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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9705108
|
Alon Faraggi
|
Alon E. Faraggi and Marco Matone
|
Quantum Mechanics from an Equivalence Principle
|
1+10 pages. Standard Latex. Expanded version, references added, to
appear in Phys. Lett. B
|
Phys.Lett. B450 (1999) 34-40
|
10.1016/S0370-2693(99)00113-6
|
UFIFT-HEP-96-28, DPFD 96/TH/59
|
hep-th gr-qc hep-ph quant-ph
| null |
We postulate that physical states are equivalent under coordinate
transformations. We then implement this equivalence principle first in the case
of one-dimensional stationary systems showing that it leads to the quantum
analogue of the Hamilton-Jacobi equation which in turn implies the Schroedinger
equation. In this context the Planck constant plays the role of covariantizing
parameter. The construction is deeply related to the GL(2,C)-symmetry of the
second-order differential equation associated to the Legendre transformation
which selects, in the case of the quantum analogue of the Hamiltonian
characteristic function, self-dual states which guarantee its existence for any
physical system. The universal nature of the self-dual states implies the
Schroedinger equation in any dimension.
|
[
{
"created": "Thu, 15 May 1997 14:51:23 GMT",
"version": "v1"
},
{
"created": "Sat, 16 Jan 1999 04:35:29 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Faraggi",
"Alon E.",
""
],
[
"Matone",
"Marco",
""
]
] |
We postulate that physical states are equivalent under coordinate transformations. We then implement this equivalence principle first in the case of one-dimensional stationary systems showing that it leads to the quantum analogue of the Hamilton-Jacobi equation which in turn implies the Schroedinger equation. In this context the Planck constant plays the role of covariantizing parameter. The construction is deeply related to the GL(2,C)-symmetry of the second-order differential equation associated to the Legendre transformation which selects, in the case of the quantum analogue of the Hamiltonian characteristic function, self-dual states which guarantee its existence for any physical system. The universal nature of the self-dual states implies the Schroedinger equation in any dimension.
|
2206.01623
|
Shaun Hampton
|
Bin Guo and Shaun D. Hampton
|
Bootstrapping the effect of the twist operator in symmetric orbifold
CFTs
|
33 pages, 2 figures
| null |
10.1007/JHEP02(2023)184
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the 2D symmetric orbifold CFT of two copies of free bosons. The
twist operator can join the two separated copies in the untwisted sector into a
joined copy in the twisted sector. Starting with a state with any number of
quanta in the untwisted sector, the state in the twisted sector obtained by the
action of the twist operator can be computed by using the covering map method.
We develop a new method to compute the effect of a twist operator by using the
Bogoliubov ansatz and conformal symmetry. This may lead to more efficient tools
to compute correlation functions involving twist operators.
|
[
{
"created": "Fri, 3 Jun 2022 15:02:08 GMT",
"version": "v1"
}
] |
2023-03-22
|
[
[
"Guo",
"Bin",
""
],
[
"Hampton",
"Shaun D.",
""
]
] |
We study the 2D symmetric orbifold CFT of two copies of free bosons. The twist operator can join the two separated copies in the untwisted sector into a joined copy in the twisted sector. Starting with a state with any number of quanta in the untwisted sector, the state in the twisted sector obtained by the action of the twist operator can be computed by using the covering map method. We develop a new method to compute the effect of a twist operator by using the Bogoliubov ansatz and conformal symmetry. This may lead to more efficient tools to compute correlation functions involving twist operators.
|
1811.02064
|
Paul Sutcliffe
|
Carlos Naya and Paul Sutcliffe
|
Skyrmions and clustering in light nuclei
|
5 pages, 3 figures. To appear in PRL
|
Phys. Rev. Lett. 121, 232002 (2018)
|
10.1103/PhysRevLett.121.232002
|
DCPT-18/33
|
hep-th nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
One of the outstanding problems in modern nuclear physics is to determine the
properties of nuclei from the fundamental theory of the strong force, quantum
chromodynamics (QCD). Skyrmions offer a novel approach to this problem by
considering nuclei as solitons of a low energy effective field theory obtained
from QCD. Unfortunately, the standard theory of Skyrmions has been plagued by
two significant problems, in that it yields nuclear binding energies that are
an order of magnitude larger than experimental nuclear data, and it predicts
intrinsic shapes for nuclei that fail to match the clustering structure of
light nuclei. Here we show that extending the standard theory of Skyrmions, by
including the next lightest subatomic meson particles traditionally neglected,
dramatically improves both these aspects. We find Skyrmion clustering that now
agrees with the expected structure of light nuclei, with binding energies that
are much closer to nuclear data.
|
[
{
"created": "Mon, 5 Nov 2018 22:28:21 GMT",
"version": "v1"
}
] |
2018-12-12
|
[
[
"Naya",
"Carlos",
""
],
[
"Sutcliffe",
"Paul",
""
]
] |
One of the outstanding problems in modern nuclear physics is to determine the properties of nuclei from the fundamental theory of the strong force, quantum chromodynamics (QCD). Skyrmions offer a novel approach to this problem by considering nuclei as solitons of a low energy effective field theory obtained from QCD. Unfortunately, the standard theory of Skyrmions has been plagued by two significant problems, in that it yields nuclear binding energies that are an order of magnitude larger than experimental nuclear data, and it predicts intrinsic shapes for nuclei that fail to match the clustering structure of light nuclei. Here we show that extending the standard theory of Skyrmions, by including the next lightest subatomic meson particles traditionally neglected, dramatically improves both these aspects. We find Skyrmion clustering that now agrees with the expected structure of light nuclei, with binding energies that are much closer to nuclear data.
|
hep-th/9709104
| null |
S. James Gates, Jr
|
Ectoplasm Has No Topology: The Prelude
|
13 pages, UMDEPP 98-13, Presentation at the International Seminar on
``Supersymmetries and Quantum Symmetries'', Dubna, Russia, July 22 - 26,
1997, LaTeX, 1 figure
| null | null | null |
hep-th
| null |
Preliminary evidence is presented that a long overlooked and critical element
in the fundamental definition of a general theory of integration over curved
Wess-Zumino superspace lies with the imposition of ``the Ethereal Conjecture''
which states the necessity of the superspace to be topologically ``close'' to
its purely bosonic sub-manifold. As a step in proving this, a new theory of
integration of closed super p-forms is proposed.
|
[
{
"created": "Mon, 15 Sep 1997 18:20:00 GMT",
"version": "v1"
}
] |
2012-08-27
|
[
[
"Gates,",
"S. James",
"Jr"
]
] |
Preliminary evidence is presented that a long overlooked and critical element in the fundamental definition of a general theory of integration over curved Wess-Zumino superspace lies with the imposition of ``the Ethereal Conjecture'' which states the necessity of the superspace to be topologically ``close'' to its purely bosonic sub-manifold. As a step in proving this, a new theory of integration of closed super p-forms is proposed.
|
hep-th/9811219
|
Iver H. Brevik
|
I. Brevik
|
Casimir Theory of the Relativistic Piecewise Uniform String
|
14 pages, latex, no figures. Talk given at the conference "Quantum
Field Theory Under the Influence of External Conditions", Leipzig, 14-18
September 1998. Submitted to the conference Proceedings
| null | null | null |
hep-th
| null |
The Casimir energy for the transverse oscillations of a piecewise uniform
closed string is calculated. The string is relativistic in the sense that the
velocity of transverse waves is always equal to c. The great adaptibility of
this string model with respect to various regularization methods is pointed
out. We survey several regularization methods: the cutoff method, the complex
contour integration method, and the zeta-function method. The most powerful
method in the present case is the contour integration method. The Casimir
energy turns out to be negative, and the more so the larger is the number of
pieces in the string. The thermodynamic free energy F is calculated for a
two-piece string in the limit when the tension ratio x = T_I/T_II approaches
zero. For large values of the length ratio s = L_II/L_I, the Hagedorn
temperature becomes proportional to the square root of s.
|
[
{
"created": "Wed, 25 Nov 1998 12:39:43 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Brevik",
"I.",
""
]
] |
The Casimir energy for the transverse oscillations of a piecewise uniform closed string is calculated. The string is relativistic in the sense that the velocity of transverse waves is always equal to c. The great adaptibility of this string model with respect to various regularization methods is pointed out. We survey several regularization methods: the cutoff method, the complex contour integration method, and the zeta-function method. The most powerful method in the present case is the contour integration method. The Casimir energy turns out to be negative, and the more so the larger is the number of pieces in the string. The thermodynamic free energy F is calculated for a two-piece string in the limit when the tension ratio x = T_I/T_II approaches zero. For large values of the length ratio s = L_II/L_I, the Hagedorn temperature becomes proportional to the square root of s.
|
1312.7876
|
Anastasios Taliotis
|
Ioannis Papadimitriou and Anastasios Taliotis
|
Riccati equations for holographic 2-point functions
|
33 pages, 5 figures, 2 appendices. Changes with respect to V1: major
extension of the numerical and analytical analysis. Added lemma 5.1,
appendices A and B and references. Corrected typos
| null |
10.1007/JHEP04(2014)194
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Any second order homogeneous linear ordinary differential equation can be
transformed into a first order non-linear Riccati equation. We argue that the
Riccati form of the linearized fluctuation equations that determine the
holographic 2-point functions simplifies considerably the numerical computation
of such 2-point functions and of the corresponding transport coefficients by
computing directly the response functions, eliminating the arbitrary source
from the start. Moreover, it provides a neat criterion for the infrared
regularity of the fluctuations. In particular, it is shown that the infrared
regularity conditions for scalar and tensor fluctuations coincide, and hence
they are either both regular or both singular. We demonstrate our numerical
recipe based on the Riccati equations by computing the holographic 2-point
functions for the stress tensor and a scalar operator in a number of
asymptotically anti de Sitter backgrounds of bottom up scalar-gravity models.
Analytical results are obtained for the 2-point function of the transverse
traceless part of the stress tensor in two confining geometries, including a
geometry that belongs to the class of IHQCD. We find that in this background
the spin-2 spectrum is linear and, as expected, the position space 2-point
function decays exponentially at large distances at a rate proportional to the
confinement scale.
|
[
{
"created": "Mon, 30 Dec 2013 20:58:36 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Feb 2014 12:23:56 GMT",
"version": "v2"
}
] |
2015-06-18
|
[
[
"Papadimitriou",
"Ioannis",
""
],
[
"Taliotis",
"Anastasios",
""
]
] |
Any second order homogeneous linear ordinary differential equation can be transformed into a first order non-linear Riccati equation. We argue that the Riccati form of the linearized fluctuation equations that determine the holographic 2-point functions simplifies considerably the numerical computation of such 2-point functions and of the corresponding transport coefficients by computing directly the response functions, eliminating the arbitrary source from the start. Moreover, it provides a neat criterion for the infrared regularity of the fluctuations. In particular, it is shown that the infrared regularity conditions for scalar and tensor fluctuations coincide, and hence they are either both regular or both singular. We demonstrate our numerical recipe based on the Riccati equations by computing the holographic 2-point functions for the stress tensor and a scalar operator in a number of asymptotically anti de Sitter backgrounds of bottom up scalar-gravity models. Analytical results are obtained for the 2-point function of the transverse traceless part of the stress tensor in two confining geometries, including a geometry that belongs to the class of IHQCD. We find that in this background the spin-2 spectrum is linear and, as expected, the position space 2-point function decays exponentially at large distances at a rate proportional to the confinement scale.
|
0912.1891
|
Meng-Chwan Tan
|
Meng-Chwan Tan
|
Notes on the "Ramified" Seiberg-Witten Equations and Invariants
|
21 pages. Published version
|
JHEP 1201:067,2012
|
10.1007/JHEP01(2012)067
| null |
hep-th math.DG math.GT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In these notes, we carefully analyze the properties of the "ramified"
Seiberg-Witten equations associated with supersymmetric configurations of the
Seiberg-Witten abelian gauge theory with surface operators on an oriented
closed four-manifold X. We find that in order to have sensible solutions to
these equations, only surface operators with certain parameters and embeddings
in X, are admissible. In addition, the corresponding "ramified" Seiberg-Witten
invariants on X with positive scalar curvature and b^+_2 > 1, vanish, while if
X has b^+_2 = 1, there can be wall-crossings whence the invariants will jump.
In general, for each of the finite number of basic classes that corresponds to
a moduli space of solutions with zero virtual dimension, the perturbed
"ramified" Seiberg-Witten invariants on Kahler manifolds will depend - among
other parameters associated with the surface operator - on the monopole number
"l" and the holonomy parameter "alpha". Nonetheless, the (perturbed) "ramified"
and ordinary invariants are found to coincide, albeit up to a sign, in some
examples.
|
[
{
"created": "Thu, 10 Dec 2009 06:35:36 GMT",
"version": "v1"
},
{
"created": "Sun, 20 Dec 2009 20:21:08 GMT",
"version": "v2"
},
{
"created": "Tue, 30 Mar 2010 14:39:34 GMT",
"version": "v3"
},
{
"created": "Thu, 26 Jan 2012 11:33:29 GMT",
"version": "v4"
}
] |
2012-01-27
|
[
[
"Tan",
"Meng-Chwan",
""
]
] |
In these notes, we carefully analyze the properties of the "ramified" Seiberg-Witten equations associated with supersymmetric configurations of the Seiberg-Witten abelian gauge theory with surface operators on an oriented closed four-manifold X. We find that in order to have sensible solutions to these equations, only surface operators with certain parameters and embeddings in X, are admissible. In addition, the corresponding "ramified" Seiberg-Witten invariants on X with positive scalar curvature and b^+_2 > 1, vanish, while if X has b^+_2 = 1, there can be wall-crossings whence the invariants will jump. In general, for each of the finite number of basic classes that corresponds to a moduli space of solutions with zero virtual dimension, the perturbed "ramified" Seiberg-Witten invariants on Kahler manifolds will depend - among other parameters associated with the surface operator - on the monopole number "l" and the holonomy parameter "alpha". Nonetheless, the (perturbed) "ramified" and ordinary invariants are found to coincide, albeit up to a sign, in some examples.
|
hep-th/9702140
|
Gary McCartor
|
Gary McCartor (SMU)
|
Subtleties in the Light-Cone Representation
|
7 pages, Latex, uses sprocl.sty
| null | null |
SMUHEP/97-02
|
hep-th
| null |
To produce an isomorphism between the light-cone and equal-time
representations some additional formalism beyond that originally proposed for
the light-cone representation may sometimes be required. The additional
formalism usually involves zero modes and is most likely to affect delicate,
high energy aspects of the solution such as condensates. In this talk I will
review some of the information which has been obtained in the past few years on
these issues with particular emphasis on the Schwinger model as an example.
|
[
{
"created": "Tue, 18 Feb 1997 20:28:44 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"McCartor",
"Gary",
"",
"SMU"
]
] |
To produce an isomorphism between the light-cone and equal-time representations some additional formalism beyond that originally proposed for the light-cone representation may sometimes be required. The additional formalism usually involves zero modes and is most likely to affect delicate, high energy aspects of the solution such as condensates. In this talk I will review some of the information which has been obtained in the past few years on these issues with particular emphasis on the Schwinger model as an example.
|
2212.13975
|
Dra\v{z}en Glavan
|
Dra\v{z}en Glavan
|
Photon quantization in cosmological spaces
|
48 pages, corresponds to published version
|
Phys.Rev.D 109 (2024) 8, 085014
|
10.1103/PhysRevD.109.085014
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
Canonical quantization of the photon -- a free massless vector field -- is
considered in cosmological spacetimes in a two-parameter family of linear
gauges that treat all the vector potential components on equal footing. The
goal is setting up a framework for computing photon two-point functions
appropriate for loop computations in realistic inflationary spacetimes. The
quantization is implemented without relying on spacetime symmetries, but rather
it is based on the classical canonical structure. Special attention is paid to
the quantization of the canonical first-class constraint structure that is
implemented as the condition on the physical states. This condition gives rise
to subsidiary conditions that the photon two-point functions must satisfy. Some
of the de Sitter space photon propagators from the literature are found not to
satisfy these subsidiary conditions, bringing into question their consistency.
|
[
{
"created": "Wed, 28 Dec 2022 17:46:42 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Jun 2023 15:44:19 GMT",
"version": "v2"
},
{
"created": "Sat, 20 Apr 2024 00:13:42 GMT",
"version": "v3"
}
] |
2024-07-26
|
[
[
"Glavan",
"Dražen",
""
]
] |
Canonical quantization of the photon -- a free massless vector field -- is considered in cosmological spacetimes in a two-parameter family of linear gauges that treat all the vector potential components on equal footing. The goal is setting up a framework for computing photon two-point functions appropriate for loop computations in realistic inflationary spacetimes. The quantization is implemented without relying on spacetime symmetries, but rather it is based on the classical canonical structure. Special attention is paid to the quantization of the canonical first-class constraint structure that is implemented as the condition on the physical states. This condition gives rise to subsidiary conditions that the photon two-point functions must satisfy. Some of the de Sitter space photon propagators from the literature are found not to satisfy these subsidiary conditions, bringing into question their consistency.
|
1307.0096
|
Deepak Vaid
|
Deepak Vaid
|
Elementary Particles as Gates for Universal Quantum Computation
|
8 pages, 9 figures, submitted to FQXi 2013 essay contest ("It from
Bit, or Bit from It?")
| null | null | null |
hep-th quant-ph
|
http://creativecommons.org/licenses/by-nc-sa/3.0/
|
It is shown that there exists a mapping between the fermions of the Standard
Model (SM) represented as braids in the Bilson-Thompson model, and a set of
gates which can perform Universal Quantum Computation (UQC). This leads us to
conjecture that the "Computational Universe Hypothesis" (CUH) can be given a
concrete implementation in a new physical framework where elementary particles
and the gauge bosons (which intermediate interactions between fermions) are
interpreted as the components of a quantum computational network, with the
particles serving as quantum computational gates and the gauge fields as the
information carrying entities.
|
[
{
"created": "Sat, 29 Jun 2013 12:42:41 GMT",
"version": "v1"
}
] |
2013-07-02
|
[
[
"Vaid",
"Deepak",
""
]
] |
It is shown that there exists a mapping between the fermions of the Standard Model (SM) represented as braids in the Bilson-Thompson model, and a set of gates which can perform Universal Quantum Computation (UQC). This leads us to conjecture that the "Computational Universe Hypothesis" (CUH) can be given a concrete implementation in a new physical framework where elementary particles and the gauge bosons (which intermediate interactions between fermions) are interpreted as the components of a quantum computational network, with the particles serving as quantum computational gates and the gauge fields as the information carrying entities.
|
0802.1576
|
Kumar S. Gupta
|
T. R. Govindarajan, Kumar S. Gupta, E. Harikumar, S. Meljanac and D.
Meljanac
|
Twisted Statistics in kappa-Minkowski Spacetime
|
Latex file, 8 pages
|
Phys.Rev.D77:105010,2008
|
10.1103/PhysRevD.77.105010
|
SINP/TNP/2008/02
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the issue of statistics for identical particles or fields in
kappa-deformed spaces, where the system admits a symmetry group G. We obtain
the twisted flip operator compatible with the action of the symmetry group,
which is relevant for describing particle statistics in presence of the
noncommutativity. It is shown that for a special class of realizations, the
twisted flip operator is independent of the ordering prescription.
|
[
{
"created": "Tue, 12 Feb 2008 07:14:46 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Mar 2008 04:48:42 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Govindarajan",
"T. R.",
""
],
[
"Gupta",
"Kumar S.",
""
],
[
"Harikumar",
"E.",
""
],
[
"Meljanac",
"S.",
""
],
[
"Meljanac",
"D.",
""
]
] |
We consider the issue of statistics for identical particles or fields in kappa-deformed spaces, where the system admits a symmetry group G. We obtain the twisted flip operator compatible with the action of the symmetry group, which is relevant for describing particle statistics in presence of the noncommutativity. It is shown that for a special class of realizations, the twisted flip operator is independent of the ordering prescription.
|
1805.03686
|
Konstantin Stepanyantz
|
A.E.Kazantsev, M.D.Kuzmichev, N.P.Meshcheriakov, S.V.Novgorodtsev,
I.E.Shirokov, M.B.Skoptsov, K.V.Stepanyantz
|
Two-loop renormalization of the Faddeev--Popov ghosts in ${\cal N}=1$
supersymmetric gauge theories regularized by higher derivatives
|
19 pages, 1 figure
| null |
10.1007/JHEP06(2018)020
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
For the general renormalizable ${\cal N}=1$ supersymmetric gauge theory we
investigate renormalization of the Faddeev--Popov ghosts using the higher
covariant derivative regularization. First, we find the two-loop anomalous
dimension defined in terms of the bare coupling constant in the general
$\xi$-gauge. It is demonstrated that for doing this calculation one should take
into account that the quantum gauge superfield is renormalized in a nonlinear
way. Next, we obtain the two-loop anomalous dimension of the Faddeev--Popov
ghosts defined in terms of the renormalized coupling constant and examine its
dependence on the subtraction scheme.
|
[
{
"created": "Wed, 9 May 2018 18:28:15 GMT",
"version": "v1"
}
] |
2018-07-04
|
[
[
"Kazantsev",
"A. E.",
""
],
[
"Kuzmichev",
"M. D.",
""
],
[
"Meshcheriakov",
"N. P.",
""
],
[
"Novgorodtsev",
"S. V.",
""
],
[
"Shirokov",
"I. E.",
""
],
[
"Skoptsov",
"M. B.",
""
],
[
"Stepanyantz",
"K. V.",
""
]
] |
For the general renormalizable ${\cal N}=1$ supersymmetric gauge theory we investigate renormalization of the Faddeev--Popov ghosts using the higher covariant derivative regularization. First, we find the two-loop anomalous dimension defined in terms of the bare coupling constant in the general $\xi$-gauge. It is demonstrated that for doing this calculation one should take into account that the quantum gauge superfield is renormalized in a nonlinear way. Next, we obtain the two-loop anomalous dimension of the Faddeev--Popov ghosts defined in terms of the renormalized coupling constant and examine its dependence on the subtraction scheme.
|
2001.10806
|
Dmitry Chicherin
|
D. Chicherin, J.M. Henn, E. Sokatchev, K. Yan
|
From correlation functions to event shapes in QCD
|
34 pages, 7 figures, 3 ancillary files
| null |
10.1007/JHEP02(2021)053
|
LAPTH-003/20, MPP-2020-8
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a method for calculating event shapes in QCD based on correlation
functions of conserved currents. The method has been previously applied to the
maximally supersymmetric Yang-Mills theory, but we demonstrate that
supersymmetry is not essential. As a proof of concept, we consider the simplest
example of a charge-charge correlation at one loop (leading order). We compute
the correlation function of four electromagnetic currents and explain in detail
the steps needed to extract the event shape from it. The result is compared to
the standard amplitude calculation. The explicit four-point correlation
function may also be of interest for the CFT community.
|
[
{
"created": "Wed, 29 Jan 2020 13:21:40 GMT",
"version": "v1"
}
] |
2021-02-24
|
[
[
"Chicherin",
"D.",
""
],
[
"Henn",
"J. M.",
""
],
[
"Sokatchev",
"E.",
""
],
[
"Yan",
"K.",
""
]
] |
We present a method for calculating event shapes in QCD based on correlation functions of conserved currents. The method has been previously applied to the maximally supersymmetric Yang-Mills theory, but we demonstrate that supersymmetry is not essential. As a proof of concept, we consider the simplest example of a charge-charge correlation at one loop (leading order). We compute the correlation function of four electromagnetic currents and explain in detail the steps needed to extract the event shape from it. The result is compared to the standard amplitude calculation. The explicit four-point correlation function may also be of interest for the CFT community.
|
hep-th/9309021
| null |
V.V. Nesterenko
|
On squaring the primary constraints in a generalized Hamiltonian
dynamics
|
10 pages, LATEX, JINR preprint E2-93-328
|
Phys.Lett. B327 (1994) 50-55
|
10.1016/0370-2693(94)91527-X
| null |
hep-th
| null |
Consideration of the model of the relativistic particle with curvature and
torsion in the three-dimensional space-time shows that the squaring of the
primary constraints entails a wrong result. The complete set of the Hamiltonian
constraints arising here correspond to another model with an action similar but
not identical with the initial action.
|
[
{
"created": "Thu, 2 Sep 1993 17:25:43 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Nesterenko",
"V. V.",
""
]
] |
Consideration of the model of the relativistic particle with curvature and torsion in the three-dimensional space-time shows that the squaring of the primary constraints entails a wrong result. The complete set of the Hamiltonian constraints arising here correspond to another model with an action similar but not identical with the initial action.
|
hep-th/9810088
|
Markus Quandt
|
M. Quandt, H. Reinhardt, A. Schafke
|
Magnetic Monopoles and Topology of Yang-Mills Theory in Polyakov Gauge
|
14 pages, LaTeX2e, 8 eps-figures included using graphicx
|
Phys.Lett. B446 (1999) 290-299
|
10.1016/S0370-2693(98)01547-0
|
UNITU-THEP-17/1998
|
hep-th
| null |
We express the Pontryagin index in Polyakov gauge completely in terms of
magnetically charged gauge fixing defects, namely magnetic monopoles, lines,
and domain walls. Open lines and domain walls are topologically equivalent to
monopoles, which are the genuine defects. The emergence of non-genuine
magnetically charged closed domain walls can be avoided by choosing the
temporal gauge field smoothly. The Pontryagin index is then exclusively
determined by the magnetic monopoles.
|
[
{
"created": "Tue, 13 Oct 1998 12:12:55 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Quandt",
"M.",
""
],
[
"Reinhardt",
"H.",
""
],
[
"Schafke",
"A.",
""
]
] |
We express the Pontryagin index in Polyakov gauge completely in terms of magnetically charged gauge fixing defects, namely magnetic monopoles, lines, and domain walls. Open lines and domain walls are topologically equivalent to monopoles, which are the genuine defects. The emergence of non-genuine magnetically charged closed domain walls can be avoided by choosing the temporal gauge field smoothly. The Pontryagin index is then exclusively determined by the magnetic monopoles.
|
1504.01921
|
Sunil Mukhi
|
Sagar Fakirchand Lokhande and Sunil Mukhi (IISER, Pune)
|
Modular invariance and entanglement entropy
|
27 pages, v3: some explanations added, final version to appear in
JHEP
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the Renyi and entanglement entropies for free 2d CFT's at finite
temperature and finite size, with emphasis on their properties under modular
transformations of the torus. We address the issue of summing over fermion spin
structures in the replica trick, and show that the relation between
entanglement and thermal entropy determines two different ways to perform this
sum in the limits of small and large interval. Both answers are modular
covariant, rather than invariant. Our results are compared with those for a
free boson at unit radius in the two limits and complete agreement is found,
supporting the view that entanglement respects Bose-Fermi duality. We extend
our computations to multiple free Dirac fermions having correlated spin
structures, dual to free bosons on the Spin(2d) weight lattice.
|
[
{
"created": "Wed, 8 Apr 2015 11:34:00 GMT",
"version": "v1"
},
{
"created": "Sat, 18 Apr 2015 13:13:23 GMT",
"version": "v2"
},
{
"created": "Wed, 3 Jun 2015 15:11:37 GMT",
"version": "v3"
}
] |
2015-06-04
|
[
[
"Lokhande",
"Sagar Fakirchand",
"",
"IISER, Pune"
],
[
"Mukhi",
"Sunil",
"",
"IISER, Pune"
]
] |
We study the Renyi and entanglement entropies for free 2d CFT's at finite temperature and finite size, with emphasis on their properties under modular transformations of the torus. We address the issue of summing over fermion spin structures in the replica trick, and show that the relation between entanglement and thermal entropy determines two different ways to perform this sum in the limits of small and large interval. Both answers are modular covariant, rather than invariant. Our results are compared with those for a free boson at unit radius in the two limits and complete agreement is found, supporting the view that entanglement respects Bose-Fermi duality. We extend our computations to multiple free Dirac fermions having correlated spin structures, dual to free bosons on the Spin(2d) weight lattice.
|
hep-th/0511213
|
Sebastian de Haro
|
Giovanni Arcioni, Sebastian de Haro, Peng Gao
|
A Diffusion Model for SU(N) QCD Screening
|
33 pages
|
Phys.Rev.D73:074508,2006
|
10.1103/PhysRevD.73.074508
|
AEI-2005-172 AEI-2005-172, UPR-1138-T
|
hep-th hep-ph math-ph math.MP
| null |
We consider a phenomenological model for the dynamics of Wilson loops in pure
SU(N) QCD where the expectation value of the loop is the average over an
interacting diffusion process on the group manifold SU(N). The interaction is
provided by an arbitrary potential that generates the transition from the
Casimir scaling regime into the screening phase of the four-dimensional gauge
theory. The potential is required to respect the underlying center symmetry of
the gauge theory, and this predicts screening of arbitrary SU(N)
representations to the corresponding antisymmetric representations of the same
N-ality. The stable strings before the onset of screening are therefore the
k-strings. In the process we find a non-trivial but solvable modification of
the QCD_2 matrix model that involves an arbitrary potential.
|
[
{
"created": "Mon, 21 Nov 2005 19:45:50 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Arcioni",
"Giovanni",
""
],
[
"de Haro",
"Sebastian",
""
],
[
"Gao",
"Peng",
""
]
] |
We consider a phenomenological model for the dynamics of Wilson loops in pure SU(N) QCD where the expectation value of the loop is the average over an interacting diffusion process on the group manifold SU(N). The interaction is provided by an arbitrary potential that generates the transition from the Casimir scaling regime into the screening phase of the four-dimensional gauge theory. The potential is required to respect the underlying center symmetry of the gauge theory, and this predicts screening of arbitrary SU(N) representations to the corresponding antisymmetric representations of the same N-ality. The stable strings before the onset of screening are therefore the k-strings. In the process we find a non-trivial but solvable modification of the QCD_2 matrix model that involves an arbitrary potential.
|
2107.03390
|
Suvrat Raju
|
Hao Geng, Andreas Karch, Carlos Perez-Pardavila, Suvrat Raju, Lisa
Randall, Marcos Riojas and Sanjit Shashi
|
Inconsistency of Islands in Theories with Long-Range Gravity
|
46 pages, 11 figures. (v2) Added Appendix A, which addresses several
possible counterarguments
| null |
10.1007/JHEP01(2022)182
| null |
hep-th
|
http://creativecommons.org/licenses/by-nc-sa/4.0/
|
In ordinary gravitational theories, any local bulk operator in an
entanglement wedge is accompanied by a long-range gravitational dressing that
extends to the asymptotic part of the wedge. Islands are the only known
examples of entanglement wedges that are disconnected from the asymptotic
region of spacetime. In this paper, we show that the lack of an asymptotic
region in islands creates a potential puzzle that involves the gravitational
Gauss law, independently of whether or not there is a non-gravitational bath.
In a theory with long-range gravity, the energy of an excitation localized to
the island can be detected from outside the island, in contradiction with the
principle that operators in an entanglement wedge should commute with operators
from its complement. In several known examples, we show that this tension is
resolved because islands appear in conjunction with a massive graviton. We also
derive some additional consistency conditions that must be obeyed by islands in
decoupled systems. Our arguments suggest that islands might not constitute
consistent entanglement wedges in standard theories of massless gravity where
the Gauss law applies.
|
[
{
"created": "Wed, 7 Jul 2021 18:00:00 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Dec 2021 11:31:55 GMT",
"version": "v2"
}
] |
2022-02-16
|
[
[
"Geng",
"Hao",
""
],
[
"Karch",
"Andreas",
""
],
[
"Perez-Pardavila",
"Carlos",
""
],
[
"Raju",
"Suvrat",
""
],
[
"Randall",
"Lisa",
""
],
[
"Riojas",
"Marcos",
""
],
[
"Shashi",
"Sanjit",
""
]
] |
In ordinary gravitational theories, any local bulk operator in an entanglement wedge is accompanied by a long-range gravitational dressing that extends to the asymptotic part of the wedge. Islands are the only known examples of entanglement wedges that are disconnected from the asymptotic region of spacetime. In this paper, we show that the lack of an asymptotic region in islands creates a potential puzzle that involves the gravitational Gauss law, independently of whether or not there is a non-gravitational bath. In a theory with long-range gravity, the energy of an excitation localized to the island can be detected from outside the island, in contradiction with the principle that operators in an entanglement wedge should commute with operators from its complement. In several known examples, we show that this tension is resolved because islands appear in conjunction with a massive graviton. We also derive some additional consistency conditions that must be obeyed by islands in decoupled systems. Our arguments suggest that islands might not constitute consistent entanglement wedges in standard theories of massless gravity where the Gauss law applies.
|
hep-th/0306263
|
Olaf Lechtenfeld
|
Olaf Lechtenfeld, Alexander D. Popov
|
Noncommutative Monopoles and Riemann-Hilbert Problems
|
1+39 pages; v2: typos corrected, refs added, final JHEP version
|
JHEP 0401 (2004) 069
|
10.1088/1126-6708/2004/01/069
| null |
hep-th
| null |
The Bogomolny equations for Yang-Mills-Higgs monopoles follow from a system
of linear equations which may be solved through a parametric Riemann-Hilbert
problem. We extend this approach to noncommutative R^3 and use it to
(re)construct noncommutative Dirac, Wu-Yang, and BPS monopole configurations in
a unified manner. In all cases we write down the underlying matrix-valued
functions for multi-monopoles and solve the corresponding Riemann-Hilbert
problems for charge one.
|
[
{
"created": "Thu, 26 Jun 2003 13:55:09 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Feb 2004 14:00:04 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Lechtenfeld",
"Olaf",
""
],
[
"Popov",
"Alexander D.",
""
]
] |
The Bogomolny equations for Yang-Mills-Higgs monopoles follow from a system of linear equations which may be solved through a parametric Riemann-Hilbert problem. We extend this approach to noncommutative R^3 and use it to (re)construct noncommutative Dirac, Wu-Yang, and BPS monopole configurations in a unified manner. In all cases we write down the underlying matrix-valued functions for multi-monopoles and solve the corresponding Riemann-Hilbert problems for charge one.
|
2112.12128
|
Ruth Shir
|
E. Rabinovici, A. S\'anchez-Garrido, R. Shir and J. Sonner
|
Krylov Localization and suppression of complexity
|
v1: 37 pages, 13 figures. v2: published version
| null |
10.1007/JHEP03(2022)211
| null |
hep-th cond-mat.str-el quant-ph
|
http://creativecommons.org/licenses/by/4.0/
|
Quantum complexity, suitably defined, has been suggested as an important
probe of late-time dynamics of black holes, particularly in the context of
AdS/CFT. A notion of quantum complexity can be effectively captured by
quantifying the spread of an operator in Krylov space as a consequence of time
evolution. Complexity is expected to behave differently in chaotic many-body
systems, as compared to integrable ones. In this paper we investigate Krylov
complexity for the case of interacting integrable models at finite size and
find that complexity saturation is suppressed as compared to chaotic systems.
We associate this behavior with a novel localization phenomenon on the Krylov
chain by mapping the theory of complexity growth and spread to an Anderson
localization hopping model with off-diagonal disorder, and find that
localization is enhanced in the integrable case due to a stronger disorder in
the hopping amplitudes, inducing an effective suppression of Krylov complexity.
We demonstrate this behavior for an interacting integrable model, the XXZ spin
chain, and show that the same behavior results from a phenomenological model
that we define: This model captures the essential features of our analysis and
is able to reproduce the behaviors we observe for chaotic and integrable
systems via an adjustable disorder parameter.
|
[
{
"created": "Wed, 22 Dec 2021 18:45:32 GMT",
"version": "v1"
},
{
"created": "Sat, 2 Apr 2022 18:49:51 GMT",
"version": "v2"
}
] |
2022-04-20
|
[
[
"Rabinovici",
"E.",
""
],
[
"Sánchez-Garrido",
"A.",
""
],
[
"Shir",
"R.",
""
],
[
"Sonner",
"J.",
""
]
] |
Quantum complexity, suitably defined, has been suggested as an important probe of late-time dynamics of black holes, particularly in the context of AdS/CFT. A notion of quantum complexity can be effectively captured by quantifying the spread of an operator in Krylov space as a consequence of time evolution. Complexity is expected to behave differently in chaotic many-body systems, as compared to integrable ones. In this paper we investigate Krylov complexity for the case of interacting integrable models at finite size and find that complexity saturation is suppressed as compared to chaotic systems. We associate this behavior with a novel localization phenomenon on the Krylov chain by mapping the theory of complexity growth and spread to an Anderson localization hopping model with off-diagonal disorder, and find that localization is enhanced in the integrable case due to a stronger disorder in the hopping amplitudes, inducing an effective suppression of Krylov complexity. We demonstrate this behavior for an interacting integrable model, the XXZ spin chain, and show that the same behavior results from a phenomenological model that we define: This model captures the essential features of our analysis and is able to reproduce the behaviors we observe for chaotic and integrable systems via an adjustable disorder parameter.
|
hep-th/9412063
|
Vladimir Smirnov
|
V.A. Smirnov
|
Asymptotic Expansions in Momenta and Masses and Calculation of Feynman
Diagrams
|
15 pages, latex
|
Mod.Phys.Lett. A10 (1995) 1485-1500
|
10.1142/S0217732395001617
|
MPI-PhT/94-82
|
hep-th
| null |
General results on asymptotic expansions of Feynman diagrams in momenta
and/or masses are reviewed. It is shown how they are applied for calculation of
massive diagrams.
|
[
{
"created": "Wed, 7 Dec 1994 10:33:33 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Smirnov",
"V. A.",
""
]
] |
General results on asymptotic expansions of Feynman diagrams in momenta and/or masses are reviewed. It is shown how they are applied for calculation of massive diagrams.
|
hep-th/0008083
|
Soonkeon Nam
|
Soonkeon Nam
|
Casimir Force in Compact Noncommutative Extra Dimensions and Radius
Stabilization
|
10 pages, TeX, harvmac
|
JHEP 0010:044,2000
|
10.1088/1126-6708/2000/10/044
|
HUTP-00/A032
|
hep-th
| null |
We compute the one loop Casimir energy of an interacting scalar field in a
compact noncommutative space of $R^{1,d}\times T^2_\theta$, where we have
ordinary flat $1+d$ dimensional Minkowski space and two dimensional
noncommuative torus. We find that next order correction due to the
noncommutativity still contributes an attractive force and thus will have a
quantum instability. However, the case of vector field in a periodic boundary
condition gives repulsive force for $d>5$ and we expect a stabilized radius.
This suggests a stabilization mechanism for a senario in Kaluza-Klein theory,
where some of the extra dimensions are noncommutative.
|
[
{
"created": "Wed, 9 Aug 2000 21:00:03 GMT",
"version": "v1"
}
] |
2010-02-05
|
[
[
"Nam",
"Soonkeon",
""
]
] |
We compute the one loop Casimir energy of an interacting scalar field in a compact noncommutative space of $R^{1,d}\times T^2_\theta$, where we have ordinary flat $1+d$ dimensional Minkowski space and two dimensional noncommuative torus. We find that next order correction due to the noncommutativity still contributes an attractive force and thus will have a quantum instability. However, the case of vector field in a periodic boundary condition gives repulsive force for $d>5$ and we expect a stabilized radius. This suggests a stabilization mechanism for a senario in Kaluza-Klein theory, where some of the extra dimensions are noncommutative.
|
1108.1394
|
Niklas Johansson
|
Andreas P. Braun, Niklas Johansson, Magdalena Larfors and Nils-Ole
Walliser
|
Restrictions on infinite sequences of type IIB vacua
|
35 pages. v2. Typos corrected, ref. added. Matches published version
|
J. High Energy Phys. JHEP10(2011)091
|
10.1007/JHEP10(2011)091
|
TUW-11-20; LMU-ASC 35/11
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Ashok and Douglas have shown that infinite sequences of type IIB flux vacua
with imaginary self-dual flux can only occur in so-called D-limits,
corresponding to singular points in complex structure moduli space. In this
work we refine this no-go result by demonstrating that there are no infinite
sequences accumulating to the large complex structure point of a certain class
of one-parameter Calabi-Yau manifolds. We perform a similar analysis for
conifold points and for the decoupling limit, obtaining identical results.
Furthermore, we establish the absence of infinite sequences in a D-limit
corresponding to the large complex structure limit of a two-parameter
Calabi-Yau. In particular, our results demonstrate analytically that the series
of vacua recently discovered by Ahlqvist et al., seemingly accumulating to the
large complex structure point, are finite. We perform a numerical study of
these series close to the large complex structure point using appropriate
approximations for the period functions. This analysis reveals that the series
bounce out from the large complex structure point, and that the flux eventually
ceases to be imaginary self-dual. Finally, we study D-limits for F-theory
compactifications on K3\times K3 for which the finiteness of supersymmetric
vacua is already established. We do find infinite sequences of flux vacua which
are, however, identified by automorphisms of K3.
|
[
{
"created": "Fri, 5 Aug 2011 20:00:01 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Nov 2011 11:17:03 GMT",
"version": "v2"
}
] |
2011-11-29
|
[
[
"Braun",
"Andreas P.",
""
],
[
"Johansson",
"Niklas",
""
],
[
"Larfors",
"Magdalena",
""
],
[
"Walliser",
"Nils-Ole",
""
]
] |
Ashok and Douglas have shown that infinite sequences of type IIB flux vacua with imaginary self-dual flux can only occur in so-called D-limits, corresponding to singular points in complex structure moduli space. In this work we refine this no-go result by demonstrating that there are no infinite sequences accumulating to the large complex structure point of a certain class of one-parameter Calabi-Yau manifolds. We perform a similar analysis for conifold points and for the decoupling limit, obtaining identical results. Furthermore, we establish the absence of infinite sequences in a D-limit corresponding to the large complex structure limit of a two-parameter Calabi-Yau. In particular, our results demonstrate analytically that the series of vacua recently discovered by Ahlqvist et al., seemingly accumulating to the large complex structure point, are finite. We perform a numerical study of these series close to the large complex structure point using appropriate approximations for the period functions. This analysis reveals that the series bounce out from the large complex structure point, and that the flux eventually ceases to be imaginary self-dual. Finally, we study D-limits for F-theory compactifications on K3\times K3 for which the finiteness of supersymmetric vacua is already established. We do find infinite sequences of flux vacua which are, however, identified by automorphisms of K3.
|
2304.05751
|
Yu-Xiao Liu
|
Meng-Ting Wang, Hong-Yue Jiang, Yu-Xiao Liu
|
Generalized Volume-Complexity for RN-AdS Black Hole
|
20 pages, 9 figures
|
JHEP 07 (2023) 178
|
10.1007/JHEP07(2023)178
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The connection between quantum information and quantum gravity has captured
the imagination of physicists. Recently, a broad new class of gravitational
observables have been proposed to provide new possibilities for holographic
complexity \cite{Belin:2021bga} , which is an extension of volume in the
Complexity=Volume proposal. In this paper, we investigate generalized
volume-complexity for the 4-dimensional Reissner-Nordstr\"{o}m-AdS black hole.
These new observables satisfy the characteristic of the thermofield double
state, i.e., they grow linearly in time on the late stage. We find that there
are multiple extremal hypersurfaces anchored at a certain boundary time. In
other words, for the same boundary time, more than one observable (generalized
volume-complexity) can exist in the bulk. The size relationship of the
observables on the two hypersurfaces changes over time. This will result in the
substitution of the maximum extreme hypersurface which is dual to the
complexity of the thermofield double state. We call the time when one
hypersurface replaces another to become the largest extreme hypersurface the
turning time $\tau _{turning}$. That is, a hypersurface dual to the complexity
of the thermofield double state defined on the boundary jumps from one branch
to another. This discontinuous jump is highly reminiscent of a phase
transition, and the turning time denotes the moment at which this phase
transition occurs. Our findings propose a discontinuous variation in bulk
physics that is dual to the complexity of the thermofield double state defined
on the boundary.
|
[
{
"created": "Wed, 12 Apr 2023 10:13:59 GMT",
"version": "v1"
},
{
"created": "Wed, 3 May 2023 12:44:08 GMT",
"version": "v2"
},
{
"created": "Wed, 21 Feb 2024 03:56:29 GMT",
"version": "v3"
}
] |
2024-02-23
|
[
[
"Wang",
"Meng-Ting",
""
],
[
"Jiang",
"Hong-Yue",
""
],
[
"Liu",
"Yu-Xiao",
""
]
] |
The connection between quantum information and quantum gravity has captured the imagination of physicists. Recently, a broad new class of gravitational observables have been proposed to provide new possibilities for holographic complexity \cite{Belin:2021bga} , which is an extension of volume in the Complexity=Volume proposal. In this paper, we investigate generalized volume-complexity for the 4-dimensional Reissner-Nordstr\"{o}m-AdS black hole. These new observables satisfy the characteristic of the thermofield double state, i.e., they grow linearly in time on the late stage. We find that there are multiple extremal hypersurfaces anchored at a certain boundary time. In other words, for the same boundary time, more than one observable (generalized volume-complexity) can exist in the bulk. The size relationship of the observables on the two hypersurfaces changes over time. This will result in the substitution of the maximum extreme hypersurface which is dual to the complexity of the thermofield double state. We call the time when one hypersurface replaces another to become the largest extreme hypersurface the turning time $\tau _{turning}$. That is, a hypersurface dual to the complexity of the thermofield double state defined on the boundary jumps from one branch to another. This discontinuous jump is highly reminiscent of a phase transition, and the turning time denotes the moment at which this phase transition occurs. Our findings propose a discontinuous variation in bulk physics that is dual to the complexity of the thermofield double state defined on the boundary.
|
0808.1054
|
Marcus Spradlin
|
Marcus Spradlin, Anastasia Volovich, Congkao Wen
|
Three-Loop Leading Singularities and BDS Ansatz for Five Particles
|
20 pages, 2 figures, v2: very minor changes
|
Phys.Rev.D78:085025,2008
|
10.1103/PhysRevD.78.085025
|
Brown-HET-1553
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use the leading singularity technique to determine the planar three-loop
five-particle amplitude in N=4 super Yang-Mills in terms of a simple basis of
integrals. We analytically compute the integral coefficients for both the
parity-even and the parity-odd parts of the amplitude. The parity-even part
involves only dual conformally invariant integrals. Using the method of
obstructions we numerically evaluate two previously unfixed coefficients which
appear in the three-loop BDS ansatz.
|
[
{
"created": "Thu, 7 Aug 2008 15:44:10 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Oct 2008 18:00:29 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Spradlin",
"Marcus",
""
],
[
"Volovich",
"Anastasia",
""
],
[
"Wen",
"Congkao",
""
]
] |
We use the leading singularity technique to determine the planar three-loop five-particle amplitude in N=4 super Yang-Mills in terms of a simple basis of integrals. We analytically compute the integral coefficients for both the parity-even and the parity-odd parts of the amplitude. The parity-even part involves only dual conformally invariant integrals. Using the method of obstructions we numerically evaluate two previously unfixed coefficients which appear in the three-loop BDS ansatz.
|
1512.08586
|
Jirui Guo
|
Jirui Guo, Zhentao Lu, Eric Sharpe
|
Quantum sheaf cohomology on Grassmannians
|
60 pages, LaTeX; v2:identifier added to reference; v3:typos fixed
|
Comm. Math. Phys. 352 (2017) 135-184
|
10.1007/s00220-016-2763-z
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we study the quantum sheaf cohomology of Grassmannians with
deformations of the tangent bundle. Quantum sheaf cohomology is a (0,2)
deformation of the ordinary quantum cohomology ring, realized as the OPE ring
in A/2-twisted theories. Quantum sheaf cohomology has previously been computed
for abelian gauged linear sigma models (GLSMs); here, we study (0,2)
deformations of nonabelian GLSMs, for which previous methods have been
intractable. Combined with the classical result, the quantum ring structure is
derived from the one-loop effective potential. We also utilize recent advances
in supersymmetric localization to compute A/2 correlation functions and check
the general result in examples. In this paper we focus on physics derivations
and examples; in a companion paper, we will provide a mathematically rigorous
derivation of the classical sheaf cohomology ring.
|
[
{
"created": "Tue, 29 Dec 2015 02:46:02 GMT",
"version": "v1"
},
{
"created": "Mon, 16 May 2016 06:54:26 GMT",
"version": "v2"
},
{
"created": "Sat, 30 Jul 2016 21:55:10 GMT",
"version": "v3"
}
] |
2017-03-17
|
[
[
"Guo",
"Jirui",
""
],
[
"Lu",
"Zhentao",
""
],
[
"Sharpe",
"Eric",
""
]
] |
In this paper we study the quantum sheaf cohomology of Grassmannians with deformations of the tangent bundle. Quantum sheaf cohomology is a (0,2) deformation of the ordinary quantum cohomology ring, realized as the OPE ring in A/2-twisted theories. Quantum sheaf cohomology has previously been computed for abelian gauged linear sigma models (GLSMs); here, we study (0,2) deformations of nonabelian GLSMs, for which previous methods have been intractable. Combined with the classical result, the quantum ring structure is derived from the one-loop effective potential. We also utilize recent advances in supersymmetric localization to compute A/2 correlation functions and check the general result in examples. In this paper we focus on physics derivations and examples; in a companion paper, we will provide a mathematically rigorous derivation of the classical sheaf cohomology ring.
|
2012.14689
|
Matthew Buican
|
Matthew Buican, Linfeng Li, and Rajath Radhakrishnan
|
$a\times b=c$ in $2+1$D TQFT
|
65 pages; 3 figures; 3 appendices; v2: some clarifications in section
3; reference added; v3: brief additional discussion in introduction and
references added; v4: summary of results added, typos fixed, additional
discussion--to appear in Quantum
|
Quantum 5, 468 (2021)
|
10.22331/q-2021-06-04-468
|
QMUL-PH-20-37
|
hep-th cond-mat.str-el math-ph math.MP math.QA quant-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We study the implications of the anyon fusion equation $a\times b=c$ on
global properties of $2+1$D topological quantum field theories (TQFTs). Here
$a$ and $b$ are anyons that fuse together to give a unique anyon, $c$. As is
well known, when at least one of $a$ and $b$ is abelian, such equations
describe aspects of the one-form symmetry of the theory. When $a$ and $b$ are
non-abelian, the most obvious way such fusions arise is when a TQFT can be
resolved into a product of TQFTs with trivial mutual braiding, and $a$ and $b$
lie in separate factors. More generally, we argue that the appearance of such
fusions for non-abelian $a$ and $b$ can also be an indication of zero-form
symmetries in a TQFT, of what we term "quasi-zero-form symmetries" (as in the
case of discrete gauge theories based on the largest Mathieu group, $M_{24}$),
or of the existence of non-modular fusion subcategories. We study these ideas
in a variety of TQFT settings from (twisted and untwisted) discrete gauge
theories to Chern-Simons theories based on continuous gauge groups and related
cosets. Along the way, we prove various useful theorems.
|
[
{
"created": "Tue, 29 Dec 2020 10:01:57 GMT",
"version": "v1"
},
{
"created": "Sun, 17 Jan 2021 20:08:49 GMT",
"version": "v2"
},
{
"created": "Sat, 27 Feb 2021 08:48:18 GMT",
"version": "v3"
},
{
"created": "Wed, 2 Jun 2021 15:38:06 GMT",
"version": "v4"
}
] |
2021-06-09
|
[
[
"Buican",
"Matthew",
""
],
[
"Li",
"Linfeng",
""
],
[
"Radhakrishnan",
"Rajath",
""
]
] |
We study the implications of the anyon fusion equation $a\times b=c$ on global properties of $2+1$D topological quantum field theories (TQFTs). Here $a$ and $b$ are anyons that fuse together to give a unique anyon, $c$. As is well known, when at least one of $a$ and $b$ is abelian, such equations describe aspects of the one-form symmetry of the theory. When $a$ and $b$ are non-abelian, the most obvious way such fusions arise is when a TQFT can be resolved into a product of TQFTs with trivial mutual braiding, and $a$ and $b$ lie in separate factors. More generally, we argue that the appearance of such fusions for non-abelian $a$ and $b$ can also be an indication of zero-form symmetries in a TQFT, of what we term "quasi-zero-form symmetries" (as in the case of discrete gauge theories based on the largest Mathieu group, $M_{24}$), or of the existence of non-modular fusion subcategories. We study these ideas in a variety of TQFT settings from (twisted and untwisted) discrete gauge theories to Chern-Simons theories based on continuous gauge groups and related cosets. Along the way, we prove various useful theorems.
|
1008.0206
|
Hugo Garcia-Compean
|
Hugo Garcia-Compean, Pablo Paniagua
|
Gauged WZW Models Via Equivariant Cohomology
|
10 pages, no figures
|
Mod.Phys.Lett.A26:1343-1352,2011
|
10.1142/S0217732311035754
|
Cinvestav-Fis 99-2010
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The problem of computing systematically the gauge invariant extension of WZW
term through equivariant cohomology is addressed. The analysis done by Witten
in the two-dimensional case is extended to the four-dimensional ones. While
Cartan's model is used to find the anomaly cancelation condition. It is shown
that the Weil model is more appropriated to find the gauge invariant extension
of the WZW term. In the process we point out that Weil's and Cartan's models
are also useful to stress some connections with the abelian anomaly.
|
[
{
"created": "Sun, 1 Aug 2010 21:47:12 GMT",
"version": "v1"
}
] |
2011-06-30
|
[
[
"Garcia-Compean",
"Hugo",
""
],
[
"Paniagua",
"Pablo",
""
]
] |
The problem of computing systematically the gauge invariant extension of WZW term through equivariant cohomology is addressed. The analysis done by Witten in the two-dimensional case is extended to the four-dimensional ones. While Cartan's model is used to find the anomaly cancelation condition. It is shown that the Weil model is more appropriated to find the gauge invariant extension of the WZW term. In the process we point out that Weil's and Cartan's models are also useful to stress some connections with the abelian anomaly.
|
hep-th/9210020
|
Francesco Toppan
|
F. Constantinescu, F. Toppan
|
On the Linearized Artin Braid Representation
|
13 pages. Frankfurt a. M. preprint
| null | null | null |
hep-th math.GR math.QA
| null |
We linearize the Artin representation of the braid group given by (right)
automorphisms of a free group providing a linear faithful representation of the
braid group. This result is generalized to obtain linear representations for
the coloured braid groupoid and pure braid group too. Applications to some
areas of two-dimensional physics are discussed.
|
[
{
"created": "Mon, 5 Oct 1992 09:47:59 GMT",
"version": "v1"
}
] |
2008-02-03
|
[
[
"Constantinescu",
"F.",
""
],
[
"Toppan",
"F.",
""
]
] |
We linearize the Artin representation of the braid group given by (right) automorphisms of a free group providing a linear faithful representation of the braid group. This result is generalized to obtain linear representations for the coloured braid groupoid and pure braid group too. Applications to some areas of two-dimensional physics are discussed.
|
hep-th/0610211
|
Raphael Bousso
|
Raphael Bousso
|
Precision Cosmology and the Landscape
|
39 pages, 6 figures. Based on a talk given at the conference in honor
of the 90th birthday of Charles Townes (Berkeley, October 2005), and on a
colloquium at Stanford University. v2, v3: references improved
| null | null | null |
hep-th astro-ph gr-qc hep-ph
| null |
After reviewing the cosmological constant problem - why is Lambda not huge? -
I outline the two basic approaches that had emerged by the late 1980s, and note
that each made a clear prediction. Precision cosmological experiments now
indicate that the cosmological constant is nonzero. This result strongly favors
the environmental approach, in which vacuum energy can vary discretely among
widely separated regions in the universe. The need to explain this variation
from first principles constitutes an observational constraint on fundamental
theory. I review arguments that string theory satisfies this constraint, as it
contains a dense discretuum of metastable vacua. The enormous landscape of
vacua calls for novel, statistical methods of deriving predictions, and it
prompts us to reexamine our description of spacetime on the largest scales. I
discuss the effects of cosmological dynamics, and I speculate that weighting
vacua by their entropy production may allow for prior-free predictions that do
not resort to explicitly anthropic arguments.
|
[
{
"created": "Wed, 18 Oct 2006 20:01:13 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Oct 2006 20:46:59 GMT",
"version": "v2"
},
{
"created": "Fri, 3 Nov 2006 02:46:53 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Bousso",
"Raphael",
""
]
] |
After reviewing the cosmological constant problem - why is Lambda not huge? - I outline the two basic approaches that had emerged by the late 1980s, and note that each made a clear prediction. Precision cosmological experiments now indicate that the cosmological constant is nonzero. This result strongly favors the environmental approach, in which vacuum energy can vary discretely among widely separated regions in the universe. The need to explain this variation from first principles constitutes an observational constraint on fundamental theory. I review arguments that string theory satisfies this constraint, as it contains a dense discretuum of metastable vacua. The enormous landscape of vacua calls for novel, statistical methods of deriving predictions, and it prompts us to reexamine our description of spacetime on the largest scales. I discuss the effects of cosmological dynamics, and I speculate that weighting vacua by their entropy production may allow for prior-free predictions that do not resort to explicitly anthropic arguments.
|
2402.14787
|
Felix Tellander
|
Martin Helmer, Georgios Papathanasiou and Felix Tellander
|
Landau Singularities from Whitney Stratifications
|
7 pages, 6 figures
| null | null |
DESY-24-023
|
hep-th math-ph math.AG math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
We demonstrate that the complete and non-redundant set of Landau
singularities of Feynman integrals may be explicitly obtained from the Whitney
stratification of an algebraic map. As a proof of concept, we leverage recent
theoretical and algorithmic advances in their computation, as well as their
software implementation, in order to determine this set for several nontrivial
examples of two-loop integrals. Interestingly, different strata of the Whitney
stratification describe not only the singularities of a given integral, but
also those of integrals obtained from kinematic limits, e.g.~by setting some of
its masses or momenta to zero.
|
[
{
"created": "Thu, 22 Feb 2024 18:42:31 GMT",
"version": "v1"
}
] |
2024-02-23
|
[
[
"Helmer",
"Martin",
""
],
[
"Papathanasiou",
"Georgios",
""
],
[
"Tellander",
"Felix",
""
]
] |
We demonstrate that the complete and non-redundant set of Landau singularities of Feynman integrals may be explicitly obtained from the Whitney stratification of an algebraic map. As a proof of concept, we leverage recent theoretical and algorithmic advances in their computation, as well as their software implementation, in order to determine this set for several nontrivial examples of two-loop integrals. Interestingly, different strata of the Whitney stratification describe not only the singularities of a given integral, but also those of integrals obtained from kinematic limits, e.g.~by setting some of its masses or momenta to zero.
|
2203.11548
|
Robert Brandenberger
|
Robert Brandenberger and Vahid Kamali (McGill University)
|
Unitarity Problems for an Effective Field Theory Description of Early
Universe Cosmology
|
8 pages
| null |
10.1140/epjc/s10052-022-10783-2
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the context of Effective Field Theory, the Hilbert space of states
increases in an expanding universe. Hence, the time evolution cannot be
unitary. The formation of structure is usually studied using effective field
theory techniques. We study the constraints on effective field theory analyses
of early universe models which come from demanding that the factor of the space
of states corresponding to length scales where the primordial fluctuations are
manifest does not suffer from the unitarity problem. For bouncing and emergent
cosmologies, no constraints arise provided that the energy scale of the bounce
or emergent phases is smaller than the ultraviolet (UV) cutoff scale. On the
other hand, in the case of the inflationary scenario, non-trivial upper bounds
on the energy scale of inflation arise.
|
[
{
"created": "Tue, 22 Mar 2022 09:03:12 GMT",
"version": "v1"
}
] |
2022-09-28
|
[
[
"Brandenberger",
"Robert",
"",
"McGill University"
],
[
"Kamali",
"Vahid",
"",
"McGill University"
]
] |
In the context of Effective Field Theory, the Hilbert space of states increases in an expanding universe. Hence, the time evolution cannot be unitary. The formation of structure is usually studied using effective field theory techniques. We study the constraints on effective field theory analyses of early universe models which come from demanding that the factor of the space of states corresponding to length scales where the primordial fluctuations are manifest does not suffer from the unitarity problem. For bouncing and emergent cosmologies, no constraints arise provided that the energy scale of the bounce or emergent phases is smaller than the ultraviolet (UV) cutoff scale. On the other hand, in the case of the inflationary scenario, non-trivial upper bounds on the energy scale of inflation arise.
|
1408.1583
|
Dimitri Polyakov Prof
|
Dimitri Polyakov
|
New analytic solutions in String Field Theory: towards collective Higher
Spin vacuum
|
21 pages
|
Phys. Rev. D 90, 086002 (2014)
|
10.1103/PhysRevD.90.086002
|
CTP-SCU/2014003
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct analytic solutions in cubic open superstring field theory at
higher superconformal ghost numbers.The solutions are the pure ghost ones and
are given by combinations of Bell polynomials of bosonized superconformal ghost
fields multiplied by exponents of the bosonized ghosts. Based on the structure
of the solutions, we conjecture them to describe the ghost part of collective
vacuum for higher spin modes in open string theory.
|
[
{
"created": "Thu, 7 Aug 2014 13:24:39 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Aug 2014 13:27:13 GMT",
"version": "v2"
}
] |
2014-10-08
|
[
[
"Polyakov",
"Dimitri",
""
]
] |
We construct analytic solutions in cubic open superstring field theory at higher superconformal ghost numbers.The solutions are the pure ghost ones and are given by combinations of Bell polynomials of bosonized superconformal ghost fields multiplied by exponents of the bosonized ghosts. Based on the structure of the solutions, we conjecture them to describe the ghost part of collective vacuum for higher spin modes in open string theory.
|
2210.01545
|
Chang-Zhong Guo
|
Chang-Zhong Guo, Wen-Cong Gan, Fu-Wen Shu
|
A Note on Entanglement Entropy for Primary Fermion Fields in JT Gravity
|
15 pages, 3 figures; improvements to presentation, new content added
in appendix to comment about the correlator trace formula of primary fermion
fields, published version in CPC
|
Chin.Phys.C (2023),0097
|
10.1088/1674-1137/acdd60
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we analyse and discuss 2D Jackiw-Teitelboim (JT) gravity
coupled to primary fermion fields in asymptotically anti-de Sitter (AdS)
spacetimes. We get a particular solution of the massless Dirac field outside
the extremal black hole horizon and find the solution for the dilaton in JT
gravity. Two dimensional JT gravity spacetime is conformally flat, we calculate
the two point correlators of primary fermion fields under the Weyl
transformations. The key point of this work is to present a standard technique
which is called resolvent rather than CFT methods. We redefine the fields in
terms of the conformal factor as the fermion fields, and we use the resolvent
technique to derive the renormalized entanglement entropy for massless Dirac
fields in JT gravity.
|
[
{
"created": "Tue, 4 Oct 2022 12:18:00 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Oct 2022 02:08:20 GMT",
"version": "v2"
},
{
"created": "Thu, 6 Oct 2022 11:03:24 GMT",
"version": "v3"
},
{
"created": "Tue, 27 Jun 2023 03:39:06 GMT",
"version": "v4"
}
] |
2023-06-28
|
[
[
"Guo",
"Chang-Zhong",
""
],
[
"Gan",
"Wen-Cong",
""
],
[
"Shu",
"Fu-Wen",
""
]
] |
In this paper we analyse and discuss 2D Jackiw-Teitelboim (JT) gravity coupled to primary fermion fields in asymptotically anti-de Sitter (AdS) spacetimes. We get a particular solution of the massless Dirac field outside the extremal black hole horizon and find the solution for the dilaton in JT gravity. Two dimensional JT gravity spacetime is conformally flat, we calculate the two point correlators of primary fermion fields under the Weyl transformations. The key point of this work is to present a standard technique which is called resolvent rather than CFT methods. We redefine the fields in terms of the conformal factor as the fermion fields, and we use the resolvent technique to derive the renormalized entanglement entropy for massless Dirac fields in JT gravity.
|
2002.09974
|
Hamid R. Bakhtiarizadeh
|
Hamid R. Bakhtiarizadeh, Ghadir Jafari
|
Holographic complexity of Born-Infeld gravity
|
LaTex file, 10 pages, 1 figure, To appear in EPJC
| null |
10.1140/epjc/s10052-020-7766-4
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We investigate the duality conjecture "Complexity=Action" (CA) for
Born-Infeld (BI) gravity model and derive the growth rate of its action within
the Wheeler-DeWitt (WDW) patch, which is believed to be dual to the growth rate
of quantum complexity of holographic boundary state. In order to find the
correct on-shell action, we use direct variational procedure to find proper
boundary and corner terms. We find out that the late-time behavior of
holographic complexity is the well-known two times of energy, as expected.
|
[
{
"created": "Sun, 23 Feb 2020 19:11:38 GMT",
"version": "v1"
}
] |
2020-04-22
|
[
[
"Bakhtiarizadeh",
"Hamid R.",
""
],
[
"Jafari",
"Ghadir",
""
]
] |
We investigate the duality conjecture "Complexity=Action" (CA) for Born-Infeld (BI) gravity model and derive the growth rate of its action within the Wheeler-DeWitt (WDW) patch, which is believed to be dual to the growth rate of quantum complexity of holographic boundary state. In order to find the correct on-shell action, we use direct variational procedure to find proper boundary and corner terms. We find out that the late-time behavior of holographic complexity is the well-known two times of energy, as expected.
|
2204.04110
|
Federico Piazza
|
Alberto Nicolis, Federico Piazza and Kenza Zeghari
|
Rotating cosmologies: classical and quantum
|
38 pages, 4 figures
| null |
10.1088/1475-7516/2022/10/059
| null |
hep-th astro-ph.CO gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We revisit spatially flat, anisotropic cosmologies within the framework of
mini-superspace. Putting special emphasis on the symmetries of the
mini-superspace action and on the associated conservation laws, we unveil a new
class of rotating cosmologies driven by solid matter. Their rotating is
physical, in that it is characterized in an invariant way in terms of a
conserved angular momentum. Along the way, we confirm the results of Bartolo et
al. regarding the slow decay of anisotropies for solid inflation. We then use
our minisuperspace approach as a laboratory to address certain puzzles of
quantum cosmology-among these, how to characterize the spacetime symmetries of
a quantum state at the level of the wavefunction of the universe. For the case
of a solid driven cosmology, this question seems better defined than in more
standard cases. Other questions remain unanswered, though; in particular, the
general question of how to operate a minisuperspace-like truncation of degrees
of freedom that is consistent at the quantum level.
|
[
{
"created": "Fri, 8 Apr 2022 14:58:06 GMT",
"version": "v1"
}
] |
2022-10-26
|
[
[
"Nicolis",
"Alberto",
""
],
[
"Piazza",
"Federico",
""
],
[
"Zeghari",
"Kenza",
""
]
] |
We revisit spatially flat, anisotropic cosmologies within the framework of mini-superspace. Putting special emphasis on the symmetries of the mini-superspace action and on the associated conservation laws, we unveil a new class of rotating cosmologies driven by solid matter. Their rotating is physical, in that it is characterized in an invariant way in terms of a conserved angular momentum. Along the way, we confirm the results of Bartolo et al. regarding the slow decay of anisotropies for solid inflation. We then use our minisuperspace approach as a laboratory to address certain puzzles of quantum cosmology-among these, how to characterize the spacetime symmetries of a quantum state at the level of the wavefunction of the universe. For the case of a solid driven cosmology, this question seems better defined than in more standard cases. Other questions remain unanswered, though; in particular, the general question of how to operate a minisuperspace-like truncation of degrees of freedom that is consistent at the quantum level.
|
hep-th/0301117
|
Gary Gibbons
|
G.W. Gibbons
|
Thoughts on Tachyon Cosmology
|
34 pages, no figures. This is the written version of a lecture
delivered at the Workshop on the Quantum Structure of Spacetime and the
Geometric Nature of Fundamental Interactions held in Leuven from Sept 13th to
Sept 19th(2002) which is to appear in the Proceedings in a special issue of
Quantum and Classical Gravity
|
Class.Quant.Grav.20:S321-S346,2003
|
10.1088/0264-9381/20/12/301
|
DAMTP-2003-6
|
hep-th
| null |
After a pedagogical review of elementary cosmology, I go on to discuss some
obstacles to obtaining inflationary or accelerating universes in M/String
Theory. In particular, I give an account of an old No-Go Theorem to this
effect. I then describe some recent ideas about the possible r\^ole of the
tachyon in cosmology. I stress that there are many objections to a naive
inflationary model based on the tachyon, but there remains the possiblity that
the tachyon was important in a possible pre-inflationary Open-String Era
preceding our present Closed String Era.
|
[
{
"created": "Thu, 16 Jan 2003 21:04:52 GMT",
"version": "v1"
}
] |
2010-04-06
|
[
[
"Gibbons",
"G. W.",
""
]
] |
After a pedagogical review of elementary cosmology, I go on to discuss some obstacles to obtaining inflationary or accelerating universes in M/String Theory. In particular, I give an account of an old No-Go Theorem to this effect. I then describe some recent ideas about the possible r\^ole of the tachyon in cosmology. I stress that there are many objections to a naive inflationary model based on the tachyon, but there remains the possiblity that the tachyon was important in a possible pre-inflationary Open-String Era preceding our present Closed String Era.
|
2405.09745
|
Wu-Zhong Guo
|
Wu-zhong Guo, Yao-zong Jiang, Jin Xu
|
Pseudoentropy sum rule by analytical continuation of the superposition
parameter
|
references added
| null | null | null |
hep-th cond-mat.stat-mech quant-ph
|
http://creativecommons.org/publicdomain/zero/1.0/
|
In this paper, we establish a sum rule that connects the pseudoentropy and
entanglement entropy of a superposition state. Through analytical continuation
of the superposition parameter, we demonstrate that the transition matrix and
density matrix of the superposition state can be treated in a unified manner.
Within this framework, we naturally derive sum rules for the (reduced)
transition matrix, pseudo R\'enyi entropy, and pseudoentropy. Furthermore, we
demonstrate the close relationship between the sum rule for pseudoentropy and
the singularity structure of the entropy function for the superposition state
after analytical continuation. We also explore potential applications of the
sum rule, including its relevance to understanding the gravity dual of
non-Hermitian transition matrices and establishing upper bounds for the
absolute value of pseudoentropy.
|
[
{
"created": "Thu, 16 May 2024 01:03:21 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Jun 2024 05:31:52 GMT",
"version": "v2"
}
] |
2024-06-12
|
[
[
"Guo",
"Wu-zhong",
""
],
[
"Jiang",
"Yao-zong",
""
],
[
"Xu",
"Jin",
""
]
] |
In this paper, we establish a sum rule that connects the pseudoentropy and entanglement entropy of a superposition state. Through analytical continuation of the superposition parameter, we demonstrate that the transition matrix and density matrix of the superposition state can be treated in a unified manner. Within this framework, we naturally derive sum rules for the (reduced) transition matrix, pseudo R\'enyi entropy, and pseudoentropy. Furthermore, we demonstrate the close relationship between the sum rule for pseudoentropy and the singularity structure of the entropy function for the superposition state after analytical continuation. We also explore potential applications of the sum rule, including its relevance to understanding the gravity dual of non-Hermitian transition matrices and establishing upper bounds for the absolute value of pseudoentropy.
|
hep-th/9509117
|
Vladimir Visnic
|
Vladimir Visnjic (Temple University)
|
Strong coupling regime in two-dimensional large-N scalar quantum
chromodynamics
|
replaced with corrected PostScript file, otherwise unchanged
| null | null | null |
hep-th
| null |
Two-dimensional large-$N$ quantum chromodynamics with scalar quarks is
considered with particular emphasis on its strong coupling regime which has not
been studied so far. Techniques necessary to deal with the infinitely
oscillatory bound state wave functions in the strong coupling regime are
developed. I derive an estimate for the ground state mass and show that (1) the
lightest hadron in the theory is massless and (2) the ground state mass is
continuous across the transition between the weak and the strong coupling.
|
[
{
"created": "Thu, 21 Sep 1995 20:42:11 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Sep 1995 00:29:31 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Visnjic",
"Vladimir",
"",
"Temple University"
]
] |
Two-dimensional large-$N$ quantum chromodynamics with scalar quarks is considered with particular emphasis on its strong coupling regime which has not been studied so far. Techniques necessary to deal with the infinitely oscillatory bound state wave functions in the strong coupling regime are developed. I derive an estimate for the ground state mass and show that (1) the lightest hadron in the theory is massless and (2) the ground state mass is continuous across the transition between the weak and the strong coupling.
|
2308.08095
|
Peng Cheng
|
Peng Cheng
|
Circumventing the black hole hair-loss problem
|
6 pages, 3 figures, Matches version accepted for publication in PRD
| null |
10.1103/PhysRevD.108.066014
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We provide a possible way of avoiding the hair-loss problem by studying gauge
fluctuations on a classical Schwarzschild black hole background. The hair-loss
problem arises due to the small fidelity of reconstructing the interior
operator at the end stage of the evaporation, which is general in most schemes
trying to decouple the early and late radiation to avoid firewall. To
circumvent the problem, we put the black hole in a cavity as a toy model and
study the entropy behavior of the system with different temperatures. By
analyzing gauge fluctuations with nontrivial boundary conditions, we find that
the entropy of the black hole system increases at the end stage, rather than
directly dropping to zero. Besides the end stage, the entropy is the same as
Page's original argument. The hair-loss problem can be avoided by the proposed
model and we can gain important insights into the end stage of the evaporation
and quantum effects of gravity.
|
[
{
"created": "Wed, 16 Aug 2023 02:05:22 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Sep 2023 14:18:38 GMT",
"version": "v2"
}
] |
2023-09-21
|
[
[
"Cheng",
"Peng",
""
]
] |
We provide a possible way of avoiding the hair-loss problem by studying gauge fluctuations on a classical Schwarzschild black hole background. The hair-loss problem arises due to the small fidelity of reconstructing the interior operator at the end stage of the evaporation, which is general in most schemes trying to decouple the early and late radiation to avoid firewall. To circumvent the problem, we put the black hole in a cavity as a toy model and study the entropy behavior of the system with different temperatures. By analyzing gauge fluctuations with nontrivial boundary conditions, we find that the entropy of the black hole system increases at the end stage, rather than directly dropping to zero. Besides the end stage, the entropy is the same as Page's original argument. The hair-loss problem can be avoided by the proposed model and we can gain important insights into the end stage of the evaporation and quantum effects of gravity.
|
2306.15214
|
Dan Xie
|
Peng Shan, Dan Xie, Wenbin Yan
|
Mirror symmetry for circle compactified 4d $\mathcal{N}=2$ SCFTs
|
53 pages, 6 figures
| null | null | null |
hep-th math.QA math.RT
|
http://creativecommons.org/licenses/by/4.0/
|
We propose a mirror symmetry for 4d $\mathcal{N}=2$ superconformal field
theories (SCFTs) compactified on a circle with finite size. The mirror symmetry
involves vertex operator algebra (VOA) describing the Schur sector (containing
Higgs branch) of 4d theory, and the Coulomb branch of the effective 3d theory.
The basic feature of the mirror symmetry is that many representational
properties of VOA are matched with geometric properties of the Coulomb branch
moduli space. Our proposal is verified for a large class of Argyres-Douglas
(AD) theories engineered from M5 branes, whose VOAs are W-algebras, and Coulomb
branches are the Hitchin moduli spaces. VOA data such as simple modules, Zhu's
algebra, and modular properties are matched with geometric properties like
$\mathbb{C}^*$-fixed varieties in Hitchin fibers, cohomologies, and some DAHA
representations. We also mention relationships to 3d symplectic duality.
|
[
{
"created": "Tue, 27 Jun 2023 05:25:44 GMT",
"version": "v1"
}
] |
2023-06-28
|
[
[
"Shan",
"Peng",
""
],
[
"Xie",
"Dan",
""
],
[
"Yan",
"Wenbin",
""
]
] |
We propose a mirror symmetry for 4d $\mathcal{N}=2$ superconformal field theories (SCFTs) compactified on a circle with finite size. The mirror symmetry involves vertex operator algebra (VOA) describing the Schur sector (containing Higgs branch) of 4d theory, and the Coulomb branch of the effective 3d theory. The basic feature of the mirror symmetry is that many representational properties of VOA are matched with geometric properties of the Coulomb branch moduli space. Our proposal is verified for a large class of Argyres-Douglas (AD) theories engineered from M5 branes, whose VOAs are W-algebras, and Coulomb branches are the Hitchin moduli spaces. VOA data such as simple modules, Zhu's algebra, and modular properties are matched with geometric properties like $\mathbb{C}^*$-fixed varieties in Hitchin fibers, cohomologies, and some DAHA representations. We also mention relationships to 3d symplectic duality.
|
hep-th/0602141
|
Valentin V. Khoze
|
George Georgiou and Valentin V. Khoze
|
Instanton Calculations in the beta-deformed AdS/CFT Correspondence
|
v3: more detailed treatment of complex beta-deformations, 37 pages
|
JHEP0604:049,2006
|
10.1088/1126-6708/2006/04/049
| null |
hep-th hep-ph
| null |
We consider non-perturbative effects in the beta-deformed N=4 supersymmetric
gauge theory in the context of the AdS/CFT correspondence. We concentrate on
the correlators of the Yang-Mills operators which correspond to the lowest
Kaluza-Klein modes propagating on the dual supergravity background found by
Lunin and Maldacena in hep-th/0502086. In particular, we calculate all
multi-instanton contributions to these correlators in the beta-deformed SYM and
find a compelling agreement with the results expected in supergravity.
|
[
{
"created": "Tue, 14 Feb 2006 18:42:53 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Feb 2006 19:31:17 GMT",
"version": "v2"
},
{
"created": "Sat, 29 Apr 2006 10:51:48 GMT",
"version": "v3"
}
] |
2009-11-11
|
[
[
"Georgiou",
"George",
""
],
[
"Khoze",
"Valentin V.",
""
]
] |
We consider non-perturbative effects in the beta-deformed N=4 supersymmetric gauge theory in the context of the AdS/CFT correspondence. We concentrate on the correlators of the Yang-Mills operators which correspond to the lowest Kaluza-Klein modes propagating on the dual supergravity background found by Lunin and Maldacena in hep-th/0502086. In particular, we calculate all multi-instanton contributions to these correlators in the beta-deformed SYM and find a compelling agreement with the results expected in supergravity.
|
2207.13022
|
Rohan Poojary
|
Vinay Malvimat and Rohan R.Poojary
|
Fast Scrambling of Mutual Information in Kerr-AdS$_4$
|
21-pages, 4-figures
|
Phys. Rev. D 107, 026019 (2023)
|
10.1103/PhysRevD.107.026019
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We compute the disruption of mutual information between the hemispherical
subsystems on the left and right CFT$s$ of a Thermofield Double state described
by a Kerr geometry in $AdS_4$ due to shockwaves along the equatorial plane. The
shockwaves and the subsystems considered respect the axi-symmetry of the
geometry. At late times the disruption of the mutual information is given by
the lengthening of the HRT surface connecting the two subsystems, we compute
the minimum value of the Lyapunov index-$\lambda_L^{(min)}$ at late times and
find that it is bounded by $\kappa=\frac{2\pi T_H}{(1-\mu\, \mathcal{L})}$
where $\mu$ is the horizon velocity and $\mathcal{L}$ is the angular momentum
per unit energy of the shockwave. At very late times we find the the scrambling
time for such a system is governed by $\kappa$ with $\kappa t_*=\log
\mathcal{S}$ for large black holes with large entropy $\mathcal{S}$. We also
find a term that increases the scrambling time by
$\log(1-\mu\,\mathcal{L})^{-1}$ but which does not scale with the entropy of
the Kerr geometry.
|
[
{
"created": "Tue, 26 Jul 2022 16:34:46 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Oct 2022 15:23:17 GMT",
"version": "v2"
},
{
"created": "Mon, 10 Oct 2022 10:55:54 GMT",
"version": "v3"
}
] |
2023-02-15
|
[
[
"Malvimat",
"Vinay",
""
],
[
"Poojary",
"Rohan R.",
""
]
] |
We compute the disruption of mutual information between the hemispherical subsystems on the left and right CFT$s$ of a Thermofield Double state described by a Kerr geometry in $AdS_4$ due to shockwaves along the equatorial plane. The shockwaves and the subsystems considered respect the axi-symmetry of the geometry. At late times the disruption of the mutual information is given by the lengthening of the HRT surface connecting the two subsystems, we compute the minimum value of the Lyapunov index-$\lambda_L^{(min)}$ at late times and find that it is bounded by $\kappa=\frac{2\pi T_H}{(1-\mu\, \mathcal{L})}$ where $\mu$ is the horizon velocity and $\mathcal{L}$ is the angular momentum per unit energy of the shockwave. At very late times we find the the scrambling time for such a system is governed by $\kappa$ with $\kappa t_*=\log \mathcal{S}$ for large black holes with large entropy $\mathcal{S}$. We also find a term that increases the scrambling time by $\log(1-\mu\,\mathcal{L})^{-1}$ but which does not scale with the entropy of the Kerr geometry.
|
0810.3402
|
Benoit Vicedo
|
Benoit Vicedo
|
Finite-g Strings
|
PhD thesis, 339 pages, 69 figures
|
J. Phys. A: Math. Theor. 44 (2011) 124002
| null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In view of one day proving the AdS/CFT correspondence, a deeper understanding
of string theory on certain curved backgrounds such as AdS_5xS^5 is required.
In this dissertation we make a step in this direction by focusing on RxS^3. It
was discovered in recent years that string theory on AdS_5xS^5 admits a Lax
formulation. However, the complete statement of integrability requires not only
the existence of a Lax formulation, but also that the resulting integrals of
motion are in pairwise involution. This idea is central to the first part of
this thesis. Exploiting this integrability we apply algebro-geometric methods
to string theory on RxS^3 and obtain the general finite-gap solution. The
construction is based on an invariant algebraic curve previously found in the
AdS_5xS^5 case. However, encoding the dynamics of the solution requires
specification of additional marked points. By restricting the symplectic
structure of the string to this algebro-geometric data we derive the
action-angle variables of the system. We then perform a first-principle
semiclassical quantisation of string theory on RxS^3 as a toy model for strings
on AdS_5xS^5. The result is exactly what one expects from the dual gauge theory
perspective, namely the underlying algebraic curve discretises in a natural
way. We also derive a general formula for the fluctuation energies around the
generic finite-gap solution. The ideas used can be generalised to AdS_5xS^5.
|
[
{
"created": "Sun, 19 Oct 2008 14:39:55 GMT",
"version": "v1"
}
] |
2011-02-23
|
[
[
"Vicedo",
"Benoit",
""
]
] |
In view of one day proving the AdS/CFT correspondence, a deeper understanding of string theory on certain curved backgrounds such as AdS_5xS^5 is required. In this dissertation we make a step in this direction by focusing on RxS^3. It was discovered in recent years that string theory on AdS_5xS^5 admits a Lax formulation. However, the complete statement of integrability requires not only the existence of a Lax formulation, but also that the resulting integrals of motion are in pairwise involution. This idea is central to the first part of this thesis. Exploiting this integrability we apply algebro-geometric methods to string theory on RxS^3 and obtain the general finite-gap solution. The construction is based on an invariant algebraic curve previously found in the AdS_5xS^5 case. However, encoding the dynamics of the solution requires specification of additional marked points. By restricting the symplectic structure of the string to this algebro-geometric data we derive the action-angle variables of the system. We then perform a first-principle semiclassical quantisation of string theory on RxS^3 as a toy model for strings on AdS_5xS^5. The result is exactly what one expects from the dual gauge theory perspective, namely the underlying algebraic curve discretises in a natural way. We also derive a general formula for the fluctuation energies around the generic finite-gap solution. The ideas used can be generalised to AdS_5xS^5.
|
hep-th/0101035
|
Denis Dalmazi
|
D.Dalmazi and J.J.M. Verbaarschot
|
Virasoro Constraints and Flavor-Topology Duality in QCD
|
18 pages, minor corrections
|
Phys.Rev. D64 (2001) 054002
|
10.1103/PhysRevD.64.054002
|
suny-ntg-01/02
|
hep-th
| null |
We derive Virasoro constraints for the zero momentum part of the QCD-like
partition functions in the sector of topological charge $\nu$. The constraints
depend on the topological charge only through the combination $N_f +\beta\nu/2$
where the value of the Dyson index $\beta$ is determined by the reality type of
the fermions. This duality between flavor and topology is inherited by the
small-mass expansion of the partition function and {\em all} spectral sum-rules
of inverse powers of the eigenvalues of the Dirac operator. For the special
case $\beta=2$ but arbitrary topological charge the Virasoro constraints are
solved uniquely by a Generalized Kontsevich Model with potential ${\cal V}(X) =
1/X$.
|
[
{
"created": "Fri, 5 Jan 2001 20:18:51 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Jan 2001 14:25:20 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Dalmazi",
"D.",
""
],
[
"Verbaarschot",
"J. J. M.",
""
]
] |
We derive Virasoro constraints for the zero momentum part of the QCD-like partition functions in the sector of topological charge $\nu$. The constraints depend on the topological charge only through the combination $N_f +\beta\nu/2$ where the value of the Dyson index $\beta$ is determined by the reality type of the fermions. This duality between flavor and topology is inherited by the small-mass expansion of the partition function and {\em all} spectral sum-rules of inverse powers of the eigenvalues of the Dirac operator. For the special case $\beta=2$ but arbitrary topological charge the Virasoro constraints are solved uniquely by a Generalized Kontsevich Model with potential ${\cal V}(X) = 1/X$.
|
hep-th/0701062
|
Sergey Gavrilov P
|
S.P. Gavrilov, D.M. Gitman, and J.L. Tomazelli
|
Comments on spin operators and spin-polarization states of 2+1 fermions
|
6 pages
|
Eur.Phys.J. C39 (2005) 245-248
|
10.1140/epjc/s2004-02026-9
| null |
hep-th
| null |
In this brief article we discuss spin polarization operators and spin
polarization states of 2+1 massive Dirac fermions and find a convenient
representation by the help of 4-spinors for their description. We stress that
in particular the use of such a representation allows us to introduce the
conserved covariant spin operator in the 2+1 field theory. Another advantage of
this representation is related to the pseudoclassical limit of the theory.
Indeed, quantization of the pseudoclassical model of a spinning particle in 2+1
dimensions leads to the 4-spinor representation as the adequate realization of
the operator algebra, where the corresponding operator of a first-class
constraint, which cannot be gauged out by imposing the gauge condition, is just
the covariant operator previously introduced in the quantum theory.
|
[
{
"created": "Mon, 8 Jan 2007 20:56:36 GMT",
"version": "v1"
}
] |
2009-11-13
|
[
[
"Gavrilov",
"S. P.",
""
],
[
"Gitman",
"D. M.",
""
],
[
"Tomazelli",
"J. L.",
""
]
] |
In this brief article we discuss spin polarization operators and spin polarization states of 2+1 massive Dirac fermions and find a convenient representation by the help of 4-spinors for their description. We stress that in particular the use of such a representation allows us to introduce the conserved covariant spin operator in the 2+1 field theory. Another advantage of this representation is related to the pseudoclassical limit of the theory. Indeed, quantization of the pseudoclassical model of a spinning particle in 2+1 dimensions leads to the 4-spinor representation as the adequate realization of the operator algebra, where the corresponding operator of a first-class constraint, which cannot be gauged out by imposing the gauge condition, is just the covariant operator previously introduced in the quantum theory.
|
1511.03471
|
Maxim Zabzine
|
Anton Nedelin and Maxim Zabzine
|
q-Virasoro constraints in matrix models
|
20 pages, typos corrected and refs added
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Virasoro constraints play the important role in the study of matrix
models and in understanding of the relation between matrix models and CFTs.
Recently the localization calculations in supersymmetric gauge theories
produced new families of matrix models and we have very limited knowledge about
these matrix models. We concentrate on elliptic generalization of hermitian
matrix model which corresponds to calculation of partition function on $S^3
\times S^1$ for vector multiplet. We derive the $q$-Virasoro constraints for
this matrix model. We also observe some interesting algebraic properties of the
$q$-Virasoro algebra.
|
[
{
"created": "Wed, 11 Nov 2015 12:12:45 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Dec 2015 20:13:18 GMT",
"version": "v2"
}
] |
2015-12-03
|
[
[
"Nedelin",
"Anton",
""
],
[
"Zabzine",
"Maxim",
""
]
] |
The Virasoro constraints play the important role in the study of matrix models and in understanding of the relation between matrix models and CFTs. Recently the localization calculations in supersymmetric gauge theories produced new families of matrix models and we have very limited knowledge about these matrix models. We concentrate on elliptic generalization of hermitian matrix model which corresponds to calculation of partition function on $S^3 \times S^1$ for vector multiplet. We derive the $q$-Virasoro constraints for this matrix model. We also observe some interesting algebraic properties of the $q$-Virasoro algebra.
|
2406.16339
|
S. Prem Kumar
|
Timothy J. Hollowood, S. Prem Kumar and Luke C. Piper
|
Replica R\'enyi Wormholes and Generalised Modular Entropy in JT Gravity
|
47 pages, 8 figures
| null | null | null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We consider the problem of computing semi-classical R\'enyi entropies of CFT
on AdS$_2$ backgrounds in JT gravity with nongravitating baths, for general
replica number $n$. Away from the $n\to 1$ limit, the backreaction of the CFT
twist fields on the geometry is nontrivial. For one twist field insertion and
general $n$, we show that the quantum extremal surface (QES) condition involves
extremisation of the generalised modular entropy, consistent with Dong's
generalisation of the Ryu-Takayanagi formula for general $n$. For multiple QES
we describe replica wormhole geometries using the theory of Fuchsian
uniformisation, explicitly working out the analytically tractable case of the
$n=2$ double trumpet wormhole geometry. We determine the off-shell dependence
of the gravitational action on the QES locations and boundary map. In a
factorisation limit, corresponding to late times, we are able to relate this
action functional to area terms given by the value of the JT dilaton at the
(off-shell) QES locations, with computable corrections. Applied to the
two-sided eternal black hole, we find the $n$-dependent Page times for R\'enyi
enropies in the high temperature limit.
|
[
{
"created": "Mon, 24 Jun 2024 06:23:54 GMT",
"version": "v1"
}
] |
2024-06-25
|
[
[
"Hollowood",
"Timothy J.",
""
],
[
"Kumar",
"S. Prem",
""
],
[
"Piper",
"Luke C.",
""
]
] |
We consider the problem of computing semi-classical R\'enyi entropies of CFT on AdS$_2$ backgrounds in JT gravity with nongravitating baths, for general replica number $n$. Away from the $n\to 1$ limit, the backreaction of the CFT twist fields on the geometry is nontrivial. For one twist field insertion and general $n$, we show that the quantum extremal surface (QES) condition involves extremisation of the generalised modular entropy, consistent with Dong's generalisation of the Ryu-Takayanagi formula for general $n$. For multiple QES we describe replica wormhole geometries using the theory of Fuchsian uniformisation, explicitly working out the analytically tractable case of the $n=2$ double trumpet wormhole geometry. We determine the off-shell dependence of the gravitational action on the QES locations and boundary map. In a factorisation limit, corresponding to late times, we are able to relate this action functional to area terms given by the value of the JT dilaton at the (off-shell) QES locations, with computable corrections. Applied to the two-sided eternal black hole, we find the $n$-dependent Page times for R\'enyi enropies in the high temperature limit.
|
2302.07737
|
Stuart Dowker
|
J. S. Dowker
|
Note on an improved classical limit of Clebsch-Gordan coefficients
|
7 pages. 3 figs. Error corrected. Graph and comments added regarding
choice of angle
| null | null | null |
hep-th quant-ph
|
http://creativecommons.org/licenses/by/4.0/
|
A symmetrising shift employed by Frenkel and Hartnoll in the approximate
computation of the elements of matrix spherical harmonics is further explored
and shown to be related to the permutation symmetry of 3-j symbols yielding an
extension of the Edmonds classical limit. Some graphs are displayed.
|
[
{
"created": "Wed, 15 Feb 2023 15:37:59 GMT",
"version": "v1"
},
{
"created": "Sun, 19 Feb 2023 17:09:31 GMT",
"version": "v2"
}
] |
2023-02-21
|
[
[
"Dowker",
"J. S.",
""
]
] |
A symmetrising shift employed by Frenkel and Hartnoll in the approximate computation of the elements of matrix spherical harmonics is further explored and shown to be related to the permutation symmetry of 3-j symbols yielding an extension of the Edmonds classical limit. Some graphs are displayed.
|
1409.6764
|
Peter Sloane
|
Peter Sloane
|
$\mathcal{N}=2$ dilaton-Weyl multiplets in 5D and Nishino-Rajpoot
supergravity off-shell
|
v2 1+35 pages. more references, fewer typos. To appear in JHEP
|
JHEP04(2015)062
|
10.1007/JHEP04(2015)062
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We describe in detail the derivation of a superconformal off-shell
formulation of the alternative $\mathcal{N}=2$, $d=5$ ungauged supergravity of
Nishino and Rajpoot, coupled to $n$ Abelian vector multiplets, using a general
dilaton-Weyl multiplet. We generalize the vector multiplet coupling available
in the literature and show under which assumptions that the scalar manifold
reduces to the known case of SO(1,1) $\times$ SO(1,n)/SO(n). As an application
of the formalism we propose generalized vector multiplet coupled higher
curvature terms, whose construction we sketch briefly.
|
[
{
"created": "Tue, 23 Sep 2014 22:07:25 GMT",
"version": "v1"
},
{
"created": "Sat, 21 Mar 2015 01:00:12 GMT",
"version": "v2"
}
] |
2015-04-21
|
[
[
"Sloane",
"Peter",
""
]
] |
We describe in detail the derivation of a superconformal off-shell formulation of the alternative $\mathcal{N}=2$, $d=5$ ungauged supergravity of Nishino and Rajpoot, coupled to $n$ Abelian vector multiplets, using a general dilaton-Weyl multiplet. We generalize the vector multiplet coupling available in the literature and show under which assumptions that the scalar manifold reduces to the known case of SO(1,1) $\times$ SO(1,n)/SO(n). As an application of the formalism we propose generalized vector multiplet coupled higher curvature terms, whose construction we sketch briefly.
|
hep-th/9510025
| null |
Marcello Ciafaloni
|
k-Factorization
|
Latex file, 9 pages
| null | null |
CERN Preprint 95-237
|
hep-th
| null |
I review the k-factorization method to combine the high-energy behaviour in
QCD with the renormalization group. Resummation formulas for coefficient
functions and anomalous dimensions are derived, and their applications to
small-x scaling violations in structure functions are briefly discussed.
|
[
{
"created": "Fri, 6 Oct 1995 14:26:39 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Ciafaloni",
"Marcello",
""
]
] |
I review the k-factorization method to combine the high-energy behaviour in QCD with the renormalization group. Resummation formulas for coefficient functions and anomalous dimensions are derived, and their applications to small-x scaling violations in structure functions are briefly discussed.
|
hep-th/9403009
|
Jan Govaerts
|
Jan Govaerts and Maher S. Rashid
|
The Hamiltonian Formulation of Higher Order Dynamical Systems
|
17 pages. Revised: references added
| null | null | null |
hep-th math-ph math.MP
| null |
Using Dirac's approach to constrained dynamics, the Hamiltonian formulation
of regular higher order Lagrangians is developed. The conventional description
of such systems due to Ostrogradsky is recovered. However, unlike the latter,
the present analysis yields in a transparent manner the local structure of the
associated phase space and its local sympletic geometry, and is of direct
application to {\em constrained\/} higher order Lagrangian systems which are
beyond the scope of Ostrogradsky's approach.
|
[
{
"created": "Wed, 2 Mar 1994 13:22:10 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Mar 1994 08:03:42 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Govaerts",
"Jan",
""
],
[
"Rashid",
"Maher S.",
""
]
] |
Using Dirac's approach to constrained dynamics, the Hamiltonian formulation of regular higher order Lagrangians is developed. The conventional description of such systems due to Ostrogradsky is recovered. However, unlike the latter, the present analysis yields in a transparent manner the local structure of the associated phase space and its local sympletic geometry, and is of direct application to {\em constrained\/} higher order Lagrangian systems which are beyond the scope of Ostrogradsky's approach.
|
1512.03061
|
Yasuyuki Hatsuda
|
Sebastian Franco, Yasuyuki Hatsuda, Marcos Marino
|
Exact quantization conditions for cluster integrable systems
|
27 pages, v2: published version
| null |
10.1088/1742-5468/2016/06/063107
| null |
hep-th math-ph math.MP math.SP nlin.SI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose exact quantization conditions for the quantum integrable systems
of Goncharov and Kenyon, based on the enumerative geometry of the corresponding
toric Calabi-Yau manifolds. Our conjecture builds upon recent results on the
quantization of mirror curves, and generalizes a previous proposal for the
quantization of the relativistic Toda lattice. We present explicit tests of our
conjecture for the integrable systems associated to the resolved C^3/Z_5 and
C^3/Z_6 orbifolds.
|
[
{
"created": "Wed, 9 Dec 2015 21:00:05 GMT",
"version": "v1"
},
{
"created": "Sat, 4 Jun 2016 10:12:09 GMT",
"version": "v2"
}
] |
2016-08-03
|
[
[
"Franco",
"Sebastian",
""
],
[
"Hatsuda",
"Yasuyuki",
""
],
[
"Marino",
"Marcos",
""
]
] |
We propose exact quantization conditions for the quantum integrable systems of Goncharov and Kenyon, based on the enumerative geometry of the corresponding toric Calabi-Yau manifolds. Our conjecture builds upon recent results on the quantization of mirror curves, and generalizes a previous proposal for the quantization of the relativistic Toda lattice. We present explicit tests of our conjecture for the integrable systems associated to the resolved C^3/Z_5 and C^3/Z_6 orbifolds.
|
hep-th/9206006
|
Konstadinos Sfetsos
|
I. Bars and K. Sfetsos
|
Conformally Exact Metric and Dilaton in String Theory on Curved
Spacetime
|
USC-92/HEP-B2, 19 pages and 3 figures
|
Phys. Rev. D 46, 4510 (1992)
|
10.1103/PhysRevD.46.4510
| null |
hep-th
| null |
Using a Hamiltonian approach to gauged WZW models, we present a general
method for computing the conformally exact metric and dilaton, to all orders in
the $1/k$ expansion, for any bosonic, heterotic, or type-II superstring model
based on a coset $G/H$. We prove the following relations: (i) For type-II
superstrings the conformally exact metric and dilaton are identical to those of
the non-supersymmetric {\it semi-classical} bosonic model except for an overall
renormalization of the metric obtained by $k\to k- g$. (ii) The exact
expressions for the heterotic superstring are derived from their exact bosonic
string counterparts by shifting the central extension $k\to 2k-h$ (but an
overall factor $(k-g)$ remains unshifted). (iii) The combination
$e^\Phi\sqrt{-G}$ is independent of $k$ and therefore can be computed in lowest
order perturbation theory as required by the correct formulation of a
conformally invariant path integral measure. The general formalism is applied
to the coset models $SO(d-1,2)_{-k}/SO(d-1,1)_{-k}$ that are relevant for
string theory on curved spacetime. Explicit expressions for the conformally
exact metric and dilaton for the cases $d=2,3,4$ are given. In the
semiclassical limit $(k\to \infty)$ our results agree with those obtained with
the Lagrangian method up to 1-loop in perturbation theory.
|
[
{
"created": "Tue, 2 Jun 1992 00:32:06 GMT",
"version": "v1"
}
] |
2013-11-13
|
[
[
"Bars",
"I.",
""
],
[
"Sfetsos",
"K.",
""
]
] |
Using a Hamiltonian approach to gauged WZW models, we present a general method for computing the conformally exact metric and dilaton, to all orders in the $1/k$ expansion, for any bosonic, heterotic, or type-II superstring model based on a coset $G/H$. We prove the following relations: (i) For type-II superstrings the conformally exact metric and dilaton are identical to those of the non-supersymmetric {\it semi-classical} bosonic model except for an overall renormalization of the metric obtained by $k\to k- g$. (ii) The exact expressions for the heterotic superstring are derived from their exact bosonic string counterparts by shifting the central extension $k\to 2k-h$ (but an overall factor $(k-g)$ remains unshifted). (iii) The combination $e^\Phi\sqrt{-G}$ is independent of $k$ and therefore can be computed in lowest order perturbation theory as required by the correct formulation of a conformally invariant path integral measure. The general formalism is applied to the coset models $SO(d-1,2)_{-k}/SO(d-1,1)_{-k}$ that are relevant for string theory on curved spacetime. Explicit expressions for the conformally exact metric and dilaton for the cases $d=2,3,4$ are given. In the semiclassical limit $(k\to \infty)$ our results agree with those obtained with the Lagrangian method up to 1-loop in perturbation theory.
|
hep-th/0005111
|
Yutaka Matsuo
|
Hiroyuki Fuji and Yutaka Matsuo
|
Open String on Symmetric Product
|
56 pages, 11 figures, Latex
|
Int.J.Mod.Phys. A16 (2001) 557-608
|
10.1142/S0217751X01003020
|
UT-888
|
hep-th
| null |
We develop some basic properties of the open string on the symmetric product
which is supposed to describe the open string field theory in discrete
lightcone quantization (DLCQ). After preparing the consistency conditions of
the twisted boundary conditions for Annulus/M\"obius/Klein Bottle amplitudes in
generic non-abelian orbifold, we classify the most general solutions of the
constraints when the discrete group is $S_N$. We calculate the corresponding
orbifold amplitudes from two viewpoints -- from the boundary state formalism
and from the trace over the open string Hilbert space. It is shown that the
topology of the world sheet for the short string and that of the long string in
general do not coincide. For example the annulus sector for the short string
contains all the sectors (torus, annulus, Klein bottle, M\"obius strip) of the
long strings. The boundary/cross-cap states of the short strings are classified
into three categories in terms of the long string, the ordinary boundary and
the cross-cap states, and the ``joint'' state which describes the connection of
two short strings. We show that the sum of the all possible boundary conditions
is equal to the exponential of the sum of the irreducible amplitude -- one body
amplitude of long open (closed) strings. This is typical structure of DLCQ
partition function. We examined that the tadpole cancellation condition in our
language and derived the well-known gauge group $SO(2^{13})$.
|
[
{
"created": "Fri, 12 May 2000 03:01:29 GMT",
"version": "v1"
},
{
"created": "Sun, 14 May 2000 07:46:35 GMT",
"version": "v2"
}
] |
2016-12-21
|
[
[
"Fuji",
"Hiroyuki",
""
],
[
"Matsuo",
"Yutaka",
""
]
] |
We develop some basic properties of the open string on the symmetric product which is supposed to describe the open string field theory in discrete lightcone quantization (DLCQ). After preparing the consistency conditions of the twisted boundary conditions for Annulus/M\"obius/Klein Bottle amplitudes in generic non-abelian orbifold, we classify the most general solutions of the constraints when the discrete group is $S_N$. We calculate the corresponding orbifold amplitudes from two viewpoints -- from the boundary state formalism and from the trace over the open string Hilbert space. It is shown that the topology of the world sheet for the short string and that of the long string in general do not coincide. For example the annulus sector for the short string contains all the sectors (torus, annulus, Klein bottle, M\"obius strip) of the long strings. The boundary/cross-cap states of the short strings are classified into three categories in terms of the long string, the ordinary boundary and the cross-cap states, and the ``joint'' state which describes the connection of two short strings. We show that the sum of the all possible boundary conditions is equal to the exponential of the sum of the irreducible amplitude -- one body amplitude of long open (closed) strings. This is typical structure of DLCQ partition function. We examined that the tadpole cancellation condition in our language and derived the well-known gauge group $SO(2^{13})$.
|
1405.2895
|
Michelangelo Preti
|
Marisa Bonini, Luca Griguolo and Michelangelo Preti
|
Correlators of chiral primaries and 1/8 BPS Wilson loops from
perturbation theory
|
30 pages, 13 figures
| null |
10.1007/JHEP09(2014)083
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study at perturbative level the correlation functions of a general class
of 1/8 BPS Wilson loops and chiral primaries in N = 4 Super Yang-Mills theory.
The contours and the location of operator insertions share a sphere S^2
embedded into spacetime and the system preserves at least two supercharges. We
perform explicit two-loop computations, for some particular but still rather
general configuration, that confirm the elegant results expected from
localization procedure. We find notably full consistency with the multi-matrix
model averages, obtained from 2D Yang-Mills theory on the sphere, when
interacting diagrams do not cancel and contribute non-trivially to the final
answer.
|
[
{
"created": "Mon, 12 May 2014 19:59:18 GMT",
"version": "v1"
}
] |
2015-06-19
|
[
[
"Bonini",
"Marisa",
""
],
[
"Griguolo",
"Luca",
""
],
[
"Preti",
"Michelangelo",
""
]
] |
We study at perturbative level the correlation functions of a general class of 1/8 BPS Wilson loops and chiral primaries in N = 4 Super Yang-Mills theory. The contours and the location of operator insertions share a sphere S^2 embedded into spacetime and the system preserves at least two supercharges. We perform explicit two-loop computations, for some particular but still rather general configuration, that confirm the elegant results expected from localization procedure. We find notably full consistency with the multi-matrix model averages, obtained from 2D Yang-Mills theory on the sphere, when interacting diagrams do not cancel and contribute non-trivially to the final answer.
|
hep-th/0001035
|
Nathan Jacob Berkovits
|
Nathan Berkovits (IFT/UNESP, Sao Paulo)
|
Super-Poincare Covariant Quantization of the Superstring
|
Improved proof that amplitudes are supersymmetric, simplified AdS_5
action, and corrected typos
|
JHEP 0004:018,2000
|
10.1088/1126-6708/2000/04/018
|
IFT-P.005/2000
|
hep-th
| null |
Using pure spinors, the superstring is covariantly quantized. For the first
time, massless vertex operators are constructed and scattering amplitudes are
computed in a manifestly ten-dimensional super-Poincar\'e covariant manner.
Quantizable non-linear sigma model actions are constructed for the superstring
in curved backgrounds, including the $AdS_5\times S^5$ background with
Ramond-Ramond flux.
|
[
{
"created": "Fri, 7 Jan 2000 22:23:49 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Jan 2000 14:15:33 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Berkovits",
"Nathan",
"",
"IFT/UNESP, Sao Paulo"
]
] |
Using pure spinors, the superstring is covariantly quantized. For the first time, massless vertex operators are constructed and scattering amplitudes are computed in a manifestly ten-dimensional super-Poincar\'e covariant manner. Quantizable non-linear sigma model actions are constructed for the superstring in curved backgrounds, including the $AdS_5\times S^5$ background with Ramond-Ramond flux.
|
hep-th/9703125
|
Gennaro Miele
|
Lara De Nardo, Dmitri V. Fursaev and Gennaro Miele
|
Finite Temperature Effective Potential for Gauge Models in de Sitter
Space
|
23 pages, LaTeX, 5 figure.eps
|
Class.Quant.Grav. 14 (1997) 3269-3286
|
10.1088/0264-9381/14/12/012
|
ALBERTA-THY 06-97, DSF-T-2/97
|
hep-th gr-qc
| null |
The one-loop effective potential for gauge models in static de Sitter space
at finite temperatures is computed by means of the $\zeta$--function method. We
found a simple relation which links the effective potentials of gauge and
scalar fields at all temperatures.
In the de Sitter invariant and zero-temperature states the potential for the
scalar electrodynamics is explicitly obtained, and its properties in these two
vacua are compared. In this theory the two states are shown to behave similarly
in the regimes of very large and very small radii a of the background space.
For the gauge symmetry broken in the flat limit ($a \to \infty$) there is a
critical value of a for which the symmetry is restored in both quantum states.
Moreover, the phase transitions which occur at large or at small a are of the
first or of the second order, respectively, regardless the vacuum considered.
The analytical and numerical analysis of the critical parameters of the above
theory is performed. We also established a class of models for which the kind
of phase transition occurring depends on the choice of the vacuum.
|
[
{
"created": "Tue, 18 Mar 1997 09:02:46 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"De Nardo",
"Lara",
""
],
[
"Fursaev",
"Dmitri V.",
""
],
[
"Miele",
"Gennaro",
""
]
] |
The one-loop effective potential for gauge models in static de Sitter space at finite temperatures is computed by means of the $\zeta$--function method. We found a simple relation which links the effective potentials of gauge and scalar fields at all temperatures. In the de Sitter invariant and zero-temperature states the potential for the scalar electrodynamics is explicitly obtained, and its properties in these two vacua are compared. In this theory the two states are shown to behave similarly in the regimes of very large and very small radii a of the background space. For the gauge symmetry broken in the flat limit ($a \to \infty$) there is a critical value of a for which the symmetry is restored in both quantum states. Moreover, the phase transitions which occur at large or at small a are of the first or of the second order, respectively, regardless the vacuum considered. The analytical and numerical analysis of the critical parameters of the above theory is performed. We also established a class of models for which the kind of phase transition occurring depends on the choice of the vacuum.
|
hep-th/0102115
|
Romanenko
|
N. Chepilko (Physics Institute of the Ukrainian Academy of Sciences),
A. Romanenko (Kiev Taras Shevtchenko University)
|
Quantum mechanics on Riemannian Manifold in Schwinger's Quantization
Approach II
|
18pages, no figures, LaTeX
|
Eur.Phys.J.C21:587-595,2001
|
10.1007/s100520100713
| null |
hep-th
| null |
Extended Schwinger's quantization procedure is used for constructing quantum
mechanics on a manifold with a group structure. The considered manifold $M$ is
a homogeneous Riemannian space with the given action of isometry transformation
group. Using the identification of $M$ with the quotient space $G/H$, where $H$
is the isotropy group of an arbitrary fixed point of $M$, we show that quantum
mechanics on $G/H$ possesses a gauge structure, described by the gauge
potential that is the connection 1-form of the principal fiber bundle $G(G/H,
H)$. The coordinate representation of quantum mechanics and the procedure for
selecting the physical sector of states are developed.
|
[
{
"created": "Mon, 19 Feb 2001 15:01:43 GMT",
"version": "v1"
}
] |
2009-01-07
|
[
[
"Chepilko",
"N.",
"",
"Physics Institute of the Ukrainian Academy of Sciences"
],
[
"Romanenko",
"A.",
"",
"Kiev Taras Shevtchenko University"
]
] |
Extended Schwinger's quantization procedure is used for constructing quantum mechanics on a manifold with a group structure. The considered manifold $M$ is a homogeneous Riemannian space with the given action of isometry transformation group. Using the identification of $M$ with the quotient space $G/H$, where $H$ is the isotropy group of an arbitrary fixed point of $M$, we show that quantum mechanics on $G/H$ possesses a gauge structure, described by the gauge potential that is the connection 1-form of the principal fiber bundle $G(G/H, H)$. The coordinate representation of quantum mechanics and the procedure for selecting the physical sector of states are developed.
|
hep-th/9609066
|
Takahiro Masuda
|
Takahiro Masuda and Hisao Suzuki (Hokkaido University)
|
Periods and Prepotential of N=2 SU(2) Supersymmetric Yang-Mills Theory
with Massive Hypermultiplets
|
21 pages, LaTeX
|
Int.J.Mod.Phys. A12 (1997) 3413-3431
|
10.1142/S0217751X97001791
|
EPHOU 96-005
|
hep-th
| null |
We derive a simple formula for the periods associated with the low energy
effective action of $N=2$ supersymmetric $SU(2)$ Yang-Mills theory with massive
$N_f\le 3$ hypermultiplets. This is given by evaluating explicitly the integral
associated to the elliptic curve using various identities of hypergeometric
functions. Following this formalism, we can calculate the prepotential with
massive hypermultiplets both in the weak coupling region and in the strong
coupling region. In particular, we show how the Higgs field and its dual field
are expressed as generalized hypergeometric functions when the theory has a
conformal point.
|
[
{
"created": "Mon, 9 Sep 1996 07:02:52 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Sep 1996 04:42:55 GMT",
"version": "v2"
}
] |
2016-09-06
|
[
[
"Masuda",
"Takahiro",
"",
"Hokkaido University"
],
[
"Suzuki",
"Hisao",
"",
"Hokkaido University"
]
] |
We derive a simple formula for the periods associated with the low energy effective action of $N=2$ supersymmetric $SU(2)$ Yang-Mills theory with massive $N_f\le 3$ hypermultiplets. This is given by evaluating explicitly the integral associated to the elliptic curve using various identities of hypergeometric functions. Following this formalism, we can calculate the prepotential with massive hypermultiplets both in the weak coupling region and in the strong coupling region. In particular, we show how the Higgs field and its dual field are expressed as generalized hypergeometric functions when the theory has a conformal point.
|
1311.1808
|
Andre Lehum
|
A. C. Lehum
|
Gravitational corrections to the scattering of scalar particles
|
15 pages, 2 figures
|
Phys. Rev. D88, 104030 (2013)
|
10.1103/PhysRevD.88.104030
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We evaluated the scattering amplitude of neutral scalar particles at one-loop
order in the context of effective field theory of quantum gravity in the
presence of a cosmological constant. Our study suggests that quantum
gravitational corrections induce an asymptotic freedom behavior to the
$\lambda\phi^4$ theory, for a positive cosmological constant. This result hints
that a complete theory of quantum gravity can play an important role to avoid
the issue of triviality in quantum field theory.
|
[
{
"created": "Thu, 7 Nov 2013 20:56:00 GMT",
"version": "v1"
}
] |
2013-12-02
|
[
[
"Lehum",
"A. C.",
""
]
] |
We evaluated the scattering amplitude of neutral scalar particles at one-loop order in the context of effective field theory of quantum gravity in the presence of a cosmological constant. Our study suggests that quantum gravitational corrections induce an asymptotic freedom behavior to the $\lambda\phi^4$ theory, for a positive cosmological constant. This result hints that a complete theory of quantum gravity can play an important role to avoid the issue of triviality in quantum field theory.
|
1011.1249
|
Oliver Schlotterer
|
D. Haertl, O. Schlotterer
|
Higher Loop Spin Field Correlators in Various Dimensions
|
47 pages, 1 figure; v2: typos corrected; submitted to JHEP
|
Nucl.Phys.B849:364-409,2011
|
10.1016/j.nuclphysb.2011.03.022
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute higher-point superstring correlators involving spin fields in
various even space-time dimensions D at tree-level and to arbitrary loop order.
This generalizes previous work in D=4 space-time dimensions. The main focus are
D=6,8 and D=10 superstring compactifications for which correlation functions
with four and more spin fields are computed. More precisely, we present every
non-vanishing six-point function. A number of results can even be derived for
arbitrary D. A closed formula for the correlators <psi ... psi SS> with any
number of fermions psi and two spin fields S in D space-time dimensions is
given for arbitrary genus. Moreover, in D=6 and for arbitrary genus, we find a
general formula for the correlators <S dot S ... S dot S>. The latter serve as
basic building blocks to construct higher-point fermionic correlation
functions. In D=8 we can profit from the SO(8)-triality to derive further
tree-level correlators with a large numbers of spin fields.
|
[
{
"created": "Thu, 4 Nov 2010 19:50:38 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Dec 2010 17:33:29 GMT",
"version": "v2"
}
] |
2011-06-15
|
[
[
"Haertl",
"D.",
""
],
[
"Schlotterer",
"O.",
""
]
] |
We compute higher-point superstring correlators involving spin fields in various even space-time dimensions D at tree-level and to arbitrary loop order. This generalizes previous work in D=4 space-time dimensions. The main focus are D=6,8 and D=10 superstring compactifications for which correlation functions with four and more spin fields are computed. More precisely, we present every non-vanishing six-point function. A number of results can even be derived for arbitrary D. A closed formula for the correlators <psi ... psi SS> with any number of fermions psi and two spin fields S in D space-time dimensions is given for arbitrary genus. Moreover, in D=6 and for arbitrary genus, we find a general formula for the correlators <S dot S ... S dot S>. The latter serve as basic building blocks to construct higher-point fermionic correlation functions. In D=8 we can profit from the SO(8)-triality to derive further tree-level correlators with a large numbers of spin fields.
|
1506.09141
|
Mauricio Bellini
|
Luis Santiago Ridao, Mauricio Bellini (IFIMAR - UNMdP & CONICET)
|
Towards relativistic quantum geometry
|
9 pages, no figures, improved version
| null |
10.1016/j.physletb.2015.11.032
| null |
hep-th astro-ph.HE gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We obtain a gauge-invariant relativistic quantum geometry by using a
Weylian-like manifold with a geometric scalar field which provides a
gauge-invariant relativistic quantum theory in which the algebra of the
Weylian-like field depends on observers. An example for a Reissner-Nordstr\"om
black-hole is studied.
|
[
{
"created": "Tue, 30 Jun 2015 16:15:15 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Oct 2015 19:50:56 GMT",
"version": "v2"
}
] |
2015-11-18
|
[
[
"Ridao",
"Luis Santiago",
"",
"IFIMAR - UNMdP & CONICET"
],
[
"Bellini",
"Mauricio",
"",
"IFIMAR - UNMdP & CONICET"
]
] |
We obtain a gauge-invariant relativistic quantum geometry by using a Weylian-like manifold with a geometric scalar field which provides a gauge-invariant relativistic quantum theory in which the algebra of the Weylian-like field depends on observers. An example for a Reissner-Nordstr\"om black-hole is studied.
|
1511.06245
|
Mario Trigiante
|
P. Fre', P.A. Grassi, L. Ravera, M. Trigiante
|
Minimal $D=7$ Supergravity and the supersymmetry of Arnold-Beltrami Flux
branes
|
56 pages, LaTeX source, 8 jpg figures, typos corrected
|
JHEP 1606 (2016) 018
|
10.1007/JHEP06(2016)018
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we study some properties of the newly found Arnold-Beltrami
flux-brane solutions to the minimal $D=7$ supergravity. To this end we first
single out the appropriate Free Differential Algebra containing both a gauge
$3$-form $\mathbf{B}^{[3]}$ and a gauge $2$-form $\mathbf{B}^{[2]}$: then we
present the complete rheonomic parametrization of all the generalized
curvatures. This allows us to identify two-brane configurations with
Arnold-Beltrami fluxes in the transverse space with exact solutions of
supergravity and to analyze the Killing spinor equation in their background. We
find that there is no preserved supersymmetry if there are no additional
translational Killing vectors. Guided by this principle we explicitly construct
Arnold-Beltrami flux two-branes that preserve $0$, $1/8$ and $1/4$ of the
original supersymmetry. Two-branes without fluxes are instead BPS states and
preserve $1/2$ supersymmetry. For each two-brane solution we carefully study
its discrete symmetry that is always given by some appropriate crystallographic
group $\Gamma$. Such symmetry groups $\Gamma$ are transmitted to the $D=3$
gauge theories on the brane world--volume that occur in the gauge/gravity
correspondence. Furthermore we illustrate the intriguing relation between gauge
fluxes in two-brane solutions and hyperinstantons in $D=4$ topological
sigma-models.
|
[
{
"created": "Thu, 19 Nov 2015 16:43:24 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Dec 2015 08:34:46 GMT",
"version": "v2"
}
] |
2017-06-28
|
[
[
"Fre'",
"P.",
""
],
[
"Grassi",
"P. A.",
""
],
[
"Ravera",
"L.",
""
],
[
"Trigiante",
"M.",
""
]
] |
In this paper we study some properties of the newly found Arnold-Beltrami flux-brane solutions to the minimal $D=7$ supergravity. To this end we first single out the appropriate Free Differential Algebra containing both a gauge $3$-form $\mathbf{B}^{[3]}$ and a gauge $2$-form $\mathbf{B}^{[2]}$: then we present the complete rheonomic parametrization of all the generalized curvatures. This allows us to identify two-brane configurations with Arnold-Beltrami fluxes in the transverse space with exact solutions of supergravity and to analyze the Killing spinor equation in their background. We find that there is no preserved supersymmetry if there are no additional translational Killing vectors. Guided by this principle we explicitly construct Arnold-Beltrami flux two-branes that preserve $0$, $1/8$ and $1/4$ of the original supersymmetry. Two-branes without fluxes are instead BPS states and preserve $1/2$ supersymmetry. For each two-brane solution we carefully study its discrete symmetry that is always given by some appropriate crystallographic group $\Gamma$. Such symmetry groups $\Gamma$ are transmitted to the $D=3$ gauge theories on the brane world--volume that occur in the gauge/gravity correspondence. Furthermore we illustrate the intriguing relation between gauge fluxes in two-brane solutions and hyperinstantons in $D=4$ topological sigma-models.
|
1212.6748
|
Shin Sasaki
|
Masato Arai, Shin Sasaki
|
Non-Abelian Gauge Groups and Hypermultiplets in Projective Superspaces
|
25 pages, typos corrected, version published in JHEP
|
JHEP 1303 (2013) 174
|
10.1007/JHEP03(2013)174
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct off-shell superconformal actions of hypermultiplets coupled with
non-Abelian gauge multiplets in three-dimensional N = 3 and N = 4 projective
superspaces. We establish the explicit embeddings of the N = 2 vector and
adjoint chiral superfields, that constitute the N = 4 gauge multiplets, into
the tropical multiplets. We also construct the action in the four-dimensional N
= 2 projective superspace.
|
[
{
"created": "Sun, 30 Dec 2012 17:14:04 GMT",
"version": "v1"
},
{
"created": "Sat, 13 Apr 2013 06:09:37 GMT",
"version": "v2"
}
] |
2015-06-12
|
[
[
"Arai",
"Masato",
""
],
[
"Sasaki",
"Shin",
""
]
] |
We construct off-shell superconformal actions of hypermultiplets coupled with non-Abelian gauge multiplets in three-dimensional N = 3 and N = 4 projective superspaces. We establish the explicit embeddings of the N = 2 vector and adjoint chiral superfields, that constitute the N = 4 gauge multiplets, into the tropical multiplets. We also construct the action in the four-dimensional N = 2 projective superspace.
|
2403.15536
|
Leah Jenks
|
Christian Capanelli, Leah Jenks, Edward W. Kolb, Evan McDonough
|
Runaway Gravitational Production of Dark Photons
|
6 pages, 2 figures
| null | null | null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We demonstrate that gravitational particle production (GPP) of a massive,
Abelian, vector (Proca) field during inflation in the presence of nonminimal
coupling to gravity may suffer from an instability which leads to runaway
production of high-momentum modes. This is untenable unless there is some
mechanism to regulate the runaway. We discuss the parameter space of the
particle mass and nonminimal couplings where such a runaway occurs and possible
ways to tame the runaway. We find that there is no obvious way to resolve the
runaway in a UV completion or with kinetic mixing to the standard model.
|
[
{
"created": "Fri, 22 Mar 2024 18:00:01 GMT",
"version": "v1"
}
] |
2024-03-26
|
[
[
"Capanelli",
"Christian",
""
],
[
"Jenks",
"Leah",
""
],
[
"Kolb",
"Edward W.",
""
],
[
"McDonough",
"Evan",
""
]
] |
We demonstrate that gravitational particle production (GPP) of a massive, Abelian, vector (Proca) field during inflation in the presence of nonminimal coupling to gravity may suffer from an instability which leads to runaway production of high-momentum modes. This is untenable unless there is some mechanism to regulate the runaway. We discuss the parameter space of the particle mass and nonminimal couplings where such a runaway occurs and possible ways to tame the runaway. We find that there is no obvious way to resolve the runaway in a UV completion or with kinetic mixing to the standard model.
|
1608.02942
|
Grant Remmen
|
Clifford Cheung, Grant N. Remmen
|
Positivity of Curvature-Squared Corrections in Gravity
|
6 pages
|
Phys. Rev. Lett. 118, 051601 (2017)
|
10.1103/PhysRevLett.118.051601
|
CALT-TH-2016-018
|
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the Gauss-Bonnet (GB) term as the leading higher-curvature
correction to pure Einstein gravity. Assuming a tree-level ultraviolet
completion free of ghosts or tachyons, we prove that the GB term has a
nonnegative coefficient in dimensions greater than four. Our result follows
from unitarity of the spectral representation for a general ultraviolet
completion of the GB term.
|
[
{
"created": "Tue, 9 Aug 2016 20:00:04 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Feb 2017 18:08:30 GMT",
"version": "v2"
}
] |
2017-02-02
|
[
[
"Cheung",
"Clifford",
""
],
[
"Remmen",
"Grant N.",
""
]
] |
We study the Gauss-Bonnet (GB) term as the leading higher-curvature correction to pure Einstein gravity. Assuming a tree-level ultraviolet completion free of ghosts or tachyons, we prove that the GB term has a nonnegative coefficient in dimensions greater than four. Our result follows from unitarity of the spectral representation for a general ultraviolet completion of the GB term.
|
2308.04175
|
Michael Haack
|
Andreas Bischof, Michael Haack and Stephan Stieberger
|
Scattering three closed strings off a Dp-brane in pure spinor formalism
|
64 pages, 11 figures
| null | null |
MPP-2023-79, LMU-ASC 28/23
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the disk amplitude of three closed strings in the pure spinor
formalism. Among others, this amplitude probes tree-level gravitational
interactions in the presence of Dp-branes. After disentangling holomorphic and
anti-holomorphic closed string coordinates on the disk by means of introducing
monodromy phases we find a compact expression for the disk amplitude of three
closed strings in terms of open superstring six-point amplitudes. Furthermore,
we provide the low-energy expansion (in the inverse string tension) of our
amplitude and discuss some relevant Dp-brane couplings associated to it.
Finally, we write down an expression for the general structure of the disk
amplitude of any number n_c of closed strings in terms of pure open string
amplitudes involving 2n_c open strings.
|
[
{
"created": "Tue, 8 Aug 2023 10:15:48 GMT",
"version": "v1"
}
] |
2023-08-09
|
[
[
"Bischof",
"Andreas",
""
],
[
"Haack",
"Michael",
""
],
[
"Stieberger",
"Stephan",
""
]
] |
We compute the disk amplitude of three closed strings in the pure spinor formalism. Among others, this amplitude probes tree-level gravitational interactions in the presence of Dp-branes. After disentangling holomorphic and anti-holomorphic closed string coordinates on the disk by means of introducing monodromy phases we find a compact expression for the disk amplitude of three closed strings in terms of open superstring six-point amplitudes. Furthermore, we provide the low-energy expansion (in the inverse string tension) of our amplitude and discuss some relevant Dp-brane couplings associated to it. Finally, we write down an expression for the general structure of the disk amplitude of any number n_c of closed strings in terms of pure open string amplitudes involving 2n_c open strings.
|
0709.2799
|
Binata Panda
|
Ignatios Antoniadis, Alok Kumar, Binata Panda
|
Supersymmetric SU(5) GUT with Stabilized Moduli
|
48 pages
|
Nucl.Phys.B795:69-104,2008
|
10.1016/j.nuclphysb.2007.11.008
|
CERN-PH-TH/2007-163
|
hep-th hep-ph
| null |
We construct a minimal example of a supersymmetric grand unified model in a
toroidal compactification of type I string theory with magnetized D9-branes.
All geometric moduli are stabilized in terms of the background internal
magnetic fluxes which are of "oblique" type (mutually non-commuting). The gauge
symmetry is just SU(5) and the gauge non-singlet chiral spectrum contains only
three families of quarks and leptons transforming in the $10+{\bar 5}$
representations.
|
[
{
"created": "Tue, 18 Sep 2007 13:29:57 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Antoniadis",
"Ignatios",
""
],
[
"Kumar",
"Alok",
""
],
[
"Panda",
"Binata",
""
]
] |
We construct a minimal example of a supersymmetric grand unified model in a toroidal compactification of type I string theory with magnetized D9-branes. All geometric moduli are stabilized in terms of the background internal magnetic fluxes which are of "oblique" type (mutually non-commuting). The gauge symmetry is just SU(5) and the gauge non-singlet chiral spectrum contains only three families of quarks and leptons transforming in the $10+{\bar 5}$ representations.
|
1711.00910
|
Roberto Auzzi
|
Roberto Auzzi, Stefano Baiguera and Giuseppe Nardelli
|
Nonrelativistic trace and diffeomorphism anomalies in particle number
background
|
20 pages; V2 minor changes also in title, typos
|
Phys. Rev. D 97, 085010 (2018)
|
10.1103/PhysRevD.97.085010
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using the heat kernel method, we compute nonrelativistic trace anomalies for
Schr\"odinger theories in flat spacetime, with a generic background gauge field
for the particle number symmetry, both for a free scalar and a free fermion.
The result is genuinely nonrelativistic, and it has no counterpart in the
relativistic case. Contrary to the naive expectations, the anomaly is not
gauge-invariant; this is similar to the non-gauge covariance of the non-abelian
relativistic anomaly. We also show that, in the same background, the
gravitational anomaly for a nonrelativistic scalar vanishes.
|
[
{
"created": "Thu, 2 Nov 2017 19:56:06 GMT",
"version": "v1"
},
{
"created": "Sun, 8 Apr 2018 21:30:53 GMT",
"version": "v2"
}
] |
2018-04-18
|
[
[
"Auzzi",
"Roberto",
""
],
[
"Baiguera",
"Stefano",
""
],
[
"Nardelli",
"Giuseppe",
""
]
] |
Using the heat kernel method, we compute nonrelativistic trace anomalies for Schr\"odinger theories in flat spacetime, with a generic background gauge field for the particle number symmetry, both for a free scalar and a free fermion. The result is genuinely nonrelativistic, and it has no counterpart in the relativistic case. Contrary to the naive expectations, the anomaly is not gauge-invariant; this is similar to the non-gauge covariance of the non-abelian relativistic anomaly. We also show that, in the same background, the gravitational anomaly for a nonrelativistic scalar vanishes.
|
hep-th/0607152
|
In\^es Aniceto
|
In\^es Aniceto, Antal Jevicki
|
Notes on Collective Field Theory of Matrix and Spin Calogero Models
|
36 pages, no figures v2: references added, a version to appear in the
special issue of JPhysA (edited by G Dunne, J Feinberg and P Dorey)
v3:comments changed, paper identical to v2
|
J.Phys.A39:12765-12792,2006
|
10.1088/0305-4470/39/41/S06
|
Brown-HET-1469
|
hep-th cond-mat.other
| null |
Matrix models and related Spin-Calogero-Sutherland models are of major
relevance in a variety of subjects, ranging from condensed matter physics to
QCD and low dimensional string theory. They are characterized by integrability
and exact solvability. Their continuum, field theoretic representations are
likewise of definite interest. In this paper we describe various continuum,
field theoretic representations of these models based on bosonization and
collective field theory techniques. We compare various known representations
and describe some nontrivial applications.
|
[
{
"created": "Thu, 20 Jul 2006 20:33:19 GMT",
"version": "v1"
},
{
"created": "Thu, 31 Aug 2006 17:01:49 GMT",
"version": "v2"
},
{
"created": "Fri, 1 Sep 2006 21:52:11 GMT",
"version": "v3"
}
] |
2009-11-11
|
[
[
"Aniceto",
"Inês",
""
],
[
"Jevicki",
"Antal",
""
]
] |
Matrix models and related Spin-Calogero-Sutherland models are of major relevance in a variety of subjects, ranging from condensed matter physics to QCD and low dimensional string theory. They are characterized by integrability and exact solvability. Their continuum, field theoretic representations are likewise of definite interest. In this paper we describe various continuum, field theoretic representations of these models based on bosonization and collective field theory techniques. We compare various known representations and describe some nontrivial applications.
|
1807.07616
|
Luca Smaldone
|
Massimo Blasone, Petr Jizba, Nikolaos E. Mavromatos and Luca Smaldone
|
Dynamical generation of field mixing via flavor vacuum condensate
| null |
Phys. Rev. D 100, 045027 (2019)
|
10.1103/PhysRevD.100.045027
| null |
hep-th hep-ph math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we study dynamical chiral symmetry breaking of a generic
quantum field theoretical model with global chiral flavor symmetry. By purely
algebraic means we analyze the vacuum structure for different symmetry breaking
schemes and show explicitly how the ensuing non-trivial flavor vacuum
condensate characterizes the phenomenon of field mixing. In addition, with the
help of Ward-Takahashi identities we demonstrate the emergence of a correct
number of Nambu-Goldstone modes in the physical spectrum.
|
[
{
"created": "Thu, 19 Jul 2018 19:15:57 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Nov 2018 19:03:04 GMT",
"version": "v2"
},
{
"created": "Thu, 28 Feb 2019 15:13:51 GMT",
"version": "v3"
},
{
"created": "Wed, 2 Oct 2019 10:32:49 GMT",
"version": "v4"
}
] |
2019-10-03
|
[
[
"Blasone",
"Massimo",
""
],
[
"Jizba",
"Petr",
""
],
[
"Mavromatos",
"Nikolaos E.",
""
],
[
"Smaldone",
"Luca",
""
]
] |
In this paper we study dynamical chiral symmetry breaking of a generic quantum field theoretical model with global chiral flavor symmetry. By purely algebraic means we analyze the vacuum structure for different symmetry breaking schemes and show explicitly how the ensuing non-trivial flavor vacuum condensate characterizes the phenomenon of field mixing. In addition, with the help of Ward-Takahashi identities we demonstrate the emergence of a correct number of Nambu-Goldstone modes in the physical spectrum.
|
hep-th/0606043
|
Anzor Khelashvili
|
T.Khachidze, A. Khelashvili, T.Nadareishvili
|
Dirac equation and its squared form
|
4 pages. to be published in Bull.Georg.Acad.Sci
|
Bull.Georg.Acad.Sci. vol 174, numb 1, 2006
| null | null |
hep-th
| null |
It is shown that the squared operation of the Dirac equation which is widely
applied may create new solutions and moreover may change the inner nature of
original equation. Some illustrating examples are considered as well.
|
[
{
"created": "Tue, 6 Jun 2006 10:09:46 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Jun 2006 11:14:45 GMT",
"version": "v2"
},
{
"created": "Wed, 14 Jun 2006 12:53:58 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Khachidze",
"T.",
""
],
[
"Khelashvili",
"A.",
""
],
[
"Nadareishvili",
"T.",
""
]
] |
It is shown that the squared operation of the Dirac equation which is widely applied may create new solutions and moreover may change the inner nature of original equation. Some illustrating examples are considered as well.
|
hep-th/9110046
|
Curtis Callan
|
Curtis G. Callan, Jr. and Denise Freed
|
Phase Diagram of the Dissipative Hofstadter Model
|
23 pages
|
Nucl.Phys. B374 (1992) 543-566
|
10.1016/0550-3213(92)90400-6
| null |
hep-th
| null |
The dissipative quantum mechanics of a charged particle in a uniform magnetic
field and periodic potential has delocalization critical points which
correspond to backgrounds for the open string. We study the phase diagram of
this system (in the magnetic field/dissipation constant plane) and find a
fractal structure which, in the limit of zero dissipation, matches the fractal
energy level structure of the pure quantum mechanical version of this problem
(Hofstadter model).
|
[
{
"created": "Wed, 16 Oct 1991 19:15:43 GMT",
"version": "v1"
}
] |
2019-08-14
|
[
[
"Callan,",
"Curtis G.",
"Jr."
],
[
"Freed",
"Denise",
""
]
] |
The dissipative quantum mechanics of a charged particle in a uniform magnetic field and periodic potential has delocalization critical points which correspond to backgrounds for the open string. We study the phase diagram of this system (in the magnetic field/dissipation constant plane) and find a fractal structure which, in the limit of zero dissipation, matches the fractal energy level structure of the pure quantum mechanical version of this problem (Hofstadter model).
|
hep-th/0605027
|
Sean A. Hartnoll
|
Sean A. Hartnoll and S. Prem Kumar
|
Higher rank Wilson loops from a matrix model
|
1+18 pages. 1 figure. Typos corrected
|
JHEP 0608:026,2006
|
10.1088/1126-6708/2006/08/026
| null |
hep-th
| null |
We compute the circular Wilson loop of N=4 SYM theory at large N in the rank
k symmetric and antisymmetric tensor representations. Using a quadratic
Hermitian matrix model we obtain expressions for all values of the 't Hooft
coupling. At large and small couplings we give explicit formulae and reproduce
supergravity results from both D3 and D5 branes within a systematic framework.
|
[
{
"created": "Wed, 3 May 2006 18:48:33 GMT",
"version": "v1"
},
{
"created": "Tue, 16 May 2006 17:56:38 GMT",
"version": "v2"
}
] |
2011-04-15
|
[
[
"Hartnoll",
"Sean A.",
""
],
[
"Kumar",
"S. Prem",
""
]
] |
We compute the circular Wilson loop of N=4 SYM theory at large N in the rank k symmetric and antisymmetric tensor representations. Using a quadratic Hermitian matrix model we obtain expressions for all values of the 't Hooft coupling. At large and small couplings we give explicit formulae and reproduce supergravity results from both D3 and D5 branes within a systematic framework.
|
hep-th/9909144
|
Max Zucker
|
Max Zucker (Bonn U.)
|
Gauged N=2 Off-Shell Supergravity in Five Dimensions
|
11 pages, latex 2e, amstex, no figures
|
JHEP 0008 (2000) 016
|
10.1088/1126-6708/2000/08/016
|
BONN-TH-99-16
|
hep-th
| null |
We present some multiplets of N=2 off-shell supergravity in five dimensions.
One is the Super Yang-Mills multiplet, another one is the linear multiplet. The
latter one is used to establish a general action formula from which we derive
an action for the Super Yang-Mills multiplet. The Super Yang-Mills multiplet is
used to construct the nonlinear multiplet with gauged SU(2). This nonlinear
multiplet and the action formula for the Yang-Mills multiplet enable us to
write down an SU(2) gauged supergravity which we finally truncate to arrive at
gauged supergravity with gauge group SO(2).
|
[
{
"created": "Tue, 21 Sep 1999 10:09:24 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Zucker",
"Max",
"",
"Bonn U."
]
] |
We present some multiplets of N=2 off-shell supergravity in five dimensions. One is the Super Yang-Mills multiplet, another one is the linear multiplet. The latter one is used to establish a general action formula from which we derive an action for the Super Yang-Mills multiplet. The Super Yang-Mills multiplet is used to construct the nonlinear multiplet with gauged SU(2). This nonlinear multiplet and the action formula for the Yang-Mills multiplet enable us to write down an SU(2) gauged supergravity which we finally truncate to arrive at gauged supergravity with gauge group SO(2).
|
hep-th/0609146
|
M. B. Paranjape
|
G. Alexanian, R. MacKenzie, M. B. Paranjape, J. Ruel
|
Problems With Complex Actions
|
6+epsilon pages, no figures, presented at Theory CANADA 2
| null |
10.1139/P07-064
|
UdeM-GPP-TH-06-151
|
hep-th
| null |
We consider Euclidean functional integrals involving actions which are not
exclusively real. This situation arises, for example, when there are $t$-odd
terms in the the Minkowski action. Writing the action in terms of only real
fields (which is always possible), such terms appear as explicitly imaginary
terms in the Euclidean action. The usual quanization procedure which involves
finding the critical points of the action and then quantizing the spectrum of
fluctuations about these critical points fails. In the case of complex actions,
there do not exist, in general, any critical points of the action on the space
of real fields, the critical points are in general complex. The proper
definition of the function integral then requires the analytic continuation of
the functional integration into the space of complex fields so as to pass
through the complex critical points according to the method of steepest
descent. We show a simple example where this procedure can be carried out
explicitly. The procedure of finding the critical points of the real part of
the action and quantizing the corresponding fluctuations, treating the
(exponential of the) complex part of the action as a bounded integrable
function is shown to fail in our explicit example, at least perturbatively.
|
[
{
"created": "Thu, 21 Sep 2006 14:05:14 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Alexanian",
"G.",
""
],
[
"MacKenzie",
"R.",
""
],
[
"Paranjape",
"M. B.",
""
],
[
"Ruel",
"J.",
""
]
] |
We consider Euclidean functional integrals involving actions which are not exclusively real. This situation arises, for example, when there are $t$-odd terms in the the Minkowski action. Writing the action in terms of only real fields (which is always possible), such terms appear as explicitly imaginary terms in the Euclidean action. The usual quanization procedure which involves finding the critical points of the action and then quantizing the spectrum of fluctuations about these critical points fails. In the case of complex actions, there do not exist, in general, any critical points of the action on the space of real fields, the critical points are in general complex. The proper definition of the function integral then requires the analytic continuation of the functional integration into the space of complex fields so as to pass through the complex critical points according to the method of steepest descent. We show a simple example where this procedure can be carried out explicitly. The procedure of finding the critical points of the real part of the action and quantizing the corresponding fluctuations, treating the (exponential of the) complex part of the action as a bounded integrable function is shown to fail in our explicit example, at least perturbatively.
|
2105.07600
|
Robert Oeckl
|
Robert Oeckl (CCM-UNAM)
|
Scattering of Evanescent Particles
|
22 pages; v2: added results on LSZ reduction
|
Int. J. Mod. Phys. A 38 (2023) 2350081, 25 pages
|
10.1142/S0217751X23500811
|
UNAM-CCM-2021-2
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Massive Klein-Gordon theory is quantized on the timelike hypercylinder in
Minkowski space. Crucially, not only the propagating, but also the evanescent
sector of phase space is included, laying in this way foundations for a quantum
scattering theory of fields at finite distance. To achieve this, the novel
$\alpha$-K\"ahler quantization scheme is employed in the framework of general
boundary quantum field theory. A potential quantization ambiguity is fixed by
stringent requirements, leading to a unitary radial evolution. Formulas for
building scattering amplitudes and correlation functions are exhibited. A novel
LSZ formula is derived, applicable to scattering at finite distance.
|
[
{
"created": "Mon, 17 May 2021 04:11:37 GMT",
"version": "v1"
},
{
"created": "Sat, 5 Nov 2022 00:58:13 GMT",
"version": "v2"
}
] |
2023-08-24
|
[
[
"Oeckl",
"Robert",
"",
"CCM-UNAM"
]
] |
Massive Klein-Gordon theory is quantized on the timelike hypercylinder in Minkowski space. Crucially, not only the propagating, but also the evanescent sector of phase space is included, laying in this way foundations for a quantum scattering theory of fields at finite distance. To achieve this, the novel $\alpha$-K\"ahler quantization scheme is employed in the framework of general boundary quantum field theory. A potential quantization ambiguity is fixed by stringent requirements, leading to a unitary radial evolution. Formulas for building scattering amplitudes and correlation functions are exhibited. A novel LSZ formula is derived, applicable to scattering at finite distance.
|
hep-th/9812012
|
Edward Witten
|
Edward Witten
|
AdS/CFT Correspondence And Topological Field Theory
|
33 pp, minor corrections
|
JHEP 9812:012,1998
|
10.1088/1126-6708/1998/12/012
| null |
hep-th
| null |
In ${\cal N}=4$ super Yang-Mills theory on a four-manifold $M$, one can
specify a discrete magnetic flux valued in $H^2(M,\Z_N)$. This flux is encoded
in the AdS/CFT correspondence in terms of a five-dimensional topological field
theory with Chern-Simons action. A similar topological field theory in seven
dimensions governs the space of ``conformal blocks'' of the six-dimensional
$(0,2)$ conformal field theory.
|
[
{
"created": "Tue, 1 Dec 1998 21:56:26 GMT",
"version": "v1"
},
{
"created": "Sun, 24 Jan 1999 16:03:24 GMT",
"version": "v2"
}
] |
2010-04-07
|
[
[
"Witten",
"Edward",
""
]
] |
In ${\cal N}=4$ super Yang-Mills theory on a four-manifold $M$, one can specify a discrete magnetic flux valued in $H^2(M,\Z_N)$. This flux is encoded in the AdS/CFT correspondence in terms of a five-dimensional topological field theory with Chern-Simons action. A similar topological field theory in seven dimensions governs the space of ``conformal blocks'' of the six-dimensional $(0,2)$ conformal field theory.
|
hep-th/0606249
|
Anton Ilderton
|
Anton Ilderton
|
Recursive structures in string field theory
|
LaTeX, 11 pages, published version. References added
|
Nucl.Phys.B759:283-291,2006
|
10.1016/j.nuclphysb.2006.10.006
| null |
hep-th
| null |
Using light cone string field theory we derive recursion relations for closed
string correlation functions and scattering amplitudes which hold to all orders
in perturbation theory. These results extend to strings in a plane wave
background.
|
[
{
"created": "Mon, 26 Jun 2006 20:15:42 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Jun 2006 14:34:29 GMT",
"version": "v2"
},
{
"created": "Wed, 22 Nov 2006 20:50:42 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Ilderton",
"Anton",
""
]
] |
Using light cone string field theory we derive recursion relations for closed string correlation functions and scattering amplitudes which hold to all orders in perturbation theory. These results extend to strings in a plane wave background.
|
1907.06667
|
Stefano Antonini
|
Stefano Antonini and Brian Swingle
|
Cosmology at the end of the world
|
12 pages and 5 figures + appendices. Corrected Figure 5. Improved
discussion and figures
|
Nat. Phys. 16, 881-886 (2020)
|
10.1038/s41567-020-0909-6
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the last two decades the Anti-de Sitter/Conformal Field Theory
correspondence (AdS/CFT) has emerged as focal point of many research interests.
In particular, it functions as a stepping stone to a still missing full quantum
theory of gravity. In this context, a pivotal question is if and how
cosmological physics can be studied using AdS/CFT. Motivated by string theory,
braneworld cosmologies propose that our universe is a four-dimensional membrane
embedded in a bulk five-dimensional AdS spacetime. We show how such a scenario
can be microscopically realized in AdS/CFT using special field theory states
dual to an "end-of-the-world brane" moving in a charged black hole spacetime.
Observers on the brane experience cosmological physics and approximately
four-dimensional gravity, at least locally in spacetime. This result opens a
new path towards a description of quantum cosmology and the simulation of
cosmology on quantum machines.
|
[
{
"created": "Mon, 15 Jul 2019 18:03:41 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Jan 2021 21:31:03 GMT",
"version": "v2"
}
] |
2021-01-25
|
[
[
"Antonini",
"Stefano",
""
],
[
"Swingle",
"Brian",
""
]
] |
In the last two decades the Anti-de Sitter/Conformal Field Theory correspondence (AdS/CFT) has emerged as focal point of many research interests. In particular, it functions as a stepping stone to a still missing full quantum theory of gravity. In this context, a pivotal question is if and how cosmological physics can be studied using AdS/CFT. Motivated by string theory, braneworld cosmologies propose that our universe is a four-dimensional membrane embedded in a bulk five-dimensional AdS spacetime. We show how such a scenario can be microscopically realized in AdS/CFT using special field theory states dual to an "end-of-the-world brane" moving in a charged black hole spacetime. Observers on the brane experience cosmological physics and approximately four-dimensional gravity, at least locally in spacetime. This result opens a new path towards a description of quantum cosmology and the simulation of cosmology on quantum machines.
|
1007.2447
|
Masoud Soroush
|
Marco Baumgartl, Ilka Brunner, Masoud Soroush
|
D-brane Superpotentials: Geometric and Worldsheet Approaches
|
42 pages, v2: references added, typos corrected
|
Nucl.Phys.B843:602-637,2011
|
10.1016/j.nuclphysb.2010.10.014
|
LMU-ASC 46/10
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
From the worldsheet perspective, the superpotential on a D-brane wrapping
internal cycles of a Calabi-Yau manifold is given as a generating functional
for disk correlation functions. On the other hand, from the geometric point of
view, D-brane superpotentials are captured by certain chain integrals. In this
work, we explicitly show for branes wrapping internal 2-cycles how these two
different approaches are related. More specifically, from the worldsheet point
of view, D-branes at the Landau-Ginzburg point have a convenient description in
terms of matrix factorizations. We use a formula derived by Kapustin and Li to
explicitly evaluate disk correlators for families of D2-branes. On the geometry
side, we then construct a three-chain whose period gives rise to the effective
superpotential and show that the two expressions coincide. Finally, as an
explicit example, we choose a particular compact Calabi-Yau hypersurface and
compute the effective D2-brane superpotential in different branches of the open
moduli space, in both geometric and worldsheet approaches.
|
[
{
"created": "Wed, 14 Jul 2010 22:33:53 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Jul 2010 01:38:40 GMT",
"version": "v2"
}
] |
2010-11-23
|
[
[
"Baumgartl",
"Marco",
""
],
[
"Brunner",
"Ilka",
""
],
[
"Soroush",
"Masoud",
""
]
] |
From the worldsheet perspective, the superpotential on a D-brane wrapping internal cycles of a Calabi-Yau manifold is given as a generating functional for disk correlation functions. On the other hand, from the geometric point of view, D-brane superpotentials are captured by certain chain integrals. In this work, we explicitly show for branes wrapping internal 2-cycles how these two different approaches are related. More specifically, from the worldsheet point of view, D-branes at the Landau-Ginzburg point have a convenient description in terms of matrix factorizations. We use a formula derived by Kapustin and Li to explicitly evaluate disk correlators for families of D2-branes. On the geometry side, we then construct a three-chain whose period gives rise to the effective superpotential and show that the two expressions coincide. Finally, as an explicit example, we choose a particular compact Calabi-Yau hypersurface and compute the effective D2-brane superpotential in different branches of the open moduli space, in both geometric and worldsheet approaches.
|
1408.7030
|
Pulak Ranjan Giri
|
Tetsuo Deguchi, Pulak Ranjan Giri
|
Non Self-conjugate Strings, Singular Strings and Rigged Configurations
in the Heisenberg Model
|
17 pages, 3 figures, published version
|
J. Stat. Mech: Theor. Exp. P02004 (2015)
|
10.1088/1742-5468/2015/02/P02004
| null |
hep-th cond-mat.str-el math-ph math.MP nlin.SI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We observe a different type of complex solutions in the isotropic spin-1/2
Heisenberg chain starting from N=12, where the central rapidity of some of the
odd-length strings becomes complex making not all the strings self-conjugate
individually. We show that there are at most (N-2)/2 singular solutions for
M=4, M=5 down-spins and at most (N^2-6N+8)/8 singular solutions for M=6, M=7
down-spins in an even-length chain with N \geq 2M. Correspondence of the non
self-conjugate string solutions and the singular string solutions to the rigged
configurations has also been shown.
|
[
{
"created": "Fri, 29 Aug 2014 14:21:21 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Sep 2014 09:49:27 GMT",
"version": "v2"
},
{
"created": "Wed, 11 Feb 2015 02:45:41 GMT",
"version": "v3"
}
] |
2015-02-12
|
[
[
"Deguchi",
"Tetsuo",
""
],
[
"Giri",
"Pulak Ranjan",
""
]
] |
We observe a different type of complex solutions in the isotropic spin-1/2 Heisenberg chain starting from N=12, where the central rapidity of some of the odd-length strings becomes complex making not all the strings self-conjugate individually. We show that there are at most (N-2)/2 singular solutions for M=4, M=5 down-spins and at most (N^2-6N+8)/8 singular solutions for M=6, M=7 down-spins in an even-length chain with N \geq 2M. Correspondence of the non self-conjugate string solutions and the singular string solutions to the rigged configurations has also been shown.
|
hep-th/9205018
|
Barnich Glenn
|
Marc Henneaux
|
Geometric Interpretation of the Quantum Master Equation in the
BRST--anti-BRST Formalism
|
12 pages
|
Phys.Lett. B282 (1992) 372-376
|
10.1016/0370-2693(92)90654-M
| null |
hep-th
| null |
The geometric interpretation of the antibracket formalism given by Witten is
extended to cover the anti-BRST symmetry. This enables one to formulate the
quantum master equation for the BRST--anti-BRST formalism in terms of
integration theory over a supermanifold. A proof of the equivalence of the
standard antibracket formalism with the antibracket formalism for the
BRST--anti-BRST symmetry is also given.
|
[
{
"created": "Sat, 9 May 1992 12:42:15 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Henneaux",
"Marc",
""
]
] |
The geometric interpretation of the antibracket formalism given by Witten is extended to cover the anti-BRST symmetry. This enables one to formulate the quantum master equation for the BRST--anti-BRST formalism in terms of integration theory over a supermanifold. A proof of the equivalence of the standard antibracket formalism with the antibracket formalism for the BRST--anti-BRST symmetry is also given.
|
0911.2211
|
Ru-Nan Huang
|
Peng Dai, Ru-Nan Huang, and Warren Siegel
|
Covariant propagator in AdS5 x S5 superspace
|
17 pages, no figures; v2: reference added, typos corrected; v3:
further revised, typos corrected
|
JHEP 1003:001,2010
|
10.1007/JHEP03(2010)001
|
YITP-SB-09-37
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We give an explicit superspace propagator for the chiral scalar field
strength of 10D IIB supergravity on an AdS5 x S5 background. Because this space
is conformally flat, the propagator is very simple, almost identical to that of
flat space. We also give an explicit expansion over the Kaluza-Klein modes of
S5. The fact that the full propagator is so much simpler suggests that, as in
2D conformal field theory, AdS/CFT calculations would be simpler without a mode
expansion.
|
[
{
"created": "Wed, 11 Nov 2009 19:54:12 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Nov 2009 16:48:44 GMT",
"version": "v2"
},
{
"created": "Wed, 10 Feb 2010 14:53:14 GMT",
"version": "v3"
}
] |
2010-03-19
|
[
[
"Dai",
"Peng",
""
],
[
"Huang",
"Ru-Nan",
""
],
[
"Siegel",
"Warren",
""
]
] |
We give an explicit superspace propagator for the chiral scalar field strength of 10D IIB supergravity on an AdS5 x S5 background. Because this space is conformally flat, the propagator is very simple, almost identical to that of flat space. We also give an explicit expansion over the Kaluza-Klein modes of S5. The fact that the full propagator is so much simpler suggests that, as in 2D conformal field theory, AdS/CFT calculations would be simpler without a mode expansion.
|
1809.09899
|
Christian Saemann
|
Branislav Jurco, Lorenzo Raspollini, Christian Saemann, Martin Wolf
|
$L_\infty$-Algebras of Classical Field Theories and the
Batalin-Vilkovisky Formalism
|
v4: 131 pages, minor improvements, typos fixed, references added
|
Fortschr. Phys. 67 (2019) 1900025
|
10.1002/prop.201900025
|
EMPG-18-19, DMUS-MP-18/05
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review in detail the Batalin-Vilkovisky formalism for Lagrangian field
theories and its mathematical foundations with an emphasis on higher algebraic
structures and classical field theories. In particular, we show how a field
theory gives rise to an $L_\infty$-algebra and how quasi-isomorphisms between
$L_\infty$-algebras correspond to classical equivalences of field theories. A
few experts may be familiar with parts of our discussion, however, the material
is presented from the perspective of a very general notion of a gauge theory.
We also make a number of new observations and present some new results. Most
importantly, we discuss in great detail higher (categorified) Chern-Simons
theories and give some useful shortcuts in usually rather involved
computations.
|
[
{
"created": "Wed, 26 Sep 2018 10:49:18 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Dec 2018 08:40:35 GMT",
"version": "v2"
},
{
"created": "Thu, 11 Jul 2019 10:29:48 GMT",
"version": "v3"
},
{
"created": "Thu, 10 Jun 2021 08:15:45 GMT",
"version": "v4"
}
] |
2021-06-11
|
[
[
"Jurco",
"Branislav",
""
],
[
"Raspollini",
"Lorenzo",
""
],
[
"Saemann",
"Christian",
""
],
[
"Wolf",
"Martin",
""
]
] |
We review in detail the Batalin-Vilkovisky formalism for Lagrangian field theories and its mathematical foundations with an emphasis on higher algebraic structures and classical field theories. In particular, we show how a field theory gives rise to an $L_\infty$-algebra and how quasi-isomorphisms between $L_\infty$-algebras correspond to classical equivalences of field theories. A few experts may be familiar with parts of our discussion, however, the material is presented from the perspective of a very general notion of a gauge theory. We also make a number of new observations and present some new results. Most importantly, we discuss in great detail higher (categorified) Chern-Simons theories and give some useful shortcuts in usually rather involved computations.
|
hep-th/9904148
|
Robert Mann
|
R.B. Mann
|
Entropy of Rotating Misner String Spacetimes
|
Revtex, 9 pages, 3 figures
|
Phys.Rev. D61 (2000) 084013
|
10.1103/PhysRevD.61.084013
|
ITP NSF-ITP-99-24;WATPHYS-TH99/02
|
hep-th
| null |
Using a boundary counterterm prescription motivated by the AdS/CFT
conjecture, I evaluate the energy, entropy and angular momentum of the class of
Kerr-NUT/bolt-AdS spacetimes. As in the non-rotating case, when the NUT charge
is nonzero the entropy is no longer equal to one-quarter of the area due to the
presence of the Misner string. When the cosmological constant is also non-zero,
the entropy is bounded from above.
|
[
{
"created": "Wed, 21 Apr 1999 19:06:05 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Mann",
"R. B.",
""
]
] |
Using a boundary counterterm prescription motivated by the AdS/CFT conjecture, I evaluate the energy, entropy and angular momentum of the class of Kerr-NUT/bolt-AdS spacetimes. As in the non-rotating case, when the NUT charge is nonzero the entropy is no longer equal to one-quarter of the area due to the presence of the Misner string. When the cosmological constant is also non-zero, the entropy is bounded from above.
|
hep-th/0308167
|
Boris Pioline
|
M. Gutperle (UCLA) and B. Pioline (LPTHE)
|
Type IIB Colliding Plane Waves
|
20+10 pages, 2 figures, uses JHEP3.cls; v2: refs [3,10,22] corrected,
remark added below (3.9) on inexistence of conformally flat CPW in our
ansatz, final version to appear in JHEP
|
JHEP 0309:061,2003
|
10.1088/1126-6708/2003/09/061
|
LPTHE-03-25
|
hep-th gr-qc
| null |
Four-dimensional colliding plane wave (CPW) solutions have played an
important role in understanding the classical non-linearities of Einstein's
equations. In this note, we investigate CPW solutions in $2n+2$--dimensional
Einstein gravity with a $n+1$-form flux. By using an isomorphism with the
four-dimensional problem, we construct exact solutions analogous to the
Szekeres vacuum solution in four dimensions. The higher-dimensional versions of
the Khan-Penrose and Bell-Szekeres CPW solutions are studied perturbatively in
the vicinity of the light-cone. We find that under small perturbations, a
curvature singularity is generically produced, leading to both space-like and
time-like singularities. For $n=4$, our results pertain to the collision of two
ten-dimensional type IIB Blau - Figueroa o'Farrill - Hull - Papadopoulos plane
waves.
|
[
{
"created": "Mon, 25 Aug 2003 15:49:43 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Oct 2003 07:55:02 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Gutperle",
"M.",
"",
"UCLA"
],
[
"Pioline",
"B.",
"",
"LPTHE"
]
] |
Four-dimensional colliding plane wave (CPW) solutions have played an important role in understanding the classical non-linearities of Einstein's equations. In this note, we investigate CPW solutions in $2n+2$--dimensional Einstein gravity with a $n+1$-form flux. By using an isomorphism with the four-dimensional problem, we construct exact solutions analogous to the Szekeres vacuum solution in four dimensions. The higher-dimensional versions of the Khan-Penrose and Bell-Szekeres CPW solutions are studied perturbatively in the vicinity of the light-cone. We find that under small perturbations, a curvature singularity is generically produced, leading to both space-like and time-like singularities. For $n=4$, our results pertain to the collision of two ten-dimensional type IIB Blau - Figueroa o'Farrill - Hull - Papadopoulos plane waves.
|
hep-th/0607090
|
Philip D. Mannheim
|
Philip D. Mannheim and Ionel Simbotin (University of Connecticut)
|
Completeness of non-normalizable modes
|
34 pages, 6 figures. Revtex
|
J.Phys.A39:13783-13806,2006
|
10.1088/0305-4470/39/44/012
| null |
hep-th
| null |
We establish the completeness of some characteristic sets of non-normalizable
modes by constructing fully localized square steps out of them, with each such
construction expressly displaying the Gibbs phenomenon associated with trying
to use a complete basis of modes to fit functions with discontinuous edges. As
well as being of interest in and of itself, our study is also of interest to
the recently introduced large extra dimension brane-localized gravity program
of Randall and Sundrum, since the particular non-normalizable mode bases that
we consider (specifically the irregular Bessel functions and the associated
Legendre functions of the second kind) are associated with the tensor
gravitational fluctuations which occur in those specific brane worlds in which
the embedding of a maximally four-symmetric brane in a five-dimensional anti-de
Sitter bulk leads to a warp factor which is divergent. Since the brane-world
massless four-dimensional graviton has a divergent wave function in these
particular cases, its resulting lack of normalizability is thus not seen to be
any impediment to its belonging to a complete basis of modes, and consequently
its lack of normalizability should not be seen as a criterion for not including
it in the spectrum of observable modes. Moreover, because the divergent modes
we consider form complete bases, we can even construct propagators out of them
in which these modes appear as poles with residues which are expressly finite.
Thus even though normalizable modes appear in propagators with residues which
are given as their finite normalization constants, non-normalizable modes can
just as equally appear in propagators with finite residues too -- it is just
that such residues will not be associated with bilinear integrals of the modes.
|
[
{
"created": "Thu, 13 Jul 2006 20:19:37 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Mannheim",
"Philip D.",
"",
"University of Connecticut"
],
[
"Simbotin",
"Ionel",
"",
"University of Connecticut"
]
] |
We establish the completeness of some characteristic sets of non-normalizable modes by constructing fully localized square steps out of them, with each such construction expressly displaying the Gibbs phenomenon associated with trying to use a complete basis of modes to fit functions with discontinuous edges. As well as being of interest in and of itself, our study is also of interest to the recently introduced large extra dimension brane-localized gravity program of Randall and Sundrum, since the particular non-normalizable mode bases that we consider (specifically the irregular Bessel functions and the associated Legendre functions of the second kind) are associated with the tensor gravitational fluctuations which occur in those specific brane worlds in which the embedding of a maximally four-symmetric brane in a five-dimensional anti-de Sitter bulk leads to a warp factor which is divergent. Since the brane-world massless four-dimensional graviton has a divergent wave function in these particular cases, its resulting lack of normalizability is thus not seen to be any impediment to its belonging to a complete basis of modes, and consequently its lack of normalizability should not be seen as a criterion for not including it in the spectrum of observable modes. Moreover, because the divergent modes we consider form complete bases, we can even construct propagators out of them in which these modes appear as poles with residues which are expressly finite. Thus even though normalizable modes appear in propagators with residues which are given as their finite normalization constants, non-normalizable modes can just as equally appear in propagators with finite residues too -- it is just that such residues will not be associated with bilinear integrals of the modes.
|
1705.07503
|
Alejandro Cabo
|
Alejandro Cabo Montes de Oca
|
A QCD Lagrangian including renormalizable NJL terms
|
20 pages, 5 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A local and gauge invariant version of QCD Lagrangian is introduced. The
model includes Nambu-Jona-Lasinio (NJL) terms within its action in a
surprisingly renormalizable form. This occurs thanks to the presence of action
terms which at first sight, look as breaking power counting renormalizability.
However, those terms also modify the quark propagators, to become more
decreasing that the Dirac one at large momenta, indicating power counting
renormalizability. The approach, can also be interpreted as generalized
renormalization procedure for massless QCD. The free propagator, given by the
substraction between a massive and a massless Dirac ones, in the Lee-Wick form,
suggests that the theory also retains unitarity. The appearance of finite quark
masses already in the tree approximation in the scheme is determined by the
fact that the new action terms explicitly break chiral invariance. The approach
looks as being able to implement the Fritzsch Democratic Symmetry breaking
ideas about the quark mass hierarchy. Also, a link of the theory with the SM
seems that can follow after employing the Zimmermann's couplings reduction
scheme. The renormalized Feynman diagram expansion of the model is written here
and the formula for the degree of divergence of the diagrams is derived. The
primitive divergent graphs are identified. We start their evaluation through
the calculation of the divergence of the gluon polarization operator. The
divergent part of the gluon selfenergy results to be transverse as required by
gauge invariance and also independent of the new couplings appearing. The
calculations of the rest of primitive divergences will be presented elsewhere.
|
[
{
"created": "Sun, 21 May 2017 20:04:08 GMT",
"version": "v1"
}
] |
2017-05-23
|
[
[
"de Oca",
"Alejandro Cabo Montes",
""
]
] |
A local and gauge invariant version of QCD Lagrangian is introduced. The model includes Nambu-Jona-Lasinio (NJL) terms within its action in a surprisingly renormalizable form. This occurs thanks to the presence of action terms which at first sight, look as breaking power counting renormalizability. However, those terms also modify the quark propagators, to become more decreasing that the Dirac one at large momenta, indicating power counting renormalizability. The approach, can also be interpreted as generalized renormalization procedure for massless QCD. The free propagator, given by the substraction between a massive and a massless Dirac ones, in the Lee-Wick form, suggests that the theory also retains unitarity. The appearance of finite quark masses already in the tree approximation in the scheme is determined by the fact that the new action terms explicitly break chiral invariance. The approach looks as being able to implement the Fritzsch Democratic Symmetry breaking ideas about the quark mass hierarchy. Also, a link of the theory with the SM seems that can follow after employing the Zimmermann's couplings reduction scheme. The renormalized Feynman diagram expansion of the model is written here and the formula for the degree of divergence of the diagrams is derived. The primitive divergent graphs are identified. We start their evaluation through the calculation of the divergence of the gluon polarization operator. The divergent part of the gluon selfenergy results to be transverse as required by gauge invariance and also independent of the new couplings appearing. The calculations of the rest of primitive divergences will be presented elsewhere.
|
1505.05457
|
Larisa Jonke
|
Athanasios Chatzistavrakidis, Larisa Jonke and Olaf Lechtenfeld
|
Sigma models for genuinely non-geometric backgrounds
|
1+34 pages, v2. added references and additional comments; published
version
|
JHEP 1511 (2015) 182
|
10.1007/JHEP11(2015)182
|
ITP-UH-07/15
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The existence of genuinely non-geometric backgrounds, i.e. ones without
geometric dual, is an important question in string theory. In this paper we
examine this question from a sigma model perspective. First we construct a
particular class of Courant algebroids as protobialgebroids with all types of
geometric and non-geometric fluxes. For such structures we apply the
mathematical result that any Courant algebroid gives rise to a 3D topological
sigma model of the AKSZ type and we discuss the corresponding 2D field
theories. It is found that these models are always geometric, even when both
2-form and 2-vector fields are neither vanishing nor inverse of one another.
Taking a further step, we suggest an extended class of 3D sigma models, whose
world volume is embedded in phase space, which allow for genuinely
non-geometric backgrounds. Adopting the doubled formalism such models can be
related to double field theory, albeit from a world sheet perspective.
|
[
{
"created": "Wed, 20 May 2015 17:27:02 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Dec 2015 17:04:23 GMT",
"version": "v2"
}
] |
2015-12-11
|
[
[
"Chatzistavrakidis",
"Athanasios",
""
],
[
"Jonke",
"Larisa",
""
],
[
"Lechtenfeld",
"Olaf",
""
]
] |
The existence of genuinely non-geometric backgrounds, i.e. ones without geometric dual, is an important question in string theory. In this paper we examine this question from a sigma model perspective. First we construct a particular class of Courant algebroids as protobialgebroids with all types of geometric and non-geometric fluxes. For such structures we apply the mathematical result that any Courant algebroid gives rise to a 3D topological sigma model of the AKSZ type and we discuss the corresponding 2D field theories. It is found that these models are always geometric, even when both 2-form and 2-vector fields are neither vanishing nor inverse of one another. Taking a further step, we suggest an extended class of 3D sigma models, whose world volume is embedded in phase space, which allow for genuinely non-geometric backgrounds. Adopting the doubled formalism such models can be related to double field theory, albeit from a world sheet perspective.
|
1411.3158
|
Ahmad Ghodsi
|
Ahmad Ghodsi, Behnoush Khavari, Ali Naseh
|
Holographic Two-Point Functions in Conformal Gravity
|
42 pages. Published version in JHEP
|
JHEP01(2015)137
|
10.1007/JHEP01(2015)137
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we compute the holographic two-point functions of four
dimensional conformal gravity. Precisely we calculate the two-point functions
for Energy- Momentum (EM) and Partially Massless Response (PMR) operators that
have been identified as two response functions for two independent sources in
the dual CFT. The correlation function of EM with PMR tensors turns out to be
zero which is expected according to the conformal symmetry. The two-point
function of EM is that of a transverse and traceless tensor, and the two-point
function of PMR which is a traceless operator contains two distinct parts, one
for a transverse-traceless tensor operator and another one for a vector field,
both of which fulfill criteria of a CFT. We also discuss about the unitarity of
the theory.
|
[
{
"created": "Wed, 12 Nov 2014 12:36:28 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Jan 2015 16:09:27 GMT",
"version": "v2"
}
] |
2015-01-28
|
[
[
"Ghodsi",
"Ahmad",
""
],
[
"Khavari",
"Behnoush",
""
],
[
"Naseh",
"Ali",
""
]
] |
In this paper we compute the holographic two-point functions of four dimensional conformal gravity. Precisely we calculate the two-point functions for Energy- Momentum (EM) and Partially Massless Response (PMR) operators that have been identified as two response functions for two independent sources in the dual CFT. The correlation function of EM with PMR tensors turns out to be zero which is expected according to the conformal symmetry. The two-point function of EM is that of a transverse and traceless tensor, and the two-point function of PMR which is a traceless operator contains two distinct parts, one for a transverse-traceless tensor operator and another one for a vector field, both of which fulfill criteria of a CFT. We also discuss about the unitarity of the theory.
|
1706.09280
|
Massimo Porrati
|
Raphael Bousso and Massimo Porrati
|
Observable Supertranslations
|
24 pages, 2 figures. Minor changes to text and to figure 2. To appear
in PRD
|
Phys. Rev. D 96, 086016 (2017)
|
10.1103/PhysRevD.96.086016
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that large gauge transformations in asymptotically flat spacetime can
be implemented by sandwiching a shell containing the ingoing hard particles
between two finite-width shells of soft gauge excitations. Integration of the
graviton Dirac bracket implies that our observable soft degrees of freedom obey
the algebra imposed by Strominger on unobservable boundary degrees of freedom.
Thus, we provide both a derivation and an observable realization of this
algebra. The conservation laws associated with asymptotic symmetries are seen
to arise physically from free propagation of infrared modes. This explains in
physical terms our recent result that soft charges fail to constrain the hard
scattering problem, and so cannot be relevant to the black hole information
paradox.
|
[
{
"created": "Wed, 28 Jun 2017 13:27:12 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Oct 2017 04:20:34 GMT",
"version": "v2"
}
] |
2017-11-01
|
[
[
"Bousso",
"Raphael",
""
],
[
"Porrati",
"Massimo",
""
]
] |
We show that large gauge transformations in asymptotically flat spacetime can be implemented by sandwiching a shell containing the ingoing hard particles between two finite-width shells of soft gauge excitations. Integration of the graviton Dirac bracket implies that our observable soft degrees of freedom obey the algebra imposed by Strominger on unobservable boundary degrees of freedom. Thus, we provide both a derivation and an observable realization of this algebra. The conservation laws associated with asymptotic symmetries are seen to arise physically from free propagation of infrared modes. This explains in physical terms our recent result that soft charges fail to constrain the hard scattering problem, and so cannot be relevant to the black hole information paradox.
|
2403.14588
|
Johannes Walcher
|
Sibasish Banerjee, Mauricio Romo, Raphael Senghaas, Johannes Walcher
|
Exponential Networks for Linear Partitions
|
71 pages, 40 figures
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
Previous work has given proof and evidence that BPS states in local
Calabi-Yau 3-folds can be described and counted by exponential networks on the
punctured plane, with the help of a suitable non-abelianization map to the
mirror curve. This provides an appealing elementary depiction of moduli of
special Lagrangian submanifolds, but so far only a handful of examples have
been successfully worked out in detail. In this note, we exhibit an explicit
correspondence between torus fixed points of the Hilbert scheme of points on
$\mathbb C^2\subset\mathbb C^3$ and anomaly free exponential networks attached
to the quadratically framed pair of pants. This description realizes an
interesting, and seemingly novel, "age decomposition" of linear partitions. We
also provide further details about the networks' perspective on the full
D-brane moduli space.
|
[
{
"created": "Thu, 21 Mar 2024 17:43:28 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Mar 2024 12:34:37 GMT",
"version": "v2"
}
] |
2024-03-25
|
[
[
"Banerjee",
"Sibasish",
""
],
[
"Romo",
"Mauricio",
""
],
[
"Senghaas",
"Raphael",
""
],
[
"Walcher",
"Johannes",
""
]
] |
Previous work has given proof and evidence that BPS states in local Calabi-Yau 3-folds can be described and counted by exponential networks on the punctured plane, with the help of a suitable non-abelianization map to the mirror curve. This provides an appealing elementary depiction of moduli of special Lagrangian submanifolds, but so far only a handful of examples have been successfully worked out in detail. In this note, we exhibit an explicit correspondence between torus fixed points of the Hilbert scheme of points on $\mathbb C^2\subset\mathbb C^3$ and anomaly free exponential networks attached to the quadratically framed pair of pants. This description realizes an interesting, and seemingly novel, "age decomposition" of linear partitions. We also provide further details about the networks' perspective on the full D-brane moduli space.
|
hep-th/9902109
|
Zbigniew Jaskolski
|
Marcin Daszkiewicz, Zbigniew Hasiewicz, Zbigniew Jaskolski
|
Light-cone formulation and spin spectrum of non-critical fermionic
string
|
13 pages
|
Phys.Lett. B454 (1999) 249-258
|
10.1016/S0370-2693(99)00338-X
|
Preprint IFT UWr 933/99
|
hep-th
| null |
A free fermionic string quantum model is constructed directly in the
light-cone variables in the range of dimensions $1<d<10$. It is shown that
after the GSO projection this model is equivalent to the fermionic massive
string and to the non-critical Rammond-Neveu-Schwarz string. The spin spectrum
of the model is analysed. For $d=4$ the character generating functions is
obtained and the particle content of first few levels is numerically
calculated.
|
[
{
"created": "Mon, 15 Feb 1999 17:11:58 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Daszkiewicz",
"Marcin",
""
],
[
"Hasiewicz",
"Zbigniew",
""
],
[
"Jaskolski",
"Zbigniew",
""
]
] |
A free fermionic string quantum model is constructed directly in the light-cone variables in the range of dimensions $1<d<10$. It is shown that after the GSO projection this model is equivalent to the fermionic massive string and to the non-critical Rammond-Neveu-Schwarz string. The spin spectrum of the model is analysed. For $d=4$ the character generating functions is obtained and the particle content of first few levels is numerically calculated.
|
1601.07825
|
Norbert Dragon
|
Norbert Dragon
|
Currents for Arbitrary Helicity
|
The claim of the paper is erroneous
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using Mackey's classification of unitary representations of the Poincar\'e
group on massles states of arbitrary helicity we disprove the claim that states
with helicity |h|>=1 cannot couple to a conserved current by constructing such
a current.
|
[
{
"created": "Thu, 28 Jan 2016 16:42:58 GMT",
"version": "v1"
},
{
"created": "Mon, 31 Dec 2018 21:00:05 GMT",
"version": "v2"
}
] |
2019-01-03
|
[
[
"Dragon",
"Norbert",
""
]
] |
Using Mackey's classification of unitary representations of the Poincar\'e group on massles states of arbitrary helicity we disprove the claim that states with helicity |h|>=1 cannot couple to a conserved current by constructing such a current.
|
hep-th/0307267
|
George Savvidy K.
|
A.R.Fazio and G.K.Savvidy
|
Two-loop world-sheet effective action
|
Latex file, 11 pages
|
Mod.Phys.Lett. A18 (2003) 2817-2828
|
10.1142/S0217732303012246
|
NRCPS-HE-03-26
|
hep-th
| null |
We are studying quantum corrections in the earlier proposed string theory
based on world-sheet action which measures the linear sizes of the surfaces. At
classical level the string tension is equal to zero and as it was demonstrated
in the previous studies one loop correction to the classical world-sheet action
generates Nambu-Goto area term, that is nonzero string tension. We extend this
analysis computing the world-sheet effective action in the second order of the
loop expansion.
|
[
{
"created": "Mon, 28 Jul 2003 07:54:17 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Fazio",
"A. R.",
""
],
[
"Savvidy",
"G. K.",
""
]
] |
We are studying quantum corrections in the earlier proposed string theory based on world-sheet action which measures the linear sizes of the surfaces. At classical level the string tension is equal to zero and as it was demonstrated in the previous studies one loop correction to the classical world-sheet action generates Nambu-Goto area term, that is nonzero string tension. We extend this analysis computing the world-sheet effective action in the second order of the loop expansion.
|
1910.14575
|
Jonah Kudler-Flam
|
Jonah Kudler-Flam, Laimei Nie, Shinsei Ryu
|
Conformal field theory and the web of quantum chaos diagnostics
|
30 pages
|
JHEP01(2020)175
|
10.1007/JHEP01(2020)175
| null |
hep-th cond-mat.stat-mech cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study three prominent diagnostics of chaos and scrambling in the context
of two-dimensional conformal field theory: the spectral form factor,
out-of-time-ordered correlators, and unitary operator entanglement. With the
observation that all three quantities may be obtained by different analytic
continuations of the torus partition function, we address the connections and
distinctions between the information that each quantity provides us. In this
process, we study the emergence of irrationality from "large-N" limits of
rational conformal field theories (RCFTs) as well as the explicit breakdown of
rationality for theories with central charges greater than the number of their
conserved currents. Our analysis begins to elucidate the intermediate dynamical
behavior of theories that bridge the gap between integrable RCFTs and maximally
chaotic holographic CFTs.
|
[
{
"created": "Thu, 31 Oct 2019 16:29:27 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Jan 2020 21:24:22 GMT",
"version": "v2"
},
{
"created": "Wed, 17 Jun 2020 18:06:06 GMT",
"version": "v3"
}
] |
2020-06-19
|
[
[
"Kudler-Flam",
"Jonah",
""
],
[
"Nie",
"Laimei",
""
],
[
"Ryu",
"Shinsei",
""
]
] |
We study three prominent diagnostics of chaos and scrambling in the context of two-dimensional conformal field theory: the spectral form factor, out-of-time-ordered correlators, and unitary operator entanglement. With the observation that all three quantities may be obtained by different analytic continuations of the torus partition function, we address the connections and distinctions between the information that each quantity provides us. In this process, we study the emergence of irrationality from "large-N" limits of rational conformal field theories (RCFTs) as well as the explicit breakdown of rationality for theories with central charges greater than the number of their conserved currents. Our analysis begins to elucidate the intermediate dynamical behavior of theories that bridge the gap between integrable RCFTs and maximally chaotic holographic CFTs.
|
1307.1701
|
Timm Wrase
|
I\~naki Garc\'ia-Etxebarria, Ben Heidenreich, Timm Wrase
|
New N=1 dualities from orientifold transitions - Part II: String Theory
|
51 pages, 16 figures; v2: minor changes, added references, published
version
|
JHEP 1310:006,2013
|
10.1007/JHEP10(2013)006
|
CERN-PH-TH/2013-153, SU/ITP-13/11
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a string theoretical description, given in terms of branes and
orientifolds wrapping vanishing cycles, of the dual pairs of gauge theories
analyzed in 1210.7799. Based on the resulting construction we argue that the
duality that we observe in field theory is inherited from S-duality of type IIB
string theory. We analyze in detail the complex cone over the zeroth del Pezzo
surface and discuss an infinite family of orbifolds of flat space. For the del
Pezzo case we describe the system in terms of large volume objects, and show
that in this language the duality can be understood from the strongly coupled
behavior of the O7^+ plane, which we analyze using simple F-theory
considerations. For all cases we also give a different argument based on the
existence of appropriate torsional components of the 3-form flux lattice. Along
the way we clarify some aspects of the description of orientifolds in the
derived category of coherent sheaves, and in particular we discuss the
important role played by exotic orientifolds - ordinary orientifolds composed
with auto-equivalences of the category - when describing orientifolds of
ordinary quiver gauge theories.
|
[
{
"created": "Fri, 5 Jul 2013 20:00:01 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Sep 2013 20:54:57 GMT",
"version": "v2"
}
] |
2013-10-03
|
[
[
"García-Etxebarria",
"Iñaki",
""
],
[
"Heidenreich",
"Ben",
""
],
[
"Wrase",
"Timm",
""
]
] |
We present a string theoretical description, given in terms of branes and orientifolds wrapping vanishing cycles, of the dual pairs of gauge theories analyzed in 1210.7799. Based on the resulting construction we argue that the duality that we observe in field theory is inherited from S-duality of type IIB string theory. We analyze in detail the complex cone over the zeroth del Pezzo surface and discuss an infinite family of orbifolds of flat space. For the del Pezzo case we describe the system in terms of large volume objects, and show that in this language the duality can be understood from the strongly coupled behavior of the O7^+ plane, which we analyze using simple F-theory considerations. For all cases we also give a different argument based on the existence of appropriate torsional components of the 3-form flux lattice. Along the way we clarify some aspects of the description of orientifolds in the derived category of coherent sheaves, and in particular we discuss the important role played by exotic orientifolds - ordinary orientifolds composed with auto-equivalences of the category - when describing orientifolds of ordinary quiver gauge theories.
|
hep-th/0012083
|
Andrei Ivanov
|
M. Faber, A. N. Ivanov, N. I. Troitskaya
|
On the path integral representation for Wilson loops and the non-Abelian
Stokes theorem II
|
40 pages, no figures, Latex
| null | null | null |
hep-th
| null |
This paper is a revised version of our recent publication Faber et al., Phys.
Rev. D62 (2000) 025019, hep-th/9907048. The main revision concerns the
expansion into group characters that we have used for the evaluation of path
integrals over gauge degrees of freedom. In the present paper we apply the
expansion recommended by Diakonov and Petrov in hep-lat/0008004. Our former
expansion was approximate and in the region of the particular values of
parameters violated the completeness condition by 1.4%. We show that by using
the expansion into characters recommended by Diakonov and Petrov in
hep-lat/0008004 our previous results are retained and the path integral over
gauge degrees of freedom for Wilson loops derived by Diakonov and Petrov (Phys.
Lett. B224 (1989) 131 and hep-lat/0008004) by using a special regularization is
erroneous and predicts zero value for the Wilson loop. We give comments on the
paper hep-lat/0008004.
|
[
{
"created": "Mon, 11 Dec 2000 23:07:28 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Dec 2000 00:35:09 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Faber",
"M.",
""
],
[
"Ivanov",
"A. N.",
""
],
[
"Troitskaya",
"N. I.",
""
]
] |
This paper is a revised version of our recent publication Faber et al., Phys. Rev. D62 (2000) 025019, hep-th/9907048. The main revision concerns the expansion into group characters that we have used for the evaluation of path integrals over gauge degrees of freedom. In the present paper we apply the expansion recommended by Diakonov and Petrov in hep-lat/0008004. Our former expansion was approximate and in the region of the particular values of parameters violated the completeness condition by 1.4%. We show that by using the expansion into characters recommended by Diakonov and Petrov in hep-lat/0008004 our previous results are retained and the path integral over gauge degrees of freedom for Wilson loops derived by Diakonov and Petrov (Phys. Lett. B224 (1989) 131 and hep-lat/0008004) by using a special regularization is erroneous and predicts zero value for the Wilson loop. We give comments on the paper hep-lat/0008004.
|
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