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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1710.02259
|
Sergei V. Ketov
|
Hiroshi Nakada and Sergei V. Ketov
|
Inflation from higher dimensions
|
24 pages, 3 figures, LateX
|
Phys. Rev. D 96, 123530 (2017)
|
10.1103/PhysRevD.96.123530
|
IPMU17-0130
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive the scalar potential in four spacetime dimensions from an
eight-dimensional $(R+\gamma R^4-2\Lambda-F_4^2)$ gravity model in the presence
of the 4-form $F_4$, with the (modified gravity) coupling constant $\gamma$ and
the cosmological constant $\Lambda$, by using the flux compactification of four
extra dimensions on a 4-sphere with the warp factor. The scalar potential
depends upon two scalar fields: the scalaron and the 4-sphere volume modulus.
We demonstrate that it gives rise to a viable description of cosmological
inflation in the early Universe, with the scalaron playing the role of inflaton
and the volume modulus to be (almost) stabilized at its minimum. We also
speculate about a possibility of embedding our model in eight dimensions into a
modified eight-dimensional supergavity that, in its turn, arises from a
modified eleven-dimensional supergravity.
|
[
{
"created": "Fri, 6 Oct 2017 02:47:43 GMT",
"version": "v1"
}
] |
2018-01-03
|
[
[
"Nakada",
"Hiroshi",
""
],
[
"Ketov",
"Sergei V.",
""
]
] |
We derive the scalar potential in four spacetime dimensions from an eight-dimensional $(R+\gamma R^4-2\Lambda-F_4^2)$ gravity model in the presence of the 4-form $F_4$, with the (modified gravity) coupling constant $\gamma$ and the cosmological constant $\Lambda$, by using the flux compactification of four extra dimensions on a 4-sphere with the warp factor. The scalar potential depends upon two scalar fields: the scalaron and the 4-sphere volume modulus. We demonstrate that it gives rise to a viable description of cosmological inflation in the early Universe, with the scalaron playing the role of inflaton and the volume modulus to be (almost) stabilized at its minimum. We also speculate about a possibility of embedding our model in eight dimensions into a modified eight-dimensional supergavity that, in its turn, arises from a modified eleven-dimensional supergravity.
|
1710.00221
|
Carlo A. Trugenberger
|
M. C. Diamantini and C. A. Trugenberger
|
Topological Network Entanglement as Order Parameter for the Emergence of
Geometry
| null |
New Journal of Physics NJP-106741.R3 (2017)
|
10.1088/1367-2630/aa8f08
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that, in discrete models of quantum gravity, emergent geometric space
can be viewed as the entanglement pattern in a mixed quantum state of the
"universe", characterized by a universal topological network entanglement. As a
concrete example we analyze the recently proposed model in which geometry
emerges due to the condensation of 4-cycles in random regular bipartite graphs,
driven by the combinatorial Ollivier-Ricci curvature. Using this model we show
that the emergence of geometric order decreases the entanglement entropy of
random configurations. The lowest geometric entanglement entropy is realized in
four dimensions.
|
[
{
"created": "Sat, 30 Sep 2017 16:29:24 GMT",
"version": "v1"
}
] |
2017-11-22
|
[
[
"Diamantini",
"M. C.",
""
],
[
"Trugenberger",
"C. A.",
""
]
] |
We show that, in discrete models of quantum gravity, emergent geometric space can be viewed as the entanglement pattern in a mixed quantum state of the "universe", characterized by a universal topological network entanglement. As a concrete example we analyze the recently proposed model in which geometry emerges due to the condensation of 4-cycles in random regular bipartite graphs, driven by the combinatorial Ollivier-Ricci curvature. Using this model we show that the emergence of geometric order decreases the entanglement entropy of random configurations. The lowest geometric entanglement entropy is realized in four dimensions.
|
1205.4980
|
Maria Emilia Guimaraes
|
T. R. P. Carames (IF/UFF), M. E. X. Guimaraes (IF/UFF) and J. M. Hoff
da Silva (FEG/UNESP)
|
Effective gravitational equations for f(R) braneworld models
|
15 pages, no figures. Accepted for publication in the Physical Review
D
|
Phys. Rev. D 87, 106011 (2013)
|
10.1103/PhysRevD.87.106011
| null |
gr-qc hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The viability of achieving gravitational consistent braneworld models in the
framework of a f(R) theory of gravity is investigated. After a careful
generalization of the usual junction conditions encompassing the embedding of
the 3-brane into a f(R) bulk, we provide a prescription giving the necessary
constraints in order to implement the projected second order effective field
equations on the brane.
|
[
{
"created": "Tue, 22 May 2012 16:55:30 GMT",
"version": "v1"
},
{
"created": "Wed, 15 May 2013 20:03:10 GMT",
"version": "v2"
}
] |
2014-10-21
|
[
[
"Carames",
"T. R. P.",
"",
"IF/UFF"
],
[
"Guimaraes",
"M. E. X.",
"",
"IF/UFF"
],
[
"da Silva",
"J. M. Hoff",
"",
"FEG/UNESP"
]
] |
The viability of achieving gravitational consistent braneworld models in the framework of a f(R) theory of gravity is investigated. After a careful generalization of the usual junction conditions encompassing the embedding of the 3-brane into a f(R) bulk, we provide a prescription giving the necessary constraints in order to implement the projected second order effective field equations on the brane.
|
2404.10412
|
Debabrata Ghorai
|
Debabrata Ghorai, Taewon Yuk, Young-Kwon Han, Sang-Jin Sin
|
Classification of the Mott gap
|
16 pages, 6 figures, 3 tables
| null | null | null |
hep-th cond-mat.str-el
|
http://creativecommons.org/licenses/by/4.0/
|
In this paper, we demonstrate the classification of the gap in a holographic
setup by studying the density of states. A gap can be classified into order gap
and Mott gap depending on the presence of the order due to the symmetry
breaking or not. A Mott insulating gap appears in the fermion spectrum due to
the strong Coulomb interaction between the electrons. We then classify all Mott
gaps as well as order gaps in one-flavor and two-flavor fermions. We also
identified possible non-minimal interactions that may produce a flatband.
|
[
{
"created": "Tue, 16 Apr 2024 09:30:12 GMT",
"version": "v1"
}
] |
2024-04-17
|
[
[
"Ghorai",
"Debabrata",
""
],
[
"Yuk",
"Taewon",
""
],
[
"Han",
"Young-Kwon",
""
],
[
"Sin",
"Sang-Jin",
""
]
] |
In this paper, we demonstrate the classification of the gap in a holographic setup by studying the density of states. A gap can be classified into order gap and Mott gap depending on the presence of the order due to the symmetry breaking or not. A Mott insulating gap appears in the fermion spectrum due to the strong Coulomb interaction between the electrons. We then classify all Mott gaps as well as order gaps in one-flavor and two-flavor fermions. We also identified possible non-minimal interactions that may produce a flatband.
|
0911.3433
|
Muxin Han
|
Jonathan Engle, Muxin Han, Thomas Thiemann
|
Canonical path integral measures for Holst and Plebanski gravity. I.
Reduced Phase Space Derivation
|
27 pages, minor corrections
|
Class.Quant.Grav.27:245014,2010
|
10.1088/0264-9381/27/24/245014
| null |
gr-qc hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
An important aspect in defining a path integral quantum theory is the
determination of the correct measure. For interacting theories and theories
with constraints, this is non-trivial, and is normally not the heuristic
"Lebesgue measure" usually used. There have been many determinations of a
measure for gravity in the literature, but none for the Palatini or Holst
formulations of gravity. Furthermore, the relations between different resulting
measures for different formulations of gravity are usually not discussed.
In this paper we use the reduced phase technique in order to derive the
path-integral measure for the Palatini and Holst formulation of gravity, which
is different from the Lebesgue measure up to local measure factors which depend
on the spacetime volume element and spatial volume element.
From this path integral for the Holst formulation of GR we can also give a
new derivation of the Plebanski path integral and discover a discrepancy with
the result due to Buffenoir, Henneaux, Noui and Roche (BHNR) whose origin we
resolve. This paper is the first in a series that aims at better understanding
the relation between canonical LQG and the spin foam approach.
|
[
{
"created": "Tue, 17 Nov 2009 23:56:47 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Jan 2011 20:30:28 GMT",
"version": "v2"
}
] |
2011-01-06
|
[
[
"Engle",
"Jonathan",
""
],
[
"Han",
"Muxin",
""
],
[
"Thiemann",
"Thomas",
""
]
] |
An important aspect in defining a path integral quantum theory is the determination of the correct measure. For interacting theories and theories with constraints, this is non-trivial, and is normally not the heuristic "Lebesgue measure" usually used. There have been many determinations of a measure for gravity in the literature, but none for the Palatini or Holst formulations of gravity. Furthermore, the relations between different resulting measures for different formulations of gravity are usually not discussed. In this paper we use the reduced phase technique in order to derive the path-integral measure for the Palatini and Holst formulation of gravity, which is different from the Lebesgue measure up to local measure factors which depend on the spacetime volume element and spatial volume element. From this path integral for the Holst formulation of GR we can also give a new derivation of the Plebanski path integral and discover a discrepancy with the result due to Buffenoir, Henneaux, Noui and Roche (BHNR) whose origin we resolve. This paper is the first in a series that aims at better understanding the relation between canonical LQG and the spin foam approach.
|
hep-th/0310076
|
Betti Hartmann
|
Yves Brihaye (Universite de Mons, Belgium), Betti Hartmann (IUB,
Germany), Theodora Ioannidou (University of Kent, UK) and Wojtek J.
Zakrzewski (University of Durham, UK)
|
Gravitating SU(N) Monopoles from Harmonic maps
|
12 REVTEX pages, 3 PS-figures; references added, conclusion extended
|
Class.Quant.Grav.21:517-526,2004
|
10.1088/0264-9381/21/2/015
| null |
hep-th
| null |
Spherically symmetric solutions of the SU(N) Einstein-Yang-Mills-Higgs system
are constructed using the harmonic map ansatz. The problem reduces to solving a
set of ordinary differential equations for the appropriate profile functions.
In the SU(2) case, we recover the equations studied in great detail previously,
while for the SU(N) (N > 2) case we find new solutions. In the SU(3) case we
see that our expressions are the gravitating analogues of the solutions
obtained through the SO(3) embedding into SU(2).
|
[
{
"created": "Wed, 8 Oct 2003 13:26:42 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Nov 2003 10:24:20 GMT",
"version": "v2"
}
] |
2010-11-19
|
[
[
"Brihaye",
"Yves",
"",
"Universite de Mons, Belgium"
],
[
"Hartmann",
"Betti",
"",
"IUB,\n Germany"
],
[
"Ioannidou",
"Theodora",
"",
"University of Kent, UK"
],
[
"Zakrzewski",
"Wojtek J.",
"",
"University of Durham, UK"
]
] |
Spherically symmetric solutions of the SU(N) Einstein-Yang-Mills-Higgs system are constructed using the harmonic map ansatz. The problem reduces to solving a set of ordinary differential equations for the appropriate profile functions. In the SU(2) case, we recover the equations studied in great detail previously, while for the SU(N) (N > 2) case we find new solutions. In the SU(3) case we see that our expressions are the gravitating analogues of the solutions obtained through the SO(3) embedding into SU(2).
|
1612.05480
|
Jaume Haro
|
Llibert Arest\'e Sal\'o, Jaume Amor\'os and Jaume de Haro
|
Qualitative study in Loop Quantum Cosmology
|
12 pages, 7 figures. Version accepted for publication in CQG
|
Class.Quant.Grav. 34 (2017) no.23, 235001
|
10.1088/1361-6382/aa9311
| null |
gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This work contains a detailed qualitative analysis, in General Relativity and
in Loop Quantum Cosmology, of the dynamics in the associated phase space of a
scalar field minimally coupled with gravity, whose potential mimics the
dynamics of a perfect fluid with a linear Equation of State (EoS). Dealing with
the orbits (solutions) of the system, we will see that there are analytic ones,
which lead to the same dynamics as the perfect fluid, and our goal is to check
their stability, depending on the value of the EoS parameter, i.e., to show
whether the other orbits converge or diverge to these analytic solutions at
early and late times.
|
[
{
"created": "Fri, 16 Dec 2016 14:23:47 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Dec 2016 11:45:25 GMT",
"version": "v2"
},
{
"created": "Fri, 13 Oct 2017 07:03:07 GMT",
"version": "v3"
}
] |
2017-11-09
|
[
[
"Saló",
"Llibert Aresté",
""
],
[
"Amorós",
"Jaume",
""
],
[
"de Haro",
"Jaume",
""
]
] |
This work contains a detailed qualitative analysis, in General Relativity and in Loop Quantum Cosmology, of the dynamics in the associated phase space of a scalar field minimally coupled with gravity, whose potential mimics the dynamics of a perfect fluid with a linear Equation of State (EoS). Dealing with the orbits (solutions) of the system, we will see that there are analytic ones, which lead to the same dynamics as the perfect fluid, and our goal is to check their stability, depending on the value of the EoS parameter, i.e., to show whether the other orbits converge or diverge to these analytic solutions at early and late times.
|
1410.7865
|
Ignacio Salazar
|
Ignacio Salazar Landea
|
Inhomogeneous superfluids
|
14 pages, 6 figures, references added
| null | null | null |
hep-th cond-mat.other
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show examples of a striped superfluid in a simple $\lambda\varphi^4$ model
at finite velocity and chemical potential with a global $U(1)$ or $U(2)$
symmetry. Whenever the chemical potential is large enough we find flowing
homogeneous solutions and static inhomogeneous solutions at any arbitrary small
velocity. For the $U(1)$ model the inhomogeneous solutions found are
energetically favourable for large enough superfluid velocity and the
homogeneous and inhomogeneous phases are connected via a first order phase
transitions. On the other hand, the $U(2)$ model becomes striped as soon as we
turn on the velocity through a second order phase transition. In both models
increasing the velocity leads to a second order phase transition into a phase
with no condensate.
|
[
{
"created": "Wed, 29 Oct 2014 02:58:35 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Aug 2015 03:34:13 GMT",
"version": "v2"
}
] |
2015-08-10
|
[
[
"Landea",
"Ignacio Salazar",
""
]
] |
We show examples of a striped superfluid in a simple $\lambda\varphi^4$ model at finite velocity and chemical potential with a global $U(1)$ or $U(2)$ symmetry. Whenever the chemical potential is large enough we find flowing homogeneous solutions and static inhomogeneous solutions at any arbitrary small velocity. For the $U(1)$ model the inhomogeneous solutions found are energetically favourable for large enough superfluid velocity and the homogeneous and inhomogeneous phases are connected via a first order phase transitions. On the other hand, the $U(2)$ model becomes striped as soon as we turn on the velocity through a second order phase transition. In both models increasing the velocity leads to a second order phase transition into a phase with no condensate.
|
hep-ph/0001237
|
johann Dischler
|
J. Dischler, T. Sj\"ostrand
|
A Model for the Colour Form Factor of the Proton
|
24 pages, 19 pictures
| null | null |
LU TP 00-01
|
hep-ph
| null |
The total cross-section and the jet cross-section differ at a proton-proton
collision. The latter is divergent if arbitrarily small transverse momenta are
allowed. Even with some fixed lower pt cutoff, increases the jet cross-section
much faster than the total cross-section at high energies. We have in this
paper studied how the divergence could be tamed by colour screening effects
among the partons. To do this we have built a proton model where we assign
momenta, positions and colour-charge to all partons in the proton. We find that
the relative behaviour of the cross-section can be better understood by the
inclusion of this effect.
|
[
{
"created": "Mon, 24 Jan 2000 09:52:46 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Dischler",
"J.",
""
],
[
"Sjöstrand",
"T.",
""
]
] |
The total cross-section and the jet cross-section differ at a proton-proton collision. The latter is divergent if arbitrarily small transverse momenta are allowed. Even with some fixed lower pt cutoff, increases the jet cross-section much faster than the total cross-section at high energies. We have in this paper studied how the divergence could be tamed by colour screening effects among the partons. To do this we have built a proton model where we assign momenta, positions and colour-charge to all partons in the proton. We find that the relative behaviour of the cross-section can be better understood by the inclusion of this effect.
|
2305.08274
|
Amodio Carleo
|
Amodio Carleo, Bilel Ben-Salem
|
The effect of environment in the timing of a pulsar orbiting SgrA*
| null | null | null | null |
gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
Pulsars are rapidly rotating neutron stars emitting intense electromagnetic
radiation that is detected on Earth as regular and precisely timed pulses. By
exploiting their extreme regularity and comparing the real arrival times with a
theoretical model (pulsar timing), it is possible to deduce many physical
information, not only concerning the neutron star and its possible companion,
but also the properties of the interstellar medium, up to tests of General
Relativity. Last but not least, pulsars are used in conjunction with each other
as a galactic-sized detector for the cosmic background of gravitational waves.
In this paper, we investigate the effect of "matter" on the propagation time
delay of photons emitted by a pulsar orbiting a spinning black hole, one of the
most important relativistic effect in pulsar timing. We deduce an analytical
formula for the time delay from geodesic equations, showing how it changes as
the type of matter around the black hole (radiation, dust or dark energy)
varies with respect to previous results, where matter has not been taken into
account. It turns out that while the spin $a$ only induces a shift in the phase
of the maximum delay without increasing or decreasing the delay, the effect of
matter surrounding the black hole results in a noticeable alteration of it. Our
results show that dark energy would give the strongest effect and that,
interestingly, when the pulsar is positioned between the observer and the black
hole a slightly lower pulse delay than in the no-matter case appears. We
estimated these effects for SGR J1745-2900, the closest magnetar orbiting
SgrA*.
|
[
{
"created": "Sun, 14 May 2023 23:12:08 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Nov 2023 18:08:30 GMT",
"version": "v2"
}
] |
2023-11-20
|
[
[
"Carleo",
"Amodio",
""
],
[
"Ben-Salem",
"Bilel",
""
]
] |
Pulsars are rapidly rotating neutron stars emitting intense electromagnetic radiation that is detected on Earth as regular and precisely timed pulses. By exploiting their extreme regularity and comparing the real arrival times with a theoretical model (pulsar timing), it is possible to deduce many physical information, not only concerning the neutron star and its possible companion, but also the properties of the interstellar medium, up to tests of General Relativity. Last but not least, pulsars are used in conjunction with each other as a galactic-sized detector for the cosmic background of gravitational waves. In this paper, we investigate the effect of "matter" on the propagation time delay of photons emitted by a pulsar orbiting a spinning black hole, one of the most important relativistic effect in pulsar timing. We deduce an analytical formula for the time delay from geodesic equations, showing how it changes as the type of matter around the black hole (radiation, dust or dark energy) varies with respect to previous results, where matter has not been taken into account. It turns out that while the spin $a$ only induces a shift in the phase of the maximum delay without increasing or decreasing the delay, the effect of matter surrounding the black hole results in a noticeable alteration of it. Our results show that dark energy would give the strongest effect and that, interestingly, when the pulsar is positioned between the observer and the black hole a slightly lower pulse delay than in the no-matter case appears. We estimated these effects for SGR J1745-2900, the closest magnetar orbiting SgrA*.
|
2302.12851
|
Viraj Meruliya
|
Nathan Benjamin, Scott Collier, Alexander Maloney, Viraj Meruliya
|
Resurgence, Conformal Blocks, and the Sum over Geometries in Quantum
Gravity
|
37 pages, 7 figures; References added
| null |
10.1007/JHEP05(2023)166
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
In two dimensional conformal field theories the limit of large central charge
plays the role of a semi-classical limit. Certain universal observables, such
as conformal blocks involving the exchange of the identity operator, can be
expanded around this classical limit in powers of the central charge $c$. This
expansion is an asymptotic series, so - via the same resurgence analysis
familiar from quantum mechanics - necessitates the existence of
non-perturbative effects. In the case of identity conformal blocks, these new
effects have a simple interpretation: the CFT must possess new primary
operators with dimension of order the central charge. This constrains the data
of CFTs with large central charge in a way that is similar to (but distinct
from) the conformal bootstrap. We study this phenomenon in three ways:
numerically, analytically using Zamolodchikov's recursion relations, and by
considering non-unitary minimal models with large (negative) central charge. In
the holographic dual to a CFT$_2$, the expansion in powers of $c$ is the
perturbative loop expansion in powers of $\hbar$. So our results imply that the
graviton loop expansion is an asymptotic series, whose cure requires the
inclusion of new saddle points in the gravitational path integral. In certain
cases these saddle points have a simple interpretation: they are conical
excesses, particle-like states with negative mass which are not in the physical
spectrum but nevertheless appear as non-manifold saddle points that control the
asymptotic behaviour of the loop expansion. This phenomenon also has an
interpretation in $SL(2,{\mathbb R})$ Chern-Simons theory, where the
non-perturbative effects are associated with the non-Teichm\"uller component of
the moduli space of flat connections.
|
[
{
"created": "Fri, 24 Feb 2023 19:00:17 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Mar 2023 18:36:25 GMT",
"version": "v2"
}
] |
2023-06-07
|
[
[
"Benjamin",
"Nathan",
""
],
[
"Collier",
"Scott",
""
],
[
"Maloney",
"Alexander",
""
],
[
"Meruliya",
"Viraj",
""
]
] |
In two dimensional conformal field theories the limit of large central charge plays the role of a semi-classical limit. Certain universal observables, such as conformal blocks involving the exchange of the identity operator, can be expanded around this classical limit in powers of the central charge $c$. This expansion is an asymptotic series, so - via the same resurgence analysis familiar from quantum mechanics - necessitates the existence of non-perturbative effects. In the case of identity conformal blocks, these new effects have a simple interpretation: the CFT must possess new primary operators with dimension of order the central charge. This constrains the data of CFTs with large central charge in a way that is similar to (but distinct from) the conformal bootstrap. We study this phenomenon in three ways: numerically, analytically using Zamolodchikov's recursion relations, and by considering non-unitary minimal models with large (negative) central charge. In the holographic dual to a CFT$_2$, the expansion in powers of $c$ is the perturbative loop expansion in powers of $\hbar$. So our results imply that the graviton loop expansion is an asymptotic series, whose cure requires the inclusion of new saddle points in the gravitational path integral. In certain cases these saddle points have a simple interpretation: they are conical excesses, particle-like states with negative mass which are not in the physical spectrum but nevertheless appear as non-manifold saddle points that control the asymptotic behaviour of the loop expansion. This phenomenon also has an interpretation in $SL(2,{\mathbb R})$ Chern-Simons theory, where the non-perturbative effects are associated with the non-Teichm\"uller component of the moduli space of flat connections.
|
hep-th/9609198
|
Laszlo Palla
|
Z. Horv\'ath, R.L. Karp and L. Palla
|
On quantum equivalence of dual sigma models: $SL(3)$ examples
|
Plain TEX, 24 pages
|
Nucl.Phys. B490 (1997) 435-456
|
10.1016/S0550-3213(97)00062-X
|
ITP Budapest Report No. 519
|
hep-th
| null |
The equivalence of several $SL(3)$ sigma models and their special Abelian
duals is investigated in the two loop order of perturbation theory. The
investigation is based on extracting and comparing various $\beta$ functions of
the original and dual models. The role of the discrete global symmetries is
emphasized.
|
[
{
"created": "Wed, 25 Sep 1996 08:40:24 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Horváth",
"Z.",
""
],
[
"Karp",
"R. L.",
""
],
[
"Palla",
"L.",
""
]
] |
The equivalence of several $SL(3)$ sigma models and their special Abelian duals is investigated in the two loop order of perturbation theory. The investigation is based on extracting and comparing various $\beta$ functions of the original and dual models. The role of the discrete global symmetries is emphasized.
|
1405.6046
|
Samson Shatashvili
|
Nikita A. Nekrasov and Samson L. Shatashvili
|
Bethe/Gauge correspondence on curved spaces
| null | null |
10.1007/JHEP01(2015)100
| null |
hep-th math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Bethe/gauge correspondence identifies supersymmetric vacua of massive gauge
theories invariant under the two dimensional N=2 Poincare supersymmetry with
the stationary states of some quantum integrable system. The supersymmetric
theory can be twisted in a number of ways, producing a topological field
theory. For these theories we compute the handle gluing operator H. We also
discuss the Gaudin conjecture on the norm of Bethe states and its connection to
H.
|
[
{
"created": "Fri, 23 May 2014 12:54:04 GMT",
"version": "v1"
}
] |
2015-06-19
|
[
[
"Nekrasov",
"Nikita A.",
""
],
[
"Shatashvili",
"Samson L.",
""
]
] |
Bethe/gauge correspondence identifies supersymmetric vacua of massive gauge theories invariant under the two dimensional N=2 Poincare supersymmetry with the stationary states of some quantum integrable system. The supersymmetric theory can be twisted in a number of ways, producing a topological field theory. For these theories we compute the handle gluing operator H. We also discuss the Gaudin conjecture on the norm of Bethe states and its connection to H.
|
hep-th/0204234
|
Hiromitsu Takayanagi
|
Hiromitsu Takayanagi and Tadashi Takayanagi
|
Open Strings in Exactly Solvable Model of Curved Spacetime and PP-Wave
Limit
|
Latex, 32 pages, typos corrected, references added, to appear in
JHEP, eq.(2.22) corrected
|
JHEP 0205 (2002) 012
|
10.1088/1126-6708/2002/05/012
|
UT-02-23
|
hep-th
| null |
In this paper we study the superstring version of the exactly solvable string
model constructed by Russo and Tseytlin. This model represents superstring
theory in a curved spacetime and can be seen as a generalization of the Melvin
background. We investigate D-branes in this model as probes of the background
geometry by constructing the boundary states. We find that spacetime
singularities in the model become smooth at high energy from the viewpoint of
open string. We show that there always exist bulk (movable) D-branes by the
effect of electric flux. The model also includes Nappi-Witten model as the
Penrose limit and supersymmetry is enhanced in the limit. We examine this
phenomenon in the open string spectrum. We also find the similar enhancement of
supersymmetry can be occurred in several coset models.
|
[
{
"created": "Mon, 29 Apr 2002 12:53:48 GMT",
"version": "v1"
},
{
"created": "Wed, 1 May 2002 14:53:33 GMT",
"version": "v2"
},
{
"created": "Fri, 17 May 2002 08:11:30 GMT",
"version": "v3"
},
{
"created": "Thu, 6 Jun 2002 12:00:25 GMT",
"version": "v4"
}
] |
2009-11-07
|
[
[
"Takayanagi",
"Hiromitsu",
""
],
[
"Takayanagi",
"Tadashi",
""
]
] |
In this paper we study the superstring version of the exactly solvable string model constructed by Russo and Tseytlin. This model represents superstring theory in a curved spacetime and can be seen as a generalization of the Melvin background. We investigate D-branes in this model as probes of the background geometry by constructing the boundary states. We find that spacetime singularities in the model become smooth at high energy from the viewpoint of open string. We show that there always exist bulk (movable) D-branes by the effect of electric flux. The model also includes Nappi-Witten model as the Penrose limit and supersymmetry is enhanced in the limit. We examine this phenomenon in the open string spectrum. We also find the similar enhancement of supersymmetry can be occurred in several coset models.
|
hep-th/0601007
|
Neil Turok
|
Gustavo Niz and Neil Turok
|
Classical Propagation of Strings across a Big Crunch/Big Bang
Singularity
|
38 pages, 19 figures
|
Phys.Rev.D75:026001,2007
|
10.1103/PhysRevD.75.026001
| null |
hep-th
| null |
One of the simplest time-dependent solutions of M theory consists of
nine-dimensional Euclidean space times 1+1-dimensional compactified Milne
space-time. With a further modding out by Z_2, the space-time represents two
orbifold planes which collide and re-emerge, a process proposed as an
explanation of the hot big bang. When the two planes are near, the light states
of the theory consist of winding M2-branes, describing fundamental strings in a
particular ten-dimensional background. They suffer no blue-shift as the M
theory dimension collapses, and their equations of motion are regular across
the transition from big crunch to big bang. In this paper, we study the
classical evolution of fundamental strings across the singularity in some
detail. We also develop a simple semi-classical approximation to the quantum
evolution which allows one to compute the quantum production of excitations on
the string and implement it in a simplified example.
|
[
{
"created": "Sun, 1 Jan 2006 15:02:16 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Niz",
"Gustavo",
""
],
[
"Turok",
"Neil",
""
]
] |
One of the simplest time-dependent solutions of M theory consists of nine-dimensional Euclidean space times 1+1-dimensional compactified Milne space-time. With a further modding out by Z_2, the space-time represents two orbifold planes which collide and re-emerge, a process proposed as an explanation of the hot big bang. When the two planes are near, the light states of the theory consist of winding M2-branes, describing fundamental strings in a particular ten-dimensional background. They suffer no blue-shift as the M theory dimension collapses, and their equations of motion are regular across the transition from big crunch to big bang. In this paper, we study the classical evolution of fundamental strings across the singularity in some detail. We also develop a simple semi-classical approximation to the quantum evolution which allows one to compute the quantum production of excitations on the string and implement it in a simplified example.
|
hep-th/0610061
|
Denis Kochan
|
Denis Kochan
|
Noncommutative Lagrange Mechanics
|
This is a contribution to the Proc. of the 3-rd Microconference
"Analytic and Algebraic Methods III"(June 19, 2007, Prague, Czech Republic),
published in SIGMA (Symmetry, Integrability and Geometry: Methods and
Applications) at http://www.emis.de/journals/SIGMA/
|
SIGMA 4:028,2008
|
10.3842/SIGMA.2008.028
| null |
hep-th
| null |
It is proposed how to impose a general type of ''noncommutativity'' within
classical mechanics from first principles. Formulation is performed in
completely alternative way, i.e. without any resort to fuzzy and/or star
product philosophy, which are extensively applied within noncommutative quantum
theories. Newton-Lagrange noncommutative equations of motion are formulated and
their properties are analyzed from the pure geometrical point of view. It is
argued that the dynamical quintessence of the system consists in its kinetic
energy (Riemannian metric) specifying Riemann-Levi-Civita connection and thus
the inertia geodesics of the free motion. Throughout the paper,
''noncommutativity'' is considered as an internal geometric structure of the
configuration space, which can not be ''observed'' per se. Manifestation of the
noncommutative phenomena is mediated by the interaction of the system with
noncommutative background under the consideration. The simplest model of the
interaction (minimal coupling) is proposed and it is shown that guiding affine
connection is modified by the quadratic analog of the Lorentz electromagnetic
force (contortion term).
|
[
{
"created": "Thu, 5 Oct 2006 09:15:17 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Feb 2008 18:39:40 GMT",
"version": "v2"
}
] |
2008-12-19
|
[
[
"Kochan",
"Denis",
""
]
] |
It is proposed how to impose a general type of ''noncommutativity'' within classical mechanics from first principles. Formulation is performed in completely alternative way, i.e. without any resort to fuzzy and/or star product philosophy, which are extensively applied within noncommutative quantum theories. Newton-Lagrange noncommutative equations of motion are formulated and their properties are analyzed from the pure geometrical point of view. It is argued that the dynamical quintessence of the system consists in its kinetic energy (Riemannian metric) specifying Riemann-Levi-Civita connection and thus the inertia geodesics of the free motion. Throughout the paper, ''noncommutativity'' is considered as an internal geometric structure of the configuration space, which can not be ''observed'' per se. Manifestation of the noncommutative phenomena is mediated by the interaction of the system with noncommutative background under the consideration. The simplest model of the interaction (minimal coupling) is proposed and it is shown that guiding affine connection is modified by the quadratic analog of the Lorentz electromagnetic force (contortion term).
|
hep-th/0310278
|
Boris Blankleider
|
B. Blankleider and A. N. Kvinikhidze
|
Comment on "Light-front Schwinger model at finite temperature"
|
8 pages, revtex4, added section refuting the massless limit proposed
in hep-th/0311022
|
Phys.Rev. D69 (2004) 128701
|
10.1103/PhysRevD.69.128701
| null |
hep-th
| null |
In a recent paper by A. Das and X. Zhou [Phys. Rev. D 68, 065017 (2003)] it
is claimed that explicit evaluation of the thermal photon self-energy in the
Schwinger model gives off-shell thermal Green functions that are different in
light-front and conventional quantizations. We show that the claimed difference
originates from an erroneous simplification of the fermion propagator used in
the light-front calculation.
|
[
{
"created": "Thu, 30 Oct 2003 11:15:09 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Dec 2003 20:50:34 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Blankleider",
"B.",
""
],
[
"Kvinikhidze",
"A. N.",
""
]
] |
In a recent paper by A. Das and X. Zhou [Phys. Rev. D 68, 065017 (2003)] it is claimed that explicit evaluation of the thermal photon self-energy in the Schwinger model gives off-shell thermal Green functions that are different in light-front and conventional quantizations. We show that the claimed difference originates from an erroneous simplification of the fermion propagator used in the light-front calculation.
|
1210.3960
|
Alok Laddha
|
Adam Henderson, Alok Laddha, casey Tomlin
|
Constraint algebra in LQG reloaded : Toy model of an Abelian gauge
theory - II Spatial Diffeomorphisms
|
30 pages, 1 figure
|
Phys.Rev. D88 (2013) 4, 044029
|
10.1103/PhysRevD.88.044029
| null |
gr-qc hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In [1] we initiated an approach towards quantizing the Hamiltonian constraint
in Loop Quantum Gravity (LQG) by requiring that it generates an anomaly-free
representation of constraint algebra off-shell. We investigated this issue in
the case of a toy model of a 2+1-dimensional $U(1)^{3}$ gauge theory, which can
be thought of as a weak coupling limit of Euclidean three dimensional gravity.
However in [1] we only focused on the most non-trivial part of the constraint
algebra that involves commutator of two Hamiltonian constraints. In this paper
we continue with our analysis and obtain a representation of full constraint
algebra in loop quantized framework. We show that there is a representation of
the Diffeomorphism group with respect to which the Hamiltonian constraint
quantized in [1] is diffeomorphism covariant. Our work can be thought of as a
potential first step towards resolving some long standing issues with the
Hamiltonian constraint in canonical LQG.
|
[
{
"created": "Mon, 15 Oct 2012 09:47:18 GMT",
"version": "v1"
}
] |
2014-11-13
|
[
[
"Henderson",
"Adam",
""
],
[
"Laddha",
"Alok",
""
],
[
"Tomlin",
"casey",
""
]
] |
In [1] we initiated an approach towards quantizing the Hamiltonian constraint in Loop Quantum Gravity (LQG) by requiring that it generates an anomaly-free representation of constraint algebra off-shell. We investigated this issue in the case of a toy model of a 2+1-dimensional $U(1)^{3}$ gauge theory, which can be thought of as a weak coupling limit of Euclidean three dimensional gravity. However in [1] we only focused on the most non-trivial part of the constraint algebra that involves commutator of two Hamiltonian constraints. In this paper we continue with our analysis and obtain a representation of full constraint algebra in loop quantized framework. We show that there is a representation of the Diffeomorphism group with respect to which the Hamiltonian constraint quantized in [1] is diffeomorphism covariant. Our work can be thought of as a potential first step towards resolving some long standing issues with the Hamiltonian constraint in canonical LQG.
|
1404.4517
|
Philipp Bijan Bahavar
|
Philipp B. Bahavar, Jan Uphoff, Carsten Greiner
|
Hadronic vs. partonic J/psi production in the Statistical Hadronization
Model
|
5 pages, 4 figures
|
Phys. Rev. C 90, 061901 (2014)
|
10.1103/PhysRevC.90.061901
| null |
hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Assuming the Statistical Hadronization Model and charm flavour conservation,
one can quantify the deviation of charm and anti-charm quarks from chemical
equilibrium both in the hadronic phase and in the quark-gluon plasma. By
linking the hadronic fireball volume and the corresponding plasma source volume
via entropy conservation as proposed by Grandchamp et al., a direct comparison
between the $J/\psi$ yields in both pictures can be used to obtain limits for
the charm quark mass in the medium.
|
[
{
"created": "Thu, 17 Apr 2014 13:04:12 GMT",
"version": "v1"
},
{
"created": "Wed, 7 May 2014 13:03:48 GMT",
"version": "v2"
}
] |
2014-12-24
|
[
[
"Bahavar",
"Philipp B.",
""
],
[
"Uphoff",
"Jan",
""
],
[
"Greiner",
"Carsten",
""
]
] |
Assuming the Statistical Hadronization Model and charm flavour conservation, one can quantify the deviation of charm and anti-charm quarks from chemical equilibrium both in the hadronic phase and in the quark-gluon plasma. By linking the hadronic fireball volume and the corresponding plasma source volume via entropy conservation as proposed by Grandchamp et al., a direct comparison between the $J/\psi$ yields in both pictures can be used to obtain limits for the charm quark mass in the medium.
|
hep-ph/9503482
|
Masato Jimbo
|
Masato JIMBO, Tadashi KON, Hidekazu TANAKA, Toshiaki KANEKO and
Minami-Tateya collaboration
|
A System for the Automatic Computation of Cross-Sections Including SUSY
Particles
|
total 6 page (LaTeX file) [To appear in Proc. AIHENP95]
| null | null |
TMCP-95-4
|
hep-ph
| null |
We introduce a new method to treat Majorana fermions on the GRACE system,
which has already been developed for the computation of the matrix elements for
the processes of the standard model. In the standard model, we already have
included such particles as Dirac fermions, gauge bosons and scalar bosons in
the system. On the other hand, there are four Majorana fermions called
neutralinos in the minimal SUSY standard model (MSSM). In consequence, we have
constructed a system for the automatic computation of cross-sections for the
processes of the MSSM. It is remarkable that our system is also applicable for
another model including Majorana fermions once the definition of the model file
is given.
|
[
{
"created": "Fri, 31 Mar 1995 14:18:20 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"JIMBO",
"Masato",
""
],
[
"KON",
"Tadashi",
""
],
[
"TANAKA",
"Hidekazu",
""
],
[
"KANEKO",
"Toshiaki",
""
],
[
"collaboration",
"Minami-Tateya",
""
]
] |
We introduce a new method to treat Majorana fermions on the GRACE system, which has already been developed for the computation of the matrix elements for the processes of the standard model. In the standard model, we already have included such particles as Dirac fermions, gauge bosons and scalar bosons in the system. On the other hand, there are four Majorana fermions called neutralinos in the minimal SUSY standard model (MSSM). In consequence, we have constructed a system for the automatic computation of cross-sections for the processes of the MSSM. It is remarkable that our system is also applicable for another model including Majorana fermions once the definition of the model file is given.
|
1709.08925
|
Sumanta Chakraborty
|
Akash Mishra, Sumanta Chakraborty, Avirup Ghosh and Sudipta Sarkar
|
On the physical process first law for dynamical black holes
|
v3; Minor revision; Published version
|
JHEP 1809, 034 (2018)
|
10.1007/JHEP09(2018)034
| null |
gr-qc hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Physical process version of the first law of black hole mechanics relates the
change in entropy of a perturbed Killing horizon, between two asymptotic cross
sections, to the matter flow into the horizon. Here, we study the mathematical
structure of the physical process first law for a general diffeomorphism
invariant theory of gravity. We analyze the effect of ambiguities in the Wald's
definition of entropy on the physical process first law. We show that for
linearized perturbations, the integrated version of the physical process law,
which determines the change of entropy between two asymptotic cross-sections,
is independent of these ambiguities. In case of entropy change between two
intermediate cross sections of the horizon, we show that it inherits additional
contributions, which coincide with the membrane energy associated with the
horizon fluid. Using this interpretation, we write down a physical process
first law for entropy change between two arbitrary non-stationary cross
sections of the horizon for both general relativity and Lanczos-Lovelock
gravity.
|
[
{
"created": "Tue, 26 Sep 2017 10:16:11 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Aug 2018 13:27:24 GMT",
"version": "v2"
},
{
"created": "Mon, 10 Sep 2018 13:43:25 GMT",
"version": "v3"
}
] |
2018-09-11
|
[
[
"Mishra",
"Akash",
""
],
[
"Chakraborty",
"Sumanta",
""
],
[
"Ghosh",
"Avirup",
""
],
[
"Sarkar",
"Sudipta",
""
]
] |
Physical process version of the first law of black hole mechanics relates the change in entropy of a perturbed Killing horizon, between two asymptotic cross sections, to the matter flow into the horizon. Here, we study the mathematical structure of the physical process first law for a general diffeomorphism invariant theory of gravity. We analyze the effect of ambiguities in the Wald's definition of entropy on the physical process first law. We show that for linearized perturbations, the integrated version of the physical process law, which determines the change of entropy between two asymptotic cross-sections, is independent of these ambiguities. In case of entropy change between two intermediate cross sections of the horizon, we show that it inherits additional contributions, which coincide with the membrane energy associated with the horizon fluid. Using this interpretation, we write down a physical process first law for entropy change between two arbitrary non-stationary cross sections of the horizon for both general relativity and Lanczos-Lovelock gravity.
|
1312.7474
|
Dimitrios Giataganas
|
Dimitrios Giataganas, Hesam Soltanpanahi
|
Heavy Quark Diffusion in Strongly Coupled Anisotropic Plasmas
|
1+25 pages, 17 figures
|
JHEP 1406 (2014) 047
|
10.1007/JHEP06(2014)047
|
WITS-CTP-125
|
hep-th hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the Langevin diffusion of a relativistic heavy quark in anisotropic
strongly coupled theories in the local limit. Firstly, we use the axion
space-dependent deformed anisotropic N=4 sYM, where the geometry anisotropy is
always prolate, while the pressure anisotropy may be prolate or oblate. For
motion along the anisotropic direction we find that the effective temperature
for the quark can be larger than the heat bath temperature, in contrast to what
happens in the isotropic theory. The longitudinal and transverse Langevin
diffusion coefficients depend strongly on the anisotropy, the direction of
motion and the transverse direction considered. We analyze the anisotropy
effects to the coefficients and compare them to each other and to them of the
isotropic theory. To examine the dependence of the coefficients on the type of
the geometry, we consider another bottom-up anisotropic model. Changing the
geometry from prolate to oblate, certain diffusion coefficients interchange
their behaviors. In both anisotropic backgrounds we find cases that the
transverse diffusion coefficient is larger than the longitudinal, but we find
no negative excess noise.
|
[
{
"created": "Sat, 28 Dec 2013 21:10:04 GMT",
"version": "v1"
}
] |
2015-03-25
|
[
[
"Giataganas",
"Dimitrios",
""
],
[
"Soltanpanahi",
"Hesam",
""
]
] |
We study the Langevin diffusion of a relativistic heavy quark in anisotropic strongly coupled theories in the local limit. Firstly, we use the axion space-dependent deformed anisotropic N=4 sYM, where the geometry anisotropy is always prolate, while the pressure anisotropy may be prolate or oblate. For motion along the anisotropic direction we find that the effective temperature for the quark can be larger than the heat bath temperature, in contrast to what happens in the isotropic theory. The longitudinal and transverse Langevin diffusion coefficients depend strongly on the anisotropy, the direction of motion and the transverse direction considered. We analyze the anisotropy effects to the coefficients and compare them to each other and to them of the isotropic theory. To examine the dependence of the coefficients on the type of the geometry, we consider another bottom-up anisotropic model. Changing the geometry from prolate to oblate, certain diffusion coefficients interchange their behaviors. In both anisotropic backgrounds we find cases that the transverse diffusion coefficient is larger than the longitudinal, but we find no negative excess noise.
|
hep-th/9911180
|
Ali Chamseddine
|
A. H. Chamseddine and W. A. Sabra (CAMS, AUB)
|
D=7 SU(2) Gauged Supergravity From D=10 Supergravity
|
10 pages. References added and some comments modified
|
Phys.Lett. B476 (2000) 415-419
|
10.1016/S0370-2693(00)00129-5
|
CAMS/99-04
|
hep-th
| null |
The theory of SU(2) gauged seven-dimensional supergravity is obtained by
compactifying ten dimensional N=1 supergravity on the group manifold SU(2).
|
[
{
"created": "Tue, 23 Nov 1999 17:04:55 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Nov 1999 16:46:10 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Chamseddine",
"A. H.",
"",
"CAMS, AUB"
],
[
"Sabra",
"W. A.",
"",
"CAMS, AUB"
]
] |
The theory of SU(2) gauged seven-dimensional supergravity is obtained by compactifying ten dimensional N=1 supergravity on the group manifold SU(2).
|
2110.14788
|
Carlo Marzo
|
Carlo Marzo
|
Radiatively stable ghost and tachyon freedom in Metric Affine Gravity
|
22 pages, no figures
| null |
10.1103/PhysRevD.106.024045
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We report the existence of a ghost- and tachyon-free sector in metric-affine
theories of gravity, that is invariant under diffeomorphism and a particular
abelian symmetry. In contrast with many studied cases in the literature, the
constraints for unitarity and causality are granted by non-accidental
symmetries and do not ask for further tuning, whose fate under renormalization
would be unclear. Unsurprisingly, the minimal model is massless. We find that a
mechanism to provide mass is accommodated by a simple Stueckelberg extension of
metric-affine gravity involving the non-metricity tensor. A non-trivial result
is that also such an extension describes a ghost- and tachyon-free dynamic
stabilized by the same abelian symmetry. The resulting spectrum of the
collective rank-3, rank-2, and rank-0 Lagrangian is investigated with the
operators recently computed in the literature.
|
[
{
"created": "Wed, 27 Oct 2021 21:40:49 GMT",
"version": "v1"
}
] |
2022-08-03
|
[
[
"Marzo",
"Carlo",
""
]
] |
We report the existence of a ghost- and tachyon-free sector in metric-affine theories of gravity, that is invariant under diffeomorphism and a particular abelian symmetry. In contrast with many studied cases in the literature, the constraints for unitarity and causality are granted by non-accidental symmetries and do not ask for further tuning, whose fate under renormalization would be unclear. Unsurprisingly, the minimal model is massless. We find that a mechanism to provide mass is accommodated by a simple Stueckelberg extension of metric-affine gravity involving the non-metricity tensor. A non-trivial result is that also such an extension describes a ghost- and tachyon-free dynamic stabilized by the same abelian symmetry. The resulting spectrum of the collective rank-3, rank-2, and rank-0 Lagrangian is investigated with the operators recently computed in the literature.
|
hep-ph/9510348
|
Kazunori Takenaga
|
K. Takenaga
|
A Cutoff Constrained by the Oblique Parameters in Electroweak Theory
with Two Massless Higgs Doublets
|
20 pages, Latex, 3 figures are available upon request
|
Prog.Theor.Phys. 95 (1996) 609-620
|
10.1143/PTP.95.609
|
YITP-95-5
|
hep-ph
| null |
Electroweak theory with two massless Higgs doublets is studied by solving
renormalization group equations for coupling constants in one-loop
approximation. A cutoff~$\Lambda$, at which one of quartic couplings in the
Higgs potential blows up, is obtained by imposing constraints from the oblique
parameter $T$ on the quartic couplings at low energy. We find $\Lambda \simeq
0.52\sim 8.4$~TeV at the Higgs mass $M_H=100$ GeV. The cutoff $\Lambda$ is at
most about $60$ TeV even if we take into account the LEP lower bound of
$M_H\simeq 64$ GeV. It cannot reach the Planck or GUT scale due to severe
experimental constraints. It is impossible in the model to realize a large
gauge hierarchy as suggested many years ago by S. Weinberg.
|
[
{
"created": "Thu, 19 Oct 1995 19:27:44 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Takenaga",
"K.",
""
]
] |
Electroweak theory with two massless Higgs doublets is studied by solving renormalization group equations for coupling constants in one-loop approximation. A cutoff~$\Lambda$, at which one of quartic couplings in the Higgs potential blows up, is obtained by imposing constraints from the oblique parameter $T$ on the quartic couplings at low energy. We find $\Lambda \simeq 0.52\sim 8.4$~TeV at the Higgs mass $M_H=100$ GeV. The cutoff $\Lambda$ is at most about $60$ TeV even if we take into account the LEP lower bound of $M_H\simeq 64$ GeV. It cannot reach the Planck or GUT scale due to severe experimental constraints. It is impossible in the model to realize a large gauge hierarchy as suggested many years ago by S. Weinberg.
|
1708.04884
|
Diego Trancanelli
|
Michelangelo Preti, Diego Trancanelli, Edoardo Vescovi
|
Quark-antiquark potential in defect conformal field theory
|
25 pages, 5 figures; v2: minor changes, references added, published
version; v3: clarifications in Sec. 4
|
JHEP 10 (2017) 079
|
10.1007/JHEP10(2017)079
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider antiparallel Wilson lines in N=4 super Yang-Mills in the presence
of a codimension-1 defect. We compute the Wilson lines' expectation value both
at weak coupling, in the gauge theory, and at strong coupling, by finding the
string configurations which are dual to this operator. These configurations
display a Gross-Ooguri transition between a connected, U-shaped string phase
and a phase in which the string breaks into two disconnected surfaces. We
analyze in detail the critical configurations separating the two phases and
compare the string result with the gauge theory one in a certain double scaling
limit.
|
[
{
"created": "Wed, 16 Aug 2017 13:24:23 GMT",
"version": "v1"
},
{
"created": "Sun, 8 Oct 2017 16:23:15 GMT",
"version": "v2"
},
{
"created": "Thu, 19 Oct 2017 16:30:31 GMT",
"version": "v3"
}
] |
2017-10-20
|
[
[
"Preti",
"Michelangelo",
""
],
[
"Trancanelli",
"Diego",
""
],
[
"Vescovi",
"Edoardo",
""
]
] |
We consider antiparallel Wilson lines in N=4 super Yang-Mills in the presence of a codimension-1 defect. We compute the Wilson lines' expectation value both at weak coupling, in the gauge theory, and at strong coupling, by finding the string configurations which are dual to this operator. These configurations display a Gross-Ooguri transition between a connected, U-shaped string phase and a phase in which the string breaks into two disconnected surfaces. We analyze in detail the critical configurations separating the two phases and compare the string result with the gauge theory one in a certain double scaling limit.
|
hep-th/0603166
|
Daniel Krefl
|
Daniel Krefl and Dieter Lust
|
On supersymmetric Minkowski vacua in IIB orientifolds
|
17 pages, 2 figures; More detailed proof for absence of complex flat
directions in susy AdS vacua given; Footnotes and reference added
|
JHEP 0606:023,2006
|
10.1088/1126-6708/2006/06/023
|
LMU-ASC 20/06, MPP-2006-27
|
hep-th
| null |
Supersymmetric Minkowski vacua in IIB orientifold compactifications based on
orbifolds with background fluxes and non-perturbative superpotentials are
investigated. Especially, microscopic requirements and difficulties to obtain
such vacua are discussed. We show that orbifold models with one and two complex
structure moduli and supersymmetric 2-form flux can be successfully stabilized
to such vacua. By taking additional gaugino condensation on fixed space-time
filling D3-branes into account also models without complex structure can be
consistently stabilized to Minkowski vacua.
|
[
{
"created": "Tue, 21 Mar 2006 12:55:30 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Apr 2006 12:24:40 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Krefl",
"Daniel",
""
],
[
"Lust",
"Dieter",
""
]
] |
Supersymmetric Minkowski vacua in IIB orientifold compactifications based on orbifolds with background fluxes and non-perturbative superpotentials are investigated. Especially, microscopic requirements and difficulties to obtain such vacua are discussed. We show that orbifold models with one and two complex structure moduli and supersymmetric 2-form flux can be successfully stabilized to such vacua. By taking additional gaugino condensation on fixed space-time filling D3-branes into account also models without complex structure can be consistently stabilized to Minkowski vacua.
|
hep-th/9408061
|
Gerald Dunne
|
Gerald Dunne
|
Vacuum Mass Spectra for SU(N) Self-Dual Chern-Simons-Higgs Systems
|
19 pages (LaTeX)
|
Nucl.Phys. B433 (1995) 333-350
|
10.1016/0550-3213(94)00476-U
| null |
hep-th
| null |
We study the $SU(N)$ self-dual Chern-Simons-Higgs systems with adjoint matter
coupling, and show that the sixth order self-dual potential has $p(N)$ gauge
inequivalent degenerate minima, where $p(N)$ is the number of partitions of
$N$. We compute the masses of the gauge and scalar excitations in these
different vacua, revealing an intricate mass structure which reflects the
self-dual nature of the model.
|
[
{
"created": "Wed, 10 Aug 1994 13:30:29 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Dunne",
"Gerald",
""
]
] |
We study the $SU(N)$ self-dual Chern-Simons-Higgs systems with adjoint matter coupling, and show that the sixth order self-dual potential has $p(N)$ gauge inequivalent degenerate minima, where $p(N)$ is the number of partitions of $N$. We compute the masses of the gauge and scalar excitations in these different vacua, revealing an intricate mass structure which reflects the self-dual nature of the model.
|
1501.00474
|
Alfonso Sastre
|
Chris P. Korthals Altes and Alfonso Sastre
|
Caloron correction to the effective potential in thermal gluodynamics
|
18 pages, 3 figures
| null | null |
CPT-P003-2014, NIKHEF/2014-049, WUB/14-16
|
hep-th hep-lat hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The effective potential in thermal gluodynamics has stable minima in
perturbation theory. There the Wilson line is center group valued and
eigenvalues of the Wilson line stay clustered. Calorons with non-trivial
holonomy contribute to one loop order a linear term in the holonomy. The sign
is such that the center group minimum stays stable.
|
[
{
"created": "Fri, 2 Jan 2015 20:28:26 GMT",
"version": "v1"
}
] |
2015-01-05
|
[
[
"Altes",
"Chris P. Korthals",
""
],
[
"Sastre",
"Alfonso",
""
]
] |
The effective potential in thermal gluodynamics has stable minima in perturbation theory. There the Wilson line is center group valued and eigenvalues of the Wilson line stay clustered. Calorons with non-trivial holonomy contribute to one loop order a linear term in the holonomy. The sign is such that the center group minimum stays stable.
|
1207.0413
|
Adam Rej
|
Benjamin Basso, Adam Rej
|
On the integrability of two-dimensional models with U(1)xSU(N) symmetry
|
61 pages, 7 figures
| null |
10.1016/j.nuclphysb.2012.09.003
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we study the integrability of a family of models with
U(1)xSU(N) symmetry. They admit fermionic and bosonic formulations related
through bosonization and subsequent T-duality. The fermionic theory is just the
CP^(N-1) sigma model coupled to a self-interacting massless fermion, while the
bosonic one defines a one-parameter deformation of the O(2N) sigma model. For
N=2 the latter model is equivalent to the integrable deformation of the O(4)
sigma model discovered by Wiegmann. At higher values of N we find that
integrability is more sporadic and requires a fine-tuning of the parameters of
the theory. A special case of our study is the N=4 model, which was found to
describe the AdS_4xCP^3 string theory in the Alday-Maldacena decoupling limit.
In this case we propose a set of asymptotic Bethe ansatz equations for the
energy spectrum.
|
[
{
"created": "Mon, 2 Jul 2012 14:51:01 GMT",
"version": "v1"
}
] |
2015-06-05
|
[
[
"Basso",
"Benjamin",
""
],
[
"Rej",
"Adam",
""
]
] |
In this paper we study the integrability of a family of models with U(1)xSU(N) symmetry. They admit fermionic and bosonic formulations related through bosonization and subsequent T-duality. The fermionic theory is just the CP^(N-1) sigma model coupled to a self-interacting massless fermion, while the bosonic one defines a one-parameter deformation of the O(2N) sigma model. For N=2 the latter model is equivalent to the integrable deformation of the O(4) sigma model discovered by Wiegmann. At higher values of N we find that integrability is more sporadic and requires a fine-tuning of the parameters of the theory. A special case of our study is the N=4 model, which was found to describe the AdS_4xCP^3 string theory in the Alday-Maldacena decoupling limit. In this case we propose a set of asymptotic Bethe ansatz equations for the energy spectrum.
|
2403.07665
|
Canberk Sanli
|
Joris Raeymaekers, Canberk Sanli, Dieter Van den Bleeken
|
Superconformal indices and localization in $N=2B$ quantum mechanics
|
31 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Superconformal `type B' quantum mechanical sigma models arise in a variety of
interesting contexts, such as the description of D-brane bound states in an
AdS$_2$ decoupling limit. Focusing on $N=2B$ models, we study superconformal
indices which count short multiplets and provide an alternative to the standard
Witten index, as the latter suffers from infrared issues. We show that the
basic index receives contributions from lowest Landau level states in an
effective magnetic field and that, due to the noncompactness of the target
space, it is typically divergent. Fortunately, the models of interest possess
an additional target space isometry which allows for the definition of a
well-behaved refined index. We compute this index using localization of the
functional integral and find that the result agrees with a naive application of
the Atiyah-Bott fixed point formula outside of it's starting assumptions. In
the simplest examples, this formula can also be directly verified by explicitly
computing the short multiplet spectrum.
|
[
{
"created": "Tue, 12 Mar 2024 13:54:44 GMT",
"version": "v1"
}
] |
2024-03-13
|
[
[
"Raeymaekers",
"Joris",
""
],
[
"Sanli",
"Canberk",
""
],
[
"Bleeken",
"Dieter Van den",
""
]
] |
Superconformal `type B' quantum mechanical sigma models arise in a variety of interesting contexts, such as the description of D-brane bound states in an AdS$_2$ decoupling limit. Focusing on $N=2B$ models, we study superconformal indices which count short multiplets and provide an alternative to the standard Witten index, as the latter suffers from infrared issues. We show that the basic index receives contributions from lowest Landau level states in an effective magnetic field and that, due to the noncompactness of the target space, it is typically divergent. Fortunately, the models of interest possess an additional target space isometry which allows for the definition of a well-behaved refined index. We compute this index using localization of the functional integral and find that the result agrees with a naive application of the Atiyah-Bott fixed point formula outside of it's starting assumptions. In the simplest examples, this formula can also be directly verified by explicitly computing the short multiplet spectrum.
|
hep-th/0108201
|
Christoph Schweigert
|
Pedro Bordalo, Sylvain Ribault, Christoph Schweigert
|
Flux stabilization in compact groups
|
13 pages, 1 figure. Comment and references added
|
JHEP 0110 (2001) 036
|
10.1088/1126-6708/2001/10/036
|
CPTH-S035.0701, PAR-LPTHE 01-36
|
hep-th
| null |
We consider the Born-Infeld action for symmetry-preserving, orientable
D-branes in compact group manifolds. We find classical solutions that obey the
flux quantization condition. They correspond to conformally invariant boundary
conditions on the world sheet. We compute the spectrum of quadratic
fluctuations and find agreement with the predictions of conformal field theory,
up to a missing level-dependent truncation. Our results extend to D-branes with
the geometry of twined conjugacy classes; they illustrate the mechanism of flux
stabilization of D-branes.
|
[
{
"created": "Mon, 27 Aug 2001 19:32:41 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Oct 2001 16:57:13 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Bordalo",
"Pedro",
""
],
[
"Ribault",
"Sylvain",
""
],
[
"Schweigert",
"Christoph",
""
]
] |
We consider the Born-Infeld action for symmetry-preserving, orientable D-branes in compact group manifolds. We find classical solutions that obey the flux quantization condition. They correspond to conformally invariant boundary conditions on the world sheet. We compute the spectrum of quadratic fluctuations and find agreement with the predictions of conformal field theory, up to a missing level-dependent truncation. Our results extend to D-branes with the geometry of twined conjugacy classes; they illustrate the mechanism of flux stabilization of D-branes.
|
hep-th/0206029
|
Changhyun Ahn
|
Changhyun Ahn
|
Penrose Limit of AdS_4 x V_{5,2} and Operators with Large R Charge
|
13 pp, to appear in MPLA
|
Mod.Phys.Lett. A17 (2002) 2067-2078
|
10.1142/S0217732302008654
| null |
hep-th
| null |
We consider M-theory on AdS_4 x V_{5,2} where V_{5,2}= SO(5)/SO(3) is a
Stiefel manifold. We construct a Penrose limit of AdS_4 x V_{5,2} that provides
the pp-wave geometry. There exists a subsector of three dimensional N=2 dual
gauge theory, by taking both the conformal dimension and R charge large with
the finiteness of their difference, which has enhanced N=8 maximal
supersymmetry. We identify operators in the N=2 gauge theory with supergravity
KK excitations in the pp-wave geometry and describe how the gauge theory
operators made out of chiral field of conformal dimension 1/3 fall into N=8
supermultiplets.
|
[
{
"created": "Tue, 4 Jun 2002 12:03:27 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Oct 2002 11:12:12 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Ahn",
"Changhyun",
""
]
] |
We consider M-theory on AdS_4 x V_{5,2} where V_{5,2}= SO(5)/SO(3) is a Stiefel manifold. We construct a Penrose limit of AdS_4 x V_{5,2} that provides the pp-wave geometry. There exists a subsector of three dimensional N=2 dual gauge theory, by taking both the conformal dimension and R charge large with the finiteness of their difference, which has enhanced N=8 maximal supersymmetry. We identify operators in the N=2 gauge theory with supergravity KK excitations in the pp-wave geometry and describe how the gauge theory operators made out of chiral field of conformal dimension 1/3 fall into N=8 supermultiplets.
|
2103.14684
|
Martin Hurtado Heredia
|
A.E. Faraggi, S. Groot Nibbelink, M. Hurtado-Heredia
|
Constraint on Spinor-Vector Dualities in Six Dimensions
|
1+19 pages, LaTeX
|
Phys. Rev. D 103, 126016 (2021)
|
10.1103/PhysRevD.103.126016
|
LTH-1258
|
hep-th hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
Imprints of spinor-vector dualities have been uncovered in various string
constructions. They are typically induced by changing certain free general GSO
phases in the underlying string partition functions. This paper shows that
spinor-vector dualities in six dimensions are constrained by a fundamental
effective field theory consistency condition, namely that any six dimensional
low energy theory must be free of irreducible SO(2N) anomalies. Aspects of
spinor-vector dualities are analysed in four six-dimensional free fermionic
models which are distinguished by two generalised GSO phases. In addition, the
constraint on the number of spinors and vectors is confirmed on generic spectra
which may occur in K3 line bundle compactifications of the heterotic E8xE8
string.
|
[
{
"created": "Fri, 26 Mar 2021 18:47:21 GMT",
"version": "v1"
}
] |
2021-06-23
|
[
[
"Faraggi",
"A. E.",
""
],
[
"Nibbelink",
"S. Groot",
""
],
[
"Hurtado-Heredia",
"M.",
""
]
] |
Imprints of spinor-vector dualities have been uncovered in various string constructions. They are typically induced by changing certain free general GSO phases in the underlying string partition functions. This paper shows that spinor-vector dualities in six dimensions are constrained by a fundamental effective field theory consistency condition, namely that any six dimensional low energy theory must be free of irreducible SO(2N) anomalies. Aspects of spinor-vector dualities are analysed in four six-dimensional free fermionic models which are distinguished by two generalised GSO phases. In addition, the constraint on the number of spinors and vectors is confirmed on generic spectra which may occur in K3 line bundle compactifications of the heterotic E8xE8 string.
|
gr-qc/0512055
|
Charles Hoyle
|
E.G. Adelberger, Nathan A. Collins and C.D. Hoyle
|
Analytic expressions for gravitational inner multipole moments of
elementary solids and for the force between two rectangular solids
|
12 pages, as published in CQG
|
Class.Quant.Grav.23:125-136,2006; Erratum.ibid.23:5463,2006
|
10.1088/0264-9381/23/1/007 10.1088/0264-9381/23/17/C02
| null |
gr-qc
| null |
We give analytic expressions for the gravitational inner spherical multipole
moments, q_{lm} with l <= 5, for 11 elementary solid shapes. These moments, in
conjunction with their known rotational and translational properties, can be
used to calculate precisely the moments of complex objects that may be
assembled from the elementary shapes. We also give an analytic expression for
the gravitational force between two rectangular solids at arbitrary
separations. These expressions are useful for computing the gravitational
properties of complex instruments, such as those used in equivalence principle
tests, and in the gravitational balancing of drag-free spacecraft.
|
[
{
"created": "Fri, 9 Dec 2005 02:30:36 GMT",
"version": "v1"
}
] |
2010-11-05
|
[
[
"Adelberger",
"E. G.",
""
],
[
"Collins",
"Nathan A.",
""
],
[
"Hoyle",
"C. D.",
""
]
] |
We give analytic expressions for the gravitational inner spherical multipole moments, q_{lm} with l <= 5, for 11 elementary solid shapes. These moments, in conjunction with their known rotational and translational properties, can be used to calculate precisely the moments of complex objects that may be assembled from the elementary shapes. We also give an analytic expression for the gravitational force between two rectangular solids at arbitrary separations. These expressions are useful for computing the gravitational properties of complex instruments, such as those used in equivalence principle tests, and in the gravitational balancing of drag-free spacecraft.
|
hep-th/9703028
|
Oleg Soloviev
|
I. I. Kogan (Oxford Univ.), A. Lewis (Oxford Univ.) and O. A. Soloviev
(Queen Mary College)
|
Knizhnik-Zamolodchikov-type equations for gauged WZNW models
|
24 pages, latex, no figures. More discussion of logarithmic operators
was added
|
Int.J.Mod.Phys.A13:1345-1367,1998
|
10.1142/S0217751X98000639
|
QMW-PH-97-5, OU-TP-97-11P
|
hep-th
| null |
We study correlation functions of coset constructions by utilizing the method
of gauge dressing. As an example we apply this method to the minimal models and
to the Witten 2D black hole. We exhibit a striking similarity between the
latter and the gravitational dressing. In particular, we look for logarithmic
operators in the 2D black hole.
|
[
{
"created": "Tue, 4 Mar 1997 16:38:31 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Mar 1997 11:49:02 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Kogan",
"I. I.",
"",
"Oxford Univ."
],
[
"Lewis",
"A.",
"",
"Oxford Univ."
],
[
"Soloviev",
"O. A.",
"",
"Queen Mary College"
]
] |
We study correlation functions of coset constructions by utilizing the method of gauge dressing. As an example we apply this method to the minimal models and to the Witten 2D black hole. We exhibit a striking similarity between the latter and the gravitational dressing. In particular, we look for logarithmic operators in the 2D black hole.
|
1806.02094
|
Prado Martin-Moruno
|
Prado Martin-Moruno, Matt Visser
|
Hawking-Ellis type III spacetime geometry
|
22 pages, 1 figure
| null |
10.1088/1361-6382/aad473
| null |
gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The type III (and the "essential core" type III$_0$) stress-energy tensors in
the Hawking-Ellis (Segre-Plebanski) classification stand out in that there is
to date no known source (either classical or semi-classical) leading to type
III stress-energy. (In contrast the Hawking-Ells types I and II occur
classically, and type IV is known to occur semi-classically). We instead start
by asking the obverse question: What sort of spacetime (assuming the Einstein
equations) needs a type III stress-energy to support it? One key observation is
that type III is incompatible with either planar or spherical symmetry, so one
should be looking at spacetimes of low symmetry (or no symmetry). Finding such
a type III spacetime is a matter of somehow finding an appropriate ansatz for
the metric, calculating the Einstein tensor, and analyzing the pattern of
(Lorentz invariant) eigenvalues and eigenvectors. Herein we report some
(partial) success along these lines - we explicitly exhibit several (somewhat
unnatural) spacetime geometries with a type III Einstein tensor. We then build
an explicit but somewhat odd Lagrangian model leading (in Minkowski space) to
type III stress-energy. While we still have no fully acceptable general
physical model for type III stress-energy, we can at least say something about
what such a stress-energy tensor would entail.
|
[
{
"created": "Wed, 6 Jun 2018 10:06:45 GMT",
"version": "v1"
}
] |
2018-08-29
|
[
[
"Martin-Moruno",
"Prado",
""
],
[
"Visser",
"Matt",
""
]
] |
The type III (and the "essential core" type III$_0$) stress-energy tensors in the Hawking-Ellis (Segre-Plebanski) classification stand out in that there is to date no known source (either classical or semi-classical) leading to type III stress-energy. (In contrast the Hawking-Ells types I and II occur classically, and type IV is known to occur semi-classically). We instead start by asking the obverse question: What sort of spacetime (assuming the Einstein equations) needs a type III stress-energy to support it? One key observation is that type III is incompatible with either planar or spherical symmetry, so one should be looking at spacetimes of low symmetry (or no symmetry). Finding such a type III spacetime is a matter of somehow finding an appropriate ansatz for the metric, calculating the Einstein tensor, and analyzing the pattern of (Lorentz invariant) eigenvalues and eigenvectors. Herein we report some (partial) success along these lines - we explicitly exhibit several (somewhat unnatural) spacetime geometries with a type III Einstein tensor. We then build an explicit but somewhat odd Lagrangian model leading (in Minkowski space) to type III stress-energy. While we still have no fully acceptable general physical model for type III stress-energy, we can at least say something about what such a stress-energy tensor would entail.
|
hep-th/0610212
|
Sebastian Franco
|
Riccardo Argurio, Matteo Bertolini, Sebastian Franco and Shamit Kachru
|
Gauge/gravity duality and meta-stable dynamical supersymmetry breaking
|
45 pages, 19 figures. v2: comment on stability of dynamical masses
and one reference added, typos corrected
|
JHEP 0701:083,2007
|
10.1088/1126-6708/2007/01/083
| null |
hep-th
| null |
We engineer a class of quiver gauge theories with several interesting
features by studying D-branes at a simple Calabi-Yau singularity. At weak 't
Hooft coupling we argue using field theory techniques that these theories admit
both supersymmetric vacua and meta-stable non-supersymmetric vacua, though the
arguments indicating the existence of the supersymmetry breaking states are not
decisive. At strong 't Hooft coupling we find simple candidate gravity dual
descriptions for both sets of vacua.
|
[
{
"created": "Wed, 18 Oct 2006 20:02:05 GMT",
"version": "v1"
},
{
"created": "Thu, 10 May 2007 16:09:02 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Argurio",
"Riccardo",
""
],
[
"Bertolini",
"Matteo",
""
],
[
"Franco",
"Sebastian",
""
],
[
"Kachru",
"Shamit",
""
]
] |
We engineer a class of quiver gauge theories with several interesting features by studying D-branes at a simple Calabi-Yau singularity. At weak 't Hooft coupling we argue using field theory techniques that these theories admit both supersymmetric vacua and meta-stable non-supersymmetric vacua, though the arguments indicating the existence of the supersymmetry breaking states are not decisive. At strong 't Hooft coupling we find simple candidate gravity dual descriptions for both sets of vacua.
|
0711.0302
|
K G Arun
|
K. G. Arun, Luc Blanchet, Bala R. Iyer and Moh'd S. S. Qusailah
|
Inspiralling compact binaries in quasi-elliptical orbits: The complete
third post-Newtonian energy flux
|
40 pages. Minor changes in text throughout. Minor typos in Eqs.
(3.3b), (7.7f), (8.19d) and (8.20) corrected. Matches the published version
|
Phys. Rev. D 77, 064035 (2008)
|
10.1103/PhysRevD.77.064035
| null |
gr-qc
| null |
The instantaneous contributions to the 3PN gravitational wave luminosity from
the inspiral phase of a binary system of compact objects moving in a quasi
elliptical orbit is computed using the multipolar post-Minkowskian wave
generation formalism. The necessary inputs for this calculation include the 3PN
accurate mass quadrupole moment for general orbits and the mass octupole and
current quadrupole moments at 2PN. Using the recently obtained 3PN
quasi-Keplerian representation of elliptical orbits the flux is averaged over
the binary's orbit. Supplementing this by the important hereditary
contributions arising from tails, tails-of-tails and tails squared terms
calculated in a previous paper, the complete 3PN energy flux is obtained. The
final result presented in this paper would be needed for the construction of
ready-to-use templates for binaries moving on non-circular orbits, a plausible
class of sources not only for the space based detectors like LISA but also for
the ground based ones.
|
[
{
"created": "Fri, 2 Nov 2007 13:15:07 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Apr 2008 21:55:26 GMT",
"version": "v2"
}
] |
2009-11-13
|
[
[
"Arun",
"K. G.",
""
],
[
"Blanchet",
"Luc",
""
],
[
"Iyer",
"Bala R.",
""
],
[
"Qusailah",
"Moh'd S. S.",
""
]
] |
The instantaneous contributions to the 3PN gravitational wave luminosity from the inspiral phase of a binary system of compact objects moving in a quasi elliptical orbit is computed using the multipolar post-Minkowskian wave generation formalism. The necessary inputs for this calculation include the 3PN accurate mass quadrupole moment for general orbits and the mass octupole and current quadrupole moments at 2PN. Using the recently obtained 3PN quasi-Keplerian representation of elliptical orbits the flux is averaged over the binary's orbit. Supplementing this by the important hereditary contributions arising from tails, tails-of-tails and tails squared terms calculated in a previous paper, the complete 3PN energy flux is obtained. The final result presented in this paper would be needed for the construction of ready-to-use templates for binaries moving on non-circular orbits, a plausible class of sources not only for the space based detectors like LISA but also for the ground based ones.
|
hep-ph/0211254
|
Pierre Sikivie
|
P. Sikivie (U. of Florida)
|
Axions and their Distribution in Galactic Halos
|
10 pages, 1 figure, invited talk at the IDM2002 conference, September
2-6, 2002 in York, England
| null |
10.1142/9789812791313_0030
|
UFIFT-HEP-02-33
|
hep-ph astro-ph
| null |
Axion physics is briefly reviewed. Constraints from laboratory searches,
astrophysics and cosmology require the axion mass to be in the range $10^{-6}
\lesssim m_a < 3\cdot 10^{-3}$eV. Near the lower end of this range, axions are
all or a major component of the cold dark matter of the universe. The late
infall of axions, and of any other cold dark matter particles, onto our galaxy
produces streams and caustics in its halo. The outer caustics are topological
spheres whereas the inner caustics are rings. The self-similar model of
galactic halo formation predicts that the caustic ring radii $a_n$ obey the
approximate law $a_n \sim 1/n$. Evidence for this law has been found in a
statistical study of 32 extended and well-measured external galactic rotation
curves, and in the existence and distribution of sharp rises in the Milky Way
rotation curve. Moreover, a triangular feature in the IRAS map of the Galactic
plane is consistent with the imprint of a ring caustic upon the baryonic
matter. Its position coincides with a rise in the rotation curve, the one
nearest to us. These observations imply that the dark matter in our
neighborhood is dominated by a single flow. Estimates of that flow's density
and velocity vector are given.
|
[
{
"created": "Fri, 15 Nov 2002 22:08:16 GMT",
"version": "v1"
}
] |
2017-08-23
|
[
[
"Sikivie",
"P.",
"",
"U. of Florida"
]
] |
Axion physics is briefly reviewed. Constraints from laboratory searches, astrophysics and cosmology require the axion mass to be in the range $10^{-6} \lesssim m_a < 3\cdot 10^{-3}$eV. Near the lower end of this range, axions are all or a major component of the cold dark matter of the universe. The late infall of axions, and of any other cold dark matter particles, onto our galaxy produces streams and caustics in its halo. The outer caustics are topological spheres whereas the inner caustics are rings. The self-similar model of galactic halo formation predicts that the caustic ring radii $a_n$ obey the approximate law $a_n \sim 1/n$. Evidence for this law has been found in a statistical study of 32 extended and well-measured external galactic rotation curves, and in the existence and distribution of sharp rises in the Milky Way rotation curve. Moreover, a triangular feature in the IRAS map of the Galactic plane is consistent with the imprint of a ring caustic upon the baryonic matter. Its position coincides with a rise in the rotation curve, the one nearest to us. These observations imply that the dark matter in our neighborhood is dominated by a single flow. Estimates of that flow's density and velocity vector are given.
|
hep-th/9802145
|
Margherita Disertori
|
M. Disertori, V. Rivasseau (Centre de Physique Theorique, CNRS UPR,
Ecole Polytechnique, France)
|
Continuous Constructive Fermionic Renormalization
|
63 pages, 23 figures, LateX file. version 2 : rewriting subsections
IV.3.4 and IV.3.5, 2 figures added and some typos corrected
|
Annales Henri Poincare 1:1-57,2000
| null | null |
hep-th
| null |
We build the two dimensional Gross-Neveu model by a new method which requires
neither cluster expansion nor discretization of phase-space. It simply
reorganizes the perturbative series in terms of trees. With this method we can
for the first time define non perturbatively the renormalization group
differential equations of the model and at the same time construct explicitly
their solution.
|
[
{
"created": "Fri, 20 Feb 1998 17:03:11 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Apr 1998 14:24:40 GMT",
"version": "v2"
}
] |
2009-05-07
|
[
[
"Disertori",
"M.",
"",
"Centre de Physique Theorique, CNRS UPR,\n Ecole Polytechnique, France"
],
[
"Rivasseau",
"V.",
"",
"Centre de Physique Theorique, CNRS UPR,\n Ecole Polytechnique, France"
]
] |
We build the two dimensional Gross-Neveu model by a new method which requires neither cluster expansion nor discretization of phase-space. It simply reorganizes the perturbative series in terms of trees. With this method we can for the first time define non perturbatively the renormalization group differential equations of the model and at the same time construct explicitly their solution.
|
0812.4251
|
Miguel Sabido
|
W. Guzm\'an, M. Sabido and J. Socorro
|
On Noncommutative Minisuperspace and the Friedmann equations
|
4 pages, no figures, revtex
|
Phys.Lett.B697:271-274,2011
|
10.1016/j.physletb.2011.02.012
| null |
gr-qc astro-ph hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we present noncommutative version of scalar field cosmology. We
find the noncommutative Friedmann equations as well as the noncommutative
Klein-Gordon equation. Interestingly the noncommutative contributions are only
present up to second order in the noncommutitive parameter. Finally we conclude
that if we want a noncommutative minisuperspace with a constant noncommutative
parameter as viable phenomenological model, the noncommuative parameter is very
small.
|
[
{
"created": "Mon, 22 Dec 2008 17:37:50 GMT",
"version": "v1"
}
] |
2011-03-02
|
[
[
"Guzmán",
"W.",
""
],
[
"Sabido",
"M.",
""
],
[
"Socorro",
"J.",
""
]
] |
In this paper we present noncommutative version of scalar field cosmology. We find the noncommutative Friedmann equations as well as the noncommutative Klein-Gordon equation. Interestingly the noncommutative contributions are only present up to second order in the noncommutitive parameter. Finally we conclude that if we want a noncommutative minisuperspace with a constant noncommutative parameter as viable phenomenological model, the noncommuative parameter is very small.
|
hep-th/9110042
|
V. P. Nair
|
V.P.Nair (Columbia University)
|
K\"ahler-Chern-Simons Theory
|
10 pages. Invited talks at Strings and Symmetries 1991, Stonybrook,
May 1991 and the XXth International Conference on Differential Geometric
Methods in Theoretical Physics, New York, June 1991
| null | null | null |
hep-th
| null |
K\"ahler-Chern-Simons theory describes antiself-dual gauge fields on a four-
dimensional K\"ahler manifold. The phase space is the space of gauge
potentials, the symplectic reduction of which by the constraints of
antiself-duality leads to the moduli space of antiself-dula instantons. We
outline the theory highlighting the symmetries, their canonical realization and
some properties of the quantum wave functions. The relationship to integrable
systems via dimensional reduction is briefly discussed.
|
[
{
"created": "Tue, 15 Oct 1991 15:35:36 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Nair",
"V. P.",
"",
"Columbia University"
]
] |
K\"ahler-Chern-Simons theory describes antiself-dual gauge fields on a four- dimensional K\"ahler manifold. The phase space is the space of gauge potentials, the symplectic reduction of which by the constraints of antiself-duality leads to the moduli space of antiself-dula instantons. We outline the theory highlighting the symmetries, their canonical realization and some properties of the quantum wave functions. The relationship to integrable systems via dimensional reduction is briefly discussed.
|
0707.2315
|
Oscar Varela
|
Jerome P. Gauntlett and Oscar Varela
|
Consistent Kaluza-Klein Reductions for General Supersymmetric AdS
Solutions
|
21 pages; v2: References, some minor comments, and acknowledgements
added. Version to appear in Phys. Rev. D
|
Phys.Rev.D76:126007,2007
|
10.1103/PhysRevD.76.126007
| null |
hep-th
| null |
For the most general supersymmetric solutions of type IIB supergravity
consisting of a warped product of AdS_5 with a five-dimensional manifold M_5,
we construct an explicit consistent Kaluza-Klein reduction on M_5 to minimal
D=5 gauged supergravity. Thus, any solution of the gauged supergravity can be
uplifted on M_5 to obtain an exact solution of type IIB supergravity. We also
show that for general AdS_4 x SE_7 solutions, where SE_7 is a seven-dimensional
Sasaki-Einstein manifold, and for a general class of supersymmetric solutions
that are a warped product of AdS_4 with a seven-dimensional manifold N_7, there
is an analogous consistent reduction to minimal D=4 gauged supergravity.
|
[
{
"created": "Mon, 16 Jul 2007 13:14:40 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Nov 2007 10:26:55 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Gauntlett",
"Jerome P.",
""
],
[
"Varela",
"Oscar",
""
]
] |
For the most general supersymmetric solutions of type IIB supergravity consisting of a warped product of AdS_5 with a five-dimensional manifold M_5, we construct an explicit consistent Kaluza-Klein reduction on M_5 to minimal D=5 gauged supergravity. Thus, any solution of the gauged supergravity can be uplifted on M_5 to obtain an exact solution of type IIB supergravity. We also show that for general AdS_4 x SE_7 solutions, where SE_7 is a seven-dimensional Sasaki-Einstein manifold, and for a general class of supersymmetric solutions that are a warped product of AdS_4 with a seven-dimensional manifold N_7, there is an analogous consistent reduction to minimal D=4 gauged supergravity.
|
hep-ph/0203120
|
Stefan Dittmaier
|
Stefan Dittmaier and Andreas Kaiser
|
Photonic and QCD radiative corrections to Higgs-boson production in mu+
mu- --> f fbar
|
39 pages, latex, 19 postscript files
|
Phys.Rev. D65 (2002) 113003
|
10.1103/PhysRevD.65.113003
|
DESY 02-024, PSI-PR-02-02
|
hep-ph
| null |
The photonic and QCD radiative corrections at next-to-leading order are
calculated for fermion-pair production at muon colliders, maintaining the full
mass dependence and helicity information of the muons and the produced
fermions. Higher-order effects of initial-state radiation are included at the
leading logarithmic level. In the calculation particular attention is paid to
the issue of gauge invariance in the vicinity of resonances. The most important
corrections are presented in analytical form. The detailed numerical discussion
concentrates on the corrections to the (s-channel) Higgs-boson resonances in
the Standard Model and its minimal supersymmetric extension. The results show
that photonic initial- and QCD final-state corrections are very important in a
precision study of Higgs resonances, but that (photonic) initial-final
interferences are widely suppressed and only modify the non-resonant
background.
|
[
{
"created": "Wed, 13 Mar 2002 16:03:42 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Dittmaier",
"Stefan",
""
],
[
"Kaiser",
"Andreas",
""
]
] |
The photonic and QCD radiative corrections at next-to-leading order are calculated for fermion-pair production at muon colliders, maintaining the full mass dependence and helicity information of the muons and the produced fermions. Higher-order effects of initial-state radiation are included at the leading logarithmic level. In the calculation particular attention is paid to the issue of gauge invariance in the vicinity of resonances. The most important corrections are presented in analytical form. The detailed numerical discussion concentrates on the corrections to the (s-channel) Higgs-boson resonances in the Standard Model and its minimal supersymmetric extension. The results show that photonic initial- and QCD final-state corrections are very important in a precision study of Higgs resonances, but that (photonic) initial-final interferences are widely suppressed and only modify the non-resonant background.
|
1810.07210
|
Joel Jones-Perez
|
P. Hern\'andez and J. Jones-P\'erez and O. Suarez-Navarro
|
Majorana vs Pseudo-Dirac Neutrinos at the ILC
|
16 pages, 5 figures; v2: Minor changes, version accepted for
publication in EPJC
| null |
10.1140/epjc/s10052-019-6728-1
| null |
hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Neutrino masses could originate in seesaw models testable at colliders, with
light mediators and an approximate lepton number symmetry. The minimal model of
this type contains two quasi-degenerate Majorana fermions forming a
pseudo-Dirac pair. An important question is to what extent future colliders
will have sensitivity to the splitting between the Majorana components, since
this quantity signals the breaking of lepton number and is connected to the
light neutrino masses. We consider the production of these neutral heavy
leptons at the ILC, where their displaced decays provide a golden signal: a
forward-backward charge asymmetry, which depends crucially on the mass
splitting between the two Majorana components. We show that this observable can
constrain the mass splitting to values much lower than current bounds from
neutrinoless double beta decay and natural loop corrections.
|
[
{
"created": "Tue, 16 Oct 2018 18:06:45 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Mar 2019 14:37:10 GMT",
"version": "v2"
}
] |
2019-03-27
|
[
[
"Hernández",
"P.",
""
],
[
"Jones-Pérez",
"J.",
""
],
[
"Suarez-Navarro",
"O.",
""
]
] |
Neutrino masses could originate in seesaw models testable at colliders, with light mediators and an approximate lepton number symmetry. The minimal model of this type contains two quasi-degenerate Majorana fermions forming a pseudo-Dirac pair. An important question is to what extent future colliders will have sensitivity to the splitting between the Majorana components, since this quantity signals the breaking of lepton number and is connected to the light neutrino masses. We consider the production of these neutral heavy leptons at the ILC, where their displaced decays provide a golden signal: a forward-backward charge asymmetry, which depends crucially on the mass splitting between the two Majorana components. We show that this observable can constrain the mass splitting to values much lower than current bounds from neutrinoless double beta decay and natural loop corrections.
|
1502.05695
|
David W. Tian
|
David Wenjie Tian, Ivan Booth
|
Lovelock-Brans-Dicke gravity
|
RevTex 13 pages. Minor changes are made to match the version
published in Classical and Quantum Gravity
|
Class. Quantum Grav. 33 (2016), 045001
|
10.1088/0264-9381/33/4/045001
| null |
gr-qc astro-ph.CO hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
According to Lovelock's theorem, the Hilbert-Einstein and the Lovelock
actions are indistinguishable from their field equations. However, they have
different scalar-tensor counterparts, which correspond to the Brans-Dicke and
the \emph{Lovelock-Brans-Dicke} (LBD) gravities, respectively. In this paper
the LBD model of alternative gravity with the Lagrangian density
$\mathscr{L}_{\text{LBD}}=\frac{1}{16\pi}\left[\phi\left( R
+\frac{a}{\sqrt{-g}}{}^*RR +
b\mathcal{G}\right)-\frac{\omega_{\text{L}}}{\phi}\nabla_\alpha \phi
\nabla^\alpha\phi \right]$ is developed, where ${}^*RR$ and $\mathcal{G}$
respectively denote the topological Chern-Pontryagin and Gauss-Bonnet
invariants. The field equation, the kinematical and dynamical wave equations,
and the constraint from energy-momentum conservation are all derived. It is
shown that, the LBD gravity reduces to general relativity in the limit
$\omega_{\text{L}}\to\infty$ unless the "topological balance condition" holds,
and in vacuum it can be conformally transformed into the dynamical Chern-Simons
gravity and the generalized Gauss-Bonnet dark energy with Horndeski-like or
Galileon-like kinetics. Moreover, the LBD gravity allows for the late-time
cosmic acceleration without dark energy. Finally, the LBD gravity is
generalized into the Lovelock-scalar-tensor gravity, and its equivalence to
fourth-order modified gravities is established. It is also emphasized that the
standard expressions for the contributions of generalized Gauss-Bonnet
dependence can be further simplified.
|
[
{
"created": "Thu, 19 Feb 2015 20:42:25 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Mar 2015 19:43:54 GMT",
"version": "v2"
},
{
"created": "Mon, 27 Jul 2015 19:16:55 GMT",
"version": "v3"
},
{
"created": "Thu, 21 Jan 2016 17:55:42 GMT",
"version": "v4"
}
] |
2016-01-25
|
[
[
"Tian",
"David Wenjie",
""
],
[
"Booth",
"Ivan",
""
]
] |
According to Lovelock's theorem, the Hilbert-Einstein and the Lovelock actions are indistinguishable from their field equations. However, they have different scalar-tensor counterparts, which correspond to the Brans-Dicke and the \emph{Lovelock-Brans-Dicke} (LBD) gravities, respectively. In this paper the LBD model of alternative gravity with the Lagrangian density $\mathscr{L}_{\text{LBD}}=\frac{1}{16\pi}\left[\phi\left( R +\frac{a}{\sqrt{-g}}{}^*RR + b\mathcal{G}\right)-\frac{\omega_{\text{L}}}{\phi}\nabla_\alpha \phi \nabla^\alpha\phi \right]$ is developed, where ${}^*RR$ and $\mathcal{G}$ respectively denote the topological Chern-Pontryagin and Gauss-Bonnet invariants. The field equation, the kinematical and dynamical wave equations, and the constraint from energy-momentum conservation are all derived. It is shown that, the LBD gravity reduces to general relativity in the limit $\omega_{\text{L}}\to\infty$ unless the "topological balance condition" holds, and in vacuum it can be conformally transformed into the dynamical Chern-Simons gravity and the generalized Gauss-Bonnet dark energy with Horndeski-like or Galileon-like kinetics. Moreover, the LBD gravity allows for the late-time cosmic acceleration without dark energy. Finally, the LBD gravity is generalized into the Lovelock-scalar-tensor gravity, and its equivalence to fourth-order modified gravities is established. It is also emphasized that the standard expressions for the contributions of generalized Gauss-Bonnet dependence can be further simplified.
|
2407.07978
|
Marc Geiller
|
Marc Geiller, Alok Laddha, C\'eline Zwikel
|
Symmetries of the gravitational scattering in the absence of peeling
|
40 pages
| null | null | null |
gr-qc hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
The symmetries of the gravitational scattering are intimately tied to the
symmetries which preserve asymptotic flatness at null infinity. In Penrose's
definition of asymptotic flatness, a central role is played by the notion of
asymptotic simplicity and the ensuing peeling behavior which dictates the decay
rate of the Weyl tensor. However, there is now accumulating evidence that in a
generic gravitational scattering the peeling property is broken, so that the
spacetime is not asymptotically-flat in the usual sense. These obstructions to
peeling can be traced back to the existence of universal radiative low
frequency observables called ''tails to the displacement memory''. The
universality of these tail modes is the statement of the classical logarithmic
soft graviton theorem of Sahoo, Saha and Sen. Four-dimensional gravitation
scattering therefore exhibits a rich infrared interplay between tail to the
memory, loss of peeling, and universal logarithmic soft theorems. In this paper
we study the solution space and the asymptotic symmetries for
logarithmically-asymptotically-flat spacetimes. These are defined by a
polyhomogeneous expansion of the Bondi metric which gives rise to a loss of
peeling, and represent the classical arena which can accommodate a generic
gravitational scattering containing tails to the memory. We show that while the
codimension-two generalized BMS charges are sensitive to the loss of peeling at
$\mathcal{I}^+$, the flux is insensitive to the fate of peeling. Due to the
tail to the memory, the soft superrotation flux contains a logarithmic
divergence whose coefficient is the quantity which is conserved in the
scattering by virtue of the logarithmic soft theorem. In our analysis we also
exhibit new logarithmic evolution equations and flux-balance laws, whose
presence suggests the existence of an infinite tower of subleading logarithmic
soft graviton theorems.
|
[
{
"created": "Wed, 10 Jul 2024 18:18:42 GMT",
"version": "v1"
}
] |
2024-07-12
|
[
[
"Geiller",
"Marc",
""
],
[
"Laddha",
"Alok",
""
],
[
"Zwikel",
"Céline",
""
]
] |
The symmetries of the gravitational scattering are intimately tied to the symmetries which preserve asymptotic flatness at null infinity. In Penrose's definition of asymptotic flatness, a central role is played by the notion of asymptotic simplicity and the ensuing peeling behavior which dictates the decay rate of the Weyl tensor. However, there is now accumulating evidence that in a generic gravitational scattering the peeling property is broken, so that the spacetime is not asymptotically-flat in the usual sense. These obstructions to peeling can be traced back to the existence of universal radiative low frequency observables called ''tails to the displacement memory''. The universality of these tail modes is the statement of the classical logarithmic soft graviton theorem of Sahoo, Saha and Sen. Four-dimensional gravitation scattering therefore exhibits a rich infrared interplay between tail to the memory, loss of peeling, and universal logarithmic soft theorems. In this paper we study the solution space and the asymptotic symmetries for logarithmically-asymptotically-flat spacetimes. These are defined by a polyhomogeneous expansion of the Bondi metric which gives rise to a loss of peeling, and represent the classical arena which can accommodate a generic gravitational scattering containing tails to the memory. We show that while the codimension-two generalized BMS charges are sensitive to the loss of peeling at $\mathcal{I}^+$, the flux is insensitive to the fate of peeling. Due to the tail to the memory, the soft superrotation flux contains a logarithmic divergence whose coefficient is the quantity which is conserved in the scattering by virtue of the logarithmic soft theorem. In our analysis we also exhibit new logarithmic evolution equations and flux-balance laws, whose presence suggests the existence of an infinite tower of subleading logarithmic soft graviton theorems.
|
2305.08185
|
Orr Sela
|
Matteo Sacchi, Orr Sela, Gabi Zafrir
|
5d to 3d compactifications and discrete anomalies
|
36 pages, 8 figures
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
Much insight into the dynamics of quantum field theories can be gained by
studying the relationship between field theories in different dimensions. An
interesting observation is that when two theories are related by dimensional
reduction on a compact surface, their 't Hooft anomalies corresponding to
continuous symmetries are also related: the anomaly polynomial of the
lower-dimensional theory can be obtained by integrating that of the
higher-dimensional one on the compact surface. Naturally, this relation only
holds if both theories are even dimensional. This raises the question of
whether similar relations can also hold for the case of anomalies in discrete
symmetries, which might be true even in odd dimensions. The natural
generalization to discrete symmetries is that the anomaly theories, associated
with the lower and higher dimensional theories, would be related by reduction
on the compact surface. We explore this idea for compactifications of 5d
superconformal field theories (SCFTs) to 3d on Riemann surfaces with
global-symmetry fluxes. In this context, it can be used both as a check for
these compactification constructions and for discovering new anomalies in the
5d SCFTs. This opens the way to applying the same idea of dimensional reduction
of the anomaly theory to more general types of compactifications.
|
[
{
"created": "Sun, 14 May 2023 15:25:53 GMT",
"version": "v1"
}
] |
2023-05-16
|
[
[
"Sacchi",
"Matteo",
""
],
[
"Sela",
"Orr",
""
],
[
"Zafrir",
"Gabi",
""
]
] |
Much insight into the dynamics of quantum field theories can be gained by studying the relationship between field theories in different dimensions. An interesting observation is that when two theories are related by dimensional reduction on a compact surface, their 't Hooft anomalies corresponding to continuous symmetries are also related: the anomaly polynomial of the lower-dimensional theory can be obtained by integrating that of the higher-dimensional one on the compact surface. Naturally, this relation only holds if both theories are even dimensional. This raises the question of whether similar relations can also hold for the case of anomalies in discrete symmetries, which might be true even in odd dimensions. The natural generalization to discrete symmetries is that the anomaly theories, associated with the lower and higher dimensional theories, would be related by reduction on the compact surface. We explore this idea for compactifications of 5d superconformal field theories (SCFTs) to 3d on Riemann surfaces with global-symmetry fluxes. In this context, it can be used both as a check for these compactification constructions and for discovering new anomalies in the 5d SCFTs. This opens the way to applying the same idea of dimensional reduction of the anomaly theory to more general types of compactifications.
|
1904.12392
|
Ali Chamseddine
|
Ali H. Chamseddine and Walter D. van Suijlekom
|
A survey of spectral models of gravity coupled to matter
|
An appendix is added to include scalar potential analysis for a
Pati-Salam model. 58 Pages
| null |
10.1007/978-3-030-29597-4_1
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This is a survey of the historical development of the Spectral Standard Model
and beyond, starting with the ground breaking paper of Alain Connes in 1988
where he observed that there is a link between Higgs fields and finite
noncommutative spaces. We present the important contributions that helped in
the search and identification of the noncommutative space that characterizes
the fine structure of space-time. The nature and properties of the
noncommutative space are arrived at by independent routes and show the
uniqueness of the Spectral Standard Model at low energies and the Pati-Salam
unification model at high energies.
|
[
{
"created": "Sun, 28 Apr 2019 22:25:36 GMT",
"version": "v1"
},
{
"created": "Sun, 23 Jun 2019 16:40:11 GMT",
"version": "v2"
}
] |
2020-08-05
|
[
[
"Chamseddine",
"Ali H.",
""
],
[
"van Suijlekom",
"Walter D.",
""
]
] |
This is a survey of the historical development of the Spectral Standard Model and beyond, starting with the ground breaking paper of Alain Connes in 1988 where he observed that there is a link between Higgs fields and finite noncommutative spaces. We present the important contributions that helped in the search and identification of the noncommutative space that characterizes the fine structure of space-time. The nature and properties of the noncommutative space are arrived at by independent routes and show the uniqueness of the Spectral Standard Model at low energies and the Pati-Salam unification model at high energies.
|
1002.3836
|
Mercedes Velazquez
|
Merced Montesinos, Mercedes Velazquez
|
BF gravity with Immirzi parameter and cosmological constant
|
4 pages, no figures, LaTeX file
|
Phys.Rev.D81:044033,2010
|
10.1103/PhysRevD.81.044033
| null |
gr-qc hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The action principle of the BF type introduced by Capovilla, Montesinos,
Prieto, and Rojas (CMPR) which describes general relativity with Immirzi
parameter is modified in order to allow the inclusion of the cosmological
constant. The resulting action principle is on the same footing as the original
Plebanski action in the sense that the equations of motion coming from the new
action principle are equivalent to the Holst action principle plus a
cosmological constant without the need of imposing additional restrictions on
the fields. We consider this result a relevant step towards the coupling of
matter fields to gravity in the framework of the CMPR action principle.
|
[
{
"created": "Fri, 19 Feb 2010 22:47:24 GMT",
"version": "v1"
}
] |
2010-04-21
|
[
[
"Montesinos",
"Merced",
""
],
[
"Velazquez",
"Mercedes",
""
]
] |
The action principle of the BF type introduced by Capovilla, Montesinos, Prieto, and Rojas (CMPR) which describes general relativity with Immirzi parameter is modified in order to allow the inclusion of the cosmological constant. The resulting action principle is on the same footing as the original Plebanski action in the sense that the equations of motion coming from the new action principle are equivalent to the Holst action principle plus a cosmological constant without the need of imposing additional restrictions on the fields. We consider this result a relevant step towards the coupling of matter fields to gravity in the framework of the CMPR action principle.
|
1102.4150
|
Kei-Ichi Kondo
|
K.-I. Kondo, A. Shibata, T. Shinohara and S. Kato
|
Non-Abelian magnetic monopoles responsible for quark confinement
|
10 pages, 3 figures, A contribution to the proceedings of "The many
faces of QCD", Ghent (Belgium), November 1-5, 2010
|
PoS FacesQCD:003,2010
| null |
CHIBA-EP-187
|
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the non-Abelian magnetic monopole defined in a gauge-invariant
way in SU(3) Yang-Mills theory gives a dominant contribution to confinement of
the fundamental quark, in sharp contrast to the SU(2) case.
|
[
{
"created": "Mon, 21 Feb 2011 07:18:19 GMT",
"version": "v1"
}
] |
2015-03-19
|
[
[
"Kondo",
"K. -I.",
""
],
[
"Shibata",
"A.",
""
],
[
"Shinohara",
"T.",
""
],
[
"Kato",
"S.",
""
]
] |
We show that the non-Abelian magnetic monopole defined in a gauge-invariant way in SU(3) Yang-Mills theory gives a dominant contribution to confinement of the fundamental quark, in sharp contrast to the SU(2) case.
|
hep-th/0005048
|
Shiraz Minwalla
|
Rajesh Gopakumar, Juan Maldacena, Shiraz Minwalla and Andrew
Strominger
|
S-Duality and Noncommutative Gauge Theory
|
18 pages, harvmac, 1 figure; v2 20 pages, some discussion added,
minor typos corrected, references added
|
JHEP 0006:036,2000
|
10.1088/1126-6708/2000/06/036
| null |
hep-th
| null |
It is conjectured that strongly coupled, spatially noncommutative
$\mathcal{N}=4$ Yang-Mills theory has a dual description as a weakly coupled
open string theory in a near critical electric field, and that this dual theory
is fully decoupled from closed strings. Evidence for this conjecture is given
by the absence of physical closed string poles in the non-planar one-loop open
string diagram. The open string theory can be viewed as living in a geometry in
which space and time coordinates do not commute.
|
[
{
"created": "Thu, 4 May 2000 22:17:36 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Jun 2000 18:22:30 GMT",
"version": "v2"
}
] |
2017-09-07
|
[
[
"Gopakumar",
"Rajesh",
""
],
[
"Maldacena",
"Juan",
""
],
[
"Minwalla",
"Shiraz",
""
],
[
"Strominger",
"Andrew",
""
]
] |
It is conjectured that strongly coupled, spatially noncommutative $\mathcal{N}=4$ Yang-Mills theory has a dual description as a weakly coupled open string theory in a near critical electric field, and that this dual theory is fully decoupled from closed strings. Evidence for this conjecture is given by the absence of physical closed string poles in the non-planar one-loop open string diagram. The open string theory can be viewed as living in a geometry in which space and time coordinates do not commute.
|
2202.10373
|
Stuart Dowker
|
J.S. Dowker
|
$C_T$ for monodromy defects of fields on odd dimensional spheres for
higher derivative propagation
|
13 pages, 2 figures Minor corrections and additions. Discussion of
the validity of the Perlmutter factor and references added. (This is the
intended version 2)
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
The central charge $C_T$ is computed for scalar and Dirac fields propagating
according to GJMS-type kinetic operators acting on odd $d$-dimensional spheres
in the presence of a spherical monodromy. The relation of $C_T$ to the
derivatives of the free energy on the conically deformed sphere via the
Perlmutter factor leads to a numerical quadrature. The variation of $C_T$ with
the monodromy flux, $\delta$, displays sign changes, exactly as in even
dimensions. Closed forms for $C_T$ are derived when $\delta$ equals 0 or 1/2
with the derivative order either even or odd and shown to agree with existing,
even $d$ expressions. The infinite $d$ limits are also derived in these special
cases.
|
[
{
"created": "Mon, 21 Feb 2022 17:07:42 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Feb 2022 16:56:42 GMT",
"version": "v2"
},
{
"created": "Tue, 1 Mar 2022 16:03:49 GMT",
"version": "v3"
}
] |
2022-03-02
|
[
[
"Dowker",
"J. S.",
""
]
] |
The central charge $C_T$ is computed for scalar and Dirac fields propagating according to GJMS-type kinetic operators acting on odd $d$-dimensional spheres in the presence of a spherical monodromy. The relation of $C_T$ to the derivatives of the free energy on the conically deformed sphere via the Perlmutter factor leads to a numerical quadrature. The variation of $C_T$ with the monodromy flux, $\delta$, displays sign changes, exactly as in even dimensions. Closed forms for $C_T$ are derived when $\delta$ equals 0 or 1/2 with the derivative order either even or odd and shown to agree with existing, even $d$ expressions. The infinite $d$ limits are also derived in these special cases.
|
1502.02919
|
Maria Vittoria Gargiulo
|
Maria Vittoria Gargiulo, Mairi Sakellariadou and Giuseppe Vitiello
|
Noncommutative spectral geometry, Bogoliubov transformations and
neutrino oscillations
|
9 pages, DICE 14 proceeding
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this report we show that neutrino mixing is intrinsically contained in
Connes' noncommutative spectral geometry construction, thanks to the
introduction of the doubling of algebra, which is connected to the Bogoliubov
transformation. It is known indeed that these transformations are responsible
for the mixing, turning the mass vacuum state into the flavor vacuum state, in
such a way that mass and flavor vacuum states are not unitary equivalent. There
is thus a red thread that binds the doubling of algebra of Connes' model to the
neutrino mixing.
|
[
{
"created": "Tue, 10 Feb 2015 14:31:36 GMT",
"version": "v1"
}
] |
2015-02-11
|
[
[
"Gargiulo",
"Maria Vittoria",
""
],
[
"Sakellariadou",
"Mairi",
""
],
[
"Vitiello",
"Giuseppe",
""
]
] |
In this report we show that neutrino mixing is intrinsically contained in Connes' noncommutative spectral geometry construction, thanks to the introduction of the doubling of algebra, which is connected to the Bogoliubov transformation. It is known indeed that these transformations are responsible for the mixing, turning the mass vacuum state into the flavor vacuum state, in such a way that mass and flavor vacuum states are not unitary equivalent. There is thus a red thread that binds the doubling of algebra of Connes' model to the neutrino mixing.
|
hep-th/9306023
|
Inagaki
|
T.Inagaki, T.Muta, S.D.Odinstov
|
Nambu-Jona-Lasinio Model in Curved Space-Time
|
8 pages, 3 figures not included, uses LaTeX, HUPD-9314
|
Mod.Phys.Lett.A8:2117-2124,1993
|
10.1142/S0217732393001835
| null |
hep-th
| null |
The phase structure of Nambu-Jona-Lasinio model with N-component fermions in
curved space-time is studied in the leading order of the 1/N expansion.
The effective potential for composite operator $\bar{\psi}\psi$ is calculated
by using the normal coordinate expansion in the Schwinger proper-time method.
The existence of the first-order phase transition caused by the change of the
space-time curvature is confirmed and the dynamical mass of the fermion is
calculated as a simultaneous function of the curvature and the four-fermion
coupling constant.
The phase diagram in the curvature and the coupling constant is obtained.
|
[
{
"created": "Fri, 4 Jun 1993 12:04:52 GMT",
"version": "v1"
}
] |
2009-09-17
|
[
[
"Inagaki",
"T.",
""
],
[
"Muta",
"T.",
""
],
[
"Odinstov",
"S. D.",
""
]
] |
The phase structure of Nambu-Jona-Lasinio model with N-component fermions in curved space-time is studied in the leading order of the 1/N expansion. The effective potential for composite operator $\bar{\psi}\psi$ is calculated by using the normal coordinate expansion in the Schwinger proper-time method. The existence of the first-order phase transition caused by the change of the space-time curvature is confirmed and the dynamical mass of the fermion is calculated as a simultaneous function of the curvature and the four-fermion coupling constant. The phase diagram in the curvature and the coupling constant is obtained.
|
1212.6852
|
Gabriele Tartaglino-Mazzucchelli
|
Sergei M. Kuzenko and Gabriele Tartaglino-Mazzucchelli
|
Conformal supergravities as Chern-Simons theories revisited
|
26 pages; V3: typos in eqs. (3.8) and (3.10b) corrected
|
JHEP 1303 (2013) 113
|
10.1007/JHEP03(2013)113
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a superfield method to construct off-shell actions for N-extended
conformal supergravity theories in three space-time dimensions. It makes use of
the superform technique to engineer supersymmetric invariants. The method is
specifically applied to the case of N=1 conformal supergravity and provides a
new realization for the actions of conformal and topologically massive
supergravities.
|
[
{
"created": "Mon, 31 Dec 2012 10:31:02 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Mar 2013 08:50:24 GMT",
"version": "v2"
},
{
"created": "Tue, 12 Dec 2017 13:04:56 GMT",
"version": "v3"
}
] |
2017-12-13
|
[
[
"Kuzenko",
"Sergei M.",
""
],
[
"Tartaglino-Mazzucchelli",
"Gabriele",
""
]
] |
We propose a superfield method to construct off-shell actions for N-extended conformal supergravity theories in three space-time dimensions. It makes use of the superform technique to engineer supersymmetric invariants. The method is specifically applied to the case of N=1 conformal supergravity and provides a new realization for the actions of conformal and topologically massive supergravities.
|
2304.06557
|
Meijian Li
|
Meijian Li, Wenyang Qian, Bin Wu, Hong Zhang
|
Anisotropic flow and the valence quark skeleton of hadrons
| null | null | null | null |
hep-ph nucl-th
|
http://creativecommons.org/licenses/by-nc-nd/4.0/
|
We study transverse momentum anisotropies, in particular, the elliptic flow
$v_2$ due to the interference effect sourced by valence quarks in high-energy
hadron-hadron collisions. Our main formula is derived as the high-energy
(eikonal) limit of the impact-parameter dependent cross section in quantum
field theory, which agrees with that in terms of the impact parameter in the
classical picture. As a quantitative assessment of the interference effect, we
calculate $v_2$ in the azimuthal distribution of gluons at a comprehensive
coverage of the impact parameter and the transverse momentum in high-energy
pion-pion collisions. In a broad range of the impact parameter, a sizable
amount of $v_2$, comparable with that produced due to saturated dense gluons or
final-state interactions, is found to develop. In our calculations, the valence
sector of the pion wave function is obtained numerically from the Basis
Light-Front Quantization, a non-perturbative light-front Hamiltonian approach.
And our formalism is generic and can be applied to other small collision
systems like proton-proton collisions.
|
[
{
"created": "Thu, 13 Apr 2023 14:07:06 GMT",
"version": "v1"
},
{
"created": "Tue, 2 May 2023 13:35:36 GMT",
"version": "v2"
}
] |
2023-05-03
|
[
[
"Li",
"Meijian",
""
],
[
"Qian",
"Wenyang",
""
],
[
"Wu",
"Bin",
""
],
[
"Zhang",
"Hong",
""
]
] |
We study transverse momentum anisotropies, in particular, the elliptic flow $v_2$ due to the interference effect sourced by valence quarks in high-energy hadron-hadron collisions. Our main formula is derived as the high-energy (eikonal) limit of the impact-parameter dependent cross section in quantum field theory, which agrees with that in terms of the impact parameter in the classical picture. As a quantitative assessment of the interference effect, we calculate $v_2$ in the azimuthal distribution of gluons at a comprehensive coverage of the impact parameter and the transverse momentum in high-energy pion-pion collisions. In a broad range of the impact parameter, a sizable amount of $v_2$, comparable with that produced due to saturated dense gluons or final-state interactions, is found to develop. In our calculations, the valence sector of the pion wave function is obtained numerically from the Basis Light-Front Quantization, a non-perturbative light-front Hamiltonian approach. And our formalism is generic and can be applied to other small collision systems like proton-proton collisions.
|
0710.4311
|
Rouven Essig
|
Rouven Essig, Kuver Sinha, Gonzalo Torroba
|
Enhanced symmetry points and metastable supersymmetry breaking along
pseudo-runaway directions
|
Submitted for the SUSY07 proceedings, 4 pages, LaTeX, 2 figures
| null | null | null |
hep-th
| null |
We construct a model with long-lived metastable vacua in which all the
relevant parameters, including the supersymmetry breaking scale, are generated
dynamically by dimensional transmutation. The metastable vacua appear along a
pseudo-runaway direction near a point of enhanced symmetry as a result of a
balance between non-perturbative and perturbative quantum effects. We show that
metastable supersymmetry breaking is a rather generic feature near certain
enhanced symmetry points of gauge theory moduli spaces.
|
[
{
"created": "Tue, 23 Oct 2007 18:47:51 GMT",
"version": "v1"
}
] |
2007-10-24
|
[
[
"Essig",
"Rouven",
""
],
[
"Sinha",
"Kuver",
""
],
[
"Torroba",
"Gonzalo",
""
]
] |
We construct a model with long-lived metastable vacua in which all the relevant parameters, including the supersymmetry breaking scale, are generated dynamically by dimensional transmutation. The metastable vacua appear along a pseudo-runaway direction near a point of enhanced symmetry as a result of a balance between non-perturbative and perturbative quantum effects. We show that metastable supersymmetry breaking is a rather generic feature near certain enhanced symmetry points of gauge theory moduli spaces.
|
hep-th/9603122
|
Pijush Kanti Ghosh
|
Pijush K. Ghosh
|
Self-dual Gauged $CP^N$ Models
|
12 Pages, RevTex, few minor changes have been made, to appear in
Physics Letters B
|
Phys.Lett. B384 (1996) 185-189
|
10.1016/0370-2693(96)00820-9
|
MRI-PHY/96-09
|
hep-th
| null |
We consider a $CP^N$ model with the subgroup $SU(r)$ completely gauged, where
$1 < r < N+1$. The gauge field dynamics is solely governed by a nonabelian
Chern-Simons term and the global $SU(N+1)$ symmetry is broken explicitly by
introducing a $SU(r)$ invariant scalar potential. We obtain self-dual equations
of this gauged $CP^N$ model and find that the energy is bounded from below by a
linear combination of the topological charge and a global $U(1)$ charge present
in the theory. We also discuss on the self-dual soliton solutions of this
model.
|
[
{
"created": "Mon, 18 Mar 1996 20:51:51 GMT",
"version": "v1"
},
{
"created": "Mon, 27 May 1996 23:11:51 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Ghosh",
"Pijush K.",
""
]
] |
We consider a $CP^N$ model with the subgroup $SU(r)$ completely gauged, where $1 < r < N+1$. The gauge field dynamics is solely governed by a nonabelian Chern-Simons term and the global $SU(N+1)$ symmetry is broken explicitly by introducing a $SU(r)$ invariant scalar potential. We obtain self-dual equations of this gauged $CP^N$ model and find that the energy is bounded from below by a linear combination of the topological charge and a global $U(1)$ charge present in the theory. We also discuss on the self-dual soliton solutions of this model.
|
2111.12446
|
Dimitrios Katsinis
|
Dimitrios Katsinis, Pantelis Panopoulos
|
Classical solutions of $\lambda$-deformed coset models
|
36+9 pages, 8 figures
| null |
10.1140/epjc/s10052-022-10493-9
| null |
hep-th math-ph math.MP nlin.SI
|
http://creativecommons.org/licenses/by/4.0/
|
We obtain classical solutions of $\l$-deformed $\s$-models based on
$SL(2,\mathbb{R})/U(1)$ and $SU(2)/U(1)$ coset manifolds. Using two different
sets of coordinates, we derive two distinct classes of solutions. The first
class is expressed in terms of hyperbolic and trigonometric functions, whereas
the second one in terms of elliptic functions. We analyze their properties
along with the boundary conditions and discuss string systems that they
describe. It turns out that there is an apparent similarity between the
solutions of the second class and the motion of a pendulum.
|
[
{
"created": "Wed, 24 Nov 2021 11:49:55 GMT",
"version": "v1"
}
] |
2022-07-06
|
[
[
"Katsinis",
"Dimitrios",
""
],
[
"Panopoulos",
"Pantelis",
""
]
] |
We obtain classical solutions of $\l$-deformed $\s$-models based on $SL(2,\mathbb{R})/U(1)$ and $SU(2)/U(1)$ coset manifolds. Using two different sets of coordinates, we derive two distinct classes of solutions. The first class is expressed in terms of hyperbolic and trigonometric functions, whereas the second one in terms of elliptic functions. We analyze their properties along with the boundary conditions and discuss string systems that they describe. It turns out that there is an apparent similarity between the solutions of the second class and the motion of a pendulum.
|
1504.07910
|
Hong Zhang
|
Chaiho Rim and Hong Zhang
|
Classical Virasoro irregular conformal block
|
18 pages; v2: comments and references added, version to appear in
JHEP
| null |
10.1007/JHEP07(2015)163
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Virasoro irregular conformal block with arbitrary rank is obtained for the
classical limit or equivalently Nekrasov-Shatashvili limit using the
beta-deformed irregular matrix model (Penner-type matrix model for the
irregular conformal block). The same result is derived using the generalized
Mathieu equation which is equivalent to the loop equation of the irregular
matrix model.
|
[
{
"created": "Wed, 29 Apr 2015 16:06:16 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Jun 2015 07:47:55 GMT",
"version": "v2"
}
] |
2015-08-04
|
[
[
"Rim",
"Chaiho",
""
],
[
"Zhang",
"Hong",
""
]
] |
Virasoro irregular conformal block with arbitrary rank is obtained for the classical limit or equivalently Nekrasov-Shatashvili limit using the beta-deformed irregular matrix model (Penner-type matrix model for the irregular conformal block). The same result is derived using the generalized Mathieu equation which is equivalent to the loop equation of the irregular matrix model.
|
hep-th/9205025
|
Marco Fabbrichesi
|
M. Fabbrichesi, R. Iengo, K. Roland
|
The Gravitational Field of String Matter
|
40 PAGES
|
Nucl.Phys. B402 (1993) 360-398
|
10.1016/0550-3213(93)90647-8
|
REPORT SISSA/ISAS 52-92-EP
|
hep-th
| null |
We study the scattering of a massless and neutral test particle in the
gravitational field of a body (the string star) made of a large number of
scalar states of the superstring. We consider two cases, the one in which these
states are neutral string excitations massive already in ten dimensions and the
one in which their masses (and charges) originate in the process of
compactification on tori. A perturbative calculation based on superstring
amplitudes gives us the deflection angle up to the second order in Newton's
constant. A comparison with field theory explicitly shows which among the
various massless fields of the superstring give a contribution to the
scattering process. In both cases, the deflection angle is smaller than the one
computed in general relativity. The perturbative series can be resummed by
finding the exact solution to the classical equations of motion of the
corresponding low-energy action. The space-time metric of our two examples of
string stars has no horizon.
|
[
{
"created": "Tue, 12 May 1992 14:04:03 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Fabbrichesi",
"M.",
""
],
[
"Iengo",
"R.",
""
],
[
"Roland",
"K.",
""
]
] |
We study the scattering of a massless and neutral test particle in the gravitational field of a body (the string star) made of a large number of scalar states of the superstring. We consider two cases, the one in which these states are neutral string excitations massive already in ten dimensions and the one in which their masses (and charges) originate in the process of compactification on tori. A perturbative calculation based on superstring amplitudes gives us the deflection angle up to the second order in Newton's constant. A comparison with field theory explicitly shows which among the various massless fields of the superstring give a contribution to the scattering process. In both cases, the deflection angle is smaller than the one computed in general relativity. The perturbative series can be resummed by finding the exact solution to the classical equations of motion of the corresponding low-energy action. The space-time metric of our two examples of string stars has no horizon.
|
0803.3385
|
M. P. Garcia del Moral
|
M.P. Garcia del Moral, J.M. Pena, A. Restuccia
|
The Minimally Immersed 4D Supermembrane
|
6pg.latex, w-art.class. To appear in the proceedings "RTN
ForcesUniverse" Valencia, 1-5 October, Spain, 2007
|
Fortschr.Phys.56:915-921,2008
|
10.1002/prop.200810548
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note we summarize some of the properties found in [1], and its
relation with [2]. We comment on the construction of the action of the 11D
supermembrane with nontrivial central charges minimally immersed on a 7D
toroidal manifold is obtained (MIM2).The transverse coordinates to the
supermembrane are maps to a 4D Minkowski space-time. The action is invariant
under additional symmetries in comparison to the supermembrane on a 11D
Minkowski target space. The hamiltonian in the LCG is invariant under conformal
transformations on the Riemann surface base manifold. The spectrum of the
regularized hamiltonian is discrete with finite multiplicity. Its resolvent is
compact. Susy is spontaneously broken, due to the topological central charge
condition, to four supersymmetries in 4D, the vacuum belongs to an N=1
supermultiplet. When assuming the target-space to be an isotropic 7-tori, the
potential does not contain any flat direction, it is stable on the moduli space
of parameters. Moreover due to the discrete symmetries of the hamiltonian,
there are only 7 possible minimal holomorphic immersions of the MIM2 on the
7-torus. When these symmetries are identified on the target space, it
corresponds to compactify the MIM2 on a orbifold with G2 structure. Once the
singularities are resolved it leads to the compactification of the MIM2 on a G2
manifold as shown in [2].
|
[
{
"created": "Mon, 24 Mar 2008 10:11:52 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"del Moral",
"M. P. Garcia",
""
],
[
"Pena",
"J. M.",
""
],
[
"Restuccia",
"A.",
""
]
] |
In this note we summarize some of the properties found in [1], and its relation with [2]. We comment on the construction of the action of the 11D supermembrane with nontrivial central charges minimally immersed on a 7D toroidal manifold is obtained (MIM2).The transverse coordinates to the supermembrane are maps to a 4D Minkowski space-time. The action is invariant under additional symmetries in comparison to the supermembrane on a 11D Minkowski target space. The hamiltonian in the LCG is invariant under conformal transformations on the Riemann surface base manifold. The spectrum of the regularized hamiltonian is discrete with finite multiplicity. Its resolvent is compact. Susy is spontaneously broken, due to the topological central charge condition, to four supersymmetries in 4D, the vacuum belongs to an N=1 supermultiplet. When assuming the target-space to be an isotropic 7-tori, the potential does not contain any flat direction, it is stable on the moduli space of parameters. Moreover due to the discrete symmetries of the hamiltonian, there are only 7 possible minimal holomorphic immersions of the MIM2 on the 7-torus. When these symmetries are identified on the target space, it corresponds to compactify the MIM2 on a orbifold with G2 structure. Once the singularities are resolved it leads to the compactification of the MIM2 on a G2 manifold as shown in [2].
|
2301.00698
|
Soumitra SenGupta
|
Arko Bhaumik and Soumitra SenGupta
|
Nested warped geometry in a non-flat braneworld scenario
|
28 Pages, 4 figures
| null | null | null |
gr-qc hep-ph hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We generalize nested multiply warped braneworld models by incorporating
non-zero brane curvature caused by an effective cosmological constant {\Omega}
induced on the 3-branes. Starting with the doubly warped model, we first
analyze the case where the maximally warped brane is identified as the visible
brane. For {\Omega} < 0, resolution of the gauge hierarchy problem imposes a
small upper bound on |{\Omega}|, and can possibly lead to positivity of all the
3-brane tensions. For {\Omega} > 0, the latter is not possible but the tuning
of the cosmological constant to its tiny observed value is linked to the tuning
of the extra dimensional moduli close to the inverse Planck length, justifying
the original flat brane approximation. In both regimes, we study the dependence
of the scale-clustering of the pair of TeV-branes on the brane cosmological
constant and hence its potential role in generating a fermion mass hierarchy
between these branes. Identifying the near-maximally warped brane as the
visible brane instead opens up regions in the parameter space that allow
positive 3-brane tensions for both anti de Sitter and de Sitter branes, subject
to non-trivial constraints on the warping parameters. We conclude by
generalizing the key results to arbitrary n-fold nested warped braneworlds.
|
[
{
"created": "Mon, 2 Jan 2023 14:24:21 GMT",
"version": "v1"
}
] |
2023-01-03
|
[
[
"Bhaumik",
"Arko",
""
],
[
"SenGupta",
"Soumitra",
""
]
] |
We generalize nested multiply warped braneworld models by incorporating non-zero brane curvature caused by an effective cosmological constant {\Omega} induced on the 3-branes. Starting with the doubly warped model, we first analyze the case where the maximally warped brane is identified as the visible brane. For {\Omega} < 0, resolution of the gauge hierarchy problem imposes a small upper bound on |{\Omega}|, and can possibly lead to positivity of all the 3-brane tensions. For {\Omega} > 0, the latter is not possible but the tuning of the cosmological constant to its tiny observed value is linked to the tuning of the extra dimensional moduli close to the inverse Planck length, justifying the original flat brane approximation. In both regimes, we study the dependence of the scale-clustering of the pair of TeV-branes on the brane cosmological constant and hence its potential role in generating a fermion mass hierarchy between these branes. Identifying the near-maximally warped brane as the visible brane instead opens up regions in the parameter space that allow positive 3-brane tensions for both anti de Sitter and de Sitter branes, subject to non-trivial constraints on the warping parameters. We conclude by generalizing the key results to arbitrary n-fold nested warped braneworlds.
|
0811.0715
|
Luca Lusanna
|
David Alba, Horace W. Crater and Luca Lusanna
|
Towards Relativistic Atomic Physics. II. Collective and Relative
Relativistic Variables for a System of Charged Particles plus the
Electro-Magnetic Field
|
71 pages
| null |
10.1139/P09-038
| null |
hep-th astro-ph gr-qc physics.atm-clus
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this second paper we complete the classical description of an isolated
system of "charged positive-energy particles, with Grassmann-valued electric
charges and mutual Coulomb interaction, plus a transverse electro-magnetic
field" in the rest-frame instant form of dynamics.
In particular we show how to determine a collective variable associated with
the internal 3-center of mass on the instantaneous 3-spaces, to be eliminated
with the constraints ${\vec {\cal K}}_{(int)} \approx 0$. Here ${\vec {\cal
K}}_{(int)}$ is the Lorentz boost generator in the unfaithful internal
realization of the Poincare' group and its vanishing is the gauge fixing to the
rest-frame conditions ${\vec {\cal P}}_{(int)} \approx 0$. We show how to find
this collective variable for the following isolated systems: a) charged
particles with a Coulomb plus Darwin mutual interaction; b) transverse
radiation field; c) charged particles with a mutual Coulomb interaction plus a
transverse electro-magnetic field.
Then we define the Dixon multipolar expansion for the open particle
subsystem. We also define the relativistic electric dipole approximation of
atomic physics in the rest-frame instant form and we find the a possible
relativistic generalization of the electric dipole representation.
|
[
{
"created": "Wed, 5 Nov 2008 12:42:35 GMT",
"version": "v1"
}
] |
2015-05-13
|
[
[
"Alba",
"David",
""
],
[
"Crater",
"Horace W.",
""
],
[
"Lusanna",
"Luca",
""
]
] |
In this second paper we complete the classical description of an isolated system of "charged positive-energy particles, with Grassmann-valued electric charges and mutual Coulomb interaction, plus a transverse electro-magnetic field" in the rest-frame instant form of dynamics. In particular we show how to determine a collective variable associated with the internal 3-center of mass on the instantaneous 3-spaces, to be eliminated with the constraints ${\vec {\cal K}}_{(int)} \approx 0$. Here ${\vec {\cal K}}_{(int)}$ is the Lorentz boost generator in the unfaithful internal realization of the Poincare' group and its vanishing is the gauge fixing to the rest-frame conditions ${\vec {\cal P}}_{(int)} \approx 0$. We show how to find this collective variable for the following isolated systems: a) charged particles with a Coulomb plus Darwin mutual interaction; b) transverse radiation field; c) charged particles with a mutual Coulomb interaction plus a transverse electro-magnetic field. Then we define the Dixon multipolar expansion for the open particle subsystem. We also define the relativistic electric dipole approximation of atomic physics in the rest-frame instant form and we find the a possible relativistic generalization of the electric dipole representation.
|
hep-th/9705157
|
Joao Barcelos Neto
|
J. Barcelos-Neto and W. Oliveira
|
Gauging the nonlinear sigma-model through a non-Abelian algebra
|
18 pages, Latex, to appear in Phys. Rev. D
|
Phys.Rev. D56 (1997) 2257-2264
|
10.1103/PhysRevD.56.2257
| null |
hep-th
| null |
We use an extension of the method due to Batalin, Fradkin, Fradkina, and
Tyutin (BFFT) for transforming the nonlinear $\sigma$ model in a non-Abelian
gauge theory. We deal with both supersymmetric and nonsupersymmetric cases. The
bosonic case was already considered in literature but just gauged with an
Abelian algebra. We show that the supersymmetric version is only compatible
with a non-Abelian gauge theory. The usual BFFT method for this case leads to a
nonlocal algebra.
|
[
{
"created": "Wed, 21 May 1997 10:36:19 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Barcelos-Neto",
"J.",
""
],
[
"Oliveira",
"W.",
""
]
] |
We use an extension of the method due to Batalin, Fradkin, Fradkina, and Tyutin (BFFT) for transforming the nonlinear $\sigma$ model in a non-Abelian gauge theory. We deal with both supersymmetric and nonsupersymmetric cases. The bosonic case was already considered in literature but just gauged with an Abelian algebra. We show that the supersymmetric version is only compatible with a non-Abelian gauge theory. The usual BFFT method for this case leads to a nonlocal algebra.
|
hep-th/9306141
|
Kresimir Demeterfi
|
Kresimir Demeterfi and Joao P. Rodrigues
|
States and quantum effects in the collective field theory of a deformed
matrix model
|
25 pages, PUPT-1407 and CNLS-93-06, 2 figures included, harvmac +
epsf
|
Nucl.Phys. B415 (1994) 3-28
|
10.1016/0550-3213(94)90065-5
| null |
hep-th
| null |
We derive an equation which gives the tree-level scattering amplitudes for
tachyons in the black hole background using the exact states of the collective
field hamiltonian corresponding to a deformed matrix model recently proposed by
Jevicki and Yoneya. Using directly the symmetry algebra we obtain explicit
expression for a class of amplitudes in the tree approximation. We also study
the quantum effects in the corresponding collective field theory. In
particular, we compute the ground state energy and the free energy at finite
temperature up to two loops, and the first quantum correction to the two-point
function.
|
[
{
"created": "Sun, 27 Jun 1993 01:47:32 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Demeterfi",
"Kresimir",
""
],
[
"Rodrigues",
"Joao P.",
""
]
] |
We derive an equation which gives the tree-level scattering amplitudes for tachyons in the black hole background using the exact states of the collective field hamiltonian corresponding to a deformed matrix model recently proposed by Jevicki and Yoneya. Using directly the symmetry algebra we obtain explicit expression for a class of amplitudes in the tree approximation. We also study the quantum effects in the corresponding collective field theory. In particular, we compute the ground state energy and the free energy at finite temperature up to two loops, and the first quantum correction to the two-point function.
|
2112.01483
|
Mois\'es Bravo-Gaete
|
Moises Bravo-Gaete, Maria Montserrat Juarez-Aubry, Gerardo
Velazquez-Rodriguez
|
Lifshitz black holes in four-dimensional Critical Gravity
|
9 pages, 4 figures. Accepted for publication in Physical Review D
| null |
10.1103/PhysRevD.105.084009
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work, we study the existence of asymptotically Lifshitz black holes
in Critical Gravity in four dimensions with a negative cosmological constant
under two scenarios: First, including dilatonic fields as the matter source,
where we find an asymptotically Lifshitz solution for a fixed value of the
dynamical exponent $z=4$. As a second case, we also added a non-minimally
coupled scalar field $\Phi$ with a potential given by a mass term and a quartic
term. Using this approach, we found a solution for $z$ defined in the interval
$(1,4)$, recovering the Schwarzchild-Anti-de Sitter case with planar base
manifold in the isotropic limit. Moreover, when we analyzed the limiting case
$z=4$, we found that there exists an additional solution that can be
interpreted as a stealth configuration in which the stealth field is overflying
the $z=4$ solution without the non-minimally coupled field $\Phi$. Finally, we
studied the non-trivial thermodynamics of these new anisotropic solutions and
found that they all satisfy the First Law of Thermodynamics as well as the
Smarr relation. We were also able to determine that the non-stealth
configuration is thermodynamically preferred in this case.
|
[
{
"created": "Thu, 2 Dec 2021 18:34:19 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Mar 2022 19:24:54 GMT",
"version": "v2"
}
] |
2022-04-20
|
[
[
"Bravo-Gaete",
"Moises",
""
],
[
"Juarez-Aubry",
"Maria Montserrat",
""
],
[
"Velazquez-Rodriguez",
"Gerardo",
""
]
] |
In this work, we study the existence of asymptotically Lifshitz black holes in Critical Gravity in four dimensions with a negative cosmological constant under two scenarios: First, including dilatonic fields as the matter source, where we find an asymptotically Lifshitz solution for a fixed value of the dynamical exponent $z=4$. As a second case, we also added a non-minimally coupled scalar field $\Phi$ with a potential given by a mass term and a quartic term. Using this approach, we found a solution for $z$ defined in the interval $(1,4)$, recovering the Schwarzchild-Anti-de Sitter case with planar base manifold in the isotropic limit. Moreover, when we analyzed the limiting case $z=4$, we found that there exists an additional solution that can be interpreted as a stealth configuration in which the stealth field is overflying the $z=4$ solution without the non-minimally coupled field $\Phi$. Finally, we studied the non-trivial thermodynamics of these new anisotropic solutions and found that they all satisfy the First Law of Thermodynamics as well as the Smarr relation. We were also able to determine that the non-stealth configuration is thermodynamically preferred in this case.
|
1301.4091
|
Fabio Scardigli
|
Petr Jizba, Fabio Scardigli
|
Special Relativity induced by Granular Space
|
6 pages, RevTeX4. Some revisions in DSR section and in Conclusions.
References added
|
Eur. Phys. J. C (2013) 73:2491
|
10.1140/epjc/s10052-013-2491-x
| null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the special relativistic dynamics when combined with quantum
mechanics and the concept of superstatistics can be interpreted as arising from
two interlocked non-relativistic stochastic processes that operate at different
energy scales. This interpretation leads to Feynman amplitudes that are in the
Euclidean regime identical to transition probability of a Brownian particle
propagating through a granular space. Some kind of spacetime granularity could
be held responsible for the emergence at larger scales of various symmetries.
For illustration we consider also the dynamics and the propagator of a spinless
relativistic particle. Implications for doubly special relativity, quantum
field theory, quantum gravity and cosmology are discussed.
|
[
{
"created": "Thu, 17 Jan 2013 13:27:35 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Mar 2013 02:03:01 GMT",
"version": "v2"
}
] |
2013-07-09
|
[
[
"Jizba",
"Petr",
""
],
[
"Scardigli",
"Fabio",
""
]
] |
We show that the special relativistic dynamics when combined with quantum mechanics and the concept of superstatistics can be interpreted as arising from two interlocked non-relativistic stochastic processes that operate at different energy scales. This interpretation leads to Feynman amplitudes that are in the Euclidean regime identical to transition probability of a Brownian particle propagating through a granular space. Some kind of spacetime granularity could be held responsible for the emergence at larger scales of various symmetries. For illustration we consider also the dynamics and the propagator of a spinless relativistic particle. Implications for doubly special relativity, quantum field theory, quantum gravity and cosmology are discussed.
|
1107.4089
|
Vladimir Ivashchuk
|
V. D. Ivashchuk
|
More M-branes on product of Ricci-flat manifolds
|
28 pages, Latex, typos are eliminated, several examples are omitted
|
International Journal of Geometric Methods in Modern Physics, 9,
No 8, 1250067 (2012)
| null |
IGC-PFUR/07-2011/1
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Partially supersymmetric intersecting (non-marginal) composite M-brane
solutions defined on the product of Ricci-flat manifolds M_0 x M_1 x ... x M_n
in D= 11 supergravity are considered and formulae for fractional numbers of
unbroken supersymmetries are derived for the following configurations of
branes: M2 - M2, M2 - M5, M5 - M5 and M2 - M2 - M2. Certain examples of
partially supersymmetric configurations are presented.
|
[
{
"created": "Wed, 20 Jul 2011 19:57:48 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Oct 2011 08:55:40 GMT",
"version": "v2"
},
{
"created": "Fri, 3 Aug 2012 19:02:55 GMT",
"version": "v3"
}
] |
2015-01-23
|
[
[
"Ivashchuk",
"V. D.",
""
]
] |
Partially supersymmetric intersecting (non-marginal) composite M-brane solutions defined on the product of Ricci-flat manifolds M_0 x M_1 x ... x M_n in D= 11 supergravity are considered and formulae for fractional numbers of unbroken supersymmetries are derived for the following configurations of branes: M2 - M2, M2 - M5, M5 - M5 and M2 - M2 - M2. Certain examples of partially supersymmetric configurations are presented.
|
hep-th/9911190
|
Ralph Blumenhagen
|
Carlo Angelantonj and Ralph Blumenhagen
|
Discrete Deformations in Type I Vacua
|
12 pages, TeX, harvmac, 4 figures, eq.(3.15) changed
|
Phys.Lett. B473 (2000) 86-93
|
10.1016/S0370-2693(99)01480-X
|
HUB-EP-99/60, LPTENS 99/38
|
hep-th
| null |
We study supersymmetric orientifolds where the world-sheet parity
transformation is combined with a conjugation of some compact complex
coordinates. We investigate their T-duality relation to standard orientifolds
and discuss the origin of continuous and discrete moduli. In contrast to
standard orientifolds, the antisymmetric tensor describes a continuous
deformation, while the off-diagonal part of the metric is frozen to quantized
values and is responsible for the rank reduction of the gauge group. We also
give a geometrical interpretation of some recently constructed six-dimensional
permutational orientifolds.
|
[
{
"created": "Wed, 24 Nov 1999 13:58:42 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Dec 1999 16:57:00 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Angelantonj",
"Carlo",
""
],
[
"Blumenhagen",
"Ralph",
""
]
] |
We study supersymmetric orientifolds where the world-sheet parity transformation is combined with a conjugation of some compact complex coordinates. We investigate their T-duality relation to standard orientifolds and discuss the origin of continuous and discrete moduli. In contrast to standard orientifolds, the antisymmetric tensor describes a continuous deformation, while the off-diagonal part of the metric is frozen to quantized values and is responsible for the rank reduction of the gauge group. We also give a geometrical interpretation of some recently constructed six-dimensional permutational orientifolds.
|
hep-ph/9804308
|
Uri Sarid
|
Uri Sarid (University of Notre Dame)
|
Tools for Tunneling
|
RevTeX, 4 pages, including 3 eps figures embedded via epsfig; revised
version (minor typos corrected, reference added, clarifications made) to
appear in Phys. Rev. D
|
Phys.Rev. D58 (1998) 085017
|
10.1103/PhysRevD.58.085017
|
UND-HEP-97-US01
|
hep-ph gr-qc hep-th
| null |
If the universe is trapped and cooled in a metastable false vacuum state,
that state will eventually decay by bubble nucleation and expansion. For
example, many extensions of the standard model incorporate new scalar fields
whose potential has a local minimum at the origin but a global minimum
elsewhere, to which the vacuum will eventually tunnel. I calculate the lifetime
of the false vacuum, and the field profile of the bubble after tunneling, for
any potential that is approximately a polynomial of degree <= 4 near the false
vacuum. Essentially exact results are given for a single field; for multiple
fields the given action is a strict upper bound.
|
[
{
"created": "Thu, 16 Apr 1998 22:11:07 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Jul 1998 19:19:33 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Sarid",
"Uri",
"",
"University of Notre Dame"
]
] |
If the universe is trapped and cooled in a metastable false vacuum state, that state will eventually decay by bubble nucleation and expansion. For example, many extensions of the standard model incorporate new scalar fields whose potential has a local minimum at the origin but a global minimum elsewhere, to which the vacuum will eventually tunnel. I calculate the lifetime of the false vacuum, and the field profile of the bubble after tunneling, for any potential that is approximately a polynomial of degree <= 4 near the false vacuum. Essentially exact results are given for a single field; for multiple fields the given action is a strict upper bound.
|
gr-qc/9911090
|
Norimasa Sugiura
|
Norimasa Sugiura, Ken-ichi Nakao and Tomohiro Harada
|
Distance-redshift relation in an isotropic inhomogeneous universe II:
Spherically symmetric dust-shell universe
|
17 pages, 7 figures
|
Phys.Rev. D60 (1999) 103508
|
10.1103/PhysRevD.60.103508
|
KUNS-1550
|
gr-qc
| null |
The relation between the angular diameter distance and redshift in a
spherically symmetric dust-shell universe is studied. We have discovered that
the relation agrees with that of an appropriate Friedmann-Lemaitre (FL) model
if we set a ``homogeneous'' expansion law and a ``homogeneous'' averaged
density field. This will support the averaging hypothesis that a universe looks
like a FL model in spite of small-scale fluctuations of density field, if its
averaged density field is homogeneous on large scales. We also study the
connection of the proper mass of a shell with the mass of gravitationally bound
objects. Combining this with the results of the distance-redshift relation, we
discuss an impact of the local inhomogeneities on determination of the
cosmological parameters through the observation of the locally inhomogeneous
universe.
|
[
{
"created": "Wed, 24 Nov 1999 06:22:12 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Sugiura",
"Norimasa",
""
],
[
"Nakao",
"Ken-ichi",
""
],
[
"Harada",
"Tomohiro",
""
]
] |
The relation between the angular diameter distance and redshift in a spherically symmetric dust-shell universe is studied. We have discovered that the relation agrees with that of an appropriate Friedmann-Lemaitre (FL) model if we set a ``homogeneous'' expansion law and a ``homogeneous'' averaged density field. This will support the averaging hypothesis that a universe looks like a FL model in spite of small-scale fluctuations of density field, if its averaged density field is homogeneous on large scales. We also study the connection of the proper mass of a shell with the mass of gravitationally bound objects. Combining this with the results of the distance-redshift relation, we discuss an impact of the local inhomogeneities on determination of the cosmological parameters through the observation of the locally inhomogeneous universe.
|
1408.6805
|
Larry Ford
|
C. H. G. Bessa, V. A. De Lorenci, L. H. Ford and N. F. Svaiter
|
Vacuum Lightcone Fluctuations in a Dielectric
|
8 pages, 2 figures
|
Ann. Phys. 361, 293 (2015)
| null | null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A model for observable effects of electromagnetic vacuum fluctuations is
presented. The model involves a probe pulse which traverses a slab of nonlinear
optical material with a nonzero second order polarizability. We argue that the
pulse interacts with the ambient vacuum fluctuations of other modes of the
quantized electric field, and these vacuum fluctuations cause variations in the
flight time of the pulse through the material. The geometry of the slab of
material defines a sampling function for the quantized electric field, which in
turn determines that vacuum modes whose wavelengths are of the order of the
thickness of the slab give the dominant contribution. Some numerical estimates
are made, which indicate that fractional fluctuations in flight time of the
order of $10^{-9}$ are possible in realistic situations. The model presented
here is both an illustration of a physical effect of vacuum fluctuations, and
an analog model for the lightcone fluctuations predicted by quantum gravity.
|
[
{
"created": "Thu, 28 Aug 2014 18:42:48 GMT",
"version": "v1"
}
] |
2016-02-12
|
[
[
"Bessa",
"C. H. G.",
""
],
[
"De Lorenci",
"V. A.",
""
],
[
"Ford",
"L. H.",
""
],
[
"Svaiter",
"N. F.",
""
]
] |
A model for observable effects of electromagnetic vacuum fluctuations is presented. The model involves a probe pulse which traverses a slab of nonlinear optical material with a nonzero second order polarizability. We argue that the pulse interacts with the ambient vacuum fluctuations of other modes of the quantized electric field, and these vacuum fluctuations cause variations in the flight time of the pulse through the material. The geometry of the slab of material defines a sampling function for the quantized electric field, which in turn determines that vacuum modes whose wavelengths are of the order of the thickness of the slab give the dominant contribution. Some numerical estimates are made, which indicate that fractional fluctuations in flight time of the order of $10^{-9}$ are possible in realistic situations. The model presented here is both an illustration of a physical effect of vacuum fluctuations, and an analog model for the lightcone fluctuations predicted by quantum gravity.
|
hep-ph/0305282
|
Laura Reina
|
S. Dawson (BNL), L.H. Orr (Rochester U.), L.Reina (FSU), D.Wackeroth
(SUNY, Buffalo)
|
Associated Higgs boson production with heavy quarks
|
6 pages, 4 figures, Talk given at the XXXVIII Rencontres de Moriond
on Electroweak Interactions and Unified Theories, Les Arcs, France, March
15-22, 2003
| null | null |
BNL-HET-03/10, FSU-HEP-2003-0513, UB-HET-03/04
|
hep-ph
| null |
The production of a Higgs boson in association with a pair of t-tbar quarks
will play a very important role at both hadron and lepton colliders. We review
the status of theoretical predictions and their relevance to Higgs boson
studies, with particular emphasis on the recently calculated NLO QCD
corrections to the inclusive cross section for p-pbar,pp -> t-tbar-h. We
conclude by briefly discussing the case of exclusive b-bbar-h production and
the potential of this process in revealing signals of new physics beyond the
Standard Model.
|
[
{
"created": "Sun, 25 May 2003 01:59:30 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Dawson",
"S.",
"",
"BNL"
],
[
"Orr",
"L. H.",
"",
"Rochester U."
],
[
"Reina",
"L.",
"",
"FSU"
],
[
"Wackeroth",
"D.",
"",
"SUNY, Buffalo"
]
] |
The production of a Higgs boson in association with a pair of t-tbar quarks will play a very important role at both hadron and lepton colliders. We review the status of theoretical predictions and their relevance to Higgs boson studies, with particular emphasis on the recently calculated NLO QCD corrections to the inclusive cross section for p-pbar,pp -> t-tbar-h. We conclude by briefly discussing the case of exclusive b-bbar-h production and the potential of this process in revealing signals of new physics beyond the Standard Model.
|
0807.0960
|
Maja Buric
|
Maja Buric, John Madore
|
Spherically Symmetric Noncommutative Space: d = 4
|
14 pages
|
Eur.Phys.J.C58:347-353,2008
|
10.1140/epjc/s10052-008-0748-6
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In order to find a noncommutative analog of Schwarzschild or
Schhwarzschild-de Sitter blackhole we investigate spherically symmetric spaces
generated by four noncommutative coordinates in the frame formalism. We present
two solutions which however do not posess the prescribed commutative limit. Our
analysis indicates that the appropriate noncommutative space might be found as
a subspace of a higher-dimensional space.
|
[
{
"created": "Mon, 7 Jul 2008 10:24:09 GMT",
"version": "v1"
}
] |
2008-12-18
|
[
[
"Buric",
"Maja",
""
],
[
"Madore",
"John",
""
]
] |
In order to find a noncommutative analog of Schwarzschild or Schhwarzschild-de Sitter blackhole we investigate spherically symmetric spaces generated by four noncommutative coordinates in the frame formalism. We present two solutions which however do not posess the prescribed commutative limit. Our analysis indicates that the appropriate noncommutative space might be found as a subspace of a higher-dimensional space.
|
1201.5012
|
Qingjun Jin
|
Q. Jin, R. Roiban
|
On the non-planar beta-deformed N=4 super-Yang-Mills theory
|
39 pages, 8 figures
| null |
10.1088/1751-8113/45/29/295401
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The beta-deformation is one of the two superconformal deformations of the N=4
super-Yang-Mills theory. At the planar level it shares all of its properties
except for supersymmetry, which is broken to the minimal amount. The tree-level
amplitudes of this theory exhibit new features which depart from the commonly
assumed properties of gauge theories with fields in the adjoint representation.
We analyze in detail complete one-loop amplitudes and a nonplanar two-loop
amplitude of this theory and show that, despite having only N=1 supersymmetry,
two-loop amplitudes have a further-improved ultraviolet behavior. This
phenomenon is a counterpart of a similar improvement previously observed in the
double-trace amplitude of the N=4 super-Yang-Mills theory at three and four
loop order and points to the existence of additional structure in both the
deformed and undeformed theories.
|
[
{
"created": "Tue, 24 Jan 2012 15:26:46 GMT",
"version": "v1"
}
] |
2015-06-03
|
[
[
"Jin",
"Q.",
""
],
[
"Roiban",
"R.",
""
]
] |
The beta-deformation is one of the two superconformal deformations of the N=4 super-Yang-Mills theory. At the planar level it shares all of its properties except for supersymmetry, which is broken to the minimal amount. The tree-level amplitudes of this theory exhibit new features which depart from the commonly assumed properties of gauge theories with fields in the adjoint representation. We analyze in detail complete one-loop amplitudes and a nonplanar two-loop amplitude of this theory and show that, despite having only N=1 supersymmetry, two-loop amplitudes have a further-improved ultraviolet behavior. This phenomenon is a counterpart of a similar improvement previously observed in the double-trace amplitude of the N=4 super-Yang-Mills theory at three and four loop order and points to the existence of additional structure in both the deformed and undeformed theories.
|
hep-th/9807205
|
Ofer Aharony
|
Ofer Aharony and Edward Witten
|
Anti-de Sitter Space and the Center of the Gauge Group
|
14 pages, harvmac
|
JHEP 9811:018,1998
|
10.1088/1126-6708/1998/11/018
|
IASSNS-HEP-98/66, RU-98-34
|
hep-th
| null |
Upon compactification on a circle, SU(N) gauge theory with all fields in the
adjoint representation acquires a $Z_N$ global symmetry because the center of
the gauge group is $Z_N$. For N=4 super Yang-Mills theory, we show how this
$Z_N$ "topological symmetry" arises in the context of the AdS/CFT
correspondence, and why the symmetry group is $Z_N$ rather than U(1). This
provides a test of the AdS/CFT correspondence for finite N. If the theory is
formulated on $R^3 \times S^1$ with anti-periodic boundary conditions for
fermions around the $S^1$, the topological symmetry is spontaneously broken; we
show that the domain walls are D-strings, and hence that flux tubes associated
with magnetic confinement can end on the domain walls associated with the
topological symmetry. For the (0,2) $A_{N-1}$ superconformal field theory in
six dimensions, we demonstrate an analogous phenomenon: a $Z_N$ global symmetry
group arises if this theory is compactified on a Riemann surface. In this case,
the domain walls are M-theory membranes.
|
[
{
"created": "Tue, 28 Jul 1998 15:34:27 GMT",
"version": "v1"
}
] |
2010-04-07
|
[
[
"Aharony",
"Ofer",
""
],
[
"Witten",
"Edward",
""
]
] |
Upon compactification on a circle, SU(N) gauge theory with all fields in the adjoint representation acquires a $Z_N$ global symmetry because the center of the gauge group is $Z_N$. For N=4 super Yang-Mills theory, we show how this $Z_N$ "topological symmetry" arises in the context of the AdS/CFT correspondence, and why the symmetry group is $Z_N$ rather than U(1). This provides a test of the AdS/CFT correspondence for finite N. If the theory is formulated on $R^3 \times S^1$ with anti-periodic boundary conditions for fermions around the $S^1$, the topological symmetry is spontaneously broken; we show that the domain walls are D-strings, and hence that flux tubes associated with magnetic confinement can end on the domain walls associated with the topological symmetry. For the (0,2) $A_{N-1}$ superconformal field theory in six dimensions, we demonstrate an analogous phenomenon: a $Z_N$ global symmetry group arises if this theory is compactified on a Riemann surface. In this case, the domain walls are M-theory membranes.
|
2209.09251
|
Sebastian Grieninger
|
Mario Flory, Sebastian Grieninger, Sergio Morales-Tejera
|
Critical and near-critical relaxation of holographic superfluids
|
v2: added appendix D + references; 5+6 pages, 2+2 figures
|
Phys. Rev. D 110, 026019 (2024)
|
10.1103/PhysRevD.110.026019
|
IFT-UAM/CSIC-22-108
|
hep-th cond-mat.mes-hall gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We investigate the relaxation of holographic superfluids after quenches, when
the end state is either tuned to be exactly at the critical point, or very
close to it. By solving the bulk equations of motion numerically, we
demonstrate that in the former case the system exhibits a power law falloff as
well as an emergent discrete scale invariance. The later case is in the regime
dominated by critical slowing down, and we show that there is an intermediate
time-range before the onset of late time exponential falloff, where the system
behaves similarly to the critical point with its power law falloff. We further
postulate a phenomenological Gross-Pitaevskii-like equation that is able to
make quantitative predictions for the behavior of the holographic superfluid
after near-critical quenches. Intriguingly, all parameters of our
phenomenological equation which describes the non-linear time evolution may be
fixed with information from the static equilibrium solutions and linear
response theory.
|
[
{
"created": "Mon, 19 Sep 2022 18:00:00 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Jul 2024 15:05:49 GMT",
"version": "v2"
}
] |
2024-07-24
|
[
[
"Flory",
"Mario",
""
],
[
"Grieninger",
"Sebastian",
""
],
[
"Morales-Tejera",
"Sergio",
""
]
] |
We investigate the relaxation of holographic superfluids after quenches, when the end state is either tuned to be exactly at the critical point, or very close to it. By solving the bulk equations of motion numerically, we demonstrate that in the former case the system exhibits a power law falloff as well as an emergent discrete scale invariance. The later case is in the regime dominated by critical slowing down, and we show that there is an intermediate time-range before the onset of late time exponential falloff, where the system behaves similarly to the critical point with its power law falloff. We further postulate a phenomenological Gross-Pitaevskii-like equation that is able to make quantitative predictions for the behavior of the holographic superfluid after near-critical quenches. Intriguingly, all parameters of our phenomenological equation which describes the non-linear time evolution may be fixed with information from the static equilibrium solutions and linear response theory.
|
1810.00040
|
Sean McWilliams
|
Sean T. McWilliams
|
Analytical Black-Hole Binary Merger Waveforms
|
Replaced with version accepted to PRL. Includes Supplementary
Material with additional content, in particular an illustration of the
physical merger model, that was requested by the referees
|
Phys. Rev. Lett. 122, 191102 (2019)
|
10.1103/PhysRevLett.122.191102
| null |
gr-qc astro-ph.HE
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a highly accurate, fully analytical model for the late inspiral,
merger, and ringdown of black-hole binaries with arbitrary mass ratios and spin
vectors, including the contributions of harmonics beyond the fundamental mode.
This model assumes only that nonlinear effects remain small throughout the
entire coalescence, and is developed based on a physical understanding of the
dynamics of late stage binary evolution, in particular on the tendency of the
dynamical binary spacetime to behave like a linear perturbation of the static
merger-remnant spacetime, even at times before the merger has occurred. We
demonstrate that our model agrees with the most accurate numerical relativity
results to within their own uncertainties throughout the merger-ringdown phase,
and it does so for example cases spanning the full range of binary parameter
space that is currently testable with numerical relativity. Furthermore, our
model maintains accuracy back to the innermost stable circular orbit of the
merger-remnant spacetime over much of the relevant parameter space, greatly
decreasing the need to introduce phenomenological degrees of freedom to
describe the late inspiral.
|
[
{
"created": "Fri, 28 Sep 2018 18:48:24 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Apr 2019 23:54:40 GMT",
"version": "v2"
}
] |
2019-05-22
|
[
[
"McWilliams",
"Sean T.",
""
]
] |
We present a highly accurate, fully analytical model for the late inspiral, merger, and ringdown of black-hole binaries with arbitrary mass ratios and spin vectors, including the contributions of harmonics beyond the fundamental mode. This model assumes only that nonlinear effects remain small throughout the entire coalescence, and is developed based on a physical understanding of the dynamics of late stage binary evolution, in particular on the tendency of the dynamical binary spacetime to behave like a linear perturbation of the static merger-remnant spacetime, even at times before the merger has occurred. We demonstrate that our model agrees with the most accurate numerical relativity results to within their own uncertainties throughout the merger-ringdown phase, and it does so for example cases spanning the full range of binary parameter space that is currently testable with numerical relativity. Furthermore, our model maintains accuracy back to the innermost stable circular orbit of the merger-remnant spacetime over much of the relevant parameter space, greatly decreasing the need to introduce phenomenological degrees of freedom to describe the late inspiral.
|
1301.1231
|
Masoumeh Ghasemkhani
|
Masoumeh Ghasemkhani
|
Study of the photon's pole structure in the noncommutative Schwinger
model
| null |
Eur. Phys. J. C (2014) 74: 2921
|
10.1140/epjc/s10052-014-2921-4
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The photon self-energy of the noncommutative Schwinger model at two- and
three-loop order is analyzed. It is shown that the mass spectrum of the model
does not receive any correction from noncommutativity parameter ($\theta$) at
these orders. Also it remains unchanged to all orders. The exact one-loop
effective action for the photon is also calculated.
|
[
{
"created": "Mon, 7 Jan 2013 15:39:42 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Jun 2014 15:04:36 GMT",
"version": "v2"
},
{
"created": "Sat, 12 Jul 2014 19:22:37 GMT",
"version": "v3"
}
] |
2014-07-15
|
[
[
"Ghasemkhani",
"Masoumeh",
""
]
] |
The photon self-energy of the noncommutative Schwinger model at two- and three-loop order is analyzed. It is shown that the mass spectrum of the model does not receive any correction from noncommutativity parameter ($\theta$) at these orders. Also it remains unchanged to all orders. The exact one-loop effective action for the photon is also calculated.
|
1903.12100
|
Christoph Adam
|
C. Adam, K. Oles, T. Romanczukiewicz, A. Wereszczynski
|
Spectral Walls in Soliton Collisions
|
latex, 5 pages, 3 figures; v2: version published in PRL
|
Phys. Rev. Lett. 122, 241601 (2019)
|
10.1103/PhysRevLett.122.241601
| null |
hep-th math-ph math.MP nlin.PS
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
During defect-antidefect scattering, bound modes frequently disappear into
the continuous spectrum before the defects themselves collide. This leads to a
structural, nonperturbative change in the spectrum of small excitations.
Sometimes the effect can be seen as a hard wall from which the defect can
bounce off. We show the existence of these spectral walls and study their
properties in the $\phi^4$ model with BPS preserving impurity, where the
spectral wall phenomenon can be isolated because the static force between the
antikink and the impurity vanishes. We conclude that such spectral walls should
surround all solitons possessing internal modes.
|
[
{
"created": "Thu, 28 Mar 2019 16:37:40 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Jun 2019 15:23:21 GMT",
"version": "v2"
}
] |
2019-06-26
|
[
[
"Adam",
"C.",
""
],
[
"Oles",
"K.",
""
],
[
"Romanczukiewicz",
"T.",
""
],
[
"Wereszczynski",
"A.",
""
]
] |
During defect-antidefect scattering, bound modes frequently disappear into the continuous spectrum before the defects themselves collide. This leads to a structural, nonperturbative change in the spectrum of small excitations. Sometimes the effect can be seen as a hard wall from which the defect can bounce off. We show the existence of these spectral walls and study their properties in the $\phi^4$ model with BPS preserving impurity, where the spectral wall phenomenon can be isolated because the static force between the antikink and the impurity vanishes. We conclude that such spectral walls should surround all solitons possessing internal modes.
|
2211.09129
|
Atakan Hilmi F{\i}rat
|
Harold Erbin, Atakan Hilmi F{\i}rat
|
Characterizing 4-string contact interaction using machine learning
|
28+10 pages, 13 figures, 6 tables
|
JHEP04(2024)016
|
10.1007/JHEP04(2024)016
|
MIT-CTP/5494
|
hep-th cs.LG math.CV
|
http://creativecommons.org/licenses/by/4.0/
|
The geometry of 4-string contact interaction of closed string field theory is
characterized using machine learning. We obtain Strebel quadratic differentials
on 4-punctured spheres as a neural network by performing unsupervised learning
with a custom-built loss function. This allows us to solve for local
coordinates and compute their associated mapping radii numerically. We also
train a neural network distinguishing vertex from Feynman region. As a check,
4-tachyon contact term in the tachyon potential is computed and a good
agreement with the results in the literature is observed. We argue that our
algorithm is manifestly independent of number of punctures and scaling it to
characterize the geometry of $n$-string contact interaction is feasible.
|
[
{
"created": "Wed, 16 Nov 2022 19:00:00 GMT",
"version": "v1"
}
] |
2024-04-08
|
[
[
"Erbin",
"Harold",
""
],
[
"Fırat",
"Atakan Hilmi",
""
]
] |
The geometry of 4-string contact interaction of closed string field theory is characterized using machine learning. We obtain Strebel quadratic differentials on 4-punctured spheres as a neural network by performing unsupervised learning with a custom-built loss function. This allows us to solve for local coordinates and compute their associated mapping radii numerically. We also train a neural network distinguishing vertex from Feynman region. As a check, 4-tachyon contact term in the tachyon potential is computed and a good agreement with the results in the literature is observed. We argue that our algorithm is manifestly independent of number of punctures and scaling it to characterize the geometry of $n$-string contact interaction is feasible.
|
0712.0876
|
Marco Ghiotti
|
Marco Ghiotti
|
Gauge fixing and BRST formalism in non-Abelian gauge theories
|
Jan 2007. 146pp. Ph.D. Thesis (Advisor: L. von Smekal and A.G.
Williams)
| null | null | null |
hep-th
| null |
In this Thesis we present a comprehensive study of perturbative and
non-perturbative non-Abelian gauge theories in the light of gauge-fixing
procedures, focusing our attention on the BRST formalism in Yang-Mills theory.
We propose first a model to re-write the Faddeev-Popov quantisation method in
terms of group-theoretical techniques and then we give a possible way to solve
the no-go theorem of Neuberger for lattice Yang-Mills theory with double BRST
symmetry. In the final part we present a study of the Batalin-Vilkovisky
quantisation method for non-linear gauges in non-Abelian gauge theories.
|
[
{
"created": "Thu, 6 Dec 2007 05:36:59 GMT",
"version": "v1"
}
] |
2007-12-07
|
[
[
"Ghiotti",
"Marco",
""
]
] |
In this Thesis we present a comprehensive study of perturbative and non-perturbative non-Abelian gauge theories in the light of gauge-fixing procedures, focusing our attention on the BRST formalism in Yang-Mills theory. We propose first a model to re-write the Faddeev-Popov quantisation method in terms of group-theoretical techniques and then we give a possible way to solve the no-go theorem of Neuberger for lattice Yang-Mills theory with double BRST symmetry. In the final part we present a study of the Batalin-Vilkovisky quantisation method for non-linear gauges in non-Abelian gauge theories.
|
1506.01847
|
David Tempo
|
Marc Henneaux, Alfredo Perez, David Tempo, Ricardo Troncoso
|
Hypersymmetry bounds and three-dimensional higher-spin black holes
|
26 pages
| null |
10.1007/JHEP08(2015)021
|
CECS-PHY-15/01
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the hypersymmetry bounds on the higher spin black hole
parameters that follow from the asymptotic symmetry superalgebra in higher-spin
anti-de Sitter gravity in three spacetime dimensions. We consider anti-de
Sitter hypergravity for which the analysis is most transparent. This is a
$osp(1\vert 4) \oplus osp(1\vert 4)$ Chern-Simons theory which contains,
besides a spin-$2$ field, a spin-$4$ field and a spin-$5/2$ field. The
asymptotic symmetry superalgebra is then the direct sum of two-copies of the
hypersymmetric extension $W_{(2,\frac52,4)}$ of $W_{(2,4)}$, which contains
fermionic generators of conformal weight $5/2$ and bosonic generators of
conformal weight $4$ in addition to the Virasoro generators. Following standard
methods, we derive bounds on the conserved charges from the anticommutator of
the hypersymmetry generators. The hypersymmetry bounds are nonlinear and are
saturated by the hypersymmetric black holes, which turn out to possess
$1/4$-hypersymmetry and to be "extreme", where extremality can be defined in
terms of the entropy: extreme black holes are those that fulfill the
extremality bounds beyond which the entropy ceases to be a real function of the
black hole parameters. We also extend the analysis to other $sp(4)$-solitonic
solutions which are maximally (hyper)symmetric.
|
[
{
"created": "Fri, 5 Jun 2015 09:59:35 GMT",
"version": "v1"
}
] |
2015-09-02
|
[
[
"Henneaux",
"Marc",
""
],
[
"Perez",
"Alfredo",
""
],
[
"Tempo",
"David",
""
],
[
"Troncoso",
"Ricardo",
""
]
] |
We investigate the hypersymmetry bounds on the higher spin black hole parameters that follow from the asymptotic symmetry superalgebra in higher-spin anti-de Sitter gravity in three spacetime dimensions. We consider anti-de Sitter hypergravity for which the analysis is most transparent. This is a $osp(1\vert 4) \oplus osp(1\vert 4)$ Chern-Simons theory which contains, besides a spin-$2$ field, a spin-$4$ field and a spin-$5/2$ field. The asymptotic symmetry superalgebra is then the direct sum of two-copies of the hypersymmetric extension $W_{(2,\frac52,4)}$ of $W_{(2,4)}$, which contains fermionic generators of conformal weight $5/2$ and bosonic generators of conformal weight $4$ in addition to the Virasoro generators. Following standard methods, we derive bounds on the conserved charges from the anticommutator of the hypersymmetry generators. The hypersymmetry bounds are nonlinear and are saturated by the hypersymmetric black holes, which turn out to possess $1/4$-hypersymmetry and to be "extreme", where extremality can be defined in terms of the entropy: extreme black holes are those that fulfill the extremality bounds beyond which the entropy ceases to be a real function of the black hole parameters. We also extend the analysis to other $sp(4)$-solitonic solutions which are maximally (hyper)symmetric.
|
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