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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1411.0897
|
Diego Rubiera-Garcia
|
D. Bazeia, L. Losano, R. Menezes, Gonzalo J. Olmo, D. Rubiera-Garcia
|
Thick brane in $f(R)$ gravity with Palatini dynamics
|
8 double-column pages, 10 figures, revtex4-1 style. Several
modificacions added in Sections I, II, III and IV. To appear in Eur. Phys. J.
C
|
Eur. Phys. J. C, 75 (2015) 12, 569
|
10.1140/epjc/s10052-015-3803-0
|
IFIC/14-84
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This work deals with modified gravity in five dimensional spacetime. We study
a thick Palatini $f(R)$ brane, that is, a braneworld scenario described by an
anti-de Sitter warped geometry with a single extra dimension of infinite
extent, sourced by real scalar field under the Palatini approach, where the
metric and the connection are regarded as independent degrees of freedom. We
consider a first-order framework which we use to provide exact solutions for
the scalar field and warp factor. We also investigate a perturbative scenario
such that the Palatini approach is implemented through a Lagrangian
$f(R)=R+\epsilon R^n$, where the small parameter $\epsilon$ controls the
deviation from the standard thick brane case.
|
[
{
"created": "Tue, 4 Nov 2014 13:21:18 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Nov 2015 10:19:47 GMT",
"version": "v2"
}
] |
2015-12-09
|
[
[
"Bazeia",
"D.",
""
],
[
"Losano",
"L.",
""
],
[
"Menezes",
"R.",
""
],
[
"Olmo",
"Gonzalo J.",
""
],
[
"Rubiera-Garcia",
"D.",
""
]
] |
This work deals with modified gravity in five dimensional spacetime. We study a thick Palatini $f(R)$ brane, that is, a braneworld scenario described by an anti-de Sitter warped geometry with a single extra dimension of infinite extent, sourced by real scalar field under the Palatini approach, where the metric and the connection are regarded as independent degrees of freedom. We consider a first-order framework which we use to provide exact solutions for the scalar field and warp factor. We also investigate a perturbative scenario such that the Palatini approach is implemented through a Lagrangian $f(R)=R+\epsilon R^n$, where the small parameter $\epsilon$ controls the deviation from the standard thick brane case.
| 8.168634
| 7.160392
| 8.07764
| 6.587394
| 7.0385
| 7.55611
| 7.273784
| 6.268004
| 6.986476
| 7.89226
| 6.985896
| 7.406258
| 7.687177
| 7.256581
| 7.412243
| 7.20922
| 7.385789
| 7.167138
| 7.675149
| 7.649099
| 7.589595
|
1805.11617
|
Marcus Spradlin
|
Igor Prlina, Marcus Spradlin, Stefan Stanojevic
|
All-loop singularities of scattering amplitudes in massless planar
theories
|
6 pages, 4 figures; v2: minor improvements and clarifications,
including an expanded section VIII
|
Phys. Rev. Lett. 121, 081601 (2018)
|
10.1103/PhysRevLett.121.081601
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In massless quantum field theories the Landau equations are invariant under
graph operations familiar from the theory of electrical circuits. Using a
theorem on the $Y$-$\Delta$ reducibility of planar circuits we prove that the
set of first-type Landau singularities of an $n$-particle scattering amplitude
in any massless planar theory, in any spacetime dimension $D$, at any finite
loop order in perturbation theory, is a subset of those of a certain
$n$-particle $\lfloor{(n{-}2)^2/4}\rfloor$-loop "ziggurat" graph. We determine
this singularity locus explicitly for $D=4$ and $n=6$ and find that it
corresponds precisely to the vanishing of the symbol letters familiar from the
hexagon bootstrap in SYM theory. Further implications for SYM theory are
discussed.
|
[
{
"created": "Tue, 29 May 2018 17:59:50 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Aug 2018 14:15:57 GMT",
"version": "v2"
}
] |
2018-08-29
|
[
[
"Prlina",
"Igor",
""
],
[
"Spradlin",
"Marcus",
""
],
[
"Stanojevic",
"Stefan",
""
]
] |
In massless quantum field theories the Landau equations are invariant under graph operations familiar from the theory of electrical circuits. Using a theorem on the $Y$-$\Delta$ reducibility of planar circuits we prove that the set of first-type Landau singularities of an $n$-particle scattering amplitude in any massless planar theory, in any spacetime dimension $D$, at any finite loop order in perturbation theory, is a subset of those of a certain $n$-particle $\lfloor{(n{-}2)^2/4}\rfloor$-loop "ziggurat" graph. We determine this singularity locus explicitly for $D=4$ and $n=6$ and find that it corresponds precisely to the vanishing of the symbol letters familiar from the hexagon bootstrap in SYM theory. Further implications for SYM theory are discussed.
| 9.312896
| 8.98309
| 9.932405
| 8.849656
| 9.482801
| 9.577869
| 10.014022
| 8.976344
| 8.905426
| 10.826838
| 9.151056
| 9.300573
| 8.976316
| 8.848519
| 8.767817
| 8.736319
| 8.972636
| 8.981373
| 8.839465
| 9.389697
| 8.782962
|
0712.1260
|
Aalok Misra
|
Aalok Misra, Pramod Shukla
|
Large Volume Axionic Swiss-Cheese Inflation
|
1+15 pages, LaTeX; some errors corrected and now get number of
e-foldings as 60 - this supersedes the published version
|
Nucl.Phys.B800:384-400,2008
|
10.1016/j.nuclphysb.2008.04.001
| null |
hep-th astro-ph gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Continuing with the ideas of (section 4 of) [1], after inclusion of
perturbative and non-perturbative alpha' corrections to the Kaehler potential
and (D1- and D3-) instanton generated superpotential, we show the possibility
of slow-roll axionic inflation in the large volume limit of Swiss-Cheese
Calabi-Yau orientifold compactifications of type IIB string theory. We also
include one- and two-loop corrections to the Kaehler potential but find the
same to be subdominant to the (perturbative and non-perturbative) alpha'
corrections. The NS-NS axions provide a flat direction for slow-roll inflation
to proceed from a saddle point to the nearest dS minimum.
|
[
{
"created": "Sat, 8 Dec 2007 06:42:47 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Jan 2008 16:28:59 GMT",
"version": "v2"
},
{
"created": "Wed, 6 Feb 2008 12:44:01 GMT",
"version": "v3"
},
{
"created": "Fri, 4 Apr 2008 09:18:28 GMT",
"version": "v4"
},
{
"created": "Wed, 4 Jun 2008 18:43:49 GMT",
"version": "v5"
},
{
"created": "Sun, 22 Jun 2008 07:41:35 GMT",
"version": "v6"
}
] |
2008-11-26
|
[
[
"Misra",
"Aalok",
""
],
[
"Shukla",
"Pramod",
""
]
] |
Continuing with the ideas of (section 4 of) [1], after inclusion of perturbative and non-perturbative alpha' corrections to the Kaehler potential and (D1- and D3-) instanton generated superpotential, we show the possibility of slow-roll axionic inflation in the large volume limit of Swiss-Cheese Calabi-Yau orientifold compactifications of type IIB string theory. We also include one- and two-loop corrections to the Kaehler potential but find the same to be subdominant to the (perturbative and non-perturbative) alpha' corrections. The NS-NS axions provide a flat direction for slow-roll inflation to proceed from a saddle point to the nearest dS minimum.
| 7.581059
| 6.520515
| 7.262688
| 6.468453
| 6.72509
| 6.703707
| 6.837484
| 6.407475
| 5.950166
| 8.069855
| 6.711987
| 7.369624
| 7.371719
| 7.022045
| 6.925304
| 7.002801
| 7.06171
| 6.900426
| 6.987419
| 7.477612
| 7.152448
|
hep-th/9605022
|
August Romeo
|
S. Leseduarte and August Romeo
|
Complete zeta-function approach to the electromagnetic Casimir effect
for spheres and circles
|
accepted in Ann. Phys
|
Annals Phys. 250 (1996) 448-484
|
10.1006/aphy.1996.0101
|
CEAB, 23-4-1996
|
hep-th
| null |
A technique for evaluating the electromagnetic Casimir energy in situations
involving spherical or circular boundaries is presented. Zeta function
regularization is unambiguously used from the start and the properties of
Bessel and related zeta functions are central. Nontrivial results concerning
these functions are given. While part of their application agrees with previous
knowledge, new results like the zeta-regularized electromagnetic Casimir energy
for a circular wire are included.
|
[
{
"created": "Fri, 3 May 1996 14:06:17 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Leseduarte",
"S.",
""
],
[
"Romeo",
"August",
""
]
] |
A technique for evaluating the electromagnetic Casimir energy in situations involving spherical or circular boundaries is presented. Zeta function regularization is unambiguously used from the start and the properties of Bessel and related zeta functions are central. Nontrivial results concerning these functions are given. While part of their application agrees with previous knowledge, new results like the zeta-regularized electromagnetic Casimir energy for a circular wire are included.
| 17.814365
| 17.691648
| 16.829044
| 15.202134
| 16.960339
| 14.917092
| 14.776104
| 16.203207
| 17.043972
| 19.274471
| 15.131062
| 15.548885
| 16.29509
| 16.100803
| 15.80921
| 15.857916
| 15.339517
| 15.517562
| 15.694457
| 16.148693
| 15.347649
|
hep-th/0204065
|
Shin'ichi Nojiri
|
Shin'ichi Nojiri, Sergei D. Odintsov, Akio Sugamoto
|
Stabilization and radion in de Sitter brane-world
|
LaTeX file 8 pages, minor changes, version to appear in MPLA
|
Mod.Phys.Lett.A17:1269-1276,2002
|
10.1142/S0217732302007302
| null |
hep-th hep-ph
| null |
We consider the stabilization of de Sitter brane-world. The scalar field
bulk-brane theory produces the non-trivial minimum of modulus potential where
temporal radion is realized. The hierarchy problem (between Planck and
electroweak scales) may be solved. However, the interpretation of radion is not
so clear as in AdS brane-world. In particulary, the introduction of two times
physics or pair-creation of bulk spaces or identification of one of spatial
coordinates with imaginary time (non-zero temperature) may be required.
|
[
{
"created": "Mon, 8 Apr 2002 13:35:16 GMT",
"version": "v1"
},
{
"created": "Wed, 29 May 2002 04:56:03 GMT",
"version": "v2"
}
] |
2009-09-17
|
[
[
"Nojiri",
"Shin'ichi",
""
],
[
"Odintsov",
"Sergei D.",
""
],
[
"Sugamoto",
"Akio",
""
]
] |
We consider the stabilization of de Sitter brane-world. The scalar field bulk-brane theory produces the non-trivial minimum of modulus potential where temporal radion is realized. The hierarchy problem (between Planck and electroweak scales) may be solved. However, the interpretation of radion is not so clear as in AdS brane-world. In particulary, the introduction of two times physics or pair-creation of bulk spaces or identification of one of spatial coordinates with imaginary time (non-zero temperature) may be required.
| 22.773907
| 21.312775
| 21.112894
| 19.723011
| 22.486052
| 22.276016
| 21.065874
| 19.772537
| 19.714375
| 22.5144
| 19.627771
| 20.473923
| 22.390038
| 20.396854
| 20.296669
| 20.687712
| 21.374842
| 21.127117
| 21.653387
| 21.270306
| 20.053373
|
2403.03953
|
Philip Boyle Smith
|
Philip Boyle Smith, Yunqin Zheng
|
Backfiring Bosonisation
|
44 pages, 9 figures
| null | null | null |
hep-th cond-mat.str-el
|
http://creativecommons.org/licenses/by-sa/4.0/
|
For a fermionic quantum field theory in $d=1+1$ dimensions, there is a subtle
difference between summing over spin structures and gauging $(-1)^F$. If the
gravitational anomaly vanishes mod 16, then both operations are equivalent and
yield a bosonic theory. But if the gravitational anomaly only vanishes mod 8,
then only gauging $(-1)^F$ is allowed, and the result is a fermionic theory.
Our goal is to understand in detail how this happens, despite the fact $(-1)^F$
is defined in terms of shifting the spin structure, which would na\"ively
suggest that both operations are equivalent. We do this from three
perspectives: an abstract view in terms of anomalies, explicit CFT
calculations, and a Symmetry TFT perspective. To conclude, we illustrate our
results using the heterotic string and the famous self-triality of 8
Majorana-Weyl fermions.
|
[
{
"created": "Wed, 6 Mar 2024 18:58:09 GMT",
"version": "v1"
}
] |
2024-03-07
|
[
[
"Smith",
"Philip Boyle",
""
],
[
"Zheng",
"Yunqin",
""
]
] |
For a fermionic quantum field theory in $d=1+1$ dimensions, there is a subtle difference between summing over spin structures and gauging $(-1)^F$. If the gravitational anomaly vanishes mod 16, then both operations are equivalent and yield a bosonic theory. But if the gravitational anomaly only vanishes mod 8, then only gauging $(-1)^F$ is allowed, and the result is a fermionic theory. Our goal is to understand in detail how this happens, despite the fact $(-1)^F$ is defined in terms of shifting the spin structure, which would na\"ively suggest that both operations are equivalent. We do this from three perspectives: an abstract view in terms of anomalies, explicit CFT calculations, and a Symmetry TFT perspective. To conclude, we illustrate our results using the heterotic string and the famous self-triality of 8 Majorana-Weyl fermions.
| 8.223425
| 7.853909
| 8.735832
| 7.834907
| 7.48421
| 8.345465
| 7.913302
| 7.542079
| 7.25396
| 9.625525
| 7.220177
| 7.717995
| 8.632069
| 7.601927
| 7.875081
| 7.452363
| 7.758452
| 7.610714
| 7.645161
| 8.280754
| 7.652664
|
0809.4928
|
Daiske Yamada
|
Daiske Yamada
|
Thermodynamics of Black Holes in Schroedinger Space
|
20 pages
|
Class.Quant.Grav.26:075006,2009
|
10.1088/0264-9381/26/7/075006
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A black hole and a black hyperboloid solutions in the space with the
Schroedinger isometries are presented and their thermodynamics is examined. The
on-shell action is obtained by the difference between the extremal and
non-extremal ones with the unusual matching of the boundary metrics. This
regularization method is first applied to the black brane solution in the space
of the Schroedinger symmetry and shown to correctly reproduce the known
thermodynamics. The actions of the black solutions all turn out to be the same
as the AdS counterparts. The phase diagram of the black hole system is obtained
in the parameter space of the temperature and chemical potential and the
diagram contains the Hawking-Page phase transition and instability lines.
|
[
{
"created": "Mon, 29 Sep 2008 10:51:40 GMT",
"version": "v1"
}
] |
2009-03-27
|
[
[
"Yamada",
"Daiske",
""
]
] |
A black hole and a black hyperboloid solutions in the space with the Schroedinger isometries are presented and their thermodynamics is examined. The on-shell action is obtained by the difference between the extremal and non-extremal ones with the unusual matching of the boundary metrics. This regularization method is first applied to the black brane solution in the space of the Schroedinger symmetry and shown to correctly reproduce the known thermodynamics. The actions of the black solutions all turn out to be the same as the AdS counterparts. The phase diagram of the black hole system is obtained in the parameter space of the temperature and chemical potential and the diagram contains the Hawking-Page phase transition and instability lines.
| 11.672761
| 9.8501
| 11.490995
| 9.724042
| 9.884602
| 9.661873
| 11.184052
| 10.355109
| 9.776846
| 11.491906
| 9.823771
| 10.3242
| 10.473174
| 9.956443
| 10.518149
| 10.346499
| 9.900239
| 10.287951
| 9.861178
| 10.533158
| 10.02352
|
hep-th/9309150
| null |
K.-I. Izawa
|
Another Perturbative Expansion in Nonabelian Gauge Theory
|
PHYZZX, 8 pages, KUNS 1098
|
Prog.Theor.Phys. 90 (1993) 911-916
|
10.1143/ptp/90.4.911
| null |
hep-th
| null |
We consider a new perturbation scheme in nonabelian gauge theory. Pure
Yang-Mills theory in three dimensions is taken as a concrete example. The
zeroth-order in the perturbative expansion is given by BF theory coupled to a
St{\" u}ckelberg-like field. The effective coupling for the expansion can be
small in the infrared regime, which implies that nonperturbative treatment of
Yang-Mills theory may be partially reduced to that of BF theory.
|
[
{
"created": "Tue, 28 Sep 1993 01:48:58 GMT",
"version": "v1"
}
] |
2017-02-01
|
[
[
"Izawa",
"K. -I.",
""
]
] |
We consider a new perturbation scheme in nonabelian gauge theory. Pure Yang-Mills theory in three dimensions is taken as a concrete example. The zeroth-order in the perturbative expansion is given by BF theory coupled to a St{\" u}ckelberg-like field. The effective coupling for the expansion can be small in the infrared regime, which implies that nonperturbative treatment of Yang-Mills theory may be partially reduced to that of BF theory.
| 10.306868
| 8.281822
| 8.485879
| 8.001034
| 8.023005
| 7.941997
| 7.626269
| 8.841329
| 8.153339
| 8.91888
| 7.944579
| 8.569692
| 8.671502
| 8.399139
| 8.761881
| 8.313592
| 8.41316
| 8.7038
| 8.485482
| 9.083759
| 8.424973
|
1711.01461
|
Fedele Lizzi
|
Fedele Lizzi and Aleksandr Pinzul
|
Dimensional Deception from Noncommutative Tori: An alternative to
Horava-Lifschitz
|
20 pages + extensive appendix. 3 figures
|
Phys. Rev. D 96, 126013 (2017)
|
10.1103/PhysRevD.96.126013
| null |
hep-th gr-qc math-ph math.MP math.OA math.QA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the dimensional aspect of the geometry of quantum spaces.
Introducing a physically motivated notion of the scaling dimension, we study in
detail the model based on a fuzzy torus. We show that for a natural choice of a
deformed Laplace operator, this model demonstrates quite non-trivial behaviour:
the scaling dimension flows from 2 in IR to 1 in UV. Unlike another model with
the similar property, the so-called Horava-Lifshitz model, our construction
does not have any preferred direction. The dimension flow is rather achieved by
a rearrangement of the degrees of freedom. In this respect the number of
dimensions is deceptive. Some physical consequences are discussed.
|
[
{
"created": "Sat, 4 Nov 2017 16:37:37 GMT",
"version": "v1"
}
] |
2017-12-27
|
[
[
"Lizzi",
"Fedele",
""
],
[
"Pinzul",
"Aleksandr",
""
]
] |
We study the dimensional aspect of the geometry of quantum spaces. Introducing a physically motivated notion of the scaling dimension, we study in detail the model based on a fuzzy torus. We show that for a natural choice of a deformed Laplace operator, this model demonstrates quite non-trivial behaviour: the scaling dimension flows from 2 in IR to 1 in UV. Unlike another model with the similar property, the so-called Horava-Lifshitz model, our construction does not have any preferred direction. The dimension flow is rather achieved by a rearrangement of the degrees of freedom. In this respect the number of dimensions is deceptive. Some physical consequences are discussed.
| 11.736712
| 12.01518
| 12.637726
| 11.532628
| 11.443273
| 11.36057
| 12.175162
| 11.333349
| 11.633922
| 12.454923
| 11.790597
| 11.909576
| 11.716641
| 11.655272
| 11.365271
| 12.200838
| 12.007266
| 11.614711
| 11.507384
| 11.319968
| 11.947257
|
hep-th/0310132
|
Sergiu Vacaru I.
|
Sergiu I. Vacaru
|
Generalized Finsler Geometry in Einstein, String and Metric--Affine
Gravity
|
Latex2e, 55 pages + 26 pages for Appendix and Tables 1-11
|
Chapter 1 in: "Clifford and Riemann Finsler Structures in
Geometric Mechanics and Gravity, Selected Works (Geometry Balkan Press, 2006)
http://www.mathem.pub.ro/dgds/mono/va-t.pdf
| null | null |
hep-th gr-qc math-ph math.DG math.MP
| null |
We develop the method of anholonomic frames with associated nonlinear
connection (in brief, N--connection) structure and show explicitly how
geometries with local anisotropy (various type of
Finsler--Lagrange--Cartan--Hamilton geometry) can be modeled in the
metric--affine spaces. There are formulated the criteria when such generalized
Finsler metrics are effectively induced in the Einstein, teleparallel,
Riemann--Cartan and metric--affine gravity. We argue that every generic
off--diagonal metric (which can not be diagonalized by coordinate transforms)
is related to specific N--connection configurations. We elaborate the concept
of generalized Finsler--affine geometry for spaces provided with arbitrary
N--connection, metric and linear connection structures and characterized by
gravitational field strengths, i. e. by nontrivial N--connection curvature,
Riemannian curvature, torsion and nonmetricity. We apply a irreducible
decomposition techniques (in our case with additional N--connection splitting)
and study the dynamics of metric--affine gravity fields generating Finsler like
configurations. The classification of basic eleven classes of metric--affine
spaces with generic local anisotropy is presented.
|
[
{
"created": "Tue, 14 Oct 2003 14:57:01 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Vacaru",
"Sergiu I.",
""
]
] |
We develop the method of anholonomic frames with associated nonlinear connection (in brief, N--connection) structure and show explicitly how geometries with local anisotropy (various type of Finsler--Lagrange--Cartan--Hamilton geometry) can be modeled in the metric--affine spaces. There are formulated the criteria when such generalized Finsler metrics are effectively induced in the Einstein, teleparallel, Riemann--Cartan and metric--affine gravity. We argue that every generic off--diagonal metric (which can not be diagonalized by coordinate transforms) is related to specific N--connection configurations. We elaborate the concept of generalized Finsler--affine geometry for spaces provided with arbitrary N--connection, metric and linear connection structures and characterized by gravitational field strengths, i. e. by nontrivial N--connection curvature, Riemannian curvature, torsion and nonmetricity. We apply a irreducible decomposition techniques (in our case with additional N--connection splitting) and study the dynamics of metric--affine gravity fields generating Finsler like configurations. The classification of basic eleven classes of metric--affine spaces with generic local anisotropy is presented.
| 8.940312
| 10.478786
| 10.808035
| 9.649328
| 12.527939
| 10.78195
| 10.782572
| 9.738655
| 10.283211
| 10.689419
| 9.675138
| 9.244701
| 9.676663
| 9.002315
| 9.349024
| 9.432679
| 9.401762
| 9.159945
| 9.236381
| 9.321028
| 8.876707
|
1906.03135
|
Heng-Yu Chen HYC
|
Heng-Yu Chen, Hideki Kyono
|
On Conformal Block, Crossing Kernel and Multi-variable Hypergeometric
Functions
|
37 pages, 7 figures. Various references added and typos corrected
| null |
10.1007/JHEP10(2019)149
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note, we present an alternative representation of the conformal block
with external scalars in general spacetime dimensions in terms of a finite
summation over Appell fourth hypergeometric function ${\bf{F}}_4$. We also
construct its generalization to the non-local primary exchange operator with
continuous spin and its corresponding Mellin representation which are relevant
for Lorentzian spacetime. Using these results we apply the Lorentzian inversion
formula to compute so-called crossing kernel in general spacetime dimensions,
the resultant expression can be written as a double infinite summation over
certain Kamp\~{e} de F\~{e}riet hypergeometric functions with the correct
double trace operator singularity structures. We also include some
complementary computations in AdS space, demonstrating the orthogonality of
conformal blocks and performing the decompositions.
|
[
{
"created": "Fri, 7 Jun 2019 14:46:06 GMT",
"version": "v1"
},
{
"created": "Wed, 31 Jul 2019 15:30:59 GMT",
"version": "v2"
}
] |
2020-01-08
|
[
[
"Chen",
"Heng-Yu",
""
],
[
"Kyono",
"Hideki",
""
]
] |
In this note, we present an alternative representation of the conformal block with external scalars in general spacetime dimensions in terms of a finite summation over Appell fourth hypergeometric function ${\bf{F}}_4$. We also construct its generalization to the non-local primary exchange operator with continuous spin and its corresponding Mellin representation which are relevant for Lorentzian spacetime. Using these results we apply the Lorentzian inversion formula to compute so-called crossing kernel in general spacetime dimensions, the resultant expression can be written as a double infinite summation over certain Kamp\~{e} de F\~{e}riet hypergeometric functions with the correct double trace operator singularity structures. We also include some complementary computations in AdS space, demonstrating the orthogonality of conformal blocks and performing the decompositions.
| 12.775978
| 12.70018
| 15.894018
| 12.23876
| 12.929986
| 11.70017
| 13.830347
| 13.155099
| 12.556203
| 16.673647
| 12.194697
| 11.997202
| 12.833626
| 11.874326
| 12.123814
| 12.043084
| 11.987998
| 11.573774
| 11.776278
| 12.98471
| 11.811399
|
0712.4366
|
Sera Cremonini
|
Sera Cremonini, Robert de Mello Koch, Antal Jevicki
|
Matrix Model Maps and Reconstruction of AdS SUGRA Interactions
|
28 pages
|
Phys.Rev.D77:105005,2008
|
10.1103/PhysRevD.77.105005
| null |
hep-th
| null |
We consider the question of reconstructing (cubic) SUGRA interactions in
AdS/CFT. The method we introduce is based on the matrix model maps (MMP) which
were previously successfully employed at the linearized level. The strategy is
to start with the map for 1/2 BPS configurations which is exactly known (to all
orders) in the hamiltonian framework. We then use the extension of the matrix
model map with the corresponding Ward identities to completely specify the
interaction. A central point in this construction is the non-vanishing of
off-shell interactions (even for highest-weight states).
|
[
{
"created": "Fri, 28 Dec 2007 15:58:15 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Jan 2008 04:03:17 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Cremonini",
"Sera",
""
],
[
"Koch",
"Robert de Mello",
""
],
[
"Jevicki",
"Antal",
""
]
] |
We consider the question of reconstructing (cubic) SUGRA interactions in AdS/CFT. The method we introduce is based on the matrix model maps (MMP) which were previously successfully employed at the linearized level. The strategy is to start with the map for 1/2 BPS configurations which is exactly known (to all orders) in the hamiltonian framework. We then use the extension of the matrix model map with the corresponding Ward identities to completely specify the interaction. A central point in this construction is the non-vanishing of off-shell interactions (even for highest-weight states).
| 15.182204
| 15.301281
| 16.316572
| 14.069447
| 15.012187
| 15.628563
| 15.306603
| 14.695793
| 14.799031
| 16.749609
| 14.794441
| 14.625
| 16.725681
| 14.657022
| 14.205709
| 15.575185
| 14.953332
| 14.330833
| 14.52445
| 15.670064
| 13.881887
|
hep-th/0208038
|
Kasper Peeters
|
Pascal Bain, Kasper Peeters, Marija Zamaklar
|
D-branes in a plane wave from covariant open strings
|
20+1 pages, typos corrected, reference added
|
Phys.Rev. D67 (2003) 066001
|
10.1103/PhysRevD.67.066001
|
CERN-TH/2002-177, DAMTP-2002-98, IC/2002/88
|
hep-th
| null |
We derive boundary conditions for the covariant open string corresponding to
D-branes in an Hpp-wave, by requiring kappa symmetry of its bulk action. Both
half-supersymmetric and quarter-supersymmetric branes are seen to arise in this
way, and the analysis furthermore agrees fully with the existing probe brane
and supergravity computations. We elaborate on the origin of dynamical and
kinematical supersymmetries from the covariant point of view. In particular we
focus on the D-string which only preserves half of the dynamical
supersymmetries and none of the kinematical ones. We discuss its origin in
AdS_5 x S^5 and its world-volume spectrum.
|
[
{
"created": "Mon, 5 Aug 2002 17:13:54 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Jun 2003 09:51:52 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Bain",
"Pascal",
""
],
[
"Peeters",
"Kasper",
""
],
[
"Zamaklar",
"Marija",
""
]
] |
We derive boundary conditions for the covariant open string corresponding to D-branes in an Hpp-wave, by requiring kappa symmetry of its bulk action. Both half-supersymmetric and quarter-supersymmetric branes are seen to arise in this way, and the analysis furthermore agrees fully with the existing probe brane and supergravity computations. We elaborate on the origin of dynamical and kinematical supersymmetries from the covariant point of view. In particular we focus on the D-string which only preserves half of the dynamical supersymmetries and none of the kinematical ones. We discuss its origin in AdS_5 x S^5 and its world-volume spectrum.
| 10.498699
| 9.341352
| 12.487531
| 8.935586
| 9.776126
| 9.481585
| 9.382366
| 8.523623
| 8.746689
| 12.718743
| 9.165032
| 9.367167
| 11.198353
| 9.220837
| 9.599675
| 9.266706
| 9.218841
| 9.186372
| 9.509416
| 11.075029
| 9.334387
|
1508.05387
|
Ashoke Sen
|
Ashoke Sen
|
BV Master Action for Heterotic and Type II String Field Theories
|
LaTeX file, 21 pages; v2: expanded discussion on the sector
containing free fields and its decoupling, added references and
acknowledgements; v3: some clarifications added
| null |
10.1007/JHEP02(2016)087
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct the quantum BV master action for heterotic and type II string
field theories.
|
[
{
"created": "Fri, 21 Aug 2015 20:04:07 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Sep 2015 18:50:23 GMT",
"version": "v2"
},
{
"created": "Fri, 29 Jan 2016 11:10:17 GMT",
"version": "v3"
}
] |
2016-03-23
|
[
[
"Sen",
"Ashoke",
""
]
] |
We construct the quantum BV master action for heterotic and type II string field theories.
| 22.359886
| 10.109004
| 32.13047
| 12.819662
| 10.060968
| 12.17826
| 11.267769
| 10.283117
| 13.645418
| 16.948154
| 11.233014
| 13.517629
| 16.589888
| 14.585338
| 12.319037
| 13.18599
| 15.368466
| 12.454983
| 13.978971
| 16.834885
| 12.9461
|
hep-th/9901031
|
Bert Schroer
|
B. Schroer and H.-W. Wiesbrock (FU-Berlin, Germany)
|
Looking beyond the Thermal Horizon: Hidden Symmetries in Chiral Models
|
17 pages, tcilatex, still more typos removed and one reference
corrected
|
Rev.Math.Phys. 12 (2000) 461-473
| null | null |
hep-th gr-qc math-ph math.MP
| null |
In thermal states of chiral theories, as recently investigated by H.-J.
Borchers and J. Yngvason, there exists a rich group of hidden symmetries. Here
we show that this leads to a radical converse of of the Hawking-Unruh
observation in the following sense. The algebraic commutant of the algebra
associated with a (heat bath) thermal chiral system can be used to reprocess
the thermal system into a ground state system on a larger algebra with a larger
localization space-time. This happens in such a way that the original system
appears as a kind of generalized Unruh restriction of the ground state sytem
and the thermal commutant as being transmutated into newly created ``virgin
space-time region'' behind a horizon. The related concepts of a ``chiral
conformal core'' and the possibility of a ``blow-up'' of the latter suggest
interesting ideas on localization of degrees of freedom with possible
repercussion on how to define quantum entropy of localized matter content in
Local Quantum Physics.
|
[
{
"created": "Sun, 10 Jan 1999 14:14:38 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Jan 1999 16:03:05 GMT",
"version": "v2"
},
{
"created": "Sat, 23 Jan 1999 12:13:43 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Schroer",
"B.",
"",
"FU-Berlin, Germany"
],
[
"Wiesbrock",
"H. -W.",
"",
"FU-Berlin, Germany"
]
] |
In thermal states of chiral theories, as recently investigated by H.-J. Borchers and J. Yngvason, there exists a rich group of hidden symmetries. Here we show that this leads to a radical converse of of the Hawking-Unruh observation in the following sense. The algebraic commutant of the algebra associated with a (heat bath) thermal chiral system can be used to reprocess the thermal system into a ground state system on a larger algebra with a larger localization space-time. This happens in such a way that the original system appears as a kind of generalized Unruh restriction of the ground state sytem and the thermal commutant as being transmutated into newly created ``virgin space-time region'' behind a horizon. The related concepts of a ``chiral conformal core'' and the possibility of a ``blow-up'' of the latter suggest interesting ideas on localization of degrees of freedom with possible repercussion on how to define quantum entropy of localized matter content in Local Quantum Physics.
| 18.871408
| 19.06171
| 21.343874
| 19.935759
| 24.327253
| 20.035906
| 20.58605
| 20.206726
| 19.478476
| 21.194569
| 18.639326
| 19.035583
| 18.527296
| 18.84244
| 18.664215
| 18.552044
| 19.341578
| 18.584343
| 18.266798
| 18.939238
| 18.553251
|
1312.1174
|
Stanislaw D. Glazek
|
Stanislaw D. Glazek
|
Fermion mass mixing in vacuum
|
10 pages, latex FBS
|
Few-Body Systems 55, 535-544 (2014)
|
10.1007/s00601-013-0743-9
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Renormalization group procedure for effective particles (RGPEP) is applied to
a theory of fermions that interact only through mass mixing terms in their
Hamiltonian. Problems with virtual pair production in vacuum are avoided by
using the front form of Hamiltonian dynamics. Masses and states of physical
fermions emerge at the end of a calculation that is carried out exactly
irrespective of the strength of the mass mixing terms. An a priori infinite set
of renormalization group equations for all momentum modes of fermion quantum
fields is reduced to just one equation for a two-by-two mass matrix. In
distinction from scalars, fermions never become tachyons but appear chirally
rotated when the mass mixing interaction term is sufficiently strong.
|
[
{
"created": "Wed, 4 Dec 2013 14:20:59 GMT",
"version": "v1"
}
] |
2014-10-21
|
[
[
"Glazek",
"Stanislaw D.",
""
]
] |
Renormalization group procedure for effective particles (RGPEP) is applied to a theory of fermions that interact only through mass mixing terms in their Hamiltonian. Problems with virtual pair production in vacuum are avoided by using the front form of Hamiltonian dynamics. Masses and states of physical fermions emerge at the end of a calculation that is carried out exactly irrespective of the strength of the mass mixing terms. An a priori infinite set of renormalization group equations for all momentum modes of fermion quantum fields is reduced to just one equation for a two-by-two mass matrix. In distinction from scalars, fermions never become tachyons but appear chirally rotated when the mass mixing interaction term is sufficiently strong.
| 14.136853
| 12.200507
| 12.713263
| 11.090685
| 13.829789
| 13.258099
| 11.19386
| 12.421553
| 11.369829
| 13.91363
| 12.543459
| 13.390361
| 13.162622
| 12.892111
| 12.631722
| 13.287975
| 12.931503
| 13.0715
| 12.755604
| 12.663686
| 12.964716
|
hep-th/0210025
|
Hiroyuki Abe
|
Hiroyuki Abe, Tetsutaro Higaki, Tatsuo Kobayashi
|
Wave-function profile and SUSY breaking in 5D model with
Fayet-Iliopoulos terms
|
23 pages, 23 figures; typos corrected, references updated
|
Prog.Theor.Phys. 109 (2003) 809-830
|
10.1143/PTP.109.809
|
KUNS-1806, HUPD-0209
|
hep-th hep-ph
| null |
We systematically study VEVs of a gauge scalar field $\Sigma$ in a bulk U(1)
vector multiplet and scalar fields in brane/bulk hypermultiplets charged under
U(1) in the 5D $S^1/Z_2$ orbifold model with generic FI terms. A non-trivial
VEV of $\Sigma$ generates bulk mass terms for U(1) charged fields, and their
zero modes have non-trivial profiles. In particular, in the SUSY-breaking case,
bosonic and fermionic zero modes have Gaussian profiles. Such non-trivial
profiles are useful to explain hierarchical couplings. A toy model for SUSY
breaking is studied, and it yields sizable $D$-term contributions to scalar
masses. Because the overall magnitude of $D$-term contributions is the same
everywhere in the bulk and also on both branes, we have to take into account
these contributions and other SUSY-breaking terms to obtain a realistic
description. We also give profiles and mass eigenvalues of higher modes.
|
[
{
"created": "Thu, 3 Oct 2002 09:49:41 GMT",
"version": "v1"
},
{
"created": "Fri, 30 May 2003 06:11:37 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Abe",
"Hiroyuki",
""
],
[
"Higaki",
"Tetsutaro",
""
],
[
"Kobayashi",
"Tatsuo",
""
]
] |
We systematically study VEVs of a gauge scalar field $\Sigma$ in a bulk U(1) vector multiplet and scalar fields in brane/bulk hypermultiplets charged under U(1) in the 5D $S^1/Z_2$ orbifold model with generic FI terms. A non-trivial VEV of $\Sigma$ generates bulk mass terms for U(1) charged fields, and their zero modes have non-trivial profiles. In particular, in the SUSY-breaking case, bosonic and fermionic zero modes have Gaussian profiles. Such non-trivial profiles are useful to explain hierarchical couplings. A toy model for SUSY breaking is studied, and it yields sizable $D$-term contributions to scalar masses. Because the overall magnitude of $D$-term contributions is the same everywhere in the bulk and also on both branes, we have to take into account these contributions and other SUSY-breaking terms to obtain a realistic description. We also give profiles and mass eigenvalues of higher modes.
| 9.761413
| 10.181289
| 8.911492
| 8.975865
| 9.887044
| 10.126324
| 9.746713
| 10.097851
| 8.625994
| 10.394989
| 9.52278
| 9.415141
| 9.434782
| 8.84463
| 9.012827
| 9.35408
| 9.073478
| 9.348781
| 8.990003
| 9.157098
| 9.091761
|
2310.20345
|
Igor Barashenkov
|
I. V. Barashenkov and N. V. Alexeeva
|
Variational formalism for the Klein-Gordon oscillon
|
10 pages, 4 figures
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
The variational method employing the amplitude and width as collective
coordinates of the Klein-Gordon oscillon leads to a dynamical system with
unstable periodic orbits that blow up when perturbed. We propose a multiscale
variational approach free from the blow-up singularities. An essential feature
of the proposed trial function is the inclusion of the third collective
variable: a correction for the nonuniform phase growth. In addition to
determining the parameters of the oscillon, our approach detects the onset of
its instability.
|
[
{
"created": "Tue, 31 Oct 2023 10:35:13 GMT",
"version": "v1"
}
] |
2023-11-01
|
[
[
"Barashenkov",
"I. V.",
""
],
[
"Alexeeva",
"N. V.",
""
]
] |
The variational method employing the amplitude and width as collective coordinates of the Klein-Gordon oscillon leads to a dynamical system with unstable periodic orbits that blow up when perturbed. We propose a multiscale variational approach free from the blow-up singularities. An essential feature of the proposed trial function is the inclusion of the third collective variable: a correction for the nonuniform phase growth. In addition to determining the parameters of the oscillon, our approach detects the onset of its instability.
| 19.010128
| 22.244825
| 20.382551
| 19.37681
| 23.065575
| 22.424837
| 20.327076
| 18.676979
| 24.002279
| 22.860117
| 18.188595
| 18.989159
| 19.750092
| 18.76166
| 19.102419
| 18.382603
| 18.422655
| 18.207182
| 19.010244
| 19.570425
| 17.345018
|
1211.1624
|
Toshifumi Noumi
|
Toshifumi Noumi, Masahide Yamaguchi and Daisuke Yokoyama
|
Effective field theory approach to quasi-single field inflation and
effects of heavy fields
|
35 pages, 4 figures; v2: minor corrections and improvements, figures
1 and 2 replaced, references added; v3: major revision, published version.
Calculations of the power spectrum were revised, figures 1 and 2 are
replaced, discussions on integrating out heavy fields are expanded
| null |
10.1007/JHEP06(2013)051
|
UT-Komaba/12-9; TIT/HEP-625
|
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We apply the effective field theory approach to quasi-single field inflation,
which contains an additional scalar field with Hubble scale mass other than
inflaton. Based on the time-dependent spatial diffeomorphism, which is not
broken by the time-dependent background evolution, the most generic action of
quasi-single field inflation is constructed up to third order fluctuations.
Using the obtained action, the effects of the additional massive scalar field
on the primordial curvature perturbations are discussed. In particular, we
calculate the power spectrum and discuss the momentum-dependence of three point
functions in the squeezed limit for general settings of quasi-single field
inflation. Our framework can be also applied to inflation models with heavy
particles. We make a qualitative discussion on the effects of heavy particles
during inflation and that of sudden turning trajectory in our framework.
|
[
{
"created": "Wed, 7 Nov 2012 17:59:24 GMT",
"version": "v1"
},
{
"created": "Sun, 2 Dec 2012 11:12:58 GMT",
"version": "v2"
},
{
"created": "Fri, 7 Jun 2013 08:27:03 GMT",
"version": "v3"
}
] |
2015-06-12
|
[
[
"Noumi",
"Toshifumi",
""
],
[
"Yamaguchi",
"Masahide",
""
],
[
"Yokoyama",
"Daisuke",
""
]
] |
We apply the effective field theory approach to quasi-single field inflation, which contains an additional scalar field with Hubble scale mass other than inflaton. Based on the time-dependent spatial diffeomorphism, which is not broken by the time-dependent background evolution, the most generic action of quasi-single field inflation is constructed up to third order fluctuations. Using the obtained action, the effects of the additional massive scalar field on the primordial curvature perturbations are discussed. In particular, we calculate the power spectrum and discuss the momentum-dependence of three point functions in the squeezed limit for general settings of quasi-single field inflation. Our framework can be also applied to inflation models with heavy particles. We make a qualitative discussion on the effects of heavy particles during inflation and that of sudden turning trajectory in our framework.
| 9.166337
| 8.797524
| 9.497758
| 8.431886
| 8.553939
| 9.374148
| 8.976022
| 8.286657
| 8.156333
| 9.32267
| 8.151921
| 8.646727
| 8.873013
| 8.521628
| 8.72424
| 8.870684
| 8.529926
| 8.807506
| 8.579741
| 8.748987
| 8.657853
|
2305.15849
|
Ulf-G. Mei{\ss}ner
|
Ulf-G. Mei{\ss}ner, Bernard Ch. Metsch, Helen Meyer
|
The electromagnetic fine-structure constant in primordial
nucleosynthesis revisited
|
26 pages, 26 figures
| null | null | null |
hep-th astro-ph.CO hep-ph nucl-ex nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the dependence of the primordial nuclear abundances as a function of
the electromagnetic fine-structure constant $\alpha$, keeping all other
fundamental constants fixed. We update the leading nuclear reaction rates, in
particular the electromagnetic contribution to the neutron-proton mass
difference pertinent to $\beta$-decays, and go beyond certain approximations
made in the literature. In particular, we include the temperature-dependence of
the leading nuclear reactions rates and assess the systematic uncertainties by
using four different publicly available codes for Big Bang nucleosynthesis.
Disregarding the unsolved so-called lithium-problem, we find that the current
values for the observationally based $^{2}$H and $^{4}$He abundances restrict
the fractional change in the fine-structure constant to less than $2\%$, which
is a tighter bound than found in earlier works on the subject.
|
[
{
"created": "Thu, 25 May 2023 08:42:05 GMT",
"version": "v1"
}
] |
2023-05-26
|
[
[
"Meißner",
"Ulf-G.",
""
],
[
"Metsch",
"Bernard Ch.",
""
],
[
"Meyer",
"Helen",
""
]
] |
We study the dependence of the primordial nuclear abundances as a function of the electromagnetic fine-structure constant $\alpha$, keeping all other fundamental constants fixed. We update the leading nuclear reaction rates, in particular the electromagnetic contribution to the neutron-proton mass difference pertinent to $\beta$-decays, and go beyond certain approximations made in the literature. In particular, we include the temperature-dependence of the leading nuclear reactions rates and assess the systematic uncertainties by using four different publicly available codes for Big Bang nucleosynthesis. Disregarding the unsolved so-called lithium-problem, we find that the current values for the observationally based $^{2}$H and $^{4}$He abundances restrict the fractional change in the fine-structure constant to less than $2\%$, which is a tighter bound than found in earlier works on the subject.
| 9.376216
| 10.930619
| 9.204089
| 8.4626
| 9.770618
| 10.398109
| 9.635085
| 9.512434
| 9.3318
| 10.090378
| 9.792567
| 8.916784
| 8.610265
| 8.438851
| 8.771836
| 9.002689
| 8.938746
| 8.715733
| 8.724477
| 8.885872
| 9.044942
|
1711.00523
|
Peter Freund
|
Peter G.O. Freund
|
p-adic Strings Then and Now
|
9 pages; This invited paper at the Sixth International Conference on
p-adic Mathematical Physics and its Applications, Mexico-City, October 2017
is dedicated to my friend, the distinguished physicist, Thomas Curtright on
the occasion of his ecliptic 69th birthday
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
After a brief review of the idea and main results of the original p-adic
string work, I describe the recent interest in p-adic strings in the context of
AdS/CFT duality
|
[
{
"created": "Wed, 1 Nov 2017 19:46:43 GMT",
"version": "v1"
}
] |
2017-11-03
|
[
[
"Freund",
"Peter G. O.",
""
]
] |
After a brief review of the idea and main results of the original p-adic string work, I describe the recent interest in p-adic strings in the context of AdS/CFT duality
| 11.785243
| 6.550511
| 7.322999
| 6.42766
| 6.342945
| 6.525613
| 6.586352
| 5.756742
| 6.346127
| 7.658055
| 6.971617
| 6.343868
| 7.514577
| 6.309511
| 6.501968
| 6.518104
| 6.162909
| 6.615098
| 6.543334
| 6.397083
| 6.4626
|
hep-th/9504089
|
Jan Plefka
|
Jan C. Plefka (Hannover U.)
|
The Supereigenvalue Model in the Double-Scaling Limit
|
19 pages, LaTeX
|
Nucl.Phys.B448:355-372,1995
|
10.1016/0550-3213(95)00289-5
|
ITP-UH-14-95
|
hep-th
| null |
The double-scaling limit of the supereigenvalue model is performed in the
moment description. This description proves extremely useful for the
identification of the multi-critical points in the space of bosonic and
fermionic coupling constants. An iterative procedure for the calculation of
higher-genus contributions to the free energy and to the multi-loop correlators
in the double-scaling limit is developed. We present the general structure of
these quantities at genus g and give explicit results up to and including genus
two.
|
[
{
"created": "Tue, 18 Apr 1995 17:11:03 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Plefka",
"Jan C.",
"",
"Hannover U."
]
] |
The double-scaling limit of the supereigenvalue model is performed in the moment description. This description proves extremely useful for the identification of the multi-critical points in the space of bosonic and fermionic coupling constants. An iterative procedure for the calculation of higher-genus contributions to the free energy and to the multi-loop correlators in the double-scaling limit is developed. We present the general structure of these quantities at genus g and give explicit results up to and including genus two.
| 9.500321
| 6.171775
| 9.273589
| 7.072959
| 6.408997
| 6.178694
| 6.628122
| 6.762714
| 7.156812
| 9.602653
| 7.403033
| 7.574504
| 9.62806
| 8.004586
| 7.709989
| 8.038058
| 7.690149
| 7.914228
| 8.124967
| 10.273745
| 7.78136
|
1806.08376
|
Mario Flory
|
Mario Flory and Nina Miekley
|
Complexity change under conformal transformations in AdS$_{3}$/CFT$_{2}$
|
v2: 23 pages, 5 figures, added references and one entirely new
section about a comparison to a field theory proposal v3: 27 pages, 5
figures, minor improvements. Matches published version
|
JHEP 1905 (2019) 003
|
10.1007/JHEP05(2019)003
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using the volume proposal, we compute the change of complexity of holographic
states caused by a small conformal transformation in AdS$_{3}$/CFT$_{2}$. This
computation is done perturbatively to second order. We give a general result
and discuss some of its properties. As operators generating such conformal
transformations can be explicitly constructed in CFT terms, these results allow
for a comparison between holographic methods of defining and computing
computational complexity and purely field-theoretic proposals. A comparison of
our results to one such proposal is given.
|
[
{
"created": "Thu, 21 Jun 2018 18:11:01 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Oct 2018 18:09:44 GMT",
"version": "v2"
},
{
"created": "Sat, 8 Jun 2019 12:30:10 GMT",
"version": "v3"
}
] |
2019-06-11
|
[
[
"Flory",
"Mario",
""
],
[
"Miekley",
"Nina",
""
]
] |
Using the volume proposal, we compute the change of complexity of holographic states caused by a small conformal transformation in AdS$_{3}$/CFT$_{2}$. This computation is done perturbatively to second order. We give a general result and discuss some of its properties. As operators generating such conformal transformations can be explicitly constructed in CFT terms, these results allow for a comparison between holographic methods of defining and computing computational complexity and purely field-theoretic proposals. A comparison of our results to one such proposal is given.
| 13.301751
| 10.213852
| 12.223639
| 9.542772
| 9.446978
| 9.608154
| 9.889288
| 10.006309
| 9.657338
| 11.583801
| 9.853094
| 9.886077
| 11.161239
| 9.90601
| 10.122616
| 9.90673
| 9.730805
| 9.444174
| 9.775681
| 11.150415
| 10.000277
|
hep-th/9204075
|
Gabriele Ferretti
|
G. Ferretti, S.G.Rajeev and Z. Yang
|
The Effective Lagrangian of Three Dimensional Quantum Chromodynamics
|
18 pages
|
Int.J.Mod.Phys. A7 (1992) 7989-8000
|
10.1142/S0217751X92003616
| null |
hep-th
| null |
We consider the low energy limit of three dimensional Quantum Chromodynamics
with an even number of flavors. We show that Parity is not spontaneously
broken, but the global (flavor) symmetry is spontaneously broken. The low
energy effective lagrangian is a nonlinear sigma model on the Grassmannian.
Some Chern--Simons terms are necessary in the lagrangian to realize the
discrete symmetries correctly. We consider also another parametrization of the
low energy sector which leads to a three dimensional analogue of the
Wess--Zumino--Witten--Novikov model. Since three dimensional QCD is believed to
be a model for quantum anti--ferromagnetism, our effective lagrangian can
describe their long wavelength excitations (spin waves).
|
[
{
"created": "Thu, 23 Apr 1992 16:34:00 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Ferretti",
"G.",
""
],
[
"Rajeev",
"S. G.",
""
],
[
"Yang",
"Z.",
""
]
] |
We consider the low energy limit of three dimensional Quantum Chromodynamics with an even number of flavors. We show that Parity is not spontaneously broken, but the global (flavor) symmetry is spontaneously broken. The low energy effective lagrangian is a nonlinear sigma model on the Grassmannian. Some Chern--Simons terms are necessary in the lagrangian to realize the discrete symmetries correctly. We consider also another parametrization of the low energy sector which leads to a three dimensional analogue of the Wess--Zumino--Witten--Novikov model. Since three dimensional QCD is believed to be a model for quantum anti--ferromagnetism, our effective lagrangian can describe their long wavelength excitations (spin waves).
| 7.956346
| 6.833223
| 7.739727
| 6.759962
| 7.35692
| 7.235804
| 7.393313
| 7.079005
| 7.410015
| 8.180718
| 7.16625
| 7.233521
| 7.547715
| 7.258739
| 7.07083
| 6.973636
| 7.157324
| 7.150317
| 7.056329
| 7.565238
| 7.433758
|
1606.05653
|
Fabian Ruehle
|
Wilfried Buchmuller, Markus Dierigl, Fabian Ruehle, Julian Schweizer
|
de Sitter vacua and supersymmetry breaking in six-dimensional flux
compactifications
|
28 pages, 3 figures, 2 tables
|
Phys. Rev. D 94, 025025 (2016)
|
10.1103/PhysRevD.94.025025
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider six-dimensional supergravity with Abelian bulk flux compactified
on an orbifold. The effective low-energy action can be expressed in terms of
N=1 chiral moduli superfields with a gauged shift symmetry. The D-term
potential contains two Fayet-Iliopoulos terms which are induced by the flux and
by the Green-Schwarz term canceling the gauge anomalies, respectively. The
Green-Schwarz term also leads to a correction of the gauge kinetic function
which turns out to be crucial for the existence of Minkowski and de Sitter
vacua. Moduli stabilization is achieved by the interplay of the D-term and a
nonperturbative superpotential. Varying the gauge coupling and the
superpotential parameters, the scale of the extra dimensions can range from the
GUT scale down to the TeV scale. Supersymmetry is broken by F- and D-terms, and
the scale of gravitino, moduli, and modulini masses is determined by the size
of the compact dimensions.
|
[
{
"created": "Fri, 17 Jun 2016 20:00:07 GMT",
"version": "v1"
}
] |
2016-07-20
|
[
[
"Buchmuller",
"Wilfried",
""
],
[
"Dierigl",
"Markus",
""
],
[
"Ruehle",
"Fabian",
""
],
[
"Schweizer",
"Julian",
""
]
] |
We consider six-dimensional supergravity with Abelian bulk flux compactified on an orbifold. The effective low-energy action can be expressed in terms of N=1 chiral moduli superfields with a gauged shift symmetry. The D-term potential contains two Fayet-Iliopoulos terms which are induced by the flux and by the Green-Schwarz term canceling the gauge anomalies, respectively. The Green-Schwarz term also leads to a correction of the gauge kinetic function which turns out to be crucial for the existence of Minkowski and de Sitter vacua. Moduli stabilization is achieved by the interplay of the D-term and a nonperturbative superpotential. Varying the gauge coupling and the superpotential parameters, the scale of the extra dimensions can range from the GUT scale down to the TeV scale. Supersymmetry is broken by F- and D-terms, and the scale of gravitino, moduli, and modulini masses is determined by the size of the compact dimensions.
| 5.441737
| 5.559114
| 5.490504
| 4.973636
| 5.55047
| 5.296724
| 5.475931
| 5.387408
| 4.889244
| 5.80473
| 5.308744
| 5.263869
| 5.13903
| 5.139224
| 5.287168
| 5.315949
| 5.173895
| 5.177629
| 5.026166
| 5.124018
| 5.19873
|
0907.3665
|
Joyce Myers
|
Timothy J. Hollowood, Joyce C. Myers
|
Finite Volume Phases of Large N Gauge Theories with Massive Adjoint
Fermions
|
31 pages, 12 figures, jhep3 format; v2: references and small
clarifications added, justification added for finite N calculations
|
JHEP 0911:008,2009
|
10.1088/1126-6708/2009/11/008
| null |
hep-th hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The phase structure of QCD-like gauge theories with fermions in various
representations is an interesting but generally analytically intractable
problem. One way to ensure weak coupling is to define the theory in a small
finite volume, in this case S^3 x S^1. Genuine phase transitions can then occur
in the large N theory. Here, we use this technique to investigate SU(N) gauge
theory with a number N_f of massive adjoint-valued Majorana fermions having
non-thermal boundary conditions around S^1. For N_f =1 we find a line of
transitions that separate the weak-coupling analogues of the confined and
de-confined phases for which the density of eigenvalues of the Wilson line
transform from the uniform distribution to a gapped distribution. However, the
situation for N_f >1 is much richer and a series of weak-coupling analogues of
partially-confined phases appear which leave unbroken a Z_p subgroup of the
centre symmetry. In these Z_p phases the eigenvalue density has p gaps and they
are separated from the confining phase and from one-another by first order
phase transitions. We show that for small enough mR (the mass of the fermions
times the radius of the S^3) only the confined phase exists. The large N phase
diagram is consistent with the finite N result and with other approaches based
on R^3 x S^1 calculations and lattice simulations.
|
[
{
"created": "Tue, 21 Jul 2009 14:29:10 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Sep 2009 13:00:38 GMT",
"version": "v2"
}
] |
2009-11-13
|
[
[
"Hollowood",
"Timothy J.",
""
],
[
"Myers",
"Joyce C.",
""
]
] |
The phase structure of QCD-like gauge theories with fermions in various representations is an interesting but generally analytically intractable problem. One way to ensure weak coupling is to define the theory in a small finite volume, in this case S^3 x S^1. Genuine phase transitions can then occur in the large N theory. Here, we use this technique to investigate SU(N) gauge theory with a number N_f of massive adjoint-valued Majorana fermions having non-thermal boundary conditions around S^1. For N_f =1 we find a line of transitions that separate the weak-coupling analogues of the confined and de-confined phases for which the density of eigenvalues of the Wilson line transform from the uniform distribution to a gapped distribution. However, the situation for N_f >1 is much richer and a series of weak-coupling analogues of partially-confined phases appear which leave unbroken a Z_p subgroup of the centre symmetry. In these Z_p phases the eigenvalue density has p gaps and they are separated from the confining phase and from one-another by first order phase transitions. We show that for small enough mR (the mass of the fermions times the radius of the S^3) only the confined phase exists. The large N phase diagram is consistent with the finite N result and with other approaches based on R^3 x S^1 calculations and lattice simulations.
| 9.204322
| 9.717521
| 10.243677
| 9.141154
| 9.799798
| 9.872625
| 9.656673
| 9.273255
| 9.479865
| 10.480713
| 8.957717
| 9.172043
| 9.19372
| 8.820035
| 9.047503
| 9.391273
| 8.993473
| 9.35344
| 9.071603
| 9.104259
| 9.001898
|
1105.0537
|
Konstadinos Sfetsos
|
Konstadinos Sfetsos
|
Recent developments in non-Abelian T-duality in string theory
|
8 pages, Proceedings contribution to the 10th Hellenic School on
Elementary Particle Physics and Gravity, Corfu, Greece, September 2010
| null |
10.1002/prop.201100063
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We briefly review the essential points of our recent work in non-Abelian
T-duality. In particular, we show how non-abelian T-duals can effectively
describe infinitely high spin sectors of a parent theory and how to implement
the transformation in the presence of non-vanishing Ramond fields in type-II
supergravity.
|
[
{
"created": "Tue, 3 May 2011 10:29:51 GMT",
"version": "v1"
}
] |
2015-05-28
|
[
[
"Sfetsos",
"Konstadinos",
""
]
] |
We briefly review the essential points of our recent work in non-Abelian T-duality. In particular, we show how non-abelian T-duals can effectively describe infinitely high spin sectors of a parent theory and how to implement the transformation in the presence of non-vanishing Ramond fields in type-II supergravity.
| 12.353279
| 10.284027
| 13.529832
| 9.909987
| 10.151246
| 9.440459
| 10.31663
| 9.780324
| 10.554989
| 13.47419
| 10.240044
| 10.767223
| 11.402275
| 10.481092
| 10.928407
| 10.326056
| 9.974807
| 10.466581
| 10.742682
| 11.121617
| 10.440589
|
hep-th/9410045
|
Hu Zhan-ning
|
Zhan-Ning Hu
|
Weyl Pair, Current Algebra and Shift Operator
|
8 pages, latex file, AS-ITP-94-52
| null |
10.1016/0375-9601(94)00988-2
| null |
hep-th
| null |
The Abelian current algebra on the lattice is given from a series of the
independent Weyl pairs and the shift operator is constructed by this algebra.
So the realization of the operators of the braid group is obtained. For
$|q|\neq 1$ the shift operator is the product of the theta functions of the
generators $w_n$ of the current algebra. For $|q|=1$ it can be expressed by the
quantum dilogarithm of $w_n$.
|
[
{
"created": "Sat, 8 Oct 1994 02:28:18 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Hu",
"Zhan-Ning",
""
]
] |
The Abelian current algebra on the lattice is given from a series of the independent Weyl pairs and the shift operator is constructed by this algebra. So the realization of the operators of the braid group is obtained. For $|q|\neq 1$ the shift operator is the product of the theta functions of the generators $w_n$ of the current algebra. For $|q|=1$ it can be expressed by the quantum dilogarithm of $w_n$.
| 12.460914
| 11.617661
| 12.384305
| 10.530962
| 11.831539
| 11.858788
| 11.226963
| 10.69861
| 12.35001
| 15.606521
| 11.047609
| 10.942567
| 11.987288
| 10.937262
| 11.075465
| 11.131433
| 11.375399
| 10.909062
| 11.029847
| 12.323793
| 10.968948
|
2010.01675
|
Gregory Moore
|
Roman Geiko and Gregory W. Moore
|
Dyson's Classification And Real Division Superalgebras
|
26pp; Minor revisions and typo corrections
| null |
10.1007/JHEP04(2021)299
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
It is well-known that unitary irreducible representations of groups can be
usefully classified in a 3-fold classification scheme: Real, Complex,
Quaternionic. In 1962 Freeman Dyson pointed out that there is an analogous
10-fold classification of irreducible representations of groups involving both
unitary and antiunitary operators. More recently it was realized that there is
also a 10-fold classification scheme involving superdivision algebras. Here we
give a careful proof of the equivalence of these two 10-fold ways.
|
[
{
"created": "Sun, 4 Oct 2020 20:33:42 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Aug 2021 22:32:53 GMT",
"version": "v2"
}
] |
2021-08-25
|
[
[
"Geiko",
"Roman",
""
],
[
"Moore",
"Gregory W.",
""
]
] |
It is well-known that unitary irreducible representations of groups can be usefully classified in a 3-fold classification scheme: Real, Complex, Quaternionic. In 1962 Freeman Dyson pointed out that there is an analogous 10-fold classification of irreducible representations of groups involving both unitary and antiunitary operators. More recently it was realized that there is also a 10-fold classification scheme involving superdivision algebras. Here we give a careful proof of the equivalence of these two 10-fold ways.
| 8.140648
| 9.426311
| 9.568933
| 8.141755
| 9.725598
| 8.868172
| 8.279449
| 8.693219
| 8.216145
| 9.628811
| 8.57227
| 8.154538
| 8.679139
| 8.01922
| 7.7968
| 7.997788
| 7.659653
| 8.19756
| 8.119865
| 8.818011
| 7.797082
|
hep-th/0206087
|
Panagiota Kanti
|
John Ellis, P. Kanti and D.V. Nanopoulos
|
Intersecting Branes Flip SU(5)
|
18 pages, Latex file, some clarifying comments added, version to
appear in Nuclear Physics B
|
Nucl.Phys.B647:235-251,2002
|
10.1016/S0550-3213(02)00935-5
|
ACT-05/02, CERN-TH/2002-121, CTP-12/02
|
hep-th hep-ph
| null |
Within a toroidal orbifold framework, we exhibit intersecting brane-world
constructions of flipped SU(5) \times U(1) GUT models with various numbers of
generations, other chiral matter representations and Higgs representations. We
exhibit orientifold constructions with integer winding numbers that yield 8 or
more conventional SU(5) generations, and orbifold constructions with fractional
winding numbers that yield flipped SU(5) \times U(1) models with just 3
conventional generations. Some of these models have candidates for the 5 and
{\bar 5} Higgs representations needed for electroweak symmetry breaking, but
not for the 10 and {\bar 10} representations needed for GUT symmetry breaking.
We have also derived models with complete GUT and electroweak Higgs sectors,
but these have undesirable extra chiral matter.
|
[
{
"created": "Tue, 11 Jun 2002 15:29:21 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Jul 2002 16:14:03 GMT",
"version": "v2"
},
{
"created": "Thu, 31 Oct 2002 11:38:46 GMT",
"version": "v3"
}
] |
2009-09-11
|
[
[
"Ellis",
"John",
""
],
[
"Kanti",
"P.",
""
],
[
"Nanopoulos",
"D. V.",
""
]
] |
Within a toroidal orbifold framework, we exhibit intersecting brane-world constructions of flipped SU(5) \times U(1) GUT models with various numbers of generations, other chiral matter representations and Higgs representations. We exhibit orientifold constructions with integer winding numbers that yield 8 or more conventional SU(5) generations, and orbifold constructions with fractional winding numbers that yield flipped SU(5) \times U(1) models with just 3 conventional generations. Some of these models have candidates for the 5 and {\bar 5} Higgs representations needed for electroweak symmetry breaking, but not for the 10 and {\bar 10} representations needed for GUT symmetry breaking. We have also derived models with complete GUT and electroweak Higgs sectors, but these have undesirable extra chiral matter.
| 6.536876
| 6.139657
| 6.409639
| 5.757819
| 6.093686
| 6.058047
| 6.630598
| 5.951374
| 6.051699
| 7.020129
| 6.332348
| 6.224133
| 6.59491
| 6.200707
| 6.083238
| 6.1018
| 6.195288
| 6.208194
| 6.564562
| 6.519604
| 6.079323
|
2212.03766
|
Boris Merzlikin
|
I.L. Buchbinder, E.A. Ivanov, B.S. Merzlikin, K.V. Stepanyantz
|
On two-loop divergences of effective action in $6D$, ${\cal N}=(1,1)$
SYM theory
|
1+25 pages, appendices added
| null |
10.1007/JHEP05(2023)089
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the off-shell structure of the two-loop effective action in $6D,
{\cal N}=(1,1)$ supersymmetric gauge theories formulated in ${\cal N}=(1,0)$
harmonic superspace. The off-shell effective action involving all fields of
$6D, {\cal N}=(1,1)$ supermultiplet is constructed by the harmonic superfield
background field method, which ensures both manifest gauge covariance and
manifest ${\cal N}=(1,0)$ supersymmetry. We analyze the off-shell divergences
dependent on both gauge and hypermultiplet superfields and argue that the gauge
invariance of the divergences is consistent with the non-locality in harmonics.
The two-loop contributions to the effective action are given by harmonic
supergraphs with the background gauge and hypermultiplet superfields. The
procedure is developed to operate with the harmonic-dependent superpropagators
in the two-loop supergraphs within the superfield dimensional regularization.
We explicitly calculate the gauge and the hypermultiplet-mixed divergences as
the coefficients of $\frac{1}{{\varepsilon}^2}$ and demonstrate that the
corresponding expressions are non-local in harmonics.
|
[
{
"created": "Wed, 7 Dec 2022 16:37:28 GMT",
"version": "v1"
},
{
"created": "Tue, 16 May 2023 14:37:42 GMT",
"version": "v2"
}
] |
2023-05-31
|
[
[
"Buchbinder",
"I. L.",
""
],
[
"Ivanov",
"E. A.",
""
],
[
"Merzlikin",
"B. S.",
""
],
[
"Stepanyantz",
"K. V.",
""
]
] |
We study the off-shell structure of the two-loop effective action in $6D, {\cal N}=(1,1)$ supersymmetric gauge theories formulated in ${\cal N}=(1,0)$ harmonic superspace. The off-shell effective action involving all fields of $6D, {\cal N}=(1,1)$ supermultiplet is constructed by the harmonic superfield background field method, which ensures both manifest gauge covariance and manifest ${\cal N}=(1,0)$ supersymmetry. We analyze the off-shell divergences dependent on both gauge and hypermultiplet superfields and argue that the gauge invariance of the divergences is consistent with the non-locality in harmonics. The two-loop contributions to the effective action are given by harmonic supergraphs with the background gauge and hypermultiplet superfields. The procedure is developed to operate with the harmonic-dependent superpropagators in the two-loop supergraphs within the superfield dimensional regularization. We explicitly calculate the gauge and the hypermultiplet-mixed divergences as the coefficients of $\frac{1}{{\varepsilon}^2}$ and demonstrate that the corresponding expressions are non-local in harmonics.
| 6.318482
| 5.632971
| 7.04856
| 5.852376
| 5.9108
| 6.094893
| 5.856363
| 5.75701
| 5.738713
| 7.458061
| 5.863321
| 5.763618
| 6.604468
| 5.950212
| 6.082943
| 5.901615
| 5.991221
| 5.978032
| 5.943765
| 6.515343
| 5.951045
|
1507.02584
|
Leonard Susskind
|
Leonard Susskind
|
Electromagnetic Memory
|
5 pages
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
An elementary derivation of the electromagnetic memory effect is given. An
experimental setup to detect it is suggested.
|
[
{
"created": "Thu, 9 Jul 2015 16:37:49 GMT",
"version": "v1"
},
{
"created": "Mon, 20 May 2019 00:03:00 GMT",
"version": "v2"
}
] |
2019-05-21
|
[
[
"Susskind",
"Leonard",
""
]
] |
An elementary derivation of the electromagnetic memory effect is given. An experimental setup to detect it is suggested.
| 27.009789
| 16.675583
| 14.472383
| 12.250866
| 15.643516
| 12.292331
| 13.966313
| 13.376825
| 12.923181
| 14.519382
| 13.048004
| 16.193722
| 15.220335
| 15.112339
| 16.322147
| 16.375708
| 15.238702
| 14.530359
| 17.274694
| 15.36984
| 19.748995
|
hep-th/0002149
| null |
Massimo Bianchi & Jose F. Morales (Dipartimento di Fisica and INFN,
Universita` di Roma ``Tor Vergata'')
|
Anomalies & Tadpoles
|
20 pages, Latex
|
JHEP 0003 (2000) 030
|
10.1088/1126-6708/2000/03/030
|
ROM2F/00/13
|
hep-th
| null |
We show that massless RR tadpoles in vacuum configurations with open and
unoriented strings are always related to anomalies. RR tadpoles arising from
sectors of the internal SCFT with non-vanishing Witten index are in one-to-one
correspondence with conventional irreducible anomalies. The anomalous content
of the remaining RR tadpoles can be disclosed by considering anomalous
amplitudes with higher numbers of external legs. We then provide an explicit
parametrization of the anomaly polynomial in terms of the boundary reflection
coefficients, i.e. one-point functions of massless RR fields on the disk. After
factorization of the reducible anomaly, we extract the relevant WZ couplings in
the effective lagrangians.
|
[
{
"created": "Thu, 17 Feb 2000 19:55:55 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Bianchi",
"Massimo",
"",
"Dipartimento di Fisica and INFN,\n Universita` di Roma ``Tor Vergata''"
],
[
"Morales",
"Jose F.",
"",
"Dipartimento di Fisica and INFN,\n Universita` di Roma ``Tor Vergata''"
]
] |
We show that massless RR tadpoles in vacuum configurations with open and unoriented strings are always related to anomalies. RR tadpoles arising from sectors of the internal SCFT with non-vanishing Witten index are in one-to-one correspondence with conventional irreducible anomalies. The anomalous content of the remaining RR tadpoles can be disclosed by considering anomalous amplitudes with higher numbers of external legs. We then provide an explicit parametrization of the anomaly polynomial in terms of the boundary reflection coefficients, i.e. one-point functions of massless RR fields on the disk. After factorization of the reducible anomaly, we extract the relevant WZ couplings in the effective lagrangians.
| 12.971287
| 12.308994
| 13.940627
| 13.237975
| 12.468059
| 12.858114
| 12.174338
| 13.139614
| 12.755126
| 15.871468
| 11.474308
| 12.495102
| 13.204062
| 12.26683
| 12.374602
| 12.970863
| 12.313782
| 12.540996
| 12.784196
| 13.251575
| 12.369379
|
1506.03907
|
Daniel Krefl
|
Daniel Krefl and Ruben L. Mkrtchyan
|
Exact Chern-Simons / Topological String duality
|
32 pages
| null | null |
SNUTP15-004
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We invoke universal Chern-Simons theory to analytically calculate the exact
free energy of the refined topological string on the resolved conifold. In the
unrefined limit we reproduce non-perturbative corrections for the resolved
conifold found elsewhere in the literature, thereby providing strong evidence
that the Chern-Simons / topological string duality is exact, and in particular
holds at arbitrary N as well. In the refined case, the non-perturbative
corrections we find are novel and appear to be non-trivial. We show that
non-perturbatively special treatment is needed for rational valued deformation
parameter. Above results are also extend to refined Chern-Simons with
orthogonal groups.
|
[
{
"created": "Fri, 12 Jun 2015 06:19:41 GMT",
"version": "v1"
}
] |
2015-06-15
|
[
[
"Krefl",
"Daniel",
""
],
[
"Mkrtchyan",
"Ruben L.",
""
]
] |
We invoke universal Chern-Simons theory to analytically calculate the exact free energy of the refined topological string on the resolved conifold. In the unrefined limit we reproduce non-perturbative corrections for the resolved conifold found elsewhere in the literature, thereby providing strong evidence that the Chern-Simons / topological string duality is exact, and in particular holds at arbitrary N as well. In the refined case, the non-perturbative corrections we find are novel and appear to be non-trivial. We show that non-perturbatively special treatment is needed for rational valued deformation parameter. Above results are also extend to refined Chern-Simons with orthogonal groups.
| 10.745216
| 11.063018
| 14.14542
| 10.590415
| 11.315832
| 10.705466
| 10.913126
| 10.650461
| 10.692977
| 12.780465
| 10.538755
| 10.220416
| 11.913999
| 10.347491
| 10.823125
| 11.164373
| 10.675263
| 10.661048
| 10.760771
| 11.312938
| 10.428021
|
0807.3039
|
Carlos Nunez
|
Carlos Hoyos-Badajoz, Carlos Nunez and Ioannis Papadimitriou
|
Comments on the String dual to N=1 SQCD
|
50 pages plus appendixes. Three figures and two tables
|
Phys.Rev.D78:086005,2008
|
10.1103/PhysRevD.78.086005
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the String dual to N=1 SQCD deformed by a quartic superpotential in
the quark superfields. We present a unified view of the previous results in the
literature and find new exact solutions and new asymptotic solutions. Then we
study the Physics encoded in these backgrounds, giving among other things a
resolution to an old puzzle related to the beta function and a sufficient
criteria for screening. We also extend our results to the SO(Nc) case where we
present a candidate for the Wilson loop in the spinorial representation.
Various aspects of this line of research are critically analyzed.
|
[
{
"created": "Fri, 18 Jul 2008 20:00:09 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Hoyos-Badajoz",
"Carlos",
""
],
[
"Nunez",
"Carlos",
""
],
[
"Papadimitriou",
"Ioannis",
""
]
] |
We study the String dual to N=1 SQCD deformed by a quartic superpotential in the quark superfields. We present a unified view of the previous results in the literature and find new exact solutions and new asymptotic solutions. Then we study the Physics encoded in these backgrounds, giving among other things a resolution to an old puzzle related to the beta function and a sufficient criteria for screening. We also extend our results to the SO(Nc) case where we present a candidate for the Wilson loop in the spinorial representation. Various aspects of this line of research are critically analyzed.
| 14.064597
| 13.145822
| 15.361563
| 13.46167
| 14.267015
| 13.290405
| 14.077724
| 13.362207
| 13.71305
| 15.687488
| 13.0075
| 13.531107
| 13.535995
| 12.812934
| 12.929971
| 13.322098
| 13.472539
| 12.719432
| 13.07828
| 13.655992
| 13.251842
|
1708.09660
|
H. W. Braden
|
H.W. Braden and V.Z. Enolski
|
The Construction of Monopoles
|
21 pages, revised
| null |
10.1007/s00220-018-3199-4
|
EMPG-17-10
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the Higgs and gauge fields for a BPS monopole may be constructed
directly from the spectral curve without having to solve the gauge constraint
needed to obtain the Nahm data. The result is the analogue of the instanton
result: given ADHM data one can reconstruct the gauge fields algebraically
together with differentiation. Here, given the spectral curve, one can
similarly reconstruct the Higgs and gauge fields. This answers a problem that
has remained open since the discovery of monopoles.
|
[
{
"created": "Thu, 31 Aug 2017 11:01:05 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Dec 2017 13:53:22 GMT",
"version": "v2"
}
] |
2018-08-15
|
[
[
"Braden",
"H. W.",
""
],
[
"Enolski",
"V. Z.",
""
]
] |
We show that the Higgs and gauge fields for a BPS monopole may be constructed directly from the spectral curve without having to solve the gauge constraint needed to obtain the Nahm data. The result is the analogue of the instanton result: given ADHM data one can reconstruct the gauge fields algebraically together with differentiation. Here, given the spectral curve, one can similarly reconstruct the Higgs and gauge fields. This answers a problem that has remained open since the discovery of monopoles.
| 11.88605
| 10.137965
| 14.588507
| 10.791728
| 11.104567
| 12.380941
| 11.054123
| 10.10465
| 10.826545
| 12.512745
| 10.54629
| 10.650629
| 11.736896
| 11.185729
| 10.996401
| 11.090211
| 10.701529
| 11.213964
| 11.088532
| 12.533454
| 10.479838
|
1703.00462
|
Konstantinos Siampos
|
George Georgiou, Eftychia Sagkrioti, Konstantinos Sfetsos,
Konstantinos Siampos
|
Quantum aspects of doubly deformed CFTs
|
1+26 pages, Latex
| null |
10.1016/j.nuclphysb.2017.04.004
|
CPHT-RR002.012017
|
hep-th math-ph math.MP nlin.SI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study quantum aspects of the recently constructed doubly lambda-deformed
sigma-models representing the effective action of two WZW models interacting
via current bilinears. We show that although the exact beta-functions and
current anomalous dimensions are identical to those of the lambda-deformed
models, this is not true for the anomalous dimensions of generic primary field
operators in accordance with the fact that the two models differ drastically.
Our proofs involve CFT arguments, as well as effective sigma-model action and
gravity calculations.
|
[
{
"created": "Wed, 1 Mar 2017 19:00:43 GMT",
"version": "v1"
}
] |
2017-04-11
|
[
[
"Georgiou",
"George",
""
],
[
"Sagkrioti",
"Eftychia",
""
],
[
"Sfetsos",
"Konstantinos",
""
],
[
"Siampos",
"Konstantinos",
""
]
] |
We study quantum aspects of the recently constructed doubly lambda-deformed sigma-models representing the effective action of two WZW models interacting via current bilinears. We show that although the exact beta-functions and current anomalous dimensions are identical to those of the lambda-deformed models, this is not true for the anomalous dimensions of generic primary field operators in accordance with the fact that the two models differ drastically. Our proofs involve CFT arguments, as well as effective sigma-model action and gravity calculations.
| 15.997338
| 14.320313
| 18.725733
| 15.567285
| 17.054485
| 14.669692
| 16.165936
| 16.515312
| 15.161197
| 19.923908
| 15.16193
| 16.136978
| 17.001696
| 15.295878
| 15.215147
| 15.465828
| 15.533937
| 15.511433
| 15.725177
| 17.241953
| 14.867654
|
hep-th/0111175
|
Margarida Negrao
|
M. S. Goes-Negrao (UCP-RJ), J. A. Helayel-Neto (UCP-RJ and
CCP/CBPF-RJ)and M. R. Negrao (UCP-RJ)
|
Coupling Nonlinear Sigma-Models to Relaxed Yang- Mills Supermultiplets
in (2,0)-Superspace
|
11 pages, Latex
|
Int.J.Mod.Phys. A18 (2003) 1991-2000
|
10.1142/S0217751X03015416
| null |
hep-th
| null |
Following a previous work on Abelian (2,0)-gauge theories, one reassesses
here the task of coupling (2,0) relaxed Yang-Mills superpotentials to a (2,0)-
nonlinear $\sigma$-model, by gauging the isotropy or the isometry group of the
latter. One pays special attention to the extra ``chiral-like'' component-field
gauge potential that comes out from the relaxation of superspace constraints.
|
[
{
"created": "Tue, 20 Nov 2001 19:44:05 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Goes-Negrao",
"M. S.",
"",
"UCP-RJ"
],
[
"Helayel-Neto",
"J. A.",
"",
"UCP-RJ and\n CCP/CBPF-RJ"
],
[
"Negrao",
"and M. R.",
"",
"UCP-RJ"
]
] |
Following a previous work on Abelian (2,0)-gauge theories, one reassesses here the task of coupling (2,0) relaxed Yang-Mills superpotentials to a (2,0)- nonlinear $\sigma$-model, by gauging the isotropy or the isometry group of the latter. One pays special attention to the extra ``chiral-like'' component-field gauge potential that comes out from the relaxation of superspace constraints.
| 20.349779
| 11.348156
| 18.846792
| 12.676234
| 11.708362
| 10.653088
| 11.560754
| 11.55794
| 13.698519
| 20.985252
| 13.561802
| 15.501595
| 18.019701
| 16.114845
| 15.528835
| 15.814058
| 15.365655
| 15.616182
| 15.614117
| 18.776762
| 15.865157
|
hep-th/9605189
|
J. S. Prakash
|
J. S. Prakash
|
An Auxiliary 'Differential Measure' for $SU(3)$
|
RevTex 3.0, 30 pages, no figures; Latex error corrected
| null | null |
IP--BBSR--95/76
|
hep-th
| null |
A 'differential measure' is used to cast our calculus for the group $SU(3)$
into a form similar to Schwinger's boson operator calculus for the group
$SU(2)$. It is then applied to compute (i) the inner product between the basis
states and (ii) an algebraic formula for the Clebsch-Gordan coefficients. These
were obtained earlier by us using Gaussian integration techniques.
|
[
{
"created": "Mon, 27 May 1996 16:19:01 GMT",
"version": "v1"
},
{
"created": "Wed, 29 May 1996 15:51:07 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Prakash",
"J. S.",
""
]
] |
A 'differential measure' is used to cast our calculus for the group $SU(3)$ into a form similar to Schwinger's boson operator calculus for the group $SU(2)$. It is then applied to compute (i) the inner product between the basis states and (ii) an algebraic formula for the Clebsch-Gordan coefficients. These were obtained earlier by us using Gaussian integration techniques.
| 12.341283
| 10.181865
| 11.478301
| 10.174519
| 11.303576
| 10.277037
| 11.184161
| 11.06319
| 10.180124
| 11.262843
| 10.905539
| 9.722177
| 10.265689
| 9.530158
| 9.679989
| 9.642863
| 9.526319
| 9.846408
| 9.96142
| 10.57831
| 10.04955
|
hep-th/9302075
|
S. Kalyana Rama
|
S. Kalyana Rama
|
Tachyon Splits the (d = 2 String) Black Hole Horizon and Turns it
Singular
|
8 (12) pages [ single (double) spaced ], TCD-1-93; Revised Version: A
minor change in the Acknowledgement only
|
Phys.Rev.Lett.70:3186-3188,1993
|
10.1103/PhysRevLett.70.3186
| null |
hep-th gr-qc
| null |
We present a static solution for $d = 2$ critical string theory including the
tachyon $T$ but not its potential $V(T)$. This solution thus incorporates
tachyon back reaction and, when $T = 0$, reduces to the black hole solution.
When $T \neq 0$ one finds that (1) the Schwarzschild horizon of the above black
hole splits into two, resembling Reissner-Nordstrom horizons and (2) the
curvature scalar develops new singularities at the horizons. These features, as
we argue, will persist even with $V(T)$ present. Some possible methods for
removing these singularities are discussed.
|
[
{
"created": "Wed, 17 Feb 1993 11:19:24 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Feb 1993 11:17:29 GMT",
"version": "v2"
}
] |
2010-11-01
|
[
[
"Rama",
"S. Kalyana",
""
]
] |
We present a static solution for $d = 2$ critical string theory including the tachyon $T$ but not its potential $V(T)$. This solution thus incorporates tachyon back reaction and, when $T = 0$, reduces to the black hole solution. When $T \neq 0$ one finds that (1) the Schwarzschild horizon of the above black hole splits into two, resembling Reissner-Nordstrom horizons and (2) the curvature scalar develops new singularities at the horizons. These features, as we argue, will persist even with $V(T)$ present. Some possible methods for removing these singularities are discussed.
| 9.159313
| 6.774344
| 8.692069
| 7.595521
| 7.291802
| 7.556596
| 7.249487
| 7.703547
| 7.521149
| 9.547597
| 8.014943
| 8.315597
| 8.810703
| 8.3847
| 8.480419
| 8.39792
| 8.456077
| 8.471082
| 8.476318
| 8.999936
| 8.42157
|
hep-th/0508223
|
Mikhail Plyushchay
|
Francisco Correa, Mariano A. del Olmo and Mikhail S. Plyushchay
|
On hidden broken nonlinear superconformal symmetry of conformal
mechanics and nature of double nonlinear superconformal symmetry
|
8 pages; typos corrected
|
Phys.Lett. B628 (2005) 157-164
|
10.1016/j.physletb.2005.09.046
| null |
hep-th math-ph math.MP quant-ph
| null |
We show that for positive integer values $l$ of the parameter in the
conformal mechanics model the system possesses a hidden nonlinear
superconformal symmetry, in which reflection plays a role of the grading
operator. In addition to the even $so(1,2)\oplus u(1)$-generators, the
superalgebra includes $2l+1$ odd integrals, which form the pair of
spin-$(l+{1/2})$ representations of the bosonic subalgebra and anticommute for
order $2l+1$ polynomials of the even generators. This hidden symmetry, however,
is broken at the level of the states in such a way that the action of the odd
generators violates the boundary condition at the origin. In the earlier
observed double nonlinear superconformal symmetry, arising in the
superconformal mechanics for certain values of the boson-fermion coupling
constant, the higher order symmetry is of the same, broken nature.
|
[
{
"created": "Tue, 30 Aug 2005 08:27:21 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Sep 2005 01:37:25 GMT",
"version": "v2"
},
{
"created": "Tue, 11 Oct 2005 01:13:05 GMT",
"version": "v3"
}
] |
2009-11-11
|
[
[
"Correa",
"Francisco",
""
],
[
"del Olmo",
"Mariano A.",
""
],
[
"Plyushchay",
"Mikhail S.",
""
]
] |
We show that for positive integer values $l$ of the parameter in the conformal mechanics model the system possesses a hidden nonlinear superconformal symmetry, in which reflection plays a role of the grading operator. In addition to the even $so(1,2)\oplus u(1)$-generators, the superalgebra includes $2l+1$ odd integrals, which form the pair of spin-$(l+{1/2})$ representations of the bosonic subalgebra and anticommute for order $2l+1$ polynomials of the even generators. This hidden symmetry, however, is broken at the level of the states in such a way that the action of the odd generators violates the boundary condition at the origin. In the earlier observed double nonlinear superconformal symmetry, arising in the superconformal mechanics for certain values of the boson-fermion coupling constant, the higher order symmetry is of the same, broken nature.
| 9.888359
| 9.526207
| 10.291518
| 9.060194
| 9.860997
| 9.774729
| 9.48132
| 9.44262
| 8.570495
| 11.616522
| 8.779694
| 9.207966
| 9.666647
| 9.23061
| 9.245433
| 9.208507
| 9.384933
| 9.136611
| 9.068078
| 9.89467
| 9.173574
|
hep-th/0409126
|
Geoffroy Piroux
|
Geoffroy Piroux and Philippe Ruelle
|
Boundary height fields in the Abelian sandpile model
|
19 pages, 3 figures
|
J.Phys. A38 (2005) 1451-1472
|
10.1088/0305-4470/38/7/004
| null |
hep-th cond-mat.other cond-mat.stat-mech
| null |
We study the abelian sandpile model on the upper half plane, and reconsider
the correlations of the four height variables lying on the boundary. For more
convenience, we carry out the analysis in the dissipative (massive) extension
of the model and identify the boundary scaling fields corresponding to the four
heights. We find that they all can be accounted for by the massive pertubation
of a c=-2 logarithmic conformal field theory.
|
[
{
"created": "Mon, 13 Sep 2004 15:05:45 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Piroux",
"Geoffroy",
""
],
[
"Ruelle",
"Philippe",
""
]
] |
We study the abelian sandpile model on the upper half plane, and reconsider the correlations of the four height variables lying on the boundary. For more convenience, we carry out the analysis in the dissipative (massive) extension of the model and identify the boundary scaling fields corresponding to the four heights. We find that they all can be accounted for by the massive pertubation of a c=-2 logarithmic conformal field theory.
| 16.353722
| 14.356981
| 19.81525
| 13.183846
| 13.185485
| 13.209207
| 12.154655
| 13.509901
| 13.317788
| 17.436789
| 12.867331
| 14.648453
| 15.222194
| 13.99549
| 14.229526
| 14.476161
| 14.398404
| 14.245855
| 13.730935
| 16.188183
| 14.168406
|
hep-th/9806236
|
Sergey Prokushkin
|
Sergey Prokushkin and Mikhail Vasiliev (Lebedev Physics Institute)
|
Higher-Spin Gauge Interactions for Massive Matter Fields in 3D AdS
Space-Time
|
LaTeX, 46 pages, no figures; minor corrections, typos
|
Nucl.Phys.B545:385,1999
|
10.1016/S0550-3213(98)00839-6
|
FIAN/TD/16-98
|
hep-th
| null |
A remarkable feature of the models with interactions exhibiting higher-spin
(HS) gauge symmetries in $d>2$ is that their most symmetric vacua require
(anti)-de Sitter (AdS) geometry rather than the flat one. In striking
parallelism to what might be expected of M theory HS gauge theories describe
infinite towers of fields of all spins and possess naturally space-time SUSY
and Chan-Paton type inner symmetries. In this paper, we analyze at the level of
the equations of motion the simplest non-trivial HS model which describes HS
gauge interactions (on the top of the usual supergravitational and
(Chern-Simons) Yang-Mills interactions) of massive spin-0 and spin-1/2 matter
fields in d=2+1 AdS space-time. The parameter of mass of the matter fields is
identified with the vev of a certain auxiliary field in the model. The matter
fields are shown to be arranged into d3 N=2 massive hypermultiplets in certain
representations of $U(n)\times U(m)$ Yang-Mills gauge groups. Discrete
symmetries of the full system are studied, and the related N=1 supersymmetric
truncations with O(n) and Sp(n) Yang-Mills symmetries are constructed. The
simplicity of the model allows us to elucidate some general properties of the
HS models. In particular, a new result, which can have interesting implications
to the higher-dimensional models, is that our model is shown to admit an
"integrating" flow that proves existence of a non-local B\"acklund-Nicolai-type
mapping to the free system.
|
[
{
"created": "Mon, 29 Jun 1998 19:26:14 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Jan 1999 15:06:54 GMT",
"version": "v2"
},
{
"created": "Mon, 1 Feb 1999 15:04:26 GMT",
"version": "v3"
}
] |
2011-08-03
|
[
[
"Prokushkin",
"Sergey",
"",
"Lebedev Physics Institute"
],
[
"Vasiliev",
"Mikhail",
"",
"Lebedev Physics Institute"
]
] |
A remarkable feature of the models with interactions exhibiting higher-spin (HS) gauge symmetries in $d>2$ is that their most symmetric vacua require (anti)-de Sitter (AdS) geometry rather than the flat one. In striking parallelism to what might be expected of M theory HS gauge theories describe infinite towers of fields of all spins and possess naturally space-time SUSY and Chan-Paton type inner symmetries. In this paper, we analyze at the level of the equations of motion the simplest non-trivial HS model which describes HS gauge interactions (on the top of the usual supergravitational and (Chern-Simons) Yang-Mills interactions) of massive spin-0 and spin-1/2 matter fields in d=2+1 AdS space-time. The parameter of mass of the matter fields is identified with the vev of a certain auxiliary field in the model. The matter fields are shown to be arranged into d3 N=2 massive hypermultiplets in certain representations of $U(n)\times U(m)$ Yang-Mills gauge groups. Discrete symmetries of the full system are studied, and the related N=1 supersymmetric truncations with O(n) and Sp(n) Yang-Mills symmetries are constructed. The simplicity of the model allows us to elucidate some general properties of the HS models. In particular, a new result, which can have interesting implications to the higher-dimensional models, is that our model is shown to admit an "integrating" flow that proves existence of a non-local B\"acklund-Nicolai-type mapping to the free system.
| 11.886226
| 10.9033
| 12.561782
| 11.043794
| 11.384531
| 10.960463
| 11.232719
| 11.0223
| 10.783446
| 14.453948
| 11.204829
| 11.597272
| 11.750923
| 11.391249
| 11.32303
| 11.273283
| 11.451234
| 11.11167
| 11.336141
| 12.050645
| 11.35301
|
hep-th/9706008
|
Hongsu Kim
|
Hongsu Kim (Ewha Women's Univ., Korea)
|
Notes on Spinning AdS_3 Black Hole Solution
|
15 pages, Revtex
| null | null | null |
hep-th gr-qc
| null |
By applying Newman's method, the AdS_3 rotating black hole solution is
"derived" from the nonrotating black hole solution of Banados, Teitelboim and
Zanelli (BTZ). The rotating BTZ solution derived in this fashion is given in
"Boyer-Lindquist-type" coordinates whereas the form of the solution originally
given by BTZ is given in a kind of an "unfamiliar" coordinates which are
related to each other by a transformation of time coordinate alone. The
relative physical meaning between these two coordinates is carefully studied by
evaluating angular momentum per unit mass, angular velocity, surface gravity
and area of the event horizon in two alternative coordinates respectively. The
result of this study leads us to the conclusion that the BTZ time coordinate
must be the time coordinate of an observer who rotates around the axis of the
spinning hole in opposite direction to that of the hole outside its static
limit.
|
[
{
"created": "Mon, 2 Jun 1997 03:14:32 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Kim",
"Hongsu",
"",
"Ewha Women's Univ., Korea"
]
] |
By applying Newman's method, the AdS_3 rotating black hole solution is "derived" from the nonrotating black hole solution of Banados, Teitelboim and Zanelli (BTZ). The rotating BTZ solution derived in this fashion is given in "Boyer-Lindquist-type" coordinates whereas the form of the solution originally given by BTZ is given in a kind of an "unfamiliar" coordinates which are related to each other by a transformation of time coordinate alone. The relative physical meaning between these two coordinates is carefully studied by evaluating angular momentum per unit mass, angular velocity, surface gravity and area of the event horizon in two alternative coordinates respectively. The result of this study leads us to the conclusion that the BTZ time coordinate must be the time coordinate of an observer who rotates around the axis of the spinning hole in opposite direction to that of the hole outside its static limit.
| 9.343352
| 10.463305
| 9.132915
| 8.750547
| 10.430636
| 9.693243
| 9.881065
| 7.060522
| 9.598242
| 7.475833
| 9.09611
| 9.124182
| 9.163355
| 8.889736
| 8.617611
| 9.049729
| 8.926932
| 8.352393
| 8.618607
| 8.697818
| 9.027506
|
1101.4406
|
Oscar Loaiza-Brito
|
Oscar Loaiza-Brito
|
Topological effects on string vacua
|
Prepared for the XII Workshop on Particles and Fields, Mazatlan,
Mexico, 5-13 November 2009; 5 pages
|
AIP Conf.Proc.1361:334-338,2011
|
10.1063/1.3622724
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review some topological effects on the construction of string flux-vacua.
Specifically we study the effects of brane-flux transitions on the stability of
D-branes on a generalized tori compactificaction, the transition that a black
hole suffers in a background threaded with fluxes and the connections among
some Minkowsky vacua solutions.
|
[
{
"created": "Sun, 23 Jan 2011 21:52:50 GMT",
"version": "v1"
}
] |
2011-09-28
|
[
[
"Loaiza-Brito",
"Oscar",
""
]
] |
We review some topological effects on the construction of string flux-vacua. Specifically we study the effects of brane-flux transitions on the stability of D-branes on a generalized tori compactificaction, the transition that a black hole suffers in a background threaded with fluxes and the connections among some Minkowsky vacua solutions.
| 32.51297
| 30.349964
| 28.933153
| 27.262526
| 32.86385
| 29.322182
| 28.018581
| 28.394127
| 25.901445
| 36.060677
| 30.273899
| 29.367567
| 31.238731
| 29.363094
| 29.731344
| 28.869297
| 29.651056
| 28.012636
| 28.787739
| 30.051302
| 27.513487
|
hep-th/9306087
|
Lev Vaidman
|
Sandu Popescu and Lev Vaidman
|
Causality Constraints on Nonlocal Quantum Measurements
|
25 pages, TAUP 2011-92#
| null |
10.1103/PhysRevA.49.4331
| null |
hep-th
| null |
Consequences of relativistic causality for measurements of nonlocal
characteristics of composite quantum systems are investigated. It is proved
that verification measurements of entangled states necessarily erase local
information. A complete analysis of measurability of nondegenerate spin
operators of a system of two spin-1/2 particles is presented. It is shown that
measurability of certain projection operators which play an important role in
axiomatic quantum theory contradicts the causality principle.
|
[
{
"created": "Fri, 18 Jun 1993 09:41:12 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Popescu",
"Sandu",
""
],
[
"Vaidman",
"Lev",
""
]
] |
Consequences of relativistic causality for measurements of nonlocal characteristics of composite quantum systems are investigated. It is proved that verification measurements of entangled states necessarily erase local information. A complete analysis of measurability of nondegenerate spin operators of a system of two spin-1/2 particles is presented. It is shown that measurability of certain projection operators which play an important role in axiomatic quantum theory contradicts the causality principle.
| 11.511731
| 11.094951
| 10.940694
| 10.176764
| 10.140385
| 10.320606
| 10.029481
| 10.522674
| 10.362474
| 11.631443
| 11.166211
| 10.732789
| 10.462652
| 10.278605
| 10.141746
| 10.685887
| 10.174036
| 10.136022
| 10.162174
| 10.468142
| 10.613113
|
hep-th/9512217
|
David Fairlie
|
D.B. Fairlie and A.N. Leznov
|
Infinite series solutions of the symmetry equation for the $1 +2$
dimensional continuous Toda chain
|
9 pages, latex, no figures
| null |
10.1016/0375-9601(96)00580-4
|
preprint DTP 95/3
|
hep-th
| null |
A sequence of solutions to the equation of symmetry for the continuous Toda
chain in $1+2$ dimensions is represented in explicit form. This fact leads to
the supposition that this equation is completely integrable.
|
[
{
"created": "Fri, 29 Dec 1995 13:00:33 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Fairlie",
"D. B.",
""
],
[
"Leznov",
"A. N.",
""
]
] |
A sequence of solutions to the equation of symmetry for the continuous Toda chain in $1+2$ dimensions is represented in explicit form. This fact leads to the supposition that this equation is completely integrable.
| 15.710027
| 16.189707
| 18.262909
| 14.239142
| 14.476278
| 15.063145
| 14.66179
| 16.031961
| 12.352993
| 18.211376
| 13.378382
| 15.432372
| 14.79078
| 13.64201
| 14.239296
| 14.637393
| 14.840466
| 14.350639
| 14.384611
| 15.037227
| 13.864481
|
hep-th/0210266
|
Antonio J. Segui
|
M. A. Per and A. J. Segui
|
Encoding the scaling of the cosmological variables with the Euler Beta
function
|
Latex2e, 11 pages, 1 figure; reference added; minor changes
commenting the nature of the holographic principle and the particle/event
horizon
|
Int.J.Mod.Phys. A20 (2005) 4917-4924
|
10.1142/S0217751X05025358
|
DFTUZ/02/07
|
hep-th gr-qc
| null |
We study the scaling exponents for the expanding isotropic flat cosmological
models. The dimension of space, the equation of state of the cosmic fluid and
the scaling exponent for a physical variable are related by the Euler Beta
function that controls the singular behavior of the global integrals. We
encounter dual cosmological scenarios using the properties of the Beta
function. For the entropy density integral we reproduce the Fischler-Susskind
holographic bound.
|
[
{
"created": "Mon, 28 Oct 2002 17:53:00 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Jan 2003 12:03:11 GMT",
"version": "v2"
},
{
"created": "Tue, 11 Mar 2003 11:51:00 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Per",
"M. A.",
""
],
[
"Segui",
"A. J.",
""
]
] |
We study the scaling exponents for the expanding isotropic flat cosmological models. The dimension of space, the equation of state of the cosmic fluid and the scaling exponent for a physical variable are related by the Euler Beta function that controls the singular behavior of the global integrals. We encounter dual cosmological scenarios using the properties of the Beta function. For the entropy density integral we reproduce the Fischler-Susskind holographic bound.
| 22.923096
| 24.150906
| 20.986403
| 19.838385
| 19.444742
| 24.198872
| 21.028164
| 18.934397
| 19.258867
| 23.245272
| 19.302219
| 20.417931
| 18.986902
| 18.215523
| 19.035725
| 19.338926
| 19.301456
| 18.954817
| 19.578691
| 19.50058
| 19.532518
|
1007.4100
|
Shamil Shakirov
|
A.Morozov and Sh.Shakirov
|
From Brezin-Hikami to Harer-Zagier formulas for Gaussian correlators
|
12 pages
| null | null |
ITEP/TH-23/10
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Brezin-Hikami contour-integral representation of exponential multidensities
in finite N Hermitian matrix model is a remarkable implication of the old
Hermitian-Kontsevich duality. It is also a simplified version of Okounkov's
formulas for the same multidensities in the cubic Kontsevich model and of
Nekrasov calculus for LMNS integrals, a central piece of the modern studies of
AGT relations. In this paper we use Brezin-Hikami representation to derive
explicit expressions for the Harer-Zagier multidensities (from
arXiv:0906.0036): the only known exhaustive generating functions of all-genera
Gaussian correlators which are fully calculable and expressed in terms of
elementary functions. Using the Brezin-Hikami contour integrals, we rederive
the 1-point function of Harer and Zagier and the 2-point arctangent function of
arXiv:0906.0036. We also present (without a proof) the explicit expression for
the 3-point function in terms of arctangents. Derivation of the 3-point and
higher Harer-Zagier functions remains a challenging problem.
|
[
{
"created": "Fri, 23 Jul 2010 10:56:41 GMT",
"version": "v1"
}
] |
2010-07-26
|
[
[
"Morozov",
"A.",
""
],
[
"Shakirov",
"Sh.",
""
]
] |
Brezin-Hikami contour-integral representation of exponential multidensities in finite N Hermitian matrix model is a remarkable implication of the old Hermitian-Kontsevich duality. It is also a simplified version of Okounkov's formulas for the same multidensities in the cubic Kontsevich model and of Nekrasov calculus for LMNS integrals, a central piece of the modern studies of AGT relations. In this paper we use Brezin-Hikami representation to derive explicit expressions for the Harer-Zagier multidensities (from arXiv:0906.0036): the only known exhaustive generating functions of all-genera Gaussian correlators which are fully calculable and expressed in terms of elementary functions. Using the Brezin-Hikami contour integrals, we rederive the 1-point function of Harer and Zagier and the 2-point arctangent function of arXiv:0906.0036. We also present (without a proof) the explicit expression for the 3-point function in terms of arctangents. Derivation of the 3-point and higher Harer-Zagier functions remains a challenging problem.
| 10.864897
| 11.81033
| 13.430811
| 10.477705
| 12.750054
| 12.331517
| 12.443836
| 10.823651
| 10.695853
| 13.703069
| 10.926559
| 10.17537
| 10.949156
| 10.799365
| 10.615051
| 11.063345
| 11.116169
| 10.621667
| 10.658644
| 10.744874
| 10.405828
|
1206.1255
|
Alessio Marrani
|
Sergio Ferrara, Alessio Marrani, Mario Trigiante
|
Super-Ehlers in Any Dimension
|
1+55 pages; 15 Tables, 6 Figures; v2 : some clarifications added in
Sec. 1 and in App. A
| null |
10.1007/JHEP11(2012)068
|
CERN-PH-TH/2012-150
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We classify the enhanced helicity symmetry of the Ehlers group to extended
supergravity theories in any dimension. The vanishing character of the
pseudo-Riemannian cosets occurring in this analysis is explained in terms of
Poincar\'e duality. The latter resides in the nature of regularly embedded
quotient subgroups which are non-compact rank preserving.
|
[
{
"created": "Wed, 6 Jun 2012 15:34:52 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Oct 2012 10:16:20 GMT",
"version": "v2"
}
] |
2015-06-05
|
[
[
"Ferrara",
"Sergio",
""
],
[
"Marrani",
"Alessio",
""
],
[
"Trigiante",
"Mario",
""
]
] |
We classify the enhanced helicity symmetry of the Ehlers group to extended supergravity theories in any dimension. The vanishing character of the pseudo-Riemannian cosets occurring in this analysis is explained in terms of Poincar\'e duality. The latter resides in the nature of regularly embedded quotient subgroups which are non-compact rank preserving.
| 31.565899
| 33.781189
| 27.870546
| 28.940142
| 29.337971
| 27.209669
| 32.030334
| 33.143436
| 27.202131
| 34.582848
| 32.644997
| 25.93062
| 29.720699
| 27.757006
| 26.625563
| 26.13632
| 26.616848
| 26.642481
| 26.81592
| 29.292631
| 25.836941
|
1007.3719
|
Leopoldo A. Pando Zayas
|
Elena Caceres, Manavendra N. Mahato, Leopoldo A. Pando Zayas and
Vincent J. G. Rodgers
|
Toward NS5 Branes on the Resolved Cone over Y^{p,q}
|
23+17pp, no figures; v2: references added, various clarifications
|
Phys.Rev.D83:066008,2011
|
10.1103/PhysRevD.83.066008
|
MCTP-10-21, UTTG-05-10, TIFR/TH/10-19
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Motivated by recent developments in the understanding of the connection
between five branes on resolved geometries and the corresponding
generalizations of complex deformations in the context of the warped resolved
deformed conifold, we consider the construction of five branes solutions on the
resolved cone over Y^{p,q} spaces. We establish the existence of supersymmetric
five branes solutions wrapped on two-cycles of the resolved cone over Y^{p,q}
in the probe limit. We then use calibration techniques to begin the
construction of fully back-reacted five branes; we present an Ansatz and the
corresponding equations of motion. Our results establish a detailed framework
to study back-reacted five branes wrapped on the resolved cone over Y^{p,q} and
as a first step we find explicit solutions and construct an asymptotic
expansion with the expected properties.
|
[
{
"created": "Wed, 21 Jul 2010 18:55:25 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Feb 2011 22:17:42 GMT",
"version": "v2"
}
] |
2011-03-22
|
[
[
"Caceres",
"Elena",
""
],
[
"Mahato",
"Manavendra N.",
""
],
[
"Zayas",
"Leopoldo A. Pando",
""
],
[
"Rodgers",
"Vincent J. G.",
""
]
] |
Motivated by recent developments in the understanding of the connection between five branes on resolved geometries and the corresponding generalizations of complex deformations in the context of the warped resolved deformed conifold, we consider the construction of five branes solutions on the resolved cone over Y^{p,q} spaces. We establish the existence of supersymmetric five branes solutions wrapped on two-cycles of the resolved cone over Y^{p,q} in the probe limit. We then use calibration techniques to begin the construction of fully back-reacted five branes; we present an Ansatz and the corresponding equations of motion. Our results establish a detailed framework to study back-reacted five branes wrapped on the resolved cone over Y^{p,q} and as a first step we find explicit solutions and construct an asymptotic expansion with the expected properties.
| 8.485555
| 8.219797
| 9.36232
| 8.027284
| 8.778396
| 8.100755
| 8.846807
| 8.17886
| 8.614117
| 9.593923
| 8.122406
| 8.149849
| 8.805157
| 8.084723
| 7.973515
| 8.132342
| 8.177114
| 8.209963
| 8.345626
| 8.664732
| 8.15809
|
hep-th/0107024
|
Michael Bordag
|
M. Bordag, V.V. Nesterenko, and I.G. Pirozhenko
|
High temperature asymptotics of thermodynamic functions of
electromagnetic field subjected to boundary conditions on a sphere and
cylinder
|
27 pages, REVTeX, no figures, no tables, presentations is improved, a
few references are added
| null |
10.1103/PhysRevD.65.045011
| null |
hep-th
| null |
The high temperature asymptotics of thermodynamic functions of
electromagnetic field subjected to boundary conditions with spherical and
cylindrical symmetries are constructed by making use of a general expansion in
terms of heat kernel coefficients and the related determinant. For this, some
new heat kernel coefficients and determinants had to be calculated for the
boundary conditions under consideration. The obtained results reproduce all the
asymptotics derived by other methods in the problems at hand and involve a few
new terms in the high temperature expansions. An obvious merit of this approach
is its universality and applicability to any boundary value problem correctly
formulated.
|
[
{
"created": "Wed, 4 Jul 2001 12:04:20 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Sep 2001 12:49:32 GMT",
"version": "v2"
},
{
"created": "Wed, 21 Nov 2001 10:32:35 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Bordag",
"M.",
""
],
[
"Nesterenko",
"V. V.",
""
],
[
"Pirozhenko",
"I. G.",
""
]
] |
The high temperature asymptotics of thermodynamic functions of electromagnetic field subjected to boundary conditions with spherical and cylindrical symmetries are constructed by making use of a general expansion in terms of heat kernel coefficients and the related determinant. For this, some new heat kernel coefficients and determinants had to be calculated for the boundary conditions under consideration. The obtained results reproduce all the asymptotics derived by other methods in the problems at hand and involve a few new terms in the high temperature expansions. An obvious merit of this approach is its universality and applicability to any boundary value problem correctly formulated.
| 13.261203
| 9.152335
| 12.411203
| 9.661108
| 9.894186
| 9.823566
| 9.704405
| 8.870069
| 10.080486
| 13.24643
| 10.447447
| 11.249805
| 12.185675
| 11.758437
| 11.385533
| 11.243419
| 11.412297
| 11.550952
| 11.646713
| 12.408179
| 12.022796
|
hep-th/0206231
|
Andrea Pasqua
|
B. L. Cerchiai, A. F. Pasqua, B. Zumino
|
The Seiberg-Witten Map for Noncommutative Gauge Theories
|
12 pages, talk presented at "Continuous Advances in QCD
2002/Arkadyfest", University of Minnesota, Minneapolis, May 17-23, 2002. A
few misprints corrected
| null | null |
UCB-PTH-02/27, LBNL-50952
|
hep-th
| null |
The Seiberg-Witten map for noncommutative Yang-Mills theories is studied and
methods for its explicit construction are discussed which are valid for any
gauge group. In particular the use of the evolution equation is described in
some detail and its relation to the cohomological approach is elucidated.
Cohomological methods which are applicable to gauge theories requiring the
Batalin-Vilkoviskii antifield formalism are briefly mentioned. Also, the
analogy of the Weyl-Moyal star product with the star product of open bosonic
string field theory and possible ramifications of this analogy are briefly
mentioned.
|
[
{
"created": "Wed, 26 Jun 2002 02:00:18 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Jul 2002 22:19:31 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Cerchiai",
"B. L.",
""
],
[
"Pasqua",
"A. F.",
""
],
[
"Zumino",
"B.",
""
]
] |
The Seiberg-Witten map for noncommutative Yang-Mills theories is studied and methods for its explicit construction are discussed which are valid for any gauge group. In particular the use of the evolution equation is described in some detail and its relation to the cohomological approach is elucidated. Cohomological methods which are applicable to gauge theories requiring the Batalin-Vilkoviskii antifield formalism are briefly mentioned. Also, the analogy of the Weyl-Moyal star product with the star product of open bosonic string field theory and possible ramifications of this analogy are briefly mentioned.
| 8.906231
| 7.782764
| 8.368862
| 7.420762
| 8.346431
| 8.292755
| 7.854451
| 7.443326
| 7.61746
| 8.863105
| 7.430444
| 7.521313
| 8.184128
| 7.571598
| 7.860145
| 7.835129
| 7.329983
| 7.565682
| 7.646297
| 7.997616
| 7.740677
|
hep-th/9601042
|
Horatiu-Stefan Nastase
|
Horatiu-Stefan Nastase
|
A possible solution of the black hole information paradox through
quantum gravity unified with other interactions
|
24 pages, 8 figures, in a single compressed/encoded file
| null | null |
NBI-HE-96-02
|
hep-th
| null |
I try to argue that the only way out of the black hole information paradox is
through a unified quantum field theory of gravity and other interactions.
Superstring theory is especially interesting, since in a special limit, the
classical picture of 't Hooft emerges.
|
[
{
"created": "Wed, 10 Jan 1996 14:43:02 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Nastase",
"Horatiu-Stefan",
""
]
] |
I try to argue that the only way out of the black hole information paradox is through a unified quantum field theory of gravity and other interactions. Superstring theory is especially interesting, since in a special limit, the classical picture of 't Hooft emerges.
| 16.699415
| 12.811639
| 13.632453
| 11.941011
| 13.992754
| 10.32405
| 11.925448
| 11.892739
| 12.321417
| 13.772013
| 12.665675
| 12.239804
| 12.316321
| 11.800238
| 11.95666
| 12.542897
| 12.229349
| 11.777454
| 12.435381
| 12.563246
| 12.134067
|
hep-th/9510012
|
Oscar Diego
|
Oscar Diego
|
Stabilization of 2D Quantum Gravity by branching interactions
|
12 pages,latex
|
Phys.Lett. B377 (1996) 23-27
|
10.1016/0370-2693(96)00266-3
|
IEM-FT-95/112
|
hep-th
| null |
In this paper the stabilization of 2D quantum Gravity by branching
interactions is considered. The perturbative expansion and the first
nonperturbative term of the stabilized model are the same than the unbounded
matrix model which define pure Gravity, but it has new nonperturbative effects
that survives in the continuum limit.
|
[
{
"created": "Wed, 4 Oct 1995 09:41:09 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Diego",
"Oscar",
""
]
] |
In this paper the stabilization of 2D quantum Gravity by branching interactions is considered. The perturbative expansion and the first nonperturbative term of the stabilized model are the same than the unbounded matrix model which define pure Gravity, but it has new nonperturbative effects that survives in the continuum limit.
| 24.504
| 19.481434
| 24.562702
| 20.867926
| 18.704638
| 23.058851
| 20.05431
| 21.962498
| 20.797325
| 30.101118
| 17.537613
| 21.614931
| 22.218016
| 20.793121
| 21.247192
| 22.185959
| 20.748096
| 21.700258
| 19.233463
| 22.371521
| 19.214243
|
hep-th/9505050
|
Michael D. Alexandrov
|
Mikhail Alexandrov
|
Action functionals for strings in four dimensions
|
9 pages, LaTeX, 7 figures
|
Lett. Math. Phys. 37 (1996) 181
|
10.1007/BF00416021
|
UCD-95-04
|
hep-th
| null |
All possible action functionals on the space of surfaces in ${\bf R}^4$ that
depend only on first and second derivatives of the functions, entering the
equation of the surface, and satisfy the condition of invariance with respect
to rigid motions are described.
|
[
{
"created": "Wed, 10 May 1995 01:14:44 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Alexandrov",
"Mikhail",
""
]
] |
All possible action functionals on the space of surfaces in ${\bf R}^4$ that depend only on first and second derivatives of the functions, entering the equation of the surface, and satisfy the condition of invariance with respect to rigid motions are described.
| 9.624451
| 7.582642
| 8.681867
| 7.603414
| 8.85948
| 8.378924
| 9.191049
| 6.900403
| 8.536003
| 10.251767
| 8.802884
| 8.117512
| 8.53619
| 7.604612
| 7.727251
| 7.811431
| 7.940652
| 7.898132
| 8.632236
| 9.009945
| 7.986526
|
2212.04379
|
H\'elder Larragu\'ivel
|
Jakub Jankowski, Piotr Kucharski, H\'elder Larragu\'ivel, Dmitry
Noshchenko, Piotr Su{\l}kowski
|
Quiver diagonalization and open BPS states
|
37 pages
| null |
10.1007/s00220-023-04753-2
| null |
hep-th math-ph math.MP math.QA math.RT
|
http://creativecommons.org/licenses/by-nc-sa/4.0/
|
We show that motivic Donaldson-Thomas invariants of a~symmetric quiver $Q$,
captured by the generating function $P_Q$, can be encoded in another quiver
$Q^{(\infty)}$ of (almost always) infinite size, whose only arrows are loops,
and whose generating function $P_{Q^{(\infty)}}$ is equal to $P_Q$ upon
appropriate identification of generating parameters. Consequences of this
statement include a generalization of the proof of integrality of
Donaldson-Thomas and Labastida-Mari\~{n}o-Ooguri-Vafa invariants that count
open BPS states, as well as expressing motivic Donaldson-Thomas invariants of
an arbitrary symmetric quiver in terms of invariants of $m$-loop quivers. In
particular, this means that the already known combinatorial interpretation of
invariants of $m$-loop quivers extends to arbitrary symmetric quivers.
|
[
{
"created": "Thu, 8 Dec 2022 16:22:59 GMT",
"version": "v1"
}
] |
2023-07-05
|
[
[
"Jankowski",
"Jakub",
""
],
[
"Kucharski",
"Piotr",
""
],
[
"Larraguível",
"Hélder",
""
],
[
"Noshchenko",
"Dmitry",
""
],
[
"Sułkowski",
"Piotr",
""
]
] |
We show that motivic Donaldson-Thomas invariants of a~symmetric quiver $Q$, captured by the generating function $P_Q$, can be encoded in another quiver $Q^{(\infty)}$ of (almost always) infinite size, whose only arrows are loops, and whose generating function $P_{Q^{(\infty)}}$ is equal to $P_Q$ upon appropriate identification of generating parameters. Consequences of this statement include a generalization of the proof of integrality of Donaldson-Thomas and Labastida-Mari\~{n}o-Ooguri-Vafa invariants that count open BPS states, as well as expressing motivic Donaldson-Thomas invariants of an arbitrary symmetric quiver in terms of invariants of $m$-loop quivers. In particular, this means that the already known combinatorial interpretation of invariants of $m$-loop quivers extends to arbitrary symmetric quivers.
| 6.572507
| 6.544466
| 7.79121
| 6.41962
| 7.052011
| 6.625051
| 6.827718
| 6.530986
| 6.217348
| 8.380598
| 6.436571
| 6.490792
| 6.387078
| 6.275167
| 6.405083
| 6.441905
| 6.740454
| 6.324327
| 6.187847
| 6.346392
| 6.108891
|
1805.08582
|
Ali Chamseddine
|
Ali H. Chamseddine
|
Noncommutative Geometry and Structure of Space-Time
|
15 pages, Plenary Talk at 9th Pan African Congress of Mathematicians,
PACOM 2017, Morocco, to appear in Special Issue of Africa Matematica, Editor
J. Banasiak
|
Afrika Mathematica December 2018
|
10.1007/s13370-018-0648-3
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
I give a summary review of the research program using noncommutative geometry
as a framework to determine the structure of space-time. Classification of
finite noncommutative spaces under few assumptions reveals why nature chose the
Standard Model and the reasons behind the particular form of gauge fields,
Higgs fields and fermions as well as the origin of symmetry breaking. It also
points that at high energies the Standard Model is a truncation of Pati-Salam
unified model of leptons and quarks. The same conclusions are arrived at
uniquely without making any assumptions except for an axiom which is a higher
form of Heisenberg commutation relations quantizing the volume of space-time.
We establish the existence of two kinds of quanta of geometry in the form of
unit spheres of Planck length. We provide answers to many of the questions
which are not answered by other approaches, however, more research is needed to
answer the remaining challenging questions.
|
[
{
"created": "Tue, 22 May 2018 13:55:28 GMT",
"version": "v1"
}
] |
2019-02-25
|
[
[
"Chamseddine",
"Ali H.",
""
]
] |
I give a summary review of the research program using noncommutative geometry as a framework to determine the structure of space-time. Classification of finite noncommutative spaces under few assumptions reveals why nature chose the Standard Model and the reasons behind the particular form of gauge fields, Higgs fields and fermions as well as the origin of symmetry breaking. It also points that at high energies the Standard Model is a truncation of Pati-Salam unified model of leptons and quarks. The same conclusions are arrived at uniquely without making any assumptions except for an axiom which is a higher form of Heisenberg commutation relations quantizing the volume of space-time. We establish the existence of two kinds of quanta of geometry in the form of unit spheres of Planck length. We provide answers to many of the questions which are not answered by other approaches, however, more research is needed to answer the remaining challenging questions.
| 14.191371
| 13.571715
| 13.84013
| 13.277865
| 14.769637
| 14.4338
| 14.07859
| 13.841269
| 13.620017
| 15.31205
| 13.885489
| 13.361824
| 13.84201
| 13.653485
| 13.113685
| 13.759961
| 13.168143
| 13.163375
| 13.61856
| 13.666082
| 13.184613
|
hep-th/0507217
|
Thomas Klose
|
Thomas Klose
|
On the breakdown of perturbative integrability in large N matrix models
|
27 pages
|
JHEP 0510 (2005) 083
|
10.1088/1126-6708/2005/10/083
|
AEI-2005-127
|
hep-th
| null |
We study the perturbative integrability of the planar sector of a massive
SU(N) matrix quantum mechanical theory with global SO(6) invariance and
Yang-Mills-like interaction. This model arises as a consistent truncation of
maximally supersymmetric Yang-Mills theory on a three-sphere to the lowest
modes of the scalar fields. In fact, our studies mimic the current
investigations concerning the integrability properties of this gauge theory.
Like in the field theory we can prove the planar integrability of the SO(6)
model at first perturbative order. At higher orders we restrict ourselves to
the widely studied SU(2) subsector spanned by two complexified scalar fields of
the theory. We show that our toy model satisfies all commonly studied
integrability requirements such as degeneracies in the spectrum, existence of
conserved charges and factorized scattering up to third perturbative order.
These are the same qualitative features as the ones found in super Yang-Mills
theory, which were enough to conjecture the all-loop integrability of that
theory. For the SO(6) model, however, we show that these properties are not
sufficient to predict higher loop integrability. In fact, we explicitly
demonstrate the breakdown of perturbative integrability at fourth order.
|
[
{
"created": "Thu, 21 Jul 2005 20:19:56 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Klose",
"Thomas",
""
]
] |
We study the perturbative integrability of the planar sector of a massive SU(N) matrix quantum mechanical theory with global SO(6) invariance and Yang-Mills-like interaction. This model arises as a consistent truncation of maximally supersymmetric Yang-Mills theory on a three-sphere to the lowest modes of the scalar fields. In fact, our studies mimic the current investigations concerning the integrability properties of this gauge theory. Like in the field theory we can prove the planar integrability of the SO(6) model at first perturbative order. At higher orders we restrict ourselves to the widely studied SU(2) subsector spanned by two complexified scalar fields of the theory. We show that our toy model satisfies all commonly studied integrability requirements such as degeneracies in the spectrum, existence of conserved charges and factorized scattering up to third perturbative order. These are the same qualitative features as the ones found in super Yang-Mills theory, which were enough to conjecture the all-loop integrability of that theory. For the SO(6) model, however, we show that these properties are not sufficient to predict higher loop integrability. In fact, we explicitly demonstrate the breakdown of perturbative integrability at fourth order.
| 7.149241
| 6.838236
| 8.173514
| 7.058438
| 7.416362
| 7.781505
| 7.181596
| 7.084402
| 6.671579
| 7.778607
| 7.180479
| 7.091067
| 7.096036
| 7.05132
| 7.122417
| 7.065539
| 7.026947
| 6.925502
| 6.826871
| 7.240134
| 6.916252
|
hep-th/9309053
| null |
Bernhard Drabant, Wolfgang Weich
|
Unitary Continuous Representations of Compact Quantum Groups
|
8 pages
| null | null |
LMU-TPW 1993-23
|
hep-th math.OA math.QA
| null |
Generalizing the notion of continuous Hilbert space representations of
compact topological groups we define unitary continuous correpresentations of
$C^*$-completions of compact quantum group Hopf algebras on arbitrary Hilbert
spaces. It is proved that the unitary continuous correpresentations decompose
in finite dimensional irreducible correpresentations.
|
[
{
"created": "Thu, 9 Sep 1993 14:21:20 GMT",
"version": "v1"
}
] |
2008-02-03
|
[
[
"Drabant",
"Bernhard",
""
],
[
"Weich",
"Wolfgang",
""
]
] |
Generalizing the notion of continuous Hilbert space representations of compact topological groups we define unitary continuous correpresentations of $C^*$-completions of compact quantum group Hopf algebras on arbitrary Hilbert spaces. It is proved that the unitary continuous correpresentations decompose in finite dimensional irreducible correpresentations.
| 8.867582
| 8.989121
| 8.845328
| 8.842988
| 9.380476
| 9.17619
| 11.350336
| 9.526106
| 8.515765
| 9.54462
| 8.141746
| 8.915742
| 9.283188
| 8.111588
| 8.688153
| 8.814054
| 8.281315
| 8.647933
| 8.803968
| 9.332163
| 7.732088
|
0905.1603
|
Kyungha Ryu
|
Yoonbai Kim, Hiroaki Nakajima, Kyungha Ryu, Hang Bae Kim
|
Inflation on a Pair of D3-brane and D3bar-brane in Klebanov-Strassler
Background
|
to appear in proceeding of Cosmology and Particle Astrophysics 2008
(CosPA08)
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explain how to obtain Klabanov-Strassler solution in the low-energy limit
of type IIB superstring theory and describe slow-roll inflation on the system
of parallely-separated D3-brane and D3bar-brane in the Klebanov-Strassler
background.
|
[
{
"created": "Mon, 11 May 2009 11:50:46 GMT",
"version": "v1"
}
] |
2009-05-12
|
[
[
"Kim",
"Yoonbai",
""
],
[
"Nakajima",
"Hiroaki",
""
],
[
"Ryu",
"Kyungha",
""
],
[
"Kim",
"Hang Bae",
""
]
] |
We explain how to obtain Klabanov-Strassler solution in the low-energy limit of type IIB superstring theory and describe slow-roll inflation on the system of parallely-separated D3-brane and D3bar-brane in the Klebanov-Strassler background.
| 19.904503
| 18.727783
| 19.352877
| 14.918068
| 14.956134
| 18.678656
| 16.45686
| 14.457935
| 13.827514
| 25.140137
| 17.363861
| 17.207876
| 19.216019
| 16.640602
| 17.307775
| 17.80324
| 15.835108
| 17.24544
| 17.496735
| 15.922517
| 16.688234
|
hep-th/9509018
|
Sonoda
|
Hidenori Sonoda
|
The Energy-Momentum Tensor in Field Theory II
|
plain TeX with harvmac, 3 PS figures, 21 pages
| null | null |
UCLA/95/TEP/31
|
hep-th
| null |
In a previous paper, field theory in curved space was considered, and a
formula that expresses the first order variation of correlation functions with
respect to the external metric was postulated. The formula is given as an
integral of the energy-momentum tensor over space, where the short distance
singularities of the product of the energy-momentum tensor and an arbitrary
composite field must be subtracted, and finite counterterms must be added.
These finite counterterms have been interpreted geometrically as a connection
for the linear space of composite fields over theory space. In this paper we
will study a second order consistency condition for the variational formula and
determine the torsion of the connection. A non-vanishing torsion results from
the integrability of the variational formula, and it is related to the Bose
symmetry of the product of two energy-momentum tensors. The massive Ising model
on a curved two-dimensional surface is discussed as an example, and the
short-distance singularities of the product of two energy-momentum tensors are
calculated explicitly.
|
[
{
"created": "Tue, 5 Sep 1995 19:25:30 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Sonoda",
"Hidenori",
""
]
] |
In a previous paper, field theory in curved space was considered, and a formula that expresses the first order variation of correlation functions with respect to the external metric was postulated. The formula is given as an integral of the energy-momentum tensor over space, where the short distance singularities of the product of the energy-momentum tensor and an arbitrary composite field must be subtracted, and finite counterterms must be added. These finite counterterms have been interpreted geometrically as a connection for the linear space of composite fields over theory space. In this paper we will study a second order consistency condition for the variational formula and determine the torsion of the connection. A non-vanishing torsion results from the integrability of the variational formula, and it is related to the Bose symmetry of the product of two energy-momentum tensors. The massive Ising model on a curved two-dimensional surface is discussed as an example, and the short-distance singularities of the product of two energy-momentum tensors are calculated explicitly.
| 8.246652
| 7.849337
| 8.320432
| 7.331967
| 8.57794
| 7.931371
| 8.561612
| 8.306077
| 7.938342
| 8.654081
| 7.849968
| 7.843591
| 7.943035
| 7.543359
| 7.920811
| 7.663648
| 7.899185
| 7.645952
| 7.801457
| 8.017159
| 7.658272
|
hep-th/0601056
|
Patrizia Vitale
|
Fedele Lizzi, Sachindeo Vaidya, Patrizia Vitale
|
Twisted Conformal Symmetry in Noncommutative Two-Dimensional Quantum
Field Theory
|
10 pages. Text enlarged. References added
|
Phys.Rev.D73:125020,2006
|
10.1103/PhysRevD.73.125020
|
DSF-49-2005
|
hep-th math-ph math.MP math.QA
| null |
By twisting the commutation relations between creation and annihilation
operators, we show that quantum conformal invariance can be implemented in the
2-d Moyal plane. This is an explicit realization of an infinite dimensional
symmetry as a quantum algebra.
|
[
{
"created": "Tue, 10 Jan 2006 08:34:14 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Jun 2006 10:26:29 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Lizzi",
"Fedele",
""
],
[
"Vaidya",
"Sachindeo",
""
],
[
"Vitale",
"Patrizia",
""
]
] |
By twisting the commutation relations between creation and annihilation operators, we show that quantum conformal invariance can be implemented in the 2-d Moyal plane. This is an explicit realization of an infinite dimensional symmetry as a quantum algebra.
| 13.070815
| 10.063166
| 11.829268
| 9.466952
| 9.7273
| 10.104833
| 9.887011
| 9.981877
| 10.629614
| 11.254146
| 10.734995
| 9.761292
| 10.093032
| 9.720133
| 10.087133
| 10.966083
| 9.802663
| 10.04083
| 9.911484
| 10.028565
| 9.982747
|
hep-th/0605044
|
Brett D. Altschul
|
B. Altschul
|
Lorentz Violation and the Yukawa Potential
|
10 pages
|
Phys.Lett.B639:679-683,2006
|
10.1016/j.physletb.2006.07.021
|
IUHET-494
|
hep-th
| null |
We analyze Lorentz violations in the bosonic sector of a Yukawa-type quantum
field theory. The nonrelativistic potential may be determined to all orders in
the Lorentz violation, and we find that only specific types of modifications to
the normal Yukawa potential can be generated. The influence of this modified
potential on scattering and bounds states is calculated. These results could be
relevant to the search for new macroscopic forces, which may not necessarily be
Lorentz invariant.
|
[
{
"created": "Wed, 3 May 2006 18:07:28 GMT",
"version": "v1"
}
] |
2010-11-05
|
[
[
"Altschul",
"B.",
""
]
] |
We analyze Lorentz violations in the bosonic sector of a Yukawa-type quantum field theory. The nonrelativistic potential may be determined to all orders in the Lorentz violation, and we find that only specific types of modifications to the normal Yukawa potential can be generated. The influence of this modified potential on scattering and bounds states is calculated. These results could be relevant to the search for new macroscopic forces, which may not necessarily be Lorentz invariant.
| 10.560396
| 10.222115
| 9.955188
| 8.979873
| 8.81843
| 9.030457
| 9.92842
| 8.911556
| 9.159707
| 9.577822
| 8.76467
| 10.361766
| 10.484254
| 9.989975
| 10.106425
| 10.072779
| 9.959508
| 10.375906
| 9.938082
| 10.521201
| 9.882389
|
2010.05179
|
Dibakar Roychowdhury
|
Dibakar Roychowdhury
|
Multispin magnons from Spin-Matrix strings on $ AdS_5 \times S^5 $
|
Latex, 12 pages, Revised version, Accepted for publication in PLB
|
Phys.Lett. B818(2021)136389
|
10.1016/j.physletb.2021.136389
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The present Letter derives multispin nonrelativistic magnon spectrum
considering various near BPS corners within $ SU(1,2|3) $ Spin-Matrix theory
(SMT) limit of strings on $ AdS_5 \times S^5 $. In particular, we focus on some
typical rotating string solutions those correspond to two spin as well as three
spin configurations in the bulk and identify the associated nonrelativistic
magnon like excitations in these models.
|
[
{
"created": "Sun, 11 Oct 2020 06:48:16 GMT",
"version": "v1"
},
{
"created": "Fri, 21 May 2021 11:34:21 GMT",
"version": "v2"
}
] |
2021-05-26
|
[
[
"Roychowdhury",
"Dibakar",
""
]
] |
The present Letter derives multispin nonrelativistic magnon spectrum considering various near BPS corners within $ SU(1,2|3) $ Spin-Matrix theory (SMT) limit of strings on $ AdS_5 \times S^5 $. In particular, we focus on some typical rotating string solutions those correspond to two spin as well as three spin configurations in the bulk and identify the associated nonrelativistic magnon like excitations in these models.
| 25.04616
| 15.104018
| 30.008778
| 15.843682
| 17.343517
| 16.672916
| 16.297358
| 17.74007
| 17.058538
| 32.831123
| 16.03286
| 19.044821
| 25.896368
| 19.855003
| 18.837282
| 17.942595
| 18.711475
| 18.57929
| 18.790524
| 26.220842
| 18.539473
|
hep-th/9505135
| null |
C. Gomez and E. Lopez
|
From Quantum Monodromy to Duality
|
13 pages, Latex, misprints corrected
|
Phys.Lett. B357 (1995) 558-565
|
10.1016/0370-2693(95)00892-O
|
CERN-TH/95-124
|
hep-th
| null |
For $N\!=\!2$ SUSY theories with non-vanishing $\beta$-function and
one-dimensional quantum moduli, we study the representation on the special
coordinates of the group of motions on the quantum moduli defined by
$\Gamma_W\!=\!Sl(2;Z)\!/\!\Gamma_M$, with $\Gamma_M$ the quantum monodromy
group. $\Gamma_W$ contains both the global symmetries and the strong-weak
coupling duality. The action of $\Gamma_W$ on the special coordinates is not
part of the symplectic group $Sl(2;Z)$. After coupling to gravity, namely in
the context of non-rigid special geometry, we can define the action of
$\Gamma_W$ as part of $Sp(4;Z)$. To do this requires singular gauge
transformations on the "scalar" component of the graviphoton field. In terms of
these singular gauge transformations the topological obstruction to strong-weak
duality can be interpreted as a $\sigma$-model anomaly, indicating the possible
dynamical role of the dilaton field in $S$-duality.
|
[
{
"created": "Mon, 22 May 1995 19:39:58 GMT",
"version": "v1"
},
{
"created": "Sun, 4 Jun 1995 17:42:23 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Gomez",
"C.",
""
],
[
"Lopez",
"E.",
""
]
] |
For $N\!=\!2$ SUSY theories with non-vanishing $\beta$-function and one-dimensional quantum moduli, we study the representation on the special coordinates of the group of motions on the quantum moduli defined by $\Gamma_W\!=\!Sl(2;Z)\!/\!\Gamma_M$, with $\Gamma_M$ the quantum monodromy group. $\Gamma_W$ contains both the global symmetries and the strong-weak coupling duality. The action of $\Gamma_W$ on the special coordinates is not part of the symplectic group $Sl(2;Z)$. After coupling to gravity, namely in the context of non-rigid special geometry, we can define the action of $\Gamma_W$ as part of $Sp(4;Z)$. To do this requires singular gauge transformations on the "scalar" component of the graviphoton field. In terms of these singular gauge transformations the topological obstruction to strong-weak duality can be interpreted as a $\sigma$-model anomaly, indicating the possible dynamical role of the dilaton field in $S$-duality.
| 8.219424
| 8.305757
| 8.964515
| 7.602874
| 7.956509
| 8.142641
| 8.242321
| 8.207947
| 7.608807
| 9.883136
| 7.695248
| 7.688398
| 8.267028
| 7.499305
| 7.655032
| 7.616102
| 7.866695
| 7.727394
| 7.692235
| 7.995564
| 7.594386
|
1903.04769
|
Fabien Besnard
|
Fabien Besnard
|
On the uniqueness of Barrett's solution to the fermion doubling problem
in Noncommutative Geometry
| null | null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A solution of the so-called fermion doubling problem in Connes'
Noncommutative Standard Model has been given by Barrett in 2006 in the form of
Majorana-Weyl conditions on the fermionic field. These conditions define a
${\cal U}_{J,\chi}$-invariant subspace of the correct physical dimension, where
${\cal U}_{J,\chi}$ is the group of Krein unitaries commuting with the
chirality and real structure. They require the KO-dimension of the total triple
to be $0$. In this paper we show that this solution is, up to some trivial
modifications, and under some mild assumptions on the finite triple, the only
one with this invariance property. We also observe that a simple modification
of the fermionic action can act as a substitute for the explicit projection on
the physical subspace.
|
[
{
"created": "Tue, 12 Mar 2019 07:53:14 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Jun 2019 13:41:34 GMT",
"version": "v2"
}
] |
2019-06-21
|
[
[
"Besnard",
"Fabien",
""
]
] |
A solution of the so-called fermion doubling problem in Connes' Noncommutative Standard Model has been given by Barrett in 2006 in the form of Majorana-Weyl conditions on the fermionic field. These conditions define a ${\cal U}_{J,\chi}$-invariant subspace of the correct physical dimension, where ${\cal U}_{J,\chi}$ is the group of Krein unitaries commuting with the chirality and real structure. They require the KO-dimension of the total triple to be $0$. In this paper we show that this solution is, up to some trivial modifications, and under some mild assumptions on the finite triple, the only one with this invariance property. We also observe that a simple modification of the fermionic action can act as a substitute for the explicit projection on the physical subspace.
| 9.231422
| 10.533529
| 9.945809
| 9.141658
| 9.787096
| 10.56922
| 10.23803
| 10.332749
| 9.333881
| 11.628642
| 10.320082
| 9.204762
| 9.594994
| 9.43955
| 9.242165
| 9.289087
| 9.195757
| 9.861963
| 9.17612
| 9.77356
| 9.067085
|
1412.3148
|
Albion Lawrence
|
Cesar Agon, Vijay Balasubramanian, Skyler Kasko, Albion Lawrence
|
Coarse Grained Quantum Dynamics
|
44 pages including title page, table of contents, and references. v2:
references added, comments about validity of perturbation theory, slight
corrections to coupled oscillator example. v3: Presentation reorganized,
intro expanded, notation cleaned up, references added, new section on scalar
QFT added. Essential results unchanged. v4: Author affiliation updated
|
Phys. Rev. D 98, 025019 (2018)
|
10.1103/PhysRevD.98.025019
|
BRX-TH-6287
|
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Inspired by holographic Wilsonian renormalization, we consider coarse
graining a quantum system divided between short distance and long distance
degrees of freedom, coupled via the Hamiltonian. Observations using purely long
distance observables are described by the reduced density matrix that arises
from tracing out the short-distance degrees of freedom. The dynamics of this
density matrix is non-Hamiltonian and nonlocal in time, on the order of some
short time scale. We describe this dynamics in a model system with a simple
hierarchy of energy gaps $\Delta E_{UV} > \Delta E_{IR}$, in which the coupling
between high-and low-energy degrees of freedom is treated to second order in
perturbation theory. We then describe the equations of motion under suitable
time averaging, reflecting the limited time resolution of actual experiments,
and find an expansion of the master equation in powers of $\Delta E_{IR}/\Delta
E_{UV}$, after the fashion of effective field theory. The failure of the system
to be Hamiltonian or even Markovian appears at higher orders in this ratio. We
compute the evolution of the density matrix in three specific examples: coupled
spins, linearly coupled simple harmonic oscillators, and an interacting scalar
QFT. Finally, we argue that the logarithm of the Feynman-Vernon influence
functional is the correct analog of the Wilsonian effective action for this
problem.
|
[
{
"created": "Tue, 9 Dec 2014 22:54:51 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Feb 2016 20:00:04 GMT",
"version": "v2"
},
{
"created": "Fri, 8 Jun 2018 17:37:19 GMT",
"version": "v3"
},
{
"created": "Mon, 11 Jun 2018 20:41:18 GMT",
"version": "v4"
}
] |
2018-08-01
|
[
[
"Agon",
"Cesar",
""
],
[
"Balasubramanian",
"Vijay",
""
],
[
"Kasko",
"Skyler",
""
],
[
"Lawrence",
"Albion",
""
]
] |
Inspired by holographic Wilsonian renormalization, we consider coarse graining a quantum system divided between short distance and long distance degrees of freedom, coupled via the Hamiltonian. Observations using purely long distance observables are described by the reduced density matrix that arises from tracing out the short-distance degrees of freedom. The dynamics of this density matrix is non-Hamiltonian and nonlocal in time, on the order of some short time scale. We describe this dynamics in a model system with a simple hierarchy of energy gaps $\Delta E_{UV} > \Delta E_{IR}$, in which the coupling between high-and low-energy degrees of freedom is treated to second order in perturbation theory. We then describe the equations of motion under suitable time averaging, reflecting the limited time resolution of actual experiments, and find an expansion of the master equation in powers of $\Delta E_{IR}/\Delta E_{UV}$, after the fashion of effective field theory. The failure of the system to be Hamiltonian or even Markovian appears at higher orders in this ratio. We compute the evolution of the density matrix in three specific examples: coupled spins, linearly coupled simple harmonic oscillators, and an interacting scalar QFT. Finally, we argue that the logarithm of the Feynman-Vernon influence functional is the correct analog of the Wilsonian effective action for this problem.
| 8.745325
| 9.126799
| 8.995015
| 8.68077
| 9.519032
| 9.444994
| 8.932581
| 8.506907
| 9.167641
| 10.099833
| 8.476345
| 8.694529
| 8.780464
| 8.502755
| 8.563399
| 8.537685
| 8.532424
| 8.319132
| 8.45208
| 8.529061
| 8.530774
|
hep-th/9710075
|
Steven Corley
|
Steven Corley
|
Computing the spectrum of black hole radiation in the presence of high
frequency dispersion: an analytical approach
|
26 pages, plain latex, 6 figures included using psfig
|
Phys.Rev.D57:6280-6291,1998
|
10.1103/PhysRevD.57.6280
|
UMDGR-97-38
|
hep-th gr-qc
| null |
We present a method for computing the spectrum of black hole radiation of a
scalar field satisfying a wave equation with high frequency dispersion. The
method involves a combination of Laplace transform and WKB techniques for
finding approximate solutions to ordinary differential equations. The modified
wave equation is obtained by adding a higher order derivative term suppressed
by powers of a fundamental momentum scale $k_0$ to the ordinary wave equation.
Depending on the sign of this new term, high frequency modes propagate either
superluminally or subluminally. We show that the resulting spectrum of created
particles is thermal at the Hawking temperature, and further that the out-state
is a thermal state at the Hawking temperature, to leading order in $k_0$, for
either modification.
|
[
{
"created": "Wed, 8 Oct 1997 18:35:40 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Corley",
"Steven",
""
]
] |
We present a method for computing the spectrum of black hole radiation of a scalar field satisfying a wave equation with high frequency dispersion. The method involves a combination of Laplace transform and WKB techniques for finding approximate solutions to ordinary differential equations. The modified wave equation is obtained by adding a higher order derivative term suppressed by powers of a fundamental momentum scale $k_0$ to the ordinary wave equation. Depending on the sign of this new term, high frequency modes propagate either superluminally or subluminally. We show that the resulting spectrum of created particles is thermal at the Hawking temperature, and further that the out-state is a thermal state at the Hawking temperature, to leading order in $k_0$, for either modification.
| 8.225794
| 8.748155
| 8.099104
| 7.384924
| 7.993022
| 8.823943
| 7.527627
| 7.775703
| 7.483896
| 8.247561
| 7.729023
| 7.819355
| 7.596818
| 7.61965
| 7.768417
| 7.573968
| 7.588294
| 7.506102
| 7.821387
| 7.598985
| 7.554754
|
hep-th/9410161
|
Connie Jones
|
C.R. Hagen
|
Dimensionality as a Perturbation Parameter in the Generalized Hydrogen
Atom
|
5 pages, UR1392, ER-40685-841
| null |
10.1119/1.18054
| null |
hep-th
| null |
A recent suggestion has been made that the hydrogen bound state spectrum
should not depend on the number of spatial dimensions. It is pointed out here
that the uncertainty principle implies that such differences must exist and
that a perturbation expansion in the dimensionality parameter yields a precise
quantitative confirmation of the effect.
|
[
{
"created": "Fri, 21 Oct 1994 15:24:48 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Hagen",
"C. R.",
""
]
] |
A recent suggestion has been made that the hydrogen bound state spectrum should not depend on the number of spatial dimensions. It is pointed out here that the uncertainty principle implies that such differences must exist and that a perturbation expansion in the dimensionality parameter yields a precise quantitative confirmation of the effect.
| 15.964457
| 14.268165
| 14.717933
| 13.234077
| 14.065798
| 14.294123
| 14.286999
| 13.668715
| 12.439359
| 13.556558
| 14.364336
| 13.216887
| 12.952584
| 13.198418
| 13.713544
| 14.561443
| 15.019737
| 12.852132
| 13.303707
| 13.376156
| 14.036595
|
2002.08272
|
Sunandan Gangopadhyay
|
Sourav Karar, Sunandan Gangopadhyay
|
Holographic information theoretic quantities for Lifshitz black hole
|
23 pages Latex
| null |
10.1140/epjc/s10052-020-8091-7
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we have investigated the holographic entanglement entropy for
a linear subsystem in a $3+1$-dimensional Lifshitz black hole. The entanglement
entropy has been analysed in both the infra-red and ultra-violet limits, and
has also been computed in the near horizon approximation. The notion of a
generalized temperature in terms of the renormalized entanglement entropy has
been introduced. This also leads to a generalized thermodynamics like law
$E=T_g S_{REE}$. The generalized temperature has been defined in such a way
that it reduces to the Hawking temperature in the infra-red limit. We have then
computed the holographic subregion complexity. Then the Fisher information
metric and the fidelity susceptibility for the same linear subsystem have also
been computed using the bulk dual prescriptions. It has been observed that the
two metrics are not related to each other.
|
[
{
"created": "Thu, 13 Feb 2020 06:32:36 GMT",
"version": "v1"
}
] |
2020-07-15
|
[
[
"Karar",
"Sourav",
""
],
[
"Gangopadhyay",
"Sunandan",
""
]
] |
In this paper, we have investigated the holographic entanglement entropy for a linear subsystem in a $3+1$-dimensional Lifshitz black hole. The entanglement entropy has been analysed in both the infra-red and ultra-violet limits, and has also been computed in the near horizon approximation. The notion of a generalized temperature in terms of the renormalized entanglement entropy has been introduced. This also leads to a generalized thermodynamics like law $E=T_g S_{REE}$. The generalized temperature has been defined in such a way that it reduces to the Hawking temperature in the infra-red limit. We have then computed the holographic subregion complexity. Then the Fisher information metric and the fidelity susceptibility for the same linear subsystem have also been computed using the bulk dual prescriptions. It has been observed that the two metrics are not related to each other.
| 7.701836
| 6.572618
| 8.275233
| 6.560934
| 6.391512
| 6.979987
| 6.367133
| 6.807498
| 6.570145
| 7.990108
| 6.671241
| 6.827926
| 7.026759
| 6.680865
| 6.771955
| 6.965642
| 6.936106
| 6.652375
| 6.767526
| 7.534211
| 6.98493
|
1406.4494
|
Oscar Moreno
|
O. Moreno, T. W. Donnelly, J. W. Van Orden, W. P. Ford
|
Semi-inclusive charged-current neutrino-nucleus reactions
| null |
Phys. Rev. D 90, 013014 (2015)
|
10.1103/PhysRevD.90.013014
| null |
hep-th nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The general, universal formalism for semi-inclusive charged-current
(anti)neutrino-nucleus reactions is given for studies of any hadronic system,
namely, either nuclei or the nucleon itself. The detailed developments are
presented with the former in mind and are further specialized to cases where
the final-state charged lepton and an ejected nucleon are presumed to be
detected. General kinematics for such processes are summarized and then
explicit expressions are developed for the leptonic and hadronic tensors
involved and for the corresponding responses according to the usual charge,
longitudinal and transverse projections, keeping finite the masses of all
particles involved. In the case of the hadronic responses, general symmetry
principles are invoked to determine which contributions can occur. Finally, the
general leptonic-hadronic tensor contraction is given as well as the cross
section for the process.
|
[
{
"created": "Tue, 17 Jun 2014 19:31:48 GMT",
"version": "v1"
}
] |
2015-04-15
|
[
[
"Moreno",
"O.",
""
],
[
"Donnelly",
"T. W.",
""
],
[
"Van Orden",
"J. W.",
""
],
[
"Ford",
"W. P.",
""
]
] |
The general, universal formalism for semi-inclusive charged-current (anti)neutrino-nucleus reactions is given for studies of any hadronic system, namely, either nuclei or the nucleon itself. The detailed developments are presented with the former in mind and are further specialized to cases where the final-state charged lepton and an ejected nucleon are presumed to be detected. General kinematics for such processes are summarized and then explicit expressions are developed for the leptonic and hadronic tensors involved and for the corresponding responses according to the usual charge, longitudinal and transverse projections, keeping finite the masses of all particles involved. In the case of the hadronic responses, general symmetry principles are invoked to determine which contributions can occur. Finally, the general leptonic-hadronic tensor contraction is given as well as the cross section for the process.
| 14.535023
| 16.754078
| 14.653466
| 13.546487
| 15.289957
| 17.381382
| 16.167894
| 16.460987
| 14.660797
| 15.512849
| 14.24697
| 14.653928
| 14.171359
| 14.356807
| 14.245
| 14.327844
| 13.800892
| 14.505323
| 13.755529
| 13.830053
| 14.119325
|
1501.06895
|
Fabio Riccioni
|
Alessio Marrani, Fabio Riccioni and Luca Romano
|
Real weights, bound states and duality orbits
|
58 pages, 14 figures. v2: Sec. 6 added, typos fixed, Refs.
reorganized. To appear in IJMPA
| null |
10.1142/S0217751X15502188
|
DFPD/2015/TH/1
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the duality orbits of extremal black holes in supergravity
theories with symmetric scalar manifolds can be derived by studying the
stabilizing subalgebras of suitable representatives, realized as bound states
of specific weight vectors of the corresponding representation of the duality
symmetry group. The weight vectors always correspond to weights that are real,
where the reality properties are derived from the Tits-Satake diagram that
identifies the real form of the Lie algebra of the duality symmetry group. Both
N=2 magic Maxwell-Einstein supergravities and the semisimple infinite sequences
of N=2 and N=4 theories in D=4 and 5 are considered, and various results,
obtained over the years in the literature using different methods, are
retrieved. In particular, we show that the stratification of the orbits of
these theories occurs because of very specific properties of the
representations: in the case of the theory based on the real numbers, whose
symmetry group is maximally non-compact and therefore all the weights are real,
the stratification is due to the presence of weights of different length, while
in the other cases it is due to the presence of complex weights.
|
[
{
"created": "Tue, 27 Jan 2015 20:25:15 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Nov 2015 11:30:18 GMT",
"version": "v2"
}
] |
2016-01-20
|
[
[
"Marrani",
"Alessio",
""
],
[
"Riccioni",
"Fabio",
""
],
[
"Romano",
"Luca",
""
]
] |
We show that the duality orbits of extremal black holes in supergravity theories with symmetric scalar manifolds can be derived by studying the stabilizing subalgebras of suitable representatives, realized as bound states of specific weight vectors of the corresponding representation of the duality symmetry group. The weight vectors always correspond to weights that are real, where the reality properties are derived from the Tits-Satake diagram that identifies the real form of the Lie algebra of the duality symmetry group. Both N=2 magic Maxwell-Einstein supergravities and the semisimple infinite sequences of N=2 and N=4 theories in D=4 and 5 are considered, and various results, obtained over the years in the literature using different methods, are retrieved. In particular, we show that the stratification of the orbits of these theories occurs because of very specific properties of the representations: in the case of the theory based on the real numbers, whose symmetry group is maximally non-compact and therefore all the weights are real, the stratification is due to the presence of weights of different length, while in the other cases it is due to the presence of complex weights.
| 9.111558
| 8.672658
| 10.630785
| 8.626277
| 9.269705
| 8.891068
| 8.915702
| 8.676758
| 8.992944
| 10.01443
| 8.694952
| 9.070045
| 9.316327
| 8.640834
| 8.750518
| 8.885495
| 8.72086
| 8.758474
| 8.558434
| 9.121011
| 8.867229
|
1505.05875
|
Jose' P. S. Lemos
|
Jos\'e P. S. Lemos, Gon\c{c}alo M. Quinta, Oleg B. Zaslavskii
|
Entropy of an extremal electrically charged thin shell and the extremal
black hole
|
11 pages, minor changes, added references, matches the published
version
|
Physics Letters B 750, 306 (2015)
|
10.1016/j.physletb.2015.08.065
| null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
There is a debate as to what is the value of the the entropy $S$ of extremal
black holes. There are approaches that yield zero entropy $S=0$, while there
are others that yield the Bekenstein-Hawking entropy $S=A_+/4$, in Planck
units. There are still other approaches that give that $S$ is proportional to
$r_+$ or even that $S$ is a generic well-behaved function of $r_+$. Here $r_+$
is the black hole horizon radius and $A_+=4\pi r_+^2$ is its horizon area.
Using a spherically symmetric thin matter shell with extremal electric charge,
we find the entropy expression for the extremal thin shell spacetime. When the
shell's radius approaches its own gravitational radius, and thus turns into an
extremal black hole, we encounter that the entropy is $S=S(r_+)$, i.e., the
entropy of an extremal black hole is a function of $r_+$ alone. We speculate
that the range of values for an extremal black hole is $0\leq S(r_+) \leq
A_+/4$.
|
[
{
"created": "Thu, 21 May 2015 20:00:12 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Oct 2015 00:54:57 GMT",
"version": "v2"
}
] |
2015-10-14
|
[
[
"Lemos",
"José P. S.",
""
],
[
"Quinta",
"Gonçalo M.",
""
],
[
"Zaslavskii",
"Oleg B.",
""
]
] |
There is a debate as to what is the value of the the entropy $S$ of extremal black holes. There are approaches that yield zero entropy $S=0$, while there are others that yield the Bekenstein-Hawking entropy $S=A_+/4$, in Planck units. There are still other approaches that give that $S$ is proportional to $r_+$ or even that $S$ is a generic well-behaved function of $r_+$. Here $r_+$ is the black hole horizon radius and $A_+=4\pi r_+^2$ is its horizon area. Using a spherically symmetric thin matter shell with extremal electric charge, we find the entropy expression for the extremal thin shell spacetime. When the shell's radius approaches its own gravitational radius, and thus turns into an extremal black hole, we encounter that the entropy is $S=S(r_+)$, i.e., the entropy of an extremal black hole is a function of $r_+$ alone. We speculate that the range of values for an extremal black hole is $0\leq S(r_+) \leq A_+/4$.
| 5.254991
| 5.301697
| 4.954629
| 5.001174
| 5.08399
| 5.301516
| 5.27089
| 5.013549
| 5.135216
| 5.154715
| 4.953772
| 5.122066
| 4.984551
| 5.042246
| 4.967671
| 5.063402
| 5.001011
| 4.991644
| 5.006167
| 5.011927
| 5.062124
|
hep-th/0510210
|
Federico Piazza
|
Kazuya Koyama, Federico Piazza and David Wands (ICG, Portsmouth)
|
Enhanced gravitational scattering from large extra dimensions
|
9 pages, section on quantum suppression effects added
| null | null | null |
hep-th astro-ph gr-qc hep-ph
| null |
We investigate whether enhanced gravitational scattering on small scales (<
0.1mm), which becomes possible in models with large extra dimensions, can
establish statistical equilibrium between different particle species in the
early Universe. We calculate the classical relativistic energy transfer rate
for two species with a large ratio between their masses for a general elastic
scattering cross section. Although the classical calculation suggests that
ultra-light WIMPs (e.g., axions) can be thermalized by gravitational
scattering, such interactions are considerably less efficient once quantum
effects are taken into account on scales below the Compton wavelength. However
the energy transfer rate in models with several extra dimensions may still be
sensitive to trans-Planckian physics.
|
[
{
"created": "Tue, 25 Oct 2005 14:12:09 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Mar 2006 12:59:27 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Koyama",
"Kazuya",
"",
"ICG, Portsmouth"
],
[
"Piazza",
"Federico",
"",
"ICG, Portsmouth"
],
[
"Wands",
"David",
"",
"ICG, Portsmouth"
]
] |
We investigate whether enhanced gravitational scattering on small scales (< 0.1mm), which becomes possible in models with large extra dimensions, can establish statistical equilibrium between different particle species in the early Universe. We calculate the classical relativistic energy transfer rate for two species with a large ratio between their masses for a general elastic scattering cross section. Although the classical calculation suggests that ultra-light WIMPs (e.g., axions) can be thermalized by gravitational scattering, such interactions are considerably less efficient once quantum effects are taken into account on scales below the Compton wavelength. However the energy transfer rate in models with several extra dimensions may still be sensitive to trans-Planckian physics.
| 12.842583
| 13.188004
| 11.95519
| 13.09095
| 13.97032
| 12.925857
| 12.607424
| 13.311198
| 12.935456
| 13.751896
| 12.483046
| 12.913467
| 12.09278
| 11.75001
| 12.320033
| 12.627468
| 12.386543
| 12.388959
| 12.093647
| 11.733886
| 12.230518
|
1106.0890
|
Bartosz Fornal
|
Bartosz Fornal, Mark B. Wise
|
Standard model with compactified spatial dimensions
|
7 pages, 2 figures; v2: published in JHEP
|
JHEP 1107:086,2011
|
10.1007/JHEP07(2011)086
|
CALT 68-2838
|
hep-th astro-ph.CO hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyze the structure of the standard model coupled to gravity with
spatial dimensions compactified on a three-torus. We find that there are no
stable one-dimensional vacua at zero temperature, although there does exist an
unstable vacuum for a particular set of Dirac neutrino masses.
|
[
{
"created": "Sun, 5 Jun 2011 10:30:00 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Aug 2011 09:00:01 GMT",
"version": "v2"
}
] |
2011-08-08
|
[
[
"Fornal",
"Bartosz",
""
],
[
"Wise",
"Mark B.",
""
]
] |
We analyze the structure of the standard model coupled to gravity with spatial dimensions compactified on a three-torus. We find that there are no stable one-dimensional vacua at zero temperature, although there does exist an unstable vacuum for a particular set of Dirac neutrino masses.
| 10.846541
| 12.054572
| 10.295012
| 9.826748
| 11.681127
| 10.82419
| 11.116267
| 10.649319
| 10.886209
| 11.415059
| 9.858686
| 9.257977
| 9.697619
| 9.633098
| 9.439377
| 9.61259
| 9.701823
| 9.633264
| 9.966758
| 9.950719
| 9.603512
|
hep-th/0601133
|
Kenji Hotta
|
Kenji Hotta
|
Non-BPS D9-branes in the Early Universe
|
26 pages, 9 figures, comments and references added, minor errors
corrected, version to appear in JHEP
|
JHEP0603:070,2006
|
10.1143/PTPS.171.140
|
KEK-TH-1068
|
hep-th gr-qc
| null |
We have investigated the finite temperature systems of non-BPS D-branes and
D-brane-anti-D-brane pairs in the previous papers. It has been shown that
non-BPS D9-branes and D9-anti-D9 pairs become stable near the Hagedorn
temperature on the basis of boundary string field theory. This implies that
there is a possibility that these spacetime-filling branes exist in the early
universe. We study the time evolution of the universe in the presence of
non-BPS D9-branes on the basis of boundary string field theory in this paper.
We try to construct the following scenario for the early universe: The universe
expands at high temperature and the open string gas on the non-BPS D9-branes
dominates the total energy of the system at first. The temperature decreases as
the universe expands. Then the non-BPS D9-branes become unstable at low
temperature and decay through tachyon condensation. We obtain some classical
solutions for Einstein gravity and dilaton gravity in the very simple cases.
|
[
{
"created": "Thu, 19 Jan 2006 08:15:27 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Jan 2006 10:30:10 GMT",
"version": "v2"
},
{
"created": "Sun, 29 Jan 2006 16:58:28 GMT",
"version": "v3"
},
{
"created": "Mon, 20 Mar 2006 14:25:33 GMT",
"version": "v4"
}
] |
2009-11-11
|
[
[
"Hotta",
"Kenji",
""
]
] |
We have investigated the finite temperature systems of non-BPS D-branes and D-brane-anti-D-brane pairs in the previous papers. It has been shown that non-BPS D9-branes and D9-anti-D9 pairs become stable near the Hagedorn temperature on the basis of boundary string field theory. This implies that there is a possibility that these spacetime-filling branes exist in the early universe. We study the time evolution of the universe in the presence of non-BPS D9-branes on the basis of boundary string field theory in this paper. We try to construct the following scenario for the early universe: The universe expands at high temperature and the open string gas on the non-BPS D9-branes dominates the total energy of the system at first. The temperature decreases as the universe expands. Then the non-BPS D9-branes become unstable at low temperature and decay through tachyon condensation. We obtain some classical solutions for Einstein gravity and dilaton gravity in the very simple cases.
| 5.96232
| 5.544905
| 6.33617
| 5.521204
| 5.551151
| 5.859757
| 5.23283
| 5.706769
| 5.385133
| 6.468078
| 5.738921
| 5.739155
| 5.998644
| 5.732595
| 5.82592
| 5.717005
| 5.510404
| 5.89045
| 5.761471
| 5.826546
| 5.712599
|
hep-th/9512018
| null |
J. W. Moffat
|
Nonsymmetric Gravitational Theory as a String Theory
|
10 pages. RevTex file. No figures
| null | null |
UTPT-95-26
|
hep-th astro-ph
| null |
It is shown that the new version of nonsymmetric gravitational theory (NGT)
corresponds in the linear approximation to linear Einstein gravity theory and
antisymmetric field equations with a non-conserved string source current. The
Hamiltonian for the antisymmetric field equations is bounded from below and
describes the exchange of a spin $1^+$ massive vector boson between open
strings. The non-Riemannian geometrical theory is formulated in terms of a
nonsymmetric fundamental tensor $g_{\mu\nu}$. The weak field limit,
$g_{[\mu\nu]}\rightarrow 0$, associated with large distance scales, corresponds
to the limit to a confinement region at low energies described by an effective
Yukawa potential at galactic distance scales. The limit to this low-energy
confinement region is expected to be singular and non-perturbative. The NGT
string theory predicts that there are no black hole event horizons associated
with infinite red shift null surfaces.
|
[
{
"created": "Mon, 4 Dec 1995 22:07:53 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Moffat",
"J. W.",
""
]
] |
It is shown that the new version of nonsymmetric gravitational theory (NGT) corresponds in the linear approximation to linear Einstein gravity theory and antisymmetric field equations with a non-conserved string source current. The Hamiltonian for the antisymmetric field equations is bounded from below and describes the exchange of a spin $1^+$ massive vector boson between open strings. The non-Riemannian geometrical theory is formulated in terms of a nonsymmetric fundamental tensor $g_{\mu\nu}$. The weak field limit, $g_{[\mu\nu]}\rightarrow 0$, associated with large distance scales, corresponds to the limit to a confinement region at low energies described by an effective Yukawa potential at galactic distance scales. The limit to this low-energy confinement region is expected to be singular and non-perturbative. The NGT string theory predicts that there are no black hole event horizons associated with infinite red shift null surfaces.
| 13.362071
| 15.085466
| 11.825233
| 12.204321
| 14.842208
| 13.110847
| 14.11439
| 13.402664
| 13.397763
| 13.731318
| 13.412417
| 12.502766
| 12.472357
| 12.224133
| 12.19948
| 12.535375
| 13.005371
| 12.240755
| 12.435085
| 12.374668
| 12.169327
|
1603.01738
|
Luiz Brito
|
Giuliano R. Toniolo, H. G. Fargnoli, L. C. T. Brito and A. P. Ba\^eta
Scarpelli
|
Tree-level equivalence between a Lorentz-violating extension of QED and
its dual model in electron-electron scattering
|
8 pages, 2 figures
| null |
10.1140/epjc/s10052-017-4674-3
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
S-matrix amplitudes for the electron-electron scattering are calculated in
order to verify the quantum equivalence of dual models. We used an extended
Quantum Electrodynamics with CPT-even Lorentz-violating kinetic and mass terms,
which was used in a process of gauge embedding, known as Noether dualizationn
method (NDM), in order to generate its gauge-invariant dual model. The physical
equivalence was established at tree-level and the cross section was calculated
to second order in the Lorentz-violating parameter.
|
[
{
"created": "Sat, 5 Mar 2016 16:01:29 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Nov 2016 14:08:08 GMT",
"version": "v2"
}
] |
2017-03-08
|
[
[
"Toniolo",
"Giuliano R.",
""
],
[
"Fargnoli",
"H. G.",
""
],
[
"Brito",
"L. C. T.",
""
],
[
"Scarpelli",
"A. P. Baêta",
""
]
] |
S-matrix amplitudes for the electron-electron scattering are calculated in order to verify the quantum equivalence of dual models. We used an extended Quantum Electrodynamics with CPT-even Lorentz-violating kinetic and mass terms, which was used in a process of gauge embedding, known as Noether dualizationn method (NDM), in order to generate its gauge-invariant dual model. The physical equivalence was established at tree-level and the cross section was calculated to second order in the Lorentz-violating parameter.
| 14.872238
| 12.901717
| 14.400224
| 13.004922
| 12.477865
| 11.498935
| 11.523917
| 12.057579
| 13.034399
| 15.590297
| 13.421009
| 12.591741
| 13.660203
| 13.255611
| 12.360894
| 12.853385
| 13.004485
| 13.101687
| 12.949885
| 13.77618
| 13.104805
|
1412.6866
|
Francisco A. Brito
|
D. Bazeia, F.A. Brito, and F.G. Costa
|
Induced higher-derivative massive gravity on a 2-brane in 4D Minkowski
space
|
Latex, 12 pages, no figure; refs added, version to appear in PLB
|
Phys. Lett. B 742 (2015) 317
|
10.1016/j.physletb.2015.01.051
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we revisit the problem of localizing gravity in a 2-brane
embedded in a 4D Minkowski space to address induction of high derivative
massive gravity. We explore the structure of propagators to find well-behaved
higher-derivative massive gravity induced on the brane. Exploring a special
case in the generalized mass term of the graviton propagator we find a model of
consistent higher order gravity with an additional unitary massive spin-2
particle and two massless particles: one spin-0 particle and one spin-1
particle. The condition for the absence of tachyons is satisfied for both
`right' and `wrong' signs of the Einstein-Hilbert term on the 2-brane. We also
find the Pauli-Fierz mass term added to the new massive gravity in three
dimensions and recover the low dimensional DGP model.
|
[
{
"created": "Mon, 22 Dec 2014 04:28:05 GMT",
"version": "v1"
},
{
"created": "Sat, 31 Jan 2015 23:22:35 GMT",
"version": "v2"
}
] |
2015-02-25
|
[
[
"Bazeia",
"D.",
""
],
[
"Brito",
"F. A.",
""
],
[
"Costa",
"F. G.",
""
]
] |
In this paper we revisit the problem of localizing gravity in a 2-brane embedded in a 4D Minkowski space to address induction of high derivative massive gravity. We explore the structure of propagators to find well-behaved higher-derivative massive gravity induced on the brane. Exploring a special case in the generalized mass term of the graviton propagator we find a model of consistent higher order gravity with an additional unitary massive spin-2 particle and two massless particles: one spin-0 particle and one spin-1 particle. The condition for the absence of tachyons is satisfied for both `right' and `wrong' signs of the Einstein-Hilbert term on the 2-brane. We also find the Pauli-Fierz mass term added to the new massive gravity in three dimensions and recover the low dimensional DGP model.
| 10.985387
| 10.419904
| 11.334114
| 10.196548
| 9.65589
| 9.726118
| 10.75386
| 10.167433
| 10.23455
| 11.976768
| 10.069175
| 9.586439
| 10.647298
| 10.149898
| 10.031655
| 10.022339
| 10.01806
| 10.009856
| 9.901964
| 10.817733
| 10.265745
|
hep-th/0601109
|
Keisuke Okamura
|
Heng-Yu Chen and Keisuke Okamura
|
The Anatomy of Gauge/String Duality in Lunin-Maldacena Background
|
1+31 pages, 3 figures, references added, typos corrected, discussion
on constraints and free parameters in spin-chain analysis added and corrected
|
JHEP0602:054,2006
|
10.1088/1126-6708/2006/02/054
| null |
hep-th
| null |
We consider the correspondence between the spinning string solutions in
Lunin-Maldacena background and the single trace operators in the
Leigh-Strassler deformation of N=4 SYM. By imposing an appropriate rotating
string ans\"atz on the Landau-Lifshitz reduced sigma model in the deformed
SU(2) sector, we find two types of `elliptic' solutions with two spins, which
turn out to be the solutions associated with the Neumann-Rosochatius system. We
then calculate the string energies as functions of spins, and obtain their
explicit forms in terms of a set of moduli parameters. On the deformed
spin-chain side, we explicitly compute the one-loop anomalous dimensions of the
gauge theory operators dual to each of the two types of spinning string
solutions, extending and complementing the results of hep-th/0511164. Moreover,
we propose explicit ans\"atze on how the locations of the Bethe strings are
affected due to the deformation, with several supports from the string side.
|
[
{
"created": "Mon, 16 Jan 2006 20:16:57 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Jan 2006 12:22:11 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Chen",
"Heng-Yu",
""
],
[
"Okamura",
"Keisuke",
""
]
] |
We consider the correspondence between the spinning string solutions in Lunin-Maldacena background and the single trace operators in the Leigh-Strassler deformation of N=4 SYM. By imposing an appropriate rotating string ans\"atz on the Landau-Lifshitz reduced sigma model in the deformed SU(2) sector, we find two types of `elliptic' solutions with two spins, which turn out to be the solutions associated with the Neumann-Rosochatius system. We then calculate the string energies as functions of spins, and obtain their explicit forms in terms of a set of moduli parameters. On the deformed spin-chain side, we explicitly compute the one-loop anomalous dimensions of the gauge theory operators dual to each of the two types of spinning string solutions, extending and complementing the results of hep-th/0511164. Moreover, we propose explicit ans\"atze on how the locations of the Bethe strings are affected due to the deformation, with several supports from the string side.
| 9.191537
| 7.86765
| 11.146326
| 8.519632
| 8.897447
| 8.467462
| 8.250294
| 8.167612
| 8.095223
| 11.523698
| 8.154953
| 8.234877
| 9.327092
| 8.291934
| 8.344687
| 8.253042
| 8.268588
| 8.477994
| 8.358083
| 9.025154
| 8.393616
|
hep-th/0610142
|
Ziyu Liu
|
Xi-Guo Lee, Zi-Yu Liu, Yong-Qing Li, Peng-Ming Zhang
|
Topological structure of the many vortices solution in Jackiw-Pi model
|
14 pages, 4 figures
|
Mod.Phys.Lett.A23:1055-1066,2008
|
10.1142/S0217732308025620
| null |
hep-th
| null |
We construct an M-solitons solutions in Jackiw-Pi model depends on 5M
parameters(two positions, one scale, one phase per solition and one charge of
each solution). By using \phi -mapping method, we discuss the topological
structure of the self-duality solution in Jackiw-Pi model in terms of gauge
potential decomposition. We set up relationship between Chern-Simons vortices
solution and topological number which is determined by Hopf indices and and
Brouwer degrees. We also give the quantization of flux in this case.
|
[
{
"created": "Thu, 12 Oct 2006 13:25:25 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Jan 2007 01:32:04 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Lee",
"Xi-Guo",
""
],
[
"Liu",
"Zi-Yu",
""
],
[
"Li",
"Yong-Qing",
""
],
[
"Zhang",
"Peng-Ming",
""
]
] |
We construct an M-solitons solutions in Jackiw-Pi model depends on 5M parameters(two positions, one scale, one phase per solition and one charge of each solution). By using \phi -mapping method, we discuss the topological structure of the self-duality solution in Jackiw-Pi model in terms of gauge potential decomposition. We set up relationship between Chern-Simons vortices solution and topological number which is determined by Hopf indices and and Brouwer degrees. We also give the quantization of flux in this case.
| 18.791815
| 18.098644
| 22.11628
| 18.483007
| 19.437132
| 19.533381
| 18.71567
| 18.349442
| 18.499836
| 24.02129
| 19.083355
| 18.425941
| 19.750313
| 19.438114
| 20.048315
| 19.369419
| 19.000748
| 19.719215
| 19.343212
| 21.865873
| 19.937075
|
1304.7794
|
Steven Gubser
|
Oliver DeWolfe, Steven S. Gubser, Christopher Rosen, and Derek Teaney
|
Heavy ions and string theory
|
82 pages, 27 figures. v2: References updated
| null |
10.1016/j.ppnp.2013.11.001
|
COLO-HEP-579, PUPT-2446
|
hep-th nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review a selection of recent developments in the application of ideas of
string theory to heavy ion physics. Our topics divide naturally into
equilibrium and non-equilibrium phenomena. On the non-equilibrium side, we
discuss generalizations of Bjorken flow, numerical simulations of black hole
formation in asymptotically anti-de Sitter geometries, equilibration in the
dual field theory, and hard probes. On the equilibrium side, we summarize
improved holographic QCD, extraction of transport coefficients, inclusion of
chemical potentials, and approaches to the phase diagram. We close with some
possible directions for future research.
|
[
{
"created": "Mon, 29 Apr 2013 20:26:54 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Nov 2013 20:44:14 GMT",
"version": "v2"
}
] |
2014-03-05
|
[
[
"DeWolfe",
"Oliver",
""
],
[
"Gubser",
"Steven S.",
""
],
[
"Rosen",
"Christopher",
""
],
[
"Teaney",
"Derek",
""
]
] |
We review a selection of recent developments in the application of ideas of string theory to heavy ion physics. Our topics divide naturally into equilibrium and non-equilibrium phenomena. On the non-equilibrium side, we discuss generalizations of Bjorken flow, numerical simulations of black hole formation in asymptotically anti-de Sitter geometries, equilibration in the dual field theory, and hard probes. On the equilibrium side, we summarize improved holographic QCD, extraction of transport coefficients, inclusion of chemical potentials, and approaches to the phase diagram. We close with some possible directions for future research.
| 8.504835
| 8.078581
| 7.822305
| 7.692415
| 8.00771
| 8.796527
| 7.377087
| 8.16642
| 7.352618
| 8.204857
| 7.948029
| 7.965292
| 7.850745
| 7.650907
| 7.77226
| 7.670567
| 7.853601
| 7.689383
| 7.398099
| 7.581433
| 7.775537
|
1312.4972
|
Jai More Ms.
|
Jai D. More and Anuradha Misra
|
Infra-red divergences in Light Front Field Theory and Coherent State
Formalism
|
6 pages,for Proceedings of Light-Cone Conference 2013, May 20-24,
2013, Skiathos, Greece. TO appear in Few Body system
| null |
10.1007/s00601-013-0794-y
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss fermion self energy correction in light front QED using a coherent
state basis. We show that if one uses coherent state basis instead of fock
basis to calculate the transition matrix elements the true infrared divergences
in $\delta m^2$ get canceled up to $O(e^4)$ . We show this in Light-front as
well as in Feynman gauge.
|
[
{
"created": "Tue, 17 Dec 2013 21:03:00 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"More",
"Jai D.",
""
],
[
"Misra",
"Anuradha",
""
]
] |
We discuss fermion self energy correction in light front QED using a coherent state basis. We show that if one uses coherent state basis instead of fock basis to calculate the transition matrix elements the true infrared divergences in $\delta m^2$ get canceled up to $O(e^4)$ . We show this in Light-front as well as in Feynman gauge.
| 14.24501
| 9.314526
| 12.447203
| 9.987293
| 13.168387
| 8.729876
| 8.775715
| 9.29911
| 9.483397
| 13.050566
| 10.736569
| 11.926319
| 12.947578
| 11.990399
| 12.309517
| 11.475636
| 11.588643
| 12.03896
| 11.234696
| 12.71781
| 11.424698
|
hep-th/0509043
|
Thorsten Battefeld
|
T. J. Battefeld, S. P. Patil, R. H. Brandenberger
|
On the Transfer of Metric Fluctuations when Extra Dimensions Bounce or
Stabilize
|
V2. Minor Clarifications V3. appendix and 2 figures added, typos
corrected, conclusions unchanged 12 pages, 6 figures
|
Phys.Rev. D73 (2006) 086002
|
10.1103/PhysRevD.73.086002
| null |
hep-th astro-ph gr-qc hep-ph
| null |
In this report, we study within the context of general relativity with one
extra dimension compactified either on a circle or an orbifold, how radion
fluctuations interact with metric fluctuations in the three non-compact
directions. The background is non-singular and can either describe an extra
dimension on its way to stabilization, or immediately before and after a series
of non-singular bounces. We find that the metric fluctuations transfer
undisturbed through the bounces or through the transients of the
pre-stabilization epoch. Our background is obtained by considering the effects
of a gas of massless string modes in the context of a consistent 'massless
background' (or low energy effective theory) limit of string theory. We discuss
applications to various approaches to early universe cosmology, including the
ekpyrotic/cyclic universe scenario and string gas cosmology.
|
[
{
"created": "Mon, 5 Sep 2005 20:04:06 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Sep 2005 20:35:53 GMT",
"version": "v2"
},
{
"created": "Tue, 14 Mar 2006 20:00:25 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Battefeld",
"T. J.",
""
],
[
"Patil",
"S. P.",
""
],
[
"Brandenberger",
"R. H.",
""
]
] |
In this report, we study within the context of general relativity with one extra dimension compactified either on a circle or an orbifold, how radion fluctuations interact with metric fluctuations in the three non-compact directions. The background is non-singular and can either describe an extra dimension on its way to stabilization, or immediately before and after a series of non-singular bounces. We find that the metric fluctuations transfer undisturbed through the bounces or through the transients of the pre-stabilization epoch. Our background is obtained by considering the effects of a gas of massless string modes in the context of a consistent 'massless background' (or low energy effective theory) limit of string theory. We discuss applications to various approaches to early universe cosmology, including the ekpyrotic/cyclic universe scenario and string gas cosmology.
| 12.17549
| 14.182654
| 12.951371
| 12.827573
| 13.649996
| 13.79798
| 13.3428
| 12.670236
| 12.879682
| 13.128332
| 12.861053
| 11.581081
| 12.259924
| 12.157621
| 12.121793
| 12.479805
| 12.535184
| 12.056828
| 11.804422
| 12.302191
| 11.854307
|
hep-th/0302153
|
Christoph Sieg
|
Harald Dorn and Christoph Sieg (Humboldt University of Berlin)
|
Conformal boundary and geodesics for $AdS_5\times S^5$ and the plane
wave: Their approach in the Penrose limit
|
some statements refined, chapter 5 rewritten to make it more precise,
some typos corrected
|
JHEP 0304 (2003) 030
|
10.1088/1126-6708/2003/04/030
|
HU-Berlin-EP-03/07
|
hep-th
| null |
Projecting on a suitable subset of coordinates, a picture is constructed in
which the conformal boundary of $AdS_5\times S^5$ and that of the plane wave
resulting in the Penrose limit are located at the same line. In a second line
of arguments all $AdS_5\times S^5$ and plane wave geodesics are constructed in
their integrated form. Performing the Penrose limit, the approach of null
geodesics reaching the conformal boundary of $AdS_5\times S^5$ to that of the
plane wave is studied in detail. At each point these null geodesics of
$AdS_5\times S^5$ form a cone which degenerates in the limit.
|
[
{
"created": "Wed, 19 Feb 2003 15:02:26 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Mar 2003 10:55:48 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Dorn",
"Harald",
"",
"Humboldt University of Berlin"
],
[
"Sieg",
"Christoph",
"",
"Humboldt University of Berlin"
]
] |
Projecting on a suitable subset of coordinates, a picture is constructed in which the conformal boundary of $AdS_5\times S^5$ and that of the plane wave resulting in the Penrose limit are located at the same line. In a second line of arguments all $AdS_5\times S^5$ and plane wave geodesics are constructed in their integrated form. Performing the Penrose limit, the approach of null geodesics reaching the conformal boundary of $AdS_5\times S^5$ to that of the plane wave is studied in detail. At each point these null geodesics of $AdS_5\times S^5$ form a cone which degenerates in the limit.
| 7.342726
| 6.880091
| 7.918301
| 6.809419
| 6.76337
| 7.277214
| 7.672645
| 6.884457
| 6.791883
| 8.536201
| 6.736032
| 6.424671
| 6.832073
| 6.560356
| 6.726142
| 6.53101
| 6.901692
| 6.667982
| 6.628863
| 7.078432
| 6.83764
|
1211.4596
|
Anton Morozov Mr.
|
Anton Morozov
|
The first-order deviation of superpolynomial in an arbitrary
representation from the special polynomial
|
4 pages
|
JETP Lett. 97 (2013) 171-172, arXiv:1211.4596
|
10.1134/S0021364013040103
|
ITEP-TH-50/12
|
hep-th math-ph math.GT math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Like all other knot polynomials, the superpolynomials should be defined in
arbitrary representation R of the gauge group in (refined) Chern-Simons theory.
However, not a single example is yet known of a superpolynomial beyond
symmetric or antisymmetric representations. We consider the expansion of the
superpolynomial around the special polynomial in powers of (q-1) and (t-1) and
suggest a simple formula for the first-order deviation, which is presumably
valid for arbitrary representation. This formula can serve as a crucial lacking
test of various formulas for non-trivial superpolynomials, which will appear in
the literature in the near future.
|
[
{
"created": "Mon, 19 Nov 2012 21:22:08 GMT",
"version": "v1"
},
{
"created": "Sat, 29 Dec 2012 20:11:02 GMT",
"version": "v2"
}
] |
2014-07-24
|
[
[
"Morozov",
"Anton",
""
]
] |
Like all other knot polynomials, the superpolynomials should be defined in arbitrary representation R of the gauge group in (refined) Chern-Simons theory. However, not a single example is yet known of a superpolynomial beyond symmetric or antisymmetric representations. We consider the expansion of the superpolynomial around the special polynomial in powers of (q-1) and (t-1) and suggest a simple formula for the first-order deviation, which is presumably valid for arbitrary representation. This formula can serve as a crucial lacking test of various formulas for non-trivial superpolynomials, which will appear in the literature in the near future.
| 11.31704
| 10.679454
| 12.670683
| 10.600113
| 9.973351
| 11.150195
| 10.536828
| 10.232869
| 11.097924
| 14.012788
| 10.636304
| 10.263966
| 11.462625
| 9.949175
| 10.488534
| 10.527241
| 10.233491
| 10.281605
| 10.162387
| 11.140643
| 9.833758
|
hep-th/0410133
|
Hristu Culetu
|
Hristu Culetu
|
The zero point energy and gravitation
|
8 pages, minor changes, new reference added
| null | null | null |
hep-th gr-qc
| null |
A possible connection between the energy W of the vacuum fluctuations of
quantum fields and gravity in "empty space" is conjectured in this paper using
a natural cutoff of high momenta with the help of the gravitational radius of
the vacuum region considered. We found that below some "critical" length $L = 1
mm$ the pressure $sigma$ is one third of the energy density $epsilon$, as for
dark matter, but above $1 mm$ the equation of state is $sigma = -(epsilon)$
(dark energy). In the case of a massive field, W does not depend on the mass of
the field for $L<<1 mm$ but for $L>>1 mm$ it does not depend on the Planck
constant. In addition, when the Newton constant tends to zero, W becomes
infinite. The energy density is also a function of the volume V of the vacuum
region taken into account.
|
[
{
"created": "Tue, 12 Oct 2004 11:35:31 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Nov 2004 12:31:08 GMT",
"version": "v2"
},
{
"created": "Wed, 17 Nov 2004 10:43:30 GMT",
"version": "v3"
},
{
"created": "Thu, 18 Nov 2004 16:51:22 GMT",
"version": "v4"
},
{
"created": "Mon, 22 Nov 2004 12:10:38 GMT",
"version": "v5"
}
] |
2007-05-23
|
[
[
"Culetu",
"Hristu",
""
]
] |
A possible connection between the energy W of the vacuum fluctuations of quantum fields and gravity in "empty space" is conjectured in this paper using a natural cutoff of high momenta with the help of the gravitational radius of the vacuum region considered. We found that below some "critical" length $L = 1 mm$ the pressure $sigma$ is one third of the energy density $epsilon$, as for dark matter, but above $1 mm$ the equation of state is $sigma = -(epsilon)$ (dark energy). In the case of a massive field, W does not depend on the mass of the field for $L<<1 mm$ but for $L>>1 mm$ it does not depend on the Planck constant. In addition, when the Newton constant tends to zero, W becomes infinite. The energy density is also a function of the volume V of the vacuum region taken into account.
| 10.765608
| 11.600876
| 10.404508
| 10.582518
| 11.09046
| 11.43007
| 10.884966
| 10.409294
| 10.123936
| 10.477405
| 10.535358
| 10.114836
| 9.934113
| 10.011952
| 10.623836
| 10.315096
| 10.481264
| 10.263244
| 10.404813
| 10.015597
| 10.191288
|
2312.09205
|
Adrian Padellaro
|
George Barnes, Adrian Padellaro, Sanjaye Ramgoolam
|
Permutation invariant tensor models and partition algebras
|
28 pages + 11 pages appendices, 5 figures
| null | null |
QMUL-PH-23-35
|
hep-th math.RT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Matrix models with continuous symmetry are powerful tools for studying
quantum gravity and holography. Tensor models have also found applications in
holographic quantum gravity. Matrix models with discrete permutation symmetry
have been shown to satisfy large $N$ factorisation properties relevant to
holography, while also having applications to the statistical analysis of
ensembles of real-world matrices. Here we develop 3-index tensor models in
dimension $D$ with a discrete symmetry of permutations in the symmetric group
$S_D$. We construct the most general permutation invariant Gaussian tensor
model using the representation theory of symmetric groups and associated
partition algebras. We define a representation basis for the 3-index tensors,
where the two-point function is diagonalised. Inverting the change of basis
gives an explicit formula for the two-point function in the tensor basis for
general $D$.
|
[
{
"created": "Thu, 14 Dec 2023 18:35:44 GMT",
"version": "v1"
}
] |
2023-12-15
|
[
[
"Barnes",
"George",
""
],
[
"Padellaro",
"Adrian",
""
],
[
"Ramgoolam",
"Sanjaye",
""
]
] |
Matrix models with continuous symmetry are powerful tools for studying quantum gravity and holography. Tensor models have also found applications in holographic quantum gravity. Matrix models with discrete permutation symmetry have been shown to satisfy large $N$ factorisation properties relevant to holography, while also having applications to the statistical analysis of ensembles of real-world matrices. Here we develop 3-index tensor models in dimension $D$ with a discrete symmetry of permutations in the symmetric group $S_D$. We construct the most general permutation invariant Gaussian tensor model using the representation theory of symmetric groups and associated partition algebras. We define a representation basis for the 3-index tensors, where the two-point function is diagonalised. Inverting the change of basis gives an explicit formula for the two-point function in the tensor basis for general $D$.
| 10.902632
| 9.806389
| 10.970633
| 10.604934
| 11.740853
| 12.443282
| 10.959237
| 10.669797
| 10.497918
| 13.075674
| 10.599453
| 10.781762
| 10.359118
| 10.15879
| 10.297171
| 10.008657
| 10.018753
| 10.167618
| 10.354873
| 10.055779
| 10.168705
|
1202.2737
|
Navid Abbasi
|
Navid Abbasi, Ali Davody
|
The Energy Loss of a Heavy Quark Moving in a Viscous Fluid
|
33 pages, 6 figures, references added v5: Some corrections
|
JHEP 1206 (2012) 065
|
10.1007/JHEP06(2012)065
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
To study the rate of energy and momentum loss of a heavy quark in QGP,
specifically in the hydrodynamic regime, we use fluid/gravity duality and
construct a perturbative procedure to find the string solution in gravity side.
We show that by this construction the drag force exerted on the quark can be
computed perturbatively, order by order in a boundary derivative expansion. At
ideal order, our result is just the drag force exerted on a moving quark in
thermal plasma with thermodynamics variables promoted to become local functions
of space and time. Furthermore, we apply this procedure to a transverse quark
in Bjorken flow and compute the first-derivative corrections, namely the
viscous corrections, to the drag force.
|
[
{
"created": "Mon, 13 Feb 2012 14:19:33 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Mar 2012 21:08:42 GMT",
"version": "v2"
},
{
"created": "Thu, 26 Apr 2012 09:14:17 GMT",
"version": "v3"
},
{
"created": "Tue, 15 Oct 2013 13:09:53 GMT",
"version": "v4"
},
{
"created": "Thu, 27 Aug 2015 15:12:02 GMT",
"version": "v5"
}
] |
2015-08-28
|
[
[
"Abbasi",
"Navid",
""
],
[
"Davody",
"Ali",
""
]
] |
To study the rate of energy and momentum loss of a heavy quark in QGP, specifically in the hydrodynamic regime, we use fluid/gravity duality and construct a perturbative procedure to find the string solution in gravity side. We show that by this construction the drag force exerted on the quark can be computed perturbatively, order by order in a boundary derivative expansion. At ideal order, our result is just the drag force exerted on a moving quark in thermal plasma with thermodynamics variables promoted to become local functions of space and time. Furthermore, we apply this procedure to a transverse quark in Bjorken flow and compute the first-derivative corrections, namely the viscous corrections, to the drag force.
| 11.274528
| 9.644991
| 11.270643
| 9.492144
| 10.646598
| 10.16161
| 10.20584
| 9.648721
| 9.685419
| 11.955335
| 9.362378
| 9.504286
| 10.454586
| 9.91802
| 9.911592
| 9.72589
| 9.637125
| 9.813339
| 9.981069
| 10.335957
| 9.727036
|
1510.00021
|
Christopher Herzog
|
Christopher P. Herzog, Kuo-Wei Huang, and Kristan Jensen
|
Universal Entanglement and Boundary Geometry in Conformal Field Theory
|
35 pages text plus 17 pages appendices and references, 3 figures; v2
package conflict resolved; v3 refs added, claim regarding newness of boundary
central charge in d=4 removed, factor of 3 typo fixed
| null |
10.1007/JHEP01(2016)162
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Employing a conformal map to hyperbolic space cross a circle, we compute the
universal contribution to the vacuum entanglement entropy (EE) across a sphere
in even-dimensional conformal field theory. Previous attempts to derive the EE
in this way were hindered by a lack of knowledge of the appropriate boundary
terms in the trace anomaly. In this paper we show that the universal part of
the EE can be treated as a purely boundary effect. As a byproduct of our
computation, we derive an explicit form for the A-type anomaly contribution to
the Wess-Zumino term for the trace anomaly, now including boundary terms. In
d=4 and 6, these boundary terms generalize earlier bulk actions derived in the
literature.
|
[
{
"created": "Wed, 30 Sep 2015 20:15:01 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Oct 2015 14:53:40 GMT",
"version": "v2"
},
{
"created": "Fri, 16 Oct 2015 19:49:51 GMT",
"version": "v3"
}
] |
2016-03-23
|
[
[
"Herzog",
"Christopher P.",
""
],
[
"Huang",
"Kuo-Wei",
""
],
[
"Jensen",
"Kristan",
""
]
] |
Employing a conformal map to hyperbolic space cross a circle, we compute the universal contribution to the vacuum entanglement entropy (EE) across a sphere in even-dimensional conformal field theory. Previous attempts to derive the EE in this way were hindered by a lack of knowledge of the appropriate boundary terms in the trace anomaly. In this paper we show that the universal part of the EE can be treated as a purely boundary effect. As a byproduct of our computation, we derive an explicit form for the A-type anomaly contribution to the Wess-Zumino term for the trace anomaly, now including boundary terms. In d=4 and 6, these boundary terms generalize earlier bulk actions derived in the literature.
| 10.042182
| 8.529454
| 10.656459
| 8.504034
| 9.071187
| 8.788479
| 9.100103
| 9.162457
| 8.867146
| 10.696065
| 8.811043
| 8.725712
| 9.187174
| 8.865682
| 8.932196
| 8.748547
| 9.057615
| 8.898406
| 9.212862
| 8.807622
| 9.121639
|
hep-th/0304193
|
Wu Ning
|
Ning Wu
|
Unified Theory of Fundamental Interactions
|
23 pages, no figure
|
Commun.Theor.Phys. 39 (2003) 561-568
|
10.1088/0253-6102/39/5/561
| null |
hep-th
| null |
Based on local gauge invariance, four different kinds of fundamental
interactions in Nature are unified in a theory which has $SU(3)_c \otimes
SU(2)_L \otimes U(1) \otimes_s Gravitational Gauge Group$ gauge symmetry. In
this approach, gravitational field, like electromagnetic field, intermediate
gauge field and gluon field, is represented by gauge potential. Four kinds of
fundamental interactions are formulated in the similar manner, and therefore
can be unified in a direct or semi-direct product group. The model discussed in
this paper can be regarded as extension of the standard model to gravitational
interactions. The model discussed in this paper is a renormalizable quantum
model, so it can be used to study quantum effects of gravitational
interactions.
|
[
{
"created": "Wed, 23 Apr 2003 02:41:07 GMT",
"version": "v1"
}
] |
2018-01-17
|
[
[
"Wu",
"Ning",
""
]
] |
Based on local gauge invariance, four different kinds of fundamental interactions in Nature are unified in a theory which has $SU(3)_c \otimes SU(2)_L \otimes U(1) \otimes_s Gravitational Gauge Group$ gauge symmetry. In this approach, gravitational field, like electromagnetic field, intermediate gauge field and gluon field, is represented by gauge potential. Four kinds of fundamental interactions are formulated in the similar manner, and therefore can be unified in a direct or semi-direct product group. The model discussed in this paper can be regarded as extension of the standard model to gravitational interactions. The model discussed in this paper is a renormalizable quantum model, so it can be used to study quantum effects of gravitational interactions.
| 9.038183
| 9.206077
| 8.595296
| 8.445847
| 8.943707
| 9.414836
| 9.624802
| 9.034448
| 8.624105
| 9.51335
| 8.368148
| 8.266494
| 8.360819
| 8.599265
| 8.406835
| 8.404692
| 8.681246
| 7.974865
| 8.422439
| 8.671415
| 8.100149
|
1111.1082
|
Xavier Bekaert
|
Xavier Bekaert, Elisa Meunier and Sergej Moroz
|
Towards a gravity dual of the unitary Fermi gas
|
5 pages; references and comments added, version accepted for
publication in Phys.Rev.D
|
Phys. Rev. D 85, 106001 (2012)
|
10.1103/PhysRevD.85.106001
|
NT@UW-11-028
|
hep-th cond-mat.other
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Inspired by the method of null dimensional reduction and by the holographic
correspondence between Vasiliev's higher-spin gravity and the critical O(N)
model, a bulk dual of the unitary and the ideal non-relativistic Fermi gases is
proposed.
|
[
{
"created": "Fri, 4 Nov 2011 10:07:24 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Apr 2012 09:39:45 GMT",
"version": "v2"
}
] |
2012-05-10
|
[
[
"Bekaert",
"Xavier",
""
],
[
"Meunier",
"Elisa",
""
],
[
"Moroz",
"Sergej",
""
]
] |
Inspired by the method of null dimensional reduction and by the holographic correspondence between Vasiliev's higher-spin gravity and the critical O(N) model, a bulk dual of the unitary and the ideal non-relativistic Fermi gases is proposed.
| 17.90049
| 10.909124
| 17.861111
| 12.173679
| 11.746565
| 12.384086
| 14.060024
| 10.97709
| 11.622829
| 17.117212
| 12.064307
| 13.682494
| 16.187298
| 14.105919
| 13.727551
| 13.093871
| 12.917005
| 13.312544
| 14.110689
| 15.986456
| 12.30014
|
1908.02758
|
Paul Romatschke
|
Paul Romatschke
|
Fractionalized Degrees of Freedom at Infinite Coupling in large Nf QED
in 2+1 dimensions
|
4 pages, no figures; v2: minor rewordings, typos corrected, matches
published version
|
Phys. Rev. Lett. 123, 241602 (2019)
|
10.1103/PhysRevLett.123.241602
| null |
hep-th cond-mat.str-el hep-lat nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
I consider quantum electrodynamics with many electrons in 2+1 space-time
dimensions at finite temperature. The relevant dimensionless interaction
parameter for this theory is the fine structure constant divided by the
temperature. The theory is solvable at any value of the coupling, in particular
for very weak (high temperature) and infinitely strong coupling (corresponding
to the zero temperature limit). Concentrating on the photon, each of its
physical degrees of freedom at infinite coupling only contributes half of the
free-theory value to the entropy. These fractional degrees of freedom are
reminiscent of what has been observed in other strongly coupled systems (such
as N=4 SYM), and bear similarity to the fractional Quantum Hall effect,
potentially suggesting connections between these phenomena. The results found
for QED3 are fully consistent with the expectations from particle-vortex
duality.
|
[
{
"created": "Wed, 7 Aug 2019 18:00:01 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Nov 2019 16:22:58 GMT",
"version": "v2"
}
] |
2019-12-18
|
[
[
"Romatschke",
"Paul",
""
]
] |
I consider quantum electrodynamics with many electrons in 2+1 space-time dimensions at finite temperature. The relevant dimensionless interaction parameter for this theory is the fine structure constant divided by the temperature. The theory is solvable at any value of the coupling, in particular for very weak (high temperature) and infinitely strong coupling (corresponding to the zero temperature limit). Concentrating on the photon, each of its physical degrees of freedom at infinite coupling only contributes half of the free-theory value to the entropy. These fractional degrees of freedom are reminiscent of what has been observed in other strongly coupled systems (such as N=4 SYM), and bear similarity to the fractional Quantum Hall effect, potentially suggesting connections between these phenomena. The results found for QED3 are fully consistent with the expectations from particle-vortex duality.
| 10.475074
| 10.287399
| 10.221248
| 9.653915
| 10.034464
| 9.673351
| 10.21223
| 10.098248
| 9.070283
| 10.640068
| 10.029352
| 9.721885
| 9.829681
| 9.37676
| 9.659046
| 9.768518
| 9.55261
| 9.4148
| 9.362365
| 9.555009
| 9.69361
|
hep-th/9209107
|
Christian Preitschopf
|
Martin Cederwall and Christian Preitschopf
|
Quaternionic Superconformal Field Theory
|
31 pages, phyzzx, G\"oteborg-ITP-92-40
|
Nucl.Phys.B403:238-264,1993
|
10.1016/0550-3213(93)90035-N
| null |
hep-th
| null |
We develop a superfield formalism for N=4 superconformal two-dimensional
field theory. A list is presented of minimal free superfields, i.e. of
multiplets containing four bosons and four fermions. We show that the
super-Poincar\'e algebra of the six-dimensional superstring in the light-cone
gauge is essentially equivalent to a local N=4 superconformal symmetry, and
outline the construction of octonionic superconformal field theory.
|
[
{
"created": "Sat, 26 Sep 1992 08:12:03 GMT",
"version": "v1"
}
] |
2009-02-23
|
[
[
"Cederwall",
"Martin",
""
],
[
"Preitschopf",
"Christian",
""
]
] |
We develop a superfield formalism for N=4 superconformal two-dimensional field theory. A list is presented of minimal free superfields, i.e. of multiplets containing four bosons and four fermions. We show that the super-Poincar\'e algebra of the six-dimensional superstring in the light-cone gauge is essentially equivalent to a local N=4 superconformal symmetry, and outline the construction of octonionic superconformal field theory.
| 8.165855
| 8.28786
| 8.49195
| 8.210141
| 8.329688
| 7.517188
| 7.930807
| 7.860083
| 7.232293
| 9.238598
| 7.630409
| 7.378297
| 7.924649
| 7.638179
| 7.547016
| 7.396861
| 7.78024
| 7.668612
| 7.394532
| 8.02459
| 7.5132
|
hep-th/9210125
|
Andreas Honecker
|
G. von Gehlen and A. Honecker
|
Multi-particle structure in the Z_n-chiral Potts models
|
22 pages (LaTeX) plus 5 figures (included as PostScript),
BONN-HE-92-32
|
J.Phys. A26 (1993) 1275-1298
|
10.1088/0305-4470/26/6/012
| null |
hep-th
| null |
We calculate the lowest translationally invariant levels of the Z_3- and
Z_4-symmetrical chiral Potts quantum chains, using numerical diagonalization of
the hamiltonian for N <= 12 and N <= 10 sites, respectively, and extrapolating
N to infinity. In the high-temperature massive phase we find that the pattern
of the low-lying zero momentum levels can be explained assuming the existence
of n-1 particles carrying Z_n-charges Q = 1, ... , n-1 (mass m_Q), and their
scattering states. In the superintegrable case the masses of the n-1 particles
become proportional to their respective charges: m_Q = Q m_1. Exponential
convergence in N is observed for the single particle gaps, while power
convergence is seen for the scattering levels. We also verify that
qualitatively the same pattern appears for the self-dual and integrable cases.
For general Z_n we show that the energy-momentum relations of the particles
show a parity non-conservation asymmetry which for very high temperatures is
exclusive due to the presence of a macroscopic momentum P_m=(1-2Q/n)/\phi,
where \phi is the chiral angle and Q is the Z_n-charge of the respective
particle.
|
[
{
"created": "Thu, 22 Oct 1992 19:51:05 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"von Gehlen",
"G.",
""
],
[
"Honecker",
"A.",
""
]
] |
We calculate the lowest translationally invariant levels of the Z_3- and Z_4-symmetrical chiral Potts quantum chains, using numerical diagonalization of the hamiltonian for N <= 12 and N <= 10 sites, respectively, and extrapolating N to infinity. In the high-temperature massive phase we find that the pattern of the low-lying zero momentum levels can be explained assuming the existence of n-1 particles carrying Z_n-charges Q = 1, ... , n-1 (mass m_Q), and their scattering states. In the superintegrable case the masses of the n-1 particles become proportional to their respective charges: m_Q = Q m_1. Exponential convergence in N is observed for the single particle gaps, while power convergence is seen for the scattering levels. We also verify that qualitatively the same pattern appears for the self-dual and integrable cases. For general Z_n we show that the energy-momentum relations of the particles show a parity non-conservation asymmetry which for very high temperatures is exclusive due to the presence of a macroscopic momentum P_m=(1-2Q/n)/\phi, where \phi is the chiral angle and Q is the Z_n-charge of the respective particle.
| 11.436027
| 12.698198
| 13.415359
| 11.241488
| 10.689873
| 10.728209
| 10.796984
| 10.37337
| 10.75681
| 14.823259
| 10.844863
| 11.270794
| 11.795222
| 11.036654
| 11.270272
| 10.948796
| 11.025311
| 11.027841
| 11.190012
| 12.038753
| 11.09586
|
hep-th/9906053
|
Andreas Gustavsson
|
Andreas Gustavsson and Mans Henningson
|
The light spectrum near the Argyres-Douglas point
|
7 pages. Latex
|
Phys.Lett. B463 (1999) 201-205
|
10.1016/S0370-2693(99)00935-1
|
Goteborg ITP 99-07
|
hep-th
| null |
We consider N = 2 super Yang-Mills theory with SU(2) gauge group and a single
quark hypermultiplet in the fundamental representation. For a specific value of
the quark bare mass and at a certain point in the moduli space of vacua, the
central charges corresponding to two mutually non-local electro-magnetic
charges vanish simultaneously, indicating the possibility of massless such
states in the spectrum. By realizing the theory as an M-theory configuration,
we show that these states indeed exist in the spectrum near the critical point.
|
[
{
"created": "Mon, 7 Jun 1999 13:53:25 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Gustavsson",
"Andreas",
""
],
[
"Henningson",
"Mans",
""
]
] |
We consider N = 2 super Yang-Mills theory with SU(2) gauge group and a single quark hypermultiplet in the fundamental representation. For a specific value of the quark bare mass and at a certain point in the moduli space of vacua, the central charges corresponding to two mutually non-local electro-magnetic charges vanish simultaneously, indicating the possibility of massless such states in the spectrum. By realizing the theory as an M-theory configuration, we show that these states indeed exist in the spectrum near the critical point.
| 6.4568
| 6.288682
| 7.023385
| 5.867861
| 6.682873
| 6.221366
| 6.058754
| 6.055839
| 5.96798
| 8.099828
| 5.956988
| 5.796902
| 6.703784
| 6.144954
| 6.184927
| 6.106404
| 6.004107
| 6.053792
| 6.188186
| 6.861098
| 5.972692
|
0803.4010
|
Adalto Gomes
|
M. M. Ferreira Jr. (UFMA), A.R. Gomes (CEFET-Ma)
|
Lorentz violating effects on a quantized two-level system
|
9 pages, 3 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work, we consider the effects of the Lorentz-violating (LV) term $
v_{\mu}\bar{\psi}\gamma ^{\mu}\psi $ belonging to the fermion sector of the
extended standard model on the dynamics of a quantum two-level system. We
examine how its non-relativistic counterpart, ${(\mathbf{p}-e \mathbf{A})\cdot
}\mathbf{v}/{m_{e},}$ affects the Rabi oscillations of a two-level atom coupled
with a quantum cavity electromagnetic field. Taking an initial coherent field
state in a resonant cavity, it was found that the LV background increases the
Rabi frequency and the time interval between collapses and revivals of the
population inversion function. It was found that initial field states with low
mean number of photons are better probes in order to establish more stringent
upper bounds on the background magnitude. In particular, for an initial vacuum
state in the cavity the upper limit $\text{v}_{x}<10^{-10}eV$ was attained.
|
[
{
"created": "Thu, 27 Mar 2008 22:47:26 GMT",
"version": "v1"
}
] |
2008-03-31
|
[
[
"Ferreira",
"M. M.",
"Jr.",
"UFMA"
],
[
"Gomes",
"A. R.",
"",
"CEFET-Ma"
]
] |
In this work, we consider the effects of the Lorentz-violating (LV) term $ v_{\mu}\bar{\psi}\gamma ^{\mu}\psi $ belonging to the fermion sector of the extended standard model on the dynamics of a quantum two-level system. We examine how its non-relativistic counterpart, ${(\mathbf{p}-e \mathbf{A})\cdot }\mathbf{v}/{m_{e},}$ affects the Rabi oscillations of a two-level atom coupled with a quantum cavity electromagnetic field. Taking an initial coherent field state in a resonant cavity, it was found that the LV background increases the Rabi frequency and the time interval between collapses and revivals of the population inversion function. It was found that initial field states with low mean number of photons are better probes in order to establish more stringent upper bounds on the background magnitude. In particular, for an initial vacuum state in the cavity the upper limit $\text{v}_{x}<10^{-10}eV$ was attained.
| 8.465748
| 8.957593
| 9.326578
| 7.760492
| 8.645754
| 8.892007
| 8.535441
| 8.273293
| 8.01462
| 8.963626
| 8.716162
| 7.984897
| 8.268533
| 7.909211
| 7.847943
| 7.992393
| 7.931306
| 7.933101
| 8.050786
| 8.375998
| 8.109215
|
2211.01397
|
Stefan Groot Nibbelink
|
A.E. Faraggi, S. Groot Nibbelink, M. Hurtado-Heredia
|
The fate of discrete torsion on resolved heterotic Z2xZ2 orbifolds using
(0,2) GLSMs
|
2+48 pages latex, references and some comments added
| null |
10.1016/j.nuclphysb.2023.116111
|
LTH-1318
|
hep-th hep-ph math-ph math.AG math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
This paper aims to shed light on what becomes of discrete torsion within
heterotic orbifolds when they are resolved to smooth geometries. Gauged Linear
Sigma Models (GLSMs) possessing (0,2) worldsheet supersymmetry are employed as
interpolations between them. This question is addressed for resolutions of the
non-compact C3/Z2xZ2 and the compact T6/Z2xZ2 orbifolds to keep track of local
and global aspects. The GLSMs associated with the non-compact orbifold with or
without torsion are to a large extent equivalent: only when expressed in the
same superfield basis, a field redefinition anomaly arises among them, which in
the orbifold limit reproduces the discrete torsion phases. Previously unknown,
novel resolution GLSMs for T6/Z2xZ2 are constructed. The GLSM associated with
the torsional compact orbifold suffers from mixed gauge anomalies, which need
to be cancelled by appropriate logarithmic superfield dependent FI-terms on the
worldsheet, signalling H-flux due to NS5-branes supported at the exceptional
cycles.
|
[
{
"created": "Wed, 2 Nov 2022 18:00:05 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Nov 2022 20:08:41 GMT",
"version": "v2"
}
] |
2023-09-21
|
[
[
"Faraggi",
"A. E.",
""
],
[
"Nibbelink",
"S. Groot",
""
],
[
"Hurtado-Heredia",
"M.",
""
]
] |
This paper aims to shed light on what becomes of discrete torsion within heterotic orbifolds when they are resolved to smooth geometries. Gauged Linear Sigma Models (GLSMs) possessing (0,2) worldsheet supersymmetry are employed as interpolations between them. This question is addressed for resolutions of the non-compact C3/Z2xZ2 and the compact T6/Z2xZ2 orbifolds to keep track of local and global aspects. The GLSMs associated with the non-compact orbifold with or without torsion are to a large extent equivalent: only when expressed in the same superfield basis, a field redefinition anomaly arises among them, which in the orbifold limit reproduces the discrete torsion phases. Previously unknown, novel resolution GLSMs for T6/Z2xZ2 are constructed. The GLSM associated with the torsional compact orbifold suffers from mixed gauge anomalies, which need to be cancelled by appropriate logarithmic superfield dependent FI-terms on the worldsheet, signalling H-flux due to NS5-branes supported at the exceptional cycles.
| 11.912184
| 12.145908
| 14.658631
| 11.747094
| 12.659122
| 12.825101
| 13.00454
| 12.142116
| 12.095955
| 14.309049
| 12.270935
| 11.499223
| 12.463885
| 11.561749
| 11.746469
| 11.753103
| 11.338036
| 11.881298
| 11.567115
| 12.220116
| 11.65884
|
hep-th/0608094
|
Dumitru Ghilencea
|
I. Antoniadis, E. Dudas, D.M. Ghilencea
|
Living with Ghosts and their Radiative Corrections
|
28 pages, 3 figures; added references
|
Nucl.Phys.B767:29-53,2007
|
10.1016/j.nuclphysb.2006.12.019
|
OUTP-0603P, CERN-PH-TH/2006-162
|
hep-th hep-ph
| null |
The role of higher derivative operators in 4D effective field theories is
discussed in both non-supersymmetric and supersymmetric contexts. The approach,
formulated in the Minkowski space-time, shows that theories with higher
derivative operators do not always have an improved UV behaviour, due to
subtleties related to the analytical continuation from the Minkowski to the
Euclidean metric. This continuation is further affected at the dynamical level
due to a field-dependence of the poles of the Green functions of the
particle-like states, for curvatures of the potential of order unity in ghost
mass units. The one-loop scalar potential in lambda*phi^4 theory with a single
higher derivative term is shown to have infinitely many counterterms, while for
a very large mass of the ghost the usual 4D renormalisation is recovered. In
the supersymmetric context of the O'Raifeartaigh model of spontaneous
supersymmetry breaking with a higher derivative (supersymmetric) operator, it
is found that quadratic divergences are present in the one-loop self-energy of
the scalar field. They arise with a coefficient proportional to the amount of
supersymmetry breaking and suppressed by the scale of the higher derivative
operator. This is also true in the Wess-Zumino model with higher derivatives
and explicit soft breaking of supersymmetry. In both models, the UV logarithmic
behaviour is restored in the decoupling limit of the ghost.
|
[
{
"created": "Mon, 14 Aug 2006 22:18:12 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Dec 2006 20:17:33 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Antoniadis",
"I.",
""
],
[
"Dudas",
"E.",
""
],
[
"Ghilencea",
"D. M.",
""
]
] |
The role of higher derivative operators in 4D effective field theories is discussed in both non-supersymmetric and supersymmetric contexts. The approach, formulated in the Minkowski space-time, shows that theories with higher derivative operators do not always have an improved UV behaviour, due to subtleties related to the analytical continuation from the Minkowski to the Euclidean metric. This continuation is further affected at the dynamical level due to a field-dependence of the poles of the Green functions of the particle-like states, for curvatures of the potential of order unity in ghost mass units. The one-loop scalar potential in lambda*phi^4 theory with a single higher derivative term is shown to have infinitely many counterterms, while for a very large mass of the ghost the usual 4D renormalisation is recovered. In the supersymmetric context of the O'Raifeartaigh model of spontaneous supersymmetry breaking with a higher derivative (supersymmetric) operator, it is found that quadratic divergences are present in the one-loop self-energy of the scalar field. They arise with a coefficient proportional to the amount of supersymmetry breaking and suppressed by the scale of the higher derivative operator. This is also true in the Wess-Zumino model with higher derivatives and explicit soft breaking of supersymmetry. In both models, the UV logarithmic behaviour is restored in the decoupling limit of the ghost.
| 8.156411
| 8.788733
| 8.200912
| 8.280479
| 8.695099
| 8.395922
| 8.730524
| 8.444456
| 8.292315
| 8.840867
| 8.54678
| 7.977833
| 7.867873
| 7.934936
| 8.129533
| 8.150455
| 7.989191
| 8.301051
| 7.695066
| 8.228825
| 8.142303
|
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