id
stringlengths 9
14
| submitter
stringlengths 1
56
⌀ | authors
stringlengths 5
835
| title
stringlengths 5
209
| comments
stringlengths 2
590
⌀ | journal-ref
stringlengths 11
239
⌀ | doi
stringlengths 14
94
⌀ | report-no
stringlengths 4
104
⌀ | categories
stringclasses 610
values | license
stringclasses 9
values | orig_abstract
stringlengths 22
2.01k
| versions
listlengths 1
16
| update_date
stringdate 2007-05-23 00:00:00
2024-08-16 00:00:00
| authors_parsed
listlengths 1
32
| abstract
stringlengths 19
2.01k
| perplexity_Llama-3.1-8B
float64 2.29
655
| perplexity_s1-L-3.1-8B-base
float64 2.77
362
| perplexity_s2-L-3.1-8B-base
float64 3.14
496
| perplexity_s3-L-3.1-8B-base_v3
float64 2.9
431
| perplexity_s4-L-3.1-8B-base
float64 2.88
422
| perplexity_s5-L-3.1-8B-base
float64 2.95
414
| perplexity_s6-L-3.1-8B-base
float64 2.99
340
| perplexity_s7-L-3.1-8B-base
float64 2.91
467
| perplexity_s8-L-3.1-8B-base
float64 2.89
220
| perplexity_s9-L-3.1-8B-base
float64 3.21
1.68k
| perplexity_s10-L-3.1-8B-base
float64 2.98
600
| perplexity_s1-L-3.1-8B-qkv_v2
float64 2.92
729
| perplexity_s2-L-3.1-8B-qkv
float64 3.05
621
| perplexity_s3-L-3.1-8B-qkv
float64 2.96
631
| perplexity_s4-L-3.1-8B-qkv
float64 2.86
570
| perplexity_s5-L-3.1-8B-qkv
float64 2.93
558
| perplexity_s6-L-3.1-8B-qkv
float64 2.96
669
| perplexity_s7-L-3.1-8B-qkv2
float64 2.95
682
| perplexity_s8-L-3.1-8B-qkv
float64 2.92
502
| perplexity_s9-L-3.1-8B-qkv
float64 3.06
549
| perplexity_s10-L-3.1-8B-qkv
float64 2.95
795
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1308.5552
|
Gabriele Tartaglino-Mazzucchelli
|
Sergei M. Kuzenko, Joseph Novak and Gabriele Tartaglino-Mazzucchelli
|
N=6 superconformal gravity in three dimensions from superspace
|
15 pages; V2: minor corrections, comments and appendix added
|
JHEP 1401 (2014) 121
|
10.1007/JHEP01(2014)121
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A unique feature of N=6 conformal supergravity in three dimensions is that
the super Cotton tensor W^{IJKL} can equivalently be viewed, via the Hodge
duality, as the field strength of an Abelian vector multiplet, W^{IJ}. Using
this observation and the conformal superspace techniques developed in
arXiv:1305.3132 and arXiv:1306.1205, we construct the off-shell action for N=6
conformal supergravity. The complete component action is also worked out.
|
[
{
"created": "Mon, 26 Aug 2013 12:06:24 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Oct 2013 09:54:27 GMT",
"version": "v2"
}
] |
2015-10-08
|
[
[
"Kuzenko",
"Sergei M.",
""
],
[
"Novak",
"Joseph",
""
],
[
"Tartaglino-Mazzucchelli",
"Gabriele",
""
]
] |
A unique feature of N=6 conformal supergravity in three dimensions is that the super Cotton tensor W^{IJKL} can equivalently be viewed, via the Hodge duality, as the field strength of an Abelian vector multiplet, W^{IJ}. Using this observation and the conformal superspace techniques developed in arXiv:1305.3132 and arXiv:1306.1205, we construct the off-shell action for N=6 conformal supergravity. The complete component action is also worked out.
| 6.749165
| 5.91267
| 7.373264
| 6.038477
| 6.643005
| 6.435984
| 6.713888
| 6.169628
| 6.392484
| 7.753814
| 6.1946
| 6.2399
| 6.243643
| 5.87459
| 5.727551
| 6.108322
| 6.018791
| 6.237344
| 5.821867
| 6.160258
| 5.791757
|
1001.0906
|
Eoin \'O Colg\'ain
|
Bin Chen, Eoin \'O. Colg\'ain, Jun-Bao Wu, Hossein Yavartanoo
|
N = 2 SCFTs: An M5-brane perspective
|
27 pages
|
JHEP 1004:078,2010
|
10.1007/JHEP04(2010)078
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Inspired by the recently discovered holographic duality between N=2 SCFTs and
half-BPS M-theory backgrounds, we study probe M5-branes. Though our main focus
is supersymmetric M5-branes whose worldvolume has an AdS_n factor, we also
consider some other configurations. Of special mention is the identification of
AdS_5 and AdS_3 probes preserving supersymmetry, with only the latter
supporting a self-dual field strength.
|
[
{
"created": "Wed, 6 Jan 2010 14:25:29 GMT",
"version": "v1"
}
] |
2010-11-02
|
[
[
"Chen",
"Bin",
""
],
[
"Colgáin",
"Eoin Ó.",
""
],
[
"Wu",
"Jun-Bao",
""
],
[
"Yavartanoo",
"Hossein",
""
]
] |
Inspired by the recently discovered holographic duality between N=2 SCFTs and half-BPS M-theory backgrounds, we study probe M5-branes. Though our main focus is supersymmetric M5-branes whose worldvolume has an AdS_n factor, we also consider some other configurations. Of special mention is the identification of AdS_5 and AdS_3 probes preserving supersymmetry, with only the latter supporting a self-dual field strength.
| 11.668668
| 11.145962
| 14.07655
| 10.27445
| 10.834484
| 11.030024
| 10.693482
| 9.726294
| 10.090967
| 14.733862
| 10.101238
| 10.533723
| 12.842043
| 11.124877
| 10.140477
| 10.540353
| 10.289632
| 9.935055
| 10.748526
| 12.789125
| 10.381077
|
1106.5766
|
Jorge Bellor\'in
|
Jorge Bellor\'in and Alvaro Restuccia
|
Consistency of the Hamiltonian formulation of the lowest-order effective
action of the complete Horava theory
|
The Introduction has been expanded. The role of the coupling
constants of boundary terms has been clarified. Other minor changes in
wording
|
Phys. Rev. D84 (2011) 104037
|
10.1103/PhysRevD.84.104037
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We perform the Hamiltonian analysis for the lowest-order effective action, up
to second order in derivatives, of the complete Horava theory. The model
includes the invariant terms that depend on \partial_i ln N proposed by Blas,
Pujolas and Sibiryakov. We show that the algebra of constraints closes. The
"Hamiltonian" constraint is of second-class behavior and it can be regarded as
an elliptic partial differential equation for N. The linearized version of this
equation is a Poisson equation for N that can be solved consistently. The
preservation in time of the Hamiltonian constraint yields an equation that can
be consistently solved for a Lagrange multiplier of the theory. The model has
six propagating degrees of freedom in the phase space, corresponding to three
even physical modes. When compared with the \lambda R model studied by us in a
previous paper, it lacks two second-class constraints, which leads to the extra
even mode.
|
[
{
"created": "Tue, 28 Jun 2011 19:15:38 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Jul 2011 19:22:07 GMT",
"version": "v2"
},
{
"created": "Wed, 7 Dec 2011 17:06:12 GMT",
"version": "v3"
}
] |
2011-12-08
|
[
[
"Bellorín",
"Jorge",
""
],
[
"Restuccia",
"Alvaro",
""
]
] |
We perform the Hamiltonian analysis for the lowest-order effective action, up to second order in derivatives, of the complete Horava theory. The model includes the invariant terms that depend on \partial_i ln N proposed by Blas, Pujolas and Sibiryakov. We show that the algebra of constraints closes. The "Hamiltonian" constraint is of second-class behavior and it can be regarded as an elliptic partial differential equation for N. The linearized version of this equation is a Poisson equation for N that can be solved consistently. The preservation in time of the Hamiltonian constraint yields an equation that can be consistently solved for a Lagrange multiplier of the theory. The model has six propagating degrees of freedom in the phase space, corresponding to three even physical modes. When compared with the \lambda R model studied by us in a previous paper, it lacks two second-class constraints, which leads to the extra even mode.
| 8.806988
| 9.275878
| 10.390177
| 9.383984
| 9.744048
| 9.877473
| 10.158214
| 8.350524
| 8.640087
| 9.977155
| 8.688256
| 8.796969
| 8.951867
| 8.895345
| 8.497802
| 8.285295
| 8.873872
| 8.332028
| 8.645735
| 8.799574
| 8.381442
|
1305.4876
|
Scott Davies
|
Zvi Bern, Scott Davies, Tristan Dennen
|
The Ultraviolet Structure of Half-Maximal Supergravity with Matter
Multiplets at Two and Three Loops
|
37 pages, 7 figures, REVTex
| null |
10.1103/PhysRevD.88.065007
|
UCLA/13/TEP/105
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using the duality between color and kinematics, we construct the two- and
three-loop amplitudes of half-maximal supergravity with matter multiplets and
show that new divergences occur in D=4 and D=5. Bossard, Howe and Stelle have
recently conjectured the existence of 16-supercharge off-shell harmonic
superspaces in order to explain the ultraviolet finiteness of pure half-maximal
supergravity with no matter multiplets in D=4 at three loops and in D=5 at two
loops. By assuming the required superspace exists in D=5, they argued that no
new divergences should occur at two loops even with the addition of
abelian-vector matter multiplets. Up to possible issues with the SL(2,R) global
anomaly of the theory, they reached a similar conclusion in D=4 for two and
three loops. The divergences we find contradict these predictions based on the
existence of the desired off-shell superspaces. Furthermore, our D=4 results
are incompatible with the new divergences being due to the anomaly. We find
that the two-loop divergences of half-maximal supergravity are directly
controlled by the divergences appearing in ordinary nonsupersymmetric
Yang-Mills theory coupled to scalars, explaining why half-maximal supergravity
develops new divergences when matter multiplets are added. We also provide a
list of one- and two-loop counterterms that should be helpful for constraining
any future potential explanations of the observed vanishings of divergences in
pure half-maximal supergravity.
|
[
{
"created": "Tue, 21 May 2013 16:39:28 GMT",
"version": "v1"
}
] |
2013-09-11
|
[
[
"Bern",
"Zvi",
""
],
[
"Davies",
"Scott",
""
],
[
"Dennen",
"Tristan",
""
]
] |
Using the duality between color and kinematics, we construct the two- and three-loop amplitudes of half-maximal supergravity with matter multiplets and show that new divergences occur in D=4 and D=5. Bossard, Howe and Stelle have recently conjectured the existence of 16-supercharge off-shell harmonic superspaces in order to explain the ultraviolet finiteness of pure half-maximal supergravity with no matter multiplets in D=4 at three loops and in D=5 at two loops. By assuming the required superspace exists in D=5, they argued that no new divergences should occur at two loops even with the addition of abelian-vector matter multiplets. Up to possible issues with the SL(2,R) global anomaly of the theory, they reached a similar conclusion in D=4 for two and three loops. The divergences we find contradict these predictions based on the existence of the desired off-shell superspaces. Furthermore, our D=4 results are incompatible with the new divergences being due to the anomaly. We find that the two-loop divergences of half-maximal supergravity are directly controlled by the divergences appearing in ordinary nonsupersymmetric Yang-Mills theory coupled to scalars, explaining why half-maximal supergravity develops new divergences when matter multiplets are added. We also provide a list of one- and two-loop counterterms that should be helpful for constraining any future potential explanations of the observed vanishings of divergences in pure half-maximal supergravity.
| 7.008755
| 7.2857
| 7.648919
| 7.004494
| 7.331507
| 7.213521
| 7.439596
| 7.473437
| 7.4265
| 8.616991
| 7.003353
| 6.970232
| 7.322748
| 7.154198
| 7.147377
| 6.962291
| 6.762215
| 7.061949
| 7.05195
| 7.380481
| 6.853949
|
hep-th/0512107
|
Etera R. Livine
|
F. Girelli, T. Konopka, J. Kowalski-Glikman, E.R. Livine
|
The Free Particle in Deformed Special Relativity
|
15 pages
|
Phys.Rev.D73:045009,2006
|
10.1103/PhysRevD.73.045009
| null |
hep-th
| null |
The phase space of a classical particle in DSR contains de Sitter space as
the space of momenta. We start from the standard relativistic particle in five
dimensions with an extra constraint and reduce it to four dimensional DSR by
imposing appropriate gauge fixing. We analyze some physical properties of the
resulting theories like the equations of motion, the form of Lorentz
transformations and the issue of velocity. We also address the problem of the
origin and interpretation of different bases in DSR.
|
[
{
"created": "Fri, 9 Dec 2005 16:18:19 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Dec 2005 17:42:44 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Girelli",
"F.",
""
],
[
"Konopka",
"T.",
""
],
[
"Kowalski-Glikman",
"J.",
""
],
[
"Livine",
"E. R.",
""
]
] |
The phase space of a classical particle in DSR contains de Sitter space as the space of momenta. We start from the standard relativistic particle in five dimensions with an extra constraint and reduce it to four dimensional DSR by imposing appropriate gauge fixing. We analyze some physical properties of the resulting theories like the equations of motion, the form of Lorentz transformations and the issue of velocity. We also address the problem of the origin and interpretation of different bases in DSR.
| 13.671293
| 11.857662
| 13.1721
| 13.04797
| 13.353118
| 12.451191
| 12.959158
| 12.935826
| 12.538912
| 14.634062
| 12.208602
| 12.655005
| 13.603644
| 12.945148
| 12.586292
| 12.763312
| 13.667963
| 12.486743
| 13.180673
| 13.266121
| 12.78746
|
hep-th/0001022
|
Bogdan Damski
|
Bogdan Damski (Jagiellonian University)
|
Supersymmetry and Bogomol'nyi equations in the Maxwell Chern-Simons
systems
|
LaTeX, 9 pages, no figures
|
Acta Phys.Polon.B31:637-646,2000
| null | null |
hep-th
| null |
We take advantage of the superspace formalism and explicitly find the N=2
supersymmetric extension of the Maxwell Chern-Simons model. In our construction
a special form of a potential term and indispensability of an additional
neutral scalar field arise naturally. By considering the algebra of
supersymmetric charges we find Bogomol'nyi equations for the investigated
model.
|
[
{
"created": "Thu, 6 Jan 2000 09:25:45 GMT",
"version": "v1"
}
] |
2010-02-04
|
[
[
"Damski",
"Bogdan",
"",
"Jagiellonian University"
]
] |
We take advantage of the superspace formalism and explicitly find the N=2 supersymmetric extension of the Maxwell Chern-Simons model. In our construction a special form of a potential term and indispensability of an additional neutral scalar field arise naturally. By considering the algebra of supersymmetric charges we find Bogomol'nyi equations for the investigated model.
| 14.809638
| 12.388017
| 15.480004
| 13.472054
| 16.413773
| 12.121862
| 13.185431
| 12.567593
| 12.790071
| 16.887987
| 12.842687
| 13.217075
| 14.367459
| 13.564281
| 13.209364
| 13.078452
| 13.342486
| 13.333092
| 13.578701
| 14.225118
| 12.72653
|
hep-th/0609030
|
Brett D. Altschul
|
Brett Altschul
|
Vacuum Cerenkov Radiation in Lorentz-Violating Theories Without CPT
Violation
|
9 pages
|
Phys.Rev.Lett.98:041603,2007
|
10.1103/PhysRevLett.98.041603
|
IUHET-499
|
hep-th
| null |
In theories with broken Lorentz symmetry, Cerenkov radiation may be possible
even in vacuum. We analyze the Cerenkov emissions that are associated with the
least constrained Lorentz-violating modifications of the photon sector,
calculating the threshold energy, the frequency spectrum, and the shape of the
Mach cone. In order to obtain sensible results for the total power emitted, we
must make use of information contained within the theory which indicates at
what scale new physics must enter.
|
[
{
"created": "Mon, 4 Sep 2006 18:06:38 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Altschul",
"Brett",
""
]
] |
In theories with broken Lorentz symmetry, Cerenkov radiation may be possible even in vacuum. We analyze the Cerenkov emissions that are associated with the least constrained Lorentz-violating modifications of the photon sector, calculating the threshold energy, the frequency spectrum, and the shape of the Mach cone. In order to obtain sensible results for the total power emitted, we must make use of information contained within the theory which indicates at what scale new physics must enter.
| 12.895496
| 13.906342
| 11.951592
| 11.239537
| 11.629382
| 14.938672
| 14.226415
| 13.027396
| 11.326039
| 12.837996
| 12.472303
| 12.182994
| 12.455395
| 11.696544
| 12.219009
| 12.15149
| 11.784793
| 11.97925
| 11.326156
| 12.224904
| 11.968935
|
hep-th/0108215
|
Carsten Van de Bruck
|
P. Brax, C. van de Bruck and A.C. Davis
|
Brane-World Cosmology, Bulk Scalars and Perturbations
|
29 pages, one figure, JHEP3-style
|
JHEP 0110:026,2001
|
10.1088/1126-6708/2001/10/026
|
CERN-TH/2001-225; DAMTP-2001-51
|
hep-th astro-ph gr-qc hep-ph
| null |
We investigate aspects of cosmology in brane world theories with a bulk
scalar field. We concentrate on a recent model motivated from supergravity in
singular spaces. After discussing the background evolution of such a
brane-world, we present the evolution of the density contrast. We compare our
results to those obtained in the (second) Randall-Sundrum scenario and usual 4D
scalar-tensor theories.
|
[
{
"created": "Wed, 29 Aug 2001 11:33:50 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Brax",
"P.",
""
],
[
"van de Bruck",
"C.",
""
],
[
"Davis",
"A. C.",
""
]
] |
We investigate aspects of cosmology in brane world theories with a bulk scalar field. We concentrate on a recent model motivated from supergravity in singular spaces. After discussing the background evolution of such a brane-world, we present the evolution of the density contrast. We compare our results to those obtained in the (second) Randall-Sundrum scenario and usual 4D scalar-tensor theories.
| 10.498919
| 10.056781
| 9.43586
| 8.90206
| 9.299705
| 9.873626
| 10.070894
| 9.432437
| 9.91342
| 9.740125
| 9.431442
| 9.964449
| 9.29543
| 9.296086
| 9.873852
| 9.809569
| 9.950487
| 9.849707
| 9.544321
| 9.438684
| 9.766199
|
0904.3483
|
Ayse Kizilersu
|
A. Kizilersu and M.R. Pennington
|
Building the Full Fermion-Photon Vertex of QED by Imposing
Multiplicative Renormalizability of the Schwinger-Dyson Equations for the
Fermion and Photon Propagators
|
57 pages, 3 figures
|
Phys.Rev.D79:125020,2009
|
10.1103/PhysRevD.79.125020
|
IPPP/09/28, DCPT/09/56, ADP-09-06/T686
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In principle, calculation of a full Green's function in any field theory
requires knowledge of the infinite set of multi-point Green's functions, unless
one can find some way of truncating the corresponding Schwinger-Dyson
equations. For the fermion and boson propagators in QED this requires an {\it
ansatz} for the full three point vertex. Here we illustrate how the properties
of gauge invariance, gauge covariance and multiplicative renormalizability
impose severe constraints on this fermion-boson interaction, allowing a
consistent truncation of the propagator equations. We demonstrate how these
conditions imply that the 3-point vertex {\bf in the propagator equations} is
largely determined by the behaviour of the fermion propagator itself and not by
knowledge of the many higher point functions. We give an explicit form for the
fermion-photon vertex, which in the fermion and photon propagator fulfills
these constraints to all orders in leading logarithms for massless QED, and
accords with the weak coupling limit in perturbation theory at ${\cal
O}(\alpha)$. This provides the first attempt to deduce non-perturbative Feynman
rules for strong physics calculations of propagators in massless QED that
ensures a more consistent truncation of the 2-point Schwinger-Dyson equations.
The generalisation to next-to-leading order and masses will be described in a
longer publication.
|
[
{
"created": "Wed, 22 Apr 2009 15:55:53 GMT",
"version": "v1"
}
] |
2009-07-09
|
[
[
"Kizilersu",
"A.",
""
],
[
"Pennington",
"M. R.",
""
]
] |
In principle, calculation of a full Green's function in any field theory requires knowledge of the infinite set of multi-point Green's functions, unless one can find some way of truncating the corresponding Schwinger-Dyson equations. For the fermion and boson propagators in QED this requires an {\it ansatz} for the full three point vertex. Here we illustrate how the properties of gauge invariance, gauge covariance and multiplicative renormalizability impose severe constraints on this fermion-boson interaction, allowing a consistent truncation of the propagator equations. We demonstrate how these conditions imply that the 3-point vertex {\bf in the propagator equations} is largely determined by the behaviour of the fermion propagator itself and not by knowledge of the many higher point functions. We give an explicit form for the fermion-photon vertex, which in the fermion and photon propagator fulfills these constraints to all orders in leading logarithms for massless QED, and accords with the weak coupling limit in perturbation theory at ${\cal O}(\alpha)$. This provides the first attempt to deduce non-perturbative Feynman rules for strong physics calculations of propagators in massless QED that ensures a more consistent truncation of the 2-point Schwinger-Dyson equations. The generalisation to next-to-leading order and masses will be described in a longer publication.
| 9.283458
| 9.592187
| 9.245805
| 9.039716
| 9.771917
| 9.296684
| 9.358538
| 9.61925
| 9.180353
| 9.815628
| 9.054126
| 9.124003
| 8.934268
| 8.869223
| 9.136566
| 9.089962
| 9.171967
| 9.176811
| 8.965396
| 9.294305
| 8.914552
|
hep-th/0302166
|
Mahmut Hortacsu
|
M.Hortacsu
|
Conformal Symmetry and Triviality
|
7 pages, Plaintex, few sentences and three references added
| null | null | null |
hep-th
| null |
We study examples where conformal invariance implies triviality of the
underlying quantum field theory.
|
[
{
"created": "Thu, 20 Feb 2003 12:57:29 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Feb 2003 13:06:21 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Hortacsu",
"M.",
""
]
] |
We study examples where conformal invariance implies triviality of the underlying quantum field theory.
| 16.937187
| 10.831809
| 14.227361
| 11.55429
| 11.116109
| 10.910329
| 11.877837
| 11.063548
| 11.260023
| 12.527705
| 11.91776
| 13.787224
| 15.12291
| 13.33794
| 13.930174
| 13.937885
| 13.445628
| 13.745511
| 13.393506
| 13.467802
| 12.494527
|
1911.06290
|
Hovhannes Shmavonyan
|
Evgeny Ivanov, Armen Nersessian, Stepan Sidorov, Hovhannes Shmavonyan
|
Symmetries of deformed supersymmetric mechanics on K\"ahler manifolds
|
20 pages
|
Phys. Rev. D 101, 025003 (2020)
|
10.1103/PhysRevD.101.025003
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Based on the systematic Hamiltonian and superfield approaches we construct
the deformed $\mathcal{N}=4,8$ supersymmetric mechanics on K\"ahler manifolds
interacting with constant magnetic field, and study their symmetries. At first
we construct the deformed $\mathcal{N}=4,8$ supersymmetric Landau problem via
minimal coupling of standard (undeformed) $\mathcal{N}=4,8$ supersymmetric free
particle systems on K\"ahler manifold with constant magnetic field. We show
that the initial "flat" supersymmetries are necessarily deformed to $SU(2|1)$
and $SU(4|1)$ supersymmetries, with the magnetic field playing the role of
deformation parameter, and that the resulting systems inherit all the
kinematical symmetries of the initial ones. Then we construct $SU(2|1)$
supersymmetric K\"ahler oscillators and find that they include, as particular
cases, the harmonic oscillator models on complex Euclidian and complex
projective spaces, as well as superintegrable deformations thereof, viz.
$\mathbb{C}^N$-Smorodinsky-Winternitz and $\mathbb{CP}^N$-Rosochatius systems.
We show that the supersymmetric extensions proposed inherit all the kinematical
symmetries of the initial bosonic models. They also inherit, at least in the
case of $\mathbb{C}^N$ systems, hidden (non-kinematical) symmetries. The
superfield formulation of these supersymmetric systems is presented, based on
the worldline $SU(2|1)$ and $SU(4|1)$ superspace formalisms.
|
[
{
"created": "Thu, 14 Nov 2019 18:26:24 GMT",
"version": "v1"
}
] |
2020-01-15
|
[
[
"Ivanov",
"Evgeny",
""
],
[
"Nersessian",
"Armen",
""
],
[
"Sidorov",
"Stepan",
""
],
[
"Shmavonyan",
"Hovhannes",
""
]
] |
Based on the systematic Hamiltonian and superfield approaches we construct the deformed $\mathcal{N}=4,8$ supersymmetric mechanics on K\"ahler manifolds interacting with constant magnetic field, and study their symmetries. At first we construct the deformed $\mathcal{N}=4,8$ supersymmetric Landau problem via minimal coupling of standard (undeformed) $\mathcal{N}=4,8$ supersymmetric free particle systems on K\"ahler manifold with constant magnetic field. We show that the initial "flat" supersymmetries are necessarily deformed to $SU(2|1)$ and $SU(4|1)$ supersymmetries, with the magnetic field playing the role of deformation parameter, and that the resulting systems inherit all the kinematical symmetries of the initial ones. Then we construct $SU(2|1)$ supersymmetric K\"ahler oscillators and find that they include, as particular cases, the harmonic oscillator models on complex Euclidian and complex projective spaces, as well as superintegrable deformations thereof, viz. $\mathbb{C}^N$-Smorodinsky-Winternitz and $\mathbb{CP}^N$-Rosochatius systems. We show that the supersymmetric extensions proposed inherit all the kinematical symmetries of the initial bosonic models. They also inherit, at least in the case of $\mathbb{C}^N$ systems, hidden (non-kinematical) symmetries. The superfield formulation of these supersymmetric systems is presented, based on the worldline $SU(2|1)$ and $SU(4|1)$ superspace formalisms.
| 5.116371
| 5.285351
| 5.526098
| 4.983156
| 5.327991
| 5.169321
| 5.065582
| 4.983972
| 4.753467
| 5.617056
| 4.892675
| 4.843311
| 5.067094
| 4.854879
| 4.810358
| 4.770153
| 4.966676
| 4.888764
| 4.865036
| 5.086152
| 4.835897
|
1207.3602
|
Timothy Adamo
|
Tim Adamo, Lionel Mason
|
Twistor-strings and gravity tree amplitudes
|
32 pages, 3 figures. v2: many improvements to arguments and
discussion; v3: improvements, expansions, and corrections to interpretation
and discussion
|
Class.Quant.Grav. 30: 075020, 2013
|
10.1088/0264-9381/30/7/075020
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently we discussed how Einstein supergravity tree amplitudes might be
obtained from the original Witten and Berkovits twistor-string theory when
external conformal gravitons are restricted to be Einstein gravitons. Here we
obtain a more systematic understanding of the relationship between conformal
and Einstein gravity amplitudes in that twistor-string theory. We show that
although it does not in general yield Einstein amplitudes, we can nevertheless
obtain some partial twistor-string interpretation of the remarkable formulae
recently been found by Hodges and generalized to all tree amplitudes by Cachazo
and Skinner. The Hodges matrix and its higher degree generalizations encode the
world sheet correlators of the twistor string. These matrices control both
Einstein amplitudes and those of the conformal gravity arising from the Witten
and Berkovits twistor-string. Amplitudes in the latter case arise from products
of the diagonal elements of the generalized Hodges matrices and reduced
determinants give the former. The reduced determinants arise if the
contractions in the worldsheet correlator are restricted to form connected
trees at MHV. The (generalized) Hodges matrices arise as weighted Laplacian
matrices for the graph of possible contractions in the correlators and the
reduced determinants of these weighted Laplacian matrices give the sum of of
the connected tree contributions by an extension of the Matrix-Tree theorem.
|
[
{
"created": "Mon, 16 Jul 2012 08:45:49 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Aug 2012 19:25:15 GMT",
"version": "v2"
},
{
"created": "Mon, 7 Jan 2013 17:39:15 GMT",
"version": "v3"
}
] |
2015-06-05
|
[
[
"Adamo",
"Tim",
""
],
[
"Mason",
"Lionel",
""
]
] |
Recently we discussed how Einstein supergravity tree amplitudes might be obtained from the original Witten and Berkovits twistor-string theory when external conformal gravitons are restricted to be Einstein gravitons. Here we obtain a more systematic understanding of the relationship between conformal and Einstein gravity amplitudes in that twistor-string theory. We show that although it does not in general yield Einstein amplitudes, we can nevertheless obtain some partial twistor-string interpretation of the remarkable formulae recently been found by Hodges and generalized to all tree amplitudes by Cachazo and Skinner. The Hodges matrix and its higher degree generalizations encode the world sheet correlators of the twistor string. These matrices control both Einstein amplitudes and those of the conformal gravity arising from the Witten and Berkovits twistor-string. Amplitudes in the latter case arise from products of the diagonal elements of the generalized Hodges matrices and reduced determinants give the former. The reduced determinants arise if the contractions in the worldsheet correlator are restricted to form connected trees at MHV. The (generalized) Hodges matrices arise as weighted Laplacian matrices for the graph of possible contractions in the correlators and the reduced determinants of these weighted Laplacian matrices give the sum of of the connected tree contributions by an extension of the Matrix-Tree theorem.
| 10.397756
| 10.939147
| 12.359233
| 11.131523
| 10.587019
| 11.148827
| 11.355495
| 10.444978
| 11.343373
| 13.264966
| 11.538777
| 10.598865
| 10.86805
| 10.432925
| 10.62289
| 10.80864
| 10.464039
| 10.452689
| 10.531029
| 11.008213
| 10.354001
|
2407.21353
|
Takahiro Tanaka
|
Takahiro Tanaka and Yu Nakayama
|
Infinitely many new renormalization group flows between Virasoro minimal
models from non-invertible symmetries
|
30 pages, 6 tables, 2 figures
| null | null |
YITP-24-92
|
hep-th math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
Based on the study of non-invertible symmetries, we propose there exist
infinitely many new renormalization group flows between Virasoro minimal models
$\mathcal{M}(kq + I, q) \to\mathcal{M}(kq-I, q)$ induced by $\phi_{(1,2k+1)}$.
They vastly generalize the previously proposed ones $k=I=1$ by Zamolodchikov,
$k=1, I>1$ by Ahn and L\"assig, and $k=2$ by Dorey et al. All the other
$\mathbb{Z}_2$ preserving renormalization group flows sporadically known in the
literature (e.g. $\mathcal{M}(10,3) \to \mathcal{M}(8,3)$ studied by Klebanov
et al) fall into our proposal (e.g. $k=3, I=1$). We claim our new flows give a
complete understanding of the renormalization group flows between Virasoro
minimal models that preserve a modular tensor category with the $SU(2)_{q-2}$
fusion ring.
|
[
{
"created": "Wed, 31 Jul 2024 05:51:25 GMT",
"version": "v1"
}
] |
2024-08-01
|
[
[
"Tanaka",
"Takahiro",
""
],
[
"Nakayama",
"Yu",
""
]
] |
Based on the study of non-invertible symmetries, we propose there exist infinitely many new renormalization group flows between Virasoro minimal models $\mathcal{M}(kq + I, q) \to\mathcal{M}(kq-I, q)$ induced by $\phi_{(1,2k+1)}$. They vastly generalize the previously proposed ones $k=I=1$ by Zamolodchikov, $k=1, I>1$ by Ahn and L\"assig, and $k=2$ by Dorey et al. All the other $\mathbb{Z}_2$ preserving renormalization group flows sporadically known in the literature (e.g. $\mathcal{M}(10,3) \to \mathcal{M}(8,3)$ studied by Klebanov et al) fall into our proposal (e.g. $k=3, I=1$). We claim our new flows give a complete understanding of the renormalization group flows between Virasoro minimal models that preserve a modular tensor category with the $SU(2)_{q-2}$ fusion ring.
| 6.64235
| 6.499011
| 7.485957
| 6.588567
| 6.602341
| 6.869419
| 6.648373
| 6.430964
| 6.284452
| 7.327002
| 6.106472
| 5.952285
| 6.697467
| 6.039914
| 5.91996
| 5.982451
| 5.842294
| 5.96323
| 6.071763
| 6.405222
| 5.917784
|
hep-th/9701031
|
Remo Garattini
|
Remo Garattini
|
Energy Computation in Wormhole Background with the Wheeler-DeWitt
Operators
|
4 pages, LaTeX file uses espcrc2, Talk given at the Second Meeting on
Constrained Dynamics and Quantum Gravity, Santa Margherita Ligure, September
17-21, 1996, to appear in the Proceedings
|
Nucl.Phys.Proc.Suppl. 57 (1997) 316-319
|
10.1016/S0920-5632(97)00389-7
| null |
hep-th gr-qc
| null |
We investigate the possibility of computing energy by means of operators
associated to the Wheeler-DeWitt equation. By choosing three dimensional
wormholes as a framework, we apply such calculation scheme to the black hole
pair creation. We compare our results with the recent ones appeared in the
literature.
|
[
{
"created": "Thu, 9 Jan 1997 01:04:01 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Garattini",
"Remo",
""
]
] |
We investigate the possibility of computing energy by means of operators associated to the Wheeler-DeWitt equation. By choosing three dimensional wormholes as a framework, we apply such calculation scheme to the black hole pair creation. We compare our results with the recent ones appeared in the literature.
| 18.282272
| 18.638384
| 16.32428
| 16.291063
| 16.867443
| 18.592737
| 18.048754
| 16.631414
| 17.390696
| 17.57653
| 16.627066
| 16.70602
| 17.258314
| 16.629131
| 16.426174
| 16.492954
| 17.24012
| 17.089207
| 17.887772
| 17.24847
| 16.344847
|
1812.04039
|
Vladimir V Belokurov
|
Vladimir V. Belokurov and Evgeniy T. Shavgulidze
|
Polar decomposition of the Wiener measure: Schwarzian theory versus
conformal quantum mechanics
|
some typos are corrected
| null |
10.1134/S004057791909006X
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive the explicit form of the polar decomposition of the Wiener measure,
and obtain the equation connecting functional integrals in conformal quantum
mechanics to those in the Schwarzian theory. Using this connection we evaluate
some nontrivial functional integrals in the Schwarzian theory and also find the
fundamental solution of the Schroedinger equation in imaginary time in the
model of conformal quantum mechanics.
|
[
{
"created": "Mon, 10 Dec 2018 19:30:53 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Apr 2019 11:29:28 GMT",
"version": "v2"
},
{
"created": "Wed, 10 Apr 2019 19:08:18 GMT",
"version": "v3"
}
] |
2019-10-23
|
[
[
"Belokurov",
"Vladimir V.",
""
],
[
"Shavgulidze",
"Evgeniy T.",
""
]
] |
We derive the explicit form of the polar decomposition of the Wiener measure, and obtain the equation connecting functional integrals in conformal quantum mechanics to those in the Schwarzian theory. Using this connection we evaluate some nontrivial functional integrals in the Schwarzian theory and also find the fundamental solution of the Schroedinger equation in imaginary time in the model of conformal quantum mechanics.
| 10.487288
| 11.048932
| 10.564797
| 10.262429
| 10.18921
| 10.116442
| 10.095218
| 9.752449
| 10.313797
| 11.091471
| 9.012543
| 9.322226
| 10.375621
| 9.884901
| 10.317719
| 9.828218
| 9.775004
| 10.237378
| 9.775584
| 10.710481
| 10.201233
|
hep-th/0206119
|
Filipe Moura
|
Filipe Moura
|
Four dimensional R^4 superinvariants through gauge completion
|
20 pages, no figures. Sec. 3 clarified; typos corrected
|
JHEP 0208 (2002) 038
|
10.1088/1126-6708/2002/08/038
|
YITP-SB-02-26
|
hep-th
| null |
We fully compute the N=1 supersymmetrization of the fourth power of the Weyl
tensor in d=4 x-space with the auxiliary fields. In a previous paper, we showed
that their elimination requires an infinite number of terms; we explicitely
compute those terms to order \kappa^4 (three loop). We also write, in
superspace notation, all the possible N=1 actions, in four dimensions, that
contain pure R^4 terms (with coupling constants). We explicitely write these
actions in terms of the \theta components of the chiral density \epsilon and
the supergravity superfields R, G_m, W_{ABC}. Using the method of gauge
completion, we compute the necessary \theta components which allow us to write
these actions in x-space. We discuss under which circumstances can these extra
R^4 correction terms be reabsorbed in the pure supergravity action, and their
relevance to the quantum supergravity/string theory effective actions.
|
[
{
"created": "Fri, 14 Jun 2002 19:23:16 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Jul 2002 18:14:13 GMT",
"version": "v2"
},
{
"created": "Tue, 3 Sep 2002 05:43:33 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Moura",
"Filipe",
""
]
] |
We fully compute the N=1 supersymmetrization of the fourth power of the Weyl tensor in d=4 x-space with the auxiliary fields. In a previous paper, we showed that their elimination requires an infinite number of terms; we explicitely compute those terms to order \kappa^4 (three loop). We also write, in superspace notation, all the possible N=1 actions, in four dimensions, that contain pure R^4 terms (with coupling constants). We explicitely write these actions in terms of the \theta components of the chiral density \epsilon and the supergravity superfields R, G_m, W_{ABC}. Using the method of gauge completion, we compute the necessary \theta components which allow us to write these actions in x-space. We discuss under which circumstances can these extra R^4 correction terms be reabsorbed in the pure supergravity action, and their relevance to the quantum supergravity/string theory effective actions.
| 14.558013
| 14.966226
| 15.956694
| 13.891254
| 16.006392
| 13.588368
| 15.890751
| 14.337815
| 13.380222
| 17.714609
| 13.804054
| 15.057391
| 14.058043
| 14.092501
| 14.222708
| 14.405017
| 13.93504
| 14.196834
| 13.807949
| 14.467445
| 13.886493
|
0809.3793
|
Harold Blas
|
H. Blas and H.L. Carrion
|
Noncommmutative solitons and kinks in the affine Toda model coupled to
matter
|
6 pages. Talk presented at the Fifth International Conference of
Applied Mathematics and Computing (Plovdiv, Bulgaria, August 12 - 18, 2008).
Proceedings to appear in special issues of "International Journal of Pure and
Applied Mathematics"
|
International Journal of Pure and Applied Mathematics, 50 (2009)
213-219
| null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Some properties of the non-commutative (NC) versions of the generalized
sine-Gordon model (NCGSG) and its dual massive Thirring theory are studied. Our
method relies on the NC extension of integrable models and the master
lagrangian approach to deal with dual theories. The master lagrangian turns out
to be the NC version of the so-called affine Toda model coupled to matter
related to the group GL(n), in which the Toda field $g \subset GL(n), (n=2,
3)$. Moreover, as a reduction of GL(3) NCGSG one gets a NC version of the
remarkable double sine-Gordon model.
|
[
{
"created": "Mon, 22 Sep 2008 20:16:10 GMT",
"version": "v1"
}
] |
2009-03-21
|
[
[
"Blas",
"H.",
""
],
[
"Carrion",
"H. L.",
""
]
] |
Some properties of the non-commutative (NC) versions of the generalized sine-Gordon model (NCGSG) and its dual massive Thirring theory are studied. Our method relies on the NC extension of integrable models and the master lagrangian approach to deal with dual theories. The master lagrangian turns out to be the NC version of the so-called affine Toda model coupled to matter related to the group GL(n), in which the Toda field $g \subset GL(n), (n=2, 3)$. Moreover, as a reduction of GL(3) NCGSG one gets a NC version of the remarkable double sine-Gordon model.
| 10.876797
| 8.729218
| 11.533959
| 9.319566
| 9.089559
| 8.827957
| 8.341074
| 8.551359
| 8.573132
| 12.53872
| 8.953303
| 9.606961
| 10.066936
| 9.572145
| 9.990433
| 9.587516
| 9.584309
| 9.887652
| 9.554694
| 10.38882
| 9.648682
|
1905.02221
|
Luca Ciambelli
|
Luca Ciambelli, Robert G. Leigh, Charles Marteau and P. Marios
Petropoulos
|
Carroll Structures, Null Geometry and Conformal Isometries
|
v1: 15 pages, Latex
|
Phys. Rev. D 100, 046010 (2019)
|
10.1103/PhysRevD.100.046010
|
CPHT-RR025.052019
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the concept of Carrollian spacetime starting from its underlying
fiber-bundle structure. The latter admits an Ehresmann connection, which
enables a natural separation of time and space, preserved by the subset of
Carrollian diffeomorphisms. These allow for the definition of Carrollian
tensors and the structure at hand provides the designated tools for describing
the geometry of null hypersurfaces embedded in Lorentzian manifolds. Using
these tools, we investigate the conformal isometries of general Carrollian
spacetimes and their relationship with the BMS group.
|
[
{
"created": "Mon, 6 May 2019 18:03:30 GMT",
"version": "v1"
}
] |
2019-08-21
|
[
[
"Ciambelli",
"Luca",
""
],
[
"Leigh",
"Robert G.",
""
],
[
"Marteau",
"Charles",
""
],
[
"Petropoulos",
"P. Marios",
""
]
] |
We study the concept of Carrollian spacetime starting from its underlying fiber-bundle structure. The latter admits an Ehresmann connection, which enables a natural separation of time and space, preserved by the subset of Carrollian diffeomorphisms. These allow for the definition of Carrollian tensors and the structure at hand provides the designated tools for describing the geometry of null hypersurfaces embedded in Lorentzian manifolds. Using these tools, we investigate the conformal isometries of general Carrollian spacetimes and their relationship with the BMS group.
| 9.948012
| 10.642912
| 10.285224
| 9.961232
| 10.73948
| 10.097495
| 10.771108
| 9.486971
| 10.534381
| 11.933045
| 10.016283
| 10.147665
| 10.245461
| 9.84434
| 9.880236
| 10.181046
| 10.179194
| 9.842451
| 10.138927
| 9.975183
| 10.259829
|
2201.04491
|
Cristoforo Iossa
|
Giulio Bonelli, Cristoforo Iossa, Daniel Panea Lichtig, Alessandro
Tanzini
|
Irregular Liouville correlators and connection formulae for Heun
functions
|
61 pages, many diagrams, 2 figures, huge list of symbols, comments
welcome
| null |
10.1007/s00220-022-04497-5
| null |
hep-th gr-qc math-ph math.CA math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We perform a detailed study of a class of irregular correlators in Liouville
Conformal Field Theory, of the related Virasoro conformal blocks with irregular
singularities and of their connection formulae. Upon considering their
semi-classical limit, we provide explicit expressions of the connection
matrices for the Heun function and a class of its confluences. Their
calculation is reduced to concrete combinatorial formulae from conformal block
expansions.
|
[
{
"created": "Wed, 12 Jan 2022 14:33:27 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Jan 2022 14:57:30 GMT",
"version": "v2"
},
{
"created": "Sat, 27 Aug 2022 14:04:37 GMT",
"version": "v3"
}
] |
2022-11-30
|
[
[
"Bonelli",
"Giulio",
""
],
[
"Iossa",
"Cristoforo",
""
],
[
"Lichtig",
"Daniel Panea",
""
],
[
"Tanzini",
"Alessandro",
""
]
] |
We perform a detailed study of a class of irregular correlators in Liouville Conformal Field Theory, of the related Virasoro conformal blocks with irregular singularities and of their connection formulae. Upon considering their semi-classical limit, we provide explicit expressions of the connection matrices for the Heun function and a class of its confluences. Their calculation is reduced to concrete combinatorial formulae from conformal block expansions.
| 14.355701
| 14.142827
| 17.459208
| 12.998893
| 12.786622
| 12.384583
| 13.134274
| 11.774818
| 12.89636
| 18.962713
| 12.432038
| 11.985207
| 15.028334
| 12.860019
| 13.168875
| 12.296535
| 12.903102
| 12.478414
| 13.016592
| 13.750916
| 11.885398
|
hep-th/9804014
|
Toshiya Kawai
|
Toshiya Kawai
|
String Duality and Enumeration of Curves by Jacobi Forms
|
35 pages, submitted to the Proceedings of the Taniguchi Symposium
1997 on "Integrable Systems and Algebraic Geometry", Kobe/Kyoto
| null | null | null |
hep-th
| null |
For a Calabi-Yau threefold admitting both a $K3$ fibration and an elliptic
fibration (with some extra conditions) we discuss candidate asymptotic
expressions of the genus 0 and 1 Gromov-Witten potentials in the limit
(possibly corresponding to the perturbative regime of a heterotic string) where
the area of the base of the $K3$ fibration is very large. The expressions are
constructed by lifting procedures using nearly holomorphic Weyl-invariant
Jacobi forms. The method we use is similar to the one introduced by Borcherds
for the constructions of automorphic forms on type IV domains as infinite
products and employs in an essential way the elliptic polylogarithms of
Beilinson and Levin. In particular, if we take a further limit where the base
of the elliptic fibration decompactifies, the Gromov-Witten potentials are
expressed simply by these elliptic polylogarithms. The theta correspondence
considered by Harvey and Moore which they used to extract the expression for
the perturbative prepotential is closely related to the Eisenstein-Kronecker
double series and hence the real versions of elliptic polylogarithms introduced
by Zagier.
|
[
{
"created": "Thu, 2 Apr 1998 10:54:44 GMT",
"version": "v1"
},
{
"created": "Tue, 19 May 1998 19:10:30 GMT",
"version": "v2"
},
{
"created": "Tue, 14 Jul 1998 10:55:58 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Kawai",
"Toshiya",
""
]
] |
For a Calabi-Yau threefold admitting both a $K3$ fibration and an elliptic fibration (with some extra conditions) we discuss candidate asymptotic expressions of the genus 0 and 1 Gromov-Witten potentials in the limit (possibly corresponding to the perturbative regime of a heterotic string) where the area of the base of the $K3$ fibration is very large. The expressions are constructed by lifting procedures using nearly holomorphic Weyl-invariant Jacobi forms. The method we use is similar to the one introduced by Borcherds for the constructions of automorphic forms on type IV domains as infinite products and employs in an essential way the elliptic polylogarithms of Beilinson and Levin. In particular, if we take a further limit where the base of the elliptic fibration decompactifies, the Gromov-Witten potentials are expressed simply by these elliptic polylogarithms. The theta correspondence considered by Harvey and Moore which they used to extract the expression for the perturbative prepotential is closely related to the Eisenstein-Kronecker double series and hence the real versions of elliptic polylogarithms introduced by Zagier.
| 8.911428
| 10.463613
| 11.281206
| 8.894605
| 9.504114
| 9.985246
| 9.954805
| 9.391323
| 8.989618
| 12.128288
| 8.954488
| 8.549782
| 8.941681
| 8.534483
| 8.376282
| 8.675831
| 8.534971
| 8.418987
| 8.412579
| 8.594976
| 8.483429
|
hep-th/9603054
|
Oswaldo Monteiro del Cima
|
M.A. De Andrade (1), O.M. Del Cima (1 and 2) and J.A. Helay\"el-Neto
(2) ((1) PUC-RIO-Brazil, (2) CBPF-Brazil)
|
Electron-pair condensation in parity-preserving QED3
|
16 pages, Latex, revised version, appendix and references added
|
Nuovo Cim. A111 (1998) 1145-1162
| null | null |
hep-th
| null |
In this paper, we present a parity-preserving QED3 with spontaneous breaking
of a local U(1)-symmetry. The breaking is accomplished by a potential of the
\vf^6-type. It is shown that a net attractive interaction appears in the
M{\o}ller scattering (s and p-wave scattering between two electrons) as
mediated by the gauge field and a Higgs scalar. This might favour a
pair-condensation mechanism.
|
[
{
"created": "Fri, 8 Mar 1996 23:57:11 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Jun 1997 22:28:23 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"De Andrade",
"M. A.",
"",
"PUC-RIO-Brazil"
],
[
"Del Cima",
"O. M.",
"",
"1 and 2"
],
[
"Helayël-Neto",
"J. A.",
"",
"CBPF-Brazil"
]
] |
In this paper, we present a parity-preserving QED3 with spontaneous breaking of a local U(1)-symmetry. The breaking is accomplished by a potential of the \vf^6-type. It is shown that a net attractive interaction appears in the M{\o}ller scattering (s and p-wave scattering between two electrons) as mediated by the gauge field and a Higgs scalar. This might favour a pair-condensation mechanism.
| 20.836533
| 12.528127
| 19.226711
| 14.256674
| 16.671349
| 17.123972
| 15.987771
| 13.444882
| 13.556267
| 20.526756
| 16.533058
| 15.893822
| 17.5905
| 16.224943
| 18.110126
| 16.380651
| 17.116388
| 16.449631
| 16.293524
| 17.613508
| 18.086843
|
2011.09667
|
Dan Radu Grigore
|
D. R. Grigore
|
Anti-BRST in the Causal Approach
|
13 pages. arXiv admin note: substantial text overlap with
arXiv:1301.3664, arXiv:1301.2893, arXiv:1403.4472, arXiv:0711.3986
| null | null | null |
hep-th math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
It is known that the elimination of the anomalies in all orders of
perturbation theory is an open problem. The constrains given by usual
invariance properties and the Wess-Zumino identities are not enough to
eliminate the anomalies in the general case of an Yang-Mills theory. So, any
new symmetry of the model could restrict further the anomalies and be a
solution of the problem.
We consider the anti-BRST transform of Ojima in the causal approach and
investigate if such new restrictions are obtained. Unfortunately, the result is
negative: if we have BRST invariance up to the second order of the perturbation
theory, we also have anti-BRST invariance up to the same order. Probably, this
result is true in all orders of the perturbation theory.
So, anti-BRST transform gives nothing new, and we have to find other ideas to
restrict and eventually eliminate the anomalies for a general Yang-Mills
theory.
|
[
{
"created": "Wed, 18 Nov 2020 08:49:13 GMT",
"version": "v1"
}
] |
2020-11-20
|
[
[
"Grigore",
"D. R.",
""
]
] |
It is known that the elimination of the anomalies in all orders of perturbation theory is an open problem. The constrains given by usual invariance properties and the Wess-Zumino identities are not enough to eliminate the anomalies in the general case of an Yang-Mills theory. So, any new symmetry of the model could restrict further the anomalies and be a solution of the problem. We consider the anti-BRST transform of Ojima in the causal approach and investigate if such new restrictions are obtained. Unfortunately, the result is negative: if we have BRST invariance up to the second order of the perturbation theory, we also have anti-BRST invariance up to the same order. Probably, this result is true in all orders of the perturbation theory. So, anti-BRST transform gives nothing new, and we have to find other ideas to restrict and eventually eliminate the anomalies for a general Yang-Mills theory.
| 9.069411
| 8.533302
| 9.163798
| 8.432483
| 9.275617
| 8.318097
| 9.040211
| 8.525366
| 8.403792
| 9.858801
| 8.446961
| 8.668681
| 8.558513
| 8.395253
| 8.683819
| 8.693211
| 8.619435
| 8.447346
| 8.301977
| 8.64712
| 8.520188
|
hep-th/9804175
|
Miao Li
|
Miao Li
|
't Hooft vortices and phases of large N gauge theory
|
10 pages, 1 figure, harvmac
|
JHEP 9808:014,1998
|
10.1088/1126-6708/1998/08/014
|
EFI-98-14
|
hep-th
| null |
It is shown that a pair of vortex and anti-vortex is completely screened in
2+1 dimensional Yang-Mills theory and 3+1 dimensional Yang-Mills theory in the
strong coupling limit, based on the recent conjecture of Maldacena. This is
consistent with the fact that these theories exhibit confinement.
|
[
{
"created": "Mon, 27 Apr 1998 21:21:09 GMT",
"version": "v1"
}
] |
2010-02-03
|
[
[
"Li",
"Miao",
""
]
] |
It is shown that a pair of vortex and anti-vortex is completely screened in 2+1 dimensional Yang-Mills theory and 3+1 dimensional Yang-Mills theory in the strong coupling limit, based on the recent conjecture of Maldacena. This is consistent with the fact that these theories exhibit confinement.
| 7.466473
| 5.874734
| 7.107985
| 5.817611
| 5.722167
| 6.091054
| 5.947386
| 6.374812
| 5.49576
| 7.5968
| 5.883017
| 6.00144
| 6.896841
| 6.36638
| 6.116419
| 6.122872
| 5.96125
| 6.292599
| 6.319871
| 6.985799
| 6.298202
|
1705.08679
|
Erik Widen
|
Erik Widen
|
Two-point functions of SU(2)-subsector and length-two operators in dCFT
|
5 pages
| null |
10.1016/j.physletb.2017.08.059
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a particular set of two-point functions in the setting of N = 4
SYM with a defect, dual to the fuzzy-funnel solution for the probe D5-D3-brane
system. The two-point functions in focus involve a single trace operator in the
SU(2)-subsector of arbitrary length and a length-two operator built out of any
scalars. By interpreting the contractions as a spin-chain operator, simple
expressions were found for the leading contribution to the two-point functions,
mapping them to earlier known formulas for the one-point functions in this
setting.
|
[
{
"created": "Wed, 24 May 2017 10:08:26 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Jun 2017 13:54:05 GMT",
"version": "v2"
}
] |
2017-10-11
|
[
[
"Widen",
"Erik",
""
]
] |
We consider a particular set of two-point functions in the setting of N = 4 SYM with a defect, dual to the fuzzy-funnel solution for the probe D5-D3-brane system. The two-point functions in focus involve a single trace operator in the SU(2)-subsector of arbitrary length and a length-two operator built out of any scalars. By interpreting the contractions as a spin-chain operator, simple expressions were found for the leading contribution to the two-point functions, mapping them to earlier known formulas for the one-point functions in this setting.
| 13.190981
| 12.987707
| 16.886433
| 12.670471
| 12.957952
| 14.081849
| 12.622474
| 13.758934
| 13.022058
| 20.001614
| 13.484458
| 14.189112
| 15.617597
| 14.127817
| 14.069433
| 14.627258
| 15.026417
| 14.154054
| 13.687735
| 15.854313
| 14.330304
|
1702.07874
|
Soumangsu Chakraborty Mr
|
Soumangsu Chakraborty, Rickmoy Samanta
|
Viscosity for Anisotropic Reissner Nordstr\"om Blackbranes
|
References added, minor changes, appendix added
|
Phys. Rev. D 95, 106012 (2017)
|
10.1103/PhysRevD.95.106012
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the behavior of shear viscosity in the presence of small
anisotropy and a finite chemical potential. First, we construct an anisotropic
Reissner Nordstr{\"o}m blackbrane in 5 dimensions in a simple Einstein-Maxwell
theory with a small linear dilaton. This solution is characterized by three
mass scales : anisotropy $\rho$, temperature T and chemical potential $\mu$. We
find this solution upto second order in the dilaton anisotropy parameter
$\rho$. This blackbrane solution corresponds to an anisotropic phase where the
anisotropy is small compared to the temperature and chemical potential. We find
that in this anisotropic phase, some components of the anisotropic shear
viscosity tensor, which are spin one with respect to the residual symmetry
after breaking rotational invariance, violates the KSS bound (${\eta \over
s}\ge {1 \over 4 \pi} $) proposed by Kovtun, Son and Starinets. We identify the
regions of the parameter space where these violations are significant. We carry
out a similar analysis in 4 dimensions and find similar violation of the KSS
bound for the spin one components to demonstrate the generality of the result.
Our results are particularly relevant in the context of strongly coupled
systems found in nature. We also provide an intuitive understanding of the
results using dimensional reduction and a Boltzmann calculation in a weakly
coupled version of a similar system. The Boltzmann analysis performed in a
system of weakly interacting particles in a linear potential also shows that
components of the viscosity tensor may be reduced. It is intriguing that the
Boltzmann analysis also predicts the corrections to be negative and that too in
a manner similar to the anisotropic strongly coupled theories with smooth
gravity duals.
|
[
{
"created": "Sat, 25 Feb 2017 10:41:31 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Mar 2017 14:06:54 GMT",
"version": "v2"
},
{
"created": "Mon, 6 Mar 2017 17:38:41 GMT",
"version": "v3"
},
{
"created": "Sun, 16 Apr 2017 18:35:21 GMT",
"version": "v4"
}
] |
2017-06-07
|
[
[
"Chakraborty",
"Soumangsu",
""
],
[
"Samanta",
"Rickmoy",
""
]
] |
We investigate the behavior of shear viscosity in the presence of small anisotropy and a finite chemical potential. First, we construct an anisotropic Reissner Nordstr{\"o}m blackbrane in 5 dimensions in a simple Einstein-Maxwell theory with a small linear dilaton. This solution is characterized by three mass scales : anisotropy $\rho$, temperature T and chemical potential $\mu$. We find this solution upto second order in the dilaton anisotropy parameter $\rho$. This blackbrane solution corresponds to an anisotropic phase where the anisotropy is small compared to the temperature and chemical potential. We find that in this anisotropic phase, some components of the anisotropic shear viscosity tensor, which are spin one with respect to the residual symmetry after breaking rotational invariance, violates the KSS bound (${\eta \over s}\ge {1 \over 4 \pi} $) proposed by Kovtun, Son and Starinets. We identify the regions of the parameter space where these violations are significant. We carry out a similar analysis in 4 dimensions and find similar violation of the KSS bound for the spin one components to demonstrate the generality of the result. Our results are particularly relevant in the context of strongly coupled systems found in nature. We also provide an intuitive understanding of the results using dimensional reduction and a Boltzmann calculation in a weakly coupled version of a similar system. The Boltzmann analysis performed in a system of weakly interacting particles in a linear potential also shows that components of the viscosity tensor may be reduced. It is intriguing that the Boltzmann analysis also predicts the corrections to be negative and that too in a manner similar to the anisotropic strongly coupled theories with smooth gravity duals.
| 7.469047
| 8.002348
| 7.839774
| 7.499963
| 8.024299
| 8.01239
| 8.079119
| 7.726803
| 7.534417
| 8.747545
| 7.415069
| 7.483286
| 7.485773
| 7.298522
| 7.449018
| 7.43267
| 7.460039
| 7.443461
| 7.379718
| 7.613055
| 7.411045
|
0812.3615
|
Nicolas Boulanger
|
Nicolas Boulanger, Carlo Iazeolla and Per Sundell
|
Unfolding Mixed-Symmetry Fields in AdS and the BMV Conjecture: I.
General Formalism
|
Corrected typos, references added, two figures, some remarks and two
subsections added for clarity
|
JHEP 0907:013,2009
|
10.1088/1126-6708/2009/07/013
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present some generalities of unfolded on-shell dynamics that are useful in
analysing the BMV conjecture for mixed-symmetry fields in constantly curved
backgrounds. In particular we classify the Lorentz-covariant Harish-Chandra
modules generated from primary Weyl tensors of arbitrary mass and shape, and in
backgrounds with general values of the cosmological constant. We also discuss
the unfolded notion of local degrees of freedom in theories with and without
gravity and with and without massive deformation parameters, using the language
of Weyl zero-form modules and their duals.
|
[
{
"created": "Thu, 18 Dec 2008 18:33:20 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Apr 2009 19:51:13 GMT",
"version": "v2"
}
] |
2009-07-22
|
[
[
"Boulanger",
"Nicolas",
""
],
[
"Iazeolla",
"Carlo",
""
],
[
"Sundell",
"Per",
""
]
] |
We present some generalities of unfolded on-shell dynamics that are useful in analysing the BMV conjecture for mixed-symmetry fields in constantly curved backgrounds. In particular we classify the Lorentz-covariant Harish-Chandra modules generated from primary Weyl tensors of arbitrary mass and shape, and in backgrounds with general values of the cosmological constant. We also discuss the unfolded notion of local degrees of freedom in theories with and without gravity and with and without massive deformation parameters, using the language of Weyl zero-form modules and their duals.
| 16.945297
| 17.299318
| 22.982035
| 17.309582
| 18.028334
| 18.632036
| 20.256395
| 18.128811
| 17.916134
| 20.028193
| 16.511868
| 15.892521
| 19.111904
| 15.855522
| 15.867552
| 15.955138
| 16.684933
| 16.382261
| 16.295916
| 19.395668
| 15.979261
|
hep-th/0006204
|
Peter Mayr
|
P. Mayr
|
Stringy World Branes and Exponential Hierarchies
|
18 pages, harvmac; references added
|
JHEP 0011:013,2000
|
10.1088/1126-6708/2000/11/013
|
CERN-TH/2000-176
|
hep-th
| null |
We describe heterotic string and M-theory realizations of the Randall-Sundrum
(RS) scenario with $\cx N=2$ and $\cx N=1$ supersymmetry in the bulk.
Supersymmetry can be broken only on the world brane, a scenario that has been
proposed to account for the smallness of the cosmological constant. An
interesting prediction from string duality is the generation of a warp factor
for conventional type II Calabi--Yau 3-fold compactifications. On the other
hand we argue that an assumption that is needed in the RS explanation of the
hierarchy is hard to satisfy in the string theory context.
|
[
{
"created": "Mon, 26 Jun 2000 20:53:04 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Dec 2000 17:38:59 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Mayr",
"P.",
""
]
] |
We describe heterotic string and M-theory realizations of the Randall-Sundrum (RS) scenario with $\cx N=2$ and $\cx N=1$ supersymmetry in the bulk. Supersymmetry can be broken only on the world brane, a scenario that has been proposed to account for the smallness of the cosmological constant. An interesting prediction from string duality is the generation of a warp factor for conventional type II Calabi--Yau 3-fold compactifications. On the other hand we argue that an assumption that is needed in the RS explanation of the hierarchy is hard to satisfy in the string theory context.
| 9.986974
| 9.513534
| 9.467363
| 8.721901
| 9.74428
| 9.545751
| 8.951015
| 9.174539
| 8.588581
| 10.075906
| 9.181447
| 9.041041
| 9.605813
| 9.203725
| 9.231636
| 9.241401
| 9.345755
| 8.945705
| 9.001584
| 9.082834
| 8.998589
|
hep-th/9406207
|
Michio Ikehara
|
M. Ikehara, N. Ishibashi, H. kawai, T. Mogami, R. Nakayama and N.
Sasakura
|
String Field Theory in the Temporal Gauge
|
24 pages+8 figures, KEK-TH-402, EPHOU-94-003
|
Phys.Rev. D50 (1994) 7467-7478
|
10.1103/PhysRevD.50.7467
| null |
hep-th
| null |
We construct the string field Hamiltonian for $c=1-\frac{6}{m(m+1)}$ string
theory in the temporal gauge. In order to do so, we first examine the
Schwinger-Dyson equations of the matrix chain models and propose the continuum
version of them. Results of boundary conformal field theory are useful in
making a connection between the discrete and continuum pictures. The $W$
constraints are derived from the continuum Schwinger-Dyson equations. We also
check that these equations are consistent with other known results about
noncritical string theory. The string field Hamiltonian is easily obtained from
the continuum Schwinger-Dyson equations. It looks similar to Kaku-Kikkawa's
Hamiltonian and may readily be generalized to $c>1$ cases.
|
[
{
"created": "Thu, 30 Jun 1994 14:17:28 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Jun 1994 17:37:51 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Ikehara",
"M.",
""
],
[
"Ishibashi",
"N.",
""
],
[
"kawai",
"H.",
""
],
[
"Mogami",
"T.",
""
],
[
"Nakayama",
"R.",
""
],
[
"Sasakura",
"N.",
""
]
] |
We construct the string field Hamiltonian for $c=1-\frac{6}{m(m+1)}$ string theory in the temporal gauge. In order to do so, we first examine the Schwinger-Dyson equations of the matrix chain models and propose the continuum version of them. Results of boundary conformal field theory are useful in making a connection between the discrete and continuum pictures. The $W$ constraints are derived from the continuum Schwinger-Dyson equations. We also check that these equations are consistent with other known results about noncritical string theory. The string field Hamiltonian is easily obtained from the continuum Schwinger-Dyson equations. It looks similar to Kaku-Kikkawa's Hamiltonian and may readily be generalized to $c>1$ cases.
| 7.463997
| 6.857546
| 9.02548
| 7.104326
| 7.37075
| 7.184248
| 7.016986
| 7.331591
| 7.302043
| 9.159096
| 6.789181
| 7.018105
| 7.843503
| 7.200342
| 7.316495
| 7.186999
| 7.308774
| 7.10954
| 7.243119
| 7.925784
| 7.024437
|
hep-th/9407024
| null |
E. V. Damaskinsky and M. A. Sokolov
|
Some remarks on the Gauss decomposition for quantum group GL_q(n)
|
11 pages
|
J.Phys. A28 (1995) 3725-3732
|
10.1088/0305-4470/28/13/017
| null |
hep-th math.QA
| null |
In this letter some properties of the Gauss decomposition of quantum group
$GL_q(n)$ with application to q-bosonization are considered.
|
[
{
"created": "Tue, 5 Jul 1994 10:46:39 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Damaskinsky",
"E. V.",
""
],
[
"Sokolov",
"M. A.",
""
]
] |
In this letter some properties of the Gauss decomposition of quantum group $GL_q(n)$ with application to q-bosonization are considered.
| 23.756287
| 12.398376
| 19.386972
| 12.960424
| 11.482396
| 12.665214
| 13.579228
| 12.607572
| 11.676469
| 19.936747
| 10.834384
| 12.818233
| 17.696144
| 14.381311
| 14.363377
| 13.17488
| 11.707391
| 13.202696
| 13.664848
| 17.617998
| 12.375567
|
hep-th/0010218
|
Oleg Andreev
|
Oleg Andreev
|
Some Computations of Partition Functions and Tachyon Potentials in
Background Independent Off-Shell String Theory
|
LaTeX2e, 15 pages, corrected some typos
|
Nucl.Phys. B598 (2001) 151-168
|
10.1016/S0550-3213(00)00755-0
|
HU Berlin-EP-00/43
|
hep-th
| null |
We discuss what information can be safely extracted from background
independent off-shell string theory. The major obstacle in doing so is that
renormalization conditions of the underlying world-sheet theories are not
exactly known. To get some insight, we first consider the tachyon and gauge
field backgrounds and carry out computations in different renormalization
schemes for both, bosonic string and superstring. Next, we use a principle of
universality (renormalization scheme independence) to somehow compensate the
missing of the renormalization conditions and get information we are looking
for. It turns out that some asymptotics which are responsible for the
potentials only obey the principle of universality.
|
[
{
"created": "Tue, 24 Oct 2000 17:02:24 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Oct 2000 15:09:38 GMT",
"version": "v2"
},
{
"created": "Sat, 28 Oct 2000 14:07:59 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Andreev",
"Oleg",
""
]
] |
We discuss what information can be safely extracted from background independent off-shell string theory. The major obstacle in doing so is that renormalization conditions of the underlying world-sheet theories are not exactly known. To get some insight, we first consider the tachyon and gauge field backgrounds and carry out computations in different renormalization schemes for both, bosonic string and superstring. Next, we use a principle of universality (renormalization scheme independence) to somehow compensate the missing of the renormalization conditions and get information we are looking for. It turns out that some asymptotics which are responsible for the potentials only obey the principle of universality.
| 16.184021
| 15.389894
| 17.640032
| 15.237881
| 17.257866
| 16.084843
| 15.905966
| 15.49773
| 15.138783
| 17.261404
| 15.886429
| 14.315046
| 14.916286
| 14.742836
| 15.162573
| 14.944717
| 14.5967
| 14.599157
| 14.934257
| 15.815072
| 14.81058
|
hep-th/9605213
|
Juan Carlos Perez Bueno
|
J. A. de Azcarraga and J. C. Perez Bueno
|
Higher-order simple Lie algebras
|
20 pages. Plain latex file. Minor changes. To appear in Commun. Math.
Phys
|
Commun.Math.Phys. 184 (1997) 669-681
|
10.1007/s002200050079
| null |
hep-th dg-ga math.DG math.QA q-alg
| null |
It is shown that the non-trivial cocycles on simple Lie algebras may be used
to introduce antisymmetric multibrackets which lead to higher-order Lie
algebras, the definition of which is given. Their generalised Jacobi identities
turn out to be satisfied by the antisymmetric tensors (or higher-order
`structure constants') which characterise the Lie algebra cocycles. This
analysis allows us to present a classification of the higher-order simple Lie
algebras as well as a constructive procedure for them. Our results are
synthesised by the introduction of a single, complete BRST operator associated
with each simple algebra.
|
[
{
"created": "Thu, 30 May 1996 08:22:33 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Oct 1996 11:29:37 GMT",
"version": "v2"
},
{
"created": "Wed, 9 Apr 1997 17:31:10 GMT",
"version": "v3"
}
] |
2009-10-30
|
[
[
"de Azcarraga",
"J. A.",
""
],
[
"Bueno",
"J. C. Perez",
""
]
] |
It is shown that the non-trivial cocycles on simple Lie algebras may be used to introduce antisymmetric multibrackets which lead to higher-order Lie algebras, the definition of which is given. Their generalised Jacobi identities turn out to be satisfied by the antisymmetric tensors (or higher-order `structure constants') which characterise the Lie algebra cocycles. This analysis allows us to present a classification of the higher-order simple Lie algebras as well as a constructive procedure for them. Our results are synthesised by the introduction of a single, complete BRST operator associated with each simple algebra.
| 12.009257
| 10.474008
| 12.525556
| 10.684127
| 11.210323
| 10.909468
| 11.122705
| 11.746263
| 10.408879
| 12.538062
| 10.804212
| 11.159352
| 12.094224
| 11.048727
| 10.403195
| 10.75679
| 10.629358
| 11.113639
| 10.997101
| 11.315702
| 10.883618
|
0810.0816
|
Frank Ferrari
|
Frank Ferrari
|
On the Geometry of Super Yang-Mills Theories: Phases and Irreducible
Polynomials
|
87 pages; v2: typos and eq. (4.44) corrected
| null |
10.1088/1126-6708/2009/01/026
|
LPTENS-08/24
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the algebraic and geometric structures that underly the space of
vacua of N=1 super Yang-Mills theories at the non-perturbative level. Chiral
operators are shown to satisfy polynomial equations over appropriate rings, and
the phase structure of the theory can be elegantly described by the
factorization of these polynomials into irreducible pieces. In particular, this
idea yields a powerful method to analyse the possible smooth interpolations
between different classical limits in the gauge theory. As an application in
U(Nc) theories, we provide a simple and completely general proof of the fact
that confining and Higgs vacua are in the same phase when fundamental flavors
are present, by finding an irreducible polynomial equation satisfied by the
glueball operator. We also derive the full phase diagram for the theory with
one adjoint when Nc is less than or equal to 7 using computational algebraic
geometry programs.
|
[
{
"created": "Sun, 5 Oct 2008 11:06:02 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Jan 2009 11:08:58 GMT",
"version": "v2"
}
] |
2009-11-13
|
[
[
"Ferrari",
"Frank",
""
]
] |
We study the algebraic and geometric structures that underly the space of vacua of N=1 super Yang-Mills theories at the non-perturbative level. Chiral operators are shown to satisfy polynomial equations over appropriate rings, and the phase structure of the theory can be elegantly described by the factorization of these polynomials into irreducible pieces. In particular, this idea yields a powerful method to analyse the possible smooth interpolations between different classical limits in the gauge theory. As an application in U(Nc) theories, we provide a simple and completely general proof of the fact that confining and Higgs vacua are in the same phase when fundamental flavors are present, by finding an irreducible polynomial equation satisfied by the glueball operator. We also derive the full phase diagram for the theory with one adjoint when Nc is less than or equal to 7 using computational algebraic geometry programs.
| 10.315637
| 9.869634
| 10.236722
| 9.084886
| 9.449303
| 9.224238
| 9.321507
| 9.182677
| 9.231668
| 10.896642
| 8.790168
| 9.578834
| 10.178194
| 9.67679
| 9.540226
| 9.707654
| 9.685619
| 9.837274
| 9.462877
| 10.263981
| 9.596611
|
hep-th/9305007
|
Fred Goldhaber
|
Alfred S.Goldhaber, Hsiang-Nan Li, and Rajesh R. Parwani
|
Scaling of Aharonov-Bohm couplings and the dynamical vacuum in gauge
theories
|
11 pages, ITP-SB-92-40, (major conceptual evolution from original)
|
Phys.Rev. D51 (1995) 919-923
|
10.1103/PhysRevD.51.919
| null |
hep-th hep-ph
| null |
Recent results on the vacuum polarization induced by a thin string of
magnetic flux lead us to suggest an analogue of the Copenhagen `flux spaghetti'
QCD vacuum as a possible mechanism for avoiding the divergence of perturbative
QED, thus permitting consistent completion of the full, nonperturbative theory.
The mechanism appears to operate for spinor, but not scalar, QED.
|
[
{
"created": "Mon, 3 May 1993 20:57:15 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Mar 1994 21:15:46 GMT",
"version": "v2"
}
] |
2009-10-22
|
[
[
"Goldhaber",
"Alfred S.",
""
],
[
"Li",
"Hsiang-Nan",
""
],
[
"Parwani",
"Rajesh R.",
""
]
] |
Recent results on the vacuum polarization induced by a thin string of magnetic flux lead us to suggest an analogue of the Copenhagen `flux spaghetti' QCD vacuum as a possible mechanism for avoiding the divergence of perturbative QED, thus permitting consistent completion of the full, nonperturbative theory. The mechanism appears to operate for spinor, but not scalar, QED.
| 23.376684
| 20.265545
| 22.215229
| 22.879082
| 21.66992
| 24.625109
| 26.601948
| 20.36182
| 20.630133
| 27.385496
| 20.551546
| 20.52112
| 21.200123
| 20.014446
| 21.414333
| 20.695955
| 20.229431
| 19.541162
| 20.411476
| 20.507984
| 20.561211
|
hep-th/0110256
|
Tsou Sheung Tsun
|
ST Tsou (Oxford)
|
Electric-Magnetic Duality and the Dualized Standard Model
|
40 pages, Latex; lectures given at the 10th Oporto Meeting on
Geometry, Topology and Physics, 20--24 September, 2001, Oporto, Portugal
|
Int.J.Mod.Phys. A18S2 (2003) 1-40
| null | null |
hep-th hep-ph
| null |
In these lectures I shall explain how a new-found nonabelian duality can be
used to solve some outstanding questions in particle physics. The first lecture
introduces the concept of electromagnetic duality and goes on to present its
nonabelian generalization in terms of loop space variables. The second lecture
discusses certain puzzles that remain with the Standard Model of particle
physics, particularly aimed at nonexperts. The third lecture presents a
solution to these problems in the form of the Dualized Standard Model, first
proposed by Chan and the author, using nonabelian dual symmetry. The
fundamental particles exist in three generations, and if this is a
manifestation of dual colour symmetry, which by 't Hooft's theorem is
necessarily broken, then we have a natural explanation of the generation
puzzle, together with tested and testable consequences not only in particle
physics, but also in astrophysics, nuclear and atomic physics.
Reported is mainly work done in collaboration with Chan Hong-Mo, and also
various parts with Peter Scharbach, Jacqueline Faridani, Jos\'e Bordes, Jakov
Pfaudler, Ricardo Gallego severally.
|
[
{
"created": "Mon, 29 Oct 2001 11:09:49 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Tsou",
"ST",
"",
"Oxford"
]
] |
In these lectures I shall explain how a new-found nonabelian duality can be used to solve some outstanding questions in particle physics. The first lecture introduces the concept of electromagnetic duality and goes on to present its nonabelian generalization in terms of loop space variables. The second lecture discusses certain puzzles that remain with the Standard Model of particle physics, particularly aimed at nonexperts. The third lecture presents a solution to these problems in the form of the Dualized Standard Model, first proposed by Chan and the author, using nonabelian dual symmetry. The fundamental particles exist in three generations, and if this is a manifestation of dual colour symmetry, which by 't Hooft's theorem is necessarily broken, then we have a natural explanation of the generation puzzle, together with tested and testable consequences not only in particle physics, but also in astrophysics, nuclear and atomic physics. Reported is mainly work done in collaboration with Chan Hong-Mo, and also various parts with Peter Scharbach, Jacqueline Faridani, Jos\'e Bordes, Jakov Pfaudler, Ricardo Gallego severally.
| 13.298725
| 15.873272
| 14.769613
| 13.556904
| 15.02415
| 16.299387
| 15.75893
| 16.298834
| 13.024488
| 16.027458
| 14.686469
| 13.767233
| 13.757182
| 13.46382
| 13.262709
| 14.110579
| 13.722256
| 14.631099
| 13.429674
| 13.877585
| 13.756208
|
1101.3216
|
Edward Witten
|
Edward Witten
|
Fivebranes and Knots
|
numerous small corrections from v. 1; 148 pp
| null | null | null |
hep-th math.GT math.RT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We develop an approach to Khovanov homology of knots via gauge theory
(previous physics-based approches involved other descriptions of the relevant
spaces of BPS states). The starting point is a system of D3-branes ending on an
NS5-brane with a nonzero theta-angle. On the one hand, this system can be
related to a Chern-Simons gauge theory on the boundary of the D3-brane
worldvolume; on the other hand, it can be studied by standard techniques of
$S$-duality and $T$-duality. Combining the two approaches leads to a new and
manifestly invariant description of the Jones polynomial of knots, and its
generalizations, and to a manifestly invariant description of Khovanov
homology, in terms of certain elliptic partial differential equations in four
and five dimensions.
|
[
{
"created": "Mon, 17 Jan 2011 14:02:48 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Aug 2011 17:56:13 GMT",
"version": "v2"
}
] |
2011-08-12
|
[
[
"Witten",
"Edward",
""
]
] |
We develop an approach to Khovanov homology of knots via gauge theory (previous physics-based approches involved other descriptions of the relevant spaces of BPS states). The starting point is a system of D3-branes ending on an NS5-brane with a nonzero theta-angle. On the one hand, this system can be related to a Chern-Simons gauge theory on the boundary of the D3-brane worldvolume; on the other hand, it can be studied by standard techniques of $S$-duality and $T$-duality. Combining the two approaches leads to a new and manifestly invariant description of the Jones polynomial of knots, and its generalizations, and to a manifestly invariant description of Khovanov homology, in terms of certain elliptic partial differential equations in four and five dimensions.
| 6.761912
| 7.058315
| 7.448634
| 6.538607
| 7.132385
| 6.814234
| 7.247163
| 6.816744
| 6.521485
| 7.308774
| 6.867394
| 6.436985
| 6.932821
| 6.415617
| 6.566354
| 6.662955
| 6.564532
| 6.332325
| 6.469615
| 6.910165
| 6.348624
|
1107.2767
|
Igor Bandos A.
|
Igor A. Bandos
|
On superembedding approach and its possible application in search for
SO(32) heterotic five-brane equations
|
9 pages, LaTeX, w-art style
|
Fortschr. Phys. 59, No. 7 - 8, 637 - 645 (2011)
|
10.1002/prop.201100020
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We elaborate the superembedding description of 'simple' D = 10, N = 1
five-brane and discuss the possible application of the superembedding approach
in search for the equations of motion of the mysterious SO(32) heterotic five
brane on this basis.
|
[
{
"created": "Thu, 14 Jul 2011 09:46:53 GMT",
"version": "v1"
}
] |
2011-07-15
|
[
[
"Bandos",
"Igor A.",
""
]
] |
We elaborate the superembedding description of 'simple' D = 10, N = 1 five-brane and discuss the possible application of the superembedding approach in search for the equations of motion of the mysterious SO(32) heterotic five brane on this basis.
| 17.100241
| 13.261409
| 20.151255
| 12.747325
| 12.978383
| 13.860157
| 13.247776
| 13.231257
| 12.671804
| 19.335766
| 12.448454
| 13.959395
| 15.407714
| 14.024978
| 13.828259
| 15.105494
| 14.655046
| 13.768857
| 13.904337
| 14.469774
| 13.520783
|
0704.3186
|
Silvio Paolo Sorella
|
S.P. Sorella
|
On the dynamical mass generation in confining Yang-Mills theories
|
11 pages
|
AnnalsPhys.321:1747-1761,2006
|
10.1016/j.aop.2006.02.014
| null |
hep-th
| null |
The dynamical mass generation for gluons is discussed in Euclidean Yang-Mills
theories supplemented with a renormalizable mass term. The mass parameter is
not free, being determined in a self-consistent way through a gap equation
which obeys the renormalization group. The example of the Landau gauge is
worked out explicitly at one loop order. A few remarks on the issue of the
unitarity are provided.
|
[
{
"created": "Tue, 24 Apr 2007 17:57:42 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Sorella",
"S. P.",
""
]
] |
The dynamical mass generation for gluons is discussed in Euclidean Yang-Mills theories supplemented with a renormalizable mass term. The mass parameter is not free, being determined in a self-consistent way through a gap equation which obeys the renormalization group. The example of the Landau gauge is worked out explicitly at one loop order. A few remarks on the issue of the unitarity are provided.
| 9.262353
| 6.005242
| 8.001427
| 6.76605
| 6.430508
| 5.389116
| 5.892933
| 5.902827
| 6.489639
| 9.051146
| 6.855044
| 8.016889
| 7.851714
| 7.706148
| 7.932518
| 7.597934
| 7.895555
| 8.149851
| 7.762918
| 8.229815
| 7.855461
|
1506.06137
|
Jacob Bourjaily
|
Christian Baadsgaard, N. E. J. Bjerrum-Bohr, Jacob L. Bourjaily, and
Poul H. Damgaard
|
Integration Rules for Scattering Equations
|
30 pages, 29 figures
| null |
10.1007/JHEP09(2015)129
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
As described by Cachazo, He and Yuan, scattering amplitudes in many quantum
field theories can be represented as integrals that are fully localized on
solutions to the so-called scattering equations. Because the number of
solutions to the scattering equations grows quite rapidly, the contour of
integration involves contributions from many isolated components. In this
paper, we provide a simple, combinatorial rule that immediately provides the
result of integration against the scattering equation constraints for any
M\"obius-invariant integrand involving only simple poles. These rules have a
simple diagrammatic interpretation that makes the evaluation of any such
integrand immediate. Finally, we explain how these rules are related to the
computation of amplitudes in the field theory limit of string theory.
|
[
{
"created": "Fri, 19 Jun 2015 20:00:27 GMT",
"version": "v1"
}
] |
2015-10-28
|
[
[
"Baadsgaard",
"Christian",
""
],
[
"Bjerrum-Bohr",
"N. E. J.",
""
],
[
"Bourjaily",
"Jacob L.",
""
],
[
"Damgaard",
"Poul H.",
""
]
] |
As described by Cachazo, He and Yuan, scattering amplitudes in many quantum field theories can be represented as integrals that are fully localized on solutions to the so-called scattering equations. Because the number of solutions to the scattering equations grows quite rapidly, the contour of integration involves contributions from many isolated components. In this paper, we provide a simple, combinatorial rule that immediately provides the result of integration against the scattering equation constraints for any M\"obius-invariant integrand involving only simple poles. These rules have a simple diagrammatic interpretation that makes the evaluation of any such integrand immediate. Finally, we explain how these rules are related to the computation of amplitudes in the field theory limit of string theory.
| 6.759688
| 8.036012
| 10.221384
| 7.527525
| 8.678267
| 8.050534
| 8.040866
| 8.050932
| 7.896174
| 11.281018
| 7.918131
| 7.927398
| 8.11047
| 7.835137
| 8.045085
| 7.726339
| 7.929472
| 7.307203
| 7.540908
| 8.778067
| 7.542274
|
hep-th/0607240
|
T. Padmanabhan
|
Aseem Paranjape, Sudipta Sarkar, T. Padmanabhan
|
Thermodynamic route to Field equations in Lanczos-Lovelock Gravity
|
revised version: typos corrected and references added; revtex4; 9
pages; no figures
|
Phys.Rev.D74:104015,2006
|
10.1103/PhysRevD.74.104015
| null |
hep-th astro-ph gr-qc
| null |
Spacetimes with horizons show a resemblance to thermodynamic systems and one
can associate the notions of temperature and entropy with them. In the case of
Einstein-Hilbert gravity, it is possible to interpret Einstein's equations as
the thermodynamic identity TdS = dE + PdV for a spherically symmetric spacetime
and thus provide a thermodynamic route to understand the dynamics of gravity.
We study this approach further and show that the field equations for
Lanczos-Lovelock action in a spherically symmetric spacetime can also be
expressed as TdS = dE + PdV with S and E being given by expressions previously
derived in the literature by other approaches. The Lanczos-Lovelock Lagrangians
are of the form L=Q_a^{bcd}R^a_{bcd} with \nabla_b Q^{abcd}=0. In such models,
the expansion of Q^{abcd} in terms of the derivatives of the metric tensor
determines the structure of the theory and higher order terms can be
interpreted quantum corrections to Einstein gravity. Our result indicates a
deep connection between the thermodynamics of horizons and the allowed quantum
corrections to standard Einstein gravity, and shows that the relation TdS = dE
+ PdV has a greater domain of validity that Einstein's field equations.
|
[
{
"created": "Sat, 29 Jul 2006 13:48:34 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Aug 2006 10:42:48 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Paranjape",
"Aseem",
""
],
[
"Sarkar",
"Sudipta",
""
],
[
"Padmanabhan",
"T.",
""
]
] |
Spacetimes with horizons show a resemblance to thermodynamic systems and one can associate the notions of temperature and entropy with them. In the case of Einstein-Hilbert gravity, it is possible to interpret Einstein's equations as the thermodynamic identity TdS = dE + PdV for a spherically symmetric spacetime and thus provide a thermodynamic route to understand the dynamics of gravity. We study this approach further and show that the field equations for Lanczos-Lovelock action in a spherically symmetric spacetime can also be expressed as TdS = dE + PdV with S and E being given by expressions previously derived in the literature by other approaches. The Lanczos-Lovelock Lagrangians are of the form L=Q_a^{bcd}R^a_{bcd} with \nabla_b Q^{abcd}=0. In such models, the expansion of Q^{abcd} in terms of the derivatives of the metric tensor determines the structure of the theory and higher order terms can be interpreted quantum corrections to Einstein gravity. Our result indicates a deep connection between the thermodynamics of horizons and the allowed quantum corrections to standard Einstein gravity, and shows that the relation TdS = dE + PdV has a greater domain of validity that Einstein's field equations.
| 7.073569
| 7.869397
| 6.438406
| 6.385268
| 7.18021
| 7.313118
| 7.463904
| 6.284452
| 6.994996
| 7.132738
| 7.220454
| 6.872637
| 6.631014
| 6.662005
| 6.790346
| 6.712551
| 6.658731
| 6.677041
| 6.806491
| 6.767006
| 6.591585
|
1706.02712
|
Scott Melville
|
Claudia de Rham, Scott Melville, Andrew J. Tolley, Shuang-Yong Zhou
|
UV complete me: Positivity Bounds for Particles with Spin
|
29 pages + 6 appendices, 3 figures
| null |
10.1007/JHEP03(2018)011
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
For a low energy effective theory to admit a standard local, unitary,
analytic and Lorentz-invariant UV completion, its scattering amplitudes must
satisfy certain inequalities. While these bounds are known in the forward limit
for real polarizations, any extension beyond this for particles with nonzero
spin is subtle due to their non-trivial crossing relations. Using the
transversity formalism (i.e. spin projections orthogonal to the scattering
plane), in which the crossing relations become diagonal, these inequalities can
be derived for 2-to-2 scattering between any pair of massive particles, for a
complete set of polarizations at and away from the forward scattering limit.
This provides a set of powerful criteria which can be used to restrict the
parameter space of any effective field theory, often considerably more so than
its forward limit subset alone.
|
[
{
"created": "Thu, 8 Jun 2017 18:00:10 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Aug 2017 14:57:49 GMT",
"version": "v2"
}
] |
2018-04-04
|
[
[
"de Rham",
"Claudia",
""
],
[
"Melville",
"Scott",
""
],
[
"Tolley",
"Andrew J.",
""
],
[
"Zhou",
"Shuang-Yong",
""
]
] |
For a low energy effective theory to admit a standard local, unitary, analytic and Lorentz-invariant UV completion, its scattering amplitudes must satisfy certain inequalities. While these bounds are known in the forward limit for real polarizations, any extension beyond this for particles with nonzero spin is subtle due to their non-trivial crossing relations. Using the transversity formalism (i.e. spin projections orthogonal to the scattering plane), in which the crossing relations become diagonal, these inequalities can be derived for 2-to-2 scattering between any pair of massive particles, for a complete set of polarizations at and away from the forward scattering limit. This provides a set of powerful criteria which can be used to restrict the parameter space of any effective field theory, often considerably more so than its forward limit subset alone.
| 10.820364
| 11.333892
| 11.185275
| 10.384716
| 11.746557
| 10.782588
| 10.347735
| 10.144425
| 10.38007
| 12.300874
| 10.464543
| 10.274952
| 10.189597
| 10.010355
| 10.218733
| 10.265502
| 10.40957
| 10.095378
| 10.094491
| 9.867417
| 10.227315
|
1007.2116
|
Sven Bjarke Gudnason
|
Sven Bjarke Gudnason, Yunguo Jiang, Kenichi Konishi
|
Non-Abelian vortex dynamics: Effective world-sheet action
|
LaTeX, 25 pages, 0 figures
|
JHEP 1008:012,2010
|
10.1007/JHEP08(2010)012
|
IFUP-TH/2010-19
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The low-energy vortex effective action is constructed in a wide class of
systems in a color-flavor locked vacuum, which generalizes the results found
earlier in the context of U(N) models. It describes the weak fluctuations of
the non-Abelian orientational moduli on the vortex worldsheet. For instance,
for the minimum vortex in SO(2N) x U(1) or USp(2N) x U(1) gauge theories, the
effective action found is a two-dimensional sigma model living on the Hermitian
symmetric spaces SO(2N)/U(N) or USp(2N)/U(N), respectively. The fluctuating
moduli have the structure of that of a quantum particle state in spinor
representations of the GNO dual of the color-flavor SO(2N) or USp(2N) symmetry,
i.e. of SO(2N) or of SO(2N+1). Applied to the benchmark U(N) model our
procedure reproduces the known CP(N-1) worldsheet action; our recipe allows us
to obtain also the effective vortex action for some higher-winding vortices in
U(N) and SO(2N) theories.
|
[
{
"created": "Tue, 13 Jul 2010 14:40:54 GMT",
"version": "v1"
}
] |
2010-08-11
|
[
[
"Gudnason",
"Sven Bjarke",
""
],
[
"Jiang",
"Yunguo",
""
],
[
"Konishi",
"Kenichi",
""
]
] |
The low-energy vortex effective action is constructed in a wide class of systems in a color-flavor locked vacuum, which generalizes the results found earlier in the context of U(N) models. It describes the weak fluctuations of the non-Abelian orientational moduli on the vortex worldsheet. For instance, for the minimum vortex in SO(2N) x U(1) or USp(2N) x U(1) gauge theories, the effective action found is a two-dimensional sigma model living on the Hermitian symmetric spaces SO(2N)/U(N) or USp(2N)/U(N), respectively. The fluctuating moduli have the structure of that of a quantum particle state in spinor representations of the GNO dual of the color-flavor SO(2N) or USp(2N) symmetry, i.e. of SO(2N) or of SO(2N+1). Applied to the benchmark U(N) model our procedure reproduces the known CP(N-1) worldsheet action; our recipe allows us to obtain also the effective vortex action for some higher-winding vortices in U(N) and SO(2N) theories.
| 8.131426
| 7.786675
| 9.335016
| 7.919213
| 8.380406
| 7.715204
| 7.887146
| 7.528908
| 7.739565
| 9.613919
| 7.539653
| 7.695255
| 8.369359
| 7.857838
| 7.76596
| 7.64406
| 7.719931
| 7.69331
| 7.906469
| 8.725688
| 7.803645
|
0711.4982
|
Andrea Cappelli
|
Andrea Cappelli and Ivan D. Rodriguez
|
Semiclassical Droplet States in Matrix Quantum Hall Effect
|
39 pages, 12 figures
|
JHEP0802:046,2008
|
10.1088/1126-6708/2008/02/046
|
DFF 438/11/07
|
hep-th cond-mat.mes-hall
| null |
We derive semiclassical ground state solutions that correspond to the quantum
Hall states earlier found in the Maxwell-Chern-Simons matrix theory. They
realize the Jain composite-fermion construction and their density is piecewise
constant as that of phenomenological wave functions. These results support the
matrix theory as a possible effective theory of the fractional Hall effect. A
crucial role is played by the constraint limiting the degeneracy of matrix
states: we find its explicit gauge invariant form and clarify its physical
interpretation.
|
[
{
"created": "Fri, 30 Nov 2007 17:18:53 GMT",
"version": "v1"
},
{
"created": "Sat, 1 Dec 2007 09:19:28 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Cappelli",
"Andrea",
""
],
[
"Rodriguez",
"Ivan D.",
""
]
] |
We derive semiclassical ground state solutions that correspond to the quantum Hall states earlier found in the Maxwell-Chern-Simons matrix theory. They realize the Jain composite-fermion construction and their density is piecewise constant as that of phenomenological wave functions. These results support the matrix theory as a possible effective theory of the fractional Hall effect. A crucial role is played by the constraint limiting the degeneracy of matrix states: we find its explicit gauge invariant form and clarify its physical interpretation.
| 19.308456
| 14.115245
| 18.163828
| 14.291817
| 14.37057
| 14.874582
| 14.194153
| 14.277335
| 13.420212
| 18.555653
| 13.734988
| 15.645761
| 16.981703
| 14.866595
| 15.4869
| 16.002789
| 15.871967
| 15.059305
| 15.337477
| 15.726572
| 14.972095
|
1602.00111
|
Avdhesh Kumar
|
Avdhesh Kumar, Jitesh. R. Bhatt, Predhiman. K. Kaw
|
On the Chiral imbalance and Weibel Instabilities
|
10 pages, 3 figures. arXiv admin note: substantial text overlap with
arXiv:1405.2865
|
Physics Letters B 757, 317-323 (2016)
|
10.1016/j.physletb.2016.04.009
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the chiral-imbalance and the Weibel instabilities in presence of the
quantum anomaly using the Berry-curvature modified kinetic equation. We argue
that in many realistic situations, e.g. relativistic heavy-ion collisions, both
the instabilities can occur simultaneously. The Weibel instability depends on
the momentum anisotropy parameter $\xi$ and the angle ($\theta_n$) between the
propagation vector and the anisotropy direction. It has maximum growth rate at
$\theta_n=0$ while $\theta_n=\pi/2$ corresponds to a damping. On the other hand
the pure chiral-imbalance instability occurs in an isotropic plasma and depends
on difference between the chiral chemical potentials of right and left-handed
particles. It is shown that when $\theta_n=0$, only for a very small values of
the anisotropic parameter $\xi\sim \xi_c$, growth rates of the both
instabilities are comparable. For the cases $\xi_c<\xi\ll1$, $\xi\approx 1$ or
$\xi \geq 1$ at $\theta_n=0$, the Weibel modes dominate over the
chiral-imbalance instability if $\mu_5/T\leq1$. However, when $\mu_5/T\geq1$,
it is possible to have dominance of the chiral-imbalance modes at certain
values of $\theta_n$ for an arbitrary $\xi$.
|
[
{
"created": "Sat, 30 Jan 2016 12:07:05 GMT",
"version": "v1"
}
] |
2016-12-21
|
[
[
"Kumar",
"Avdhesh",
""
],
[
"Bhatt",
"Jitesh. R.",
""
],
[
"Kaw",
"Predhiman. K.",
""
]
] |
We study the chiral-imbalance and the Weibel instabilities in presence of the quantum anomaly using the Berry-curvature modified kinetic equation. We argue that in many realistic situations, e.g. relativistic heavy-ion collisions, both the instabilities can occur simultaneously. The Weibel instability depends on the momentum anisotropy parameter $\xi$ and the angle ($\theta_n$) between the propagation vector and the anisotropy direction. It has maximum growth rate at $\theta_n=0$ while $\theta_n=\pi/2$ corresponds to a damping. On the other hand the pure chiral-imbalance instability occurs in an isotropic plasma and depends on difference between the chiral chemical potentials of right and left-handed particles. It is shown that when $\theta_n=0$, only for a very small values of the anisotropic parameter $\xi\sim \xi_c$, growth rates of the both instabilities are comparable. For the cases $\xi_c<\xi\ll1$, $\xi\approx 1$ or $\xi \geq 1$ at $\theta_n=0$, the Weibel modes dominate over the chiral-imbalance instability if $\mu_5/T\leq1$. However, when $\mu_5/T\geq1$, it is possible to have dominance of the chiral-imbalance modes at certain values of $\theta_n$ for an arbitrary $\xi$.
| 5.523844
| 6.015103
| 5.54846
| 5.560312
| 5.917997
| 5.714658
| 6.07348
| 5.771904
| 5.663619
| 5.394809
| 5.564735
| 5.563833
| 5.427222
| 5.357616
| 5.439314
| 5.409226
| 5.463577
| 5.367856
| 5.374877
| 5.383327
| 5.464311
|
hep-th/9410242
|
Sonoda
|
Hidenori Sonoda
|
A Scheme Independent Definition of $\Lambda_{\rm QCD}$
|
4 pages, harvmac
| null | null |
UCLA/94/TEP/41
|
hep-th hep-ph
| null |
Given a renormalization scheme of QCD, one can define a mass scale
$\Lambda_{\rm QCD}$ in terms of the beta function. Under a change of the
renormalization scheme, however, $\Lambda_{\rm QCD}$ changes by a
multiplicative constant. We introduce a scheme independent $\Lambda_{\rm QCD}$
using a connection on the space of the coupling constant.
|
[
{
"created": "Tue, 1 Nov 1994 02:14:41 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Nov 1994 19:19:23 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Sonoda",
"Hidenori",
""
]
] |
Given a renormalization scheme of QCD, one can define a mass scale $\Lambda_{\rm QCD}$ in terms of the beta function. Under a change of the renormalization scheme, however, $\Lambda_{\rm QCD}$ changes by a multiplicative constant. We introduce a scheme independent $\Lambda_{\rm QCD}$ using a connection on the space of the coupling constant.
| 5.52993
| 4.16119
| 4.839766
| 4.590714
| 4.247548
| 4.532544
| 4.306966
| 4.664773
| 4.508414
| 4.516432
| 4.811766
| 4.775064
| 4.854555
| 4.650771
| 4.844097
| 4.913937
| 4.673761
| 4.965969
| 4.681488
| 4.834722
| 5.147105
|
hep-th/0610268
|
Josep M. Pons
|
Josep M. Pons
|
Dimensional reduction, truncations, constraints and the issue of
consistency
|
12 pages. References added
|
J.Phys.Conf.Ser.68:012030,2007
|
10.1088/1742-6596/68/1/012030
| null |
hep-th
| null |
A brief overview of dimensional reductions for diffeomorphism invariant
theories is given. The distinction between the physical idea of
compactification and the mathematical problem of a consistent truncation is
discussed, and the typical ingredients of the latter --reduction of spacetime
dimensions and the introduction of constraints-- are examined. The consistency
in the case of of group manifold reductions, when the structure constants
satisfy the unimodularity condition, is shown in a clear way together with the
associated reduction of the gauge group. The problem of consistent truncations
on coset spaces is also discussed and we comment on examples of some remarkable
consistent truncations that have been found in this context.
|
[
{
"created": "Wed, 25 Oct 2006 15:49:10 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Nov 2006 11:43:30 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Pons",
"Josep M.",
""
]
] |
A brief overview of dimensional reductions for diffeomorphism invariant theories is given. The distinction between the physical idea of compactification and the mathematical problem of a consistent truncation is discussed, and the typical ingredients of the latter --reduction of spacetime dimensions and the introduction of constraints-- are examined. The consistency in the case of of group manifold reductions, when the structure constants satisfy the unimodularity condition, is shown in a clear way together with the associated reduction of the gauge group. The problem of consistent truncations on coset spaces is also discussed and we comment on examples of some remarkable consistent truncations that have been found in this context.
| 12.204536
| 12.030575
| 13.011594
| 11.187971
| 11.742414
| 12.221227
| 10.689544
| 11.602792
| 11.725103
| 13.402534
| 11.601271
| 11.249009
| 11.869627
| 11.327738
| 11.573156
| 11.301179
| 11.588547
| 11.375299
| 11.399448
| 11.270759
| 11.35778
|
hep-th/0410188
|
Saulo Carneiro
|
S. Carneiro and M. C. Nemes
|
Spacetime quantization induced by axial currents
|
To appear in Chaos Solitons & Fractals
|
Chaos Solitons Fractals 24:1183-1187,2005
|
10.1016/j.chaos.2004.09.120
| null |
hep-th
| null |
In the present contribution we show that the introduction of a conserved
axial current in electrodynamics can explain the quantization of electric
charge, inducing at the same time a dynamical quantization of spacetime.
|
[
{
"created": "Mon, 18 Oct 2004 18:04:05 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Carneiro",
"S.",
""
],
[
"Nemes",
"M. C.",
""
]
] |
In the present contribution we show that the introduction of a conserved axial current in electrodynamics can explain the quantization of electric charge, inducing at the same time a dynamical quantization of spacetime.
| 10.509777
| 7.138475
| 8.894738
| 8.073758
| 7.795576
| 7.676866
| 6.960217
| 7.520478
| 7.549201
| 8.721039
| 8.495279
| 9.744429
| 8.636182
| 8.594566
| 9.203252
| 9.485036
| 9.006721
| 9.238441
| 8.230267
| 8.842505
| 9.474745
|
hep-th/9411181
|
Vitaly Tarasov
|
V.Tarasov and A.Varchenko
|
Solutions to the Quantized Knizhnik-Zamolodchikov Equation and the Bethe
Ansatz
|
6 pages, amstex.tex (ver 2.1), amsppt.sty (ver 2.1)
| null | null |
to appear in Proceedings of XX-th ICGTMP (Osaka, July 4-9, 1994)
|
hep-th
| null |
We give an integral representation for solutions to the quantized Knizhnik-
Zamolodchikov equation (qKZ) associated with the Lie algebra $gl_{N+1}$.
Asymptotic solutions to qKZ are constructed. The leading term of an asymptotic
solution is the Bethe vector -- an eigenvector of the transfer-matrix of a
quantum spin chain model. We show that the norm of the Bethe vector is equal to
the product of the Hessian of a suitable function and an explicitly written
rational function. This formula is a generalization of the Gaudin-Korepin
formula for a norm of the Bethe vector. We show that, generically, the Bethe
vectors form a base for the $gl_2$ case.
|
[
{
"created": "Thu, 24 Nov 1994 16:08:32 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Tarasov",
"V.",
""
],
[
"Varchenko",
"A.",
""
]
] |
We give an integral representation for solutions to the quantized Knizhnik- Zamolodchikov equation (qKZ) associated with the Lie algebra $gl_{N+1}$. Asymptotic solutions to qKZ are constructed. The leading term of an asymptotic solution is the Bethe vector -- an eigenvector of the transfer-matrix of a quantum spin chain model. We show that the norm of the Bethe vector is equal to the product of the Hessian of a suitable function and an explicitly written rational function. This formula is a generalization of the Gaudin-Korepin formula for a norm of the Bethe vector. We show that, generically, the Bethe vectors form a base for the $gl_2$ case.
| 5.260589
| 5.779321
| 6.234756
| 5.183314
| 6.01274
| 5.515955
| 5.700257
| 5.691142
| 5.162119
| 6.601988
| 5.248978
| 5.147492
| 5.608212
| 5.247448
| 5.185904
| 4.98975
| 5.285567
| 5.142374
| 5.271523
| 5.60664
| 5.192547
|
hep-th/0301224
|
Manoel Messias Ferreira Junior
|
H. Belich, M.M. Ferreira Jr., J.A. Helay\"el-Neto, M.T.D. Orlando
|
Classical Solutions in a Lorentz-violating Maxwell-Chern-Simons
Electrodynamics
|
latex, 8 pages
|
Phys.Rev. D68 (2003) 025005
|
10.1103/PhysRevD.68.025005
| null |
hep-th
| null |
We take as starting point the planar model arising from the dimensional
reduction of the Maxwell Electrodynamics with the (Lorentz-violating)
Carroll-Field-Jackiw term. We then write and study the extended Maxwell
equations and the corresponding wave equations for the potentials. The solution
to these equations show some interesting deviations from the usual MCS
Electrodynamics, with background-dependent correction terms. In the case of a
time-like background, the correction terms dominate over the MCS sector in the
region far from the origin, and establish the behaviour of a massless
Electrodynamics (in the electric sector). In the space-like case, the solutions
indicate the clear manifestation of spatial anisotropy, which is consistent
with the existence of a privileged direction is space.
|
[
{
"created": "Tue, 28 Jan 2003 01:34:57 GMT",
"version": "v1"
}
] |
2016-08-16
|
[
[
"Belich",
"H.",
""
],
[
"Ferreira",
"M. M.",
"Jr."
],
[
"Helayël-Neto",
"J. A.",
""
],
[
"Orlando",
"M. T. D.",
""
]
] |
We take as starting point the planar model arising from the dimensional reduction of the Maxwell Electrodynamics with the (Lorentz-violating) Carroll-Field-Jackiw term. We then write and study the extended Maxwell equations and the corresponding wave equations for the potentials. The solution to these equations show some interesting deviations from the usual MCS Electrodynamics, with background-dependent correction terms. In the case of a time-like background, the correction terms dominate over the MCS sector in the region far from the origin, and establish the behaviour of a massless Electrodynamics (in the electric sector). In the space-like case, the solutions indicate the clear manifestation of spatial anisotropy, which is consistent with the existence of a privileged direction is space.
| 13.364268
| 11.868142
| 13.097193
| 11.495938
| 12.111023
| 11.43514
| 12.048964
| 12.242405
| 11.971798
| 12.960754
| 11.880134
| 12.201807
| 12.362386
| 11.937393
| 11.95465
| 12.250607
| 11.781049
| 11.884579
| 12.188206
| 12.294658
| 11.936164
|
1401.6086
|
Malte Henkel
|
Malte Henkel, Stoimen Stoimenov
|
Physical ageing and new representations of some Lie algebras of local
scale-invariance
|
Latex2e (+ macros), 17 pages with 1 figure included, proceedings
conference LT-10 Varna (Bulgarie)
|
Springer Proc. Math. Stat. 111, 33 (2015)
|
10.1007/978-4-431-55285-7_4
| null |
hep-th cond-mat.stat-mech math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Indecomposable but reducible representations of several Lie algebras of local
scale-transformations, including the Schr\"odinger and conformal Galilean
algebras, and some of their applications in physical ageing are reviewed. The
physical requirement of the decay of co-variant two-point functions for large
distances is related to analyticity properties in the coordinates dual to the
physical masses or rapidities.
|
[
{
"created": "Thu, 23 Jan 2014 18:25:32 GMT",
"version": "v1"
}
] |
2015-09-01
|
[
[
"Henkel",
"Malte",
""
],
[
"Stoimenov",
"Stoimen",
""
]
] |
Indecomposable but reducible representations of several Lie algebras of local scale-transformations, including the Schr\"odinger and conformal Galilean algebras, and some of their applications in physical ageing are reviewed. The physical requirement of the decay of co-variant two-point functions for large distances is related to analyticity properties in the coordinates dual to the physical masses or rapidities.
| 21.49729
| 19.456276
| 17.648146
| 15.417934
| 19.160398
| 16.47374
| 18.91992
| 17.394457
| 16.632957
| 23.759148
| 16.704166
| 15.743086
| 17.111141
| 15.664644
| 15.833069
| 16.198923
| 14.853956
| 16.34551
| 16.033176
| 18.343193
| 16.237663
|
1804.01743
|
Yan-Gang Miao
|
Yan-Gang Miao, Zhen-Ming Xu
|
Interaction potential and thermo-correction to the equation of state for
thermally stable Schwarzschild Anti-de Sitter black holes
|
v1: 11 pages, no figures; v2: minor revisions; v3: 12 pages, minor
revisions, final version to appear in Science China Physics, Mechanics &
Astronomy
|
Sci. China-Phys. Mech. Astron. 62, 010412 (2019)
|
10.1007/s11433-018-9254-9
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The microscopic structure of black holes remains a challenging subject. In
this paper, based on the well-accepted fact that black holes can be mapped to
thermodynamic systems, we make a preliminary exploration of the microscopic
structure of the thermodynamically stable Schwarzschild anti-de-Sitter (SAdS)
black hole. In accordance with the number density and thermodynamic scalar
curvature, we give the interaction potential among the molecules of
thermodynamically stable SAdS black holes and analyze its effectiveness.
Moreover, we derive the thermo-correction to the equation of state for such
black holes that arises from interactions among black-hole molecules using
virial coefficients.
|
[
{
"created": "Thu, 5 Apr 2018 09:11:01 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Apr 2018 02:26:47 GMT",
"version": "v2"
},
{
"created": "Sat, 26 May 2018 07:49:36 GMT",
"version": "v3"
}
] |
2018-08-07
|
[
[
"Miao",
"Yan-Gang",
""
],
[
"Xu",
"Zhen-Ming",
""
]
] |
The microscopic structure of black holes remains a challenging subject. In this paper, based on the well-accepted fact that black holes can be mapped to thermodynamic systems, we make a preliminary exploration of the microscopic structure of the thermodynamically stable Schwarzschild anti-de-Sitter (SAdS) black hole. In accordance with the number density and thermodynamic scalar curvature, we give the interaction potential among the molecules of thermodynamically stable SAdS black holes and analyze its effectiveness. Moreover, we derive the thermo-correction to the equation of state for such black holes that arises from interactions among black-hole molecules using virial coefficients.
| 10.21268
| 9.936874
| 9.151604
| 9.380499
| 8.870614
| 8.861577
| 10.778841
| 9.02715
| 9.388863
| 10.016928
| 8.910124
| 9.600266
| 9.67943
| 9.439629
| 9.661866
| 9.679566
| 9.223029
| 9.393642
| 9.744626
| 9.970373
| 9.51549
|
1606.07078
|
Eric R. Sharpe
|
W. Gu, E. Sharpe
|
Bagger-Witten line bundles on moduli spaces of elliptic curves
|
33 pages, LaTeX; v2: typos fixed; v3: material on metaplectic
quotient presentation added; v4: more typos fixed
|
Int. J. Mod. Phys. A 31 (2016) 1650188
|
10.1142/S0217751X16501888
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we discuss Bagger-Witten line bundles over moduli spaces of
SCFTs. We review how in general they are `fractional' line bundles, not honest
line bundles, twisted on triple overlaps. We discuss the special case of moduli
spaces of elliptic curves in detail. There, the Bagger-Witten line bundle does
not exist as an ordinary line bundle, but rather is necessarily fractional. As
a fractional line bundle, it is nontrivial (though torsion) over the
uncompactified moduli stack, and its restriction to the interior, excising
corners with enhanced stabilizers, is also fractional. It becomes an honest
line bundle on a moduli stack defined by a quotient of the upper half plane by
a metaplectic group, rather than SL(2,Z). We review and compare to results of
recent work arguing that well-definedness of the worldsheet metric implies that
the Bagger-Witten line bundle admits a flat connection (which includes torsion
bundles as special cases), and give general arguments on the existence of
universal structures on moduli spaces of SCFTs, in which superconformal
deformation parameters are promoted to nondynamical fields ranging over the
SCFT moduli space.
|
[
{
"created": "Wed, 22 Jun 2016 20:01:39 GMT",
"version": "v1"
},
{
"created": "Sat, 25 Jun 2016 15:17:26 GMT",
"version": "v2"
},
{
"created": "Wed, 20 Jul 2016 13:19:51 GMT",
"version": "v3"
},
{
"created": "Wed, 31 Aug 2016 14:23:47 GMT",
"version": "v4"
}
] |
2016-12-21
|
[
[
"Gu",
"W.",
""
],
[
"Sharpe",
"E.",
""
]
] |
In this paper we discuss Bagger-Witten line bundles over moduli spaces of SCFTs. We review how in general they are `fractional' line bundles, not honest line bundles, twisted on triple overlaps. We discuss the special case of moduli spaces of elliptic curves in detail. There, the Bagger-Witten line bundle does not exist as an ordinary line bundle, but rather is necessarily fractional. As a fractional line bundle, it is nontrivial (though torsion) over the uncompactified moduli stack, and its restriction to the interior, excising corners with enhanced stabilizers, is also fractional. It becomes an honest line bundle on a moduli stack defined by a quotient of the upper half plane by a metaplectic group, rather than SL(2,Z). We review and compare to results of recent work arguing that well-definedness of the worldsheet metric implies that the Bagger-Witten line bundle admits a flat connection (which includes torsion bundles as special cases), and give general arguments on the existence of universal structures on moduli spaces of SCFTs, in which superconformal deformation parameters are promoted to nondynamical fields ranging over the SCFT moduli space.
| 12.08622
| 13.313071
| 12.84249
| 12.282788
| 15.03875
| 13.093761
| 13.694123
| 12.779615
| 12.61408
| 13.881394
| 11.996882
| 12.450811
| 12.071958
| 11.594696
| 12.232943
| 12.493231
| 12.57058
| 12.165625
| 11.99348
| 11.887997
| 12.233167
|
2211.07784
|
Oscar Acevedo
|
O.A. Acevedo and B.M. Pimentel
|
Quantum electrodynamics in the null-plane causal perturbation theory II
|
To be published in Phys. Rev. D
| null |
10.1103/PhysRevD.106.096024
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We develop a complete formulation of quantum gauge invariance in light-front
dynamics for interacting theories with massless vector gauge fields in the
framework of null-plane causal perturbation theory. We apply the general
results to quantum electrodynamics, showing that the so-called "gauge terms"
present in the photon commutation distribution when quantized under the
null-plane gauge condition have no contribution in the calculation of the
physical S-operator matrix elements at any order. We use this result to prove
the normalizability of the theory, and to calculate the electron's self-energy
at second order.
|
[
{
"created": "Mon, 14 Nov 2022 22:36:09 GMT",
"version": "v1"
}
] |
2022-12-07
|
[
[
"Acevedo",
"O. A.",
""
],
[
"Pimentel",
"B. M.",
""
]
] |
We develop a complete formulation of quantum gauge invariance in light-front dynamics for interacting theories with massless vector gauge fields in the framework of null-plane causal perturbation theory. We apply the general results to quantum electrodynamics, showing that the so-called "gauge terms" present in the photon commutation distribution when quantized under the null-plane gauge condition have no contribution in the calculation of the physical S-operator matrix elements at any order. We use this result to prove the normalizability of the theory, and to calculate the electron's self-energy at second order.
| 12.199033
| 12.38747
| 12.634321
| 10.638615
| 12.573278
| 12.142329
| 11.532568
| 11.712067
| 10.523685
| 12.42956
| 11.514596
| 10.785064
| 11.840393
| 11.41822
| 11.658351
| 10.884078
| 10.829823
| 11.55602
| 11.272621
| 11.603681
| 11.053185
|
hep-th/0504183
|
Frank Meyer
|
Paolo Aschieri, Christian Blohmann, Marija Dimitrijevic, Frank Meyer,
Peter Schupp, Julius Wess
|
A Gravity Theory on Noncommutative Spaces
|
28 pages, v2: coefficient in equ. (10.15) corrected, references
added, v3: references added, published version
|
Class.Quant.Grav. 22 (2005) 3511-3532
|
10.1088/0264-9381/22/17/011
| null |
hep-th gr-qc math-ph math.MP
| null |
A deformation of the algebra of diffeomorphisms is constructed for
canonically deformed spaces with constant deformation parameter theta. The
algebraic relations remain the same, whereas the comultiplication rule (Leibniz
rule) is different from the undeformed one. Based on this deformed algebra a
covariant tensor calculus is constructed and all the concepts like metric,
covariant derivatives, curvature and torsion can be defined on the deformed
space as well. The construction of these geometric quantities is presented in
detail. This leads to an action invariant under the deformed diffeomorphism
algebra and can be interpreted as a theta-deformed Einstein-Hilbert action. The
metric or the vierbein field will be the dynamical variable as they are in the
undeformed theory. The action and all relevant quantities are expanded up to
second order in theta.
|
[
{
"created": "Fri, 22 Apr 2005 13:05:16 GMT",
"version": "v1"
},
{
"created": "Thu, 12 May 2005 17:52:30 GMT",
"version": "v2"
},
{
"created": "Tue, 16 Aug 2005 14:38:18 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Aschieri",
"Paolo",
""
],
[
"Blohmann",
"Christian",
""
],
[
"Dimitrijevic",
"Marija",
""
],
[
"Meyer",
"Frank",
""
],
[
"Schupp",
"Peter",
""
],
[
"Wess",
"Julius",
""
]
] |
A deformation of the algebra of diffeomorphisms is constructed for canonically deformed spaces with constant deformation parameter theta. The algebraic relations remain the same, whereas the comultiplication rule (Leibniz rule) is different from the undeformed one. Based on this deformed algebra a covariant tensor calculus is constructed and all the concepts like metric, covariant derivatives, curvature and torsion can be defined on the deformed space as well. The construction of these geometric quantities is presented in detail. This leads to an action invariant under the deformed diffeomorphism algebra and can be interpreted as a theta-deformed Einstein-Hilbert action. The metric or the vierbein field will be the dynamical variable as they are in the undeformed theory. The action and all relevant quantities are expanded up to second order in theta.
| 7.8882
| 7.73
| 7.971019
| 6.972993
| 7.463719
| 6.95495
| 6.871385
| 7.030681
| 7.10841
| 7.932619
| 7.159994
| 7.20037
| 7.913804
| 7.267278
| 7.277756
| 7.159849
| 7.149558
| 7.398798
| 7.249066
| 7.513094
| 7.202439
|
1512.03212
|
Valery Katkov
|
V.M. Katkov
|
Polarization operator of a photon in a magnetic field
|
14 pages
| null |
10.1134/S1063776116070086
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the first order of the fine structer constant, the polarization operator
of a photon is investigated in a constant and homogeneous magnetic field at
arbitrary photon energies. For weak and strong fields H, compared with the
Schwinger critical field, approximate expressions have been found. We consider
the pure quantum region of photon energy near the threshold of pair creation,
as well as the region of high energy levels where the quasiclassical
approximation is valid. The general formula has been obtained for the effective
mass of photon with given polarization. It is useful for an analysis of the
problem under consideration on the whole and at a numerical work
|
[
{
"created": "Thu, 10 Dec 2015 11:06:02 GMT",
"version": "v1"
}
] |
2016-10-12
|
[
[
"Katkov",
"V. M.",
""
]
] |
In the first order of the fine structer constant, the polarization operator of a photon is investigated in a constant and homogeneous magnetic field at arbitrary photon energies. For weak and strong fields H, compared with the Schwinger critical field, approximate expressions have been found. We consider the pure quantum region of photon energy near the threshold of pair creation, as well as the region of high energy levels where the quasiclassical approximation is valid. The general formula has been obtained for the effective mass of photon with given polarization. It is useful for an analysis of the problem under consideration on the whole and at a numerical work
| 15.824506
| 13.016971
| 12.338326
| 11.51671
| 15.82669
| 14.700545
| 14.794416
| 13.657165
| 11.533604
| 14.740987
| 13.21212
| 13.690398
| 12.78151
| 13.145242
| 13.916816
| 14.436242
| 13.471626
| 13.630149
| 13.592729
| 13.277812
| 13.839926
|
1807.05193
|
Chethan Krishnan
|
Sumit K. Garg, Chethan Krishnan
|
Bounds on Slow Roll and the de Sitter Swampland
|
v2: many refs added, clarifications and comments added, improved
wording regarding single/multi-field and potential/Hubble slow roll, typos
fixed
| null |
10.1007/JHEP11(2019)075
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The recently introduced swampland criterion for de Sitter (arXiv:1806.08362)
can be viewed as a (hierarchically large) bound on the smallness of the slow
roll parameter $\epsilon_V$. This leads us to consider the other slow roll
parameter $\eta_V$ more closely, and we are lead to conjecture that the bound
is not necessarily on $\epsilon_V$, but on slow roll itself. A natural
refinement of the de Sitter swampland conjecture is therefore that slow roll is
violated at ${\cal O}(1)$ in Planck units in any UV complete theory. A
corollary is that $\epsilon_V$ need not necessarily be ${\cal O}(1)$, if
$\eta_V \lesssim -{\cal O}(1)$ holds. We consider various tachyonic tree level
constructions of de Sitter in IIA/IIB string theory (as well as closely related
models of inflation), which superficially violate arXiv:1806.08362, and show
that they are consistent with this refined version of the bound. The phrasing
in terms of slow roll makes it plausible why both versions of the conjecture
run into trouble when the number of e-folds during inflation is high. We
speculate that one way to evade the bound could be to have a large number of
fields, like in $N$-flation.
|
[
{
"created": "Fri, 13 Jul 2018 17:23:53 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Jul 2018 17:50:53 GMT",
"version": "v2"
}
] |
2021-08-12
|
[
[
"Garg",
"Sumit K.",
""
],
[
"Krishnan",
"Chethan",
""
]
] |
The recently introduced swampland criterion for de Sitter (arXiv:1806.08362) can be viewed as a (hierarchically large) bound on the smallness of the slow roll parameter $\epsilon_V$. This leads us to consider the other slow roll parameter $\eta_V$ more closely, and we are lead to conjecture that the bound is not necessarily on $\epsilon_V$, but on slow roll itself. A natural refinement of the de Sitter swampland conjecture is therefore that slow roll is violated at ${\cal O}(1)$ in Planck units in any UV complete theory. A corollary is that $\epsilon_V$ need not necessarily be ${\cal O}(1)$, if $\eta_V \lesssim -{\cal O}(1)$ holds. We consider various tachyonic tree level constructions of de Sitter in IIA/IIB string theory (as well as closely related models of inflation), which superficially violate arXiv:1806.08362, and show that they are consistent with this refined version of the bound. The phrasing in terms of slow roll makes it plausible why both versions of the conjecture run into trouble when the number of e-folds during inflation is high. We speculate that one way to evade the bound could be to have a large number of fields, like in $N$-flation.
| 6.749308
| 7.041237
| 7.370632
| 6.439874
| 7.007322
| 7.113296
| 7.072567
| 6.476497
| 6.737247
| 7.728281
| 6.740425
| 6.351692
| 6.76414
| 6.397794
| 6.386156
| 6.514028
| 6.464596
| 6.427639
| 6.369376
| 6.450759
| 6.423147
|
hep-th/9709142
|
Marianne Rooman
|
Cl. Gabriel, M. Rooman, Ph. Spindel
|
Chiral supersymmetric pp-wave solutions of IIA supergravity
|
LaTeX file, 10 pages
|
Phys.Lett. B415 (1997) 54-62
|
10.1016/S0370-2693(97)01211-2
| null |
hep-th
| null |
We describe solutions of type IIA (N=2, D=10) supergravity built under the
assumption of the existence of at least one residual chiral supersymmetry.
Their geometry is of pp-wave type. Explicit parametrization of the metric and
matter field components, in terms of Killing spinors and arbitrary functions,
is provided.
|
[
{
"created": "Fri, 19 Sep 1997 10:52:13 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Gabriel",
"Cl.",
""
],
[
"Rooman",
"M.",
""
],
[
"Spindel",
"Ph.",
""
]
] |
We describe solutions of type IIA (N=2, D=10) supergravity built under the assumption of the existence of at least one residual chiral supersymmetry. Their geometry is of pp-wave type. Explicit parametrization of the metric and matter field components, in terms of Killing spinors and arbitrary functions, is provided.
| 12.249981
| 11.470881
| 12.624953
| 10.532352
| 11.323282
| 11.533876
| 12.142822
| 11.082842
| 10.6883
| 15.24911
| 10.737424
| 10.7692
| 11.857185
| 10.660784
| 10.762785
| 10.605528
| 10.459416
| 10.345594
| 10.489212
| 11.553447
| 10.32186
|
1612.09248
|
Chi Xiong
|
Chi Xiong, Kerson Huang
|
Relativistic two-fluid hydrodynamics with quantized vorticity from the
nonlinear Klein-Gordon equation
|
20 pages, no figure
| null | null | null |
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a relativistic two-fluid model of superfluidity, in which the
superfluid is described by an order parameter that is a complex scalar field
satisfying the nonlinear Klein-Gordon equation (NLKG). The coupling to the
normal fluid is introduced via a covariant current-current interaction, which
results in the addition of an effective potential, whose imaginary part
describes particle transfer between superfluid and normal fluid. Quantized
vorticity arises in a class of singular solutions and the related vortex
dynamics is incorporated in the modified NLKG, facilitating numerical analysis
which is usually very complicated in the phenomenology of vortex filaments. The
dual transformation to a string theory description (Kalb-Ramond) of quantum
vorticity, the Magnus force and the mutual friction between quantized vortices
and normal fluid are also studied.
|
[
{
"created": "Thu, 29 Dec 2016 19:05:18 GMT",
"version": "v1"
}
] |
2016-12-30
|
[
[
"Xiong",
"Chi",
""
],
[
"Huang",
"Kerson",
""
]
] |
We consider a relativistic two-fluid model of superfluidity, in which the superfluid is described by an order parameter that is a complex scalar field satisfying the nonlinear Klein-Gordon equation (NLKG). The coupling to the normal fluid is introduced via a covariant current-current interaction, which results in the addition of an effective potential, whose imaginary part describes particle transfer between superfluid and normal fluid. Quantized vorticity arises in a class of singular solutions and the related vortex dynamics is incorporated in the modified NLKG, facilitating numerical analysis which is usually very complicated in the phenomenology of vortex filaments. The dual transformation to a string theory description (Kalb-Ramond) of quantum vorticity, the Magnus force and the mutual friction between quantized vortices and normal fluid are also studied.
| 12.215441
| 12.866398
| 11.720933
| 11.268346
| 11.760736
| 11.813251
| 11.901689
| 11.860396
| 12.353765
| 13.402093
| 12.31165
| 11.331915
| 11.796175
| 11.505431
| 11.871753
| 11.701963
| 11.952293
| 11.761283
| 11.712137
| 11.670465
| 11.291062
|
2105.13300
|
Jan Rosseel
|
Nihat Sadik Deger and Jan Rosseel
|
The Third way to 3D Supersymmetric Massive Yang-Mills Theory
|
8 pages
|
Phys. Rev. D 104, 081701 (2021)
|
10.1103/PhysRevD.104.L081701
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct three-dimensional, $\mathcal{N}=1$ off-shell supersymmetric
massive Yang-Mills (YM) theory, whose YM equation is "third way" consistent.
This means that the field equations of this model do not come from variation of
a local action without additional fields, yet the gauge covariant divergence of
the YM equation still vanishes on-shell. To achieve this, we modify the massive
Majorana spinor equation so that its supersymmetry variation gives the modified
YM equation, whose bosonic part coincides with the third way consistent pure
massive YM model.
|
[
{
"created": "Thu, 27 May 2021 16:50:12 GMT",
"version": "v1"
}
] |
2021-10-04
|
[
[
"Deger",
"Nihat Sadik",
""
],
[
"Rosseel",
"Jan",
""
]
] |
We construct three-dimensional, $\mathcal{N}=1$ off-shell supersymmetric massive Yang-Mills (YM) theory, whose YM equation is "third way" consistent. This means that the field equations of this model do not come from variation of a local action without additional fields, yet the gauge covariant divergence of the YM equation still vanishes on-shell. To achieve this, we modify the massive Majorana spinor equation so that its supersymmetry variation gives the modified YM equation, whose bosonic part coincides with the third way consistent pure massive YM model.
| 11.96254
| 11.720468
| 11.67967
| 10.622788
| 11.212516
| 11.793602
| 12.514284
| 9.987144
| 11.188881
| 13.310497
| 11.256716
| 11.606008
| 11.808911
| 10.74942
| 11.021695
| 11.707528
| 11.342297
| 10.996374
| 11.46812
| 12.084594
| 10.873941
|
hep-th/0205066
|
Andrei Mikhailov
|
David J. Gross, Andrei Mikhailov, Radu Roiban
|
Operators with large R charge in N=4 Yang-Mills theory
|
26 pages, LaTeX, added references, small changes in the introduction
|
Annals Phys. 301 (2002) 31-52
|
10.1006/aphy.2002.6293
|
NSF-ITP-02-36, ITEP-TH-17/02
|
hep-th
| null |
It has been recently proposed that string theory in the background of a plane
wave corresponds to a certain subsector of the N=4 supersymmetric Yang-Mills
theory. This correspondence follows as a limit of the AdS/CFT duality. As a
particular case of the AdS/CFT correspondence, it is a priori a strong/weak
coupling duality. However, the predictions for the anomalous dimensions which
follow from this particular limit are analytic functions of the 't Hooft
coupling constant $\lambda$ and have a well defined expansion in the weak
coupling regime. This allows one to conjecture that the correspondence between
the strings on the plane wave background and the Yang-Mills theory works at the
level of perturbative expansions.
In our paper we perform perturbative computations in the Yang-Mills theory
that confirm this conjecture. We calculate the anomalous dimension of the
operator corresponding to the elementary string excitation. We verify at the
two loop level that the anomalous dimension has a finite limit when the R
charge $J\to \infty$ keeping $\lambda/J^2$ finite. We conjecture that this is
true at higher orders of perturbation theory. We show, by summing an infinite
subset of Feynman diagrams, under the above assumption, that the anomalous
dimensions arising from the Yang-Mills perturbation theory are in agreement
with the anomalous dimensions following from the string worldsheet sigma-model.
|
[
{
"created": "Tue, 7 May 2002 19:40:37 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Jun 2002 01:51:51 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Gross",
"David J.",
""
],
[
"Mikhailov",
"Andrei",
""
],
[
"Roiban",
"Radu",
""
]
] |
It has been recently proposed that string theory in the background of a plane wave corresponds to a certain subsector of the N=4 supersymmetric Yang-Mills theory. This correspondence follows as a limit of the AdS/CFT duality. As a particular case of the AdS/CFT correspondence, it is a priori a strong/weak coupling duality. However, the predictions for the anomalous dimensions which follow from this particular limit are analytic functions of the 't Hooft coupling constant $\lambda$ and have a well defined expansion in the weak coupling regime. This allows one to conjecture that the correspondence between the strings on the plane wave background and the Yang-Mills theory works at the level of perturbative expansions. In our paper we perform perturbative computations in the Yang-Mills theory that confirm this conjecture. We calculate the anomalous dimension of the operator corresponding to the elementary string excitation. We verify at the two loop level that the anomalous dimension has a finite limit when the R charge $J\to \infty$ keeping $\lambda/J^2$ finite. We conjecture that this is true at higher orders of perturbation theory. We show, by summing an infinite subset of Feynman diagrams, under the above assumption, that the anomalous dimensions arising from the Yang-Mills perturbation theory are in agreement with the anomalous dimensions following from the string worldsheet sigma-model.
| 5.147516
| 4.903608
| 5.72459
| 4.869187
| 5.444044
| 5.48407
| 5.245504
| 5.056078
| 5.054691
| 5.879622
| 5.08423
| 5.003453
| 5.047246
| 5.056364
| 5.079567
| 5.014705
| 5.031981
| 4.979141
| 5.089531
| 4.936379
| 5.009304
|
0812.4510
|
Kluson Josef
|
J. Kluson
|
Algebra of Lax Connection for T-Dual Models
|
24 pages, references added
|
J.Phys.A42:285401,2009
|
10.1088/1751-8113/42/28/285401
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study relation between T-duality and integrability. We develop the
Hamiltonian formalism for principal chiral model on general group manifold and
on its T-dual image. We calculate the Poisson bracket of Lax connections in
T-dual model and we show that they are non-local as opposite to the Poisson
brackets of Lax connection in original model. We demonstrate these calculations
on two specific examples: Sigma model on S(2) and sigma model on AdS(2).
|
[
{
"created": "Wed, 24 Dec 2008 09:38:52 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Dec 2008 08:41:36 GMT",
"version": "v2"
}
] |
2009-07-24
|
[
[
"Kluson",
"J.",
""
]
] |
We study relation between T-duality and integrability. We develop the Hamiltonian formalism for principal chiral model on general group manifold and on its T-dual image. We calculate the Poisson bracket of Lax connections in T-dual model and we show that they are non-local as opposite to the Poisson brackets of Lax connection in original model. We demonstrate these calculations on two specific examples: Sigma model on S(2) and sigma model on AdS(2).
| 8.630058
| 7.320278
| 8.245229
| 7.847154
| 8.35623
| 7.19632
| 7.640108
| 7.589959
| 7.165854
| 9.949652
| 7.322676
| 7.906991
| 8.840945
| 7.923179
| 7.835764
| 7.742401
| 7.707078
| 8.092723
| 7.657809
| 8.357009
| 7.649628
|
2311.01172
|
Mu-Jing Li
|
Mu-Jing Li, Chong-Ye Chen, Chao Niu, Cheng-Yong Zhang and Peng Liu
|
Mixed-State Entanglement and Transport in
Einstein-Maxwell-Axion-Horndeski Theory
|
28 pages, 8 figures
| null | null | null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We present a comprehensive study exploring the relationship between transport
properties and measures of quantum entanglement in the
Einstein-Maxwell-Axion-Horndeski theory. By using holographic duality, we study
the entanglement measures, holographic entanglement entropy (HEE) and
entanglement wedge cross-section (EWCS), and transport coefficients, for this
model and analyze their dependence on free parameters which we classify into
action parameter, observable parameters and axion factor. We find contrasting
behaviors between HEE and EWCS with respect to observable parameters (charge
and temperature), and the axion factor, indicating that they capture different
types of quantum correlations. We also find that HEE exhibits positive
correlation with both charge and thermal excitations, whereas EWCS exhibits a
negative correlation with charge-related conductivities and thermal
fluctuations. Furthermore, we find that the Horndenski coupling term, as the
modification to standard gravity theory, does not change the qualitative
behaviors of the conductivities and the entanglement measures.
|
[
{
"created": "Thu, 2 Nov 2023 12:11:09 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Nov 2023 13:26:44 GMT",
"version": "v2"
}
] |
2023-11-10
|
[
[
"Li",
"Mu-Jing",
""
],
[
"Chen",
"Chong-Ye",
""
],
[
"Niu",
"Chao",
""
],
[
"Zhang",
"Cheng-Yong",
""
],
[
"Liu",
"Peng",
""
]
] |
We present a comprehensive study exploring the relationship between transport properties and measures of quantum entanglement in the Einstein-Maxwell-Axion-Horndeski theory. By using holographic duality, we study the entanglement measures, holographic entanglement entropy (HEE) and entanglement wedge cross-section (EWCS), and transport coefficients, for this model and analyze their dependence on free parameters which we classify into action parameter, observable parameters and axion factor. We find contrasting behaviors between HEE and EWCS with respect to observable parameters (charge and temperature), and the axion factor, indicating that they capture different types of quantum correlations. We also find that HEE exhibits positive correlation with both charge and thermal excitations, whereas EWCS exhibits a negative correlation with charge-related conductivities and thermal fluctuations. Furthermore, we find that the Horndenski coupling term, as the modification to standard gravity theory, does not change the qualitative behaviors of the conductivities and the entanglement measures.
| 9.602726
| 8.893733
| 9.903676
| 8.287187
| 8.769578
| 9.755213
| 8.991814
| 8.590131
| 8.118168
| 10.463922
| 8.583089
| 8.452907
| 8.981189
| 8.456986
| 8.643743
| 8.709426
| 8.782082
| 8.470664
| 8.684261
| 9.164865
| 8.426969
|
2406.14708
|
C\'esar Fosco
|
C. D. Fosco and G. Hansen
|
Fermionic dynamical Casimir effect: Magnus expansion
|
18 pages, 1 figure, LaTeX
| null | null | null |
hep-th quant-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We study pair creation out of the vacuum, for a system consisting of a
massive Dirac field in $1+1$ dimensions, contained between a pair of perfectly
reflecting boundaries, one of them oscillating. After analyzing some general
properties of the vacuum-decay process, we evaluate the corresponding
transition amplitude in a Magnus expansion of the S-matrix. We show how this
yields, besides the single-pair creation amplitude, multipair ones, as well as
corrections to the single pair amplitude.
We also apply it to obtain an approximate, yet explicitly unitary expression
for the Bogoliubov transformation between the in and out Fock spaces.
|
[
{
"created": "Thu, 20 Jun 2024 20:03:32 GMT",
"version": "v1"
}
] |
2024-06-24
|
[
[
"Fosco",
"C. D.",
""
],
[
"Hansen",
"G.",
""
]
] |
We study pair creation out of the vacuum, for a system consisting of a massive Dirac field in $1+1$ dimensions, contained between a pair of perfectly reflecting boundaries, one of them oscillating. After analyzing some general properties of the vacuum-decay process, we evaluate the corresponding transition amplitude in a Magnus expansion of the S-matrix. We show how this yields, besides the single-pair creation amplitude, multipair ones, as well as corrections to the single pair amplitude. We also apply it to obtain an approximate, yet explicitly unitary expression for the Bogoliubov transformation between the in and out Fock spaces.
| 9.428638
| 9.023542
| 9.690292
| 8.704759
| 10.205892
| 9.882957
| 8.051201
| 9.309581
| 8.76615
| 10.422923
| 8.922674
| 9.256269
| 9.296682
| 9.102946
| 9.292607
| 9.202415
| 9.258604
| 9.38267
| 9.457144
| 9.301079
| 9.066437
|
2104.12352
|
Mithat Unsal
|
Mithat \"Unsal
|
Graded Hilbert spaces, quantum distillation and connecting SQCD to QCD
|
99 pages, 15 figures
| null |
10.1007/JHEP03(2022)119
| null |
hep-th hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The dimension of the Hilbert space of QFT scales exponentially with the
volume of the space in which the theory lives, yet in supersymmetric theories,
one can define a graded dimension (such as the supersymmetric index) that
counts just the number of bosonic minus fermionic ground states. Can we make
this observation useful in non-supersymmetric QFTs in four dimensions? In this
work, we construct symmetry graded state sums for a variety of
non-supersymmetric theories. Among the theories we consider is one that is
remarkably close to QCD: Yang--Mills theory with $N_f = N_c$ fundamental Dirac
fermions and one adjoint Weyl fermion, QCD(F/adj). This theory can be obtained
from SQCD by decoupling scalars and carry exactly the same anomalies. Despite
the existence of fundamental fermions, the theory possess an exact 0-form
color-flavor center (CFC) symmetry for a particular grading/twist under which
Polyakov loop is a genuine order parameters. By a two-loop analysis, we prove
that CFC-symmetry remains unbroken at small $\beta $ due to grading. Chiral
symmetry is spontaneously broken within the domain of validity of semi-classics
on $\mathbb R^3 \times S^1$ in a pattern identical to $N_f=N_c$ SQCD on
$\mathbb R^4$ and the two regimes are adiabatically connected. The vacuum
structures of the theory on $\mathbb R^4$ and $\mathbb R^3 \times S^1$ are
controlled by the same mixed 't Hooft anomaly condition, implying a remarkable
persistent order.
|
[
{
"created": "Mon, 26 Apr 2021 05:27:16 GMT",
"version": "v1"
}
] |
2022-04-13
|
[
[
"Ünsal",
"Mithat",
""
]
] |
The dimension of the Hilbert space of QFT scales exponentially with the volume of the space in which the theory lives, yet in supersymmetric theories, one can define a graded dimension (such as the supersymmetric index) that counts just the number of bosonic minus fermionic ground states. Can we make this observation useful in non-supersymmetric QFTs in four dimensions? In this work, we construct symmetry graded state sums for a variety of non-supersymmetric theories. Among the theories we consider is one that is remarkably close to QCD: Yang--Mills theory with $N_f = N_c$ fundamental Dirac fermions and one adjoint Weyl fermion, QCD(F/adj). This theory can be obtained from SQCD by decoupling scalars and carry exactly the same anomalies. Despite the existence of fundamental fermions, the theory possess an exact 0-form color-flavor center (CFC) symmetry for a particular grading/twist under which Polyakov loop is a genuine order parameters. By a two-loop analysis, we prove that CFC-symmetry remains unbroken at small $\beta $ due to grading. Chiral symmetry is spontaneously broken within the domain of validity of semi-classics on $\mathbb R^3 \times S^1$ in a pattern identical to $N_f=N_c$ SQCD on $\mathbb R^4$ and the two regimes are adiabatically connected. The vacuum structures of the theory on $\mathbb R^4$ and $\mathbb R^3 \times S^1$ are controlled by the same mixed 't Hooft anomaly condition, implying a remarkable persistent order.
| 10.406644
| 10.209513
| 11.00355
| 9.825141
| 10.500702
| 10.282674
| 10.234189
| 10.137387
| 9.872244
| 11.114585
| 10.215529
| 9.953422
| 10.264007
| 9.786062
| 10.254011
| 10.015621
| 9.945288
| 10.020922
| 9.819341
| 10.211621
| 9.8885
|
hep-th/0106119
|
George Pronko
|
I. Antoniou, G.P. Pronko
|
On the Hamiltonian Description of Fluid Mechanics
|
24 pages, typos corrected, references and comment added
| null | null | null |
hep-th
| null |
We suggest the Hamiltonian approach for fluid mechanics based on the
dynamics, formulated in terms of Lagrangian variables. The construction of the
canonical variables of the fluid sheds a light of the origin of Clebsh
variables, introduced in the previous century. The developed formalism permits
to relate the circulation conservation (Tompson theorem) with the invariance of
the theory with respect to special diffiomorphisms and establish also the new
conservation laws. We discuss also the difference of the Eulerian and
Lagrangian description, pointing out the incompleteness of the first. The
constructed formalism is also applicable for ideal plasma. We conclude with
several remarks on the quantization of the fluid.
|
[
{
"created": "Thu, 14 Jun 2001 13:24:32 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Mar 2002 12:45:01 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Antoniou",
"I.",
""
],
[
"Pronko",
"G. P.",
""
]
] |
We suggest the Hamiltonian approach for fluid mechanics based on the dynamics, formulated in terms of Lagrangian variables. The construction of the canonical variables of the fluid sheds a light of the origin of Clebsh variables, introduced in the previous century. The developed formalism permits to relate the circulation conservation (Tompson theorem) with the invariance of the theory with respect to special diffiomorphisms and establish also the new conservation laws. We discuss also the difference of the Eulerian and Lagrangian description, pointing out the incompleteness of the first. The constructed formalism is also applicable for ideal plasma. We conclude with several remarks on the quantization of the fluid.
| 15.927855
| 15.205193
| 14.862168
| 13.965277
| 15.723685
| 14.183818
| 15.267325
| 15.143112
| 14.969979
| 16.230045
| 13.97251
| 14.088532
| 14.103061
| 13.91592
| 14.140423
| 13.896795
| 14.124341
| 13.917663
| 14.040632
| 14.601438
| 13.815805
|
hep-th/0111125
|
Erhard Seiler
|
Erhard Seiler
|
Some more remarks on the Witten-Veneziano formula for the $\eta'$ mass
|
9 pages
|
Phys.Lett. B525 (2002) 355-359
|
10.1016/S0370-2693(01)01469-1
|
MPI-PhT/2001-46
|
hep-th
| null |
We discuss some subtleties in connection with the new attempts to provide a
firm basis for ths Witten-Veneziano formula.
|
[
{
"created": "Wed, 14 Nov 2001 14:21:56 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Seiler",
"Erhard",
""
]
] |
We discuss some subtleties in connection with the new attempts to provide a firm basis for ths Witten-Veneziano formula.
| 32.815102
| 20.616926
| 23.000113
| 19.94009
| 18.693069
| 19.685034
| 20.891371
| 23.152334
| 18.259674
| 21.810884
| 21.897142
| 24.453238
| 23.789879
| 22.478216
| 24.334185
| 24.290779
| 22.96253
| 24.461742
| 22.250839
| 23.430285
| 23.598366
|
1804.04944
|
Peter Millington
|
Bjorn Garbrecht, Peter Millington
|
Fluctuations about the Fubini-Lipatov instanton for false vacuum decay
in classically scale invariant models
|
26 pages, 9 figures, revtex format; to match published version
|
Phys. Rev. D 98, 016001 (2018)
|
10.1103/PhysRevD.98.016001
|
TUM-HEP-1136-18
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
For a scalar theory whose classical scale invariance is broken by quantum
effects, we compute self-consistent bounce solutions and Green's functions.
Deriving analytic expressions, we find that the latter are similar to the
Green's functions in the archetypal thin-wall model for tunneling between
quasi-degenerate vacua. The eigenmodes and eigenspectra are, however, very
different. Large infrared effects from the modes of low angular momentum $j=0$
and $j=1$, which include the approximate dilatational modes for $j=0$, are
dealt with by a resummation of one-loop effects. For a parametric example, this
resummation is carried out numerically.
|
[
{
"created": "Fri, 13 Apr 2018 13:49:51 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Jul 2018 15:36:48 GMT",
"version": "v2"
}
] |
2018-07-03
|
[
[
"Garbrecht",
"Bjorn",
""
],
[
"Millington",
"Peter",
""
]
] |
For a scalar theory whose classical scale invariance is broken by quantum effects, we compute self-consistent bounce solutions and Green's functions. Deriving analytic expressions, we find that the latter are similar to the Green's functions in the archetypal thin-wall model for tunneling between quasi-degenerate vacua. The eigenmodes and eigenspectra are, however, very different. Large infrared effects from the modes of low angular momentum $j=0$ and $j=1$, which include the approximate dilatational modes for $j=0$, are dealt with by a resummation of one-loop effects. For a parametric example, this resummation is carried out numerically.
| 13.116714
| 12.007442
| 12.193251
| 12.097408
| 13.114992
| 11.365846
| 11.9188
| 12.043211
| 11.398151
| 13.013644
| 11.981907
| 11.471565
| 11.366577
| 11.096196
| 11.465333
| 11.485152
| 11.473431
| 11.689401
| 11.12616
| 11.42816
| 11.48879
|
hep-th/9302105
|
Jeffrey Rabin
|
Jeffrey M. Rabin
|
Super Elliptic Curves
|
27 pages
|
J. Geom. and Phys. 15 (1995) 252-280
|
10.1016/0393-0440(94)00012-S
| null |
hep-th alg-geom math.AG
| null |
A detailed study is made of super elliptic curves, namely super Riemann
surfaces of genus one considered as algebraic varieties, particularly their
relation with their Picard groups. This is the simplest setting in which to
study the geometric consequences of the fact that certain cohomology groups of
super Riemann surfaces are not freely generated modules. The divisor theory of
Rosly, Schwarz, and Voronov gives a map from a supertorus to its Picard group,
but this map is a projection, not an isomorphism as it is for ordinary tori.
The geometric realization of the addition law on Pic via intersections of the
supertorus with superlines in projective space is described. The isomorphisms
of Pic with the Jacobian and the divisor class group are verified. All possible
isogenies, or surjective holomorphic maps between supertori, are determined and
shown to induce homomorphisms of the Picard groups. Finally, the solutions to
the new super Kadomtsev-Petviashvili (super KP) hierarchy of Mulase-Rabin which
arise from super elliptic curves via the Krichever construction are exhibited.
|
[
{
"created": "Mon, 22 Feb 1993 18:10:50 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Rabin",
"Jeffrey M.",
""
]
] |
A detailed study is made of super elliptic curves, namely super Riemann surfaces of genus one considered as algebraic varieties, particularly their relation with their Picard groups. This is the simplest setting in which to study the geometric consequences of the fact that certain cohomology groups of super Riemann surfaces are not freely generated modules. The divisor theory of Rosly, Schwarz, and Voronov gives a map from a supertorus to its Picard group, but this map is a projection, not an isomorphism as it is for ordinary tori. The geometric realization of the addition law on Pic via intersections of the supertorus with superlines in projective space is described. The isomorphisms of Pic with the Jacobian and the divisor class group are verified. All possible isogenies, or surjective holomorphic maps between supertori, are determined and shown to induce homomorphisms of the Picard groups. Finally, the solutions to the new super Kadomtsev-Petviashvili (super KP) hierarchy of Mulase-Rabin which arise from super elliptic curves via the Krichever construction are exhibited.
| 9.476471
| 10.251425
| 10.406596
| 9.070914
| 10.738003
| 10.288802
| 9.879025
| 8.828187
| 9.088231
| 11.020187
| 9.009793
| 8.67608
| 8.953939
| 8.657792
| 8.636688
| 8.996578
| 8.750839
| 8.533569
| 8.565323
| 9.024447
| 8.681519
|
hep-th/0209026
|
Pietro Antonio Grassi
|
P.A. Grassi (YITP, Stony Brook), G. Policastro (Scuola Normale Pisa
and NYU), and P. van Nieuwenhuizen (YITP, Stony Brook)
|
The Covariant Quantum Superstring and Superparticle from their Classical
Actions
|
14 pages, harmvac
|
Phys.Lett. B553 (2003) 96-104
|
10.1016/S0370-2693(02)03185-4
|
YITP-SB-02-29
|
hep-th
| null |
We develop an approach based on the Noether method to construct nilpotent
BRST charges and BRST-invariant actions. We apply this approach first to the
holomorphic part of the flat-space covariant superstring, and we find that the
ghosts b, c_z which we introduced by hand in our earlier work, are needed to
fix gauge symmetries of the ghost action. Then we apply this technique to the
superparticle and determine its cohomology. Finally, we extend our results to
the combined left- and right-moving sectors of the superstring.
|
[
{
"created": "Tue, 3 Sep 2002 14:36:38 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Grassi",
"P. A.",
"",
"YITP, Stony Brook"
],
[
"Policastro",
"G.",
"",
"Scuola Normale Pisa\n and NYU"
],
[
"van Nieuwenhuizen",
"P.",
"",
"YITP, Stony Brook"
]
] |
We develop an approach based on the Noether method to construct nilpotent BRST charges and BRST-invariant actions. We apply this approach first to the holomorphic part of the flat-space covariant superstring, and we find that the ghosts b, c_z which we introduced by hand in our earlier work, are needed to fix gauge symmetries of the ghost action. Then we apply this technique to the superparticle and determine its cohomology. Finally, we extend our results to the combined left- and right-moving sectors of the superstring.
| 12.406475
| 12.155272
| 13.788543
| 10.987535
| 11.652318
| 12.540693
| 11.987833
| 10.901899
| 10.841499
| 12.977099
| 10.41775
| 11.263089
| 12.090448
| 11.18746
| 10.965515
| 11.007653
| 10.83014
| 10.906649
| 10.974904
| 11.998527
| 10.607512
|
1007.3417
|
Michael Osipov
|
V. Rubakov, M. Osipov (Moscow, INR)
|
Scalar tilt from broken conformal invariance
| null |
JETP Lett.93:52-55,2011
|
10.1134/S002136401102010X
|
INR-TH-2010-42
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Within recently proposed scenario which explains flatness of the spectrum of
scalar cosmological perturbations by a combination of conformal and global
symmetries, we discuss the effect of weak breaking of conformal invariance. We
find that the scalar power spectrum obtains a small tilt which depends on both
the strength of conformal symmetry breaking and the law of evolution of the
scale factor.
|
[
{
"created": "Tue, 20 Jul 2010 13:29:05 GMT",
"version": "v1"
}
] |
2011-03-31
|
[
[
"Rubakov",
"V.",
"",
"Moscow, INR"
],
[
"Osipov",
"M.",
"",
"Moscow, INR"
]
] |
Within recently proposed scenario which explains flatness of the spectrum of scalar cosmological perturbations by a combination of conformal and global symmetries, we discuss the effect of weak breaking of conformal invariance. We find that the scalar power spectrum obtains a small tilt which depends on both the strength of conformal symmetry breaking and the law of evolution of the scale factor.
| 10.572599
| 8.088422
| 7.923411
| 7.564726
| 8.063824
| 8.417105
| 9.052984
| 7.459888
| 8.450818
| 8.692802
| 8.47071
| 8.457994
| 8.240273
| 8.111922
| 8.18157
| 8.197945
| 8.224348
| 8.244202
| 8.266048
| 8.663807
| 8.351701
|
2111.10720
|
Seok Kim
|
Sunjin Choi, Saebyeok Jeong, Seok Kim, Eunwoo Lee
|
Exact QFT duals of AdS black holes
|
40 pages, 6 figures
| null | null |
KIAS-P21054, SNUTP21-002
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct large $N$ saddle points of the matrix model for the
$\mathcal{N}=4$ Yang-Mills index dual to the BPS black holes in $AdS_5\times
S^5$, in two different setups. When the two complex chemical potentials for the
angular momenta are collinear, we find linear eigenvalue distributions which
solve the large $N$ saddle point equation. When the chemical potentials are not
collinear, we find novel solutions given by areal eigenvalue distributions
after slightly reformulating the saddle point problem. We also construct a
class of multi-cut saddle points, showing that they sometimes admit nontrivial
filling fractions. As a byproduct, we find that the Bethe ansatz equation
emerges from our saddle point equation.
|
[
{
"created": "Sun, 21 Nov 2021 02:57:04 GMT",
"version": "v1"
}
] |
2021-11-23
|
[
[
"Choi",
"Sunjin",
""
],
[
"Jeong",
"Saebyeok",
""
],
[
"Kim",
"Seok",
""
],
[
"Lee",
"Eunwoo",
""
]
] |
We construct large $N$ saddle points of the matrix model for the $\mathcal{N}=4$ Yang-Mills index dual to the BPS black holes in $AdS_5\times S^5$, in two different setups. When the two complex chemical potentials for the angular momenta are collinear, we find linear eigenvalue distributions which solve the large $N$ saddle point equation. When the chemical potentials are not collinear, we find novel solutions given by areal eigenvalue distributions after slightly reformulating the saddle point problem. We also construct a class of multi-cut saddle points, showing that they sometimes admit nontrivial filling fractions. As a byproduct, we find that the Bethe ansatz equation emerges from our saddle point equation.
| 9.408464
| 9.278317
| 10.994127
| 9.776743
| 9.605813
| 8.524543
| 9.005864
| 9.011271
| 9.657941
| 12.318459
| 9.651833
| 9.137321
| 10.066098
| 9.172384
| 9.402569
| 9.348219
| 8.959289
| 8.919479
| 9.518573
| 10.258281
| 8.953045
|
hep-th/0206130
| null |
John C. Baez
|
Higher Yang-Mills Theory
|
20 pages LaTeX with XY-pic figures
| null | null | null |
hep-th
| null |
Electromagnetism can be generalized to Yang-Mills theory by replacing the
group U(1)$ by a nonabelian Lie group. This raises the question of whether one
can similarly generalize 2-form electromagnetism to a kind of
"higher-dimensional Yang-Mills theory". It turns out that to do this, one
should replace the Lie group by a "Lie 2-group", which is a category C where
the set of objects and the set of morphisms are Lie groups, and the source,
target, identity and composition maps are homomorphisms. We show that this is
the same as a "Lie crossed module": a pair of Lie groups G,H with a
homomorphism t: H -> G and an action of G on H satisfying two compatibility
conditions. Following Breen and Messing's ideas on the geometry of nonabelian
gerbes, one can define "principal 2-bundles" for any Lie 2-group C and do gauge
theory in this new context. Here we only consider trivial 2-bundles, where a
connection consists of a Lie(G)-valued 1-form together with an Lie(H)-valued
2-form, and its curvature consists of a Lie(G)-valued 2-form together with a
Lie(H)-valued 3-form. We generalize the Yang-Mills action for this sort of
connection, and use this to derive "higher Yang-Mills equations". Finally, we
show that in certain cases these equations admit self-dual solutions in five
dimensions.
|
[
{
"created": "Sat, 15 Jun 2002 22:40:02 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Jun 2002 21:16:43 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Baez",
"John C.",
""
]
] |
Electromagnetism can be generalized to Yang-Mills theory by replacing the group U(1)$ by a nonabelian Lie group. This raises the question of whether one can similarly generalize 2-form electromagnetism to a kind of "higher-dimensional Yang-Mills theory". It turns out that to do this, one should replace the Lie group by a "Lie 2-group", which is a category C where the set of objects and the set of morphisms are Lie groups, and the source, target, identity and composition maps are homomorphisms. We show that this is the same as a "Lie crossed module": a pair of Lie groups G,H with a homomorphism t: H -> G and an action of G on H satisfying two compatibility conditions. Following Breen and Messing's ideas on the geometry of nonabelian gerbes, one can define "principal 2-bundles" for any Lie 2-group C and do gauge theory in this new context. Here we only consider trivial 2-bundles, where a connection consists of a Lie(G)-valued 1-form together with an Lie(H)-valued 2-form, and its curvature consists of a Lie(G)-valued 2-form together with a Lie(H)-valued 3-form. We generalize the Yang-Mills action for this sort of connection, and use this to derive "higher Yang-Mills equations". Finally, we show that in certain cases these equations admit self-dual solutions in five dimensions.
| 4.615175
| 5.145387
| 5.041795
| 4.757702
| 5.068688
| 5.336292
| 5.189219
| 4.79391
| 4.963151
| 5.654526
| 4.628098
| 4.553379
| 4.546063
| 4.465603
| 4.57474
| 4.587162
| 4.571818
| 4.550759
| 4.686447
| 4.683269
| 4.547606
|
0704.0647
|
Andrei Linde
|
Renata Kallosh and Andrei Linde
|
Testing String Theory with CMB
|
13 pages, 2 figures
|
JCAP 0704:017,2007
|
10.1088/1475-7516/2007/04/017
|
SU-ITP-2007-4
|
hep-th astro-ph gr-qc hep-ph
| null |
Future detection/non-detection of tensor modes from inflation in CMB
observations presents a unique way to test certain features of string theory.
Current limit on the ratio of tensor to scalar perturbations, r=T/S, is r <
0.3, future detection may take place for r > 10^{-2}-10^{-3}. At present all
known string theory inflation models predict tensor modes well below the level
of detection. Therefore a possible experimental discovery of tensor modes may
present a challenge to string cosmology.
The strongest bound on r in string inflation follows from the observation
that in most of the models based on the KKLT construction, the value of the
Hubble constant H during inflation must be smaller than the gravitino mass. For
the gravitino mass in the usual range, m_{3/2} < O(1) TeV, this leads to an
extremely strong bound r < 10^{-24}. A discovery of tensor perturbations with r
> 10^{-3} would imply that the gravitinos in this class of models are
superheavy, m_{3/2} > 10^{13} GeV. This would have important implications for
particle phenomenology based on string theory.
|
[
{
"created": "Thu, 5 Apr 2007 04:42:42 GMT",
"version": "v1"
}
] |
2009-11-13
|
[
[
"Kallosh",
"Renata",
""
],
[
"Linde",
"Andrei",
""
]
] |
Future detection/non-detection of tensor modes from inflation in CMB observations presents a unique way to test certain features of string theory. Current limit on the ratio of tensor to scalar perturbations, r=T/S, is r < 0.3, future detection may take place for r > 10^{-2}-10^{-3}. At present all known string theory inflation models predict tensor modes well below the level of detection. Therefore a possible experimental discovery of tensor modes may present a challenge to string cosmology. The strongest bound on r in string inflation follows from the observation that in most of the models based on the KKLT construction, the value of the Hubble constant H during inflation must be smaller than the gravitino mass. For the gravitino mass in the usual range, m_{3/2} < O(1) TeV, this leads to an extremely strong bound r < 10^{-24}. A discovery of tensor perturbations with r > 10^{-3} would imply that the gravitinos in this class of models are superheavy, m_{3/2} > 10^{13} GeV. This would have important implications for particle phenomenology based on string theory.
| 6.034332
| 6.242792
| 6.008854
| 5.797552
| 6.436521
| 6.193006
| 6.137123
| 6.440706
| 5.897395
| 6.511957
| 6.361119
| 5.47393
| 5.766744
| 5.650847
| 5.80379
| 5.729306
| 5.65333
| 5.891889
| 5.672457
| 5.881238
| 6.063164
|
1811.09028
|
Mohsen Alishahiha
|
Mohsen Alishahiha
|
On Complexity of Jackiw-Teitelboim Gravity
|
11 pages, one figure. V2: typos corrected, refs added
| null |
10.1140/epjc/s10052-019-6891-4
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using "complexity=action" proposal we compute complexity for
Jackiw-Teitelboim gravity assuming that a UV cutoff enforces us to have a cut
off behind the horizon. We find that the resultant complexity exhibits the late
time linear growth. It is also consistent with the case where the corresponding
Jackiw-Teitelboim gravity is obtained by dimensional reduction from higher
dimensional gravities. To this work certain counter term on the cut off surface
behind horizon is needed.
|
[
{
"created": "Thu, 22 Nov 2018 05:50:25 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Dec 2018 12:06:07 GMT",
"version": "v2"
}
] |
2019-05-22
|
[
[
"Alishahiha",
"Mohsen",
""
]
] |
Using "complexity=action" proposal we compute complexity for Jackiw-Teitelboim gravity assuming that a UV cutoff enforces us to have a cut off behind the horizon. We find that the resultant complexity exhibits the late time linear growth. It is also consistent with the case where the corresponding Jackiw-Teitelboim gravity is obtained by dimensional reduction from higher dimensional gravities. To this work certain counter term on the cut off surface behind horizon is needed.
| 20.451387
| 13.003549
| 14.795381
| 11.361244
| 12.188052
| 12.445973
| 11.697221
| 12.39397
| 11.889507
| 18.142427
| 12.526445
| 13.903514
| 14.403235
| 13.303343
| 13.465368
| 13.237442
| 13.747294
| 12.915743
| 12.921893
| 15.135564
| 13.398202
|
2407.20671
|
Cesar Gomez
|
Cesar Gomez
|
Inflationary Cosmology as flow of integrable weights
|
20 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We identify the algebra of gauge invariant observables in de Sitter as the
subalgebra of the type $III_1$ factor $A_{dS}$, associated to de Sitter,
defined as the centralizer of any integrable weight on $A_{dS}$. These algebras
are for any integrable weight type $II_{\infty}$ factors admitting a crossed
product representation with respect to modular automorphisms. In this context
we define Inflationary Cosmology as the flow of integrable weights and the dual
automorphism as the flow generator. Using some basic properties of integrable
weights we show that any type $II_1$ dS algebra cannot be represented as the
$\epsilon=0$ limit ( for $\epsilon$ the slow roll parameter ) of the gauge
invariant algebra defined by any integrable weight. This strongly indicates
that the pure dS algebra defined as the $\epsilon=0$ limit is algebraically non
existent.
|
[
{
"created": "Tue, 30 Jul 2024 09:09:31 GMT",
"version": "v1"
}
] |
2024-07-31
|
[
[
"Gomez",
"Cesar",
""
]
] |
We identify the algebra of gauge invariant observables in de Sitter as the subalgebra of the type $III_1$ factor $A_{dS}$, associated to de Sitter, defined as the centralizer of any integrable weight on $A_{dS}$. These algebras are for any integrable weight type $II_{\infty}$ factors admitting a crossed product representation with respect to modular automorphisms. In this context we define Inflationary Cosmology as the flow of integrable weights and the dual automorphism as the flow generator. Using some basic properties of integrable weights we show that any type $II_1$ dS algebra cannot be represented as the $\epsilon=0$ limit ( for $\epsilon$ the slow roll parameter ) of the gauge invariant algebra defined by any integrable weight. This strongly indicates that the pure dS algebra defined as the $\epsilon=0$ limit is algebraically non existent.
| 10.439053
| 10.951453
| 12.159143
| 9.57023
| 10.062248
| 10.558319
| 10.09587
| 10.785667
| 10.449275
| 13.419576
| 10.310082
| 9.6696
| 10.596337
| 9.938707
| 10.118097
| 10.156694
| 9.90596
| 10.393626
| 10.342304
| 10.806468
| 9.732513
|
1307.4381
|
Shlomo S. Razamat
|
Shlomo S. Razamat and Brian Willett
|
Global Properties of Supersymmetric Theories and the Lens Space
|
48 pages, 1 figure, harvmac; a Mathematica notebook is included with
the paper. v2: typos corrected and references added
| null |
10.1007/s00220-014-2111-0
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the supersymmetric partition function on L(r,1)xS^1, the lens
space index, for 4d gauge theories related by supersymmetric dualities and
involving non simply-connected groups. This computation is sensitive to the
global properties of the underlying gauge group and to discrete theta angle
parameters and thus distinguishes versions of dualities differing by such. We
explicitly discuss N=1 so(N_c) Seiberg dualities and N=4 su(N_c) S-dualities.
|
[
{
"created": "Tue, 16 Jul 2013 19:14:41 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Nov 2013 19:53:26 GMT",
"version": "v2"
}
] |
2015-06-16
|
[
[
"Razamat",
"Shlomo S.",
""
],
[
"Willett",
"Brian",
""
]
] |
We compute the supersymmetric partition function on L(r,1)xS^1, the lens space index, for 4d gauge theories related by supersymmetric dualities and involving non simply-connected groups. This computation is sensitive to the global properties of the underlying gauge group and to discrete theta angle parameters and thus distinguishes versions of dualities differing by such. We explicitly discuss N=1 so(N_c) Seiberg dualities and N=4 su(N_c) S-dualities.
| 12.773611
| 12.134991
| 15.25729
| 11.317464
| 10.638161
| 11.887932
| 12.594216
| 10.477208
| 10.396273
| 16.578304
| 11.162083
| 12.032156
| 13.896876
| 11.46783
| 12.130828
| 11.927803
| 11.959621
| 11.509206
| 11.492822
| 13.5506
| 11.390138
|
1607.07912
|
Marcio Capri
|
M. A. L. Capri, D. Fiorentini, A. D. Pereira, R. F. Sobreiro, S. P.
Sorella, R. C. Terin
|
Aspects of the refined Gribov-Zwanziger action in linear covariant
gauges
|
26 pages, no figures, new references added
| null |
10.1016/j.aop.2016.10.023
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We prove the renormalizability to all orders of a refined Gribov-Zwanziger
type action in linear covariant gauges in four-dimensional Euclidean space. In
this model, the Gribov copies are taken into account by requiring that the
Faddeev-Popov operator is positive definite with respect to the transverse
component of the gauge field, a procedure which turns out to be analogous to
the restriction to the Gribov region in the Landau gauge. The model studied
here can be regarded as the first approximation of a more general
nonperturbative BRST invariant formulation of the refined Gribov-Zwanziger
action in linear covariant gauges obtained recently in [Phys. Rev. D 92, no. 4,
045039 (2015) and arXiv:1605.02610 [hep-th]]. A key ingredient of the set up
worked out in [Phys. Rev. D 92, no. 4, 045039 (2015) and arXiv:1605.02610
[hep-th]] is the introduction of a gauge invariant field configuration
$\mathbf{A}_{\mu}$ which can be expressed as an infinite non-local series in
the starting gauge field $A_\mu$. In the present case, we consider the
approximation in which only the first term of the series representing
$\mathbf{A}_{\mu}$ is considered, corresponding to a pure transverse gauge
field. The all order renormalizability of the resulting action gives thus a
strong evidence of the renormalizability of the aforementioned more general
nonperturbative BRST invariant formulation of the Gribov horizon in linear
covariant gauges.
|
[
{
"created": "Tue, 26 Jul 2016 23:01:05 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Aug 2016 00:31:11 GMT",
"version": "v2"
}
] |
2017-03-08
|
[
[
"Capri",
"M. A. L.",
""
],
[
"Fiorentini",
"D.",
""
],
[
"Pereira",
"A. D.",
""
],
[
"Sobreiro",
"R. F.",
""
],
[
"Sorella",
"S. P.",
""
],
[
"Terin",
"R. C.",
""
]
] |
We prove the renormalizability to all orders of a refined Gribov-Zwanziger type action in linear covariant gauges in four-dimensional Euclidean space. In this model, the Gribov copies are taken into account by requiring that the Faddeev-Popov operator is positive definite with respect to the transverse component of the gauge field, a procedure which turns out to be analogous to the restriction to the Gribov region in the Landau gauge. The model studied here can be regarded as the first approximation of a more general nonperturbative BRST invariant formulation of the refined Gribov-Zwanziger action in linear covariant gauges obtained recently in [Phys. Rev. D 92, no. 4, 045039 (2015) and arXiv:1605.02610 [hep-th]]. A key ingredient of the set up worked out in [Phys. Rev. D 92, no. 4, 045039 (2015) and arXiv:1605.02610 [hep-th]] is the introduction of a gauge invariant field configuration $\mathbf{A}_{\mu}$ which can be expressed as an infinite non-local series in the starting gauge field $A_\mu$. In the present case, we consider the approximation in which only the first term of the series representing $\mathbf{A}_{\mu}$ is considered, corresponding to a pure transverse gauge field. The all order renormalizability of the resulting action gives thus a strong evidence of the renormalizability of the aforementioned more general nonperturbative BRST invariant formulation of the Gribov horizon in linear covariant gauges.
| 4.076186
| 4.296596
| 4.149057
| 3.935607
| 4.236996
| 4.179011
| 4.224144
| 3.954535
| 3.952257
| 4.417843
| 3.916618
| 3.884218
| 4.028767
| 3.909351
| 3.865375
| 4.034682
| 3.963125
| 3.870651
| 3.978322
| 3.908407
| 3.901275
|
hep-th/9709146
|
Wolfgang Lerche
|
Wolfgang Lerche
|
Fayet-Iliopoulos Potentials from Four-Folds
|
23 pages, harvmac
|
JHEP 9711 (1997) 004
|
10.1088/1126-6708/1997/11/004
|
CERN-TH/97-247
|
hep-th
| null |
We show how certain non-perturbative superpotentials W, which are the
two-dimensional analogs of the Seiberg-Witten prepotential in 4d, can be
computed via geometric engineering from 4-folds. We analyze an explicit example
for which the relevant compact geometry of the 4-fold is given by $P^1$ fibered
over $P^2$. In the field theory limit, this gives an effective U(1) gauge
theory with N=(2,2) supersymmetry in two dimensions. We find that the analog of
the SW curve is a K3 surface, and that the complex FI coupling is given by the
modular parameter of this surface. The FI potential itself coincides with the
middle period of a meromorphic differential. However, it only shows up in the
effective action if a certain 4-flux is switched on, and then supersymmetry
appears to be non-perturbatively broken. This can be avoided by tuning the bare
FI coupling by hand, in which case the supersymmetric minimum naturally
corresponds to a singular K3.
|
[
{
"created": "Fri, 19 Sep 1997 14:15:54 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Lerche",
"Wolfgang",
""
]
] |
We show how certain non-perturbative superpotentials W, which are the two-dimensional analogs of the Seiberg-Witten prepotential in 4d, can be computed via geometric engineering from 4-folds. We analyze an explicit example for which the relevant compact geometry of the 4-fold is given by $P^1$ fibered over $P^2$. In the field theory limit, this gives an effective U(1) gauge theory with N=(2,2) supersymmetry in two dimensions. We find that the analog of the SW curve is a K3 surface, and that the complex FI coupling is given by the modular parameter of this surface. The FI potential itself coincides with the middle period of a meromorphic differential. However, it only shows up in the effective action if a certain 4-flux is switched on, and then supersymmetry appears to be non-perturbatively broken. This can be avoided by tuning the bare FI coupling by hand, in which case the supersymmetric minimum naturally corresponds to a singular K3.
| 8.913861
| 8.196823
| 10.516007
| 8.301545
| 8.8927
| 8.760866
| 8.744144
| 8.267696
| 8.54142
| 10.329953
| 8.74634
| 8.576555
| 9.125028
| 8.732946
| 8.71604
| 8.54847
| 8.493783
| 8.561553
| 8.776905
| 9.182546
| 8.633028
|
1801.07164
|
Aram Saharian
|
A. A. Saharian, T. A. Petrosyan, S. V. Abajyan, B. B. Nersisyan
|
Scalar Casimir effect in a linearly expanding universe
|
21 pages
|
International Journal of Geometric Methods in Modern Physics 15
(2018) 1850177
|
10.1142/S0219887818501773
| null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate quantum vacuum effects for a massive scalar field, induced by
two planar boundaries in background of a linearly expanding spatially flat
Friedmann-Robertson-Walker spacetime for an arbitrary number of spatial
dimensions. For the Robin boundary conditions and for general curvature
coupling parameter, a complete set of mode functions is presented and the
related Hadamard function is evaluated. The results are specified for the most
important special cases of the adiabatic and conformal vacuum states. The
vacuum expectation values of the field squared and of the energy-momentum
tensor are investigated for a massive conformally coupled field. The vacuum
energy-momentum tensor, in addition to the diagonal components, has nonzero
off-diagonal component describing energy flux along the direction perpendicular
to the plates. The influence of the gravitational field on the local
characteristics of the vacuum state is essential at distances from the
boundaries larger than the curvature radius of the background spacetime. In
contrast to the Minkowskian bulk, at large distances the boundary-induced
expectation values follow as power law for both massless and massive fields.
Another difference is that the Casimir forces acting on the separate plates do
not coincide if the corresponding Robin coefficients are different. At large
separations between the plates the decay of the forces is power law. We show
that during the cosmological expansion the forces may change the sign.
|
[
{
"created": "Thu, 18 Jan 2018 19:10:26 GMT",
"version": "v1"
}
] |
2020-02-18
|
[
[
"Saharian",
"A. A.",
""
],
[
"Petrosyan",
"T. A.",
""
],
[
"Abajyan",
"S. V.",
""
],
[
"Nersisyan",
"B. B.",
""
]
] |
We investigate quantum vacuum effects for a massive scalar field, induced by two planar boundaries in background of a linearly expanding spatially flat Friedmann-Robertson-Walker spacetime for an arbitrary number of spatial dimensions. For the Robin boundary conditions and for general curvature coupling parameter, a complete set of mode functions is presented and the related Hadamard function is evaluated. The results are specified for the most important special cases of the adiabatic and conformal vacuum states. The vacuum expectation values of the field squared and of the energy-momentum tensor are investigated for a massive conformally coupled field. The vacuum energy-momentum tensor, in addition to the diagonal components, has nonzero off-diagonal component describing energy flux along the direction perpendicular to the plates. The influence of the gravitational field on the local characteristics of the vacuum state is essential at distances from the boundaries larger than the curvature radius of the background spacetime. In contrast to the Minkowskian bulk, at large distances the boundary-induced expectation values follow as power law for both massless and massive fields. Another difference is that the Casimir forces acting on the separate plates do not coincide if the corresponding Robin coefficients are different. At large separations between the plates the decay of the forces is power law. We show that during the cosmological expansion the forces may change the sign.
| 7.287638
| 5.342725
| 7.83181
| 5.726377
| 5.427039
| 5.08049
| 5.960148
| 5.328963
| 5.639661
| 7.693472
| 5.440697
| 6.420953
| 7.353724
| 6.650716
| 6.507958
| 6.58653
| 6.503164
| 6.405138
| 6.673468
| 7.171727
| 6.708678
|
0812.1929
|
Stephanie Stuckey
|
Mark Hindmarsh, Stephanie Stuckey, and Neil Bevis
|
Abelian Higgs Cosmic Strings: Small Scale Structure and Loops
|
16 pages, 17 figures
|
Phys.Rev.D79:123504,2009
|
10.1103/PhysRevD.79.123504
|
IMPERIAL/TP/08/NB/03
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Classical lattice simulations of the Abelian Higgs model are used to
investigate small scale structure and loop distributions in cosmic string
networks. Use of the field theory ensures that the small-scale physics is
captured correctly. The results confirm analytic predictions of Polchinski &
Rocha [1] for the two-point correlation function of the string tangent vector,
with a power law from length scales of order the string core width up to
horizon scale with evidence to suggest that the small scale structure builds up
from small scales. An analysis of the size distribution of string loops gives a
very low number density, of order 1 per horizon volume, in contrast with
Nambu-Goto simulations. Further, our loop distribution function does not
support the detailed analytic predictions for loop production derived by Dubath
et al. [2]. Better agreement to our data is found with a model based on loop
fragmentation [3], coupled with a constant rate of energy loss into massive
radiation. Our results show a strong energy loss mechanism which allows the
string network to scale without gravitational radiation, but which is not due
to the production of string width loops. From evidence of small scale structure
we argue a partial explanation for the scale separation problem of how energy
in the very low frequency modes of the string network is transformed into the
very high frequency modes of gauge and Higgs radiation. We propose a picture of
string network evolution which reconciles the apparent differences between
Nambu-Goto and field theory simulations.
|
[
{
"created": "Wed, 10 Dec 2008 15:03:59 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Dec 2008 15:52:49 GMT",
"version": "v2"
}
] |
2011-06-02
|
[
[
"Hindmarsh",
"Mark",
""
],
[
"Stuckey",
"Stephanie",
""
],
[
"Bevis",
"Neil",
""
]
] |
Classical lattice simulations of the Abelian Higgs model are used to investigate small scale structure and loop distributions in cosmic string networks. Use of the field theory ensures that the small-scale physics is captured correctly. The results confirm analytic predictions of Polchinski & Rocha [1] for the two-point correlation function of the string tangent vector, with a power law from length scales of order the string core width up to horizon scale with evidence to suggest that the small scale structure builds up from small scales. An analysis of the size distribution of string loops gives a very low number density, of order 1 per horizon volume, in contrast with Nambu-Goto simulations. Further, our loop distribution function does not support the detailed analytic predictions for loop production derived by Dubath et al. [2]. Better agreement to our data is found with a model based on loop fragmentation [3], coupled with a constant rate of energy loss into massive radiation. Our results show a strong energy loss mechanism which allows the string network to scale without gravitational radiation, but which is not due to the production of string width loops. From evidence of small scale structure we argue a partial explanation for the scale separation problem of how energy in the very low frequency modes of the string network is transformed into the very high frequency modes of gauge and Higgs radiation. We propose a picture of string network evolution which reconciles the apparent differences between Nambu-Goto and field theory simulations.
| 12.320544
| 15.97631
| 13.125831
| 12.418801
| 14.991988
| 17.311625
| 15.009714
| 14.038131
| 13.155087
| 14.836243
| 13.560398
| 12.909484
| 12.494573
| 11.971964
| 12.832938
| 12.265277
| 12.668798
| 12.523746
| 11.923021
| 12.238316
| 11.943561
|
hep-th/0404258
|
Dmitri Antonov
|
Dmitri Antonov, Dietmar Ebert (Humboldt University, Berlin)
|
Confinement in the Abelian-Higgs-type theories: string picture and field
correlators
|
17 pages, no figures, REVTeX 4; Invited contribution to the
collection of articles devoted to the 70th birthday of Yu.A. Simonov
|
Phys.Atom.Nucl. 68 (2005) 558-566; Yad.Fiz. 68 (2005) 588-596
|
10.1134/1.1903085
|
HU-EP-04/25
|
hep-th
| null |
Field correlators and the string representation are used as two complementary
approaches for the description of confinement in the SU(N)-inspired dual
Abelian-Higgs-type model. In the London limit of the simplest, SU(2)-inspired,
model, bilocal electric field-strength correlators have been derived with
accounting for the contributions to these averages produced by closed dual
strings. The Debye screening in the plasma of such strings yields a novel
long-range interaction between points lying on the contour of the Wilson loop.
This interaction generates a Luescher-type term, even when one restrics oneself
to the minimal surface, as it is usually done in the bilocal approximation to
the stochastic vacuum model. Beyond the London limit, it has been shown that a
modified interaction appears, which becomes reduced to the standard Yukawa one
in the London limit. Finally, a string representation of the SU(N)-inspired
model with the theta-term, in the London limit, can be constructed.
|
[
{
"created": "Fri, 30 Apr 2004 16:14:28 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Antonov",
"Dmitri",
"",
"Humboldt University, Berlin"
],
[
"Ebert",
"Dietmar",
"",
"Humboldt University, Berlin"
]
] |
Field correlators and the string representation are used as two complementary approaches for the description of confinement in the SU(N)-inspired dual Abelian-Higgs-type model. In the London limit of the simplest, SU(2)-inspired, model, bilocal electric field-strength correlators have been derived with accounting for the contributions to these averages produced by closed dual strings. The Debye screening in the plasma of such strings yields a novel long-range interaction between points lying on the contour of the Wilson loop. This interaction generates a Luescher-type term, even when one restrics oneself to the minimal surface, as it is usually done in the bilocal approximation to the stochastic vacuum model. Beyond the London limit, it has been shown that a modified interaction appears, which becomes reduced to the standard Yukawa one in the London limit. Finally, a string representation of the SU(N)-inspired model with the theta-term, in the London limit, can be constructed.
| 17.000029
| 15.324939
| 15.702597
| 14.349531
| 15.096911
| 15.387181
| 15.395983
| 14.321519
| 13.550787
| 15.981994
| 15.331196
| 15.798905
| 15.569066
| 15.460434
| 15.711589
| 16.177671
| 15.327168
| 15.524053
| 15.488497
| 15.939481
| 15.353867
|
hep-th/9712054
|
Takahiro Kubota
|
Takahiro Kubota and Naoto Yokoi
|
Renormalization Group Flow near the Superconformal Points in N=2
Supersymmetric Gauge Theories
|
16 pages, latex, no figure, some references added
|
Prog.Theor.Phys. 100 (1998) 423-436
|
10.1143/PTP.100.423
|
OU-HET 285
|
hep-th
| null |
The behavior of the beta-function of the low-energy effective coupling in the
N=2 supersymmetric SU(2) QCD with several massive matter hypermultiplets and in
the SU(3) Yang-Mills theory is determined near the superconformal points in the
moduli space. The renormalization group flow is unambiguously fixed by looking
at limited types of deformation near the superconformal points. It is pointed
out that the scaling dimension of the beta-function is controlled by the
scaling behavior of moduli parameters and the relation between them is
explicitly worked out. Our scaling dimensions of the beta-functions are
consistent in part with the results obtained recently by Bilal and Ferrari in a
different method for the SU(2) QCD.
|
[
{
"created": "Fri, 5 Dec 1997 07:02:05 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Dec 1997 08:36:39 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Kubota",
"Takahiro",
""
],
[
"Yokoi",
"Naoto",
""
]
] |
The behavior of the beta-function of the low-energy effective coupling in the N=2 supersymmetric SU(2) QCD with several massive matter hypermultiplets and in the SU(3) Yang-Mills theory is determined near the superconformal points in the moduli space. The renormalization group flow is unambiguously fixed by looking at limited types of deformation near the superconformal points. It is pointed out that the scaling dimension of the beta-function is controlled by the scaling behavior of moduli parameters and the relation between them is explicitly worked out. Our scaling dimensions of the beta-functions are consistent in part with the results obtained recently by Bilal and Ferrari in a different method for the SU(2) QCD.
| 8.720265
| 8.551325
| 9.317217
| 7.849863
| 8.418649
| 8.001949
| 8.152078
| 8.237459
| 8.156989
| 8.968776
| 7.963267
| 7.615769
| 8.342731
| 7.75806
| 7.611594
| 7.876788
| 7.683152
| 7.819344
| 7.801097
| 8.474928
| 7.853261
|
hep-th/0401102
|
Masato Arai
|
Masato Arai, Muneto Nitta and Norisuke Sakai
|
Massive Hyper-Kahler Sigma Models and BPS Domain Walls
|
16 pages, 1 figure, contribution to the Proceedings of the
International Conference on "Symmetry Methods in Physics (SYM-PHYS10)" held
at Yerevan, Armenia, 13-19 Aug. 2003
|
Phys.Atom.Nucl. 68 (2005) 1634; Yad.Fiz. 68 (2005) 1698-1706
|
10.1134/1.2121909
| null |
hep-th
| null |
With the non-Abelian Hyper-Kahler quotient by U(M) and SU(M) gauge groups, we
give the massive Hyper-Kahler sigma models that are not toric in the N=1
superfield formalism. The U(M) quotient gives N!/[M! (N-M)!] (N is a number of
flavors) discrete vacua that may allow various types of domain walls, whereas
the SU(M) quotient gives no discrete vacua. We derive BPS domain wall solution
in the case of N=2 and M=1 in the U(M) quotient model.
|
[
{
"created": "Thu, 15 Jan 2004 08:41:10 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Arai",
"Masato",
""
],
[
"Nitta",
"Muneto",
""
],
[
"Sakai",
"Norisuke",
""
]
] |
With the non-Abelian Hyper-Kahler quotient by U(M) and SU(M) gauge groups, we give the massive Hyper-Kahler sigma models that are not toric in the N=1 superfield formalism. The U(M) quotient gives N!/[M! (N-M)!] (N is a number of flavors) discrete vacua that may allow various types of domain walls, whereas the SU(M) quotient gives no discrete vacua. We derive BPS domain wall solution in the case of N=2 and M=1 in the U(M) quotient model.
| 10.475032
| 9.979428
| 10.716215
| 9.296905
| 9.028477
| 9.434513
| 9.667467
| 9.101684
| 8.970645
| 13.149854
| 9.566708
| 9.554492
| 10.32772
| 9.667511
| 9.946786
| 9.653564
| 10.099185
| 9.294108
| 9.617667
| 9.340997
| 9.589753
|
2105.09528
|
Urjit A. Yajnik
|
R. B. MacKenzie, M. B. Paranjape and U. A. Yajnik
|
Ferromagnetic instability in PAAI in the sky
|
9 pages, 1 figure, Talk at the 11th International Symposium "Quantum
Theory and Symmetries" (July 1st to 5th, 2019, CRM, Univ. of Montreal). arXiv
admin note: substantial text overlap with arXiv:2010.10034, arXiv:1901.00995
|
M. B. Paranjape et al. (eds.), Quantum Theory and Symmetries, CRM
Series in Mathematical Physics, Springer Nature Switzerland AG 2021
|
10.1007/978-3-030-55777-5_45
| null |
hep-th astro-ph.CO cond-mat.str-el hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study an idealised plasma of fermions, coupled through an abelian gauge
force $U(1)_X$, and which is asymmetric in that the masses of the oppositely
charged species are greatly unequal. The system is dubbed PAAI, plasma
asym\'etrique, ab\'elien et id\'ealis\'e. It is argued that due to the
ferromagnetic instability that arises, the ground state gives rise to a complex
of domain walls. This complex being held together by stresses much stronger
than cosmic gravity, does not evolve with the scale factor and along with the
heavier oppositely charged partners simulates the required features of Dark
Energy with mass scale for the lighter fermions in the micro-eV to nano-eV
range. Further, residual $X$-magnetic fields through mixture with standard
magnetic fields, can provide the seed for cosmic-scale magnetic fields. Thus
the scenario can explain several cosmological puzzles including Dark Energy.
|
[
{
"created": "Thu, 20 May 2021 05:38:20 GMT",
"version": "v1"
}
] |
2021-05-21
|
[
[
"MacKenzie",
"R. B.",
""
],
[
"Paranjape",
"M. B.",
""
],
[
"Yajnik",
"U. A.",
""
]
] |
We study an idealised plasma of fermions, coupled through an abelian gauge force $U(1)_X$, and which is asymmetric in that the masses of the oppositely charged species are greatly unequal. The system is dubbed PAAI, plasma asym\'etrique, ab\'elien et id\'ealis\'e. It is argued that due to the ferromagnetic instability that arises, the ground state gives rise to a complex of domain walls. This complex being held together by stresses much stronger than cosmic gravity, does not evolve with the scale factor and along with the heavier oppositely charged partners simulates the required features of Dark Energy with mass scale for the lighter fermions in the micro-eV to nano-eV range. Further, residual $X$-magnetic fields through mixture with standard magnetic fields, can provide the seed for cosmic-scale magnetic fields. Thus the scenario can explain several cosmological puzzles including Dark Energy.
| 19.076036
| 22.5797
| 18.499907
| 18.07089
| 21.633574
| 20.693127
| 21.269169
| 22.589094
| 18.272316
| 18.178684
| 19.073435
| 18.869188
| 17.373299
| 17.125324
| 17.331646
| 18.503288
| 18.215179
| 17.946615
| 17.179369
| 16.839167
| 18.202169
|
0802.0009
|
Sean McReynolds
|
Sean McReynolds
|
Supergravity on R4 x S1/Z2 and singular Calabi-Yaus
|
13 pp
|
Mod.Phys.Lett.A23:1841-1852,2008
|
10.1142/S0217732308027084
| null |
hep-th
| null |
We discuss the moduli space singularities that are generally present in
five-dimensional vector-coupled supergravity on a spactime of the form R4 x
S1/Z2, with vector fields surviving on the Z2 fixed planes. The framework of
supergravity is necessarily ambiguous when it comes to the non-singular
embedding theory, so we focus on those models coming from Calabi-Yau
three-folds with wrapped membranes.
|
[
{
"created": "Fri, 1 Feb 2008 11:47:45 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"McReynolds",
"Sean",
""
]
] |
We discuss the moduli space singularities that are generally present in five-dimensional vector-coupled supergravity on a spactime of the form R4 x S1/Z2, with vector fields surviving on the Z2 fixed planes. The framework of supergravity is necessarily ambiguous when it comes to the non-singular embedding theory, so we focus on those models coming from Calabi-Yau three-folds with wrapped membranes.
| 20.58761
| 19.982361
| 22.147936
| 17.942959
| 19.985666
| 17.845804
| 18.562719
| 17.274624
| 17.576765
| 20.473566
| 16.439789
| 18.265394
| 18.203007
| 17.490763
| 17.264587
| 17.993269
| 17.529766
| 18.808828
| 17.245745
| 20.703018
| 17.414146
|
hep-th/9508086
|
Emili Elizalde
|
K. Kirsten and E. Elizalde
|
Casimir energy of a massive field in a genus-1 surface
|
Changes everywhere: title, abstract, contents and figures. Version to
appear in Physics Letters B
|
Phys.Lett. B365 (1996) 72
|
10.1016/0370-2693(95)01303-2
|
Trento U.T.F. 356
|
hep-th
| null |
We review the definition of the Casimir energy steming naturally from the
concept of functional determinant through the zeta function prescription. This
is done by considering the theory at finite temperature and by defining then
the Casimir energy as its energy in the limit $T\to 0$. The ambiguity in the
coefficient $C_{d/2}$ is understood to be a result of the necessary
renormalization of the free energy of the system. Then, as an exact, explicit
example never calculated before, the Casimir energy for a massive scalar field
living in a general $(1+2)$-dimensional toroidal spacetime (i.e., a general
surface of genus one) with flat spatial geometry ---parametrized by the
corresponding Teichm\"uller parameters--- and its precise dependence on these
parameters and on the mass of the field is obtained under the form of an
analytic function.
|
[
{
"created": "Fri, 18 Aug 1995 08:14:50 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Oct 1995 09:39:55 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Kirsten",
"K.",
""
],
[
"Elizalde",
"E.",
""
]
] |
We review the definition of the Casimir energy steming naturally from the concept of functional determinant through the zeta function prescription. This is done by considering the theory at finite temperature and by defining then the Casimir energy as its energy in the limit $T\to 0$. The ambiguity in the coefficient $C_{d/2}$ is understood to be a result of the necessary renormalization of the free energy of the system. Then, as an exact, explicit example never calculated before, the Casimir energy for a massive scalar field living in a general $(1+2)$-dimensional toroidal spacetime (i.e., a general surface of genus one) with flat spatial geometry ---parametrized by the corresponding Teichm\"uller parameters--- and its precise dependence on these parameters and on the mass of the field is obtained under the form of an analytic function.
| 10.779889
| 11.725529
| 11.376687
| 9.910474
| 11.515379
| 11.275941
| 11.356627
| 10.954509
| 10.260049
| 11.58832
| 10.761536
| 10.426872
| 10.476638
| 10.010043
| 10.146525
| 10.40923
| 10.259138
| 10.14249
| 10.589072
| 10.562302
| 10.292276
|
2307.14538
|
Eric Lescano
|
Eric Lescano, Gabriel Menezes and Jes\'us A. Rodr\'iguez
|
Aspects of Conformal Gravity and Double Field Theory from a Double Copy
Map
|
Published version
|
Phys.Rev.D 2023
| null |
108, 12, 126017
|
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
Double Field Theory (DFT) can be constructed as the double copy of a
Yang-Mills theory. In this work we extend this statement by including
higher-derivative terms. Starting from a four-derivative extension of
Yang-Mills whose double copy is known to correspond to a conformal-gravity
theory, we obtain a four-derivative theory formulated in double space, which in
the pure gravity limit reduces to conformal gravity at quadratic order. This
result reveals important aspects for the study of conformal symmetry in the
context of DFT through double copy maps.
|
[
{
"created": "Wed, 26 Jul 2023 23:05:59 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Dec 2023 14:15:12 GMT",
"version": "v2"
}
] |
2023-12-29
|
[
[
"Lescano",
"Eric",
""
],
[
"Menezes",
"Gabriel",
""
],
[
"Rodríguez",
"Jesús A.",
""
]
] |
Double Field Theory (DFT) can be constructed as the double copy of a Yang-Mills theory. In this work we extend this statement by including higher-derivative terms. Starting from a four-derivative extension of Yang-Mills whose double copy is known to correspond to a conformal-gravity theory, we obtain a four-derivative theory formulated in double space, which in the pure gravity limit reduces to conformal gravity at quadratic order. This result reveals important aspects for the study of conformal symmetry in the context of DFT through double copy maps.
| 9.37286
| 8.467158
| 8.384068
| 7.022432
| 8.012954
| 7.820223
| 8.74588
| 7.422937
| 7.923838
| 10.287036
| 7.719097
| 7.817616
| 8.353682
| 8.103344
| 8.03783
| 8.126447
| 8.408115
| 8.048076
| 7.876918
| 8.608788
| 8.081512
|
hep-th/0209243
|
Planat
|
Michel Planat
|
Modular functions and Ramanujan sums for the analysis of 1/f noise in
electronic circuits
|
weakly expanded version of an invited paper at ICNF 2003
| null | null | null |
hep-th
| null |
A number theoretical model of $1/f$ noise found in phase locked loops is
developed. The dynamics of phases and frequencies involved in the nonlinear
mixing of oscillators and the low-pass filtering is formulated thanks to the
rules of the hyperbolic geometry of the half plane. A cornerstone of the
analysis is the Ramanujan sums expansion of arithmetical functions found in
prime number theory, and their link to Riemann hypothesis.
|
[
{
"created": "Fri, 27 Sep 2002 14:46:50 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Feb 2003 10:13:54 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Planat",
"Michel",
""
]
] |
A number theoretical model of $1/f$ noise found in phase locked loops is developed. The dynamics of phases and frequencies involved in the nonlinear mixing of oscillators and the low-pass filtering is formulated thanks to the rules of the hyperbolic geometry of the half plane. A cornerstone of the analysis is the Ramanujan sums expansion of arithmetical functions found in prime number theory, and their link to Riemann hypothesis.
| 18.269669
| 21.414389
| 19.115053
| 19.396986
| 18.272146
| 18.527636
| 20.817928
| 20.972776
| 19.370176
| 18.31543
| 18.007462
| 17.466747
| 16.032438
| 16.471117
| 16.488224
| 17.271631
| 17.566538
| 17.563351
| 17.144873
| 15.865767
| 17.021093
|
1911.05827
|
Constantinos Papageorgakis
|
Vasilis Niarchos, Constantinos Papageorgakis and Elli Pomoni
|
Type-B Anomaly Matching and the 6D (2,0) Theory
|
59 pages; v2: typos corrected and references added; v3: a previously
incomplete argument regarding the covariant constancy of the anomaly has been
confirmed by more recent results, references added and typos corrected
| null |
10.1007/JHEP04(2020)048
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We study type-B conformal anomalies associated with $\frac{1}{2}$-BPS
Coulomb-branch operators in 4D $\mathcal N=2$ superconformal field theories.
When the vacuum preserves the conformal symmetry these anomalies coincide with
the two-point function coefficients in the Coulomb-branch chiral ring. They are
non-trivial functions of exactly-marginal couplings that can be determined from
the $S^4$ partition function. In this paper, we examine the fate of these
anomalies in vacua of the Higgs-branch moduli space, where conformal symmetry
is spontaneously broken. We argue non-perturbatively that these anomalies are
covariantly constant on conformal manifolds. In some cases, this can be used to
show that they match in the broken and unbroken phases. Thus, we uncover a new
class of data on the Higgs branch of 4D $\mathcal N=2$ conformal field theories
that are exactly computable. An interesting application of this matching occurs
in $\mathcal N=2$ circular quivers that deconstruct the 6D (2,0) theory on a
torus. In that context, we argue that 4D supersymmetric localisation can be
used to calculate non-trivial data involving $\frac{1}{2}$-BPS operators of the
6D theory as exact functions of the complex structure of the torus.
|
[
{
"created": "Wed, 13 Nov 2019 21:50:00 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Sep 2020 10:21:28 GMT",
"version": "v2"
},
{
"created": "Wed, 2 Nov 2022 15:58:01 GMT",
"version": "v3"
}
] |
2022-11-03
|
[
[
"Niarchos",
"Vasilis",
""
],
[
"Papageorgakis",
"Constantinos",
""
],
[
"Pomoni",
"Elli",
""
]
] |
We study type-B conformal anomalies associated with $\frac{1}{2}$-BPS Coulomb-branch operators in 4D $\mathcal N=2$ superconformal field theories. When the vacuum preserves the conformal symmetry these anomalies coincide with the two-point function coefficients in the Coulomb-branch chiral ring. They are non-trivial functions of exactly-marginal couplings that can be determined from the $S^4$ partition function. In this paper, we examine the fate of these anomalies in vacua of the Higgs-branch moduli space, where conformal symmetry is spontaneously broken. We argue non-perturbatively that these anomalies are covariantly constant on conformal manifolds. In some cases, this can be used to show that they match in the broken and unbroken phases. Thus, we uncover a new class of data on the Higgs branch of 4D $\mathcal N=2$ conformal field theories that are exactly computable. An interesting application of this matching occurs in $\mathcal N=2$ circular quivers that deconstruct the 6D (2,0) theory on a torus. In that context, we argue that 4D supersymmetric localisation can be used to calculate non-trivial data involving $\frac{1}{2}$-BPS operators of the 6D theory as exact functions of the complex structure of the torus.
| 5.553736
| 5.682135
| 6.537059
| 5.408743
| 5.707862
| 5.760866
| 5.423256
| 5.397061
| 5.460705
| 6.442686
| 5.413281
| 5.520106
| 5.879532
| 5.602033
| 5.59837
| 5.624652
| 5.523662
| 5.515776
| 5.569115
| 5.914788
| 5.395165
|
2211.12520
|
Mathis Gerdes
|
Mathis Gerdes, Sven Krippendorf
|
CYJAX: A package for Calabi-Yau metrics with JAX
|
17 pages, 5 figures; minor corrections of code examples &
clarifications; documentation at https://cyjax.readthedocs.io and code at
https://github.com/ml4physics/cyjax
| null |
10.1088/2632-2153/acdc84
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We present the first version of CYJAX, a package for machine learning
Calabi-Yau metrics using JAX. It is meant to be accessible both as a top-level
tool and as a library of modular functions. CYJAX is currently centered around
the algebraic ansatz for the K\"ahler potential which automatically satisfies
K\"ahlerity and compatibility on patch overlaps. As of now, this implementation
is limited to varieties defined by a single defining equation on one complex
projective space. We comment on some planned generalizations.
|
[
{
"created": "Tue, 22 Nov 2022 19:00:01 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Jul 2023 11:37:33 GMT",
"version": "v2"
}
] |
2023-07-13
|
[
[
"Gerdes",
"Mathis",
""
],
[
"Krippendorf",
"Sven",
""
]
] |
We present the first version of CYJAX, a package for machine learning Calabi-Yau metrics using JAX. It is meant to be accessible both as a top-level tool and as a library of modular functions. CYJAX is currently centered around the algebraic ansatz for the K\"ahler potential which automatically satisfies K\"ahlerity and compatibility on patch overlaps. As of now, this implementation is limited to varieties defined by a single defining equation on one complex projective space. We comment on some planned generalizations.
| 16.447529
| 15.241281
| 16.324144
| 14.31048
| 14.022219
| 17.530813
| 15.625332
| 17.355625
| 15.569957
| 18.664816
| 14.729577
| 14.735864
| 14.607234
| 14.045878
| 14.325033
| 14.026739
| 13.795
| 13.847361
| 13.855816
| 15.104609
| 13.26873
|
1510.07663
|
Robert Shrock
|
Yan-Liang Shi and Robert Shrock
|
$A_k \bar F$ Chiral Gauge Theories
|
17 pages, latex
|
Phys. Rev. D 92, 105032 (2015)
|
10.1103/PhysRevD.92.105032
|
YITP-SB-2015-39
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study asymptotically free chiral gauge theories with an SU($N$) gauge
group and chiral fermions transforming according to the antisymmetric rank-$k$
tensor representation, $A_k \equiv [k]_N$, and the requisite number, $n_{\bar
F}$, of copies of fermions in the conjugate fundamental representation, $\bar F
\equiv \overline{[1]}_N$, to render the theories anomaly-free. We denote these
as $A_k \, \bar F$ theories. We take $N \ge 2k+1$ so that $n_{\bar F} \ge 1$.
The $A_2 \, \bar F$ theories form an infinite family with $N \ge 5$, but we
show that the $A_3 \, \bar F$ and $A_4 \,\bar F$ theories are only
asymptotically free for $N$ in the respective ranges $7 \le N \le 17$ and $9
\le N \le 11$, and that there are no asymptotically free $A_k \, \bar F$
theories with $k \ge 5$. We investigate the types of ultraviolet to infrared
evolution for these $A_k \, \bar F$ theories and find that, depending on $k$
and $N$, they may lead to a non-Abelian Coulomb phase, or may involve
confinement with massless gauge-singlet composite fermions, bilinear fermion
condensation with dynamical gauge and global symmetry breaking, or formation of
multifermion condensates that preserve the gauge symmetry. We also show that
there are no asymptotically free, anomaly-free SU($N$) $S_k \, \bar F$ chiral
gauge theories with $k \ge 3$, where $S_k$ denotes the rank-$k$ symmetric
representation.
|
[
{
"created": "Mon, 26 Oct 2015 20:27:28 GMT",
"version": "v1"
}
] |
2015-12-02
|
[
[
"Shi",
"Yan-Liang",
""
],
[
"Shrock",
"Robert",
""
]
] |
We study asymptotically free chiral gauge theories with an SU($N$) gauge group and chiral fermions transforming according to the antisymmetric rank-$k$ tensor representation, $A_k \equiv [k]_N$, and the requisite number, $n_{\bar F}$, of copies of fermions in the conjugate fundamental representation, $\bar F \equiv \overline{[1]}_N$, to render the theories anomaly-free. We denote these as $A_k \, \bar F$ theories. We take $N \ge 2k+1$ so that $n_{\bar F} \ge 1$. The $A_2 \, \bar F$ theories form an infinite family with $N \ge 5$, but we show that the $A_3 \, \bar F$ and $A_4 \,\bar F$ theories are only asymptotically free for $N$ in the respective ranges $7 \le N \le 17$ and $9 \le N \le 11$, and that there are no asymptotically free $A_k \, \bar F$ theories with $k \ge 5$. We investigate the types of ultraviolet to infrared evolution for these $A_k \, \bar F$ theories and find that, depending on $k$ and $N$, they may lead to a non-Abelian Coulomb phase, or may involve confinement with massless gauge-singlet composite fermions, bilinear fermion condensation with dynamical gauge and global symmetry breaking, or formation of multifermion condensates that preserve the gauge symmetry. We also show that there are no asymptotically free, anomaly-free SU($N$) $S_k \, \bar F$ chiral gauge theories with $k \ge 3$, where $S_k$ denotes the rank-$k$ symmetric representation.
| 3.662038
| 3.832309
| 3.731119
| 3.525707
| 3.837049
| 3.850866
| 3.658634
| 3.707429
| 3.580403
| 4.029858
| 3.653313
| 3.617266
| 3.58624
| 3.600463
| 3.58062
| 3.655896
| 3.777979
| 3.564169
| 3.570446
| 3.620568
| 3.565063
|
1906.10683
|
Gang Chen
|
Gang Chen, Henrik Johansson, Fei Teng and Tianheng Wang
|
On the kinematic algebra for BCJ numerators beyond the MHV sector
|
43 pages, 4 figures
| null |
10.1007/JHEP11(2019)055
|
UUITP-22/19, NORDITA 2019-064, HU-EP-19/17, QMUL-PH-19-14
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The duality between color and kinematics present in scattering amplitudes of
Yang-Mills theory strongly suggest the existence of a hidden kinematic Lie
algebra that controls the gauge theory. While associated BCJ numerators are
known on closed forms to any multiplicity at tree level, the kinematic algebra
has only been partially explored for the simplest of four-dimensional
amplitudes: up to the MHV sector. In this paper we introduce a framework that
allows us to characterize the algebra beyond the MHV sector. This allows us to
both constrain some of the ambiguities of the kinematic algebra, and better
control the generalized gauge freedom that is associated with the BCJ
numerators. Specifically, in this paper, we work in dimension-agnostic notation
and determine the kinematic algebra valid up to certain ${\cal
O}\big((\varepsilon_i \cdot \varepsilon_j)^2\big)$ terms that in four
dimensions compute the next-to-MHV sector involving two scalars. The kinematic
algebra in this sector is simple, given that we introduce tensor currents that
generalize standard Yang-Mills vector currents. These tensor currents controls
the generalized gauge freedom, allowing us to generate multiple different
versions of BCJ numerators from the same kinematic algebra. The framework
should generalize to other sectors in Yang-Mills theory.
|
[
{
"created": "Tue, 25 Jun 2019 17:49:39 GMT",
"version": "v1"
}
] |
2020-01-08
|
[
[
"Chen",
"Gang",
""
],
[
"Johansson",
"Henrik",
""
],
[
"Teng",
"Fei",
""
],
[
"Wang",
"Tianheng",
""
]
] |
The duality between color and kinematics present in scattering amplitudes of Yang-Mills theory strongly suggest the existence of a hidden kinematic Lie algebra that controls the gauge theory. While associated BCJ numerators are known on closed forms to any multiplicity at tree level, the kinematic algebra has only been partially explored for the simplest of four-dimensional amplitudes: up to the MHV sector. In this paper we introduce a framework that allows us to characterize the algebra beyond the MHV sector. This allows us to both constrain some of the ambiguities of the kinematic algebra, and better control the generalized gauge freedom that is associated with the BCJ numerators. Specifically, in this paper, we work in dimension-agnostic notation and determine the kinematic algebra valid up to certain ${\cal O}\big((\varepsilon_i \cdot \varepsilon_j)^2\big)$ terms that in four dimensions compute the next-to-MHV sector involving two scalars. The kinematic algebra in this sector is simple, given that we introduce tensor currents that generalize standard Yang-Mills vector currents. These tensor currents controls the generalized gauge freedom, allowing us to generate multiple different versions of BCJ numerators from the same kinematic algebra. The framework should generalize to other sectors in Yang-Mills theory.
| 7.998
| 8.593147
| 10.354607
| 8.717652
| 9.19772
| 8.923496
| 8.327133
| 9.019703
| 8.764269
| 10.32006
| 8.766909
| 8.66461
| 8.917368
| 8.501275
| 8.63618
| 8.696743
| 8.674716
| 8.553094
| 8.57833
| 8.893692
| 8.525628
|
1706.01149
|
Gregory Moore
|
Gregory W. Moore
|
A Comment On Berry Connections
|
17 pages. V2: Some silly misprints fixed
| null | null | null |
hep-th cond-mat.mes-hall cond-mat.str-el math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
When families of quantum systems are equipped with a continuous family of
Hamiltonians such that there is a gap in the common spectrum one can define a
notion of a Berry connection. In this note we stress that, in general, since
the Hilbert bundle defining the family of quantum systems does not come with a
canonical trivialization there is in fact not a single Berry connection but
rather a family of Berry connections. Two examples illustrate that this remark
can have physical consequences.
|
[
{
"created": "Sun, 4 Jun 2017 21:22:20 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Jun 2017 04:25:23 GMT",
"version": "v2"
}
] |
2017-06-08
|
[
[
"Moore",
"Gregory W.",
""
]
] |
When families of quantum systems are equipped with a continuous family of Hamiltonians such that there is a gap in the common spectrum one can define a notion of a Berry connection. In this note we stress that, in general, since the Hilbert bundle defining the family of quantum systems does not come with a canonical trivialization there is in fact not a single Berry connection but rather a family of Berry connections. Two examples illustrate that this remark can have physical consequences.
| 10.679092
| 10.438827
| 9.611737
| 10.006008
| 9.573924
| 9.470309
| 10.325627
| 9.692069
| 10.468889
| 11.00604
| 9.841266
| 10.014401
| 10.180374
| 9.53544
| 9.809218
| 9.947455
| 10.325785
| 10.15265
| 9.749722
| 9.724803
| 9.888465
|
hep-th/0010061
|
Jose D. Edelstein
|
Jose D. Edelstein and Marta Gomez-Reino
|
Integrable hierarchies in Donaldson-Witten and Seiberg-Witten theories
|
20 pages, 1 figure, LaTeX2e/Kluwer style files included, Invited Talk
at the NATO Advanced Research Workshop "Integrable Hierarchies and Modern
Physical Theories", Chicago, 22th-26th July 2000
| null | null |
HUTP-00/A040, US-FT/15-00
|
hep-th
| null |
We review various aspects of integrable hierarchies appearing in N=2
supersymmetric gauge theories. In particular, we show that the blowup function
in Donaldson-Witten theory, up to a redefinition of the fast times, is a tau
function for a g-gap solution of the KdV hierarchy. In the case of
four-manifolds of simple type, instead, the blowup function becomes a tau
function corresponding to a multisoliton solution. We obtain a new expression
for the contact terms that links these results to the Whitham hierarchy
formulation of Seiberg-Witten theories.
|
[
{
"created": "Mon, 9 Oct 2000 21:34:22 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Edelstein",
"Jose D.",
""
],
[
"Gomez-Reino",
"Marta",
""
]
] |
We review various aspects of integrable hierarchies appearing in N=2 supersymmetric gauge theories. In particular, we show that the blowup function in Donaldson-Witten theory, up to a redefinition of the fast times, is a tau function for a g-gap solution of the KdV hierarchy. In the case of four-manifolds of simple type, instead, the blowup function becomes a tau function corresponding to a multisoliton solution. We obtain a new expression for the contact terms that links these results to the Whitham hierarchy formulation of Seiberg-Witten theories.
| 10.173987
| 8.857874
| 12.860258
| 8.789198
| 9.5769
| 8.799841
| 8.967871
| 8.742302
| 8.382497
| 13.293692
| 8.749663
| 9.27243
| 10.114189
| 9.295209
| 9.333449
| 9.524908
| 9.278623
| 9.342417
| 9.363805
| 10.68199
| 9.133652
|
1612.07174
|
Wang Dianfu
|
Dan-Na Liu, Si-Zhao Huang and Dian-Fu Wang
|
The U(4) QCD Model at Finite Temperature
|
8 pages
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
Based on the U(4) strong interaction model, the behavior of the model at
finite temperature is investigated. It is shown that, under high temperature,
the dynamical breaking of gauge symmetry can be restored and the quark
confinement can be melted away.
|
[
{
"created": "Wed, 21 Dec 2016 15:18:04 GMT",
"version": "v1"
}
] |
2016-12-22
|
[
[
"Liu",
"Dan-Na",
""
],
[
"Huang",
"Si-Zhao",
""
],
[
"Wang",
"Dian-Fu",
""
]
] |
Based on the U(4) strong interaction model, the behavior of the model at finite temperature is investigated. It is shown that, under high temperature, the dynamical breaking of gauge symmetry can be restored and the quark confinement can be melted away.
| 12.128123
| 9.988031
| 9.569915
| 10.087318
| 7.977754
| 8.875594
| 9.618692
| 9.840775
| 8.936684
| 11.030789
| 10.195934
| 9.203593
| 9.099848
| 9.439918
| 9.482899
| 9.240937
| 9.333419
| 9.391347
| 9.159996
| 9.712639
| 9.239463
|
hep-th/9405121
|
Edward Frenkel
|
E. Frenkel, V. Kac, A. Radul and W. Wang
|
W_{1+\infty} and W(gl_N) with central charge N
|
29 pages, Latex, uses file amssym.def (a few remarks added, typos
corrected)
|
Commun.Math.Phys. 170 (1995) 337-358
|
10.1007/BF02108332
| null |
hep-th
| null |
We study representations of the central extension of the Lie algebra of
differential operators on the circle, the W-infinity algebra. We obtain
complete and specialized character formulas for a large class of
representations, which we call primitive; these include all quasi-finite
irreducible unitary representations. We show that any primitive representation
with central charge N has a canonical structure of an irreducible
representation of the W-algebra W(gl_N) with the same central charge and that
all irreducible representations of W(gl_N) with central charge N arise in this
way. We also establish a duality between "integral" modules of W(gl_N) and
finite-dimensional irreducible modules of gl_N, and conjecture their fusion
rules.
|
[
{
"created": "Wed, 18 May 1994 23:30:01 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Oct 1994 00:28:06 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Frenkel",
"E.",
""
],
[
"Kac",
"V.",
""
],
[
"Radul",
"A.",
""
],
[
"Wang",
"W.",
""
]
] |
We study representations of the central extension of the Lie algebra of differential operators on the circle, the W-infinity algebra. We obtain complete and specialized character formulas for a large class of representations, which we call primitive; these include all quasi-finite irreducible unitary representations. We show that any primitive representation with central charge N has a canonical structure of an irreducible representation of the W-algebra W(gl_N) with the same central charge and that all irreducible representations of W(gl_N) with central charge N arise in this way. We also establish a duality between "integral" modules of W(gl_N) and finite-dimensional irreducible modules of gl_N, and conjecture their fusion rules.
| 7.214748
| 7.133074
| 8.082026
| 6.726784
| 6.972218
| 7.113052
| 7.272264
| 6.659118
| 6.687731
| 9.318423
| 6.750622
| 7.046341
| 7.225205
| 6.933471
| 6.98001
| 6.744483
| 7.111097
| 6.937789
| 6.828989
| 7.580462
| 6.816168
|
1306.6066
|
Andrei Smilga
|
A.V. Smilga
|
Supersymmetric field theory with benign ghosts
|
Final version published in J.Phys. A; 8 pages, 3 figures
|
J. Phys. A: Math. Theor. 47 (2014) 052001
|
10.1088/1751-8113/47/5/052001
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct a supersymmetric (1+1)-dimensional field theory involving extra
derivatives and associated ghosts: the spectrum of the Hamiltonian is not
bounded from below, neither from above. In spite of that, there is neither
classical, nor quantum collapse and unitarity is preserved.
|
[
{
"created": "Tue, 25 Jun 2013 19:18:39 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Jan 2014 12:11:18 GMT",
"version": "v2"
}
] |
2015-06-16
|
[
[
"Smilga",
"A. V.",
""
]
] |
We construct a supersymmetric (1+1)-dimensional field theory involving extra derivatives and associated ghosts: the spectrum of the Hamiltonian is not bounded from below, neither from above. In spite of that, there is neither classical, nor quantum collapse and unitarity is preserved.
| 15.902743
| 13.047193
| 13.511338
| 13.813707
| 12.275306
| 12.384078
| 13.482184
| 11.536613
| 12.265699
| 15.350054
| 11.851954
| 12.805717
| 14.240762
| 12.876672
| 13.420792
| 13.101932
| 13.189899
| 13.094321
| 13.048288
| 14.33924
| 12.364337
|
hep-th/9311170
|
Jouko Mickesson
|
Jouko Mickelsson
|
Renormalization of current algebra
|
12pp, talk at the meeting "Generalized symmetries in physics",
Clausthal, July 1993
| null | null | null |
hep-th
| null |
In this talk I want to explain the operator substractions needed to
renormalize gauge currents in a second quantized theory. The case of space-time
dimensions $3+1$ is considered in detail. In presence of chiral fermions the
renormalization effects a modification of the local commutation relations of
the currents by local Schwinger terms. In $1+1$ dimensions on gets the usual
central extension (Schwinger term does not depend on background gauge field)
whereas in $3+1$ dimensions one gets an anomaly linear in the background
potential. We extend our method to the spatial components of currents. Since
the bose-fermi interaction hamiltonian is of the form $j^k A_k$ (in the
temporal gauge) we get a new renormalization scheme for the interaction. The
idea is to define a field dependent conjugation for the fermi hamiltonian in
the one-particle space such that after the conjugation the hamiltonian can be
quantized just by normal ordering prescription.
|
[
{
"created": "Mon, 29 Nov 1993 23:32:53 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Mickelsson",
"Jouko",
""
]
] |
In this talk I want to explain the operator substractions needed to renormalize gauge currents in a second quantized theory. The case of space-time dimensions $3+1$ is considered in detail. In presence of chiral fermions the renormalization effects a modification of the local commutation relations of the currents by local Schwinger terms. In $1+1$ dimensions on gets the usual central extension (Schwinger term does not depend on background gauge field) whereas in $3+1$ dimensions one gets an anomaly linear in the background potential. We extend our method to the spatial components of currents. Since the bose-fermi interaction hamiltonian is of the form $j^k A_k$ (in the temporal gauge) we get a new renormalization scheme for the interaction. The idea is to define a field dependent conjugation for the fermi hamiltonian in the one-particle space such that after the conjugation the hamiltonian can be quantized just by normal ordering prescription.
| 11.613786
| 13.046978
| 13.901754
| 12.508682
| 13.252199
| 13.398888
| 13.123077
| 12.889309
| 12.273582
| 14.659148
| 11.930852
| 11.990048
| 12.078223
| 11.509612
| 11.702876
| 11.546689
| 11.768929
| 10.970191
| 11.025696
| 12.173574
| 11.110952
|
hep-th/9603004
|
Riccardo D'auria
|
L. Andrianopoli, M. Bertolini, A. Ceresole, R. D'Auria, S. Ferrara and
P. Fre'
|
General Matter Coupled N=2 Supergravity
|
LaTex, 20 pgs
|
Nucl.Phys. B476 (1996) 397-417
|
10.1016/0550-3213(96)00344-6
|
POLFIS-TH 02/96, CERN-TH/95-350, UCLA/96/TEP/3, NSF-ITP-96-11
|
hep-th
| null |
The general form of N=2 supergravity coupled to an arbitrary number of vector
multiplets and hypermultiplets, with a generic gauging of the scalar manifold
isometries is given. This extends the results already available in the
literature in that we use a coordinate independent and manifestly symplectic
covariant formalism which allows to cover theories difficult to formulate
within superspace or tensor calculus approach. We provide the complete
lagrangian and supersymmetry variations with all fermionic terms, and the form
of the scalar potential for arbitrary quaternionic manifolds and special
geometry, not necessarily in special coordinates. Our results can be used to
explore properties of theories admitting $N=2$ supergravity as low energy
limit.
|
[
{
"created": "Fri, 1 Mar 1996 18:24:51 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Andrianopoli",
"L.",
""
],
[
"Bertolini",
"M.",
""
],
[
"Ceresole",
"A.",
""
],
[
"D'Auria",
"R.",
""
],
[
"Ferrara",
"S.",
""
],
[
"Fre'",
"P.",
""
]
] |
The general form of N=2 supergravity coupled to an arbitrary number of vector multiplets and hypermultiplets, with a generic gauging of the scalar manifold isometries is given. This extends the results already available in the literature in that we use a coordinate independent and manifestly symplectic covariant formalism which allows to cover theories difficult to formulate within superspace or tensor calculus approach. We provide the complete lagrangian and supersymmetry variations with all fermionic terms, and the form of the scalar potential for arbitrary quaternionic manifolds and special geometry, not necessarily in special coordinates. Our results can be used to explore properties of theories admitting $N=2$ supergravity as low energy limit.
| 8.2834
| 6.330214
| 10.038665
| 6.703746
| 6.083841
| 6.142546
| 5.900512
| 5.985178
| 6.691793
| 10.477912
| 6.792906
| 7.279647
| 8.541298
| 7.431065
| 7.442737
| 7.127045
| 7.089417
| 7.529793
| 7.596334
| 8.330616
| 7.519993
|
1709.01944
|
Marcus Sperling
|
Jakob C. Geipel and Marcus Sperling
|
Instantons on Calabi-Yau and hyper-K\"ahler cones
|
v2: 29 pages, typos corrected, matches JHEP version
|
JHEP 1710 (2017) 103
|
10.1007/JHEP10(2017)103
|
UWTHPH-2017-28
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The instanton equations on vector bundles over Calabi-Yau and hyper-K\"ahler
cones can be reduced to matrix equations resembling Nahm's equations. We
complement the discussion of Hermitian Yang-Mills (HYM) equations on Calabi-Yau
cones, based on regular semi-simple elements, by a new set of (singular)
boundary conditions which have a known instanton solution in one direction.
This approach extends the classic results of Kronheimer by probing a relation
between generalised Nahm's equations and nilpotent pairs/tuples. Moreover, we
consider quaternionic instantons on hyper-K\"ahler cones over generic
3-Sasakian manifolds and study the HYM moduli spaces arising in this set-up,
using the fact that their analysis can be traced back to the intersection of
three Hermitian Yang-Mills conditions.
|
[
{
"created": "Wed, 6 Sep 2017 18:01:01 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Dec 2017 21:34:53 GMT",
"version": "v2"
}
] |
2018-01-01
|
[
[
"Geipel",
"Jakob C.",
""
],
[
"Sperling",
"Marcus",
""
]
] |
The instanton equations on vector bundles over Calabi-Yau and hyper-K\"ahler cones can be reduced to matrix equations resembling Nahm's equations. We complement the discussion of Hermitian Yang-Mills (HYM) equations on Calabi-Yau cones, based on regular semi-simple elements, by a new set of (singular) boundary conditions which have a known instanton solution in one direction. This approach extends the classic results of Kronheimer by probing a relation between generalised Nahm's equations and nilpotent pairs/tuples. Moreover, we consider quaternionic instantons on hyper-K\"ahler cones over generic 3-Sasakian manifolds and study the HYM moduli spaces arising in this set-up, using the fact that their analysis can be traced back to the intersection of three Hermitian Yang-Mills conditions.
| 11.526127
| 12.764579
| 13.692033
| 11.731258
| 12.268667
| 11.923635
| 11.249507
| 12.281816
| 11.924382
| 15.639765
| 10.60703
| 11.42156
| 11.957347
| 11.347544
| 11.375447
| 11.111876
| 11.39978
| 11.232607
| 11.187222
| 12.053481
| 11.442853
|
2203.10042
|
Daniel Green
|
Daniel Green and Yiwen Huang
|
A Flat Space Analogue for the Quantum Origin of Structure
|
35 pages, 2 figures
| null |
10.1103/PhysRevD.106.023531
| null |
hep-th astro-ph.CO hep-ph quant-ph
|
http://creativecommons.org/licenses/by/4.0/
|
The analytic structure of non-Gaussian correlators in inflationary
cosmologies has recently been proposed as a test of the quantum origin of
structure in the universe. To further understand this proposal, we explore the
analogous equal-time in-in correlators in flat space and show they exhibit the
same features as their cosmological counterparts. The quantum vacuum is
uniquely identified by in-in correlators with a total energy pole and no
additional poles at physical momenta. We tie this behavior directly to the
S-matrix and show that poles at physical momenta always arise from scattering
of particles present in the initial state. We relate these flat-space in-in
correlators to the probability amplitude for exciting multiple Unruh-de Witt
detectors. Localizing the detectors in spacetime, through the uncertainty
principle, provides the energy and momentum needed to excite the vacuum and
explains the connection to cosmological particle production. In addition, the
entanglement of these detectors provides a probe of the entangled state of the
underlying field and connects the properties of the correlators to the range of
entanglement of the detectors.
|
[
{
"created": "Fri, 18 Mar 2022 16:36:39 GMT",
"version": "v1"
}
] |
2022-08-17
|
[
[
"Green",
"Daniel",
""
],
[
"Huang",
"Yiwen",
""
]
] |
The analytic structure of non-Gaussian correlators in inflationary cosmologies has recently been proposed as a test of the quantum origin of structure in the universe. To further understand this proposal, we explore the analogous equal-time in-in correlators in flat space and show they exhibit the same features as their cosmological counterparts. The quantum vacuum is uniquely identified by in-in correlators with a total energy pole and no additional poles at physical momenta. We tie this behavior directly to the S-matrix and show that poles at physical momenta always arise from scattering of particles present in the initial state. We relate these flat-space in-in correlators to the probability amplitude for exciting multiple Unruh-de Witt detectors. Localizing the detectors in spacetime, through the uncertainty principle, provides the energy and momentum needed to excite the vacuum and explains the connection to cosmological particle production. In addition, the entanglement of these detectors provides a probe of the entangled state of the underlying field and connects the properties of the correlators to the range of entanglement of the detectors.
| 11.284576
| 12.328928
| 11.853423
| 10.950192
| 11.759264
| 12.736972
| 11.313949
| 11.274516
| 11.718531
| 12.644112
| 11.326576
| 11.11256
| 11.490971
| 10.793169
| 11.439014
| 11.223824
| 11.011922
| 11.30635
| 11.14267
| 11.79701
| 11.125653
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.