id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2103.01230 | Ignacio A. Reyes | Ignacio A. Reyes | Moving mirrors, Page curves and bulk entropies in AdS$_2$ | 10 pages, 4 figures | Phys. Rev. Lett. 127, 051602 (2021) | 10.1103/PhysRevLett.127.051602 | null | hep-th cond-mat.stat-mech gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Understanding the entanglement of radiation in QFT has been a long standing
challenge, with implications ranging from black hole thermodynamics to quantum
information. We demonstrate how the case of the free fermion in $1 + 1$
dimensions reveals the details of the density matrix of the radiation produced
by a moving mirror. Using the resolvent method rather than standard CFT
techniques we derive the R\'enyi entropies, modular Hamiltonian and flow of the
radiation, and determine when mirrors generate unitary transformations.
| [
{
"created": "Mon, 1 Mar 2021 19:00:01 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Sep 2021 10:16:30 GMT",
"version": "v2"
}
] | 2021-09-30 | [
[
"Reyes",
"Ignacio A.",
""
]
] | Understanding the entanglement of radiation in QFT has been a long standing challenge, with implications ranging from black hole thermodynamics to quantum information. We demonstrate how the case of the free fermion in $1 + 1$ dimensions reveals the details of the density matrix of the radiation produced by a moving mirror. Using the resolvent method rather than standard CFT techniques we derive the R\'enyi entropies, modular Hamiltonian and flow of the radiation, and determine when mirrors generate unitary transformations. |
2207.05102 | Jude Pereira | Jude Pereira, Tanmay Vachaspati | Stability analysis of non-Abelian electric fields | 8 pages, 5 figures | null | 10.1103/PhysRevD.106.096019 | null | hep-th hep-lat hep-ph | http://creativecommons.org/licenses/by/4.0/ | We study the stability of fluctuations around a homogeneous non-Abelian
electric field background that is of a form that is protected from Schwinger
pair production. Our analysis identifies the unstable modes and we find a
limiting set of parameters for which there are no instabilities. We discuss
potential implications of our analysis for confining strings in non-Abelian
gauge theories.
| [
{
"created": "Mon, 11 Jul 2022 18:00:05 GMT",
"version": "v1"
}
] | 2022-12-07 | [
[
"Pereira",
"Jude",
""
],
[
"Vachaspati",
"Tanmay",
""
]
] | We study the stability of fluctuations around a homogeneous non-Abelian electric field background that is of a form that is protected from Schwinger pair production. Our analysis identifies the unstable modes and we find a limiting set of parameters for which there are no instabilities. We discuss potential implications of our analysis for confining strings in non-Abelian gauge theories. |
1112.5951 | Roman Gorbachev V | I. Ya. Aref'eva, N. V. Bulatov and R. V. Gorbachev | FRW Cosmology with Non-positively Defined Higgs Potentials | 40 pages, 20 figures, typos corrected | null | 10.1007/s11232-012-0127-1 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the classical aspects of dynamics of scalar models with
non-positive Higgs potentials in the FRW cosmology. These models appear as
effective local models in non-local models related with string field theories.
After a suitable field redefinition these models have the form of local Higgs
models with a negative extra cosmological term and the total Higgs potential is
non-positively defined and has rather small coupling constant. The
non-positivity of the potential leads to the fact that on some stage of
evolution the expansion mode gives place to the mode of contraction, due to
that the stage of reheating is absent. In these models the hard regime of
inflation gives place to inflation near the hill top and the area of the slow
roll inflation is very small. Meanwhile one can obtain enough e-foldings before
the contraction to make the model under consideration admissible to describe
inflation.
| [
{
"created": "Tue, 27 Dec 2011 11:02:49 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Mar 2012 16:10:08 GMT",
"version": "v2"
},
{
"created": "Wed, 21 Mar 2012 13:33:27 GMT",
"version": "v3"
}
] | 2015-06-03 | [
[
"Aref'eva",
"I. Ya.",
""
],
[
"Bulatov",
"N. V.",
""
],
[
"Gorbachev",
"R. V.",
""
]
] | We discuss the classical aspects of dynamics of scalar models with non-positive Higgs potentials in the FRW cosmology. These models appear as effective local models in non-local models related with string field theories. After a suitable field redefinition these models have the form of local Higgs models with a negative extra cosmological term and the total Higgs potential is non-positively defined and has rather small coupling constant. The non-positivity of the potential leads to the fact that on some stage of evolution the expansion mode gives place to the mode of contraction, due to that the stage of reheating is absent. In these models the hard regime of inflation gives place to inflation near the hill top and the area of the slow roll inflation is very small. Meanwhile one can obtain enough e-foldings before the contraction to make the model under consideration admissible to describe inflation. |
hep-th/0412205 | Andrei Mironov | A.Alexandrov, A.Mironov and A.Morozov | Solving Virasoro Constraints in Matrix Models | 9 pages, LaTeX, contribution to the 37th International Symposium
Ahrenshoop on the Theory of Elementary Particles | Fortsch.Phys.53:512-521,2005 | 10.1002/prop.200410212 | null | hep-th | null | This is a brief review of recent progress in constructing solutions to the
matrix model Virasoro equations. These equations are parameterized by a degree
n polynomial W_n(x), and the general solution is labeled by an arbitrary
function of n-1 coefficients of the polynomial. We also discuss in this general
framework a special class of (multi-cut) solutions recently studied in the
context of \cal N=1 supersymmetric gauge theories.
| [
{
"created": "Fri, 17 Dec 2004 20:13:40 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Alexandrov",
"A.",
""
],
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
]
] | This is a brief review of recent progress in constructing solutions to the matrix model Virasoro equations. These equations are parameterized by a degree n polynomial W_n(x), and the general solution is labeled by an arbitrary function of n-1 coefficients of the polynomial. We also discuss in this general framework a special class of (multi-cut) solutions recently studied in the context of \cal N=1 supersymmetric gauge theories. |
hep-th/0610299 | Pierre Vanhove | Michael B. Green (Cambridge U., DAMTP), Jorge G. Russo (ICREA,
Barcelona & Barcelona U., ECM) and Pierre Vanhove (SPhT, Saclay) | Non-renormalisation Conditions in Type II String Theory and Maximal
Supergravity | 30 pages, 4 figures. v3 Some rewording, typos corrected and some
references added. v4: Abstract rephrased. More typos corrected. Version to be
published | JHEP 0702:099,2007 | 10.1088/1126-6708/2007/02/099 | null | hep-th | null | This paper considers general features of the derivative expansion of Feynman
diagram contributions to the four-graviton scattering amplitude in
eleven-dimensional supergravity compactified on a two-torus. These are
translated into statements about interactions of the form D^2k R^4 in type II
superstring theories, assuming the standard M-theory/string theory duality
relationships, which provide powerful constraints on the effective
interactions. In the ten-dimensional IIA limit we find that there can be no
perturbative contributions beyond k string loops (for k>0). Furthermore, the
genus h=k contributions are determined exactly by the one-loop
eleven-dimensional supergravity amplitude for all values of k. A plausible
interpretation of these observations is that the sum of h-loop Feynman diagrams
of maximally extended supergravity is less divergent than might be expected and
could be ultraviolet finite in dimensions d < 4 + 6/h -- the same bound as for
N=4 Yang--Mills.
| [
{
"created": "Fri, 27 Oct 2006 19:49:19 GMT",
"version": "v1"
},
{
"created": "Sun, 29 Oct 2006 17:50:01 GMT",
"version": "v2"
},
{
"created": "Fri, 17 Nov 2006 21:43:28 GMT",
"version": "v3"
},
{
"created": "Wed, 28 Feb 2007 11:17:10 GMT",
"version": "v4"
}
] | 2010-10-27 | [
[
"Green",
"Michael B.",
"",
"Cambridge U., DAMTP"
],
[
"Russo",
"Jorge G.",
"",
"ICREA,\n Barcelona & Barcelona U., ECM"
],
[
"Vanhove",
"Pierre",
"",
"SPhT, Saclay"
]
] | This paper considers general features of the derivative expansion of Feynman diagram contributions to the four-graviton scattering amplitude in eleven-dimensional supergravity compactified on a two-torus. These are translated into statements about interactions of the form D^2k R^4 in type II superstring theories, assuming the standard M-theory/string theory duality relationships, which provide powerful constraints on the effective interactions. In the ten-dimensional IIA limit we find that there can be no perturbative contributions beyond k string loops (for k>0). Furthermore, the genus h=k contributions are determined exactly by the one-loop eleven-dimensional supergravity amplitude for all values of k. A plausible interpretation of these observations is that the sum of h-loop Feynman diagrams of maximally extended supergravity is less divergent than might be expected and could be ultraviolet finite in dimensions d < 4 + 6/h -- the same bound as for N=4 Yang--Mills. |
hep-th/0609023 | Gyula Fodor | Gyula Fodor, P\'eter Forg\'acs, Philippe Grandcl\'ement and Istv\'an
R\'acz | Oscillons and Quasi-breathers in the \phi^4 Klein-Gordon model | 33 pages, 34 figures | Phys.Rev.D74:124003,2006 | 10.1103/PhysRevD.74.124003 | null | hep-th gr-qc hep-ph | null | Strong numerical evidence is presented for the existence of a continuous
family of time-periodic solutions with ``weak'' spatial localization of the
spherically symmetric non-linear Klein-Gordon equation in 3+1 dimensions. These
solutions are ``weakly'' localized in space in that they have slowly decaying
oscillatory tails and can be interpreted as localized standing waves
(quasi-breathers). By a detailed analysis of long-lived metastable states
(oscillons) formed during the time evolution it is demonstrated that the
oscillon states can be quantitatively described by the weakly localized
quasi-breathers.It is found that the quasi-breathers and their oscillon
counterparts exist for a whole continuum of frequencies.
| [
{
"created": "Mon, 4 Sep 2006 08:47:54 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Fodor",
"Gyula",
""
],
[
"Forgács",
"Péter",
""
],
[
"Grandclément",
"Philippe",
""
],
[
"Rácz",
"István",
""
]
] | Strong numerical evidence is presented for the existence of a continuous family of time-periodic solutions with ``weak'' spatial localization of the spherically symmetric non-linear Klein-Gordon equation in 3+1 dimensions. These solutions are ``weakly'' localized in space in that they have slowly decaying oscillatory tails and can be interpreted as localized standing waves (quasi-breathers). By a detailed analysis of long-lived metastable states (oscillons) formed during the time evolution it is demonstrated that the oscillon states can be quantitatively described by the weakly localized quasi-breathers.It is found that the quasi-breathers and their oscillon counterparts exist for a whole continuum of frequencies. |
2104.13383 | Arjun Kar | Vijay Balasubramanian, Arjun Kar, Tomonori Ugajin | Entanglement between two gravitating universes | 39 pages, 11 figures | null | 10.1088/1361-6382/ac3c8b | YITP-21-39 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study two disjoint universes in an entangled pure state. When only one
universe contains gravity, the path integral for the $n^{\text{th}}$ R\'enyi
entropy includes a wormhole between the $n$ copies of the gravitating universe,
leading to a standard "island formula" for entanglement entropy consistent with
unitarity of quantum information. When both universes contain gravity,
gravitational corrections to this configuration lead to a violation of
unitarity. However, the path integral is now dominated by a novel wormhole with
$2n$ boundaries connecting replica copies of both universes. The analytic
continuation of this contribution involves a quotient by $\mathbb{Z}_n$ replica
symmetry, giving a cylinder connecting the two universes. When entanglement is
large, this configuration has an effective description as a "swap wormhole", a
geometry in which the boundaries of the two universes are glued together by a
"swaperator". This description allows precise computation of a generalized
entropy-like formula for entanglement entropy. The quantum extremal surface
computing the entropy lives on the Lorentzian continuation of the cylinder/swap
wormhole, which has a connected Cauchy slice stretching between the universes
-- a realization of the ER=EPR idea. The new wormhole restores unitarity of
quantum information.
| [
{
"created": "Tue, 27 Apr 2021 18:00:00 GMT",
"version": "v1"
}
] | 2022-09-28 | [
[
"Balasubramanian",
"Vijay",
""
],
[
"Kar",
"Arjun",
""
],
[
"Ugajin",
"Tomonori",
""
]
] | We study two disjoint universes in an entangled pure state. When only one universe contains gravity, the path integral for the $n^{\text{th}}$ R\'enyi entropy includes a wormhole between the $n$ copies of the gravitating universe, leading to a standard "island formula" for entanglement entropy consistent with unitarity of quantum information. When both universes contain gravity, gravitational corrections to this configuration lead to a violation of unitarity. However, the path integral is now dominated by a novel wormhole with $2n$ boundaries connecting replica copies of both universes. The analytic continuation of this contribution involves a quotient by $\mathbb{Z}_n$ replica symmetry, giving a cylinder connecting the two universes. When entanglement is large, this configuration has an effective description as a "swap wormhole", a geometry in which the boundaries of the two universes are glued together by a "swaperator". This description allows precise computation of a generalized entropy-like formula for entanglement entropy. The quantum extremal surface computing the entropy lives on the Lorentzian continuation of the cylinder/swap wormhole, which has a connected Cauchy slice stretching between the universes -- a realization of the ER=EPR idea. The new wormhole restores unitarity of quantum information. |
hep-th/0112171 | Turko | Ludwik Turko | Nonlinear Constraints from Non-Abelian Internal Symmetries | 4 pages, to appear in Nuclear Physics Proceedings Supplement:
STATISTICAL QCD, held at Bielefeld August 2001 | Nucl.Phys. A702 (2002) 361-365 | 10.1016/S0375-9474(02)00725-X | December 2001 IFT UWr 01/12/2001 | hep-th | null | Symmetry invariant local interaction of a many body system leads to global
constraints. We obtain explicit forms of the global macroscopic condition
assuring that at the microscopic level the evolution respects the overall
symmetry.
| [
{
"created": "Wed, 19 Dec 2001 10:20:27 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Turko",
"Ludwik",
""
]
] | Symmetry invariant local interaction of a many body system leads to global constraints. We obtain explicit forms of the global macroscopic condition assuring that at the microscopic level the evolution respects the overall symmetry. |
hep-th/0207170 | Mariam Bouhmadi-Lopez | M. Bouhmadi-Lopez, P. F. Gonzalez-Diaz and A. Zhuk | Topological defect brane-world models | 10 pages, LateX2e, a few comments added and misprints corrected. To
be published in Gravitation and Cosmology | Grav. Cosmol. 8:285-293,2002 | null | null | hep-th astro-ph gr-qc | null | 5-dimensional homogeneous and isotropic models with a bulk cosmological
constant and a minimally coupled scalar field are considered. We have found
that in special cases the scalar field can mimic a frustrated (i.e. disordered)
networks of topological defects: cosmic strings, domain walls and hyperdomain
walls. This equivalence enabled us to obtain 5-dimensional instantonic
solutions which can be used to construct brane-world models. In some cases,
their analytic continuation to a Lorentzian metric signature give rise to
either 4-dimensional flat or inflating branes. Models with arbitrary dimensions
(D $>$ 5) are also briefly discussed.
| [
{
"created": "Thu, 18 Jul 2002 16:22:06 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Nov 2002 14:32:35 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Bouhmadi-Lopez",
"M.",
""
],
[
"Gonzalez-Diaz",
"P. F.",
""
],
[
"Zhuk",
"A.",
""
]
] | 5-dimensional homogeneous and isotropic models with a bulk cosmological constant and a minimally coupled scalar field are considered. We have found that in special cases the scalar field can mimic a frustrated (i.e. disordered) networks of topological defects: cosmic strings, domain walls and hyperdomain walls. This equivalence enabled us to obtain 5-dimensional instantonic solutions which can be used to construct brane-world models. In some cases, their analytic continuation to a Lorentzian metric signature give rise to either 4-dimensional flat or inflating branes. Models with arbitrary dimensions (D $>$ 5) are also briefly discussed. |
hep-th/0210158 | Hyeonjoon Shin | Seungjoon Hyun, Hyeonjoon Shin | Solvable N=(4,4) Type IIA String Theory in Plane-Wave Background and
D-Branes | latex2e, 23 pages, v2: typos corrected, one reference added, v3:
final version to appear in Nucl. Phys. B | Nucl.Phys. B654 (2003) 114-134 | 10.1016/S0550-3213(03)00086-5 | null | hep-th | null | We study various aspects of N=(4,4) type IIA GS superstring theory in the
pp-wave background, which arises as the compactification of maximally
supersymmetric eleven-dimensional pp-wave geometry along the spacelike isometry
direction. We show the supersymmetry algebra of N=(4,4) worldsheet
supersymmetry as well as non-linearly realized supersymmetry. We also give
quantization of closed string and open string incorporating various boundary
conditions. From the open string boundary conditions, we find configurations of
D-branes which preserve half the supersymmetries. Among these we identify D4
brane configurations with longitudinal five brane configurations in matrix
model on the eleven-dimensional pp-wave geometry.
| [
{
"created": "Wed, 16 Oct 2002 15:53:37 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Oct 2002 12:50:19 GMT",
"version": "v2"
},
{
"created": "Fri, 28 Feb 2003 09:27:31 GMT",
"version": "v3"
}
] | 2010-04-05 | [
[
"Hyun",
"Seungjoon",
""
],
[
"Shin",
"Hyeonjoon",
""
]
] | We study various aspects of N=(4,4) type IIA GS superstring theory in the pp-wave background, which arises as the compactification of maximally supersymmetric eleven-dimensional pp-wave geometry along the spacelike isometry direction. We show the supersymmetry algebra of N=(4,4) worldsheet supersymmetry as well as non-linearly realized supersymmetry. We also give quantization of closed string and open string incorporating various boundary conditions. From the open string boundary conditions, we find configurations of D-branes which preserve half the supersymmetries. Among these we identify D4 brane configurations with longitudinal five brane configurations in matrix model on the eleven-dimensional pp-wave geometry. |
hep-th/0304084 | Shibaji Roy | Shibaji Roy | Accelerating cosmologies from M/String theory compactifications | 12 pages, latex, two figures, v4: minor clarifications and references
added, version to appear in Physics Letters B,v5:some misleading phrases in
the introduction have been corrected | Phys.Lett. B567 (2003) 322-329 | 10.1016/j.physletb.2003.06.060 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We point out that the solution of $(4+n)$-dimensional gravity coupled to the
dilaton and an $n$-form field strength can give rise to a flat 4-dimensional
universe (with a scale factor) of the type proposed recently under time
dependent compactifications. The compact internal spaces could be hyperbolic,
flat or spherical and the solution is identical to the space-like two brane or
S2-brane. As has been shown previously for SM2 solution with a fixed field
strength we show that for $n=7$ (where the dilaton is vanishing and with a
general field strength), 6 the corresponding SM2 and SD2 solutions can give
accelerating cosmologies in Einstein frame for both hyperbolic and flat
internal spaces, thereby meeting the challenge of obtaining such a solution
from M/String theory compactifications.
| [
{
"created": "Wed, 9 Apr 2003 12:06:27 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Apr 2003 11:42:09 GMT",
"version": "v2"
},
{
"created": "Thu, 17 Apr 2003 12:15:46 GMT",
"version": "v3"
},
{
"created": "Mon, 30 Jun 2003 10:29:54 GMT",
"version": "v4"
},
{
"created": "Thu, 6 Oct 2011 09:36:32 GMT",
"version": "v5"
}
] | 2011-10-07 | [
[
"Roy",
"Shibaji",
""
]
] | We point out that the solution of $(4+n)$-dimensional gravity coupled to the dilaton and an $n$-form field strength can give rise to a flat 4-dimensional universe (with a scale factor) of the type proposed recently under time dependent compactifications. The compact internal spaces could be hyperbolic, flat or spherical and the solution is identical to the space-like two brane or S2-brane. As has been shown previously for SM2 solution with a fixed field strength we show that for $n=7$ (where the dilaton is vanishing and with a general field strength), 6 the corresponding SM2 and SD2 solutions can give accelerating cosmologies in Einstein frame for both hyperbolic and flat internal spaces, thereby meeting the challenge of obtaining such a solution from M/String theory compactifications. |
1711.02022 | Evgeny Sobko | Volker Schomerus and Evgeny Sobko | From Spinning Conformal Blocks to Matrix Calogero-Sutherland Models | 29 pages | null | 10.1007/JHEP04(2018)052 | DESY-17-177, NORDITA-2017-105 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we develop further the relation between conformal four-point
blocks involving external spinning fields and Calogero-Sutherland quantum
mechanics with matrix-valued potentials. To this end, the analysis of
\cite{Schomerus:2016epl} is extended to arbitrary dimensions and to the case of
boundary two-point functions. In particular, we construct the potential for any
set of external tensor fields. Some of the resulting Schr\"{o}dinger equations
are mapped explicitly to the known Casimir equations for 4-dimensional seed
conformal blocks. Our approach furnishes solutions of Casimir equations for
external fields of arbitrary spin and dimension in terms of functions on the
conformal group. This allows us to reinterpret standard operations on conformal
blocks in terms of group-theoretic objects. In particular, we shall discuss the
relation between the construction of spinning blocks in any dimension through
differential operators acting on seed blocks and the action of left/right
invariant vector fields on the conformal group.
| [
{
"created": "Mon, 6 Nov 2017 17:18:18 GMT",
"version": "v1"
}
] | 2018-05-09 | [
[
"Schomerus",
"Volker",
""
],
[
"Sobko",
"Evgeny",
""
]
] | In this paper we develop further the relation between conformal four-point blocks involving external spinning fields and Calogero-Sutherland quantum mechanics with matrix-valued potentials. To this end, the analysis of \cite{Schomerus:2016epl} is extended to arbitrary dimensions and to the case of boundary two-point functions. In particular, we construct the potential for any set of external tensor fields. Some of the resulting Schr\"{o}dinger equations are mapped explicitly to the known Casimir equations for 4-dimensional seed conformal blocks. Our approach furnishes solutions of Casimir equations for external fields of arbitrary spin and dimension in terms of functions on the conformal group. This allows us to reinterpret standard operations on conformal blocks in terms of group-theoretic objects. In particular, we shall discuss the relation between the construction of spinning blocks in any dimension through differential operators acting on seed blocks and the action of left/right invariant vector fields on the conformal group. |
hep-th/0408074 | Reiho Sakamoto | Reiho Sakamoto | Explicit formula for singular vectors of the Virasoro algebra with
central charge less than 1 | 10 pages, revised version | Chaos Solitons Fractals 25 (2005) 147-151 | 10.1016/j.chaos.2004.09.073 | null | hep-th | null | We calculate explicitly the singular vectors of the Virasoro algebra with the
central charge $c\leq 1$. As a result, we have an infinite sequence of the
singular vectors for each Fock space with given central charge and highest
weight, and all its elements can be written in terms of the Jack symmetric
functions with rectangular Young diagram.
| [
{
"created": "Tue, 10 Aug 2004 08:24:58 GMT",
"version": "v1"
},
{
"created": "Sat, 18 Sep 2004 02:54:21 GMT",
"version": "v2"
}
] | 2015-06-26 | [
[
"Sakamoto",
"Reiho",
""
]
] | We calculate explicitly the singular vectors of the Virasoro algebra with the central charge $c\leq 1$. As a result, we have an infinite sequence of the singular vectors for each Fock space with given central charge and highest weight, and all its elements can be written in terms of the Jack symmetric functions with rectangular Young diagram. |
hep-th/0110012 | Alexandre C. Tort | F C Santos and A C Tort | Duality Transformations and temperature inversion symmetry | 5 pages, no figures, standard Latex | null | null | null | hep-th quant-ph | null | We argue that the temperature inversion symmetry present in the original
Casimir setup and also in other Casimir systems for which symmetrical boundary
conditions are imposed is not related to the duality transformations that in
the context defined in Ref. [1] are transformations relating spatial extension
and temperature, and pressure and energy density. We provide an example of a
Casimir system for which in principle there is no temperature inversion
symmetry but nevertheless these duality transformations can be found.
| [
{
"created": "Mon, 1 Oct 2001 14:57:55 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Santos",
"F C",
""
],
[
"Tort",
"A C",
""
]
] | We argue that the temperature inversion symmetry present in the original Casimir setup and also in other Casimir systems for which symmetrical boundary conditions are imposed is not related to the duality transformations that in the context defined in Ref. [1] are transformations relating spatial extension and temperature, and pressure and energy density. We provide an example of a Casimir system for which in principle there is no temperature inversion symmetry but nevertheless these duality transformations can be found. |
1705.01459 | George Savvidy K | George Savvidy | Gravity with linear action and gravitational singularities | 18 pages, references and one figure are added | null | null | NRCPS-HE/2017-52 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Motivated by quantum mechanical considerations we earlier suggested an
alternative action for discretised quantum gravity which has a dimension of
length. It is the so called "linear" action. The proposed action is a "square
root" of the classical area action in gravity and has in front of the action a
new constant of dimension one. Here we shall consider the continuous limit of
the discretised linear action. We shall demonstrate that in the modified theory
of gravity there appear space-time regions of the Schwarzschild radius scale
which are unreachable by test particles. These regions are located in the
places where standard theory of gravity has singularities. We are confronted
here with a drastically new concept that there may exist space-time regions
which are excluded from the physical scene, being physically unreachable by
test particles or observables. If this concept is accepted, then it seems
plausible that the gravitational singularities are excluded from the modified
theory.
| [
{
"created": "Wed, 3 May 2017 14:45:05 GMT",
"version": "v1"
},
{
"created": "Wed, 10 May 2017 10:59:31 GMT",
"version": "v2"
}
] | 2017-05-11 | [
[
"Savvidy",
"George",
""
]
] | Motivated by quantum mechanical considerations we earlier suggested an alternative action for discretised quantum gravity which has a dimension of length. It is the so called "linear" action. The proposed action is a "square root" of the classical area action in gravity and has in front of the action a new constant of dimension one. Here we shall consider the continuous limit of the discretised linear action. We shall demonstrate that in the modified theory of gravity there appear space-time regions of the Schwarzschild radius scale which are unreachable by test particles. These regions are located in the places where standard theory of gravity has singularities. We are confronted here with a drastically new concept that there may exist space-time regions which are excluded from the physical scene, being physically unreachable by test particles or observables. If this concept is accepted, then it seems plausible that the gravitational singularities are excluded from the modified theory. |
1205.3192 | Vijay Kumar | Hans Jockers, Vijay Kumar, Joshua M. Lapan, David R. Morrison,
Mauricio Romo | Nonabelian 2D Gauge Theories for Determinantal Calabi-Yau Varieties | v3: 46 pages, 1 figure. Corrected phase structure of general linear
determinantal varieties. Typos corrected | null | 10.1007/JHEP11(2012)166 | BONN-TH-2012-09; NSF-KITP-12-070; UCSB Math 2012-17 | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The two-dimensional supersymmetric gauged linear sigma model (GLSM) with
abelian gauge groups and matter fields has provided many insights into string
theory on Calabi--Yau manifolds of a certain type: complete intersections in
toric varieties. In this paper, we consider two GLSM constructions with
nonabelian gauge groups and charged matter whose infrared CFTs correspond to
string propagation on determinantal Calabi-Yau varieties, furnishing another
broad class of Calabi-Yau geometries in addition to complete intersections. We
show that these two models -- which we refer to as the PAX and the PAXY model
-- are dual descriptions of the same low-energy physics. Using GLSM techniques,
we determine the quantum K\"ahler moduli space of these varieties and find no
disagreement with existing results in the literature.
| [
{
"created": "Mon, 14 May 2012 20:54:02 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Jul 2012 17:43:20 GMT",
"version": "v2"
},
{
"created": "Wed, 7 Nov 2012 19:54:17 GMT",
"version": "v3"
}
] | 2015-06-05 | [
[
"Jockers",
"Hans",
""
],
[
"Kumar",
"Vijay",
""
],
[
"Lapan",
"Joshua M.",
""
],
[
"Morrison",
"David R.",
""
],
[
"Romo",
"Mauricio",
""
]
] | The two-dimensional supersymmetric gauged linear sigma model (GLSM) with abelian gauge groups and matter fields has provided many insights into string theory on Calabi--Yau manifolds of a certain type: complete intersections in toric varieties. In this paper, we consider two GLSM constructions with nonabelian gauge groups and charged matter whose infrared CFTs correspond to string propagation on determinantal Calabi-Yau varieties, furnishing another broad class of Calabi-Yau geometries in addition to complete intersections. We show that these two models -- which we refer to as the PAX and the PAXY model -- are dual descriptions of the same low-energy physics. Using GLSM techniques, we determine the quantum K\"ahler moduli space of these varieties and find no disagreement with existing results in the literature. |
2311.13201 | Zixia Wei | Hiroki Kanda, Taishi Kawamoto, Yu-ki Suzuki, Tadashi Takayanagi, Kenya
Tasuki, Zixia Wei | Entanglement Phase Transition in Holographic Pseudo Entropy | 60+21 pages, 36 figures | JHEP 03 (2024) 060 | 10.1007/JHEP03(2024)060 | YITP-23-148 | hep-th cond-mat.stat-mech quant-ph | http://creativecommons.org/licenses/by/4.0/ | In this paper, we present holographic descriptions of entanglement phase
transition using AdS/BCFT. First, we analytically calculate the holographic
pseudo entropy in the AdS/BCFT model with a brane localized scalar field and
show the entanglement phase transition behavior where the time evolution of
entropy changes from the linear growth to the trivial one via a critical
logarithmic evolution. In this model, the imaginary valued scalar field
localized on the brane controls the phase transition, which is analogous to the
amount of projections in the measurement induced phase transition. Next, we
study the AdS/BCFT model with a brane localized gauge field, where the phase
transition looks different in that there is no logarithmically evolving
critical point. Finally, we discuss a bulk analog of the above model by
considering a double Wick rotation of the Janus solution. We compute the
holographic pseudo entropy in this model and show that the entropy grows
logarithmically.
| [
{
"created": "Wed, 22 Nov 2023 07:09:19 GMT",
"version": "v1"
}
] | 2024-07-31 | [
[
"Kanda",
"Hiroki",
""
],
[
"Kawamoto",
"Taishi",
""
],
[
"Suzuki",
"Yu-ki",
""
],
[
"Takayanagi",
"Tadashi",
""
],
[
"Tasuki",
"Kenya",
""
],
[
"Wei",
"Zixia",
""
]
] | In this paper, we present holographic descriptions of entanglement phase transition using AdS/BCFT. First, we analytically calculate the holographic pseudo entropy in the AdS/BCFT model with a brane localized scalar field and show the entanglement phase transition behavior where the time evolution of entropy changes from the linear growth to the trivial one via a critical logarithmic evolution. In this model, the imaginary valued scalar field localized on the brane controls the phase transition, which is analogous to the amount of projections in the measurement induced phase transition. Next, we study the AdS/BCFT model with a brane localized gauge field, where the phase transition looks different in that there is no logarithmically evolving critical point. Finally, we discuss a bulk analog of the above model by considering a double Wick rotation of the Janus solution. We compute the holographic pseudo entropy in this model and show that the entropy grows logarithmically. |
2007.04746 | Koji Hashimoto | Koji Hashimoto, Kyoung-Bum Huh, Keun-Young Kim, Ryota Watanabe | Exponential growth of out-of-time-order correlator without chaos:
inverted harmonic oscillator | 24 pages, 14 figures; v2: Appendix B (studying other operator
orderings of OTOC) added, a reference added | null | 10.1007/JHEP11(2020)068 | OU-HET-1064 | hep-th cond-mat.stat-mech quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide a detailed examination of a thermal out-of-time-order correlator
(OTOC) growing exponentially in time in systems without chaos. The system is a
one-dimensional quantum mechanics with a potential whose part is an inverted
harmonic oscillator. We numerically observe the exponential growth of the OTOC
when the temperature is higher than a certain threshold. The Lyapunov exponent
is found to be of the order of the classical Lyapunov exponent generated at the
hilltop, and it remains non-vanishing even at high temperature. We adopt
various shape of the potential and find these features universal. The study
confirms that the exponential growth of the thermal OTOC does not necessarily
mean chaos when the potential includes a local maximum. We also provide a bound
for the Lyapunov exponent of the thermal OTOC in generic quantum mechanics in
one dimension, which is of the same form as the chaos bound obtained by
Maldacena, Shenker and Stanford.
| [
{
"created": "Thu, 9 Jul 2020 12:37:29 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Jul 2020 08:26:02 GMT",
"version": "v2"
}
] | 2020-12-02 | [
[
"Hashimoto",
"Koji",
""
],
[
"Huh",
"Kyoung-Bum",
""
],
[
"Kim",
"Keun-Young",
""
],
[
"Watanabe",
"Ryota",
""
]
] | We provide a detailed examination of a thermal out-of-time-order correlator (OTOC) growing exponentially in time in systems without chaos. The system is a one-dimensional quantum mechanics with a potential whose part is an inverted harmonic oscillator. We numerically observe the exponential growth of the OTOC when the temperature is higher than a certain threshold. The Lyapunov exponent is found to be of the order of the classical Lyapunov exponent generated at the hilltop, and it remains non-vanishing even at high temperature. We adopt various shape of the potential and find these features universal. The study confirms that the exponential growth of the thermal OTOC does not necessarily mean chaos when the potential includes a local maximum. We also provide a bound for the Lyapunov exponent of the thermal OTOC in generic quantum mechanics in one dimension, which is of the same form as the chaos bound obtained by Maldacena, Shenker and Stanford. |
0705.1916 | Niko Jokela | Niko Jokela, Matti Jarvinen, Esko Keski-Vakkuri, Jaydeep Majumder | Disk Partition Function and Oscillatory Rolling Tachyons | 17 pages, 2 figures. v4: discussion clarified, appendix added,
conclusions unchanged; version to appear in J.Phys.A | J.Phys.A41:015402,2008 | 10.1088/1751-8113/41/1/015402 | HIP-2007-11/TH | hep-th | null | An exact cubic open string field theory rolling tachyon solution was recently
found by Kiermaier et. al. and Schnabl. This oscillatory solution has been
argued to be related by a field redefinition to the simple exponential rolling
tachyon deformation of boundary conformal theory. In the latter approach, the
disk partition function takes a simple form. Out of curiosity, we compute the
disk partition function for an oscillatory tachyon profile, and find that the
result is nevertheless almost the same.
| [
{
"created": "Mon, 14 May 2007 11:55:52 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Jun 2007 13:40:35 GMT",
"version": "v2"
},
{
"created": "Fri, 3 Aug 2007 13:54:59 GMT",
"version": "v3"
},
{
"created": "Fri, 30 Nov 2007 14:28:18 GMT",
"version": "v4"
}
] | 2008-11-26 | [
[
"Jokela",
"Niko",
""
],
[
"Jarvinen",
"Matti",
""
],
[
"Keski-Vakkuri",
"Esko",
""
],
[
"Majumder",
"Jaydeep",
""
]
] | An exact cubic open string field theory rolling tachyon solution was recently found by Kiermaier et. al. and Schnabl. This oscillatory solution has been argued to be related by a field redefinition to the simple exponential rolling tachyon deformation of boundary conformal theory. In the latter approach, the disk partition function takes a simple form. Out of curiosity, we compute the disk partition function for an oscillatory tachyon profile, and find that the result is nevertheless almost the same. |
1511.06199 | Andrei Petrovskii | Yunfeng Jiang and Andrei Petrovskii | Diagonal form factors and hexagon form factors | Minor corrections are implemented | null | 10.1007/JHEP07(2016)120 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the heavy-heavy-light (HHL) three-point functions in the planar N =
4 super-Yang- Mills theory using the recently proposed hexagon bootstrap
program [arXiv:1505.06745]. We prove the conjecture of Bajnok, Janik and
Wereszczynski [arXiv:1404.4556] on the polynomial L-dependence of HHL structure
constant up to the leading finite-size corrections, where L is the length of
the heavy operators. The proof is presented for a specific set-up but the
method can be applied to more general situations.
| [
{
"created": "Thu, 19 Nov 2015 15:08:38 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Mar 2016 10:21:18 GMT",
"version": "v2"
}
] | 2016-08-24 | [
[
"Jiang",
"Yunfeng",
""
],
[
"Petrovskii",
"Andrei",
""
]
] | We study the heavy-heavy-light (HHL) three-point functions in the planar N = 4 super-Yang- Mills theory using the recently proposed hexagon bootstrap program [arXiv:1505.06745]. We prove the conjecture of Bajnok, Janik and Wereszczynski [arXiv:1404.4556] on the polynomial L-dependence of HHL structure constant up to the leading finite-size corrections, where L is the length of the heavy operators. The proof is presented for a specific set-up but the method can be applied to more general situations. |
1603.08256 | Evan Ranken | S.G. Rajeev and Evan Ranken | Highly nonlinear wave solutions in a dual to the chiral model | null | Phys. Rev. D 93, 105016 (2016) | 10.1103/PhysRevD.93.105016 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a two-dimensional scalar field theory with a nilpotent current
algebra, which is dual to the Principal Chiral Model. The quantum theory is
renormalizable and not asymptotically free: the theory is strongly coupled at
short distances (encountering a Landau pole). We suggest it can serve as a toy
model for $\lambda\phi^{4}$ theory in four dimensions, just as the principal
chiral model is a useful toy model for Yang-Mills theory. We find some
classical wave solutions that survive the strong coupling limit and quantize
them by the collective variable method. They describe excitations with an
unusual dispersion relation $\omega\propto|k|^{\frac{2}{3}}$ . Perhaps they are
the "preons" at strong coupling, whose bound states form massless particles
over long distances.
| [
{
"created": "Sun, 27 Mar 2016 20:11:09 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Apr 2016 15:38:56 GMT",
"version": "v2"
},
{
"created": "Fri, 12 Aug 2016 22:54:54 GMT",
"version": "v3"
}
] | 2016-08-16 | [
[
"Rajeev",
"S. G.",
""
],
[
"Ranken",
"Evan",
""
]
] | We consider a two-dimensional scalar field theory with a nilpotent current algebra, which is dual to the Principal Chiral Model. The quantum theory is renormalizable and not asymptotically free: the theory is strongly coupled at short distances (encountering a Landau pole). We suggest it can serve as a toy model for $\lambda\phi^{4}$ theory in four dimensions, just as the principal chiral model is a useful toy model for Yang-Mills theory. We find some classical wave solutions that survive the strong coupling limit and quantize them by the collective variable method. They describe excitations with an unusual dispersion relation $\omega\propto|k|^{\frac{2}{3}}$ . Perhaps they are the "preons" at strong coupling, whose bound states form massless particles over long distances. |
2012.13443 | Dimitrios Giataganas | Dimitrios Giataganas, Nikolaos Tetradis | Entropy of Thermal CFTs on Curved Backgrounds | 17 pages, 3 Figures | Phys. Rev. D 104, 066024 (2021) | 10.1103/PhysRevD.104.066024 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use holography in order to study the entropy of thermal CFTs on
(1+1)-dimensional curved backgrounds that contain horizons. Starting from the
metric of the BTZ black hole, we perform explicit coordinate transformations
that set the boundary metric in de Sitter or black-hole form. For a de Sitter
boundary, the dual picture describes a CFT at a temperature different from that
of the cosmological horizon. We determine minimal surfaces that allow us to
compute the entanglement entropy of a boundary region, as well as the
temperature affecting the energy associated with a probe quark on the boundary.
For an entangling surface that coincides with the horizon, we study the
relation between entanglement and gravitational entropy through an appropriate
definition of the effective Newton's constant. We find that the leading
contribution to the entropy is proportional to the horizon area, with a
coefficient that accounts for the degrees of freedom of a CFT thermalized above
the horizon temperature. We demonstrate the universality of our findings by
considering the most general metric in a (2+1)-dimensional AdS bulk containing
a non-rotating black hole and a static boundary with horizons.
| [
{
"created": "Thu, 24 Dec 2020 21:06:40 GMT",
"version": "v1"
}
] | 2021-09-29 | [
[
"Giataganas",
"Dimitrios",
""
],
[
"Tetradis",
"Nikolaos",
""
]
] | We use holography in order to study the entropy of thermal CFTs on (1+1)-dimensional curved backgrounds that contain horizons. Starting from the metric of the BTZ black hole, we perform explicit coordinate transformations that set the boundary metric in de Sitter or black-hole form. For a de Sitter boundary, the dual picture describes a CFT at a temperature different from that of the cosmological horizon. We determine minimal surfaces that allow us to compute the entanglement entropy of a boundary region, as well as the temperature affecting the energy associated with a probe quark on the boundary. For an entangling surface that coincides with the horizon, we study the relation between entanglement and gravitational entropy through an appropriate definition of the effective Newton's constant. We find that the leading contribution to the entropy is proportional to the horizon area, with a coefficient that accounts for the degrees of freedom of a CFT thermalized above the horizon temperature. We demonstrate the universality of our findings by considering the most general metric in a (2+1)-dimensional AdS bulk containing a non-rotating black hole and a static boundary with horizons. |
hep-th/0305094 | Issaku Kanamori | Issaku Kanamori and Noboru Kawamoto | Dirac-Kaehler Fermion from Clifford Product with Noncommutative
Differential Form on a Lattice | 1+49 pages, 5 figures. v2: references added, and minor modifications | Int.J.Mod.Phys. A19 (2004) 695-736 | 10.1142/S0217751X04017628 | EPHOU-03-001 | hep-th hep-lat math-ph math.MP | null | We formulate Dirac-Kaehler fermion action by introducing a new Clifford
product with noncommutative differential form on a lattice. Hermiticity of the
Dirac-Kaehler action requires to choose the lattice structure having both
orientabilities on a link. The Kogut-Susskind fermion and the staggered fermion
actions are derived directly from the Dirac-Kaehler fermion formulated by the
Clifford product. The lattice QCD action with Dirac-Kaehler matter fermion is
also derived via an inner product defined by the Clifford product.
| [
{
"created": "Mon, 12 May 2003 12:48:05 GMT",
"version": "v1"
},
{
"created": "Sun, 18 May 2003 07:40:54 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Kanamori",
"Issaku",
""
],
[
"Kawamoto",
"Noboru",
""
]
] | We formulate Dirac-Kaehler fermion action by introducing a new Clifford product with noncommutative differential form on a lattice. Hermiticity of the Dirac-Kaehler action requires to choose the lattice structure having both orientabilities on a link. The Kogut-Susskind fermion and the staggered fermion actions are derived directly from the Dirac-Kaehler fermion formulated by the Clifford product. The lattice QCD action with Dirac-Kaehler matter fermion is also derived via an inner product defined by the Clifford product. |
hep-th/0206085 | Oscar J. C. Dias | Oscar J. C. Dias, Jose' P. S. Lemos | Magnetic point sources in three dimensional Brans-Dicke gravity theories | 13 pages, 2 figures (RevTeX4) | Phys.Rev.D66:024034,2002 | 10.1103/PhysRevD.66.024034 | null | hep-th gr-qc | null | We obtain geodesically complete spacetimes generated by static and rotating
magnetic point sources in an Einstein-Maxwell-Dilaton theory of the Brans-Dicke
type in three dimensions (3D). The theory is specified by three fields, the
dilaton, the graviton and the electromagnetic field, and two parameters, the
cosmological constant and the Brans-Dicke parameter, w. When the Brans-Dicke
parameter is infinity, our solution reduces to the magnetic counterpart of the
BTZ solution, while the w=0 case is equivalent to 4D general relativity with
one Killing vector. The source for the magnetic field can be interpreted as
composed by a system of two symmetric and superposed electric charges. One of
the electric charges is at rest and the other is spinning.
| [
{
"created": "Tue, 11 Jun 2002 13:57:58 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Dias",
"Oscar J. C.",
""
],
[
"Lemos",
"Jose' P. S.",
""
]
] | We obtain geodesically complete spacetimes generated by static and rotating magnetic point sources in an Einstein-Maxwell-Dilaton theory of the Brans-Dicke type in three dimensions (3D). The theory is specified by three fields, the dilaton, the graviton and the electromagnetic field, and two parameters, the cosmological constant and the Brans-Dicke parameter, w. When the Brans-Dicke parameter is infinity, our solution reduces to the magnetic counterpart of the BTZ solution, while the w=0 case is equivalent to 4D general relativity with one Killing vector. The source for the magnetic field can be interpreted as composed by a system of two symmetric and superposed electric charges. One of the electric charges is at rest and the other is spinning. |
0710.1228 | Eiji Konishi | Eiji Konishi | Axion-Dilaton Quantum String Cosmology for Flux Compactification and its
Symmetry Breaking | 10 pages, LaTeX, v7: substantial revisions | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Wheeler-De Witt equation of type IIB quantum string cosmology
compactified with constant internal H-fluxes on a 6-torus, whose volume modulus
is frozen, is solved under the WKB approximation. The spontaneous symmetry
breaking of the S-duality group by H-fluxes is also examined.
| [
{
"created": "Fri, 5 Oct 2007 13:55:59 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Oct 2007 02:22:41 GMT",
"version": "v2"
},
{
"created": "Tue, 6 Nov 2007 14:50:52 GMT",
"version": "v3"
},
{
"created": "Sat, 22 Dec 2007 17:21:17 GMT",
"version": "v4"
},
{
"created": "Fri, 11 Jan 2008 03:34:57 GMT",
"version": "v5"
},
{
"created": "Tue, 26 Feb 2008 09:51:43 GMT",
"version": "v6"
},
{
"created": "Wed, 15 Feb 2012 13:26:14 GMT",
"version": "v7"
}
] | 2012-02-16 | [
[
"Konishi",
"Eiji",
""
]
] | The Wheeler-De Witt equation of type IIB quantum string cosmology compactified with constant internal H-fluxes on a 6-torus, whose volume modulus is frozen, is solved under the WKB approximation. The spontaneous symmetry breaking of the S-duality group by H-fluxes is also examined. |
1702.03076 | Alberto Molgado | Jasel Berra-Montiel, Eslava del R\'io, Alberto Molgado | Polysymplectic formulation for topologically massive Yang-Mills field
theory | 19 pages, no figures. Published version | Int. J. Mod. Phys. A32 1750101 (2017) | 10.1142/S0217751X17501019 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze the De Donder-Weyl covariant field equations for the topologically
massive Yang-Mills theory. These equations are obtained through the
Poisson-Gerstenhaber bracket described within the polysymplectic framework.
Even though the Lagrangian defining the system of our interest is singular, we
show that by appropriately choosing the polymomenta one may obtain an
equivalent regular Lagrangian, thus avoiding the standard analysis of
constraints. Further, our simple treatment allows us to only consider the
privileged $(n-1)$-forms in order to obtain the correct field equations, in
opposition to certain examples found in the literature.
| [
{
"created": "Fri, 10 Feb 2017 06:20:24 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Jun 2017 13:27:06 GMT",
"version": "v2"
}
] | 2017-06-23 | [
[
"Berra-Montiel",
"Jasel",
""
],
[
"del Río",
"Eslava",
""
],
[
"Molgado",
"Alberto",
""
]
] | We analyze the De Donder-Weyl covariant field equations for the topologically massive Yang-Mills theory. These equations are obtained through the Poisson-Gerstenhaber bracket described within the polysymplectic framework. Even though the Lagrangian defining the system of our interest is singular, we show that by appropriately choosing the polymomenta one may obtain an equivalent regular Lagrangian, thus avoiding the standard analysis of constraints. Further, our simple treatment allows us to only consider the privileged $(n-1)$-forms in order to obtain the correct field equations, in opposition to certain examples found in the literature. |
1311.5698 | Roberto Casadio | Roberto Casadio, Octavian Micu, Fabio Scardigli | Quantum hoop conjecture: Black hole formation by particle collisions | RevTeX 6 pages, 3 figures. Final version to appear in PLB | null | 10.1016/j.physletb.2014.03.037 | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We address the issue of (quantum) black hole formation by particle collision
in quantum physics. We start by constructing the horizon wave-function for
quantum mechanical states representing two highly boosted non-interacting
particles that collide in flat one-dimensional space. From this wave-function,
we then derive a probability that the system becomes a black hole as a function
of the initial momenta and spatial separation between the particles. This
probability allows us to extend the hoop conjecture to quantum mechanics and
estimate corrections to its classical counterpart.
| [
{
"created": "Fri, 22 Nov 2013 10:22:55 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Mar 2014 10:17:16 GMT",
"version": "v2"
}
] | 2015-06-18 | [
[
"Casadio",
"Roberto",
""
],
[
"Micu",
"Octavian",
""
],
[
"Scardigli",
"Fabio",
""
]
] | We address the issue of (quantum) black hole formation by particle collision in quantum physics. We start by constructing the horizon wave-function for quantum mechanical states representing two highly boosted non-interacting particles that collide in flat one-dimensional space. From this wave-function, we then derive a probability that the system becomes a black hole as a function of the initial momenta and spatial separation between the particles. This probability allows us to extend the hoop conjecture to quantum mechanics and estimate corrections to its classical counterpart. |
hep-th/9205048 | E. Elizalde | E. Elizalde and S.D.Odintsov (Department E.C.M., Faculty of Physics,
University of Barcelona, Spain) | Higher derivative quantum gravity with torsion in the conformally
Self-Dual Limit | 10 pages | Int.J.Mod.Phys.D2:51-58,1993 | 10.1142/S0218271893000040 | UB-ECM-PF 92/12 | hep-th | null | The path integral for higher-derivative quantum gravity with torsion is
considered. Applying the methods of two-dimensional quantum gravity, this path
integral is analyzed in the limit of conformally self-dual metrics. A scaling
law for fixed-volume geometry is obtained.
| [
{
"created": "Fri, 15 May 1992 15:30:12 GMT",
"version": "v1"
}
] | 2009-09-17 | [
[
"Elizalde",
"E.",
"",
"Department E.C.M., Faculty of Physics,\n University of Barcelona, Spain"
],
[
"Odintsov",
"S. D.",
"",
"Department E.C.M., Faculty of Physics,\n University of Barcelona, Spain"
]
] | The path integral for higher-derivative quantum gravity with torsion is considered. Applying the methods of two-dimensional quantum gravity, this path integral is analyzed in the limit of conformally self-dual metrics. A scaling law for fixed-volume geometry is obtained. |
1601.03846 | Sanefumi Moriyama | Sanefumi Moriyama, Takao Suyama | Orthosymplectic Chern-Simons Matrix Model and Chirality Projection | 20 pages, 1 figure, v2: minor changes | null | 10.1007/JHEP04(2016)132 | OCU-PHYS 437 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently it was found that the density matrix for a certain orthosymplectic
Chern-Simons theory matches with that for the ABJM theory with the odd chiral
projection. We prove this fact for a general case with the inclusion of
fractional branes. We also identify the first few diagonal Gopakumar-Vafa
invariants for the grand potential constructed from the chirally projected
density matrix.
| [
{
"created": "Fri, 15 Jan 2016 09:16:08 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Feb 2016 02:09:08 GMT",
"version": "v2"
}
] | 2016-05-25 | [
[
"Moriyama",
"Sanefumi",
""
],
[
"Suyama",
"Takao",
""
]
] | Recently it was found that the density matrix for a certain orthosymplectic Chern-Simons theory matches with that for the ABJM theory with the odd chiral projection. We prove this fact for a general case with the inclusion of fractional branes. We also identify the first few diagonal Gopakumar-Vafa invariants for the grand potential constructed from the chirally projected density matrix. |
1010.1550 | Andrey Sadofyev | A.V. Sadofyev, M.V. Isachenkov | The chiral magnetic effect in hydrodynamical approach | 4 pages | Phys.Lett.B697:404-406,2011 | 10.1016/j.physletb.2011.02.041 | ITEP-LAT/2010-08 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In quark-gluon plasma nonzero chirality can be induced by the chiral anomaly.
When a magnetic field is applied to a system with nonzero chirality an
electromagnetic current is induced along the magnetic field. This phenomenon is
called the chiral magnetic effect. In this paper appearance of the chiral
magnetic effect in hydrodynamical approximation is shown. We consider a
hydrodynamical model for chiral liquid with two independent currents of left
and right handed particles in the presence of the chiral anomaly.
| [
{
"created": "Thu, 7 Oct 2010 21:20:18 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Nov 2010 14:09:27 GMT",
"version": "v2"
}
] | 2011-03-02 | [
[
"Sadofyev",
"A. V.",
""
],
[
"Isachenkov",
"M. V.",
""
]
] | In quark-gluon plasma nonzero chirality can be induced by the chiral anomaly. When a magnetic field is applied to a system with nonzero chirality an electromagnetic current is induced along the magnetic field. This phenomenon is called the chiral magnetic effect. In this paper appearance of the chiral magnetic effect in hydrodynamical approximation is shown. We consider a hydrodynamical model for chiral liquid with two independent currents of left and right handed particles in the presence of the chiral anomaly. |
hep-th/9404015 | P. K. Ghosh | Pijush K. Ghosh and Avinash Khare | Self-Dual Charged Vortices of Finite Energy per Unit Length in $3+1$
Dimensions | 10 pages, RevTeX, IP/BBSR/94-14 | null | null | null | hep-th | null | We obtain both topological as well as nontopological self-dual charged vortex
solutions of finite energy per unit length in a generalized abelian Higgs model
in $3+1$ dimensions. In this model the Bogomol'nyi bound on the energy per unit
length is obtained as a linear combination of the magnetic flux and the
electric charge per unit length.
| [
{
"created": "Mon, 4 Apr 1994 16:19:56 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Ghosh",
"Pijush K.",
""
],
[
"Khare",
"Avinash",
""
]
] | We obtain both topological as well as nontopological self-dual charged vortex solutions of finite energy per unit length in a generalized abelian Higgs model in $3+1$ dimensions. In this model the Bogomol'nyi bound on the energy per unit length is obtained as a linear combination of the magnetic flux and the electric charge per unit length. |
1105.6285 | Manuel Array\'as | Manuel Array\'as and Jos\'e L. Trueba | Exchange of helicity in a knotted electromagnetic field | 9 pages, 6 fig | Ann. Phys. (Berlin) 524, No. 2, 71-75 (2012) | 10.1002/andp.201100119 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we present for the first time an exact solution of Maxwell
equations in vacuum, having non trivial topology, in which there is an exchange
of helicity between the electric and magnetic part of such field. We calculate
the temporal evolution of the magnetic and electric helicities, and explain the
exchange of helicity making use of the Chern-Simon form. We also have found and
explained that, as time goes to infinity, both helicities reach the same value
and the exchange between the magnetic and electric part of the field stops.
| [
{
"created": "Tue, 31 May 2011 14:01:08 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Jun 2011 10:49:38 GMT",
"version": "v2"
}
] | 2012-02-08 | [
[
"Arrayás",
"Manuel",
""
],
[
"Trueba",
"José L.",
""
]
] | In this work we present for the first time an exact solution of Maxwell equations in vacuum, having non trivial topology, in which there is an exchange of helicity between the electric and magnetic part of such field. We calculate the temporal evolution of the magnetic and electric helicities, and explain the exchange of helicity making use of the Chern-Simon form. We also have found and explained that, as time goes to infinity, both helicities reach the same value and the exchange between the magnetic and electric part of the field stops. |
2306.09314 | Marc Klinger | Marc S. Klinger and Robert G. Leigh | Crossed Products, Extended Phase Spaces and the Resolution of
Entanglement Singularities | 39 pages, 1 figure, new content added in section 2, clarifications
made in section 4. V3: New discussion of generalized entropy in Section 2,
citations added. V4: Added Appendix E introducing left Haar systems for Lie
groupoids and crossed products of C* algebras by locally compact topological
groupoids | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We identify a direct correspondence between the crossed product construction
which plays a crucial role in the theory of Type III von Neumann algebras, and
the extended phase space construction which restores the integrability of
non-zero charges generated by gauge symmetries in the presence of spatial
substructures. This correspondence provides a blue-print for resolving
singularities which are encountered in the computation of entanglement entropy
for subregions in quantum field theories. The extended phase space encodes
quantities that would be regarded as `pure gauge' from the perspective of the
full theory, but are nevertheless necessary for gluing together, in a path
integral sense, physics in different subregions. These quantities are required
in order to maintain gauge covariance under such gluings. The crossed product
provides a consistent method for incorporating these necessary degrees of
freedom into the operator algebra associated with a given subregion. In this
way, the extended phase space completes the subregion algebra and subsequently
allows for the assignment of a meaningful, finite entropy to states therein.
| [
{
"created": "Thu, 15 Jun 2023 17:48:48 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Jun 2023 17:58:59 GMT",
"version": "v2"
},
{
"created": "Tue, 17 Oct 2023 21:20:25 GMT",
"version": "v3"
},
{
"created": "Wed, 20 Dec 2023 20:46:24 GMT",
"version": "v4"
}
] | 2023-12-22 | [
[
"Klinger",
"Marc S.",
""
],
[
"Leigh",
"Robert G.",
""
]
] | We identify a direct correspondence between the crossed product construction which plays a crucial role in the theory of Type III von Neumann algebras, and the extended phase space construction which restores the integrability of non-zero charges generated by gauge symmetries in the presence of spatial substructures. This correspondence provides a blue-print for resolving singularities which are encountered in the computation of entanglement entropy for subregions in quantum field theories. The extended phase space encodes quantities that would be regarded as `pure gauge' from the perspective of the full theory, but are nevertheless necessary for gluing together, in a path integral sense, physics in different subregions. These quantities are required in order to maintain gauge covariance under such gluings. The crossed product provides a consistent method for incorporating these necessary degrees of freedom into the operator algebra associated with a given subregion. In this way, the extended phase space completes the subregion algebra and subsequently allows for the assignment of a meaningful, finite entropy to states therein. |
hep-th/9808070 | Emil Mottola | Ignatios Antoniadis, Pawel O. Mazur, and Emil Mottola | Fractal Geometry of Quantum Spacetime at Large Scales | LaTeX 2.09 File, using RevTex and epsf inputs with 2 figures | Phys.Lett. B444 (1998) 284-292 | 10.1016/S0370-2693(98)01375-6 | LA-UR-98-3410, CPHT-S638.0898 | hep-th | null | We compute the intrinsic Hausdorff dimension of spacetime at the infrared
fixed point of the quantum conformal factor in 4D gravity. The fractal
dimension is defined by the appropriate covariant diffusion equation in four
dimensions and is determined by the coefficient of the Gauss-Bonnet term in the
trace anomaly to be generally greater than 4. In addition to being testable in
simplicial simulations, this scaling behavior suggests a physical mechanism for
the screening of the effective cosmological `constant' and inverse Newtonian
coupling at very large distance scales, which has implications for the dark
matter content and large scale structure of the universe.
| [
{
"created": "Wed, 12 Aug 1998 20:29:24 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Antoniadis",
"Ignatios",
""
],
[
"Mazur",
"Pawel O.",
""
],
[
"Mottola",
"Emil",
""
]
] | We compute the intrinsic Hausdorff dimension of spacetime at the infrared fixed point of the quantum conformal factor in 4D gravity. The fractal dimension is defined by the appropriate covariant diffusion equation in four dimensions and is determined by the coefficient of the Gauss-Bonnet term in the trace anomaly to be generally greater than 4. In addition to being testable in simplicial simulations, this scaling behavior suggests a physical mechanism for the screening of the effective cosmological `constant' and inverse Newtonian coupling at very large distance scales, which has implications for the dark matter content and large scale structure of the universe. |
1108.0981 | Jiajun Xu | Gary Shiu and Jiajun Xu | Effective Field Theory and Decoupling in Multi-field Inflation: An
Illustrative Case Study | 24 pages, 2 figures, references added | null | 10.1103/PhysRevD.84.103509 | null | hep-th astro-ph.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore the effects of heavy degrees of freedom on the evolution and
perturbations of light modes in multifield inflation. We use a simple two-field
model as an example to illustrate the subtleties of integrating out massive
fields in a time-dependent background. We show that when adiabaticity is
violated due to a sharp turn in field space, the roles of massive and massless
field are interchanged, and furthermore the fields are strongly coupled; thus
the system cannot be described by an effective single field action. Further
analysis shows that the sharp turn imparts a non Bunch-Davis component in each
perturbation mode, leading to oscillatory features in the power spectrum, and a
large resonantly enhanced bispectrum.
| [
{
"created": "Thu, 4 Aug 2011 02:06:40 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Aug 2011 02:06:51 GMT",
"version": "v2"
}
] | 2015-03-19 | [
[
"Shiu",
"Gary",
""
],
[
"Xu",
"Jiajun",
""
]
] | We explore the effects of heavy degrees of freedom on the evolution and perturbations of light modes in multifield inflation. We use a simple two-field model as an example to illustrate the subtleties of integrating out massive fields in a time-dependent background. We show that when adiabaticity is violated due to a sharp turn in field space, the roles of massive and massless field are interchanged, and furthermore the fields are strongly coupled; thus the system cannot be described by an effective single field action. Further analysis shows that the sharp turn imparts a non Bunch-Davis component in each perturbation mode, leading to oscillatory features in the power spectrum, and a large resonantly enhanced bispectrum. |
1310.5861 | Ram Brustein | Ram Brustein, A.J.M. Medved | Phases of information release during black hole evaporation | 51 pages, 1 figure | null | 10.1007/JHEP02(2014)116 | LMU-ASC 71/13 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a recent article, we have shown how quantum fluctuations of the background
geometry modify Hawking's density matrix for black hole (BH) radiation.
Hawking's diagonal matrix picks up small off-diagonal elements whose influence
becomes larger with the number of emitted particles. We have calculated the
"time-of-first-bit", when the first bit of information comes out of the BH, and
the "transparency time", when the rate of information release becomes order
unity. We have found that the transparency time is equal to the "Page time",
when the BH has lost half of its initial entropy to the radiation, in agreement
with Page's results. Here, we improve our previous calculation by keeping track
of the time of emission of the Hawking particles and their back-reaction on the
BH. Our analysis reveals a new time scale, the radiation "coherence time",
which is equal to the geometric mean of the evaporation time and the light
crossing time. We find, as for our previous treatment, that the
time-of-first-bit is equal to the coherence time, which is much shorter than
the Page time. But the transparency time is now much later than the Page time,
just one coherence time before the end of evaporation. Close to the end, when
the BH is parametrically of Planckian dimensions but still large, the coherence
time becomes parametrically equal to the evaporation time, thus allowing the
radiation to purify. We also determine the time dependence of the entanglement
entropy of the early and late-emitted radiation. This entropy is small during
most of the lifetime of the BH, but our qualitative analysis suggests that it
becomes parametrically maximal near the end of evaporation.
| [
{
"created": "Tue, 22 Oct 2013 09:59:31 GMT",
"version": "v1"
}
] | 2015-06-17 | [
[
"Brustein",
"Ram",
""
],
[
"Medved",
"A. J. M.",
""
]
] | In a recent article, we have shown how quantum fluctuations of the background geometry modify Hawking's density matrix for black hole (BH) radiation. Hawking's diagonal matrix picks up small off-diagonal elements whose influence becomes larger with the number of emitted particles. We have calculated the "time-of-first-bit", when the first bit of information comes out of the BH, and the "transparency time", when the rate of information release becomes order unity. We have found that the transparency time is equal to the "Page time", when the BH has lost half of its initial entropy to the radiation, in agreement with Page's results. Here, we improve our previous calculation by keeping track of the time of emission of the Hawking particles and their back-reaction on the BH. Our analysis reveals a new time scale, the radiation "coherence time", which is equal to the geometric mean of the evaporation time and the light crossing time. We find, as for our previous treatment, that the time-of-first-bit is equal to the coherence time, which is much shorter than the Page time. But the transparency time is now much later than the Page time, just one coherence time before the end of evaporation. Close to the end, when the BH is parametrically of Planckian dimensions but still large, the coherence time becomes parametrically equal to the evaporation time, thus allowing the radiation to purify. We also determine the time dependence of the entanglement entropy of the early and late-emitted radiation. This entropy is small during most of the lifetime of the BH, but our qualitative analysis suggests that it becomes parametrically maximal near the end of evaporation. |
hep-th/9808174 | Mauro Sergio Goes Negrao | M. G. Negrao, A. Penna-Firme and J. A. Helayel-Neto | Anti-symmetric Tensor Matter Fields and Non-Linear Sigma-Model | 9 pages, Latex | null | null | null | hep-th | null | The equivalence between rank-2 anti-symmetric tensor fields, considered as
gauge potentials, and torsionless non-linear $\sigma$-models suggests us to
study the possibility of coupling tensorial matter with Yang-Mills fields,
through the gauging of the isometries of the target space. We show that this
coupling is actually possible; however, the matter appears no longer as an
elementary field, but rather as a composite one, expressed in terms of the
bosonic degrees of freedom of the $\sigma$-model. A possible phenomenological
application is presented that describes the interactions among vector mesons in
terms of the geometrical properties of the target manifold. Also, spin-2 meson
resonances may naturally be accommodated whenever the $\sigma$-model's target
manifold is non-symmetric.
| [
{
"created": "Fri, 28 Aug 1998 18:10:58 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Negrao",
"M. G.",
""
],
[
"Penna-Firme",
"A.",
""
],
[
"Helayel-Neto",
"J. A.",
""
]
] | The equivalence between rank-2 anti-symmetric tensor fields, considered as gauge potentials, and torsionless non-linear $\sigma$-models suggests us to study the possibility of coupling tensorial matter with Yang-Mills fields, through the gauging of the isometries of the target space. We show that this coupling is actually possible; however, the matter appears no longer as an elementary field, but rather as a composite one, expressed in terms of the bosonic degrees of freedom of the $\sigma$-model. A possible phenomenological application is presented that describes the interactions among vector mesons in terms of the geometrical properties of the target manifold. Also, spin-2 meson resonances may naturally be accommodated whenever the $\sigma$-model's target manifold is non-symmetric. |
1401.3672 | Jorge Russo | Alejandro Barranco and Jorge G. Russo | Large N phase transitions in supersymmetric Chern-Simons theory with
massive matter | 15 pages, 6 figures. V2: new equation for Wilson loop added | null | 10.1007/JHEP03(2014)012 | ICCUB-14-002 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study three-dimensional {\cal N}=2 U(N) Chern-Simons theory on S^3 coupled
to 2N_f chiral multiplets deformed by mass terms. The partition function
localizes to a matrix integral, which can be exactly computed in the large N
limit. In a specific decompactification limit, the theory exhibits quantum
(third-order) phase transitions at finite critical values of the coupling. The
theory presents three phases when 0 < N_f < N and two phases when N_f\geq N.
The vacuum expectation value of the supersymmetric circular Wilson loop has a
discontinuity in the first derivative.
| [
{
"created": "Wed, 15 Jan 2014 17:03:20 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Jan 2014 16:58:03 GMT",
"version": "v2"
}
] | 2015-06-18 | [
[
"Barranco",
"Alejandro",
""
],
[
"Russo",
"Jorge G.",
""
]
] | We study three-dimensional {\cal N}=2 U(N) Chern-Simons theory on S^3 coupled to 2N_f chiral multiplets deformed by mass terms. The partition function localizes to a matrix integral, which can be exactly computed in the large N limit. In a specific decompactification limit, the theory exhibits quantum (third-order) phase transitions at finite critical values of the coupling. The theory presents three phases when 0 < N_f < N and two phases when N_f\geq N. The vacuum expectation value of the supersymmetric circular Wilson loop has a discontinuity in the first derivative. |
2104.11845 | Naoki Sasakura | Naoki Sasakura | Phase profile of the wave function of canonical tensor model and
emergence of large spacetimes | 19 pages, 8 figures | null | 10.1142/S0217751X21502225 | YITP-21-36 | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | To understand spacetime dynamics in the canonical tensor model of quantum
gravity for the positive cosmological constant case, we analytically and
numerically study the phase profile of its exact wave function in a coordinate
representation, instead of the momentum representation analyzed so far. A
saddle point analysis shows that Lie group symmetric spacetimes are strongly
favored due to abundance of continuously existing saddle points, giving an
emergent fluid picture. The phase profile suggests that spatial sizes grow in
"time", where sizes are measured by the tensor-geometry correspondence
previously introduced using tensor rank decomposition. Monte Carlo simulations
are also performed for a few small $N$ cases by applying a re-weighting
procedure to an oscillatory integral which expresses the wave function. The
results agree well with the saddle point analysis, but the phase profile is
subject to disturbances in a large spacetime region, suggesting existence of
light modes there and motivating future computations of primordial fluctuations
from the perspective of canonical tensor model.
| [
{
"created": "Sat, 24 Apr 2021 00:32:35 GMT",
"version": "v1"
}
] | 2021-12-01 | [
[
"Sasakura",
"Naoki",
""
]
] | To understand spacetime dynamics in the canonical tensor model of quantum gravity for the positive cosmological constant case, we analytically and numerically study the phase profile of its exact wave function in a coordinate representation, instead of the momentum representation analyzed so far. A saddle point analysis shows that Lie group symmetric spacetimes are strongly favored due to abundance of continuously existing saddle points, giving an emergent fluid picture. The phase profile suggests that spatial sizes grow in "time", where sizes are measured by the tensor-geometry correspondence previously introduced using tensor rank decomposition. Monte Carlo simulations are also performed for a few small $N$ cases by applying a re-weighting procedure to an oscillatory integral which expresses the wave function. The results agree well with the saddle point analysis, but the phase profile is subject to disturbances in a large spacetime region, suggesting existence of light modes there and motivating future computations of primordial fluctuations from the perspective of canonical tensor model. |
1512.06431 | S. Josephine Suh | Daniel L. Jafferis, Aitor Lewkowycz, Juan Maldacena, S. Josephine Suh | Relative entropy equals bulk relative entropy | 23 pages, 3 figures | null | 10.1007/JHEP06(2016)004 | NSF-KITP-15-162 | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the gravity dual of the modular Hamiltonian associated to a
general subregion of a boundary theory. We use it to argue that the relative
entropy of nearby states is given by the relative entropy in the bulk, to
leading order in the bulk gravitational coupling. We also argue that the
boundary modular flow is dual to the bulk modular flow in the entanglement
wedge, with implications for entanglement wedge reconstruction.
| [
{
"created": "Sun, 20 Dec 2015 20:50:58 GMT",
"version": "v1"
}
] | 2016-06-29 | [
[
"Jafferis",
"Daniel L.",
""
],
[
"Lewkowycz",
"Aitor",
""
],
[
"Maldacena",
"Juan",
""
],
[
"Suh",
"S. Josephine",
""
]
] | We consider the gravity dual of the modular Hamiltonian associated to a general subregion of a boundary theory. We use it to argue that the relative entropy of nearby states is given by the relative entropy in the bulk, to leading order in the bulk gravitational coupling. We also argue that the boundary modular flow is dual to the bulk modular flow in the entanglement wedge, with implications for entanglement wedge reconstruction. |
1608.04222 | Burkhard Eden | Burkhard Eden, Felix Paul | Half-BPS half-BPS twist two at four loops in N=4 SYM | 12 pages, LaTeX | null | null | HU-EP-16/25 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a double OPE limit of the planar four-point function of stress
tensor multiplets in N = 4 SYM theory. Loop integrands for this correlator have
been constructed to very high order, but the corresponding integrals are
explicitly known only up to three loops. Fortunately, the double coincidence
limit of the four-loop integrals can be found by the method of expansion by
regions, which reduces the problem of computing the four-point integrals to the
evaluation of a large set of massless propagator integrals. These can in turn
be evaluated by IBP reduction.
The OPE limit of the stress tensor four-point function allows us to extract
the (square of the) three-point couplings between two stress tensor multiplets
and one twist two operator in the 20' of SU(4). The latest available IBP
software accomplishes this task up to and including spin 8. With the data
obtained we hope to further the development of the recent integrable systems
picture for correlation functions.
| [
{
"created": "Mon, 15 Aug 2016 09:59:45 GMT",
"version": "v1"
}
] | 2016-08-16 | [
[
"Eden",
"Burkhard",
""
],
[
"Paul",
"Felix",
""
]
] | We consider a double OPE limit of the planar four-point function of stress tensor multiplets in N = 4 SYM theory. Loop integrands for this correlator have been constructed to very high order, but the corresponding integrals are explicitly known only up to three loops. Fortunately, the double coincidence limit of the four-loop integrals can be found by the method of expansion by regions, which reduces the problem of computing the four-point integrals to the evaluation of a large set of massless propagator integrals. These can in turn be evaluated by IBP reduction. The OPE limit of the stress tensor four-point function allows us to extract the (square of the) three-point couplings between two stress tensor multiplets and one twist two operator in the 20' of SU(4). The latest available IBP software accomplishes this task up to and including spin 8. With the data obtained we hope to further the development of the recent integrable systems picture for correlation functions. |
1210.0863 | Alisha Wissanji | Alisha Wissanji | F-theory and M-theory perspectives on N=2 supersymmetric gauge theories
in four dimensions | PhD Thesis | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Deformations of the original F-theory background are proposed. These lead to
multiple new dualities and physical phenomena. We concentrate on one model
where we let seven-branes wrap a multi-centered Taub-NUT space instead of R4.
This configuration provides a successful F-theory embedding of a class of
recently proposed four-dimensional N = 2 superconformal (SCFT) \`a la Gaiotto.
Aspects of Argyres- Seiberg duality, of the new Gaiotto duality, as well as of
the branes network of Benini- Benvenuti and Tachikawa are captured by our
construction. The supergravity theory for the conformal case is also briefly
discussed. Extending our construction to the non-conformal case, we find
interesting cascading behavior in four-dimensional gauge theories with N = 2
supersymmetry. Since the analysis of this unexpected phenomenon is quite
difficult in the language of type IIB/F-theory, we turn to the type
IIA/M-theory description where the origin of the N = 2 cascade is clarified.
Using the T-dual type IIA brane language, we first start by studying the N = 1
supersymmetric cascading gauge theory found in type IIB string theory on p
regular and M fractional D3-branes at the tip of the conifold. We reproduce the
supersymmetric vacuum structure of this theory. We also show that the IIA
analog of the non-supersymmetric state found by Kachru, Pearson and Verlinde in
the IIB description is metastable in string theory, but the barrier for
tunneling to the supersymmetric vacuum goes to infinity in the field theory
limit. We then use the techniques we have developed to analyze the N = 2
supersymmetric gauge theory corresponding to regular and fractional D3-branes
on a near-singular K3, and clarify the origin of the cascade in this theory.
| [
{
"created": "Tue, 2 Oct 2012 18:04:46 GMT",
"version": "v1"
}
] | 2012-10-03 | [
[
"Wissanji",
"Alisha",
""
]
] | Deformations of the original F-theory background are proposed. These lead to multiple new dualities and physical phenomena. We concentrate on one model where we let seven-branes wrap a multi-centered Taub-NUT space instead of R4. This configuration provides a successful F-theory embedding of a class of recently proposed four-dimensional N = 2 superconformal (SCFT) \`a la Gaiotto. Aspects of Argyres- Seiberg duality, of the new Gaiotto duality, as well as of the branes network of Benini- Benvenuti and Tachikawa are captured by our construction. The supergravity theory for the conformal case is also briefly discussed. Extending our construction to the non-conformal case, we find interesting cascading behavior in four-dimensional gauge theories with N = 2 supersymmetry. Since the analysis of this unexpected phenomenon is quite difficult in the language of type IIB/F-theory, we turn to the type IIA/M-theory description where the origin of the N = 2 cascade is clarified. Using the T-dual type IIA brane language, we first start by studying the N = 1 supersymmetric cascading gauge theory found in type IIB string theory on p regular and M fractional D3-branes at the tip of the conifold. We reproduce the supersymmetric vacuum structure of this theory. We also show that the IIA analog of the non-supersymmetric state found by Kachru, Pearson and Verlinde in the IIB description is metastable in string theory, but the barrier for tunneling to the supersymmetric vacuum goes to infinity in the field theory limit. We then use the techniques we have developed to analyze the N = 2 supersymmetric gauge theory corresponding to regular and fractional D3-branes on a near-singular K3, and clarify the origin of the cascade in this theory. |
1911.03352 | Adalto R. Gomes | D. Bazeia, Adalto R. Gomes, K. Z. Nobrega, Fabiano C. Simas | Oscillons in hyperbolic models | 17 pages, 8 figures | Phys. Lett. B 803 (2020) 135291 | 10.1016/j.physletb.2020.135291 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we examine kink-antikink collisions in two distinct hyperbolic
models. The models depend on a deformation parameter, which controls two main
characteristics of the potential with two degenerate minima: the height of the
barrier and the values of the minima. In particular, the rest mass of the kinks
decreases monotonically as the deformation parameter increases, and we identify
the appearance of a gradual suppression of two bounce windows in the kink
scattering and the production of long lived oscillons. The two effects are
reported in connection to the presence of more than one vibrational state in
the stability potential.
| [
{
"created": "Fri, 8 Nov 2019 16:18:23 GMT",
"version": "v1"
}
] | 2020-02-25 | [
[
"Bazeia",
"D.",
""
],
[
"Gomes",
"Adalto R.",
""
],
[
"Nobrega",
"K. Z.",
""
],
[
"Simas",
"Fabiano C.",
""
]
] | In this work we examine kink-antikink collisions in two distinct hyperbolic models. The models depend on a deformation parameter, which controls two main characteristics of the potential with two degenerate minima: the height of the barrier and the values of the minima. In particular, the rest mass of the kinks decreases monotonically as the deformation parameter increases, and we identify the appearance of a gradual suppression of two bounce windows in the kink scattering and the production of long lived oscillons. The two effects are reported in connection to the presence of more than one vibrational state in the stability potential. |
1101.4145 | Yu-Xiao Liu | Yu-Xiao Liu, Heng Guo, Chun-E Fu, Hai-Tao Li | Localization of Bulk Matters on a Thick Anti-de Sitter Brane | 23 pages, 9 figures | Phys.Rev.D84:044033,2011 | 10.1103/PhysRevD.84.044033 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we investigate the localization and the mass spectra of
gravity and various bulk matter fields on a thick anti-de Sitter (AdS) brane,
by presenting the mass-independent potentials of the Kaluza-Klein (KK) modes in
the corresponding Schr\"{o}dinger equations. For gravity, the potential of the
KK modes tends to infinity at the boundaries of the extra dimension, which
leads to an infinite number of the bound KK modes. Although the gravity zero
mode cannot be localized on the AdS brane, the massive modes are trapped on the
brane. The scalar perturbations of the thick AdS brane have been analyzed, and
the brane is stable under the scalar perturbations. For spin-0 scalar fields
and spin-1 vector fields, the potentials of the KK modes also tend to infinity
at the boundaries of the extra dimension, and the characteristic of the
localization is the same as the case of gravity. For spin-1/2 fermions, by
introducing the usual Yukawa coupling $\eta\bar{\Psi}\phi\Psi$ with the
positive coupling constant $\eta$, the four-dimensional massless left-chiral
fermion and massive Dirac fermions are obtained on the AdS thick brane.
| [
{
"created": "Fri, 21 Jan 2011 14:33:22 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Jul 2011 02:13:57 GMT",
"version": "v2"
},
{
"created": "Thu, 11 Aug 2011 13:45:15 GMT",
"version": "v3"
}
] | 2015-03-17 | [
[
"Liu",
"Yu-Xiao",
""
],
[
"Guo",
"Heng",
""
],
[
"Fu",
"Chun-E",
""
],
[
"Li",
"Hai-Tao",
""
]
] | In this paper, we investigate the localization and the mass spectra of gravity and various bulk matter fields on a thick anti-de Sitter (AdS) brane, by presenting the mass-independent potentials of the Kaluza-Klein (KK) modes in the corresponding Schr\"{o}dinger equations. For gravity, the potential of the KK modes tends to infinity at the boundaries of the extra dimension, which leads to an infinite number of the bound KK modes. Although the gravity zero mode cannot be localized on the AdS brane, the massive modes are trapped on the brane. The scalar perturbations of the thick AdS brane have been analyzed, and the brane is stable under the scalar perturbations. For spin-0 scalar fields and spin-1 vector fields, the potentials of the KK modes also tend to infinity at the boundaries of the extra dimension, and the characteristic of the localization is the same as the case of gravity. For spin-1/2 fermions, by introducing the usual Yukawa coupling $\eta\bar{\Psi}\phi\Psi$ with the positive coupling constant $\eta$, the four-dimensional massless left-chiral fermion and massive Dirac fermions are obtained on the AdS thick brane. |
1304.3562 | Emanuele Messina | Vincenzo Branchina, Emanuele Messina, Dario Zappal\`a | A compared analysis of the susceptibility in the O(N) theory | null | null | 10.1142/S0217751X13500784 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The longitudinal susceptibility $\chi_L$ of the O(N) theory in the broken
phase is analyzed by means of three different approaches, namely the leading
contribution of the 1/N expansion, the Functional Renormalization Group flow in
the Local Potential approximation and the improved effective potential via the
Callan-Symanzik equations, properly extended to $d=4$ dimensions through the
expansion in powers of $\epsilon=4-d$. The findings of the three approaches are
compared and their agreement in the large $N$ limit is shown. The numerical
analysis of the Functional Renormalization Group flow equations at small $N$
supports the vanishing of $\chi_L^{-1}$ in $d=3$ and $d=3.5$ but is not
conclusive in $d=4$, where we have to resort to the Callan-Smanzik approach. At
finite $N$ as well as in the limit $N\to\infty$, we find that $\chi^{-1}_L$
vanishes with $J$ as $J^{\epsilon/2}$ for $\epsilon>0$ and as $(\ln (J))^{-1}$
in $d=4$.
| [
{
"created": "Fri, 12 Apr 2013 07:58:41 GMT",
"version": "v1"
}
] | 2015-06-15 | [
[
"Branchina",
"Vincenzo",
""
],
[
"Messina",
"Emanuele",
""
],
[
"Zappalà",
"Dario",
""
]
] | The longitudinal susceptibility $\chi_L$ of the O(N) theory in the broken phase is analyzed by means of three different approaches, namely the leading contribution of the 1/N expansion, the Functional Renormalization Group flow in the Local Potential approximation and the improved effective potential via the Callan-Symanzik equations, properly extended to $d=4$ dimensions through the expansion in powers of $\epsilon=4-d$. The findings of the three approaches are compared and their agreement in the large $N$ limit is shown. The numerical analysis of the Functional Renormalization Group flow equations at small $N$ supports the vanishing of $\chi_L^{-1}$ in $d=3$ and $d=3.5$ but is not conclusive in $d=4$, where we have to resort to the Callan-Smanzik approach. At finite $N$ as well as in the limit $N\to\infty$, we find that $\chi^{-1}_L$ vanishes with $J$ as $J^{\epsilon/2}$ for $\epsilon>0$ and as $(\ln (J))^{-1}$ in $d=4$. |
0711.1697 | Alexander Solovyov | A. Solovyov | Bethe Ansatz Equations for General Orbifolds of N=4 SYM | LaTeX, 66 pages, 9 eps figures, minor corrections, references added | JHEP 0804:013,2008 | 10.1088/1126-6708/2008/04/013 | PUPT-2249, ITEP-TH-16/07 | hep-th | null | We consider the Bethe Ansatz Equations for orbifolds of N =4 SYM w.r.t. an
arbitrary discrete group. Techniques used for the Abelian orbifolds can be
extended to the generic non-Abelian case with minor modifications. We show how
to make a transition between the different notations in the quiver gauge
theory.
| [
{
"created": "Mon, 12 Nov 2007 02:12:14 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Nov 2007 18:50:07 GMT",
"version": "v2"
}
] | 2010-02-03 | [
[
"Solovyov",
"A.",
""
]
] | We consider the Bethe Ansatz Equations for orbifolds of N =4 SYM w.r.t. an arbitrary discrete group. Techniques used for the Abelian orbifolds can be extended to the generic non-Abelian case with minor modifications. We show how to make a transition between the different notations in the quiver gauge theory. |
hep-th/9810012 | Marco Bochicchio | Marco Bochicchio | Some comments on S-duality in four-dimensional QCD | 4 pages, latex, no figures. Basic references on duality added | null | null | ROME 1223/98 | hep-th | null | We show that a necessary condition, for the partition function of
four-dimensional Yang-Mills theory to satisfy a S-duality property, is that
certain functional determinants, generated by the dual change of variables,
cancel each other. This result holds up to non-topological boundary terms in
the dual action and modulo the problem of field-strength copies for the Bianchi
identity constraint.
| [
{
"created": "Fri, 2 Oct 1998 03:24:23 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Oct 1998 17:46:09 GMT",
"version": "v2"
},
{
"created": "Tue, 23 Feb 1999 18:29:18 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Bochicchio",
"Marco",
""
]
] | We show that a necessary condition, for the partition function of four-dimensional Yang-Mills theory to satisfy a S-duality property, is that certain functional determinants, generated by the dual change of variables, cancel each other. This result holds up to non-topological boundary terms in the dual action and modulo the problem of field-strength copies for the Bianchi identity constraint. |
2202.01218 | Julius Grimminger | Antoine Bourget, Julius F. Grimminger, Amihay Hanany, Zhenghao Zhong | The Hasse Diagram of the Moduli Space of Instantons | null | null | 10.1007/JHEP08(2022)283 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Hasse diagrams (or phase diagrams) for moduli spaces of supersymmetric field
theories have been intensively studied in recent years, and many tools to
compute them have been developed. The moduli space of instantons, despite being
well studied, has proven difficult to deal with. In this note we explore the
Hasse diagram of this moduli space from several perspectives -- using the
partial Higgs mechanism, using brane systems and using quiver subtraction --
having to refine previously developed techniques. In particular we introduce
the new concept of decorated quiver, which allows to deal with a large class of
unitary quivers, including those with adjoint matter.
| [
{
"created": "Wed, 2 Feb 2022 19:00:00 GMT",
"version": "v1"
}
] | 2022-09-14 | [
[
"Bourget",
"Antoine",
""
],
[
"Grimminger",
"Julius F.",
""
],
[
"Hanany",
"Amihay",
""
],
[
"Zhong",
"Zhenghao",
""
]
] | Hasse diagrams (or phase diagrams) for moduli spaces of supersymmetric field theories have been intensively studied in recent years, and many tools to compute them have been developed. The moduli space of instantons, despite being well studied, has proven difficult to deal with. In this note we explore the Hasse diagram of this moduli space from several perspectives -- using the partial Higgs mechanism, using brane systems and using quiver subtraction -- having to refine previously developed techniques. In particular we introduce the new concept of decorated quiver, which allows to deal with a large class of unitary quivers, including those with adjoint matter. |
1511.03889 | \"Abrahim Burak \"Alhan | Ibrahim Burak Ilhan and Alex Kovner | Photons without vector fields | 7 pages | Phys. Rev. D 93, 025015 (2016) | 10.1103/PhysRevD.93.025015 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note we continue to pursue the question whether gauge theories can be
represented in terms of effective "scalar" degrees of freedom. We provide such
a consistent representation for a free photon theory in 3+1 dimensions.
Building on results of [1] we construct a Lagrangian with a four derivative
kinetic term, and demonstrate that despite seeming nonlinearity of the theory
it is equivalent to a theory of a free photon.
| [
{
"created": "Thu, 12 Nov 2015 13:31:30 GMT",
"version": "v1"
},
{
"created": "Sat, 26 Dec 2015 01:25:43 GMT",
"version": "v2"
}
] | 2016-08-08 | [
[
"Ilhan",
"Ibrahim Burak",
""
],
[
"Kovner",
"Alex",
""
]
] | In this note we continue to pursue the question whether gauge theories can be represented in terms of effective "scalar" degrees of freedom. We provide such a consistent representation for a free photon theory in 3+1 dimensions. Building on results of [1] we construct a Lagrangian with a four derivative kinetic term, and demonstrate that despite seeming nonlinearity of the theory it is equivalent to a theory of a free photon. |
hep-th/0312291 | Nugzar Makhaldiani | Nugzar Makhaldiani | Adelic Universe and Cosmological Constant | 15 pages | null | null | E2-2003-215 | hep-th | null | In the quantum adelic field (string) theory models, vacuum energy --
cosmological constant vanish. The other (alternative ?) mechanism is given by
supersymmetric theories. Some observations on prime numbers, zeta -- function
and fine structure constant are also considered.
| [
{
"created": "Fri, 26 Dec 2003 10:01:57 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Makhaldiani",
"Nugzar",
""
]
] | In the quantum adelic field (string) theory models, vacuum energy -- cosmological constant vanish. The other (alternative ?) mechanism is given by supersymmetric theories. Some observations on prime numbers, zeta -- function and fine structure constant are also considered. |
hep-th/9705096 | Christian Wieczerkowski | Christian Wieczerkowski | Renormalized $g-log (g)$ double expansion for the invariant
$\phi^4$-trajectory in three dimensions | 16 pages, Latex2e | Nucl.Phys. B506 (1997) 468-482 | 10.1016/S0550-3213(97)00545-2 | MS-TP1-97-02 | hep-th | null | We study the invariant unstable manifold of the trivial renormalization group
fixed point tangent to the $\phi^{4}$-vertex in three dimensions. We
parametrize it by a running $\phi^{4}$-coupling with linear step
$\beta$-function. It is shown to have a renormalized double expansion in the
running coupling and its logarithm.
| [
{
"created": "Wed, 14 May 1997 08:25:15 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Wieczerkowski",
"Christian",
""
]
] | We study the invariant unstable manifold of the trivial renormalization group fixed point tangent to the $\phi^{4}$-vertex in three dimensions. We parametrize it by a running $\phi^{4}$-coupling with linear step $\beta$-function. It is shown to have a renormalized double expansion in the running coupling and its logarithm. |
hep-th/0602264 | Alexander Vilenkin | Alexander Vilenkin | Probabilities in the landscape | Discussion in Sec. IV.A corrected and clarified | null | null | null | hep-th | null | I review recent progress in defining probability distributions in the
inflationary multiverse.
| [
{
"created": "Mon, 27 Feb 2006 16:12:29 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Mar 2006 19:09:02 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Vilenkin",
"Alexander",
""
]
] | I review recent progress in defining probability distributions in the inflationary multiverse. |
1701.06576 | Markus B. Fr\"ob | Markus B. Fr\"ob, Enric Verdaguer | Quantum corrections for spinning particles in de Sitter | 27 pages, matches published version | JCAP 1704 (2017) 022 | 10.1088/1475-7516/2017/04/022 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the one-loop quantum corrections to the gravitational potentials
of a spinning point particle in a de Sitter background, due to the vacuum
polarisation induced by conformal fields in an effective field theory approach.
We consider arbitrary conformal field theories, assuming only that the theory
contains a large number $N$ of fields in order to separate their contribution
from the one induced by virtual gravitons. The corrections are described in a
gauge-invariant way, classifying the induced metric perturbations around the de
Sitter background according to their behaviour under transformations on
equal-time hypersurfaces. There are six gauge-invariant modes: two scalar
Bardeen potentials, one transverse vector and one transverse traceless tensor,
of which one scalar and the vector couple to the spinning particle. The quantum
corrections consist of three different parts: a generalisation of the
flat-space correction, which is only significant at distances of the order of
the Planck length; a constant correction depending on the undetermined
parameters of the renormalised effective action; and a term which grows
logarithmically with the distance from the particle. This last term is the most
interesting, and when resummed gives a modified power law, enhancing the
gravitational force at large distances. As a check on the accuracy of our
calculation, we recover the linearised Kerr-de Sitter metric in the classical
limit and the flat-space quantum correction in the limit of vanishing Hubble
constant.
| [
{
"created": "Mon, 23 Jan 2017 19:00:04 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Apr 2017 11:19:05 GMT",
"version": "v2"
}
] | 2017-04-19 | [
[
"Fröb",
"Markus B.",
""
],
[
"Verdaguer",
"Enric",
""
]
] | We compute the one-loop quantum corrections to the gravitational potentials of a spinning point particle in a de Sitter background, due to the vacuum polarisation induced by conformal fields in an effective field theory approach. We consider arbitrary conformal field theories, assuming only that the theory contains a large number $N$ of fields in order to separate their contribution from the one induced by virtual gravitons. The corrections are described in a gauge-invariant way, classifying the induced metric perturbations around the de Sitter background according to their behaviour under transformations on equal-time hypersurfaces. There are six gauge-invariant modes: two scalar Bardeen potentials, one transverse vector and one transverse traceless tensor, of which one scalar and the vector couple to the spinning particle. The quantum corrections consist of three different parts: a generalisation of the flat-space correction, which is only significant at distances of the order of the Planck length; a constant correction depending on the undetermined parameters of the renormalised effective action; and a term which grows logarithmically with the distance from the particle. This last term is the most interesting, and when resummed gives a modified power law, enhancing the gravitational force at large distances. As a check on the accuracy of our calculation, we recover the linearised Kerr-de Sitter metric in the classical limit and the flat-space quantum correction in the limit of vanishing Hubble constant. |
hep-th/0007193 | Bojan Bistrovic | Bojan Bistrovic | Quantum mechanics with non-unitary symmetries | 47 pages; shortened and clarified, some explanations added | null | null | null | hep-th quant-ph | null | This article shows that one can consistently incorporate nonunitary
representations of at least one group into the ``ordinary'' nonrelativistic
quantum mechanics. This group turns out to be Lorentz group thus giving us an
alternative approach to QFT for combining the quantum mechanics and special
theory of relativity which keeps the concept of wave function (belonging to
some representation of Lorentz group) through the whole theory. Scalar product
has been redefined to take into the account the nonunitarity of representations
of Lorentz group. Understanding parity symmetry turns out to be the key
ingredient throughout the process. Instead of trying to guess an equation or a
set of equations for some wave functions or fields (or equivalently trying to
guess a Lagrangian for the same), one derives them based only on the
superposition principle and properties of wave functions under Lorentz
transformations and parity. The resulting model has striking similarities with
the standard quantum field theory and yet has no negative energy states, no
zitterbewegung effects, symmetric energy momentum tensor and angular momentum
density tensor for \emph{all} representations of Lorentz group (unifying the
theoretical description of all particles), as well as clear physical
interpretation. It also offers a possible interpretation why particles and
antiparticles have opposite quantum numbers.
| [
{
"created": "Mon, 24 Jul 2000 23:31:20 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Aug 2000 18:39:34 GMT",
"version": "v2"
},
{
"created": "Wed, 16 May 2001 21:36:44 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Bistrovic",
"Bojan",
""
]
] | This article shows that one can consistently incorporate nonunitary representations of at least one group into the ``ordinary'' nonrelativistic quantum mechanics. This group turns out to be Lorentz group thus giving us an alternative approach to QFT for combining the quantum mechanics and special theory of relativity which keeps the concept of wave function (belonging to some representation of Lorentz group) through the whole theory. Scalar product has been redefined to take into the account the nonunitarity of representations of Lorentz group. Understanding parity symmetry turns out to be the key ingredient throughout the process. Instead of trying to guess an equation or a set of equations for some wave functions or fields (or equivalently trying to guess a Lagrangian for the same), one derives them based only on the superposition principle and properties of wave functions under Lorentz transformations and parity. The resulting model has striking similarities with the standard quantum field theory and yet has no negative energy states, no zitterbewegung effects, symmetric energy momentum tensor and angular momentum density tensor for \emph{all} representations of Lorentz group (unifying the theoretical description of all particles), as well as clear physical interpretation. It also offers a possible interpretation why particles and antiparticles have opposite quantum numbers. |
2207.06866 | Tamas Gombor | Tamas Gombor, Charlotte Kristjansen | Overlaps for Matrix Product States of Arbitrary Bond Dimension in ABJM
theory | 7 pages | null | 10.1016/j.physletb.2022.137428 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We find a closed formula for the overlap of Bethe eigenstates of an
alternating $SU(4)$ spin chain, describing the scalar sector of ABJM theory,
and matrix product states of any bond dimension representing 1/2 BPS
co-dimension one domain walls in the field theory. One point functions of the
defect CFTs involved, being directly expressible in terms of these overlaps,
are hence completely determined.
| [
{
"created": "Thu, 14 Jul 2022 12:42:45 GMT",
"version": "v1"
}
] | 2022-09-07 | [
[
"Gombor",
"Tamas",
""
],
[
"Kristjansen",
"Charlotte",
""
]
] | We find a closed formula for the overlap of Bethe eigenstates of an alternating $SU(4)$ spin chain, describing the scalar sector of ABJM theory, and matrix product states of any bond dimension representing 1/2 BPS co-dimension one domain walls in the field theory. One point functions of the defect CFTs involved, being directly expressible in terms of these overlaps, are hence completely determined. |
hep-th/9709077 | Tomohiro Inagaki | T. Inagaki, S. D. Odintsov, Yu. I. Shil'nov | Dynamical symmetry breaking in the external gravitational and constant
magnetic fields | 23 pages, Latex, epic.sty and eepic.sty are used | Int.J.Mod.Phys.A14:481-504,1999 | 10.1142/S0217751X99000245 | KOBE-TH-97-02 | hep-th | null | We investigate the effects of the external gravitational and constant
magnetic fields to the dynamical symmetrybreaking. As simple models of the
dynamical symmetry breaking we consider the Nambu-Jona-Lasinio (NJL) model and
the supersymmetric Nambu-Jona-Lasinio (SUSY NJL) model non-minimally
interacting with the external gravitational field and minimally interacting
with constant magnetic field. The explicit expressions for the scalar and
spinor Green functions are found up to the linear terms on the spacetime
curvature and exactly for a constant magnetic field. We obtain the effective
potential of the above models from the Green functions in the magnetic field in
curved spacetime. Calculating the effective potential numerically with the
varying curvature and/or magnetic fields we show the effects of the external
gravitational and magnetic fields to the phase structure of the theories. In
particular, increase of the curvature in the spontaneously broken chiral
symmetry phase due to the fixed magnetic field makes this phase to be less
broken. On the same time strong magnetic field quickly induces chiral symmetry
breaking even at the presence of fixed gravitational field within nonbroken
phase.
| [
{
"created": "Wed, 10 Sep 1997 07:55:12 GMT",
"version": "v1"
}
] | 2009-09-17 | [
[
"Inagaki",
"T.",
""
],
[
"Odintsov",
"S. D.",
""
],
[
"Shil'nov",
"Yu. I.",
""
]
] | We investigate the effects of the external gravitational and constant magnetic fields to the dynamical symmetrybreaking. As simple models of the dynamical symmetry breaking we consider the Nambu-Jona-Lasinio (NJL) model and the supersymmetric Nambu-Jona-Lasinio (SUSY NJL) model non-minimally interacting with the external gravitational field and minimally interacting with constant magnetic field. The explicit expressions for the scalar and spinor Green functions are found up to the linear terms on the spacetime curvature and exactly for a constant magnetic field. We obtain the effective potential of the above models from the Green functions in the magnetic field in curved spacetime. Calculating the effective potential numerically with the varying curvature and/or magnetic fields we show the effects of the external gravitational and magnetic fields to the phase structure of the theories. In particular, increase of the curvature in the spontaneously broken chiral symmetry phase due to the fixed magnetic field makes this phase to be less broken. On the same time strong magnetic field quickly induces chiral symmetry breaking even at the presence of fixed gravitational field within nonbroken phase. |
2107.14746 | Mikhail Khramtsov | Vijay Balasubramanian, Ben Craps, Mikhail Khramtsov and Edgar
Shaghoulian | Submerging islands through thermalization | 33 pages, 14 figures. v2: reference added, minor corrections,
published version | JHEP 10 (2021) 048 | 10.1007/JHEP10(2021)048 | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We illustrate scenarios in which Hawking radiation collected in finite
regions of a reservoir provides temporary access to the interior of black holes
through transient entanglement "islands". Whether these islands appear and the
amount of time for which they dominate - sometimes giving way to a
thermalization transition - is controlled by the amount of radiation we probe.
In the first scenario, two reservoirs are coupled to an eternal black hole. The
second scenario involves two holographic quantum gravitating systems at
different temperatures interacting through a Rindler-like reservoir, which acts
as a heat engine maintaining thermal equilibrium. The latter situation, which
has an intricate phase structure, describes two eternal black holes radiating
into each other through a shared reservoir.
| [
{
"created": "Fri, 30 Jul 2021 16:45:46 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Oct 2021 15:54:30 GMT",
"version": "v2"
}
] | 2021-10-12 | [
[
"Balasubramanian",
"Vijay",
""
],
[
"Craps",
"Ben",
""
],
[
"Khramtsov",
"Mikhail",
""
],
[
"Shaghoulian",
"Edgar",
""
]
] | We illustrate scenarios in which Hawking radiation collected in finite regions of a reservoir provides temporary access to the interior of black holes through transient entanglement "islands". Whether these islands appear and the amount of time for which they dominate - sometimes giving way to a thermalization transition - is controlled by the amount of radiation we probe. In the first scenario, two reservoirs are coupled to an eternal black hole. The second scenario involves two holographic quantum gravitating systems at different temperatures interacting through a Rindler-like reservoir, which acts as a heat engine maintaining thermal equilibrium. The latter situation, which has an intricate phase structure, describes two eternal black holes radiating into each other through a shared reservoir. |
1509.02036 | Norbert Bodendorfer | Norbert Bodendorfer | A note on quantum supergravity and AdS/CFT | 8 pages, comments welcome | null | null | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We note that the non-perturbative quantisation of supergravity as recently
investigated using loop quantum gravity techniques provides an opportunity to
probe an interesting sector of the AdS/CFT correspondence, which is usually not
considered in conventional treatments. In particular, assuming a certain amount
of convergence between the quantum supergravity sector of string theory and
quantum supergravity constructed via loop quantum gravity techniques, we argue
that the large quantum number expansion in loop quantum supergravity
corresponds to the $1/N^2_c$ expansion in the corresponding gauge theory. In
order to argue that we are indeed dealing with an appropriate quantum
supergravity sector of string theory, high energy ($\alpha'$) corrections are
being neglected, leading to a gauge theory at strong coupling, yet finite
$N_c$. The arguments given in this paper are mainly of qualitative nature, with
the aim of serving as a starting point for a more in depth interaction between
the string theory and loop quantum gravity communities.
| [
{
"created": "Mon, 7 Sep 2015 13:30:13 GMT",
"version": "v1"
}
] | 2015-09-09 | [
[
"Bodendorfer",
"Norbert",
""
]
] | We note that the non-perturbative quantisation of supergravity as recently investigated using loop quantum gravity techniques provides an opportunity to probe an interesting sector of the AdS/CFT correspondence, which is usually not considered in conventional treatments. In particular, assuming a certain amount of convergence between the quantum supergravity sector of string theory and quantum supergravity constructed via loop quantum gravity techniques, we argue that the large quantum number expansion in loop quantum supergravity corresponds to the $1/N^2_c$ expansion in the corresponding gauge theory. In order to argue that we are indeed dealing with an appropriate quantum supergravity sector of string theory, high energy ($\alpha'$) corrections are being neglected, leading to a gauge theory at strong coupling, yet finite $N_c$. The arguments given in this paper are mainly of qualitative nature, with the aim of serving as a starting point for a more in depth interaction between the string theory and loop quantum gravity communities. |
1102.4500 | Yu-Xiao Liu | Yu-Xiao Liu, Chun-E Fu, Heng Guo, Hai-Tao Li | Deformed brane with finite extra dimension | 9 pages, 3 figures, to be published in PRD | Phys.Rev. D 85 (2012) 084023 | 10.1103/PhysRevD.85.084023 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a deformed brane solution generated by a double-kink scalar
field and a dilaton scalar field. In this brane scenario the extra dimension is
finite, which is due to the introduction of the dilaton field with special
form. The finity of the extra dimension will result in the localization of the
zero mode for the vector fields. While the localization of the Kalb-Ramond
fields {depends} on the coupling to the dilaton. For the fermion fields, {with
different values of the dilaton-fermion coupling constant}, there are three
types of the effective potential for the fermion KK modes. Moreover, we
investigate the effect of the deformation of the brane on the localization, and
find that the number of the resonances will increase with the distances of the
two sub-branes.
| [
{
"created": "Tue, 22 Feb 2011 13:40:08 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Apr 2012 02:41:30 GMT",
"version": "v2"
}
] | 2012-09-14 | [
[
"Liu",
"Yu-Xiao",
""
],
[
"Fu",
"Chun-E",
""
],
[
"Guo",
"Heng",
""
],
[
"Li",
"Hai-Tao",
""
]
] | We construct a deformed brane solution generated by a double-kink scalar field and a dilaton scalar field. In this brane scenario the extra dimension is finite, which is due to the introduction of the dilaton field with special form. The finity of the extra dimension will result in the localization of the zero mode for the vector fields. While the localization of the Kalb-Ramond fields {depends} on the coupling to the dilaton. For the fermion fields, {with different values of the dilaton-fermion coupling constant}, there are three types of the effective potential for the fermion KK modes. Moreover, we investigate the effect of the deformation of the brane on the localization, and find that the number of the resonances will increase with the distances of the two sub-branes. |
0708.3778 | Petr M. Lavrov | P. M. Lavrov and O. V. Radchenko | Symplectic geometries on supermanifolds | LaTex, 1o pages, LaTex, changed content | Int.J.Mod.Phys.A23:1337-1350,2008 | 10.1142/S0217751X08039426 | null | hep-th | null | Extension of symplectic geometry on manifolds to the supersymmetric case is
considered. In the even case it leads to the even symplectic geometry (or,
equivalently, to the geometry on supermanifolds endowed with a non-degenerate
Poisson bracket) or to the geometry on an even Fedosov supermanifolds. It is
proven that in the odd case there are two different scalar symplectic
structures (namely, an odd closed differential 2-form and the antibracket)
which can be used for construction of symplectic geometries on supermanifolds.
| [
{
"created": "Tue, 28 Aug 2007 13:06:13 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Dec 2007 13:50:57 GMT",
"version": "v2"
},
{
"created": "Sat, 22 Mar 2008 09:26:43 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Lavrov",
"P. M.",
""
],
[
"Radchenko",
"O. V.",
""
]
] | Extension of symplectic geometry on manifolds to the supersymmetric case is considered. In the even case it leads to the even symplectic geometry (or, equivalently, to the geometry on supermanifolds endowed with a non-degenerate Poisson bracket) or to the geometry on an even Fedosov supermanifolds. It is proven that in the odd case there are two different scalar symplectic structures (namely, an odd closed differential 2-form and the antibracket) which can be used for construction of symplectic geometries on supermanifolds. |
hep-th/0307219 | Michael Engelhardt | Falk Bruckmann and Michael Engelhardt | Writhe of center vortices and topological charge -- an explicit example | 33 latex pages, 10 figures incorporating 14 ps files. Furthermore,
the time evolution of the vortex line discussed in this work can be viewed as
a gif movie, available for download by following the PostScript link below --
watch for the cute feature at the self-intersection point | Phys.Rev. D68 (2003) 105011 | 10.1103/PhysRevD.68.105011 | null | hep-th hep-lat | null | The manner in which continuum center vortices generate topological charge
density is elucidated using an explicit example. The example vortex
world-surface contains one lone self-intersection point, which contributes a
quantum 1/2 to the topological charge. On the other hand, the surface in
question is orientable and thus must carry global topological charge zero due
to general arguments. Therefore, there must be another contribution, coming
from vortex writhe. The latter is known for the lattice analogue of the example
vortex considered, where it is quite intuitive. For the vortex in the
continuum, including the limit of an infinitely thin vortex, a careful analysis
is performed and it is shown how the contribution to the topological charge
induced by writhe is distributed over the vortex surface.
| [
{
"created": "Tue, 22 Jul 2003 17:17:16 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Bruckmann",
"Falk",
""
],
[
"Engelhardt",
"Michael",
""
]
] | The manner in which continuum center vortices generate topological charge density is elucidated using an explicit example. The example vortex world-surface contains one lone self-intersection point, which contributes a quantum 1/2 to the topological charge. On the other hand, the surface in question is orientable and thus must carry global topological charge zero due to general arguments. Therefore, there must be another contribution, coming from vortex writhe. The latter is known for the lattice analogue of the example vortex considered, where it is quite intuitive. For the vortex in the continuum, including the limit of an infinitely thin vortex, a careful analysis is performed and it is shown how the contribution to the topological charge induced by writhe is distributed over the vortex surface. |
1110.0240 | Felix M. Lev | Felix M. Lev | de Sitter Symmetry and Quantum Theory | 14 pages, no figures. A revised version published in Physical Review
D | Physical Review D, Vol. 85, Issue 6, 065003 (2012) | 10.1103/PhysRevD.85.065003 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | de Sitter symmetry on quantum level implies that operators describing a given
system satisfy commutation relations of the de Sitter algebra. This approach
gives a new perspective on fundamental notions of quantum theory. We discuss
applications of the approach to the cosmological constant problem, gravity, and
particle theory.
| [
{
"created": "Sun, 2 Oct 2011 23:00:22 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Mar 2012 06:31:32 GMT",
"version": "v2"
}
] | 2012-04-04 | [
[
"Lev",
"Felix M.",
""
]
] | de Sitter symmetry on quantum level implies that operators describing a given system satisfy commutation relations of the de Sitter algebra. This approach gives a new perspective on fundamental notions of quantum theory. We discuss applications of the approach to the cosmological constant problem, gravity, and particle theory. |
1805.03657 | Benedict Fraser | Benjo Fraser, Dimitrios Manolopoulos, Konstantinos Sfetsos | Non-Abelian T-duality and Modular Invariance | 33 pages, this version published in Nuclear Physics B | Nuclear Physics B 934 (2018) 498-520 | 10.1016/j.nuclphysb.2018.07.017 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Two-dimensional $\sigma$-models corresponding to coset CFTs of the type $
(\hat{\mathfrak{g}}_k\oplus \hat{\mathfrak{h}}_\ell )/
\hat{\mathfrak{h}}_{k+\ell}$ admit a zoom-in limit involving sending one of the
levels, say $\ell$, to infinity. The result is the non-Abelian T-dual of the
WZW model for the algebra $\hat{\mathfrak{g}}_k$ with respect to the vector
action of the subalgebra $\mathfrak{h}$ of $ \mathfrak{g}$. We examine modular
invariant partition functions in this context. Focusing on the case with
$\mathfrak{g}=\mathfrak{h}=\mathfrak{su}(2)$ we apply the above limit to the
branching functions and modular invariant partition function of the coset CFT,
which as a whole is a delicate procedure. Our main concrete result is that such
a limit is well defined and the resulting partition function is modular
invariant.
| [
{
"created": "Wed, 9 May 2018 18:00:02 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Jun 2018 05:58:06 GMT",
"version": "v2"
},
{
"created": "Thu, 2 Aug 2018 12:23:38 GMT",
"version": "v3"
}
] | 2018-08-03 | [
[
"Fraser",
"Benjo",
""
],
[
"Manolopoulos",
"Dimitrios",
""
],
[
"Sfetsos",
"Konstantinos",
""
]
] | Two-dimensional $\sigma$-models corresponding to coset CFTs of the type $ (\hat{\mathfrak{g}}_k\oplus \hat{\mathfrak{h}}_\ell )/ \hat{\mathfrak{h}}_{k+\ell}$ admit a zoom-in limit involving sending one of the levels, say $\ell$, to infinity. The result is the non-Abelian T-dual of the WZW model for the algebra $\hat{\mathfrak{g}}_k$ with respect to the vector action of the subalgebra $\mathfrak{h}$ of $ \mathfrak{g}$. We examine modular invariant partition functions in this context. Focusing on the case with $\mathfrak{g}=\mathfrak{h}=\mathfrak{su}(2)$ we apply the above limit to the branching functions and modular invariant partition function of the coset CFT, which as a whole is a delicate procedure. Our main concrete result is that such a limit is well defined and the resulting partition function is modular invariant. |
hep-th/0009207 | Alexander Gorsky | Alexander Gorsky, Konstantin Selivanov | Brane tunneling and the Brane World scenario | 13 pages, contribution to the Proceedings of E.S.Fradkin Memorial
Conference, Moscow, 2000 | null | null | null | hep-th | null | Fate of branes in external fields is reviewed. Spontaneous creation of the
Brane World in $AdS_{5}$ with external field is described. The resulting Brane
World consists of a flat 4d spatially finite expanding Universe and curved
expanding "regulator" branes. All branes have a positive tension.
| [
{
"created": "Tue, 26 Sep 2000 16:17:21 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Gorsky",
"Alexander",
""
],
[
"Selivanov",
"Konstantin",
""
]
] | Fate of branes in external fields is reviewed. Spontaneous creation of the Brane World in $AdS_{5}$ with external field is described. The resulting Brane World consists of a flat 4d spatially finite expanding Universe and curved expanding "regulator" branes. All branes have a positive tension. |
hep-th/9601172 | Stratopoulos George | G.N. Stratopoulos and T.N. Tomaras (University of Crete, Greece) | Vortex Pairs in Charged Fluids | 21 pages, LATEX, 12 Postscript figures included in separate
compressed file. Minor correction in formula (4.3). Some spelling mistakes
corrected | null | 10.1103/PhysRevB.54.12493 | Crete-96-10 | hep-th cond-mat | null | The motion of a vortex-(anti)vortex pair is studied numerically in the
framework of a dynamical Ginzburg-Landau model, relevant to the description of
a superconductor or of an idealized bosonic plasma. It is shown that up to a
fine "cyclotron" internal motion, also studied in detail, two vortices brought
together, rotate around each other, while a vortex and an antivortex move in
formation parallel to each other. The velocities of the vortices in both cases
are measured to be in remarkable agreement with recent theoretical predictions,
down to intervortex distances as small as their characteristic diameter.
| [
{
"created": "Wed, 31 Jan 1996 20:11:58 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Feb 1996 13:19:06 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Stratopoulos",
"G. N.",
"",
"University of Crete, Greece"
],
[
"Tomaras",
"T. N.",
"",
"University of Crete, Greece"
]
] | The motion of a vortex-(anti)vortex pair is studied numerically in the framework of a dynamical Ginzburg-Landau model, relevant to the description of a superconductor or of an idealized bosonic plasma. It is shown that up to a fine "cyclotron" internal motion, also studied in detail, two vortices brought together, rotate around each other, while a vortex and an antivortex move in formation parallel to each other. The velocities of the vortices in both cases are measured to be in remarkable agreement with recent theoretical predictions, down to intervortex distances as small as their characteristic diameter. |
2206.03243 | Eugenia Boffo | E. Boffo, I. Sachs | Spin fields for the spinning particle | 26 pages, matches the published version | JHEP 10, 2022, 117 | 10.1007/JHEP10(2022)117 | null | hep-th math-ph math.MP | http://creativecommons.org/licenses/by-sa/4.0/ | We propose an analogue of spin fields for the relativistic RNS-particle in 4
dimensions, in order to describe Ramond-Ramond states as "two-particle"
excitations on the world line. On a natural representation space we identify a
differential whose cohomology agrees with RR-fields equations. We then discuss
the non-linear theory encoded in deformations of the latter by background
fields. We also formulate a sigma model for this spin field from which we
recover the RNS-formulation by imposing suitable constraints.
| [
{
"created": "Tue, 7 Jun 2022 12:57:23 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Oct 2022 10:25:05 GMT",
"version": "v2"
}
] | 2022-10-20 | [
[
"Boffo",
"E.",
""
],
[
"Sachs",
"I.",
""
]
] | We propose an analogue of spin fields for the relativistic RNS-particle in 4 dimensions, in order to describe Ramond-Ramond states as "two-particle" excitations on the world line. On a natural representation space we identify a differential whose cohomology agrees with RR-fields equations. We then discuss the non-linear theory encoded in deformations of the latter by background fields. We also formulate a sigma model for this spin field from which we recover the RNS-formulation by imposing suitable constraints. |
1206.2105 | Michael Duff | M. J. Duff | Black holes and qubits | Talk delivered at the Pontifical Academy of Sciences Symposium on
Subnuclear Physics, Vatican City, October 2011 | null | 10.1142/9789814522489_0003 | Imperial/TP/2012/mjd/2 | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Quantum entanglement lies at the heart of quantum information theory, with
applications to quantum computing, teleportation, cryptography and
communication. In the apparently separate world of quantum gravity, the Hawking
effect of radiating black holes has also occupied centre stage. Despite their
apparent differences, it turns out that there is a correspondence between the
two.
| [
{
"created": "Mon, 11 Jun 2012 06:32:58 GMT",
"version": "v1"
}
] | 2017-08-23 | [
[
"Duff",
"M. J.",
""
]
] | Quantum entanglement lies at the heart of quantum information theory, with applications to quantum computing, teleportation, cryptography and communication. In the apparently separate world of quantum gravity, the Hawking effect of radiating black holes has also occupied centre stage. Despite their apparent differences, it turns out that there is a correspondence between the two. |
0909.3307 | Maulik K. Parikh | Maulik K. Parikh | Enhanced Instability of de Sitter Space in Einstein-Gauss-Bonnet Gravity | 8 pages | Phys.Rev.D84:044048,2011 | 10.1103/PhysRevD.84.044048 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the addition of a topological Gauss-Bonnet term to the
gravitational action can greatly increase the instability of four-dimensional
de Sitter space, by favoring the nucleation of black holes. The pair-production
rate given by the Euclidean action for the instanton takes the form exp(Delta
S) where S is the entropy in Einstein-Gauss-Bonnet theory. The coefficient of
the Gauss-Bonnet term in the action sets a stability bound on the curvature of
empty de Sitter space. For that coefficient in the low-energy effective action
of heterotic string theory, the maximal curvature of de Sitter space is in
general much lower than the Planck scale.
| [
{
"created": "Fri, 18 Sep 2009 19:43:48 GMT",
"version": "v1"
}
] | 2011-09-12 | [
[
"Parikh",
"Maulik K.",
""
]
] | We show that the addition of a topological Gauss-Bonnet term to the gravitational action can greatly increase the instability of four-dimensional de Sitter space, by favoring the nucleation of black holes. The pair-production rate given by the Euclidean action for the instanton takes the form exp(Delta S) where S is the entropy in Einstein-Gauss-Bonnet theory. The coefficient of the Gauss-Bonnet term in the action sets a stability bound on the curvature of empty de Sitter space. For that coefficient in the low-energy effective action of heterotic string theory, the maximal curvature of de Sitter space is in general much lower than the Planck scale. |
2110.10688 | Rahim Leung | C. W. Erickson, Rahim Leung, K. S. Stelle | Taxonomy of Brane Gravity Localisations | 49+20 pages, 5 figures | null | 10.1007/JHEP01(2022)130 | Imperial/TP/21/KS/01 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Generating an effective theory of lower-dimensional gravity on a submanifold
within an original higher-dimensional theory can be achieved even if the
reduction space is non-compact. Localisation of gravity on such a
lower-dimensional worldvolume can be interpreted in a number of ways. The first
scenario, Type I, requires a mathematically consistent Kaluza-Klein style
truncation down to a theory in the lower dimension, in which case solutions
purely within that reduced theory exist. However, that situation is not a
genuine localisation of gravity because all such solutions have
higher-dimensional source extensions according to the Kaluza-Klein ansatz.
Also, there is no meaningful notion of Newton's constant for such Type I
constructions.
Types II and III admit coupling to genuinely localised sources in the
higher-dimensional theory, with corresponding solutions involving full sets of
higher-dimensional modes. Type II puts no specific boundary conditions near the
worldvolume aside from regularity away from sources. In a case where the wave
equation separated in the non-compact space transverse to the worldvolume
admits a normalisable zero mode, the Type III scenario requires boundary
conditions near the worldvolume that permit the inclusion of that zero mode in
mode expansions for gravitational wave fluctuations or potentials. In such a
case, an effective theory of lower-dimensional gravity can emerge at
sufficiently large worldvolume distance scales.
This taxonomy of brane gravity localisations is developed in detail for
linearised perturbations about a background incorporating the vacuum solution
of Salam-Sezgin theory when embedded into ten-dimensional supergravity with a
hyperbolic non-compact transverse space. Interpretations of the Newton constant
for the corresponding Type III localisation are then analysed.
| [
{
"created": "Wed, 20 Oct 2021 18:00:01 GMT",
"version": "v1"
}
] | 2022-02-09 | [
[
"Erickson",
"C. W.",
""
],
[
"Leung",
"Rahim",
""
],
[
"Stelle",
"K. S.",
""
]
] | Generating an effective theory of lower-dimensional gravity on a submanifold within an original higher-dimensional theory can be achieved even if the reduction space is non-compact. Localisation of gravity on such a lower-dimensional worldvolume can be interpreted in a number of ways. The first scenario, Type I, requires a mathematically consistent Kaluza-Klein style truncation down to a theory in the lower dimension, in which case solutions purely within that reduced theory exist. However, that situation is not a genuine localisation of gravity because all such solutions have higher-dimensional source extensions according to the Kaluza-Klein ansatz. Also, there is no meaningful notion of Newton's constant for such Type I constructions. Types II and III admit coupling to genuinely localised sources in the higher-dimensional theory, with corresponding solutions involving full sets of higher-dimensional modes. Type II puts no specific boundary conditions near the worldvolume aside from regularity away from sources. In a case where the wave equation separated in the non-compact space transverse to the worldvolume admits a normalisable zero mode, the Type III scenario requires boundary conditions near the worldvolume that permit the inclusion of that zero mode in mode expansions for gravitational wave fluctuations or potentials. In such a case, an effective theory of lower-dimensional gravity can emerge at sufficiently large worldvolume distance scales. This taxonomy of brane gravity localisations is developed in detail for linearised perturbations about a background incorporating the vacuum solution of Salam-Sezgin theory when embedded into ten-dimensional supergravity with a hyperbolic non-compact transverse space. Interpretations of the Newton constant for the corresponding Type III localisation are then analysed. |
hep-th/9707118 | Jose M. Figueroa-O'Farrill | BS Acharya, JM Figueroa-O'Farrill, M O'Loughlin and B Spence | Euclidean D-branes and higher-dimensional gauge theory | 23 pages (some changes in section 4.5 -- equations 27 and 28 change
slightly) (missing bibliography added!) | Nucl.Phys. B514 (1998) 583-602 | 10.1016/S0550-3213(97)00727-X | QMW-PH-97-20, IC/97/59 | hep-th dg-ga math.DG | null | We consider euclidean D-branes wrapping around manifolds of exceptional
holonomy in dimensions seven and eight. The resulting theory on the
D-brane---that is, the dimensional reduction of 10-dimensional supersymmetric
Yang-Mills theory---is a cohomological field theory which describes the
topology of the moduli space of instantons. The 7-dimensional theory is an N_T
= 2 (or balanced) cohomological theory given by an action potential of
Chern-Simons type. As a by-product of this method, we construct a related
cohomological field theory which describes the monopole moduli space on a
7-manifold of G_2 holonomy.
| [
{
"created": "Fri, 11 Jul 1997 17:07:46 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Nov 1997 15:16:06 GMT",
"version": "v2"
},
{
"created": "Wed, 5 Nov 1997 13:31:16 GMT",
"version": "v3"
}
] | 2009-10-30 | [
[
"Acharya",
"BS",
""
],
[
"Figueroa-O'Farrill",
"JM",
""
],
[
"O'Loughlin",
"M",
""
],
[
"Spence",
"B",
""
]
] | We consider euclidean D-branes wrapping around manifolds of exceptional holonomy in dimensions seven and eight. The resulting theory on the D-brane---that is, the dimensional reduction of 10-dimensional supersymmetric Yang-Mills theory---is a cohomological field theory which describes the topology of the moduli space of instantons. The 7-dimensional theory is an N_T = 2 (or balanced) cohomological theory given by an action potential of Chern-Simons type. As a by-product of this method, we construct a related cohomological field theory which describes the monopole moduli space on a 7-manifold of G_2 holonomy. |
2011.05176 | Luca Smaldone | Giovanni Acquaviva, Alfredo Iorio, Luca Smaldone | Bekenstein bound from the Pauli principle: a brief introduction | 3 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Here we briefly resume the idea, originally introduced in Phys. Rev. D 102,
106002 (2020), that the Bekenstein bound on entropy is a consequence of the
fermionic nature of fundamental degrees of freedom, which arrange themselves to
form matter and spacetime. The main point is discussed by means of a toy-model
of black hole evaporation, which describes the dynamics of such degrees of
freedom, called Xons. An intrinsic notion of interior/exterior of the black
hole during the evaporation process is given and both von Neumann and black
hole/environment entropies are computed.
| [
{
"created": "Tue, 10 Nov 2020 15:28:18 GMT",
"version": "v1"
}
] | 2020-11-11 | [
[
"Acquaviva",
"Giovanni",
""
],
[
"Iorio",
"Alfredo",
""
],
[
"Smaldone",
"Luca",
""
]
] | Here we briefly resume the idea, originally introduced in Phys. Rev. D 102, 106002 (2020), that the Bekenstein bound on entropy is a consequence of the fermionic nature of fundamental degrees of freedom, which arrange themselves to form matter and spacetime. The main point is discussed by means of a toy-model of black hole evaporation, which describes the dynamics of such degrees of freedom, called Xons. An intrinsic notion of interior/exterior of the black hole during the evaporation process is given and both von Neumann and black hole/environment entropies are computed. |
hep-th/0009035 | Oleg Shvedov | O.Yu.Shvedov | Large-N Theory from the Axiomatic Point of View | 46 pages, LaTeX | J.Math.Phys. 42 (2001) 4197-4247 | 10.1063/1.1387465 | null | hep-th | null | The state space and observables for the leading order of the large-N theory
are constructed. The obtained model ("theory of infinite number of fields") is
shown to obey Wightman-type axioms (including invariance under boost
transformations) and to be nontrivial (there are scattering processes, bound
states, unstable particles etc). The considered class of exactly solvable
relativistic quantum models involves good examples of theories containing such
difficulties as volume divergences associated with the Haag theorem,
Stueckelberg divergences and infinite renormalization of the wave function.
| [
{
"created": "Tue, 5 Sep 2000 09:37:03 GMT",
"version": "v1"
}
] | 2015-06-25 | [
[
"Shvedov",
"O. Yu.",
""
]
] | The state space and observables for the leading order of the large-N theory are constructed. The obtained model ("theory of infinite number of fields") is shown to obey Wightman-type axioms (including invariance under boost transformations) and to be nontrivial (there are scattering processes, bound states, unstable particles etc). The considered class of exactly solvable relativistic quantum models involves good examples of theories containing such difficulties as volume divergences associated with the Haag theorem, Stueckelberg divergences and infinite renormalization of the wave function. |
0908.1703 | Li Kang | Jianhua Wang, Kang Li and Sayipjamal Dulat | Wigner Functions for harmonic oscillator in noncommutative phase space | 10 pages, Latex file | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the Wigner Function in non-commutative quantum mechanics. By solving
the time independent Schr\"{o}dinger equation both on a non-commutative (NC)
space and a non-commutative phase space, we obtain the Wigner Function for the
harmonic oscillator on NC space and NC phase space respectively.
| [
{
"created": "Wed, 12 Aug 2009 13:00:54 GMT",
"version": "v1"
}
] | 2009-08-13 | [
[
"Wang",
"Jianhua",
""
],
[
"Li",
"Kang",
""
],
[
"Dulat",
"Sayipjamal",
""
]
] | We study the Wigner Function in non-commutative quantum mechanics. By solving the time independent Schr\"{o}dinger equation both on a non-commutative (NC) space and a non-commutative phase space, we obtain the Wigner Function for the harmonic oscillator on NC space and NC phase space respectively. |
hep-th/9109007 | Joe Polchinski | Joseph Polchinski | High Temperature Limit of the Confining Phase | 13 pages | Phys.Rev.Lett.68:1267-1270,1992 | 10.1103/PhysRevLett.68.1267 | null | hep-th | null | The deconfining transition in non-Abelian gauge theory is known to occur by a
condensation of Wilson lines. By expanding around an appropriate Wilson line
background, it is possible at large $N$ to analytically continue the confining
phase to arbitrarily high temperatures, reaching a weak coupling confinement
regime. This is used to study the high temperature partition function of an
$SU(N)$ electric flux tube. It is found that the partition function corresponds
to that of a string theory with a number of world-sheet fields that diverges at
short distance.
| [
{
"created": "Thu, 5 Sep 1991 17:31:37 GMT",
"version": "v1"
}
] | 2009-10-09 | [
[
"Polchinski",
"Joseph",
""
]
] | The deconfining transition in non-Abelian gauge theory is known to occur by a condensation of Wilson lines. By expanding around an appropriate Wilson line background, it is possible at large $N$ to analytically continue the confining phase to arbitrarily high temperatures, reaching a weak coupling confinement regime. This is used to study the high temperature partition function of an $SU(N)$ electric flux tube. It is found that the partition function corresponds to that of a string theory with a number of world-sheet fields that diverges at short distance. |
hep-th/9704197 | Nick Dorey | N. Dorey, V. V. Khoze and M. P. Mattis | Multi-Instantons, Three-Dimensional Gauge Theory, and the
Gauss-Bonnet-Chern Theorem | 13 pages, LaTeX | Nucl.Phys. B502 (1997) 94-106 | 10.1016/S0550-3213(97)00455-0 | null | hep-th | null | We calculate multi-instanton effects in a three-dimensional gauge theory with
N=8 supersymmetry and gauge group SU(2). The k-instanton contribution to an
eight-fermion correlator is found to be proportional to the Gauss-Bonnet-Chern
integral of the Gaussian curvature over the centered moduli-space of charge-k
BPS monopoles, \tilde{M}_{k}. For k=2 the integral can be evaluated using the
explicit metric on \tilde{M}_{2} found by Atiyah and Hitchin. In this case the
integral is equal to the Euler character of the manifold. More generally the
integral is the volume contribution to the index of the Euler operator on
\tilde{M}_{k}, which may differ from the Euler character by a boundary term. We
conjecture that the boundary terms vanish and evaluate the multi-instanton
contributions using recent results for the cohomology of \tilde{M}_{k}. We
comment briefly on the implications of our result for a recently proposed test
of M(atrix) theory.
| [
{
"created": "Mon, 28 Apr 1997 21:43:50 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Dorey",
"N.",
""
],
[
"Khoze",
"V. V.",
""
],
[
"Mattis",
"M. P.",
""
]
] | We calculate multi-instanton effects in a three-dimensional gauge theory with N=8 supersymmetry and gauge group SU(2). The k-instanton contribution to an eight-fermion correlator is found to be proportional to the Gauss-Bonnet-Chern integral of the Gaussian curvature over the centered moduli-space of charge-k BPS monopoles, \tilde{M}_{k}. For k=2 the integral can be evaluated using the explicit metric on \tilde{M}_{2} found by Atiyah and Hitchin. In this case the integral is equal to the Euler character of the manifold. More generally the integral is the volume contribution to the index of the Euler operator on \tilde{M}_{k}, which may differ from the Euler character by a boundary term. We conjecture that the boundary terms vanish and evaluate the multi-instanton contributions using recent results for the cohomology of \tilde{M}_{k}. We comment briefly on the implications of our result for a recently proposed test of M(atrix) theory. |
hep-th/9507025 | Juergen Burzlaff | J. Burzlaff and D.H. Tchrakian | Zero Modes of Rotationally Symmetric Generalized Vortices and Vortex
Scattering | 12 pages. latex | J.Math.Phys.37:650-657,1996 | 10.1063/1.531434 | KL-TH-95/20 | hep-th | null | Zero modes of rotationally symmetric vortices in a hierarchy of generalized
Abelian Higgs models are studied. Under the finite-energy and the smoothness
condition, it is shown, that in all models, $n$ self-dual vortices superimposed
at the origin have $2n$ modes. The relevance of these modes for vortex
scattering is discussed, first in the context of the slow-motion approximation.
Then a corresponding Cauchy problem for an all head-on collision of $n$
vortices is formulated. It is shown that the solution of this Cauchy problem
has a $\frac{\pi}{n}$ symmetry.
| [
{
"created": "Wed, 5 Jul 1995 12:58:28 GMT",
"version": "v1"
}
] | 2010-11-19 | [
[
"Burzlaff",
"J.",
""
],
[
"Tchrakian",
"D. H.",
""
]
] | Zero modes of rotationally symmetric vortices in a hierarchy of generalized Abelian Higgs models are studied. Under the finite-energy and the smoothness condition, it is shown, that in all models, $n$ self-dual vortices superimposed at the origin have $2n$ modes. The relevance of these modes for vortex scattering is discussed, first in the context of the slow-motion approximation. Then a corresponding Cauchy problem for an all head-on collision of $n$ vortices is formulated. It is shown that the solution of this Cauchy problem has a $\frac{\pi}{n}$ symmetry. |
1509.02547 | Zohar Komargodski | Ofer Aharony, Zohar Komargodski, and Shimon Yankielowicz | Disorder in Large-N Theories | 40 pages, one figure, harvmac. v2: additional comments about the
infrared disordered correlation functions | null | 10.1007/JHEP04(2016)013 | null | hep-th cond-mat.dis-nn cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider Euclidean Conformal Field Theories perturbed by quenched
disorder, namely by random fluctuations in their couplings. Such theories are
relevant for second-order phase transitions in the presence of impurities or
other forms of disorder. Theories with quenched disorder often flow to new
fixed points of the renormalization group. We begin with disorder in free field
theories. Imry and Ma showed that disordered free fields can only exist for
d>4. For d>4 we show that disorder leads to new fixed points which are not
scale-invariant. We then move on to large-N theories (vector models or gauge
theories in the `t Hooft limit). We compute exactly the beta function for the
disorder, and the correlation functions of the disordered theory. We generalize
the results of Imry and Ma by showing that such disordered theories exist only
when disorder couples to operators of dimension \Delta > d/4. Sometimes the
disordered fixed points are not scale-invariant, and in other cases they have
unconventional dependence on the disorder, including non-trivial effects due to
irrelevant operators. Holography maps disorder in conformal theories to
stochastic differential equations in a higher-dimensional space. We use this
dictionary to reproduce our field theory results. We also study the leading 1/N
corrections, both by field theory methods and by holography. These corrections
are particularly important when disorder scales with the number of degrees of
freedom.
| [
{
"created": "Tue, 8 Sep 2015 20:34:32 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Nov 2015 12:03:33 GMT",
"version": "v2"
}
] | 2016-05-04 | [
[
"Aharony",
"Ofer",
""
],
[
"Komargodski",
"Zohar",
""
],
[
"Yankielowicz",
"Shimon",
""
]
] | We consider Euclidean Conformal Field Theories perturbed by quenched disorder, namely by random fluctuations in their couplings. Such theories are relevant for second-order phase transitions in the presence of impurities or other forms of disorder. Theories with quenched disorder often flow to new fixed points of the renormalization group. We begin with disorder in free field theories. Imry and Ma showed that disordered free fields can only exist for d>4. For d>4 we show that disorder leads to new fixed points which are not scale-invariant. We then move on to large-N theories (vector models or gauge theories in the `t Hooft limit). We compute exactly the beta function for the disorder, and the correlation functions of the disordered theory. We generalize the results of Imry and Ma by showing that such disordered theories exist only when disorder couples to operators of dimension \Delta > d/4. Sometimes the disordered fixed points are not scale-invariant, and in other cases they have unconventional dependence on the disorder, including non-trivial effects due to irrelevant operators. Holography maps disorder in conformal theories to stochastic differential equations in a higher-dimensional space. We use this dictionary to reproduce our field theory results. We also study the leading 1/N corrections, both by field theory methods and by holography. These corrections are particularly important when disorder scales with the number of degrees of freedom. |
1002.0006 | Leonardo Rastelli | Elli Pomoni and Leonardo Rastelli | Intersecting Flavor Branes | 36 pages | null | 10.1007/JHEP10(2012)171 | YITP-SB-09-45 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider an instance of the AdS/CFT duality where the bulk theory contains
an open string tachyon, and study the instability from the viewpoint of the
boundary field theory. We focus on the specific example of the AdS_5 X S^5
background with two probe D7 branes intersecting at general angles. For generic
angles supersymmetry is completely broken and there is an open string tachyon
between the branes. The field theory action for this system is obtained by
coupling to N =4 super Yang-Mills two N =2 hyper multiplets in the fundamental
representation of the SU(N) gauge group, but with different choices of
embedding of the two N=2 subalgebras into N=4. On the field theory side we find
a one-loop Coleman-Weinberg instability in the effective potential for the
fundamental scalars. We identify a mesonic operator as the dual of the open
string tachyon. By AdS/CFT, we predict the tachyon mass for small 't Hooft
coupling (large bulk curvature) and confirm that it violates the AdS stability
bound.
| [
{
"created": "Mon, 1 Feb 2010 20:57:31 GMT",
"version": "v1"
}
] | 2015-05-18 | [
[
"Pomoni",
"Elli",
""
],
[
"Rastelli",
"Leonardo",
""
]
] | We consider an instance of the AdS/CFT duality where the bulk theory contains an open string tachyon, and study the instability from the viewpoint of the boundary field theory. We focus on the specific example of the AdS_5 X S^5 background with two probe D7 branes intersecting at general angles. For generic angles supersymmetry is completely broken and there is an open string tachyon between the branes. The field theory action for this system is obtained by coupling to N =4 super Yang-Mills two N =2 hyper multiplets in the fundamental representation of the SU(N) gauge group, but with different choices of embedding of the two N=2 subalgebras into N=4. On the field theory side we find a one-loop Coleman-Weinberg instability in the effective potential for the fundamental scalars. We identify a mesonic operator as the dual of the open string tachyon. By AdS/CFT, we predict the tachyon mass for small 't Hooft coupling (large bulk curvature) and confirm that it violates the AdS stability bound. |
2209.02441 | Souvik Banerjee Dr. | Mohsen Alishahiha, Souvik Banerjee | On the saturation of late-time growth of complexity in supersymmetric JT
gravity | 30 pages, 2 figures | null | 10.1007/JHEP01(2023)134 | null | hep-th gr-qc quant-ph | http://creativecommons.org/licenses/by/4.0/ | In this work we use the modified replica trick, proposed in arXiv:2205.01150,
to compute the late time behaviour of complexity for JT gravity with ${\cal N}
= 1$ and ${\cal N} = 2$ supersymmetries. For the ${\cal N} = 1$ theory, we
compute the late time behaviour of complexity defined by the ``quenched
geodesic length" and obtain the expected saturation of complexity at time $t
\sim e^{S_0}$, to a constant value with time-independent variance. For the
${\cal N} = 2$ theory, we explicitly compute complexity at the disk level which
yields the late-time linear growth of complexity. However, we comment on the
expectation of the late-time saturation by speculating the trumpet partition
function and the non-perturbative corrections to the spectral correlation,
relevant for the late-time behaviour of complexity. Furthermore, we compute the
matter correlation functions for both the theories.
| [
{
"created": "Tue, 6 Sep 2022 12:08:08 GMT",
"version": "v1"
},
{
"created": "Sat, 15 Oct 2022 07:38:32 GMT",
"version": "v2"
}
] | 2023-02-08 | [
[
"Alishahiha",
"Mohsen",
""
],
[
"Banerjee",
"Souvik",
""
]
] | In this work we use the modified replica trick, proposed in arXiv:2205.01150, to compute the late time behaviour of complexity for JT gravity with ${\cal N} = 1$ and ${\cal N} = 2$ supersymmetries. For the ${\cal N} = 1$ theory, we compute the late time behaviour of complexity defined by the ``quenched geodesic length" and obtain the expected saturation of complexity at time $t \sim e^{S_0}$, to a constant value with time-independent variance. For the ${\cal N} = 2$ theory, we explicitly compute complexity at the disk level which yields the late-time linear growth of complexity. However, we comment on the expectation of the late-time saturation by speculating the trumpet partition function and the non-perturbative corrections to the spectral correlation, relevant for the late-time behaviour of complexity. Furthermore, we compute the matter correlation functions for both the theories. |
2106.09723 | Noam Chai | Noam Chai, Anatoly Dymarsky, and Michael Smolkin | A model of persistent breaking of discrete symmetry | corrections and references added | null | 10.1103/PhysRevLett.128.011601 | null | hep-th cond-mat.str-el | http://creativecommons.org/licenses/by/4.0/ | We show there exist UV-complete field-theoretic models in general dimension,
including $2+1$, with the spontaneous breaking of a global symmetry, which
persists to the arbitrarily high temperatures. Our example is a conformal
vector model with the $O(N)\times \mathbb{Z}_2$ symmetry at zero temperature.
Using conformal perturbation theory we establish $\mathbb{Z}_2$ symmetry is
broken at finite temperature for $N>10$. Similar to recent constructions, in
the infinite $N$ limit our model has a non-trivial conformal manifold, a moduli
space of vacua, which gets deformed at finite temperature. Furthermore, in this
regime the model admits a persistent breaking of $O(N)$ in $2+1$ dimensions,
therefore providing another example where the Coleman-Hohenberg-Mermin-Wagner
theorem can be bypassed.
| [
{
"created": "Thu, 17 Jun 2021 18:00:00 GMT",
"version": "v1"
},
{
"created": "Sun, 18 Jul 2021 08:46:29 GMT",
"version": "v2"
}
] | 2022-01-12 | [
[
"Chai",
"Noam",
""
],
[
"Dymarsky",
"Anatoly",
""
],
[
"Smolkin",
"Michael",
""
]
] | We show there exist UV-complete field-theoretic models in general dimension, including $2+1$, with the spontaneous breaking of a global symmetry, which persists to the arbitrarily high temperatures. Our example is a conformal vector model with the $O(N)\times \mathbb{Z}_2$ symmetry at zero temperature. Using conformal perturbation theory we establish $\mathbb{Z}_2$ symmetry is broken at finite temperature for $N>10$. Similar to recent constructions, in the infinite $N$ limit our model has a non-trivial conformal manifold, a moduli space of vacua, which gets deformed at finite temperature. Furthermore, in this regime the model admits a persistent breaking of $O(N)$ in $2+1$ dimensions, therefore providing another example where the Coleman-Hohenberg-Mermin-Wagner theorem can be bypassed. |
1110.6182 | Francisco Pedro | Michele Cicoli, Francisco G. Pedro, Gianmassimo Tasinato | Poly-instanton Inflation | 20 pages, 4 figures | null | 10.1088/1475-7516/2011/12/022 | null | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a new inflationary scenario in type IIB Calabi-Yau
compactifications, where the inflaton is a K\"ahler modulus parameterising the
volume of an internal four-cycle. The inflaton potential is generated via
poly-instanton corrections to the superpotential which give rise to a naturally
flat direction due to their double exponential suppression. Given that the
volume mode is kept stable during inflation, all the inflaton-dependent higher
dimensional operators are suppressed. Moreover, string loop effects can be
shown to be negligible throughout all the inflationary dynamics for natural
values of the underlying parameters. The model is characterised by a reheating
temperature of the order $T_{\rm rh}\simeq 10^6$ GeV which requires $N_e \simeq
54$ e-foldings of inflation. All the inflationary observables are compatible
with current observations since the spectral index is $n_s \simeq 0.96$, while
the tensor-to-scalar ratio is $r\simeq 10^{-5}$. The volume of the Calabi-Yau
is of order $10^3$ in string units, corresponding to an inflationary scale
around $10^{15}$ GeV
| [
{
"created": "Thu, 27 Oct 2011 20:01:03 GMT",
"version": "v1"
}
] | 2015-06-03 | [
[
"Cicoli",
"Michele",
""
],
[
"Pedro",
"Francisco G.",
""
],
[
"Tasinato",
"Gianmassimo",
""
]
] | We propose a new inflationary scenario in type IIB Calabi-Yau compactifications, where the inflaton is a K\"ahler modulus parameterising the volume of an internal four-cycle. The inflaton potential is generated via poly-instanton corrections to the superpotential which give rise to a naturally flat direction due to their double exponential suppression. Given that the volume mode is kept stable during inflation, all the inflaton-dependent higher dimensional operators are suppressed. Moreover, string loop effects can be shown to be negligible throughout all the inflationary dynamics for natural values of the underlying parameters. The model is characterised by a reheating temperature of the order $T_{\rm rh}\simeq 10^6$ GeV which requires $N_e \simeq 54$ e-foldings of inflation. All the inflationary observables are compatible with current observations since the spectral index is $n_s \simeq 0.96$, while the tensor-to-scalar ratio is $r\simeq 10^{-5}$. The volume of the Calabi-Yau is of order $10^3$ in string units, corresponding to an inflationary scale around $10^{15}$ GeV |
2312.04680 | Juan Pablo Gatica | Juan Pablo Gatica | The Eikonal Phase and Spinning Observables | null | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We set up the Kosower, Maybee, O'Connell formalism for generic spin following
a previous field theory construction and use it to extract a next-to-leading
order eikonal formula for the linear-in-spin momentum impulse, $\Delta
p^{\mu}$, and spin kick, $\Delta S^{\mu \nu}$. We explicitly test the formalism
for the case of electrodynamics and find agreement with previous QFT and
worldline results. This includes the case where multiple spins propagate with
allowed spin transitions, or equivalently where no spin supplementary condition
is imposed on the worldline equations of motion.
| [
{
"created": "Thu, 7 Dec 2023 20:20:15 GMT",
"version": "v1"
}
] | 2023-12-11 | [
[
"Gatica",
"Juan Pablo",
""
]
] | We set up the Kosower, Maybee, O'Connell formalism for generic spin following a previous field theory construction and use it to extract a next-to-leading order eikonal formula for the linear-in-spin momentum impulse, $\Delta p^{\mu}$, and spin kick, $\Delta S^{\mu \nu}$. We explicitly test the formalism for the case of electrodynamics and find agreement with previous QFT and worldline results. This includes the case where multiple spins propagate with allowed spin transitions, or equivalently where no spin supplementary condition is imposed on the worldline equations of motion. |
0906.4978 | Nicolas Yunes | S. James Gates Jr., Sergei V. Ketov and Nicolas Yunes | Seeking the Loop Quantum Gravity Barbero-Immirzi Parameter and Field in
4D, $\cal N$ = 1 Supergravity | 20 pages, 1 figure. Replaced with accepted version in Phys. Rev. D | Phys.Rev.D80:065003,2009 | 10.1103/PhysRevD.80.065003 | UMDEPP 09-040 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We embed the Loop Quantum Gravity Barbero-Immirzi parameter and field within
an action describing 4D, $\cal N$ = 1 supergravity and thus within a Low Energy
Effective Action of Superstring/M-Theory. We use the fully gauge-covariant
description of supergravity in (curved) superspace. The gravitational constant
is replaced with the vacuum expectation value of a scalar field, which in local
supersymmetry is promoted to a complex, covariantly chiral scalar superfield.
The imaginary part of this superfield couples to a supersymmetric Holst term.
The Holst term also serves as a starting point in the Loop Quantum Gravity
action. This suggest the possibility of a relation between Loop Quantum Gravity
and supersymmetric string theory, where the Barbero-Immirzi parameter and field
of the former play the role of the supersymmetric axion in the latter. Adding
matter fermions in Loop Quantum Gravity may require the extension of the Holst
action through the Nieh-Yan topological invariant, while in pure, matter-free
supergravity their supersymmetric extensions are the same. We show that, when
the Barbero-Immirzi parameter is promoted to a field in the context of 4D
supergravity, it is equivalent to adding a dynamical complex chiral
(dilaton-axion) superfield with a non-trivial kinetic term (or K\"ahler
potential), coupled to supergravity.
| [
{
"created": "Fri, 26 Jun 2009 17:13:45 GMT",
"version": "v1"
},
{
"created": "Sat, 27 Jun 2009 13:20:03 GMT",
"version": "v2"
},
{
"created": "Fri, 28 Aug 2009 21:15:14 GMT",
"version": "v3"
}
] | 2009-09-29 | [
[
"Gates",
"S. James",
"Jr."
],
[
"Ketov",
"Sergei V.",
""
],
[
"Yunes",
"Nicolas",
""
]
] | We embed the Loop Quantum Gravity Barbero-Immirzi parameter and field within an action describing 4D, $\cal N$ = 1 supergravity and thus within a Low Energy Effective Action of Superstring/M-Theory. We use the fully gauge-covariant description of supergravity in (curved) superspace. The gravitational constant is replaced with the vacuum expectation value of a scalar field, which in local supersymmetry is promoted to a complex, covariantly chiral scalar superfield. The imaginary part of this superfield couples to a supersymmetric Holst term. The Holst term also serves as a starting point in the Loop Quantum Gravity action. This suggest the possibility of a relation between Loop Quantum Gravity and supersymmetric string theory, where the Barbero-Immirzi parameter and field of the former play the role of the supersymmetric axion in the latter. Adding matter fermions in Loop Quantum Gravity may require the extension of the Holst action through the Nieh-Yan topological invariant, while in pure, matter-free supergravity their supersymmetric extensions are the same. We show that, when the Barbero-Immirzi parameter is promoted to a field in the context of 4D supergravity, it is equivalent to adding a dynamical complex chiral (dilaton-axion) superfield with a non-trivial kinetic term (or K\"ahler potential), coupled to supergravity. |
hep-th/0601204 | Volker Braun | Volker Braun, Yang-Hui He, Burt A. Ovrut | Yukawa Couplings in Heterotic Standard Models | 21 pages, LaTeX | JHEP 0604:019,2006 | 10.1088/1126-6708/2006/04/019 | null | hep-th | null | In this paper, we present a formalism for computing the Yukawa couplings in
heterotic standard models. This is accomplished by calculating the relevant
triple products of cohomology groups, leading to terms proportional to Q*H*u,
Q*Hbar*d, L*H*nu and L*Hbar*e in the low energy superpotential. These
interactions are subject to two very restrictive selection rules arising from
the geometry of the Calabi-Yau manifold. We apply our formalism to the
"minimal" heterotic standard model whose observable sector matter spectrum is
exactly that of the MSSM. The non-vanishing Yukawa interactions are explicitly
computed in this context. These interactions exhibit a texture rendering one
out of the three quark/lepton families naturally light.
| [
{
"created": "Fri, 27 Jan 2006 18:53:17 GMT",
"version": "v1"
}
] | 2010-12-03 | [
[
"Braun",
"Volker",
""
],
[
"He",
"Yang-Hui",
""
],
[
"Ovrut",
"Burt A.",
""
]
] | In this paper, we present a formalism for computing the Yukawa couplings in heterotic standard models. This is accomplished by calculating the relevant triple products of cohomology groups, leading to terms proportional to Q*H*u, Q*Hbar*d, L*H*nu and L*Hbar*e in the low energy superpotential. These interactions are subject to two very restrictive selection rules arising from the geometry of the Calabi-Yau manifold. We apply our formalism to the "minimal" heterotic standard model whose observable sector matter spectrum is exactly that of the MSSM. The non-vanishing Yukawa interactions are explicitly computed in this context. These interactions exhibit a texture rendering one out of the three quark/lepton families naturally light. |
hep-th/9909169 | Norma Mankoc-Borstnik | Norma Mankoc Borstnik and Holger Bech Nielsen | Spins and charges in Grassmann space and Kahler spinors in space of
differential forms | Latex, 8 pages, no figures, invited talk given at the International
Workshop on Lorentz group, CPT and Neutrinos, Zacatecas, 23-26 June, 1999 | null | null | IJS.TP.99/17, NBI-HE-99-35, CERN-TH/99-288 | hep-th | null | One of us got spins and charges of not only scalars and vectors but also of
spinors out of fields, which are antisymmetric tensor fields. Kahler got spins
of spinors out of differential forms, which again are antisymmetric tensor
fields. Using our simple Grassmann formulation of spins and charges of either
spinors or vectors and comparing it to the Dirac-Kahler formulation of spinors,
we generalize the Dirac-Kahler approach to vector internal degrees of freedom
and to charges of either spinors or vectors and tenzors and point out how at
all spinors can appear in both approaches.
| [
{
"created": "Thu, 23 Sep 1999 12:44:27 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Borstnik",
"Norma Mankoc",
""
],
[
"Nielsen",
"Holger Bech",
""
]
] | One of us got spins and charges of not only scalars and vectors but also of spinors out of fields, which are antisymmetric tensor fields. Kahler got spins of spinors out of differential forms, which again are antisymmetric tensor fields. Using our simple Grassmann formulation of spins and charges of either spinors or vectors and comparing it to the Dirac-Kahler formulation of spinors, we generalize the Dirac-Kahler approach to vector internal degrees of freedom and to charges of either spinors or vectors and tenzors and point out how at all spinors can appear in both approaches. |
1904.12124 | Wu-zhong Guo | Wu-zhong Guo | Entanglement of purification and disentanglement in CFTs | references added, significantly improve the result in section 3.3,
where we obtain a operator equality | null | 10.1007/JHEP09(2019)080 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the entanglement of purification (EoP) of subsystem $A$ and B in
conformal field theories (CFTs) stressing on its relation to unitary operations
of disentanglement, if the auxiliary subsystem $\tilde{A}$ adjoins $A$ and
$\tilde{A}\tilde{B}$ is the complement of $AB$. We estimate the amount of the
disentanglement by using the holographic EoP conjecture as well as the
inequality of Von Neumann entropy. Denote the state that produces the EoP by
$|\psi\rangle_M$. We calculate the variance of entanglement entropy of
$A\tilde{A}$ in the state $|\psi(\delta)\rangle:=e^{i\delta
H_{\tilde{A}\tilde{B}}}|\psi\rangle_M$. We find a constraint on the state
$|\psi\rangle_M$, $[K_{A\tilde{A},M},O_{\tilde{A}}]=0$, where
$K_{A\tilde{A},M}$ is the modular Hamiltonian of $A\tilde{A}$ in the state
$|\psi\rangle_M$, $O_{\tilde{A}}\in \mathscr{R}(\tilde{A})$ is an arbitrary
operator. We also study three different states that can be seen as disentangled
states. Two of them can produce the holographic EoP result in some limit. But
we show that none of they could be a candidate of the state $|\psi\rangle_M$,
since the distance between these three states and $|\psi\rangle_M$ is very
large.
| [
{
"created": "Sat, 27 Apr 2019 07:52:18 GMT",
"version": "v1"
},
{
"created": "Mon, 20 May 2019 05:32:22 GMT",
"version": "v2"
}
] | 2019-10-02 | [
[
"Guo",
"Wu-zhong",
""
]
] | We study the entanglement of purification (EoP) of subsystem $A$ and B in conformal field theories (CFTs) stressing on its relation to unitary operations of disentanglement, if the auxiliary subsystem $\tilde{A}$ adjoins $A$ and $\tilde{A}\tilde{B}$ is the complement of $AB$. We estimate the amount of the disentanglement by using the holographic EoP conjecture as well as the inequality of Von Neumann entropy. Denote the state that produces the EoP by $|\psi\rangle_M$. We calculate the variance of entanglement entropy of $A\tilde{A}$ in the state $|\psi(\delta)\rangle:=e^{i\delta H_{\tilde{A}\tilde{B}}}|\psi\rangle_M$. We find a constraint on the state $|\psi\rangle_M$, $[K_{A\tilde{A},M},O_{\tilde{A}}]=0$, where $K_{A\tilde{A},M}$ is the modular Hamiltonian of $A\tilde{A}$ in the state $|\psi\rangle_M$, $O_{\tilde{A}}\in \mathscr{R}(\tilde{A})$ is an arbitrary operator. We also study three different states that can be seen as disentangled states. Two of them can produce the holographic EoP result in some limit. But we show that none of they could be a candidate of the state $|\psi\rangle_M$, since the distance between these three states and $|\psi\rangle_M$ is very large. |
hep-th/0110253 | Saul Youssef | Saul Youssef | Physics with exotic probability theory | null | null | null | null | hep-th quant-ph | null | Probability theory can be modified in essentially one way while maintaining
consistency with the basic Bayesian framework. This modification results in
copies of standard probability theory for real, complex or quaternion
probabilities. These copies, in turn, allow one to derive quantum theory while
restoring standard probability theory in the classical limit. The argument
leading to these three copies constrain physical theories in the same sense
that Cox's original arguments constrain alternatives to standard probability
theory. This sequence is presented in some detail with emphasis on questions
beyond basic quantum theory where new insights are needed.
| [
{
"created": "Mon, 29 Oct 2001 06:07:02 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Dec 2001 07:59:54 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Youssef",
"Saul",
""
]
] | Probability theory can be modified in essentially one way while maintaining consistency with the basic Bayesian framework. This modification results in copies of standard probability theory for real, complex or quaternion probabilities. These copies, in turn, allow one to derive quantum theory while restoring standard probability theory in the classical limit. The argument leading to these three copies constrain physical theories in the same sense that Cox's original arguments constrain alternatives to standard probability theory. This sequence is presented in some detail with emphasis on questions beyond basic quantum theory where new insights are needed. |
2406.17856 | Thomas Colas | Thomas Colas, Julien Grain, Greg Kaplanek, Vincent Vennin | In-in formalism for the entropy of quantum fields in curved spacetimes | 42 pages without appendices (65 pages in total), 14 figures | null | null | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show how to compute the purity and entanglement entropy for quantum fields
in a systematic perturbative expansion. To that end, we generalize the in-in
formalism to non-unitary dynamics (i.e. accounting for the presence of an
environment) and to the calculation of quantum information measures, which are
not observables in the usual sense. This allows us to reduce the problem to one
involving standard correlation functions, and to organize their computation in
a diagrammatic expansion for which we construct the corresponding Feynman
rules. As an illustration, we apply the formalism to a cosmological setting
inspired by the effective field theory of inflation. We find that at late
times, non-linear loop corrections share the same time behavior as the linear
contribution, and only yield a slight redressing of the purity. In particular,
when the environment is heavy compared to the Hubble scale, the phenomenon of
recoherence previously encountered is robust to the class of non-linear
extensions considered. Bridging the gap between perturbative quantum field
theory and open quantum systems paves the way to a better understanding of
renormalization and resummation in open effective field theories. It also
enables a more systematic exploration of quantum information properties in
field theoretic settings.
| [
{
"created": "Tue, 25 Jun 2024 18:00:38 GMT",
"version": "v1"
}
] | 2024-06-27 | [
[
"Colas",
"Thomas",
""
],
[
"Grain",
"Julien",
""
],
[
"Kaplanek",
"Greg",
""
],
[
"Vennin",
"Vincent",
""
]
] | We show how to compute the purity and entanglement entropy for quantum fields in a systematic perturbative expansion. To that end, we generalize the in-in formalism to non-unitary dynamics (i.e. accounting for the presence of an environment) and to the calculation of quantum information measures, which are not observables in the usual sense. This allows us to reduce the problem to one involving standard correlation functions, and to organize their computation in a diagrammatic expansion for which we construct the corresponding Feynman rules. As an illustration, we apply the formalism to a cosmological setting inspired by the effective field theory of inflation. We find that at late times, non-linear loop corrections share the same time behavior as the linear contribution, and only yield a slight redressing of the purity. In particular, when the environment is heavy compared to the Hubble scale, the phenomenon of recoherence previously encountered is robust to the class of non-linear extensions considered. Bridging the gap between perturbative quantum field theory and open quantum systems paves the way to a better understanding of renormalization and resummation in open effective field theories. It also enables a more systematic exploration of quantum information properties in field theoretic settings. |
1312.1000 | Kiyoshi Kamimura | Daniele Dominici, Joaquim Gomis, Kiyoshi Kamimura and Giorgio Longhi | Dynamical sectors of a relativistic two particle model | 15 pages, no figure, title and abstract have been modified | Phys. Rev. D 89, 045001 (2014) | 10.1103/PhysRevD.89.045001 | CERN-PH-TH/2013-284, ICCUB-13-243 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We reconsider a model of two relativistic particles interacting via a
multiplicative potential, as an example of a simple dynamical system with
sectors, or branches, with different dynamics and degrees of freedom.The
presence or absence of sectors depends on the values of rest masses. Some
aspects of the canonical quantization are described. The model could be
interpreted as a bigravity model in one dimension.
| [
{
"created": "Wed, 4 Dec 2013 01:34:10 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Dec 2013 07:17:01 GMT",
"version": "v2"
}
] | 2014-02-12 | [
[
"Dominici",
"Daniele",
""
],
[
"Gomis",
"Joaquim",
""
],
[
"Kamimura",
"Kiyoshi",
""
],
[
"Longhi",
"Giorgio",
""
]
] | We reconsider a model of two relativistic particles interacting via a multiplicative potential, as an example of a simple dynamical system with sectors, or branches, with different dynamics and degrees of freedom.The presence or absence of sectors depends on the values of rest masses. Some aspects of the canonical quantization are described. The model could be interpreted as a bigravity model in one dimension. |
1401.4579 | Finn Gubay | Finn Gubay, Peter West | Poisson equations, higher derivative automorphic forms and string
parameter limits | 47 pages, references added and typos corrected | null | 10.1007/JHEP06(2014)118 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper considers the higher derivative terms in the effective action of
type II string theory and in particular the behaviour of the automorphic forms
they contain in all the different possible limits of the string parameters. The
automorphic forms are thought to obey Poisson equations which contain the
Laplacian defined on the coset space to which the scalars fields belong and we
compute this Laplacian in all the possible string theory limits. We also
consider these Poisson equations in the decompactification limit of a single
dimension and by making two assumptions, one on the generic form of this
equation and the other on the behaviour of the automorphic forms in this limit,
we find strong constraints on the allowed form of this differential equation.
We show that these constraints allow one to recover much of what was previously
known about the automorphic forms corresponding to terms in the effective
action that have fourteen or fewer space-time derivatives in a simple way.
| [
{
"created": "Sat, 18 Jan 2014 18:40:12 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Apr 2014 22:37:21 GMT",
"version": "v2"
}
] | 2015-06-18 | [
[
"Gubay",
"Finn",
""
],
[
"West",
"Peter",
""
]
] | This paper considers the higher derivative terms in the effective action of type II string theory and in particular the behaviour of the automorphic forms they contain in all the different possible limits of the string parameters. The automorphic forms are thought to obey Poisson equations which contain the Laplacian defined on the coset space to which the scalars fields belong and we compute this Laplacian in all the possible string theory limits. We also consider these Poisson equations in the decompactification limit of a single dimension and by making two assumptions, one on the generic form of this equation and the other on the behaviour of the automorphic forms in this limit, we find strong constraints on the allowed form of this differential equation. We show that these constraints allow one to recover much of what was previously known about the automorphic forms corresponding to terms in the effective action that have fourteen or fewer space-time derivatives in a simple way. |
1503.06785 | Andrei Linde | Renata Kallosh and Andrei Linde | Escher in the Sky | 11 pages, 12 figures, Introductory part is extended, references added | null | 10.1016/j.crhy.2015.07.004 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The cosmological models called $\alpha$-attractors provide an excellent fit
to the latest observational data. Their predictions $n_{s} = 1-2/N$ and $r =
12\alpha/N^{2}$ are very robust with respect to the modifications of the
inflaton potential. An intriguing interpretation of $\alpha$-attractors is
based on a geometric moduli space with a boundary: a Poincare disk model of a
hyperbolic geometry with the radius $\sqrt{3\alpha}$, beautifully represented
by the Escher's picture Circle Limit IV. In such models, the amplitude of the
gravitational waves is proportional to the square of the radius of the Poincare
disk.
| [
{
"created": "Mon, 23 Mar 2015 19:55:42 GMT",
"version": "v1"
},
{
"created": "Tue, 5 May 2015 15:53:02 GMT",
"version": "v2"
}
] | 2016-01-20 | [
[
"Kallosh",
"Renata",
""
],
[
"Linde",
"Andrei",
""
]
] | The cosmological models called $\alpha$-attractors provide an excellent fit to the latest observational data. Their predictions $n_{s} = 1-2/N$ and $r = 12\alpha/N^{2}$ are very robust with respect to the modifications of the inflaton potential. An intriguing interpretation of $\alpha$-attractors is based on a geometric moduli space with a boundary: a Poincare disk model of a hyperbolic geometry with the radius $\sqrt{3\alpha}$, beautifully represented by the Escher's picture Circle Limit IV. In such models, the amplitude of the gravitational waves is proportional to the square of the radius of the Poincare disk. |
hep-th/0504191 | Sergei V. Ketov | T. Hatanaka, S. V. Ketov and S. Sasaki | Summing up Non-anti-commutative Kaehler potential | 9 pages, LaTeX, no figures; section 5 and references added | Phys.Lett. B619 (2005) 352-358 | 10.1016/j.physletb.2005.06.014 | null | hep-th | null | We offer a simple non-perturbative formula for the component action of a
generic N=1/2 supersymmetric chiral model in terms of an arbitrary number of
chiral superfields in four dimensions, which is obtained by the
Non-Anti-Commutative (NAC) deformation of a generic four-dimensional N=1
supersymmetric non-linear sigma-model described by arbitrary Kaehler
superpotential and scalar superpotential. The auxiliary integrations
responsible for fuzziness are eliminated in the case of a single chiral
superfield. The scalar potential in components is derived by eliminating the
auxiliary fields. The NAC-deformation of the CP(1) Kaehler non-linear
sigma-model with an arbitrary scalar superpotential is calculated as an
example.
| [
{
"created": "Sun, 24 Apr 2005 05:36:13 GMT",
"version": "v1"
},
{
"created": "Sun, 1 May 2005 04:03:11 GMT",
"version": "v2"
},
{
"created": "Thu, 9 Jun 2005 06:44:19 GMT",
"version": "v3"
}
] | 2010-04-05 | [
[
"Hatanaka",
"T.",
""
],
[
"Ketov",
"S. V.",
""
],
[
"Sasaki",
"S.",
""
]
] | We offer a simple non-perturbative formula for the component action of a generic N=1/2 supersymmetric chiral model in terms of an arbitrary number of chiral superfields in four dimensions, which is obtained by the Non-Anti-Commutative (NAC) deformation of a generic four-dimensional N=1 supersymmetric non-linear sigma-model described by arbitrary Kaehler superpotential and scalar superpotential. The auxiliary integrations responsible for fuzziness are eliminated in the case of a single chiral superfield. The scalar potential in components is derived by eliminating the auxiliary fields. The NAC-deformation of the CP(1) Kaehler non-linear sigma-model with an arbitrary scalar superpotential is calculated as an example. |
2112.06248 | Hans-Peter Pavel | Hans-Peter Pavel | Low-energy spectrum of SU(3) Yang-Mills Quantum Mechanics | 35 pages, 10 figures | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | The SU(3) Yang-Mills Quantum Mechanics of spatially constant gluon fields is
considered in the unconstrained Hamiltonian approach using the "flux-tube
gauge". The Faddeev-Popov operator, its determinant and inverse, are rather
simple, but show a highly non-trivial periodic structure of six Gribov-horizons
separating six Weyl-chambers. The low-energy eigensystem of the obtained
physical Hamiltonian can be calculated (in principle with arbitrary high
precision) using the orthonormal basis of eigenstates of the corresponding
harmonic oscillator problem with the same non-trivial Jacobian only replacing
the chromomagnetic potential by the 16-dimensional harmonic oscillator
potential. This turns out to be integrable and its eigenstates be made out of
orthogonal polynomials of the 45 components of eight irreducible symmetric
tensors. The calculations in this work have been carried out in all sectors
$J^{PC}$ up to spin $J=11$, and up to polynomial order $10$ for even and $11$
for odd parity. The low-energy eigensystem of the physical Hamiltonian of
$SU(3)$ Yang-Mills Quantum Mechanics is found to converge nicely when
truncating at higher and higher polynomial order (equivalent to increasing the
resolution in functional space). Our results are in good agreement with the
results of Weisz and Ziemann (1986) using the constrained Hamiltonian approach.
We find excellent agreement in the $0^{++}$ and $2^{++}$ sectors, much more
accurate values in other sectors considered by them, e.g. in the $1^{--}$ and
$3^{--}$ sectors , and quite accurate "new results" for the sectors not
considered by them, e.g. $2^{--}, 4^{--}, 5^{--}, 3^{++}$.
| [
{
"created": "Sun, 12 Dec 2021 14:30:06 GMT",
"version": "v1"
}
] | 2021-12-14 | [
[
"Pavel",
"Hans-Peter",
""
]
] | The SU(3) Yang-Mills Quantum Mechanics of spatially constant gluon fields is considered in the unconstrained Hamiltonian approach using the "flux-tube gauge". The Faddeev-Popov operator, its determinant and inverse, are rather simple, but show a highly non-trivial periodic structure of six Gribov-horizons separating six Weyl-chambers. The low-energy eigensystem of the obtained physical Hamiltonian can be calculated (in principle with arbitrary high precision) using the orthonormal basis of eigenstates of the corresponding harmonic oscillator problem with the same non-trivial Jacobian only replacing the chromomagnetic potential by the 16-dimensional harmonic oscillator potential. This turns out to be integrable and its eigenstates be made out of orthogonal polynomials of the 45 components of eight irreducible symmetric tensors. The calculations in this work have been carried out in all sectors $J^{PC}$ up to spin $J=11$, and up to polynomial order $10$ for even and $11$ for odd parity. The low-energy eigensystem of the physical Hamiltonian of $SU(3)$ Yang-Mills Quantum Mechanics is found to converge nicely when truncating at higher and higher polynomial order (equivalent to increasing the resolution in functional space). Our results are in good agreement with the results of Weisz and Ziemann (1986) using the constrained Hamiltonian approach. We find excellent agreement in the $0^{++}$ and $2^{++}$ sectors, much more accurate values in other sectors considered by them, e.g. in the $1^{--}$ and $3^{--}$ sectors , and quite accurate "new results" for the sectors not considered by them, e.g. $2^{--}, 4^{--}, 5^{--}, 3^{++}$. |
hep-th/9604003 | Ioannis Bakas | I. Bakas, K. Sfetsos | Toda fields of SO(3) hyper-Kahler metrics and free field realizations | A few typos have been corrected; final version | Int.J.Mod.Phys. A12 (1997) 2585-2612 | 10.1142/S0217751X97001456 | null | hep-th | null | The Eguchi-Hanson, Taub-NUT and Atiyah-Hitchin metrics are the only complete
non-singular SO(3)-invariant hyper-Kahler metrics in four dimensions. The
presence of a rotational SO(2) isometry allows for their unified treatment
based on solutions of the 3-dim continual Toda equation. We determine the Toda
potential in each case and examine the free field realization of the
corresponding solutions, using infinite power series expansions. The
Atiyah-Hitchin metric exhibits some unusual features attributed to topological
properties of the group of area preserving diffeomorphisms. The construction of
a descending series of SO(2)-invariant 4-dim regular hyper-Kahler metrics
remains an interesting question.
| [
{
"created": "Mon, 1 Apr 1996 18:28:01 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Sep 1996 11:50:06 GMT",
"version": "v2"
},
{
"created": "Sun, 22 Jun 1997 12:41:26 GMT",
"version": "v3"
}
] | 2009-10-30 | [
[
"Bakas",
"I.",
""
],
[
"Sfetsos",
"K.",
""
]
] | The Eguchi-Hanson, Taub-NUT and Atiyah-Hitchin metrics are the only complete non-singular SO(3)-invariant hyper-Kahler metrics in four dimensions. The presence of a rotational SO(2) isometry allows for their unified treatment based on solutions of the 3-dim continual Toda equation. We determine the Toda potential in each case and examine the free field realization of the corresponding solutions, using infinite power series expansions. The Atiyah-Hitchin metric exhibits some unusual features attributed to topological properties of the group of area preserving diffeomorphisms. The construction of a descending series of SO(2)-invariant 4-dim regular hyper-Kahler metrics remains an interesting question. |
0712.1650 | Balachandran Sathiapalan | B. Sathiapalan | Gauge Invariant Action for the Open Bosonic String | 19 pages, Latex file | Int.J.Mod.Phys.A23:1001-1017,2008 | 10.1142/S0217751X08039323 | IMSC/2007/12/17 | hep-th | null | The issue of space time gauge invariance for the bosonic string has been
earlier addressed using the loop variable formalism.
In this paper the question of obtaining a gauge invariant action for the open
bosonic string is discussed. The derivative w.r.t $ln a$ (where $a$ is a world
sheet cutoff) of the partition function - which is first normalized by dividing
by the integral of the two point function of a marginal operator - is a
candidate for the action. Applied to the zero-momentum tachyon it gives a
tachyon potential that is similar to those that have been obtained using
Witten's background independent formalism. This procedure is easily made gauge
invariant in the loop variable formalism by replacing $ln a$ by $\Sigma$ which
is the generalization of the Liouville mode that occurs in this formalism. We
also describe a method of resumming the Taylor expansion that is done in the
loop variable formalism. This allows one to see the pole structure of string
amplitudes that would not be visible in the original loop variable formalism.
| [
{
"created": "Tue, 11 Dec 2007 06:19:07 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Sathiapalan",
"B.",
""
]
] | The issue of space time gauge invariance for the bosonic string has been earlier addressed using the loop variable formalism. In this paper the question of obtaining a gauge invariant action for the open bosonic string is discussed. The derivative w.r.t $ln a$ (where $a$ is a world sheet cutoff) of the partition function - which is first normalized by dividing by the integral of the two point function of a marginal operator - is a candidate for the action. Applied to the zero-momentum tachyon it gives a tachyon potential that is similar to those that have been obtained using Witten's background independent formalism. This procedure is easily made gauge invariant in the loop variable formalism by replacing $ln a$ by $\Sigma$ which is the generalization of the Liouville mode that occurs in this formalism. We also describe a method of resumming the Taylor expansion that is done in the loop variable formalism. This allows one to see the pole structure of string amplitudes that would not be visible in the original loop variable formalism. |
0804.3341 | Sami Saxell | Sami Saxell | On general properties of Lorentz invariant formulation of noncommutative
quantum field theory | 13 pages, references added | Phys.Lett.B666:486-490,2008 | 10.1016/j.physletb.2008.07.096 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study general properties of certain Lorentz invariant noncommutative
quantum field theories proposed in the literature. We show that causality in
those theories does not hold, in contrast to the canonical noncommutative field
theory with the light-wedge causality condition. This is the consequence of the
infinite nonlocality of the theory getting spread in all spacetime directions.
We also show that the time-ordered perturbation theory arising from the
Hamiltonian formulation of noncommutative quantum field theories remains
inequivalent to the covariant perturbation theory with usual Feynman rules even
after restoration of Lorentz symmetry.
| [
{
"created": "Mon, 21 Apr 2008 15:41:17 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Aug 2008 10:39:49 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Saxell",
"Sami",
""
]
] | We study general properties of certain Lorentz invariant noncommutative quantum field theories proposed in the literature. We show that causality in those theories does not hold, in contrast to the canonical noncommutative field theory with the light-wedge causality condition. This is the consequence of the infinite nonlocality of the theory getting spread in all spacetime directions. We also show that the time-ordered perturbation theory arising from the Hamiltonian formulation of noncommutative quantum field theories remains inequivalent to the covariant perturbation theory with usual Feynman rules even after restoration of Lorentz symmetry. |
2002.07816 | Alessandro Mininno | Federico Carta, Alessandro Mininno | No go for a flow | 37 pages, 2 figures, 15 tables, 3 ancillary files. version 2,
accepted in JHEP | null | 10.1007/JHEP05(2020)108 | DESY 20-021, IFT-UAM/CSIC-20-24 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We prove that a very large class of $15502$ general Argyres-Douglas theories
cannot admit a UV lagrangian which flows to them via the Maruyoshi-Song
supersymmetry enhancement mechanism. We do so by developing a computer program
which brute-force lists, for any given 4d $\mathcal{N}=2$ superconformal theory
$\mathcal{T}_{\text{IR}}$, all possible UV candidate superconformal lagrangians
$\mathcal{T}_{\text{UV}}$ satisfying some necessary criteria for the
supersymmetry enhancement to happen. We argue that this is enough evidence to
conjecture that it is impossible, in general, to find new examples of
Maruyoshi-Song lagrangians for generalized Argyres-Douglas theories. All
lagrangians already known are, on the other hand, recovered and confirmed in
our scan. Finally, we also develop another program to compute efficiently
Coulomb branch spectrum, masses, couplings and central charges for $(G,G')$
Argyres-Douglas theories of arbitrarily high rank.
| [
{
"created": "Tue, 18 Feb 2020 19:00:01 GMT",
"version": "v1"
},
{
"created": "Sat, 2 May 2020 16:00:33 GMT",
"version": "v2"
}
] | 2020-06-24 | [
[
"Carta",
"Federico",
""
],
[
"Mininno",
"Alessandro",
""
]
] | We prove that a very large class of $15502$ general Argyres-Douglas theories cannot admit a UV lagrangian which flows to them via the Maruyoshi-Song supersymmetry enhancement mechanism. We do so by developing a computer program which brute-force lists, for any given 4d $\mathcal{N}=2$ superconformal theory $\mathcal{T}_{\text{IR}}$, all possible UV candidate superconformal lagrangians $\mathcal{T}_{\text{UV}}$ satisfying some necessary criteria for the supersymmetry enhancement to happen. We argue that this is enough evidence to conjecture that it is impossible, in general, to find new examples of Maruyoshi-Song lagrangians for generalized Argyres-Douglas theories. All lagrangians already known are, on the other hand, recovered and confirmed in our scan. Finally, we also develop another program to compute efficiently Coulomb branch spectrum, masses, couplings and central charges for $(G,G')$ Argyres-Douglas theories of arbitrarily high rank. |
hep-th/9603200 | Steven Thomas | Omduth Coceal, Wafic A. Sabra and Steven Thomas | Duality Invariant Magnetohydrodynamics And Dyons | 11 pages, latex | null | 10.1209/epl/i1996-00566-9 | null | hep-th plasm-ph | null | The theory of magnetohydrodynamics is extended to the cases of a plasma of
separate magnetic and electric charges, as well as to a plasma of dyons
respectively. In both these cases the system possesses electric-magnetic
duality symmetry. In the former case we find that because of the existence of
two independent generalized Ohm's law equations, the limit of infinite electric
and magnetic conductivity results in the vanishing of both electric and
magnetic fields, as well as the corresponding currents. In the dyonic case, we
find that the resulting duality-invariant system of equations are equivalent to
those of ordinary MHD, after suitable field redefinitions.
| [
{
"created": "Fri, 29 Mar 1996 23:50:11 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Coceal",
"Omduth",
""
],
[
"Sabra",
"Wafic A.",
""
],
[
"Thomas",
"Steven",
""
]
] | The theory of magnetohydrodynamics is extended to the cases of a plasma of separate magnetic and electric charges, as well as to a plasma of dyons respectively. In both these cases the system possesses electric-magnetic duality symmetry. In the former case we find that because of the existence of two independent generalized Ohm's law equations, the limit of infinite electric and magnetic conductivity results in the vanishing of both electric and magnetic fields, as well as the corresponding currents. In the dyonic case, we find that the resulting duality-invariant system of equations are equivalent to those of ordinary MHD, after suitable field redefinitions. |
1309.3902 | Stefano Bellucci | S. Bellucci, N. Kozyrev, S. Krivonos, A. Sutulin | Partial breaking of global supersymmetry and super particle actions | 13 pages, PACS: 11.30.Pb, 12.60.Jv, conclusion modified, removed
first sentence in the last paragraph, revised references | null | 10.1007/JHEP01(2014)154 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We argue the conjecture that the on-shell component super particle actions
have a universal form, in which the physical fermions enter the action through
the ein-bein and the space-time derivatives of the matter fields, only. We
explicitly constructed the actions for the super particles in $D=3$ realizing
the $N=4\cdot 2^{k} \rightarrow N=2\cdot 2^k$ pattern of supersymmetry
breaking, and in $D=5$ with the $N=16$ supersymmetry broken down to the $N=8$
one. All constructed actions have indeed a universal form, confirming our
conjecture. Our construction is strictly based on the assumption that in the
system we have one half breaking of the global supersymmetry, and on the very
special choice of the superspace coordinates and component fields.
| [
{
"created": "Mon, 16 Sep 2013 11:21:06 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Dec 2013 11:16:16 GMT",
"version": "v2"
},
{
"created": "Thu, 9 Jan 2014 14:55:21 GMT",
"version": "v3"
},
{
"created": "Sun, 2 Feb 2014 06:01:21 GMT",
"version": "v4"
}
] | 2015-06-17 | [
[
"Bellucci",
"S.",
""
],
[
"Kozyrev",
"N.",
""
],
[
"Krivonos",
"S.",
""
],
[
"Sutulin",
"A.",
""
]
] | We argue the conjecture that the on-shell component super particle actions have a universal form, in which the physical fermions enter the action through the ein-bein and the space-time derivatives of the matter fields, only. We explicitly constructed the actions for the super particles in $D=3$ realizing the $N=4\cdot 2^{k} \rightarrow N=2\cdot 2^k$ pattern of supersymmetry breaking, and in $D=5$ with the $N=16$ supersymmetry broken down to the $N=8$ one. All constructed actions have indeed a universal form, confirming our conjecture. Our construction is strictly based on the assumption that in the system we have one half breaking of the global supersymmetry, and on the very special choice of the superspace coordinates and component fields. |
hep-th/9304072 | Gautam Mandal | Avinash Dhar, Gautam Mandal and Spenta R. Wadia | Wave Propagation in Stringy Black Hole | 23p, TIFR-TH-93/05; (v3) tex error corrected | Mod.Phys.Lett.A8:1701-1718,1993 | 10.1142/S0217732393001446 | null | hep-th | null | We further study the nonperturbative formulation of two-dimensional black
holes. We find a nonlinear differential equation satisfied by the tachyon in
the black hole background. We show that singularities in the tachyon field
configurations are always associated with divergent semiclassical expansions
and are absent in the exact theory. We also discuss how the Euclidian black
hole emerges from an analytically continued fermion theory that corresponds to
the right side up harmonic oscillator potential.
| [
{
"created": "Sat, 17 Apr 1993 17:41:56 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Jun 2004 14:29:20 GMT",
"version": "v2"
}
] | 2010-11-01 | [
[
"Dhar",
"Avinash",
""
],
[
"Mandal",
"Gautam",
""
],
[
"Wadia",
"Spenta R.",
""
]
] | We further study the nonperturbative formulation of two-dimensional black holes. We find a nonlinear differential equation satisfied by the tachyon in the black hole background. We show that singularities in the tachyon field configurations are always associated with divergent semiclassical expansions and are absent in the exact theory. We also discuss how the Euclidian black hole emerges from an analytically continued fermion theory that corresponds to the right side up harmonic oscillator potential. |
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