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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1207.6574
|
My. Brahim Sedra
|
A. Belhaj, M. B. Sedra
|
Quiver Gauge theories from Lie Superalgebras
|
10 pages, 4 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss quiver gauge models with matter fields based on Dynkin diagrams of
Lie superalgebra structures. We focus on A(1,0) case and we find first that it
can be related to intersecting complex cycles with genus $g$. Using toric
geometry, A(1,0) quivers are analyzed in some details and it is shown that
A(1,0) can be used to incorporate fundamental fields to a product of two
unitary factor groups. We expect that this approach can be applied to other
kinds of Lie superalgebras;
|
[
{
"created": "Thu, 26 Jul 2012 15:59:48 GMT",
"version": "v1"
}
] |
2012-07-30
|
[
[
"Belhaj",
"A.",
""
],
[
"Sedra",
"M. B.",
""
]
] |
We discuss quiver gauge models with matter fields based on Dynkin diagrams of Lie superalgebra structures. We focus on A(1,0) case and we find first that it can be related to intersecting complex cycles with genus $g$. Using toric geometry, A(1,0) quivers are analyzed in some details and it is shown that A(1,0) can be used to incorporate fundamental fields to a product of two unitary factor groups. We expect that this approach can be applied to other kinds of Lie superalgebras;
|
1212.0391
|
Iver Brevik
|
I. Brevik, V. V. Obukhov and A. V. Timoshkin
|
Quasi-Rip and Pseudo-Rip Universes Induced by the Fluid Inhomogeneous
Equation of State
|
12 pages latex, no figures; to appear in Astrophys. and Space Science
|
Astrophys. Space Sci. (2013) 344, 275
|
10.1007/s10509-012-1328-7
| null |
gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate specific models for a dark energy universe leading to
Quasi-Rip and Pseudo-Rip cosmologies. In the Quasi-Rip model the equation of
state parameter w is less than -1 in the first stage, but becomes larger than
-1 in the second stage. In the Pseudo-Rip model the Hubble parameter tends to a
constant value in the remote future, although w is always less than -1.
Conditions for the appearance of the Quasi-Rip and the Pseudo-Rip in terms of
the parameters in the equation of state are determined. Analogies with the
theory of viscous cosmology are discussed.
|
[
{
"created": "Mon, 3 Dec 2012 14:00:31 GMT",
"version": "v1"
}
] |
2013-06-03
|
[
[
"Brevik",
"I.",
""
],
[
"Obukhov",
"V. V.",
""
],
[
"Timoshkin",
"A. V.",
""
]
] |
We investigate specific models for a dark energy universe leading to Quasi-Rip and Pseudo-Rip cosmologies. In the Quasi-Rip model the equation of state parameter w is less than -1 in the first stage, but becomes larger than -1 in the second stage. In the Pseudo-Rip model the Hubble parameter tends to a constant value in the remote future, although w is always less than -1. Conditions for the appearance of the Quasi-Rip and the Pseudo-Rip in terms of the parameters in the equation of state are determined. Analogies with the theory of viscous cosmology are discussed.
|
0909.3518
|
MariaConcepcion Gonzalez-Garcia
|
M.C. Gonzalez-Garcia, J. Racker, N. Rius
|
Leptogenesis without violation of B-L
|
V2 (published version): 21 pages, 4 figures. Some explanations have
been added
|
JHEP 0911:079,2009
|
10.1088/1126-6708/2009/11/079
|
FTUV-09-0909, YITP-SB-09-27
|
hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the possibility of generating the observed baryon asymmetry via
leptogenesis in the decay of heavy Standard Model singlet fermions which carry
lepton number, in a framework without Majorana masses above the electroweak
scale. Such scenario does not contain any source of total lepton number
violation besides the Standard Model sphalerons, and the baryon asymmetry is
generated by the interplay of lepton flavour effects and the sphaleron
decoupling in the decay epoch.
|
[
{
"created": "Mon, 21 Sep 2009 16:58:34 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Dec 2009 16:36:08 GMT",
"version": "v2"
}
] |
2009-12-14
|
[
[
"Gonzalez-Garcia",
"M. C.",
""
],
[
"Racker",
"J.",
""
],
[
"Rius",
"N.",
""
]
] |
We study the possibility of generating the observed baryon asymmetry via leptogenesis in the decay of heavy Standard Model singlet fermions which carry lepton number, in a framework without Majorana masses above the electroweak scale. Such scenario does not contain any source of total lepton number violation besides the Standard Model sphalerons, and the baryon asymmetry is generated by the interplay of lepton flavour effects and the sphaleron decoupling in the decay epoch.
|
1901.11277
|
Umananda Dev Goswami
|
Dhruba Jyoti Gogoi and Umananda Dev Goswami
|
Gravitational Waves in f(R) Gravity Power Law Model
|
12 pages, 3 figures
|
Indian Journal of Physics 96, 637 (2022)
|
10.1007/s12648-020-01998-8
| null |
gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We investigate the different polarization modes of Gravitational Waves (GWs)
in $f(R)$ gravity power law model in de Sitter space. It is seen that the
massive scalar field polarization mode exists in this model. The mass of the
scalar field depends highly on the background curvature and the power term $n$.
However, we found that the model doesnot exhibit a massive scalar mode for
$n=2$ and instead it shows a breathing mode in addition to the tensor plus and
cross modes. Thus mass of the scalar field is found to vary with $n$ within the
range $1 \leq n \leq 2$.
|
[
{
"created": "Thu, 31 Jan 2019 09:13:50 GMT",
"version": "v1"
},
{
"created": "Sat, 18 Apr 2020 11:20:47 GMT",
"version": "v2"
},
{
"created": "Wed, 20 Jan 2021 11:15:10 GMT",
"version": "v3"
}
] |
2022-03-17
|
[
[
"Gogoi",
"Dhruba Jyoti",
""
],
[
"Goswami",
"Umananda Dev",
""
]
] |
We investigate the different polarization modes of Gravitational Waves (GWs) in $f(R)$ gravity power law model in de Sitter space. It is seen that the massive scalar field polarization mode exists in this model. The mass of the scalar field depends highly on the background curvature and the power term $n$. However, we found that the model doesnot exhibit a massive scalar mode for $n=2$ and instead it shows a breathing mode in addition to the tensor plus and cross modes. Thus mass of the scalar field is found to vary with $n$ within the range $1 \leq n \leq 2$.
|
1512.02644
|
Stephen Green
|
Stephen R. Green, Stefan Hollands, Akihiro Ishibashi and Robert M.
Wald
|
Superradiant instabilities of asymptotically anti-de Sitter black holes
|
24 pages
| null |
10.1088/0264-9381/33/12/125022
| null |
gr-qc hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the linear stability of asymptotically anti-de Sitter black holes in
general relativity in spacetime dimension $d\ge4$. Our approach is an
adaptation of the general framework of Hollands and Wald, which gives a
stability criterion in terms of the sign of the canonical energy,
$\mathcal{E}$. The general framework was originally formulated for static or
stationary and axisymmetric black holes in the asymptotically flat case, and
the stability analysis for that case applies only to axisymmetric
perturbations. However, in the asymptotically anti-de Sitter case, the
stability analysis requires only that the black hole have a single Killing
field normal to the horizon and there are no restrictions on the perturbations
(apart from smoothness and appropriate behavior at infinity). For an
asymptotically anti-de Sitter black hole, we define an ergoregion to be a
region where the horizon Killing field is spacelike; such a region, if present,
would normally occur near infinity. We show that for black holes with
ergoregions, initial data can be constructed such that $\mathcal{E}<0$, so all
such black holes are unstable. To obtain such initial data, we first construct
an approximate solution to the constraint equations using the WKB method, and
then we use the Corvino-Schoen technique to obtain an exact solution. We also
discuss the case of charged asymptotically anti-de Sitter black holes with
generalized ergoregions.
|
[
{
"created": "Tue, 8 Dec 2015 21:00:07 GMT",
"version": "v1"
}
] |
2016-05-25
|
[
[
"Green",
"Stephen R.",
""
],
[
"Hollands",
"Stefan",
""
],
[
"Ishibashi",
"Akihiro",
""
],
[
"Wald",
"Robert M.",
""
]
] |
We study the linear stability of asymptotically anti-de Sitter black holes in general relativity in spacetime dimension $d\ge4$. Our approach is an adaptation of the general framework of Hollands and Wald, which gives a stability criterion in terms of the sign of the canonical energy, $\mathcal{E}$. The general framework was originally formulated for static or stationary and axisymmetric black holes in the asymptotically flat case, and the stability analysis for that case applies only to axisymmetric perturbations. However, in the asymptotically anti-de Sitter case, the stability analysis requires only that the black hole have a single Killing field normal to the horizon and there are no restrictions on the perturbations (apart from smoothness and appropriate behavior at infinity). For an asymptotically anti-de Sitter black hole, we define an ergoregion to be a region where the horizon Killing field is spacelike; such a region, if present, would normally occur near infinity. We show that for black holes with ergoregions, initial data can be constructed such that $\mathcal{E}<0$, so all such black holes are unstable. To obtain such initial data, we first construct an approximate solution to the constraint equations using the WKB method, and then we use the Corvino-Schoen technique to obtain an exact solution. We also discuss the case of charged asymptotically anti-de Sitter black holes with generalized ergoregions.
|
1706.01486
|
Zvi Bern
|
Zvi Bern, Alex Edison, David Kosower and Julio Parra-Martinez
|
Curvature-Squared Multiplets, Evanescent Effects and the U(1) Anomaly in
N = 4 Supergravity
|
32 pages, 4 figures, RevTeX
|
Phys. Rev. D 96, 066004 (2017)
|
10.1103/PhysRevD.96.066004
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We evaluate one-loop amplitudes of N = 4 supergravity in D dimensions using
the double-copy procedure that expresses gravity integrands in terms of
corresponding ones in Yang--Mills theory.We organize the calculation in terms
of a set of gauge-invariant tensors, allowing us to identify evanescent
contributions. Among the latter, we find the matrix elements of supersymmetric
completions of curvature-squared operators. In addition, we find that such
evanescent terms and the U(1)-anomalous contributions to one-loop N = 4
amplitudes are tightly intertwined. The appearance of evanescent operators in N
= 4 supergravity and their relation to anomalies raises the question of their
effect on the known four-loop divergence in this theory. We provide bases of
gauge-invariant tensors and corresponding projectors useful for Yang--Mills
theories as a by-product of our analysis.
|
[
{
"created": "Mon, 5 Jun 2017 18:30:41 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Aug 2017 23:05:38 GMT",
"version": "v2"
},
{
"created": "Sat, 18 Nov 2017 22:16:37 GMT",
"version": "v3"
}
] |
2017-11-21
|
[
[
"Bern",
"Zvi",
""
],
[
"Edison",
"Alex",
""
],
[
"Kosower",
"David",
""
],
[
"Parra-Martinez",
"Julio",
""
]
] |
We evaluate one-loop amplitudes of N = 4 supergravity in D dimensions using the double-copy procedure that expresses gravity integrands in terms of corresponding ones in Yang--Mills theory.We organize the calculation in terms of a set of gauge-invariant tensors, allowing us to identify evanescent contributions. Among the latter, we find the matrix elements of supersymmetric completions of curvature-squared operators. In addition, we find that such evanescent terms and the U(1)-anomalous contributions to one-loop N = 4 amplitudes are tightly intertwined. The appearance of evanescent operators in N = 4 supergravity and their relation to anomalies raises the question of their effect on the known four-loop divergence in this theory. We provide bases of gauge-invariant tensors and corresponding projectors useful for Yang--Mills theories as a by-product of our analysis.
|
hep-th/9704174
|
Joao Nunes
|
Jose M. Isidro, Avijit Mukherjee, Joao P. Nunes, Howard J. Schnitzer
|
On the Picard-Fuchs Equations for Massive N=2 Seiberg-Witten Theories
|
29 pages, uses phyzzx.tex
|
Nucl.Phys. B502 (1997) 363-382
|
10.1016/S0550-3213(97)00459-8
| null |
hep-th
| null |
A new method to obtain the Picard-Fuchs equations of effective, N=2
supersymmetric gauge theories with massive matter hypermultiplets in the
fundamental representation is presented. It generalises a previously described
method to derive the Picard-Fuchs equations of both pure super Yang-Mills and
supersymmetric gauge theories with massless matter hypermultiplets. The
techniques developed are well suited to symbolic computer calculations.
|
[
{
"created": "Thu, 24 Apr 1997 17:48:39 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Isidro",
"Jose M.",
""
],
[
"Mukherjee",
"Avijit",
""
],
[
"Nunes",
"Joao P.",
""
],
[
"Schnitzer",
"Howard J.",
""
]
] |
A new method to obtain the Picard-Fuchs equations of effective, N=2 supersymmetric gauge theories with massive matter hypermultiplets in the fundamental representation is presented. It generalises a previously described method to derive the Picard-Fuchs equations of both pure super Yang-Mills and supersymmetric gauge theories with massless matter hypermultiplets. The techniques developed are well suited to symbolic computer calculations.
|
1911.02078
|
Nosheen Akbar
|
Nosheen Akbar
|
Properties of Bc Mesons and Variational Constraints on their Masses
|
10 pages, 4 figures
| null |
10.1134/S1063778820040031
| null |
hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Spectrum, radii, radial wave functions at origin, decay constants and
momentum widths for radial and orbital excited $B_c$ mesons are derived within
non-relativistic quark model framework through finding numerical solution of
the Schrodinger equation by shooting method. Masses of orbitally excited states
are derived with a more simpler method that is developed by combining the
uncertainty and variational principles. Masses of $B_c$ mesons are also
calculated by using Momentum widths. Besides calculations, theoretical results
are compared with the experimental observations which have implications for
scalar form factors and leptonic decays of $B_c$ mesons.
|
[
{
"created": "Tue, 5 Nov 2019 20:39:17 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Jan 2020 20:37:17 GMT",
"version": "v2"
}
] |
2020-10-28
|
[
[
"Akbar",
"Nosheen",
""
]
] |
Spectrum, radii, radial wave functions at origin, decay constants and momentum widths for radial and orbital excited $B_c$ mesons are derived within non-relativistic quark model framework through finding numerical solution of the Schrodinger equation by shooting method. Masses of orbitally excited states are derived with a more simpler method that is developed by combining the uncertainty and variational principles. Masses of $B_c$ mesons are also calculated by using Momentum widths. Besides calculations, theoretical results are compared with the experimental observations which have implications for scalar form factors and leptonic decays of $B_c$ mesons.
|
hep-ph/9304301
|
Per Osland
|
G\"oran F\"aldt and Per Osland
|
Decorated-box-diagram-contributions to Bhabha scattering. (II)
|
10 pages + 1 PostScript figure appended, plain TEX, with private
macros (attached) Bergen Scientific/Technical Report No. 1993-05
|
Nucl.Phys. B413 (1994) 64-72
|
10.1016/0550-3213(94)90613-0
| null |
hep-ph
| null |
We evaluate, in the high-energy limit, $s\gg|t|\gg m^2\gg\lambda^2$, the sum
of amplitudes corresponding to a class of Feynman diagrams describing two-loop
virtual photonic corrections to Bhabha scattering. The diagrams considered are
box and crossed box diagrams with a vacuum polarization insertion in one of the
photon lines.
|
[
{
"created": "Tue, 27 Apr 1993 06:49:41 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Fäldt",
"Göran",
""
],
[
"Osland",
"Per",
""
]
] |
We evaluate, in the high-energy limit, $s\gg|t|\gg m^2\gg\lambda^2$, the sum of amplitudes corresponding to a class of Feynman diagrams describing two-loop virtual photonic corrections to Bhabha scattering. The diagrams considered are box and crossed box diagrams with a vacuum polarization insertion in one of the photon lines.
|
1609.06358
|
Andrei Lebed G
|
Andrei G. Lebed
|
Breakdown of the equivalence between active gravitational mass and
energy for a quantum body
|
4 pages
|
Journal of Physics: Conference Series, vol. 738, 012036 (2016)
|
10.1088/1742-6596/738/1/012036
| null |
gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We determine active gravitational mass operator of the simplest composite
quantum body - a hydrogen atom - within the semiclassical approach to the
Einstein equation for a gravitational field. We show that the expectation value
of the mass is equivalent to energy for stationary quantum states. On the other
hand, it occurs that, for quantum superpositions of stationary states with
constant expectation values of energy, the expectation values of the
gravitational mass exhibit time-dependent oscillations. This breaks the
equivalence between active gravitational mass and energy and can be observed as
a macroscopic effect for a macroscopic ensemble of coherent quantum states of
the atoms. The corresponding experiment could be the first direct observation
of quantum effects in General Relativity.
|
[
{
"created": "Tue, 20 Sep 2016 21:11:29 GMT",
"version": "v1"
}
] |
2016-09-28
|
[
[
"Lebed",
"Andrei G.",
""
]
] |
We determine active gravitational mass operator of the simplest composite quantum body - a hydrogen atom - within the semiclassical approach to the Einstein equation for a gravitational field. We show that the expectation value of the mass is equivalent to energy for stationary quantum states. On the other hand, it occurs that, for quantum superpositions of stationary states with constant expectation values of energy, the expectation values of the gravitational mass exhibit time-dependent oscillations. This breaks the equivalence between active gravitational mass and energy and can be observed as a macroscopic effect for a macroscopic ensemble of coherent quantum states of the atoms. The corresponding experiment could be the first direct observation of quantum effects in General Relativity.
|
1402.6548
|
Frederic P. Schuller
|
Frederic P. Schuller and Christof Witte
|
How quantizable matter gravitates: a practitioner's guide
|
45 pages, no figures
| null |
10.1103/PhysRevD.89.104061
| null |
gr-qc hep-ph hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present the practical step-by-step procedure for constructing canonical
gravitational dynamics and kinematics directly from any previously specified
quantizable classical matter dynamics, and then illustrate the application of
this recipe by way of two completely worked case studies. Following the same
procedure, any phenomenological proposal for fundamental matter dynamics must
be supplemented with a suitable gravity theory providing the coefficients and
kinematical interpretation of the matter equations, before any of the two
theories can be meaningfully compared to experimental data.
|
[
{
"created": "Wed, 26 Feb 2014 14:08:34 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"Schuller",
"Frederic P.",
""
],
[
"Witte",
"Christof",
""
]
] |
We present the practical step-by-step procedure for constructing canonical gravitational dynamics and kinematics directly from any previously specified quantizable classical matter dynamics, and then illustrate the application of this recipe by way of two completely worked case studies. Following the same procedure, any phenomenological proposal for fundamental matter dynamics must be supplemented with a suitable gravity theory providing the coefficients and kinematical interpretation of the matter equations, before any of the two theories can be meaningfully compared to experimental data.
|
hep-th/0212112
|
David Bailin
|
D. Bailin, G. V. Kraniotis, A.Love
|
Intersecting D5-brane models with massive vector-like leptons
|
15 pages, LaTeX file
|
JHEP 0302 (2003) 052
|
10.1088/1126-6708/2003/02/052
|
SUSX-TH-02-035
|
hep-th
| null |
We construct eight-stack intersecting D5-brane models, with an orbifold
transverse space, that yield the (non-supersymmetric) standard model up to
vector-like leptons. The matter includes right-chiral neutrinos and the models
have the renormalisable Yukawa couplings to tachyonic Higgs doublets needed to
generate mass terms for {\it all} matter, including the vector-like leptons.
The models are constrained by the requirement that twisted tadpoles cancel,
that the gauge boson coupled to the weak hypercharge $U(1)_Y$ does not get a
string-scale mass via a generalised Green-Schwarz mechanism, and that there are
no surviving, unwanted gauged U(1) symmetries coupled to matter.
Gauge coupling constant ratios close to those measured are easily obtained
for reasonable values of the parameters, consistently with having the string
scale close to the electroweak scale, as required to avoid the hierarchy
problem. Unwanted (colour-triplet, charged-singlet, and neutral-singlet) scalar
tachyons can be removed by a suitable choice of the parameters.
|
[
{
"created": "Tue, 10 Dec 2002 17:22:07 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Bailin",
"D.",
""
],
[
"Kraniotis",
"G. V.",
""
],
[
"Love",
"A.",
""
]
] |
We construct eight-stack intersecting D5-brane models, with an orbifold transverse space, that yield the (non-supersymmetric) standard model up to vector-like leptons. The matter includes right-chiral neutrinos and the models have the renormalisable Yukawa couplings to tachyonic Higgs doublets needed to generate mass terms for {\it all} matter, including the vector-like leptons. The models are constrained by the requirement that twisted tadpoles cancel, that the gauge boson coupled to the weak hypercharge $U(1)_Y$ does not get a string-scale mass via a generalised Green-Schwarz mechanism, and that there are no surviving, unwanted gauged U(1) symmetries coupled to matter. Gauge coupling constant ratios close to those measured are easily obtained for reasonable values of the parameters, consistently with having the string scale close to the electroweak scale, as required to avoid the hierarchy problem. Unwanted (colour-triplet, charged-singlet, and neutral-singlet) scalar tachyons can be removed by a suitable choice of the parameters.
|
hep-ph/9503381
|
Eric Laenen
|
E. Laenen and E. Levin
|
A new evolution equation
|
29 papes Latex. 5 figs.
|
Nucl.Phys.B451:207-230,1995
|
10.1016/0550-3213(95)00359-Z
|
CERN-TH/95-61, TAUP-2226-95, CBPF NF-012/95
|
hep-ph
| null |
We propose a new evolution equation for the gluon density relevant for the
region of small $x_B$. It generalizes the GLR equation and allows deeper
penetration in dense parton systems than the GLR equation does. This
generalization consists of taking shadowing effects more comprehensively into
account by including multigluon correlations, and allowing for an arbitrary
initial gluon distribution in a hadron. We solve the new equation for fixed
$\alpha_s$. We find that the effects of multigluon correlations on the
deep-inelastic structure function are small.
|
[
{
"created": "Mon, 20 Mar 1995 10:11:39 GMT",
"version": "v1"
}
] |
2009-09-25
|
[
[
"Laenen",
"E.",
""
],
[
"Levin",
"E.",
""
]
] |
We propose a new evolution equation for the gluon density relevant for the region of small $x_B$. It generalizes the GLR equation and allows deeper penetration in dense parton systems than the GLR equation does. This generalization consists of taking shadowing effects more comprehensively into account by including multigluon correlations, and allowing for an arbitrary initial gluon distribution in a hadron. We solve the new equation for fixed $\alpha_s$. We find that the effects of multigluon correlations on the deep-inelastic structure function are small.
|
hep-th/9309125
|
Chris Pope
|
C.N. Pope
|
W-Strings 93
|
13 pages, Plain TeX, CTP TAMU-55/93
| null |
10.1142/9789814447072_0011
| null |
hep-th
| null |
We present a review of the status of $W$ string theories, their physical
spectra, and their interactions. (Based on review talks given at the Trieste
Spring Workshop, and the Strings 93 meeting at Berkeley, May 1993.)
|
[
{
"created": "Thu, 23 Sep 1993 04:37:03 GMT",
"version": "v1"
}
] |
2016-11-03
|
[
[
"Pope",
"C. N.",
""
]
] |
We present a review of the status of $W$ string theories, their physical spectra, and their interactions. (Based on review talks given at the Trieste Spring Workshop, and the Strings 93 meeting at Berkeley, May 1993.)
|
2309.15802
|
Runqing Wang
|
Antonio Delgado, Adam Martin, Runqing Wang
|
Hidden U(N) Symmetry behind N=1 Superamplitudes
|
29 pages, 10 figures
| null |
10.1007/JHEP11(2023)215
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we develop a Young diagram approach to constructing higher
dimensional operators formed from massless superfields and their
superderivatives in $\mathcal{N}=1$ supersymmetry. These operators are in
one-to-one correspondence with non-factorizable terms in on-shell
superamplitudes, which can be studied with massless spinor helicity techniques.
By relating all spin-helicity variables to certain representations under a
hidden $U(N)$ symmetry behind the theory, we show each non-factorizable
superamplitude can be identified with a specific Young tableau. The desired
tableau is picked out of a more general set of $U(N)$ tensor products by
enforcing the supersymmetric Ward identities. We then relate these Young
tableaux to higher dimensional superfield operators and list the rules to read
operators directly from Young tableau. Using this method, we present several
illustrative examples.
|
[
{
"created": "Wed, 27 Sep 2023 17:21:28 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Nov 2023 19:50:12 GMT",
"version": "v2"
}
] |
2023-12-04
|
[
[
"Delgado",
"Antonio",
""
],
[
"Martin",
"Adam",
""
],
[
"Wang",
"Runqing",
""
]
] |
In this paper we develop a Young diagram approach to constructing higher dimensional operators formed from massless superfields and their superderivatives in $\mathcal{N}=1$ supersymmetry. These operators are in one-to-one correspondence with non-factorizable terms in on-shell superamplitudes, which can be studied with massless spinor helicity techniques. By relating all spin-helicity variables to certain representations under a hidden $U(N)$ symmetry behind the theory, we show each non-factorizable superamplitude can be identified with a specific Young tableau. The desired tableau is picked out of a more general set of $U(N)$ tensor products by enforcing the supersymmetric Ward identities. We then relate these Young tableaux to higher dimensional superfield operators and list the rules to read operators directly from Young tableau. Using this method, we present several illustrative examples.
|
hep-ph/0110367
|
Giovanni Ridolfi
|
G. Ridolfi
|
Polarized parton distributions from charged-current deep-inelastic
scattering and future neutrino factories
|
5 pages Latex. Talk given at the International Workshop on the Spin
Structure of the Proton and Polarized Collider Physics, ECT, Trento, July
23-28, 2001
|
Nucl.Phys.Proc.Suppl. 105 (2002) 95-99
|
10.1016/S0920-5632(01)01959-4
|
GeF/TH/14-01
|
hep-ph
| null |
The capabilities of a neutrino factory in the determination of polarized
parton distributions from charged-current deep-inelastic scattering experiments
is discussed. We present a study of the accuracy in the determination of
polarized parton distributions that would be possible with such a facility. We
show that these measurements have the potential to distinguish between
different theoretical scenarios for the proton spin structure.
|
[
{
"created": "Mon, 29 Oct 2001 14:47:53 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Ridolfi",
"G.",
""
]
] |
The capabilities of a neutrino factory in the determination of polarized parton distributions from charged-current deep-inelastic scattering experiments is discussed. We present a study of the accuracy in the determination of polarized parton distributions that would be possible with such a facility. We show that these measurements have the potential to distinguish between different theoretical scenarios for the proton spin structure.
|
2303.11696
|
Chen Lan
|
Chen Lan, Hao Yang, Yang Guo and Yan-Gang Miao
|
Regular black holes: A short topic review
|
Final version to appear in International Journal of Theoretical
Physics. Major revision, 45 pages, 2 figures, some references have ben added
|
Int. J. Theor. Phys. 62, 202 (2023)
|
10.1007/s10773-023-05454-1
| null |
gr-qc hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
The essential singularity in Einstein's gravity can be avoidable if the
preconditions of Penrose's theorem can be bypassed, i.e., if the strong energy
condition is broken in the vicinity of a black hole center. The singularity
mentioned here includes two aspects: (i) the divergence of curvature
invariants, and (ii) the incompleteness of geodesics. Both aspects are now
taken into account in order to determine whether a black hole contains
essential singularities. In this sense, black holes without essential
singularities are dubbed regular (non-singular) black holes. The regular black
holes have some intriguing phenomena that are different from those of singular
black holes, and such phenomena have inspired numerous studies. In this review,
we summarize the current topics that are associated with regular black holes.
|
[
{
"created": "Tue, 21 Mar 2023 09:33:36 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Mar 2023 12:17:13 GMT",
"version": "v2"
},
{
"created": "Tue, 18 Jul 2023 13:58:01 GMT",
"version": "v3"
},
{
"created": "Wed, 6 Sep 2023 00:46:41 GMT",
"version": "v4"
}
] |
2023-09-07
|
[
[
"Lan",
"Chen",
""
],
[
"Yang",
"Hao",
""
],
[
"Guo",
"Yang",
""
],
[
"Miao",
"Yan-Gang",
""
]
] |
The essential singularity in Einstein's gravity can be avoidable if the preconditions of Penrose's theorem can be bypassed, i.e., if the strong energy condition is broken in the vicinity of a black hole center. The singularity mentioned here includes two aspects: (i) the divergence of curvature invariants, and (ii) the incompleteness of geodesics. Both aspects are now taken into account in order to determine whether a black hole contains essential singularities. In this sense, black holes without essential singularities are dubbed regular (non-singular) black holes. The regular black holes have some intriguing phenomena that are different from those of singular black holes, and such phenomena have inspired numerous studies. In this review, we summarize the current topics that are associated with regular black holes.
|
0904.0509
|
Peter Koroteev
|
Ivan Gordeli, Peter Koroteev
|
Comments on Holography with Broken Lorentz Invariance
|
10 pages, published in PRD
|
Phys.Rev.D80:126001,2009
|
10.1103/PhysRevD.80.126001
| null |
hep-th cond-mat.str-el gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently a family of solutions of Einstein equations in backgrounds with
broken Lorentz invariance was found ArXiv:0712.1136. We show that the
gravitational solution recently obtained by Kachru, Liu and Mulligan in
ArXiv:0808.1725 is a part of the former solution which was derived earlier in
the framework of extra dimensional theories. We show how the energy-momentum
and Einstein tensors are related and establish a correspondence between
parameters which govern Lorentz invariance violation. Then we demonstrate that
scaling behavior of two point correlation functions of local operators in
scalar field theory is reproduced correctly for two cases with critical values
of scaling parameters. Therefore, we complete the dictionary of "tree-level"
duality for all known solutions of the bulk theory. In the end we speculate on
relations between RG flow of a boundary theory and asymptotic behavior of
gravitational solutions in the bulk.
|
[
{
"created": "Fri, 3 Apr 2009 19:53:02 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Oct 2009 18:46:35 GMT",
"version": "v2"
},
{
"created": "Tue, 1 Dec 2009 15:24:07 GMT",
"version": "v3"
}
] |
2009-12-17
|
[
[
"Gordeli",
"Ivan",
""
],
[
"Koroteev",
"Peter",
""
]
] |
Recently a family of solutions of Einstein equations in backgrounds with broken Lorentz invariance was found ArXiv:0712.1136. We show that the gravitational solution recently obtained by Kachru, Liu and Mulligan in ArXiv:0808.1725 is a part of the former solution which was derived earlier in the framework of extra dimensional theories. We show how the energy-momentum and Einstein tensors are related and establish a correspondence between parameters which govern Lorentz invariance violation. Then we demonstrate that scaling behavior of two point correlation functions of local operators in scalar field theory is reproduced correctly for two cases with critical values of scaling parameters. Therefore, we complete the dictionary of "tree-level" duality for all known solutions of the bulk theory. In the end we speculate on relations between RG flow of a boundary theory and asymptotic behavior of gravitational solutions in the bulk.
|
2103.01920
|
Nabil Iqbal
|
Nabil Iqbal, Simon F. Ross
|
Towards traversable wormholes from force-free plasmas
|
19 pages, 1 figure; v2: small clarifications, typos corrected; v3:
further typos corrected
|
SciPost Phys. 12, 086 (2022)
|
10.21468/SciPostPhys.12.3.086
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
The near-horizon region of magnetically charged black holes can have very
strong magnetic fields. A useful low-energy effective theory for fluctuations
of the fields, coupled to electrically charged particles, is force-free
electrodynamics. The low energy collective excitations include a large number
of Alfven wave modes, which have a massless dispersion relation along the field
worldlines. We attempt to construct traversable wormhole solutions using the
negative Casimir energy of the Alfven wave modes, analogously to the recent
construction using charged massless fermions. The behaviour of massless scalars
in the near-horizon region implies that the size of the wormholes is strongly
restricted and cannot be made large, even though the force free description is
valid in a larger regime.
|
[
{
"created": "Tue, 2 Mar 2021 18:23:14 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Jun 2021 14:26:03 GMT",
"version": "v2"
},
{
"created": "Tue, 5 Oct 2021 11:21:10 GMT",
"version": "v3"
}
] |
2022-03-09
|
[
[
"Iqbal",
"Nabil",
""
],
[
"Ross",
"Simon F.",
""
]
] |
The near-horizon region of magnetically charged black holes can have very strong magnetic fields. A useful low-energy effective theory for fluctuations of the fields, coupled to electrically charged particles, is force-free electrodynamics. The low energy collective excitations include a large number of Alfven wave modes, which have a massless dispersion relation along the field worldlines. We attempt to construct traversable wormhole solutions using the negative Casimir energy of the Alfven wave modes, analogously to the recent construction using charged massless fermions. The behaviour of massless scalars in the near-horizon region implies that the size of the wormholes is strongly restricted and cannot be made large, even though the force free description is valid in a larger regime.
|
hep-th/0309115
|
Rui Neves
|
Rui Neves and Cenalo Vaz
|
Conformal Bulk Fields, Dark Energy and Brane Dynamics
|
12 pages, latex, 2 figures. Talk given by Rui Neves at the Fourth
International Conference on Physics Beyond the Standard Model, Beyond the
Desert 03, Fundamental Experimental and Theoretical Developments in Particle
Physics, Accelerator, Non-Accelerator and Space Approaches, Max Planck
Institut f. Kernphysik/MPI Heidelberg, Castle Ringberg, Tegernsee, Germany,
9-14 June 2003. To be published in the Conference Proceedings,
Springer-Verlag, Heidelberg, Germany
| null | null | null |
hep-th
| null |
In the Randall-Sundrum scenario we analyze the dynamics of a spherically
symmetric 3-brane when the bulk is filled with matter fields. Considering a
global conformal transformation whose factor is the $Z_2$ symmetric warp we
find a new set of exact dynamical solutions for which gravity is bound to the
brane. The set corresponds to a certain class of conformal bulk fields. We
discuss the geometries which describe the dynamics on the brane of polytropic
dark energy.
|
[
{
"created": "Thu, 11 Sep 2003 09:56:08 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Neves",
"Rui",
""
],
[
"Vaz",
"Cenalo",
""
]
] |
In the Randall-Sundrum scenario we analyze the dynamics of a spherically symmetric 3-brane when the bulk is filled with matter fields. Considering a global conformal transformation whose factor is the $Z_2$ symmetric warp we find a new set of exact dynamical solutions for which gravity is bound to the brane. The set corresponds to a certain class of conformal bulk fields. We discuss the geometries which describe the dynamics on the brane of polytropic dark energy.
|
1301.2345
|
Tim Stefaniak
|
Philip Bechtle, Oliver Brein, Sven Heinemeyer, Oscar St{\aa}l, Tim
Stefaniak, Georg Weiglein, Karina Williams
|
Recent Developments in HiggsBounds and a Preview of HiggsSignals
|
6 pages, 3 figures; Proceedings of "Prospects for Charged Higgs
Discovery at Colliders", October 2012, Uppsala, Sweden
| null | null |
BONN-TH-2013-01, DESY 13-004
|
hep-ph hep-ex
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We report on recent developments in the public computer code HiggsBounds,
which confronts arbitrary Higgs sector predictions with 95% C.L. exclusion
limits from Higgs searches at the LEP, Tevatron and LHC experiments. We discuss
in detail the performance of the Standard Model (SM) likeness test as
implemented in the latest version HiggsBounds-3.8.0, whose outcome decides
whether a search for a SM Higgs boson can be applied to a model beyond the SM.
Furthermore, we give a preview of features in the upcoming version
HiggsBounds-4.0.0 and the new program HiggsSignals, which performs a
chi-squared test of Higgs sector predictions against the signal rate and mass
measurements from Higgs boson analyses at the Tevatron and LHC. This is
illustrated with an example where the heavier CP-even Higgs boson of the
Minimal Supersymmetric Standard Model (MSSM) is considered as an explanation of
the LHC Higgs signal at ~126 GeV.
|
[
{
"created": "Thu, 10 Jan 2013 22:01:11 GMT",
"version": "v1"
}
] |
2013-01-14
|
[
[
"Bechtle",
"Philip",
""
],
[
"Brein",
"Oliver",
""
],
[
"Heinemeyer",
"Sven",
""
],
[
"Stål",
"Oscar",
""
],
[
"Stefaniak",
"Tim",
""
],
[
"Weiglein",
"Georg",
""
],
[
"Williams",
"Karina",
""
]
] |
We report on recent developments in the public computer code HiggsBounds, which confronts arbitrary Higgs sector predictions with 95% C.L. exclusion limits from Higgs searches at the LEP, Tevatron and LHC experiments. We discuss in detail the performance of the Standard Model (SM) likeness test as implemented in the latest version HiggsBounds-3.8.0, whose outcome decides whether a search for a SM Higgs boson can be applied to a model beyond the SM. Furthermore, we give a preview of features in the upcoming version HiggsBounds-4.0.0 and the new program HiggsSignals, which performs a chi-squared test of Higgs sector predictions against the signal rate and mass measurements from Higgs boson analyses at the Tevatron and LHC. This is illustrated with an example where the heavier CP-even Higgs boson of the Minimal Supersymmetric Standard Model (MSSM) is considered as an explanation of the LHC Higgs signal at ~126 GeV.
|
1108.1826
|
C\'edric Huwyler
|
C\'edric Huwyler, Antoine Klein, Philippe Jetzer
|
Testing General Relativity with LISA including Spin Precession and
Higher Harmonics in the Waveform
|
33 pages, 37 figures
| null |
10.1103/PhysRevD.86.084028
| null |
gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the accuracy at which a LISA-like space-based gravitational wave
detector will be able to observe deviations from General Relativity in the low
frequency approximation. To do so, we introduce six correction parameters that
account for modified gravity in the second post-Newtonian gravitational wave
phase for inspiralling supermassive black hole binaries with spin precession on
quasi-circular orbits. Our implementation can be regarded as a subset of the
ppE formalism developed by Yunes and Pretorius, being able to investigate also
next-to-leading order effects. In order to find error distributions for the
alternative theory parameters, we use the Fisher information formalism and
carry out Monte Carlo simulations for 17 different binary black hole mass
configurations in the range 10^5 Msun < M < 10^8 Msun with 10^3 randomly
distributed points in the parameter space each, comparing the full (FWF) and
restricted (RWF) version of the gravitational waveform. We find that the
binaries can roughly be separated into two groups: one with low (< ~10^7 Msun)
and one with high total masses (> ~10^7 Msun). The RWF errors on the
alternative theory parameters are two orders of magnitude higher than the FWF
errors for high-mass binaries while almost comparable for low-mass binaries.
Due to dilution of the available information, the accuracy of the binary
parameters is reduced by factors of a few, except for the luminosity distance
which is affected more seriously in the high-mass regime. As an application and
to compare our research with previous work, we compute an optimal lower bound
on the graviton Compton wavelength which is increased by a factor of ~1.6 when
using the FWF.
|
[
{
"created": "Mon, 8 Aug 2011 23:07:48 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Aug 2012 09:39:22 GMT",
"version": "v2"
}
] |
2015-05-30
|
[
[
"Huwyler",
"Cédric",
""
],
[
"Klein",
"Antoine",
""
],
[
"Jetzer",
"Philippe",
""
]
] |
We compute the accuracy at which a LISA-like space-based gravitational wave detector will be able to observe deviations from General Relativity in the low frequency approximation. To do so, we introduce six correction parameters that account for modified gravity in the second post-Newtonian gravitational wave phase for inspiralling supermassive black hole binaries with spin precession on quasi-circular orbits. Our implementation can be regarded as a subset of the ppE formalism developed by Yunes and Pretorius, being able to investigate also next-to-leading order effects. In order to find error distributions for the alternative theory parameters, we use the Fisher information formalism and carry out Monte Carlo simulations for 17 different binary black hole mass configurations in the range 10^5 Msun < M < 10^8 Msun with 10^3 randomly distributed points in the parameter space each, comparing the full (FWF) and restricted (RWF) version of the gravitational waveform. We find that the binaries can roughly be separated into two groups: one with low (< ~10^7 Msun) and one with high total masses (> ~10^7 Msun). The RWF errors on the alternative theory parameters are two orders of magnitude higher than the FWF errors for high-mass binaries while almost comparable for low-mass binaries. Due to dilution of the available information, the accuracy of the binary parameters is reduced by factors of a few, except for the luminosity distance which is affected more seriously in the high-mass regime. As an application and to compare our research with previous work, we compute an optimal lower bound on the graviton Compton wavelength which is increased by a factor of ~1.6 when using the FWF.
|
hep-th/9707137
| null |
A. Bassetto, G. Nardelli and E. Vianello
|
The Schwinger Model in Light-Cone Gauge
|
CERN-TH/97-164, 35 pages, revTeX, no figures
|
Phys.Rev. D56 (1997) 3631-3645
|
10.1103/PhysRevD.56.3631
| null |
hep-th hep-ph
| null |
The Schwinger model, defined in the space interval $-L \le x \le L$, with
(anti)periodic boundary conditions, is canonically quantized in the light-cone
gauge $A_-=0$ by means of equal-time (anti)commutation relations. The
transformation diagonalizing the complete Hamiltonian is explicitly
constructed, thereby giving spectrum, chiral anomaly and condensate. The
structures of Hilbert spaces related both to free and to interacting
Hamiltonians are completely exhibited. Besides the usual massive field, two
chiral massless fields are present, which can be consistently expunged from the
physical space by means of a subsidiary condition of a Gupta-Bleuler type. The
chiral condensate does provide the correct non-vanishing value in the
decompactification limit $L \to \infty$.
|
[
{
"created": "Tue, 15 Jul 1997 10:18:25 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Bassetto",
"A.",
""
],
[
"Nardelli",
"G.",
""
],
[
"Vianello",
"E.",
""
]
] |
The Schwinger model, defined in the space interval $-L \le x \le L$, with (anti)periodic boundary conditions, is canonically quantized in the light-cone gauge $A_-=0$ by means of equal-time (anti)commutation relations. The transformation diagonalizing the complete Hamiltonian is explicitly constructed, thereby giving spectrum, chiral anomaly and condensate. The structures of Hilbert spaces related both to free and to interacting Hamiltonians are completely exhibited. Besides the usual massive field, two chiral massless fields are present, which can be consistently expunged from the physical space by means of a subsidiary condition of a Gupta-Bleuler type. The chiral condensate does provide the correct non-vanishing value in the decompactification limit $L \to \infty$.
|
gr-qc/0406030
|
Albert V. Minkevich
|
Albert V. Minkevich
|
Non-Singular Cosmology and Gauge Theories of Gravitation
|
LaTeX2e, 16 pages
| null |
10.1142/9789812702296_0003
| null |
gr-qc
| null |
The resolution of the problem of cosmological singularity in the framework of
gauge theories of gravitation is discussed. Generalized cosmological Friedmann
equations for homogeneous isotropic models filled by interacting scalar fields
and usual gravitating matter are deduced. It is shown that generic feature of
cosmological models of flat, open and closed type is their regular bouncing
character.
|
[
{
"created": "Tue, 8 Jun 2004 15:25:48 GMT",
"version": "v1"
}
] |
2017-08-23
|
[
[
"Minkevich",
"Albert V.",
""
]
] |
The resolution of the problem of cosmological singularity in the framework of gauge theories of gravitation is discussed. Generalized cosmological Friedmann equations for homogeneous isotropic models filled by interacting scalar fields and usual gravitating matter are deduced. It is shown that generic feature of cosmological models of flat, open and closed type is their regular bouncing character.
|
hep-ph/9908303
|
Alexander V. Kisselev
|
R.J.M. Covolan, A.V. Kisselev and M.S. Soares
|
Charm Contribution to the Structure Function in Diffractive Deep
Inelastic Scattering
|
16 pages, RevTeX, 6 figures, to be published in Physical Review D
|
Phys.Rev. D60 (1999) 114009
|
10.1103/PhysRevD.60.114009
| null |
hep-ph
| null |
The charm contribution to the structure functions of diffractive deep
inelastic scattering is considered here within the context of the
Ingelman-Schlein model. Numerical estimations of this contribution are made
from parametrizations of the HERA data. Influence of the Pomeron flux factor is
analized as well as the effect of the shape of the initial parton distribution
employed in the calculations. The obtained results indicate that the charm
contribution to diffractive deep inelastic process might be large enough to be
measured in the HERA experiments.
|
[
{
"created": "Mon, 9 Aug 1999 12:39:17 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Covolan",
"R. J. M.",
""
],
[
"Kisselev",
"A. V.",
""
],
[
"Soares",
"M. S.",
""
]
] |
The charm contribution to the structure functions of diffractive deep inelastic scattering is considered here within the context of the Ingelman-Schlein model. Numerical estimations of this contribution are made from parametrizations of the HERA data. Influence of the Pomeron flux factor is analized as well as the effect of the shape of the initial parton distribution employed in the calculations. The obtained results indicate that the charm contribution to diffractive deep inelastic process might be large enough to be measured in the HERA experiments.
|
1910.09568
|
Federico Carta
|
Federico Carta, Simone Giacomelli, Hirotaka Hayashi, Raffaele Savelli
|
The Geometry of SUSY Enhancement
|
40 pages, 4 figures
| null |
10.1007/JHEP02(2020)106
| null |
hep-th
|
http://creativecommons.org/publicdomain/zero/1.0/
|
We provide a precise geometric picture that demystifies the phenomenon of
supersymmetry enhancement along certain RG flows of four-dimensional field
theories, recently discovered by Maruyoshi and Song. It applies to theories of
arbitrary rank and it is based on a hyperk\"ahler-structure restoration on the
moduli space of solutions of (twisted) Hitchin systems, which underly the
class-S construction we use as an engineering tool. Along the way, we formulate
a necessary algebraic condition for supersymmetry enhancement, and, when
enhancement occurs, we are able to derive the Seiberg-Witten geometry and all
conformal dimensions of Coulomb-branch operators for the infrared theory,
without using a-maximization.
|
[
{
"created": "Mon, 21 Oct 2019 18:00:19 GMT",
"version": "v1"
}
] |
2020-03-18
|
[
[
"Carta",
"Federico",
""
],
[
"Giacomelli",
"Simone",
""
],
[
"Hayashi",
"Hirotaka",
""
],
[
"Savelli",
"Raffaele",
""
]
] |
We provide a precise geometric picture that demystifies the phenomenon of supersymmetry enhancement along certain RG flows of four-dimensional field theories, recently discovered by Maruyoshi and Song. It applies to theories of arbitrary rank and it is based on a hyperk\"ahler-structure restoration on the moduli space of solutions of (twisted) Hitchin systems, which underly the class-S construction we use as an engineering tool. Along the way, we formulate a necessary algebraic condition for supersymmetry enhancement, and, when enhancement occurs, we are able to derive the Seiberg-Witten geometry and all conformal dimensions of Coulomb-branch operators for the infrared theory, without using a-maximization.
|
2202.03436
|
Daniel Baxter
|
Peter Abbamonte, Daniel Baxter, Yonatan Kahn, Gordan Krnjaic, Noah
Kurinsky, Bashi Mandava, Lucas K. Wagner
|
Revisiting the Dark Matter Interpretation of Excess Rates in
Semiconductors
|
9 pages, 3 figures
|
Phys. Rev. D 105, 123002 (2022)
|
10.1103/PhysRevD.105.123002
|
FERMILAB-PUB-22-044-PPD-QIS-T
|
hep-ph astro-ph.CO hep-ex
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In light of recent results from low-threshold dark matter detectors, we
revisit the possibility of a common dark matter origin for multiple excesses
across numerous direct detection experiments, with a focus on the excess rates
in semiconductor detectors. We explore the interpretation of the low-threshold
calorimetric excess rates above 40 eV in the silicon SuperCDMS Cryogenic Phonon
Detector and above 100 eV in the germanium EDELWEISS Surface detector as
arising from a common but unknown origin, and demonstrate a compatible fit for
the observed energy spectra in both experiments, which follow a power law of
index $\alpha = 3.43^{+0.11}_{-0.06}$. Despite the intriguing scaling of the
normalization of these two excess rates with approximately the square of the
mass number $A^2$, we argue that the possibility of common origin by dark
matter scattering via nuclear recoils is strongly disfavored, even allowing for
exotic condensed matter effects in an as-yet unmeasured kinematic regime, due
to the unphysically-large dark matter velocity required to give comparable
rates in the different energy ranges of the silicon and germanium excesses. We
also investigate the possibility of inelastic nuclear scattering by cosmic ray
neutrons, solar neutrinos, and photons as the origin, and quantitatively
disfavor all three based on known fluxes of particles.
|
[
{
"created": "Mon, 7 Feb 2022 19:00:00 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Feb 2022 18:50:57 GMT",
"version": "v2"
},
{
"created": "Fri, 3 Jun 2022 23:14:09 GMT",
"version": "v3"
}
] |
2022-06-07
|
[
[
"Abbamonte",
"Peter",
""
],
[
"Baxter",
"Daniel",
""
],
[
"Kahn",
"Yonatan",
""
],
[
"Krnjaic",
"Gordan",
""
],
[
"Kurinsky",
"Noah",
""
],
[
"Mandava",
"Bashi",
""
],
[
"Wagner",
"Lucas K.",
""
]
] |
In light of recent results from low-threshold dark matter detectors, we revisit the possibility of a common dark matter origin for multiple excesses across numerous direct detection experiments, with a focus on the excess rates in semiconductor detectors. We explore the interpretation of the low-threshold calorimetric excess rates above 40 eV in the silicon SuperCDMS Cryogenic Phonon Detector and above 100 eV in the germanium EDELWEISS Surface detector as arising from a common but unknown origin, and demonstrate a compatible fit for the observed energy spectra in both experiments, which follow a power law of index $\alpha = 3.43^{+0.11}_{-0.06}$. Despite the intriguing scaling of the normalization of these two excess rates with approximately the square of the mass number $A^2$, we argue that the possibility of common origin by dark matter scattering via nuclear recoils is strongly disfavored, even allowing for exotic condensed matter effects in an as-yet unmeasured kinematic regime, due to the unphysically-large dark matter velocity required to give comparable rates in the different energy ranges of the silicon and germanium excesses. We also investigate the possibility of inelastic nuclear scattering by cosmic ray neutrons, solar neutrinos, and photons as the origin, and quantitatively disfavor all three based on known fluxes of particles.
|
2011.04773
|
Zolt\'an Nagy
|
Zoltan Nagy and Davison E. Soper
|
Summations of large logarithms by parton showers
|
49 pages, 15 figures; This version is combined with arXiv:2011.04777
|
Phys. Rev. D 104, 054049 (2021)
|
10.1103/PhysRevD.104.054049
|
DESY 20-181
|
hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We propose a method to examine how a parton shower sums large logarithms. In
this method, one works with an appropriate integral transform of the
distribution for the observable of interest. Then, one reformulates the parton
shower so as to obtain the transformed distribution as an exponential for which
one can compute the terms in the perturbative expansion of the exponent. We
apply this general program to the thrust distribution in electron-positron
annihilation, using several shower algorithms. Of the approaches that we use,
the most generally applicable is to compute some of the perturbative
coefficients in the exponent by numerical integration and to test whether they
are consistent with next-to-leading-log summation of the thrust logarithms.
|
[
{
"created": "Mon, 9 Nov 2020 21:19:06 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Nov 2020 08:58:50 GMT",
"version": "v2"
},
{
"created": "Thu, 19 Aug 2021 15:27:26 GMT",
"version": "v3"
}
] |
2021-10-04
|
[
[
"Nagy",
"Zoltan",
""
],
[
"Soper",
"Davison E.",
""
]
] |
We propose a method to examine how a parton shower sums large logarithms. In this method, one works with an appropriate integral transform of the distribution for the observable of interest. Then, one reformulates the parton shower so as to obtain the transformed distribution as an exponential for which one can compute the terms in the perturbative expansion of the exponent. We apply this general program to the thrust distribution in electron-positron annihilation, using several shower algorithms. Of the approaches that we use, the most generally applicable is to compute some of the perturbative coefficients in the exponent by numerical integration and to test whether they are consistent with next-to-leading-log summation of the thrust logarithms.
|
hep-ph/9509362
|
Boris Kopeliovich
|
B. Kopeliovich and B. Povh (MPI-K, Heidelberg)
|
Scaling Variable for Nuclear Shadowing in Deep-Inelastic Scattering
|
11 pages, latex file and 2 figures uuencoded in one file
|
Phys.Lett.B367:329-334,1996
|
10.1016/0370-2693(95)01367-9
|
Based on the talk presented at the Workshop on Particle Theory and
Phenomenology, Ames, Iowa, 1995
|
hep-ph
| null |
A new scaling variable is introduced in terms of which nuclear shadowing in
deep-inelastic scattering is universal, i.e. independent of $A$, $Q^2$ and $x$.
This variable can be interpreted as a measure of the number of gluons probed by
the hadronic fluctuations of a virtual photon during their lifetime. The
shadowing correction grows at small $x$ substantially less steeply than is
suggested by the eikonal approximation. This results from the fact that
shadowing is dominated by soft rather than hard interactions.
|
[
{
"created": "Fri, 22 Sep 1995 15:23:15 GMT",
"version": "v1"
}
] |
2011-04-15
|
[
[
"Kopeliovich",
"B.",
"",
"MPI-K, Heidelberg"
],
[
"Povh",
"B.",
"",
"MPI-K, Heidelberg"
]
] |
A new scaling variable is introduced in terms of which nuclear shadowing in deep-inelastic scattering is universal, i.e. independent of $A$, $Q^2$ and $x$. This variable can be interpreted as a measure of the number of gluons probed by the hadronic fluctuations of a virtual photon during their lifetime. The shadowing correction grows at small $x$ substantially less steeply than is suggested by the eikonal approximation. This results from the fact that shadowing is dominated by soft rather than hard interactions.
|
2307.13745
|
H\'ector Parra De Freitas
|
Bernardo Fraiman, Mariana Gra\~na, H\'ector Parra De Freitas, Savdeep
Sethi
|
Non-Supersymmetric Heterotic Strings on a Circle
|
55 pages + appendices
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Motivated by a recent construction of non-supersymmetric $\text{AdS}_3$, we
revisit the $O(16)\times O(16)$ heterotic string compactified on a torus. The
string one-loop potential energy has interesting dependence on the classical
moduli; extrema of this potential include loci where the gauge symmetry is
maximally enhanced. Focusing on the case of a circle, we use lattice embeddings
to find the maximal enhancement points together with their spectra of massless
and tachyonic modes. We find an extended Dynkin diagram that encodes the global
structure of the moduli space, as well as all symmetry enhancements and the
loci where they occur. We find $107$ points of maximal enhancement with $8$
that are free of tachyons. The tachyon-free points each have positive
cosmological constant. We determine the profile of the potential energy near
each of these points and find that one is a maximum while three are saddle
points. The remaining four live at the boundary of a tachyonic region in field
space. In this way, we show that every point of maximal symmetry enhancement is
unstable. We further find that the curvature of this stringy potential
satisfies the de Sitter swampland conjecture. Finally, we discuss the
implications for constructions of $\text{AdS}_3$.
|
[
{
"created": "Tue, 25 Jul 2023 18:04:13 GMT",
"version": "v1"
}
] |
2023-07-27
|
[
[
"Fraiman",
"Bernardo",
""
],
[
"Graña",
"Mariana",
""
],
[
"De Freitas",
"Héctor Parra",
""
],
[
"Sethi",
"Savdeep",
""
]
] |
Motivated by a recent construction of non-supersymmetric $\text{AdS}_3$, we revisit the $O(16)\times O(16)$ heterotic string compactified on a torus. The string one-loop potential energy has interesting dependence on the classical moduli; extrema of this potential include loci where the gauge symmetry is maximally enhanced. Focusing on the case of a circle, we use lattice embeddings to find the maximal enhancement points together with their spectra of massless and tachyonic modes. We find an extended Dynkin diagram that encodes the global structure of the moduli space, as well as all symmetry enhancements and the loci where they occur. We find $107$ points of maximal enhancement with $8$ that are free of tachyons. The tachyon-free points each have positive cosmological constant. We determine the profile of the potential energy near each of these points and find that one is a maximum while three are saddle points. The remaining four live at the boundary of a tachyonic region in field space. In this way, we show that every point of maximal symmetry enhancement is unstable. We further find that the curvature of this stringy potential satisfies the de Sitter swampland conjecture. Finally, we discuss the implications for constructions of $\text{AdS}_3$.
|
1312.3956
|
Alexander Vilenkin
|
Alexander Vilenkin and Aron C. Wall
|
Cosmological singularity theorems and black holes
|
References added
|
Phys. Rev. D 89, 064035 (2014)
|
10.1103/PhysRevD.89.064035
| null |
gr-qc hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
An extension of Penrose's singularity theorem is proved for spacetimes where
black holes are allowed to form from non-singular initial data. With standard
assumptions about the spacetime, and assuming the existence of a trapped
surface which lies outside of black hole horizons and is not completely
surrounded by horizons, we show that the spacetime region outside (or on) the
horizons must contain singularities. If the trapped surface is surrounded by
horizons, we show that the horizons divide spacetime into causally disconnected
pieces. Unlike the original Penrose's theorem, our theorems provide some
information about the location of singularities. We illustrate how they can be
used to rule out some cosmological scenarios.
|
[
{
"created": "Fri, 13 Dec 2013 21:15:48 GMT",
"version": "v1"
},
{
"created": "Sun, 12 Jan 2014 15:46:20 GMT",
"version": "v2"
}
] |
2014-03-26
|
[
[
"Vilenkin",
"Alexander",
""
],
[
"Wall",
"Aron C.",
""
]
] |
An extension of Penrose's singularity theorem is proved for spacetimes where black holes are allowed to form from non-singular initial data. With standard assumptions about the spacetime, and assuming the existence of a trapped surface which lies outside of black hole horizons and is not completely surrounded by horizons, we show that the spacetime region outside (or on) the horizons must contain singularities. If the trapped surface is surrounded by horizons, we show that the horizons divide spacetime into causally disconnected pieces. Unlike the original Penrose's theorem, our theorems provide some information about the location of singularities. We illustrate how they can be used to rule out some cosmological scenarios.
|
hep-th/0211198
|
Volovich Anastasia
|
Yang-Hui He, John H. Schwarz, Marcus Spradlin, Anastasia Volovich
|
Explicit Formulas for Neumann Coefficients in the Plane-Wave Geometry
|
28 pages, 2 figures, v2: reference added, new comments and appendix,
typos fixed in eqs. (86) and (89)
|
Phys.Rev. D67 (2003) 086005
|
10.1103/PhysRevD.67.086005
|
CALT-68-2413, NSF-KITP-02-162, PUPT-2058, UPR-1021-T
|
hep-th
| null |
We obtain explicit formulas for the Neumann coefficients and associated
quantities that appear in the three-string vertex for type IIB string theory in
a plane-wave background, for any value of the mass parameter mu. The derivation
involves constructing the inverse of a certain infinite-dimensional matrix, in
terms of which the Neumann coefficients previously had been written only
implicitly. We derive asymptotic expansions for large mu and find unexpectedly
simple results, which are valid to all orders in 1/mu. Using BMN duality, these
give predictions for certain gauge theory quantities to all orders in the
modified 't Hooft coupling lambda'. A specific example is presented.
|
[
{
"created": "Thu, 21 Nov 2002 17:11:15 GMT",
"version": "v1"
},
{
"created": "Sun, 22 Dec 2002 23:59:23 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"He",
"Yang-Hui",
""
],
[
"Schwarz",
"John H.",
""
],
[
"Spradlin",
"Marcus",
""
],
[
"Volovich",
"Anastasia",
""
]
] |
We obtain explicit formulas for the Neumann coefficients and associated quantities that appear in the three-string vertex for type IIB string theory in a plane-wave background, for any value of the mass parameter mu. The derivation involves constructing the inverse of a certain infinite-dimensional matrix, in terms of which the Neumann coefficients previously had been written only implicitly. We derive asymptotic expansions for large mu and find unexpectedly simple results, which are valid to all orders in 1/mu. Using BMN duality, these give predictions for certain gauge theory quantities to all orders in the modified 't Hooft coupling lambda'. A specific example is presented.
|
hep-ph/9808281
|
A. B. Balantekin
|
A.B. Balantekin (Physics Department, University of Wisconsin, Madison)
|
Neutrino Propagation in Matter
|
17 pages, 5 figures. Expanded version of a talk at the Slansky
Memorial Symposium, Los Alamos, May 1998
|
Phys.Rept.315:123-135,1999
|
10.1016/S0370-1573(99)00017-4
|
mad-nt-98-01
|
hep-ph
| null |
The enhancement of neutrino oscillations in matter is briefly reviewed. Exact
and approximate solutions of the equations describing neutrino oscillations in
matter are discussed. The role of stochasticity of the media that the neutrinos
propagate through is elucidated.
|
[
{
"created": "Mon, 10 Aug 1998 17:20:12 GMT",
"version": "v1"
}
] |
2011-04-15
|
[
[
"Balantekin",
"A. B.",
"",
"Physics Department, University of Wisconsin, Madison"
]
] |
The enhancement of neutrino oscillations in matter is briefly reviewed. Exact and approximate solutions of the equations describing neutrino oscillations in matter are discussed. The role of stochasticity of the media that the neutrinos propagate through is elucidated.
|
1407.2634
|
Paola Arias
|
Paola Arias and Fidel A. Schaposnik
|
Vortex solutions of an Abelian Higgs model with visible and hidden
sectors
|
22 pages, 10 figures, version accepted in JHEP
|
JHEP12(2014)011
|
10.1007/JHEP12(2014)011
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study vortex solutions in a theory with dynamics governed by two weakly
coupled Abelian Higgs models, describing a hidden sector and a visible sector.
We analyze the radial dependence of the axially symmetric solutions constructed
numerically and discuss the stability of vortex configurations for different
values of the model parameters, studying in detail vortex decay into lower
energy configurations. We find that even in a weak coupling regime vortex
solutions strongly depend on the parameters of both the visible and hidden
sectors. We also discuss on qualitative grounds possible implications of the
existence of a hidden sector in connection with superconductivity.
|
[
{
"created": "Wed, 9 Jul 2014 20:47:16 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Sep 2014 19:04:00 GMT",
"version": "v2"
},
{
"created": "Mon, 15 Dec 2014 19:02:55 GMT",
"version": "v3"
}
] |
2014-12-16
|
[
[
"Arias",
"Paola",
""
],
[
"Schaposnik",
"Fidel A.",
""
]
] |
We study vortex solutions in a theory with dynamics governed by two weakly coupled Abelian Higgs models, describing a hidden sector and a visible sector. We analyze the radial dependence of the axially symmetric solutions constructed numerically and discuss the stability of vortex configurations for different values of the model parameters, studying in detail vortex decay into lower energy configurations. We find that even in a weak coupling regime vortex solutions strongly depend on the parameters of both the visible and hidden sectors. We also discuss on qualitative grounds possible implications of the existence of a hidden sector in connection with superconductivity.
|
1202.6309
|
Tsulaia Mirian
|
Mirian Tsulaia
|
On Tensorial Spaces and BCFW Recursion Relations for Higher Spin Fields
|
26 pages, Invited Review, discussion improved, references added
|
Int.J.Mod.Phys.A27:1230011,2012
|
10.1142/S0217751X12300116
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this short review we briefly consider two topics in the higher spin gauge
theory: the method of "tensorial (super) spaces" and application of BCFW
recursion relations to higher spin fields.
|
[
{
"created": "Tue, 28 Feb 2012 18:09:24 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Apr 2012 10:42:03 GMT",
"version": "v2"
}
] |
2014-08-19
|
[
[
"Tsulaia",
"Mirian",
""
]
] |
In this short review we briefly consider two topics in the higher spin gauge theory: the method of "tensorial (super) spaces" and application of BCFW recursion relations to higher spin fields.
|
1305.3088
|
Tajron Juri\'c mag.phys
|
Tajron Juric, Stjepan Meljanac, Rina Strajn
|
Twists, realizations and Hopf algebroid structure of kappa-deformed
phase space
|
34 pages, revised version, accepted in IJMPA
|
International Journal of Modern Physics A Vol. 29 (2014) 1450022
|
10.1142/S0217751X14500225
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The quantum phase space described by Heisenberg algebra possesses undeformed
Hopf algebroid structure. The $\kappa$-deformed phase space with noncommutative
coordinates is realized in terms of undeformed quantum phase space. There are
infinitely many such realizations related by similarity transformations. For a
given realization we construct corresponding coproducts of commutative
coordinates and momenta (bialgebroid structure). The $\kappa$-deformed phase
space has twisted Hopf algebroid structure. General method for the construction
of twist operator (satisfying cocycle and normalization condition)
corresponding to deformed coalgebra structure is presented. Specially, twist
for natural realization (classical basis) of $\kappa$-Minkowski spacetime is
presented. The cocycle condition, $\kappa$-Poincar\'{e} algebra and $R$-matrix
are discussed. Twist operators in arbitrary realizations are constructed from
the twist in the given realization using similarity transformations. Some
examples are presented. The important physical applications of twists,
realizations, $R$-matrix and Hopf algebroid structure are discussed.
|
[
{
"created": "Tue, 14 May 2013 10:09:29 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Jan 2014 13:32:14 GMT",
"version": "v2"
}
] |
2014-02-10
|
[
[
"Juric",
"Tajron",
""
],
[
"Meljanac",
"Stjepan",
""
],
[
"Strajn",
"Rina",
""
]
] |
The quantum phase space described by Heisenberg algebra possesses undeformed Hopf algebroid structure. The $\kappa$-deformed phase space with noncommutative coordinates is realized in terms of undeformed quantum phase space. There are infinitely many such realizations related by similarity transformations. For a given realization we construct corresponding coproducts of commutative coordinates and momenta (bialgebroid structure). The $\kappa$-deformed phase space has twisted Hopf algebroid structure. General method for the construction of twist operator (satisfying cocycle and normalization condition) corresponding to deformed coalgebra structure is presented. Specially, twist for natural realization (classical basis) of $\kappa$-Minkowski spacetime is presented. The cocycle condition, $\kappa$-Poincar\'{e} algebra and $R$-matrix are discussed. Twist operators in arbitrary realizations are constructed from the twist in the given realization using similarity transformations. Some examples are presented. The important physical applications of twists, realizations, $R$-matrix and Hopf algebroid structure are discussed.
|
2203.12124
|
Yen-Kheng Lim PhD
|
Ziou Yang and Yen-Kheng Lim
|
Structure of test magnetic fields and charged particle motion around the
Hayward spacetime
|
32 pages, 12 figures. Sec. 2 expanded, typos corrected
|
Phys. Rev. D 105, 124045 (2022)
|
10.1103/PhysRevD.105.124045
| null |
gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A configuration of a test magnetic field in Hayward spacetime is obtained by
solving Maxwell's equation with the Hayward metric as the background. The
magnetic field lines show a dipole loop-like configuration in the regular
Hayward interior, and tends to an asymptotically uniform structure away from
the cylindrical axis. The motion of charged particles is then studied in this
spacetime. The parameters and stability of circular orbits on the equatorial
plane are studied. Aspects of non-equatorial motion are also studied.
|
[
{
"created": "Wed, 23 Mar 2022 01:35:41 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Jun 2022 01:26:53 GMT",
"version": "v2"
}
] |
2022-06-24
|
[
[
"Yang",
"Ziou",
""
],
[
"Lim",
"Yen-Kheng",
""
]
] |
A configuration of a test magnetic field in Hayward spacetime is obtained by solving Maxwell's equation with the Hayward metric as the background. The magnetic field lines show a dipole loop-like configuration in the regular Hayward interior, and tends to an asymptotically uniform structure away from the cylindrical axis. The motion of charged particles is then studied in this spacetime. The parameters and stability of circular orbits on the equatorial plane are studied. Aspects of non-equatorial motion are also studied.
|
1011.3723
|
Wolfgang Lucha
|
Wolfgang Lucha, Dmitri Melikhov, Silvano Simula
|
OPE, Heavy-Quark Mass, and Heavy-Meson Decay Constants from QCD Sum
Rules
|
talk presented at the "XIXth International Workshop on High Energy
Physics and Quantum Field Theory - QFTHEP'10", 8 - 15 September 2010,
Golitsyno, Moscow, Russia
|
PoS QFTHEP2010:058,2010
| null |
HEPHY-PUB 894/10
|
hep-ph hep-ex hep-lat nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a sum-rule extraction of the decay constants of heavy-light mesons
from the two-point correlator of pseudoscalar currents. To this end, we compare
the perturbative expansions for the correlator and the decay constant performed
in terms of either the pole mass or the running MS-bar mass of the heavy quark.
The perturbative expansion expressed in terms of the pole mass exhibits no sign
of convergence whereas reorganizing this very expansion in terms of the MS-bar
mass yields a rather clear hierarchy of the perturbative contributions.
Accordingly, the decay constants extracted from the pole-mass correlator turn
out to be considerably smaller than those extracted from its MS-bar-mass
counterpart. Then, making use of the OPE in terms of the MS-bar mass we derive
the decay constants of heavy mesons with emphasis on acquiring control over the
uncertainties in the decay constants, related both to the input QCD parameters
and to the limited accuracy of the method of sum rules. Gaining this control
has become possible due to the application of our novel procedure for
extracting hadron observables based on dual thresholds which depend on the
Borel parameter.
|
[
{
"created": "Tue, 16 Nov 2010 15:10:49 GMT",
"version": "v1"
}
] |
2011-04-07
|
[
[
"Lucha",
"Wolfgang",
""
],
[
"Melikhov",
"Dmitri",
""
],
[
"Simula",
"Silvano",
""
]
] |
We present a sum-rule extraction of the decay constants of heavy-light mesons from the two-point correlator of pseudoscalar currents. To this end, we compare the perturbative expansions for the correlator and the decay constant performed in terms of either the pole mass or the running MS-bar mass of the heavy quark. The perturbative expansion expressed in terms of the pole mass exhibits no sign of convergence whereas reorganizing this very expansion in terms of the MS-bar mass yields a rather clear hierarchy of the perturbative contributions. Accordingly, the decay constants extracted from the pole-mass correlator turn out to be considerably smaller than those extracted from its MS-bar-mass counterpart. Then, making use of the OPE in terms of the MS-bar mass we derive the decay constants of heavy mesons with emphasis on acquiring control over the uncertainties in the decay constants, related both to the input QCD parameters and to the limited accuracy of the method of sum rules. Gaining this control has become possible due to the application of our novel procedure for extracting hadron observables based on dual thresholds which depend on the Borel parameter.
|
hep-th/0408214
|
Sannino Francesco
|
A. Feo (Parma Univ.), P. Merlatti (NORDITA) and F. Sannino (NORDITA)
|
Information on the Super Yang-Mills Spectrum
|
LaTeX, 14 pages + 2 figures
|
Phys.Rev.D70:096004,2004
|
10.1103/PhysRevD.70.096004
| null |
hep-th hep-lat hep-ph
| null |
We investigate the spectrum of the lightest states of N=1 Super Yang-Mills.
We first study the spectrum using the recently extended Veneziano Yankielowicz
theory containing also the glueball states besides the gluinoball ones. Using a
simple Kahler term we show that within the effective Lagrangian approach one
can accommodate either the possibility in which the glueballs are heavier or
lighter than the gluinoball fields.
We then provide an effective Lagrangian independent argument which allows,
using information about ordinary QCD, to deduce that the lightest states in
super Yang-Mills are the gluinoballs. This helps constraining the Kahler term
of the effective Lagrangian. Using this information and the effective
Lagrangian we note that there is a small mixing among the gluinoball and
glueball states.
|
[
{
"created": "Fri, 27 Aug 2004 16:12:37 GMT",
"version": "v1"
}
] |
2010-12-03
|
[
[
"Feo",
"A.",
"",
"Parma Univ."
],
[
"Merlatti",
"P.",
"",
"NORDITA"
],
[
"Sannino",
"F.",
"",
"NORDITA"
]
] |
We investigate the spectrum of the lightest states of N=1 Super Yang-Mills. We first study the spectrum using the recently extended Veneziano Yankielowicz theory containing also the glueball states besides the gluinoball ones. Using a simple Kahler term we show that within the effective Lagrangian approach one can accommodate either the possibility in which the glueballs are heavier or lighter than the gluinoball fields. We then provide an effective Lagrangian independent argument which allows, using information about ordinary QCD, to deduce that the lightest states in super Yang-Mills are the gluinoballs. This helps constraining the Kahler term of the effective Lagrangian. Using this information and the effective Lagrangian we note that there is a small mixing among the gluinoball and glueball states.
|
2101.08179
|
Angela D. V. Di Virgilio dr
|
Angela D.V. Di Virgilio, Umberto Giacomelli, Andrea Simonelli,
Giuseppe Terreni, Andrea Basti, Nicol\`o Beverini, Giorgio Carelli, Donatella
Ciampini, Francesco Fuso, Enrico Maccioni, Paolo Marsili, Carlo Altucci,
Francesco Bajardi, Salvatore Capozziello, Raffaele Velotta, Alberto Porzio,
Antonello Ortolan
|
Reaching the sensitivity limit of a Sagnac gyroscope through linear
regression analysis
|
13 pages, 7 figures, regular paper
| null |
10.1140/epjc/s10052-021-09199-1
| null |
gr-qc physics.geo-ph
|
http://creativecommons.org/licenses/by/4.0/
|
The sensitivity to angular rotation of the top class Sagnac gyroscope
GINGERINO is carefully investigated with standard statistical means, using 103
days of continuous operation and the available geodesic measurements of the
Earth angular rotation rate. All features of the Earth rotation rate are
correctly reproduced. The sensitivity of fractions of frad/s is attained for
long term runs. This excellent sensitivity and stability put Sagnac gyroscopes
at the forefront for fundamental physics, in particular for tests of general
relativity and Lorentz violation, where the sensitivity plays the key role to
provide reliable data for deeper theoretical investigations. The achieved
sensitivity overcomes the conventionally expected one for Sagnac ring laser
gyroscopes.
|
[
{
"created": "Wed, 20 Jan 2021 15:22:15 GMT",
"version": "v1"
}
] |
2021-05-26
|
[
[
"Di Virgilio",
"Angela D. V.",
""
],
[
"Giacomelli",
"Umberto",
""
],
[
"Simonelli",
"Andrea",
""
],
[
"Terreni",
"Giuseppe",
""
],
[
"Basti",
"Andrea",
""
],
[
"Beverini",
"Nicolò",
""
],
[
"Carelli",
"Giorgio",
""
],
[
"Ciampini",
"Donatella",
""
],
[
"Fuso",
"Francesco",
""
],
[
"Maccioni",
"Enrico",
""
],
[
"Marsili",
"Paolo",
""
],
[
"Altucci",
"Carlo",
""
],
[
"Bajardi",
"Francesco",
""
],
[
"Capozziello",
"Salvatore",
""
],
[
"Velotta",
"Raffaele",
""
],
[
"Porzio",
"Alberto",
""
],
[
"Ortolan",
"Antonello",
""
]
] |
The sensitivity to angular rotation of the top class Sagnac gyroscope GINGERINO is carefully investigated with standard statistical means, using 103 days of continuous operation and the available geodesic measurements of the Earth angular rotation rate. All features of the Earth rotation rate are correctly reproduced. The sensitivity of fractions of frad/s is attained for long term runs. This excellent sensitivity and stability put Sagnac gyroscopes at the forefront for fundamental physics, in particular for tests of general relativity and Lorentz violation, where the sensitivity plays the key role to provide reliable data for deeper theoretical investigations. The achieved sensitivity overcomes the conventionally expected one for Sagnac ring laser gyroscopes.
|
2010.07887
|
Uri Kol
|
Uri Kol
|
Dual Komar Mass, Torsion and Riemann-Cartan Manifolds
| null | null | null | null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The dual Komar mass generalizes the concept of the NUT parameter and is akin
to the magnetic charge in electrodynamics. In asymptotically flat spacetimes it
coincides with the dual supertranslation charge. The dual mass vanishes
identically on Riemannian manifolds in General Relativity unless conical
singularities corresponding to Misner strings are introduced. In this paper we
propose an alternative way to source the dual mass locally. We show that this
can be done by enlarging the phase space of the theory to allow for a violation
of the algebraic Bianchi identity using local fields. A minimal extension of
Einstein's gravity that meets this requirement is known as the Einstein-Cartan
theory. Our main result is that on Riemann-Cartan manifolds the dual Komar mass
does not vanish and is given by a volume integral over a local 1-form
gravitational-magnetic current that is a function of the torsion.
|
[
{
"created": "Thu, 15 Oct 2020 17:08:00 GMT",
"version": "v1"
}
] |
2020-10-16
|
[
[
"Kol",
"Uri",
""
]
] |
The dual Komar mass generalizes the concept of the NUT parameter and is akin to the magnetic charge in electrodynamics. In asymptotically flat spacetimes it coincides with the dual supertranslation charge. The dual mass vanishes identically on Riemannian manifolds in General Relativity unless conical singularities corresponding to Misner strings are introduced. In this paper we propose an alternative way to source the dual mass locally. We show that this can be done by enlarging the phase space of the theory to allow for a violation of the algebraic Bianchi identity using local fields. A minimal extension of Einstein's gravity that meets this requirement is known as the Einstein-Cartan theory. Our main result is that on Riemann-Cartan manifolds the dual Komar mass does not vanish and is given by a volume integral over a local 1-form gravitational-magnetic current that is a function of the torsion.
|
hep-th/0304259
|
Ian T. Ellwood
|
Ian Ellwood (MIT), Jessie Shelton (MIT), Washington Taylor (MIT)
|
Tadpoles and Closed String Backgrounds in Open String Field Theory
|
51 pages, 11 eps figures, Latex; v2: References added
|
JHEP 0307:059,2003
|
10.1088/1126-6708/2003/07/059
|
MIT-CTP-3368
|
hep-th
| null |
We investigate the quantum structure of Witten's cubic open bosonic string
field theory by computing the one-loop contribution to the open string tadpole
using both oscillator and conformal field theory methods. We find divergences
and a breakdown of BRST invariance in the tadpole diagram arising from
tachyonic and massless closed string states, and we discuss ways of treating
these problems. For a Dp-brane with sufficiently many transverse dimensions,
the tadpole can be rendered finite by analytically continuing the closed string
tachyon by hand; this diagram then naturally incorporates the (linearized)
shift of the closed string background due to the presence of the brane. We
observe that divergences at higher loops will doom any straightforward attempt
at analyzing general quantum effects in bosonic open string field theory on a
Dp-brane of any dimension, but our analysis does not uncover any potential
obstacles to the existence of a sensible quantum open string field theory in
the supersymmetric case.
|
[
{
"created": "Wed, 30 Apr 2003 04:43:32 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Jun 2003 21:47:45 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Ellwood",
"Ian",
"",
"MIT"
],
[
"Shelton",
"Jessie",
"",
"MIT"
],
[
"Taylor",
"Washington",
"",
"MIT"
]
] |
We investigate the quantum structure of Witten's cubic open bosonic string field theory by computing the one-loop contribution to the open string tadpole using both oscillator and conformal field theory methods. We find divergences and a breakdown of BRST invariance in the tadpole diagram arising from tachyonic and massless closed string states, and we discuss ways of treating these problems. For a Dp-brane with sufficiently many transverse dimensions, the tadpole can be rendered finite by analytically continuing the closed string tachyon by hand; this diagram then naturally incorporates the (linearized) shift of the closed string background due to the presence of the brane. We observe that divergences at higher loops will doom any straightforward attempt at analyzing general quantum effects in bosonic open string field theory on a Dp-brane of any dimension, but our analysis does not uncover any potential obstacles to the existence of a sensible quantum open string field theory in the supersymmetric case.
|
gr-qc/0406052
|
Rituparno Goswami
|
Rituparno Goswami, Pankaj S Joshi
|
Gravitational collapse of an isentropic perfect fluid with a linear
equation of state
|
7 Pages, Revtex4, To appear in Classical and Quantum Gravity
|
Class.Quant.Grav. 21 (2004) 3645-3654
|
10.1088/0264-9381/21/15/002
| null |
gr-qc astro-ph hep-th
| null |
We investigate here the gravitational collapse end states for a spherically
symmetric perfect fluid with an equation of state $p=k\rho$. It is shown that
given a regular initial data in terms of the density and pressure profiles at
the initial epoch from which the collapse develops, the black hole or naked
singularity outcomes depend on the choice of rest of the free functions
available, such as the velocities of the collapsing shells, and the dynamical
evolutions as allowed by Einstein equations. This clarifies the role that
equation of state and initial data play towards determining the final fate of
gravitational collapse.
|
[
{
"created": "Sat, 12 Jun 2004 09:52:32 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Goswami",
"Rituparno",
""
],
[
"Joshi",
"Pankaj S",
""
]
] |
We investigate here the gravitational collapse end states for a spherically symmetric perfect fluid with an equation of state $p=k\rho$. It is shown that given a regular initial data in terms of the density and pressure profiles at the initial epoch from which the collapse develops, the black hole or naked singularity outcomes depend on the choice of rest of the free functions available, such as the velocities of the collapsing shells, and the dynamical evolutions as allowed by Einstein equations. This clarifies the role that equation of state and initial data play towards determining the final fate of gravitational collapse.
|
hep-th/0603107
|
Matthew Johnson
|
A. Aguirre, T. Banks, M. Johnson
|
Regulating Eternal Inflation II: The Great Divide
|
JHEP3, 19 Pages, 7 Figures
|
JHEP0608:065,2006
|
10.1088/1126-6708/2006/08/065
| null |
hep-th gr-qc
| null |
In a previous paper, two of the authors presented a "regulated" picture of
eternal inflation. This picture both suggested and drew support from a
conjectured discontinuity in the amplitude for tunneling from positive to
negative vacuum energy, as the positive vacuum energy was sent to zero;
analytic and numerical arguments supporting this conjecture were given. Here we
show that this conjecture is false, but in an interesting way. There are no
cases where tunneling amplitudes are discontinuous at vanishing cosmological
constant; rather, the space of potentials separates into two regions. In one
region decay is strongly suppressed, and the proposed picture of eternal
inflation remains viable; sending the (false) vacuum energy to zero in this
region results in an absolutely stable asymptotically flat space. In the other
region, we argue that the space-time at vanishing cosmological constant is
unstable, but not asymptotically Minkowski. The consequences of our results for
theories of supersymmetry breaking are unchanged.
|
[
{
"created": "Tue, 14 Mar 2006 04:19:49 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Aguirre",
"A.",
""
],
[
"Banks",
"T.",
""
],
[
"Johnson",
"M.",
""
]
] |
In a previous paper, two of the authors presented a "regulated" picture of eternal inflation. This picture both suggested and drew support from a conjectured discontinuity in the amplitude for tunneling from positive to negative vacuum energy, as the positive vacuum energy was sent to zero; analytic and numerical arguments supporting this conjecture were given. Here we show that this conjecture is false, but in an interesting way. There are no cases where tunneling amplitudes are discontinuous at vanishing cosmological constant; rather, the space of potentials separates into two regions. In one region decay is strongly suppressed, and the proposed picture of eternal inflation remains viable; sending the (false) vacuum energy to zero in this region results in an absolutely stable asymptotically flat space. In the other region, we argue that the space-time at vanishing cosmological constant is unstable, but not asymptotically Minkowski. The consequences of our results for theories of supersymmetry breaking are unchanged.
|
0806.1651
|
Fernando T. C. Brandt
|
F. T. Brandt and J. Frenkel
|
Instabilities in Thermal Gravity with a Cosmological Constant
|
3 pages. To be published in Physics Letters B
|
Phys.Lett.B665:264-266,2008
|
10.1016/j.physletb.2008.06.009
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is shown that in quantum gravity at finite temperature, the effective
potential evaluated in the tadpole approximation can have a local minimum below
a certain critical temperature. However, when the leading higher order thermal
loop corrections are included, one finds that no static solution exists at high
temperature.
|
[
{
"created": "Tue, 10 Jun 2008 13:08:40 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Brandt",
"F. T.",
""
],
[
"Frenkel",
"J.",
""
]
] |
It is shown that in quantum gravity at finite temperature, the effective potential evaluated in the tadpole approximation can have a local minimum below a certain critical temperature. However, when the leading higher order thermal loop corrections are included, one finds that no static solution exists at high temperature.
|
1503.08347
|
Leandro Nascimento
|
Leandro O. Nascimento, Van S\'ergio Alves, Francisco Pe\~na, C. Morais
Smith, and E. C. Marino
|
Chiral-Symmetry Breaking in Pseudo Quantum Electrodynamics at Finite
Temperature
|
10 pages and 4 figures
| null |
10.1103/PhysRevD.92.025018
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use the Schwinger-Dyson equations in the presence of a thermal bath, in
order to study chiral symmetry breaking in a system of massless Dirac fermions
interacting through pseudo quantum electrodynamics (PQED3), in (2+1)
dimensions. We show that there is a critical temperature $T_c$, below which
chiral symmetry is broken, and a corresponding mass gap is dynamically
generated, provided the coupling is above a certain, temperature dependent,
critical value $\alpha_c$. The ratio between the energy gap and the critical
temperature for this model is estimated to be $2 \pi$. These results are
confirmed by analytical and numerical investigations of the Schwinger-Dyson
equation for the electron. In addition, we calculate the first
finite-temperature corrections to the static Coulomb interaction. The relevance
of this result in the realm of condensed matter systems, like graphene, is
briefly discussed.
|
[
{
"created": "Sat, 28 Mar 2015 20:58:47 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Nov 2015 21:20:26 GMT",
"version": "v2"
}
] |
2015-11-06
|
[
[
"Nascimento",
"Leandro O.",
""
],
[
"Alves",
"Van Sérgio",
""
],
[
"Peña",
"Francisco",
""
],
[
"Smith",
"C. Morais",
""
],
[
"Marino",
"E. C.",
""
]
] |
We use the Schwinger-Dyson equations in the presence of a thermal bath, in order to study chiral symmetry breaking in a system of massless Dirac fermions interacting through pseudo quantum electrodynamics (PQED3), in (2+1) dimensions. We show that there is a critical temperature $T_c$, below which chiral symmetry is broken, and a corresponding mass gap is dynamically generated, provided the coupling is above a certain, temperature dependent, critical value $\alpha_c$. The ratio between the energy gap and the critical temperature for this model is estimated to be $2 \pi$. These results are confirmed by analytical and numerical investigations of the Schwinger-Dyson equation for the electron. In addition, we calculate the first finite-temperature corrections to the static Coulomb interaction. The relevance of this result in the realm of condensed matter systems, like graphene, is briefly discussed.
|
1905.03033
|
Mudassar Sabir
|
Mudassar Sabir, Waqas Ahmed, Yungui Gong, Shan Hu, Tianjun Li, Lina Wu
|
A note on supergravity inflation in braneworld
|
11 pages, 4 figures
|
Int. J. Mod. Phys. A 36 (2021) 2150056
|
10.1142/S0217751X21500561
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss supergravity inflation in braneworld cosmology for the class of
potentials $V(\phi)=\alpha \phi^n\rm{exp}(-\beta^m \phi^m)$ with $m=1,~2$.
These minimal SUGRA models evade the $\eta$ problem due to a broken shift
symmetry and can easily accommodate the observational constraints. In the high
energy regime $V/\lambda\gg 1$, the numerical predictions and approximate
analytic formulas are given for the scalar spectral index $n_s$ and
tensor-to-scalar ratio $r$. The models with smaller $n$ are preferred while the
models with larger $n$ are out of the $2\sigma$ region. Remarkably, the
$\rho^2/\lambda$ correction to the energy density in Friedmann equation results
in sub-Planckian inflaton excursions $\Delta\phi <1$.
|
[
{
"created": "Fri, 3 May 2019 13:25:36 GMT",
"version": "v1"
},
{
"created": "Thu, 28 May 2020 03:01:12 GMT",
"version": "v2"
},
{
"created": "Thu, 10 Aug 2023 04:07:32 GMT",
"version": "v3"
}
] |
2023-08-11
|
[
[
"Sabir",
"Mudassar",
""
],
[
"Ahmed",
"Waqas",
""
],
[
"Gong",
"Yungui",
""
],
[
"Hu",
"Shan",
""
],
[
"Li",
"Tianjun",
""
],
[
"Wu",
"Lina",
""
]
] |
We discuss supergravity inflation in braneworld cosmology for the class of potentials $V(\phi)=\alpha \phi^n\rm{exp}(-\beta^m \phi^m)$ with $m=1,~2$. These minimal SUGRA models evade the $\eta$ problem due to a broken shift symmetry and can easily accommodate the observational constraints. In the high energy regime $V/\lambda\gg 1$, the numerical predictions and approximate analytic formulas are given for the scalar spectral index $n_s$ and tensor-to-scalar ratio $r$. The models with smaller $n$ are preferred while the models with larger $n$ are out of the $2\sigma$ region. Remarkably, the $\rho^2/\lambda$ correction to the energy density in Friedmann equation results in sub-Planckian inflaton excursions $\Delta\phi <1$.
|
hep-th/9808078
|
Garnik G. Alexanian
|
G.Alexanian, E.F.Moreno
|
Renormalization of the Hamiltonian and a geometric interpretation of
asymptotic freedom
|
22 pages, LaTeX, no figures; final version accepted in Phys.Rev.D;
added reference and appendix with comment on solution of eq. (9) in the text
|
Phys.Rev. D60 (1999) 105028
|
10.1103/PhysRevD.60.105028
|
CCNY-HEP 98/4
|
hep-th
| null |
Using a novel approach to renormalization in the Hamiltonian formalism, we
study the connection between asymptotic freedom and the renormalization group
flow of the configuration space metric. It is argued that in asymptotically
free theories the effective distance between configuration decreases as high
momentum modes are integrated out.
|
[
{
"created": "Thu, 13 Aug 1998 17:42:28 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Aug 1998 16:16:31 GMT",
"version": "v2"
},
{
"created": "Wed, 27 Oct 1999 15:31:27 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Alexanian",
"G.",
""
],
[
"Moreno",
"E. F.",
""
]
] |
Using a novel approach to renormalization in the Hamiltonian formalism, we study the connection between asymptotic freedom and the renormalization group flow of the configuration space metric. It is argued that in asymptotically free theories the effective distance between configuration decreases as high momentum modes are integrated out.
|
1508.05083
|
Iv\'an E. S\'anchez G.
|
Emiliano Marachlian, Iv\'an E. S\'anchez G. and Osvaldo P. Santill\'an
|
Emergent Universe as an interaction in the dark sector
|
15 pages, 8 figures
|
Modern Physics Letters A (MPLA), vol. 32, 28 (2017)
|
10.1142/S0217732317501528
| null |
gr-qc astro-ph.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A cosmological scenario where dark matter interacts with a variable vacuum
energy for a spatially flat Friedmann-Robertson-Walker space-time is proposed
and analysed to show that with a linear equation of state and a particular
interaction in the dark sector it is possible to get a model of an Emergent
Universe. In addition, the viability of two particular models is studied by
taking into account recent observations. The updated observational Hubble data
and the JLA supernovae data are used in order to constraint the cosmological
parameters of the models and estimate the amount of dark energy in the
radiation era. It is shown that the two models fulfil the severe bounds of
$\Omega_{x}(z\simeq 1100)<0.009$ at the $2\sigma$ level of Planck.
|
[
{
"created": "Thu, 20 Aug 2015 19:41:59 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Sep 2017 17:10:18 GMT",
"version": "v2"
}
] |
2017-09-11
|
[
[
"Marachlian",
"Emiliano",
""
],
[
"G.",
"Iván E. Sánchez",
""
],
[
"Santillán",
"Osvaldo P.",
""
]
] |
A cosmological scenario where dark matter interacts with a variable vacuum energy for a spatially flat Friedmann-Robertson-Walker space-time is proposed and analysed to show that with a linear equation of state and a particular interaction in the dark sector it is possible to get a model of an Emergent Universe. In addition, the viability of two particular models is studied by taking into account recent observations. The updated observational Hubble data and the JLA supernovae data are used in order to constraint the cosmological parameters of the models and estimate the amount of dark energy in the radiation era. It is shown that the two models fulfil the severe bounds of $\Omega_{x}(z\simeq 1100)<0.009$ at the $2\sigma$ level of Planck.
|
2002.04390
|
David Delphenich
|
D. H. Delphenich
|
On geodesics of gradient-index optical metrics and the
optical-mechanical analogy
|
31 pages. Error concerning derivation of Levi-Civita action
functional corrected
| null | null | null |
gr-qc physics.optics
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The geodesic equations for optical media whose refractive indices have a
non-vanishing gradient are developed. It is shown that when those media are
optically isotropic, the light paths will be mull geodesics of a spatial metric
that is conformally related to the metric of the ambient space. Various aspects
of the optical-mechanical analogy are discussed as they relate to the geodesics
of conformally related metrics. Some applications of the concepts of
gradient-index optics to general relativity are examined, such as effective
indices of refraction for gravitational lensing and Gordon's optical metrics
for optical media that are in a state of relative motion with respect to an
observer. The latter topic is approached from the standpoint of pre-metric
electromagnetism.
|
[
{
"created": "Tue, 11 Feb 2020 14:15:59 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Feb 2020 13:09:36 GMT",
"version": "v2"
}
] |
2020-02-21
|
[
[
"Delphenich",
"D. H.",
""
]
] |
The geodesic equations for optical media whose refractive indices have a non-vanishing gradient are developed. It is shown that when those media are optically isotropic, the light paths will be mull geodesics of a spatial metric that is conformally related to the metric of the ambient space. Various aspects of the optical-mechanical analogy are discussed as they relate to the geodesics of conformally related metrics. Some applications of the concepts of gradient-index optics to general relativity are examined, such as effective indices of refraction for gravitational lensing and Gordon's optical metrics for optical media that are in a state of relative motion with respect to an observer. The latter topic is approached from the standpoint of pre-metric electromagnetism.
|
1901.07392
|
Ke Wang
|
Ke Wang
|
A Gravitational Wave Background from Primordial Black Hole Lattices in
Matter Dominated Era
|
11 pages, 6 figures
| null |
10.1088/0253-6102/71/10/1196
| null |
gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use the wide-used \textsf{Einstein Toolkit} to solve the Einstein
constraints and then simulate the expansion of primordial black hole lattices
(PBHLs) with different value of $f_{\mathrm{PBH}}$ and $m_{\mathrm{PBH}}$. We
find that $f_{\mathrm{PBH}}$ plays an important role during the evolution of
PBHLs. Since the motion of primordial black holes (PBHs) caused by the
expansion of PBHLs occurs at speeds close to that of light, we expect the
emission of gravitational waves (GWs) during the expansion of PBHLs. We use
both analytical estimates and numerical simulations to cross check the
production of GWs in expanding PBHLs.
|
[
{
"created": "Fri, 18 Jan 2019 10:02:59 GMT",
"version": "v1"
}
] |
2020-01-08
|
[
[
"Wang",
"Ke",
""
]
] |
We use the wide-used \textsf{Einstein Toolkit} to solve the Einstein constraints and then simulate the expansion of primordial black hole lattices (PBHLs) with different value of $f_{\mathrm{PBH}}$ and $m_{\mathrm{PBH}}$. We find that $f_{\mathrm{PBH}}$ plays an important role during the evolution of PBHLs. Since the motion of primordial black holes (PBHs) caused by the expansion of PBHLs occurs at speeds close to that of light, we expect the emission of gravitational waves (GWs) during the expansion of PBHLs. We use both analytical estimates and numerical simulations to cross check the production of GWs in expanding PBHLs.
|
0707.2664
|
Baojiu Li
|
Baojiu Li, John D. Barrow, David F. Mota
|
The Cosmology of Ricci-Tensor-Squared Gravity in the Palatini
Variational Approach
|
11 pages, 2 figures; version to appear in Phys. Rev. D
|
Phys.Rev.D76:104047,2007
|
10.1103/PhysRevD.76.104047
| null |
gr-qc astro-ph
| null |
We consider the cosmology of the Ricci-tensor-squared gravity in the Palatini
variational approach. The gravitational action of standard general relativity
is modified by adding a function f(R^abR_ab) to the Einstein-Hilbert action,
and the Palatini variation is used to derive the field equations. A general
method of obtaining the background and first-order covariant and
gauge-invariant perturbation equations is outlined. As an example, we consider
the cosmological constraints on such theories arising from the supernova type
Ia and cosmic microwave background observations. We find that the best fit to
the data is a non-null leading-order correction to Einstein gravity, but the
current data exhibit no significant preference over the concordance model. The
growth of non-relativistic matter density perturbations at late times is also
analyzed, and we find that a scale-dependent (positive or negative)
sound-speed-squared term generally appears in the growth equation for
small-scale density perturbations. We also estimate the observational bound
imposed by the matter power spectrum for the model with f(R^abR_ab) =
alpha(R^abR_ab)^beta to be roughly |\beta| \lesssim O(10^{-5}) so long as the
dark matter does not possess compensating anisotropic stresses.
|
[
{
"created": "Wed, 18 Jul 2007 08:01:22 GMT",
"version": "v1"
},
{
"created": "Sun, 7 Oct 2007 18:20:18 GMT",
"version": "v2"
},
{
"created": "Fri, 12 Oct 2007 15:22:00 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Li",
"Baojiu",
""
],
[
"Barrow",
"John D.",
""
],
[
"Mota",
"David F.",
""
]
] |
We consider the cosmology of the Ricci-tensor-squared gravity in the Palatini variational approach. The gravitational action of standard general relativity is modified by adding a function f(R^abR_ab) to the Einstein-Hilbert action, and the Palatini variation is used to derive the field equations. A general method of obtaining the background and first-order covariant and gauge-invariant perturbation equations is outlined. As an example, we consider the cosmological constraints on such theories arising from the supernova type Ia and cosmic microwave background observations. We find that the best fit to the data is a non-null leading-order correction to Einstein gravity, but the current data exhibit no significant preference over the concordance model. The growth of non-relativistic matter density perturbations at late times is also analyzed, and we find that a scale-dependent (positive or negative) sound-speed-squared term generally appears in the growth equation for small-scale density perturbations. We also estimate the observational bound imposed by the matter power spectrum for the model with f(R^abR_ab) = alpha(R^abR_ab)^beta to be roughly |\beta| \lesssim O(10^{-5}) so long as the dark matter does not possess compensating anisotropic stresses.
|
0805.2601
|
Javier Mas
|
Javier Mas, Jonathan P. Shock, Javier Tarrio and Dimitrios Zoakos
|
Holographic Spectral Functions at Finite Baryon Density
|
37 pages, 12 figures, v2: refs. added, typos corrected
|
JHEP 0809:009,2008
|
10.1088/1126-6708/2008/09/009
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using the AdS/CFT correspondence, we compute the spectral functions of
thermal super Yang Mills at large N_c coupled to a small number of flavours of
fundamental matter, N_f<<N_c, in the presence of a nonzero baryon density. The
holographic dual of such a theory involves the addition of probe D7-branes with
a background worldvolume gauge field switched on, embedded in the geometry of a
stack of black D3-branes. We perform the analysis in the vector and scalar
channels which become coupled for nonzero values of the spatial momentum and
baryon density. In addition, we obtain the effect of the presence of net baryon
charge on the photon production. We also extract the conductivity and find
perfect agreement with the results derived by Karch and O'Bannon in a
macroscopic setup.
|
[
{
"created": "Fri, 16 May 2008 18:51:16 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Nov 2008 17:55:14 GMT",
"version": "v2"
}
] |
2009-12-07
|
[
[
"Mas",
"Javier",
""
],
[
"Shock",
"Jonathan P.",
""
],
[
"Tarrio",
"Javier",
""
],
[
"Zoakos",
"Dimitrios",
""
]
] |
Using the AdS/CFT correspondence, we compute the spectral functions of thermal super Yang Mills at large N_c coupled to a small number of flavours of fundamental matter, N_f<<N_c, in the presence of a nonzero baryon density. The holographic dual of such a theory involves the addition of probe D7-branes with a background worldvolume gauge field switched on, embedded in the geometry of a stack of black D3-branes. We perform the analysis in the vector and scalar channels which become coupled for nonzero values of the spatial momentum and baryon density. In addition, we obtain the effect of the presence of net baryon charge on the photon production. We also extract the conductivity and find perfect agreement with the results derived by Karch and O'Bannon in a macroscopic setup.
|
1711.03337
|
Omar Foda
|
Omar Foda
|
Off-critical local height probabilities on a plane and critical
partition functions on a cylinder
|
28 pages
|
Nuclear Physics B, volume 928, March 2018, pages 279--326
|
10.1016/j.nuclphysb.2018.01.011
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute off-critical local height probabilities in regime-III restricted
solid-on-solid models in a $4 N$-quadrant spiral geometry, with periodic
boundary conditions in the angular direction, and fixed boundary conditions in
the radial direction, as a function of $N$, the winding number of the spiral,
and $\tau$, the departure from criticality of the model, and observe that the
result depends only on the product $N \, \tau$. In the limit $N \rightarrow 1$,
$\tau \rightarrow \tau_0$, such that $\tau_0$ is finite, we recover the
off-critical local height probability on a plane, $\tau_0$-away from
criticality. In the limit $N \rightarrow \infty$, $\tau \rightarrow 0$, such
that $N \, \tau = \tau_0$ is finite, and following a conformal transformation,
we obtain a critical partition function on a cylinder of aspect-ratio $\tau_0$.
We conclude that the off-critical local height probability on a plane,
$\tau_0$-away from criticality, is equal to a critical partition function on a
cylinder of aspect-ratio $\tau_0$, in agreement with a result of Saleur and
Bauer.
|
[
{
"created": "Thu, 9 Nov 2017 11:48:13 GMT",
"version": "v1"
}
] |
2018-03-08
|
[
[
"Foda",
"Omar",
""
]
] |
We compute off-critical local height probabilities in regime-III restricted solid-on-solid models in a $4 N$-quadrant spiral geometry, with periodic boundary conditions in the angular direction, and fixed boundary conditions in the radial direction, as a function of $N$, the winding number of the spiral, and $\tau$, the departure from criticality of the model, and observe that the result depends only on the product $N \, \tau$. In the limit $N \rightarrow 1$, $\tau \rightarrow \tau_0$, such that $\tau_0$ is finite, we recover the off-critical local height probability on a plane, $\tau_0$-away from criticality. In the limit $N \rightarrow \infty$, $\tau \rightarrow 0$, such that $N \, \tau = \tau_0$ is finite, and following a conformal transformation, we obtain a critical partition function on a cylinder of aspect-ratio $\tau_0$. We conclude that the off-critical local height probability on a plane, $\tau_0$-away from criticality, is equal to a critical partition function on a cylinder of aspect-ratio $\tau_0$, in agreement with a result of Saleur and Bauer.
|
1912.02694
|
Jialun Ping
|
Jing Zhou
|
Three Dimensional Gravity and Schramm-Loewner Evolution
|
4 pages, 1 figure
|
Can. J. Phys. 101 (2023) 532
|
10.1139/cjp-2022-0305
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The partition function of three dimensional gravity in the quantum regime is
dual to the Ising model when the central charge $c=1/2$. Mathematically, we
show that the three dimensional gravity can be described by Schramm-Loewner
Evolution(SLE) with certain $\kappa$. In fact, SLE depends on the parameter
$\kappa$ which controls the diffusion of the Brownian motion. Each value of $c
< 1$ corresponds to two values of $\kappa$, which may hint that the three
dimensional gravity has two different phases at certain central charge c.
Moreover, phase transition is also discussed in AdS and Ising model.
|
[
{
"created": "Wed, 4 Dec 2019 07:25:32 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Oct 2021 14:08:18 GMT",
"version": "v2"
},
{
"created": "Tue, 6 Aug 2024 02:55:08 GMT",
"version": "v3"
},
{
"created": "Wed, 7 Aug 2024 13:55:59 GMT",
"version": "v4"
}
] |
2024-08-08
|
[
[
"Zhou",
"Jing",
""
]
] |
The partition function of three dimensional gravity in the quantum regime is dual to the Ising model when the central charge $c=1/2$. Mathematically, we show that the three dimensional gravity can be described by Schramm-Loewner Evolution(SLE) with certain $\kappa$. In fact, SLE depends on the parameter $\kappa$ which controls the diffusion of the Brownian motion. Each value of $c < 1$ corresponds to two values of $\kappa$, which may hint that the three dimensional gravity has two different phases at certain central charge c. Moreover, phase transition is also discussed in AdS and Ising model.
|
0808.2808
|
Junji Jia
|
Junji Jia
|
New spherically symmetric solutions in Einstein-Yang-Mills-Higgs model
|
19 pages, 7 figures, revtex4
|
Canadian Journal of Physics 88 (2010) 189-200
|
10.1139/P10-013
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study classical solutions in the SU(2) Einstein-Yang-Mills-Higgs theory.
The spherically symmetric ans\"atze for all fields are given and the equations
of motion are derived as a system of ordinary differential equations. The
asymptotics and the boundary conditions at space origin for regular solutions
and at event horizon for black hole solutions are studied. Using the shooting
method, we found numerical solutions to the theory. For regular solutions, we
find two new sets of asymptotically flat solutions. Each of these sets contains
continua of solutions in the parameter space spanned by the shooting
parameters. The solutions bifurcate along these parameter curves and the
bifurcation are argued to be due to the internal structure of the model. Both
sets of the solutions are asymptotically flat but one is exponentially so and
the other is so with oscillations. For black holes, a new set of boundary
conditions is studied and it is found that there also exists a continuum of
black hole solutions in parameter space and similar bifurcation behavior is
also present to these solutions. The SU(2) charges of these solutions are found
zero and these solutions are proven to be unstable.
|
[
{
"created": "Wed, 20 Aug 2008 20:28:31 GMT",
"version": "v1"
},
{
"created": "Sat, 27 Mar 2010 04:19:56 GMT",
"version": "v2"
}
] |
2022-09-28
|
[
[
"Jia",
"Junji",
""
]
] |
We study classical solutions in the SU(2) Einstein-Yang-Mills-Higgs theory. The spherically symmetric ans\"atze for all fields are given and the equations of motion are derived as a system of ordinary differential equations. The asymptotics and the boundary conditions at space origin for regular solutions and at event horizon for black hole solutions are studied. Using the shooting method, we found numerical solutions to the theory. For regular solutions, we find two new sets of asymptotically flat solutions. Each of these sets contains continua of solutions in the parameter space spanned by the shooting parameters. The solutions bifurcate along these parameter curves and the bifurcation are argued to be due to the internal structure of the model. Both sets of the solutions are asymptotically flat but one is exponentially so and the other is so with oscillations. For black holes, a new set of boundary conditions is studied and it is found that there also exists a continuum of black hole solutions in parameter space and similar bifurcation behavior is also present to these solutions. The SU(2) charges of these solutions are found zero and these solutions are proven to be unstable.
|
1401.3595
|
Nakwoo Kim
|
Dongmin Gang, Nakwoo Kim and Sangmin Lee
|
Holography of Wrapped M5-branes and Chern-Simons theory
|
5 pages, 2 figures. Some clarifications, references added, misprint
corrected
| null |
10.1016/j.physletb.2014.04.051
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study three-dimensional superconformal field theories on wrapped
M5-branes. Applying the gauge/gravity duality and the recently proposed 3d-3d
relation, we deduce quantitative predictions for the perturbative free energy
of a Chern-Simons theory on hyperbolic 3-space. Remarkably, the perturbative
expansion is expected to terminate at two-loops in the large N limit. We check
the correspondence numerically in a number of examples, and confirm the N^3
scaling with precise coefficients.
|
[
{
"created": "Wed, 15 Jan 2014 14:07:22 GMT",
"version": "v1"
},
{
"created": "Thu, 15 May 2014 05:51:56 GMT",
"version": "v2"
},
{
"created": "Sun, 30 Aug 2015 13:09:32 GMT",
"version": "v3"
}
] |
2015-09-01
|
[
[
"Gang",
"Dongmin",
""
],
[
"Kim",
"Nakwoo",
""
],
[
"Lee",
"Sangmin",
""
]
] |
We study three-dimensional superconformal field theories on wrapped M5-branes. Applying the gauge/gravity duality and the recently proposed 3d-3d relation, we deduce quantitative predictions for the perturbative free energy of a Chern-Simons theory on hyperbolic 3-space. Remarkably, the perturbative expansion is expected to terminate at two-loops in the large N limit. We check the correspondence numerically in a number of examples, and confirm the N^3 scaling with precise coefficients.
|
hep-th/0002202
|
Justin David
|
Justin R. David
|
Infra-red dynamics of D1-branes at the conifold
|
20 pages, latex, some clarifications added, version to appear in JHEP
|
JHEP 0005 (2000) 019
|
10.1088/1126-6708/2000/05/019
| null |
hep-th
| null |
We study the infra-red dynamics of D1-branes at the conifold. We show using
methods developed to study the infra-red dynamics of (4,4) theories, the
infra-red degrees of freedom of the (2,2) theory of a single D1-brane at the
conifold is that of a linear dilaton with background charge of $\sqrt{2}$ and a
compact scalar. The gauge theory of $N$ D1-branes at the conifold is used to
formulate the matrix string in the conifold background.
|
[
{
"created": "Thu, 24 Feb 2000 03:08:54 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Apr 2000 03:27:07 GMT",
"version": "v2"
},
{
"created": "Tue, 9 May 2000 21:41:04 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"David",
"Justin R.",
""
]
] |
We study the infra-red dynamics of D1-branes at the conifold. We show using methods developed to study the infra-red dynamics of (4,4) theories, the infra-red degrees of freedom of the (2,2) theory of a single D1-brane at the conifold is that of a linear dilaton with background charge of $\sqrt{2}$ and a compact scalar. The gauge theory of $N$ D1-branes at the conifold is used to formulate the matrix string in the conifold background.
|
hep-th/9609077
|
Yoshihisa Kitazawa
|
Toshiaki Aida and Yoshihisa Kitazawa
|
Two-loop Prediction for Scaling Exponents in (2 + \epsilon)-dimensional
Quantum Gravity
|
36 pages, Latex file, 6 figures
|
Nucl.Phys. B491 (1997) 427-460
|
10.1016/S0550-3213(97)00091-6
|
TIT-HEP-343
|
hep-th
| null |
We perform the two loop level renormalization of quantum gravity in
$2+\epsilon$ dimensions. We work in the background gauge whose manifest
covariance enables us to use the short distance expansion of the Green's
functions. We explicitly show that the theory is renormalizable to the two loop
level in our formalism. We further make a physical prediction for the scaling
relation between the gravitational coupling constant and the cosmological
constant which is expected to hold at the short distance fixed point of the
renormalization group. It is found that the two loop level calculation is
necessary to determine the scaling exponent to the leading order in $\epsilon$.
|
[
{
"created": "Tue, 10 Sep 1996 08:33:22 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Aida",
"Toshiaki",
""
],
[
"Kitazawa",
"Yoshihisa",
""
]
] |
We perform the two loop level renormalization of quantum gravity in $2+\epsilon$ dimensions. We work in the background gauge whose manifest covariance enables us to use the short distance expansion of the Green's functions. We explicitly show that the theory is renormalizable to the two loop level in our formalism. We further make a physical prediction for the scaling relation between the gravitational coupling constant and the cosmological constant which is expected to hold at the short distance fixed point of the renormalization group. It is found that the two loop level calculation is necessary to determine the scaling exponent to the leading order in $\epsilon$.
|
hep-th/9610123
|
Carlos Naon
|
M.V. Manias, C.M. Naon and M.L. Trobo
|
Factored coset approach to bosonization in the context of topological
backgrounds and massive fermions
|
10 pages, latex, no figures, To appear in Mod.Phys.Lett.A
|
Mod.Phys.Lett. A12 (1997) 1283-1289
|
10.1142/S0217732397001291
|
La Plata 96-03
|
hep-th
| null |
We consider a recently proposed approach to bosonization in which the
original fermionic partition function is expressed as a product of a
$G/G$-coset model and a bosonic piece that contains the dynamics. In particular
we show how the method works when topological backgrounds are taken into
account. We also discuss the application of this technique to the case of
massive fermions.
|
[
{
"created": "Wed, 16 Oct 1996 19:33:00 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Manias",
"M. V.",
""
],
[
"Naon",
"C. M.",
""
],
[
"Trobo",
"M. L.",
""
]
] |
We consider a recently proposed approach to bosonization in which the original fermionic partition function is expressed as a product of a $G/G$-coset model and a bosonic piece that contains the dynamics. In particular we show how the method works when topological backgrounds are taken into account. We also discuss the application of this technique to the case of massive fermions.
|
hep-th/0503143
|
Joseph A. Minahan
|
Joseph A. Minahan
|
The SU(2) sector in AdS/CFT
|
17 Pages, no figures, to appear in the proceedings of the RTN
workshop, Kolymbari, Crete, September 2004; v2 refs added, footnote changed
|
Fortsch.Phys. 53 (2005) 828-838
|
10.1002/prop.200410204
|
UUITP-04-05, CTP-MIT-3610
|
hep-th
| null |
In the large N limit of N=4 Super Yang-Mills, the mixing under dilatations of
the SU(2) sector, single trace operators composed of L complex scalar fields of
two types, is closed to all orders in perturbation theory. By relying on the
AdS/CFT correspondence, and by examining the currents for semiclassical
strings, we present evidence which implies that there are small mixings that
contradict the closure of the SU(2) sector in the strong coupling limit. These
mixings first appear to second order in the \lambda/L^2 expansion.
|
[
{
"created": "Fri, 18 Mar 2005 16:39:13 GMT",
"version": "v1"
},
{
"created": "Sun, 24 Apr 2005 13:11:59 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Minahan",
"Joseph A.",
""
]
] |
In the large N limit of N=4 Super Yang-Mills, the mixing under dilatations of the SU(2) sector, single trace operators composed of L complex scalar fields of two types, is closed to all orders in perturbation theory. By relying on the AdS/CFT correspondence, and by examining the currents for semiclassical strings, we present evidence which implies that there are small mixings that contradict the closure of the SU(2) sector in the strong coupling limit. These mixings first appear to second order in the \lambda/L^2 expansion.
|
hep-th/9905222
|
Takuya Tsukioka
|
Noboru Kawamoto and Takuya Tsukioka
|
N=2 Supersymmetric Model with Dirac-Kahler Fermions from Generalized
Gauge Theory in Two Dimensions
|
22 pages, LaTeX
|
Phys.Rev. D61 (2000) 105009
|
10.1103/PhysRevD.61.105009
|
HPHOU-99-008
|
hep-th
| null |
We investigate the generalized gauge theory which has been proposed
previously and show that in two dimensions the instanton gauge fixing of the
generalized topological Yang-Mills action leads to a twisted N=2 supersymmetric
action. We have found that the R-symmetry of N=2 supersymmetry can be
identified with the flavour symmetry of Dirac-Kahler fermion formulation. Thus
the procedure of twist allows topological ghost fields to be interpreted as the
Dirac-Kahler matter fermions.
|
[
{
"created": "Mon, 31 May 1999 10:56:28 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Kawamoto",
"Noboru",
""
],
[
"Tsukioka",
"Takuya",
""
]
] |
We investigate the generalized gauge theory which has been proposed previously and show that in two dimensions the instanton gauge fixing of the generalized topological Yang-Mills action leads to a twisted N=2 supersymmetric action. We have found that the R-symmetry of N=2 supersymmetry can be identified with the flavour symmetry of Dirac-Kahler fermion formulation. Thus the procedure of twist allows topological ghost fields to be interpreted as the Dirac-Kahler matter fermions.
|
1209.2853
|
Heikki M\"antysaari
|
T. Lappi, H. M\"antysaari
|
Forward dihadron correlations in deuteron-gold collisions with a
Gaussian approximation of JIMWLK
|
15 pages, 12 figures, RevTeX. v2: Published in Nucl. Phys. A
|
Nucl.Phys. A908 (2013) 51-72
|
10.1016/j.nuclphysa.2013.03.017
| null |
hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute dihadron correlations in forward deuteron-gold or proton-gold
collisions. The running coupling BK equation is used to calculate the energy
dependence of the dipole cross sections and extended to higher point Wilson
line correlators using a factorized Gaussian approximation. Unlike some earlier
works we include both the "inelastic" and "elastic" contributions to the
dihadron cross section. We show that the double parton scattering contribution
is included in our calculation and obtain both an away side peak that roughly
agrees with experimental observations and an estimate for the azimuthal
angle-independent pedestal. We find that nonlinear effects for momenta close to
the saturation scale are clearly visible in the away side peak structure.
|
[
{
"created": "Thu, 13 Sep 2012 11:16:12 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Apr 2013 10:58:36 GMT",
"version": "v2"
}
] |
2013-04-11
|
[
[
"Lappi",
"T.",
""
],
[
"Mäntysaari",
"H.",
""
]
] |
We compute dihadron correlations in forward deuteron-gold or proton-gold collisions. The running coupling BK equation is used to calculate the energy dependence of the dipole cross sections and extended to higher point Wilson line correlators using a factorized Gaussian approximation. Unlike some earlier works we include both the "inelastic" and "elastic" contributions to the dihadron cross section. We show that the double parton scattering contribution is included in our calculation and obtain both an away side peak that roughly agrees with experimental observations and an estimate for the azimuthal angle-independent pedestal. We find that nonlinear effects for momenta close to the saturation scale are clearly visible in the away side peak structure.
|
hep-th/9911086
|
Andrew Billyard
|
Andrew P. Billyard (1), Alan A. Coley (2), and James E. Lidsey (3)
((1) Queen's University, Kingston, Canada, (2) Dalhousie University, Halifax,
Canada, (2) Queen Mary & Westfield, London, England)
|
Qualitative Analysis of Isotropic Curvature String Cosmologies
|
Accepted to Classical and Quantum Gravity, 40 pages, 12 figures (uses
"graphicx" package for figures)
|
Class.Quant.Grav. 17 (2000) 453-484
|
10.1088/0264-9381/17/2/313
| null |
hep-th gr-qc
| null |
A complete qualitative study of the dynamics of string cosmologies is
presented for the class of isotopic curvature universes. These models are of
Bianchi types I, V and IX and reduce to the general class of
Friedmann-Robertson-Walker universes in the limit of vanishing shear isotropy.
A non-trivial two-form potential and cosmological constant terms are included
in the system. In general, the two-form potential and spatial curvature terms
are only dynamically important at intermediate stages of the evolution. In many
of the models, the cosmological constant is important asymptotically and
anisotropy becomes dynamically negligible. There also exist bouncing
cosmologies.
|
[
{
"created": "Fri, 12 Nov 1999 06:07:59 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Billyard",
"Andrew P.",
""
],
[
"Coley",
"Alan A.",
""
],
[
"Lidsey",
"James E.",
""
]
] |
A complete qualitative study of the dynamics of string cosmologies is presented for the class of isotopic curvature universes. These models are of Bianchi types I, V and IX and reduce to the general class of Friedmann-Robertson-Walker universes in the limit of vanishing shear isotropy. A non-trivial two-form potential and cosmological constant terms are included in the system. In general, the two-form potential and spatial curvature terms are only dynamically important at intermediate stages of the evolution. In many of the models, the cosmological constant is important asymptotically and anisotropy becomes dynamically negligible. There also exist bouncing cosmologies.
|
2401.00494
|
Mikhail Podoinitsyn
|
I.L. Buchbinder, S.A. Fedoruk, A.P. Isaev, M.A. Podoinitsyn
|
Generalization of the Bargmann-Wigner approach to constructing
relativistic fields
|
1+12 pages, Contribution to the Proceedings of the International
Conference on Particle Physics and Cosmology (professor V.A. Rubakov memorial
conference), October 02-07, 2023, Yerevan, Armenia
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We review the method for constructing local relativistic fields corresponding
to the Bargmann-Wigner wave functions that describe the unitary irreducible
representations of the $4D$ Poincar\'{e} group. The method is based on the use
of the generalized Wigner operator connecting the wave functions of induced
representations and local relativistic fields. Applications of this operator
for constructing massive local relativistic fields as well as massless helicity
local fields and massless local infinite spin fields are considered.
|
[
{
"created": "Sun, 31 Dec 2023 13:28:28 GMT",
"version": "v1"
}
] |
2024-01-02
|
[
[
"Buchbinder",
"I. L.",
""
],
[
"Fedoruk",
"S. A.",
""
],
[
"Isaev",
"A. P.",
""
],
[
"Podoinitsyn",
"M. A.",
""
]
] |
We review the method for constructing local relativistic fields corresponding to the Bargmann-Wigner wave functions that describe the unitary irreducible representations of the $4D$ Poincar\'{e} group. The method is based on the use of the generalized Wigner operator connecting the wave functions of induced representations and local relativistic fields. Applications of this operator for constructing massive local relativistic fields as well as massless helicity local fields and massless local infinite spin fields are considered.
|
1604.04617
|
Nathan Berkovits
|
Nathan Berkovits (ICTP-SAIFR and IFT-UNESP, Sao Paulo)
|
Untwisting the Pure Spinor Formalism to the RNS and Twistor String in a
Flat and $AdS_5\times S^5$ Background
|
30 pages. Corrected typos, added 2 footnotes, and dedicated paper to
Mario Tonin
| null |
10.1007/JHEP06(2016)127
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The pure spinor formalism for the superstring can be formulated as a twisted
N=2 worldsheet theory with fermionic generators $j_{BRST}$ and composite $b$
ghost. After untwisting the formalism to an N=1 worldsheet theory with
fermionic stress tensor $j_{BRST}+b$, the worldsheet variables combine into N=1
worldsheet superfields $X^m$ and $\Theta^\alpha$ together with a superfield
constraint relating $DX^m$ and $D\Theta^\alpha$. The constraint implies that
the worldsheet superpartner of $\theta^\alpha$ is a bosonic twistor variable,
and different solutions of the constraint give rise to the pure spinor or
extended RNS formalisms, as well as a new twistor-string formalism with
manifest N=1 worldsheet supersymmetry.
These N=1 worldsheet methods generalize in curved Ramond-Ramond backgrounds,
and a manifestly N=1 worldsheet supersymmetric action is proposed for the
superstring in an $AdS_5\times S^5$ background in terms of the twistor
superfields. This $AdS_5\times S^5$ worldsheet action is a remarkably simple
fermionic coset model with manifest $PSU(2,2|4)$ symmetry and might be useful
for computing $AdS_5\times S^5$ superstring scattering amplitudes.
|
[
{
"created": "Fri, 15 Apr 2016 19:53:41 GMT",
"version": "v1"
},
{
"created": "Wed, 4 May 2016 10:36:47 GMT",
"version": "v2"
}
] |
2016-07-20
|
[
[
"Berkovits",
"Nathan",
"",
"ICTP-SAIFR and IFT-UNESP, Sao Paulo"
]
] |
The pure spinor formalism for the superstring can be formulated as a twisted N=2 worldsheet theory with fermionic generators $j_{BRST}$ and composite $b$ ghost. After untwisting the formalism to an N=1 worldsheet theory with fermionic stress tensor $j_{BRST}+b$, the worldsheet variables combine into N=1 worldsheet superfields $X^m$ and $\Theta^\alpha$ together with a superfield constraint relating $DX^m$ and $D\Theta^\alpha$. The constraint implies that the worldsheet superpartner of $\theta^\alpha$ is a bosonic twistor variable, and different solutions of the constraint give rise to the pure spinor or extended RNS formalisms, as well as a new twistor-string formalism with manifest N=1 worldsheet supersymmetry. These N=1 worldsheet methods generalize in curved Ramond-Ramond backgrounds, and a manifestly N=1 worldsheet supersymmetric action is proposed for the superstring in an $AdS_5\times S^5$ background in terms of the twistor superfields. This $AdS_5\times S^5$ worldsheet action is a remarkably simple fermionic coset model with manifest $PSU(2,2|4)$ symmetry and might be useful for computing $AdS_5\times S^5$ superstring scattering amplitudes.
|
0912.1877
|
Manuela Kulaxizi
|
Jan de Boer, Manuela Kulaxizi, Andrei Parnachev
|
Holographic Lovelock Gravities and Black Holes
|
31 pages, 1 figure, harvmac, references added, calculation of
viscosity/entropy ratio included
|
JHEP 1006:008,2010
|
10.1007/JHEP06(2010)008
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study holographic implications of Lovelock gravities in AdS spacetimes.
For a generic Lovelock gravity in arbitrary spacetime dimensions we formulate
the existence condition for asymptotically AdS black holes. We consider small
fluctuations around these black holes and determine the constraint on Lovelock
parameters by demanding causality of the boundary theory. For the case of cubic
Lovelock gravity in seven spacetime dimensions we compute the holographic Weyl
anomaly and determine the three point functions of the stress energy tensor in
the boundary CFT. Remarkably, these correlators happen to satisfy the same
relation as the one imposed by supersymmetry. We then compute the energy flux;
requiring it to be positive is shown to be completely equivalent to requiring
causality of the finite temperature CFT dual to the black hole. These
constraints are not stringent enough to place any positive lower bound on the
value of viscosity. Finally, we conjecture an expression for the energy flux
valid for any Lovelock theory in arbitrary dimensions.
|
[
{
"created": "Thu, 10 Dec 2009 20:28:19 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Apr 2010 16:54:28 GMT",
"version": "v2"
}
] |
2014-11-20
|
[
[
"de Boer",
"Jan",
""
],
[
"Kulaxizi",
"Manuela",
""
],
[
"Parnachev",
"Andrei",
""
]
] |
We study holographic implications of Lovelock gravities in AdS spacetimes. For a generic Lovelock gravity in arbitrary spacetime dimensions we formulate the existence condition for asymptotically AdS black holes. We consider small fluctuations around these black holes and determine the constraint on Lovelock parameters by demanding causality of the boundary theory. For the case of cubic Lovelock gravity in seven spacetime dimensions we compute the holographic Weyl anomaly and determine the three point functions of the stress energy tensor in the boundary CFT. Remarkably, these correlators happen to satisfy the same relation as the one imposed by supersymmetry. We then compute the energy flux; requiring it to be positive is shown to be completely equivalent to requiring causality of the finite temperature CFT dual to the black hole. These constraints are not stringent enough to place any positive lower bound on the value of viscosity. Finally, we conjecture an expression for the energy flux valid for any Lovelock theory in arbitrary dimensions.
|
1906.01652
|
Eric D'Hoker
|
Eric D'Hoker and Michael B. Green
|
Exploring transcendentality in superstring amplitudes
|
65 pages, 4 figures; typos corrected, reference added, minor edits in
version 2; factor of 4 corrected in theorem 4.1 in version 3
| null |
10.1007/JHEP07(2019)149
| null |
hep-th math.NT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is well known that the low energy expansion of tree-level superstring
scattering amplitudes satisfies a suitably defined version of maximum
transcendentality. In this paper it is argued that there is a natural extension
of this definition that applies to the genus-one four-graviton Type II
superstring amplitude to all orders in the low-energy expansion. To obtain this
result, the integral over the genus-one moduli space is partitioned into a
region ${\cal M}_R$ surrounding the cusp and its complement ${\cal M}_L$, and
an exact expression is obtained for the contribution to the amplitude from
${\cal M}_R$. The low-energy expansion of the ${\cal M}_R$ contribution is
proven to be free of irreducible multiple zeta-values to all orders. The
contribution to the amplitude from ${\cal M}_L$ is computed in terms of modular
graph functions up to order $D^{12} {\cal R}^4$ in the low-energy expansion,
and general arguments are used beyond this order to conjecture the
transcendentality properties of the ${\cal M}_L$ contributions. Maximal
transcendentality of the full amplitude holds provided we assign a non-zero
weight to certain harmonic sums, an assumption which is familiar from
transcendentality assignments in quantum field theory amplitudes.
|
[
{
"created": "Tue, 4 Jun 2019 18:00:11 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Jul 2019 22:44:37 GMT",
"version": "v2"
},
{
"created": "Mon, 28 Jun 2021 15:40:21 GMT",
"version": "v3"
}
] |
2021-06-29
|
[
[
"D'Hoker",
"Eric",
""
],
[
"Green",
"Michael B.",
""
]
] |
It is well known that the low energy expansion of tree-level superstring scattering amplitudes satisfies a suitably defined version of maximum transcendentality. In this paper it is argued that there is a natural extension of this definition that applies to the genus-one four-graviton Type II superstring amplitude to all orders in the low-energy expansion. To obtain this result, the integral over the genus-one moduli space is partitioned into a region ${\cal M}_R$ surrounding the cusp and its complement ${\cal M}_L$, and an exact expression is obtained for the contribution to the amplitude from ${\cal M}_R$. The low-energy expansion of the ${\cal M}_R$ contribution is proven to be free of irreducible multiple zeta-values to all orders. The contribution to the amplitude from ${\cal M}_L$ is computed in terms of modular graph functions up to order $D^{12} {\cal R}^4$ in the low-energy expansion, and general arguments are used beyond this order to conjecture the transcendentality properties of the ${\cal M}_L$ contributions. Maximal transcendentality of the full amplitude holds provided we assign a non-zero weight to certain harmonic sums, an assumption which is familiar from transcendentality assignments in quantum field theory amplitudes.
|
0807.1495
|
Artemio Gonzalez-Lopez
|
J.C. Barba, F. Finkel, A. Gonzalez-Lopez, M.A. Rodriguez
|
An exactly solvable supersymmetric spin chain of BC_N type
|
36 pages, 7 figures
|
Nucl.Phys.B806:684-714,2009
|
10.1016/j.nuclphysb.2008.08.014
| null |
hep-th cond-mat.str-el math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct a new exactly solvable supersymmetric spin chain related to the
BC_N extended root system, which includes as a particular case the BC_N version
of the Polychronakos-Frahm spin chain. We also introduce a supersymmetric spin
dynamical model of Calogero type which yields the new chain in the large
coupling limit. This connection is exploited to derive two different
closed-form expressions for the chain's partition function by means of
Polychronakos's freezing trick. We establish a boson-fermion duality relation
for the new chain's spectrum, which is in fact valid for a large class of (not
necessarily integrable) spin chains of BC_N type. The exact expressions for the
partition function are also used to study the chain's spectrum as a whole,
showing that the level density is normally distributed even for a moderately
large number of particles. We also determine a simple analytic approximation to
the distribution of normalized spacings between consecutive levels which fits
the numerical data with remarkable accuracy. Our results provide further
evidence that spin chains of Haldane-Shastry type are exceptional integrable
models, in the sense that their spacings distribution is not Poissonian, as
posited by the Berry-Tabor conjecture for "generic'' quantum integrable
systems.
|
[
{
"created": "Wed, 9 Jul 2008 16:58:50 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Barba",
"J. C.",
""
],
[
"Finkel",
"F.",
""
],
[
"Gonzalez-Lopez",
"A.",
""
],
[
"Rodriguez",
"M. A.",
""
]
] |
We construct a new exactly solvable supersymmetric spin chain related to the BC_N extended root system, which includes as a particular case the BC_N version of the Polychronakos-Frahm spin chain. We also introduce a supersymmetric spin dynamical model of Calogero type which yields the new chain in the large coupling limit. This connection is exploited to derive two different closed-form expressions for the chain's partition function by means of Polychronakos's freezing trick. We establish a boson-fermion duality relation for the new chain's spectrum, which is in fact valid for a large class of (not necessarily integrable) spin chains of BC_N type. The exact expressions for the partition function are also used to study the chain's spectrum as a whole, showing that the level density is normally distributed even for a moderately large number of particles. We also determine a simple analytic approximation to the distribution of normalized spacings between consecutive levels which fits the numerical data with remarkable accuracy. Our results provide further evidence that spin chains of Haldane-Shastry type are exceptional integrable models, in the sense that their spacings distribution is not Poissonian, as posited by the Berry-Tabor conjecture for "generic'' quantum integrable systems.
|
2106.01374
|
Yuanhong Guo
|
Yuanhong Guo, Lei Wang, Gang Yang
|
Bootstrapping a Two-Loop Four-Point Form Factor
|
11 pages, 3 figures, 4 tables; v2: references added, published
version
|
Phys. Rev. Lett. 127, 151602 (2021)
|
10.1103/PhysRevLett.127.151602
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the two-loop four-point form factor of a length-3 half-BPS
operator in planar N=4 SYM, which belongs to the class of two-loop five-point
scattering observables with one off-shell color-singlet leg. A new
bootstrapping strategy is developed to obtain this result by starting with an
ansatz expanded in terms of master integrals and then solving the master
coefficients via various physical constraints. We find that consistency
conditions of infrared divergences and collinear limits, together with the
cancellation of spurious poles, can fix a significant part of the ansatz. The
remaining degrees of freedom can be fixed by one simple type of two-double
unitarity cut. Full analytic results in terms of both symbol and Goncharov
polylogarithms are provided.
|
[
{
"created": "Wed, 2 Jun 2021 18:00:00 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Oct 2021 07:53:32 GMT",
"version": "v2"
}
] |
2021-10-13
|
[
[
"Guo",
"Yuanhong",
""
],
[
"Wang",
"Lei",
""
],
[
"Yang",
"Gang",
""
]
] |
We compute the two-loop four-point form factor of a length-3 half-BPS operator in planar N=4 SYM, which belongs to the class of two-loop five-point scattering observables with one off-shell color-singlet leg. A new bootstrapping strategy is developed to obtain this result by starting with an ansatz expanded in terms of master integrals and then solving the master coefficients via various physical constraints. We find that consistency conditions of infrared divergences and collinear limits, together with the cancellation of spurious poles, can fix a significant part of the ansatz. The remaining degrees of freedom can be fixed by one simple type of two-double unitarity cut. Full analytic results in terms of both symbol and Goncharov polylogarithms are provided.
|
hep-th/0610243
|
Michael Thies
|
Felix Karbstein, Michael Thies
|
How to get from imaginary to real chemical potential
|
revtex, 9 pages, 10 figures; v2: add more references, modify
concluding section
|
Phys.Rev.D75:025003,2007
|
10.1103/PhysRevD.75.025003
| null |
hep-th hep-lat hep-ph
| null |
Using the exactly solvable Gross-Neveu model as theoretical laboratory, we
analyse in detail the relationship between a relativistic quantum field theory
at real and imaginary chemical potential. We find that one can retrieve the
full information about the phase diagram of the theory from an imaginary
chemical potential calculation. The prerequisite is to evaluate and
analytically continue the effective potential for the chiral order parameter,
rather than thermodynamic observables or phase boundaries. In the case of an
inhomogeneous phase, one needs to compute the full effective action, a
functional of the space-dependent order parameter, at imaginary chemical
potential.
|
[
{
"created": "Mon, 23 Oct 2006 13:38:23 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Oct 2006 14:43:23 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Karbstein",
"Felix",
""
],
[
"Thies",
"Michael",
""
]
] |
Using the exactly solvable Gross-Neveu model as theoretical laboratory, we analyse in detail the relationship between a relativistic quantum field theory at real and imaginary chemical potential. We find that one can retrieve the full information about the phase diagram of the theory from an imaginary chemical potential calculation. The prerequisite is to evaluate and analytically continue the effective potential for the chiral order parameter, rather than thermodynamic observables or phase boundaries. In the case of an inhomogeneous phase, one needs to compute the full effective action, a functional of the space-dependent order parameter, at imaginary chemical potential.
|
0710.2093
|
Sylvain Ribault
|
V. Fateev (LPTA), S. Ribault (LPTA)
|
Boundary action of the H3+ model
|
10 pages, v2: added a clarification on gluing conditions and
symmetries
|
JHEP 0802:024,2008
|
10.1088/1126-6708/2008/02/024
| null |
hep-th
| null |
We find the boundary action for Euclidean AdS2 D-branes in H3+. This action
is consistent with the D-branes' symmetries and with the H3+-Liouville relation
for disc correlators. It can be used for performing free-field calculations in
the H3+ model with boundaries. We explicitly perform the Coulomb-like integrals
which appear in the free-field calculation of the bulk one-point function, and
find agreement with previously known conformal bootstrap results.
|
[
{
"created": "Wed, 10 Oct 2007 18:47:04 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Feb 2008 14:20:53 GMT",
"version": "v2"
}
] |
2009-05-20
|
[
[
"Fateev",
"V.",
"",
"LPTA"
],
[
"Ribault",
"S.",
"",
"LPTA"
]
] |
We find the boundary action for Euclidean AdS2 D-branes in H3+. This action is consistent with the D-branes' symmetries and with the H3+-Liouville relation for disc correlators. It can be used for performing free-field calculations in the H3+ model with boundaries. We explicitly perform the Coulomb-like integrals which appear in the free-field calculation of the bulk one-point function, and find agreement with previously known conformal bootstrap results.
|
hep-th/9608108
|
Igor Klebanov
|
Steven S. Gubser and Igor R. Klebanov
|
Emission of charged particles from four- and five-dimensional black
holes
|
15 pages, latex; typos corrected, a reference added
|
Nucl.Phys. B482 (1996) 173-186
|
10.1016/S0550-3213(96)00496-8
|
PUPT-1644
|
hep-th
| null |
Recently Das and Mathur found that the leading order Hawking emission rate of
neutral scalars by near-extremal $D=5$ black holes is exactly reproduced by a
string theoretic model involving intersecting D-branes. We show that the
agreement continues to hold for charged scalar emission. We further show that
similar agreement can be obtained for a class of near-extremal $D=4$ black
holes using a model inspired by M-theory. In this model, BPS saturated $D=4$
black holes with four charges are realized in M-theory as 5-branes triply
intersecting over a string. The low-energy excitations are signals traveling on
the intersection string.
|
[
{
"created": "Thu, 15 Aug 1996 22:50:19 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Aug 1996 22:06:39 GMT",
"version": "v2"
},
{
"created": "Tue, 10 Sep 1996 21:35:50 GMT",
"version": "v3"
}
] |
2016-09-06
|
[
[
"Gubser",
"Steven S.",
""
],
[
"Klebanov",
"Igor R.",
""
]
] |
Recently Das and Mathur found that the leading order Hawking emission rate of neutral scalars by near-extremal $D=5$ black holes is exactly reproduced by a string theoretic model involving intersecting D-branes. We show that the agreement continues to hold for charged scalar emission. We further show that similar agreement can be obtained for a class of near-extremal $D=4$ black holes using a model inspired by M-theory. In this model, BPS saturated $D=4$ black holes with four charges are realized in M-theory as 5-branes triply intersecting over a string. The low-energy excitations are signals traveling on the intersection string.
|
2108.12096
|
Kenta Suzuki
|
Kenta Suzuki, Tadashi Takayanagi
|
JT Gravity Limit of Liouville CFT and Matrix Model
|
33 pages, 3 figures; v2 minor modifications + references added
| null |
10.1007/JHEP11(2021)137
|
YITP-21-88, IPMU21-0054
|
hep-th
|
http://creativecommons.org/publicdomain/zero/1.0/
|
In this paper we study a connection between Jackiw-Teitelboim (JT) gravity on
two-dimensional anti de-Sitter spaces and a semiclassical limit of $c<1$
two-dimensional string theory. The world-sheet theory of the latter consists of
a space-like Liouville CFT coupled to a non-rational CFT defined by a time-like
Liouville CFT. We show that their actions, disk partition functions and annulus
amplitudes perfectly agree with each other, where the presence of boundary
terms plays a crucial role. We also reproduce the boundary Schwarzian theory
from the Liouville theory description. Then, we identify a matrix model dual of
our two-dimensional string theory with a specific time-dependent background in
$c=1$ matrix quantum mechanics. Finally, we also explain the corresponding
relation for the two-dimensional de-Sitter JT gravity.
|
[
{
"created": "Fri, 27 Aug 2021 02:52:54 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Nov 2021 02:09:22 GMT",
"version": "v2"
}
] |
2021-12-08
|
[
[
"Suzuki",
"Kenta",
""
],
[
"Takayanagi",
"Tadashi",
""
]
] |
In this paper we study a connection between Jackiw-Teitelboim (JT) gravity on two-dimensional anti de-Sitter spaces and a semiclassical limit of $c<1$ two-dimensional string theory. The world-sheet theory of the latter consists of a space-like Liouville CFT coupled to a non-rational CFT defined by a time-like Liouville CFT. We show that their actions, disk partition functions and annulus amplitudes perfectly agree with each other, where the presence of boundary terms plays a crucial role. We also reproduce the boundary Schwarzian theory from the Liouville theory description. Then, we identify a matrix model dual of our two-dimensional string theory with a specific time-dependent background in $c=1$ matrix quantum mechanics. Finally, we also explain the corresponding relation for the two-dimensional de-Sitter JT gravity.
|
1803.10256
|
Falko Dulat
|
Johannes Broedel, Claude Duhr, Falko Dulat, Brenda Penante, Lorenzo
Tancredi
|
Elliptic symbol calculus: from elliptic polylogarithms to iterated
integrals of Eisenstein series
|
65 pages
| null |
10.1007/JHEP08(2018)014
| null |
hep-th hep-ph math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a generalization of the symbol calculus from ordinary multiple
polylogarithms to their elliptic counterparts. Our formalism is based on a
special case of a coaction on large classes of periods that is applied in
particular to elliptic polylogarithms and iterated integrals of modular forms.
We illustrate how to use our formalism to derive relations among elliptic
polylogarithms, in complete analogy with the non-elliptic case. We then analyze
the symbol alphabet of elliptic polylogarithms evaluated at rational points,
and we observe that it is given by Eisenstein series for a certain congruence
subgroup. We apply our formalism to hypergeometric functions that can be
expressed in terms of elliptic polylogarithms and show that they can equally be
written in terms of iterated integrals of Eisenstein series. Finally, we
present the symbol of the equal-mass sunrise integral in two space-time
dimensions. The symbol alphabet involves Eisenstein series of level six and
weight three, and we can easily integrate the symbol in terms of iterated
integrals of Eisenstein series.
|
[
{
"created": "Tue, 27 Mar 2018 18:05:43 GMT",
"version": "v1"
}
] |
2018-08-29
|
[
[
"Broedel",
"Johannes",
""
],
[
"Duhr",
"Claude",
""
],
[
"Dulat",
"Falko",
""
],
[
"Penante",
"Brenda",
""
],
[
"Tancredi",
"Lorenzo",
""
]
] |
We present a generalization of the symbol calculus from ordinary multiple polylogarithms to their elliptic counterparts. Our formalism is based on a special case of a coaction on large classes of periods that is applied in particular to elliptic polylogarithms and iterated integrals of modular forms. We illustrate how to use our formalism to derive relations among elliptic polylogarithms, in complete analogy with the non-elliptic case. We then analyze the symbol alphabet of elliptic polylogarithms evaluated at rational points, and we observe that it is given by Eisenstein series for a certain congruence subgroup. We apply our formalism to hypergeometric functions that can be expressed in terms of elliptic polylogarithms and show that they can equally be written in terms of iterated integrals of Eisenstein series. Finally, we present the symbol of the equal-mass sunrise integral in two space-time dimensions. The symbol alphabet involves Eisenstein series of level six and weight three, and we can easily integrate the symbol in terms of iterated integrals of Eisenstein series.
|
1107.0876
|
Shou-Huang Dai
|
Cecilia Albertsson, Shou-Huang Dai, Pei-Wen Kao, Feng-Li Lin
|
Double Field Theory for Double D-branes
|
Latex, 1+33 pages. v2 with minor corrections, a new reference added.
v3 a typo corrected
|
JHEP 1109:025,2011
|
10.1007/JHEP09(2011)025
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider Hull's doubled formalism for open strings on D-branes in flat
space and construct the corresponding effective double field theory. We show
that the worldsheet boundary conditions of the doubled formalism describe in a
unified way a T-dual pair of D-branes, which we call double D-branes. We
evaluate the one-loop beta function for the boundary gauge coupling and then
obtain the effective field theory for the double D-branes. The effective field
theory is described by a DBI action of double fields. The T-duality covariant
form of this DBI action is thus a kind of "master" action, which describes all
the double D-brane configurations related by T-duality transformations. We
discuss a number of aspects of this effective theory.
|
[
{
"created": "Tue, 5 Jul 2011 14:15:01 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Aug 2011 08:46:04 GMT",
"version": "v2"
},
{
"created": "Wed, 7 Dec 2011 04:44:59 GMT",
"version": "v3"
}
] |
2011-12-08
|
[
[
"Albertsson",
"Cecilia",
""
],
[
"Dai",
"Shou-Huang",
""
],
[
"Kao",
"Pei-Wen",
""
],
[
"Lin",
"Feng-Li",
""
]
] |
We consider Hull's doubled formalism for open strings on D-branes in flat space and construct the corresponding effective double field theory. We show that the worldsheet boundary conditions of the doubled formalism describe in a unified way a T-dual pair of D-branes, which we call double D-branes. We evaluate the one-loop beta function for the boundary gauge coupling and then obtain the effective field theory for the double D-branes. The effective field theory is described by a DBI action of double fields. The T-duality covariant form of this DBI action is thus a kind of "master" action, which describes all the double D-brane configurations related by T-duality transformations. We discuss a number of aspects of this effective theory.
|
2202.05261
|
Connor Behan
|
Connor Behan
|
Holographic S-fold theories at one loop
|
40+13 pages, 7 tables, PDF LaTeX, v2: New subsection, v3: Added
references, v4: More discussion, v5: Corrections
|
SciPost Phys. 12, 149 (2022)
|
10.21468/SciPostPhys.12.5.149
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
A common feature of tree-level holography is that a correlator in one theory
can serve as a generating function for correlators in another theory with less
continuous symmetry. This is the case for a family of 4d CFTs with eight
supercharges which have protected operators dual to gluons in the bulk. The
most recent additions to this family were defined using S-folds which combine a
spatial identification with an action of the S-duality group in type IIB string
theory. Differences between these CFTs which have a dynamical origin first
become manifest at one loop. To explore this phenomenon at the level of
anomalous dimensions, we use the AdS unitarity method to bootstrap a one-loop
double discontinuity. Compared to previous studies, the subsequent analysis is
performed without any assumption about which special functions are allowed.
Instead, the Casimir singular and Casimir regular terms are extracted
iteratively in order to move from one Regge trajectory to the next. Our results
show that anomalous dimensions in the presence of an S-fold are no longer
rational functions of the spin.
|
[
{
"created": "Thu, 10 Feb 2022 18:59:53 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Mar 2022 01:36:15 GMT",
"version": "v2"
},
{
"created": "Mon, 21 Mar 2022 00:30:34 GMT",
"version": "v3"
},
{
"created": "Mon, 11 Apr 2022 14:06:39 GMT",
"version": "v4"
},
{
"created": "Tue, 2 May 2023 17:28:59 GMT",
"version": "v5"
}
] |
2023-05-03
|
[
[
"Behan",
"Connor",
""
]
] |
A common feature of tree-level holography is that a correlator in one theory can serve as a generating function for correlators in another theory with less continuous symmetry. This is the case for a family of 4d CFTs with eight supercharges which have protected operators dual to gluons in the bulk. The most recent additions to this family were defined using S-folds which combine a spatial identification with an action of the S-duality group in type IIB string theory. Differences between these CFTs which have a dynamical origin first become manifest at one loop. To explore this phenomenon at the level of anomalous dimensions, we use the AdS unitarity method to bootstrap a one-loop double discontinuity. Compared to previous studies, the subsequent analysis is performed without any assumption about which special functions are allowed. Instead, the Casimir singular and Casimir regular terms are extracted iteratively in order to move from one Regge trajectory to the next. Our results show that anomalous dimensions in the presence of an S-fold are no longer rational functions of the spin.
|
1109.6373
|
Roman Nevzorov
|
P. Athron, J. P. Hall, S. F. King, S. Moretti, D. J. Miller, R.
Nevzorov, S. Pakvasa, M. Sher
|
Collider phenomenology of the E6SSM
|
Parallel talk presented at 2011 Meeting of the Division of Particles
and Fields of the American Physical Society (DPF 2011), Providence, Rhode
Island, USA, 9-13 August 2011, 8 pages
| null | null |
SHEP-11-27, UH511-1179-2011
|
hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider collider signatures of the exceptional supersymmetric (SUSY)
standard model (E6SSM). This E6 inspired SUSY model is based on the SM gauge
group together with an extra U(1) gauge symmetry under which right--handed
neutrinos have zero charge. To ensure anomaly cancellation and gauge coupling
unification the low energy matter content of the E6SSM involve extra exotic
matter beyond the MSSM. We discuss the collider signatures associated with the
production of new particles predicted by the E6SSM and consider the
implications of this model for dark matter and Higgs phenomenology. Since
exotic quarks in the E6SSM can be either diquarks or leptoquarks they may
provide spectacular new physics signals at the LHC.
|
[
{
"created": "Thu, 29 Sep 2011 00:44:15 GMT",
"version": "v1"
}
] |
2011-09-30
|
[
[
"Athron",
"P.",
""
],
[
"Hall",
"J. P.",
""
],
[
"King",
"S. F.",
""
],
[
"Moretti",
"S.",
""
],
[
"Miller",
"D. J.",
""
],
[
"Nevzorov",
"R.",
""
],
[
"Pakvasa",
"S.",
""
],
[
"Sher",
"M.",
""
]
] |
We consider collider signatures of the exceptional supersymmetric (SUSY) standard model (E6SSM). This E6 inspired SUSY model is based on the SM gauge group together with an extra U(1) gauge symmetry under which right--handed neutrinos have zero charge. To ensure anomaly cancellation and gauge coupling unification the low energy matter content of the E6SSM involve extra exotic matter beyond the MSSM. We discuss the collider signatures associated with the production of new particles predicted by the E6SSM and consider the implications of this model for dark matter and Higgs phenomenology. Since exotic quarks in the E6SSM can be either diquarks or leptoquarks they may provide spectacular new physics signals at the LHC.
|
hep-ph/9607210
| null |
A.L.Ayala (IF UFRGS), M.B.Gay Ducati (IF UFRGS), E.M.Levin (ANL/PNPI)
|
Froissart boundary for deep inelastic structure functions
|
10 pages,7 figures
|
Phys.Lett.B388:188-196,1996
|
10.1016/0370-2693(96)01149-5
|
ANL-HEP-PR-96-52
|
hep-ph
| null |
In this letter we derive the Froissart boundary in QCD for the deep inelastic
structure function in low $x$ kinematic region. We show that the comparison of
the Froissart boundary with the new HERA experimental data gives rise to a
challenge for QCD to explain the matching between the deep inelastic scattering
and real photoproduction process.
|
[
{
"created": "Mon, 1 Jul 1996 19:52:32 GMT",
"version": "v1"
}
] |
2014-11-17
|
[
[
"Ayala",
"A. L.",
"",
"IF UFRGS"
],
[
"Ducati",
"M. B. Gay",
"",
"IF UFRGS"
],
[
"Levin",
"E. M.",
"",
"ANL/PNPI"
]
] |
In this letter we derive the Froissart boundary in QCD for the deep inelastic structure function in low $x$ kinematic region. We show that the comparison of the Froissart boundary with the new HERA experimental data gives rise to a challenge for QCD to explain the matching between the deep inelastic scattering and real photoproduction process.
|
hep-th/0410294
|
Oscar J. C. Dias
|
Oscar J. C. Dias
|
Black Hole Solutions and Pair Creation of Black Holes in Three, Four and
Higher Dimensional Spacetimes
|
PhD Thesis. December 2003. Supervisor: Jose' P. S. Lemos. Jury: Luis
Bento, Stanley Deser, Jorge Dias de Deus, Alfredo B. Henriques, Jose' P. S.
Lemos and Jorge Romao. Institution: CENTRA-Multidisciplinary Center of
Astrophysics (Research Group), Instituto Superior Tecnico (Faculty),
Universidade Tecnica de Lisboa (University), Portugal
| null | null | null |
hep-th
| null |
Black holes, first found as solutions of Einstein's General Relativity, are
important in astrophysics, since they result from the gravitational collapse of
a massive star or a cluster of stars, and in physics since they reveal
properties of the fundamental physics, such as thermodynamic and quantum
properties of gravitation.
In order to better understand the black hole physics we need exact solutions
that describe one or more black holes. In this thesis we study exact solutions
in three, four and higher dimensional spacetimes. The study in 3-dimensions is
important due to the simplification of the problem, while the discussion in
higher dimensions is essential due to the fact that many theories indicate that
extra dimensions exist in our universe. In this thesis, in any of the
dimensions mentioned above, we study exact solutions with a single black hole
and exact solutions that describe a pair of uniformly accelerated black holes
(C-metric), with the acceleration source being well identified. This later
solutions are then used to study in detail the quantum process of black hole
pair creation in an external field. We also compute the gravitational radiation
released during this pair creation process.
KEYWORDS: Exact black hole solutions; Pair of accelerated black holes,
C-metric, Ernst solution; Pair creation of black holes; Gravitational
radiation; D-dimensional spacetimes; Cosmological constant backgrounds.
|
[
{
"created": "Fri, 29 Oct 2004 16:41:36 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Dias",
"Oscar J. C.",
""
]
] |
Black holes, first found as solutions of Einstein's General Relativity, are important in astrophysics, since they result from the gravitational collapse of a massive star or a cluster of stars, and in physics since they reveal properties of the fundamental physics, such as thermodynamic and quantum properties of gravitation. In order to better understand the black hole physics we need exact solutions that describe one or more black holes. In this thesis we study exact solutions in three, four and higher dimensional spacetimes. The study in 3-dimensions is important due to the simplification of the problem, while the discussion in higher dimensions is essential due to the fact that many theories indicate that extra dimensions exist in our universe. In this thesis, in any of the dimensions mentioned above, we study exact solutions with a single black hole and exact solutions that describe a pair of uniformly accelerated black holes (C-metric), with the acceleration source being well identified. This later solutions are then used to study in detail the quantum process of black hole pair creation in an external field. We also compute the gravitational radiation released during this pair creation process. KEYWORDS: Exact black hole solutions; Pair of accelerated black holes, C-metric, Ernst solution; Pair creation of black holes; Gravitational radiation; D-dimensional spacetimes; Cosmological constant backgrounds.
|
1803.08340
|
Mohammad Reza Setare
|
M. R. Setare and H. Adami
|
First Law of Inner Mechanics of Black Holes in Generalized Minimal
Massive Gravity
| null | null |
10.1140/epjc/s10052-018-6154-9
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we examine the validity of the first law of inner mechanics of
black holes in Generalized Minimal Massive Gravity. We consider BTZ and
spacelike warped black holes and show that the first law of inner mechanics is
valid for given black holes in Generalized Minimal Massive Gravity. As we
expect, due to the presence of the Lorentz Chern-Simons term in Lagrangian of
considered model, the product of the entropies of the inner and outer horizons
depends on the mass as it happens in Topologically Massive Gravity.
|
[
{
"created": "Fri, 2 Mar 2018 08:22:07 GMT",
"version": "v1"
}
] |
2018-09-26
|
[
[
"Setare",
"M. R.",
""
],
[
"Adami",
"H.",
""
]
] |
In this paper, we examine the validity of the first law of inner mechanics of black holes in Generalized Minimal Massive Gravity. We consider BTZ and spacelike warped black holes and show that the first law of inner mechanics is valid for given black holes in Generalized Minimal Massive Gravity. As we expect, due to the presence of the Lorentz Chern-Simons term in Lagrangian of considered model, the product of the entropies of the inner and outer horizons depends on the mass as it happens in Topologically Massive Gravity.
|
2101.11619
|
Eric R. Sharpe
|
Daniel Robbins, Eric Sharpe, Thomas Vandermeulen
|
A generalization of decomposition in orbifolds
|
71 pages, LaTeX; v2: reference added; v3: typos fixed
|
JHEP 2021 (2021) 134
|
10.1007/JHEP10(2021)134
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper describes a generalization of decomposition in orbifolds. In
general terms, decomposition states that two-dimensional orbifolds and gauge
theories whose gauge groups have trivially-acting subgroups decompose into
disjoint unions of theories. However, decomposition can be, at least naively,
broken in orbifolds if the orbifold has discrete torsion in the
trivially-acting subgroup. (Formally, this breaks finite global one-form
symmetries.) Nevertheless, even in such cases, one still sees rudiments of
decomposition. In this paper, we generalize decomposition in orbifolds to
include such examples of discrete torsion, which we check in numerous examples.
Our analysis includes as special cases (and in one sense generalizes) quantum
symmetries of abelian orbifolds.
|
[
{
"created": "Wed, 27 Jan 2021 19:00:00 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Apr 2021 13:21:24 GMT",
"version": "v2"
},
{
"created": "Tue, 26 Oct 2021 21:21:16 GMT",
"version": "v3"
}
] |
2021-10-28
|
[
[
"Robbins",
"Daniel",
""
],
[
"Sharpe",
"Eric",
""
],
[
"Vandermeulen",
"Thomas",
""
]
] |
This paper describes a generalization of decomposition in orbifolds. In general terms, decomposition states that two-dimensional orbifolds and gauge theories whose gauge groups have trivially-acting subgroups decompose into disjoint unions of theories. However, decomposition can be, at least naively, broken in orbifolds if the orbifold has discrete torsion in the trivially-acting subgroup. (Formally, this breaks finite global one-form symmetries.) Nevertheless, even in such cases, one still sees rudiments of decomposition. In this paper, we generalize decomposition in orbifolds to include such examples of discrete torsion, which we check in numerous examples. Our analysis includes as special cases (and in one sense generalizes) quantum symmetries of abelian orbifolds.
|
0812.2996
|
Sun ChengYi
|
Cheng-Yi Sun
|
Dark Energy Accretion onto a Black Hole in an Expanding Universe
|
7 pages, no figures, errors is corrected
|
Commun. Theor. Phys. 52: 441-444, 2009
|
10.1088/0253-6102/52/3/12
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
By using the solution describing a black hole embedded in the FLRW universe,
we obtain the evolving equation of the black hole mass expressed in terms of
the cosmological parameters. The evolving equation indicates that in the
phantom dark energy universe the black hole mass becomes zero before the Big
Rip is reached.
|
[
{
"created": "Tue, 16 Dec 2008 08:15:43 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Feb 2009 07:40:47 GMT",
"version": "v2"
},
{
"created": "Sat, 14 Mar 2009 07:13:24 GMT",
"version": "v3"
}
] |
2014-11-18
|
[
[
"Sun",
"Cheng-Yi",
""
]
] |
By using the solution describing a black hole embedded in the FLRW universe, we obtain the evolving equation of the black hole mass expressed in terms of the cosmological parameters. The evolving equation indicates that in the phantom dark energy universe the black hole mass becomes zero before the Big Rip is reached.
|
1709.06090
|
Kevin Kelly
|
Andr\'e de Gouv\^ea, Kevin J. Kelly
|
Neutrino vs. Antineutrino Oscillation Parameters at DUNE and
Hyper-Kamiokande
|
14 pages, 6 figures
|
Phys. Rev. D 96, 095018 (2017)
|
10.1103/PhysRevD.96.095018
|
NUHEP-TH/17-06
|
hep-ph hep-ex
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Testing, in a non-trivial, model-independent way, the hypothesis that the
three-massive-neutrinos paradigm properly describes nature is among the main
goals of the current and the next generation of neutrino oscillation
experiments. In the coming decade, the DUNE and Hyper-Kamiokande experiments
will be able to study the oscillation of both neutrinos and antineutrinos with
unprecedented precision. We explore the ability of these experiments, and
combinations of them, to determine whether the parameters that govern these
oscillations are the same for neutrinos and antineutrinos, as prescribed by the
CPT-theorem. We find that both DUNE and Hyper-Kamiokande will be sensitive to
unexplored levels of leptonic CPT-violation. Assuming the parameters for
neutrino and antineutrinos are unrelated, we discuss the ability of these
experiments to determine the neutrino and antineutrino mass-hierarchies,
atmospheric-mixing octants, and CP-odd phases, three key milestones of the
experimental neutrino physics program. Additionally, if the CPT-theorem is
violated in nature in a way that is consistent with all present neutrino and
antineutrino oscillation data, we find that DUNE and Hyper-Kamiokande have the
potential to ultimately establish CPT-invariance violation.
|
[
{
"created": "Mon, 18 Sep 2017 18:00:01 GMT",
"version": "v1"
}
] |
2017-11-22
|
[
[
"de Gouvêa",
"André",
""
],
[
"Kelly",
"Kevin J.",
""
]
] |
Testing, in a non-trivial, model-independent way, the hypothesis that the three-massive-neutrinos paradigm properly describes nature is among the main goals of the current and the next generation of neutrino oscillation experiments. In the coming decade, the DUNE and Hyper-Kamiokande experiments will be able to study the oscillation of both neutrinos and antineutrinos with unprecedented precision. We explore the ability of these experiments, and combinations of them, to determine whether the parameters that govern these oscillations are the same for neutrinos and antineutrinos, as prescribed by the CPT-theorem. We find that both DUNE and Hyper-Kamiokande will be sensitive to unexplored levels of leptonic CPT-violation. Assuming the parameters for neutrino and antineutrinos are unrelated, we discuss the ability of these experiments to determine the neutrino and antineutrino mass-hierarchies, atmospheric-mixing octants, and CP-odd phases, three key milestones of the experimental neutrino physics program. Additionally, if the CPT-theorem is violated in nature in a way that is consistent with all present neutrino and antineutrino oscillation data, we find that DUNE and Hyper-Kamiokande have the potential to ultimately establish CPT-invariance violation.
|
hep-th/0001207
|
Giovanni Amelino-Camelia
|
Giovanni Amelino-Camelia
|
On a possible quantum limit for the stabilization of moduli in
brane-world scenarios
|
5 pages, LaTex
|
Phys.Lett. B481 (2000) 365-368
|
10.1016/S0370-2693(00)00447-0
|
CERN-TH/2000-035
|
hep-th
| null |
I consider the implications for brane-world scenarios of the rather robust
quantum-gravity expectation that there should be a quantum minimum limit on the
uncertainty of all physical length scales. In order to illustrate the possible
significance of this issue, I observe that, according to a plausible estimate,
the quantum limit on the length scales that characterize the bulk geometry
could affect severely the phenomenology of a recently-proposed brane-world
scenario.
|
[
{
"created": "Sat, 29 Jan 2000 18:42:02 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Amelino-Camelia",
"Giovanni",
""
]
] |
I consider the implications for brane-world scenarios of the rather robust quantum-gravity expectation that there should be a quantum minimum limit on the uncertainty of all physical length scales. In order to illustrate the possible significance of this issue, I observe that, according to a plausible estimate, the quantum limit on the length scales that characterize the bulk geometry could affect severely the phenomenology of a recently-proposed brane-world scenario.
|
hep-th/0311067
|
Dan Solomon
|
Dan Solomon
|
A problem with the Schwinger term in Dirac field theory
|
21 pages
| null | null | null |
hep-th quant-ph
| null |
In order for Dirac theory to be gauge invariant it can be shown that the
Schwinger term must be zero. However, it can also be shown that for the vacuum
state to be the lowest energy state the Schwinger term must be nonzero.
Therefore there is an inconsistency in Dirac theory involving the evaluation of
the Schwinger term. This inconsistency is discussed along with a possible way
to resolve it.
|
[
{
"created": "Fri, 7 Nov 2003 18:21:54 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Solomon",
"Dan",
""
]
] |
In order for Dirac theory to be gauge invariant it can be shown that the Schwinger term must be zero. However, it can also be shown that for the vacuum state to be the lowest energy state the Schwinger term must be nonzero. Therefore there is an inconsistency in Dirac theory involving the evaluation of the Schwinger term. This inconsistency is discussed along with a possible way to resolve it.
|
1211.2199
|
Diego Trancanelli
|
Leonardo Patino, Diego Trancanelli
|
Thermal photon production in a strongly coupled anisotropic plasma
|
27 pages, 13 figures; v2: minor changes, added references
|
JHEP 1302:154,2013
|
10.1007/JHEP02(2013)154
|
MAD-TH-12-07
|
hep-th hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Photons produced in heavy ion collisions escape virtually unperturbed from
the surrounding medium, thus representing an excellent probe of the conditions
at the emission point. Using the gauge/gravity duality, we calculate the rate
of photon production in an anisotropic, strongly coupled N=4 plasma with Nf<<Nc
quark flavors. We consider arbitrary orientations of the photon momentum with
respect to the anisotropic direction, as well as arbitrary values of the
anisotropy. We present results for the correlation functions of two
electromagnetic currents and for the electric conductivity. These quantities
can be larger or smaller than the isotropic ones, depending on the direction of
propagation and polarization of the photons. The total production rate is
however always larger than the isotropic one, independently of the frequency,
direction of propagation, and value of the anisotropy.
|
[
{
"created": "Fri, 9 Nov 2012 17:56:35 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Mar 2013 01:29:37 GMT",
"version": "v2"
}
] |
2013-03-04
|
[
[
"Patino",
"Leonardo",
""
],
[
"Trancanelli",
"Diego",
""
]
] |
Photons produced in heavy ion collisions escape virtually unperturbed from the surrounding medium, thus representing an excellent probe of the conditions at the emission point. Using the gauge/gravity duality, we calculate the rate of photon production in an anisotropic, strongly coupled N=4 plasma with Nf<<Nc quark flavors. We consider arbitrary orientations of the photon momentum with respect to the anisotropic direction, as well as arbitrary values of the anisotropy. We present results for the correlation functions of two electromagnetic currents and for the electric conductivity. These quantities can be larger or smaller than the isotropic ones, depending on the direction of propagation and polarization of the photons. The total production rate is however always larger than the isotropic one, independently of the frequency, direction of propagation, and value of the anisotropy.
|
1010.3626
|
HoSeong La
|
HoSeong La
|
Davies Critical Point and Tunneling
|
1+21 pages, 6 figures, minor editorial changes, a version to appear
in IJMPD
|
Int.J.Mod.Phys.D21:1250032,2012
|
10.1142/S0218271812500320
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
From the point of view of tunneling, the physical meaning of the Davies
critical point of a second order phase transition in the black hole
thermodynamics is clarified. At the critical point, the nonthermal contribution
vanishes so that the black hole radiation is entirely thermal. It separates two
phases: one with radiation enhanced by the nonthermal contribution, the other
suppressed by the nonthermal contribution. We show this in both charged and
rotating black holes. The phase transition is also analyzed in the cases in
which emissions of charges and angular momenta are incorporated.
|
[
{
"created": "Mon, 18 Oct 2010 15:21:00 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Feb 2012 16:51:57 GMT",
"version": "v2"
}
] |
2012-03-27
|
[
[
"La",
"HoSeong",
""
]
] |
From the point of view of tunneling, the physical meaning of the Davies critical point of a second order phase transition in the black hole thermodynamics is clarified. At the critical point, the nonthermal contribution vanishes so that the black hole radiation is entirely thermal. It separates two phases: one with radiation enhanced by the nonthermal contribution, the other suppressed by the nonthermal contribution. We show this in both charged and rotating black holes. The phase transition is also analyzed in the cases in which emissions of charges and angular momenta are incorporated.
|
2101.11029
|
Michael Walter
|
Xi Dong and Xiao-Liang Qi and Michael Walter
|
Holographic entanglement negativity and replica symmetry breaking
|
42 pages, 6 figures
|
J. High Energ. Phys. 06 (2021) 24
|
10.1007/JHEP06(2021)024
| null |
hep-th math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Since the work of Ryu and Takayanagi, deep connections between quantum
entanglement and spacetime geometry have been revealed. The negative
eigenvalues of the partial transpose of a bipartite density operator is a
useful diagnostic of entanglement. In this paper, we discuss the properties of
the associated entanglement negativity and its R\'enyi generalizations in
holographic duality. We first review the definition of the R\'enyi
negativities, which contain the familiar logarithmic negativity as a special
case. We then study these quantities in the random tensor network model and
rigorously derive their large bond dimension asymptotics. Finally, we study
entanglement negativity in holographic theories with a gravity dual, where we
find that R\'enyi negativities are often dominated by bulk solutions that break
the replica symmetry. From these replica symmetry breaking solutions, we derive
general expressions for R\'enyi negativities and their special limits including
the logarithmic negativity. In fixed-area states, these general expressions
simplify dramatically and agree precisely with our results in the random tensor
network model. This provides a concrete setting for further studying the
implications of replica symmetry breaking in holography.
|
[
{
"created": "Tue, 26 Jan 2021 19:00:45 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Jun 2021 07:54:03 GMT",
"version": "v2"
}
] |
2021-06-08
|
[
[
"Dong",
"Xi",
""
],
[
"Qi",
"Xiao-Liang",
""
],
[
"Walter",
"Michael",
""
]
] |
Since the work of Ryu and Takayanagi, deep connections between quantum entanglement and spacetime geometry have been revealed. The negative eigenvalues of the partial transpose of a bipartite density operator is a useful diagnostic of entanglement. In this paper, we discuss the properties of the associated entanglement negativity and its R\'enyi generalizations in holographic duality. We first review the definition of the R\'enyi negativities, which contain the familiar logarithmic negativity as a special case. We then study these quantities in the random tensor network model and rigorously derive their large bond dimension asymptotics. Finally, we study entanglement negativity in holographic theories with a gravity dual, where we find that R\'enyi negativities are often dominated by bulk solutions that break the replica symmetry. From these replica symmetry breaking solutions, we derive general expressions for R\'enyi negativities and their special limits including the logarithmic negativity. In fixed-area states, these general expressions simplify dramatically and agree precisely with our results in the random tensor network model. This provides a concrete setting for further studying the implications of replica symmetry breaking in holography.
|
hep-th/0310165
|
Thomas Heinzl
|
Thomas Heinzl (FSU Jena)
|
Light-cone zero modes revisited
|
6 pages, 5 figures, Talk given at Light-Cone Workshop: Hadrons and
Beyond (LC03), Durham, England, Aug 5-9, 2003
| null | null | null |
hep-th
| null |
The vacuum problem of light-cone quantum field theory is reanalysed from a
functional-integral point of view.
|
[
{
"created": "Fri, 17 Oct 2003 13:28:56 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Heinzl",
"Thomas",
"",
"FSU Jena"
]
] |
The vacuum problem of light-cone quantum field theory is reanalysed from a functional-integral point of view.
|
0910.1106
|
Erik Lundstrom
|
Joakim Edsjo, Erik Lundstrom, Sara Rydbeck, Jorgen Sjolin
|
Early search for supersymmetric dark matter models at the LHC without
missing energy
|
28 pages, 12 figures; published version
|
JHEP 1003:054,2010
|
10.1007/JHEP03(2010)054
| null |
hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate early discovery signals for supersymmetry at the Large Hadron
Collider without using information about missing transverse energy. Instead we
use cuts on the number of jets and isolated leptons (electrons and/or muons).
We work with minimal supersymmetric extensions of the standard model, and focus
on phenomenological models that give a relic density of dark matter compatible
with the WMAP measurements. An important model property for early discovery is
the presence of light sleptons, and we find that for an integrated luminosity
of only 200--300 pb$^{-1}$ at a center-of-mass energy of 10 TeV models with
gluino masses up to $\sim 700$ GeV can be tested.
|
[
{
"created": "Wed, 7 Oct 2009 15:22:09 GMT",
"version": "v1"
},
{
"created": "Sat, 13 Mar 2010 05:51:39 GMT",
"version": "v2"
}
] |
2010-03-19
|
[
[
"Edsjo",
"Joakim",
""
],
[
"Lundstrom",
"Erik",
""
],
[
"Rydbeck",
"Sara",
""
],
[
"Sjolin",
"Jorgen",
""
]
] |
We investigate early discovery signals for supersymmetry at the Large Hadron Collider without using information about missing transverse energy. Instead we use cuts on the number of jets and isolated leptons (electrons and/or muons). We work with minimal supersymmetric extensions of the standard model, and focus on phenomenological models that give a relic density of dark matter compatible with the WMAP measurements. An important model property for early discovery is the presence of light sleptons, and we find that for an integrated luminosity of only 200--300 pb$^{-1}$ at a center-of-mass energy of 10 TeV models with gluino masses up to $\sim 700$ GeV can be tested.
|
hep-th/0312087
|
Bin Wang
|
Da-Ping Du, Bin Wang, Elcio Abdalla and Ru-Keng Su
|
Scalar cosmological perturbation in an inflationary brane world driven
by the bulk inflaton
|
17pages, Latex format
|
Int.J.Mod.Phys. A19 (2004) 4085-4100
|
10.1142/S0217751X04019494
| null |
hep-th
| null |
We investigate scalar perturbations from inflation in a bulk inflaton
braneworld model. Using the generalized longitudinal gauge, we derive and solve
the full set of scalar perturbation equations. Our exact results support the
recent argument that for the de Sitter brane the square of the radion mass is
not positive, showing that unlike the flat brane case, the de Sitter brane is
not stable.
|
[
{
"created": "Tue, 9 Dec 2003 14:11:04 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Du",
"Da-Ping",
""
],
[
"Wang",
"Bin",
""
],
[
"Abdalla",
"Elcio",
""
],
[
"Su",
"Ru-Keng",
""
]
] |
We investigate scalar perturbations from inflation in a bulk inflaton braneworld model. Using the generalized longitudinal gauge, we derive and solve the full set of scalar perturbation equations. Our exact results support the recent argument that for the de Sitter brane the square of the radion mass is not positive, showing that unlike the flat brane case, the de Sitter brane is not stable.
|
hep-th/9210115
| null |
Albert Schwarz
|
Semiclassical approximation in Batalin-Vilkovisky formalism
|
27 pages
|
Commun.Math.Phys.158:373-396,1993
|
10.1007/BF02108080
| null |
hep-th math.DG
| null |
The geometry of supermanifolds provided with $Q$-structure (i.e. with odd
vector field $Q$ satisfying $\{ Q,Q\} =0$), $P$-structure (odd symplectic
structure ) and $S$-structure (volume element) or with various combinations of
these structures is studied. The results are applied to the analysis of
Batalin-Vilkovisky approach to the quantization of gauge theories. In
particular the semiclassical approximation in this approach is expressed in
terms of Reidemeister torsion.
|
[
{
"created": "Wed, 21 Oct 1992 17:23:18 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Oct 1992 17:47:01 GMT",
"version": "v2"
}
] |
2010-11-01
|
[
[
"Schwarz",
"Albert",
""
]
] |
The geometry of supermanifolds provided with $Q$-structure (i.e. with odd vector field $Q$ satisfying $\{ Q,Q\} =0$), $P$-structure (odd symplectic structure ) and $S$-structure (volume element) or with various combinations of these structures is studied. The results are applied to the analysis of Batalin-Vilkovisky approach to the quantization of gauge theories. In particular the semiclassical approximation in this approach is expressed in terms of Reidemeister torsion.
|
0710.1726
|
Burkhard Kleihaus
|
Burkhard Kleihaus and Jutta Kunz
|
Interior of Nonuniform Black Strings
|
4 pages, 5 figues
|
Phys.Lett.B664:210-213,2008
|
10.1016/j.physletb.2008.05.025
| null |
hep-th gr-qc
| null |
We consider nonuniform black strings inside their event horizon. We present
numerical evidence, that the singularity touches the horizon as the horizon
topology changing transition is reached.
|
[
{
"created": "Tue, 9 Oct 2007 10:57:12 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Kleihaus",
"Burkhard",
""
],
[
"Kunz",
"Jutta",
""
]
] |
We consider nonuniform black strings inside their event horizon. We present numerical evidence, that the singularity touches the horizon as the horizon topology changing transition is reached.
|
hep-ph/0005259
|
Carlos Penya Garay
|
O. G. Miranda, C. Pe\~a-Garay, T. I. Rashba, V. B. Semikoz and J. W.
F. Valle
|
The Simplest Resonant Spin--Flavour Solution to the Solar Neutrino
Problem
|
26 pages with 6 postscript figures included. Improved presentation
and misprints corrected. Final version to appear in Nucl. Phys. B
|
Nucl.Phys.B595:360-380,2001
|
10.1016/S0550-3213(00)00546-0
|
IFIC/00-26, FTUV/000525
|
hep-ph astro-ph hep-ex
| null |
We re-analyse the resonant spin-flavour (RSF) solutions to the solar neutrino
problem in the framework of analytic solutions to the solar
magneto-hydrodynamics (MHD) equations. By substantially eliminating the
arbitrariness associated to the magnetic field profile due to both mathematical
consistency and physical requirements we propose the simplest scheme (MHD-RSF,
for short) for solar neutrino conversion using realistic static MHD solutions.
Using such effective two-parameter scheme we perform the first global fit of
the recent solar neutrino data, including event rates as well as zenith angle
distributions and recoil electron spectra induced by solar neutrino
interactions in Superkamiokande. We compare quantitatively our simplest MHD-RSF
fit with vacuum oscillation (VAC) and MSW-type (SMA, LMA and LOW) solutions to
the solar neutrino problem using a common well-calibrated theoretical
calculation and fit procedure. We find our MHD-RSF fit to be somewhat better
than those obtained for the favored neutrino oscillation solutions, though not
in a statistically significant way. We briefly discuss the prospects to
disentangle our MHD-RSF scenario at future solar neutrino experiments, giving
some predictions for the SNO experiment.
|
[
{
"created": "Thu, 25 May 2000 16:19:12 GMT",
"version": "v1"
},
{
"created": "Sun, 24 Sep 2000 17:56:44 GMT",
"version": "v2"
}
] |
2009-09-17
|
[
[
"Miranda",
"O. G.",
""
],
[
"Peã-Garay",
"C.",
""
],
[
"Rashba",
"T. I.",
""
],
[
"Semikoz",
"V. B.",
""
],
[
"Valle",
"J. W. F.",
""
]
] |
We re-analyse the resonant spin-flavour (RSF) solutions to the solar neutrino problem in the framework of analytic solutions to the solar magneto-hydrodynamics (MHD) equations. By substantially eliminating the arbitrariness associated to the magnetic field profile due to both mathematical consistency and physical requirements we propose the simplest scheme (MHD-RSF, for short) for solar neutrino conversion using realistic static MHD solutions. Using such effective two-parameter scheme we perform the first global fit of the recent solar neutrino data, including event rates as well as zenith angle distributions and recoil electron spectra induced by solar neutrino interactions in Superkamiokande. We compare quantitatively our simplest MHD-RSF fit with vacuum oscillation (VAC) and MSW-type (SMA, LMA and LOW) solutions to the solar neutrino problem using a common well-calibrated theoretical calculation and fit procedure. We find our MHD-RSF fit to be somewhat better than those obtained for the favored neutrino oscillation solutions, though not in a statistically significant way. We briefly discuss the prospects to disentangle our MHD-RSF scenario at future solar neutrino experiments, giving some predictions for the SNO experiment.
|
0712.1417
|
Martin Schumacher
|
Martin Schumacher
|
Properties of the $\pi^0$, $\eta$, $\eta'$, $\sigma$, $f_0(980)$ and
$a_0(980)$ mesons and their relevance for the polarizabilities of the nucleon
| null |
Eur.Phys.J.A34:293-301,2007
|
10.1140/epja/i2007-10506-3
| null |
hep-ph
| null |
The signs and values of the two-photon couplings $F_{M\gamma\gamma}$ of
mesons $(M)$ and their couplings $g_{MNN}$ to the nucleon as entering into the
$t$-channel parts of the difference of the electromagnetic polarizabilities
$(\alpha-\beta)$ and the backward angle spin polarizabilities $\gamma_\pi$ are
determined. The excellent agreement achieved with the experimental
polarizabilities of the proton makes it possible to make reliable predictions
for the neutron. The results obtained are $\alpha_n=13.4\pm 1.0$,
$\beta_n=1.8\mp 1.0$ ($10^{-4}$ fm$^3$), and $\gamma^{(n)}_\pi=57.6\pm 1.8$
($10^{-4}$ fm$^4$). New empirical information on the flavor wave functions of
the $f_0(980)$ and the $a_0(980)$ meson is obtained.
|
[
{
"created": "Mon, 10 Dec 2007 10:00:42 GMT",
"version": "v1"
}
] |
2013-06-26
|
[
[
"Schumacher",
"Martin",
""
]
] |
The signs and values of the two-photon couplings $F_{M\gamma\gamma}$ of mesons $(M)$ and their couplings $g_{MNN}$ to the nucleon as entering into the $t$-channel parts of the difference of the electromagnetic polarizabilities $(\alpha-\beta)$ and the backward angle spin polarizabilities $\gamma_\pi$ are determined. The excellent agreement achieved with the experimental polarizabilities of the proton makes it possible to make reliable predictions for the neutron. The results obtained are $\alpha_n=13.4\pm 1.0$, $\beta_n=1.8\mp 1.0$ ($10^{-4}$ fm$^3$), and $\gamma^{(n)}_\pi=57.6\pm 1.8$ ($10^{-4}$ fm$^4$). New empirical information on the flavor wave functions of the $f_0(980)$ and the $a_0(980)$ meson is obtained.
|
hep-th/0004114
|
Wolfgang Mueck
|
I. Ya. Aref'eva, M. G. Ivanov, W. Mueck, K. S. Viswanathan and I. V.
Volovich
|
Consistent Linearized Gravity in Brane Backgrounds
|
15 pages
|
Nucl.Phys.B590:273-286,2000
|
10.1016/S0550-3213(00)00515-0
| null |
hep-th
| null |
A globally consistent treatment of linearized gravity in the Randall-Sundrum
background with matter on the brane is formulated. Using a novel gauge, in
which the transverse components of the metric are non-vanishing, the brane is
kept straight. We analyze the gauge symmetries and identify the physical
degrees of freedom of gravity. Our results underline the necessity for
non-gravitational confinement of matter to the brane.
|
[
{
"created": "Fri, 14 Apr 2000 23:22:44 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Aref'eva",
"I. Ya.",
""
],
[
"Ivanov",
"M. G.",
""
],
[
"Mueck",
"W.",
""
],
[
"Viswanathan",
"K. S.",
""
],
[
"Volovich",
"I. V.",
""
]
] |
A globally consistent treatment of linearized gravity in the Randall-Sundrum background with matter on the brane is formulated. Using a novel gauge, in which the transverse components of the metric are non-vanishing, the brane is kept straight. We analyze the gauge symmetries and identify the physical degrees of freedom of gravity. Our results underline the necessity for non-gravitational confinement of matter to the brane.
|
2105.00509
|
Ali Zahabi
|
Taro Kimura and Ali Zahabi
|
Unitary matrix models and random partitions: Universality and
multi-criticality
|
49 pages, 1 figure
|
J. High Energ. Phys. 2021, 100 (2021)
|
10.1007/JHEP07(2021)100
| null |
hep-th cond-mat.stat-mech math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
The generating functions for the gauge theory observables are often
represented in terms of the unitary matrix integrals. In this work, the
perturbative and non-perturbative aspects of the generic multi-critical unitary
matrix models are studied by adopting the integrable operator formalism, and
the multi-critical generalization of the Tracy--Widom distribution in the
context of random partitions. We obtain the universal results for the
multi-critical model in the weak and strong coupling phases. The free energy of
the instanton sector in the weak coupling regime, and the genus expansion of
the free energy in the strong coupling regime are explicitly computed and the
universal multi-critical phase structure of the model is explored. Finally, we
apply our results in concrete examples of supersymmetric indices of gauge
theories in the large $N$ limit.
|
[
{
"created": "Sun, 2 May 2021 17:01:02 GMT",
"version": "v1"
},
{
"created": "Sun, 26 Sep 2021 16:59:43 GMT",
"version": "v2"
}
] |
2021-09-28
|
[
[
"Kimura",
"Taro",
""
],
[
"Zahabi",
"Ali",
""
]
] |
The generating functions for the gauge theory observables are often represented in terms of the unitary matrix integrals. In this work, the perturbative and non-perturbative aspects of the generic multi-critical unitary matrix models are studied by adopting the integrable operator formalism, and the multi-critical generalization of the Tracy--Widom distribution in the context of random partitions. We obtain the universal results for the multi-critical model in the weak and strong coupling phases. The free energy of the instanton sector in the weak coupling regime, and the genus expansion of the free energy in the strong coupling regime are explicitly computed and the universal multi-critical phase structure of the model is explored. Finally, we apply our results in concrete examples of supersymmetric indices of gauge theories in the large $N$ limit.
|
hep-th/9207046
|
E. Elizalde
|
E. Elizalde and S.D. Odintsov
|
One-Loop Renormalization in Two-Dimensional Matter-Dilaton Quantum
Gravity and Charged Black Holes
|
UB-ECM-PF 92/,latex file, 22 pages, 4 figures
|
Nucl.Phys.B399:581-600,1993
|
10.1016/0550-3213(93)90510-V
| null |
hep-th
| null |
The quantum properties of two-dimensional matter-dilaton gravity
---which includes a large family of actions for two-dimensional gravity (in
particular, string-inspired models)--- are investigated. The one-loop
divergences in linear covariant gauges are calculated and the structure of the
one-loop renormalization is studied. The explicit forms of the dilaton
potential, dilaton-Maxwell, and dilaton-scalar couplings for which the theory
is one-loop multiplicatively renormalizable are found.
A comparison with the one-loop renormalization structure of four-dimensional
gravity-matter theory is given. Charged multiple-horizon black holes which
appear in the model are also considered.
|
[
{
"created": "Tue, 14 Jul 1992 10:33:47 GMT",
"version": "v1"
}
] |
2009-09-17
|
[
[
"Elizalde",
"E.",
""
],
[
"Odintsov",
"S. D.",
""
]
] |
The quantum properties of two-dimensional matter-dilaton gravity ---which includes a large family of actions for two-dimensional gravity (in particular, string-inspired models)--- are investigated. The one-loop divergences in linear covariant gauges are calculated and the structure of the one-loop renormalization is studied. The explicit forms of the dilaton potential, dilaton-Maxwell, and dilaton-scalar couplings for which the theory is one-loop multiplicatively renormalizable are found. A comparison with the one-loop renormalization structure of four-dimensional gravity-matter theory is given. Charged multiple-horizon black holes which appear in the model are also considered.
|
1609.02223
|
Ion Vasile Vancea
|
Ion V. Vancea
|
Entanglement Entropy in the $\sigma$-Model with the de Sitter Target
Space
|
Discussion considerably enriched. References added. This version is
consistent with the published article
| null |
10.1016/j.nuclphysb.2017.09.017
| null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive the formula of the entanglement entropy between the left and right
oscillating modes of the $\sigma$-model with the de Sitter target space. To
this end, we study the theory in the \emph{cosmological gauge} in which the
non-vanishing components of the metric on the two-dimensional base space are
functions of the expansion parameter of the de Sitter space. The model is
embedded in the causal north pole diamond of the Penrose diagram. We argue that
the cosmological gauge is natural to the $\sigma$-model as it is compatible
with the canonical quantization relations. In this gauge, we obtain a new
general solution to the equations of motion in terms of time-independent
oscillating modes. The constraint structure is adequate for quantization in the
Gupta-Bleuler formalism. We construct the space of states as a one-parameter
family of Hilbert spaces and give the Bargmann-Fock and Jordan-Schwinger
representations of it. Also, we give a simple description of the physical
subspace as an infinite product of $\mathcal{D}^{+}_{\frac{1}{2}}$ in the
positive discreet series irreducible representations of the $SU(1,1)$ group. We
construct the map generated by the Hamiltonian between states at two different
values of time and show how it produces the entanglement of left and right
excitations. Next, we derive the formula of the entanglement entropy of the
reduced density matrix for the ground state acted upon by the Hamiltonian map.
Finally, we determine the asymptotic form of the entanglement entropy of a
single mode bi-oscillator in the limit of large values of time.
|
[
{
"created": "Wed, 7 Sep 2016 23:40:43 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Sep 2016 21:35:35 GMT",
"version": "v2"
},
{
"created": "Thu, 1 Dec 2016 22:15:36 GMT",
"version": "v3"
},
{
"created": "Thu, 5 Oct 2017 00:29:07 GMT",
"version": "v4"
}
] |
2017-10-06
|
[
[
"Vancea",
"Ion V.",
""
]
] |
We derive the formula of the entanglement entropy between the left and right oscillating modes of the $\sigma$-model with the de Sitter target space. To this end, we study the theory in the \emph{cosmological gauge} in which the non-vanishing components of the metric on the two-dimensional base space are functions of the expansion parameter of the de Sitter space. The model is embedded in the causal north pole diamond of the Penrose diagram. We argue that the cosmological gauge is natural to the $\sigma$-model as it is compatible with the canonical quantization relations. In this gauge, we obtain a new general solution to the equations of motion in terms of time-independent oscillating modes. The constraint structure is adequate for quantization in the Gupta-Bleuler formalism. We construct the space of states as a one-parameter family of Hilbert spaces and give the Bargmann-Fock and Jordan-Schwinger representations of it. Also, we give a simple description of the physical subspace as an infinite product of $\mathcal{D}^{+}_{\frac{1}{2}}$ in the positive discreet series irreducible representations of the $SU(1,1)$ group. We construct the map generated by the Hamiltonian between states at two different values of time and show how it produces the entanglement of left and right excitations. Next, we derive the formula of the entanglement entropy of the reduced density matrix for the ground state acted upon by the Hamiltonian map. Finally, we determine the asymptotic form of the entanglement entropy of a single mode bi-oscillator in the limit of large values of time.
|
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