zilhão",
"Miguel",
""
]
] |
We use holography to study collisions of phase domains formed in a four-dimensional, strongly-coupled gauge theory with a first-order, thermal phase transition. We find three qualitatively different dynamical regimes depending on the collision velocity. For low velocities the domains slow down before the collision and subsequently merge and relax to equilibrium. For intermediate velocities no slow down is present before the merger. For high enough velocities the domains can collide and break apart several times before they finally merge. These features leave an imprint on the time evolution of the entropy of the system, which we compute from the area of the dual horizon on the gravity side.
|
hep-th/9409038
| null |
C.R. Hagen
|
Unification of the Soluble Two-dimensional vector coupling models
|
10 pages
|
Phys.Rev. D55 (1997) 1021-1025
|
10.1103/PhysRevD.55.1021
|
UR-1382, ER-40685-831
|
hep-th
| null |
The general theory of a massless fermion coupled to a massive vector meson in
two dimensions is formulated and solved to obtain the complete set of Green's
functions. Both vector and axial vector couplings are included. In addition to
the boson mass and the two coupling constants, a coefficient which denotes a
particular current definition is required for a unique specification of the
model.
The resulting four parameter theory and its solution are shown to reduce in
appropriate limits to all the known soluble models, including in particular the
Schwinger model and its axial vector variant.
|
[
{
"created": "Wed, 7 Sep 1994 20:32:22 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Hagen",
"C. R.",
""
]
] |
The general theory of a massless fermion coupled to a massive vector meson in two dimensions is formulated and solved to obtain the complete set of Green's functions. Both vector and axial vector couplings are included. In addition to the boson mass and the two coupling constants, a coefficient which denotes a particular current definition is required for a unique specification of the model. The resulting four parameter theory and its solution are shown to reduce in appropriate limits to all the known soluble models, including in particular the Schwinger model and its axial vector variant.
|
hep-th/9808038
|
Joachim Rahmfeld
|
R. Kallosh and J. Rahmfeld
|
The GS String Action on AdS_5 x S^5
|
LaTex, 8 pages
|
Phys.Lett. B443 (1998) 143-146
|
10.1016/S0370-2693(98)01281-7
| null |
hep-th
| null |
We present a simple form of the Type IIB string action on $AdS_5\times S^5$.
The result is achieved by fixing $\kappa$-symmetry in the Killing spinor gauge
defined by the projector of the Killing spinor of the D3 brane. We show
explicitly that in this gauge the superspace is greatly simplified which is the
crucial ingredient for the simple string action.
|
[
{
"created": "Thu, 6 Aug 1998 23:44:09 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Aug 1998 03:44:26 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Kallosh",
"R.",
""
],
[
"Rahmfeld",
"J.",
""
]
] |
We present a simple form of the Type IIB string action on $AdS_5\times S^5$. The result is achieved by fixing $\kappa$-symmetry in the Killing spinor gauge defined by the projector of the Killing spinor of the D3 brane. We show explicitly that in this gauge the superspace is greatly simplified which is the crucial ingredient for the simple string action.
|
hep-th/0201160
|
Sim
|
V.M.Simulik, I.Yu.Krivsky
|
Slightly generalized Maxwell classical electrodynamics can be applied to
inneratomic phenomena
|
18 pages, LaTeX
|
Annales Fond.Broglie 27 (2002) 303-328
| null | null |
hep-th
| null |
In order to extend the limits of classical theory application in the
microworld some weak generalization of Maxwell electrodynamics is suggested. It
is shown that slightly generalized classical Maxwell electrodynamics can
describe the intraatomic phenomena with the same success as relativistic
quantum mechanics can do. Group-theoretical grounds for the description of
fermionic states by bosonic system are presented briefly. The advantages of
generalized electrodynamics in intraatomic region in comparison with standard
Maxwell electrodynamics are demonstrated on testing example of hydrogen atom.
We are able to obtain some results which are impossible in the framework of
standard Maxwell electrodynamics. The Sommerfeld - Dirac formula for the fine
structure of the hydrogen atom spectrum is obtained on the basis of such
Maxwell equations without appealing to the Dirac equation. The Bohr postulates
and the Lamb shift are proved to be the consequences of the equations under
consideration. The relationship of the new model with the Dirac theory is
investigated. Possible directions of unification of such electrodynamics with
gravity are mentioned.
|
[
{
"created": "Mon, 21 Jan 2002 07:48:29 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Simulik",
"V. M.",
""
],
[
"Krivsky",
"I. Yu.",
""
]
] |
In order to extend the limits of classical theory application in the microworld some weak generalization of Maxwell electrodynamics is suggested. It is shown that slightly generalized classical Maxwell electrodynamics can describe the intraatomic phenomena with the same success as relativistic quantum mechanics can do. Group-theoretical grounds for the description of fermionic states by bosonic system are presented briefly. The advantages of generalized electrodynamics in intraatomic region in comparison with standard Maxwell electrodynamics are demonstrated on testing example of hydrogen atom. We are able to obtain some results which are impossible in the framework of standard Maxwell electrodynamics. The Sommerfeld - Dirac formula for the fine structure of the hydrogen atom spectrum is obtained on the basis of such Maxwell equations without appealing to the Dirac equation. The Bohr postulates and the Lamb shift are proved to be the consequences of the equations under consideration. The relationship of the new model with the Dirac theory is investigated. Possible directions of unification of such electrodynamics with gravity are mentioned.
|
hep-th/0301246
|
Xinkai Wu
|
Hok Kong Lee and Xinkai Wu (Caltech)
|
Two-Graviton Interaction in PP-Wave Background in Matrix Theory and
Supergravity
|
28 pages, LaTex, no figures; references added, to appear in Nuclear
Physics B
|
Nucl.Phys. B665 (2003) 153-178
| null |
CALT-68-2423
|
hep-th
| null |
We compute the two-body one-loop effective action for the matrix theory in
the pp-wave background, and compare it to the effective action on the
supergravity side in the same background. Agreement is found for the effective
actions on both sides. This points to the existence of a supersymmetric
nonrenormalization theorem in the pp-wave background.
|
[
{
"created": "Thu, 30 Jan 2003 06:22:23 GMT",
"version": "v1"
},
{
"created": "Sat, 9 Aug 2003 06:37:21 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Lee",
"Hok Kong",
"",
"Caltech"
],
[
"Wu",
"Xinkai",
"",
"Caltech"
]
] |
We compute the two-body one-loop effective action for the matrix theory in the pp-wave background, and compare it to the effective action on the supergravity side in the same background. Agreement is found for the effective actions on both sides. This points to the existence of a supersymmetric nonrenormalization theorem in the pp-wave background.
|
hep-th/9403139
|
M. Yoshimura
|
M.Hotta, M.Shino, and M.Yoshimura
|
Moving Mirror Model of Hawking Evaporation
|
39 pages, TU-94-452 (Corrupted figure file has been replaced. No
change of the text.)
|
Prog.Theor.Phys. 91 (1994) 839-870
|
10.1143/ptp/91.5.839
| null |
hep-th gr-qc
| null |
The moving mirror model is designed to extract essential features of the
black hole formation and the subsequent Hawking radiation by neglecting
complication due to a finite curvature. We extend this approach to dynamically
treat back reaction against the mirror motion due to Hawking radiation. It is
found that a unique model in two spacetime dimensions exists in which Hawking
radiation completely stops and the end point of evaporation contains a
disconnected remnant. When viewed from asymptotic observers at one side of the
spacetime, quantum mechanical correlation is recovered in the end. Although the
thermal stage accompanying short range correlation may last for an arbitrarily
long period, at a much longer time scale a long tail of non-thermal correlation
is clearly detected.
|
[
{
"created": "Wed, 23 Mar 1994 07:57:04 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Mar 1994 01:57:01 GMT",
"version": "v2"
}
] |
2017-02-01
|
[
[
"Hotta",
"M.",
""
],
[
"Shino",
"M.",
""
],
[
"Yoshimura",
"M.",
""
]
] |
The moving mirror model is designed to extract essential features of the black hole formation and the subsequent Hawking radiation by neglecting complication due to a finite curvature. We extend this approach to dynamically treat back reaction against the mirror motion due to Hawking radiation. It is found that a unique model in two spacetime dimensions exists in which Hawking radiation completely stops and the end point of evaporation contains a disconnected remnant. When viewed from asymptotic observers at one side of the spacetime, quantum mechanical correlation is recovered in the end. Although the thermal stage accompanying short range correlation may last for an arbitrarily long period, at a much longer time scale a long tail of non-thermal correlation is clearly detected.
|
0802.0044
|
Changhyun Ahn
|
Changhyun Ahn
|
Meta-Stable Brane Configurations by Higher Order Polynomial
Superpotential
|
27pp, 8 figures; some footnotes added; to appear in IJMPA
|
Int.J.Mod.Phys.A24:5495-5521,2009
|
10.1142/S0217751X0904470X
|
KIAS-P08015
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct the type IIA nonsupersymmetric meta-stable brane configuration
consisting of (2k+1) NS5-branes and D4-branes where the electric gauge theory
superpotential has an order (2k+2) polynomial for the bifundamentals. We find a
rich pattern of nonsupersymmetric meta-stable states as well as the
supersymmetric stable ones. By adding the orientifold 4-plane to this brane
configuration, we also describe the intersecting brane configuration of type
IIA string theory corresponding to the meta-stable nonsupersymmetric vacua of
corresponding gauge theory.
|
[
{
"created": "Fri, 1 Feb 2008 01:42:25 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Aug 2008 05:13:01 GMT",
"version": "v2"
},
{
"created": "Sat, 14 Mar 2009 03:09:09 GMT",
"version": "v3"
}
] |
2009-11-30
|
[
[
"Ahn",
"Changhyun",
""
]
] |
We construct the type IIA nonsupersymmetric meta-stable brane configuration consisting of (2k+1) NS5-branes and D4-branes where the electric gauge theory superpotential has an order (2k+2) polynomial for the bifundamentals. We find a rich pattern of nonsupersymmetric meta-stable states as well as the supersymmetric stable ones. By adding the orientifold 4-plane to this brane configuration, we also describe the intersecting brane configuration of type IIA string theory corresponding to the meta-stable nonsupersymmetric vacua of corresponding gauge theory.
|
hep-th/0702103
|
Alberto Casas
|
B. de Carlos, J.A. Casas, A. Guarino, J.M. Moreno and O. Seto
|
Inflation in uplifted Supergravities
|
LaTeX 21 pages
|
JCAP 0705:002,2007
|
10.1088/1475-7516/2007/05/002
|
IFT-UAM/CSIC-07-07
|
hep-th
| null |
We present a model of slow-roll inflation in the context of effective
Supergravities arising from string theories. The uplifting of the potential (to
generate dS or Minkowski vacua) is provided by the D-term associated to an
anomalous U(1), in a fully consistent and gauge invariant formulation. We
develop a minimal working model which incorporates eternal topological
inflation and complies with observational constraints, avoiding the usual
obstacles to implement successful inflation ("eta problem" and initial
condition problem among others).
|
[
{
"created": "Tue, 13 Feb 2007 17:02:44 GMT",
"version": "v1"
}
] |
2009-11-13
|
[
[
"de Carlos",
"B.",
""
],
[
"Casas",
"J. A.",
""
],
[
"Guarino",
"A.",
""
],
[
"Moreno",
"J. M.",
""
],
[
"Seto",
"O.",
""
]
] |
We present a model of slow-roll inflation in the context of effective Supergravities arising from string theories. The uplifting of the potential (to generate dS or Minkowski vacua) is provided by the D-term associated to an anomalous U(1), in a fully consistent and gauge invariant formulation. We develop a minimal working model which incorporates eternal topological inflation and complies with observational constraints, avoiding the usual obstacles to implement successful inflation ("eta problem" and initial condition problem among others).
|
1912.00030
|
Minjae Cho
|
Minjae Cho
|
Open-closed Hyperbolic String Vertices
|
42 pages, 15 figures
| null |
10.1007/JHEP05(2020)046
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct a family of hyperbolic string vertices in the oriented
open-closed string field theory, generalizing the recent result on hyperbolic
closed string vertices by Costello and Zwiebach. The vertices are described by
certain bordered hyperbolic surfaces and we explain relevant collar theorems
which provide restrictions on the systolic conditions for the hyperbolic
vertices. We also give explicit descriptions of the vertices for all zero and
one-dimensional moduli spaces.
|
[
{
"created": "Fri, 29 Nov 2019 19:00:01 GMT",
"version": "v1"
}
] |
2020-06-24
|
[
[
"Cho",
"Minjae",
""
]
] |
We construct a family of hyperbolic string vertices in the oriented open-closed string field theory, generalizing the recent result on hyperbolic closed string vertices by Costello and Zwiebach. The vertices are described by certain bordered hyperbolic surfaces and we explain relevant collar theorems which provide restrictions on the systolic conditions for the hyperbolic vertices. We also give explicit descriptions of the vertices for all zero and one-dimensional moduli spaces.
|
2005.03612
|
Paolo Benincasa
|
Paolo Benincasa, Matteo Parisi
|
Positive Geometries and Differential Forms with Non-Logarithmic
Singularities I
|
47 pages, figures in Tikz
| null |
10.1007/JHEP08(2020)023
| null |
hep-th math.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Positive geometries encode the physics of scattering amplitudes in flat
space-time and the wavefunction of the universe in cosmology for a large class
of models. Their unique canonical forms, providing such quantum mechanical
observables, are characterised by having only logarithmic singularities along
all the boundaries of the positive geometry. However, physical observables have
logarithmic singularities just for a subset of theories. Thus, it becomes
crucial to understand whether a similar paradigm can underlie their structure
in more general cases. In this paper we start a systematic investigation of a
geometric-combinatorial characterisation of differential forms with
non-logarithmic singularities, focusing on projective polytopes and related
meromorphic forms with multiple poles. We introduce the notions of covariant
forms and covariant pairings. Covariant forms have poles only along the
boundaries of the given polytope; moreover, their leading Laurent coefficients
along any of the boundaries are still covariant forms on the specific boundary.
Whereas meromorphic forms in covariant pairing with a polytope are associated
to a specific (signed) triangulation, in which poles on spurious boundaries do
not cancel completely, but their order is lowered. These meromorphic forms can
be fully characterised if the polytope they are associated to is viewed as the
restriction of a higher dimensional one onto a hyperplane. The canonical form
of the latter can be mapped into a covariant form or a form in covariant
pairing via a covariant restriction. We show how the geometry of the higher
dimensional polytope determines the structure of these differential forms.
Finally, we discuss how these notions are related to Jeffrey-Kirwan residues
and cosmological polytopes.
|
[
{
"created": "Thu, 7 May 2020 17:10:35 GMT",
"version": "v1"
}
] |
2020-08-26
|
[
[
"Benincasa",
"Paolo",
""
],
[
"Parisi",
"Matteo",
""
]
] |
Positive geometries encode the physics of scattering amplitudes in flat space-time and the wavefunction of the universe in cosmology for a large class of models. Their unique canonical forms, providing such quantum mechanical observables, are characterised by having only logarithmic singularities along all the boundaries of the positive geometry. However, physical observables have logarithmic singularities just for a subset of theories. Thus, it becomes crucial to understand whether a similar paradigm can underlie their structure in more general cases. In this paper we start a systematic investigation of a geometric-combinatorial characterisation of differential forms with non-logarithmic singularities, focusing on projective polytopes and related meromorphic forms with multiple poles. We introduce the notions of covariant forms and covariant pairings. Covariant forms have poles only along the boundaries of the given polytope; moreover, their leading Laurent coefficients along any of the boundaries are still covariant forms on the specific boundary. Whereas meromorphic forms in covariant pairing with a polytope are associated to a specific (signed) triangulation, in which poles on spurious boundaries do not cancel completely, but their order is lowered. These meromorphic forms can be fully characterised if the polytope they are associated to is viewed as the restriction of a higher dimensional one onto a hyperplane. The canonical form of the latter can be mapped into a covariant form or a form in covariant pairing via a covariant restriction. We show how the geometry of the higher dimensional polytope determines the structure of these differential forms. Finally, we discuss how these notions are related to Jeffrey-Kirwan residues and cosmological polytopes.
|
hep-th/0111064
|
Adrian Rene Lugo
|
Adri\'an R. Lugo
|
A note on the non-commutative Chern-Simons model on manifolds with
boundary
|
15 pages, references added, to appear in International Journal of
Modern Physics
|
Mod.Phys.Lett. A17 (2002) 141-156
|
10.1142/S0217732302006047
| null |
hep-th
| null |
We study field theories defined in regions of the spatial non-commutative
(NC) plane with a boundary present delimiting them, concentrating in particular
on the U(1) NC Chern-Simons theory on the upper half plane. We find that
classical consistency and gauge invariance lead necessary to the introduction
of $K_0$-space of square integrable functions null together with all their
derivatives at the origin. Furthermore the requirement of closure of $K_0$
under the *-product leads to the introduction of a novel notion of the
*-product itself in regions where a boundary is present, that in turn yields
the complexification of the gauge group and to consider chiral waves in one
sense or other. The canonical quantization of the theory is sketched
identifying the physical states and the physical operators. These last ones
include ordinary NC Wilson lines starting and ending on the boundary that yield
correlation functions depending on points on the one-dimensional boundary. We
finally extend the definition of the *-product to a strip and comment on
possible relevance of these results to finite Quantum Hall systems.
|
[
{
"created": "Wed, 7 Nov 2001 15:48:33 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Dec 2001 18:10:56 GMT",
"version": "v2"
}
] |
2016-08-16
|
[
[
"Lugo",
"Adrián R.",
""
]
] |
We study field theories defined in regions of the spatial non-commutative (NC) plane with a boundary present delimiting them, concentrating in particular on the U(1) NC Chern-Simons theory on the upper half plane. We find that classical consistency and gauge invariance lead necessary to the introduction of $K_0$-space of square integrable functions null together with all their derivatives at the origin. Furthermore the requirement of closure of $K_0$ under the *-product leads to the introduction of a novel notion of the *-product itself in regions where a boundary is present, that in turn yields the complexification of the gauge group and to consider chiral waves in one sense or other. The canonical quantization of the theory is sketched identifying the physical states and the physical operators. These last ones include ordinary NC Wilson lines starting and ending on the boundary that yield correlation functions depending on points on the one-dimensional boundary. We finally extend the definition of the *-product to a strip and comment on possible relevance of these results to finite Quantum Hall systems.
|
hep-th/0612301
|
Daniele Oriti
|
Daniele Oriti
|
A quantum field theory of simplicial geometry and the emergence of
spacetime
|
10 pages, no figures; to appear in the Proceedings of the DICE 2006
Workshop (Piombino, Italy), uses IOP Conf style; v2: typos corrected, added
preprint numbers
|
J.Phys.Conf.Ser.67:012052,2007
|
10.1088/1742-6596/67/1/012052
|
SPIN-07/7, ITP-UU-07/7
|
hep-th gr-qc
| null |
We present the case for a fundamentally discrete quantum spacetime and for
Group Field Theories as a candidate consistent description of it, briefly
reviewing the key properties of the GFT formalism. We then argue that the
outstanding problem of the emergence of a continuum spacetime and of General
Relativity from fundamentally discrete quantum structures should be tackled
from a condensed matter perspective and using purely QFT methods, adapted to
the GFT context. We outline the picture of continuum spacetime as a condensed
phase of a GFT and a research programme aimed at realizing this picture in
concrete terms.
|
[
{
"created": "Fri, 29 Dec 2006 17:19:29 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Jan 2007 13:12:27 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Oriti",
"Daniele",
""
]
] |
We present the case for a fundamentally discrete quantum spacetime and for Group Field Theories as a candidate consistent description of it, briefly reviewing the key properties of the GFT formalism. We then argue that the outstanding problem of the emergence of a continuum spacetime and of General Relativity from fundamentally discrete quantum structures should be tackled from a condensed matter perspective and using purely QFT methods, adapted to the GFT context. We outline the picture of continuum spacetime as a condensed phase of a GFT and a research programme aimed at realizing this picture in concrete terms.
|
hep-th/9812226
|
Hugo Garcia Compean
|
Hugo Garcia-Compean
|
D-branes in Orbifold Singularities and Equivariant K-Theory
|
32 pages, harvmac file, no figures, version to appear in Nucl.Phys.B
|
Nucl.Phys. B557 (1999) 480-504
|
10.1016/S0550-3213(99)00270-9
|
IASSNS-HEP-98/106
|
hep-th
| null |
The study of brane-antibrane configurations in string theory leads to the
understanding of supersymmetric D$p$-branes as the bound states of higher
dimensional branes. Configurations of pairs brane-antibrane do admit in a
natural way their description in terms of K-theory. We analyze configurations
of brane-antibrane at fixed point orbifold singularities in terms of
equivariant K-theory as recently suggested by Witten. Type I and IIB fivebranes
and small instantons on ALE singularities are described in K-theoretic terms
and their relation to Kronheimer-Nakajima construction of instantons is also
provided. Finally the D-brane charge formula is reexamined in this context.
|
[
{
"created": "Wed, 23 Dec 1998 22:23:00 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Jan 1999 16:08:33 GMT",
"version": "v2"
},
{
"created": "Wed, 19 May 1999 18:07:14 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Garcia-Compean",
"Hugo",
""
]
] |
The study of brane-antibrane configurations in string theory leads to the understanding of supersymmetric D$p$-branes as the bound states of higher dimensional branes. Configurations of pairs brane-antibrane do admit in a natural way their description in terms of K-theory. We analyze configurations of brane-antibrane at fixed point orbifold singularities in terms of equivariant K-theory as recently suggested by Witten. Type I and IIB fivebranes and small instantons on ALE singularities are described in K-theoretic terms and their relation to Kronheimer-Nakajima construction of instantons is also provided. Finally the D-brane charge formula is reexamined in this context.
|
hep-th/0502032
|
Brent D. Nelson
|
Joel Giedt (1), G. L. Kane (2), Paul Langacker (3) and Brent D. Nelson
(3) ((1) U. of Toronto, (2) MCTP and U. of Michigan, (3) U. of Pennsylvania)
|
Massive Neutrinos and (Heterotic) String Theory
|
18 pages in RevTeX format. Single-column postscript version available
at http://sage.hep.upenn.edu/~bnelson/singpre.ps
|
Phys.Rev. D71 (2005) 115013
|
10.1103/PhysRevD.71.115013
|
MCTP-05-01, UPR-1106T
|
hep-th hep-ex hep-ph
| null |
String theories in principle address the origin and values of the quark and
lepton masses. Perhaps the small values of neutrino masses could be explained
generically in string theory even if it is more difficult to calculate
individual values, or perhaps some string constructions could be favored by
generating small neutrino masses. We examine this issue in the context of the
well-known three-family standard-like Z_3 heterotic orbifolds, where the theory
is well enough known to construct the corresponding operators allowed by string
selection rules, and analyze the D- and F-flatness conditions. Surprisingly, we
find that a simple see-saw mechanism does not arise. It is not clear whether
this is a property of this construction, or of orbifolds more generally, or of
string theory itself. Extended see-saw mechanisms may be allowed; more analysis
will be needed to settle that issue. We briefly speculate on their form if
allowed and on the possibility of alternatives, such as small Dirac masses and
triplet see-saws. The smallness of neutrino masses may be a powerful probe of
string constructions in general. We also find further evidence that there are
only 20 inequivalent models in this class, which affects the counting of string
vacua.
|
[
{
"created": "Wed, 2 Feb 2005 22:43:02 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Giedt",
"Joel",
"",
"U. of Toronto"
],
[
"Kane",
"G. L.",
"",
"MCTP and U. of Michigan"
],
[
"Langacker",
"Paul",
"",
"U. of Pennsylvania"
],
[
"Nelson",
"Brent D.",
"",
"U. of Pennsylvania"
]
] |
String theories in principle address the origin and values of the quark and lepton masses. Perhaps the small values of neutrino masses could be explained generically in string theory even if it is more difficult to calculate individual values, or perhaps some string constructions could be favored by generating small neutrino masses. We examine this issue in the context of the well-known three-family standard-like Z_3 heterotic orbifolds, where the theory is well enough known to construct the corresponding operators allowed by string selection rules, and analyze the D- and F-flatness conditions. Surprisingly, we find that a simple see-saw mechanism does not arise. It is not clear whether this is a property of this construction, or of orbifolds more generally, or of string theory itself. Extended see-saw mechanisms may be allowed; more analysis will be needed to settle that issue. We briefly speculate on their form if allowed and on the possibility of alternatives, such as small Dirac masses and triplet see-saws. The smallness of neutrino masses may be a powerful probe of string constructions in general. We also find further evidence that there are only 20 inequivalent models in this class, which affects the counting of string vacua.
|
0708.2012
|
Peter D'Eath
|
A.N.St.J.Farley and P.D.D'Eath
|
Relic Radiation from an Evaporating Black Hole
|
To appear in International Journal of Modern Physics D
|
Int.J.Mod.Phys.D17:1-23,2008
|
10.1142/S0218271808010621
| null |
hep-th
| null |
We present a non-string-theoretic calculation of the microcanonical entropy
of relic integer-spin Hawking radiation -- at fixed total energy $E$. The only
conserved macroscopic quantity is the total energy $E$ (the total energy of the
relic radiation). Data for a boundary-value approach, with massless,
integer-spin perturbations, are set on initial and final space-like
hypersurfaces. In the resulting 1-dimensional statistical-mechanics problem,
the real part of the (complex) time separation at spatial infinity, $T =
{\mid}T{\mid}\exp(-i\delta), \delta >0$, is the variable conjugate to the total
energy. We count the number of weak-field configurations on the final
space-like hypersurface with energy $E$. One recovers the Cardy formula and the
Bekenstein-Hawking entropy, if Re(T) is of the order of the black-hole life-
time, leading to a statistical interpretation of black-hole entropy. The
microcanonical entropy includes a logarithmic correction to the black-hole area
law, which is {\it universal} (independent of black-hole parameters). Here, the
discreteness of the energy levels is crucial. This approach is compared with
that of string theory for the transition to the fundamental-string r\'egime in
the final stages of evaporation. The squared coupling, $g^2$, regulating the
transition to a highly-excited string state and {\it vice versa}, can be
related to the angle, $\delta$, of complex-time rotation above. The
strong-coupling r\'egime corresponds to a Euclidean black hole, while the
physical limit of a Lorentzian space-time (as $ \delta \to 0_+$) corresponds to
the weak-coupling r\'egime. This resembles the transition to a highly-excited
string-like state which subsequently decays into massless particles, thereby
avoiding the naked singularity.
|
[
{
"created": "Wed, 15 Aug 2007 09:20:40 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Farley",
"A. N. St. J.",
""
],
[
"D'Eath",
"P. D.",
""
]
] |
We present a non-string-theoretic calculation of the microcanonical entropy of relic integer-spin Hawking radiation -- at fixed total energy $E$. The only conserved macroscopic quantity is the total energy $E$ (the total energy of the relic radiation). Data for a boundary-value approach, with massless, integer-spin perturbations, are set on initial and final space-like hypersurfaces. In the resulting 1-dimensional statistical-mechanics problem, the real part of the (complex) time separation at spatial infinity, $T = {\mid}T{\mid}\exp(-i\delta), \delta >0$, is the variable conjugate to the total energy. We count the number of weak-field configurations on the final space-like hypersurface with energy $E$. One recovers the Cardy formula and the Bekenstein-Hawking entropy, if Re(T) is of the order of the black-hole life- time, leading to a statistical interpretation of black-hole entropy. The microcanonical entropy includes a logarithmic correction to the black-hole area law, which is {\it universal} (independent of black-hole parameters). Here, the discreteness of the energy levels is crucial. This approach is compared with that of string theory for the transition to the fundamental-string r\'egime in the final stages of evaporation. The squared coupling, $g^2$, regulating the transition to a highly-excited string state and {\it vice versa}, can be related to the angle, $\delta$, of complex-time rotation above. The strong-coupling r\'egime corresponds to a Euclidean black hole, while the physical limit of a Lorentzian space-time (as $ \delta \to 0_+$) corresponds to the weak-coupling r\'egime. This resembles the transition to a highly-excited string-like state which subsequently decays into massless particles, thereby avoiding the naked singularity.
|
1601.07749
|
Robert Brandenberger
|
Evan McDonough, Hossein Bazrafshan Moghaddam and Robert H.
Brandenberger
|
Preheating and Entropy Perturbations in Axion Monodromy Inflation
|
14 pages, published version
| null |
10.1088/1475-7516/2016/05/012
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the preheating of gauge fields in a simple axion monodromy model and
compute the induced entropy perturbations and their effect on the curvature
fluctuations. We find that the correction to the spectrum of curvature
perturbations has a blue spectrum with index $n_s = 5/2$. Hence, these induced
modes are harmless for the observed structure of the universe. Since the
spectrum is blue, there is the danger of overproduction of primordial black
holes. However, we show that the observational constraints are easily
satisfied.
|
[
{
"created": "Thu, 28 Jan 2016 13:24:11 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Jan 2016 07:28:15 GMT",
"version": "v2"
},
{
"created": "Thu, 5 May 2016 20:58:45 GMT",
"version": "v3"
}
] |
2016-05-25
|
[
[
"McDonough",
"Evan",
""
],
[
"Moghaddam",
"Hossein Bazrafshan",
""
],
[
"Brandenberger",
"Robert H.",
""
]
] |
We study the preheating of gauge fields in a simple axion monodromy model and compute the induced entropy perturbations and their effect on the curvature fluctuations. We find that the correction to the spectrum of curvature perturbations has a blue spectrum with index $n_s = 5/2$. Hence, these induced modes are harmless for the observed structure of the universe. Since the spectrum is blue, there is the danger of overproduction of primordial black holes. However, we show that the observational constraints are easily satisfied.
|
1707.03713
|
Kevin Morand
|
Kevin Morand and Jeong-Hyuck Park
|
Classification of non-Riemannian doubled-yet-gauged spacetime
|
1+41 pages; v2) Refs added; v3) Published version; v4) Sign error in
(2.51) corrected
|
Eur. Phys. J. C (2017) 77:685
|
10.1140/epjc/s10052-018-6394-8
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Assuming $\mathbf{O}(D,D)$ covariant fields as the `fundamental' variables,
Double Field Theory can accommodate novel geometries where a Riemannian metric
cannot be defined, even locally. Here we present a complete classification of
such non-Riemannian spacetimes in terms of two non-negative integers,
$(n,\bar{n})$, $0\leq n+\bar{n}\leq D$. Upon these backgrounds, strings become
chiral and anti-chiral over $n$ and $\bar{n}$ directions respectively, while
particles and strings are frozen over the $n+\bar{n}$ directions. In
particular, we identify $(0,0)$ as Riemannian manifolds, $(1,0)$ as
non-relativistic spacetime, $(1,1)$ as Gomis-Ooguri non-relativistic string,
$(D{-1},0)$ as ultra-relativistic Carroll geometry, and $(D,0)$ as Siegel's
chiral string. Combined with a covariant Kaluza-Klein ansatz which we further
spell, $(0,1)$ leads to Newton-Cartan gravity. Alternative to the conventional
string compactifications on small manifolds, non-Riemannian spacetime such as
$D=10$, $(3,3)$ may open a new scheme of the dimensional reduction from ten to
four.
|
[
{
"created": "Wed, 12 Jul 2017 13:36:23 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Sep 2017 23:40:06 GMT",
"version": "v2"
},
{
"created": "Tue, 24 Oct 2017 06:09:27 GMT",
"version": "v3"
},
{
"created": "Fri, 12 Oct 2018 10:26:32 GMT",
"version": "v4"
}
] |
2018-12-05
|
[
[
"Morand",
"Kevin",
""
],
[
"Park",
"Jeong-Hyuck",
""
]
] |
Assuming $\mathbf{O}(D,D)$ covariant fields as the `fundamental' variables, Double Field Theory can accommodate novel geometries where a Riemannian metric cannot be defined, even locally. Here we present a complete classification of such non-Riemannian spacetimes in terms of two non-negative integers, $(n,\bar{n})$, $0\leq n+\bar{n}\leq D$. Upon these backgrounds, strings become chiral and anti-chiral over $n$ and $\bar{n}$ directions respectively, while particles and strings are frozen over the $n+\bar{n}$ directions. In particular, we identify $(0,0)$ as Riemannian manifolds, $(1,0)$ as non-relativistic spacetime, $(1,1)$ as Gomis-Ooguri non-relativistic string, $(D{-1},0)$ as ultra-relativistic Carroll geometry, and $(D,0)$ as Siegel's chiral string. Combined with a covariant Kaluza-Klein ansatz which we further spell, $(0,1)$ leads to Newton-Cartan gravity. Alternative to the conventional string compactifications on small manifolds, non-Riemannian spacetime such as $D=10$, $(3,3)$ may open a new scheme of the dimensional reduction from ten to four.
|
1412.2944
|
A. Yu. Petrov
|
A. M. Lima, J. R. Nascimento, A. Yu. Petrov, R. F. Ribeiro
|
On the gauge dependence of the effective potential for
Horava-Lifshitz-like theories
|
11 pages
|
Phys. Rev. D 91, 025027 (2015)
|
10.1103/PhysRevD.91.025027
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We calculate the one-loop effective potential for Horava-Lifshitz-like QED
with an arbitrary critical exponent within different approaches and discuss its
gauge dependence.
|
[
{
"created": "Tue, 9 Dec 2014 12:55:12 GMT",
"version": "v1"
}
] |
2015-06-23
|
[
[
"Lima",
"A. M.",
""
],
[
"Nascimento",
"J. R.",
""
],
[
"Petrov",
"A. Yu.",
""
],
[
"Ribeiro",
"R. F.",
""
]
] |
We calculate the one-loop effective potential for Horava-Lifshitz-like QED with an arbitrary critical exponent within different approaches and discuss its gauge dependence.
|
hep-th/0010131
|
Alex Kirillov
|
A. A. Kirillov
|
Does the radioactive decay obey the Poisson statistics?
|
10 pages
| null | null | null |
hep-th gr-qc
| null |
It is shown that a nontrivial quantum structure of our space at macroscopic
scales, which may exist as a relic of quantum gravity processes in the early
universe, gives rise to a new phenomenon: spontaneous origin of an interference
picture in every physical process. This explains why statistical distributions
in radioactivity measurements may be different from the Poisson distribution.
|
[
{
"created": "Tue, 17 Oct 2000 01:29:45 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Kirillov",
"A. A.",
""
]
] |
It is shown that a nontrivial quantum structure of our space at macroscopic scales, which may exist as a relic of quantum gravity processes in the early universe, gives rise to a new phenomenon: spontaneous origin of an interference picture in every physical process. This explains why statistical distributions in radioactivity measurements may be different from the Poisson distribution.
|
1508.02611
|
Maria J. Rodriguez
|
Hyeyoun Chung, Lisa Randall, Maria J. Rodriguez and Oscar Varela
|
Quasinormal ringing on the brane
|
21 pages, 5 figures; v2: A few clarifications and table added.
Version published in Class. Quant. Grav. 33 (2016) no.24, 245013
| null |
10.1088/0264-9381/33/24/245013
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
While the linear behavior of gravity in braneworld models is well understood,
much less is known about full non-linear gravitational effects. Even when they
agree at the linear level, these could be expected to distinguish braneworlds
from a lower-dimensional theory with no brane. Black holes are a good testing
ground for such studies, as they are nonlinear solutions that would be expected
to reflect the background geometry. In particular, we assess the role of black
hole quasinormal modes in gravitational experiments devised to be sensitive to
the existence of the brane, in a lower-dimensional setting where we have
analytical control. We compute quasinormal modes of brane-localized black holes
and find that they follow the entropy of the corresponding black hole. This
observation allows us to conclude that, surprisingly, the scattering problem we
consider, at least in some regimes, does not distinguish between non-linear
gravitational effects of black holes in AdS space with a brane and black holes
in a spacetime of one lower dimension.
|
[
{
"created": "Tue, 11 Aug 2015 14:34:00 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Jun 2017 13:14:29 GMT",
"version": "v2"
}
] |
2017-06-27
|
[
[
"Chung",
"Hyeyoun",
""
],
[
"Randall",
"Lisa",
""
],
[
"Rodriguez",
"Maria J.",
""
],
[
"Varela",
"Oscar",
""
]
] |
While the linear behavior of gravity in braneworld models is well understood, much less is known about full non-linear gravitational effects. Even when they agree at the linear level, these could be expected to distinguish braneworlds from a lower-dimensional theory with no brane. Black holes are a good testing ground for such studies, as they are nonlinear solutions that would be expected to reflect the background geometry. In particular, we assess the role of black hole quasinormal modes in gravitational experiments devised to be sensitive to the existence of the brane, in a lower-dimensional setting where we have analytical control. We compute quasinormal modes of brane-localized black holes and find that they follow the entropy of the corresponding black hole. This observation allows us to conclude that, surprisingly, the scattering problem we consider, at least in some regimes, does not distinguish between non-linear gravitational effects of black holes in AdS space with a brane and black holes in a spacetime of one lower dimension.
|
0912.4082
|
Delia Schwartz-Perlov
|
Jose J. Blanco-Pillado, Delia Schwartz-Perlov, and Alexander Vilenkin
|
Transdimensional Tunneling in the Multiverse
|
32 pages, 15 figures New references added
|
JCAP 1005:005,2010
|
10.1088/1475-7516/2010/05/005
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Topology-changing transitions between vacua of different effective
dimensionality are studied in the context of a 6-dimensional Einstein-Maxwell
theory. The landscape of this theory includes a $6d$ de Sitter vacuum ($dS_6$),
a number of $dS_4 \times S_2$ and $AdS_4 \times S_2$ vacua, and a number of
$AdS_2 \times S_4$ vacua. We find that compactification transitions $dS_6 \to
AdS_2 \times S_4$ occur through the nucleation of electrically charged black
hole pairs, and transitions from $dS_6$ to $dS_4 \times S_2$ and $AdS_4 \times
S_2$ occur through the nucleation of magnetically charged spherical black
branes. We identify the appropriate instantons and describe the spacetime
structure resulting from brane nucleation.
|
[
{
"created": "Mon, 21 Dec 2009 14:21:39 GMT",
"version": "v1"
},
{
"created": "Thu, 6 May 2010 18:37:29 GMT",
"version": "v2"
}
] |
2010-05-25
|
[
[
"Blanco-Pillado",
"Jose J.",
""
],
[
"Schwartz-Perlov",
"Delia",
""
],
[
"Vilenkin",
"Alexander",
""
]
] |
Topology-changing transitions between vacua of different effective dimensionality are studied in the context of a 6-dimensional Einstein-Maxwell theory. The landscape of this theory includes a $6d$ de Sitter vacuum ($dS_6$), a number of $dS_4 \times S_2$ and $AdS_4 \times S_2$ vacua, and a number of $AdS_2 \times S_4$ vacua. We find that compactification transitions $dS_6 \to AdS_2 \times S_4$ occur through the nucleation of electrically charged black hole pairs, and transitions from $dS_6$ to $dS_4 \times S_2$ and $AdS_4 \times S_2$ occur through the nucleation of magnetically charged spherical black branes. We identify the appropriate instantons and describe the spacetime structure resulting from brane nucleation.
|
hep-th/0509023
|
Rajsekhar Bhattacharyya
|
Rajsekhar Bhattacharyya and Jamila Douari
|
Brane Intersections in the Presence of a Worldvolume Electric Field
|
10 pages
|
JHEP 0512 (2005) 012
|
10.1088/1126-6708/2005/12/012
| null |
hep-th
| null |
The study of brane intersections has provided important insights into a
possible non-commutative structure of spacetime geometry. In this paper we
focus on the D1$\bot$D3 system. We compare the D1 and D3 descriptions of the
interesection and search for non-static solutions of the D3$\bot$D1 funnel
equations in the presence of a worldvolume electric field. We find that the D1
and D3 descriptions do not agree. We find time dependent solutions that are a
natural generalization of those found without the electric field.
|
[
{
"created": "Fri, 2 Sep 2005 16:50:47 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Bhattacharyya",
"Rajsekhar",
""
],
[
"Douari",
"Jamila",
""
]
] |
The study of brane intersections has provided important insights into a possible non-commutative structure of spacetime geometry. In this paper we focus on the D1$\bot$D3 system. We compare the D1 and D3 descriptions of the interesection and search for non-static solutions of the D3$\bot$D1 funnel equations in the presence of a worldvolume electric field. We find that the D1 and D3 descriptions do not agree. We find time dependent solutions that are a natural generalization of those found without the electric field.
|
hep-th/0406168
|
Juha Honkonen
|
Juha Honkonen, M.V. Komarova, M.Yu. Nalimov
|
Large-Order Asymptotes for Dynamic Models Near Equilibrium
|
19 pages
|
Nucl.Phys. B707 (2005) 493-508
|
10.1016/j.nuclphysb.2004.11.016
| null |
hep-th
| null |
Instanton analysis is applied to model A of critical dynamics. It is shown
that the static instanton of the massless $\phi^{4}$ model determines the
large-order asymptotes of the perturbation expansion of the dynamic model.
|
[
{
"created": "Mon, 21 Jun 2004 06:22:24 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Honkonen",
"Juha",
""
],
[
"Komarova",
"M. V.",
""
],
[
"Nalimov",
"M. Yu.",
""
]
] |
Instanton analysis is applied to model A of critical dynamics. It is shown that the static instanton of the massless $\phi^{4}$ model determines the large-order asymptotes of the perturbation expansion of the dynamic model.
|
1608.05019
|
Chris Lin
|
Chris L. Lin, Carlos R. Ordonez
|
Dilational Symmetry-Breaking in Thermodynamics
|
10 pages (this version is the published version)
|
J. Stat. Mech., 043109 (2017)
|
10.1088/1742-5468/aa6b2d
| null |
hep-th cond-mat.stat-mech quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using thermodynamic relations and dimensional analysis we derive a general
formula for the thermodynamical trace $2\mathcal{E}-DP$ for non-relativistic
systems and $\mathcal{E-DP}$ for relativistic systems, where $D$ is the number
of spatial dimensions, in terms of the microscopic scales of the system within
the grand canonical ensemble. We demonstrate the formula for several cases,
including anomalous systems which develop scales through dimensional
transmutation. Using this relation, we make explicit the connection between
dimensional analysis and the virial theorem. This paper is focused mainly on
the non-relativistic aspects of this relation.
|
[
{
"created": "Wed, 17 Aug 2016 17:06:48 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Aug 2016 15:29:41 GMT",
"version": "v2"
},
{
"created": "Thu, 6 Apr 2017 16:25:05 GMT",
"version": "v3"
},
{
"created": "Tue, 2 May 2017 22:19:42 GMT",
"version": "v4"
}
] |
2017-05-04
|
[
[
"Lin",
"Chris L.",
""
],
[
"Ordonez",
"Carlos R.",
""
]
] |
Using thermodynamic relations and dimensional analysis we derive a general formula for the thermodynamical trace $2\mathcal{E}-DP$ for non-relativistic systems and $\mathcal{E-DP}$ for relativistic systems, where $D$ is the number of spatial dimensions, in terms of the microscopic scales of the system within the grand canonical ensemble. We demonstrate the formula for several cases, including anomalous systems which develop scales through dimensional transmutation. Using this relation, we make explicit the connection between dimensional analysis and the virial theorem. This paper is focused mainly on the non-relativistic aspects of this relation.
|
2206.04094
|
Dmitry Ageev
|
Dmitry S. Ageev and Irina Ya. Aref'eva
|
Thermal density matrix breaks down the Page curve
|
14 pages, 2 figures
| null | null | null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we study entanglement islands and the Page curve in the
eternal four-dimensional Schwarzschild black hole surrounded by finite
temperature conformal matter. By finite temperature conformal matter we mean
the matter described by the thermal density matrix, rather than the usually
considered matter above the Fock vacuum. We take the matter and the black hole
at different temperatures and calculate the entanglement entropy for such a
setup using the s-wave approximation. As a result, we obtain that at late times
the island prescription leads to the exponential growth of the entanglement
entropy of conformal matter in thermal vacuum.
|
[
{
"created": "Wed, 8 Jun 2022 18:01:05 GMT",
"version": "v1"
}
] |
2022-06-10
|
[
[
"Ageev",
"Dmitry S.",
""
],
[
"Aref'eva",
"Irina Ya.",
""
]
] |
In this paper, we study entanglement islands and the Page curve in the eternal four-dimensional Schwarzschild black hole surrounded by finite temperature conformal matter. By finite temperature conformal matter we mean the matter described by the thermal density matrix, rather than the usually considered matter above the Fock vacuum. We take the matter and the black hole at different temperatures and calculate the entanglement entropy for such a setup using the s-wave approximation. As a result, we obtain that at late times the island prescription leads to the exponential growth of the entanglement entropy of conformal matter in thermal vacuum.
|
hep-th/0011164
|
Nicolaos Toumbas
|
V. Hubeny, L. Susskind, N. Toumbas
|
Comments Concerning the CFT Description of Small Objects in AdS
|
8 pages, no figures
| null | null | null |
hep-th
| null |
In this paper we resolve a contradiction posed in a recent paper by Horowitz
and Hubeny. The contradiction concerns the way small objects in AdS space are
described in the holographic dual CFT description.
|
[
{
"created": "Fri, 17 Nov 2000 20:59:25 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Hubeny",
"V.",
""
],
[
"Susskind",
"L.",
""
],
[
"Toumbas",
"N.",
""
]
] |
In this paper we resolve a contradiction posed in a recent paper by Horowitz and Hubeny. The contradiction concerns the way small objects in AdS space are described in the holographic dual CFT description.
|
2006.10082
|
Luca Ciambelli
|
Luca Ciambelli, Charles Marteau, P. Marios Petropoulos, Romain
Ruzziconi
|
Gauges in Three-Dimensional Gravity and Holographic Fluids
|
44 Pages, Latex, V2
| null |
10.1007/JHEP11(2020)092
|
CPHT-RR021.032020
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Solutions to Einstein's vacuum equations in three dimensions are locally
maximally symmetric. They are distinguished by their global properties and
their investigation often requires a choice of gauge. Although analyses of this
sort have been performed abundantly, several relevant questions remain. These
questions include the interplay between the standard Bondi gauge and the
Eddington--Finkelstein type of gauge used in the fluid/gravity holographic
reconstruction of these spacetimes, as well as the Fefferman--Graham gauge,
when available i.e. in anti de Sitter. The goal of the present work is to set
up a thorough dictionary for the available descriptions with emphasis on the
relativistic or Carrollian holographic fluids, which portray the bulk from the
boundary in anti-de Sitter or flat instances. A complete presentation of
residual diffeomorphisms with a preliminary study of their algebra accompanies
the situations addressed here.
|
[
{
"created": "Wed, 17 Jun 2020 18:03:09 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Oct 2020 17:45:50 GMT",
"version": "v2"
}
] |
2020-11-24
|
[
[
"Ciambelli",
"Luca",
""
],
[
"Marteau",
"Charles",
""
],
[
"Petropoulos",
"P. Marios",
""
],
[
"Ruzziconi",
"Romain",
""
]
] |
Solutions to Einstein's vacuum equations in three dimensions are locally maximally symmetric. They are distinguished by their global properties and their investigation often requires a choice of gauge. Although analyses of this sort have been performed abundantly, several relevant questions remain. These questions include the interplay between the standard Bondi gauge and the Eddington--Finkelstein type of gauge used in the fluid/gravity holographic reconstruction of these spacetimes, as well as the Fefferman--Graham gauge, when available i.e. in anti de Sitter. The goal of the present work is to set up a thorough dictionary for the available descriptions with emphasis on the relativistic or Carrollian holographic fluids, which portray the bulk from the boundary in anti-de Sitter or flat instances. A complete presentation of residual diffeomorphisms with a preliminary study of their algebra accompanies the situations addressed here.
|
hep-th/9405068
| null |
C. Bachas, C. de Calan and P.M.S. Petropoulos
|
Quenched Random Graphs
|
9 pages, report CPTH-A264.1093
|
J.Phys. A27 (1994) 6121-6128
|
10.1088/0305-4470/27/18/020
| null |
hep-th
| null |
Spin models on quenched random graphs are related to many important
optimization problems. We give a new derivation of their mean-field equations
that elucidates the role of the natural order parameter in these models.
|
[
{
"created": "Tue, 10 May 1994 15:20:42 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Bachas",
"C.",
""
],
[
"de Calan",
"C.",
""
],
[
"Petropoulos",
"P. M. S.",
""
]
] |
Spin models on quenched random graphs are related to many important optimization problems. We give a new derivation of their mean-field equations that elucidates the role of the natural order parameter in these models.
|
1207.5531
|
Linus Wulff
|
Per Sundin and Linus Wulff
|
Classical integrability and quantum aspects of the AdS(3) x S(3) x S(3)
x S(1) superstring
|
29 pages; v2: updated references and acknowledgment
| null |
10.1007/JHEP10(2012)109
|
MIFPA-12-26
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we continue the investigation of aspects of integrability of
the type IIA AdS(3) x S(3) x S(3) x S(1) and AdS(3) x S(3) x T(4) superstrings.
By constructing a one parameter family of flat connections we prove that the
Green-Schwarz string is classically integrable, at least to quadratic order in
fermions, without fixing the kappa-symmetry. We then compare the quantum
dispersion relation, fixed by integrability up to an unknown interpolating
function h(lambda), to explicit one-loop calculations on the string worldsheet.
For AdS(3) x S(3) x S(3) x S(1) the spectrum contains heavy, as well as light
and massless modes, and we find that the one-loop contribution differs
depending on how we treat these modes showing that similar regularization
ambiguities as appeared in AdS(4)/CFT(3) occur also here.
|
[
{
"created": "Mon, 23 Jul 2012 20:53:13 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Aug 2012 17:50:56 GMT",
"version": "v2"
}
] |
2015-06-05
|
[
[
"Sundin",
"Per",
""
],
[
"Wulff",
"Linus",
""
]
] |
In this paper we continue the investigation of aspects of integrability of the type IIA AdS(3) x S(3) x S(3) x S(1) and AdS(3) x S(3) x T(4) superstrings. By constructing a one parameter family of flat connections we prove that the Green-Schwarz string is classically integrable, at least to quadratic order in fermions, without fixing the kappa-symmetry. We then compare the quantum dispersion relation, fixed by integrability up to an unknown interpolating function h(lambda), to explicit one-loop calculations on the string worldsheet. For AdS(3) x S(3) x S(3) x S(1) the spectrum contains heavy, as well as light and massless modes, and we find that the one-loop contribution differs depending on how we treat these modes showing that similar regularization ambiguities as appeared in AdS(4)/CFT(3) occur also here.
|
2011.05539
|
Tomonori Ugajin
|
Tomonori Ugajin
|
Holographic R\'enyi relative divergence in JT gravity
|
15 pages
| null |
10.1007/JHEP05(2021)068
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We holographically compute the R\'enyi relative divergence $D_{\alpha}
(\rho_{+} || \rho_{-})$ between two density matrices $\rho_{+}, \; \rho_{-}$
prepared by path integrals with constant background fields $\lambda_{\pm}$
coupled to a marginal operator in JT gravity. Our calculation is non
perturbative in the difference between two sources $ \lambda_{+} -\lambda_{-}$.
When this difference is large, the bulk geometry becomes a black hole with the
maximal temperature allowed by the R\'enyi index $\alpha$. In this limit, we
find an analytic expression of the R\'enyi relative divergence, which is given
by the on shell action of the back reacted black hole plus the contribution
coming from the discontinuous change of the background field.
|
[
{
"created": "Wed, 11 Nov 2020 04:15:41 GMT",
"version": "v1"
}
] |
2021-05-26
|
[
[
"Ugajin",
"Tomonori",
""
]
] |
We holographically compute the R\'enyi relative divergence $D_{\alpha} (\rho_{+} || \rho_{-})$ between two density matrices $\rho_{+}, \; \rho_{-}$ prepared by path integrals with constant background fields $\lambda_{\pm}$ coupled to a marginal operator in JT gravity. Our calculation is non perturbative in the difference between two sources $ \lambda_{+} -\lambda_{-}$. When this difference is large, the bulk geometry becomes a black hole with the maximal temperature allowed by the R\'enyi index $\alpha$. In this limit, we find an analytic expression of the R\'enyi relative divergence, which is given by the on shell action of the back reacted black hole plus the contribution coming from the discontinuous change of the background field.
|
1310.5326
|
Yasunari Kurita
|
Yasunari Kurita and Masaru Siino
|
Teichm\"{u}ller parameters for multiple BTZ black hole spacetime
|
13 pages, 6 figures
|
Phys. Rev. D 89, 024018 (2014)
|
10.1103/PhysRevD.89.024018
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the Teichm\"{u}ller parameters for a Euclidean multiple BTZ
black hole spacetime. To induce a complex structure in the asymptotic boundary
of such a spacetime, we consider the limit in which two black holes are at a
large distance from each other. In this limit, we can approximately determine
the period matrix (i.e., the Teichm\"{u}ller parameters) for the spacetime
boundary by using a pinching parameter. The Teichm\"{u}ller parameters are
essential in describing the partition function for the boundary conformal field
theory (CFT). We provide an interpretation of the partition function for the
genus two extremal boundary CFT proposed by Gaiotto and Yin that it is relevant
to double BTZ black hole spacetime.
|
[
{
"created": "Sun, 20 Oct 2013 12:35:36 GMT",
"version": "v1"
}
] |
2014-01-22
|
[
[
"Kurita",
"Yasunari",
""
],
[
"Siino",
"Masaru",
""
]
] |
We investigate the Teichm\"{u}ller parameters for a Euclidean multiple BTZ black hole spacetime. To induce a complex structure in the asymptotic boundary of such a spacetime, we consider the limit in which two black holes are at a large distance from each other. In this limit, we can approximately determine the period matrix (i.e., the Teichm\"{u}ller parameters) for the spacetime boundary by using a pinching parameter. The Teichm\"{u}ller parameters are essential in describing the partition function for the boundary conformal field theory (CFT). We provide an interpretation of the partition function for the genus two extremal boundary CFT proposed by Gaiotto and Yin that it is relevant to double BTZ black hole spacetime.
|
2104.12661
|
Alexander Sorin
|
Viatcheslav Mukhanov, Alexander Sorin
|
On the Existence of the Coleman Instantons
|
6 pages, LaTeX, 2 figures
| null |
10.1088/1475-7516/2021/10/066
| null |
hep-th gr-qc hep-ph math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We identify infinite classes of potentials for which the Coleman instantons
do not exist. For these potentials, the decay of a false vacuum must be
described by the new instantons introduced in [7,8].
|
[
{
"created": "Mon, 26 Apr 2021 15:42:31 GMT",
"version": "v1"
}
] |
2021-11-03
|
[
[
"Mukhanov",
"Viatcheslav",
""
],
[
"Sorin",
"Alexander",
""
]
] |
We identify infinite classes of potentials for which the Coleman instantons do not exist. For these potentials, the decay of a false vacuum must be described by the new instantons introduced in [7,8].
|
hep-th/0310064
|
Wilson Oliveira
|
C. Neves and W. Oliveira
|
Clebsch parameterization from the symplectic point of view
|
4 pages, no figures, revtex4
|
Phys.Lett.A321:267-272,2004
|
10.1016/j.physleta.2003.12.039
| null |
hep-th
| null |
This work propose an alternative and systematic way to obtain a canonical
Lagrangian formulation for rotational systems. This will be done in the
symplectic framework and with the introduction of extra variables which enlarge
the phase space. In fact, this formalism provides a remarkable and new result
to compute the canonical Lagrangian formulation for rotational systems, {\it
i.e.}, the obstruction to the construction of a canonical formalism can be
solved in an arbitrary way and, consequently, a set of dynamically equivalent
Lagrangian descriptions can be computed.
|
[
{
"created": "Tue, 7 Oct 2003 14:00:45 GMT",
"version": "v1"
}
] |
2010-11-19
|
[
[
"Neves",
"C.",
""
],
[
"Oliveira",
"W.",
""
]
] |
This work propose an alternative and systematic way to obtain a canonical Lagrangian formulation for rotational systems. This will be done in the symplectic framework and with the introduction of extra variables which enlarge the phase space. In fact, this formalism provides a remarkable and new result to compute the canonical Lagrangian formulation for rotational systems, {\it i.e.}, the obstruction to the construction of a canonical formalism can be solved in an arbitrary way and, consequently, a set of dynamically equivalent Lagrangian descriptions can be computed.
|
hep-th/9403182
|
Fis. Teorica. Valladolid.
|
A. Ballesteros, F. J. Herranz, M. A. del Olmo and M. Santander
|
Poisson--Lie contractions and quantum (1+1) groups
|
7 pages
| null | null |
UVA/94-302
|
hep-th math.QA
| null |
A Poisson--Hopf algebra of smooth functions on the (1+1) Cayley--Klein groups
is constructed by using a classical $r$--matrix which is invariant under
contraction. The quantization of this algebra for the Euclidean, Galilei and
Poincar\'e cases is developed, and their duals are also computed. Contractions
on these quantum groups are studied.
|
[
{
"created": "Wed, 30 Mar 1994 13:22:00 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Ballesteros",
"A.",
""
],
[
"Herranz",
"F. J.",
""
],
[
"del Olmo",
"M. A.",
""
],
[
"Santander",
"M.",
""
]
] |
A Poisson--Hopf algebra of smooth functions on the (1+1) Cayley--Klein groups is constructed by using a classical $r$--matrix which is invariant under contraction. The quantization of this algebra for the Euclidean, Galilei and Poincar\'e cases is developed, and their duals are also computed. Contractions on these quantum groups are studied.
|
hep-th/0102034
|
Paolo Maraner
|
P. Maraner
|
Dimensional Reduction by a Two-Form (another alternative to
compactification)
|
4 pages
| null | null | null |
hep-th
| null |
It is shown that the local coupling of a higher dimensional graviton to a
closed degenerate two-form produces dimensional reduction by spontaneous
breakdown of extra-dimensional translational symmetry. Four dimensional
Poincar\'e invariance emerges as residual symmetry. As a specific example, a
six dimensional geometry coupled to a closed rank 2 two-form yields the `ground
state' $$ds^2={\rm e}^{-|\xi|^2/4l^2}\eta_{\mu\nu}dx^\mu dx^\nu+\delta_{ij}
d\xi^i d\xi^j$$ with $l$ a fundamental length scale. At low energies,
space-time reduces to four observable dimensions and general relativistic
gravity is reproduced.
|
[
{
"created": "Wed, 7 Feb 2001 09:31:45 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Maraner",
"P.",
""
]
] |
It is shown that the local coupling of a higher dimensional graviton to a closed degenerate two-form produces dimensional reduction by spontaneous breakdown of extra-dimensional translational symmetry. Four dimensional Poincar\'e invariance emerges as residual symmetry. As a specific example, a six dimensional geometry coupled to a closed rank 2 two-form yields the `ground state' $$ds^2={\rm e}^{-|\xi|^2/4l^2}\eta_{\mu\nu}dx^\mu dx^\nu+\delta_{ij} d\xi^i d\xi^j$$ with $l$ a fundamental length scale. At low energies, space-time reduces to four observable dimensions and general relativistic gravity is reproduced.
|
2112.11495
|
Olaf Hohm
|
Christoph Chiaffrino, Olaf Hohm and Allison F. Pinto
|
Homological Quantum Mechanics
|
52 pages, v2: new subsection 4.5, to appear in JHEP
| null | null |
HU-EP-21/56-RTG
|
hep-th math-ph math.MP quant-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We provide a formulation of quantum mechanics based on the cohomology of the
Batalin-Vilkovisky (BV) algebra. Focusing on quantum-mechanical systems without
gauge symmetry we introduce a homotopy retract from the chain complex of the
harmonic oscillator to finite-dimensional phase space. This induces a homotopy
transfer from the BV algebra to the algebra of functions on phase space.
Quantum expectation values for a given operator or functional are computed by
the function whose pullback gives a functional in the same cohomology class.
This statement is proved in perturbation theory by relating the perturbation
lemma to Wick's theorem. We test this method by computing two-point functions
for the harmonic oscillator for position eigenstates and coherent states.
Finally, we derive the Unruh effect, illustrating that these methods are
applicable to quantum field theory.
|
[
{
"created": "Tue, 21 Dec 2021 19:28:43 GMT",
"version": "v1"
},
{
"created": "Sat, 10 Feb 2024 12:35:22 GMT",
"version": "v2"
}
] |
2024-02-13
|
[
[
"Chiaffrino",
"Christoph",
""
],
[
"Hohm",
"Olaf",
""
],
[
"Pinto",
"Allison F.",
""
]
] |
We provide a formulation of quantum mechanics based on the cohomology of the Batalin-Vilkovisky (BV) algebra. Focusing on quantum-mechanical systems without gauge symmetry we introduce a homotopy retract from the chain complex of the harmonic oscillator to finite-dimensional phase space. This induces a homotopy transfer from the BV algebra to the algebra of functions on phase space. Quantum expectation values for a given operator or functional are computed by the function whose pullback gives a functional in the same cohomology class. This statement is proved in perturbation theory by relating the perturbation lemma to Wick's theorem. We test this method by computing two-point functions for the harmonic oscillator for position eigenstates and coherent states. Finally, we derive the Unruh effect, illustrating that these methods are applicable to quantum field theory.
|
hep-th/9702178
| null |
T. P. Branson, P. B. Gilkey, D. V. Vassilevich
|
Vacuum expectation value asymptotics for second order differential
operators on manifolds with boundary
|
A sign error in Lemma 2.5 is corrected. Thanks to Arkady Tseytlin
|
J.Math.Phys. 39 (1998) 1040-1049; Erratum-ibid. 41 (2000) 3301
|
10.1063/1.532369
| null |
hep-th
| null |
Let M be a compact Riemannian manifold with smooth boundary. We study the
vacuum expectation value of an operator Q by studying Tr Qe^{-tD}, where D is
an operator of Laplace type on M, and where Q is a second order operator with
scalar leading symbol; we impose Dirichlet or modified Neumann boundary
conditions.
|
[
{
"created": "Tue, 25 Feb 1997 14:58:35 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Jan 2000 16:40:20 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Branson",
"T. P.",
""
],
[
"Gilkey",
"P. B.",
""
],
[
"Vassilevich",
"D. V.",
""
]
] |
Let M be a compact Riemannian manifold with smooth boundary. We study the vacuum expectation value of an operator Q by studying Tr Qe^{-tD}, where D is an operator of Laplace type on M, and where Q is a second order operator with scalar leading symbol; we impose Dirichlet or modified Neumann boundary conditions.
|
1310.2250
|
Samuel Monnier
|
Samuel Monnier
|
Global gravitational anomaly cancellation for five-branes
|
22 pages. v3: Minor improvements and references added. Version
accepted for publication in ATMP
|
Advances in Theoretical and Mathematical Physics, Volume 19 (2015)
3, pp.701-724
|
10.4310/ATMP.2015.v19.n3.a5
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the global mixed gauge-gravitational anomaly of the worldvolume
theory of the M5-brane vanishes, when the anomaly inflow from the bulk is taken
into account. This result extends to the type IIA and heterotic $E_8 \times
E_8$ five-branes. As a by-product, we provide a definition of the chiral
fermionic fields for generic non-spin M5-brane worldvolume and determine the
coupling between the self-dual field and the M-theory C-field.
|
[
{
"created": "Tue, 8 Oct 2013 20:00:08 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Oct 2013 14:22:36 GMT",
"version": "v2"
},
{
"created": "Wed, 28 May 2014 08:04:15 GMT",
"version": "v3"
},
{
"created": "Fri, 7 Nov 2014 16:35:31 GMT",
"version": "v4"
}
] |
2016-04-21
|
[
[
"Monnier",
"Samuel",
""
]
] |
We show that the global mixed gauge-gravitational anomaly of the worldvolume theory of the M5-brane vanishes, when the anomaly inflow from the bulk is taken into account. This result extends to the type IIA and heterotic $E_8 \times E_8$ five-branes. As a by-product, we provide a definition of the chiral fermionic fields for generic non-spin M5-brane worldvolume and determine the coupling between the self-dual field and the M-theory C-field.
|
2403.03136
|
Dimitrios Katsinis
|
Dimitrios Katsinis, Georgios Pastras and Nikolaos Tetradis
|
Entanglement Entropy of a Scalar Field in a Squeezed State
|
21 pages, 6 figures. v2: references added
| null | null | null |
hep-th quant-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We study the entanglement entropy within a spherical region for a free scalar
field in a squeezed state in 3+1 dimensions. We show that, even for small
squeezing, a volume term appears, whose coefficient is essentially independent
of the field mass. This is in line with Page's argument that the entanglement
entropy in an arbitrary quantum state is proportional to the number of degrees
of freedom of the smaller subsystem. It follows that squeezed states can be
considered as arbitrary quantum states, in contrast to the ground or coherent
states that give rise to entanglement entropy that is dominated by a term
proportional to the area of the entangling surface.
|
[
{
"created": "Tue, 5 Mar 2024 17:22:59 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Apr 2024 19:24:12 GMT",
"version": "v2"
}
] |
2024-04-18
|
[
[
"Katsinis",
"Dimitrios",
""
],
[
"Pastras",
"Georgios",
""
],
[
"Tetradis",
"Nikolaos",
""
]
] |
We study the entanglement entropy within a spherical region for a free scalar field in a squeezed state in 3+1 dimensions. We show that, even for small squeezing, a volume term appears, whose coefficient is essentially independent of the field mass. This is in line with Page's argument that the entanglement entropy in an arbitrary quantum state is proportional to the number of degrees of freedom of the smaller subsystem. It follows that squeezed states can be considered as arbitrary quantum states, in contrast to the ground or coherent states that give rise to entanglement entropy that is dominated by a term proportional to the area of the entangling surface.
|
hep-th/9608046
|
Thomas
|
Kenneth Intriligator and Scott Thomas
|
Dual Descriptions of Supersymmetry Breaking
|
16 pages, harvmac
| null | null |
SLAC-PUB-7143
|
hep-th hep-ph
| null |
Dynamical supersymmetry breaking is considered in models which admit
descriptions in terms of electric, confined, or magnetic degrees of freedom in
various limits. In this way, a variety of seemingly different theories which
break supersymmetry are actually inter-related by confinement or duality.
Specific examples are given in which there are two dual descriptions of the
supersymmetry breaking ground state.
|
[
{
"created": "Thu, 8 Aug 1996 18:05:21 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Intriligator",
"Kenneth",
""
],
[
"Thomas",
"Scott",
""
]
] |
Dynamical supersymmetry breaking is considered in models which admit descriptions in terms of electric, confined, or magnetic degrees of freedom in various limits. In this way, a variety of seemingly different theories which break supersymmetry are actually inter-related by confinement or duality. Specific examples are given in which there are two dual descriptions of the supersymmetry breaking ground state.
|
1902.08932
|
Chandrasekhar Bhamidipati
|
Sandip Mahish and Chandrasekhar Bhamidipati
|
Chaos in Charged Gauss-Bonnet AdS Black Holes in Extended Phase Space
|
17 pages, 15 figures;v2 minor changes, added references;v3 20 pages,
19 figures, improved introduction
|
Phys. Rev. D 99, 106012 (2019)
|
10.1103/PhysRevD.99.106012
| null |
hep-th nlin.CD
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the onset of chaos due to temporal and spatially periodic
perturbations in charged Gauss-Bonnet AdS black holes in extended thermodynamic
phase space, by analyzing the zeros of the appropriate Melnikov functions.
Temporal perturbations coming from a thermal quench in the unstable spinodal
region of P-V diagram, may lead to chaos, when a certain perturbation parameter
$\gamma$ saturates a critical value, involving the Gauss-Bonnet coupling
$\alpha$ and the black hole charge $Q$. A general condition following from the
equation of state is found, which can rule out the existence of chaos in any
black hole. Using this condition, we find that the presence of charge is
necessary for chaos under temporal perturbations. In particular, chaos is
absent in neutral Gauss-Bonnet and Lovelock black holes in general dimensions.
Chaotic behavior continues to exist under spatial perturbations, irrespective
of whether the black hole carries charge or not.
|
[
{
"created": "Sun, 24 Feb 2019 11:49:55 GMT",
"version": "v1"
},
{
"created": "Sun, 10 Mar 2019 14:39:45 GMT",
"version": "v2"
},
{
"created": "Sun, 23 Jun 2019 05:12:11 GMT",
"version": "v3"
}
] |
2019-06-25
|
[
[
"Mahish",
"Sandip",
""
],
[
"Bhamidipati",
"Chandrasekhar",
""
]
] |
We study the onset of chaos due to temporal and spatially periodic perturbations in charged Gauss-Bonnet AdS black holes in extended thermodynamic phase space, by analyzing the zeros of the appropriate Melnikov functions. Temporal perturbations coming from a thermal quench in the unstable spinodal region of P-V diagram, may lead to chaos, when a certain perturbation parameter $\gamma$ saturates a critical value, involving the Gauss-Bonnet coupling $\alpha$ and the black hole charge $Q$. A general condition following from the equation of state is found, which can rule out the existence of chaos in any black hole. Using this condition, we find that the presence of charge is necessary for chaos under temporal perturbations. In particular, chaos is absent in neutral Gauss-Bonnet and Lovelock black holes in general dimensions. Chaotic behavior continues to exist under spatial perturbations, irrespective of whether the black hole carries charge or not.
|
2202.01792
|
Sven Bjarke Gudnason
|
Sven Bjarke Gudnason, Chris Halcrow
|
A Sm\"org{\aa}sbord of Skyrmions
|
LaTeX: 28 + 77 pages, 16 figures and 16 tables, animations of all
solutions rotating at http://bjarke.gudnason.net/smoergaasbord; V2: comments
added, reference added and typos corrected
|
JHEP 2208:117, 2022
|
10.1007/JHEP08(2022)117
| null |
hep-th nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study static solutions of the standard Skyrme model with a pion mass.
Using approximately $10^5$ pseudo-random initial configurations made of single
Skyrmions in the non-symmetrized product Ansatz and an automatic detection of
repeated solutions, we find 409 local energy minimizers (Skyrmions) of the
model with baryon numbers 1 through 16, of which 383 are new. In particular, we
find new solutions for baryon numbers 5, 8, 9, 10, 11, 12, 13, 14, 15, and 16.
Our results for the number of solutions per baryon number suggest that this
number could grow either polynomially or exponentially. We identify new
families of solutions: sheets of Skyrmions in synchronized and antisynchronized
hexagonal layers (which we call graphene); chains of 2- and 3-tori; chain-like
solutions containing a hinge and many clustered Skyrmions. Contrary to common
lore, only the $B=12$ global energy minimizer is made of alpha particles or
some chunk of a cubic crystal, whereas the $B=9,11,14,15$ minimizers contain
the $B=7$ icosahedrally symmetric Skyrmion as a component. The $B=10,13,16$ are
symmetric graphene-like solutions. We find $B=5$ and $B=8$ minimizers with
numerically indistinguishable energies. The $B=8$ candidates are the chain of
two cubes, which is a chunk of the cubic Skyrme crystal and the fullerene-type
ball found originally by the rational map approximation. The $B=5$ global
minimizer is either the well-known $D_{2d}$ symmetric fullerene or a new
$C_{2v}$ symmetric solution. Finally, our findings show a large number of
solutions have no discrete symmetries or just one symmetry, contrary to the
common lore that Skyrmions are highly symmetric configurations.
|
[
{
"created": "Thu, 3 Feb 2022 19:00:02 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Aug 2022 08:55:51 GMT",
"version": "v2"
}
] |
2022-08-16
|
[
[
"Gudnason",
"Sven Bjarke",
""
],
[
"Halcrow",
"Chris",
""
]
] |
We study static solutions of the standard Skyrme model with a pion mass. Using approximately $10^5$ pseudo-random initial configurations made of single Skyrmions in the non-symmetrized product Ansatz and an automatic detection of repeated solutions, we find 409 local energy minimizers (Skyrmions) of the model with baryon numbers 1 through 16, of which 383 are new. In particular, we find new solutions for baryon numbers 5, 8, 9, 10, 11, 12, 13, 14, 15, and 16. Our results for the number of solutions per baryon number suggest that this number could grow either polynomially or exponentially. We identify new families of solutions: sheets of Skyrmions in synchronized and antisynchronized hexagonal layers (which we call graphene); chains of 2- and 3-tori; chain-like solutions containing a hinge and many clustered Skyrmions. Contrary to common lore, only the $B=12$ global energy minimizer is made of alpha particles or some chunk of a cubic crystal, whereas the $B=9,11,14,15$ minimizers contain the $B=7$ icosahedrally symmetric Skyrmion as a component. The $B=10,13,16$ are symmetric graphene-like solutions. We find $B=5$ and $B=8$ minimizers with numerically indistinguishable energies. The $B=8$ candidates are the chain of two cubes, which is a chunk of the cubic Skyrme crystal and the fullerene-type ball found originally by the rational map approximation. The $B=5$ global minimizer is either the well-known $D_{2d}$ symmetric fullerene or a new $C_{2v}$ symmetric solution. Finally, our findings show a large number of solutions have no discrete symmetries or just one symmetry, contrary to the common lore that Skyrmions are highly symmetric configurations.
|
2302.00449
|
Roland Kirschner
|
R. Kirschner
|
Yangian symmetry applied to Quantum chromodynamics
|
48 pages, 5 figures
| null |
10.1142/S0217751X23300065
| null |
hep-th hep-ph math.QA
|
http://creativecommons.org/licenses/by/4.0/
|
We review applications of Yangain symmetry to high-energy QCD phenomenology.
Some basic facts about high-energy QCD are recalled, in particular the
spinor-helicity form of scattering amplitudes, the scale evolution equations of
deep-inelastic scattering structure functions and the high-energy asymptotics
of scattering. As the working tool the Yangian symmetric correlators are
introduced and constructed in the framework of the Yangian algebra of
$g\ell(n)$ type. We present the application to the tree scattering amplitudes
and their iterative relation, to the parton splitting amplitudes and the
kernels of the scale evolution equations of structure functions and to the
equations describing the high-energy asymptotics of scattering.
|
[
{
"created": "Wed, 1 Feb 2023 13:55:04 GMT",
"version": "v1"
}
] |
2023-06-28
|
[
[
"Kirschner",
"R.",
""
]
] |
We review applications of Yangain symmetry to high-energy QCD phenomenology. Some basic facts about high-energy QCD are recalled, in particular the spinor-helicity form of scattering amplitudes, the scale evolution equations of deep-inelastic scattering structure functions and the high-energy asymptotics of scattering. As the working tool the Yangian symmetric correlators are introduced and constructed in the framework of the Yangian algebra of $g\ell(n)$ type. We present the application to the tree scattering amplitudes and their iterative relation, to the parton splitting amplitudes and the kernels of the scale evolution equations of structure functions and to the equations describing the high-energy asymptotics of scattering.
|
hep-th/0509063
|
Kemal Ozeren
|
K.J. Ozeren and W.J. Stirling
|
MHV Techniques for QED Processes
|
19 pages, 10 figures. References added
|
JHEP 0511:016,2005
|
10.1088/1126-6708/2005/11/016
|
IPPP/05/58, DCPT/05/116
|
hep-th
| null |
Significant progress has been made in the past year in developing new `MHV'
techniques for calculating multiparticle scattering amplitudes in Yang-Mills
gauge theories. Most of the work so far has focussed on applications to Quantum
Chromodynamics, both at tree and one-loop level. We show how such techniques
can also be applied to abelian theories such as QED, by studying the simplest
tree-level multiparticle process, e^+e^- to n \gamma. We compare explicit
results for up to n=5 photons using both the Cachazo, Svrcek and Witten `MHV
rules' and the related Britto-Cachazo-Feng `recursion relation' approaches with
those using traditional spinor techniques.
|
[
{
"created": "Fri, 9 Sep 2005 16:43:30 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Nov 2005 03:13:11 GMT",
"version": "v2"
}
] |
2010-02-03
|
[
[
"Ozeren",
"K. J.",
""
],
[
"Stirling",
"W. J.",
""
]
] |
Significant progress has been made in the past year in developing new `MHV' techniques for calculating multiparticle scattering amplitudes in Yang-Mills gauge theories. Most of the work so far has focussed on applications to Quantum Chromodynamics, both at tree and one-loop level. We show how such techniques can also be applied to abelian theories such as QED, by studying the simplest tree-level multiparticle process, e^+e^- to n \gamma. We compare explicit results for up to n=5 photons using both the Cachazo, Svrcek and Witten `MHV rules' and the related Britto-Cachazo-Feng `recursion relation' approaches with those using traditional spinor techniques.
|
hep-th/0107078
|
Ciprian Acatrinei
|
Ciprian Acatrinei
|
Path Integral Formulation of Noncommutative Quantum Mechanics
|
Latex, 7 pages
|
JHEP 0109 (2001) 007
|
10.1088/1126-6708/2001/09/007
| null |
hep-th
| null |
We propose a phase-space path integral formulation of noncommutative quantum
mechanics, and prove its equivalence to the operatorial formulation. As an
illustration, the partition function of a noncommutative two-dimensional
harmonic oscillator is calculated.
|
[
{
"created": "Tue, 10 Jul 2001 13:20:47 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Acatrinei",
"Ciprian",
""
]
] |
We propose a phase-space path integral formulation of noncommutative quantum mechanics, and prove its equivalence to the operatorial formulation. As an illustration, the partition function of a noncommutative two-dimensional harmonic oscillator is calculated.
|
0911.0967
|
Robert de Mello Koch
|
Robert de Mello Koch, Tanay K. Dey, Norman Ives and Michael Stephanou
|
Hints of Integrability Beyond the Planar Limit: Nontrivial Backgrounds
|
25+1 pages; references added; v3: minor changes, references added
|
JHEP 1001:014,2010
|
10.1007/JHEP01(2010)014
|
WITS-CTP-044
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The problem of computing the anomalous dimensions of a class of (nearly)
half-BPS operators with a large R-charge is reduced to the problem of
diagonalizing a Cuntz oscillator chain. Due to the large dimension of the
operators we consider, non-planar corrections must be summed to correctly
construct the Cuntz oscillator dynamics. These non-planar corrections do not
represent quantum corrections in the dual gravitational theory, but rather,
they account for the backreaction from the heavy operator whose dimension we
study. Non-planar corrections accounting for quantum corrections seem to spoil
integrability, in general. It is interesting to ask if non-planar corrections
that account for the backreaction also spoil integrability. We find a limit in
which our Cuntz chain continues to admit extra conserved charges suggesting
that integrability might survive.
|
[
{
"created": "Thu, 5 Nov 2009 03:41:18 GMT",
"version": "v1"
},
{
"created": "Sun, 8 Nov 2009 18:09:58 GMT",
"version": "v2"
},
{
"created": "Tue, 1 Dec 2009 13:05:51 GMT",
"version": "v3"
}
] |
2010-03-01
|
[
[
"Koch",
"Robert de Mello",
""
],
[
"Dey",
"Tanay K.",
""
],
[
"Ives",
"Norman",
""
],
[
"Stephanou",
"Michael",
""
]
] |
The problem of computing the anomalous dimensions of a class of (nearly) half-BPS operators with a large R-charge is reduced to the problem of diagonalizing a Cuntz oscillator chain. Due to the large dimension of the operators we consider, non-planar corrections must be summed to correctly construct the Cuntz oscillator dynamics. These non-planar corrections do not represent quantum corrections in the dual gravitational theory, but rather, they account for the backreaction from the heavy operator whose dimension we study. Non-planar corrections accounting for quantum corrections seem to spoil integrability, in general. It is interesting to ask if non-planar corrections that account for the backreaction also spoil integrability. We find a limit in which our Cuntz chain continues to admit extra conserved charges suggesting that integrability might survive.
|
1502.01214
|
Diego Gallego
|
Diego Gallego
|
Effective upliftings in Large volume compactifications
|
8 pgs, 1 figure. To be submitted for publication in Nuclear physics B
Proceedings Supplements-Special Issue X SILAFAE; v2 typos fixed, references
added
| null | null | null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
After reviewing several mechanisms proposed to get a dS/Minkowski vacuum in
moduli stabilization scenarios of type-IIB superstring orientifold
compactifications we propose a criterium for characterizing those that may
effectively lead to a positive small cosmological constant.
We suggest that the variation in the expectation value of a good uplifting
term, due to the shift in the minimum of the potential after uplifting, is much
smaller than the original cosmological constant. This is studied with some
detail in Large volume scenarios where the dependency on the volume direction
is rather generic and easy to spot. Here we find that an uplifting term in the
potential, with generic form $V_{up}\sim 1/{\cal V}^\gamma$, should be
restricted to the one satisfying $\gamma^2\ll 12$.
Such a bound might explain why in models previously studied no uplifting has
been achieved, and gives motivations to study a novel proposal of dilaton
dependent uplifting mechanism for which no numerical studies has been performed
before. We find that in this case it is actually possible to get a dS vacuum,
but still leave open the question of a more precise discrimination feature the
good uplifting mechanisms should satisfy.
|
[
{
"created": "Wed, 4 Feb 2015 14:47:38 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Aug 2015 18:27:35 GMT",
"version": "v2"
}
] |
2015-08-06
|
[
[
"Gallego",
"Diego",
""
]
] |
After reviewing several mechanisms proposed to get a dS/Minkowski vacuum in moduli stabilization scenarios of type-IIB superstring orientifold compactifications we propose a criterium for characterizing those that may effectively lead to a positive small cosmological constant. We suggest that the variation in the expectation value of a good uplifting term, due to the shift in the minimum of the potential after uplifting, is much smaller than the original cosmological constant. This is studied with some detail in Large volume scenarios where the dependency on the volume direction is rather generic and easy to spot. Here we find that an uplifting term in the potential, with generic form $V_{up}\sim 1/{\cal V}^\gamma$, should be restricted to the one satisfying $\gamma^2\ll 12$. Such a bound might explain why in models previously studied no uplifting has been achieved, and gives motivations to study a novel proposal of dilaton dependent uplifting mechanism for which no numerical studies has been performed before. We find that in this case it is actually possible to get a dS vacuum, but still leave open the question of a more precise discrimination feature the good uplifting mechanisms should satisfy.
|
1704.01276
|
Shogo Nishino
|
Shogo Nishino, Ryutaro Matsudo, Matthias Warschinke, Kei-Ichi Kondo
|
Dyon and magnetic monopole in Yang--Mills theory derived through the
complementary gauge-scalar model
|
Argument completely modified in arXiv:1803.04339
| null | null |
CHIBA-EP-222
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that dyon and magnetic monopole can be constructed in the
gauge-independent way for the $SU(2)$ Yang--Mills theory even in the absence of
the scalar field. This result is derived from the recent proposal for obtaining
non-trivial topological configurations responsible for quark confinement in the
Yang-Mills theory based on the Confinement-Higgs complementary relationship
between the pure Yang-Mills theory and the gauge-scalar model with an adjoint
scalar field of the fixed length. We discuss how such configurations have the
implications for quark confinement.
|
[
{
"created": "Wed, 5 Apr 2017 06:03:52 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Mar 2019 13:20:11 GMT",
"version": "v2"
}
] |
2019-03-28
|
[
[
"Nishino",
"Shogo",
""
],
[
"Matsudo",
"Ryutaro",
""
],
[
"Warschinke",
"Matthias",
""
],
[
"Kondo",
"Kei-Ichi",
""
]
] |
We show that dyon and magnetic monopole can be constructed in the gauge-independent way for the $SU(2)$ Yang--Mills theory even in the absence of the scalar field. This result is derived from the recent proposal for obtaining non-trivial topological configurations responsible for quark confinement in the Yang-Mills theory based on the Confinement-Higgs complementary relationship between the pure Yang-Mills theory and the gauge-scalar model with an adjoint scalar field of the fixed length. We discuss how such configurations have the implications for quark confinement.
|
hep-th/9711132
| null |
J. M. F. Labastida and Carlos Lozano
|
Mass Perturbations in Twisted N=4 Supersymmetric Gauge Theories
|
36 pages, phyzzx, a footnote and two references added
|
Nucl.Phys. B518 (1998) 37-58
|
10.1016/S0550-3213(98)00135-7
| null |
hep-th
| null |
Mass perturbations of the twisted N=4 supersymmetric gauge theory considered
by Vafa and Witten to test S-duality are studied for the case of Kahler
four-manifolds. It is shown that the resulting mass-perturbed theory can be
regarded as an equivariant extension associated to a U(1) symmetry of the
twisted theory, which is only present for Kahler manifolds. In addition, it is
shown that the partition function, the only topological invariant of the
theory, remains invariant under the perturbation.
|
[
{
"created": "Tue, 18 Nov 1997 10:44:06 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Dec 1997 14:23:25 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Labastida",
"J. M. F.",
""
],
[
"Lozano",
"Carlos",
""
]
] |
Mass perturbations of the twisted N=4 supersymmetric gauge theory considered by Vafa and Witten to test S-duality are studied for the case of Kahler four-manifolds. It is shown that the resulting mass-perturbed theory can be regarded as an equivariant extension associated to a U(1) symmetry of the twisted theory, which is only present for Kahler manifolds. In addition, it is shown that the partition function, the only topological invariant of the theory, remains invariant under the perturbation.
|
hep-th/9902163
|
Stepanyantz
|
P.Pronin and K.Stepanyantz
|
Exact effective action for N=1 supersymmetric theories
|
22 pages, LATEX, 1 eps figure
| null | null | null |
hep-th
| null |
We investigate nonperturbative effects in N=1 supersymmetric theories and
propose a new expression for the effective action, which correctly reproduces
quantum anomalies and agrees with the transformation law of instanton measure.
Actually the result is a nonperturbative extension of Veneziano-Yankielowitch
effective Lagrangian. The possibility of integrating out the gluino condensate
is discussed.
|
[
{
"created": "Tue, 23 Feb 1999 13:04:19 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Pronin",
"P.",
""
],
[
"Stepanyantz",
"K.",
""
]
] |
We investigate nonperturbative effects in N=1 supersymmetric theories and propose a new expression for the effective action, which correctly reproduces quantum anomalies and agrees with the transformation law of instanton measure. Actually the result is a nonperturbative extension of Veneziano-Yankielowitch effective Lagrangian. The possibility of integrating out the gluino condensate is discussed.
|
2106.04604
|
Sylvain Fichet
|
Sylvain Fichet
|
Dressing in AdS and a Conformal Bethe-Salpeter Equation
|
v2: 7+6 pages, 4 figures, minor edits, supplemental material
included, matches journal version
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We initiate the study of Dyson equations of perturbative QFT in AdS and their
consequences for large-N CFT. We show that the dressed one-particle AdS
propagator features wavefunction renormalization and operator mixing, giving
rise to finite corrections to OPE data. We show how the resummation of 1/N
effects in the CFT emerges from the dressing in AdS. When a boundary-to-bulk
propagator is dressed by propagators whose sum of conformal dimensions is lower
than the main dimension, it cannot map onto a CFT source; we relate this to an
AdS/CFT version of particle instability. We investigate the dressing of the
two-particle propagator and obtain a conformal Bethe-Salpeter equation for the
conformal partial wave of a "bound state" operator. We provide a self-contained
calculation for the case of a ladder kernel. We show that a bound state with
conformal dimension equal to the sum of its constituents plus a
1/N^2-suppressed "binding energy" emerges. Resummation of the Dyson equations
is essential for deriving these results.
|
[
{
"created": "Tue, 8 Jun 2021 18:00:18 GMT",
"version": "v1"
},
{
"created": "Sun, 3 Sep 2023 19:45:09 GMT",
"version": "v2"
}
] |
2023-09-06
|
[
[
"Fichet",
"Sylvain",
""
]
] |
We initiate the study of Dyson equations of perturbative QFT in AdS and their consequences for large-N CFT. We show that the dressed one-particle AdS propagator features wavefunction renormalization and operator mixing, giving rise to finite corrections to OPE data. We show how the resummation of 1/N effects in the CFT emerges from the dressing in AdS. When a boundary-to-bulk propagator is dressed by propagators whose sum of conformal dimensions is lower than the main dimension, it cannot map onto a CFT source; we relate this to an AdS/CFT version of particle instability. We investigate the dressing of the two-particle propagator and obtain a conformal Bethe-Salpeter equation for the conformal partial wave of a "bound state" operator. We provide a self-contained calculation for the case of a ladder kernel. We show that a bound state with conformal dimension equal to the sum of its constituents plus a 1/N^2-suppressed "binding energy" emerges. Resummation of the Dyson equations is essential for deriving these results.
|
1810.03590
|
Ivan Christov
|
Ivan C. Christov, Robert J. Decker, A. Demirkaya, Vakhid A. Gani, P.
G. Kevrekidis, R. V. Radomskiy
|
Long-range interactions of kinks
|
41 pages, 18 figures, revtex4-1 class, v2: minor updates
|
Phys. Rev. D 99, 016010 (2019)
|
10.1103/PhysRevD.99.016010
| null |
hep-th nlin.PS
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a computational analysis of the long-range interactions of
solitary waves in higher-order field theories. Our vehicle of choice is the
$\varphi^8$ field theory, although we explore similar issues in example
$\varphi^{10}$ and $\varphi^{12}$ models. In particular, we discuss the
fundamental differences between the latter higher-order models and the standard
$\varphi^4$ model. Upon establishing the power-law asymptotics of the model's
solutions' approach towards one of the steady states, we make the case that
such asymptotics require particular care in setting up multi-soliton initial
conditions. A naive implementation of additive or multiplicative ans\"atze
gives rise to highly pronounced radiation effects and eventually leads to the
illusion of a repulsive interaction between a kink and an antikink in such
higher-order field theories. We propose and compare several methods for how to
"distill" the initial data into suitable ans\"atze, and we show how these
approaches capture the attractive nature of interactions between the
topological solitons in the presence of power-law tails (long-range
interactions). This development paves the way for a systematic examination of
solitary wave interactions in higher-order field theories and raises some
intriguing questions regarding potential experimental observations of such
interactions. As an Appendix, we present an analysis of kink-antikink
interactions in the example models via the method of collective coordinates.
|
[
{
"created": "Mon, 8 Oct 2018 17:32:34 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Dec 2018 18:07:49 GMT",
"version": "v2"
}
] |
2019-01-16
|
[
[
"Christov",
"Ivan C.",
""
],
[
"Decker",
"Robert J.",
""
],
[
"Demirkaya",
"A.",
""
],
[
"Gani",
"Vakhid A.",
""
],
[
"Kevrekidis",
"P. G.",
""
],
[
"Radomskiy",
"R. V.",
""
]
] |
We present a computational analysis of the long-range interactions of solitary waves in higher-order field theories. Our vehicle of choice is the $\varphi^8$ field theory, although we explore similar issues in example $\varphi^{10}$ and $\varphi^{12}$ models. In particular, we discuss the fundamental differences between the latter higher-order models and the standard $\varphi^4$ model. Upon establishing the power-law asymptotics of the model's solutions' approach towards one of the steady states, we make the case that such asymptotics require particular care in setting up multi-soliton initial conditions. A naive implementation of additive or multiplicative ans\"atze gives rise to highly pronounced radiation effects and eventually leads to the illusion of a repulsive interaction between a kink and an antikink in such higher-order field theories. We propose and compare several methods for how to "distill" the initial data into suitable ans\"atze, and we show how these approaches capture the attractive nature of interactions between the topological solitons in the presence of power-law tails (long-range interactions). This development paves the way for a systematic examination of solitary wave interactions in higher-order field theories and raises some intriguing questions regarding potential experimental observations of such interactions. As an Appendix, we present an analysis of kink-antikink interactions in the example models via the method of collective coordinates.
|
1001.5388
|
Bhabani Prasad Mandal Dr
|
Sumit Kumar Rai, Bhabani Prasad Mandal
|
New forms of BRST symmetry in rigid rotor
|
10 Pages, revtex, No Figs
|
Mod. Phys. Lett. A, 25, 2281-2288, 2010
|
10.1142/S0217732310033220
| null |
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive the different forms of BRST symmetry by using the
Batalin-Fradkin-Vilkovisky formalism in a rigid rotor. The so called
"dual-BRST" symmetry is obtained from usual BRST symmetry by making a canonical
transformation in the ghost sector. On the other hand, a canonical
transformation in the sector involving Lagrange multiplier and its
corresponding momentum leads to a new form of BRST as well as dual-BRST
symmetry.
|
[
{
"created": "Fri, 29 Jan 2010 12:02:00 GMT",
"version": "v1"
}
] |
2015-05-18
|
[
[
"Rai",
"Sumit Kumar",
""
],
[
"Mandal",
"Bhabani Prasad",
""
]
] |
We derive the different forms of BRST symmetry by using the Batalin-Fradkin-Vilkovisky formalism in a rigid rotor. The so called "dual-BRST" symmetry is obtained from usual BRST symmetry by making a canonical transformation in the ghost sector. On the other hand, a canonical transformation in the sector involving Lagrange multiplier and its corresponding momentum leads to a new form of BRST as well as dual-BRST symmetry.
|
1109.1885
|
Reinaldo de Melo e Souza
|
Reinaldo de Melo e Souza, W.J.M. Kort-Kamp, C. Sigaud, and C.Farina
|
Finite size effects and non-additivity in the van der Waals interaction
|
8 pages
| null |
10.1103/PhysRevA.84.052513
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We obtain analytically the exact non-retarded dispersive interaction energy
between an atom and a perfectly conducting disc. We consider the atom in the
symmetry axis of the disc and assume the atom is predominantly polarizable in
the direction of this axis. For this situation we discuss the finite size
effects on the corresponding interaction energy. We follow the recent procedure
introduced by Eberlein and Zietal together with the old and powerful
Sommerfeld's image method for non-trivial geometries. For the sake of clarity
we present a detailed discussion of Sommerfeld's image method. Comparing our
results form the atom-disc system with those recently obtained for an atom near
a conducting plane with a circular aperture, we discus the non-additivity of
the van der Waals interactions involving an atom and two complementary
surfaces. We show that there is a given ratio z/a between the distance z from
the atom to the center of the disc (aperture) and the radius of the disc a
(aperture) for which non-additivity effects vanish. Qualitative arguments
suggest that this quite unexpected result will occur not only for a circular
hole, but for anyother symmetric hole.
|
[
{
"created": "Fri, 9 Sep 2011 03:11:42 GMT",
"version": "v1"
}
] |
2016-03-09
|
[
[
"Souza",
"Reinaldo de Melo e",
""
],
[
"Kort-Kamp",
"W. J. M.",
""
],
[
"Sigaud",
"C.",
""
],
[
"Farina",
"C.",
""
]
] |
We obtain analytically the exact non-retarded dispersive interaction energy between an atom and a perfectly conducting disc. We consider the atom in the symmetry axis of the disc and assume the atom is predominantly polarizable in the direction of this axis. For this situation we discuss the finite size effects on the corresponding interaction energy. We follow the recent procedure introduced by Eberlein and Zietal together with the old and powerful Sommerfeld's image method for non-trivial geometries. For the sake of clarity we present a detailed discussion of Sommerfeld's image method. Comparing our results form the atom-disc system with those recently obtained for an atom near a conducting plane with a circular aperture, we discus the non-additivity of the van der Waals interactions involving an atom and two complementary surfaces. We show that there is a given ratio z/a between the distance z from the atom to the center of the disc (aperture) and the radius of the disc a (aperture) for which non-additivity effects vanish. Qualitative arguments suggest that this quite unexpected result will occur not only for a circular hole, but for anyother symmetric hole.
|
2210.13871
|
Arkady Tseytlin
|
M. Beccaria, G.P. Korchemsky, A.A. Tseytlin
|
Exact strong coupling results in $\cal N$=2 $Sp(2N)$ superconformal
gauge theory from localization
|
41 pages. v2: minor correction; v3: eqs.(2.41) and (2.43) corrected
| null |
10.1007/JHEP01(2023)037
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We apply the localization technique to compute the free energy on four-sphere
and the circular BPS Wilson loop in the four-dimensional $\cal N$=2
superconformal $Sp(2N)$ gauge theory containing vector multiplet coupled to
four hypermultiplets in fundamental representation and one hypermultiplet in
rank-2 antisymmetric representation. This theory is unique among similar $\cal
N$=2 superconformal models that are planar-equivalent to $\cal N$=4 SYM in that
the corresponding localization matrix model has the interaction potential
containing single-trace terms only. We exploit this property to show that, to
any order in large $N$ expansion and an arbitrary 't Hooft coupling $\lambda$,
the free energy and the Wilson loop satisfy Toda lattice equations. Solving
these equations at strong coupling, we find remarkably simple expressions for
these observables which include all corrections in $1/N$ and
$1/\sqrt{\lambda}$. We also compute the leading exponentially suppressed ${\cal
O}(e^{-\sqrt{\lambda}})$ corrections and consider a generalization to the case
when the fundamental hypermultiplets have a non-zero mass. The string theory
dual of this $\cal N$=2 gauge theory should be a particular orientifold of
AdS$_5 \times S^5$ type IIB string and we discuss the string theory
interpretation of the obtained strong-coupling results.
|
[
{
"created": "Tue, 25 Oct 2022 09:53:41 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Oct 2022 11:27:44 GMT",
"version": "v2"
},
{
"created": "Fri, 25 Aug 2023 10:28:50 GMT",
"version": "v3"
}
] |
2023-08-28
|
[
[
"Beccaria",
"M.",
""
],
[
"Korchemsky",
"G. P.",
""
],
[
"Tseytlin",
"A. A.",
""
]
] |
We apply the localization technique to compute the free energy on four-sphere and the circular BPS Wilson loop in the four-dimensional $\cal N$=2 superconformal $Sp(2N)$ gauge theory containing vector multiplet coupled to four hypermultiplets in fundamental representation and one hypermultiplet in rank-2 antisymmetric representation. This theory is unique among similar $\cal N$=2 superconformal models that are planar-equivalent to $\cal N$=4 SYM in that the corresponding localization matrix model has the interaction potential containing single-trace terms only. We exploit this property to show that, to any order in large $N$ expansion and an arbitrary 't Hooft coupling $\lambda$, the free energy and the Wilson loop satisfy Toda lattice equations. Solving these equations at strong coupling, we find remarkably simple expressions for these observables which include all corrections in $1/N$ and $1/\sqrt{\lambda}$. We also compute the leading exponentially suppressed ${\cal O}(e^{-\sqrt{\lambda}})$ corrections and consider a generalization to the case when the fundamental hypermultiplets have a non-zero mass. The string theory dual of this $\cal N$=2 gauge theory should be a particular orientifold of AdS$_5 \times S^5$ type IIB string and we discuss the string theory interpretation of the obtained strong-coupling results.
|
2305.18515
|
Veronica Pasquarella
|
Veronica Pasquarella
|
Categorical Symmetries and Fiber Functors from Multiple Condensing
Homomorphisms from 6D ${\cal N}=(2,0)$ SCFTs
|
29 pages + references; V2 with references added
| null | null | null |
hep-th math-ph math.CT math.MP math.RT
|
http://creativecommons.org/licenses/by/4.0/
|
Exploiting the symmetry topological field theory/topological order
correspondence (SymTFT/TO), together with the higher-categorical structure of
6D N =(2,0) SCFTs, we prove that the total quantum dimension of the relative
condensation algebra leading to intrinsic non-invertible symmetries between
class ${\cal S}$ theories is greater with respect to the non-intrinsic case.
From a higher-categorical perspective, this supports the idea that multiplicity
is allowed to exceed unity in some superselection sectors.
|
[
{
"created": "Mon, 29 May 2023 18:00:01 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Jun 2023 10:54:39 GMT",
"version": "v2"
}
] |
2023-06-08
|
[
[
"Pasquarella",
"Veronica",
""
]
] |
Exploiting the symmetry topological field theory/topological order correspondence (SymTFT/TO), together with the higher-categorical structure of 6D N =(2,0) SCFTs, we prove that the total quantum dimension of the relative condensation algebra leading to intrinsic non-invertible symmetries between class ${\cal S}$ theories is greater with respect to the non-intrinsic case. From a higher-categorical perspective, this supports the idea that multiplicity is allowed to exceed unity in some superselection sectors.
|
1401.5804
|
Steven B. Giddings
|
Steven B. Giddings
|
Modulated Hawking radiation and a nonviolent channel for information
release
|
10 pages of text + refs. v2: cleaner figure. v3: minor updates to
match published version
| null |
10.1016/j.physletb.2014.08.070
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Unitarization of black hole evaporation requires that quantum information
escapes a black hole; an important question is to identify the mechanism or
channel by which it does so. Accurate counting of black hole states via the
Bekenstein-Hawking entropy would indicate this information should be encoded in
radiation with average energy flux matching Hawking's. Information can be
encoded with no change in net flux via fine-grained modulation of the Hawking
radiation. In an approximate effective field theory description, couplings to
the stress tensor of the black hole atmosphere that depend on the internal
state of the black hole are a promising alternative for inducing such
modulation. These can be picturesquely thought of as due to state-dependent
metric fluctuations in the vicinity of the horizon. Such couplings offer the
prospect of emitting information without extra energy flux, and can be shown to
do so at linear order in the couplings, with motivation given for possible
extension of this result to higher orders. The potential advantages of such
couplings to the stress tensor thus extend beyond their universality, which is
helpful in addressing constraints from black hole mining.
|
[
{
"created": "Wed, 22 Jan 2014 21:02:18 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Feb 2014 19:54:26 GMT",
"version": "v2"
},
{
"created": "Wed, 17 Sep 2014 17:02:55 GMT",
"version": "v3"
}
] |
2015-12-30
|
[
[
"Giddings",
"Steven B.",
""
]
] |
Unitarization of black hole evaporation requires that quantum information escapes a black hole; an important question is to identify the mechanism or channel by which it does so. Accurate counting of black hole states via the Bekenstein-Hawking entropy would indicate this information should be encoded in radiation with average energy flux matching Hawking's. Information can be encoded with no change in net flux via fine-grained modulation of the Hawking radiation. In an approximate effective field theory description, couplings to the stress tensor of the black hole atmosphere that depend on the internal state of the black hole are a promising alternative for inducing such modulation. These can be picturesquely thought of as due to state-dependent metric fluctuations in the vicinity of the horizon. Such couplings offer the prospect of emitting information without extra energy flux, and can be shown to do so at linear order in the couplings, with motivation given for possible extension of this result to higher orders. The potential advantages of such couplings to the stress tensor thus extend beyond their universality, which is helpful in addressing constraints from black hole mining.
|
hep-th/0305005
|
Lee-Peng Teo
|
Lee-Peng Teo
|
Analytic functions and integrable hierarchies--characterization of tau
functions
|
23 pages, typos and terminologies corrected
| null | null | null |
hep-th
| null |
We prove the dispersionless Hirota equations for the dispersionless Toda,
dispersionless coupled modified KP and dispersionless KP hierarchies using an
idea from classical complex analysis. We also prove that the Hirota equations
characterize the tau functions for each of these hierarchies. As a result, we
establish the links between the hierarchies.
|
[
{
"created": "Thu, 1 May 2003 00:05:17 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Jun 2003 03:08:27 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Teo",
"Lee-Peng",
""
]
] |
We prove the dispersionless Hirota equations for the dispersionless Toda, dispersionless coupled modified KP and dispersionless KP hierarchies using an idea from classical complex analysis. We also prove that the Hirota equations characterize the tau functions for each of these hierarchies. As a result, we establish the links between the hierarchies.
|
2204.07194
|
Amir Raz
|
Elena C\'aceres, Anderson Misobuchi, Amir Raz
|
Spectral Form Factor in Sparse SYK Models
|
21 pages, 11 figures V2: Minor edits and lower resolution figures
|
J. High Energ. Phys. 2022, 236 (2022)
|
10.1007/JHEP08(2022)236
| null |
hep-th cond-mat.str-el
|
http://creativecommons.org/licenses/by/4.0/
|
We investigate the spectral form factor of the sparse Sachdev-Ye-Kitaev
model. We use numerical methods to establish that at intermediate times the
connected part of the spectral form factor is the dominant one. These connected
contributions arise from fluctuations around the disconnected geometry, not
from a new saddle point. A similar effect was previously conjectured in SYK but
required a value of $N$ out of reach of current numerical simulations.
|
[
{
"created": "Thu, 14 Apr 2022 19:07:09 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Aug 2022 15:46:28 GMT",
"version": "v2"
}
] |
2022-08-25
|
[
[
"Cáceres",
"Elena",
""
],
[
"Misobuchi",
"Anderson",
""
],
[
"Raz",
"Amir",
""
]
] |
We investigate the spectral form factor of the sparse Sachdev-Ye-Kitaev model. We use numerical methods to establish that at intermediate times the connected part of the spectral form factor is the dominant one. These connected contributions arise from fluctuations around the disconnected geometry, not from a new saddle point. A similar effect was previously conjectured in SYK but required a value of $N$ out of reach of current numerical simulations.
|
hep-th/0702082
|
Christian Beck
|
Christian Beck
|
Complexity of chaotic fields and standard model parameters
|
27 pages, 7 figures. Invited lectures given at the Erice summer
school `The Logic of Nature, Complexity and New Physics: From Quark-Gluon
Plasma to Superstrings, Quantum Gravity and Beyond' (Erice, 29 Aug.-7. Sept.
2006)
| null |
10.1142/9789812832467_0001
| null |
hep-th astro-ph hep-ph
| null |
In order to understand the parameters of the standard model of electroweak
and strong interactions (coupling constants, masses, mixing angles) one needs
to embed the standard model into some larger theory that accounts for the
observed values. This means some additional sector is needed that fixes and
stabilizes the values of the fundamental constants of nature. In these lecture
notes we describe in nontechnical terms how such a sector can be constructed.
Our additional sector is based on rapidly fluctuating scalar fields that,
although completely deterministic, evolve in the strongest possible chaotic way
and exhibit complex behaviour. These chaotic fields generate potentials for
moduli fields, which ultimately fix the fundamental parameters. The chaotic
dynamics can be physically interpreted in terms of vacuum fluctuations. These
vacuum fluctuations are different from those of QED or QCD but coupled with the
same moduli fields as QED and QCD are. The vacuum energy generated by the
chaotic fields underlies the currently observed dark energy of the universe.
Our theory correctly predicts the numerical values of the electroweak and
strong coupling constants using a simple principle, the minimization of vacuum
energy. Implementing some additional discrete symmetry assumptions one also
obtains predictions for fermion masses, as well as a Higgs mass prediction of
154 GeV.
|
[
{
"created": "Sun, 11 Feb 2007 15:07:43 GMT",
"version": "v1"
}
] |
2017-08-23
|
[
[
"Beck",
"Christian",
""
]
] |
In order to understand the parameters of the standard model of electroweak and strong interactions (coupling constants, masses, mixing angles) one needs to embed the standard model into some larger theory that accounts for the observed values. This means some additional sector is needed that fixes and stabilizes the values of the fundamental constants of nature. In these lecture notes we describe in nontechnical terms how such a sector can be constructed. Our additional sector is based on rapidly fluctuating scalar fields that, although completely deterministic, evolve in the strongest possible chaotic way and exhibit complex behaviour. These chaotic fields generate potentials for moduli fields, which ultimately fix the fundamental parameters. The chaotic dynamics can be physically interpreted in terms of vacuum fluctuations. These vacuum fluctuations are different from those of QED or QCD but coupled with the same moduli fields as QED and QCD are. The vacuum energy generated by the chaotic fields underlies the currently observed dark energy of the universe. Our theory correctly predicts the numerical values of the electroweak and strong coupling constants using a simple principle, the minimization of vacuum energy. Implementing some additional discrete symmetry assumptions one also obtains predictions for fermion masses, as well as a Higgs mass prediction of 154 GeV.
|
2007.00579
|
Jakub Jankowski
|
Sibasish Banerjee, Jakub Jankowski, Piotr Su{\l}kowski
|
Revisiting the Melvin-Morton-Rozansky Expansion, or There and Back Again
|
Minor corrections, example of 8_19 knot added
| null |
10.1007/JHEP12(2020)095
| null |
hep-th math-ph math.GT math.MP math.SG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Alexander polynomial arises in the leading term of a semi-classical
Melvin-Morton-Rozansky expansion of colored knot polynomials. In this work,
following the opposite direction, we propose how to reconstruct colored
HOMFLY-PT polynomials, superpolynomials, and newly introduced $\widehat{Z}$
invariants for some knot complements, from an appropriate rewriting,
quantization and deformation of Alexander polynomial. Along this route we
rederive conjectural expressions for the above mentioned invariants for various
knots obtained recently, thereby proving their consistency with the
Melvin-Morton-Rozansky theorem, and derive new formulae for colored
superpolynomials unknown before. For a given knot, depending on certain
choices, our reconstruction leads to equivalent expressions, which are either
cyclotomic, or encode certain features of HOMFLY-PT homology and the
knots-quivers correspondence.
|
[
{
"created": "Wed, 1 Jul 2020 16:05:21 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Jul 2020 13:01:33 GMT",
"version": "v2"
}
] |
2020-12-30
|
[
[
"Banerjee",
"Sibasish",
""
],
[
"Jankowski",
"Jakub",
""
],
[
"Sułkowski",
"Piotr",
""
]
] |
Alexander polynomial arises in the leading term of a semi-classical Melvin-Morton-Rozansky expansion of colored knot polynomials. In this work, following the opposite direction, we propose how to reconstruct colored HOMFLY-PT polynomials, superpolynomials, and newly introduced $\widehat{Z}$ invariants for some knot complements, from an appropriate rewriting, quantization and deformation of Alexander polynomial. Along this route we rederive conjectural expressions for the above mentioned invariants for various knots obtained recently, thereby proving their consistency with the Melvin-Morton-Rozansky theorem, and derive new formulae for colored superpolynomials unknown before. For a given knot, depending on certain choices, our reconstruction leads to equivalent expressions, which are either cyclotomic, or encode certain features of HOMFLY-PT homology and the knots-quivers correspondence.
|
2001.05040
|
V. Parameswaran Nair
|
V.P. Nair
|
Landau-Hall States and Berezin-Toeplitz Quantization of Matrix Algebras
|
16 pages
|
Phys. Rev. D 102, 025015 (2020)
|
10.1103/PhysRevD.102.025015
| null |
hep-th cond-mat.other math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We argue that the Landau-Hall states provide a suitable framework for
formulating the Berezin-Toeplitz quantization of classical functions on a
K\"ahler phase space. We derive the star-products for such functions in this
framework and generalize the Berezin-Toeplitz quantization to matrix-valued
classical functions. We also comment on how this is related to different
calculations of the effective action for Hall systems.
|
[
{
"created": "Tue, 14 Jan 2020 20:42:04 GMT",
"version": "v1"
}
] |
2020-07-22
|
[
[
"Nair",
"V. P.",
""
]
] |
We argue that the Landau-Hall states provide a suitable framework for formulating the Berezin-Toeplitz quantization of classical functions on a K\"ahler phase space. We derive the star-products for such functions in this framework and generalize the Berezin-Toeplitz quantization to matrix-valued classical functions. We also comment on how this is related to different calculations of the effective action for Hall systems.
|
0810.1005
|
Kanabu Nawa
|
Kanabu Nawa, Hideo Suganuma, Toru Kojo
|
Brane-induced Skyrmion on S^3: baryonic matter in holographic QCD
|
25 pages, 12 figures
|
Phys.Rev.D79:026005,2009
|
10.1103/PhysRevD.79.026005
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study baryonic matter in holographic QCD with D4/D8/\bar{D8} multi-D brane
system in type IIA superstring theory. The baryon is described as the
"brane-induced Skyrmion", which is a topologically non-trivial chiral soliton
in the four-dimensional meson effective action induced by holographic QCD. We
employ the "truncated-resonance model" approach for the baryon analysis,
including pion and \rho meson fields below the ultraviolet cutoff scale M_KK
\sim 1GeV, to keep the holographic duality with QCD. We describe the baryonic
matter in large N_c as single brane-induced Skyrmion on the three-dimensional
closed manifold S^3 with finite radius R. The interactions between baryons are
simulated by the curvature of the closed manifold S^3, and the decrease of the
size of S^3 represents the increase of the total baryon-number density in the
medium in this modeling. We investigate the energy density, the field
configuration, the mass and the root-mean-square radius of single baryon on S^3
as the function of its radius R. We find a new picture of "pion dominance" near
the critical density in the baryonic matter, where all the (axial) vector meson
fields disappear and only the pion field survive. We also find the "swelling"
phenomena of the baryons as the precursor of the deconfinement, and propose the
mechanism of the swelling in general context of QCD. The properties of the
deconfinement and the chiral symmetry restoration in the baryonic matter are
examined by taking the proper order parameters. We also compare our
truncated-resonance model with another "instanton" description of the baryon in
holographic QCD, considering the role of cutoff scale M_KK.
|
[
{
"created": "Mon, 6 Oct 2008 16:56:32 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Dec 2008 15:32:15 GMT",
"version": "v2"
}
] |
2009-02-20
|
[
[
"Nawa",
"Kanabu",
""
],
[
"Suganuma",
"Hideo",
""
],
[
"Kojo",
"Toru",
""
]
] |
We study baryonic matter in holographic QCD with D4/D8/\bar{D8} multi-D brane system in type IIA superstring theory. The baryon is described as the "brane-induced Skyrmion", which is a topologically non-trivial chiral soliton in the four-dimensional meson effective action induced by holographic QCD. We employ the "truncated-resonance model" approach for the baryon analysis, including pion and \rho meson fields below the ultraviolet cutoff scale M_KK \sim 1GeV, to keep the holographic duality with QCD. We describe the baryonic matter in large N_c as single brane-induced Skyrmion on the three-dimensional closed manifold S^3 with finite radius R. The interactions between baryons are simulated by the curvature of the closed manifold S^3, and the decrease of the size of S^3 represents the increase of the total baryon-number density in the medium in this modeling. We investigate the energy density, the field configuration, the mass and the root-mean-square radius of single baryon on S^3 as the function of its radius R. We find a new picture of "pion dominance" near the critical density in the baryonic matter, where all the (axial) vector meson fields disappear and only the pion field survive. We also find the "swelling" phenomena of the baryons as the precursor of the deconfinement, and propose the mechanism of the swelling in general context of QCD. The properties of the deconfinement and the chiral symmetry restoration in the baryonic matter are examined by taking the proper order parameters. We also compare our truncated-resonance model with another "instanton" description of the baryon in holographic QCD, considering the role of cutoff scale M_KK.
|
hep-th/9908189
|
Marios Petropoulos
|
P. Marios Petropoulos (Ecole Polytechnique, France)
|
String Theory on AdS3: Some Open Questions
|
18 pages, latex. To appear in the proceedings of the TMR European
program meeting "Quantum aspects of gauge theories, supersymmetry and
unification", Paris, France, 1--7 September, 1999; v2: comments and
references added
| null | null |
CPTH-PC-732.0899
|
hep-th
| null |
String theory on curved backgrounds has received much attention on account of
both its own interest, and of its relation with gauge theories. Despite the
progress made in various directions, several quite elementary questions remain
unanswered, in particular in the very simple case of three-dimensional anti-de
Sitter space. I will very briefly review these problems, discuss in some detail
the important issue of constructing a consistent spectrum for a string
propagating on ADS3 plus torsion background, and comment on potential
solutions.
|
[
{
"created": "Sat, 28 Aug 1999 17:45:46 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Mar 2000 14:51:07 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Petropoulos",
"P. Marios",
"",
"Ecole Polytechnique, France"
]
] |
String theory on curved backgrounds has received much attention on account of both its own interest, and of its relation with gauge theories. Despite the progress made in various directions, several quite elementary questions remain unanswered, in particular in the very simple case of three-dimensional anti-de Sitter space. I will very briefly review these problems, discuss in some detail the important issue of constructing a consistent spectrum for a string propagating on ADS3 plus torsion background, and comment on potential solutions.
|
0707.2207
|
Chang-Guang Shi
|
Minoru Hirayama, Chang-Guang Shi
|
Reduction of static field equation of Faddeev model
|
8 pages
|
Phys.Lett.B652:384-387,2007
|
10.1016/j.physletb.2007.07.025
| null |
hep-th
| null |
A method to solve the static field equation of the Faddeev model is
presented. For an special combination of the concerned field, we adopt a form
which is compatible with the field equation and involves two arbitrary complex
functions. As a result, the static field equation is reduced to a set of first
order partial differential equations.
|
[
{
"created": "Sun, 15 Jul 2007 14:04:27 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Hirayama",
"Minoru",
""
],
[
"Shi",
"Chang-Guang",
""
]
] |
A method to solve the static field equation of the Faddeev model is presented. For an special combination of the concerned field, we adopt a form which is compatible with the field equation and involves two arbitrary complex functions. As a result, the static field equation is reduced to a set of first order partial differential equations.
|
1301.2108
|
Rafael Francisco
|
R. R. Francisco and J. Frenkel
|
Hard thermal loops in long wave-length and static external gravitational
fields
|
3 pages, 1 figure
| null |
10.1016/j.physletb.2013.01.072
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study, in the long wave-length and static limits, the structure of the
n-point graviton functions at high temperature. Using the gauge and Weyl
invariance of the theory, we derive a simple expression for the hard thermal
amplitudes in these two limits.
|
[
{
"created": "Thu, 10 Jan 2013 13:06:02 GMT",
"version": "v1"
}
] |
2015-06-12
|
[
[
"Francisco",
"R. R.",
""
],
[
"Frenkel",
"J.",
""
]
] |
We study, in the long wave-length and static limits, the structure of the n-point graviton functions at high temperature. Using the gauge and Weyl invariance of the theory, we derive a simple expression for the hard thermal amplitudes in these two limits.
|
hep-th/9411037
|
Robert Perry
|
Robert J. Perry
|
A Simple Confinement Mechanism for Light-Front Quantum Chromodynamics
|
15 pages, latex, no figures. To appear in Proceedings of the workshop
`Theory of Hadrons and Light-Front QCD,' Poland, August 1994
| null | null | null |
hep-th hep-ph nucl-th
| null |
Light-front field theory offers a scenario in which a constituent picture of
hadrons may arise, but only if cutoffs that violate explicit covariance and
gauge invariance are used. The perturbative renormalization group can be used
to approximate the cutoff QCD hamiltonian, and even at lowest orders the
resultant hamiltonian displays interesting phenomenological features. A general
scheme for computing and using these hamiltonians is discussed and it is
explicitly shown that a confining interaction appears when the hamiltonian is
computed to second order.
|
[
{
"created": "Fri, 4 Nov 1994 18:58:25 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Nov 1994 02:48:42 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Perry",
"Robert J.",
""
]
] |
Light-front field theory offers a scenario in which a constituent picture of hadrons may arise, but only if cutoffs that violate explicit covariance and gauge invariance are used. The perturbative renormalization group can be used to approximate the cutoff QCD hamiltonian, and even at lowest orders the resultant hamiltonian displays interesting phenomenological features. A general scheme for computing and using these hamiltonians is discussed and it is explicitly shown that a confining interaction appears when the hamiltonian is computed to second order.
|
hep-th/9909115
|
Ronaldo Thibes
|
Ricardo Amorim and Ronaldo Thibes
|
On the BFFT quantization of first order systems
|
18 pages, LaTeX, no figures, to appear in Journal of Mathematical
Physics
|
J.Math.Phys. 40 (1999) 5306-5317
|
10.1063/1.533031
| null |
hep-th
| null |
By using the field-antifield formalism, we show that the method of Batalin,
Fradkin, Fradkina and Tyutin to convert Hamiltonian systems submitted to second
class constraints introduces compensating fields which do not belong to the
BRST cohomology at ghost number one. This assures that the gauge symmetries
which arise from the BFFT procedure are not obstructed at quantum level. An
example where massive electrodynamics is coupled to chiral fermions is
considered. We solve the quantum master equation for the model and show that
the respective counterterm has a decisive role in extracting anomalous
expectation values associated with the divergence of the Noether chiral
current.
|
[
{
"created": "Thu, 16 Sep 1999 14:40:13 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Amorim",
"Ricardo",
""
],
[
"Thibes",
"Ronaldo",
""
]
] |
By using the field-antifield formalism, we show that the method of Batalin, Fradkin, Fradkina and Tyutin to convert Hamiltonian systems submitted to second class constraints introduces compensating fields which do not belong to the BRST cohomology at ghost number one. This assures that the gauge symmetries which arise from the BFFT procedure are not obstructed at quantum level. An example where massive electrodynamics is coupled to chiral fermions is considered. We solve the quantum master equation for the model and show that the respective counterterm has a decisive role in extracting anomalous expectation values associated with the divergence of the Noether chiral current.
|
1210.6976
|
Pavel Spirin
|
Dmitry Gal'tsov, Pavel Spirin and Theodore N. Tomaras
|
Gravitational bremsstrahlung in ultra-planckian collisions
|
38 pages, 5 figures
|
JHEP 1301 (2013) 087
|
10.1007/JHEP01(2013)087
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A classical computation of gravitational bremsstrahlung in ultra-planckian
collisions of massive point particles is presented in an arbitrary number d of
toroidal or non-compact extra dimensions. Our method generalizes the
post-linear formalism of General Relativity to the multidimensional case. The
total emitted energy, as well as its angular and frequency distribution are
discussed in detail. In terms of the gravitational radius r_S of the collision
energy, the impact parameter b and the Lorentz factor in the CM frame, the
leading order radiation efficiency in the Lab frame is shown to be of order
(r_S/b)^{3(d+1)} gamma_{cm} for d=0, 1 and of order (r_S/b)^{3(d+1)}
gamma_{cm}^{2d-3} for d>1, up to a known d-dependent coefficient and a ln
gamma_{cm} factor for d=2, while the characteristic frequency of the radiation
is gamma/b. The contribution of the low frequency part of the radiation (soft
gravitons) to the total radiated energy is shown to be negligible for all
values of d. The domain of validity of the classical result is discussed.
Finally, it is shown that within the region of validity of our approach the
efficiency can obtain unnatural values greater than one, which is interpreted
to mean that the peripheral ultra-planckian collisions should be strongly
radiation damped.
|
[
{
"created": "Thu, 25 Oct 2012 19:58:51 GMT",
"version": "v1"
}
] |
2015-06-11
|
[
[
"Gal'tsov",
"Dmitry",
""
],
[
"Spirin",
"Pavel",
""
],
[
"Tomaras",
"Theodore N.",
""
]
] |
A classical computation of gravitational bremsstrahlung in ultra-planckian collisions of massive point particles is presented in an arbitrary number d of toroidal or non-compact extra dimensions. Our method generalizes the post-linear formalism of General Relativity to the multidimensional case. The total emitted energy, as well as its angular and frequency distribution are discussed in detail. In terms of the gravitational radius r_S of the collision energy, the impact parameter b and the Lorentz factor in the CM frame, the leading order radiation efficiency in the Lab frame is shown to be of order (r_S/b)^{3(d+1)} gamma_{cm} for d=0, 1 and of order (r_S/b)^{3(d+1)} gamma_{cm}^{2d-3} for d>1, up to a known d-dependent coefficient and a ln gamma_{cm} factor for d=2, while the characteristic frequency of the radiation is gamma/b. The contribution of the low frequency part of the radiation (soft gravitons) to the total radiated energy is shown to be negligible for all values of d. The domain of validity of the classical result is discussed. Finally, it is shown that within the region of validity of our approach the efficiency can obtain unnatural values greater than one, which is interpreted to mean that the peripheral ultra-planckian collisions should be strongly radiation damped.
|
2308.14428
|
Tadashi Okazaki
|
Tadashi Okazaki, Douglas J. Smith
|
3d exceptional gauge theories and boundary confinement
|
39 pages, v2: published version in JHEP
|
JHEP11(2023)199
|
10.1007/JHEP11(2023)199
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We find boundary confining dualities of 3d $\mathcal{N}=2$ supersymmetric
gauge theories with exceptional gauge groups. The half-indices which enumerate
the boundary BPS local operators in the presence of Neumann and Dirichlet
boundary conditions for gauge fields are identified with the Askey-Wilson type
$q$-beta integrals and Macdonald type sums respectively. New conjectural
identities of $E_6$ and $E_7$ integrals and sums are derived from the boundary
confining dualities. We also consider theories with a vector multiplet and
adjoint chiral, which correspond to an $\mathcal{N}=4$ vector multiplet, with
appropriate boundary conditions. We argue for the boundary confinement of the
$\mathcal{N}=4$ vector multiplet and comment on such theories also with
classical gauge groups.
|
[
{
"created": "Mon, 28 Aug 2023 09:06:19 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Nov 2023 07:15:18 GMT",
"version": "v2"
}
] |
2023-11-29
|
[
[
"Okazaki",
"Tadashi",
""
],
[
"Smith",
"Douglas J.",
""
]
] |
We find boundary confining dualities of 3d $\mathcal{N}=2$ supersymmetric gauge theories with exceptional gauge groups. The half-indices which enumerate the boundary BPS local operators in the presence of Neumann and Dirichlet boundary conditions for gauge fields are identified with the Askey-Wilson type $q$-beta integrals and Macdonald type sums respectively. New conjectural identities of $E_6$ and $E_7$ integrals and sums are derived from the boundary confining dualities. We also consider theories with a vector multiplet and adjoint chiral, which correspond to an $\mathcal{N}=4$ vector multiplet, with appropriate boundary conditions. We argue for the boundary confinement of the $\mathcal{N}=4$ vector multiplet and comment on such theories also with classical gauge groups.
|
1510.00108
|
Behzad Eslam Panah
|
S. H. Hendi, B. Eslam Panah and S. Panahiyan
|
Thermodynamical Structure of AdS Black Holes in Massive Gravity with
Stringy Gauge-Gravity Corrections
|
21 pages, 15 figures, published version
|
Class. Quantum Grav. 33, 235007 (2016)
|
10.1088/0264-9381/33/23/235007
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Motivated by gauge/gravity group in the low energy effective theory of the
heterotic string theory and novel aspects of massive gravity in the context of
lattice physics, the minimal coupling of Gauss-Bonnet-massive gravity with
Born-Infeld electrodynamics is considered. At first, the metric function is
calculated and then the geometrical properties of the solutions are
investigated. It is found that there is an essential singularity at the origin
and the intrinsic curvature is regular elsewhere. In addition, the effects of
massive parameters are studied and black hole solutions with multi horizons are
found in this gravity. Also the conserved and thermodynamic quantities are
calculated, and it is shown that the solutions satisfy the first law of
thermodynamics. Furthermore, using heat capacity of these black holes, thermal
stability and phase transitions are investigated. The variation of different
parameters and related modifications on the (number of) phase transition are
examined. Next, the critical behavior of the Gauss-Bonnet-Born-Infeld-massive
black holes in the context of extended phase space is studied. It is shown that
how the variation of the different parameters affects the existence and absence
of phase transition. Also, it is found that for specific values of different
parameters, these black holes may enjoy the existence of new type of phase
transition which to our knowledge was not observed in black hole physics
before.
|
[
{
"created": "Thu, 1 Oct 2015 05:09:58 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Jan 2017 17:29:20 GMT",
"version": "v2"
}
] |
2017-01-19
|
[
[
"Hendi",
"S. H.",
""
],
[
"Panah",
"B. Eslam",
""
],
[
"Panahiyan",
"S.",
""
]
] |
Motivated by gauge/gravity group in the low energy effective theory of the heterotic string theory and novel aspects of massive gravity in the context of lattice physics, the minimal coupling of Gauss-Bonnet-massive gravity with Born-Infeld electrodynamics is considered. At first, the metric function is calculated and then the geometrical properties of the solutions are investigated. It is found that there is an essential singularity at the origin and the intrinsic curvature is regular elsewhere. In addition, the effects of massive parameters are studied and black hole solutions with multi horizons are found in this gravity. Also the conserved and thermodynamic quantities are calculated, and it is shown that the solutions satisfy the first law of thermodynamics. Furthermore, using heat capacity of these black holes, thermal stability and phase transitions are investigated. The variation of different parameters and related modifications on the (number of) phase transition are examined. Next, the critical behavior of the Gauss-Bonnet-Born-Infeld-massive black holes in the context of extended phase space is studied. It is shown that how the variation of the different parameters affects the existence and absence of phase transition. Also, it is found that for specific values of different parameters, these black holes may enjoy the existence of new type of phase transition which to our knowledge was not observed in black hole physics before.
|
2305.05242
|
Thomas Fischbacher
|
Thomas Fischbacher
|
Bit-Twiddling Hacks for Gamma Matrices
|
20 pages; source code available on arXiv and also at
https://github.com/google-research/google-research/tree/master/m_theory
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
For some research questions that involve Spin(p, q) representation theory,
using symbolic algebra based techniques might be an attractive option for
simplifying and manipulating expressions. Yet, for some such problems,
especially as they arise in the study of various limits of M-theory (such as
dimensional reductions), the complexity of the resulting expressions can become
computationally challenging when using popular symbolic algebra packages in a
straightforward manner.
This work discusses some general properties of Gamma matrices that are
computationally useful, down to the level of what one would call "bit-twiddling
hacks" in computer science. It is presented in a self-contained way that should
be accessible to both physicists and computer scientists. Code is available
alongside the TeX source of the preprint version of this article on arXiv.
|
[
{
"created": "Tue, 9 May 2023 08:09:06 GMT",
"version": "v1"
}
] |
2023-05-10
|
[
[
"Fischbacher",
"Thomas",
""
]
] |
For some research questions that involve Spin(p, q) representation theory, using symbolic algebra based techniques might be an attractive option for simplifying and manipulating expressions. Yet, for some such problems, especially as they arise in the study of various limits of M-theory (such as dimensional reductions), the complexity of the resulting expressions can become computationally challenging when using popular symbolic algebra packages in a straightforward manner. This work discusses some general properties of Gamma matrices that are computationally useful, down to the level of what one would call "bit-twiddling hacks" in computer science. It is presented in a self-contained way that should be accessible to both physicists and computer scientists. Code is available alongside the TeX source of the preprint version of this article on arXiv.
|
hep-th/0305015
|
David Nolland
|
Paul Mansfield, David Nolland and Tatsuya Ueno
|
Order ${\bf 1/N^3}$ corrections to the conformal anomaly of the (2,0)
theory in six dimensions
|
LaTeX, 9 pages
|
Phys.Lett. B566 (2003) 157-163
|
10.1016/S0370-2693(03)00777-9
|
LTH574
|
hep-th
| null |
Using Supergravity on $AdS_7\times S^4$ we calculate the bulk one-loop
contribution to the conformal anomaly of the (2,0) theory describing $N$
coincident M5 branes. When this is added to the tree-level result, and an
additional subleading order contribution calculated by Tseytlin, it gives an
expression for the anomaly that interpolates correctly between the large $N$
theory and the free (2,0) tensor theory corresponding to N=1. Thus we can argue
that we have identified the exact $N$-dependence of the anomaly, which may have
a simple protected form valid away from the large $N$ limit.
|
[
{
"created": "Thu, 1 May 2003 16:30:10 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Mansfield",
"Paul",
""
],
[
"Nolland",
"David",
""
],
[
"Ueno",
"Tatsuya",
""
]
] |
Using Supergravity on $AdS_7\times S^4$ we calculate the bulk one-loop contribution to the conformal anomaly of the (2,0) theory describing $N$ coincident M5 branes. When this is added to the tree-level result, and an additional subleading order contribution calculated by Tseytlin, it gives an expression for the anomaly that interpolates correctly between the large $N$ theory and the free (2,0) tensor theory corresponding to N=1. Thus we can argue that we have identified the exact $N$-dependence of the anomaly, which may have a simple protected form valid away from the large $N$ limit.
|
hep-th/0609139
|
Orest Prytula
|
M.P. Kozlovskii, O.O. Prytula
|
Equation of State and Thermodynamic Functions of the Ising-like Magnet
at $T>T_c$
|
11 pages, 2 figures
| null | null | null |
hep-th
| null |
The 3D Ising-like system in the external field is described using the
non-perturbative collective variables method. The universal as well as
nonuniversal system characteristics are obtained within the framework of this
approach. The calculations are carried out on the microscopic level starting
from the Hamiltonian. They are valid in the whole $h-T$ plane of the critical
region. It is established, that the contributions related with wave vector
values $\vk\to0$ exhibit the properties of the total system near the critical
point. The behaviour of the susceptibility as function of the temperature in
the presence of the field is investigated. The locations of the maximums
susceptibility on the temperature scale for different values of the field are
established.
|
[
{
"created": "Wed, 20 Sep 2006 10:34:22 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Kozlovskii",
"M. P.",
""
],
[
"Prytula",
"O. O.",
""
]
] |
The 3D Ising-like system in the external field is described using the non-perturbative collective variables method. The universal as well as nonuniversal system characteristics are obtained within the framework of this approach. The calculations are carried out on the microscopic level starting from the Hamiltonian. They are valid in the whole $h-T$ plane of the critical region. It is established, that the contributions related with wave vector values $\vk\to0$ exhibit the properties of the total system near the critical point. The behaviour of the susceptibility as function of the temperature in the presence of the field is investigated. The locations of the maximums susceptibility on the temperature scale for different values of the field are established.
|
2112.02651
|
Mohammad Vahid Takook
|
M.V. Takook and J.P. Gazeau
|
Quantum Yang-Mills theory in de Sitter ambient space formalism
|
19 pages, some references added, two appendices added, explanations
added, typos corrected
|
Nucl. Phys. B, 980 (2022) 115811
|
10.1016/j.nuclphysb.2022.115811
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We present the quantum Yang-Mills theory in the four-dimensional de Sitter
ambient space formalism. In accordance with the SU$(3)$ gauge symmetry the
interaction Lagrangian is formulated in terms of interacting color charged
fields in curved space-time. The gauge-invariant field equations are obtained
in an independent coordinate description, and their corresponding color
conserved currents are computed. Faddeev-Popov ghost fields are shown to be
equivalent to their Minkowski counterparts. We obtain that the free ghost
fields are massless minimally coupled scalar fields. The problems of the vacuum
state, namely the breaking of de Sitter invariance, and the appearance of
infrared divergence in its quantization procedure, are discussed. The existence
of an axiomatic quantum Yang-Mills theory within the framework of the Krein
space quantization is examined. The infrared divergence regularization of the
interaction between the gauge vector fields and the ghost fields is studied in
the one-loop approximation. Two different regularization methods are discussed:
cut-off regularization and Krein space regularization. A mass term for the
gauge vector fields is obtained, which may explain the mass gap and the color
confinement problems at the quantum level in de Sitter background. The large
curvature limit at the early universe or inflationary epoch is considered.
|
[
{
"created": "Sun, 5 Dec 2021 18:41:04 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Mar 2022 08:55:13 GMT",
"version": "v2"
}
] |
2022-08-18
|
[
[
"Takook",
"M. V.",
""
],
[
"Gazeau",
"J. P.",
""
]
] |
We present the quantum Yang-Mills theory in the four-dimensional de Sitter ambient space formalism. In accordance with the SU$(3)$ gauge symmetry the interaction Lagrangian is formulated in terms of interacting color charged fields in curved space-time. The gauge-invariant field equations are obtained in an independent coordinate description, and their corresponding color conserved currents are computed. Faddeev-Popov ghost fields are shown to be equivalent to their Minkowski counterparts. We obtain that the free ghost fields are massless minimally coupled scalar fields. The problems of the vacuum state, namely the breaking of de Sitter invariance, and the appearance of infrared divergence in its quantization procedure, are discussed. The existence of an axiomatic quantum Yang-Mills theory within the framework of the Krein space quantization is examined. The infrared divergence regularization of the interaction between the gauge vector fields and the ghost fields is studied in the one-loop approximation. Two different regularization methods are discussed: cut-off regularization and Krein space regularization. A mass term for the gauge vector fields is obtained, which may explain the mass gap and the color confinement problems at the quantum level in de Sitter background. The large curvature limit at the early universe or inflationary epoch is considered.
|
0907.4942
|
Saharian
|
S. Bellucci, A. A. Saharian
|
Fermionic Casimir effect for parallel plates in the presence of compact
dimensions with applications to nanotubes
|
20 pages, 3 figures
|
Phys.Rev.D80:105003,2009
|
10.1103/PhysRevD.80.105003
| null |
hep-th cond-mat.mes-hall gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We evaluate the Casimir energy and force for a massive fermionic field in the
geometry of two parallel plates on background of Minkowski spacetime with an
arbitrary number of toroidally compactified spatial dimensions. The bag
boundary conditions are imposed on the plates and periodicity conditions with
arbitrary phases are considered along the compact dimensions. The Casimir
energy is decomposed into purely topological, single plate and interaction
parts. With independence of the lengths of the compact dimensions and the
phases in the periodicity conditions, the interaction part of the Casimir
energy is always negative. In order to obtain the resulting force, the
contributions from both sides of the plates must be taken into account. Then,
the forces coming from the topological parts of the vacuum energy cancel out
and only the interaction term contributes to the Casimir force. Applications of
the general formulae to Kaluza-Klein type models and carbon nanotubes are
given. In particular, we show that for finite length metallic nanotubes the
Casimir forces acting on the tube edges are always attractive, whereas for
semiconducting-type ones they are attractive for small lengths of the nanotube
and repulsive for large lengths.
|
[
{
"created": "Tue, 28 Jul 2009 15:52:58 GMT",
"version": "v1"
}
] |
2010-02-08
|
[
[
"Bellucci",
"S.",
""
],
[
"Saharian",
"A. A.",
""
]
] |
We evaluate the Casimir energy and force for a massive fermionic field in the geometry of two parallel plates on background of Minkowski spacetime with an arbitrary number of toroidally compactified spatial dimensions. The bag boundary conditions are imposed on the plates and periodicity conditions with arbitrary phases are considered along the compact dimensions. The Casimir energy is decomposed into purely topological, single plate and interaction parts. With independence of the lengths of the compact dimensions and the phases in the periodicity conditions, the interaction part of the Casimir energy is always negative. In order to obtain the resulting force, the contributions from both sides of the plates must be taken into account. Then, the forces coming from the topological parts of the vacuum energy cancel out and only the interaction term contributes to the Casimir force. Applications of the general formulae to Kaluza-Klein type models and carbon nanotubes are given. In particular, we show that for finite length metallic nanotubes the Casimir forces acting on the tube edges are always attractive, whereas for semiconducting-type ones they are attractive for small lengths of the nanotube and repulsive for large lengths.
|
hep-th/9904187
|
Dileep Jatkar
|
Dileep P. Jatkar and S. Randjbar-Daemi
|
Type IIB string theory on AdS_5 X T^{nn'}
|
Plain Tex, 12 pages, (v2) minor typos corrected, version to appear in
PLB. (v3) Problem in the format of titlepage fixed
|
Phys.Lett. B460 (1999) 281-287
|
10.1016/S0370-2693(99)00810-2
| null |
hep-th
| null |
We study \kk spectrum of type IIB string theory compactified on $AdS_5 \times
T^{nn'}$ in the context of $AdS/CFT$ correspondence. We examine some of the
modes of the complexified 2 form potential as an example and show that for the
states at the bottom of the \kk tower the corresponding $d=4$ boundary field
operators have rational conformal dimensions. The masses of some of the
fermionic modes in the bottom of each tower as functions of the $R$ charge in
the boundary conformal theory are also rational. Furthermore the modes in the
bottom of the towers originating from $q$ forms on $T^{11}$ can be put in
correspondence with the BRS cohomology classes of the $c=1$ non critical string
theory with ghost number $q$. However, a more detailed investigation is called
for, to clarify further the relation of this supergravity background with the
$c=1$ strings.
|
[
{
"created": "Tue, 27 Apr 1999 13:44:51 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Jul 1999 05:32:20 GMT",
"version": "v2"
},
{
"created": "Sat, 10 Jul 1999 04:31:38 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Jatkar",
"Dileep P.",
""
],
[
"Randjbar-Daemi",
"S.",
""
]
] |
We study \kk spectrum of type IIB string theory compactified on $AdS_5 \times T^{nn'}$ in the context of $AdS/CFT$ correspondence. We examine some of the modes of the complexified 2 form potential as an example and show that for the states at the bottom of the \kk tower the corresponding $d=4$ boundary field operators have rational conformal dimensions. The masses of some of the fermionic modes in the bottom of each tower as functions of the $R$ charge in the boundary conformal theory are also rational. Furthermore the modes in the bottom of the towers originating from $q$ forms on $T^{11}$ can be put in correspondence with the BRS cohomology classes of the $c=1$ non critical string theory with ghost number $q$. However, a more detailed investigation is called for, to clarify further the relation of this supergravity background with the $c=1$ strings.
|
1811.05216
|
Krzysztof A. Meissner
|
Krzysztof A. Meissner, Hermann Nicolai and Jan Plefka
|
Softly broken conformal symmetry with quantum gravitational corrections
| null | null |
10.1016/j.physletb.2019.01.066
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that a previously proposed new mechanism to eliminate quadratic
divergences for scalar masses is self-consistently compatible with corrections
induced by perturbative quantum gravity, provided the theory embeds
consistently into a UV completion at the Planck scale.
|
[
{
"created": "Tue, 13 Nov 2018 11:15:29 GMT",
"version": "v1"
}
] |
2019-02-20
|
[
[
"Meissner",
"Krzysztof A.",
""
],
[
"Nicolai",
"Hermann",
""
],
[
"Plefka",
"Jan",
""
]
] |
We show that a previously proposed new mechanism to eliminate quadratic divergences for scalar masses is self-consistently compatible with corrections induced by perturbative quantum gravity, provided the theory embeds consistently into a UV completion at the Planck scale.
|
hep-th/9410187
|
Andy Strominger
|
Andrew Strominger
|
Unitary Rules for Black Hole Evaporation
|
19 pages, 8 uuencoded figures, references added
| null | null |
UCSBTH-94-34
|
hep-th gr-qc
| null |
Hawking has proposed non-unitary rules for computing the probabilistic
outcome of black hole formation. It is shown that the usual interpretation of
these rules violates the superposition principle and energy conservation.
Refinements of Hawking's rules are found which restore both the superposition
principle and energy conservation, but leave completely unaltered Hawking's
prediction of a thermal emission spectrum prior to the endpoint of black hole
evaporation. These new rules violate clustering. They further imply the
existence of superselection sectors, within each of which clustering is
restored and a unitary $S$-matrix is shown to exist. -- This is an expanded
version of a talk given at the Seventh Marcel Grossman Meeting on General
Relativity, Stanford CA.
|
[
{
"created": "Wed, 26 Oct 1994 04:54:00 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Nov 1994 22:29:46 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Strominger",
"Andrew",
""
]
] |
Hawking has proposed non-unitary rules for computing the probabilistic outcome of black hole formation. It is shown that the usual interpretation of these rules violates the superposition principle and energy conservation. Refinements of Hawking's rules are found which restore both the superposition principle and energy conservation, but leave completely unaltered Hawking's prediction of a thermal emission spectrum prior to the endpoint of black hole evaporation. These new rules violate clustering. They further imply the existence of superselection sectors, within each of which clustering is restored and a unitary $S$-matrix is shown to exist. -- This is an expanded version of a talk given at the Seventh Marcel Grossman Meeting on General Relativity, Stanford CA.
|
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