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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2010.04233 | Nouman Muteeb M. | M.Nouman Muteeb | Domain walls and M2-branes partition functions: M-theory and ABJM Theory | some clarifications added in sections 1 and 2, more examples of mixed
partitions included in subsection 2.3, expanded discussion of gauged WZW
model in section 3, eq.47 expressed in terms of the open topological string
wavefunctions in eq.61, discussion on boundary conditions added in section 4 | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the BPS counting functions (free energies) of the M-string
configurations. We consider separated M5-branes along with M2-branes stretched
between them, with M5-branes acting as domain walls interpolating different
configurations of M2-branes. We find recursive structure in the free energies
of these configurations. The M-string degrees of freedom on the domain walls
are interpreted in terms of a pair of interacting supersymmetric WZW models. We
also compute the elliptic genus of the M-string in a toy model of the ABJM
theory and compare it with the M-theory computation.
| [
{
"created": "Thu, 8 Oct 2020 19:23:32 GMT",
"version": "v1"
},
{
"created": "Sat, 14 Aug 2021 12:54:19 GMT",
"version": "v2"
}
] | 2021-08-17 | [
[
"Muteeb",
"M. Nouman",
""
]
] | We study the BPS counting functions (free energies) of the M-string configurations. We consider separated M5-branes along with M2-branes stretched between them, with M5-branes acting as domain walls interpolating different configurations of M2-branes. We find recursive structure in the free energies of these configurations. The M-string degrees of freedom on the domain walls are interpreted in terms of a pair of interacting supersymmetric WZW models. We also compute the elliptic genus of the M-string in a toy model of the ABJM theory and compare it with the M-theory computation. |
0905.1431 | Washington Chagas-Filho | W. Chagas-Filho | Dual Quantum Mechanics | null | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We point out a possible complementation of the basic equations of quantum
mechanics in the presence of gravity. This complementation is suggested by the
well-known fact that quantum mechanics can be equivalently formulated in the
position or in the momentum representation. As a way to support this
complementation, starting from the action that describes conformal gravity in
the world-line formalism, we show that there are duality transformations that
relate the dynamics in the presence of position dependent vector and tensor
fields to the dynamics in the presence of momentum dependent vector and tensor
fields.
| [
{
"created": "Mon, 11 May 2009 13:57:57 GMT",
"version": "v1"
}
] | 2009-05-12 | [
[
"Chagas-Filho",
"W.",
""
]
] | We point out a possible complementation of the basic equations of quantum mechanics in the presence of gravity. This complementation is suggested by the well-known fact that quantum mechanics can be equivalently formulated in the position or in the momentum representation. As a way to support this complementation, starting from the action that describes conformal gravity in the world-line formalism, we show that there are duality transformations that relate the dynamics in the presence of position dependent vector and tensor fields to the dynamics in the presence of momentum dependent vector and tensor fields. |
hep-th/0403238 | Joris Raeymaekers | Atish Dabholkar, Ashik Iqubal, Joris Raeymaekers | Off-Shell Interactions for Closed-String Tachyons | 37 pages, 3 figures, LaTeX, JHEP class. Typos corrected, references
added, published version | JHEP 0405 (2004) 051 | 10.1088/1126-6708/2004/05/051 | null | hep-th | null | Off-shell interactions for localized closed-string tachyons in C/Z_N
superstring backgrounds are analyzed and a conjecture for the effective height
of the tachyon potential is elaborated. At large N, some of the relevant
tachyons are nearly massless and their interactions can be deduced from the
S-matrix. The cubic interactions between these tachyons and the massless fields
are computed in a closed form using orbifold CFT techniques. The cubic
interaction between nearly-massless tachyons with different charges is shown to
vanish and thus condensation of one tachyon does not source the others. It is
shown that to leading order in N, the quartic contact interaction vanishes and
the massless exchanges completely account for the four point scattering
amplitude. This indicates that it is necessary to go beyond quartic
interactions or to include other fields to test the conjecture for the height
of the tachyon potential.
| [
{
"created": "Wed, 24 Mar 2004 02:56:39 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Jun 2004 12:02:58 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Dabholkar",
"Atish",
""
],
[
"Iqubal",
"Ashik",
""
],
[
"Raeymaekers",
"Joris",
""
]
] | Off-shell interactions for localized closed-string tachyons in C/Z_N superstring backgrounds are analyzed and a conjecture for the effective height of the tachyon potential is elaborated. At large N, some of the relevant tachyons are nearly massless and their interactions can be deduced from the S-matrix. The cubic interactions between these tachyons and the massless fields are computed in a closed form using orbifold CFT techniques. The cubic interaction between nearly-massless tachyons with different charges is shown to vanish and thus condensation of one tachyon does not source the others. It is shown that to leading order in N, the quartic contact interaction vanishes and the massless exchanges completely account for the four point scattering amplitude. This indicates that it is necessary to go beyond quartic interactions or to include other fields to test the conjecture for the height of the tachyon potential. |
hep-th/0207121 | Andre van Tonder | Andre van Tonder (Brown University) | On the Representation Theory of Negative Spin | 21 pages, no figures, Latex2e | Nucl.Phys. B645 (2002) 387-402 | 10.1016/S0550-3213(02)00635-1 | BROWN-HET-1312 | hep-th math.RT | null | We construct a class of negative spin irreducible representations of the
su(2) Lie algebra. These representations are infinite-dimensional and have an
indefinite inner product. We analyze the decomposition of arbitrary products of
positive and negative representations with the help of generalized characters
and write down explicit reduction formulae for the products. From the
characters, we define effective dimensions for the negative spin
representations, find that they are fractional, and point out that the
dimensions behave consistently under multiplication and decomposition of
representations.
| [
{
"created": "Fri, 12 Jul 2002 16:44:16 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"van Tonder",
"Andre",
"",
"Brown University"
]
] | We construct a class of negative spin irreducible representations of the su(2) Lie algebra. These representations are infinite-dimensional and have an indefinite inner product. We analyze the decomposition of arbitrary products of positive and negative representations with the help of generalized characters and write down explicit reduction formulae for the products. From the characters, we define effective dimensions for the negative spin representations, find that they are fractional, and point out that the dimensions behave consistently under multiplication and decomposition of representations. |
1102.4539 | Frederik Coomans | Frederik Coomans, Jan De Rydt, Antoine Van Proeyen | Symplectic gaugings and the field-antifield formalism | Contribution to the Proceedings of the XVIth European Workshop on
String Theory in Madrid (June 14-18, 2010), 10 pages | Fortsch.Phys.59:658-664,2011 | 10.1002/prop.201100006 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give an example of how conventional gauging methods obstruct a systematic
analysis of gauged supergravities. We discuss how the embedding tensor
formalism deals with these problems and argue that the gauge algebra related to
the embedding tensor formalism is soft, open and reducible. We connect the
embedding tensor formalism to the field-antifield (or Batalin-Vilkovisky)
formalism, which is the most general formulation known for gauge theories.
| [
{
"created": "Tue, 22 Feb 2011 15:44:19 GMT",
"version": "v1"
}
] | 2011-06-09 | [
[
"Coomans",
"Frederik",
""
],
[
"De Rydt",
"Jan",
""
],
[
"Van Proeyen",
"Antoine",
""
]
] | We give an example of how conventional gauging methods obstruct a systematic analysis of gauged supergravities. We discuss how the embedding tensor formalism deals with these problems and argue that the gauge algebra related to the embedding tensor formalism is soft, open and reducible. We connect the embedding tensor formalism to the field-antifield (or Batalin-Vilkovisky) formalism, which is the most general formulation known for gauge theories. |
1011.2224 | Marvin Weinstein | Marvin Weinstein | Massive Degeneracy and Goldstone Bosons: A Challenge for the Light Cone | 7 pages, 5 figures, Invited Talk at Light Cone 2010, Valencia Spain | PoS LC2010:024,2010 | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Wherein it is argued that the light front formalism has problems dealing with
Goldstone symmetries. It is further argued that the notion that in hadron
condensates can explain Goldstone phenomena is false.
| [
{
"created": "Tue, 9 Nov 2010 21:32:17 GMT",
"version": "v1"
}
] | 2011-05-13 | [
[
"Weinstein",
"Marvin",
""
]
] | Wherein it is argued that the light front formalism has problems dealing with Goldstone symmetries. It is further argued that the notion that in hadron condensates can explain Goldstone phenomena is false. |
hep-th/9409127 | Franco Ferrari | F. Ferrari and J. Sobczyk | Operator Formalism on General Algebraic Curves | 34 pages of plain TeX + harvmac, With respect to the first version
some new references have been added and a statement in the Introduction has
been changed | null | 10.1016/0393-0440(95)00037-2 | Preprint UTF 333, IFT UWR 899/94 | hep-th alg-geom math.AG | null | The usual Laurent expansion of the analytic tensors on the complex plane is
generalized to any closed and orientable Riemann surface represented as an
affine algebraic curve. As an application, the operator formalism for the $b-c$
systems is developed. The physical states are expressed by means of creation
and annihilation operators as in the complex plane and the correlation
functions are evaluated starting from simple normal ordering rules. The Hilbert
space of the theory exhibits an interesting internal structure, being splitted
into $n$ ($n$ is the number of branches of the curve) independent Hilbert
spaces. Exploiting the operator formalism a large collection of explicit
formulas of string theory is derived.
| [
{
"created": "Wed, 21 Sep 1994 12:18:50 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Oct 1994 13:21:51 GMT",
"version": "v2"
}
] | 2015-06-26 | [
[
"Ferrari",
"F.",
""
],
[
"Sobczyk",
"J.",
""
]
] | The usual Laurent expansion of the analytic tensors on the complex plane is generalized to any closed and orientable Riemann surface represented as an affine algebraic curve. As an application, the operator formalism for the $b-c$ systems is developed. The physical states are expressed by means of creation and annihilation operators as in the complex plane and the correlation functions are evaluated starting from simple normal ordering rules. The Hilbert space of the theory exhibits an interesting internal structure, being splitted into $n$ ($n$ is the number of branches of the curve) independent Hilbert spaces. Exploiting the operator formalism a large collection of explicit formulas of string theory is derived. |
1812.05822 | Jan Troost | Sujay K. Ashok and Jan Troost | A Duality in Two-Dimensional Gravity | 29 pages | null | 10.1007/JHEP05(2019)111 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We demonstrate an equivalence between two integrable flows defined in a
polynomial ring quotiented by an ideal generated by a polynomial. This duality
of integrable systems allows us to systematically exploit the Korteweg-de Vries
hierarchy and its tau-function to propose amplitudes for non-compact
topological gravity on Riemann surfaces of arbitrary genus. We thus quantise
topological gravity coupled to non-compact topological matter and demonstrate
that this phase of topological gravity at N=2 matter central charge larger than
three is equivalent to the phase with matter of central charge smaller than
three.
| [
{
"created": "Fri, 14 Dec 2018 08:27:29 GMT",
"version": "v1"
}
] | 2019-06-26 | [
[
"Ashok",
"Sujay K.",
""
],
[
"Troost",
"Jan",
""
]
] | We demonstrate an equivalence between two integrable flows defined in a polynomial ring quotiented by an ideal generated by a polynomial. This duality of integrable systems allows us to systematically exploit the Korteweg-de Vries hierarchy and its tau-function to propose amplitudes for non-compact topological gravity on Riemann surfaces of arbitrary genus. We thus quantise topological gravity coupled to non-compact topological matter and demonstrate that this phase of topological gravity at N=2 matter central charge larger than three is equivalent to the phase with matter of central charge smaller than three. |
1005.3348 | Tatsuma Nishioka | Sumit R. Das, Tatsuma Nishioka and Tadashi Takayanagi | Probe Branes, Time-dependent Couplings and Thermalization in AdS/CFT | LaTeX, 47 pages, 14 figures; Typos corrected and references added
(v2); minor corrections, references added(v3) | JHEP 1007:071,2010 | 10.1007/JHEP07(2010)071 | UK/10-02,UT-10/09,IPMU10-0083 | hep-th cond-mat.stat-mech cond-mat.str-el gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present holographic descriptions of thermalization in conformal field
theories using probe D-branes in AdS X S space-times. We find that the induced
metrics on Dp-brane worldvolumes which are rotating in an internal sphere
direction have horizons with characteristic Hawking temperatures even if there
is no black hole in the bulk AdS. The AdS/CFT correspondence applied to such
systems indeed reveals thermal properties such as Brownian motions and AC
conductivities in the dual conformal field theories. We also use this framework
to holographically analyze time-dependent systems undergoing a quantum quench,
where parameters in quantum field theories, such as a mass or a coupling
constant, are suddenly changed. We confirm that this leads to thermal behavior
by demonstrating the formation of apparent horizons in the induced metric after
a certain time.
| [
{
"created": "Wed, 19 May 2010 01:36:07 GMT",
"version": "v1"
},
{
"created": "Fri, 28 May 2010 07:58:46 GMT",
"version": "v2"
},
{
"created": "Wed, 30 Jun 2010 04:57:40 GMT",
"version": "v3"
}
] | 2015-03-17 | [
[
"Das",
"Sumit R.",
""
],
[
"Nishioka",
"Tatsuma",
""
],
[
"Takayanagi",
"Tadashi",
""
]
] | We present holographic descriptions of thermalization in conformal field theories using probe D-branes in AdS X S space-times. We find that the induced metrics on Dp-brane worldvolumes which are rotating in an internal sphere direction have horizons with characteristic Hawking temperatures even if there is no black hole in the bulk AdS. The AdS/CFT correspondence applied to such systems indeed reveals thermal properties such as Brownian motions and AC conductivities in the dual conformal field theories. We also use this framework to holographically analyze time-dependent systems undergoing a quantum quench, where parameters in quantum field theories, such as a mass or a coupling constant, are suddenly changed. We confirm that this leads to thermal behavior by demonstrating the formation of apparent horizons in the induced metric after a certain time. |
hep-th/9508058 | Donam Youm | Mirjam Cveti\v{c} and Donam Youm | BPS Saturated and Non-Extreme States in Abelian Kaluza-Klein Theory and
Effective N=4 Supersymmetric String Vacua | 18 pages, uses RevTex, contribution to the Proceedings of String'95
conference | null | null | UPR-675-T, NSF-ITP-95-74 | hep-th gr-qc | null | We summarize results for all four-dimensional Bogomol'nyi-Sommerfield-Prasat
(BPS) saturated and non-extreme solutions of the ($4+n$)-dimensional Abelian
Kaluza-Klein theory. Within effective N=4 supersymmetric string vacua,
parameterized in terms of fields of the heterotic string on a six-torus, we
then present a class of BPS saturated states and the corresponding non-extreme
solutions, specified by $O(6,22,Z)$ and $SL(2,Z)$ orbits of general dyonic
charge configurations with zero axion. The BPS saturated states with
non-negative $O(6,22,Z)$ norms for electric and magnetic charge vectors, along
with the corresponding set of non-extreme solutions, are regular with non-zero
masses. BPS saturated states with the negative charge norms are singular,
unaccompanied by non-extreme solutions and become massless at particular points
of the moduli space. The role that such massless states may play in the
enhancement of non-Abelian gauge symmetry as well as local supersymmetry is
addressed.
| [
{
"created": "Mon, 14 Aug 1995 01:24:25 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Cvetič",
"Mirjam",
""
],
[
"Youm",
"Donam",
""
]
] | We summarize results for all four-dimensional Bogomol'nyi-Sommerfield-Prasat (BPS) saturated and non-extreme solutions of the ($4+n$)-dimensional Abelian Kaluza-Klein theory. Within effective N=4 supersymmetric string vacua, parameterized in terms of fields of the heterotic string on a six-torus, we then present a class of BPS saturated states and the corresponding non-extreme solutions, specified by $O(6,22,Z)$ and $SL(2,Z)$ orbits of general dyonic charge configurations with zero axion. The BPS saturated states with non-negative $O(6,22,Z)$ norms for electric and magnetic charge vectors, along with the corresponding set of non-extreme solutions, are regular with non-zero masses. BPS saturated states with the negative charge norms are singular, unaccompanied by non-extreme solutions and become massless at particular points of the moduli space. The role that such massless states may play in the enhancement of non-Abelian gauge symmetry as well as local supersymmetry is addressed. |
hep-th/0003082 | Hwang Dae-Sung | Stanley J. Brodsky, Dae Sung Hwang, Bo-Qiang Ma, and Ivan Schmidt | Light-Cone Representation of the Spin and Orbital Angular Momentum of
Relativistic Composite Systems | Version to be published in Nuclear Physics B. Includes illustrations
of graviton-lepton form factors at one loop in QED | Nucl.Phys.B593:311-335,2001 | 10.1016/S0550-3213(00)00626-X | SLAC-PUB-8392, USM-TH-90 | hep-th hep-ph nucl-th | null | The matrix elements of local operators such as the electromagnetic current,
the energy momentum tensor, angular momentum, and the moments of structure
functions have exact representations in terms of light-cone Fock state
wavefunctions of bound states such as hadrons. We illustrate all of these
properties by giving explicit light-cone wavefunctions for the two-particle
Fock state of the electron in QED, thus connecting the Schwinger anomalous
magnetic moment to the spin and orbital momentum carried by its Fock state
constituents. We also compute the QED one-loop radiative corrections for the
form factors for the graviton coupling to the electron and photon. Although the
underlying model is derived from elementary QED perturbative couplings, it in
fact can be used to simulate much more general bound state systems by applying
spectral integration over the constituent masses while preserving all of the
Lorentz properties, giving explicit realization of the spin sum rules and other
local matrix elements. The role of orbital angular momentum in understanding
the "spin crisis" problem for relativistic systems is clarified. We also prove
that the anomalous gravitomagnetic moment B(0) vanishes for any composite
system. This property is shown to follow directly from the Lorentz boost
properties of the light-cone Fock representation and holds separately for each
Fock state component. We show how the QED perturbative structure can be used to
model bound state systems while preserving all Lorentz properties. We thus
obtain a theoretical laboratory to test the consistency of formulae which have
been proposed to probe the spin structure of hadrons.
| [
{
"created": "Fri, 10 Mar 2000 18:10:10 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Mar 2000 17:02:49 GMT",
"version": "v2"
},
{
"created": "Wed, 18 Oct 2000 08:16:04 GMT",
"version": "v3"
}
] | 2009-09-11 | [
[
"Brodsky",
"Stanley J.",
""
],
[
"Hwang",
"Dae Sung",
""
],
[
"Ma",
"Bo-Qiang",
""
],
[
"Schmidt",
"Ivan",
""
]
] | The matrix elements of local operators such as the electromagnetic current, the energy momentum tensor, angular momentum, and the moments of structure functions have exact representations in terms of light-cone Fock state wavefunctions of bound states such as hadrons. We illustrate all of these properties by giving explicit light-cone wavefunctions for the two-particle Fock state of the electron in QED, thus connecting the Schwinger anomalous magnetic moment to the spin and orbital momentum carried by its Fock state constituents. We also compute the QED one-loop radiative corrections for the form factors for the graviton coupling to the electron and photon. Although the underlying model is derived from elementary QED perturbative couplings, it in fact can be used to simulate much more general bound state systems by applying spectral integration over the constituent masses while preserving all of the Lorentz properties, giving explicit realization of the spin sum rules and other local matrix elements. The role of orbital angular momentum in understanding the "spin crisis" problem for relativistic systems is clarified. We also prove that the anomalous gravitomagnetic moment B(0) vanishes for any composite system. This property is shown to follow directly from the Lorentz boost properties of the light-cone Fock representation and holds separately for each Fock state component. We show how the QED perturbative structure can be used to model bound state systems while preserving all Lorentz properties. We thus obtain a theoretical laboratory to test the consistency of formulae which have been proposed to probe the spin structure of hadrons. |
1507.02254 | Johannes Broedel | Johannes Broedel, Nils Matthes, Oliver Schlotterer | Relations between elliptic multiple zeta values and a special derivation
algebra | 43 pages, v2:replaced with published version | J.Phys. A49 (2016) 155203 | 10.1088/1751-8113/49/15/155203 | MITP/15-048 | hep-th math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate relations between elliptic multiple zeta values and describe a
method to derive the number of indecomposable elements of given weight and
length. Our method is based on representing elliptic multiple zeta values as
iterated integrals over Eisenstein series and exploiting the connection with a
special derivation algebra. Its commutator relations give rise to constraints
on the iterated integrals over Eisenstein series relevant for elliptic multiple
zeta values and thereby allow to count the indecomposable representatives.
Conversely, the above connection suggests apparently new relations in the
derivation algebra. Under https://tools.aei.mpg.de/emzv we provide relations
for elliptic multiple zeta values over a wide range of weights and lengths.
| [
{
"created": "Wed, 8 Jul 2015 18:55:16 GMT",
"version": "v1"
},
{
"created": "Sat, 23 Apr 2016 12:14:01 GMT",
"version": "v2"
}
] | 2016-04-26 | [
[
"Broedel",
"Johannes",
""
],
[
"Matthes",
"Nils",
""
],
[
"Schlotterer",
"Oliver",
""
]
] | We investigate relations between elliptic multiple zeta values and describe a method to derive the number of indecomposable elements of given weight and length. Our method is based on representing elliptic multiple zeta values as iterated integrals over Eisenstein series and exploiting the connection with a special derivation algebra. Its commutator relations give rise to constraints on the iterated integrals over Eisenstein series relevant for elliptic multiple zeta values and thereby allow to count the indecomposable representatives. Conversely, the above connection suggests apparently new relations in the derivation algebra. Under https://tools.aei.mpg.de/emzv we provide relations for elliptic multiple zeta values over a wide range of weights and lengths. |
hep-th/0106090 | Gunter Scharf | Florin Constantinescu, Gunter Scharf | Causal Approach to Supersymmetry: Chiral Superfields | 14 pages, Latex 2e | null | null | ZU-TH-20/01 | hep-th | null | We construct quantized free superfields and represent them as operator-valued
distributions in Fock space starting with Majorana fields. The perturbative
construction of the S-matrix for interacting theories is carried through by
extending the causal method of Epstein and Glaser to superspace. We propose a
scaling and singular order of distributions in superspace by a procedure which
scales both commutative and non-commutative variables. Using this singular
order the chiral (Wess-Zumino) model appears to be super-renormalizable.
| [
{
"created": "Tue, 12 Jun 2001 13:01:27 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Constantinescu",
"Florin",
""
],
[
"Scharf",
"Gunter",
""
]
] | We construct quantized free superfields and represent them as operator-valued distributions in Fock space starting with Majorana fields. The perturbative construction of the S-matrix for interacting theories is carried through by extending the causal method of Epstein and Glaser to superspace. We propose a scaling and singular order of distributions in superspace by a procedure which scales both commutative and non-commutative variables. Using this singular order the chiral (Wess-Zumino) model appears to be super-renormalizable. |
0710.3126 | Akira Kokado | Akira Kokado, Gaku Konisi and Takesi Saito | Spectrum-Generating Algebra for Charged Superstrings in Background Gauge
Fields | 17 pages, No figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The spectrum-generating algebra (SGA) for charged superstrings placed in
constant background magnetic fields is constructed. Contrary to the neutral
string this algebra is characteristic of including the cyclotron frequency. The
Regge intercept and superconformal anomalies are calculated to be shifted by
the cyclotron frequency and D-brane parameters from the conventional values.
| [
{
"created": "Tue, 16 Oct 2007 16:58:31 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Oct 2007 03:42:30 GMT",
"version": "v2"
},
{
"created": "Fri, 6 Jun 2008 10:04:26 GMT",
"version": "v3"
}
] | 2008-06-06 | [
[
"Kokado",
"Akira",
""
],
[
"Konisi",
"Gaku",
""
],
[
"Saito",
"Takesi",
""
]
] | The spectrum-generating algebra (SGA) for charged superstrings placed in constant background magnetic fields is constructed. Contrary to the neutral string this algebra is characteristic of including the cyclotron frequency. The Regge intercept and superconformal anomalies are calculated to be shifted by the cyclotron frequency and D-brane parameters from the conventional values. |
1711.03125 | Ying Zhao | Ying Zhao | Uncomplexity and Black Hole Geometry | 19 pages, 17 figures | Phys. Rev. D 97, 126007 (2018) | 10.1103/PhysRevD.97.126007 | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give a definition of uncomplexity of a mixed state without invoking any
particular definitions of mixed state complexity, and argue that it gives the
amount of computational power Bob has when he only has access to part of a
system. We find geometric meanings of our definition in various black hole
examples, and make a connection with subregion duality. We show that Bob's
uncomplexity is the portion of his accessible interior spacetime inside his
entanglement wedge. This solves a puzzle we encountered about the uncomplexity
of thermofield double state. In this process, we identify different kinds of
operations Bob can do as being responsible for the growth of different parts of
spacetime.
| [
{
"created": "Wed, 8 Nov 2017 19:16:54 GMT",
"version": "v1"
}
] | 2018-06-19 | [
[
"Zhao",
"Ying",
""
]
] | We give a definition of uncomplexity of a mixed state without invoking any particular definitions of mixed state complexity, and argue that it gives the amount of computational power Bob has when he only has access to part of a system. We find geometric meanings of our definition in various black hole examples, and make a connection with subregion duality. We show that Bob's uncomplexity is the portion of his accessible interior spacetime inside his entanglement wedge. This solves a puzzle we encountered about the uncomplexity of thermofield double state. In this process, we identify different kinds of operations Bob can do as being responsible for the growth of different parts of spacetime. |
hep-th/0602009 | Subir Ghosh | Subir Ghosh (Indian Statistical Institute) | DSR Relativistic Particle in a Lagrangian formulation and
Non-Commutative Spacetime: A Gauge Independent Analysis | 9 pages, LaTex, Title and abstract changed, Thoroughly revised
version, No major change in conclusions, Title modified, sign typos in eq.s
corrected, to appear in PLB | null | 10.1016/j.physletb.2007.03.016 | null | hep-th | null | In this paper we have constructed a coordinate space (or geometric)
Lagrangian for a point particle that satisfies the Doubly Special Relativity
(DSR) dispersion relation in the Magueijo-Smolin framework. At the same time,
the symplectic structure induces a Non-Commutative phase space, which
interpolates between $\kappa $-Minkowski and Snyder phase space. Hence this
model bridges an existing gap between two conceptually distinct ideas in a
natural way.
We thoroughly discuss how this type of construction can be carried out from a
phase space (or first order) Lagrangian approach. The inclusion of external
physical interactions are also briefly outlined.
The work serves as a demonstration of how Hamiltonian (and Lagrangian)
dynamics can be built around a given non-trivial symplectic structure.
| [
{
"created": "Wed, 1 Feb 2006 09:26:34 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Feb 2006 12:14:27 GMT",
"version": "v2"
},
{
"created": "Mon, 10 Apr 2006 05:15:16 GMT",
"version": "v3"
},
{
"created": "Fri, 12 May 2006 05:46:47 GMT",
"version": "v4"
},
{
"created": "Tue, 4 Jul 2006 17:15:45 GMT",
"version": "v5"
},
{
"created": "Mon, 12 Mar 2007 05:09:10 GMT",
"version": "v6"
}
] | 2015-06-26 | [
[
"Ghosh",
"Subir",
"",
"Indian Statistical Institute"
]
] | In this paper we have constructed a coordinate space (or geometric) Lagrangian for a point particle that satisfies the Doubly Special Relativity (DSR) dispersion relation in the Magueijo-Smolin framework. At the same time, the symplectic structure induces a Non-Commutative phase space, which interpolates between $\kappa $-Minkowski and Snyder phase space. Hence this model bridges an existing gap between two conceptually distinct ideas in a natural way. We thoroughly discuss how this type of construction can be carried out from a phase space (or first order) Lagrangian approach. The inclusion of external physical interactions are also briefly outlined. The work serves as a demonstration of how Hamiltonian (and Lagrangian) dynamics can be built around a given non-trivial symplectic structure. |
1006.3005 | George Savvidy K | George Savvidy | Extension of the Poincar\'e Group and Non-Abelian Tensor Gauge Fields | 21 pages | Int.J.Mod.Phys.A25:5765-5785,2010 | 10.1142/S0217751X10051050 | NRCPS-HE-10-17 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the recently proposed generalization of the Yang-Mills theory the group of
gauge transformation gets essentially enlarged. This enlargement involves an
elegant mixture of the internal and space-time symmetries. The resulting group
is an extension of the Poincar\'e group with infinitely many generators which
carry internal and space-time indices. This is similar to the super-symmetric
extension of the Poincar\'e group, where instead of an anti-commuting spinor
variable one should introduce a new vector variable. The construction of
irreducible representations of the extended Poincar\'e algebra identifies a
vector variable with the derivative of the Pauli-Lubanski vector over its
length. As a result of this identification the generators of the gauge group
have nonzero components only in the plane transversal to the momentum and are
projecting out non-Abelian tensor gauge fields into the transversal plane,
keeping only their positively definite space-like components.
| [
{
"created": "Tue, 15 Jun 2010 14:47:06 GMT",
"version": "v1"
}
] | 2011-01-04 | [
[
"Savvidy",
"George",
""
]
] | In the recently proposed generalization of the Yang-Mills theory the group of gauge transformation gets essentially enlarged. This enlargement involves an elegant mixture of the internal and space-time symmetries. The resulting group is an extension of the Poincar\'e group with infinitely many generators which carry internal and space-time indices. This is similar to the super-symmetric extension of the Poincar\'e group, where instead of an anti-commuting spinor variable one should introduce a new vector variable. The construction of irreducible representations of the extended Poincar\'e algebra identifies a vector variable with the derivative of the Pauli-Lubanski vector over its length. As a result of this identification the generators of the gauge group have nonzero components only in the plane transversal to the momentum and are projecting out non-Abelian tensor gauge fields into the transversal plane, keeping only their positively definite space-like components. |
hep-th/0205116 | Jan Martin Pawlowski | Chris Ford, Jan M. Pawlowski | Constituents of Doubly Periodic Instantons | 11 pages, 4 figures, reference added, typos corrected | Phys.Lett. B540 (2002) 153-158 | 10.1016/S0370-2693(02)02130-5 | INLO-PUB-03/02, FAU-TP3-02-18 | hep-th hep-lat | null | Using the Nahm transform we investigate doubly periodic charge one SU(2)
instantons with radial symmetry. Two special points where the Nahm zero modes
have softer singularities are identified as constituent locations. To support
this picture, the action density is computed analytically and numerically
within a two dimensional slice containing the two constituents. For particular
values of the parameters the torus can be cut in half yielding two copies of a
twisted charge 1/2 instanton. Such objects comprise a single constituent.
| [
{
"created": "Mon, 13 May 2002 16:22:45 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Jul 2002 08:49:14 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Ford",
"Chris",
""
],
[
"Pawlowski",
"Jan M.",
""
]
] | Using the Nahm transform we investigate doubly periodic charge one SU(2) instantons with radial symmetry. Two special points where the Nahm zero modes have softer singularities are identified as constituent locations. To support this picture, the action density is computed analytically and numerically within a two dimensional slice containing the two constituents. For particular values of the parameters the torus can be cut in half yielding two copies of a twisted charge 1/2 instanton. Such objects comprise a single constituent. |
hep-th/0001111 | Seiji Terashima | Seiji Terashima | On the Equivalence between Noncommutative and Ordinary Gauge Theories | 18 pages, LaTeX, no figures. minor corrections, references added,
note added is changed, version to appear in JHEP | JHEP 0002 (2000) 029 | 10.1088/1126-6708/2000/02/029 | UT-871 | hep-th | null | Recently Seiberg and Witten have proposed that noncommutative gauge theories
realized as effective theories on D-brane are equivalent to some ordinary gauge
theories. This proposal has been proved, however, only for the
Dirac-Born-Infeld action in the approximation of neglecting all derivative
terms. In this paper we explicitly construct general forms of the 2n-derivative
terms which satisfy this equivalence under their assumption in the
approximation of neglecting (2 n+2)-derivative terms. We also prove that the
D-brane action computed in the superstring theory is consistent with the
equivalence neglecting the fourth and higher order derivative terms.
| [
{
"created": "Tue, 18 Jan 2000 20:55:34 GMT",
"version": "v1"
},
{
"created": "Sun, 30 Jan 2000 17:19:38 GMT",
"version": "v2"
},
{
"created": "Wed, 29 Mar 2000 09:43:20 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Terashima",
"Seiji",
""
]
] | Recently Seiberg and Witten have proposed that noncommutative gauge theories realized as effective theories on D-brane are equivalent to some ordinary gauge theories. This proposal has been proved, however, only for the Dirac-Born-Infeld action in the approximation of neglecting all derivative terms. In this paper we explicitly construct general forms of the 2n-derivative terms which satisfy this equivalence under their assumption in the approximation of neglecting (2 n+2)-derivative terms. We also prove that the D-brane action computed in the superstring theory is consistent with the equivalence neglecting the fourth and higher order derivative terms. |
2206.10081 | Huiquan Li | Huiquan Li and Jiancheng Wang | Black hole entropy from tachyon condensation | 12 pages | null | null | USTC-ICTS/PCFT-22-20 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show generically that the dynamics of a probe particle near the event
horizon of a non-extreme black hole is described by the tachyon effective
action. The Hagedorn temperature in the action is always equal to the Hawking
temperature of the background black hole. The fact suggests that the infalling
particle should decay completely into gravitons or closed strings approaching
the event horizon. The increased area in the black hole due to absorption of a
particle should be interpreted as the entropy of degenerate states of the
closed strings that the particle decays into. With the energy match condition
between the infalling particle and the emitted closed strings on the event
horizon, we examine this variational area-entropy relation and find that it
matches in all cases if the closed string emission process from an unstable
D0-brane obeys the first law.
| [
{
"created": "Tue, 21 Jun 2022 02:27:25 GMT",
"version": "v1"
}
] | 2022-06-22 | [
[
"Li",
"Huiquan",
""
],
[
"Wang",
"Jiancheng",
""
]
] | We show generically that the dynamics of a probe particle near the event horizon of a non-extreme black hole is described by the tachyon effective action. The Hagedorn temperature in the action is always equal to the Hawking temperature of the background black hole. The fact suggests that the infalling particle should decay completely into gravitons or closed strings approaching the event horizon. The increased area in the black hole due to absorption of a particle should be interpreted as the entropy of degenerate states of the closed strings that the particle decays into. With the energy match condition between the infalling particle and the emitted closed strings on the event horizon, we examine this variational area-entropy relation and find that it matches in all cases if the closed string emission process from an unstable D0-brane obeys the first law. |
hep-th/0602281 | Harvey B. Meyer | Harvey B. Meyer | Poincare invariance in effective string theories | 14 pages, 1 figure; two paragraphs and a few references added | JHEP0605:066,2006 | 10.1088/1126-6708/2006/05/066 | DESY 06-005 | hep-th hep-lat | null | We investigate the dispersion relation of the winding closed-string states in
SU(N) gauge theory defined on a d-dimensional hypertorus, in a class of
effective string theories. We show that order by order in the asymptotic
expansion, each energy eigenstate satisfies a relativistic dispersion relation.
This is illustrated in the Luscher-Weisz effective string theory to two-loop
order, where the Polyakov loop matrix elements between the vacuum and the
closed string states are obtained explicitly. We attempt a generalization of
these considerations to the case of compact dimensions transverse to the
string.
| [
{
"created": "Mon, 27 Feb 2006 16:53:34 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Jul 2006 15:18:15 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Meyer",
"Harvey B.",
""
]
] | We investigate the dispersion relation of the winding closed-string states in SU(N) gauge theory defined on a d-dimensional hypertorus, in a class of effective string theories. We show that order by order in the asymptotic expansion, each energy eigenstate satisfies a relativistic dispersion relation. This is illustrated in the Luscher-Weisz effective string theory to two-loop order, where the Polyakov loop matrix elements between the vacuum and the closed string states are obtained explicitly. We attempt a generalization of these considerations to the case of compact dimensions transverse to the string. |
2401.16143 | Luis B Castro | Andr\'es G. Jir\'on, Angel E. Obispo, J. Daniel Espinoza Loayza, Juan
Carlos Quispe, Luis B. Castro | Effect of a critical magnetic field on the control of scalar neutral
boson pair production in the context of Lorentz-symmetry violation | 07 pages, 06 figures | EPL 145 (2024) 4, 40002 | 10.1209/0295-5075/ad2946 | null | hep-th hep-ph quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This study investigates the production of neutral scalar boson pairs in
static electromagnetic fields resulting from Lorentz-symmetry violation (LSV),
with a focus on the parity-even sector of the CPT-even photon sector in the
Standard Model Extension (SME). Utilizing a cross-configuration involving
inhomogeneous static electric fields and homogeneous static magnetic fields,
the analysis of the probability of bosons pair production identifies three
different regimes determined by critical magnetic field. Below the critical
value, creation is exponentially suppressed; at the critical value, the number
density of created bosons remains constant, and above the critical field, there
is exponential amplification. This behavior prompts an additional investigation
using von Neumann entanglement entropy to analyze fluctuations in the bosonic
vacuum.
| [
{
"created": "Mon, 29 Jan 2024 13:21:15 GMT",
"version": "v1"
}
] | 2024-03-19 | [
[
"Jirón",
"Andrés G.",
""
],
[
"Obispo",
"Angel E.",
""
],
[
"Loayza",
"J. Daniel Espinoza",
""
],
[
"Quispe",
"Juan Carlos",
""
],
[
"Castro",
"Luis B.",
""
]
] | This study investigates the production of neutral scalar boson pairs in static electromagnetic fields resulting from Lorentz-symmetry violation (LSV), with a focus on the parity-even sector of the CPT-even photon sector in the Standard Model Extension (SME). Utilizing a cross-configuration involving inhomogeneous static electric fields and homogeneous static magnetic fields, the analysis of the probability of bosons pair production identifies three different regimes determined by critical magnetic field. Below the critical value, creation is exponentially suppressed; at the critical value, the number density of created bosons remains constant, and above the critical field, there is exponential amplification. This behavior prompts an additional investigation using von Neumann entanglement entropy to analyze fluctuations in the bosonic vacuum. |
0708.1285 | Sanefumi Moriyama | Takuya Matsumoto, Sanefumi Moriyama, Alessandro Torrielli | A Secret Symmetry of the AdS/CFT S-matrix | 12 pages, no figures, v2: reference added, version to appear in JHEP | JHEP 0709:099,2007 | 10.1088/1126-6708/2007/09/099 | MIT-CTP-3853 | hep-th | null | We find a new quantum Yangian symmetry of the AdS/CFT S-matrix, which
complements the original su(2|2) symmetry to gl(2|2) and does not have a Lie
algebra analog. Our finding is motivated by the Yangian double structure
discovered at the classical level.
| [
{
"created": "Thu, 9 Aug 2007 17:49:25 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Sep 2007 15:34:38 GMT",
"version": "v2"
}
] | 2009-06-11 | [
[
"Matsumoto",
"Takuya",
""
],
[
"Moriyama",
"Sanefumi",
""
],
[
"Torrielli",
"Alessandro",
""
]
] | We find a new quantum Yangian symmetry of the AdS/CFT S-matrix, which complements the original su(2|2) symmetry to gl(2|2) and does not have a Lie algebra analog. Our finding is motivated by the Yangian double structure discovered at the classical level. |
2204.04470 | Yun Zhi Du | Yang Zhang, Yu-Bo Ma, Yun-Zhi Du, Huai-Fan Li, Li-Chun Zhang | Thermodynamics of the Reissner-Nordstr\"om-de Sitter Spacetime with
Quintessence | null | Eur. Phys. J. C 2022 | 10.1140/epjc/s10052-022-10729-8 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | For Anti-de Sitte (AdS) black holes, the isochoric heat capacity of system is
vanished, while the isobaric heat capacity is not. However, this situation does
not hold on for de Sitter (dS) black holes. In this work, by introducing the
interaction between the black hole horizon and the cosmological horizon of the
Reissner-Nordstr\"om-de Sitter (RNdS) spacetime with quintessence, we discuss
the phase transition of this system. The results show that the spacetime not
only has the similar phase transition behavior to that of Van der Waals (VdW)
system, and the non-vanishing isochoric heat capacity fulfills the whole
thermodynamics system. Through the discussion of the entropic force between two
horizons, we find out the role of entropic force in the evolution of spacetime.
In addition, we also study the influence of various parameters on the phase
transition and entropic force, which will provide a new method for exploring
the interaction among black hole molecules from a micro perspective.
| [
{
"created": "Sat, 9 Apr 2022 13:19:09 GMT",
"version": "v1"
}
] | 2022-09-13 | [
[
"Zhang",
"Yang",
""
],
[
"Ma",
"Yu-Bo",
""
],
[
"Du",
"Yun-Zhi",
""
],
[
"Li",
"Huai-Fan",
""
],
[
"Zhang",
"Li-Chun",
""
]
] | For Anti-de Sitte (AdS) black holes, the isochoric heat capacity of system is vanished, while the isobaric heat capacity is not. However, this situation does not hold on for de Sitter (dS) black holes. In this work, by introducing the interaction between the black hole horizon and the cosmological horizon of the Reissner-Nordstr\"om-de Sitter (RNdS) spacetime with quintessence, we discuss the phase transition of this system. The results show that the spacetime not only has the similar phase transition behavior to that of Van der Waals (VdW) system, and the non-vanishing isochoric heat capacity fulfills the whole thermodynamics system. Through the discussion of the entropic force between two horizons, we find out the role of entropic force in the evolution of spacetime. In addition, we also study the influence of various parameters on the phase transition and entropic force, which will provide a new method for exploring the interaction among black hole molecules from a micro perspective. |
hep-th/9909142 | DaeKil Park | J. -Q. Liang, H. J. W. M\"uller-Kirsten, Y. -B. Zhang, A. V. Shurgaia,
S. -P. Kou, D. K. Park | Periodic Bounce for Nucleation Rate at Finite Temperature in
Minisuperspace Models | 17 pages, 5 postscript figures included | Phys.Rev. D62 (2000) 025017 | 10.1103/PhysRevD.62.025017 | null | hep-th | null | The periodic bounce configurations responsible for quantum tunneling are
obtained explicitly and are extended to the finite energy case for
minisuperspace models of the Universe. As a common feature of the tunneling
models at finite energy considered here we observe that the period of the
bounce increases with energy monotonically. The periodic bounces do not have
bifurcations and make no contribution to the nucleation rate except the one
with zero energy. The sharp first order phase transition from quantum tunneling
to thermal activation is verified with the general criterions.
| [
{
"created": "Tue, 21 Sep 1999 00:46:41 GMT",
"version": "v1"
}
] | 2016-08-15 | [
[
"Liang",
"J. -Q.",
""
],
[
"Müller-Kirsten",
"H. J. W.",
""
],
[
"Zhang",
"Y. -B.",
""
],
[
"Shurgaia",
"A. V.",
""
],
[
"Kou",
"S. -P.",
""
],
[
"Park",
"D. K.",
""
]
] | The periodic bounce configurations responsible for quantum tunneling are obtained explicitly and are extended to the finite energy case for minisuperspace models of the Universe. As a common feature of the tunneling models at finite energy considered here we observe that the period of the bounce increases with energy monotonically. The periodic bounces do not have bifurcations and make no contribution to the nucleation rate except the one with zero energy. The sharp first order phase transition from quantum tunneling to thermal activation is verified with the general criterions. |
hep-th/0108213 | Pierre Mathieu | L. B\'egin, C. Cummins, L. Lapointe and P. Mathieu | Fusion bases as facets of polytopes | Harvmac, 31 pages; typos corrected, symmetry analysis made more
precise, conclusion expanded, and references added | J.Math.Phys.43:4180-4201,2002 | 10.1063/1.1489070 | null | hep-th math-ph math.MP math.QA | null | A new way of constructing fusion bases (i.e., the set of inequalities
governing fusion rules) out of fusion elementary couplings is presented. It
relies on a polytope reinterpretation of the problem: the elementary couplings
are associated to the vertices of the polytope while the inequalities defining
the fusion basis are the facets. The symmetry group of the polytope associated
to the lowest rank affine Lie algebras is found; it has order 24 for $\su(2)$,
432 for $\su(3)$ and quite surprisingly, it reduces to 36 for $\su(4)$, while
it is only of order 4 for $\sp(4)$. This drastic reduction in the order of the
symmetry group as the algebra gets more complicated is rooted in the presence
of many linear relations between the elementary couplings that break most of
the potential symmetries. For $\su(2)$ and $\su(3)$, it is shown that the
fusion-basis defining inequalities can be generated from few (1 and 2
respectively) elementary ones. For $\su(3)$, new symmetries of the fusion
coefficients are found.
| [
{
"created": "Tue, 28 Aug 2001 18:09:47 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Feb 2002 21:44:22 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Bégin",
"L.",
""
],
[
"Cummins",
"C.",
""
],
[
"Lapointe",
"L.",
""
],
[
"Mathieu",
"P.",
""
]
] | A new way of constructing fusion bases (i.e., the set of inequalities governing fusion rules) out of fusion elementary couplings is presented. It relies on a polytope reinterpretation of the problem: the elementary couplings are associated to the vertices of the polytope while the inequalities defining the fusion basis are the facets. The symmetry group of the polytope associated to the lowest rank affine Lie algebras is found; it has order 24 for $\su(2)$, 432 for $\su(3)$ and quite surprisingly, it reduces to 36 for $\su(4)$, while it is only of order 4 for $\sp(4)$. This drastic reduction in the order of the symmetry group as the algebra gets more complicated is rooted in the presence of many linear relations between the elementary couplings that break most of the potential symmetries. For $\su(2)$ and $\su(3)$, it is shown that the fusion-basis defining inequalities can be generated from few (1 and 2 respectively) elementary ones. For $\su(3)$, new symmetries of the fusion coefficients are found. |
hep-th/0005125 | Toru Shinohara | K.-I. Kondo and T. Shinohara (Chiba Univ.) | Renormalizable Abelian-projected effective gauge theory derived from
Quantum Chromodynamics | 17 pages, 3 figures(16 eps-files) | Prog.Theor.Phys. 105 (2001) 649-665 | 10.1143/PTP.105.649 | CHIBA-EP-121 | hep-th hep-lat hep-ph | null | We show that an effective Abelian gauge theory can be obtained as a
renormalizable theory from QCD in the maximal Abelian gauge. The derivation
improves in a systematic manner the previous version that was obtained by one
of the authors and was referred to as the Abelian-projected effective gauge
theory. This result supports the view that we can construct an effective
Abelian gauge theory from QCD without losing characteristic features of the
original non-Abelian gauge theory. In fact, it is shown that the effective
coupling constant in the resulting renormalizable theory has a
renormalization-scale dependence governed by the $\beta$-function that is
exactly the same as that of the original Yang-Mills theory, irrespective of the
choice of gauge fixing parameters of the maximal Abelian gauge and the
parameters used for identifying the dual variables. Moreover, we evaluate the
anomalous dimensions of the fields and parameters in the resultant theory. By
choosing the renormalized parameters appropriately, we can switch the theory
into an electric or a magnetic theory.
| [
{
"created": "Sat, 13 May 2000 11:53:51 GMT",
"version": "v1"
},
{
"created": "Sat, 26 May 2001 07:18:56 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Kondo",
"K. -I.",
"",
"Chiba Univ."
],
[
"Shinohara",
"T.",
"",
"Chiba Univ."
]
] | We show that an effective Abelian gauge theory can be obtained as a renormalizable theory from QCD in the maximal Abelian gauge. The derivation improves in a systematic manner the previous version that was obtained by one of the authors and was referred to as the Abelian-projected effective gauge theory. This result supports the view that we can construct an effective Abelian gauge theory from QCD without losing characteristic features of the original non-Abelian gauge theory. In fact, it is shown that the effective coupling constant in the resulting renormalizable theory has a renormalization-scale dependence governed by the $\beta$-function that is exactly the same as that of the original Yang-Mills theory, irrespective of the choice of gauge fixing parameters of the maximal Abelian gauge and the parameters used for identifying the dual variables. Moreover, we evaluate the anomalous dimensions of the fields and parameters in the resultant theory. By choosing the renormalized parameters appropriately, we can switch the theory into an electric or a magnetic theory. |
1002.0052 | Alon Faraggi | Alon E. Faraggi | MSHSM - Minimal Standard Heterotic String Models | 4 pages. To appear in the proceedings of the Corfu Summer Institute
2009 | null | 10.1002/prop.201000012 | LTH-863 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An overview of old and new results in studies of the quasi-realistic free
fermionic models is presented, which include the recent discovery of exophobic
string vacua and reproduction of the Higgs-matter splitting mechanism in a
corresponding orbifold construction.
| [
{
"created": "Mon, 1 Feb 2010 15:55:47 GMT",
"version": "v1"
}
] | 2015-05-18 | [
[
"Faraggi",
"Alon E.",
""
]
] | An overview of old and new results in studies of the quasi-realistic free fermionic models is presented, which include the recent discovery of exophobic string vacua and reproduction of the Higgs-matter splitting mechanism in a corresponding orbifold construction. |
1504.03117 | Michael P. Fry | M. P. Fry | Non-perturbative quantization of the electroweak model's electrodynamic
sector | null | null | 10.1103/PhysRevD.91.085026 | null | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Consider the Euclidean functional integral representation of any physical
process in the electroweak model. Integrating out the fermion degrees of
freedom introduces twenty-four fermion determinants. These multiply the
Gaussian functional measures of the Maxwell, $Z$, $W$ and Higgs fields to give
an effective functional measure. Suppose the functional integral over the
Maxwell field is attempted first. This paper is concerned with the large
amplitude behavior of the Maxwell effective measure. It is assumed that the
large amplitude variation of this measure is insensitive to the presence of the
$Z$, $W$ and $H$ fields; they are assumed to be a subdominant perturbation of
the large amplitude Maxwell sector. Accordingly, we need only examine the large
amplitude variation of a single QED fermion determinant. To facilitate this the
Schwinger proper time representation of this determinant is decomposed into a
sum of three terms. The advantage of this is that the separate terms can be
non-perturbatively estimated for a measurable class of large amplitude random
fields in four dimensions. It is found that the QED fermion determinant grows
faster than $\exp \left[ce^2\int\mathrm d^4x\, F_{\mu\nu}^2\right]$, $c>0$, in
the absence of zero mode supporting random background potentials. This raises
doubt on whether the QED fermion determinant is integrable with any Gaussian
measure whose support does not include zero mode supporting potentials.
Including zero mode supporting background potentials can result in a decaying
exponential growth of the fermion determinant. This is \textit{prima facie}
evidence that Maxwellian zero modes are necessary for the non-perturbative
quantization of QED and, by implication, for the non-perturbative quantization
of the electroweak model.
| [
{
"created": "Mon, 13 Apr 2015 10:23:35 GMT",
"version": "v1"
}
] | 2015-05-20 | [
[
"Fry",
"M. P.",
""
]
] | Consider the Euclidean functional integral representation of any physical process in the electroweak model. Integrating out the fermion degrees of freedom introduces twenty-four fermion determinants. These multiply the Gaussian functional measures of the Maxwell, $Z$, $W$ and Higgs fields to give an effective functional measure. Suppose the functional integral over the Maxwell field is attempted first. This paper is concerned with the large amplitude behavior of the Maxwell effective measure. It is assumed that the large amplitude variation of this measure is insensitive to the presence of the $Z$, $W$ and $H$ fields; they are assumed to be a subdominant perturbation of the large amplitude Maxwell sector. Accordingly, we need only examine the large amplitude variation of a single QED fermion determinant. To facilitate this the Schwinger proper time representation of this determinant is decomposed into a sum of three terms. The advantage of this is that the separate terms can be non-perturbatively estimated for a measurable class of large amplitude random fields in four dimensions. It is found that the QED fermion determinant grows faster than $\exp \left[ce^2\int\mathrm d^4x\, F_{\mu\nu}^2\right]$, $c>0$, in the absence of zero mode supporting random background potentials. This raises doubt on whether the QED fermion determinant is integrable with any Gaussian measure whose support does not include zero mode supporting potentials. Including zero mode supporting background potentials can result in a decaying exponential growth of the fermion determinant. This is \textit{prima facie} evidence that Maxwellian zero modes are necessary for the non-perturbative quantization of QED and, by implication, for the non-perturbative quantization of the electroweak model. |
2303.02702 | Tanay Kumar Dey | Rishi Pokhrel and Tanay K. Dey | Charged AdS Black Holes in Presence of String Cloud and Cardy-Verlinde
Formula | 28 pages, 10 fig. Journal Version | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | In this study, charged AdS black holes with a string cloud are taken into
consideration. We identify three distinct black hole solutions within a
specific temperature range, which subsequently merge into a single black hole
beyond this range in the case of spherical space with low chemical potential
and string density. However, in the case of large chemical potential and string
density, only one black hole solution exists for all temperatures. Notably, we
observe that for flat and hyperbolic space, there is only one black hole
solution irrespective of the chemical potential and string density. By
subtracting the contribution of the extremal black hole from the on-shell
Euclidean action, the thermodynamical quantities associated with these black
holes are calculated. We also investigate the stability of these black holes
and find that medium-sized black hole is unstable. In the dual boundary theory
side we verify the existence of bound state of quark-antiquark pair. Finally,
we establish the Cardy-Verlinde formula for the boundary theory and we observed
an additional energy term arising because of the presence of string cloud.
| [
{
"created": "Sun, 5 Mar 2023 15:30:52 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Mar 2024 10:17:08 GMT",
"version": "v2"
}
] | 2024-03-18 | [
[
"Pokhrel",
"Rishi",
""
],
[
"Dey",
"Tanay K.",
""
]
] | In this study, charged AdS black holes with a string cloud are taken into consideration. We identify three distinct black hole solutions within a specific temperature range, which subsequently merge into a single black hole beyond this range in the case of spherical space with low chemical potential and string density. However, in the case of large chemical potential and string density, only one black hole solution exists for all temperatures. Notably, we observe that for flat and hyperbolic space, there is only one black hole solution irrespective of the chemical potential and string density. By subtracting the contribution of the extremal black hole from the on-shell Euclidean action, the thermodynamical quantities associated with these black holes are calculated. We also investigate the stability of these black holes and find that medium-sized black hole is unstable. In the dual boundary theory side we verify the existence of bound state of quark-antiquark pair. Finally, we establish the Cardy-Verlinde formula for the boundary theory and we observed an additional energy term arising because of the presence of string cloud. |
0704.1146 | Jared Kaplan | Clifford Cheung, Jared Kaplan | The Plasma Puddle as a Perturbative Black Hole | 23 pages, 3 figures, V2: minor changes, ref added, appendix A.5 moved
to body of paper | JHEP 0706:024,2007 | 10.1088/1126-6708/2007/06/024 | null | hep-th | null | We argue that the weak coupling regime of a large N gauge theory in the Higgs
phase contains black hole-like objects. These so-called ``plasma puddles'' are
meta-stable lumps of hot plasma lying in locally un-Higgsed regions of space.
They decay via O(1/N) thermal radiation and, perhaps surprisingly, absorb all
incident matter. We show that an incident particle of energy E striking the
plasma puddle will shower into an enormous number of decay products whose
multiplicity grows linearly with E, and whose average energy is independent of
E. Once these ultra-soft particles reach the interior they are thermalized by
the plasma within, and so the object appears ``black.'' We determine some gross
properties like the size and temperature of the the plasma puddle in terms of
fundamental parameters in the gauge theory. Interestingly, demanding that the
plasma puddle emit thermal Hawking radiation implies that the object is black
(i.e. absorbs all incident particles), which implies classical stability, which
implies satisfaction of the Bekenstein entropy bound. Because of the AdS/CFT
duality and the many similarities between plasma puddles and black holes, we
conjecture that black objects are a robust feature of quantum gravity.
| [
{
"created": "Mon, 9 Apr 2007 20:07:26 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Jun 2007 20:55:28 GMT",
"version": "v2"
}
] | 2010-10-27 | [
[
"Cheung",
"Clifford",
""
],
[
"Kaplan",
"Jared",
""
]
] | We argue that the weak coupling regime of a large N gauge theory in the Higgs phase contains black hole-like objects. These so-called ``plasma puddles'' are meta-stable lumps of hot plasma lying in locally un-Higgsed regions of space. They decay via O(1/N) thermal radiation and, perhaps surprisingly, absorb all incident matter. We show that an incident particle of energy E striking the plasma puddle will shower into an enormous number of decay products whose multiplicity grows linearly with E, and whose average energy is independent of E. Once these ultra-soft particles reach the interior they are thermalized by the plasma within, and so the object appears ``black.'' We determine some gross properties like the size and temperature of the the plasma puddle in terms of fundamental parameters in the gauge theory. Interestingly, demanding that the plasma puddle emit thermal Hawking radiation implies that the object is black (i.e. absorbs all incident particles), which implies classical stability, which implies satisfaction of the Bekenstein entropy bound. Because of the AdS/CFT duality and the many similarities between plasma puddles and black holes, we conjecture that black objects are a robust feature of quantum gravity. |
hep-th/9506152 | null | JM Figueroa-O'Farrill and S Stanciu | On the structure of symmetric self-dual Lie algebras | 19 pages, .dvi.uu (needs AMSFonts 2.1+) | J.Math.Phys. 37 (1996) 4121-4134 | 10.1063/1.531620 | QMW-PH-95-24 | hep-th | null | A finite-dimensional Lie algebra is called (symmetric) self-dual, if it
possesses an invariant nondegenerate (symmetric) bilinear form. Symmetric
self-dual Lie algebras have been studied by Medina and Revoy, who have proven a
very useful theorem about their structure. In this paper we prove a refinement
of their theorem which has wide applicability in Conformal Field Theory, where
symmetric self-dual Lie algebras start to play an important role due to the
fact that they are precisely the Lie algebras which admit a Sugawara
construction. We also prove a few corollaries which are important in Conformal
Field Theory. (This paper provides mathematical details of results used, but
only sketched, in the companion paper hep-th/9506151.)
| [
{
"created": "Thu, 22 Jun 1995 16:46:54 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Jun 1995 09:18:37 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Figueroa-O'Farrill",
"JM",
""
],
[
"Stanciu",
"S",
""
]
] | A finite-dimensional Lie algebra is called (symmetric) self-dual, if it possesses an invariant nondegenerate (symmetric) bilinear form. Symmetric self-dual Lie algebras have been studied by Medina and Revoy, who have proven a very useful theorem about their structure. In this paper we prove a refinement of their theorem which has wide applicability in Conformal Field Theory, where symmetric self-dual Lie algebras start to play an important role due to the fact that they are precisely the Lie algebras which admit a Sugawara construction. We also prove a few corollaries which are important in Conformal Field Theory. (This paper provides mathematical details of results used, but only sketched, in the companion paper hep-th/9506151.) |
2308.16308 | A. Yu. Petrov | M. Gomes, J. G. Lima, T. Mariz, J. R. Nascimento, A. Yu. Petrov | Non-Abelian Carroll-Field-Jackiw term term in a Rarita-Schwinger model | 11 pages | Phys. Lett. B845, 138141 (2023) | 10.1016/j.physletb.2023.138141 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we demonstrate the possibility of generating a non-Abelian
Carroll-Field-Jackiw (CFJ) term in the theory of a non-Abelian gauge field
coupled to a spin-3/2 field in the presence of the constant axial vector field.
Applying two regularization schemes, we prove that this term is finite and
ambiguous, particularly vanishing within the 't Hooft-Veltman scheme.
| [
{
"created": "Wed, 30 Aug 2023 20:24:38 GMT",
"version": "v1"
}
] | 2023-09-01 | [
[
"Gomes",
"M.",
""
],
[
"Lima",
"J. G.",
""
],
[
"Mariz",
"T.",
""
],
[
"Nascimento",
"J. R.",
""
],
[
"Petrov",
"A. Yu.",
""
]
] | In this paper, we demonstrate the possibility of generating a non-Abelian Carroll-Field-Jackiw (CFJ) term in the theory of a non-Abelian gauge field coupled to a spin-3/2 field in the presence of the constant axial vector field. Applying two regularization schemes, we prove that this term is finite and ambiguous, particularly vanishing within the 't Hooft-Veltman scheme. |
1501.01628 | Eric R. Sharpe | E. Sharpe | A few recent developments in 2d (2,2) and (0,2) theories | 20 pages, LaTeX, contribution to proceedings of String-Math 2014; v2:
typos fixed | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note we summarize a few of the many recent developments in
two-dimensional quantum field theories. We begin with a review of the current
state of quantum sheaf cohomology, a heterotic analogue of quantum cohomology.
We then turn to dualities: we outline the current status of (0,2) mirror
symmetry, and then outline recent work on two-dimensional gauge dualities. In
particular, we describe how many two-dimensional gauge dualities in both (2,2)
and (0,2) supersymmetric gauge theories can be understood simply as different
presentations of the same infrared (IR) geometry. We then discuss (not
necessarily supersymmetric) two-dimensional nonabelian gauge theories in which
a subgroup of the gauge group acts trivially on massless matter. We describe
how these theories 'decompose' into disjoint unions of other theories indexed
by discrete theta angles, a fact which in other contexts has proven to have
implications for interpretations of certain gauged linear sigma models (GLSMs)
and for Gromov-Witten invariants of stacks. We conclude with a discussion of
recent developments in infinitesimal moduli of heterotic compactifications.
| [
{
"created": "Wed, 7 Jan 2015 21:00:09 GMT",
"version": "v1"
},
{
"created": "Fri, 15 May 2015 15:05:44 GMT",
"version": "v2"
}
] | 2015-05-18 | [
[
"Sharpe",
"E.",
""
]
] | In this note we summarize a few of the many recent developments in two-dimensional quantum field theories. We begin with a review of the current state of quantum sheaf cohomology, a heterotic analogue of quantum cohomology. We then turn to dualities: we outline the current status of (0,2) mirror symmetry, and then outline recent work on two-dimensional gauge dualities. In particular, we describe how many two-dimensional gauge dualities in both (2,2) and (0,2) supersymmetric gauge theories can be understood simply as different presentations of the same infrared (IR) geometry. We then discuss (not necessarily supersymmetric) two-dimensional nonabelian gauge theories in which a subgroup of the gauge group acts trivially on massless matter. We describe how these theories 'decompose' into disjoint unions of other theories indexed by discrete theta angles, a fact which in other contexts has proven to have implications for interpretations of certain gauged linear sigma models (GLSMs) and for Gromov-Witten invariants of stacks. We conclude with a discussion of recent developments in infinitesimal moduli of heterotic compactifications. |
2311.07724 | Mehrdad Mirbabayi | Mehrdad Mirbabayi | An Observer's Measure of De Sitter Entropy | 26 pages; v2 includes several corrections most important of which is
the choice of contour for analytic continuation between AdS and dS | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The two-point correlation function of a massive field $\langle
\chi(\tau)\chi(0)\rangle$, measured along an observer's worldline in de Sitter
(dS), decays exponentially as $\tau \to \infty$. Meanwhile, every dS observer
is surrounded by a horizon and the holographic interpretation of the horizon
entropy $S_{\rm dS}$ suggests that the correlation function should stop
decaying, and start behaving erratically at late times. We find evidence for
this expectation in Jackiw-Teitelboim gravity by finding a topologically
nontrivial saddle, which is suppressed by $e^{-S_{\rm dS}}$, and which gives a
constant contribution to $|\langle \chi(\tau)\chi(0)\rangle|^2$. This constant
might have the interpretation of the late-time average of $|\langle
\chi(\tau)\chi(0)\rangle|^2$ over all microscopic theories that have the same
low-energy effective description.
| [
{
"created": "Mon, 13 Nov 2023 20:09:17 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Nov 2023 17:05:56 GMT",
"version": "v2"
}
] | 2023-11-27 | [
[
"Mirbabayi",
"Mehrdad",
""
]
] | The two-point correlation function of a massive field $\langle \chi(\tau)\chi(0)\rangle$, measured along an observer's worldline in de Sitter (dS), decays exponentially as $\tau \to \infty$. Meanwhile, every dS observer is surrounded by a horizon and the holographic interpretation of the horizon entropy $S_{\rm dS}$ suggests that the correlation function should stop decaying, and start behaving erratically at late times. We find evidence for this expectation in Jackiw-Teitelboim gravity by finding a topologically nontrivial saddle, which is suppressed by $e^{-S_{\rm dS}}$, and which gives a constant contribution to $|\langle \chi(\tau)\chi(0)\rangle|^2$. This constant might have the interpretation of the late-time average of $|\langle \chi(\tau)\chi(0)\rangle|^2$ over all microscopic theories that have the same low-energy effective description. |
2308.11799 | Yu-Ping Wang | Hare Krishna, Yu-Ping Wang | Celestial holography from Chiral strings | 28 pages, 2 figures. Minor changes | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we studied the relationship between celestial holography and
chiral strings. Chiral strings differ from the usual string theory by a change
of boundary conditions on the string propagators. It is shown that chiral
strings would reproduce graviton amplitudes and could serve as an alternative
description of Einstein's gravity. Celestial holography is a proposed duality
between gravity in asymptotically flat space-time and a CFT living on its
conformal boundary. Since both are CFT descriptions of gravity, we investigate
the potential connection between these two formalisms. In this paper, we find
that both the energetic as well as conformal soft theorems could be derived
from the OPEs of vertex operators of chiral strings. All operators in the CCFT
can be described by Mellin transforming the vertex operators in the chiral
string theories, and the OPE coefficients of CCFT can also be obtained from the
world-sheet description.
| [
{
"created": "Tue, 22 Aug 2023 21:42:10 GMT",
"version": "v1"
},
{
"created": "Sun, 3 Sep 2023 06:18:04 GMT",
"version": "v2"
},
{
"created": "Fri, 12 Jan 2024 15:26:36 GMT",
"version": "v3"
},
{
"created": "Fri, 29 Mar 2024 21:14:21 GMT",
"version": "v4"
}
] | 2024-04-02 | [
[
"Krishna",
"Hare",
""
],
[
"Wang",
"Yu-Ping",
""
]
] | In this paper, we studied the relationship between celestial holography and chiral strings. Chiral strings differ from the usual string theory by a change of boundary conditions on the string propagators. It is shown that chiral strings would reproduce graviton amplitudes and could serve as an alternative description of Einstein's gravity. Celestial holography is a proposed duality between gravity in asymptotically flat space-time and a CFT living on its conformal boundary. Since both are CFT descriptions of gravity, we investigate the potential connection between these two formalisms. In this paper, we find that both the energetic as well as conformal soft theorems could be derived from the OPEs of vertex operators of chiral strings. All operators in the CCFT can be described by Mellin transforming the vertex operators in the chiral string theories, and the OPE coefficients of CCFT can also be obtained from the world-sheet description. |
2203.13323 | Steven Carlip | S. Carlip | A Schwarzian on the Stretched Horizon | 8 pages; v2: 9 pages, extended explanation of boundary conditions,
other minor changes, to appear in a special issue of Gen. Rel. Grav. in
memory of Prof. Thanu Padmanabhan ("Paddy") | null | 10.1007/s10714-022-02940-5 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is well known that the Euclidean black hole action has a boundary term at
the horizon proportional to the area. I show that if the horizon is replaced by
a stretched horizon with appropriate boundary conditions, a new boundary term
appears, described by a Schwarzian action similar to the recently discovered
boundary actions in "nearly anti-de Sitter" gravity.
| [
{
"created": "Thu, 24 Mar 2022 20:07:00 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Jun 2022 00:28:50 GMT",
"version": "v2"
}
] | 2022-06-15 | [
[
"Carlip",
"S.",
""
]
] | It is well known that the Euclidean black hole action has a boundary term at the horizon proportional to the area. I show that if the horizon is replaced by a stretched horizon with appropriate boundary conditions, a new boundary term appears, described by a Schwarzian action similar to the recently discovered boundary actions in "nearly anti-de Sitter" gravity. |
hep-th/0101181 | Lorenzo Hernandez | Enrique Alvarez, Cesar Gomez, Lorenzo Hernandez and Pedro Resco | Non-critical Non-singular Bosonic Strings, Linear Dilatons and
Holography | 14 pages, 5 figures, misprints corrected, reference added | Nucl.Phys. B603 (2001) 286-296 | 10.1016/S0550-3213(01)00146-8 | IFT-UAM/CSIC-01-02 | hep-th | null | $AdS_{5}$ with linear dilaton and non vanishing $B$-field is shown to be a
solution of the non critical string beta function equations. A non critical
$(D=5)$ solution interpolating between flat space-time and $AdS_{5}$, with
asymptotic linear dilaton and non vanishing $B$-field is also presented. This
solution is free of space-time singularities and has got the string coupling
constant everywhere bounded. Both solutions admit holographic interpretation in
terms of ${\cal N}=0$ field theories. Closed string tachyon stability is also
discussed.
| [
{
"created": "Fri, 26 Jan 2001 14:19:48 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Mar 2001 10:32:30 GMT",
"version": "v2"
}
] | 2016-09-06 | [
[
"Alvarez",
"Enrique",
""
],
[
"Gomez",
"Cesar",
""
],
[
"Hernandez",
"Lorenzo",
""
],
[
"Resco",
"Pedro",
""
]
] | $AdS_{5}$ with linear dilaton and non vanishing $B$-field is shown to be a solution of the non critical string beta function equations. A non critical $(D=5)$ solution interpolating between flat space-time and $AdS_{5}$, with asymptotic linear dilaton and non vanishing $B$-field is also presented. This solution is free of space-time singularities and has got the string coupling constant everywhere bounded. Both solutions admit holographic interpretation in terms of ${\cal N}=0$ field theories. Closed string tachyon stability is also discussed. |
1210.6547 | O. Kruglinskaya | O. Kruglinskaya | Correlation functions and spectral curves in models of minimal gravity | 9 pages | null | 10.1007/s11232-013-0006-4 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The correlation functions for models of minimal gravity are discussed. An
algorithm is proposed for calculations of invariant ratios from formulas of
residues that can be compared with the coefficients of expansion of the
partition function in Liouville theory. For (2,2K-1) models transition
coefficient from basis of quasiclassical hierarchy to basis Liouville theory is
obtained evidently, and the hypothesis about exact form of spectral curve has
been verified.
| [
{
"created": "Wed, 24 Oct 2012 14:27:54 GMT",
"version": "v1"
}
] | 2015-06-11 | [
[
"Kruglinskaya",
"O.",
""
]
] | The correlation functions for models of minimal gravity are discussed. An algorithm is proposed for calculations of invariant ratios from formulas of residues that can be compared with the coefficients of expansion of the partition function in Liouville theory. For (2,2K-1) models transition coefficient from basis of quasiclassical hierarchy to basis Liouville theory is obtained evidently, and the hypothesis about exact form of spectral curve has been verified. |
hep-th/0612288 | Ren\'e Meyer | Rene Meyer | Quantizing Two-Dimensional Dilaton Gravity with Fermions: The Vienna Way | 3 pages, no figures, To appear in the Proceedings of the 11th Marcel
Grossmann Meeting, Freie Universit\"at Berlin, 23-29 July 2006 | null | null | LU-ITP 2006/019, MPP-2006-255 | hep-th gr-qc | null | I review recent work on nonperturbative path integral quantization of
two-dimensional dilaton gravity coupled to Dirac fermions, employing the
"Vienna school" approach.
| [
{
"created": "Thu, 28 Dec 2006 12:26:06 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Meyer",
"Rene",
""
]
] | I review recent work on nonperturbative path integral quantization of two-dimensional dilaton gravity coupled to Dirac fermions, employing the "Vienna school" approach. |
1507.03723 | Vladimir Alexandrovich Krykhtin | I.L. Buchbinder, V.A. Krykhtin | Quartic interaction vertex in the massive integer higher spin field
theory in a constant electromagnetic field | 14 pages. arXiv admin note: substantial text overlap with
arXiv:1501.03278; v2: Typos corrected; v3: Typos corrected, version accepted
for publication in the European Physical Journal C | null | 10.1140/epjc/s10052-015-3687-z | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the massive integer higher spin fields coupled to an external
constant electromagnetic field in flat space of arbitrary dimension and find a
gauge invariant quartic interaction vertex which is quadratic in dynamical
higher spin field and quadratic in external field. Construction of the vertex
is based on the BRST approach to higher spin filed theory where no off-shell
constraints on the fields and on the gauge parameters are imposed from the very
beginning (unconstrained formulation).
| [
{
"created": "Tue, 14 Jul 2015 05:28:14 GMT",
"version": "v1"
},
{
"created": "Sun, 19 Jul 2015 17:12:00 GMT",
"version": "v2"
},
{
"created": "Fri, 18 Sep 2015 08:56:19 GMT",
"version": "v3"
}
] | 2015-10-28 | [
[
"Buchbinder",
"I. L.",
""
],
[
"Krykhtin",
"V. A.",
""
]
] | We consider the massive integer higher spin fields coupled to an external constant electromagnetic field in flat space of arbitrary dimension and find a gauge invariant quartic interaction vertex which is quadratic in dynamical higher spin field and quadratic in external field. Construction of the vertex is based on the BRST approach to higher spin filed theory where no off-shell constraints on the fields and on the gauge parameters are imposed from the very beginning (unconstrained formulation). |
1207.5706 | Ennio Gozzi | Enrico Cattaruzza, Ennio Gozzi | Universal local symmetries in classical mechanics and physical degrees
of freedom | Expanded the conclusion section and added an errata corrige | Physics Letters A 376 (2012) 3017-3020 | 10.1016/j.physleta.2012.09.040 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a recent paper we have analyzed the role that a universal set of local
symmetries plays in suppressing the superposition principle in classical
mechanics via a path-integral formulation of classical mechanics itself.
In this paper first we generalize those symmetries, second we study the role
which the gauge fixing plays and third we put forward the idea of which ones
should be the physical degrees of freedom of the theory.
| [
{
"created": "Tue, 24 Jul 2012 14:12:32 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Jul 2012 13:36:05 GMT",
"version": "v2"
},
{
"created": "Sun, 5 Aug 2012 10:19:03 GMT",
"version": "v3"
},
{
"created": "Tue, 28 Aug 2012 09:38:20 GMT",
"version": "v4"
},
{
"created": "Wed, 28 Nov 2012 13:35:08 GMT",
"version": "v5"
}
] | 2012-11-29 | [
[
"Cattaruzza",
"Enrico",
""
],
[
"Gozzi",
"Ennio",
""
]
] | In a recent paper we have analyzed the role that a universal set of local symmetries plays in suppressing the superposition principle in classical mechanics via a path-integral formulation of classical mechanics itself. In this paper first we generalize those symmetries, second we study the role which the gauge fixing plays and third we put forward the idea of which ones should be the physical degrees of freedom of the theory. |
1507.06573 | Orlando Panella | M. Presilla, O. Panella and P. Roy | Quantum phase transitions of the Dirac oscillator in the Anti-Snyder
model | 10 pages, 2 Figures. Accepted for publication by the Physical Review
D | null | 10.1103/PhysRevD.92.045019 | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We obtain exact solutions of the (2+1) dimensional Dirac oscillator in a
homogeneous magnetic field within the Anti-Snyder modified uncertainty relation
characterized by a momentum cut-off ($p\leq p_{\text{max}}=1/ \sqrt{\beta}$).
In ordinary quantum mechanics ($\beta\to 0$) this system is known to have a
single left-right chiral quantum phase transition (QPT). We show that a finite
momentum cut-off modifies the spectrum introducing additional quantum phase
transitions. It is also shown that the presence of momentum cut-off modifies
the degeneracy of the states.
| [
{
"created": "Thu, 23 Jul 2015 17:18:58 GMT",
"version": "v1"
}
] | 2015-09-02 | [
[
"Presilla",
"M.",
""
],
[
"Panella",
"O.",
""
],
[
"Roy",
"P.",
""
]
] | We obtain exact solutions of the (2+1) dimensional Dirac oscillator in a homogeneous magnetic field within the Anti-Snyder modified uncertainty relation characterized by a momentum cut-off ($p\leq p_{\text{max}}=1/ \sqrt{\beta}$). In ordinary quantum mechanics ($\beta\to 0$) this system is known to have a single left-right chiral quantum phase transition (QPT). We show that a finite momentum cut-off modifies the spectrum introducing additional quantum phase transitions. It is also shown that the presence of momentum cut-off modifies the degeneracy of the states. |
0705.2020 | Matthew Kleban | Matthew Kleban and Michele Redi | Expanding F-Theory | 13 pages v2: refs added | JHEP 0709:038,2007 | 10.1088/1126-6708/2007/09/038 | null | hep-th | null | We construct a general class of new time dependent solutions of non-linear
sigma models coupled to gravity. These solutions describe configurations of
expanding or contracting codimension two solitons which are not subject to a
constraint on the total tension. The two dimensional metric on the space
transverse to the defects is determined by the Liouville equation. This space
can be compact or non-compact, and of any topology. We show that this
construction can be applied naturally in type IIB string theory to find
backgrounds describing a number of 7-branes larger than 24.
| [
{
"created": "Tue, 15 May 2007 18:53:18 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Jun 2007 09:42:35 GMT",
"version": "v2"
}
] | 2009-04-17 | [
[
"Kleban",
"Matthew",
""
],
[
"Redi",
"Michele",
""
]
] | We construct a general class of new time dependent solutions of non-linear sigma models coupled to gravity. These solutions describe configurations of expanding or contracting codimension two solitons which are not subject to a constraint on the total tension. The two dimensional metric on the space transverse to the defects is determined by the Liouville equation. This space can be compact or non-compact, and of any topology. We show that this construction can be applied naturally in type IIB string theory to find backgrounds describing a number of 7-branes larger than 24. |
1008.3027 | Tameem Albash | Tameem Albash and Clifford V. Johnson | Evolution of Holographic Entanglement Entropy after Thermal and
Electromagnetic Quenches | 30 pages, 19 figures. Corrected typos and added some discussion. To
appear in New J. Phys | New J.Phys.13:045017,2011 | 10.1088/1367-2630/13/4/045017 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the evolution and scaling of the entanglement entropy after two
types of quenches for a 2+1 field theory, using holographic techniques. We
study a thermal quench, dual to the addition of a shell of uncharged matter to
four dimensional Anti-de Sitter (AdS_4) spacetime, and study the subsequent
formation of a Schwarzschild black hole. We also study an electromagnetic
quench, dual to the addition of a shell of charged sources to AdS_4, following
the subsequent formation of an extremal dyonic black hole. In these backgrounds
we consider the entanglement entropy of two types of geometries, the infinite
strip and the round disc, and find distinct behavior for each. Some of our
findings naturally supply results analogous to observations made in the
literature for lower dimensions, but we also uncover several new phenomena,
such as (in some cases) a discontinuity in the time derivative of the
entanglement entropy as it nears saturation, and for the electromagnetic
quench, a logarithmic growth in the entanglement entropy with time for both the
disc and strip, before settling to saturation.
| [
{
"created": "Wed, 18 Aug 2010 06:27:34 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Mar 2011 23:32:53 GMT",
"version": "v2"
}
] | 2011-08-11 | [
[
"Albash",
"Tameem",
""
],
[
"Johnson",
"Clifford V.",
""
]
] | We study the evolution and scaling of the entanglement entropy after two types of quenches for a 2+1 field theory, using holographic techniques. We study a thermal quench, dual to the addition of a shell of uncharged matter to four dimensional Anti-de Sitter (AdS_4) spacetime, and study the subsequent formation of a Schwarzschild black hole. We also study an electromagnetic quench, dual to the addition of a shell of charged sources to AdS_4, following the subsequent formation of an extremal dyonic black hole. In these backgrounds we consider the entanglement entropy of two types of geometries, the infinite strip and the round disc, and find distinct behavior for each. Some of our findings naturally supply results analogous to observations made in the literature for lower dimensions, but we also uncover several new phenomena, such as (in some cases) a discontinuity in the time derivative of the entanglement entropy as it nears saturation, and for the electromagnetic quench, a logarithmic growth in the entanglement entropy with time for both the disc and strip, before settling to saturation. |
hep-th/0305120 | Ryu Sasaki | O. Ragnisco and R. Sasaki | Quantum vs Classical Integrability in Ruijsenaars-Schneider Systems | LaTeX2e with amsfonts 15 pages, no figures | J.Phys.A37:469-480,2004 | 10.1088/0305-4470/37/2/015 | YITP-03-09 | hep-th math-ph math.MP math.QA nlin.SI | null | The relationship (resemblance and/or contrast) between quantum and classical
integrability in Ruijsenaars-Schneider systems, which are one parameter
deformation of Calogero-Moser systems, is addressed. Many remarkable properties
of classical Calogero and Sutherland systems (based on any root system) at
equilibrium are reported in a previous paper (Corrigan-Sasaki). For example,
the minimum energies, frequencies of small oscillations and the eigenvalues of
Lax pair matrices at equilibrium are all "integer valued". In this paper we
report that similar features and results hold for the Ruijsenaars-Schneider
type of integrable systems based on the classical root systems.
| [
{
"created": "Wed, 14 May 2003 05:14:21 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Ragnisco",
"O.",
""
],
[
"Sasaki",
"R.",
""
]
] | The relationship (resemblance and/or contrast) between quantum and classical integrability in Ruijsenaars-Schneider systems, which are one parameter deformation of Calogero-Moser systems, is addressed. Many remarkable properties of classical Calogero and Sutherland systems (based on any root system) at equilibrium are reported in a previous paper (Corrigan-Sasaki). For example, the minimum energies, frequencies of small oscillations and the eigenvalues of Lax pair matrices at equilibrium are all "integer valued". In this paper we report that similar features and results hold for the Ruijsenaars-Schneider type of integrable systems based on the classical root systems. |
hep-th/9506009 | null | Vicente Pleitez | Extra dimensions and color confinement | 9 pages, Revtex 3.0 | null | null | IFT-P.019/95 | hep-th | null | We consider an extension of the ordinary four dimensional Minkowski space by
introducing additional dimensions which have their own Lorentz transformation.
Particles can transform in a different way under each Lorentz group. We show
that only quark interactions are slightly modified and that color confinement
is automatic since these degrees of freedom run only in the extra dimensions.
No compactification of the extra dimensions is needed.
| [
{
"created": "Thu, 1 Jun 1995 14:40:00 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Pleitez",
"Vicente",
""
]
] | We consider an extension of the ordinary four dimensional Minkowski space by introducing additional dimensions which have their own Lorentz transformation. Particles can transform in a different way under each Lorentz group. We show that only quark interactions are slightly modified and that color confinement is automatic since these degrees of freedom run only in the extra dimensions. No compactification of the extra dimensions is needed. |
hep-th/0012106 | Nikolaos Tetradis | N. Tetradis | On Brane Stabilization and the Cosmological Constant | 10 pages, 1 figure, clarified presentation in the third section,
references added, to appear in Phys. Lett. B | Phys.Lett. B509 (2001) 307-314 | 10.1016/S0370-2693(01)00458-0 | null | hep-th hep-ph | null | We address the problem of the cosmological constant within the
Randall-Sundrum scenario with a brane stabilization mechanism. We consider
brane tensions of general form. We examine the conditions under which a small
change of the positive tension of the first brane can be absorbed in a small
modification of the two-brane configuration, instead of manifesting itself as a
cosmological constant. We demonstrate that it is possible to have a
cosmological constant in the range predicted by recent observational data, if
there is an ultraviolet cutoff of order 10 TeV in the contributions to the
brane tension from vacuum fluctuations.
| [
{
"created": "Tue, 12 Dec 2000 17:59:02 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Apr 2001 15:10:11 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Tetradis",
"N.",
""
]
] | We address the problem of the cosmological constant within the Randall-Sundrum scenario with a brane stabilization mechanism. We consider brane tensions of general form. We examine the conditions under which a small change of the positive tension of the first brane can be absorbed in a small modification of the two-brane configuration, instead of manifesting itself as a cosmological constant. We demonstrate that it is possible to have a cosmological constant in the range predicted by recent observational data, if there is an ultraviolet cutoff of order 10 TeV in the contributions to the brane tension from vacuum fluctuations. |
hep-th/0412288 | Koenraad Schalm | Koenraad Schalm, Gary Shiu, Jan Pieter van der Schaar | The cosmological vacuum ambiguity, effective actions, and transplanckian
effects in inflation | LaTeX, 30 pages, 2 figures. Presented by KS at the Mitchell
Conference on Strings and Cosmology | null | 10.1063/1.1848340 | null | hep-th | null | We provide a prescription for parametrizing the vacuum choice ambiguity in
cosmological settings. We introduce an arbitrary boundary action representing
the initial conditions. A Lagrangian description is moreover the natural
setting to study decoupling of high-energy physics. RG flow affects the
boundary interactions. As a consequence the boundary conditions are sensitive
to high-energy physics through irrelevant terms in the boundary action. Using
scalar field theory as an example, we derive the leading dimension four
irrelevant boundary operators. We discuss how the known vacuum choices, e.g.
the Bunch-Davies vacuum, appear in the Lagrangian description and square with
decoupling. For all choices of boundary conditions encoded by relevant boundary
operators, of which the known ones are a subset, backreaction is under control.
All, moreover, will generically feel the influence of high-energy physics
through irrelevant (dimension four) boundary corrections. Having established a
coherent effective field theory framework including the vacuum choice
ambiguity, we derive an explicit expression for the power spectrum of
inflationary density perturbations including the leading high energy
corrections. In accordance with the dimensionality of the leading irrelevant
operators, the effect of high energy physics is linearly proportional to the
Hubble radius H and the scale of new physics l = 1/M. Effects of such strength
are potentially observable in future measurements of the cosmic microwave
background.
| [
{
"created": "Thu, 23 Dec 2004 16:48:05 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Schalm",
"Koenraad",
""
],
[
"Shiu",
"Gary",
""
],
[
"van der Schaar",
"Jan Pieter",
""
]
] | We provide a prescription for parametrizing the vacuum choice ambiguity in cosmological settings. We introduce an arbitrary boundary action representing the initial conditions. A Lagrangian description is moreover the natural setting to study decoupling of high-energy physics. RG flow affects the boundary interactions. As a consequence the boundary conditions are sensitive to high-energy physics through irrelevant terms in the boundary action. Using scalar field theory as an example, we derive the leading dimension four irrelevant boundary operators. We discuss how the known vacuum choices, e.g. the Bunch-Davies vacuum, appear in the Lagrangian description and square with decoupling. For all choices of boundary conditions encoded by relevant boundary operators, of which the known ones are a subset, backreaction is under control. All, moreover, will generically feel the influence of high-energy physics through irrelevant (dimension four) boundary corrections. Having established a coherent effective field theory framework including the vacuum choice ambiguity, we derive an explicit expression for the power spectrum of inflationary density perturbations including the leading high energy corrections. In accordance with the dimensionality of the leading irrelevant operators, the effect of high energy physics is linearly proportional to the Hubble radius H and the scale of new physics l = 1/M. Effects of such strength are potentially observable in future measurements of the cosmic microwave background. |
2404.02149 | Avik Banerjee | Avik Banerjee, Ayan Mukhopadhyay, Giuseppe Policastro | Nambu-Goto equation from three-dimensional gravity | 27 pages, 1 figure | null | null | null | hep-th gr-qc math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | We demonstrate that the solutions of three-dimensional gravity obtained by
gluing two copies of a spacetime across a junction constituted of a tensile
string are in one-to-one correspondence with the solutions of the Nambu-Goto
equation in the same spacetime up to a finite number of rigid deformations. The
non-linear Nambu-Goto equation satisfied by the average of the embedding
coordinates of the junction emerges directly from the junction conditions along
with the rigid deformations and corrections due to the tension. Therefore, the
equivalence principle generalizes non-trivially to the string. Our results are
valid both in three-dimensional flat and AdS spacetimes. In the context of
AdS$_3$/CFT$_2$ correspondence, our setup could be used to describe a class of
interfaces in the conformal field theory featuring relative time
reparametrization at the interface which encodes the solution of the Nambu-Goto
equation corresponding to the bulk junction.
| [
{
"created": "Tue, 2 Apr 2024 17:58:22 GMT",
"version": "v1"
}
] | 2024-04-05 | [
[
"Banerjee",
"Avik",
""
],
[
"Mukhopadhyay",
"Ayan",
""
],
[
"Policastro",
"Giuseppe",
""
]
] | We demonstrate that the solutions of three-dimensional gravity obtained by gluing two copies of a spacetime across a junction constituted of a tensile string are in one-to-one correspondence with the solutions of the Nambu-Goto equation in the same spacetime up to a finite number of rigid deformations. The non-linear Nambu-Goto equation satisfied by the average of the embedding coordinates of the junction emerges directly from the junction conditions along with the rigid deformations and corrections due to the tension. Therefore, the equivalence principle generalizes non-trivially to the string. Our results are valid both in three-dimensional flat and AdS spacetimes. In the context of AdS$_3$/CFT$_2$ correspondence, our setup could be used to describe a class of interfaces in the conformal field theory featuring relative time reparametrization at the interface which encodes the solution of the Nambu-Goto equation corresponding to the bulk junction. |
1812.03482 | Si-Wen Li | Si-wen Li | A holographic description of heavy-flavoured baryonic matter decay
involving glueball | 24 pages, 3 tables, 1 figure, add more analysis and fix the
references in this version | Phys. Rev. D 99, 046013 (2019) | 10.1103/PhysRevD.99.046013 | null | hep-th nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We holographically investigate the decay of heavy-flavoured baryonic hadron
involving glueball by using the Witten-Sakai-Sugimoto model. Since baryon in
this model is recognized as the D4-brane wrapped on $S^{4}$ and the glueball
field is identified as the bulk gravitational fluctuations, the interaction of
the bulk graviton and the baryon brane could be naturally interpreted as
glueball-baryon interaction through the holography which is nothing but the
close-open string interaction in string theory. In order to take account into
the heavy flavour, an extra pair of heavy-flavoured branes separated from the
other flavour branes with a heavy-light open string is embedded into the bulk.
Due to the finite separation of the flavour branes, the heavy-light string
creates massive multiplets which could be identified as the heavy-light meson
fields in this model. As the baryon brane on the other hand could be
equivalently described by the instanton configuration on the flavour brane, we
solve the equations of motion for the heavy-light fields with the
Belavin-Polyakov-Schwarz-Tyupkin (BPST) instanton solution for the $N_{f}=2$
flavoured gauge fields. Then with the solutions, we evaluate the soliton mass
by deriving the flavoured onshell action in strongly coupling limit and heavy
quark limit. After the collectivization and quantization, the quantum
mechanical system for glueball and heavy-flavoured baryon is obtained in which
the effective Hamiltonian is time-dependent. Finally we use the standard
technique for the time-dependent quantum mechanical system to analyze the decay
of heavy-flavoured baryon involving glueball and we find one of the decay
process might correspond to the decay of baryonic B-meson involving the
glueball candidate $f_{0}\left(1710\right)$. This work is a holographic
approach to study the decay of heavy-flavoured hadron in nuclear physics.
| [
{
"created": "Sun, 9 Dec 2018 13:14:42 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Feb 2019 06:15:04 GMT",
"version": "v2"
}
] | 2019-02-27 | [
[
"Li",
"Si-wen",
""
]
] | We holographically investigate the decay of heavy-flavoured baryonic hadron involving glueball by using the Witten-Sakai-Sugimoto model. Since baryon in this model is recognized as the D4-brane wrapped on $S^{4}$ and the glueball field is identified as the bulk gravitational fluctuations, the interaction of the bulk graviton and the baryon brane could be naturally interpreted as glueball-baryon interaction through the holography which is nothing but the close-open string interaction in string theory. In order to take account into the heavy flavour, an extra pair of heavy-flavoured branes separated from the other flavour branes with a heavy-light open string is embedded into the bulk. Due to the finite separation of the flavour branes, the heavy-light string creates massive multiplets which could be identified as the heavy-light meson fields in this model. As the baryon brane on the other hand could be equivalently described by the instanton configuration on the flavour brane, we solve the equations of motion for the heavy-light fields with the Belavin-Polyakov-Schwarz-Tyupkin (BPST) instanton solution for the $N_{f}=2$ flavoured gauge fields. Then with the solutions, we evaluate the soliton mass by deriving the flavoured onshell action in strongly coupling limit and heavy quark limit. After the collectivization and quantization, the quantum mechanical system for glueball and heavy-flavoured baryon is obtained in which the effective Hamiltonian is time-dependent. Finally we use the standard technique for the time-dependent quantum mechanical system to analyze the decay of heavy-flavoured baryon involving glueball and we find one of the decay process might correspond to the decay of baryonic B-meson involving the glueball candidate $f_{0}\left(1710\right)$. This work is a holographic approach to study the decay of heavy-flavoured hadron in nuclear physics. |
1806.06755 | Dionisio Bazeia | D. Bazeia, L. Losano, M.A. Marques, R. Menezes | First order framework for gauge k-vortices | 7 pages, 6 figures; reference added, to appear in AHEP | Advances High Energy Phys. 2018, 9635427 (2018) | 10.1155/2018/9635427 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study vortices in generalized Maxwell-Higgs models, with the inclusion of
a quadratic kinetic term with the covariant derivative of the scalar field in
the Lagrangian density. We discuss the stressless condition and show that the
presence of analytical solutions help us to define the model compatible with
the existence of first order equations. A method to decouple the first order
equations and to construct the model is then introduced and, as a bonus, we get
the energy depending exclusively on a function of the fields calculated from
the boundary conditions. We investigate some specific possibilities and find,
in particular, a compact vortex configuration in which the energy density is
all concentrated in a unit circle.
| [
{
"created": "Mon, 18 Jun 2018 15:11:51 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Nov 2018 21:20:52 GMT",
"version": "v2"
},
{
"created": "Thu, 13 Dec 2018 11:58:31 GMT",
"version": "v3"
}
] | 2018-12-27 | [
[
"Bazeia",
"D.",
""
],
[
"Losano",
"L.",
""
],
[
"Marques",
"M. A.",
""
],
[
"Menezes",
"R.",
""
]
] | We study vortices in generalized Maxwell-Higgs models, with the inclusion of a quadratic kinetic term with the covariant derivative of the scalar field in the Lagrangian density. We discuss the stressless condition and show that the presence of analytical solutions help us to define the model compatible with the existence of first order equations. A method to decouple the first order equations and to construct the model is then introduced and, as a bonus, we get the energy depending exclusively on a function of the fields calculated from the boundary conditions. We investigate some specific possibilities and find, in particular, a compact vortex configuration in which the energy density is all concentrated in a unit circle. |
0712.0615 | Christopher Pope | M.J. Perry, H. Lu and C.N. Pope | Infinite-Dimensional Symmetries of Two-Dimensional Coset Models Coupled
to Gravity | 27 pages | Nucl.Phys.B806:656-683,2009 | 10.1016/j.nuclphysb.2008.07.035 | DAMTP-2007-115 MIFP-07-31 | hep-th | null | In an earlier paper we studied the infinite-dimensional symmetries of
symmetric-space sigma models (SSMs) in a flat two-dimensional spacetime. Here,
we extend our investigation to the case of two-dimensional SSMs coupled to
gravity. These theories arise from the toroidal reduction of higher-dimensional
gravity and supergravities to two dimensions. We construct explicit expressions
for the symmetry transformations under the affine Kac-Moody extension $\hat G$
that arises when starting from a G/H coset model. We also construct further
explicit symmetry transformations that correspond to the modes L_n of a
Virasoro subalgebra with $n\ge -1$.
| [
{
"created": "Tue, 4 Dec 2007 21:20:27 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Perry",
"M. J.",
""
],
[
"Lu",
"H.",
""
],
[
"Pope",
"C. N.",
""
]
] | In an earlier paper we studied the infinite-dimensional symmetries of symmetric-space sigma models (SSMs) in a flat two-dimensional spacetime. Here, we extend our investigation to the case of two-dimensional SSMs coupled to gravity. These theories arise from the toroidal reduction of higher-dimensional gravity and supergravities to two dimensions. We construct explicit expressions for the symmetry transformations under the affine Kac-Moody extension $\hat G$ that arises when starting from a G/H coset model. We also construct further explicit symmetry transformations that correspond to the modes L_n of a Virasoro subalgebra with $n\ge -1$. |
1405.3297 | Dejan Stojkovic | Niayesh Afshordi and Dejan Stojkovic | Emergent Spacetime in Stochastically Evolving Dimensions | Published in Phys.Lett. B739 (2014) 117-124 | Phys.Lett. B739 (2014) 117-124 | 10.1016/j.physletb.2014.10.048 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Changing the dimensionality of the space-time at the smallest and largest
distances has manifold theoretical advantages. If the space is lower
dimensional in the high energy regime, then there are no ultraviolet
divergencies in field theories, it is possible to quantize gravity, and the
theory of matter plus gravity is free of divergencies or renormalizable. If the
space is higher dimensional at cosmological scales, then some cosmological
problems (including the cosmological constant problem) can be attacked from a
completely new perspective. In this paper, we construct an explicit model of
"evolving dimensions" in which the dimensions open up as the temperature of the
universe drops. We adopt the string theory framework in which the dimensions
are fields that live on the string worldsheet, and add temperature dependent
mass terms for them. At the Big Bang, all the dimensions are very heavy and are
not excited. As the universe cools down, dimensions open up one by one. Thus,
the dimensionality of the space we live in depends on the energy or temperature
that we are probing. In particular, we provide a kinematic Brandenberger-Vafa
argument for how a discrete {\it causal set}, and eventually a continuum
$(3+1)$-dim spacetime along with Einstein gravity emerge in the Infrared from
the worldsheet action. The $(3+1)$-dim Planck mass and the string scale become
directly related, {\it without any} compactification. Amongst other
predictions, we argue that LHC might be blind to new physics even if it comes
at the TeV scale. In contrast, cosmic ray experiments, especially those that
can register the very beginning of the shower, and collisions with high
multiplicity and density of particles, might be sensitive to the dimensional
cross-over.
| [
{
"created": "Tue, 13 May 2014 20:17:07 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Nov 2014 00:59:35 GMT",
"version": "v2"
}
] | 2015-06-19 | [
[
"Afshordi",
"Niayesh",
""
],
[
"Stojkovic",
"Dejan",
""
]
] | Changing the dimensionality of the space-time at the smallest and largest distances has manifold theoretical advantages. If the space is lower dimensional in the high energy regime, then there are no ultraviolet divergencies in field theories, it is possible to quantize gravity, and the theory of matter plus gravity is free of divergencies or renormalizable. If the space is higher dimensional at cosmological scales, then some cosmological problems (including the cosmological constant problem) can be attacked from a completely new perspective. In this paper, we construct an explicit model of "evolving dimensions" in which the dimensions open up as the temperature of the universe drops. We adopt the string theory framework in which the dimensions are fields that live on the string worldsheet, and add temperature dependent mass terms for them. At the Big Bang, all the dimensions are very heavy and are not excited. As the universe cools down, dimensions open up one by one. Thus, the dimensionality of the space we live in depends on the energy or temperature that we are probing. In particular, we provide a kinematic Brandenberger-Vafa argument for how a discrete {\it causal set}, and eventually a continuum $(3+1)$-dim spacetime along with Einstein gravity emerge in the Infrared from the worldsheet action. The $(3+1)$-dim Planck mass and the string scale become directly related, {\it without any} compactification. Amongst other predictions, we argue that LHC might be blind to new physics even if it comes at the TeV scale. In contrast, cosmic ray experiments, especially those that can register the very beginning of the shower, and collisions with high multiplicity and density of particles, might be sensitive to the dimensional cross-over. |
hep-th/9702094 | Michael E. Peskin | Michael E. Peskin | Duality in Supersymmetric Yang-Mills Theory | 80 pages, latex + 12 figures, TASI96 | null | null | SLAC-PUB-7393 | hep-th hep-ph | null | These lectures provide an introduction to the behavior of strongly-coupled
supersymmetric gauge theories. After a discussion of the effective Lagrangian
in nonsupersymmetric and supersymmetric field theories, I analyze the
qualitative behavior of the simplest illustrative models. These include
supersymmetric QCD for $N_f < N_c$, in which the superpotential is generated
nonperturbatively, N=2 SU(2) Yang-Mills theory (the Seiberg-Witten model), in
which the nonperturbative behavior of the effective coupling is described
geometrically, and supersymmetric QCD for N_f large, in which the theory
illustrates a non-Abelian generalization of electric-magnetic duality.
[Lectures presented at the 1996 TASI Summer School, to appear in the
proceedings.]
| [
{
"created": "Tue, 11 Feb 1997 20:24:47 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Peskin",
"Michael E.",
""
]
] | These lectures provide an introduction to the behavior of strongly-coupled supersymmetric gauge theories. After a discussion of the effective Lagrangian in nonsupersymmetric and supersymmetric field theories, I analyze the qualitative behavior of the simplest illustrative models. These include supersymmetric QCD for $N_f < N_c$, in which the superpotential is generated nonperturbatively, N=2 SU(2) Yang-Mills theory (the Seiberg-Witten model), in which the nonperturbative behavior of the effective coupling is described geometrically, and supersymmetric QCD for N_f large, in which the theory illustrates a non-Abelian generalization of electric-magnetic duality. [Lectures presented at the 1996 TASI Summer School, to appear in the proceedings.] |
1505.05510 | Miguel Montero | I\~naki Garc\'ia-Etxebarria and Miguel Montero and Angel M. Uranga | Closed tachyon solitons in type II string theory | 35 pages+appendices v2: Corrected misprints & updated references;
details added to appendix B | null | 10.1002/prop.201500029 | MPP-2015-105, IFT-UAM/CSIC-15-053, FTUAM-15-14 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Type II theories can be described as the endpoint of closed string tachyon
condensation in certain orbifolds of supercritical type 0 theories. In this
paper, we study solitons of this closed string tachyon and analyze the nature
of the resulting defects in critical type II theories. The solitons are
classified by the real K-theory groups KO of bundles associated to pairs of
supercritical dimensions. For real codimension 4 and 8, corresponding to
$KO({\bf S}^4)={\bf Z}$ and $KO({\bf S}^8)={\bf Z}$, the defects correspond to
a gravitational instanton and a fundamental string, respectively. We apply
these ideas to reinterpret the worldsheet GLSM, regarded as a supercritical
theory on the ambient toric space with closed tachyon condensation onto the CY
hypersurface, and use it to describe charged solitons under discrete
isometries. We also suggest the possible applications of supercritical strings
to the physical interpretation of the matrix factorization description of
F-theory on singular spaces.
| [
{
"created": "Wed, 20 May 2015 20:00:36 GMT",
"version": "v1"
},
{
"created": "Sat, 25 Jul 2015 17:12:23 GMT",
"version": "v2"
}
] | 2015-07-28 | [
[
"García-Etxebarria",
"Iñaki",
""
],
[
"Montero",
"Miguel",
""
],
[
"Uranga",
"Angel M.",
""
]
] | Type II theories can be described as the endpoint of closed string tachyon condensation in certain orbifolds of supercritical type 0 theories. In this paper, we study solitons of this closed string tachyon and analyze the nature of the resulting defects in critical type II theories. The solitons are classified by the real K-theory groups KO of bundles associated to pairs of supercritical dimensions. For real codimension 4 and 8, corresponding to $KO({\bf S}^4)={\bf Z}$ and $KO({\bf S}^8)={\bf Z}$, the defects correspond to a gravitational instanton and a fundamental string, respectively. We apply these ideas to reinterpret the worldsheet GLSM, regarded as a supercritical theory on the ambient toric space with closed tachyon condensation onto the CY hypersurface, and use it to describe charged solitons under discrete isometries. We also suggest the possible applications of supercritical strings to the physical interpretation of the matrix factorization description of F-theory on singular spaces. |
1405.1830 | Daniele Oriti | Daniele Oriti | Non-commutative quantum geometric data in group field theories | 10 pages; to appear in the proceedings of the workshop
"Non-commutative field theory and gravity", Corfu', Greece, EU, September
2013 | null | 10.1002/prop.201400038 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review briefly the motivations for introducing additional group-theoretic
data in tensor models, leading to the richer framework of group field theories,
themselves a field theory formulation of loop quantum gravity. We discuss how
these data give to the GFT amplitudes the structure of lattice gauge theories
and simplicial gravity path integrals, and make their quantum geometry
manifest. We focus in particular on the non-commutative flux/algebra
representation of these models.
| [
{
"created": "Thu, 8 May 2014 08:05:58 GMT",
"version": "v1"
}
] | 2016-01-20 | [
[
"Oriti",
"Daniele",
""
]
] | We review briefly the motivations for introducing additional group-theoretic data in tensor models, leading to the richer framework of group field theories, themselves a field theory formulation of loop quantum gravity. We discuss how these data give to the GFT amplitudes the structure of lattice gauge theories and simplicial gravity path integrals, and make their quantum geometry manifest. We focus in particular on the non-commutative flux/algebra representation of these models. |
hep-th/9908204 | Nikita Nekrassov | A.Losev, N.Nekrasov and S.Shatashvili | The Freckled Instantons | LaTeX, 27 pp; v2. affiliations of the authors and typos corrected. To
appear in Yuri Golfand Memorial Volume | null | 10.1142/9789812793850_0026 | ITEP-TH-42/99 | hep-th | null | We study instanton-corrected renormalization group flow in the two
dimensional sigma models and four dimensional gauge theory. In two dimensions
we do that by replacing the non-linear supersymmetric ${\IC\IP}^{N-1}$ model by
the gauged linear sigma model which is in the same universality class. We
compare the moduli spaces of the instantons in the non-linear model and that of
BPS field configurations in the linear model. We reduce the problem of matching
of the parameters of the two systems to the intersection theory on the compact
moduli space of the latter model. Both cases (2d and 4d) are unified by the
notion of the {\it freckled instantons}. We also put an end to the discussion
of the nature of the superpotentials $W \sim {\s} {\rm log} {\s}$ in 2d and 4d
and discover the surprising disconnectnessness of the effective target space.
| [
{
"created": "Mon, 30 Aug 1999 20:57:49 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Aug 1999 19:25:00 GMT",
"version": "v2"
}
] | 2016-11-23 | [
[
"Losev",
"A.",
""
],
[
"Nekrasov",
"N.",
""
],
[
"Shatashvili",
"S.",
""
]
] | We study instanton-corrected renormalization group flow in the two dimensional sigma models and four dimensional gauge theory. In two dimensions we do that by replacing the non-linear supersymmetric ${\IC\IP}^{N-1}$ model by the gauged linear sigma model which is in the same universality class. We compare the moduli spaces of the instantons in the non-linear model and that of BPS field configurations in the linear model. We reduce the problem of matching of the parameters of the two systems to the intersection theory on the compact moduli space of the latter model. Both cases (2d and 4d) are unified by the notion of the {\it freckled instantons}. We also put an end to the discussion of the nature of the superpotentials $W \sim {\s} {\rm log} {\s}$ in 2d and 4d and discover the surprising disconnectnessness of the effective target space. |
1804.04684 | Angel Rincon | Grigoris Panotopoulos and Angel Rincon | Greybody factors for a minimally coupled scalar field in
three-dimensional Einstein-power-Maxwell black hole background | 6 pages, 3 figures, to appear in: Physical Review D | null | 10.1103/PhysRevD.97.085014 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the present work we study the propagation of a probe minimally coupled
scalar field in Einstein-power-Maxwell charged black hole background in (1+2)
dimensions. We find analytical expressions for the reflection coefficient as
well as for the absorption cross-section in the low energy regime, and we show
graphically their behaviour as functions of the frequency for several values of
the free parameters of the theory.
| [
{
"created": "Thu, 12 Apr 2018 18:33:52 GMT",
"version": "v1"
}
] | 2018-05-09 | [
[
"Panotopoulos",
"Grigoris",
""
],
[
"Rincon",
"Angel",
""
]
] | In the present work we study the propagation of a probe minimally coupled scalar field in Einstein-power-Maxwell charged black hole background in (1+2) dimensions. We find analytical expressions for the reflection coefficient as well as for the absorption cross-section in the low energy regime, and we show graphically their behaviour as functions of the frequency for several values of the free parameters of the theory. |
2112.01234 | Horatiu Stefan Nastase | Horatiu Nastase | Coupling ModMax theory precursor with scalars, and BIon-type solutions | 18 pages, no figures; reference added, reference modified | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently, the most general theory of electromagnetism invariant under duality
and conformal invariance was written, and dubbed ModMax. It arises from a
generalization of Born-Infeld (BI) theory by taking the infinite tension limit,
$T\rightarrow\infty$. In this note we show that this generalization can be
obtained from a brane-like construction, just like BI, and can thus be coupled
to scalars in the same way to obtain a DBI-like action. All the BIon and
catenoid solutions, and their interpolations, are still solutions of the
generalized DBI-like action, suggesting that an interpretation within string
theory could be possible. We also show that Ra\~nada's knotted solutions (with
nonzero helicities) are still valid, both in the ModMax theory, and in its
precursor.
| [
{
"created": "Thu, 2 Dec 2021 13:48:07 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Apr 2022 18:51:49 GMT",
"version": "v2"
},
{
"created": "Mon, 16 May 2022 17:41:56 GMT",
"version": "v3"
}
] | 2022-05-17 | [
[
"Nastase",
"Horatiu",
""
]
] | Recently, the most general theory of electromagnetism invariant under duality and conformal invariance was written, and dubbed ModMax. It arises from a generalization of Born-Infeld (BI) theory by taking the infinite tension limit, $T\rightarrow\infty$. In this note we show that this generalization can be obtained from a brane-like construction, just like BI, and can thus be coupled to scalars in the same way to obtain a DBI-like action. All the BIon and catenoid solutions, and their interpolations, are still solutions of the generalized DBI-like action, suggesting that an interpretation within string theory could be possible. We also show that Ra\~nada's knotted solutions (with nonzero helicities) are still valid, both in the ModMax theory, and in its precursor. |
1902.02313 | Jerzy Lukierski | Jerzy Lukierski and Mariusz Woronowicz | Two $\theta_{\mu \nu }$ -deformed covariant relativistic quantum phase
spaces as Poincare-Hopf algebroids | 16 pages, v2 extended and improved, with title modified | Phys. Rev. D 101, 126003 (2020) | 10.1103/PhysRevD.101.126003 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider two quantum phase spaces which can be described by two Hopf
algebroids linked with the well-known $\theta_{\mu \nu }$-deformed $D=4$
Poincare-Hopf algebra $\mathbb{H}$. The first algebroid describes $\theta_{\mu
\nu }$-deformed relativistic phase space with canonical NC space-time (constant
$\theta_{\mu \nu }$ parameters) and the second one incorporates dual to
$\mathbb{H}$ quantum $\theta_{\mu \nu }$-deformed Poincare-Hopf group algebra
$\mathbb{G}$, which contains noncommutative space-time translations given by
$\Lambda $-dependent $\Theta_{\mu \nu }$ parameters ($% \Lambda $ $\equiv
\Lambda_{\mu \nu }$ parametrize classical Lorentz group). The canonical
$\theta_{\mu \nu }$-deformed space-time algebra and its quantum phase space
extension is covariant under the quantum Poincare transformations described by
$\mathbb{G}$. We will also comment on the use of Hopf algebroids for the
description of multiparticle structures in quantum phase spaces.
| [
{
"created": "Wed, 6 Feb 2019 18:19:09 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Mar 2020 16:20:28 GMT",
"version": "v2"
}
] | 2020-07-01 | [
[
"Lukierski",
"Jerzy",
""
],
[
"Woronowicz",
"Mariusz",
""
]
] | We consider two quantum phase spaces which can be described by two Hopf algebroids linked with the well-known $\theta_{\mu \nu }$-deformed $D=4$ Poincare-Hopf algebra $\mathbb{H}$. The first algebroid describes $\theta_{\mu \nu }$-deformed relativistic phase space with canonical NC space-time (constant $\theta_{\mu \nu }$ parameters) and the second one incorporates dual to $\mathbb{H}$ quantum $\theta_{\mu \nu }$-deformed Poincare-Hopf group algebra $\mathbb{G}$, which contains noncommutative space-time translations given by $\Lambda $-dependent $\Theta_{\mu \nu }$ parameters ($% \Lambda $ $\equiv \Lambda_{\mu \nu }$ parametrize classical Lorentz group). The canonical $\theta_{\mu \nu }$-deformed space-time algebra and its quantum phase space extension is covariant under the quantum Poincare transformations described by $\mathbb{G}$. We will also comment on the use of Hopf algebroids for the description of multiparticle structures in quantum phase spaces. |
1505.05239 | Emil J. Martinec | Emil J. Martinec | Fractionated Branes and Black Hole Interiors | 7 pages, 2 figures | null | 10.1142/S021827181543004X | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Combining a variety of results in string theory and general relativity, a
picture of the black hole interior is developed wherein spacetime caps off at
an inner horizon, and the inter-horizon region is occupied by a Hagedorn gas of
a very low tension state of fractionated branes. This picture leads to natural
resolutions of a variety of puzzles concerning quantum black holes. Gravity
Research Foundation 2015 Fourth Prize Award for Essays on Gravitation.
| [
{
"created": "Wed, 20 May 2015 04:09:29 GMT",
"version": "v1"
}
] | 2015-12-09 | [
[
"Martinec",
"Emil J.",
""
]
] | Combining a variety of results in string theory and general relativity, a picture of the black hole interior is developed wherein spacetime caps off at an inner horizon, and the inter-horizon region is occupied by a Hagedorn gas of a very low tension state of fractionated branes. This picture leads to natural resolutions of a variety of puzzles concerning quantum black holes. Gravity Research Foundation 2015 Fourth Prize Award for Essays on Gravitation. |
hep-th/0310081 | Marco M. Caldarelli | Marco M. Caldarelli and Dietmar Klemm | Supersymmetric Godel-type Universe in four Dimensions | 6 pages, Latex. v2: references and footnote added. v3: introduction
expanded, minor corrections, references added. Final version | Class.Quant.Grav. 21 (2004) L17-L20 | 10.1088/0264-9381/21/4/L03 | IFUM-777-FT | hep-th gr-qc | null | We generalize the classification of all supersymmetric solutions of pure N=2,
D=4 gauged supergravity to the case when external sources are included. It is
shown that the source must be an electrically charged dust. We give a
particular solution to the resulting equations, that describes a Goedel-type
universe preserving one quarter of the supersymmetries.
| [
{
"created": "Wed, 8 Oct 2003 17:07:46 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Oct 2003 17:15:50 GMT",
"version": "v2"
},
{
"created": "Fri, 12 Dec 2003 09:19:27 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Caldarelli",
"Marco M.",
""
],
[
"Klemm",
"Dietmar",
""
]
] | We generalize the classification of all supersymmetric solutions of pure N=2, D=4 gauged supergravity to the case when external sources are included. It is shown that the source must be an electrically charged dust. We give a particular solution to the resulting equations, that describes a Goedel-type universe preserving one quarter of the supersymmetries. |
hep-th/0001165 | Valent | Evgeny Ivanov and Galliano Valent | Quaternionic metrics from harmonic superspace : lagrangian approach and
quotient construction | 34 pages, Latex2e, no figures | Nucl.Phys. B576 (2000) 543-577 | 10.1016/S0550-3213(00)00178-4 | JINR E2-99-340, LPTHE 99-47 | hep-th gr-qc | null | Starting from the most general harmonic superspace action of self-interacting
Q^+ hypermultiplets in the background of N=2 conformal supergravity, we derive
the general action for the bosonic sigma model with a generic 4n dimensional
quaternionic-Kahler (QK) manifold as the target space. The action is determined
by the analytic harmonic QK potential. We find out this action to have two flat
limits. One gives the hyper-Kahler sigma model with a 4n dimensional target
manifold, while another yields a conformally invariant sigma model with 4(n+1)
dimensional hyper-Kahler target. We work out the harmonic superspace version of
the QK quotient construction and use it to give a new derivation of QK
extensions of Taub-NUT and Eguchi-Hanson metrics. We analyze in detail the
geometrical and symmetry structure of the second metric. The QK sigma model
approach allows us to reveal the enhancement of its isometry group to SU(3) or
SU(2,1) at the special relations between its parameters : the Einstein constant
and the "mass".
| [
{
"created": "Tue, 25 Jan 2000 12:22:50 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Ivanov",
"Evgeny",
""
],
[
"Valent",
"Galliano",
""
]
] | Starting from the most general harmonic superspace action of self-interacting Q^+ hypermultiplets in the background of N=2 conformal supergravity, we derive the general action for the bosonic sigma model with a generic 4n dimensional quaternionic-Kahler (QK) manifold as the target space. The action is determined by the analytic harmonic QK potential. We find out this action to have two flat limits. One gives the hyper-Kahler sigma model with a 4n dimensional target manifold, while another yields a conformally invariant sigma model with 4(n+1) dimensional hyper-Kahler target. We work out the harmonic superspace version of the QK quotient construction and use it to give a new derivation of QK extensions of Taub-NUT and Eguchi-Hanson metrics. We analyze in detail the geometrical and symmetry structure of the second metric. The QK sigma model approach allows us to reveal the enhancement of its isometry group to SU(3) or SU(2,1) at the special relations between its parameters : the Einstein constant and the "mass". |
2301.02455 | Jean Alexandre | Jean Alexandre and Drew Backhouse | Null energy condition violation: Tunnelling versus the Casimir effect | 9 pages, 4 figures | null | 10.1103/PhysRevD.107.085022 | KCL-PH-TH/2023-01 | hep-th hep-ph quant-ph | http://creativecommons.org/licenses/by/4.0/ | We show that tunnelling between two degenerate minima, as allowed in a finite
volume, leads to a non-extensive symmetric ground state. This results in Null
Energy Condition violation for sufficiently low temperatures, when a continuous
set of momenta in the box containing the field is assumed. Taking into account
discrete momenta can modify this picture and is achieved via the addition of
the Casimir energy to the tunnelling-induced ground state energy. Focusing on
zero-temperature, these non-trivial effects are found to compete, depending on
the typical length scales involved.
| [
{
"created": "Fri, 6 Jan 2023 10:39:56 GMT",
"version": "v1"
},
{
"created": "Wed, 17 May 2023 11:29:33 GMT",
"version": "v2"
}
] | 2023-05-18 | [
[
"Alexandre",
"Jean",
""
],
[
"Backhouse",
"Drew",
""
]
] | We show that tunnelling between two degenerate minima, as allowed in a finite volume, leads to a non-extensive symmetric ground state. This results in Null Energy Condition violation for sufficiently low temperatures, when a continuous set of momenta in the box containing the field is assumed. Taking into account discrete momenta can modify this picture and is achieved via the addition of the Casimir energy to the tunnelling-induced ground state energy. Focusing on zero-temperature, these non-trivial effects are found to compete, depending on the typical length scales involved. |
1510.07142 | Wu-zhong Guo | Wu-Zhong Guo | Coherent state, local excitation in 2D conformal field theory | references added, correct some mistakes in section 6.2, add an
appendix and more discussions, renew the acknowledgement | null | null | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we discuss the topics concerning the local excitation and
coherent state in 2D CFT. It is shown that the local excitation of primary
operator can be taken as a coherent state of the global conformal group. We
also discuss the entanglement property of such state. For rational CFT the
entanglement entropy between the holomorphic and anti-holomorphic sector of the
local excitation of some primary operator is related to the quantum dimension
of the operator, consistent with previous approach, but by a differentmethod.
We comment on the possible application of so-defined group coherent state in
the holographic view. We also study the coherent state in the free massless
boson field, their time evolution and entanglement property. We introduce the
deformed local excitation and the entangled state constructed by them. It is
shown the violation of Bell inequality for such entangled state.
| [
{
"created": "Sat, 24 Oct 2015 13:04:09 GMT",
"version": "v1"
},
{
"created": "Sun, 13 Dec 2015 07:01:04 GMT",
"version": "v2"
}
] | 2015-12-15 | [
[
"Guo",
"Wu-Zhong",
""
]
] | In this paper we discuss the topics concerning the local excitation and coherent state in 2D CFT. It is shown that the local excitation of primary operator can be taken as a coherent state of the global conformal group. We also discuss the entanglement property of such state. For rational CFT the entanglement entropy between the holomorphic and anti-holomorphic sector of the local excitation of some primary operator is related to the quantum dimension of the operator, consistent with previous approach, but by a differentmethod. We comment on the possible application of so-defined group coherent state in the holographic view. We also study the coherent state in the free massless boson field, their time evolution and entanglement property. We introduce the deformed local excitation and the entangled state constructed by them. It is shown the violation of Bell inequality for such entangled state. |
hep-th/9810167 | Kei-Ichi Kondo | Kei-Ichi Kondo (Chiba Univ.) | Quark Confinement and Deconfinement in QCD from the Viewpoint of
Abelian-Projected Effective Gauge Theory | 14 pages, Latex, version to be published in Phys. Lett. B (two
paragraphs are added in pages 10 and 11.) | Phys.Lett. B455 (1999) 251-258 | 10.1016/S0370-2693(99)00405-0 | CHIBA-EP-109 | hep-th hep-lat hep-ph nucl-th | null | We give another derivation of quark confinement in QCD from the viewpoint of
the low-energy effective Abelian gauge theory of QCD obtained via Abelian
projection. It is based on the recently discovered
Berezinskii-Kosterlitz-Thouless phase transition in the four-dimensional
Abelian gauge theory. Moreover, we show that there exists a critical gauge
coupling constant in QCD, above which confinement set in and below which there
is no confinement. In a SU(N) gauge theory with $N_f$ flavored fermions, we
argue that this leads to a critical value of fermion flavors $N_f^c$ for the
confinement as well as the chiral symmetry breaking, which separates the
deconfinement and chiral symmetric phase. A finite-temperature deconfinement
transition is also discussed briefly.
| [
{
"created": "Thu, 22 Oct 1998 02:30:19 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Apr 1999 08:04:03 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Kondo",
"Kei-Ichi",
"",
"Chiba Univ."
]
] | We give another derivation of quark confinement in QCD from the viewpoint of the low-energy effective Abelian gauge theory of QCD obtained via Abelian projection. It is based on the recently discovered Berezinskii-Kosterlitz-Thouless phase transition in the four-dimensional Abelian gauge theory. Moreover, we show that there exists a critical gauge coupling constant in QCD, above which confinement set in and below which there is no confinement. In a SU(N) gauge theory with $N_f$ flavored fermions, we argue that this leads to a critical value of fermion flavors $N_f^c$ for the confinement as well as the chiral symmetry breaking, which separates the deconfinement and chiral symmetric phase. A finite-temperature deconfinement transition is also discussed briefly. |
1512.01662 | Raju Roychowdhury | Sumanto Chanda, Partha Guha and Raju Roychowdhury | Bianchi-IX, Darboux-Halphen and Chazy-Ramanujan | 25 pages, 1 figure | Int. J. Geom. Methods Mod. Phys. Vol.13 (2016), 1650042 | 10.1142/S0219887816500420 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Bianchi-IX four metrics are $SU(2)$ invariant solutions of vacuum Einstein
equation, for which the connection-wise self-dual case describes the Euler Top,
while the curvature-wise self-dual case yields the Ricci flat classical
Darboux-Halphen system. It is possible to see such a solution exhibiting Ricci
flow. The classical Darboux-Halphen system is a special case of the generalized
one that arises from a reduction of the self-dual Yang-Mills equation and the
solutions to the related homogeneous quadratic differential equations provide
the desired metric. A few integrable and near-integrable dynamical systems
related to the Darboux-Halphen system and occurring in the study of Bianchi IX
gravitational instanton have been listed as well. We explore in details whether
self-duality implies integrability.
| [
{
"created": "Sat, 5 Dec 2015 12:58:54 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Mar 2016 18:21:40 GMT",
"version": "v2"
}
] | 2016-03-15 | [
[
"Chanda",
"Sumanto",
""
],
[
"Guha",
"Partha",
""
],
[
"Roychowdhury",
"Raju",
""
]
] | Bianchi-IX four metrics are $SU(2)$ invariant solutions of vacuum Einstein equation, for which the connection-wise self-dual case describes the Euler Top, while the curvature-wise self-dual case yields the Ricci flat classical Darboux-Halphen system. It is possible to see such a solution exhibiting Ricci flow. The classical Darboux-Halphen system is a special case of the generalized one that arises from a reduction of the self-dual Yang-Mills equation and the solutions to the related homogeneous quadratic differential equations provide the desired metric. A few integrable and near-integrable dynamical systems related to the Darboux-Halphen system and occurring in the study of Bianchi IX gravitational instanton have been listed as well. We explore in details whether self-duality implies integrability. |
2108.10935 | Luca Capizzi | Luca Capizzi, D\'avid X. Horv\'ath, Pasquale Calabrese, and Olalla A.
Castro-Alvaredo | Entanglement of the $3$-State Potts Model via Form Factor Bootstrap:
Total and Symmetry Resolved Entropies | 32 pages, 12 figures | null | 10.1007/JHEP05(2022)113 | null | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we apply the form factor bootstrap approach to branch point
twist fields in the $q$-state Potts model for $q\leq 3$. For $q=3$ this is an
integrable interacting quantum field theory with an internal discrete
$\mathbb{Z}_3$ symmetry and therefore provides an ideal starting point for the
investigation of the symmetry resolved entanglement entropies. However, more
generally, for $q\leq 3$ the standard R\'enyi and entanglement entropies are
also accessible through the bootstrap programme. In our work we present form
factor solutions both for the standard branch point twist field with $q\leq 3$
and for the composite (or symmetry resolved) branch point twist field with
$q=3$. In both cases, the form factor equations are solved for two particles
and the solutions are carefully checked via the $\Delta$-sum rule. Using our
analytic predictions, we compute the leading finite-size corrections to the
entanglement entropy and entanglement equipartition for a single interval in
the ground state.
| [
{
"created": "Tue, 24 Aug 2021 19:59:14 GMT",
"version": "v1"
}
] | 2022-06-01 | [
[
"Capizzi",
"Luca",
""
],
[
"Horváth",
"Dávid X.",
""
],
[
"Calabrese",
"Pasquale",
""
],
[
"Castro-Alvaredo",
"Olalla A.",
""
]
] | In this paper, we apply the form factor bootstrap approach to branch point twist fields in the $q$-state Potts model for $q\leq 3$. For $q=3$ this is an integrable interacting quantum field theory with an internal discrete $\mathbb{Z}_3$ symmetry and therefore provides an ideal starting point for the investigation of the symmetry resolved entanglement entropies. However, more generally, for $q\leq 3$ the standard R\'enyi and entanglement entropies are also accessible through the bootstrap programme. In our work we present form factor solutions both for the standard branch point twist field with $q\leq 3$ and for the composite (or symmetry resolved) branch point twist field with $q=3$. In both cases, the form factor equations are solved for two particles and the solutions are carefully checked via the $\Delta$-sum rule. Using our analytic predictions, we compute the leading finite-size corrections to the entanglement entropy and entanglement equipartition for a single interval in the ground state. |
2010.04020 | Zoltan Peli | Zolt\'an P\'eli | Derivative expansion for computing critical exponents of O(N) symmetric
models at NNLO | 13 pages, 7 figures, 4 tables | Phys. Rev. E 103, 032135 (2021) | 10.1103/PhysRevE.103.032135 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We apply the derivative expansion of the effective action in the exact
renormalization group equation up to fourth order to the $Z_2$ and $O(N)$
symmetric scalar models in $d=3$ Euclidean dimensions. We compute the critical
exponents $\nu$, $\eta$ and $\omega$ using polynomial expansion in the field.
We obtain our predictions for the exponents employing two regulators widely
used in ERG computations. We apply Wynn's epsilon algorithm to improve the
predictions for the critical exponents, extrapolating beyond the
next-to-next-to-leading order prediction of the derivative expansion.
| [
{
"created": "Thu, 8 Oct 2020 14:34:55 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Oct 2020 17:26:51 GMT",
"version": "v2"
},
{
"created": "Wed, 24 Mar 2021 11:55:24 GMT",
"version": "v3"
}
] | 2021-03-31 | [
[
"Péli",
"Zoltán",
""
]
] | We apply the derivative expansion of the effective action in the exact renormalization group equation up to fourth order to the $Z_2$ and $O(N)$ symmetric scalar models in $d=3$ Euclidean dimensions. We compute the critical exponents $\nu$, $\eta$ and $\omega$ using polynomial expansion in the field. We obtain our predictions for the exponents employing two regulators widely used in ERG computations. We apply Wynn's epsilon algorithm to improve the predictions for the critical exponents, extrapolating beyond the next-to-next-to-leading order prediction of the derivative expansion. |
1705.05015 | Soumitra SenGupta | Indrani Banerjee and Soumitra SenGupta | Modulus stabilization in a non-flat warped braneworld scenario | 8 pages, 4 figures | Eur.Phys.J. C77 (2017) no.5, 277 | 10.1140/epjc/s10052-017-4857-y | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The stability of the modular field in a warped brane world scenario has been
a subject of interest for a long time. Goldberger \& Wise ( GW ) proposed a
mechanism to achieve this by invoking a massive scalar field in the bulk
space-time neglecting the back-reaction. In this work, we examine the
possibility of stabilizing the modulus without bringing in any external scalar
field. We show that instead of flat 3-branes as considered in Randall-Sundrum (
RS ) warped braneworld model, if one considers a more generalized version of
warped geometry with de-Sitter 3-brane, then the brane vacuum energy
automatically leads to a modulus potential with a metastable minimum. Our
result further reveals that in this scenario the gauge hierarchy problem can
also be resolved for appropriate choice of brane cosmological constant.
| [
{
"created": "Sun, 14 May 2017 18:56:38 GMT",
"version": "v1"
}
] | 2017-05-24 | [
[
"Banerjee",
"Indrani",
""
],
[
"SenGupta",
"Soumitra",
""
]
] | The stability of the modular field in a warped brane world scenario has been a subject of interest for a long time. Goldberger \& Wise ( GW ) proposed a mechanism to achieve this by invoking a massive scalar field in the bulk space-time neglecting the back-reaction. In this work, we examine the possibility of stabilizing the modulus without bringing in any external scalar field. We show that instead of flat 3-branes as considered in Randall-Sundrum ( RS ) warped braneworld model, if one considers a more generalized version of warped geometry with de-Sitter 3-brane, then the brane vacuum energy automatically leads to a modulus potential with a metastable minimum. Our result further reveals that in this scenario the gauge hierarchy problem can also be resolved for appropriate choice of brane cosmological constant. |
0711.1645 | Usha Kulshreshtha Dr. | Usha Kulshreshtha | Light-Front Quantization of the Nielsen-Olesen (Bogomol'nyi) Model | 4 pages, 0 figures, conference talk | null | null | null | hep-th | null | In this work, I consider the light-front quantization of a class of
Nielsen-Olesen (Bogomol'nyi) models in two-space one-time dimensions in the
so-called symmetry phase using the Hamiltonian, path integral and BRST
formulations.
| [
{
"created": "Sun, 11 Nov 2007 08:50:56 GMT",
"version": "v1"
}
] | 2007-11-13 | [
[
"Kulshreshtha",
"Usha",
""
]
] | In this work, I consider the light-front quantization of a class of Nielsen-Olesen (Bogomol'nyi) models in two-space one-time dimensions in the so-called symmetry phase using the Hamiltonian, path integral and BRST formulations. |
0804.3061 | J. C. Wallet | Eric Cagnache, Thierry Masson and Jean-Christophe Wallet | Noncommutative Yang-Mills-Higgs actions from derivation-based
differential calculus | 23 pages, 2 figures. Improved and enlarged version. Some references
have been added and updated. Two subsections and a discussion on the
appearence of Higgs fiels in noncommutative gauge theories have been added | J. Noncommut. Geom.5:39-67, 2011 | 10.4171/JNCG/69 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Derivations of a noncommutative algebra can be used to construct differential
calculi, the so-called derivation-based differential calculi. We apply this
framework to a version of the Moyal algebra ${\cal{M}}$. We show that the
differential calculus, generated by the maximal subalgebra of the derivation
algebra of ${\cal{M}}$ that can be related to infinitesimal symplectomorphisms,
gives rise to a natural construction of Yang-Mills-Higgs models on ${\cal{M}}$
and a natural interpretation of the covariant coordinates as Higgs fields. We
also compare in detail the main mathematical properties characterizing the
present situation to those specific of two other noncommutative geometries,
namely the finite dimensional matrix algebra $M_n({\mathbb{C}})$ and the
algebra of matrix valued functions $C^\infty(M)\otimes M_n({\mathbb{C}})$. The
UV/IR mixing problem of the resulting Yang-Mills-Higgs models is also
discussed.
| [
{
"created": "Fri, 18 Apr 2008 16:17:03 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Jul 2009 10:56:42 GMT",
"version": "v2"
}
] | 2011-03-04 | [
[
"Cagnache",
"Eric",
""
],
[
"Masson",
"Thierry",
""
],
[
"Wallet",
"Jean-Christophe",
""
]
] | Derivations of a noncommutative algebra can be used to construct differential calculi, the so-called derivation-based differential calculi. We apply this framework to a version of the Moyal algebra ${\cal{M}}$. We show that the differential calculus, generated by the maximal subalgebra of the derivation algebra of ${\cal{M}}$ that can be related to infinitesimal symplectomorphisms, gives rise to a natural construction of Yang-Mills-Higgs models on ${\cal{M}}$ and a natural interpretation of the covariant coordinates as Higgs fields. We also compare in detail the main mathematical properties characterizing the present situation to those specific of two other noncommutative geometries, namely the finite dimensional matrix algebra $M_n({\mathbb{C}})$ and the algebra of matrix valued functions $C^\infty(M)\otimes M_n({\mathbb{C}})$. The UV/IR mixing problem of the resulting Yang-Mills-Higgs models is also discussed. |
hep-th/9501014 | null | A. K. Kapoor and Pankaj Sharan | HAMILTONIAN PATH INTEGRAL QUANTIZATION IN ARBITRARY CO-ORDINATES AND
EXACT PATH INTEGRATION | LATEX, 35 Pages , compile twice to get equation numbers correct, No
Figures. | null | null | MRI-PHY/94/18 | hep-th | null | We briefly review a hamiltonian path integral formalism developed earlier by
one of us. An important feature of this formalism is that the path integral
quantization in arbitrary co-ordinates is set up making use of only classical
hamiltonian without addition of adhoc $\hbar^2$ terms. In this paper we use
this hamiltonian formalism and show how exact path integration may be done for
several potentials.
| [
{
"created": "Thu, 5 Jan 1995 00:12:19 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Kapoor",
"A. K.",
""
],
[
"Sharan",
"Pankaj",
""
]
] | We briefly review a hamiltonian path integral formalism developed earlier by one of us. An important feature of this formalism is that the path integral quantization in arbitrary co-ordinates is set up making use of only classical hamiltonian without addition of adhoc $\hbar^2$ terms. In this paper we use this hamiltonian formalism and show how exact path integration may be done for several potentials. |
hep-th/0310111 | Calin Iuliu Lazaroiu | K. Landsteiner, C. I. Lazaroiu | On Sp(0) factors and orientifolds | 14 pages | Phys.Lett.B588:210-216,2004 | 10.1016/j.physletb.2004.01.046 | IFT-UAM/CSIC-03-41, HU-EP-03/73 | hep-th | null | We discuss the geometric engineering of SO/Sp gauge theories with symmetric
or antisymmetric tensor matter and show that the `mysterious' rank zero gauge
group factors observed by a few authors can be traced back to the effects of an
orientifold which survives the geometric transition. By mapping the Konishi
constraints of such models to those of the U(N) theory with adjoint matter, we
show that the required shifts in the ranks of the unbroken gauge group
components is due to the flux contribution of the orientifold after the
transition.
| [
{
"created": "Sun, 12 Oct 2003 03:20:29 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Landsteiner",
"K.",
""
],
[
"Lazaroiu",
"C. I.",
""
]
] | We discuss the geometric engineering of SO/Sp gauge theories with symmetric or antisymmetric tensor matter and show that the `mysterious' rank zero gauge group factors observed by a few authors can be traced back to the effects of an orientifold which survives the geometric transition. By mapping the Konishi constraints of such models to those of the U(N) theory with adjoint matter, we show that the required shifts in the ranks of the unbroken gauge group components is due to the flux contribution of the orientifold after the transition. |
2405.06564 | Riccardo Travaglino | Riccardo Travaglino, Michele Mazzoni, Olalla A. Castro-Alvaredo | Generalised Hydrodynamics of $\mathrm{T\bar{T}}$-Deformed Integrable
Quantum Field Theories | 34 pages, 3 figures | null | null | null | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we evaluate the averages of conserved densities and currents
associated to charges of generic spin in (1+1)-dimensional massive integrable
Quantum Field Theories perturbed by the irrelevant $\mathrm{T\bar{T}}$
operator. By making use of the Thermodynamic Bethe Ansatz approach and of the
theory of Generalised Hydrodynamics, we study the non-equilibrium steady state
averages of conserved densities and currents in a partitioning protocol. We
show that in particular limits, averages can be evaluated exactly in terms of
quantities known from the unperturbed theory. In the massless limit we recover
known results for the energy and momentum currents and generalise those to any
higher spin conserved quantities. We extend some of our results to
perturbations of the generalised $\mathrm{T\bar{T}}$ type. For the massive free
fermion theory, we find an analytic expression for the effective inverse
temperature after at $\mathrm{T\bar{T}}$ perturbation in terms of the bare
inverse temperature by making use of Lambert's $W$ function.
| [
{
"created": "Fri, 10 May 2024 16:08:33 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Jun 2024 13:19:19 GMT",
"version": "v2"
},
{
"created": "Mon, 22 Jul 2024 10:54:43 GMT",
"version": "v3"
}
] | 2024-07-23 | [
[
"Travaglino",
"Riccardo",
""
],
[
"Mazzoni",
"Michele",
""
],
[
"Castro-Alvaredo",
"Olalla A.",
""
]
] | In this paper we evaluate the averages of conserved densities and currents associated to charges of generic spin in (1+1)-dimensional massive integrable Quantum Field Theories perturbed by the irrelevant $\mathrm{T\bar{T}}$ operator. By making use of the Thermodynamic Bethe Ansatz approach and of the theory of Generalised Hydrodynamics, we study the non-equilibrium steady state averages of conserved densities and currents in a partitioning protocol. We show that in particular limits, averages can be evaluated exactly in terms of quantities known from the unperturbed theory. In the massless limit we recover known results for the energy and momentum currents and generalise those to any higher spin conserved quantities. We extend some of our results to perturbations of the generalised $\mathrm{T\bar{T}}$ type. For the massive free fermion theory, we find an analytic expression for the effective inverse temperature after at $\mathrm{T\bar{T}}$ perturbation in terms of the bare inverse temperature by making use of Lambert's $W$ function. |
0907.0380 | David Vercauteren | D. Dudal, J.A. Gracey, N. Vandersickel, D. Vercauteren, H. Verschelde | The asymmetry of the dimension 2 gluon condensate: the zero temperature
case | 25 pages | Phys.Rev.D80:065017,2009 | 10.1103/PhysRevD.80.065017 | LTH-824 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide an algebraic study of the local composite operators A_\mu
A_\nu-\delta_{\mu\nu}/d A^2 and A^2, with d=4 the spacetime dimension. We prove
that these are separately renormalizable to all orders in the Landau gauge.
This corresponds to a renormalizable decomposition of the operator A_\mu A_\nu
into its trace and traceless part. We present explicit results for the relevant
renormalization group functions to three loop order, accompanied with various
tests of these results. We then develop a formalism to determine the zero
temperature effective potential for the corresponding condensates, and recover
the already known result for <A^2> \neq 0, together with <A_\mu
A_\nu-\delta_{\mu\nu}/d A^2>=0, a nontrivial check that the approach is
consistent with Lorentz symmetry. The formalism is such that it is readily
generalizable to the finite temperature case, which shall allow a future
analytical study of the electric-magnetic symmetry of the <A^2> condensate,
which received strong evidence from recent lattice simulations by Chernodub and
Ilgenfritz, who related their results to 3 regions in the Yang-Mills phase
diagram.
| [
{
"created": "Thu, 2 Jul 2009 13:37:23 GMT",
"version": "v1"
}
] | 2009-11-06 | [
[
"Dudal",
"D.",
""
],
[
"Gracey",
"J. A.",
""
],
[
"Vandersickel",
"N.",
""
],
[
"Vercauteren",
"D.",
""
],
[
"Verschelde",
"H.",
""
]
] | We provide an algebraic study of the local composite operators A_\mu A_\nu-\delta_{\mu\nu}/d A^2 and A^2, with d=4 the spacetime dimension. We prove that these are separately renormalizable to all orders in the Landau gauge. This corresponds to a renormalizable decomposition of the operator A_\mu A_\nu into its trace and traceless part. We present explicit results for the relevant renormalization group functions to three loop order, accompanied with various tests of these results. We then develop a formalism to determine the zero temperature effective potential for the corresponding condensates, and recover the already known result for <A^2> \neq 0, together with <A_\mu A_\nu-\delta_{\mu\nu}/d A^2>=0, a nontrivial check that the approach is consistent with Lorentz symmetry. The formalism is such that it is readily generalizable to the finite temperature case, which shall allow a future analytical study of the electric-magnetic symmetry of the <A^2> condensate, which received strong evidence from recent lattice simulations by Chernodub and Ilgenfritz, who related their results to 3 regions in the Yang-Mills phase diagram. |
0809.4852 | Ioannis Bakas | Ioannis Bakas | Energy-momentum/Cotton tensor duality for AdS4 black holes | 38 pages; minor typos corrected, a few extra references and a note
added | JHEP 0901:003,2009 | 10.1088/1126-6708/2009/01/003 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the theory of gravitational quasi-normal modes for general linear
perturbations of AdS4 black holes. Special emphasis is placed on the effective
Schrodinger problems for axial and polar perturbations that realize
supersymmetric partner potential barriers on the half-line. Using the
holographic renormalization method, we compute the energy-momentum tensor for
perturbations satisfying arbitrary boundary conditions at spatial infinity and
discuss some aspects of the problem in the hydrodynamic representation. It is
also observed in this general framework that the energy-momentum tensor of
black hole perturbations and the energy momentum tensor of the gravitational
Chern-Simons action (known as Cotton tensor) exhibit an axial-polar duality
with respect to appropriately chosen supersymmetric partner boundary conditions
on the effective Schrodinger wave-functions. This correspondence applies to
perturbations of very large AdS4 black holes with shear viscosity to entropy
density ratio equal to 1/4\pi, thus providing a dual graviton description of
their hydrodynamic modes. We also entertain the idea that the purely
dissipative modes of black hole hydrodynamics may admit Ricci flow description
in the non-linear regime.
| [
{
"created": "Sun, 28 Sep 2008 15:57:58 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Dec 2008 15:53:25 GMT",
"version": "v2"
}
] | 2009-01-14 | [
[
"Bakas",
"Ioannis",
""
]
] | We consider the theory of gravitational quasi-normal modes for general linear perturbations of AdS4 black holes. Special emphasis is placed on the effective Schrodinger problems for axial and polar perturbations that realize supersymmetric partner potential barriers on the half-line. Using the holographic renormalization method, we compute the energy-momentum tensor for perturbations satisfying arbitrary boundary conditions at spatial infinity and discuss some aspects of the problem in the hydrodynamic representation. It is also observed in this general framework that the energy-momentum tensor of black hole perturbations and the energy momentum tensor of the gravitational Chern-Simons action (known as Cotton tensor) exhibit an axial-polar duality with respect to appropriately chosen supersymmetric partner boundary conditions on the effective Schrodinger wave-functions. This correspondence applies to perturbations of very large AdS4 black holes with shear viscosity to entropy density ratio equal to 1/4\pi, thus providing a dual graviton description of their hydrodynamic modes. We also entertain the idea that the purely dissipative modes of black hole hydrodynamics may admit Ricci flow description in the non-linear regime. |
1504.04506 | A. Yu. Petrov | M. Gomes, T. Mariz, J. R. Nascimento, A. Yu. Petrov, J. M. Queiruga,
A. J. da Silva | On one-loop corrections in the Horava-Lifshitz-like QED | 21 pages, final version including errata | Phys. Rev. D 92, 065028 (2015) | 10.1103/PhysRevD.92.065028 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the one-loop two point functions of the gauge, scalar and spinor
fields for a Horava-Lifshitz-like QED with critical exponent $z=2$. It turns
out that, in certain cases, the dynamical restoration of the Lorentz symmetry
at low energies can take place. We also analyze the three point vertex function
of the gauge and spinor fields and prove that the triangle anomaly identically
vanishes in this theory.
| [
{
"created": "Fri, 17 Apr 2015 14:01:37 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Sep 2015 22:11:22 GMT",
"version": "v2"
},
{
"created": "Thu, 3 Sep 2015 00:49:24 GMT",
"version": "v3"
},
{
"created": "Tue, 8 Sep 2015 11:36:36 GMT",
"version": "v4"
},
{
"created": "Mon, 23 Nov 2015 16:19:51 GMT",
"version": "v5"
}
] | 2015-11-24 | [
[
"Gomes",
"M.",
""
],
[
"Mariz",
"T.",
""
],
[
"Nascimento",
"J. R.",
""
],
[
"Petrov",
"A. Yu.",
""
],
[
"Queiruga",
"J. M.",
""
],
[
"da Silva",
"A. J.",
""
]
] | We study the one-loop two point functions of the gauge, scalar and spinor fields for a Horava-Lifshitz-like QED with critical exponent $z=2$. It turns out that, in certain cases, the dynamical restoration of the Lorentz symmetry at low energies can take place. We also analyze the three point vertex function of the gauge and spinor fields and prove that the triangle anomaly identically vanishes in this theory. |
hep-th/9907117 | Supriya Kar | Supriya Kar | Generalized Dirichlet Branes and Zero-modes | LaTex, 20 pages, v2: minor changes and added references v3:typos
corrected, some statements are clarified in the context of zero-modes | Int.J.Mod.Phys. A1 (2001) 41-56 | 10.1142/S0217751X01002816 | null | hep-th | null | We investigate the effective dynamics of an arbitrary Dirichlet p-brane, in a
path-integral formalism, by incorporating the massless excitations of closed
string modes in open bosonic string theory. It is shown that the closed string
background fields in the bosonic sector of type II theories induce invariant
extrinsic curvature on the world-volume. In addition, the curvature can be seen
to be associated with a divergence at the boundary of string world-sheet. The
re-normalization of the collective coordinates, next to leading order in its
derivative expansion, is performed to handle the divergence and the effective
dynamics is encoded in Dirac-Born-Infeld action. Furthermore, the collective
dynamics is generalized to include appropriate fermionic partners in type I
super-string theory. The role of string modes is reviewed in terms of the
collective coordinates and the gauge theory on the world-volume is argued to be
non-local in presence of the U(1) invariant field strength.
| [
{
"created": "Thu, 15 Jul 1999 22:02:42 GMT",
"version": "v1"
},
{
"created": "Sun, 25 Jul 1999 18:36:17 GMT",
"version": "v2"
},
{
"created": "Tue, 24 Aug 1999 13:24:06 GMT",
"version": "v3"
}
] | 2015-06-26 | [
[
"Kar",
"Supriya",
""
]
] | We investigate the effective dynamics of an arbitrary Dirichlet p-brane, in a path-integral formalism, by incorporating the massless excitations of closed string modes in open bosonic string theory. It is shown that the closed string background fields in the bosonic sector of type II theories induce invariant extrinsic curvature on the world-volume. In addition, the curvature can be seen to be associated with a divergence at the boundary of string world-sheet. The re-normalization of the collective coordinates, next to leading order in its derivative expansion, is performed to handle the divergence and the effective dynamics is encoded in Dirac-Born-Infeld action. Furthermore, the collective dynamics is generalized to include appropriate fermionic partners in type I super-string theory. The role of string modes is reviewed in terms of the collective coordinates and the gauge theory on the world-volume is argued to be non-local in presence of the U(1) invariant field strength. |
1611.00808 | Yoshiyuki Tatsuta | Tetsutaro Higaki, Yoshiyuki Tatsuta | Inflation from periodic extra dimensions | 21 pages, 6 figures, version accepted in JCAP | null | 10.1088/1475-7516/2017/07/011 | WU-HEP-16-20 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss a realization of a small field inflation based on string inspired
supergravities. In theories accompanying extra dimensions, compactification of
them with small radii is required for realistic situations. Since the extra
dimension can have a periodicity, there will appear (quasi-)periodic functions
under transformations of moduli of the extra dimensions in low energy scales.
Such a periodic property can lead to a UV completion of so-called multi-natural
inflation model where inflaton potential consists of a sum of multiple
sinusoidal functions with a decay constant smaller than the Planck scale. As an
illustration, we construct a SUSY breaking model, and then show that such an
inflaton potential can be generated by a sum of world sheet instantons in
intersecting brane models on extra dimensions containing $T^2/{\mathbb Z}_2$
orbifold. We show also predictions of cosmic observables by numerical analyzes.
| [
{
"created": "Sun, 30 Oct 2016 07:35:03 GMT",
"version": "v1"
},
{
"created": "Sat, 29 Jul 2017 14:55:41 GMT",
"version": "v2"
}
] | 2017-08-01 | [
[
"Higaki",
"Tetsutaro",
""
],
[
"Tatsuta",
"Yoshiyuki",
""
]
] | We discuss a realization of a small field inflation based on string inspired supergravities. In theories accompanying extra dimensions, compactification of them with small radii is required for realistic situations. Since the extra dimension can have a periodicity, there will appear (quasi-)periodic functions under transformations of moduli of the extra dimensions in low energy scales. Such a periodic property can lead to a UV completion of so-called multi-natural inflation model where inflaton potential consists of a sum of multiple sinusoidal functions with a decay constant smaller than the Planck scale. As an illustration, we construct a SUSY breaking model, and then show that such an inflaton potential can be generated by a sum of world sheet instantons in intersecting brane models on extra dimensions containing $T^2/{\mathbb Z}_2$ orbifold. We show also predictions of cosmic observables by numerical analyzes. |
0709.2932 | Kuver Sinha | Kuver Sinha | Stabilizing the Runaway Quiver in Supergravity | 17 pages, no figures, LaTeX | null | null | RUNHETC-2007-15 | hep-th | null | We study stabilizations of the supersymmetry breaking runaway quiver in
string embeddings. Calculations are performed in four dimensional effective
supergravity. Constraints on closed string fields in a type IIA construction
are given. The particular case of stabilization by stringy instanton effects in
a type IIB model is considered.
| [
{
"created": "Tue, 18 Sep 2007 22:46:01 GMT",
"version": "v1"
}
] | 2007-09-20 | [
[
"Sinha",
"Kuver",
""
]
] | We study stabilizations of the supersymmetry breaking runaway quiver in string embeddings. Calculations are performed in four dimensional effective supergravity. Constraints on closed string fields in a type IIA construction are given. The particular case of stabilization by stringy instanton effects in a type IIB model is considered. |
1005.1962 | Klaus Kirsten | L.P. Teo and K. Kirsten | Finite Temperature Casimir Effect in the Presence of Extra Dimensions | To appear in the proceedings of 9th Conference on Quantum Field
Theory under the Influence of External Conditions (QFEXT 09): Devoted to the
Centenary of H. B. G. Casimir, Norman, Oklahoma, 21-25 Sep 2009 | null | 10.1142/9789814289931_0027 | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the finite temperature Casimir force acting on two parallel
plates in a closed cylinder with the same cross section of arbitrary shape in
the presence of extra dimensions. Dirichlet boundary conditions are imposed on
one plate and fractional Neumann conditions with order between zero (Dirichlet)
and one (Neumann) are imposed on the other plate. Formulas for the Casimir
force show that it is always attractive for Dirichlet boundary conditions, and
is always repulsive when the fractional order is larger than 1/2. For some
fractional orders less than 1/2, the Casimir force can be either attractive or
repulsive depending on the size of the internal manifold and temperature.
| [
{
"created": "Tue, 11 May 2010 22:11:24 GMT",
"version": "v1"
}
] | 2017-08-23 | [
[
"Teo",
"L. P.",
""
],
[
"Kirsten",
"K.",
""
]
] | We consider the finite temperature Casimir force acting on two parallel plates in a closed cylinder with the same cross section of arbitrary shape in the presence of extra dimensions. Dirichlet boundary conditions are imposed on one plate and fractional Neumann conditions with order between zero (Dirichlet) and one (Neumann) are imposed on the other plate. Formulas for the Casimir force show that it is always attractive for Dirichlet boundary conditions, and is always repulsive when the fractional order is larger than 1/2. For some fractional orders less than 1/2, the Casimir force can be either attractive or repulsive depending on the size of the internal manifold and temperature. |
1409.0235 | Ashok Das | Ashok K. Das and Pushpa Kalauni | Supersymmetry, shape invariance and the hypergeometric equation | 5 pages | Mod. Phys. Lett, A30, 1550023 (2015) | 10.1142/S0217732315500236 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It has been shown earlier that the solubility of the Legendre and the
associated Legendre equations can be understood as a consequence of an
underlying supersymmetry and shape invariance. We have extended this result to
the hypergeometric equation. Since the hypergeometric equation as well as the
hypergeometric function reduce to various orthogonal polynomials, this study
shows that the solubility of all such systems can also be understood as a
consequence of an underlying supersymmetry and shape invariance. Our analysis
leads naturally to closed form expressions (Rodrigues' formula) for the
orthogonal polynomials.
| [
{
"created": "Sun, 31 Aug 2014 16:44:43 GMT",
"version": "v1"
}
] | 2015-02-06 | [
[
"Das",
"Ashok K.",
""
],
[
"Kalauni",
"Pushpa",
""
]
] | It has been shown earlier that the solubility of the Legendre and the associated Legendre equations can be understood as a consequence of an underlying supersymmetry and shape invariance. We have extended this result to the hypergeometric equation. Since the hypergeometric equation as well as the hypergeometric function reduce to various orthogonal polynomials, this study shows that the solubility of all such systems can also be understood as a consequence of an underlying supersymmetry and shape invariance. Our analysis leads naturally to closed form expressions (Rodrigues' formula) for the orthogonal polynomials. |
hep-th/9411126 | null | Alexander Braverman | On quantum flag algebras | 4 pages; AMS-TeX | null | null | null | hep-th math.QA q-alg | null | Let g be a semisimple Lie algebra over an algebraically closed field k of
characteristic 0. Let V be a simple finite-dimensional g-module and let y\in V
be a highest weight vector. It is a classical result of B. Kostant that the
algebra of functions on the closure of the orbit of y under the simply
connected group which corresponds to g is quadratic (i.e. the closuree of the
orbit is a quadratic cone). In the present paper we extend this result of
Kostant to the case of the quantized universal enveloping algebra U_q(g). The
result uses certain information about spectrum of braiding operators for U_q(g)
due to Reshetikhin and Drinfeld.
| [
{
"created": "Thu, 17 Nov 1994 09:37:33 GMT",
"version": "v1"
}
] | 2008-02-03 | [
[
"Braverman",
"Alexander",
""
]
] | Let g be a semisimple Lie algebra over an algebraically closed field k of characteristic 0. Let V be a simple finite-dimensional g-module and let y\in V be a highest weight vector. It is a classical result of B. Kostant that the algebra of functions on the closure of the orbit of y under the simply connected group which corresponds to g is quadratic (i.e. the closuree of the orbit is a quadratic cone). In the present paper we extend this result of Kostant to the case of the quantized universal enveloping algebra U_q(g). The result uses certain information about spectrum of braiding operators for U_q(g) due to Reshetikhin and Drinfeld. |
hep-th/0508085 | Steven Thomas | Steven Thomas and John Ward | Fuzzy Sphere Dynamics and Non-Abelian DBI in Curved Backgrounds | 49 pages, 3 figures, Latex; Version to appear in JHEP | JHEP 0610 (2006) 039 | 10.1088/1126-6708/2006/10/039 | QMUL-PH-05-11 | hep-th | null | We consider the non-Abelian action for the dynamics of $N Dp'$-branes in the
background of $M Dp$-branes, which parameterises a fuzzy sphere using the SU(2)
algebra. We find that the curved background leads to collapsing solutions for
the fuzzy sphere except when we have $D0$ branes in the $D6$ background, which
is a realisation of the gravitational Myers effect. Furthermore we find the
equations of motion in the Abelian and non-Abelian theories are identical in
the large $N$ limit. By picking a specific ansatz we find that we can
incorporate angular momentum into the action, although this imposes restriction
upon the dimensionality of the background solutions. We also consider the case
of non-Abelian non-BPS branes, and examine the resultant dynamics using
world-volume symmetry transformations. We find that the fuzzy sphere always
collapses but the solutions are sensitive to the combination of the two
conserved charges and we can find expanding solutions with turning points. We
go on to consider the coincident $NS$5-brane background, and again construct
the non-Abelian theory for both BPS and non-BPS branes. In the latter case we
must use symmetry arguments to find additional conserved charges on the
world-volumes to solve the equations of motion. We find that in the Non-BPS
case there is a turning solution for specific regions of the tachyon and radion
fields. Finally we investigate the more general dynamics of fuzzy
$\mathbb{S}^{2k}$ in the $Dp$-brane background, and find collapsing solutions
in all cases.
| [
{
"created": "Thu, 11 Aug 2005 17:12:13 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Oct 2005 16:20:37 GMT",
"version": "v2"
},
{
"created": "Tue, 26 Sep 2006 12:03:47 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"Thomas",
"Steven",
""
],
[
"Ward",
"John",
""
]
] | We consider the non-Abelian action for the dynamics of $N Dp'$-branes in the background of $M Dp$-branes, which parameterises a fuzzy sphere using the SU(2) algebra. We find that the curved background leads to collapsing solutions for the fuzzy sphere except when we have $D0$ branes in the $D6$ background, which is a realisation of the gravitational Myers effect. Furthermore we find the equations of motion in the Abelian and non-Abelian theories are identical in the large $N$ limit. By picking a specific ansatz we find that we can incorporate angular momentum into the action, although this imposes restriction upon the dimensionality of the background solutions. We also consider the case of non-Abelian non-BPS branes, and examine the resultant dynamics using world-volume symmetry transformations. We find that the fuzzy sphere always collapses but the solutions are sensitive to the combination of the two conserved charges and we can find expanding solutions with turning points. We go on to consider the coincident $NS$5-brane background, and again construct the non-Abelian theory for both BPS and non-BPS branes. In the latter case we must use symmetry arguments to find additional conserved charges on the world-volumes to solve the equations of motion. We find that in the Non-BPS case there is a turning solution for specific regions of the tachyon and radion fields. Finally we investigate the more general dynamics of fuzzy $\mathbb{S}^{2k}$ in the $Dp$-brane background, and find collapsing solutions in all cases. |
hep-th/0309117 | Philippe Brax | Ph. Brax and N. Chatillon | Detuned Branes and Supersymmetry Breaking | 25 pages, new section on static solutions, minor changes, final
version | JHEP 0312:026,2003 | 10.1088/1126-6708/2003/12/026 | T03/133 | hep-th | null | We consider the spontaneous breaking of supersymmetry in five dimensional
supergravity with boundaries where the supersymmetry breaking mechanism is
provided by the even part of the bulk prepotential. The supersymmetric action
comprises boundary brane terms with detuned tensions. The two branes have
opposite tensions. We analyse the possible vacua with spontaneously broken
supersymmetry. A class of solutions corresponds to rotated branes in an $AdS_5$
bulk. In particular parallel branes which are rotated with respect to the bulk
preserve 1/4 of supersymmetry. We analyse more general vacua using the low
energy effective action for gravity coupled to the radion field. Supersymmetry
breaking implies that the radion field acquires a potential which is negative
and unbounded from below. This potential is modified when coupling the boundary
branes to a bulk four--form field. For a brane charge larger than the deficit
of brane tension, the radion potential is bounded from below while remaining
flat when the charge equals the deficit of brane tension.
| [
{
"created": "Thu, 11 Sep 2003 10:40:39 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Mar 2004 14:28:54 GMT",
"version": "v2"
}
] | 2010-02-03 | [
[
"Brax",
"Ph.",
""
],
[
"Chatillon",
"N.",
""
]
] | We consider the spontaneous breaking of supersymmetry in five dimensional supergravity with boundaries where the supersymmetry breaking mechanism is provided by the even part of the bulk prepotential. The supersymmetric action comprises boundary brane terms with detuned tensions. The two branes have opposite tensions. We analyse the possible vacua with spontaneously broken supersymmetry. A class of solutions corresponds to rotated branes in an $AdS_5$ bulk. In particular parallel branes which are rotated with respect to the bulk preserve 1/4 of supersymmetry. We analyse more general vacua using the low energy effective action for gravity coupled to the radion field. Supersymmetry breaking implies that the radion field acquires a potential which is negative and unbounded from below. This potential is modified when coupling the boundary branes to a bulk four--form field. For a brane charge larger than the deficit of brane tension, the radion potential is bounded from below while remaining flat when the charge equals the deficit of brane tension. |
2007.00012 | Mario Martone | Philip C. Argyres and Mario Martone | Towards a classification of rank $r$ $\mathcal{N}=2$ SCFTs Part II:
special Kahler stratification of the Coulomb branch | 64 pages, 27 figures, submitted to JHEP | null | 10.1007/JHEP12(2020)022 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the stratification of the singular locus of four dimensional
$\mathcal{N}=2$ Coulomb branches. We present a set of self-consistency
conditions on this stratification which can be used to extend the
classification of scale-invariant rank 1 Coulomb branch geometries to two
complex dimensions, and beyond. The calculational simplicity of the arguments
presented here stems from the fact that the main ingredients needed -- the rank
1 deformation patterns and the pattern of inclusions of rank 2 strata -- are
discrete topological data which satisfy strong self-consistency conditions
through their relationship to the central charges of the SCFT. This
relationship of the stratification data to the central charges is used here,
but is derived and explained in a companion paper by one of the authors. We
illustrate the use of these conditions by re-analyzing many previously-known
examples of rank 2 SCFTs, and also by finding examples of new theories. The
power of these conditions stems from the fact that for Coulomb branch
stratifications a conjecturally complete list of physically allowed "elementary
slices" is known. By contrast, constraining the possible elementary slices of
symplectic singularities relevant for Higgs branch stratifications remains an
open problem.
| [
{
"created": "Tue, 30 Jun 2020 18:00:02 GMT",
"version": "v1"
},
{
"created": "Sat, 1 Aug 2020 21:10:40 GMT",
"version": "v2"
},
{
"created": "Tue, 22 Sep 2020 11:53:09 GMT",
"version": "v3"
}
] | 2020-12-30 | [
[
"Argyres",
"Philip C.",
""
],
[
"Martone",
"Mario",
""
]
] | We study the stratification of the singular locus of four dimensional $\mathcal{N}=2$ Coulomb branches. We present a set of self-consistency conditions on this stratification which can be used to extend the classification of scale-invariant rank 1 Coulomb branch geometries to two complex dimensions, and beyond. The calculational simplicity of the arguments presented here stems from the fact that the main ingredients needed -- the rank 1 deformation patterns and the pattern of inclusions of rank 2 strata -- are discrete topological data which satisfy strong self-consistency conditions through their relationship to the central charges of the SCFT. This relationship of the stratification data to the central charges is used here, but is derived and explained in a companion paper by one of the authors. We illustrate the use of these conditions by re-analyzing many previously-known examples of rank 2 SCFTs, and also by finding examples of new theories. The power of these conditions stems from the fact that for Coulomb branch stratifications a conjecturally complete list of physically allowed "elementary slices" is known. By contrast, constraining the possible elementary slices of symplectic singularities relevant for Higgs branch stratifications remains an open problem. |
hep-th/0310014 | G. S. Krishnaswami | V. John, G. S. Krishnaswami and S. G. Rajeev (University of Rochester) | Parton Model from Bi-local Solitonic Picture of the Baryon in
two-dimensions | 12 pages | Phys.Lett.B492:63-68,2000 | 10.1016/S0370-2693(00)01056-X | null | hep-th | null | We study a previously introduced bi-local gauge invariant reformulation of
two dimensional QCD, called 2d HadronDynamics. The baryon arises as a
topological soliton in HadronDynamics. We derive an interacting parton model
from the soliton model, thus reconciling these two seemingly different points
of view. The valence quark model is obtained as a variational approximation to
HadronDynamics. A succession of better approximations to the soliton picture
are obtained. The next simplest case corresponds to a system of interacting
valence, `sea' and anti-quarks. We also obtain this `embellished' parton model
directly from the valence quark system through a unitary transformation. Using
the solitonic point of view, we estimate the quark and anti-quark distributions
of 2d QCD. Possible applications to Deep Inelastic Structure Functions are
pointed out.
| [
{
"created": "Wed, 1 Oct 2003 22:34:43 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"John",
"V.",
"",
"University of Rochester"
],
[
"Krishnaswami",
"G. S.",
"",
"University of Rochester"
],
[
"Rajeev",
"S. G.",
"",
"University of Rochester"
]
] | We study a previously introduced bi-local gauge invariant reformulation of two dimensional QCD, called 2d HadronDynamics. The baryon arises as a topological soliton in HadronDynamics. We derive an interacting parton model from the soliton model, thus reconciling these two seemingly different points of view. The valence quark model is obtained as a variational approximation to HadronDynamics. A succession of better approximations to the soliton picture are obtained. The next simplest case corresponds to a system of interacting valence, `sea' and anti-quarks. We also obtain this `embellished' parton model directly from the valence quark system through a unitary transformation. Using the solitonic point of view, we estimate the quark and anti-quark distributions of 2d QCD. Possible applications to Deep Inelastic Structure Functions are pointed out. |
2305.11989 | Zbigniew Haba | Z.Haba | Feynman-Kac path integral expansion around the upside-down oscillator | 32 pages | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss path integrals for quantum mechanics with a potential which is a
perturbation of the upside-down oscillator. We express the path integral (in
the real time) by the Wiener measure. We obtain the Feynman integral for
perturbations which are the Fourier-Laplace transforms of a complex measure and
for polynomials of the fotm $x^{4n}$ and $x^{4n+2}$ (where $n$ is a natural
number). We extend the method to quantum field theory (QFT) with complex scaled
spatial coordinates ${\bf x}\rightarrow i{\bf x}$. We show that such a complex
extension of the path integral (in the real time) allows a rigorous path
integral treatment of a large class of potentials including the ones unbounded
from below.
| [
{
"created": "Fri, 19 May 2023 20:19:02 GMT",
"version": "v1"
}
] | 2023-05-23 | [
[
"Haba",
"Z.",
""
]
] | We discuss path integrals for quantum mechanics with a potential which is a perturbation of the upside-down oscillator. We express the path integral (in the real time) by the Wiener measure. We obtain the Feynman integral for perturbations which are the Fourier-Laplace transforms of a complex measure and for polynomials of the fotm $x^{4n}$ and $x^{4n+2}$ (where $n$ is a natural number). We extend the method to quantum field theory (QFT) with complex scaled spatial coordinates ${\bf x}\rightarrow i{\bf x}$. We show that such a complex extension of the path integral (in the real time) allows a rigorous path integral treatment of a large class of potentials including the ones unbounded from below. |
1509.04795 | Mareike Haberichter | Christoph Adam, Mareike Haberichter, Andrzej Wereszczynski | Skyrme models and nuclear matter equation of state | 29 pages, 8 figures; updated to match published version in Phys. Rev.
C | Phys. Rev. C 92, 055807 (2015) | 10.1103/PhysRevC.92.055807 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the role of pressure in a class of generalised Skyrme models.
We introduce pressure as the trace of the spatial part of the energy-momentum
tensor and show that it obeys the usual thermodynamical relation. Then, we
compute analytically the mean-field equation of state in the high and medium
pressure regimes by applying topological bounds on compact domains. The
equation of state is further investigated numerically for the charge one
skyrmions. We identify which term in a generalised Skyrme model is responsible
for which part in the equation of state. Further, we compare our findings with
the corresponding results in the Walecka model.
| [
{
"created": "Wed, 16 Sep 2015 02:51:47 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Dec 2015 08:33:17 GMT",
"version": "v2"
}
] | 2015-12-31 | [
[
"Adam",
"Christoph",
""
],
[
"Haberichter",
"Mareike",
""
],
[
"Wereszczynski",
"Andrzej",
""
]
] | We investigate the role of pressure in a class of generalised Skyrme models. We introduce pressure as the trace of the spatial part of the energy-momentum tensor and show that it obeys the usual thermodynamical relation. Then, we compute analytically the mean-field equation of state in the high and medium pressure regimes by applying topological bounds on compact domains. The equation of state is further investigated numerically for the charge one skyrmions. We identify which term in a generalised Skyrme model is responsible for which part in the equation of state. Further, we compare our findings with the corresponding results in the Walecka model. |
hep-th/0010030 | Nevena Ilieva | N. Ilieva and W. Thirring | Laughlin type wave function for two-dimensional anyon fields in a
KMS-state | 9 pages, LaTeX, comments and references added (version to appear in
Physics Letters B) | Phys.Lett. B504 (2001) 201-206 | 10.1016/S0370-2693(01)00262-3 | UWThPh-2000-39, ESI-944 (2000) | hep-th cond-mat | null | The correlation functions of two-dimensional anyon fields in a KMS-state are
studied. For T=0 the $n$-particle wave functions of noncanonical fermions of
level $\alpha$, $\alpha$ odd, are shown to be of Laughlin type of order
$\alpha$. For $T>0$ they are given by a simple finite-temperature
generalization of Laughlin's wave function. This relates the first and second
quantized pictures of the fractional quantum Hall effect.
| [
{
"created": "Thu, 5 Oct 2000 08:56:10 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Nov 2000 12:59:22 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Ilieva",
"N.",
""
],
[
"Thirring",
"W.",
""
]
] | The correlation functions of two-dimensional anyon fields in a KMS-state are studied. For T=0 the $n$-particle wave functions of noncanonical fermions of level $\alpha$, $\alpha$ odd, are shown to be of Laughlin type of order $\alpha$. For $T>0$ they are given by a simple finite-temperature generalization of Laughlin's wave function. This relates the first and second quantized pictures of the fractional quantum Hall effect. |
hep-th/0310059 | Tetsuya Shiromizu | Tomoko Uesugi, Tetsuya Shiromizu, Takashi Torii, Keitaro Takahashi | D-braneworld cosmology II: Higher order corrections | 6 pages, 4 figures | Phys.Rev. D69 (2004) 043511 | 10.1103/PhysRevD.69.043511 | null | hep-th astro-ph gr-qc hep-ph | null | We investigate braneworld cosmology based on the D-brane initiated in our
previous paper. The brane is described by a Born-Infeld action and the gauge
field is contained. The higher order corrections of an inverse string tension
will be addressed. The results obtained by the truncated argument are altered
by the higher order corrections. The equation of state of the gauge field on
the brane is radiation-like in low energy scales and almost dust-like fluid in
high energy scales. Our model is, however, limited below a critical finite
value of the energy density. For the description of full history of our
universe the presence of a S-brane might be essential.
| [
{
"created": "Tue, 7 Oct 2003 02:21:11 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Uesugi",
"Tomoko",
""
],
[
"Shiromizu",
"Tetsuya",
""
],
[
"Torii",
"Takashi",
""
],
[
"Takahashi",
"Keitaro",
""
]
] | We investigate braneworld cosmology based on the D-brane initiated in our previous paper. The brane is described by a Born-Infeld action and the gauge field is contained. The higher order corrections of an inverse string tension will be addressed. The results obtained by the truncated argument are altered by the higher order corrections. The equation of state of the gauge field on the brane is radiation-like in low energy scales and almost dust-like fluid in high energy scales. Our model is, however, limited below a critical finite value of the energy density. For the description of full history of our universe the presence of a S-brane might be essential. |
hep-th/9403119 | Michael Douglas | Michael R. Douglas | Chern-Simons-Witten Theory as a Topological Fermi Liquid | RU-94-29, 30 pp, 1 figure, harvmac | null | null | null | hep-th | null | We reinterpret U(N) Chern-Simons-Witten theory quantized on a torus as a free
fermion system. Its Hilbert space and some observables are simply related to
those of group quantum mechanics, even at finite N and k. Its large N limit can
be described using techniques developed for matrix quantum mechanics and
two-dimensional Yang-Mills theory. We discuss the bosonization of this theory,
which for YM_2 gave a precise interpretation of Wilson loop operators in terms
of string creation and annihilation operators, and examine its consequences for
a string interpretation here. The formalism seems entirely adequate for the
leading large N results and in a sense can be thought of as a `classical string
field theory'. In considering subleading orders in 1/N, we identify some major
differences between CSW and YM_2, which must be dealt with to find a CSW gauge
string interpretation. Although these particular differences are probably not
relevant for `QCD string,' they do illustrate some of the issues there, and we
comment on this. We also propose an approach to dealing with large N
transitions.
| [
{
"created": "Mon, 21 Mar 1994 16:24:10 GMT",
"version": "v1"
}
] | 2009-09-25 | [
[
"Douglas",
"Michael R.",
""
]
] | We reinterpret U(N) Chern-Simons-Witten theory quantized on a torus as a free fermion system. Its Hilbert space and some observables are simply related to those of group quantum mechanics, even at finite N and k. Its large N limit can be described using techniques developed for matrix quantum mechanics and two-dimensional Yang-Mills theory. We discuss the bosonization of this theory, which for YM_2 gave a precise interpretation of Wilson loop operators in terms of string creation and annihilation operators, and examine its consequences for a string interpretation here. The formalism seems entirely adequate for the leading large N results and in a sense can be thought of as a `classical string field theory'. In considering subleading orders in 1/N, we identify some major differences between CSW and YM_2, which must be dealt with to find a CSW gauge string interpretation. Although these particular differences are probably not relevant for `QCD string,' they do illustrate some of the issues there, and we comment on this. We also propose an approach to dealing with large N transitions. |
hep-th/9902088 | Richard Easther | Richard Easther and David A. Lowe | Holography, Cosmology and the Second Law of Thermodynamics | Latex, 12 pages (v2: reference added) | Phys.Rev.Lett. 82 (1999) 4967-4970 | 10.1103/PhysRevLett.82.4967 | BROWN-HET-1167 | hep-th | null | We propose that in time dependent backgrounds the holographic principle
should be replaced by the generalized second law of thermodynamics. For
isotropic open and flat universes with a fixed equation of state, the
generalized second law agrees with the cosmological holographic principle
proposed by Fischler and Susskind. However, in more complicated spacetimes the
two proposals disagree. A modified form of the holographic bound that applies
to a post-inflationary universe follows from the generalized second law.
However, in a spatially closed universe, or inside a black hole event horizon,
there is no simple relationship that connects the area of a region to the
maximum entropy it can contain.
| [
{
"created": "Thu, 11 Feb 1999 21:16:04 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Feb 1999 00:31:11 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Easther",
"Richard",
""
],
[
"Lowe",
"David A.",
""
]
] | We propose that in time dependent backgrounds the holographic principle should be replaced by the generalized second law of thermodynamics. For isotropic open and flat universes with a fixed equation of state, the generalized second law agrees with the cosmological holographic principle proposed by Fischler and Susskind. However, in more complicated spacetimes the two proposals disagree. A modified form of the holographic bound that applies to a post-inflationary universe follows from the generalized second law. However, in a spatially closed universe, or inside a black hole event horizon, there is no simple relationship that connects the area of a region to the maximum entropy it can contain. |
1004.2063 | Luca Vecchi | Luca Vecchi | The Conformal Window of deformed CFT's in the planar limit | 15 pages PRD class, 2 figures, to be published in PRD | Phys.Rev.D82:045013,2010 | 10.1103/PhysRevD.82.045013 | LA-UR 10-01894 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss in the planar approximation the effect of double-trace
deformations on CFT's. We show that this large class of models posses a
conformal window describing a non-trivial flow between two fixed points of the
renormalization group, and reveal the presence of a resonance which we
associate to the remnant of a dilaton pole. As the conformal window shrinks to
zero measure the theory undergoes a conformal phase transition separating a
symmetric from a nonsymmetric phase. The recently conjectured strongly coupled
branch of non-supersymmetric, non-abelian gauge theories with a large number of
flavors is analyzed in light of these results, and a model for the strong
branch is proposed. Some phenomenological implications in the context of
unparticle physics are also emphasized.
| [
{
"created": "Mon, 12 Apr 2010 21:27:33 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Aug 2010 20:13:23 GMT",
"version": "v2"
}
] | 2014-11-20 | [
[
"Vecchi",
"Luca",
""
]
] | We discuss in the planar approximation the effect of double-trace deformations on CFT's. We show that this large class of models posses a conformal window describing a non-trivial flow between two fixed points of the renormalization group, and reveal the presence of a resonance which we associate to the remnant of a dilaton pole. As the conformal window shrinks to zero measure the theory undergoes a conformal phase transition separating a symmetric from a nonsymmetric phase. The recently conjectured strongly coupled branch of non-supersymmetric, non-abelian gauge theories with a large number of flavors is analyzed in light of these results, and a model for the strong branch is proposed. Some phenomenological implications in the context of unparticle physics are also emphasized. |
2005.07258 | Yifei He | Yifei He, Jesper Lykke Jacobsen, Hubert Saleur | Geometrical four-point functions in the two-dimensional critical
$Q$-state Potts model: The interchiral conformal bootstrap | 53 pages, 30 figures | null | 10.1007/JHEP12(2020)019 | null | hep-th cond-mat.stat-mech math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Based on the spectrum identified in our earlier work [arXiv:1809.02191], we
numerically solve the bootstrap to determine four-point correlation functions
of the geometrical connectivities in the $Q$-state Potts model. Crucial in our
approach is the existence of "interchiral conformal blocks", which arise from
the degeneracy of fields with conformal weight $h_{r,1}$, with
$r\in\mathbb{N}^*$, and are related to the underlying presence of the
"interchiral algebra" introduced in [arXiv:1207.6334]. We also find evidence
for the existence of "renormalized" recursions, replacing those that follow
from the degeneracy of the field $\Phi_{12}^D$ in Liouville theory, and obtain
the first few such recursions in closed form. This hints at the possibility of
the full analytical determination of correlation functions in this model.
| [
{
"created": "Thu, 14 May 2020 21:05:21 GMT",
"version": "v1"
}
] | 2020-12-30 | [
[
"He",
"Yifei",
""
],
[
"Jacobsen",
"Jesper Lykke",
""
],
[
"Saleur",
"Hubert",
""
]
] | Based on the spectrum identified in our earlier work [arXiv:1809.02191], we numerically solve the bootstrap to determine four-point correlation functions of the geometrical connectivities in the $Q$-state Potts model. Crucial in our approach is the existence of "interchiral conformal blocks", which arise from the degeneracy of fields with conformal weight $h_{r,1}$, with $r\in\mathbb{N}^*$, and are related to the underlying presence of the "interchiral algebra" introduced in [arXiv:1207.6334]. We also find evidence for the existence of "renormalized" recursions, replacing those that follow from the degeneracy of the field $\Phi_{12}^D$ in Liouville theory, and obtain the first few such recursions in closed form. This hints at the possibility of the full analytical determination of correlation functions in this model. |
1311.4863 | Cesim K. Dumlu | Cesim K. Dumlu | Vacuum decay and the transmission resonances in space-dependent electric
fields | 11 pages, 5 figures. v2: Revised and extended, to appear in PRD | null | 10.1103/PhysRevD.89.065011 | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the decay of quantum electrodynamical (QED) vacuum in
arbitrary space-dependent electric fields. In particular, we analyze the
resonance peaks of the positron emission spectrum for the external fields with
subcycle structure. For this, we study the transmission probability in the
framework of scattering approach to vacuum pair production. In
under-the-barrier scattering regime, we show that the width of a transmission
resonance can be enhanced when the effective scattering potential contains
multiple wells. Such a broadening in the resonance width corresponds to a
decrease in the tunneling time. This may be relevant for observing the vacuum
decay at shorter timescales before the external field is adiabatically turned
off. In above-the-barrier scattering regime, we give a set of coupled
differential equations for the numerical computation of the Bogoliubov
coefficients.
| [
{
"created": "Tue, 19 Nov 2013 20:27:47 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Feb 2014 20:06:14 GMT",
"version": "v2"
}
] | 2014-03-13 | [
[
"Dumlu",
"Cesim K.",
""
]
] | We investigate the decay of quantum electrodynamical (QED) vacuum in arbitrary space-dependent electric fields. In particular, we analyze the resonance peaks of the positron emission spectrum for the external fields with subcycle structure. For this, we study the transmission probability in the framework of scattering approach to vacuum pair production. In under-the-barrier scattering regime, we show that the width of a transmission resonance can be enhanced when the effective scattering potential contains multiple wells. Such a broadening in the resonance width corresponds to a decrease in the tunneling time. This may be relevant for observing the vacuum decay at shorter timescales before the external field is adiabatically turned off. In above-the-barrier scattering regime, we give a set of coupled differential equations for the numerical computation of the Bogoliubov coefficients. |
1205.6140 | Rob Leigh | Robert G. Leigh, Anastasios C. Petkou and P. Marios Petropoulos | Holographic Fluids with Vorticity and Analogue Gravity | null | null | 10.1007/JHEP11(2012)121 | CPHT-RR002.0112 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study holographic three-dimensional fluids with vorticity in local
equilibrium and discuss their relevance to analogue gravity systems. The
Fefferman-Graham expansion leads to the fluid's description in terms of a
comoving and rotating Papapetrou-Randers frame. A suitable Lorentz
transformation brings the fluid to the non-inertial Zermelo frame, which
clarifies its interpretation as moving media for light/sound propagation. We
apply our general results to the Lorentzian Kerr-AdS_4 and Taub-NUT-AdS_4
geometries that describe fluids in cyclonic and vortex flows respectively. In
the latter case we associate the appearance of closed timelike curves to
analogue optical horizons. In addition, we derive the classical rotational Hall
viscosity of three-dimensional fluids with vorticity. Our formula remarkably
resembles the corresponding result in magnetized plasmas.
| [
{
"created": "Mon, 28 May 2012 15:32:02 GMT",
"version": "v1"
}
] | 2015-06-05 | [
[
"Leigh",
"Robert G.",
""
],
[
"Petkou",
"Anastasios C.",
""
],
[
"Petropoulos",
"P. Marios",
""
]
] | We study holographic three-dimensional fluids with vorticity in local equilibrium and discuss their relevance to analogue gravity systems. The Fefferman-Graham expansion leads to the fluid's description in terms of a comoving and rotating Papapetrou-Randers frame. A suitable Lorentz transformation brings the fluid to the non-inertial Zermelo frame, which clarifies its interpretation as moving media for light/sound propagation. We apply our general results to the Lorentzian Kerr-AdS_4 and Taub-NUT-AdS_4 geometries that describe fluids in cyclonic and vortex flows respectively. In the latter case we associate the appearance of closed timelike curves to analogue optical horizons. In addition, we derive the classical rotational Hall viscosity of three-dimensional fluids with vorticity. Our formula remarkably resembles the corresponding result in magnetized plasmas. |
hep-th/0301161 | Keshav Dasgupta | Katrin Becker, Melanie Becker, Keshav Dasgupta, Paul S. Green | Compactifications of Heterotic Theory on Non-Kahler Complex Manifolds: I | 75 pages, Harvmac, no figures; v2: Some new results added, typos
corrected and references updated. Final version to appear in JHEP | JHEP 0304:007,2003 | 10.1088/1126-6708/2003/04/007 | UMD-PP-03-030, SU-ITP-02/46 | hep-th | null | We study new compactifications of the SO(32) heterotic string theory on
compact complex non-Kahler manifolds. These manifolds have many interesting
features like fewer moduli, torsional constraints, vanishing Euler character
and vanishing first Chern class, which make the four-dimensional theory
phenomenologically attractive. We take a particular compact example studied
earlier and determine various geometrical properties of it. In particular we
calculate the warp factor and study the sigma model description of strings
propagating on these backgrounds. The anomaly cancellation condition and
enhanced gauge symmetry are shown to arise naturally in this framework, if one
considers the effect of singularities carefully.
We then give a detailed mathematical analysis of these manifolds and
construct a large class of them. The existence of a holomorphic (3,0) form is
important for the construction. We clarify some of the topological properties
of these manifolds and evaluate the Betti numbers. We also determine the
superpotential and argue that the radial modulus of these manifolds can
actually be stabilized.
| [
{
"created": "Tue, 21 Jan 2003 23:11:59 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Jan 2003 23:33:10 GMT",
"version": "v2"
},
{
"created": "Mon, 7 Apr 2003 00:45:30 GMT",
"version": "v3"
}
] | 2010-02-03 | [
[
"Becker",
"Katrin",
""
],
[
"Becker",
"Melanie",
""
],
[
"Dasgupta",
"Keshav",
""
],
[
"Green",
"Paul S.",
""
]
] | We study new compactifications of the SO(32) heterotic string theory on compact complex non-Kahler manifolds. These manifolds have many interesting features like fewer moduli, torsional constraints, vanishing Euler character and vanishing first Chern class, which make the four-dimensional theory phenomenologically attractive. We take a particular compact example studied earlier and determine various geometrical properties of it. In particular we calculate the warp factor and study the sigma model description of strings propagating on these backgrounds. The anomaly cancellation condition and enhanced gauge symmetry are shown to arise naturally in this framework, if one considers the effect of singularities carefully. We then give a detailed mathematical analysis of these manifolds and construct a large class of them. The existence of a holomorphic (3,0) form is important for the construction. We clarify some of the topological properties of these manifolds and evaluate the Betti numbers. We also determine the superpotential and argue that the radial modulus of these manifolds can actually be stabilized. |
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