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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2302.11435 | Debarshi Basu | Debarshi Basu, Lavish and Boudhayan Paul | Entanglement negativity in $\text{T}\bar{\text{T}}$-deformed CFT$_2$s | 26 pages, 5 figures, 1 appendix, matches the published version | Phys. Rev. D 107, 126026 (2023) | 10.1103/PhysRevD.107.126026 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We apply a suitable replica technique to develop a perturbative expression
for the entanglement negativity of bipartite mixed states in
T$\overline{\text{T}}$-deformed CFT$_2$s up to the first order in the
deformation parameter. Utilizing our perturbative construction we compute the
entanglement negativity for various bipartite mixed states involving two
disjoint intervals, two adjacent intervals, and a single interval in a
T$\overline{\text{T}}$-deformed CFT$_2$ at a finite temperature, in the large
central charge limit. Subsequently, we advance appropriate holographic
constructions to compute the entanglement negativity for such bipartite states
in T$\overline{\text{T}}$-deformed thermal CFT$_2$s dual to BTZ black holes in
a finite cut-off bulk geometry and find agreement with the corresponding field
theoretic results in the limit of small deformation parameter.
| [
{
"created": "Wed, 22 Feb 2023 15:17:12 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Aug 2023 17:49:45 GMT",
"version": "v2"
}
] | 2023-08-28 | [
[
"Basu",
"Debarshi",
""
],
[
"Lavish",
"",
""
],
[
"Paul",
"Boudhayan",
""
]
] | We apply a suitable replica technique to develop a perturbative expression for the entanglement negativity of bipartite mixed states in T$\overline{\text{T}}$-deformed CFT$_2$s up to the first order in the deformation parameter. Utilizing our perturbative construction we compute the entanglement negativity for various bipartite mixed states involving two disjoint intervals, two adjacent intervals, and a single interval in a T$\overline{\text{T}}$-deformed CFT$_2$ at a finite temperature, in the large central charge limit. Subsequently, we advance appropriate holographic constructions to compute the entanglement negativity for such bipartite states in T$\overline{\text{T}}$-deformed thermal CFT$_2$s dual to BTZ black holes in a finite cut-off bulk geometry and find agreement with the corresponding field theoretic results in the limit of small deformation parameter. |
hep-th/0406051 | Nathan Berkovits | Nathan Berkovits and Edward Witten | Conformal Supergravity in Twistor-String Theory | 43 pages harvmac tex, added footnote to introduction | JHEP 0408:009,2004 | 10.1088/1126-6708/2004/08/009 | IFT-P.019/2004 | hep-th | null | Conformal supergravity arises in presently known formulations of
twistor-string theory either via closed strings or via gauge-singlet open
strings. We explore this sector of twistor-string theory, relating the relevant
string modes to the particles and fields of conformal supergravity. We also use
the twistor-string theory to compute some tree level scattering amplitudes with
supergravitons, and compare to expectations from conformal supergravity. Since
the supergravitons interact with the same coupling constant as the Yang-Mills
fields, conformal supergravity states will contribute to loop amplitudes of
Yang-Mills gluons in these theories. Those loop amplitudes will therefore not
coincide with the loop amplitudes of pure super Yang-Mills theory.
| [
{
"created": "Fri, 4 Jun 2004 16:59:15 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Jul 2004 21:36:01 GMT",
"version": "v2"
}
] | 2010-04-07 | [
[
"Berkovits",
"Nathan",
""
],
[
"Witten",
"Edward",
""
]
] | Conformal supergravity arises in presently known formulations of twistor-string theory either via closed strings or via gauge-singlet open strings. We explore this sector of twistor-string theory, relating the relevant string modes to the particles and fields of conformal supergravity. We also use the twistor-string theory to compute some tree level scattering amplitudes with supergravitons, and compare to expectations from conformal supergravity. Since the supergravitons interact with the same coupling constant as the Yang-Mills fields, conformal supergravity states will contribute to loop amplitudes of Yang-Mills gluons in these theories. Those loop amplitudes will therefore not coincide with the loop amplitudes of pure super Yang-Mills theory. |
1302.3262 | Julien Serreau | Julien Serreau and Renaud Parentani | Nonperturbative resummation of de Sitter infrared logarithms in the
large-N limit | 19 pages, 4 figures; References added, typos corrected, published
version (PRD) | null | 10.1103/PhysRevD.87.085012 | null | hep-th gr-qc hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the O(N) scalar field theory with quartic self-coupling in de Sitter
space. When the field is light in units of the expansion rate, perturbative
methods break down at very low momenta due to large infrared logarithmic terms.
Using the nonperturbative large-N limit, we compute the four-point vertex
function in the deep infrared regime. The resummation of an infinite series of
perturbative (bubble) diagrams leads to a modified power law which is analogous
to the generation of an anomalous dimension in critical phenomena. We discuss
in detail the role of high momentum (subhorizon) modes, including the issue of
renormalization, and show that they influence the dynamics of infrared
(superhorizon) modes only through a constant renormalization factor. This
provides an explicit example of effective decoupling between high and low
energy physics in an expanding space-time.
| [
{
"created": "Wed, 13 Feb 2013 22:20:24 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Apr 2013 20:11:32 GMT",
"version": "v2"
}
] | 2015-06-15 | [
[
"Serreau",
"Julien",
""
],
[
"Parentani",
"Renaud",
""
]
] | We study the O(N) scalar field theory with quartic self-coupling in de Sitter space. When the field is light in units of the expansion rate, perturbative methods break down at very low momenta due to large infrared logarithmic terms. Using the nonperturbative large-N limit, we compute the four-point vertex function in the deep infrared regime. The resummation of an infinite series of perturbative (bubble) diagrams leads to a modified power law which is analogous to the generation of an anomalous dimension in critical phenomena. We discuss in detail the role of high momentum (subhorizon) modes, including the issue of renormalization, and show that they influence the dynamics of infrared (superhorizon) modes only through a constant renormalization factor. This provides an explicit example of effective decoupling between high and low energy physics in an expanding space-time. |
1004.4836 | Patrick K. S. Vaudrevange | Patrick K. S. Vaudrevange | An involuted orbifold MSSM | To appear in the proceedings of 9th Hellenic School and Workshops on
Elementary Particle Physics and Gravity (CORFU 2009), Corfu, Greece, 30 Aug -
20 Sep 2009. | null | 10.1002/prop.201000046 | LMU-ASC 22/10 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A compactification of the E_8 x E_8 heterotic string on a Z_2 x Z_2 orbifold
equipped with an additional freely acting involution is presented. This model
reproduces the exact chiral MSSM spectrum with matter parity and a non-trivial
Yukawa structure. The key ingredient is a freely acting Wilson line associated
to the involution, breaking SU(5) to SU(3) x SU(2) x U(1)_Y. This work is based
on a talk given at the "9th Hellenic School and Workshop on Elementary Particle
Physics and Gravity" and reviews the results of a collaboration with M.
Blaszczyk, S. Groot Nibbelink, M. Ratz, F. Ruehle and M. Trapletti.
| [
{
"created": "Tue, 27 Apr 2010 15:31:28 GMT",
"version": "v1"
}
] | 2015-05-18 | [
[
"Vaudrevange",
"Patrick K. S.",
""
]
] | A compactification of the E_8 x E_8 heterotic string on a Z_2 x Z_2 orbifold equipped with an additional freely acting involution is presented. This model reproduces the exact chiral MSSM spectrum with matter parity and a non-trivial Yukawa structure. The key ingredient is a freely acting Wilson line associated to the involution, breaking SU(5) to SU(3) x SU(2) x U(1)_Y. This work is based on a talk given at the "9th Hellenic School and Workshop on Elementary Particle Physics and Gravity" and reviews the results of a collaboration with M. Blaszczyk, S. Groot Nibbelink, M. Ratz, F. Ruehle and M. Trapletti. |
2303.17495 | Jerzy Kowalski-Glikman | Laurent Freidel, Jerzy Kowalski-Glikman, Robert G. Leigh and Djordje
Minic | On the Inevitable Lightness of Vacuum | 9 pages. Essay written for the Gravity Research Foundation 2023
Awards for Essays on Gravitation | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this essay, we present a new understanding of the cosmological constant
problem, built upon the realization that the vacuum energy density can be
expressed in terms of a phase space volume. We introduce a UV-IR regularization
which implies a relationship between the vacuum energy and entropy. Combining
this insight with the holographic bound on entropy then yields a bound on the
cosmological constant consistent with observations. It follows that the
universe is large, and the cosmological constant is naturally small, because
the universe is filled with a large number of degrees of freedom.
| [
{
"created": "Thu, 30 Mar 2023 16:05:39 GMT",
"version": "v1"
}
] | 2023-03-31 | [
[
"Freidel",
"Laurent",
""
],
[
"Kowalski-Glikman",
"Jerzy",
""
],
[
"Leigh",
"Robert G.",
""
],
[
"Minic",
"Djordje",
""
]
] | In this essay, we present a new understanding of the cosmological constant problem, built upon the realization that the vacuum energy density can be expressed in terms of a phase space volume. We introduce a UV-IR regularization which implies a relationship between the vacuum energy and entropy. Combining this insight with the holographic bound on entropy then yields a bound on the cosmological constant consistent with observations. It follows that the universe is large, and the cosmological constant is naturally small, because the universe is filled with a large number of degrees of freedom. |
1011.4191 | Yasuhiro Yamamoto | Satoshi Iso, Yasuhiro Yamamoto, Sen Zhang | Stochastic Analysis of an Accelerated Charged Particle -Transverse
Fluctuations- | 35 pages, 3 figures, published version | Phys.Rev.D84:025005,2011 | 10.1103/PhysRevD.84.025005 | KEK-TH-1373 | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An accelerated particle sees the Minkowski vacuum as thermally excited, and
the particle moves stochastically due to an interaction with the thermal bath.
This interaction fluctuates the particle's transverse momenta like the Brownian
motion in a heat bath. Because of this fluctuating motion, it has been
discussed that the accelerated charged particle emits extra radiation (the
Unruh radiation) in addition to the classical Larmor radiation, and experiments
are under planning to detect such radiation by using ultrahigh intensity lasers
constructed in near future. There are, however, counterarguments that the
radiation is canceled by an interference effect between the vacuum fluctuation
and the fluctuating motion. In fact, in the case of an internal detector where
the Heisenberg equation of motion can be solved exactly, there is no additional
radiation after the thermalization is completed. In this paper, we revisit the
issue in the case of an accelerated charged particle in the scalar-field analog
of QED. We prove the equipartition theorem of transverse momenta by
investigating a stochastic motion of the particle, and show that the Unruh
radiation is partially canceled by an interference effect.
| [
{
"created": "Thu, 18 Nov 2010 13:57:16 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Dec 2010 11:08:59 GMT",
"version": "v2"
},
{
"created": "Tue, 7 Jun 2011 11:56:49 GMT",
"version": "v3"
},
{
"created": "Thu, 7 Jul 2011 04:06:27 GMT",
"version": "v4"
}
] | 2015-03-17 | [
[
"Iso",
"Satoshi",
""
],
[
"Yamamoto",
"Yasuhiro",
""
],
[
"Zhang",
"Sen",
""
]
] | An accelerated particle sees the Minkowski vacuum as thermally excited, and the particle moves stochastically due to an interaction with the thermal bath. This interaction fluctuates the particle's transverse momenta like the Brownian motion in a heat bath. Because of this fluctuating motion, it has been discussed that the accelerated charged particle emits extra radiation (the Unruh radiation) in addition to the classical Larmor radiation, and experiments are under planning to detect such radiation by using ultrahigh intensity lasers constructed in near future. There are, however, counterarguments that the radiation is canceled by an interference effect between the vacuum fluctuation and the fluctuating motion. In fact, in the case of an internal detector where the Heisenberg equation of motion can be solved exactly, there is no additional radiation after the thermalization is completed. In this paper, we revisit the issue in the case of an accelerated charged particle in the scalar-field analog of QED. We prove the equipartition theorem of transverse momenta by investigating a stochastic motion of the particle, and show that the Unruh radiation is partially canceled by an interference effect. |
1304.7252 | Lorenzo Bianchi | Lorenzo Bianchi, Valentina Forini, Anatoly V. Kotikov | On DIS Wilson coefficients in N = 4 super Yang-Mills theory | 11 pages; v2: corrected eqq. (3.12) and (3.13), paragraph on large j
exponentiation added, corrected misprint in eq. (3.22), references added | null | 10.1016/j.physletb.2013.07.013 | HU-EP-13/19 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note we evaluate Wilson coefficients for "deep inelastic scattering"
(DIS) in N=4 SYM theory at NLO in perturbation theory, using as a probe an
R-symmetry conserved current. They exhibit uniform transcendentality and
coincide with the piece of highest transcendentality in the corresponding QCD
Wilson coefficients. We extract from the QCD result a NNLO prediction for the
N=4 SYM Wilson coefficient, and comment on the features of its Regge limit
asymptotics.
| [
{
"created": "Fri, 26 Apr 2013 18:37:43 GMT",
"version": "v1"
},
{
"created": "Wed, 22 May 2013 15:59:49 GMT",
"version": "v2"
}
] | 2015-06-15 | [
[
"Bianchi",
"Lorenzo",
""
],
[
"Forini",
"Valentina",
""
],
[
"Kotikov",
"Anatoly V.",
""
]
] | In this note we evaluate Wilson coefficients for "deep inelastic scattering" (DIS) in N=4 SYM theory at NLO in perturbation theory, using as a probe an R-symmetry conserved current. They exhibit uniform transcendentality and coincide with the piece of highest transcendentality in the corresponding QCD Wilson coefficients. We extract from the QCD result a NNLO prediction for the N=4 SYM Wilson coefficient, and comment on the features of its Regge limit asymptotics. |
0906.0530 | Jean-Luc Lehners | Jean-Luc Lehners and S\'ebastien Renaux-Petel | Multifield Cosmological Perturbations at Third Order and the Ekpyrotic
Trispectrum | 36 pages, 5 figures, replaced with published version | Phys.Rev.D80:063503,2009 | 10.1103/PhysRevD.80.063503 | null | hep-th astro-ph.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the covariant formalism, we derive the equations of motion for
adiabatic and entropy perturbations at third order in perturbation theory for
cosmological models involving two scalar fields. We use these equations to
calculate the trispectrum of ekpyrotic and cyclic models in which the density
perturbations are generated via the entropic mechanism. In these models, the
conversion of entropy into curvature perturbations occurs just before the big
bang, either during the ekpyrotic phase or during the subsequent kinetic energy
dominated phase. In both cases, we find that the non-linearity parameters
f_{NL} and g_{NL} combine to leave a very distinct observational imprint.
| [
{
"created": "Tue, 2 Jun 2009 16:40:56 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Sep 2009 18:51:31 GMT",
"version": "v2"
}
] | 2011-03-10 | [
[
"Lehners",
"Jean-Luc",
""
],
[
"Renaux-Petel",
"Sébastien",
""
]
] | Using the covariant formalism, we derive the equations of motion for adiabatic and entropy perturbations at third order in perturbation theory for cosmological models involving two scalar fields. We use these equations to calculate the trispectrum of ekpyrotic and cyclic models in which the density perturbations are generated via the entropic mechanism. In these models, the conversion of entropy into curvature perturbations occurs just before the big bang, either during the ekpyrotic phase or during the subsequent kinetic energy dominated phase. In both cases, we find that the non-linearity parameters f_{NL} and g_{NL} combine to leave a very distinct observational imprint. |
hep-th/0702117 | Michele Redi | Gia Dvali, Oriol Pujolas and Michele Redi | Consistent Lorentz Violation in Flat and Curved Space | 19 pages, 1 figure. References added, discussion on stability
expanded | Phys.Rev.D76:044028,2007 | 10.1103/PhysRevD.76.044028 | null | hep-th hep-ph | null | Motivated by the severity of the bounds on Lorentz violation in the presence
of ordinary gravity, we study frameworks in which Lorentz violation does not
affect the spacetime geometry. We show that there are at least two inequivalent
classes of spontaneous Lorentz breaking that even in the presence of gravity
result in Minkowski space. The first one generically corresponds to the
condensation of tensor fields with tachyonic mass which in turn is related to
ghost-condensation. In the second class, realized by the DGP model or theories
of massive gravitons, spontaneous Lorentz breaking is induced by the
expectation value of sources. The generalization to de-Sitter space is also
discussed.
| [
{
"created": "Thu, 15 Feb 2007 20:26:28 GMT",
"version": "v1"
},
{
"created": "Sun, 18 Mar 2007 23:08:04 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Dvali",
"Gia",
""
],
[
"Pujolas",
"Oriol",
""
],
[
"Redi",
"Michele",
""
]
] | Motivated by the severity of the bounds on Lorentz violation in the presence of ordinary gravity, we study frameworks in which Lorentz violation does not affect the spacetime geometry. We show that there are at least two inequivalent classes of spontaneous Lorentz breaking that even in the presence of gravity result in Minkowski space. The first one generically corresponds to the condensation of tensor fields with tachyonic mass which in turn is related to ghost-condensation. In the second class, realized by the DGP model or theories of massive gravitons, spontaneous Lorentz breaking is induced by the expectation value of sources. The generalization to de-Sitter space is also discussed. |
1709.09160 | Yichen Huang | Yichen Huang and Yingfei Gu | Eigenstate entanglement in the Sachdev-Ye-Kitaev model | null | Physical Review D 100 (4), 041901 (Rapid Communication), 2019 | 10.1103/PhysRevD.100.041901 | null | hep-th cond-mat.stat-mech cond-mat.str-el quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the entanglement entropy of eigenstates (including the ground state)
of the Sachdev-Ye-Kitaev model. We argue for a volume law, whose coefficient
can be calculated analytically from the density of states. The coefficient
depends on not only the energy density of the eigenstate but also the subsystem
size. Very recent numerical results of Liu, Chen, and Balents confirm our
analytical results.
| [
{
"created": "Tue, 26 Sep 2017 17:55:18 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Jul 2019 22:58:45 GMT",
"version": "v2"
}
] | 2020-04-02 | [
[
"Huang",
"Yichen",
""
],
[
"Gu",
"Yingfei",
""
]
] | We study the entanglement entropy of eigenstates (including the ground state) of the Sachdev-Ye-Kitaev model. We argue for a volume law, whose coefficient can be calculated analytically from the density of states. The coefficient depends on not only the energy density of the eigenstate but also the subsystem size. Very recent numerical results of Liu, Chen, and Balents confirm our analytical results. |
1603.04668 | Sergei Kuzenko | Sergei M. Kuzenko and Daniel X. Ogburn | Off-shell higher spin N=2 supermultiplets in three dimensions | 34 pages; V2: typos corrected, references and two appendices added,
42 pages; V3: abstract modified, references and comments added | Phys. Rev. D 94, 106010 (2016) | 10.1103/PhysRevD.94.106010 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Off-shell higher spin N=2 supermultiplets in three spacetime dimensions (3D)
are presented in this paper. We propose gauge prepotentials for higher spin
superconformal gravity and construct the corresponding gauge-invariant field
strengths, which are proved to be conformal primary superfields. These field
strengths are higher spin generalisations of the (linearised) N=2 super-Cotton
tensor, which controls the superspace geometry of conformal supergravity. We
also construct the higher spin extensions of the linearised N=2 conformal
supergravity action. We provide two dually equivalent off-shell formulations
for massless higher spin N=2 supermultiplets. They involve one and the same
superconformal prepotential but differ in the compensators used. For the lowest
superspin value 3/2, these higher spin series terminate at the linearised
actions for the (1,1) minimal and w=-1 non-minimal N=2 Poincar\'e supergravity
theories constructed in arXiv:1109.0496. Similar to the pure 3D supergravity
actions, their higher spin counterparts propagate no degrees of freedom.
However, the massless higher spin supermultiplets are used to construct
off-shell massive N=2 supermultiplets by combining the massless actions with
those describing higher spin extensions of the linearised N=2 conformal
supergravity. We also demonstrate that every higher spin super-Cotton tensor
can be represented as a linear superposition of the equations of motion for the
corresponding massless higher spin supermultiplet,with the coefficients being
higher-derivative linear operators.
| [
{
"created": "Tue, 15 Mar 2016 12:54:27 GMT",
"version": "v1"
},
{
"created": "Sat, 23 Jul 2016 13:13:33 GMT",
"version": "v2"
},
{
"created": "Tue, 27 Sep 2016 14:18:25 GMT",
"version": "v3"
}
] | 2016-11-30 | [
[
"Kuzenko",
"Sergei M.",
""
],
[
"Ogburn",
"Daniel X.",
""
]
] | Off-shell higher spin N=2 supermultiplets in three spacetime dimensions (3D) are presented in this paper. We propose gauge prepotentials for higher spin superconformal gravity and construct the corresponding gauge-invariant field strengths, which are proved to be conformal primary superfields. These field strengths are higher spin generalisations of the (linearised) N=2 super-Cotton tensor, which controls the superspace geometry of conformal supergravity. We also construct the higher spin extensions of the linearised N=2 conformal supergravity action. We provide two dually equivalent off-shell formulations for massless higher spin N=2 supermultiplets. They involve one and the same superconformal prepotential but differ in the compensators used. For the lowest superspin value 3/2, these higher spin series terminate at the linearised actions for the (1,1) minimal and w=-1 non-minimal N=2 Poincar\'e supergravity theories constructed in arXiv:1109.0496. Similar to the pure 3D supergravity actions, their higher spin counterparts propagate no degrees of freedom. However, the massless higher spin supermultiplets are used to construct off-shell massive N=2 supermultiplets by combining the massless actions with those describing higher spin extensions of the linearised N=2 conformal supergravity. We also demonstrate that every higher spin super-Cotton tensor can be represented as a linear superposition of the equations of motion for the corresponding massless higher spin supermultiplet,with the coefficients being higher-derivative linear operators. |
1208.6341 | Nobuyuki Sawado | T\'erence Delsate, Masahiro Hayasaka and Nobuyuki Sawado | Non-axisymmetric baby-skyrmion branes | 14 pages, 14 figures | null | 10.1103/PhysRevD.86.125009 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the existence of non axisymmetric solutions in the
6-dimensional baby-Skyrme brane model. The brane is described by a localized
solution to the baby-Skyrme model extending in the extra dimensions. Such non
symmetric branes have already been constructed in the original 2+1-dimensional
baby-Skyrme model in flat space. We generalize this result to the case of
gravitating baby-Skyrme and in the context of extradimensions. These
non-trivial deformation from the axisymmetric shape appear for higher values of
the topological charge, so we consider the cases of $B=3,4$, where $B$ is the
topological charge. We solve the coupled system of the Einstein and baby-Skyrme
equations by successive over relaxation method. We argue that the result may be
a possible resolution for the fermion mass hierarchy puzzle.
| [
{
"created": "Fri, 31 Aug 2012 00:51:26 GMT",
"version": "v1"
}
] | 2015-06-11 | [
[
"Delsate",
"Térence",
""
],
[
"Hayasaka",
"Masahiro",
""
],
[
"Sawado",
"Nobuyuki",
""
]
] | We investigate the existence of non axisymmetric solutions in the 6-dimensional baby-Skyrme brane model. The brane is described by a localized solution to the baby-Skyrme model extending in the extra dimensions. Such non symmetric branes have already been constructed in the original 2+1-dimensional baby-Skyrme model in flat space. We generalize this result to the case of gravitating baby-Skyrme and in the context of extradimensions. These non-trivial deformation from the axisymmetric shape appear for higher values of the topological charge, so we consider the cases of $B=3,4$, where $B$ is the topological charge. We solve the coupled system of the Einstein and baby-Skyrme equations by successive over relaxation method. We argue that the result may be a possible resolution for the fermion mass hierarchy puzzle. |
0911.3544 | Patrick Kerner | Johanna Erdmenger, Constantin Greubel, Matthias Kaminski, Patrick
Kerner, Karl Landsteiner and Francisco Pena-Benitez | Quasinormal modes of massive charged flavor branes | 56 pages, 40 figures | JHEP 1003:117,2010 | 10.1007/JHEP03(2010)117 | IFT-UAM/CSIC-09-43, MPP-2009-162, PUPT-2315 | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present an analysis and classification of vector and scalar fluctuations
in a D3/D7 brane setup at finite termperature and baryon density. The system is
dual to an N=2 supersymmetric Yang-Mills theory with SU(N_c) gauge group and
N_f hypermultiplets in the fundamental representation in the quenched
approximation. We improve significantly over previous results on the
quasinormal mode spectrum of D7 branes and stress their novel physical
interpretation. Amongst our findings is a new purely imaginary scalar mode that
becomes tachyonic at sufficiently low temperature and baryon density. We
establish the existence of a critical density above which the scalar mode stays
in the stable regime for all temperatures. In the vector sector we study the
crossover from the hydrodynamic to the quasiparticle regime and find that it
moves to shorter wavelengths for lower temperatures. At zero baryon density the
quasinormal modes move toward distinct discrete attractor frequencies that
depend on the momentum as we increase the temperature. At finite baryon
density, however, the trajectories show a turning behavior such that for low
temperature the quasinormal mode spectrum approaches the spectrum of the
supersymmetric zero temperature normal modes. We interpret this as resolution
of the singular quasinormal mode spectrum that appears at the limiting D7 brane
embedding at vanishing baryon density.
| [
{
"created": "Tue, 17 Nov 2009 22:04:08 GMT",
"version": "v1"
}
] | 2010-04-08 | [
[
"Erdmenger",
"Johanna",
""
],
[
"Greubel",
"Constantin",
""
],
[
"Kaminski",
"Matthias",
""
],
[
"Kerner",
"Patrick",
""
],
[
"Landsteiner",
"Karl",
""
],
[
"Pena-Benitez",
"Francisco",
""
]
] | We present an analysis and classification of vector and scalar fluctuations in a D3/D7 brane setup at finite termperature and baryon density. The system is dual to an N=2 supersymmetric Yang-Mills theory with SU(N_c) gauge group and N_f hypermultiplets in the fundamental representation in the quenched approximation. We improve significantly over previous results on the quasinormal mode spectrum of D7 branes and stress their novel physical interpretation. Amongst our findings is a new purely imaginary scalar mode that becomes tachyonic at sufficiently low temperature and baryon density. We establish the existence of a critical density above which the scalar mode stays in the stable regime for all temperatures. In the vector sector we study the crossover from the hydrodynamic to the quasiparticle regime and find that it moves to shorter wavelengths for lower temperatures. At zero baryon density the quasinormal modes move toward distinct discrete attractor frequencies that depend on the momentum as we increase the temperature. At finite baryon density, however, the trajectories show a turning behavior such that for low temperature the quasinormal mode spectrum approaches the spectrum of the supersymmetric zero temperature normal modes. We interpret this as resolution of the singular quasinormal mode spectrum that appears at the limiting D7 brane embedding at vanishing baryon density. |
0810.3364 | Vladimir Rochev | V.E. Rochev | Properties of predictive formulation of the Nambu-Jona-Lasinio model and
ghost problem | Journal version (8 pages, no figures) | J.Phys.A42:195403,2009 | 10.1088/1751-8113/42/19/195403 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently proposed by Battistel et al. "predictive formulation of the NJL
model" is discussed and its connection with the differential regularization is
noted. The principal problem of this formulation is a non-physical singularity
(Landau pole) in meson propagators. A modification of the formulation, which is
free of the Landau pole and conserves main features of the approach, is
proposed.
| [
{
"created": "Sun, 19 Oct 2008 06:59:30 GMT",
"version": "v1"
},
{
"created": "Mon, 18 May 2009 09:21:28 GMT",
"version": "v2"
}
] | 2009-05-18 | [
[
"Rochev",
"V. E.",
""
]
] | Recently proposed by Battistel et al. "predictive formulation of the NJL model" is discussed and its connection with the differential regularization is noted. The principal problem of this formulation is a non-physical singularity (Landau pole) in meson propagators. A modification of the formulation, which is free of the Landau pole and conserves main features of the approach, is proposed. |
1411.6645 | Robert Shrock | Gongjun Choi and Robert Shrock | New Scheme Transformations and Application to Study Scheme Dependence of
an Infrared Zero of the Beta Function in Gauge Theories | 13 pages, latex | Phys. Rev. D90, 125029 (2014) | 10.1103/PhysRevD.90.125029 | YITP-SB-2014-38 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present two new one-parameter families of scheme transformations and apply
these to study the scheme dependence of the infrared zero in the beta function
of an asymptotically free non-Abelian gauge theory up to four-loop order. Our
results provide a further quantitative measure of this scheme dependence,
showing that for moderate values of the gauge coupling and the parameter
specifying the scheme transformation, this dependence is relatively mild. We
also remark on a generalized multi-parameter family of rational scheme
transformations.
| [
{
"created": "Mon, 24 Nov 2014 21:13:22 GMT",
"version": "v1"
}
] | 2015-01-05 | [
[
"Choi",
"Gongjun",
""
],
[
"Shrock",
"Robert",
""
]
] | We present two new one-parameter families of scheme transformations and apply these to study the scheme dependence of the infrared zero in the beta function of an asymptotically free non-Abelian gauge theory up to four-loop order. Our results provide a further quantitative measure of this scheme dependence, showing that for moderate values of the gauge coupling and the parameter specifying the scheme transformation, this dependence is relatively mild. We also remark on a generalized multi-parameter family of rational scheme transformations. |
1110.3554 | Francisco Diego Mazzitelli | Francisco D. Mazzitelli, Jean Paul Nery, and Alejandro Satz | Boundary divergences in vacuum self-energies and quantum field theory in
curved spacetime | 9 pages, 1 figure | null | 10.1103/PhysRevD.84.125008 | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is well known that boundary conditions on quantum fields produce
divergences in the renormalized energy-momentum tensor near the boundaries.
Although irrelevant for the computation of Casimir forces between different
bodies, the self-energy couples to gravity, and the divergences may, in
principle, generate large gravitational effects. We present an analysis of the
problem in the context of quantum field theory in curved spaces. Our model
consists of a quantum scalar field coupled to a classical field that, in a
certain limit, imposes Dirichlet boundary conditions on the quantum field. We
show that the model is renormalizable and that the divergences in the
renormalized energy-momentum tensor disappear for sufficiently smooth
interfaces.
| [
{
"created": "Mon, 17 Oct 2011 01:51:14 GMT",
"version": "v1"
}
] | 2015-05-30 | [
[
"Mazzitelli",
"Francisco D.",
""
],
[
"Nery",
"Jean Paul",
""
],
[
"Satz",
"Alejandro",
""
]
] | It is well known that boundary conditions on quantum fields produce divergences in the renormalized energy-momentum tensor near the boundaries. Although irrelevant for the computation of Casimir forces between different bodies, the self-energy couples to gravity, and the divergences may, in principle, generate large gravitational effects. We present an analysis of the problem in the context of quantum field theory in curved spaces. Our model consists of a quantum scalar field coupled to a classical field that, in a certain limit, imposes Dirichlet boundary conditions on the quantum field. We show that the model is renormalizable and that the divergences in the renormalized energy-momentum tensor disappear for sufficiently smooth interfaces. |
hep-th/9706039 | Jeffrey Harvey | Jeffrey A. Harvey | Spin Dependence of D0-brane Interactions | 6 pages, latex, no figures, talk presented at STRINGS97, substantial
revisions in results and conclusions | Nucl.Phys.Proc.Suppl. 68 (1998) 113-118 | 10.1016/S0920-5632(98)00145-5 | EFI-97-25 | hep-th | null | The long-range, spin-dependent forces between D0-branes are related to
long-range fundamental string interactions using duality. These interactions
can then be computed by taking the long distance non-relativistic expansion of
string four-point amplitudes. The results are in accord with the general
constraints of Matrix Theory.
| [
{
"created": "Thu, 5 Jun 1997 21:41:42 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Jun 1997 10:20:43 GMT",
"version": "v2"
},
{
"created": "Thu, 4 Sep 1997 20:31:43 GMT",
"version": "v3"
}
] | 2009-10-30 | [
[
"Harvey",
"Jeffrey A.",
""
]
] | The long-range, spin-dependent forces between D0-branes are related to long-range fundamental string interactions using duality. These interactions can then be computed by taking the long distance non-relativistic expansion of string four-point amplitudes. The results are in accord with the general constraints of Matrix Theory. |
2301.06703 | Shu Lin | Shu Lin, Yanyan Bu and Chang Lei | Non-Gaussianity from Schwinger-Keldysh Effective Field Theory | 9 pages, 8 figures, published version | null | null | null | hep-th cond-mat.stat-mech nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a systematic treatment of non-Gaussianity in stochastic systems
using the Schwinger-Keldysh effective field theory framework, in which the
non-Gaussianity is realized as nonlinear terms in the fluctuation field. We
establish two stochastic formulations of the Schwinger-Keldysh effective field
theory, with those nonlinear terms manifested as multiple non-Gaussian noises
in the Langevin equation and as higher order diffusive terms in the
Fokker-Planck equation. The equivalence of the stochastic formulations with the
original Schwinger-Keldysh effective field theory is demonstrated with
non-trivial examples for arbitrary non-Gaussian parameters. The stochastic
formulations will be more flexible and effective in studying non-equilibrium
dynamics. We also reveal an ambiguity when coarse-graining time scale and
non-Gaussian parameters vanish simultaneously, which may be responsible for the
unphysical divergence found in perturbative analysis.
| [
{
"created": "Tue, 17 Jan 2023 05:00:57 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Feb 2024 10:35:45 GMT",
"version": "v2"
}
] | 2024-02-15 | [
[
"Lin",
"Shu",
""
],
[
"Bu",
"Yanyan",
""
],
[
"Lei",
"Chang",
""
]
] | We present a systematic treatment of non-Gaussianity in stochastic systems using the Schwinger-Keldysh effective field theory framework, in which the non-Gaussianity is realized as nonlinear terms in the fluctuation field. We establish two stochastic formulations of the Schwinger-Keldysh effective field theory, with those nonlinear terms manifested as multiple non-Gaussian noises in the Langevin equation and as higher order diffusive terms in the Fokker-Planck equation. The equivalence of the stochastic formulations with the original Schwinger-Keldysh effective field theory is demonstrated with non-trivial examples for arbitrary non-Gaussian parameters. The stochastic formulations will be more flexible and effective in studying non-equilibrium dynamics. We also reveal an ambiguity when coarse-graining time scale and non-Gaussian parameters vanish simultaneously, which may be responsible for the unphysical divergence found in perturbative analysis. |
1603.05272 | Hossein Yavartanoo | M.M. Sheikh-Jabbari and H. Yavartanoo | On 3d Bulk Geometry of Virasoro Coadjoint Orbits: Orbit invariant
charges and Virasoro hair on locally AdS3 geometries | 36 pages, 4 figures, minor modification, references added | Eur.Phys.J. C76 no.9, 493, (2016) | 10.1140/epjc/s10052-016-4326-z | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Expanding upon [arXiv:1404.4472, 1511.06079], we provide further detailed
analysis of Ba\~nados geometries, the most general solutions to the AdS3
Einstein gravity with Brown-Henneaux boundary conditions. We analyze in some
detail the causal, horizon and boundary structure, and geodesic motion on these
geometries, as well as the two class of symplectic charges one can associate
with these geometries: charges associated with the exact symmetries and the
Virasoro charges. We elaborate further the one-to-one relation between the
coadjoint orbits of two copies of Virasoro group and Ba\~nados geometries. We
discuss that the information about the Ba\~nados goemetries fall into two
categories: "orbit invariant" information and "Virasoro hairs". The former are
geometric quantities while the latter are specified by the non-local surface
integrals. We elaborate on multi-BTZ geometries which have some number of
disconnected pieces at the horizon bifurcation curve. We study multi-BTZ black
hole thermodynamics and discuss that the thermodynamic quantities are orbit
invariants. We also comment on the implications of our analysis for a 2d CFT
dual which could possibly be dual to AdS3 Einstein gravity.
| [
{
"created": "Wed, 16 Mar 2016 20:43:07 GMT",
"version": "v1"
},
{
"created": "Sun, 24 Jul 2016 17:11:36 GMT",
"version": "v2"
}
] | 2018-01-16 | [
[
"Sheikh-Jabbari",
"M. M.",
""
],
[
"Yavartanoo",
"H.",
""
]
] | Expanding upon [arXiv:1404.4472, 1511.06079], we provide further detailed analysis of Ba\~nados geometries, the most general solutions to the AdS3 Einstein gravity with Brown-Henneaux boundary conditions. We analyze in some detail the causal, horizon and boundary structure, and geodesic motion on these geometries, as well as the two class of symplectic charges one can associate with these geometries: charges associated with the exact symmetries and the Virasoro charges. We elaborate further the one-to-one relation between the coadjoint orbits of two copies of Virasoro group and Ba\~nados geometries. We discuss that the information about the Ba\~nados goemetries fall into two categories: "orbit invariant" information and "Virasoro hairs". The former are geometric quantities while the latter are specified by the non-local surface integrals. We elaborate on multi-BTZ geometries which have some number of disconnected pieces at the horizon bifurcation curve. We study multi-BTZ black hole thermodynamics and discuss that the thermodynamic quantities are orbit invariants. We also comment on the implications of our analysis for a 2d CFT dual which could possibly be dual to AdS3 Einstein gravity. |
2302.13490 | Ashoke Sen | Ashoke Sen | Revisiting localization for BPS black hole entropy | LaTeX file, 36 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Macroscopic computation of the degeneracy / index of a BPS black hole
requires carrying out string theory path integral over the near horizon
geometry of the black hole. It has been suggested that the path integral can be
localized to a finite dimensional subspace using the unbroken supersymmetries
of the near horizon geometry. We discuss several issues that need to be
resolved before one can declare victory: (1) delta-function normalizable
eigenmodes of the kinetic operator do not form a representation of the
supersymmetry algebra since the Killing spinors grow exponentially as we
approach the asymptotic boundary of the near horizon geometry, (2) the
logarithmic contributions coming from various one loop determinants are
sensitive to the ultraviolet cut-off and therefore without detailed knowledge
of the ultraviolet cut-off one cannot determine the order one correction to the
entropy that could depend on the ratios of the charges, (3) the results of
index theorem indicate that there are additional flat directions of the
localization action, at least at the quadratic order, than what has been
considered so far. We also discuss a limited application of localization
techniques to carry out the path integral over the zero modes of the metric and
the gravitino, and get a finite answer. This is consistent with the results of
arXiv:0905.2686 and shows that for computing BPS black hole entropy it is not
necessary to regulate the path integral over these zero modes using the
super-Schwartzian action.
| [
{
"created": "Mon, 27 Feb 2023 03:10:40 GMT",
"version": "v1"
}
] | 2023-02-28 | [
[
"Sen",
"Ashoke",
""
]
] | Macroscopic computation of the degeneracy / index of a BPS black hole requires carrying out string theory path integral over the near horizon geometry of the black hole. It has been suggested that the path integral can be localized to a finite dimensional subspace using the unbroken supersymmetries of the near horizon geometry. We discuss several issues that need to be resolved before one can declare victory: (1) delta-function normalizable eigenmodes of the kinetic operator do not form a representation of the supersymmetry algebra since the Killing spinors grow exponentially as we approach the asymptotic boundary of the near horizon geometry, (2) the logarithmic contributions coming from various one loop determinants are sensitive to the ultraviolet cut-off and therefore without detailed knowledge of the ultraviolet cut-off one cannot determine the order one correction to the entropy that could depend on the ratios of the charges, (3) the results of index theorem indicate that there are additional flat directions of the localization action, at least at the quadratic order, than what has been considered so far. We also discuss a limited application of localization techniques to carry out the path integral over the zero modes of the metric and the gravitino, and get a finite answer. This is consistent with the results of arXiv:0905.2686 and shows that for computing BPS black hole entropy it is not necessary to regulate the path integral over these zero modes using the super-Schwartzian action. |
0902.1247 | Mario Martone | A. P. Balachandran and M. Martone | Twisted Quantum Fields on Moyal and Wick-Voros Planes are Inequivalent | 12 pages | Mod.Phys.Lett.A24:1721-1730,2009 | 10.1142/S0217732309031156 | SU-4252-882 | hep-th gr-qc math-ph math.MP math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Moyal and Wick-Voros planes A^{M,V}_{\theta} are *-isomorphic. On each of
these planes the Poincar\'e group acts as a Hopf algebra symmetry if its
coproducts are deformed by twist factors. We show that the *-isomorphism T:
A^M_{\theta} to A^V_{\theta} does not also map the corresponding twists of the
Poincar\'e group algebra. The quantum field theories on these planes with
twisted Poincar\'e-Hopf symmetries are thus inequivalent. We explicitly verify
this result by showing that a non-trivial dependence on the non-commutative
parameter is present for the Wick-Voros plane in a self-energy diagram whereas
it is known to be absent on the Moyal plane (in the absence of gauge fields).
Our results differ from these of (arXiv:0810.2095 [hep-th]) because of
differences in the treatments of quantum field theories.
| [
{
"created": "Sat, 7 Feb 2009 16:16:12 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Feb 2009 15:28:23 GMT",
"version": "v2"
},
{
"created": "Mon, 16 Feb 2009 22:24:30 GMT",
"version": "v3"
},
{
"created": "Sun, 12 Apr 2009 20:36:58 GMT",
"version": "v4"
}
] | 2009-08-20 | [
[
"Balachandran",
"A. P.",
""
],
[
"Martone",
"M.",
""
]
] | The Moyal and Wick-Voros planes A^{M,V}_{\theta} are *-isomorphic. On each of these planes the Poincar\'e group acts as a Hopf algebra symmetry if its coproducts are deformed by twist factors. We show that the *-isomorphism T: A^M_{\theta} to A^V_{\theta} does not also map the corresponding twists of the Poincar\'e group algebra. The quantum field theories on these planes with twisted Poincar\'e-Hopf symmetries are thus inequivalent. We explicitly verify this result by showing that a non-trivial dependence on the non-commutative parameter is present for the Wick-Voros plane in a self-energy diagram whereas it is known to be absent on the Moyal plane (in the absence of gauge fields). Our results differ from these of (arXiv:0810.2095 [hep-th]) because of differences in the treatments of quantum field theories. |
hep-th/0306001 | Anton Kapustin | Anton Kapustin, Yi Li | D-branes in Topological Minimal Models: the Landau-Ginzburg Approach | 29 pages, latex | JHEP 0407:045,2004 | 10.1088/1126-6708/2004/07/045 | null | hep-th | null | We study D-branes in topologically twisted N=2 minimal models using the
Landau-Ginzburg realization. In the cases of A and D-type minimal models we
provide what we believe is an exhaustive list of topological branes and compute
the corresponding boundary OPE algebras as well as all disk correlators. We
also construct examples of topological branes in E-type minimal models. We
compare our results with the boundary state formalism, where possible, and find
agreement.
| [
{
"created": "Sat, 31 May 2003 00:26:04 GMT",
"version": "v1"
}
] | 2010-02-03 | [
[
"Kapustin",
"Anton",
""
],
[
"Li",
"Yi",
""
]
] | We study D-branes in topologically twisted N=2 minimal models using the Landau-Ginzburg realization. In the cases of A and D-type minimal models we provide what we believe is an exhaustive list of topological branes and compute the corresponding boundary OPE algebras as well as all disk correlators. We also construct examples of topological branes in E-type minimal models. We compare our results with the boundary state formalism, where possible, and find agreement. |
hep-th/0104252 | Joseph Manjavidze | J.Manjavidze | Topology and perturbation theory | 29 pages, LaTex, no figures | J.Math.Phys. 41 (2000) 5710-5734 | 10.1063/1.533434 | J. Math. Phys.,41 (2000) 5710 | hep-th | null | Paper contains description of the fields nonlinear modes successive
quantization scheme. It is shown that the path integrals for absorption part of
amplitudes are defined on the Dirac ($\d$-like) functional measure. This
permits arbitrary transformation of the functional integral variables. New form
of the perturbation theory achieved by mapping the quantum dynamics in the
space $W_G$ of the ({\it action, angle})-type collective variables. It is shown
that the transformed perturbation theory contributions are accumulated exactly
on the boundary $\pa W_G$. Abilities of the developed formalism are illustrated
by the Coulomb problem. This model is solved in the $W_C$=({\it angle, angular
momentum, Runge-Lentz vector}) space and the reason of its exact integrability
is `emptiness' of $\pa W_C$.
| [
{
"created": "Sun, 29 Apr 2001 09:46:17 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Manjavidze",
"J.",
""
]
] | Paper contains description of the fields nonlinear modes successive quantization scheme. It is shown that the path integrals for absorption part of amplitudes are defined on the Dirac ($\d$-like) functional measure. This permits arbitrary transformation of the functional integral variables. New form of the perturbation theory achieved by mapping the quantum dynamics in the space $W_G$ of the ({\it action, angle})-type collective variables. It is shown that the transformed perturbation theory contributions are accumulated exactly on the boundary $\pa W_G$. Abilities of the developed formalism are illustrated by the Coulomb problem. This model is solved in the $W_C$=({\it angle, angular momentum, Runge-Lentz vector}) space and the reason of its exact integrability is `emptiness' of $\pa W_C$. |
hep-th/0505110 | Edmund Copeland | Edmund J. Copeland and P.M. Saffin | On the evolution of cosmic-superstring networks | Extra references added showing constraints on cosmic superstrings, 7
pages, 7 figures | JHEP0511:023,2005 | 10.1088/1126-6708/2005/11/023 | null | hep-th astro-ph | null | We model the behaviour of a network of interacting (p,q) strings from IIB
string theory by considering a field theory containing multiple species of
string, allowing us to study the effect of non-intercommuting events due to two
different species crossing each other. This then has the potential for a string
dominated Universe with the network becoming so tangled that it freezes. We
give numerical evidence, explained by a one-scale model, that such freezing
does not take place, with the network reaching a scaling limit where its
density relative to the background increases with N, the number of string
types.
| [
{
"created": "Thu, 12 May 2005 12:06:54 GMT",
"version": "v1"
},
{
"created": "Wed, 25 May 2005 11:26:08 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Copeland",
"Edmund J.",
""
],
[
"Saffin",
"P. M.",
""
]
] | We model the behaviour of a network of interacting (p,q) strings from IIB string theory by considering a field theory containing multiple species of string, allowing us to study the effect of non-intercommuting events due to two different species crossing each other. This then has the potential for a string dominated Universe with the network becoming so tangled that it freezes. We give numerical evidence, explained by a one-scale model, that such freezing does not take place, with the network reaching a scaling limit where its density relative to the background increases with N, the number of string types. |
1709.05128 | Angnis Schmidt-May | N.L. Gonzalez Albornoz, Angnis Schmidt-May and Mikael von Strauss | Dark matter scenarios with multiple spin-2 fields | 30 pages, 4 figures; comments of referee implemented, matches
published version | null | 10.1088/1475-7516/2018/01/014 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study ghost-free multimetric theories for $(N+1)$ tensor fields with a
coupling to matter and maximal global symmetry group $S_N\times(Z_2)^N$. Their
mass spectra contain a massless mode, the graviton, and $N$ massive spin-2
modes. One of the massive modes is distinct by being the heaviest, the
remaining $(N-1)$ massive modes are simply identical copies of each other. All
relevant physics can therefore be understood from the case $N=2$. Focussing on
this case, we compute the full perturbative action up to cubic order and derive
several features that hold to all orders in perturbation theory. The lighter
massive mode does not couple to matter and neither of the massive modes decay
into massless gravitons. We propose the lighter massive particle as a candidate
for dark matter and investigate its phenomenology in the parameter region where
the matter coupling is dominated by the massless graviton. The relic density of
massive spin-2 can originate from a freeze-in mechanism or from gravitational
particle production, giving rise to two different dark matter scenarios. The
allowed parameter regions are very different from those in scenarios with only
one massive spin-2 field and more accessible to experiments.
| [
{
"created": "Fri, 15 Sep 2017 09:45:21 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Feb 2018 05:16:59 GMT",
"version": "v2"
}
] | 2018-02-22 | [
[
"Albornoz",
"N. L. Gonzalez",
""
],
[
"Schmidt-May",
"Angnis",
""
],
[
"von Strauss",
"Mikael",
""
]
] | We study ghost-free multimetric theories for $(N+1)$ tensor fields with a coupling to matter and maximal global symmetry group $S_N\times(Z_2)^N$. Their mass spectra contain a massless mode, the graviton, and $N$ massive spin-2 modes. One of the massive modes is distinct by being the heaviest, the remaining $(N-1)$ massive modes are simply identical copies of each other. All relevant physics can therefore be understood from the case $N=2$. Focussing on this case, we compute the full perturbative action up to cubic order and derive several features that hold to all orders in perturbation theory. The lighter massive mode does not couple to matter and neither of the massive modes decay into massless gravitons. We propose the lighter massive particle as a candidate for dark matter and investigate its phenomenology in the parameter region where the matter coupling is dominated by the massless graviton. The relic density of massive spin-2 can originate from a freeze-in mechanism or from gravitational particle production, giving rise to two different dark matter scenarios. The allowed parameter regions are very different from those in scenarios with only one massive spin-2 field and more accessible to experiments. |
1706.09381 | Gustav Mogull | Henrik Johansson, Gregor K\"alin and Gustav Mogull | Two-loop supersymmetric QCD and half-maximal supergravity amplitudes | 53 pages, 5 figures, 1 table + appendices, ancillary files; v2
published version | null | 10.1007/JHEP09(2017)019 | UUITP-19/17 , NORDITA 2017-062, Edinburgh 2017/12 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the duality between color and kinematics, we construct two-loop
four-point scattering amplitudes in $\mathcal{N}=2$ super-Yang-Mills (SYM)
theory coupled to $N_f$ fundamental hypermultiplets. Our results are valid in
$D\le 6$ dimensions, where the upper bound corresponds to six-dimensional
chiral $\mathcal{N}=(1,0)$ SYM theory. By exploiting a close connection with
$\mathcal{N}=4$ SYM theory - and, equivalently, six-dimensional
$\mathcal{N}=(1,1)$ SYM theory - we find compact integrands with
four-dimensional external vectors in both the maximally-helicity-violating
(MHV) and all-chiral-vector sectors. Via the double-copy construction
corresponding $D$-dimensional half-maximal supergravity amplitudes with
external graviton multiplets are obtained in the MHV and all-chiral sectors.
Appropriately tuning $N_f$ enables us to consider both pure and matter-coupled
supergravity, with arbitrary numbers of vector multiplets in $D=4$. As a bonus,
we obtain the integrands of the genuinely six-dimensional supergravities with
$\mathcal{N}=(1,1)$ and $\mathcal{N}=(2,0)$ supersymmetry. Finally, we extract
the potential ultraviolet divergence of half-maximal supergravity in
$D=5-2\epsilon$ and show that it non-trivially cancels out as expected.
| [
{
"created": "Wed, 28 Jun 2017 17:47:24 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Aug 2017 14:48:45 GMT",
"version": "v2"
}
] | 2017-09-20 | [
[
"Johansson",
"Henrik",
""
],
[
"Kälin",
"Gregor",
""
],
[
"Mogull",
"Gustav",
""
]
] | Using the duality between color and kinematics, we construct two-loop four-point scattering amplitudes in $\mathcal{N}=2$ super-Yang-Mills (SYM) theory coupled to $N_f$ fundamental hypermultiplets. Our results are valid in $D\le 6$ dimensions, where the upper bound corresponds to six-dimensional chiral $\mathcal{N}=(1,0)$ SYM theory. By exploiting a close connection with $\mathcal{N}=4$ SYM theory - and, equivalently, six-dimensional $\mathcal{N}=(1,1)$ SYM theory - we find compact integrands with four-dimensional external vectors in both the maximally-helicity-violating (MHV) and all-chiral-vector sectors. Via the double-copy construction corresponding $D$-dimensional half-maximal supergravity amplitudes with external graviton multiplets are obtained in the MHV and all-chiral sectors. Appropriately tuning $N_f$ enables us to consider both pure and matter-coupled supergravity, with arbitrary numbers of vector multiplets in $D=4$. As a bonus, we obtain the integrands of the genuinely six-dimensional supergravities with $\mathcal{N}=(1,1)$ and $\mathcal{N}=(2,0)$ supersymmetry. Finally, we extract the potential ultraviolet divergence of half-maximal supergravity in $D=5-2\epsilon$ and show that it non-trivially cancels out as expected. |
2110.06041 | Vladimir V Belokurov | Vladimir V. Belokurov and Evgeniy T. Shavgulidze | Path Integrals in Quadratic Gravity | 19 pages | null | 10.1007/JHEP02(2022)112 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the invariance of Quadratic Gravity in FLRW metric under the group of
diffeomorphisms of the time coordinate, we rewrite the action $A$ of the theory
in terms of the invariant dynamical variable $g(\tau)\,.$
We propose to consider the path integrals $\int\,F(g)\,\exp\left\{-A
\right\}dg$ as the integrals over the functional measure
$\mu(g)=\exp\left\{-A_{2} \right\}dg\,,\ $ where $A_{2}$ is the part of the
action $A$ quadratic in $R\,.$ The rest part of the action stands in the
exponent in the integrand as the "interaction" term. We prove the measure
$\mu(g)$ to be equivalent to the Wiener measure, and, as an example, calculate
the averaged scale factor in the first nontrivial perturbative order.
| [
{
"created": "Tue, 12 Oct 2021 14:39:43 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Oct 2021 13:16:11 GMT",
"version": "v2"
},
{
"created": "Tue, 14 Dec 2021 08:36:56 GMT",
"version": "v3"
},
{
"created": "Wed, 26 Jan 2022 17:50:30 GMT",
"version": "v4"
}
] | 2022-03-02 | [
[
"Belokurov",
"Vladimir V.",
""
],
[
"Shavgulidze",
"Evgeniy T.",
""
]
] | Using the invariance of Quadratic Gravity in FLRW metric under the group of diffeomorphisms of the time coordinate, we rewrite the action $A$ of the theory in terms of the invariant dynamical variable $g(\tau)\,.$ We propose to consider the path integrals $\int\,F(g)\,\exp\left\{-A \right\}dg$ as the integrals over the functional measure $\mu(g)=\exp\left\{-A_{2} \right\}dg\,,\ $ where $A_{2}$ is the part of the action $A$ quadratic in $R\,.$ The rest part of the action stands in the exponent in the integrand as the "interaction" term. We prove the measure $\mu(g)$ to be equivalent to the Wiener measure, and, as an example, calculate the averaged scale factor in the first nontrivial perturbative order. |
hep-th/9607018 | null | K. Bardakci, L.M. Bernardo, N. Sochen | Integrable Generalized Thirring Model | Final version to be published in Nucl.Phys.B. Only minor changes. An
equation was deleted and a conclusion revised, and a few comments were added.
Harvmac, 15 pages. Full postscript available from
http://theor1.lbl.gov/www/theorgroup/papers/39040.ps | Nucl.Phys. B487 (1997) 513-525 | 10.1016/S0550-3213(96)00715-8 | LBNL-39040, UCB-PTH-96/27. | hep-th | null | We derive the conditions that the coupling constants of the Generalized
Thirring Model have to satisfy in order for the model to admit an infinite
number of commuting classical conserved quantities. Our treatment uses the
bosonized version of the model, with periodic boundary conditions imposed on
the space coordinate. Some explicit examples that satisfy these conditions are
discussed. We show that, with a different set of boundary conditions, there
exist additional conserved quantities, and we find the Poisson Bracket algebra
satisfied by them.
| [
{
"created": "Tue, 2 Jul 1996 18:01:33 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Jul 1996 18:56:40 GMT",
"version": "v2"
},
{
"created": "Mon, 9 Dec 1996 20:16:07 GMT",
"version": "v3"
}
] | 2009-10-30 | [
[
"Bardakci",
"K.",
""
],
[
"Bernardo",
"L. M.",
""
],
[
"Sochen",
"N.",
""
]
] | We derive the conditions that the coupling constants of the Generalized Thirring Model have to satisfy in order for the model to admit an infinite number of commuting classical conserved quantities. Our treatment uses the bosonized version of the model, with periodic boundary conditions imposed on the space coordinate. Some explicit examples that satisfy these conditions are discussed. We show that, with a different set of boundary conditions, there exist additional conserved quantities, and we find the Poisson Bracket algebra satisfied by them. |
hep-th/0411241 | Arkady Kholodenko L. | Arkady L.Kholodenko | New strings for old Veneziano amplitudes II. Group-theoretic treatment | 57 pages J.Geom.Phys.(in press, available on line) | J.Geom.Phys. 56 (2006) 1387-1432 | 10.1016/j.geomphys.2005.10.004 | null | hep-th | null | In this part of our four parts work (e.g see Part I, hep-th/0410242) we use
the theory of polynomial invariants of finite pseudo-reflection groups in order
to reconstruct both the Veneziano and Veneziano-like (tachyon-free) amplitudes
and the generating function reproducing these amplitudes. We demonstrate that
such generating function can be recovered with help of the finite dimensional
exactly solvable N=2 supersymmetric quantum mechanical model known earlier from
works by Witten, Stone and others. Using the Lefschetz isomorphisms theorem we
replace traditional supersymmetric calculations by the group-theoretic thus
solving the Veneziano model exactly using standard methods of representation
theory. Mathematical correctness of our arguments relies on important theorems
by Shepard and Todd, Serre and Solomon proven respectively in early fifties and
sixties and documented in the monograph by Bourbaki. Based on these theorems we
explain why the developed formalism leaves all known results of conformal field
theories unchanged. We also explain why these theorems impose stringent
requirements connecting analytical properties of scattering amplitudes with
symmetries of space-time in which such amplitudes act.
| [
{
"created": "Fri, 26 Nov 2004 02:53:31 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Nov 2004 17:51:57 GMT",
"version": "v2"
},
{
"created": "Wed, 5 Jan 2005 02:16:07 GMT",
"version": "v3"
},
{
"created": "Fri, 29 Jul 2005 22:00:56 GMT",
"version": "v4"
},
{
"created": "Mon, 12 Dec 2005 22:22:03 GMT",
"version": "v5"
}
] | 2009-11-10 | [
[
"Kholodenko",
"Arkady L.",
""
]
] | In this part of our four parts work (e.g see Part I, hep-th/0410242) we use the theory of polynomial invariants of finite pseudo-reflection groups in order to reconstruct both the Veneziano and Veneziano-like (tachyon-free) amplitudes and the generating function reproducing these amplitudes. We demonstrate that such generating function can be recovered with help of the finite dimensional exactly solvable N=2 supersymmetric quantum mechanical model known earlier from works by Witten, Stone and others. Using the Lefschetz isomorphisms theorem we replace traditional supersymmetric calculations by the group-theoretic thus solving the Veneziano model exactly using standard methods of representation theory. Mathematical correctness of our arguments relies on important theorems by Shepard and Todd, Serre and Solomon proven respectively in early fifties and sixties and documented in the monograph by Bourbaki. Based on these theorems we explain why the developed formalism leaves all known results of conformal field theories unchanged. We also explain why these theorems impose stringent requirements connecting analytical properties of scattering amplitudes with symmetries of space-time in which such amplitudes act. |
hep-th/9707147 | Donald Spector | Donald Spector | Anyon Statistics and the Witten Index | 10 pages, harvmac, no figures; revised to elaborate on two details | Phys.Lett.B442:159-164,1998 | 10.1016/S0370-2693(98)01232-5 | HWS-9718, NIKHEF-96-035 | hep-th | null | Using the theory of supersymmetric anyons, I extend the definition of the
Witten index to 2+1 dimensions so as to accommodate the existence of anyon spin
and statistics. I then demonstrate that, although in general the index receives
irrational and complex contributions from anyonic states, the overall index is
always integral, and I consider some of the implications and interpretations of
this result.
| [
{
"created": "Wed, 16 Jul 1997 18:38:27 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Dec 1997 18:19:50 GMT",
"version": "v2"
}
] | 2011-08-12 | [
[
"Spector",
"Donald",
""
]
] | Using the theory of supersymmetric anyons, I extend the definition of the Witten index to 2+1 dimensions so as to accommodate the existence of anyon spin and statistics. I then demonstrate that, although in general the index receives irrational and complex contributions from anyonic states, the overall index is always integral, and I consider some of the implications and interpretations of this result. |
2212.10626 | Gizem \c{S}eng\"or | Gizem \c{S}eng\"or | Particles of a de Sitter Universe | Invited review for the special issue "Cosmological Constant" of
journal Universe (ISSN 2218-1997). 37 pages | null | null | null | hep-th astro-ph.CO | http://creativecommons.org/licenses/by/4.0/ | The de Sitter spacetime is a maximally symmetric spacetime. It is one of the
vacuum solutions to Einstein equations with a cosmological constant. It is the
solution with a positive cosmological constant and describes a universe
undergoing accelerated expansion. Among the possible signs for a cosmological
constant, this solution is relevant for primordial and late-time cosmology. In
the case of zero cosmological constant, studies on the representations of its
isometry group have led to a broader understanding of particle physics. The
isometry group of $d+1$-dimensional de Sitter is the group $SO(d+1,1)$, whose
representations are well known. Given this insight what can we learn about the
elementary degrees of freedom in a four dimensional de Sitter universe by
exploring how the unitary irreducible representations of $SO(4,1)$ present
themselves in cosmological setups? This article aims to summarize recent
advances along this line that benefit towards a broader understanding of
quantum field theory and holography at different signs of the cosmological
constant. Particular focus is given to the manifestation of $SO(4,1)$
representations at the late-time boundary of de Sitter. The discussion is
concluded by pointing towards future questions at the late-time boundary and
the static patch with a focus on the representations.
| [
{
"created": "Tue, 20 Dec 2022 20:01:32 GMT",
"version": "v1"
}
] | 2022-12-22 | [
[
"Şengör",
"Gizem",
""
]
] | The de Sitter spacetime is a maximally symmetric spacetime. It is one of the vacuum solutions to Einstein equations with a cosmological constant. It is the solution with a positive cosmological constant and describes a universe undergoing accelerated expansion. Among the possible signs for a cosmological constant, this solution is relevant for primordial and late-time cosmology. In the case of zero cosmological constant, studies on the representations of its isometry group have led to a broader understanding of particle physics. The isometry group of $d+1$-dimensional de Sitter is the group $SO(d+1,1)$, whose representations are well known. Given this insight what can we learn about the elementary degrees of freedom in a four dimensional de Sitter universe by exploring how the unitary irreducible representations of $SO(4,1)$ present themselves in cosmological setups? This article aims to summarize recent advances along this line that benefit towards a broader understanding of quantum field theory and holography at different signs of the cosmological constant. Particular focus is given to the manifestation of $SO(4,1)$ representations at the late-time boundary of de Sitter. The discussion is concluded by pointing towards future questions at the late-time boundary and the static patch with a focus on the representations. |
hep-th/0410229 | Hael Collins | Hael Collins (Carnegie Mellon University and University of
Massachusetts, Amherst) | Fermionic alpha-vacua | 13 pages, 3 eps figures, uses RevTeX | Phys.Rev. D71 (2005) 024002 | 10.1103/PhysRevD.71.024002 | CMU-HEP-04-04 | hep-th | null | A spin one-half particle propagating in a de Sitter background has a one
parameter family of states which transform covariantly under the isometry group
of the background. These states are the fermionic analogues of the alpha-vacua
for a scalar field. We shall show how using a point-source propagator for a
fermion in an alpha-state produces divergent perturbative corrections. These
corrections cannot be used to cancel similar divergences arising from scalar
fields in bosonic alpha-vacua since they have an incompatible dependence on the
external momenta. The theory can be regularized by modifying the propagator to
include an antipodal source.
| [
{
"created": "Fri, 22 Oct 2004 22:25:52 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Collins",
"Hael",
"",
"Carnegie Mellon University and University of\n Massachusetts, Amherst"
]
] | A spin one-half particle propagating in a de Sitter background has a one parameter family of states which transform covariantly under the isometry group of the background. These states are the fermionic analogues of the alpha-vacua for a scalar field. We shall show how using a point-source propagator for a fermion in an alpha-state produces divergent perturbative corrections. These corrections cannot be used to cancel similar divergences arising from scalar fields in bosonic alpha-vacua since they have an incompatible dependence on the external momenta. The theory can be regularized by modifying the propagator to include an antipodal source. |
0909.3493 | Ivan Gonzalez | Ivan Gonzalez and Marcelo Loewe | Feynman Diagrams and a Combination of the Integration by Parts (IBP) and
the Integration by Fractional Expansion (IBFE) Techniques | 25 pages, 49 figures, 1 table (typos corrected) | Phys.Rev.D81:026003,2010 | 10.1103/PhysRevD.81.026003 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we show how to improve and extend the Integration by Fractional
Expansion technique (IBFE) by applying it to certain families of scalar massive
Feynman diagrams. The strategy is based on combining this method together with
the Integration by Parts technique (IBP). In particular, we want to calculate
certain Feynman diagrams which have a triangle loop as a subgraph. The main
idea is to use IBP in this subgraph in order to simplify the topology of the
original diagram in which it is immersed, using then, in a second step, the
IBFE technique. The result we have obtained, after the application of both
techniques, represents a simplification in the complexity of the solution,
compared with having used only the IBFE technique.
| [
{
"created": "Fri, 18 Sep 2009 17:57:08 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Nov 2009 14:34:22 GMT",
"version": "v2"
},
{
"created": "Thu, 31 Dec 2009 23:01:00 GMT",
"version": "v3"
}
] | 2010-02-03 | [
[
"Gonzalez",
"Ivan",
""
],
[
"Loewe",
"Marcelo",
""
]
] | In this paper we show how to improve and extend the Integration by Fractional Expansion technique (IBFE) by applying it to certain families of scalar massive Feynman diagrams. The strategy is based on combining this method together with the Integration by Parts technique (IBP). In particular, we want to calculate certain Feynman diagrams which have a triangle loop as a subgraph. The main idea is to use IBP in this subgraph in order to simplify the topology of the original diagram in which it is immersed, using then, in a second step, the IBFE technique. The result we have obtained, after the application of both techniques, represents a simplification in the complexity of the solution, compared with having used only the IBFE technique. |
hep-th/0110151 | Jose M. Isidro | J.M. Isidro | The Geometry of Quantum Mechanics | 15 pages, LaTeX | J.Phys.A35:3305,2002 | 10.1088/0305-4470/35/14/311 | OUCP-01-51P | hep-th math-ph math.MP math.SG quant-ph | null | A recent notion in theoretical physics is that not all quantum theories arise
from quantising a classical system. Also, a given quantum model may possess
more than just one classical limit. These facts find strong evidence in string
duality and M-theory, and it has been suggested that they should also have a
counterpart in quantum mechanics. In view of these developments we propose
"dequantisation", a mechanism to render a quantum theory classical.
Specifically, we present a geometric procedure to "dequantise" a given quantum
mechanics (regardless of its classical origin, if any) to possibly different
classical limits, whose quantisation gives back the original quantum theory.
The standard classical limit $\hbar\to 0$ arises as a particular case of our
approach.
| [
{
"created": "Wed, 17 Oct 2001 15:03:45 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Isidro",
"J. M.",
""
]
] | A recent notion in theoretical physics is that not all quantum theories arise from quantising a classical system. Also, a given quantum model may possess more than just one classical limit. These facts find strong evidence in string duality and M-theory, and it has been suggested that they should also have a counterpart in quantum mechanics. In view of these developments we propose "dequantisation", a mechanism to render a quantum theory classical. Specifically, we present a geometric procedure to "dequantise" a given quantum mechanics (regardless of its classical origin, if any) to possibly different classical limits, whose quantisation gives back the original quantum theory. The standard classical limit $\hbar\to 0$ arises as a particular case of our approach. |
2103.05536 | Leonardo Modesto | Leonardo Modesto | The Higgs mechanism in nonlocal field theory | 4 pages | null | 10.1007/JHEP06(2021)049 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide an example of nonlocal scalar electrodynamics that allows the same
Higgs mechanism so successful in local field theory. The nonlocal action is
structured in order to have the same exact solutions and the same equations of
motion for perturbations of the local theory, at any perturbative order.
Therefore, the perturbative degrees of freedom that propagate in the unstable
vacuum are reshuffled when the stable vacuum is replaced in the EoM, but their
number does not change at any perturbative order, and their properties are the
same like in the usual local theory. Finally, the theory is
super-renormalizable or finite at quantum level.
| [
{
"created": "Tue, 9 Mar 2021 16:31:45 GMT",
"version": "v1"
}
] | 2021-06-30 | [
[
"Modesto",
"Leonardo",
""
]
] | We provide an example of nonlocal scalar electrodynamics that allows the same Higgs mechanism so successful in local field theory. The nonlocal action is structured in order to have the same exact solutions and the same equations of motion for perturbations of the local theory, at any perturbative order. Therefore, the perturbative degrees of freedom that propagate in the unstable vacuum are reshuffled when the stable vacuum is replaced in the EoM, but their number does not change at any perturbative order, and their properties are the same like in the usual local theory. Finally, the theory is super-renormalizable or finite at quantum level. |
1905.04858 | Jen-Chi Lee | Sheng-Hong Lai, Jen-Chi Lee and Yi Yang | Spin polarization independence of hard polarized fermion string
scattering amplitudes | 15 pages, no figure | null | 10.1016/j.physletb.2019.134812 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We calculate a class of polarized fermion string scattering amplitudes
(PFSSA) at arbitrary mass levels. We discover that, in the hard scattering
limit, the functional forms of the non-vanishing PFSSA at each fixed mass level
are independent of the choices of spin polarizations. This result justifies and
extends Gross conjecture on high energy string scattering amplitudes to the
fermionic sector. In addition, this peculiar property of hard PFSSA is to be
compared with the usual spin polarization dependence of the hard polarized
fermion field theory scatterings.
| [
{
"created": "Mon, 13 May 2019 04:50:43 GMT",
"version": "v1"
}
] | 2019-07-31 | [
[
"Lai",
"Sheng-Hong",
""
],
[
"Lee",
"Jen-Chi",
""
],
[
"Yang",
"Yi",
""
]
] | We calculate a class of polarized fermion string scattering amplitudes (PFSSA) at arbitrary mass levels. We discover that, in the hard scattering limit, the functional forms of the non-vanishing PFSSA at each fixed mass level are independent of the choices of spin polarizations. This result justifies and extends Gross conjecture on high energy string scattering amplitudes to the fermionic sector. In addition, this peculiar property of hard PFSSA is to be compared with the usual spin polarization dependence of the hard polarized fermion field theory scatterings. |
0707.0747 | Stefan Forste | Stefan Forste, Cristina Timirgaziu, Ivonne Zavala | Orientifold's Landscape: Non-Factorisable Six-Tori | 24 pages, one figure, v2: references added, v3: small proof added in
footnote 5, minor changes, to appear in JHEP | JHEP 0710:025,2007 | 10.1088/1126-6708/2007/10/025 | LTH 748, IPPP/07/37, DCPT/07/74 | hep-th hep-ph | null | We construct type IIA orientifolds on T6/(Z2 x Z2) which admit non
factorisable lattices. We describe a method to deal with this kind of
configurations and discuss how the compactification lattice affects the tadpole
cancellation conditions. Moreover, we include D6-branes which are not parallel
to O6-planes. These branes can give rise to chiral spectra in four dimensions,
thus uncovering a new corner in the landscape of intersecting D-brane model
constructions. We demonstrate the construction at an explicit example. In
general we argue that obtaining an odd number of families is problematic.
| [
{
"created": "Thu, 5 Jul 2007 12:16:14 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Jul 2007 17:35:43 GMT",
"version": "v2"
},
{
"created": "Thu, 27 Sep 2007 11:18:07 GMT",
"version": "v3"
}
] | 2010-02-03 | [
[
"Forste",
"Stefan",
""
],
[
"Timirgaziu",
"Cristina",
""
],
[
"Zavala",
"Ivonne",
""
]
] | We construct type IIA orientifolds on T6/(Z2 x Z2) which admit non factorisable lattices. We describe a method to deal with this kind of configurations and discuss how the compactification lattice affects the tadpole cancellation conditions. Moreover, we include D6-branes which are not parallel to O6-planes. These branes can give rise to chiral spectra in four dimensions, thus uncovering a new corner in the landscape of intersecting D-brane model constructions. We demonstrate the construction at an explicit example. In general we argue that obtaining an odd number of families is problematic. |
1103.1657 | Christopher Eling | Christopher Eling and Yaron Oz | A Novel Formula for Bulk Viscosity from the Null Horizon Focusing
Equation | 23 pages, 1 appendix | JHEP 1106:007,2011 | 10.1007/JHEP06(2011)007 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The null horizon focusing equation is equivalent via the fluid/gravity
correspondence to the entropy balance law of the fluid. Using this equation we
derive a simple novel formula for the bulk viscosity of the fluid. The formula
is expressed in terms of the dependence of scalar fields at the horizon on
thermodynamic variables such as the entropy and charge densities. We apply the
formula to three classes of gauge theory plasmas: non-conformal branes,
perturbations of the N=4 supersymmetric Yang-Mills theory and holographic
models of QCD, and discuss its range of applicability.
| [
{
"created": "Tue, 8 Mar 2011 22:09:19 GMT",
"version": "v1"
}
] | 2011-06-09 | [
[
"Eling",
"Christopher",
""
],
[
"Oz",
"Yaron",
""
]
] | The null horizon focusing equation is equivalent via the fluid/gravity correspondence to the entropy balance law of the fluid. Using this equation we derive a simple novel formula for the bulk viscosity of the fluid. The formula is expressed in terms of the dependence of scalar fields at the horizon on thermodynamic variables such as the entropy and charge densities. We apply the formula to three classes of gauge theory plasmas: non-conformal branes, perturbations of the N=4 supersymmetric Yang-Mills theory and holographic models of QCD, and discuss its range of applicability. |
1410.4160 | Pedro F. Ramirez | Pablo Bueno, Patrick Meessen, Tomas Ortin, Pedro F. Ramirez | N=2 Einstein-Yang-Mills' static two-center solutions | 46 pages, 1 figure; v2 references added | null | 10.1007/JHEP12(2014)093 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct bona fide one- and two-center supersymmetric solutions to N=2,
d=4 supergravity coupled to SU(2) non-Abelian vector multiplets. The solutions
describe black holes and global monopoles alone or in equilibrium with each
other and exhibit non-Abelian hairs of different kinds.
| [
{
"created": "Wed, 15 Oct 2014 18:30:38 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Oct 2014 08:31:36 GMT",
"version": "v2"
}
] | 2015-06-23 | [
[
"Bueno",
"Pablo",
""
],
[
"Meessen",
"Patrick",
""
],
[
"Ortin",
"Tomas",
""
],
[
"Ramirez",
"Pedro F.",
""
]
] | We construct bona fide one- and two-center supersymmetric solutions to N=2, d=4 supergravity coupled to SU(2) non-Abelian vector multiplets. The solutions describe black holes and global monopoles alone or in equilibrium with each other and exhibit non-Abelian hairs of different kinds. |
2207.03453 | Frans Klinkhamer | F.R. Klinkhamer | Q-field from a 4D-brane: Cosmological constant cancellation and
Minkowski attractor | 10 pages, 3 figures, v4: published version | LHEP 2022 (2022) 312 | 10.31526/LHEP.2022.312 | KA-TP-20-2022 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A 4D-brane realization of $q$-theory has been proposed a few years ago. The
present paper studies the corresponding late-time cosmology and establishes the
dynamic cancellation of an initial cosmological constant and an attractor
behavior towards Minkowski spacetime.
| [
{
"created": "Thu, 7 Jul 2022 17:31:15 GMT",
"version": "v1"
},
{
"created": "Sun, 10 Jul 2022 15:12:03 GMT",
"version": "v2"
},
{
"created": "Fri, 23 Sep 2022 07:30:26 GMT",
"version": "v3"
},
{
"created": "Tue, 3 Jan 2023 18:41:20 GMT",
"version": "v4"
}
] | 2023-01-04 | [
[
"Klinkhamer",
"F. R.",
""
]
] | A 4D-brane realization of $q$-theory has been proposed a few years ago. The present paper studies the corresponding late-time cosmology and establishes the dynamic cancellation of an initial cosmological constant and an attractor behavior towards Minkowski spacetime. |
0812.0166 | Allan Adams | Allan Adams, Alexander Maloney, Aninda Sinha and Samuel E. Vazquez | 1/N Effects in Non-Relativistic Gauge-Gravity Duality | 26 pages, latex | JHEP 0903:097,2009 | 10.1088/1126-6708/2009/03/097 | MIT-CTP/4001 | hep-th cond-mat.other | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We argue that higher-curvature terms in the gravitational Lagrangian lead,
via non-relativistic gauge-gravity duality, to finite renormalization of the
dynamical exponent of the dual conformal field theory. Our argument includes a
proof of the non-renormalization of the Schrodinger and Lifshitz metrics beyond
rescalings of their parameters, directly generalizing the AdS case. We use this
effect to construct string-theory duals of non-relativistic critical systems
with non-integer dynamical exponents, then use these duals to predict the
viscosity/entropy ratios of these systems. The predicted values weakly violate
the KSS bound.
| [
{
"created": "Mon, 1 Dec 2008 20:15:05 GMT",
"version": "v1"
}
] | 2009-03-31 | [
[
"Adams",
"Allan",
""
],
[
"Maloney",
"Alexander",
""
],
[
"Sinha",
"Aninda",
""
],
[
"Vazquez",
"Samuel E.",
""
]
] | We argue that higher-curvature terms in the gravitational Lagrangian lead, via non-relativistic gauge-gravity duality, to finite renormalization of the dynamical exponent of the dual conformal field theory. Our argument includes a proof of the non-renormalization of the Schrodinger and Lifshitz metrics beyond rescalings of their parameters, directly generalizing the AdS case. We use this effect to construct string-theory duals of non-relativistic critical systems with non-integer dynamical exponents, then use these duals to predict the viscosity/entropy ratios of these systems. The predicted values weakly violate the KSS bound. |
1706.08520 | Brian Henning | Brian Henning, Xiaochuan Lu, Tom Melia, and Hitoshi Murayama | Operator bases, $S$-matrices, and their partition functions | 75 pages plus appendices | null | 10.1007/JHEP10(2017)199 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Relativistic quantum systems that admit scattering experiments are
quantitatively described by effective field theories, where $S$-matrix
kinematics and symmetry considerations are encoded in the operator spectrum of
the EFT. In this paper we use the $S$-matrix to derive the structure of the EFT
operator basis, providing complementary descriptions in (i) position space
utilizing the conformal algebra and cohomology and (ii) momentum space via an
algebraic formulation in terms of a ring of momenta with kinematics implemented
as an ideal. These frameworks systematically handle redundancies associated
with equations of motion (on-shell) and integration by parts (momentum
conservation).
We introduce a partition function, termed the Hilbert series, to enumerate
the operator basis--correspondingly, the $S$-matrix--and derive a matrix
integral expression to compute the Hilbert series. The expression is general,
easily applied in any spacetime dimension, with arbitrary field content and
(linearly realized) symmetries.
In addition to counting, we discuss construction of the basis. Simple
algorithms follow from the algebraic formulation in momentum space. We
explicitly compute the basis for operators involving up to $n=5$ scalar fields.
This construction universally applies to fields with spin, since the operator
basis for scalars encodes the momentum dependence of $n$-point amplitudes.
We discuss in detail the operator basis for non-linearly realized symmetries.
In the presence of massless particles, there is freedom to impose additional
structure on the $S$-matrix in the form of soft limits. The most na\"ive
implementation for massless scalars leads to the operator basis for pions,
which we confirm using the standard CCWZ formulation for non-linear
realizations.
| [
{
"created": "Mon, 26 Jun 2017 18:00:00 GMT",
"version": "v1"
}
] | 2017-11-22 | [
[
"Henning",
"Brian",
""
],
[
"Lu",
"Xiaochuan",
""
],
[
"Melia",
"Tom",
""
],
[
"Murayama",
"Hitoshi",
""
]
] | Relativistic quantum systems that admit scattering experiments are quantitatively described by effective field theories, where $S$-matrix kinematics and symmetry considerations are encoded in the operator spectrum of the EFT. In this paper we use the $S$-matrix to derive the structure of the EFT operator basis, providing complementary descriptions in (i) position space utilizing the conformal algebra and cohomology and (ii) momentum space via an algebraic formulation in terms of a ring of momenta with kinematics implemented as an ideal. These frameworks systematically handle redundancies associated with equations of motion (on-shell) and integration by parts (momentum conservation). We introduce a partition function, termed the Hilbert series, to enumerate the operator basis--correspondingly, the $S$-matrix--and derive a matrix integral expression to compute the Hilbert series. The expression is general, easily applied in any spacetime dimension, with arbitrary field content and (linearly realized) symmetries. In addition to counting, we discuss construction of the basis. Simple algorithms follow from the algebraic formulation in momentum space. We explicitly compute the basis for operators involving up to $n=5$ scalar fields. This construction universally applies to fields with spin, since the operator basis for scalars encodes the momentum dependence of $n$-point amplitudes. We discuss in detail the operator basis for non-linearly realized symmetries. In the presence of massless particles, there is freedom to impose additional structure on the $S$-matrix in the form of soft limits. The most na\"ive implementation for massless scalars leads to the operator basis for pions, which we confirm using the standard CCWZ formulation for non-linear realizations. |
1407.8523 | Daniel Blaschke | Daniel N. Blaschke, Ra\'ul Carballo-Rubio, Emil Mottola | Fermion Pairing and the Scalar Boson of the 2D Conformal Anomaly | 58 pages, 8 figures; v2: minor revision, to appear in JHEP | JHEP 1412:153,2014 | 10.1007/JHEP12(2014)153 | LA-UR-13-29168, LA-UR-14-25252 | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze the phenomenon of fermion pairing into an effective boson
associated with anomalies and the anomalous commutators of currents bilinear in
the fermion fields. In two spacetime dimensions the chiral bosonization of the
Schwinger model is determined by the axial current anomaly of massless Dirac
fermions. A similar bosonized description applies to the 2D conformal trace
anomaly of the fermion stress tensor. For both the chiral and conformal
anomalies, correlation functions involving anomalous currents, $j^{\mu}_5$ or
$T^{\mu\nu}$ of massless fermions exhibit a massless boson $1/k^2$ pole, and
the associated spectral functions obey a UV finite sum rule, becoming
$\delta$-functions in the massless limit. In both cases the corresponding
effective action of the anomaly is non-local, but may be expressed in a local
form by the introduction of a new bosonic field, which becomes a bona fide
propagating quantum field in its own right. In both cases this is expressed in
Fock space by the anomalous Schwinger commutators of currents becoming the
canonical commutation relations of the corresponding boson. The boson has a
Fock space operator realization as a coherent superposition of massless fermion
pairs, which saturates the intermediate state sums in quantum correlation
functions of fermion currents. The Casimir energy of fermions on a finite
spatial interval $[0,L]$ can also be described as a coherent scalar
condensation of pairs, and the one-loop correlation function of any number $n$
of fermion stress tensors $\langle TT\dots T\rangle$ may be expressed as a
combinatoric sum of $n!/2$ linear tree diagrams of the scalar boson.
| [
{
"created": "Thu, 31 Jul 2014 18:51:07 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Dec 2014 18:51:16 GMT",
"version": "v2"
}
] | 2015-01-09 | [
[
"Blaschke",
"Daniel N.",
""
],
[
"Carballo-Rubio",
"Raúl",
""
],
[
"Mottola",
"Emil",
""
]
] | We analyze the phenomenon of fermion pairing into an effective boson associated with anomalies and the anomalous commutators of currents bilinear in the fermion fields. In two spacetime dimensions the chiral bosonization of the Schwinger model is determined by the axial current anomaly of massless Dirac fermions. A similar bosonized description applies to the 2D conformal trace anomaly of the fermion stress tensor. For both the chiral and conformal anomalies, correlation functions involving anomalous currents, $j^{\mu}_5$ or $T^{\mu\nu}$ of massless fermions exhibit a massless boson $1/k^2$ pole, and the associated spectral functions obey a UV finite sum rule, becoming $\delta$-functions in the massless limit. In both cases the corresponding effective action of the anomaly is non-local, but may be expressed in a local form by the introduction of a new bosonic field, which becomes a bona fide propagating quantum field in its own right. In both cases this is expressed in Fock space by the anomalous Schwinger commutators of currents becoming the canonical commutation relations of the corresponding boson. The boson has a Fock space operator realization as a coherent superposition of massless fermion pairs, which saturates the intermediate state sums in quantum correlation functions of fermion currents. The Casimir energy of fermions on a finite spatial interval $[0,L]$ can also be described as a coherent scalar condensation of pairs, and the one-loop correlation function of any number $n$ of fermion stress tensors $\langle TT\dots T\rangle$ may be expressed as a combinatoric sum of $n!/2$ linear tree diagrams of the scalar boson. |
2111.12131 | Enrico Olivucci | Enrico Olivucci, Pedro Vieira | Stampedes I: Fishnet OPE and Octagon Bootstrap with Nonzero Bridges | 33 pages, 18 figures. v1: typos corrected | null | 10.1007/JHEP07(2022)017 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Some quantities in quantum field theory are dominated by so-called
$\mathit{leading\,logs}$ and can be re-summed to all loop orders. In this work
we introduce a notion of $\mathit{stampede}$ which is a simple time-evolution
of a bunch of particles which start their life in a corner - on the very right
say - and $\mathit{hop}$ their way to the opposite corner - on the left -
through the repeated action of a quantum Hamiltonian. Such stampedes govern
leading logs quantities in certain quantum field theories. The leading
euclidean OPE limit of correlation functions in the fishnet theory and null
double-scaling limits of correlators in $\mathcal{N}=4$ SYM are notable
examples. As an application, we use these results to extend the beautiful
bootstrap program of Coronado [1] to all octagons functions with arbitrary
diagonal bridge length.
| [
{
"created": "Tue, 23 Nov 2021 19:53:41 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Apr 2022 01:32:33 GMT",
"version": "v2"
}
] | 2022-07-13 | [
[
"Olivucci",
"Enrico",
""
],
[
"Vieira",
"Pedro",
""
]
] | Some quantities in quantum field theory are dominated by so-called $\mathit{leading\,logs}$ and can be re-summed to all loop orders. In this work we introduce a notion of $\mathit{stampede}$ which is a simple time-evolution of a bunch of particles which start their life in a corner - on the very right say - and $\mathit{hop}$ their way to the opposite corner - on the left - through the repeated action of a quantum Hamiltonian. Such stampedes govern leading logs quantities in certain quantum field theories. The leading euclidean OPE limit of correlation functions in the fishnet theory and null double-scaling limits of correlators in $\mathcal{N}=4$ SYM are notable examples. As an application, we use these results to extend the beautiful bootstrap program of Coronado [1] to all octagons functions with arbitrary diagonal bridge length. |
1707.02843 | Zhuo-Yu Xian | Yi Ling and Zhuo-Yu Xian | Holographic Butterfly Effect and Diffusion in Quantum Critical Region | 41 pages, 7 figures, minor revisions, refs added | JHEP09(2017)003 | 10.1007/JHEP09(2017)003 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the butterfly effect and charge diffusion near the quantum
phase transition in holographic approach. We argue that their criticality is
controlled by the holographic scaling geometry with deformations induced by a
relevant operator at finite temperature. Specifically, in the quantum critical
region controlled by a single fixed point, the butterfly velocity decreases
when deviating from the critical point. While, in the non-critical region, the
behavior of the butterfly velocity depends on the specific phase at low
temperature. Moreover, in the holographic Berezinskii-Kosterlitz-Thouless
transition, the universal behavior of the butterfly velocity is absent.
Finally, the tendency of our holographic results matches with the numerical
results of Bose-Hubbard model. A comparison between our result and that in the
$O(N)$ nonlinear sigma model is also given.
| [
{
"created": "Mon, 10 Jul 2017 13:25:22 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Jul 2017 14:32:54 GMT",
"version": "v2"
},
{
"created": "Tue, 5 Sep 2017 02:09:59 GMT",
"version": "v3"
}
] | 2017-09-06 | [
[
"Ling",
"Yi",
""
],
[
"Xian",
"Zhuo-Yu",
""
]
] | We investigate the butterfly effect and charge diffusion near the quantum phase transition in holographic approach. We argue that their criticality is controlled by the holographic scaling geometry with deformations induced by a relevant operator at finite temperature. Specifically, in the quantum critical region controlled by a single fixed point, the butterfly velocity decreases when deviating from the critical point. While, in the non-critical region, the behavior of the butterfly velocity depends on the specific phase at low temperature. Moreover, in the holographic Berezinskii-Kosterlitz-Thouless transition, the universal behavior of the butterfly velocity is absent. Finally, the tendency of our holographic results matches with the numerical results of Bose-Hubbard model. A comparison between our result and that in the $O(N)$ nonlinear sigma model is also given. |
2210.10348 | Sergei V. Ketov | Shuntaro Aoki, Ryotaro Ishikawa and Sergei V. Ketov | Pole inflation and primordial black holes formation in Starobinsky-like
supergravity | 22 pages, 16 figures, LaTeX; short comments added, figures updated | null | 10.1088/1361-6382/acb884 | IPMU22-0049 | hep-th astro-ph.CO | http://creativecommons.org/licenses/by/4.0/ | We extend the Cecotti-Kallosh model of Starobinsky inflation in supergravity
by adding a holomorphic function to the superpotential in order to generate a
large peak in the power spectrum of scalar (curvature) perturbations. In our
approach, the singular non-canonical kinetic terms are largely responsible for
inflation (as an attractor solution), whereas the superpotential is engineered
to generate a production of primordial black holes. We study the cases with (i)
a linear holomorphic function, (ii) a quadratic holomorphic function, and (iii)
an exponential holomorphic function, as regards the dependence of inflation and
primordial black holes production upon parameters of those functions and
initial conditions, as well as verify viability of inflation with our
superpotentials. We find that an efficient production of primordial black holes
consistent with CMB measurements is only possible in the second (ii) case. We
calculate the masses of the produced primordial black holes and find that they
are below the Hawking (black hole) evaporation limit, so that they cannot be
part of the current dark matter in our Universe.
| [
{
"created": "Wed, 19 Oct 2022 07:31:20 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Dec 2022 15:20:33 GMT",
"version": "v2"
},
{
"created": "Fri, 3 Feb 2023 00:43:58 GMT",
"version": "v3"
}
] | 2023-02-06 | [
[
"Aoki",
"Shuntaro",
""
],
[
"Ishikawa",
"Ryotaro",
""
],
[
"Ketov",
"Sergei V.",
""
]
] | We extend the Cecotti-Kallosh model of Starobinsky inflation in supergravity by adding a holomorphic function to the superpotential in order to generate a large peak in the power spectrum of scalar (curvature) perturbations. In our approach, the singular non-canonical kinetic terms are largely responsible for inflation (as an attractor solution), whereas the superpotential is engineered to generate a production of primordial black holes. We study the cases with (i) a linear holomorphic function, (ii) a quadratic holomorphic function, and (iii) an exponential holomorphic function, as regards the dependence of inflation and primordial black holes production upon parameters of those functions and initial conditions, as well as verify viability of inflation with our superpotentials. We find that an efficient production of primordial black holes consistent with CMB measurements is only possible in the second (ii) case. We calculate the masses of the produced primordial black holes and find that they are below the Hawking (black hole) evaporation limit, so that they cannot be part of the current dark matter in our Universe. |
2106.07547 | Paul K. Townsend | Igor Bandos, Kurt Lechner, Dmitri Sorokin, Paul K. Townsend | ModMax meets Susy | 36 pp. v3 includes further minor corrections and clarifications | null | 10.1002/9781119815570.ch1 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give a prescription for N=1 supersymmetrization of any (four-dimensional)
nonlinear electrodynamics theory with a Lagrangian density satisfying a
convexity condition that we relate to semi-classical unitarity. We apply it to
the one-parameter ModMax extension of Maxwell electrodynamics that preserves
both electromagnetic duality and conformal invariance, and its Born-Infeld-like
generalization, proving that duality invariance is preserved. We also establish
superconformal invariance of the superModMax theory by showing that its
coupling to supergravity is super-Weyl invariant. The higher-derivative
photino-field interactions that appear in any supersymmetric nonlinear
electrodynamics theory are removed by an invertible nonlinear superfield
redefinition.
| [
{
"created": "Mon, 14 Jun 2021 16:12:38 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Jul 2021 14:02:36 GMT",
"version": "v2"
},
{
"created": "Wed, 6 Oct 2021 10:32:16 GMT",
"version": "v3"
}
] | 2023-03-08 | [
[
"Bandos",
"Igor",
""
],
[
"Lechner",
"Kurt",
""
],
[
"Sorokin",
"Dmitri",
""
],
[
"Townsend",
"Paul K.",
""
]
] | We give a prescription for N=1 supersymmetrization of any (four-dimensional) nonlinear electrodynamics theory with a Lagrangian density satisfying a convexity condition that we relate to semi-classical unitarity. We apply it to the one-parameter ModMax extension of Maxwell electrodynamics that preserves both electromagnetic duality and conformal invariance, and its Born-Infeld-like generalization, proving that duality invariance is preserved. We also establish superconformal invariance of the superModMax theory by showing that its coupling to supergravity is super-Weyl invariant. The higher-derivative photino-field interactions that appear in any supersymmetric nonlinear electrodynamics theory are removed by an invertible nonlinear superfield redefinition. |
hep-th/0605159 | Eckehard Mielke W. | Eckehard W. Mielke | Anomalies and gravity | 11 pages | AIP Conf.Proc.857B:246-257,2006 | 10.1063/1.2359409 | null | hep-th | null | Anomalies in Yang-Mills type gauge theories of gravity are reviewed.
Particular attention is paid to the relation between the Dirac spin, the axial
current j_5 and the non-covariant gauge spin C. Using diagrammatic techniques,
we show that only generalizations of the U(1)- Pontrjagin four--form F^ F= dC
arise in the chiral anomaly, even when coupled to gravity. Implications for
Ashtekar's canonical approach to quantum gravity are discussed.
| [
{
"created": "Tue, 16 May 2006 19:23:27 GMT",
"version": "v1"
}
] | 2010-12-13 | [
[
"Mielke",
"Eckehard W.",
""
]
] | Anomalies in Yang-Mills type gauge theories of gravity are reviewed. Particular attention is paid to the relation between the Dirac spin, the axial current j_5 and the non-covariant gauge spin C. Using diagrammatic techniques, we show that only generalizations of the U(1)- Pontrjagin four--form F^ F= dC arise in the chiral anomaly, even when coupled to gravity. Implications for Ashtekar's canonical approach to quantum gravity are discussed. |
hep-th/0105067 | Mikhail G. Ivanov | M. G. Ivanov | Delocalized membrane model | LaTeX, 7 p, references and discussion added | Grav.Cosmol. 8 (2002) 166-170; Erratum-ibid. 8 (2002) 339 | null | null | hep-th | null | A model considered in the paper generalizes membrane theory to the case of
delocalized membranes. The model admits covariant formulation, which involves
no constraints. It generalizes the notion of membrane to the case of smooth
distribution of non-intersecting membranes. A generalization of p-brane
solution with delocalized membranes is presented.
| [
{
"created": "Tue, 8 May 2001 00:29:33 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Jul 2001 17:34:08 GMT",
"version": "v2"
},
{
"created": "Fri, 13 Jul 2001 18:53:01 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Ivanov",
"M. G.",
""
]
] | A model considered in the paper generalizes membrane theory to the case of delocalized membranes. The model admits covariant formulation, which involves no constraints. It generalizes the notion of membrane to the case of smooth distribution of non-intersecting membranes. A generalization of p-brane solution with delocalized membranes is presented. |
1012.5048 | Hideki Maeda | Hideki Maeda | Black-hole dynamics in BHT massive gravity | 7 pages, 1 figure | JHEP 1102:039,2011 | 10.1007/JHEP02(2011)039 | CECS-PHY-10/16 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using an exact Vaidya-type null-dust solution, we study the area and entropy
laws for dynamical black holes defined by a future outer trapping horizon in
(2+1)-dimensional Bergshoeff-Hohm-Townsend (BHT) massive gravity. We consider
the theory admitting a degenerate (anti-)de Sitter vacuum and pure BHT gravity.
It is shown that, while the area of a black hole decreases by the injection of
a null dust with positive energy density in several cases, the Wald-Kodama
dynamical entropy always increases.
| [
{
"created": "Wed, 22 Dec 2010 17:33:17 GMT",
"version": "v1"
}
] | 2011-02-16 | [
[
"Maeda",
"Hideki",
""
]
] | Using an exact Vaidya-type null-dust solution, we study the area and entropy laws for dynamical black holes defined by a future outer trapping horizon in (2+1)-dimensional Bergshoeff-Hohm-Townsend (BHT) massive gravity. We consider the theory admitting a degenerate (anti-)de Sitter vacuum and pure BHT gravity. It is shown that, while the area of a black hole decreases by the injection of a null dust with positive energy density in several cases, the Wald-Kodama dynamical entropy always increases. |
1501.00006 | Hong Lu | Zhong-Ying Fan and H. Lu | Thermodynamical First Laws of Black Holes in Quadratically-Extended
Gravities | Latex, 29 pages, many typos (spotted by the referee of PRD)
corrected, to appear in PRD | Phys. Rev. D 91, 064009 (2015) | 10.1103/PhysRevD.91.064009 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Einstein gravities in general dimensions coupled to a cosmological constant
and extended with quadratic curvature invariants admit a variety of black holes
that may asymptote to Minkowski, anti-de Sitter or Lifshitz spacetimes. We
adopt the Wald formalism to derive an explicit formula for calculating the
thermodynamical first law for the static black holes with
spherical/toric/hyperbolic isometries in these theories. This allows us to
derive/rederive the first laws for a wide range of black holes in literature.
Furthermore, we construct many new exact solutions and obtain their first laws.
| [
{
"created": "Tue, 30 Dec 2014 21:00:11 GMT",
"version": "v1"
},
{
"created": "Sun, 11 Jan 2015 06:56:16 GMT",
"version": "v2"
},
{
"created": "Fri, 13 Feb 2015 02:21:24 GMT",
"version": "v3"
}
] | 2015-03-11 | [
[
"Fan",
"Zhong-Ying",
""
],
[
"Lu",
"H.",
""
]
] | Einstein gravities in general dimensions coupled to a cosmological constant and extended with quadratic curvature invariants admit a variety of black holes that may asymptote to Minkowski, anti-de Sitter or Lifshitz spacetimes. We adopt the Wald formalism to derive an explicit formula for calculating the thermodynamical first law for the static black holes with spherical/toric/hyperbolic isometries in these theories. This allows us to derive/rederive the first laws for a wide range of black holes in literature. Furthermore, we construct many new exact solutions and obtain their first laws. |
0806.0051 | Tristan Hubsch | C.F. Doran, M.G. Faux, S.J. Gates Jr, T. Hubsch, K.M. Iga and G.D.
Landweber | Relating Doubly-Even Error-Correcting Codes, Graphs, and Irreducible
Representations of N-Extended Supersymmetry | 19 pages | null | null | null | hep-th math-ph math.CO math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Previous work has shown that the classification of indecomposable off-shell
representations of N-supersymmetry, depicted as Adinkras, may be factored into
specifying the topologies available to Adinkras, and then the
height-assignments for each topological type. The latter problem being solved
by a recursive mechanism that generates all height-assignments within a
topology, it remains to classify the former. Herein we show that this problem
is equivalent to classifying certain (1) graphs and (2) error-correcting codes.
| [
{
"created": "Sat, 31 May 2008 02:35:10 GMT",
"version": "v1"
}
] | 2008-06-17 | [
[
"Doran",
"C. F.",
""
],
[
"Faux",
"M. G.",
""
],
[
"Gates",
"S. J.",
"Jr"
],
[
"Hubsch",
"T.",
""
],
[
"Iga",
"K. M.",
""
],
[
"Landweber",
"G. D.",
""
]
] | Previous work has shown that the classification of indecomposable off-shell representations of N-supersymmetry, depicted as Adinkras, may be factored into specifying the topologies available to Adinkras, and then the height-assignments for each topological type. The latter problem being solved by a recursive mechanism that generates all height-assignments within a topology, it remains to classify the former. Herein we show that this problem is equivalent to classifying certain (1) graphs and (2) error-correcting codes. |
hep-th/0011042 | Serguei Ketov | Sergei V. Ketov | Why do we need supersymmetry? | 5 pages, LaTeX | null | null | KL TH 08/00 | hep-th | null | These short (personal) notes appeared as the result of my attempt to address
the question raised in the title.
| [
{
"created": "Tue, 7 Nov 2000 15:03:07 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Ketov",
"Sergei V.",
""
]
] | These short (personal) notes appeared as the result of my attempt to address the question raised in the title. |
hep-th/0502197 | Diego Nicola Pelliccia | Alexander Dolgov and Diego N. Pelliccia | Scalar field instability in de Sitter space-time | 20 pages, no figures, revtex4. V2: minor changes, references added | Nucl.Phys. B734 (2006) 208-219 | 10.1016/j.nuclphysb.2005.12.002 | null | hep-th gr-qc | null | Starting from the equation of motion of the quantum operator of a real scalar
field phi in de Sitter space-time, a simple differential equation is derived
which describes the evolution of quantum fluctuations <phi^2> of this field.
Full de Sitter invariance is assumed and no ad hoc infrared cutoff is
introduced. This equation is solved explicitly and in massive case our result
agrees with the standard one. In massless case the large time behavior of our
solution differs by sign from the expression found in earlier papers. A
possible cause of discrepancy may be a spontaneous breaking of de Sitter
invariance.
| [
{
"created": "Tue, 22 Feb 2005 15:40:01 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Mar 2005 09:45:49 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Dolgov",
"Alexander",
""
],
[
"Pelliccia",
"Diego N.",
""
]
] | Starting from the equation of motion of the quantum operator of a real scalar field phi in de Sitter space-time, a simple differential equation is derived which describes the evolution of quantum fluctuations <phi^2> of this field. Full de Sitter invariance is assumed and no ad hoc infrared cutoff is introduced. This equation is solved explicitly and in massive case our result agrees with the standard one. In massless case the large time behavior of our solution differs by sign from the expression found in earlier papers. A possible cause of discrepancy may be a spontaneous breaking of de Sitter invariance. |
1701.08102 | Sylvester Gates Jr. | S. James Gates Jr | Spacetime Spin and Chirality Operators for Minimal 4D, $\cal N$ = 1
Supermultiplets From BC${}_4$ Adinkra-Tessellation of Riemann Surfaces | 12 pages, 4 figures, LaTeX twice, presentation at the "Brown
University Adinkra Math/Phys Hangout" (19-23 Dec. 2016) | null | null | Univ. of Maryland Preprint PP-017-019, Brown University Preprint
HET-1709 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose an explicit mathematical construction and plausibility arguments
for how spacetime chirality and Lorentz generators emerge for minimal,
off-shell 4D, $\cal N$ = 1 supermultiplets by use of a 4.4.4.4 tesselation of
Riemann surfaces based on plaquettes originating from Coxeter Group BC${}_4$
adinkras.
| [
{
"created": "Fri, 27 Jan 2017 16:26:17 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Jan 2017 03:12:43 GMT",
"version": "v2"
},
{
"created": "Thu, 23 Feb 2017 14:39:33 GMT",
"version": "v3"
}
] | 2017-02-24 | [
[
"Gates",
"S. James",
"Jr"
]
] | We propose an explicit mathematical construction and plausibility arguments for how spacetime chirality and Lorentz generators emerge for minimal, off-shell 4D, $\cal N$ = 1 supermultiplets by use of a 4.4.4.4 tesselation of Riemann surfaces based on plaquettes originating from Coxeter Group BC${}_4$ adinkras. |
hep-th/0207069 | Cathy Knudsen | A.A. Broyles | One Loop Vacuum Polarization without Infinities | Plain Tex, 10 pages, 2 figures, Corrected typos | null | null | UFIFT-HEP-02-22 | hep-th | null | A technique for avoiding infinite integrals in the calculation of the
one-loop diagram contribution to the vacuum polarization component of an atomic
energy level is presented. This makes renormalization unnecessary. Infinite
integrals do not occur because, as it is shown, no delta functions are required
for the Green's functions. Thus there are none to overlap. This procedure is
shown to produce the same formula as the one obtained by dimensional
renormalization.
| [
{
"created": "Mon, 8 Jul 2002 18:04:21 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Aug 2002 17:46:34 GMT",
"version": "v2"
},
{
"created": "Thu, 2 Jan 2003 15:33:26 GMT",
"version": "v3"
},
{
"created": "Thu, 20 Feb 2003 20:30:33 GMT",
"version": "v4"
}
] | 2007-05-23 | [
[
"Broyles",
"A. A.",
""
]
] | A technique for avoiding infinite integrals in the calculation of the one-loop diagram contribution to the vacuum polarization component of an atomic energy level is presented. This makes renormalization unnecessary. Infinite integrals do not occur because, as it is shown, no delta functions are required for the Green's functions. Thus there are none to overlap. This procedure is shown to produce the same formula as the one obtained by dimensional renormalization. |
hep-th/9511070 | Arut | G.E.Arutyunov and P.B.Medvedev | Geometric construction of the classical $R$-matrices for the elliptic
and trigonometric Calogero-Moser systems | 20 pages, LATEX | null | null | null | hep-th | null | By applying the Hamiltonian reduction scheme we recover the R-matrix of the
trigonometric and elliptic Calogero-Moser system.
| [
{
"created": "Fri, 10 Nov 1995 19:38:07 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Arutyunov",
"G. E.",
""
],
[
"Medvedev",
"P. B.",
""
]
] | By applying the Hamiltonian reduction scheme we recover the R-matrix of the trigonometric and elliptic Calogero-Moser system. |
hep-th/0412156 | Wade Naylor | J. J. Mckenzie-Smith, Wade Naylor | Partition function for a singular background | 5 pages, 1 figure, revtex4, typos corrected. To appear in Phys. Lett.
B | Phys.Lett. B610 (2005) 159-164 | 10.1016/j.physletb.2005.02.010 | YITP-04-71 | hep-th hep-ph | null | We present a method for evaluating the partition function in a varying
external field. Specifically, we look at the case of a non-interacting,
charged, massive scalar field at finite temperature with an associated chemical
potential in the background of a delta-function potential. Whilst we present a
general method, valid at all temperatures, we only give the result for the
leading order term in the high temperature limit. Although the derivative
expansion breaks down for inhomogeneous backgrounds we are able to obtain the
high temperature expansion, as well as an analytic expression for the zero
point energy, by way of a different approximation scheme, which we call the
{\it local Born approximation} (LBA).
| [
{
"created": "Tue, 14 Dec 2004 21:29:30 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Feb 2005 09:54:01 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Mckenzie-Smith",
"J. J.",
""
],
[
"Naylor",
"Wade",
""
]
] | We present a method for evaluating the partition function in a varying external field. Specifically, we look at the case of a non-interacting, charged, massive scalar field at finite temperature with an associated chemical potential in the background of a delta-function potential. Whilst we present a general method, valid at all temperatures, we only give the result for the leading order term in the high temperature limit. Although the derivative expansion breaks down for inhomogeneous backgrounds we are able to obtain the high temperature expansion, as well as an analytic expression for the zero point energy, by way of a different approximation scheme, which we call the {\it local Born approximation} (LBA). |
hep-th/9311048 | Alok Kumar | S. Pratik Khastgir and Alok Kumar | Singular Limits and String Solutions | IP/BBSR/93-72, 9p | null | null | null | hep-th | null | It is shown that new leading ($\al'$) as well as all-order solutions of
String theory can be obtained by taking appropriate singular limits of the
known solutions. We give several leading order solutions for the bosonic as
well as the heterotic string. We then present all-order forms of the previously
known two dimensional cosmological solutions. An all-order form for the
cosmological solution in three dimensions is also predicted. The physical
implications of our results are discussed.
| [
{
"created": "Mon, 8 Nov 1993 22:23:00 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Khastgir",
"S. Pratik",
""
],
[
"Kumar",
"Alok",
""
]
] | It is shown that new leading ($\al'$) as well as all-order solutions of String theory can be obtained by taking appropriate singular limits of the known solutions. We give several leading order solutions for the bosonic as well as the heterotic string. We then present all-order forms of the previously known two dimensional cosmological solutions. An all-order form for the cosmological solution in three dimensions is also predicted. The physical implications of our results are discussed. |
hep-th/0211189 | Yuji Tachikawa | Yuji Tachikawa (Univ. of Tokyo) | Derivation of the Konishi anomaly relation from Dijkgraaf-Vafa with
(Bi-)fundamental matters | 6 pages, no figures. v2: A few arguments improved, conclusion not
changed | Phys.Lett. B573 (2003) 235-238 | 10.1016/j.physletb.2003.08.037 | UT-02-60 | hep-th | null | We explicitly write down the Feynman rules following the work of Dijkfraaf,
Vafa and collaborators for N=1 super Yang-Mills having products of SU groups as
the gauge group and matter chiral superfields in adjoint, fundamental, and
bi-fundamental representations without baryonic perturbations. As an
application of this, we show expectation values calculated by these methods
satisfy the Konishi anomaly relation.
| [
{
"created": "Wed, 20 Nov 2002 16:44:36 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Nov 2002 09:28:42 GMT",
"version": "v2"
}
] | 2010-04-05 | [
[
"Tachikawa",
"Yuji",
"",
"Univ. of Tokyo"
]
] | We explicitly write down the Feynman rules following the work of Dijkfraaf, Vafa and collaborators for N=1 super Yang-Mills having products of SU groups as the gauge group and matter chiral superfields in adjoint, fundamental, and bi-fundamental representations without baryonic perturbations. As an application of this, we show expectation values calculated by these methods satisfy the Konishi anomaly relation. |
1703.05670 | Tomasz Taylor | Tomasz R. Taylor | A Course in Amplitudes | 57 pages | null | 10.1016/j.physrep.2017.05.002 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This a pedagogical introduction to scattering amplitudes in gauge theories.
It proceeds from Dirac equation and Weyl fermions to the two pivot points of
current developments: the recursion relations of Britto, Cachazo, Feng and
Witten, and the unitarity cut method pioneered by Bern, Dixon, Dunbar and
Kosower. In ten lectures, it covers the basic elements of on-shell methods.
| [
{
"created": "Thu, 16 Mar 2017 15:26:59 GMT",
"version": "v1"
}
] | 2017-09-13 | [
[
"Taylor",
"Tomasz R.",
""
]
] | This a pedagogical introduction to scattering amplitudes in gauge theories. It proceeds from Dirac equation and Weyl fermions to the two pivot points of current developments: the recursion relations of Britto, Cachazo, Feng and Witten, and the unitarity cut method pioneered by Bern, Dixon, Dunbar and Kosower. In ten lectures, it covers the basic elements of on-shell methods. |
0907.1128 | Julio Oliva | Julio Oliva, David Tempo, Ricardo Troncoso | Static wormholes in vacuum for conformal gravity | Talk given at the 7th Alexander Friedmann International Seminar on
Gravitation and Cosmology, Joao Pessoa, Brazil, 29 Jun - 5 Jul 2008. 4 pages
and one figure | Int.J.Mod.Phys.A24:1528-1532,2009 | 10.1142/S0217751X09044930 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A static spherically symmetric wormhole solution for conformal gravity in
vacuum is found. The solution possesses a single integration constant which
determines the size of the neck connecting two static homogeneous universes of
constant spatial curvature. Time runs at different rates on each side of the
neck, and depending on the value of the parameter, the wormhole can develop a
cosmological horizon only at one side. It is shown that the wormholes
correspond to the matching of different Einstein spacetimes by means of
improper conformal transformations.
| [
{
"created": "Tue, 7 Jul 2009 01:57:50 GMT",
"version": "v1"
}
] | 2009-07-08 | [
[
"Oliva",
"Julio",
""
],
[
"Tempo",
"David",
""
],
[
"Troncoso",
"Ricardo",
""
]
] | A static spherically symmetric wormhole solution for conformal gravity in vacuum is found. The solution possesses a single integration constant which determines the size of the neck connecting two static homogeneous universes of constant spatial curvature. Time runs at different rates on each side of the neck, and depending on the value of the parameter, the wormhole can develop a cosmological horizon only at one side. It is shown that the wormholes correspond to the matching of different Einstein spacetimes by means of improper conformal transformations. |
1411.4768 | Hajime Otsuka | Hiroyuki Abe, Tatsuo Kobayashi and Hajime Otsuka | Natural inflation with and without modulations in type IIB string theory | 18 pages, 4 figures, Typos corrected, references and comments added | JHEP 1504 (2015) 160 | 10.1007/JHEP04(2015)160 | WU-HEP-14-10, EPHOU-14-019 | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a mechanism for the natural inflation with and without modulation
in the framework of type IIB string theory on toroidal orientifold or orbifold.
We explicitly construct the stabilization potential of complex structure,
dilaton and K\"ahler moduli, where one of the imaginary component of complex
structure moduli becomes light which is identified as the inflaton. The
inflaton potential is generated by the gaugino-condensation term which receives
the one-loop threshold corrections determined by the field value of complex
structure moduli and the axion decay constant of inflaton is enhanced by the
inverse of one-loop factor. We also find the threshold corrections can also
induce the modulations to the original scalar potential for the natural
inflation. Depending on these modulations, we can predict several sizes of
tensor-to-scalar ratio as well as the other cosmological observables reported
by WMAP, Planck and/or BICEP2 collaborations.
| [
{
"created": "Tue, 18 Nov 2014 08:57:15 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Jun 2015 07:24:50 GMT",
"version": "v2"
}
] | 2015-06-17 | [
[
"Abe",
"Hiroyuki",
""
],
[
"Kobayashi",
"Tatsuo",
""
],
[
"Otsuka",
"Hajime",
""
]
] | We propose a mechanism for the natural inflation with and without modulation in the framework of type IIB string theory on toroidal orientifold or orbifold. We explicitly construct the stabilization potential of complex structure, dilaton and K\"ahler moduli, where one of the imaginary component of complex structure moduli becomes light which is identified as the inflaton. The inflaton potential is generated by the gaugino-condensation term which receives the one-loop threshold corrections determined by the field value of complex structure moduli and the axion decay constant of inflaton is enhanced by the inverse of one-loop factor. We also find the threshold corrections can also induce the modulations to the original scalar potential for the natural inflation. Depending on these modulations, we can predict several sizes of tensor-to-scalar ratio as well as the other cosmological observables reported by WMAP, Planck and/or BICEP2 collaborations. |
hep-th/9603079 | Kubota Takahiro | T. Kubota | The Rubakov-Callan Effect and Black Holes | 7 pages, latex, no figures, An Essay dedicated to Professor Keiji
Kikkawa on the occasion of his 60th birthday, To be published in Proceedings
of the Workshop ``Frontiers in Quantum Field Theory" (World Scientific Pub.
Co.) | null | null | OU-HET 241 (revised) | hep-th | null | The Rubakov-Callan effect is reexamined by considering the gravitational
effects caused by the heavy monopole mass. Assuming that the Higgs vacuum
expectation value is as large as (or larger than) the Planck mass, we show that
the calculational scheme of Rubakov and Callan may be extended in the presence
of curved background field. It is argued that the density of the fermion
condensate around a magnetically charged black hole is modified in an intricate
way.
| [
{
"created": "Wed, 13 Mar 1996 08:01:40 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Mar 1996 10:29:04 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Kubota",
"T.",
""
]
] | The Rubakov-Callan effect is reexamined by considering the gravitational effects caused by the heavy monopole mass. Assuming that the Higgs vacuum expectation value is as large as (or larger than) the Planck mass, we show that the calculational scheme of Rubakov and Callan may be extended in the presence of curved background field. It is argued that the density of the fermion condensate around a magnetically charged black hole is modified in an intricate way. |
1812.10969 | Carlos Mafra | Carlos R. Mafra, Oliver Schlotterer | Towards the n-point one-loop superstring amplitude I: Pure spinors and
superfield kinematics | 72 pp, v2 published version | JHEP 1908 (2019) 090 | 10.1007/JHEP08(2019)090 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This is the first installment of a series of three papers in which we
describe a method to determine higher-point correlation functions in one-loop
open-superstring amplitudes from first principles. In this first part, we
exploit the synergy between the cohomological features of pure-spinor
superspace and the pure-spinor zero-mode integration rules of the one-loop
amplitude prescription. This leads to the study of a rich variety of
multiparticle superfields which are local, have covariant BRST variations, and
are compatible with the particularities of the pure-spinor amplitude
prescription. Several objects related to these superfields, such as their
non-local counterparts and the so-called BRST pseudo-invariants, are thoroughly
reviewed and put into new light. Their properties will turn out to be
mysteriously connected to products of one-loop worldsheet functions in packages
dubbed "generalized elliptic integrands", whose prominence will be seen in the
later parts of this series of papers.
| [
{
"created": "Fri, 28 Dec 2018 12:12:30 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Sep 2019 16:48:34 GMT",
"version": "v2"
}
] | 2019-09-11 | [
[
"Mafra",
"Carlos R.",
""
],
[
"Schlotterer",
"Oliver",
""
]
] | This is the first installment of a series of three papers in which we describe a method to determine higher-point correlation functions in one-loop open-superstring amplitudes from first principles. In this first part, we exploit the synergy between the cohomological features of pure-spinor superspace and the pure-spinor zero-mode integration rules of the one-loop amplitude prescription. This leads to the study of a rich variety of multiparticle superfields which are local, have covariant BRST variations, and are compatible with the particularities of the pure-spinor amplitude prescription. Several objects related to these superfields, such as their non-local counterparts and the so-called BRST pseudo-invariants, are thoroughly reviewed and put into new light. Their properties will turn out to be mysteriously connected to products of one-loop worldsheet functions in packages dubbed "generalized elliptic integrands", whose prominence will be seen in the later parts of this series of papers. |
1608.04948 | Joao Penedones | Joao Penedones | TASI lectures on AdS/CFT | 63 pages, 7 figures | null | 10.1142/9789813149441_0002 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce the AdS/CFT correspondence as a natural extension of QFT in a
fixed AdS background. We start by reviewing some general concepts of CFT,
including the embedding space formalism. We then consider QFT in a fixed AdS
background and show that one can define boundary operators that enjoy very
similar properties as in a CFT, except for the lack of a stress tensor.
Including a dynamical metric in AdS generates a boundary stress tensor and
completes the CFT axioms. We also discuss some applications of the bulk
geometric intuition to strongly coupled QFT. Finally, we end with a review of
the main properties of Mellin amplitudes for CFT correlation functions and
their uses in the context of AdS/CFT.
| [
{
"created": "Wed, 17 Aug 2016 12:40:34 GMT",
"version": "v1"
}
] | 2016-12-21 | [
[
"Penedones",
"Joao",
""
]
] | We introduce the AdS/CFT correspondence as a natural extension of QFT in a fixed AdS background. We start by reviewing some general concepts of CFT, including the embedding space formalism. We then consider QFT in a fixed AdS background and show that one can define boundary operators that enjoy very similar properties as in a CFT, except for the lack of a stress tensor. Including a dynamical metric in AdS generates a boundary stress tensor and completes the CFT axioms. We also discuss some applications of the bulk geometric intuition to strongly coupled QFT. Finally, we end with a review of the main properties of Mellin amplitudes for CFT correlation functions and their uses in the context of AdS/CFT. |
0806.0586 | Yuri Aisaka | Yuri Aisaka and E. Aldo Arroyo | Hilbert space of curved \beta\gamma systems on quadric cones | 45 pages | JHEP 0808:052,2008 | 10.1088/1126-6708/2008/08/052 | IFT-P.009/2008 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We clarify the structure of the Hilbert space of curved \beta\gamma systems
defined by a quadratic constraint. The constraint is studied using intrinsic
and BRST methods, and their partition functions are shown to agree. The quantum
BRST cohomology is non-empty only at ghost numbers 0 and 1, and there is a
one-to-one mapping between these two sectors. In the intrinsic description, the
ghost number 1 operators correspond to the ones that are not globally defined
on the constrained surface. Extension of the results to the pure spinor
superstring is discussed in a separate work.
| [
{
"created": "Tue, 3 Jun 2008 18:35:49 GMT",
"version": "v1"
}
] | 2014-10-27 | [
[
"Aisaka",
"Yuri",
""
],
[
"Arroyo",
"E. Aldo",
""
]
] | We clarify the structure of the Hilbert space of curved \beta\gamma systems defined by a quadratic constraint. The constraint is studied using intrinsic and BRST methods, and their partition functions are shown to agree. The quantum BRST cohomology is non-empty only at ghost numbers 0 and 1, and there is a one-to-one mapping between these two sectors. In the intrinsic description, the ghost number 1 operators correspond to the ones that are not globally defined on the constrained surface. Extension of the results to the pure spinor superstring is discussed in a separate work. |
1311.0869 | Raquel H. Ribeiro | Nishant Agarwal, Raquel H. Ribeiro and R. Holman | Why does the effective field theory of inflation work? | v1: 20 pages, 1 figure. v2: references and minor clarifications
added, results remain unchanged; matches version to be published in JCAP | JCAP 06 (2014) 016 | 10.1088/1475-7516/2014/06/016 | null | hep-th astro-ph.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The effective field theory (EFT) of inflation has become the preferred method
for computing cosmological correlation functions of the curvature fluctuation,
$\zeta$. It makes explicit use of the soft breaking of time diffeomorphisms by
the inflationary background to organize the operators expansion in the action
of the Goldstone mode $\pi$ associated with this breaking. Despite its
ascendancy, there is another method for calculating $\zeta$ correlators,
involving the direct calculation of the so-called Horndeski action order by
order in powers of $\zeta$ and its derivatives. The question we address in this
work is whether or not the $\zeta$ correlators calculated in these seemingly
different ways are in fact the same. The answer is that the actions to cubic
order in either set of variables do indeed give rise to the same $\zeta$
bispectra, but that to make this equivalence manifest requires a careful
understanding of the non-linear transformations relating $\pi$ to $\zeta$ and
how boundary terms in the actions are affected by imposing this relation. As a
by product of our study we find that the calculations in the $\pi$ language can
be simplified considerably in a way that allows us to use only the linear part
of the $\pi-\zeta$ relation simply by changing the coefficients of some of the
operators in the EFT. We also note that a proper accounting of the boundary
terms will be of the greatest importance when computing the bispectrum for more
general initial states than the Bunch-Davies one.
| [
{
"created": "Mon, 4 Nov 2013 21:00:01 GMT",
"version": "v1"
},
{
"created": "Fri, 16 May 2014 21:32:10 GMT",
"version": "v2"
}
] | 2014-06-10 | [
[
"Agarwal",
"Nishant",
""
],
[
"Ribeiro",
"Raquel H.",
""
],
[
"Holman",
"R.",
""
]
] | The effective field theory (EFT) of inflation has become the preferred method for computing cosmological correlation functions of the curvature fluctuation, $\zeta$. It makes explicit use of the soft breaking of time diffeomorphisms by the inflationary background to organize the operators expansion in the action of the Goldstone mode $\pi$ associated with this breaking. Despite its ascendancy, there is another method for calculating $\zeta$ correlators, involving the direct calculation of the so-called Horndeski action order by order in powers of $\zeta$ and its derivatives. The question we address in this work is whether or not the $\zeta$ correlators calculated in these seemingly different ways are in fact the same. The answer is that the actions to cubic order in either set of variables do indeed give rise to the same $\zeta$ bispectra, but that to make this equivalence manifest requires a careful understanding of the non-linear transformations relating $\pi$ to $\zeta$ and how boundary terms in the actions are affected by imposing this relation. As a by product of our study we find that the calculations in the $\pi$ language can be simplified considerably in a way that allows us to use only the linear part of the $\pi-\zeta$ relation simply by changing the coefficients of some of the operators in the EFT. We also note that a proper accounting of the boundary terms will be of the greatest importance when computing the bispectrum for more general initial states than the Bunch-Davies one. |
hep-th/9605190 | George Emanuel Avraam Matsas | Sandro S. Costa and George E.A. Matsas | Reply to "Comment on 'Background Thermal Contributions in Testing the
Unruh effect' " | 4 pages, (REVTEX 3.0) | null | null | null | hep-th | null | Park et al's recent comment (hep-th/9605132) that for detectors with large
energy gap in comparison with the temperature of the background thermal bath,
the maximum excitation rate is obtained for some non-zero detector's velocity
is correct but was previously discussed by ourselves elsewhere, and moreover
does not affect in our paper above any mathematical formula, numerical result,
and consequently our final conclusion that the background thermal bath does not
contribute substantially in the depolarization of electrons at LEP.
| [
{
"created": "Mon, 27 May 1996 21:08:33 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Costa",
"Sandro S.",
""
],
[
"Matsas",
"George E. A.",
""
]
] | Park et al's recent comment (hep-th/9605132) that for detectors with large energy gap in comparison with the temperature of the background thermal bath, the maximum excitation rate is obtained for some non-zero detector's velocity is correct but was previously discussed by ourselves elsewhere, and moreover does not affect in our paper above any mathematical formula, numerical result, and consequently our final conclusion that the background thermal bath does not contribute substantially in the depolarization of electrons at LEP. |
1008.2885 | Sciarrino Antonino | Antonino Sciarrino and Paul Sorba | About the Non Relativistic Structure of the AdS/CFT Superalgebras | 30 pages | J.Phys.A44:025402,2011 | 10.1088/1751-8113/44/2/025402 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The property of the conformal algebra to contain the Schr\"odinger algebra in
one less space dimension is extended to the supersymmetric case. More
precisely, we determine the counterpart of any field theory admissible super
conformal algebra. Even if each type of superalgebra provides a different
solution, its basis decomposition into two copies of the super Schr\"odinger
algebra, differing only by their super Heisenberg part, remains valid in all
the cases, so generalizing a feature already observed in the non supersymmetric
conformal case.
| [
{
"created": "Tue, 17 Aug 2010 13:07:03 GMT",
"version": "v1"
}
] | 2011-01-20 | [
[
"Sciarrino",
"Antonino",
""
],
[
"Sorba",
"Paul",
""
]
] | The property of the conformal algebra to contain the Schr\"odinger algebra in one less space dimension is extended to the supersymmetric case. More precisely, we determine the counterpart of any field theory admissible super conformal algebra. Even if each type of superalgebra provides a different solution, its basis decomposition into two copies of the super Schr\"odinger algebra, differing only by their super Heisenberg part, remains valid in all the cases, so generalizing a feature already observed in the non supersymmetric conformal case. |
1212.3178 | Gesualdo Delfino | Gesualdo Delfino | Parafermionic excitations and critical exponents of random cluster and
O(n) models | 13 pages, 4 figures. Published version with typo corrected and
reference added | Annals of Physics 333 (2013) 1-11 | 10.1016/j.aop.2013.02.009 | null | hep-th cond-mat.stat-mech math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce the notion of parafermionic fields as the chiral fields which
describe particle excitations in two-dimensional conformal field theory, and
argue that the parafermionic conformal dimensions can be determined using scale
invariant scattering theory. Together with operator product arguments this may
provide new information, in particular for non-rational conformal theories. We
obtain in this way the field theoretical derivation of the critical exponents
of the random cluster and O(n) models, which in the limit of vanishing central
charge yield percolation and self-avoiding walks. A simple derivation of the
relation between S-matrix and Lagrangian couplings of sine-Gordon model is also
given.
| [
{
"created": "Thu, 13 Dec 2012 14:08:49 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Mar 2013 10:30:48 GMT",
"version": "v2"
}
] | 2013-03-29 | [
[
"Delfino",
"Gesualdo",
""
]
] | We introduce the notion of parafermionic fields as the chiral fields which describe particle excitations in two-dimensional conformal field theory, and argue that the parafermionic conformal dimensions can be determined using scale invariant scattering theory. Together with operator product arguments this may provide new information, in particular for non-rational conformal theories. We obtain in this way the field theoretical derivation of the critical exponents of the random cluster and O(n) models, which in the limit of vanishing central charge yield percolation and self-avoiding walks. A simple derivation of the relation between S-matrix and Lagrangian couplings of sine-Gordon model is also given. |
1507.02277 | Benedict J. Broy | Benedict J. Broy, Mario Galante, Diederik Roest, Alexander Westphal | Pole Inflation - Shift Symmetry and Universal Corrections | twocolumn, 9 pages, 1 figure; v2: clarifications and refs added, JHEP
layout, 19 pages | JHEP12 (2015) 149 | 10.1007/JHEP12(2015)149 | DESY-15-115 | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An appealing explanation for the Planck data is provided by inflationary
models with a singular non-canonical kinetic term: a Laurent expansion of the
kinetic function translates into a potential with a nearly shift-symmetric
plateau in canonical fields. The shift symmetry can be broken at large field
values by including higher-order poles, which need to be hierarchically
suppressed in order not to spoil the inflationary plateau. The herefrom
resulting corrections to the inflationary dynamics and predictions are shown to
be universal at lowest order and possibly to induce power loss at large angular
scales. At lowest order there are no corrections from a pole of just one order
higher and we argue that this phenomenon is related to the well-known extended
no-scale structure arising in string theory scenarios. Finally, we outline
which other corrections may arise from string loop effects.
| [
{
"created": "Wed, 8 Jul 2015 20:00:22 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Jan 2016 10:28:02 GMT",
"version": "v2"
}
] | 2016-01-08 | [
[
"Broy",
"Benedict J.",
""
],
[
"Galante",
"Mario",
""
],
[
"Roest",
"Diederik",
""
],
[
"Westphal",
"Alexander",
""
]
] | An appealing explanation for the Planck data is provided by inflationary models with a singular non-canonical kinetic term: a Laurent expansion of the kinetic function translates into a potential with a nearly shift-symmetric plateau in canonical fields. The shift symmetry can be broken at large field values by including higher-order poles, which need to be hierarchically suppressed in order not to spoil the inflationary plateau. The herefrom resulting corrections to the inflationary dynamics and predictions are shown to be universal at lowest order and possibly to induce power loss at large angular scales. At lowest order there are no corrections from a pole of just one order higher and we argue that this phenomenon is related to the well-known extended no-scale structure arising in string theory scenarios. Finally, we outline which other corrections may arise from string loop effects. |
1101.1706 | John Klauder | John R. Klauder | Scalar Field Quantization Without Divergences In All Spacetime
Dimensions | 45 pages, has relevance for the Higgs model, review and updated
analysis, version accepted for publication | null | 10.1088/1751-8113/44/27/273001 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Covariant, self-interacting scalar quantum field theories admit solutions for
low enough spacetime dimensions, but when additional divergences appear in
higher dimensions, the traditional approach leads to results, such as
triviality, that are less than satisfactory. Guided by idealized but soluble
{\it non}renormalizable models, a nontraditional proposal for the quantization
of covariant scalar field theories is advanced, which achieves a term-by-term,
divergence-free, perturbation analysis of interacting models expanded about a
suitable pseudofree theory, which differs from a free theory by an O(\hbar^2)
counterterm. These positive features are realized within a functional integral
formulation by a local, nonclassical, counterterm that effectively transforms
parameter changes in the action from generating mutually singular measures,
which are the basis for divergences, to equivalent measures, thereby removing
all divergences. The use of an alternative model about which to perturb is
already supported by properties of the classical theory, and is allowed by the
inherent ambiguity in the quantization process itself. This procedure not only
provides acceptable solutions for models for which no acceptable, faithful
solution currently exists, e.g., \phi^4_n, for spacetime dimensions n\ge4, but
offers a new, divergence-free solution, for less-singular models as well, e.g.,
\phi^4_n, for n=2,3. Our analysis implies similar properties for multicomponent
scalar models, such as those associated with the Higgs model.
| [
{
"created": "Mon, 10 Jan 2011 04:40:58 GMT",
"version": "v1"
},
{
"created": "Sun, 23 Jan 2011 19:50:20 GMT",
"version": "v2"
},
{
"created": "Fri, 13 May 2011 02:35:59 GMT",
"version": "v3"
}
] | 2015-05-27 | [
[
"Klauder",
"John R.",
""
]
] | Covariant, self-interacting scalar quantum field theories admit solutions for low enough spacetime dimensions, but when additional divergences appear in higher dimensions, the traditional approach leads to results, such as triviality, that are less than satisfactory. Guided by idealized but soluble {\it non}renormalizable models, a nontraditional proposal for the quantization of covariant scalar field theories is advanced, which achieves a term-by-term, divergence-free, perturbation analysis of interacting models expanded about a suitable pseudofree theory, which differs from a free theory by an O(\hbar^2) counterterm. These positive features are realized within a functional integral formulation by a local, nonclassical, counterterm that effectively transforms parameter changes in the action from generating mutually singular measures, which are the basis for divergences, to equivalent measures, thereby removing all divergences. The use of an alternative model about which to perturb is already supported by properties of the classical theory, and is allowed by the inherent ambiguity in the quantization process itself. This procedure not only provides acceptable solutions for models for which no acceptable, faithful solution currently exists, e.g., \phi^4_n, for spacetime dimensions n\ge4, but offers a new, divergence-free solution, for less-singular models as well, e.g., \phi^4_n, for n=2,3. Our analysis implies similar properties for multicomponent scalar models, such as those associated with the Higgs model. |
hep-th/9607123 | Mironov | A.Mironov | Group Theory Structures Underlying Integrable Systems | 7 pages, LaTeX, no figures; Talk presented at the II Sakharov
International Conference | null | null | FIAN/TD-12/96, ITEP/TH-24/96 | hep-th | null | Different group structures which underline the integrable systems are
considered. In some cases, the quantization of the integrable system can be
provided with substituting groups by their quantum counterparts. However, some
other group structures keep non-deformed in the course of quantizing the
integrable system although their treatment is to be changed. Manifest examples
of the KP/Toda hierarchy and the Liouville theory are considered.
| [
{
"created": "Mon, 15 Jul 1996 23:54:46 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Mironov",
"A.",
""
]
] | Different group structures which underline the integrable systems are considered. In some cases, the quantization of the integrable system can be provided with substituting groups by their quantum counterparts. However, some other group structures keep non-deformed in the course of quantizing the integrable system although their treatment is to be changed. Manifest examples of the KP/Toda hierarchy and the Liouville theory are considered. |
1503.02962 | Larry Ford | Haiyun Huang and L. H. Ford | Quantum Electric Field Fluctuations and Potential Scattering | 13 pages, 4 figures | Phys. Rev. D 91, 125005 (2015) | 10.1103/PhysRevD.91.125005 | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Some physical effects of time averaged quantum electric field fluctuations
are discussed. The one loop radiative correction to potential scattering are
approximately derived from simple arguments which invoke vacuum electric field
fluctuations. For both above barrier scattering and quantum tunneling, this
effect increases the transmission probability. It is argued that the shape of
the potential determines a sampling function for the time averaging of the
quantum electric field operator. We also suggest that there is a
nonperturbative enhancement of the transmission probability which can be
inferred from the probability distribution for time averaged electric field
fluctuations.
| [
{
"created": "Tue, 10 Mar 2015 16:03:55 GMT",
"version": "v1"
}
] | 2015-06-10 | [
[
"Huang",
"Haiyun",
""
],
[
"Ford",
"L. H.",
""
]
] | Some physical effects of time averaged quantum electric field fluctuations are discussed. The one loop radiative correction to potential scattering are approximately derived from simple arguments which invoke vacuum electric field fluctuations. For both above barrier scattering and quantum tunneling, this effect increases the transmission probability. It is argued that the shape of the potential determines a sampling function for the time averaging of the quantum electric field operator. We also suggest that there is a nonperturbative enhancement of the transmission probability which can be inferred from the probability distribution for time averaged electric field fluctuations. |
0809.2063 | Dmitri Diakonov | Dmitri Diakonov and Victor Petrov (Petersburg Nuclear Physics
Institute) | Statistical physics of dyons and quark confinement | Invited talk at the Landau Memorial Conference "Advances in
Theoretical Physics", June 22-26, 2008, Chernogolovka, to be published in the
Proceedings | null | 10.1063/1.3149491 | null | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a semiclassical approach to the SU(N) Yang--Mills theory whose
partition function at nonzero temperatures is approximated by a saddle point --
an ensemble of an infinite number of interacting dyons of N kinds. The ensemble
is governed by an exactly solvable 3d quantum field theory, allowing
calculation of correlations functions relevant to confinement. We show that
known criteria of confinement are satisfied in this semiclassical
approximation: (i) the average Polyakov line is zero below some critical
temperature, and nonzero above it, (ii) a quark-antiquark pair has linear
rising potential energy, (iii) the average spatial Wilson loop falls off
exponentially with the area, (iv) N^2 gluons are canceled out from the
spectrum, (v) the critical deconfinement temperature is in good agreement with
lattice data. Using the same approximation, we find confinement for the
exceptional gauge group G(2) and a first-order deconfinement transition, also
in agreement with lattice findings.
| [
{
"created": "Thu, 11 Sep 2008 17:29:29 GMT",
"version": "v1"
}
] | 2015-05-13 | [
[
"Diakonov",
"Dmitri",
"",
"Petersburg Nuclear Physics\n Institute"
],
[
"Petrov",
"Victor",
"",
"Petersburg Nuclear Physics\n Institute"
]
] | We present a semiclassical approach to the SU(N) Yang--Mills theory whose partition function at nonzero temperatures is approximated by a saddle point -- an ensemble of an infinite number of interacting dyons of N kinds. The ensemble is governed by an exactly solvable 3d quantum field theory, allowing calculation of correlations functions relevant to confinement. We show that known criteria of confinement are satisfied in this semiclassical approximation: (i) the average Polyakov line is zero below some critical temperature, and nonzero above it, (ii) a quark-antiquark pair has linear rising potential energy, (iii) the average spatial Wilson loop falls off exponentially with the area, (iv) N^2 gluons are canceled out from the spectrum, (v) the critical deconfinement temperature is in good agreement with lattice data. Using the same approximation, we find confinement for the exceptional gauge group G(2) and a first-order deconfinement transition, also in agreement with lattice findings. |
2204.05194 | Radu Roiban | Alessandra Buonanno, Mohammed Khalil, Donal O'Connell, Radu Roiban,
Mikhail P. Solon, Mao Zeng | Snowmass White Paper: Gravitational Waves and Scattering Amplitudes | contribution to Snowmass 2021; 28+28 pages, 5 figures | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We review recent progress and future prospects for harnessing powerful tools
from theoretical high-energy physics, such as scattering amplitudes and
effective field theory, to develop a precise and systematically improvable
framework for calculating gravitational-wave signals from binary systems
composed of black holes and/or neutron stars. This effort aims to provide
state-of-the-art predictions that will enable high-precision measurements at
future gravitational-wave detectors. In turn, applying the tools of quantum
field theory in this new arena will uncover theoretical structures that can
transform our understanding of basic phenomena and lead to new tools that will
further the cycle of innovation. While still in a nascent stage, this research
direction has already derived new analytic results in general relativity, and
promises to advance the development of highly accurate waveform models for ever
more sensitive detectors.
| [
{
"created": "Mon, 11 Apr 2022 15:29:37 GMT",
"version": "v1"
}
] | 2022-04-12 | [
[
"Buonanno",
"Alessandra",
""
],
[
"Khalil",
"Mohammed",
""
],
[
"O'Connell",
"Donal",
""
],
[
"Roiban",
"Radu",
""
],
[
"Solon",
"Mikhail P.",
""
],
[
"Zeng",
"Mao",
""
]
] | We review recent progress and future prospects for harnessing powerful tools from theoretical high-energy physics, such as scattering amplitudes and effective field theory, to develop a precise and systematically improvable framework for calculating gravitational-wave signals from binary systems composed of black holes and/or neutron stars. This effort aims to provide state-of-the-art predictions that will enable high-precision measurements at future gravitational-wave detectors. In turn, applying the tools of quantum field theory in this new arena will uncover theoretical structures that can transform our understanding of basic phenomena and lead to new tools that will further the cycle of innovation. While still in a nascent stage, this research direction has already derived new analytic results in general relativity, and promises to advance the development of highly accurate waveform models for ever more sensitive detectors. |
hep-th/9412164 | Sochi | S.A.Frolov, A.A.Slavnov and C.Sochichiu | SO(N) invariant Wess-Zumino action and its quantization | 22 pages, LaTex | Theor.Math.Phys. 105 (1996) 1407-1425; Teor.Mat.Fiz. 105N2 (1995)
270-291 | 10.1007/BF02070936 | SMI-35-94 | hep-th | null | A consistent quantization procedure of anomalous chiral models is discussed.
It is based on the modification of the classical action by adding Wess-Zumino
terms. The $SO(3)$ invariant WZ action for the $SO(3)$ model is constructed.
Quantization of the corresponding modified theory is considered in details.
| [
{
"created": "Mon, 19 Dec 1994 11:26:53 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Frolov",
"S. A.",
""
],
[
"Slavnov",
"A. A.",
""
],
[
"Sochichiu",
"C.",
""
]
] | A consistent quantization procedure of anomalous chiral models is discussed. It is based on the modification of the classical action by adding Wess-Zumino terms. The $SO(3)$ invariant WZ action for the $SO(3)$ model is constructed. Quantization of the corresponding modified theory is considered in details. |
hep-th/0307302 | David Tong | David Tong | Monopoles in the Higgs Phase | 8 Pages, 1 Figure. v2: Added references and comments on 3He. v3:
Another reference and corrected term in Lagrangian | Phys.Rev. D69 (2004) 065003 | 10.1103/PhysRevD.69.065003 | null | hep-th hep-ph | null | We describe new solutions of Yang-Mills-Higgs theories consisting of magnetic
monopoles in a phase with fully broken gauge symmetry. Rather than spreading
out radially, the magnetic field lines form flux tubes. The solution is
topologically stable and, when embedded in N=2 SQCD, preserves 1/4 of the
supercharges. From the perspective of the flux-tube the monopole appears as a
kink. Many monopoles may be threaded onto a single flux tube and placed at
arbitrary separation to create a stable, BPS necklace of solitons.
| [
{
"created": "Thu, 31 Jul 2003 19:53:54 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Aug 2003 18:26:30 GMT",
"version": "v2"
},
{
"created": "Thu, 14 Aug 2003 20:44:13 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Tong",
"David",
""
]
] | We describe new solutions of Yang-Mills-Higgs theories consisting of magnetic monopoles in a phase with fully broken gauge symmetry. Rather than spreading out radially, the magnetic field lines form flux tubes. The solution is topologically stable and, when embedded in N=2 SQCD, preserves 1/4 of the supercharges. From the perspective of the flux-tube the monopole appears as a kink. Many monopoles may be threaded onto a single flux tube and placed at arbitrary separation to create a stable, BPS necklace of solitons. |
2004.05474 | Konstantinos Pallikaris | Adolfo Cisterna, Gaston Giribet, Julio Oliva and Konstantinos
Pallikaris | Quasitopological electromagnetism and black holes | LaTeX, 12 pages, 3 figures, as published in Phys. Rev. D 101, 124041
(2020) | Phys. Rev. D 101, 124041 (2020) | 10.1103/PhysRevD.101.124041 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we extend the quasitopological electromagnetism, recently
introduced by H.-S. Liu et al. [arXiv:1907.10876], to arbitrary dimensions by
introducing a fundamental $p$-form field. This allows us to construct new
dyonic black hole solutions in odd dimensions, as well as regular
$D$-dimensional black holes and solitons. The three-dimensional system consists
of a Maxwell field interacting with a scalar field, leading to a deformation of
the Ba\~nados-Teitelboim-Zanelli black hole. We present the general formulas
defining the black hole solutions in arbitrary dimensions in Lovelock theory
and explore the thermal properties of the asymptotically anti-de Sitter black
holes in the gravitational framework of general relativity. In five dimensions,
the latter black holes possess a rich phase space structure in the canonical
ensemble, giving rise to as many as five different black hole phases at a fixed
temperature, for a given range of the parameters.
| [
{
"created": "Sat, 11 Apr 2020 19:55:59 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Jun 2020 12:24:21 GMT",
"version": "v2"
}
] | 2020-06-24 | [
[
"Cisterna",
"Adolfo",
""
],
[
"Giribet",
"Gaston",
""
],
[
"Oliva",
"Julio",
""
],
[
"Pallikaris",
"Konstantinos",
""
]
] | In this paper we extend the quasitopological electromagnetism, recently introduced by H.-S. Liu et al. [arXiv:1907.10876], to arbitrary dimensions by introducing a fundamental $p$-form field. This allows us to construct new dyonic black hole solutions in odd dimensions, as well as regular $D$-dimensional black holes and solitons. The three-dimensional system consists of a Maxwell field interacting with a scalar field, leading to a deformation of the Ba\~nados-Teitelboim-Zanelli black hole. We present the general formulas defining the black hole solutions in arbitrary dimensions in Lovelock theory and explore the thermal properties of the asymptotically anti-de Sitter black holes in the gravitational framework of general relativity. In five dimensions, the latter black holes possess a rich phase space structure in the canonical ensemble, giving rise to as many as five different black hole phases at a fixed temperature, for a given range of the parameters. |
hep-th/0307023 | Chongoh Lee | Yoonbai Kim, Chong Oh Lee, Ilbong Lee, JungJai Lee | Brane World of Warp Geometry: An Introductory Review | A review for astronomers, Published in J. Korean Astronomical
Society, 37, 1 (2004), LaTex, 27 pages, 6 figures | J. Kor. Astron. Soc. 37 (2004) 1-14 | 10.5303/JKAS.2004.37.1.001 | null | hep-th | null | Basic idea of Randall-Sundrum brane world model I and II is reviewed with
detailed calculation. After introducing the brane world metric with exponential
warp factor, metrics of Randall-Sundrum models are constructed. We explain how
Randall-Sundrum model I with two branes makes the gauge hierarchy problem much
milder, and then derive Newtonian gravity in Randall-Sundrum model II with a
single brane by considering small fluctuations.
| [
{
"created": "Wed, 2 Jul 2003 15:24:06 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Apr 2004 07:36:06 GMT",
"version": "v2"
}
] | 2017-01-18 | [
[
"Kim",
"Yoonbai",
""
],
[
"Lee",
"Chong Oh",
""
],
[
"Lee",
"Ilbong",
""
],
[
"Lee",
"JungJai",
""
]
] | Basic idea of Randall-Sundrum brane world model I and II is reviewed with detailed calculation. After introducing the brane world metric with exponential warp factor, metrics of Randall-Sundrum models are constructed. We explain how Randall-Sundrum model I with two branes makes the gauge hierarchy problem much milder, and then derive Newtonian gravity in Randall-Sundrum model II with a single brane by considering small fluctuations. |
2011.04291 | Ali Assem Mahmoud | Ali Assem Mahmoud | Utilizing Enumerative Methods in Quantum Electrodynamics | arXiv admin note: text overlap with arXiv:2009.12688 | null | null | null | hep-th math.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper it is shown that many of the observables in QED-type theories
can be realized in terms of a combinatorial structure called chord diagrams.
One major advantage of this representation is that the asymptotic behaviour of
the corresponding Green functions can be captured completely without appealing
to the usual approach of singularity analysis. This relation also reveals the
unexplained correlation between the number of diagrams in Yukawa theory and the
diagrams in quenched QED.
| [
{
"created": "Fri, 6 Nov 2020 15:31:02 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Apr 2021 17:48:40 GMT",
"version": "v2"
},
{
"created": "Tue, 11 Oct 2022 00:57:34 GMT",
"version": "v3"
}
] | 2022-10-12 | [
[
"Mahmoud",
"Ali Assem",
""
]
] | In this paper it is shown that many of the observables in QED-type theories can be realized in terms of a combinatorial structure called chord diagrams. One major advantage of this representation is that the asymptotic behaviour of the corresponding Green functions can be captured completely without appealing to the usual approach of singularity analysis. This relation also reveals the unexplained correlation between the number of diagrams in Yukawa theory and the diagrams in quenched QED. |
hep-th/0508186 | Cristian Stelea | Robert B. Mann and Cristian Stelea | New Taub-NUT-Reissner-Nordstr\"{o}m spaces in higher dimensions | 10 pages, v.2 References added | Phys.Lett. B632 (2006) 537-542 | 10.1016/j.physletb.2005.10.085 | null | hep-th gr-qc | null | We construct new charged solutions of the Einstein-Maxwell field equations
with cosmological constant. These solutions describe the nut-charged
generalisation of the higher dimensional Reissner-Nordstr\"{o}m spacetimes. For
a negative cosmological constant these solutions are the charged
generalizations of the topological nut-charged black hole solutions in higher
dimensions. Finally, we discuss the global structure of such solutions and
possible applications.
| [
{
"created": "Wed, 24 Aug 2005 21:29:30 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Sep 2005 02:24:10 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Mann",
"Robert B.",
""
],
[
"Stelea",
"Cristian",
""
]
] | We construct new charged solutions of the Einstein-Maxwell field equations with cosmological constant. These solutions describe the nut-charged generalisation of the higher dimensional Reissner-Nordstr\"{o}m spacetimes. For a negative cosmological constant these solutions are the charged generalizations of the topological nut-charged black hole solutions in higher dimensions. Finally, we discuss the global structure of such solutions and possible applications. |
hep-th/9904120 | Andrei Linde | Nemanja Kaloper and Andrei Linde | Cosmology vs. Holography | 8 pages, we added one reference and comments about possible problems
with unitarity and causality of the holographic theory in cosmology | Phys.Rev.D60:103509,1999 | 10.1103/PhysRevD.60.103509 | SU-ITP-99-6 | hep-th astro-ph gr-qc hep-ph | null | The most radical version of the holographic principle asserts that all
information about physical processes in the world can be stored on its surface.
This formulation is at odds with inflationary cosmology, which implies that
physical processes in our part of the universe do not depend on the boundary
conditions. Also, there are some indications that the radical version of the
holographic theory in the context of cosmology may have problems with unitarity
and causality. Another formulation of the holographic principle, due to
Fischler and Susskind, implies that the entropy of matter inside the
post-inflationary particle horizon must be smaller than the area of the
horizon. Their conjecture was very successful for a wide class of open and flat
universes, but it did not apply to closed universes. Bak and Rey proposed a
different holographic bound on entropy which was valid for closed universes of
a certain type. However, as we will show, neither proposal applies to open,
flat and closed universes with matter and a small negative cosmological
constant. We will argue, in agreement with Easther, Lowe, and Veneziano, that
whenever the holographic constraint on the entropy inside the horizon is valid,
it follows from the Bekenstein-Hawking bound on the black hole entropy. These
constraints do not allow one to rule out closed universes and other universes
which may experience gravitational collapse, and do not impose any constraints
on inflationary cosmology.
| [
{
"created": "Mon, 19 Apr 1999 23:52:43 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Jun 1999 18:39:17 GMT",
"version": "v2"
},
{
"created": "Thu, 1 Jul 1999 23:07:37 GMT",
"version": "v3"
}
] | 2009-09-29 | [
[
"Kaloper",
"Nemanja",
""
],
[
"Linde",
"Andrei",
""
]
] | The most radical version of the holographic principle asserts that all information about physical processes in the world can be stored on its surface. This formulation is at odds with inflationary cosmology, which implies that physical processes in our part of the universe do not depend on the boundary conditions. Also, there are some indications that the radical version of the holographic theory in the context of cosmology may have problems with unitarity and causality. Another formulation of the holographic principle, due to Fischler and Susskind, implies that the entropy of matter inside the post-inflationary particle horizon must be smaller than the area of the horizon. Their conjecture was very successful for a wide class of open and flat universes, but it did not apply to closed universes. Bak and Rey proposed a different holographic bound on entropy which was valid for closed universes of a certain type. However, as we will show, neither proposal applies to open, flat and closed universes with matter and a small negative cosmological constant. We will argue, in agreement with Easther, Lowe, and Veneziano, that whenever the holographic constraint on the entropy inside the horizon is valid, it follows from the Bekenstein-Hawking bound on the black hole entropy. These constraints do not allow one to rule out closed universes and other universes which may experience gravitational collapse, and do not impose any constraints on inflationary cosmology. |
1611.02728 | Lakshya Bhardwaj | Lakshya Bhardwaj | Unoriented 3d TFTs | 41 pages, 31 figures, v2: additional references, v3: minor revision | null | 10.1007/JHEP05(2017)048 | null | hep-th cond-mat.str-el math.GT math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper generalizes two facts about oriented 3d TFTs to the unoriented
case. On one hand, it is known that oriented 3d TFTs having a topological
boundary condition admit a state-sum construction known as the Turaev-Viro
construction. This is related to the string-net construction of fermionic
phases of matter. We show how Turaev-Viro construction can be generalized to
unoriented 3d TFTs. On the other hand, it is known that the "fermionic"
versions of oriented TFTs, known as Spin-TFTs, can be constructed in terms of
"shadow" TFTs which are ordinary oriented TFTs with an anomalous $\mathbb{Z}_2$
1-form symmetry. We generalize this correspondence to Pin$^+$-TFTs by showing
that they can be constructed in terms of ordinary unoriented TFTs with
anomalous $\mathbb{Z}_2$ 1-form symmetry having a mixed anomaly with
time-reversal symmetry. The corresponding Pin$^+$-TFT does not have any anomaly
for time-reversal symmetry however and hence it can be unambiguously defined on
a non-orientable manifold. In case a Pin$^+$-TFT admits a topological boundary
condition, one can combine the above two statements to obtain a
Turaev-Viro-like construction of Pin$^+$-TFTs. As an application of these
ideas, we construct a large class of Pin$^+$-SPT phases.
| [
{
"created": "Tue, 8 Nov 2016 21:26:03 GMT",
"version": "v1"
},
{
"created": "Sat, 21 Jan 2017 17:25:13 GMT",
"version": "v2"
},
{
"created": "Sun, 26 Mar 2017 23:17:55 GMT",
"version": "v3"
}
] | 2017-06-07 | [
[
"Bhardwaj",
"Lakshya",
""
]
] | This paper generalizes two facts about oriented 3d TFTs to the unoriented case. On one hand, it is known that oriented 3d TFTs having a topological boundary condition admit a state-sum construction known as the Turaev-Viro construction. This is related to the string-net construction of fermionic phases of matter. We show how Turaev-Viro construction can be generalized to unoriented 3d TFTs. On the other hand, it is known that the "fermionic" versions of oriented TFTs, known as Spin-TFTs, can be constructed in terms of "shadow" TFTs which are ordinary oriented TFTs with an anomalous $\mathbb{Z}_2$ 1-form symmetry. We generalize this correspondence to Pin$^+$-TFTs by showing that they can be constructed in terms of ordinary unoriented TFTs with anomalous $\mathbb{Z}_2$ 1-form symmetry having a mixed anomaly with time-reversal symmetry. The corresponding Pin$^+$-TFT does not have any anomaly for time-reversal symmetry however and hence it can be unambiguously defined on a non-orientable manifold. In case a Pin$^+$-TFT admits a topological boundary condition, one can combine the above two statements to obtain a Turaev-Viro-like construction of Pin$^+$-TFTs. As an application of these ideas, we construct a large class of Pin$^+$-SPT phases. |
0802.1232 | Mithat Unsal | Mikhail Shifman, Mithat Unsal | QCD-like Theories on R_3\times S_1: a Smooth Journey from Small to Large
r(S_1) with Double-Trace Deformations | 49 pages, 2 figures | Phys.Rev.D78:065004,2008 | 10.1103/PhysRevD.78.065004 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider QCD-like theories with one massless fermion in various
representations of the gauge group SU$(N)$. The theories are formulated on
$R_3\times S_1$. In the decompactification limit of large $r(S_1)$ all these
theories are characterized by confinement, mass gap and spontaneous breaking of
a (discrete) chiral symmetry ($\chi$SB). At small $r(S_1)$, in order to
stabilize the vacua of these theories at a center-symmetric point, we suggest
to perform a double trace deformation. With these deformation, the theories at
hand are at weak coupling at small $r(S_1)$ and yet exhibit basic features of
the large-$r(S_1)$ limit: confinement and $\chi$SB. We calculate the string
tension, mass gap, bifermion condensates and $\theta$ dependence. The
double-trace deformation becomes dynamically irrelevant at large $r(S_1)$.
Despite the fact that at small $r(S_1)$ confinement is Abelian, while it is
expected to be non-Abelian at large $r(S_1)$, we argue that small and
large-$r(S_1)$ physics are continuously connected. If so, one can use
small-$r(S_1)$ laboratory to extract lessons about QCD and QCD-like theories on
$R_4$.
| [
{
"created": "Sat, 9 Feb 2008 00:06:43 GMT",
"version": "v1"
}
] | 2010-05-27 | [
[
"Shifman",
"Mikhail",
""
],
[
"Unsal",
"Mithat",
""
]
] | We consider QCD-like theories with one massless fermion in various representations of the gauge group SU$(N)$. The theories are formulated on $R_3\times S_1$. In the decompactification limit of large $r(S_1)$ all these theories are characterized by confinement, mass gap and spontaneous breaking of a (discrete) chiral symmetry ($\chi$SB). At small $r(S_1)$, in order to stabilize the vacua of these theories at a center-symmetric point, we suggest to perform a double trace deformation. With these deformation, the theories at hand are at weak coupling at small $r(S_1)$ and yet exhibit basic features of the large-$r(S_1)$ limit: confinement and $\chi$SB. We calculate the string tension, mass gap, bifermion condensates and $\theta$ dependence. The double-trace deformation becomes dynamically irrelevant at large $r(S_1)$. Despite the fact that at small $r(S_1)$ confinement is Abelian, while it is expected to be non-Abelian at large $r(S_1)$, we argue that small and large-$r(S_1)$ physics are continuously connected. If so, one can use small-$r(S_1)$ laboratory to extract lessons about QCD and QCD-like theories on $R_4$. |
hep-th/0410135 | Jiri Hrivnak | Jiri Hrivnak | Solution of Contraction Equations for the Pauli Grading of sl(3,C) | 51 pages, Diploma Thesis (2003), defended at Czech Technical
University in Prague | null | null | null | hep-th | null | We consider the Pauli grading of the Lie algebra sl(3,C) and use a concept of
graded contractions to construct non-isomorphic Lie algebras of dimension 8,
while preserving the Pauli grading. We show how the symmetry group of a grading
simplifies the solution of contraction equations. We present the list of all
180 non-equivalent solutions of non-linear contraction system.
| [
{
"created": "Tue, 12 Oct 2004 14:39:12 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Hrivnak",
"Jiri",
""
]
] | We consider the Pauli grading of the Lie algebra sl(3,C) and use a concept of graded contractions to construct non-isomorphic Lie algebras of dimension 8, while preserving the Pauli grading. We show how the symmetry group of a grading simplifies the solution of contraction equations. We present the list of all 180 non-equivalent solutions of non-linear contraction system. |
hep-th/0103048 | Leonid Chekhov | L.O.Chekhov and A.K.Khizhnyakov | Gauge anomalies and the Witten-Seiberg correspondence for N=1
supersymmetric theories on noncommutative spaces | 5 pages, no figures | null | null | null | hep-th | null | The explicit form of non-Abelian noncommutative supersymmetric (SUSY) chiral
anomaly is calculated, the Wess-Zumino consistency condition is verified and
the correspondence of the Yang-Mills sector to the previously obtained results
is shown. We generalize the Seiberg-Witten map to the case of N=1 SUSY
Yang-Mills theory and calculations up to the second order in the
noncommutativity parameter are done.
| [
{
"created": "Wed, 7 Mar 2001 16:41:27 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Chekhov",
"L. O.",
""
],
[
"Khizhnyakov",
"A. K.",
""
]
] | The explicit form of non-Abelian noncommutative supersymmetric (SUSY) chiral anomaly is calculated, the Wess-Zumino consistency condition is verified and the correspondence of the Yang-Mills sector to the previously obtained results is shown. We generalize the Seiberg-Witten map to the case of N=1 SUSY Yang-Mills theory and calculations up to the second order in the noncommutativity parameter are done. |
2106.05280 | Guanda Lin | Guanda Lin, Gang Yang, Siyuan Zhang | Three-loop color-kinematics duality: A 24-dimensional solution space
induced by new generalized gauge transformations | 6 pages, 8 figures, 6 pages of appendix; v2: minor changes,
references added, numerical data updated | null | 10.1103/PhysRevLett.127.171602 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We obtain full-color three-loop three-point form factors of the stress-tensor
supermultiplet and also of a length-3 half-BPS operator in N=4 SYM based on the
color-kinematics duality and on-shell unitarity. The integrand results are
verified by all planar and non-planar unitarity cuts, and they satisfy the
minimal power-counting of loop momenta and diagrammatic symmetries.
Interestingly, these three-loop solutions, while manifesting all dual Jacobi
relations, contain a large number of free parameters; in particular, there are
24 free parameters for the form factor of stress-tensor supermultiplet. Such
degrees of freedom are due to a new type of generalized gauge transformation
associated with the operator insertion for form factors. We also perform
numerical integration and obtain consistent full-color infrared divergences and
the known planar remainder. The form factors we obtain can be understood as the
N=4 SYM counterparts of three-loop Higgs plus three-gluon amplitudes in QCD and
are expected to provide the maximally transcendental parts of the latter.
| [
{
"created": "Wed, 9 Jun 2021 18:00:01 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Nov 2021 04:05:06 GMT",
"version": "v2"
}
] | 2021-11-08 | [
[
"Lin",
"Guanda",
""
],
[
"Yang",
"Gang",
""
],
[
"Zhang",
"Siyuan",
""
]
] | We obtain full-color three-loop three-point form factors of the stress-tensor supermultiplet and also of a length-3 half-BPS operator in N=4 SYM based on the color-kinematics duality and on-shell unitarity. The integrand results are verified by all planar and non-planar unitarity cuts, and they satisfy the minimal power-counting of loop momenta and diagrammatic symmetries. Interestingly, these three-loop solutions, while manifesting all dual Jacobi relations, contain a large number of free parameters; in particular, there are 24 free parameters for the form factor of stress-tensor supermultiplet. Such degrees of freedom are due to a new type of generalized gauge transformation associated with the operator insertion for form factors. We also perform numerical integration and obtain consistent full-color infrared divergences and the known planar remainder. The form factors we obtain can be understood as the N=4 SYM counterparts of three-loop Higgs plus three-gluon amplitudes in QCD and are expected to provide the maximally transcendental parts of the latter. |
hep-th/9907197 | Wojtek Zakrzewski | A.E. Kudryavtsev (ITEP, Moscow), B.M.A.G. Piette (Uni. of Durham),
W.J. Zakrzewski (Univ. of Durham) | On the interactions of Skyrmions with domain walls | null | Phys.Rev.D61:025016,2000 | 10.1103/PhysRevD.61.025016 | null | hep-th | null | We study classical solutions of a particular version of the modified Skyrme
model in (3+1) dimensions. The model possesses Skyrmion solutions as well as
stable domain walls that connect different vacua of the theory. We show that
there is an attractive interaction between Skyrmions and domain walls. Thus
Skyrmions can be captured by the domain walls. We show also that, when the mass
term is of a special type, the model possesses bound states of Skyrmions and of
the domain wall. They look like deformed 2-dimensional Skyrmions captured by
the wall. The field configurations of these solutions can interpreted as having
come from the evolution of the 3-dimensional Skyrmions captured by the domain
wall. For more conventional choices of the mass term of the model in the model
the attraction between the Skyrmions and the wall leads to the capture of the
Skyrmions which are then turned into topological waves which spread out on the
wall. We have observed, numerically, such captures and the emission of the
waves.
We speculate that this observation may be useful in the explanation of the
problem of baryogenesis and baryon-antibaryon asymmetry of the Universe.
| [
{
"created": "Tue, 27 Jul 1999 14:33:15 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Kudryavtsev",
"A. E.",
"",
"ITEP, Moscow"
],
[
"Piette",
"B. M. A. G.",
"",
"Uni. of Durham"
],
[
"Zakrzewski",
"W. J.",
"",
"Univ. of Durham"
]
] | We study classical solutions of a particular version of the modified Skyrme model in (3+1) dimensions. The model possesses Skyrmion solutions as well as stable domain walls that connect different vacua of the theory. We show that there is an attractive interaction between Skyrmions and domain walls. Thus Skyrmions can be captured by the domain walls. We show also that, when the mass term is of a special type, the model possesses bound states of Skyrmions and of the domain wall. They look like deformed 2-dimensional Skyrmions captured by the wall. The field configurations of these solutions can interpreted as having come from the evolution of the 3-dimensional Skyrmions captured by the domain wall. For more conventional choices of the mass term of the model in the model the attraction between the Skyrmions and the wall leads to the capture of the Skyrmions which are then turned into topological waves which spread out on the wall. We have observed, numerically, such captures and the emission of the waves. We speculate that this observation may be useful in the explanation of the problem of baryogenesis and baryon-antibaryon asymmetry of the Universe. |
1404.4883 | Gianmassimo Tasinato | Gianmassimo Tasinato (ICG, Portsmouth) | A small cosmological constant from Abelian symmetry breaking | 14 pages, no figures. V2: Added references and a section discussing
coupling with matter. Published version | Class. Quant. Grav. 31 (2014) 225004 | 10.1088/0264-9381/31/22/225004 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate some cosmological consequences of a vector-tensor theory where
an Abelian symmetry in the vector sector is slightly broken by a mass term and
by ghost-free derivative self-interactions. When studying cosmological
expansion in the presence of large bare cosmological constant $\Lambda_{cc}$,
we find that the theory admits branches of de Sitter solutions in which the
scale of the Hubble parameter is inversely proportional to a power of
$\Lambda_{cc}$. Hence, a large value of $\Lambda_{cc}$ leads to a small size
for the Hubble scale. In an appropriate limit, in which the symmetry breaking
parameters are small, the theory recovers the Abelian symmetry plus an
additional Galileon symmetry acting on the longitudinal vector polarization.
The approximate Galileon symmetry can make the structure of this theory stable
at the energy scales we are interested in. We also analyze the dynamics of
linearized cosmological fluctuations around the de Sitter solutions, showing
that no manifest instabilities arise, and that the transverse vector
polarizations become massless around these configurations.
| [
{
"created": "Fri, 18 Apr 2014 20:36:53 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Jan 2015 17:18:40 GMT",
"version": "v2"
}
] | 2015-06-19 | [
[
"Tasinato",
"Gianmassimo",
"",
"ICG, Portsmouth"
]
] | We investigate some cosmological consequences of a vector-tensor theory where an Abelian symmetry in the vector sector is slightly broken by a mass term and by ghost-free derivative self-interactions. When studying cosmological expansion in the presence of large bare cosmological constant $\Lambda_{cc}$, we find that the theory admits branches of de Sitter solutions in which the scale of the Hubble parameter is inversely proportional to a power of $\Lambda_{cc}$. Hence, a large value of $\Lambda_{cc}$ leads to a small size for the Hubble scale. In an appropriate limit, in which the symmetry breaking parameters are small, the theory recovers the Abelian symmetry plus an additional Galileon symmetry acting on the longitudinal vector polarization. The approximate Galileon symmetry can make the structure of this theory stable at the energy scales we are interested in. We also analyze the dynamics of linearized cosmological fluctuations around the de Sitter solutions, showing that no manifest instabilities arise, and that the transverse vector polarizations become massless around these configurations. |
hep-th/0504060 | David Alba | David Alba | Quantum Mechanics in Non-Inertial Frames with a Multi-Temporal
Quantization Scheme: II) Non-Relativistic Particles | null | Int.J.Mod.Phys. A21 (2006) 3917-3946 | 10.1142/S0217751X0603254X | null | hep-th | null | The non-relativistic version of the multi-temporal quantization scheme of
relativistic particles in a family of non-inertial frames (see hep-th/0502194)
is defined. At the classical level the description of a family of non-rigid
non-inertial frames, containing the standard rigidly linear accelereted and
rotating ones, is given in the framework of parametrized Galilei theories. Then
the multi-temporal quantization, in which the gauge variables, describing the
non-inertial effects, are not quantized but considered as c-number generalized
times, is applied to non relativistic particles. It is shown that with a
suitable ordering there is unitary evolution in all times and that, after the
separation of center of mass, it is still possible to identify the inertial
bound states. The few existing results of quantization in rigid non-inertial
frames are recovered as special cases.
| [
{
"created": "Thu, 7 Apr 2005 07:25:31 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Alba",
"David",
""
]
] | The non-relativistic version of the multi-temporal quantization scheme of relativistic particles in a family of non-inertial frames (see hep-th/0502194) is defined. At the classical level the description of a family of non-rigid non-inertial frames, containing the standard rigidly linear accelereted and rotating ones, is given in the framework of parametrized Galilei theories. Then the multi-temporal quantization, in which the gauge variables, describing the non-inertial effects, are not quantized but considered as c-number generalized times, is applied to non relativistic particles. It is shown that with a suitable ordering there is unitary evolution in all times and that, after the separation of center of mass, it is still possible to identify the inertial bound states. The few existing results of quantization in rigid non-inertial frames are recovered as special cases. |
0804.3635 | Chiu Man Ho | Chiu Man Ho and Yu Nakayama | Dangerous Liouville Wave -- exactly marginal but non-conformal
deformation | Improved version to appear in JHEP | JHEP 0807:109,2008 | 10.1088/1126-6708/2008/07/109 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give a non-trivially interacting field theory example of scale invariant
but non-conformal field theory. The model is based on the exactly solvable
Liouville field theory coupled with free scalars deformed by an exactly
marginal operator. We show non-vanishing of the trace of the energy-momentum
tensor by using the quantum Schwinger-Dyson equation for the Liouville field
theory, which is a sophistication of the quantum higher equations of motion for
the Liouville field theory introduced by Alyosha Zamolodchikov. Possibly
dangerous implications for the super-critical string theory will be discussed.
| [
{
"created": "Wed, 23 Apr 2008 03:46:25 GMT",
"version": "v1"
},
{
"created": "Sat, 3 May 2008 03:00:44 GMT",
"version": "v2"
},
{
"created": "Sat, 26 Jul 2008 01:10:53 GMT",
"version": "v3"
}
] | 2014-11-18 | [
[
"Ho",
"Chiu Man",
""
],
[
"Nakayama",
"Yu",
""
]
] | We give a non-trivially interacting field theory example of scale invariant but non-conformal field theory. The model is based on the exactly solvable Liouville field theory coupled with free scalars deformed by an exactly marginal operator. We show non-vanishing of the trace of the energy-momentum tensor by using the quantum Schwinger-Dyson equation for the Liouville field theory, which is a sophistication of the quantum higher equations of motion for the Liouville field theory introduced by Alyosha Zamolodchikov. Possibly dangerous implications for the super-critical string theory will be discussed. |
hep-th/9412105 | null | R.M.Mir -- Kasimov | Different factorizations of the relativistic finite-difference
Schroedinger equation and q-oscillators | 34 pages, REVTEX. Replaced for minor LATEX mistakes | null | null | null | hep-th | null | The concept of the one -- dimensional quantum mechanics in the relativistic
configurational space (RQM) is reviewed briefly. The Relativistic Schroedinger
equation (RSE) arising here is the finite-difference equation with the step
equal to the Compton wave length of the particle. The different generalizations
of the Dirac -- Infeld -- Hall factorizarion method for this case are
constructed. This method enables us to find out all possible finite-difference
generalizations of the most important nonrelativistic integrable case -- the
harmonic oscillator. As it was shown (\cite{kmn},\cite{mir6}) in RQM the
harmonic oscillator = $q$ -- oscillator. It is also shown that the relativistic
and nonrelativistic QM's are different representations of the same theory.
Thetransformation connecting these two representations is found in explicit
form. It could be considered as the generalization of the Kontorovich --
Lebedev transformation.
| [
{
"created": "Mon, 12 Dec 1994 15:59:09 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Dec 1994 19:46:47 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Kasimov",
"R. M. Mir --",
""
]
] | The concept of the one -- dimensional quantum mechanics in the relativistic configurational space (RQM) is reviewed briefly. The Relativistic Schroedinger equation (RSE) arising here is the finite-difference equation with the step equal to the Compton wave length of the particle. The different generalizations of the Dirac -- Infeld -- Hall factorizarion method for this case are constructed. This method enables us to find out all possible finite-difference generalizations of the most important nonrelativistic integrable case -- the harmonic oscillator. As it was shown (\cite{kmn},\cite{mir6}) in RQM the harmonic oscillator = $q$ -- oscillator. It is also shown that the relativistic and nonrelativistic QM's are different representations of the same theory. Thetransformation connecting these two representations is found in explicit form. It could be considered as the generalization of the Kontorovich -- Lebedev transformation. |
1303.5997 | Yuko Urakawa | Jaume Garriga and Yuko Urakawa | Inflation and deformation of conformal field theory | 20 pages, 2 figures, v2: typos corrected, v3: version to appear in
JCAP | JCAP 1307 (2013) 033 | 10.1088/1475-7516/2013/07/033 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It has recently been suggested that a strongly coupled phase of inflation may
be described holographically in terms of a weakly coupled quantum field theory
(QFT). Here, we explore the possibility that the wave function of an
inflationary universe may be given by the partition function of a boundary QFT.
We consider the case when the field theory is a small deformation of a
conformal field theory (CFT), by the addition of a relevant operator O, and
calculate the primordial spectrum predicted in the corresponding holographic
inflation scenario. Using the Ward-Takahashi identity associated with Weyl
rescalings, we derive a simple relation between correlators of the curvature
perturbation and correlators of the deformation operator O at the boundary.
This is done without specifying the bulk theory of gravitation, so that the
result would also apply to cases where the bulk dynamics is strongly coupled.
We comment on the validity of the Suyama-Yamaguchi inequality, relating the
bi-spectrum and tri-spectrum of the curvature perturbation.
| [
{
"created": "Sun, 24 Mar 2013 21:38:21 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Mar 2013 20:53:55 GMT",
"version": "v2"
},
{
"created": "Sun, 1 Sep 2013 18:29:15 GMT",
"version": "v3"
}
] | 2015-06-15 | [
[
"Garriga",
"Jaume",
""
],
[
"Urakawa",
"Yuko",
""
]
] | It has recently been suggested that a strongly coupled phase of inflation may be described holographically in terms of a weakly coupled quantum field theory (QFT). Here, we explore the possibility that the wave function of an inflationary universe may be given by the partition function of a boundary QFT. We consider the case when the field theory is a small deformation of a conformal field theory (CFT), by the addition of a relevant operator O, and calculate the primordial spectrum predicted in the corresponding holographic inflation scenario. Using the Ward-Takahashi identity associated with Weyl rescalings, we derive a simple relation between correlators of the curvature perturbation and correlators of the deformation operator O at the boundary. This is done without specifying the bulk theory of gravitation, so that the result would also apply to cases where the bulk dynamics is strongly coupled. We comment on the validity of the Suyama-Yamaguchi inequality, relating the bi-spectrum and tri-spectrum of the curvature perturbation. |
hep-th/9312135 | null | Michael Crescimanno | Handle Operators in R.C.F.T | 4 pages | null | null | null | hep-th | null | For the series associated to a group or coset R.C.F.T. there is a simple
universal form for the inverse of the handle operator in the ring of fusions.
These formulae may be easily understood from the quantization of the associated
Chern-Simons theory. (Transcript of talk given at STRINGS '93 (Berkeley)
Conference)
| [
{
"created": "Wed, 15 Dec 1993 15:44:22 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Crescimanno",
"Michael",
""
]
] | For the series associated to a group or coset R.C.F.T. there is a simple universal form for the inverse of the handle operator in the ring of fusions. These formulae may be easily understood from the quantization of the associated Chern-Simons theory. (Transcript of talk given at STRINGS '93 (Berkeley) Conference) |
hep-th/0105103 | Dragovich | Branko Dragovich | Adelic Strings and Noncommutativity | 9 pages, no figures, contribution to Proc. XXXVII Karpacz Winter
School | null | 10.1063/1.1419327 | null | hep-th | null | We consider adelic approach to strings and spatial noncommutativity. Path
integral method to string amplitudes is emphasized. Uncertainties in spatial
measurements in quantum gravity are related to noncommutativity between
coordinates. p-Adic and adelic Moyal products are introduced. In particular,
p-adic and adelic counterparts of some real noncommutative scalar solitons are
constructed.
| [
{
"created": "Fri, 11 May 2001 12:57:19 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Dragovich",
"Branko",
""
]
] | We consider adelic approach to strings and spatial noncommutativity. Path integral method to string amplitudes is emphasized. Uncertainties in spatial measurements in quantum gravity are related to noncommutativity between coordinates. p-Adic and adelic Moyal products are introduced. In particular, p-adic and adelic counterparts of some real noncommutative scalar solitons are constructed. |
hep-th/0403119 | James Cline | C.P. Burgess, J.M. Cline, H. Stoica, F. Quevedo | Inflation in Realistic D-Brane Models | 39 pages, 21 figures; added references; identified parameters
combining successful inflation with strong warping, as needed for consistency
of the approximations | JHEP0409:033,2004 | 10.1088/1126-6708/2004/09/033 | DAMTP-2003-141, McGill-04/04 | hep-th | null | We find successful models of D-brane/anti-brane inflation within a string
context. We work within the GKP-KKLT class of type IIB string vacua for which
many moduli are stabilized through fluxes, as recently modified to include
`realistic' orbifold sectors containing standard-model type particles. We allow
all moduli to roll when searching for inflationary solutions and find that
inflation is not generic inasmuch as special choices must be made for the
parameters describing the vacuum. But given these choices inflation can occur
for a reasonably wide range of initial conditions for the brane and antibrane.
We find that D-terms associated with the orbifold blowing-up modes play an
important role in the inflationary dynamics. Since the models contain a
standard-model-like sector after inflation, they open up the possibility of
addressing reheating issues. We calculate predictions for the CMB temperature
fluctuations and find that these can be consistent with observations, but are
generically not deep within the scale-invariant regime and so can allow
appreciable values for $dn_s/d\ln k$ as well as predicting a potentially
observable gravity-wave signal. It is also possible to generate some admixture
of isocurvature fluctuations.
| [
{
"created": "Wed, 10 Mar 2004 19:21:01 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Apr 2004 19:48:34 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Burgess",
"C. P.",
""
],
[
"Cline",
"J. M.",
""
],
[
"Stoica",
"H.",
""
],
[
"Quevedo",
"F.",
""
]
] | We find successful models of D-brane/anti-brane inflation within a string context. We work within the GKP-KKLT class of type IIB string vacua for which many moduli are stabilized through fluxes, as recently modified to include `realistic' orbifold sectors containing standard-model type particles. We allow all moduli to roll when searching for inflationary solutions and find that inflation is not generic inasmuch as special choices must be made for the parameters describing the vacuum. But given these choices inflation can occur for a reasonably wide range of initial conditions for the brane and antibrane. We find that D-terms associated with the orbifold blowing-up modes play an important role in the inflationary dynamics. Since the models contain a standard-model-like sector after inflation, they open up the possibility of addressing reheating issues. We calculate predictions for the CMB temperature fluctuations and find that these can be consistent with observations, but are generically not deep within the scale-invariant regime and so can allow appreciable values for $dn_s/d\ln k$ as well as predicting a potentially observable gravity-wave signal. It is also possible to generate some admixture of isocurvature fluctuations. |
2406.03147 | Juan Jos\'e G\'alvez-Viruet | Juan Jos\'e G\'alvez-Viruet and Felipe J. Llanes-Estrada | A dynamical implementation of canonical second quantization on a quantum
computer | 35 pages, 7 figures | null | null | IPARCOS-UCM-23-140 | hep-th nucl-th quant-ph | http://creativecommons.org/licenses/by/4.0/ | We develop theoretical methods for the implementation of creation and
destruction operators in separate registers of a quantum computer, allowing for
a transparent and dynamical creation and destruction of particle modes in
second quantization in problems with variable particle number. We establish
theorems for the commutation (anticommutation) relations on a finite memory
bank and provide the needed symmetrizing and antisymmetrizing operators.
Finally, we provide formulae in terms of these operators for unitary evolution
under conventional two- and four-body Hamiltonian terms, as well as terms
varying the particle number. In this formalism, the number of qubits needed to
codify $n$ particles with $N_p$ modes each is of order $n\log_2 N_p$. Such
scaling is more efficient than the Jordan-Wigner transformation which requires
$O(N_p)$ qubits, whenever there are a modest number of particles with a large
number of states available to each (and less advantageous for a large number of
particles with few states available to each). And although less efficient, it
is also less cumbersome than compact encoding.
| [
{
"created": "Wed, 5 Jun 2024 11:02:47 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Jun 2024 14:46:21 GMT",
"version": "v2"
}
] | 2024-06-12 | [
[
"Gálvez-Viruet",
"Juan José",
""
],
[
"Llanes-Estrada",
"Felipe J.",
""
]
] | We develop theoretical methods for the implementation of creation and destruction operators in separate registers of a quantum computer, allowing for a transparent and dynamical creation and destruction of particle modes in second quantization in problems with variable particle number. We establish theorems for the commutation (anticommutation) relations on a finite memory bank and provide the needed symmetrizing and antisymmetrizing operators. Finally, we provide formulae in terms of these operators for unitary evolution under conventional two- and four-body Hamiltonian terms, as well as terms varying the particle number. In this formalism, the number of qubits needed to codify $n$ particles with $N_p$ modes each is of order $n\log_2 N_p$. Such scaling is more efficient than the Jordan-Wigner transformation which requires $O(N_p)$ qubits, whenever there are a modest number of particles with a large number of states available to each (and less advantageous for a large number of particles with few states available to each). And although less efficient, it is also less cumbersome than compact encoding. |
1304.0511 | V. Parameswaran Nair | Dimitra Karabali and V.P. Nair | Diffractive Effects and General Boundary Conditions in Casimir Energy | 31 pages, 8 figures | null | 10.1103/PhysRevD.87.105021 | CCNY-HEP 13/1 | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The effect of edges and apertures on the Casimir energy of an arrangement of
plates and boundaries can be calculated in terms of an effective nonlocal
lower-dimensional field theory that lives on the boundary. This formalism has
been developed in a number of previous papers and applied to specific examples
with Dirichlet boundary conditions. Here we generalize the formalism to
arbitrary boundary conditions. As a specific example, the geometry of a flat
plate and a half-plate placed parallel to it is considered for a number of
different boundary conditions and the area-dependent and edge dependent
contributions to the Casimir energy are evaluated. While our results agree with
known results for those special cases (such as the Dirichlet and Neumann
limits) for which other methods of calculation have been used, our formalism is
suitable for general boundary conditions, especially for the diffractive
effects.
| [
{
"created": "Tue, 2 Apr 2013 00:52:04 GMT",
"version": "v1"
}
] | 2013-06-05 | [
[
"Karabali",
"Dimitra",
""
],
[
"Nair",
"V. P.",
""
]
] | The effect of edges and apertures on the Casimir energy of an arrangement of plates and boundaries can be calculated in terms of an effective nonlocal lower-dimensional field theory that lives on the boundary. This formalism has been developed in a number of previous papers and applied to specific examples with Dirichlet boundary conditions. Here we generalize the formalism to arbitrary boundary conditions. As a specific example, the geometry of a flat plate and a half-plate placed parallel to it is considered for a number of different boundary conditions and the area-dependent and edge dependent contributions to the Casimir energy are evaluated. While our results agree with known results for those special cases (such as the Dirichlet and Neumann limits) for which other methods of calculation have been used, our formalism is suitable for general boundary conditions, especially for the diffractive effects. |
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