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2.01k
| perplexity_Llama-3.1-8B
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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1812.06985
|
Charles Rabideau
|
Vijay Balasubramanian and Charles Rabideau
|
The dual of non-extremal area: differential entropy in higher dimensions
|
44 pages, 1 figure
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Ryu-Takayanagi formula relates entanglement entropy in a field theory to
the area of extremal surfaces anchored to the boundary of a dual AdS space. It
is interesting to ask if there is also an information theoretic interpretation
of the areas of non-extremal surfaces that are not necessarily
boundary-anchored. In general, the physics outside such surfaces is associated
to observers restricted to a time-strip in the dual boundary field theory. When
the latter is two-dimensional, it is known that the differential entropy
associated to the strip computes the length of the dual bulk curve, and has an
interpretation in terms of the information cost in Bell pairs of restoring
correlations inaccessible to observers in the strip. A general realization of
this formalism in higher dimensions is unknown. We first prove a no-go theorem
eliminating candidate expressions for higher dimensional differential entropy
based on entropic c-theorems. Then we propose a new formula in terms of an
integral of shape derivatives of the entanglement entropy of ball shaped
regions. Our proposal stems from the physical requirement that differential
entropy must be locally finite and conformally invariant. Demanding
cancellation of the well-known UV divergences of entanglement entropy in field
theory guides us to our conjecture, which we test for surfaces in $AdS_4$. Our
results suggest a candidate c-function for field theories in arbitrary
dimensions.
|
[
{
"created": "Mon, 17 Dec 2018 19:00:02 GMT",
"version": "v1"
}
] |
2018-12-19
|
[
[
"Balasubramanian",
"Vijay",
""
],
[
"Rabideau",
"Charles",
""
]
] |
The Ryu-Takayanagi formula relates entanglement entropy in a field theory to the area of extremal surfaces anchored to the boundary of a dual AdS space. It is interesting to ask if there is also an information theoretic interpretation of the areas of non-extremal surfaces that are not necessarily boundary-anchored. In general, the physics outside such surfaces is associated to observers restricted to a time-strip in the dual boundary field theory. When the latter is two-dimensional, it is known that the differential entropy associated to the strip computes the length of the dual bulk curve, and has an interpretation in terms of the information cost in Bell pairs of restoring correlations inaccessible to observers in the strip. A general realization of this formalism in higher dimensions is unknown. We first prove a no-go theorem eliminating candidate expressions for higher dimensional differential entropy based on entropic c-theorems. Then we propose a new formula in terms of an integral of shape derivatives of the entanglement entropy of ball shaped regions. Our proposal stems from the physical requirement that differential entropy must be locally finite and conformally invariant. Demanding cancellation of the well-known UV divergences of entanglement entropy in field theory guides us to our conjecture, which we test for surfaces in $AdS_4$. Our results suggest a candidate c-function for field theories in arbitrary dimensions.
| 10.526126
| 11.118208
| 12.193071
| 10.154678
| 10.796456
| 10.693368
| 10.925333
| 10.507075
| 10.369298
| 12.990859
| 10.148512
| 10.583194
| 10.865659
| 10.385085
| 10.490907
| 10.913185
| 10.972914
| 10.713117
| 10.412891
| 10.846236
| 10.755762
|
1204.4760
|
Stanislaw D. Glazek
|
Stanislaw D. Glazek
|
Perturbative formulae for relativistic interactions of effective
particles
|
20 pages, 1 figure, Acta Phys. Pol. style
|
Acta. Phys. Pol. B 43, 1843-1862 (2012)
| null |
IFT/12/01
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The concept of effective particles as degrees of freedom in a relativistic
quantum field theory is defined using a non-perturbative renormalization group
procedure for Hamiltonians. However, every candidate for a basic physical
theory appears to require an initial perturbative search for the set of
interaction terms that may provide a basis with which the full effective theory
Hamiltonian could be constructed in a series of successive approximations. This
article describes the required perturbative expansion and illustrates it with a
set of general 4th-order formulae.
|
[
{
"created": "Fri, 20 Apr 2012 23:06:27 GMT",
"version": "v1"
}
] |
2013-01-30
|
[
[
"Glazek",
"Stanislaw D.",
""
]
] |
The concept of effective particles as degrees of freedom in a relativistic quantum field theory is defined using a non-perturbative renormalization group procedure for Hamiltonians. However, every candidate for a basic physical theory appears to require an initial perturbative search for the set of interaction terms that may provide a basis with which the full effective theory Hamiltonian could be constructed in a series of successive approximations. This article describes the required perturbative expansion and illustrates it with a set of general 4th-order formulae.
| 17.245251
| 16.49008
| 16.116407
| 15.327044
| 15.915143
| 15.953214
| 16.292959
| 16.99872
| 15.258646
| 17.058334
| 16.074617
| 16.079681
| 16.444532
| 15.681608
| 16.455044
| 16.243757
| 16.727196
| 16.550636
| 15.733889
| 16.253153
| 16.577148
|
1503.03080
|
Nathan Berkovits
|
Nathan Berkovits (IFT-UNESP/ICTP-SAIFR, Sao Paulo)
|
Origin of the Pure Spinor and Green-Schwarz Formalisms
|
Added footnote 3 on reparameterization invariance, corrected minor
error in footnote 4
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The pure spinor formalism for the superstring was recently obtained by
gauge-fixing a purely bosonic classical action involving a twistor-like
constraint $\partial x^m (\gamma_m\lambda)_\alpha =0$ where $\lambda^\alpha$ is
a d=10 pure spinor. This twistor-like constraint replaces the usual Virasoro
constraint $\partial x^m \partial x_m =0$, and the Green-Schwarz fermionic
spacetime spinor variables $\theta^\alpha$ arise as Faddeev-Popov ghosts for
this constraint.
In this paper, the purely bosonic classical action is simplified by replacing
the classical d=10 pure spinor $\lambda^\alpha$ with a d=10 projective pure
spinor. The pure spinor and Green-Schwarz formalisms for the superparticle and
superstring are then obtained as different gauge-fixings of this purely bosonic
classical action, and the Green-Schwarz kappa symmetry is directly related to
the pure spinor BRST symmetry. Since a d=10 projective pure spinor
parameterizes ${{SO(10)}\over{U(5)}}$, this action can be interpreted as a
standard $\hat c=5$ topological action where one integrates over the
${{SO(10)}\over{U(5)}}$ choice of complex structure. Finally, a purely bosonic
action for the d=11 supermembrane is proposed which reduces upon
double-dimensional reduction to the purely bosonic action for the d=10 Type IIA
superstring.
|
[
{
"created": "Tue, 10 Mar 2015 20:04:16 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Mar 2015 10:00:28 GMT",
"version": "v2"
},
{
"created": "Thu, 19 Nov 2015 11:53:04 GMT",
"version": "v3"
}
] |
2015-11-20
|
[
[
"Berkovits",
"Nathan",
"",
"IFT-UNESP/ICTP-SAIFR, Sao Paulo"
]
] |
The pure spinor formalism for the superstring was recently obtained by gauge-fixing a purely bosonic classical action involving a twistor-like constraint $\partial x^m (\gamma_m\lambda)_\alpha =0$ where $\lambda^\alpha$ is a d=10 pure spinor. This twistor-like constraint replaces the usual Virasoro constraint $\partial x^m \partial x_m =0$, and the Green-Schwarz fermionic spacetime spinor variables $\theta^\alpha$ arise as Faddeev-Popov ghosts for this constraint. In this paper, the purely bosonic classical action is simplified by replacing the classical d=10 pure spinor $\lambda^\alpha$ with a d=10 projective pure spinor. The pure spinor and Green-Schwarz formalisms for the superparticle and superstring are then obtained as different gauge-fixings of this purely bosonic classical action, and the Green-Schwarz kappa symmetry is directly related to the pure spinor BRST symmetry. Since a d=10 projective pure spinor parameterizes ${{SO(10)}\over{U(5)}}$, this action can be interpreted as a standard $\hat c=5$ topological action where one integrates over the ${{SO(10)}\over{U(5)}}$ choice of complex structure. Finally, a purely bosonic action for the d=11 supermembrane is proposed which reduces upon double-dimensional reduction to the purely bosonic action for the d=10 Type IIA superstring.
| 5.452539
| 4.89621
| 6.068441
| 4.856611
| 5.16415
| 5.073772
| 5.313611
| 5.097831
| 4.966662
| 6.225055
| 4.962146
| 5.11216
| 5.3903
| 5.248542
| 5.25003
| 5.213827
| 5.288736
| 5.130234
| 5.194726
| 5.259585
| 5.288316
|
1712.06652
|
Sergei Aleshin
|
S. S. Aleshin
|
NSVZ relation and the dimensional reduction in ${\cal N}=1$ SQED
|
4 pages, contribution to the Proceedings of the International
Workshop "Supersymmetries and Quantum Symmetries" (SQS'2017, 31 July - 5
August, 2017)
| null |
10.1134/S1063779618050027
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is known that factorization of the $\beta$-function loop integrals into
integrals of double total derivatives is an important ingredient needed for
deriving the NSVZ relation by direct perturbative calculations in ${\cal N}=1$
SQED regularized by the higher derivatives. It allows to relate the
$\beta$-function and the anomalous dimension of the matter superfields defined
in terms of the bare coupling constant. In this work we find the analog of this
result in the case of using dimensional reduction regularization in the lowest
orders. However, we demonstrate that in this case the NSVZ relation is not
satisfied for the RG functions defined in terms of the bare coupling constant.
Nevertheless, it is possible to impose boundary conditions to the
renormalization constants determining the NSVZ scheme in the three-loop order
for the RG functions defined in terms of the renormalized coupling constant.
|
[
{
"created": "Mon, 18 Dec 2017 19:54:20 GMT",
"version": "v1"
}
] |
2018-11-14
|
[
[
"Aleshin",
"S. S.",
""
]
] |
It is known that factorization of the $\beta$-function loop integrals into integrals of double total derivatives is an important ingredient needed for deriving the NSVZ relation by direct perturbative calculations in ${\cal N}=1$ SQED regularized by the higher derivatives. It allows to relate the $\beta$-function and the anomalous dimension of the matter superfields defined in terms of the bare coupling constant. In this work we find the analog of this result in the case of using dimensional reduction regularization in the lowest orders. However, we demonstrate that in this case the NSVZ relation is not satisfied for the RG functions defined in terms of the bare coupling constant. Nevertheless, it is possible to impose boundary conditions to the renormalization constants determining the NSVZ scheme in the three-loop order for the RG functions defined in terms of the renormalized coupling constant.
| 6.896097
| 5.221651
| 7.403557
| 5.623295
| 5.706093
| 5.347937
| 5.333018
| 4.966426
| 5.552834
| 7.97376
| 5.741809
| 6.203241
| 6.993322
| 6.291062
| 6.197512
| 6.004584
| 6.195463
| 6.122524
| 6.302987
| 6.877137
| 6.24516
|
hep-th/0606033
|
Fang Wei
|
Wei Fang, H.Q.Lu, Z.G.Huang
|
Cosmology in Nonlinear Born-Infeld Scalar Field Theory With Negative
Potentials
|
18 pages, 18 figures, some references added, revised version for
Int.J.Mod.Phys.A, appeared in Int.J.Mod.Phys.A
|
Int.J.Mod.Phys.A22:2173-2195,2007
|
10.1142/S0217751X07036750
| null |
hep-th astro-ph gr-qc
| null |
The cosmological evolution in Nonlinear Born-Infeld(hereafter NLBI) scalar
field theory with negative potentials was investigated. The cosmological
solutions in some important evolutive epoches were obtained. The different
evolutional behaviors between NLBI and linear(canonical) scalar field theory
have been presented. A notable characteristic is that NLBI scalar field behaves
as ordinary matter nearly the singularity while the linear scalar field behaves
as "stiff" matter. We find that in order to accommodate current observational
accelerating expanding universe the value of potential parameters $|m|$ and
$|V_0|$ must have an {\it upper bound}. We compare different cosmological
evolutions for different potential parameters $m, V_0$.
|
[
{
"created": "Mon, 5 Jun 2006 11:52:49 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Jul 2006 22:41:35 GMT",
"version": "v2"
},
{
"created": "Tue, 5 Sep 2006 13:03:58 GMT",
"version": "v3"
},
{
"created": "Mon, 30 Apr 2007 07:25:09 GMT",
"version": "v4"
}
] |
2008-11-26
|
[
[
"Fang",
"Wei",
""
],
[
"Lu",
"H. Q.",
""
],
[
"Huang",
"Z. G.",
""
]
] |
The cosmological evolution in Nonlinear Born-Infeld(hereafter NLBI) scalar field theory with negative potentials was investigated. The cosmological solutions in some important evolutive epoches were obtained. The different evolutional behaviors between NLBI and linear(canonical) scalar field theory have been presented. A notable characteristic is that NLBI scalar field behaves as ordinary matter nearly the singularity while the linear scalar field behaves as "stiff" matter. We find that in order to accommodate current observational accelerating expanding universe the value of potential parameters $|m|$ and $|V_0|$ must have an {\it upper bound}. We compare different cosmological evolutions for different potential parameters $m, V_0$.
| 14.526227
| 14.798213
| 14.465528
| 13.199377
| 14.021681
| 14.24472
| 15.735023
| 13.108684
| 13.852235
| 14.167427
| 13.010653
| 13.69173
| 13.417656
| 12.689799
| 13.557088
| 13.426883
| 13.255529
| 13.488917
| 13.194469
| 13.503587
| 13.335584
|
hep-th/9701179
|
Fedele Lizzi
|
H. Figueroa, J. M. Gracia-Bondia, F. Lizzi and J. C. Varilly
|
A nonperturbative form of the spectral action principle in
noncommutative geometry
|
12 pages. LaTeX2e, instructions for obsolete LaTeX's
|
J.Geom.Phys.26:329-339,1998
|
10.1016/S0393-0440(97)00062-4
|
CPT-97/P.3453; DFTUZ/97/03; DSF-8/97; OUTP-97-05P; UCR-FM-10-97
|
hep-th gr-qc math-ph math.MP math.QA q-alg
| null |
Using the formalism of superconnections, we show the existence of a bosonic
action functional for the standard K-cycle in noncommutative geometry, giving
rise, through the spectral action principle, only to the Einstein gravity and
Standard Model Yang-Mills-Higgs terms. It provides an effective nonminimal
coupling in the bosonic sector of the Lagrangian.
|
[
{
"created": "Thu, 30 Jan 1997 10:29:37 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Figueroa",
"H.",
""
],
[
"Gracia-Bondia",
"J. M.",
""
],
[
"Lizzi",
"F.",
""
],
[
"Varilly",
"J. C.",
""
]
] |
Using the formalism of superconnections, we show the existence of a bosonic action functional for the standard K-cycle in noncommutative geometry, giving rise, through the spectral action principle, only to the Einstein gravity and Standard Model Yang-Mills-Higgs terms. It provides an effective nonminimal coupling in the bosonic sector of the Lagrangian.
| 14.736974
| 13.268857
| 14.069463
| 12.912454
| 11.792567
| 11.922853
| 11.92726
| 12.265789
| 12.900905
| 15.254627
| 12.473309
| 12.893919
| 14.125029
| 13.350753
| 12.92015
| 13.580889
| 12.859966
| 13.249997
| 12.853245
| 14.243381
| 13.537519
|
2112.08900
|
William J. Torres Bobadilla Dr.
|
Johannes M. Henn, William J. Torres Bobadilla
|
Maximal transcendental weight contribution of scattering amplitudes
|
28 pages, 6 figures
| null |
10.1007/JHEP03(2022)174
|
MPP-2021-209
|
hep-th hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
Feynman integrals in quantum field theory evaluate to special functions and
numbers that are usefully described by the notion of transcendental weight. In
this paper, we propose a way of projecting a given dimensionally-regularised
Feynman integral, for example contributing to a scattering amplitudes, onto its
maximal weight part. The method uses insights into the singularity structure of
space-time loop integrands, and is complementary to usual generalised unitarity
approaches. We describe the method and give a proof-of-principle application to
the two-loop scattering amplitudes $gg \to H$ in the heavy top-quark mass
limit, which involves both planar and non-planar Feynman integrals. We also
comment on further possible applications and discuss subtleties related to
evanescent integrand terms.
|
[
{
"created": "Thu, 16 Dec 2021 14:20:03 GMT",
"version": "v1"
}
] |
2022-04-13
|
[
[
"Henn",
"Johannes M.",
""
],
[
"Bobadilla",
"William J. Torres",
""
]
] |
Feynman integrals in quantum field theory evaluate to special functions and numbers that are usefully described by the notion of transcendental weight. In this paper, we propose a way of projecting a given dimensionally-regularised Feynman integral, for example contributing to a scattering amplitudes, onto its maximal weight part. The method uses insights into the singularity structure of space-time loop integrands, and is complementary to usual generalised unitarity approaches. We describe the method and give a proof-of-principle application to the two-loop scattering amplitudes $gg \to H$ in the heavy top-quark mass limit, which involves both planar and non-planar Feynman integrals. We also comment on further possible applications and discuss subtleties related to evanescent integrand terms.
| 8.837939
| 8.301645
| 8.496634
| 7.531603
| 8.577893
| 8.713879
| 9.082848
| 8.297408
| 7.117624
| 9.521403
| 8.25637
| 8.011336
| 7.755511
| 7.64109
| 7.97034
| 7.89774
| 7.82186
| 7.844316
| 7.860079
| 7.906901
| 7.927227
|
hep-th/0005113
|
Shesansu Sekhar Pal
|
J.Maharana and S.S.Pal
|
Noncommutative Open strings, D-brane and Duality
|
Latex and 8pages,The discussion section is expanded, relation with
Seiberg-Witten map is included. New references added
|
Phys.Lett. B488 (2000) 410-416
|
10.1016/S0370-2693(00)00892-3
| null |
hep-th
| null |
We consider open strings ending on D-branes in the presence of constant
metric, G, antisymmetric tensor, B and gauge field, A. The Hamiltonian is
manifestly invariant under a global noncompact group; strikingly similar to
toroidally compactified closed string Hamiltonian. The evolution equations for
the string coordinates, $\{X^i \}$ and their dual partners, $\{Y_i \}$, are
combined to obtain equations of motion invariant under the noncompact symmetry
transformations. We show that one can start from a noncommutative theory, with
nonvanishing G and B and mixed boundary conditions and then go over to a dual
theory whose coordinates obey Dirichlet boundary conditions. It is possible to
generate B-field by implementing the noncompact symmetry transformation. The
connection between this duality transformation and Seiberg-Witten map is
discussed.
|
[
{
"created": "Fri, 12 May 2000 10:54:31 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Jul 2000 14:05:27 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Maharana",
"J.",
""
],
[
"Pal",
"S. S.",
""
]
] |
We consider open strings ending on D-branes in the presence of constant metric, G, antisymmetric tensor, B and gauge field, A. The Hamiltonian is manifestly invariant under a global noncompact group; strikingly similar to toroidally compactified closed string Hamiltonian. The evolution equations for the string coordinates, $\{X^i \}$ and their dual partners, $\{Y_i \}$, are combined to obtain equations of motion invariant under the noncompact symmetry transformations. We show that one can start from a noncommutative theory, with nonvanishing G and B and mixed boundary conditions and then go over to a dual theory whose coordinates obey Dirichlet boundary conditions. It is possible to generate B-field by implementing the noncompact symmetry transformation. The connection between this duality transformation and Seiberg-Witten map is discussed.
| 10.358774
| 9.810246
| 11.516853
| 9.45982
| 9.951471
| 9.484782
| 9.83854
| 9.587251
| 9.249323
| 11.108987
| 9.471576
| 9.344226
| 10.244131
| 9.519317
| 9.644731
| 9.738694
| 9.04509
| 9.609859
| 9.61135
| 9.766562
| 9.371009
|
hep-th/9912069
|
Victor O. Rivelles
|
Victor O. Rivelles
|
Gauge Theoretic Formulation of Dilatonic Gravity Coupled to Particles
|
4 pages. Talk given at QG99 Meeting, Sardinia, September 1999. Uses
espcrc2.sty (twocolumn)
|
Nucl.Phys.Proc.Suppl. 88 (2000) 245-248
|
10.1016/S0920-5632(00)00777-5
| null |
hep-th gr-qc
| null |
We discuss the formulation of the CGHS model in terms of a topological BF
theory coupled to particles carrying non-Abelian charge.
|
[
{
"created": "Wed, 8 Dec 1999 14:56:57 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Rivelles",
"Victor O.",
""
]
] |
We discuss the formulation of the CGHS model in terms of a topological BF theory coupled to particles carrying non-Abelian charge.
| 13.949627
| 8.090859
| 11.818099
| 8.60401
| 8.649
| 8.144656
| 7.729828
| 9.131263
| 9.353745
| 13.743492
| 9.206836
| 10.657012
| 12.640299
| 11.37312
| 11.39313
| 10.351506
| 10.829273
| 10.682866
| 11.312708
| 12.304733
| 10.03182
|
hep-th/9905076
|
Carmelo Perez Martin
|
C.P. Martin and D. Sanchez-Ruiz (Universidad Complutense de Madrid)
|
Action principles, restoration of BRS symmetry and the renormalization
group equation for chiral non-Abelian gauge theories in dimensional
renormalization with a non-anticommuting $\gamma_5$
|
86 pages, 14 figures, one table, plane tex
|
Nucl.Phys. B572 (2000) 387-477
|
10.1016/S0550-3213(99)00453-8
|
FT/UCM-20-99
|
hep-th hep-ph
| null |
The one-loop renormalization of a general chiral gauge theory without scalar
and Majorana fields is fully worked out within Breitenlohner and Maison
dimensional renormalization scheme. The coefficients of the anomalous terms
introduced in the Slavnov-Taylor equations by the minimal subtraction algorithm
are calculated and the asymmetric counterterms needed to restore the BRS
symmetry, if the anomaly cancellation conditions are met, are computed. The
renormalization group equation and its coefficients are worked out in the
anomaly free case. The computations draw heavily from the existence of action
principles and BRS cohomology theory.
|
[
{
"created": "Tue, 11 May 1999 19:52:14 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Martin",
"C. P.",
"",
"Universidad Complutense de Madrid"
],
[
"Sanchez-Ruiz",
"D.",
"",
"Universidad Complutense de Madrid"
]
] |
The one-loop renormalization of a general chiral gauge theory without scalar and Majorana fields is fully worked out within Breitenlohner and Maison dimensional renormalization scheme. The coefficients of the anomalous terms introduced in the Slavnov-Taylor equations by the minimal subtraction algorithm are calculated and the asymmetric counterterms needed to restore the BRS symmetry, if the anomaly cancellation conditions are met, are computed. The renormalization group equation and its coefficients are worked out in the anomaly free case. The computations draw heavily from the existence of action principles and BRS cohomology theory.
| 14.602743
| 12.734811
| 14.984974
| 12.855194
| 12.801899
| 12.015789
| 12.358988
| 13.382711
| 12.25472
| 15.444949
| 14.668121
| 13.684381
| 14.724914
| 13.968015
| 13.865746
| 13.646852
| 13.592373
| 13.673562
| 13.408117
| 14.470209
| 13.330826
|
hep-th/0111195
|
Marco Moriconi
|
M. Moriconi
|
Integrable Boundary Conditions for the O(N) Nonlinear $\sigma$ Model
|
9 pages. To appear in the proceedings of the NATO Advanced Research
Workshop on "Statistical Field Theories", Como, Italy, 18-23 June 2001. v2:
typos corrected
| null | null | null |
hep-th
| null |
We discuss the new integrable boundary conditions for the O(N) nonlinear
$\sigma$ model and related solutions of the boundary Yang-Baxter equation,
which were presented in our previous paper hep-th/0108039.
|
[
{
"created": "Wed, 21 Nov 2001 20:59:04 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Nov 2001 17:00:27 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Moriconi",
"M.",
""
]
] |
We discuss the new integrable boundary conditions for the O(N) nonlinear $\sigma$ model and related solutions of the boundary Yang-Baxter equation, which were presented in our previous paper hep-th/0108039.
| 9.762225
| 6.311868
| 8.309603
| 6.565669
| 7.203457
| 6.90406
| 6.563646
| 6.816409
| 6.505257
| 9.800954
| 6.340876
| 7.194407
| 9.830643
| 7.155348
| 7.482736
| 7.50505
| 7.651076
| 6.787278
| 7.149147
| 8.935759
| 6.936492
|
hep-th/9302097
| null |
Christian Grosche
|
An Introduction into the Feynman Path Integral
|
92 pages, amstex, Leipzig University preprint NTZ Nr.29/92
| null | null | null |
hep-th
| null |
In this lecture a short introduction is given into the theory of the Feynman
path integral in quantum mechanics. The general formulation in Riemann spaces
will be given based on the Weyl- ordering prescription, respectively product
ordering prescription, in the quantum Hamiltonian. Also, the theory of
space-time transformations and separation of variables will be outlined. As
elementary examples I discuss the usual harmonic oscillator, the radial
harmonic oscillator, and the Coulomb potential. Lecture given at the graduate
college ''Quantenfeldtheorie und deren Anwendung in der Elementarteilchen- und
Festk\"orperphysik'', Universit\"at Leipzig, 16-26 November 1992.
|
[
{
"created": "Sat, 20 Feb 1993 14:14:00 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Grosche",
"Christian",
""
]
] |
In this lecture a short introduction is given into the theory of the Feynman path integral in quantum mechanics. The general formulation in Riemann spaces will be given based on the Weyl- ordering prescription, respectively product ordering prescription, in the quantum Hamiltonian. Also, the theory of space-time transformations and separation of variables will be outlined. As elementary examples I discuss the usual harmonic oscillator, the radial harmonic oscillator, and the Coulomb potential. Lecture given at the graduate college ''Quantenfeldtheorie und deren Anwendung in der Elementarteilchen- und Festk\"orperphysik'', Universit\"at Leipzig, 16-26 November 1992.
| 8.501997
| 10.459881
| 9.662573
| 9.052249
| 9.399028
| 9.509954
| 9.417444
| 9.409122
| 8.728536
| 9.937777
| 8.713777
| 8.350136
| 8.433237
| 8.256676
| 7.78819
| 8.273795
| 8.055737
| 8.278049
| 8.109898
| 8.248038
| 7.94344
|
hep-th/9508103
| null |
S. G. Rajeev and O. T. Turgut (University of Rochester, Rochester, NY)
|
Poisson Algebra of Wilson Loops and Derivations of Free Algebras
|
20 pages, no special macros necessary
|
J.Math.Phys. 37 (1996) 637-649
|
10.1063/1.531433
| null |
hep-th
| null |
We describe a finite analogue of the Poisson algebra of Wilson loops in
Yang-Mills theory. It is shown that this algebra arises in an apparently
completely different context; as a Lie algebra of vector fields on a
non-commutative space. This suggests that non-commutative geometry plays a
fundamental role in the manifestly gauge invariant formulation of Yang-Mills
theory. We also construct the deformation of the loop algebra induced by
quantization, in the large N_c limit.
|
[
{
"created": "Tue, 22 Aug 1995 04:31:26 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Rajeev",
"S. G.",
"",
"University of Rochester, Rochester, NY"
],
[
"Turgut",
"O. T.",
"",
"University of Rochester, Rochester, NY"
]
] |
We describe a finite analogue of the Poisson algebra of Wilson loops in Yang-Mills theory. It is shown that this algebra arises in an apparently completely different context; as a Lie algebra of vector fields on a non-commutative space. This suggests that non-commutative geometry plays a fundamental role in the manifestly gauge invariant formulation of Yang-Mills theory. We also construct the deformation of the loop algebra induced by quantization, in the large N_c limit.
| 8.013626
| 7.004128
| 7.587022
| 6.939324
| 7.480102
| 7.657431
| 7.346074
| 6.54254
| 7.31184
| 7.284082
| 7.05163
| 6.804207
| 7.555705
| 7.192873
| 7.004107
| 7.061201
| 7.26831
| 6.953923
| 7.187336
| 7.218644
| 6.921415
|
2012.07050
|
Dine Ousmane Samary
|
Vincent Lahoche, Mohamed Ouerfelli, Dine Ousmane Samary and Mohamed
Tamaazousti
|
Field theoretical approach for signal detection in nearly continuous
positive spectra II: Tensorial data
|
12 pages, 6 figures
| null |
10.3390/e23070795
| null |
hep-th cond-mat.dis-nn
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The tensorial principal component analysis is a generalization of ordinary
principal component analysis, focusing on data which are suitably described by
tensors rather than matrices. This paper aims at giving the nonperturbative
renormalization group formalism based on a slight generalization of the
covariance matrix, to investigate signal detection for the difficult issue of
nearly continuous spectra. Renormalization group allows constructing effective
description keeping only relevant features in the low ``energy'' (i.e. large
eigenvalues) limit and thus provides universal descriptions allowing to
associate the presence of the signal with objectives and computable quantities.
Among them, in this paper, we focus on the vacuum expectation value. We exhibit
experimental evidence in favor of a connection between symmetry breaking and
the existence of an intrinsic detection threshold, in agreement with our
conclusions for matrices, providing a new step in the direction of a universal
statement.
|
[
{
"created": "Sun, 13 Dec 2020 12:47:24 GMT",
"version": "v1"
},
{
"created": "Sun, 20 Jun 2021 23:29:00 GMT",
"version": "v2"
},
{
"created": "Wed, 3 Nov 2021 10:29:43 GMT",
"version": "v3"
}
] |
2021-11-04
|
[
[
"Lahoche",
"Vincent",
""
],
[
"Ouerfelli",
"Mohamed",
""
],
[
"Samary",
"Dine Ousmane",
""
],
[
"Tamaazousti",
"Mohamed",
""
]
] |
The tensorial principal component analysis is a generalization of ordinary principal component analysis, focusing on data which are suitably described by tensors rather than matrices. This paper aims at giving the nonperturbative renormalization group formalism based on a slight generalization of the covariance matrix, to investigate signal detection for the difficult issue of nearly continuous spectra. Renormalization group allows constructing effective description keeping only relevant features in the low ``energy'' (i.e. large eigenvalues) limit and thus provides universal descriptions allowing to associate the presence of the signal with objectives and computable quantities. Among them, in this paper, we focus on the vacuum expectation value. We exhibit experimental evidence in favor of a connection between symmetry breaking and the existence of an intrinsic detection threshold, in agreement with our conclusions for matrices, providing a new step in the direction of a universal statement.
| 23.780291
| 23.448261
| 26.475861
| 23.248182
| 23.602522
| 24.971092
| 25.239916
| 21.678452
| 22.925753
| 29.877151
| 23.053089
| 23.624378
| 25.270107
| 23.16404
| 23.030231
| 23.222382
| 22.232332
| 23.248852
| 22.461428
| 24.690159
| 22.514425
|
0807.2571
|
Michael Thies
|
Christian Boehmer, Ulf Fritsch, Sebastian Kraus, Michael Thies
|
Phase structure of the massive chiral Gross-Neveu model from
Hartree-Fock
|
12 pages, 16 figures
|
Phys.Rev.D78:065043,2008
|
10.1103/PhysRevD.78.065043
|
FAU-TP3-08/05
|
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The phase diagram of the massive chiral Gross-Neveu model (the massive
Nambu-Jona-Lasinio model in 1+1 dimensions) is constructed. In the large N
limit, the Hartree-Fock approach can be used. We find numerically a chiral
crystal phase separated from a massive Fermi gas phase by a 1st order
transition. Using perturbation theory, we also construct the critical sheet
where the homogeneous phase becomes unstable in a 2nd order transition. A
tricritical curve is located. The phase diagram is mapped out as a function of
fermion mass, chemical potential and temperature and compared with the one of
the discrete chiral Gross-Neveu model. As a by-product, we illustrate the
crystal structure of matter at zero temperature for various densities and
fermion masses.
|
[
{
"created": "Wed, 16 Jul 2008 13:43:11 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Boehmer",
"Christian",
""
],
[
"Fritsch",
"Ulf",
""
],
[
"Kraus",
"Sebastian",
""
],
[
"Thies",
"Michael",
""
]
] |
The phase diagram of the massive chiral Gross-Neveu model (the massive Nambu-Jona-Lasinio model in 1+1 dimensions) is constructed. In the large N limit, the Hartree-Fock approach can be used. We find numerically a chiral crystal phase separated from a massive Fermi gas phase by a 1st order transition. Using perturbation theory, we also construct the critical sheet where the homogeneous phase becomes unstable in a 2nd order transition. A tricritical curve is located. The phase diagram is mapped out as a function of fermion mass, chemical potential and temperature and compared with the one of the discrete chiral Gross-Neveu model. As a by-product, we illustrate the crystal structure of matter at zero temperature for various densities and fermion masses.
| 7.498054
| 6.78861
| 7.592406
| 7.185697
| 6.933898
| 7.074702
| 7.099518
| 7.133669
| 6.798868
| 7.953971
| 6.604885
| 7.217703
| 7.268709
| 7.038555
| 7.155097
| 7.247181
| 7.155654
| 7.1069
| 7.124265
| 7.409358
| 7.199307
|
1211.4542
|
Carlos A. S. Almeida
|
Victor Santos and C. A. S. Almeida
|
On Gravity localization under Lorentz Violation in warped scenario
|
13 pages, 2 figures. To appear in Physics Letters B
|
Phys. Lett. B 718 (2013) 1114-1118
|
10.1016/j.physletb.2012.11.045
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently Rizzo studied the Lorentz Invariance Violation (LIV) in a brane
scenario with one extra dimension where he found a non-zero mass for the
four-dimensional graviton. This leads to the conclusion that five-dimensional
models with LIV are not phenomenologically viable. In this work we re-examine
the issue of Lorentz Invariance Violation in the context of higher dimensional
theories. We show that a six-dimensional geometry describing a string-like
defect with a bulk-dependent cosmological constant can yield a massless 4D
graviton, if we allow the cosmological constant variation along the bulk, and
thus can provides a phenomenologically viable solution for the gauge hierarchy
problem.
|
[
{
"created": "Mon, 19 Nov 2012 19:40:02 GMT",
"version": "v1"
}
] |
2012-12-21
|
[
[
"Santos",
"Victor",
""
],
[
"Almeida",
"C. A. S.",
""
]
] |
Recently Rizzo studied the Lorentz Invariance Violation (LIV) in a brane scenario with one extra dimension where he found a non-zero mass for the four-dimensional graviton. This leads to the conclusion that five-dimensional models with LIV are not phenomenologically viable. In this work we re-examine the issue of Lorentz Invariance Violation in the context of higher dimensional theories. We show that a six-dimensional geometry describing a string-like defect with a bulk-dependent cosmological constant can yield a massless 4D graviton, if we allow the cosmological constant variation along the bulk, and thus can provides a phenomenologically viable solution for the gauge hierarchy problem.
| 9.311146
| 8.337654
| 8.267919
| 8.091102
| 8.389801
| 8.796309
| 8.759022
| 8.192944
| 7.867249
| 9.626826
| 8.283875
| 8.293301
| 8.32814
| 8.198531
| 8.061566
| 7.91438
| 8.025396
| 8.042686
| 8.245131
| 8.471413
| 8.133605
|
hep-th/0409296
|
Arkady Tseytlin
|
A.A. Tseytlin
|
Semiclassical strings and AdS/CFT
|
34 pages. Contribution to Proceedings of Cargese Summer School, June
7-19, 2004, extended version of hep-th/0407218
| null | null | null |
hep-th
| null |
We discuss AdS/CFT duality in the sector of ``semiclassical'' string states
with large quantum numbers. We review the coherent-state effective action
approach, in which similar 2d sigma model actions appear from the AdS_5 x S^5
string action and from the integrable spin chain Hamiltonian representing the
N=4 super Yang-Mills dilatation operator. We consider mostly the leading-order
terms in the energies/anomalous dimensions which match but comment also on
higher-order corrections.
|
[
{
"created": "Wed, 29 Sep 2004 02:28:27 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Tseytlin",
"A. A.",
""
]
] |
We discuss AdS/CFT duality in the sector of ``semiclassical'' string states with large quantum numbers. We review the coherent-state effective action approach, in which similar 2d sigma model actions appear from the AdS_5 x S^5 string action and from the integrable spin chain Hamiltonian representing the N=4 super Yang-Mills dilatation operator. We consider mostly the leading-order terms in the energies/anomalous dimensions which match but comment also on higher-order corrections.
| 12.975404
| 10.345123
| 15.266644
| 10.596143
| 11.286049
| 11.654949
| 11.327723
| 10.362796
| 10.839722
| 14.249389
| 11.035379
| 11.487088
| 12.917423
| 11.033145
| 11.515958
| 12.005068
| 11.509686
| 11.164244
| 11.670705
| 12.466364
| 11.231314
|
1604.03669
|
Brett McInnes
|
Brett McInnes
|
A Rotation/Magnetism Analogy for the Quark-Gluon Plasma
|
Various clarifications, included brief discussion of finite size
effects, 21 pages, 4 figures; version to appear in Nuclear Physics B
| null |
10.1016/j.nuclphysb.2016.08.001
| null |
hep-th hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In peripheral heavy ion collisions, the Quark-Gluon Plasma that may be formed
often has a large angular momentum per unit energy. This angular momentum may
take the form of (local) rotation. In many physical systems, rotation can have
effects analogous to those produced by a magnetic field; thus, there is a risk
that the effects of local rotation in the QGP might be mistaken for those of
the large genuine magnetic fields which are also known to arise in these
systems. Here we use the gauge-gravity duality to investigate this, and we find
indeed that, with realistic parameter values, local rotation has effects on the
QGP (at high values of the baryonic chemical potential) which are not only of
the same kind as those produced by magnetic fields, but which can in fact be
substantially larger. Furthermore, the combined effect of rotation and
magnetism is to change the shape of the main quark matter phase transition line
in an interesting way, reducing the magnitude of its curvature; again, local
rotation contributes to this phenomenon at least as strongly as magnetism.
|
[
{
"created": "Wed, 13 Apr 2016 06:44:38 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Aug 2016 01:02:06 GMT",
"version": "v2"
}
] |
2016-09-21
|
[
[
"McInnes",
"Brett",
""
]
] |
In peripheral heavy ion collisions, the Quark-Gluon Plasma that may be formed often has a large angular momentum per unit energy. This angular momentum may take the form of (local) rotation. In many physical systems, rotation can have effects analogous to those produced by a magnetic field; thus, there is a risk that the effects of local rotation in the QGP might be mistaken for those of the large genuine magnetic fields which are also known to arise in these systems. Here we use the gauge-gravity duality to investigate this, and we find indeed that, with realistic parameter values, local rotation has effects on the QGP (at high values of the baryonic chemical potential) which are not only of the same kind as those produced by magnetic fields, but which can in fact be substantially larger. Furthermore, the combined effect of rotation and magnetism is to change the shape of the main quark matter phase transition line in an interesting way, reducing the magnitude of its curvature; again, local rotation contributes to this phenomenon at least as strongly as magnetism.
| 9.015758
| 9.047238
| 8.945873
| 8.61375
| 8.883192
| 9.162984
| 9.130547
| 8.941869
| 8.126458
| 9.430291
| 8.696464
| 8.400924
| 8.036722
| 7.9987
| 8.247566
| 8.161358
| 8.227094
| 8.11559
| 8.021973
| 8.026856
| 8.45995
|
hep-th/9810202
|
Patrick E. Dorey
|
Patrick Dorey, Paolo Provero, Roberto Tateo and Stefano Vinti
|
On the phase diagram of the discrete $Z_6$ spin models
|
10 pages, Latex 2e, 4 figures, uses epsf, amssymb, cite
|
J.Phys. A32 (1999) L151-L158
|
10.1088/0305-4470/32/13/002
|
DTP-98/75, DFTT-62/98, T98/109, MS-TPI-98-21
|
hep-th cond-mat.stat-mech hep-lat
| null |
We point out some problems with the previously-proposed phase diagram of the
$Z_6$ spin models. Consideration of the diagram near to the decoupling surface
using both exact and approximate arguments suggests a modification which
remedies these deficiencies. With the aid of a new parametrisation of the phase
space, we study the models numerically, with results which support our
conjectures.
|
[
{
"created": "Mon, 26 Oct 1998 15:29:19 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Dorey",
"Patrick",
""
],
[
"Provero",
"Paolo",
""
],
[
"Tateo",
"Roberto",
""
],
[
"Vinti",
"Stefano",
""
]
] |
We point out some problems with the previously-proposed phase diagram of the $Z_6$ spin models. Consideration of the diagram near to the decoupling surface using both exact and approximate arguments suggests a modification which remedies these deficiencies. With the aid of a new parametrisation of the phase space, we study the models numerically, with results which support our conjectures.
| 20.910227
| 18.58016
| 16.261095
| 17.59132
| 19.291288
| 18.579605
| 18.042692
| 15.774403
| 16.71648
| 21.674906
| 15.902368
| 17.511032
| 19.242262
| 17.516026
| 17.344845
| 17.389498
| 17.081394
| 17.575821
| 17.146671
| 18.001722
| 18.101294
|
1405.6277
|
Yu-Xiao Liu
|
Zeng-Guang Xu, Yuan Zhong, Hao Yu, Yu-Xiao Liu
|
The structure of $f(R)$-brane model
|
v2: 10 pages, 8 figures, to be published in EPJC
|
Eur.Phys.J. C75 (2015) 368
|
10.1140/epjc/s10052-015-3597-0
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently, a family of interesting analytical brane solutions were found in
$f(R)$ gravity with $f(R)=R+\alpha R^2$ in Ref. [Phys. Lett. B 729, 127
(2014)]. In these solutions, inner brane structure can be turned on by tuning
the value of the parameter $\alpha$. In this paper, we investigate how the
parameter $\alpha$ affects the localization and the quasilocalization of the
tensorial gravitons around these solutions. It is found that, in a range of
$\alpha$, despite the brane has an inner structure, there is no graviton
resonance. However, in some other regions of the parameter space, although the
brane has no internal structure, the effective potential for the graviton KK
modes has a singular structure, and there exists a series of graviton resonant
modes. The contribution of the massive graviton KK modes to the Newton's law of
gravity is discussed shortly.
|
[
{
"created": "Sat, 24 May 2014 07:50:07 GMT",
"version": "v1"
},
{
"created": "Sun, 3 May 2015 01:28:19 GMT",
"version": "v2"
},
{
"created": "Mon, 3 Aug 2015 10:01:17 GMT",
"version": "v3"
}
] |
2015-10-27
|
[
[
"Xu",
"Zeng-Guang",
""
],
[
"Zhong",
"Yuan",
""
],
[
"Yu",
"Hao",
""
],
[
"Liu",
"Yu-Xiao",
""
]
] |
Recently, a family of interesting analytical brane solutions were found in $f(R)$ gravity with $f(R)=R+\alpha R^2$ in Ref. [Phys. Lett. B 729, 127 (2014)]. In these solutions, inner brane structure can be turned on by tuning the value of the parameter $\alpha$. In this paper, we investigate how the parameter $\alpha$ affects the localization and the quasilocalization of the tensorial gravitons around these solutions. It is found that, in a range of $\alpha$, despite the brane has an inner structure, there is no graviton resonance. However, in some other regions of the parameter space, although the brane has no internal structure, the effective potential for the graviton KK modes has a singular structure, and there exists a series of graviton resonant modes. The contribution of the massive graviton KK modes to the Newton's law of gravity is discussed shortly.
| 6.721754
| 6.055428
| 6.452899
| 5.942782
| 6.364389
| 6.565599
| 6.626328
| 6.104725
| 6.128288
| 7.061385
| 6.088351
| 6.205397
| 6.391306
| 6.32526
| 6.262835
| 6.400218
| 6.470897
| 6.210873
| 6.275491
| 6.508194
| 6.406697
|
hep-th/9605138
| null |
Takanori Fujiwara, Hiroshi Igarashi (Ibaraki U.) and Tadao Suzuki
(Kanazawa U.)
|
Super-Virasoro Anomaly, Super-Weyl Anomaly and the Super-Liouville
Action for 2D Supergravity
|
45 pages
|
Annals Phys. 254 (1997) 233-272
|
10.1006/aphy.1996.5643
|
IU-MSTP/13, KANAZAWA-96-07
|
hep-th
| null |
The relation between super-Virasoro anomaly and super-Weyl anomaly in $N=1$
NSR superstring coupled with 2D supergravity is investigated from canonical
theoretical view point. The WZW action canceling the super-Virasoro anomaly is
explicitly constructed. It is super-Weyl invariant but nonlocal functional of
2D supergravity. The nonlocality can be remedied by the super-Liouvlle action,
which in turn recovers the super-Weyl anomaly. The final gravitational
effective action turns out to be local but noncovariant super-Liouville action,
describing the dynamical behavior of the super-Liouville fields. The BRST
invariance of this approach is examined in the superconformal gauge and in the
light-cone gauge.
|
[
{
"created": "Tue, 21 May 1996 08:31:32 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Fujiwara",
"Takanori",
"",
"Ibaraki U."
],
[
"Igarashi",
"Hiroshi",
"",
"Ibaraki U."
],
[
"Suzuki",
"Tadao",
"",
"Kanazawa U."
]
] |
The relation between super-Virasoro anomaly and super-Weyl anomaly in $N=1$ NSR superstring coupled with 2D supergravity is investigated from canonical theoretical view point. The WZW action canceling the super-Virasoro anomaly is explicitly constructed. It is super-Weyl invariant but nonlocal functional of 2D supergravity. The nonlocality can be remedied by the super-Liouvlle action, which in turn recovers the super-Weyl anomaly. The final gravitational effective action turns out to be local but noncovariant super-Liouville action, describing the dynamical behavior of the super-Liouville fields. The BRST invariance of this approach is examined in the superconformal gauge and in the light-cone gauge.
| 9.263234
| 9.186665
| 10.275447
| 8.733682
| 9.033321
| 9.567291
| 8.895357
| 8.849395
| 8.58498
| 10.964333
| 8.878656
| 9.12384
| 9.630427
| 9.027331
| 8.912245
| 9.174353
| 8.906332
| 9.08461
| 9.229954
| 9.472479
| 8.834586
|
1002.1358
|
Ruben Manvelyan
|
Ruben Manvelyan, Karapet Mkrtchyan and Werner Ruehl
|
Direct construction of a cubic selfinteraction for higher spin gauge
fields
|
Latex, 20 pages, v.2 minor changes, references added, v.3 accepted in
Nucl.Phys.B
| null |
10.1016/j.nuclphysb.2010.11.009
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using Noether's procedure we directly construct a complete cubic
selfinteraction for the case of spin s=4 in a flat background and discuss the
cubic selfinteraction for general spin s with s derivatives in the same
background. The leading term of the latter interaction together with the
leading gauge transformation of first field order are presented.
|
[
{
"created": "Sat, 6 Feb 2010 13:13:23 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Oct 2010 08:36:02 GMT",
"version": "v2"
},
{
"created": "Thu, 18 Nov 2010 07:49:35 GMT",
"version": "v3"
}
] |
2015-05-18
|
[
[
"Manvelyan",
"Ruben",
""
],
[
"Mkrtchyan",
"Karapet",
""
],
[
"Ruehl",
"Werner",
""
]
] |
Using Noether's procedure we directly construct a complete cubic selfinteraction for the case of spin s=4 in a flat background and discuss the cubic selfinteraction for general spin s with s derivatives in the same background. The leading term of the latter interaction together with the leading gauge transformation of first field order are presented.
| 38.841438
| 24.352886
| 35.250889
| 23.53548
| 21.430742
| 25.46665
| 27.660904
| 25.99729
| 22.536709
| 28.050591
| 22.785131
| 25.353024
| 29.90531
| 26.595598
| 27.286665
| 25.473007
| 25.24497
| 25.270967
| 25.274986
| 27.469231
| 24.582762
|
hep-th/0504227
|
Alexey Golovnev
|
A.V. Golovnev, L.V. Prokhorov
|
On Dynamics of Strings and Branes
|
12 pages
|
Int.J.Theor.Phys. 45 (2006) 942-951
|
10.1007/s10773-006-9087-2
| null |
hep-th quant-ph
| null |
We study Nambu-Goto strings and branes. It is shown that they can be
considered as continuous limits of ordered discrete sets of relativistic
particles for which the tangential velocities are excluded from the action. The
linear in unphysical momenta constraints are found. It allows to derive the
evolution operators for the objects under consideration from the "first
principles".
|
[
{
"created": "Thu, 28 Apr 2005 18:56:20 GMT",
"version": "v1"
}
] |
2007-09-13
|
[
[
"Golovnev",
"A. V.",
""
],
[
"Prokhorov",
"L. V.",
""
]
] |
We study Nambu-Goto strings and branes. It is shown that they can be considered as continuous limits of ordered discrete sets of relativistic particles for which the tangential velocities are excluded from the action. The linear in unphysical momenta constraints are found. It allows to derive the evolution operators for the objects under consideration from the "first principles".
| 18.694334
| 18.188795
| 19.706316
| 17.753525
| 17.37941
| 16.509212
| 16.901253
| 18.123611
| 16.106598
| 18.946938
| 16.704765
| 17.652519
| 18.435919
| 17.548893
| 18.035467
| 17.707869
| 17.800829
| 17.205303
| 17.897448
| 18.643379
| 17.729073
|
1203.3852
|
Matteo Beccaria
|
Matteo Beccaria, Guido Macorini, CarloAlberto Ratti, Saulius Valatka
|
Semiclassical folded string in AdS4 X CP3
|
23 pages, 1 pdf figure, JHEP style, typo corrected
| null |
10.1007/JHEP05(2012)137
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider type IIA superstring theory on the background AdS4 x CP3, and the
classical solution describing a folded string spinning in AdS4 with angular
momentum in CP3. In the 't Hooft limit, it is the gravity dual of twist
operators in the ABJM superconformal theory. We quantize the classical solution
by algebraic curve methods and determine the first semiclassical correction to
the energy. We provide an integral representation for this quantity valid for
all values of the charges. We analyze its properties in the special regimes
associated with a short or long string providing various accurate analytical
expansions. Finally, we investigate various properties of the so-called slope,
the leading term of the energy for short strings, collecting information that
could be useful in attempts to generalize the exact results recently proposed
for the folded string in AdS5 x S5.
|
[
{
"created": "Sat, 17 Mar 2012 10:20:29 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Mar 2012 15:22:17 GMT",
"version": "v2"
},
{
"created": "Fri, 7 Mar 2014 09:35:07 GMT",
"version": "v3"
}
] |
2015-06-04
|
[
[
"Beccaria",
"Matteo",
""
],
[
"Macorini",
"Guido",
""
],
[
"Ratti",
"CarloAlberto",
""
],
[
"Valatka",
"Saulius",
""
]
] |
We consider type IIA superstring theory on the background AdS4 x CP3, and the classical solution describing a folded string spinning in AdS4 with angular momentum in CP3. In the 't Hooft limit, it is the gravity dual of twist operators in the ABJM superconformal theory. We quantize the classical solution by algebraic curve methods and determine the first semiclassical correction to the energy. We provide an integral representation for this quantity valid for all values of the charges. We analyze its properties in the special regimes associated with a short or long string providing various accurate analytical expansions. Finally, we investigate various properties of the so-called slope, the leading term of the energy for short strings, collecting information that could be useful in attempts to generalize the exact results recently proposed for the folded string in AdS5 x S5.
| 10.992586
| 9.001522
| 12.288641
| 8.963013
| 9.063247
| 8.812108
| 8.630843
| 7.855815
| 8.584992
| 13.22151
| 9.006027
| 9.654101
| 11.499763
| 9.762497
| 10.101538
| 9.75635
| 9.866601
| 9.707647
| 9.618439
| 11.209623
| 9.846671
|
hep-th/0211155
|
Wu Ning
|
Ning Wu
|
Unification of Electromagnetic Interactions and Gravitational
Interactions
|
5 pages, no figure
|
Commun.Theor.Phys.38:322-326,2002
|
10.1088/0253-6102/38/3/322
| null |
hep-th gr-qc hep-ph quant-ph
| null |
Unified theory of gravitational interactions and electromagnetic interactions
is discussed in this paper. Based on gauge principle, electromagnetic
interactions and gravitational interactions are formulated in the same manner
and are unified in a semi-direct product group of U(1) Abel gauge group and
gravitational gauge group.
|
[
{
"created": "Mon, 18 Nov 2002 09:41:33 GMT",
"version": "v1"
}
] |
2018-01-17
|
[
[
"Wu",
"Ning",
""
]
] |
Unified theory of gravitational interactions and electromagnetic interactions is discussed in this paper. Based on gauge principle, electromagnetic interactions and gravitational interactions are formulated in the same manner and are unified in a semi-direct product group of U(1) Abel gauge group and gravitational gauge group.
| 13.299134
| 10.855728
| 11.170538
| 10.801142
| 11.703757
| 11.822365
| 9.28134
| 9.813783
| 9.929835
| 12.930226
| 10.46041
| 11.016525
| 10.723811
| 11.046288
| 10.80897
| 10.854484
| 11.315613
| 10.512658
| 10.38848
| 11.349966
| 11.069023
|
hep-th/0107124
|
Nikolaos Mavromatos
|
G. A. Diamandis, B. C. Georgalas, N. E. Mavromatos, E. Papantonopoulos
and I. Pappa
|
Cosmological Evolution in a Type-0 String Theory
|
33 pages LATEX, seven eps figures incorporated
|
Int.J.Mod.Phys. A17 (2002) 2241-2266
|
10.1142/S0217751X02010534
| null |
hep-th astro-ph gr-qc hep-ph
| null |
We study the cosmological evolution of a type-0 string theory by employing
non-criticality, which may be induced by fluctuations of the D3 brane worlds.
We check the consistency of the approach to O(alpha ') in the corresponding
sigma-model. The ten-dimensional theory is reduced to an effective
four-dimensional model, with only time dependent fields. We show that the
four-dimensional universe has an inflationary phase and graceful exit from it,
while the other extra dimensions are stabilized to a constant value, with the
fifth dimension much larger than the others. We pay particular attention to
demonstrating the role of tachyonic matter in inducing these features. The
Universe asymptotes, for large times, to a non-accelerating linearly-expanding
Universe with a time-dependent dilaton and a relaxing to zero vacuum energy a
la quintessence.
|
[
{
"created": "Fri, 13 Jul 2001 17:47:49 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Diamandis",
"G. A.",
""
],
[
"Georgalas",
"B. C.",
""
],
[
"Mavromatos",
"N. E.",
""
],
[
"Papantonopoulos",
"E.",
""
],
[
"Pappa",
"I.",
""
]
] |
We study the cosmological evolution of a type-0 string theory by employing non-criticality, which may be induced by fluctuations of the D3 brane worlds. We check the consistency of the approach to O(alpha ') in the corresponding sigma-model. The ten-dimensional theory is reduced to an effective four-dimensional model, with only time dependent fields. We show that the four-dimensional universe has an inflationary phase and graceful exit from it, while the other extra dimensions are stabilized to a constant value, with the fifth dimension much larger than the others. We pay particular attention to demonstrating the role of tachyonic matter in inducing these features. The Universe asymptotes, for large times, to a non-accelerating linearly-expanding Universe with a time-dependent dilaton and a relaxing to zero vacuum energy a la quintessence.
| 14.064587
| 13.785903
| 14.524732
| 12.667212
| 13.908805
| 13.185554
| 12.773684
| 13.915117
| 13.123096
| 15.789294
| 13.339808
| 14.223528
| 13.836699
| 13.733931
| 14.089466
| 13.778536
| 14.067843
| 13.632113
| 13.599263
| 14.051308
| 13.464572
|
1005.0031
|
Kimball A. Milton
|
Kimball A. Milton
|
Local and Global Casimir Energies: Divergences, Renormalization, and the
Coupling to Gravity
|
53 pages, 1 figure, invited review paper to Lecture Notes in Physics
volume in Casimir physics edited by Diego Dalvit, Peter Milonni, David
Roberts, and Felipe da Rosa
|
Lect.Notes Phys.834:39-95,2011
|
10.1007/978-3-642-20288-9_3
| null |
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
From the beginning of the subject, calculations of quantum vacuum energies or
Casimir energies have been plagued with two types of divergences: The total
energy, which may be thought of as some sort of regularization of the
zero-point energy, $\sum\frac12\hbar\omega$, seems manifestly divergent. And
local energy densities, obtained from the vacuum expectation value of the
energy-momentum tensor, $\langle T_{00}\rangle$, typically diverge near
boundaries. The energy of interaction between distinct rigid bodies of whatever
type is finite, corresponding to observable forces and torques between the
bodies, which can be unambiguously calculated. The self-energy of a body is
less well-defined, and suffers divergences which may or may not be removable.
Some examples where a unique total self-stress may be evaluated include the
perfectly conducting spherical shell first considered by Boyer, a perfectly
conducting cylindrical shell, and dilute dielectric balls and cylinders. In
these cases the finite part is unique, yet there are divergent contributions
which may be subsumed in some sort of renormalization of physical parameters.
The divergences that occur in the local energy-momentum tensor near surfaces
are distinct from the divergences in the total energy, which are often
associated with energy located exactly on the surfaces. However, the local
energy-momentum tensor couples to gravity, so what is the significance of
infinite quantities here? For the classic situation of parallel plates there
are indications that the divergences in the local energy density are consistent
with divergences in Einstein's equations; correspondingly, it has been shown
that divergences in the total Casimir energy serve to precisely renormalize the
masses of the plates, in accordance with the equivalence principle.
|
[
{
"created": "Fri, 30 Apr 2010 23:35:38 GMT",
"version": "v1"
}
] |
2015-05-18
|
[
[
"Milton",
"Kimball A.",
""
]
] |
From the beginning of the subject, calculations of quantum vacuum energies or Casimir energies have been plagued with two types of divergences: The total energy, which may be thought of as some sort of regularization of the zero-point energy, $\sum\frac12\hbar\omega$, seems manifestly divergent. And local energy densities, obtained from the vacuum expectation value of the energy-momentum tensor, $\langle T_{00}\rangle$, typically diverge near boundaries. The energy of interaction between distinct rigid bodies of whatever type is finite, corresponding to observable forces and torques between the bodies, which can be unambiguously calculated. The self-energy of a body is less well-defined, and suffers divergences which may or may not be removable. Some examples where a unique total self-stress may be evaluated include the perfectly conducting spherical shell first considered by Boyer, a perfectly conducting cylindrical shell, and dilute dielectric balls and cylinders. In these cases the finite part is unique, yet there are divergent contributions which may be subsumed in some sort of renormalization of physical parameters. The divergences that occur in the local energy-momentum tensor near surfaces are distinct from the divergences in the total energy, which are often associated with energy located exactly on the surfaces. However, the local energy-momentum tensor couples to gravity, so what is the significance of infinite quantities here? For the classic situation of parallel plates there are indications that the divergences in the local energy density are consistent with divergences in Einstein's equations; correspondingly, it has been shown that divergences in the total Casimir energy serve to precisely renormalize the masses of the plates, in accordance with the equivalence principle.
| 9.606491
| 9.244565
| 10.057704
| 8.984696
| 9.592363
| 9.753087
| 9.3651
| 8.970392
| 8.895201
| 11.076903
| 8.598192
| 9.122592
| 9.094119
| 8.774369
| 8.973056
| 8.729062
| 8.860259
| 8.865745
| 9.077497
| 9.426228
| 9.108804
|
1108.2841
|
Cristian Martinez
|
Marc Henneaux, Cristian Martinez, Ricardo Troncoso
|
Asymptotically warped anti-de Sitter spacetimes in topologically massive
gravity
|
17 pages. References added
| null |
10.1103/PhysRevD.84.124016
|
CECS-PHY-11/05
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Asymptotically warped AdS spacetimes in topologically massive gravity with
negative cosmological constant are considered in the case of spacelike
stretched warping, where black holes have been shown to exist. We provide a set
of asymptotic conditions that accommodate solutions in which the local degree
of freedom (the "massive graviton") is switched on. An exact solution with this
property is explicitly exhibited and possesses a slower fall-off than the
warped AdS black hole. The boundary conditions are invariant under the
semidirect product of the Virasoro algebra with a u(1) current algebra. We show
that the canonical generators are integrable and finite. When the graviton is
not excited, our analysis is compared and contrasted with earlier results
obtained through the covariant approach to conserved charges. In particular, we
find agreement with the conserved charges of the warped AdS black holes as well
as with the central charges in the algebra.
|
[
{
"created": "Sun, 14 Aug 2011 04:53:44 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Aug 2011 14:05:46 GMT",
"version": "v2"
}
] |
2015-05-30
|
[
[
"Henneaux",
"Marc",
""
],
[
"Martinez",
"Cristian",
""
],
[
"Troncoso",
"Ricardo",
""
]
] |
Asymptotically warped AdS spacetimes in topologically massive gravity with negative cosmological constant are considered in the case of spacelike stretched warping, where black holes have been shown to exist. We provide a set of asymptotic conditions that accommodate solutions in which the local degree of freedom (the "massive graviton") is switched on. An exact solution with this property is explicitly exhibited and possesses a slower fall-off than the warped AdS black hole. The boundary conditions are invariant under the semidirect product of the Virasoro algebra with a u(1) current algebra. We show that the canonical generators are integrable and finite. When the graviton is not excited, our analysis is compared and contrasted with earlier results obtained through the covariant approach to conserved charges. In particular, we find agreement with the conserved charges of the warped AdS black holes as well as with the central charges in the algebra.
| 7.575606
| 7.554898
| 8.720116
| 7.398715
| 7.187802
| 7.053835
| 6.729341
| 7.586049
| 6.817212
| 8.664362
| 7.653433
| 7.250519
| 8.068397
| 7.350053
| 7.348347
| 7.495424
| 7.408452
| 7.402556
| 7.178837
| 7.783666
| 7.369042
|
2006.07369
|
Philip Boyle Smith
|
Philip Boyle Smith and David Tong
|
What Symmetries are Preserved by a Fermion Boundary State?
|
21 pages
| null | null | null |
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Usually, a left-moving fermion in d=1+1 dimensions reflects off a boundary to
become a right-moving fermion. This means that, while overall fermion parity
$(-1)^F$ is conserved, chiral fermion parity for left- and right-movers
individually is not. Remarkably, there are boundary conditions that do preserve
chiral fermion parity, but only when the number of Majorana fermions is a
multiple of 8. In this paper we classify all such boundary states for $2N$
Majorana fermions when a $U(1)^N$ symmetry is also preserved. The fact that
chiral-parity-preserving boundary conditions only exist when $2N$ is divisible
by 8 translates to an interesting property of charge lattices. We also classify
the enhanced continuous symmetry preserved by such boundary states. The state
with the maximum such symmetry is the $SO(8)$ boundary state, first constructed
by Maldacena and Ludwig to describe the scattering of fermions off a monopole
|
[
{
"created": "Fri, 12 Jun 2020 17:59:16 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Feb 2021 15:01:43 GMT",
"version": "v2"
}
] |
2021-02-26
|
[
[
"Smith",
"Philip Boyle",
""
],
[
"Tong",
"David",
""
]
] |
Usually, a left-moving fermion in d=1+1 dimensions reflects off a boundary to become a right-moving fermion. This means that, while overall fermion parity $(-1)^F$ is conserved, chiral fermion parity for left- and right-movers individually is not. Remarkably, there are boundary conditions that do preserve chiral fermion parity, but only when the number of Majorana fermions is a multiple of 8. In this paper we classify all such boundary states for $2N$ Majorana fermions when a $U(1)^N$ symmetry is also preserved. The fact that chiral-parity-preserving boundary conditions only exist when $2N$ is divisible by 8 translates to an interesting property of charge lattices. We also classify the enhanced continuous symmetry preserved by such boundary states. The state with the maximum such symmetry is the $SO(8)$ boundary state, first constructed by Maldacena and Ludwig to describe the scattering of fermions off a monopole
| 6.821527
| 6.58216
| 7.535788
| 6.179699
| 6.99146
| 6.594902
| 6.612876
| 6.385293
| 6.32824
| 7.503567
| 6.593128
| 6.560773
| 6.791551
| 6.443686
| 6.535567
| 6.628522
| 6.511492
| 6.456404
| 6.422458
| 6.984537
| 6.585663
|
hep-th/9404132
|
Noureddine Mohammedi
|
Noureddine Mohammedi
|
Wess-Zumino-Novikov-Witten Models Based on Lie Superalgebras
|
10 pages, Latexfile, BONN-TH-94-03
|
Phys.Lett. B331 (1994) 93-98
|
10.1016/0370-2693(94)90947-4
| null |
hep-th
| null |
The affine current algebra for Lie superalgebras is examined. The bilinear
invariant forms of the Lie superalgebra can be either degenerate or
non-degenerate. We give the conditions for a Virasoro construction, in which
the currents are primary fields of weight one, to exist. In certain cases, the
Virasoro central charge is an integer equal to the super dimension of the group
supermanifold. A Wess-Zumino-Novikov-Witten action based on these Lie
superalgebras is also found.
|
[
{
"created": "Thu, 21 Apr 1994 15:16:03 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Mohammedi",
"Noureddine",
""
]
] |
The affine current algebra for Lie superalgebras is examined. The bilinear invariant forms of the Lie superalgebra can be either degenerate or non-degenerate. We give the conditions for a Virasoro construction, in which the currents are primary fields of weight one, to exist. In certain cases, the Virasoro central charge is an integer equal to the super dimension of the group supermanifold. A Wess-Zumino-Novikov-Witten action based on these Lie superalgebras is also found.
| 7.594782
| 7.174469
| 8.103086
| 7.028386
| 7.331912
| 7.447506
| 7.465747
| 7.10935
| 7.019854
| 9.964249
| 6.615764
| 6.618312
| 8.010855
| 7.060881
| 7.282152
| 6.987949
| 7.179342
| 6.6743
| 6.984689
| 7.717042
| 6.982243
|
1011.3760
|
Noburo Shiba
|
Noburo Shiba
|
Entanglement Entropy of Two Black Holes and Entanglement Entropic Force
|
30 pages, 10 figures; v3, added captions for all figures
|
Phys.Rev.D83:065002,2011
|
10.1103/PhysRevD.83.065002
|
OU-HET 683/2010
|
hep-th astro-ph.HE gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the entanglement entropy, $S_C$, of a massless free scalar field on
the outside region $C$ of two black holes $A$ and $B$ whose radii are $R_1$ and
$R_2$ and how it depends on the distance, $r(\gg R_1,R_2)$, between two black
holes. If we can consider the entanglement entropy as thermodynamic entropy, we
can see the entropic force acting on the two black holes from the $r$
dependence of $S_C$. We develop the computational method based on that of
Bombelli et al to obtain the $r$ dependence of $S_C$ of scalar fields whose
Lagrangian is quadratic with respect to the scalar fields. First we study $S_C$
in $d+1$ dimensional Minkowski spacetime. In this case the state of the
massless free scalar field is the Minkowski vacuum state and we replace two
black holes by two imaginary spheres, and we take the trace over the degrees of
freedom residing in the imaginary spheres. We obtain the leading term of $S_C$
with respect to $1/r$. The result is $S_C=S_A+S_B+\tfrac{1}{r^{2d-2}}
G(R_1,R_2)$, where $S_A$ and $S_B$ are the entanglement entropy on the inside
region of $A$ and $B$, and $G(R_1,R_2) \leq 0$. We do not calculate
$G(R_1,R_2)$ in detail, but we show how to calculate it. In the black hole case
we use the method used in the Minkowski spacetime case with some modifications.
We show that $S_C$ can be expected to be the same form as that in the Minkowski
spacetime case. But in the black hole case, $S_A$ and $S_B$ depend on $r$, so
we do not fully obtain the $r$ dependence of $S_C$. Finally we assume that the
entanglement entropy can be regarded as thermodynamic entropy, and consider the
entropic force acting on two black holes. We argue how to separate the
entanglement entropic force from other force and how to cancel $S_A$ and $S_B$
whose $r$ dependence are not obtained. Then we obtain the physical prediction
which can be tested experimentally in principle.
|
[
{
"created": "Tue, 16 Nov 2010 17:08:50 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Dec 2010 13:53:06 GMT",
"version": "v2"
},
{
"created": "Mon, 31 Jan 2011 20:19:26 GMT",
"version": "v3"
}
] |
2015-03-17
|
[
[
"Shiba",
"Noburo",
""
]
] |
We study the entanglement entropy, $S_C$, of a massless free scalar field on the outside region $C$ of two black holes $A$ and $B$ whose radii are $R_1$ and $R_2$ and how it depends on the distance, $r(\gg R_1,R_2)$, between two black holes. If we can consider the entanglement entropy as thermodynamic entropy, we can see the entropic force acting on the two black holes from the $r$ dependence of $S_C$. We develop the computational method based on that of Bombelli et al to obtain the $r$ dependence of $S_C$ of scalar fields whose Lagrangian is quadratic with respect to the scalar fields. First we study $S_C$ in $d+1$ dimensional Minkowski spacetime. In this case the state of the massless free scalar field is the Minkowski vacuum state and we replace two black holes by two imaginary spheres, and we take the trace over the degrees of freedom residing in the imaginary spheres. We obtain the leading term of $S_C$ with respect to $1/r$. The result is $S_C=S_A+S_B+\tfrac{1}{r^{2d-2}} G(R_1,R_2)$, where $S_A$ and $S_B$ are the entanglement entropy on the inside region of $A$ and $B$, and $G(R_1,R_2) \leq 0$. We do not calculate $G(R_1,R_2)$ in detail, but we show how to calculate it. In the black hole case we use the method used in the Minkowski spacetime case with some modifications. We show that $S_C$ can be expected to be the same form as that in the Minkowski spacetime case. But in the black hole case, $S_A$ and $S_B$ depend on $r$, so we do not fully obtain the $r$ dependence of $S_C$. Finally we assume that the entanglement entropy can be regarded as thermodynamic entropy, and consider the entropic force acting on two black holes. We argue how to separate the entanglement entropic force from other force and how to cancel $S_A$ and $S_B$ whose $r$ dependence are not obtained. Then we obtain the physical prediction which can be tested experimentally in principle.
| 4.209935
| 4.454439
| 4.4173
| 4.362187
| 4.240927
| 4.626419
| 4.53456
| 4.450522
| 4.444252
| 4.648427
| 4.31016
| 4.22709
| 4.280024
| 4.192454
| 4.278787
| 4.23633
| 4.300967
| 4.226706
| 4.217034
| 4.290464
| 4.207488
|
hep-th/9604128
|
David Broadhurst
|
D.J.Broadhurst
|
On the enumeration of irreducible k-fold Euler sums and their roles in
knot theory and field theory
|
34 pages, LaTeX
| null | null |
OUT-4102-62
|
hep-th hep-ph math.QA q-alg
| null |
A generating function is given for the number, $E(l,k)$, of irreducible
$k$-fold Euler sums, with all possible alternations of sign, and exponents
summing to $l$. Its form is remarkably simple: $\sum_n E(k+2n,k) x^n =
\sum_{d|k}\mu(d) (1-x^d)^{-k/d}/k$, where $\mu$ is the M\"obius function.
Equivalently, the size of the search space in which $k$-fold Euler sums of
level $l$ are reducible to rational linear combinations of irreducible basis
terms is $S(l,k) = \sum_{n<k}{\lfloor(l+n-1)/2\rfloor\choose n}$. Analytical
methods, using Tony Hearn's REDUCE, achieve this reduction for the 3698
convergent double Euler sums with $l\leq44$; numerical methods, using David
Bailey's MPPSLQ, achieve it for the 1457 convergent $k$-fold sums with
$l\leq7$; combined methods yield bases for all remaining search spaces with
$S(l,k)\leq34$. These findings confirm expectations based on Dirk Kreimer's
connection of knot theory with quantum field theory. The occurrence in
perturbative quantum electrodynamics of all 12 irreducible Euler sums with
$l\leq 7$ is demonstrated. It is suggested that no further transcendental
occurs in the four-loop contributions to the electron's magnetic moment.
Irreducible Euler sums are found to occur in explicit analytical results, for
counterterms with up to 13 loops, yielding transcendental knot-numbers, up to
23 crossings.
|
[
{
"created": "Mon, 22 Apr 1996 03:09:35 GMT",
"version": "v1"
}
] |
2008-02-03
|
[
[
"Broadhurst",
"D. J.",
""
]
] |
A generating function is given for the number, $E(l,k)$, of irreducible $k$-fold Euler sums, with all possible alternations of sign, and exponents summing to $l$. Its form is remarkably simple: $\sum_n E(k+2n,k) x^n = \sum_{d|k}\mu(d) (1-x^d)^{-k/d}/k$, where $\mu$ is the M\"obius function. Equivalently, the size of the search space in which $k$-fold Euler sums of level $l$ are reducible to rational linear combinations of irreducible basis terms is $S(l,k) = \sum_{n<k}{\lfloor(l+n-1)/2\rfloor\choose n}$. Analytical methods, using Tony Hearn's REDUCE, achieve this reduction for the 3698 convergent double Euler sums with $l\leq44$; numerical methods, using David Bailey's MPPSLQ, achieve it for the 1457 convergent $k$-fold sums with $l\leq7$; combined methods yield bases for all remaining search spaces with $S(l,k)\leq34$. These findings confirm expectations based on Dirk Kreimer's connection of knot theory with quantum field theory. The occurrence in perturbative quantum electrodynamics of all 12 irreducible Euler sums with $l\leq 7$ is demonstrated. It is suggested that no further transcendental occurs in the four-loop contributions to the electron's magnetic moment. Irreducible Euler sums are found to occur in explicit analytical results, for counterterms with up to 13 loops, yielding transcendental knot-numbers, up to 23 crossings.
| 9.81406
| 12.806006
| 12.628356
| 10.44402
| 11.777534
| 12.400584
| 12.273216
| 11.19928
| 10.656597
| 12.572049
| 10.758091
| 10.121839
| 10.247957
| 9.482831
| 10.187275
| 9.690932
| 10.243985
| 9.72693
| 9.867839
| 10.492971
| 9.741769
|
1610.02261
|
Tatsuma Nishioka
|
Christopher P. Herzog and Tatsuma Nishioka
|
The Edge of Entanglement: Getting the Boundary Right for Non-Minimally
Coupled Scalar Fields
|
34 + 7 pages, 8 figures, v2: references added, typos corrected, v3:
minor changes
| null |
10.1007/JHEP12(2016)138
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In entanglement computations for a free scalar field with coupling to
background curvature, there is a boundary term in the modular Hamiltonian which
must be correctly specified in order to get sensible results. We focus here on
the entanglement in flat space across a planar interface and (in the case of
conformal coupling) other geometries related to this one by Weyl rescaling of
the metric. For these "half-space entanglement" computations, we give a new
derivation of the boundary term and revisit how it clears up a number of
puzzles in the literature, including mass corrections and twist operator
dimensions. We also discuss how related boundary terms may show up in other
field theories.
|
[
{
"created": "Fri, 7 Oct 2016 12:59:54 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Nov 2016 00:45:18 GMT",
"version": "v2"
},
{
"created": "Thu, 22 Dec 2016 07:30:56 GMT",
"version": "v3"
}
] |
2017-02-01
|
[
[
"Herzog",
"Christopher P.",
""
],
[
"Nishioka",
"Tatsuma",
""
]
] |
In entanglement computations for a free scalar field with coupling to background curvature, there is a boundary term in the modular Hamiltonian which must be correctly specified in order to get sensible results. We focus here on the entanglement in flat space across a planar interface and (in the case of conformal coupling) other geometries related to this one by Weyl rescaling of the metric. For these "half-space entanglement" computations, we give a new derivation of the boundary term and revisit how it clears up a number of puzzles in the literature, including mass corrections and twist operator dimensions. We also discuss how related boundary terms may show up in other field theories.
| 11.226634
| 12.710641
| 11.66644
| 10.064775
| 11.793881
| 10.800258
| 12.427788
| 11.548212
| 9.993699
| 13.900429
| 10.46327
| 10.33066
| 11.058032
| 10.37531
| 10.506396
| 10.360489
| 10.387807
| 10.566427
| 10.147812
| 11.278767
| 9.975206
|
2212.13437
|
Nikolaos Mavromatos
|
Nick E. Mavromatos (Natl. Tech. U. Athens and King's Coll. London)
|
Anomalies, the Dark Universe and Matter-Antimatter asymmetry
|
16 pages latex, uses special macros. Plenary talk at DICE
2022-Spacetime-Matter-Quantum-Mechanics, 10th International Workshop (Quantum
riddles and spacetime oddities), Castello Pasquini (Castiglioncello,
Tuscany), September 19-23 2022
| null | null |
KCL-PH-TH/2022-61
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
I review a (3+1)-dimensional, string-inspired cosmological model with
gravitational anomalies (of Chern-Simons (CS) type) at early epochs, and a
totally-antisymmetric torsion, dual to a massless axion-like field
("gravitational axion"), which couples to the CS term. Under appropriate
conditions, primordial gravitational waves can condense, leading to a
condensate of the CS anomaly term. As a consequence, one obtains inflation in
this theory, of running-vacuum-model (RVM) type, without the need for external
inflatons. At the end of the inflationary era, chiral fermionic matter is
generated, whose gravitational anomalies cancel the primordial ones. On the
other hand, chiral anomalies of gauge type, which are also generated by the
chiral matter, remain present during the post-inflationary epochs and become
responsible for the generation of a non-perturbative mass for the
torsion-related gravitational axion, which, in this way, might play the role of
a Dark Matter component of geometrical origin. Moreover, in this model, stringy
non-perturbative effects during the RVM inflationary phase generate periodic
structures for the potential of axion-like particles that arise due to
compactification, and co-exist with the gravitational axions. Such periodic
potential modulations may lead to an enhanced production of primordial black
holes during inflation, which in turn affects the profile of the generated
gravitational waves during the radiation era, with potentially observable
consequences. This model also entails an unconventional mechanism for
Leptogenesis, due to Lorentz-violating backgrounds of the gravitational axions
that are generated during inflation, as a consequence of the anomaly
condensates, and remain undiluted in the radiation era.
|
[
{
"created": "Tue, 27 Dec 2022 10:25:41 GMT",
"version": "v1"
}
] |
2022-12-29
|
[
[
"Mavromatos",
"Nick E.",
"",
"Natl. Tech. U. Athens and King's Coll. London"
]
] |
I review a (3+1)-dimensional, string-inspired cosmological model with gravitational anomalies (of Chern-Simons (CS) type) at early epochs, and a totally-antisymmetric torsion, dual to a massless axion-like field ("gravitational axion"), which couples to the CS term. Under appropriate conditions, primordial gravitational waves can condense, leading to a condensate of the CS anomaly term. As a consequence, one obtains inflation in this theory, of running-vacuum-model (RVM) type, without the need for external inflatons. At the end of the inflationary era, chiral fermionic matter is generated, whose gravitational anomalies cancel the primordial ones. On the other hand, chiral anomalies of gauge type, which are also generated by the chiral matter, remain present during the post-inflationary epochs and become responsible for the generation of a non-perturbative mass for the torsion-related gravitational axion, which, in this way, might play the role of a Dark Matter component of geometrical origin. Moreover, in this model, stringy non-perturbative effects during the RVM inflationary phase generate periodic structures for the potential of axion-like particles that arise due to compactification, and co-exist with the gravitational axions. Such periodic potential modulations may lead to an enhanced production of primordial black holes during inflation, which in turn affects the profile of the generated gravitational waves during the radiation era, with potentially observable consequences. This model also entails an unconventional mechanism for Leptogenesis, due to Lorentz-violating backgrounds of the gravitational axions that are generated during inflation, as a consequence of the anomaly condensates, and remain undiluted in the radiation era.
| 9.512943
| 9.778174
| 9.497814
| 9.187239
| 9.923692
| 9.441311
| 10.177333
| 8.609203
| 8.921168
| 9.516887
| 9.409194
| 9.411655
| 9.426578
| 9.167391
| 9.257862
| 8.991858
| 9.115397
| 9.067308
| 9.162558
| 9.335332
| 8.96469
|
1108.6194
|
Hugh Osborn
|
F. A. Dolan and H. Osborn
|
Conformal Partial Waves: Further Mathematical Results
|
49 pages, v2 section on recursion relations rewritten, other
additions and corrections
| null | null |
DAMTP/11-64
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Further results for conformal partial waves for four point functions for
conformal primary scalar fields in conformally invariant theories are obtained.
They are defined as eigenfunctions of the differential Casimir operators for
the conformal group acting on two variable functions subject to appropriate
boundary conditions. As well as the scale dimension $\Delta$ and spin $\ell$
the conformal partial waves depend on two parameters $a,b$ related to the
dimensions of the operators in the four point function. Expressions for the
Mellin transform of conformal partial waves are obtained in terms of
polynomials of the Mellin transform variables given in terms of finite sums.
Differential operators which change $a,b$ by $\pm 1$, shift the dimension $d$
by $\pm 2$ and also change $\Delta,\ell$ are found. Previous results for
$d=2,4,6$ are recovered. The trivial case of $d=1$ and also $d=3$ are also
discussed. For $d=3$ formulae for the conformal partial waves in some
restricted cases as a single variable integral representation based on the
Bateman transform are found.
|
[
{
"created": "Wed, 31 Aug 2011 11:31:09 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Feb 2012 10:34:59 GMT",
"version": "v2"
}
] |
2012-03-01
|
[
[
"Dolan",
"F. A.",
""
],
[
"Osborn",
"H.",
""
]
] |
Further results for conformal partial waves for four point functions for conformal primary scalar fields in conformally invariant theories are obtained. They are defined as eigenfunctions of the differential Casimir operators for the conformal group acting on two variable functions subject to appropriate boundary conditions. As well as the scale dimension $\Delta$ and spin $\ell$ the conformal partial waves depend on two parameters $a,b$ related to the dimensions of the operators in the four point function. Expressions for the Mellin transform of conformal partial waves are obtained in terms of polynomials of the Mellin transform variables given in terms of finite sums. Differential operators which change $a,b$ by $\pm 1$, shift the dimension $d$ by $\pm 2$ and also change $\Delta,\ell$ are found. Previous results for $d=2,4,6$ are recovered. The trivial case of $d=1$ and also $d=3$ are also discussed. For $d=3$ formulae for the conformal partial waves in some restricted cases as a single variable integral representation based on the Bateman transform are found.
| 7.032428
| 6.564369
| 7.976466
| 6.951962
| 6.837221
| 6.94302
| 6.745335
| 7.08189
| 6.733446
| 8.15255
| 7.041781
| 6.840652
| 7.032014
| 6.771857
| 6.588551
| 6.551682
| 6.699841
| 6.646513
| 6.79583
| 7.195777
| 6.852886
|
hep-th/9405021
|
R. A. Sharipov
|
A. Yu. Boldin, V. V. Dmitrieva, S. S. Safin, R. A. Sharipov (Bashkir
State University)
|
Dynamical systems accepting the normal shift on an arbitrary Riemannian
manifold
|
10 pages. Published in book: "Dynamical systems accepting the normal
shift". Editor Sharipov R.A., Bashkir State University, Ufa 1994, pp. 4-19
|
Theor.Math.Phys. 103 (1995) 543-549; Teor.Mat.Fiz. 103N2 (1995)
256-266
| null | null |
hep-th chao-dyn math.DG nlin.CD
| null |
Newtonian dynamical systems which accept the normal shift on an arbitrary
Riemannian manifold are considered. For them the determinating equations making
the weak normality condition are derived. The expansion for the algebra of
tensor fields is constructed.
|
[
{
"created": "Mon, 3 May 1993 09:03:59 GMT",
"version": "v1"
}
] |
2008-02-03
|
[
[
"Boldin",
"A. Yu.",
"",
"Bashkir\n State University"
],
[
"Dmitrieva",
"V. V.",
"",
"Bashkir\n State University"
],
[
"Safin",
"S. S.",
"",
"Bashkir\n State University"
],
[
"Sharipov",
"R. A.",
"",
"Bashkir\n State University"
]
] |
Newtonian dynamical systems which accept the normal shift on an arbitrary Riemannian manifold are considered. For them the determinating equations making the weak normality condition are derived. The expansion for the algebra of tensor fields is constructed.
| 35.889519
| 32.5168
| 34.127563
| 36.380856
| 42.967999
| 35.923977
| 42.327236
| 36.408695
| 36.076679
| 38.780182
| 33.395885
| 34.035923
| 32.807137
| 33.783463
| 31.886728
| 33.780529
| 35.97366
| 35.001949
| 34.804493
| 35.397598
| 34.125725
|
hep-th/9707027
|
Changhyun Ahn
|
Changhyun Ahn, Kyungho Oh and Radu Tatar
|
Branes, Geometry and N=1 Duality with Product Gauge Groups of SO and Sp
|
26 pages, latex, 6 figures, 4 tables, 1 appendix, v2: changed the
sign of A^5 in page 4, corrected geometric configuration of Calabi-Yau 3-fold
in the text, added O6 plane charge in page 7, and inserted the appendix
|
J.Geom.Phys. 31 (1999) 301-322
|
10.1016/S0393-0440(99)00017-0
|
APCTP-97-13, SNUTP-97-093, UM-TG-196
|
hep-th
| null |
We study N=1 dualities in four dimensional supersymmetric gauge theories as
the worldvolume theory of D4 branes with one compact direction in type IIA
string theory. We generalize the previous work for SO(N_{c1}) x Sp(N_{c2}) with
the superpotential W=Tr X^4 to the case of W= Tr X^4(k+1) in terms of brane
configuration. We conjecture that the new dualities for the product gauge
groups of SO(N_{c1}) x Sp(N_{c2}) x SO(N_{c3}), SO(N_{c1}) x Sp(N_{c2}) x
SO(N_{c3}) x Sp(N_{c4}) and higher multiple product gauge groups can be
obtained by reversing the ordering of NS5 branes and D6 branes while preserving
the linking numbers. We also describe the above dualities in terms of wrapping
D6 branes around 3 cycles of Calabi-Yau threefolds in type IIA string theory.
The theory with adjoint matter can be regarded as taking multiple copies of NS5
brane in the configuration of brane or geometric approaches.
|
[
{
"created": "Wed, 2 Jul 1997 09:04:04 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Jul 1998 04:32:55 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Ahn",
"Changhyun",
""
],
[
"Oh",
"Kyungho",
""
],
[
"Tatar",
"Radu",
""
]
] |
We study N=1 dualities in four dimensional supersymmetric gauge theories as the worldvolume theory of D4 branes with one compact direction in type IIA string theory. We generalize the previous work for SO(N_{c1}) x Sp(N_{c2}) with the superpotential W=Tr X^4 to the case of W= Tr X^4(k+1) in terms of brane configuration. We conjecture that the new dualities for the product gauge groups of SO(N_{c1}) x Sp(N_{c2}) x SO(N_{c3}), SO(N_{c1}) x Sp(N_{c2}) x SO(N_{c3}) x Sp(N_{c4}) and higher multiple product gauge groups can be obtained by reversing the ordering of NS5 branes and D6 branes while preserving the linking numbers. We also describe the above dualities in terms of wrapping D6 branes around 3 cycles of Calabi-Yau threefolds in type IIA string theory. The theory with adjoint matter can be regarded as taking multiple copies of NS5 brane in the configuration of brane or geometric approaches.
| 6.08196
| 5.853189
| 6.723242
| 5.553916
| 5.917918
| 5.896648
| 5.91429
| 5.586269
| 5.772346
| 7.481908
| 5.744758
| 5.818771
| 6.227291
| 6.037048
| 5.935451
| 5.91325
| 5.825623
| 5.820223
| 5.754408
| 6.286433
| 5.906886
|
1906.08220
|
Luca Romano
|
Luca Romano
|
Non-Relativistic Four Dimensional p-Brane Supersymmetric Theories and
Lie Algebra Expansion
| null |
Class. Quantum Grav. 37 (2020) n. 14, 145016
|
10.1088/1361-6382/ab8bbc
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We apply the Lie algebra expansion method to the $\mathcal{N}=1$
super-Poincar\'e algerba in four dimensions. We define a set of p-brane
projectors that induce a decomposition of the super-Poincar\'e algebra
preparatory for the expansion. We show that starting from the $\mathcal{N}=1$
supergravity action in four dimensions it is possible to obtain two
non-relativistic supersymmetric theories, one describing strings, the other
membranes.
|
[
{
"created": "Wed, 19 Jun 2019 16:56:31 GMT",
"version": "v1"
}
] |
2020-07-07
|
[
[
"Romano",
"Luca",
""
]
] |
We apply the Lie algebra expansion method to the $\mathcal{N}=1$ super-Poincar\'e algerba in four dimensions. We define a set of p-brane projectors that induce a decomposition of the super-Poincar\'e algebra preparatory for the expansion. We show that starting from the $\mathcal{N}=1$ supergravity action in four dimensions it is possible to obtain two non-relativistic supersymmetric theories, one describing strings, the other membranes.
| 8.498018
| 6.925518
| 7.912714
| 6.374316
| 6.80686
| 7.020523
| 6.467401
| 6.566638
| 6.381973
| 7.385684
| 6.875254
| 7.168186
| 7.608546
| 7.224361
| 7.252886
| 7.054689
| 6.990419
| 7.353899
| 7.264586
| 7.172781
| 6.975515
|
2211.07809
|
Dine Ousmane Samary
|
Vincent Lahoche and Dine Ousmane Samary
|
Low temperature dynamics for confined $p=2$ soft spin in the quenched
regime
|
8 pages, 6 figures. Improve version, we entirely solved the closed
equation allows determining the critical temperature
|
Eur. Phys. J. Plus (2023)
|
10.1140/epjp/s13360-023-04039-5
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper aims to address the low-temperature dynamics issue for the $p=2$
spin dynamics with confining potential, focusing especially on quartic and
sextic cases. The dynamics are described by a Langevin equation for a real
vector $q_i$ of size $N$, where disorder is materialized by a Wigner matrix and
we especially investigate the self consistent evolution equation for effective
potential arising from self averaging of the square length $a(t)\equiv \sum_i
q_i^2(t)/N$ for large $N$. We first focus on the static case, assuming the
system reached some equilibrium point, and we then investigate the way the
system reach this point dynamically. This allows to identify a critical
temperature, above which the relaxation toward equilibrium follows an
exponential law but below which it has infinite time life and corresponds to a
power law decay.
|
[
{
"created": "Tue, 15 Nov 2022 00:32:31 GMT",
"version": "v1"
},
{
"created": "Sat, 31 Dec 2022 10:33:11 GMT",
"version": "v2"
},
{
"created": "Tue, 21 Mar 2023 22:00:09 GMT",
"version": "v3"
}
] |
2023-05-25
|
[
[
"Lahoche",
"Vincent",
""
],
[
"Samary",
"Dine Ousmane",
""
]
] |
This paper aims to address the low-temperature dynamics issue for the $p=2$ spin dynamics with confining potential, focusing especially on quartic and sextic cases. The dynamics are described by a Langevin equation for a real vector $q_i$ of size $N$, where disorder is materialized by a Wigner matrix and we especially investigate the self consistent evolution equation for effective potential arising from self averaging of the square length $a(t)\equiv \sum_i q_i^2(t)/N$ for large $N$. We first focus on the static case, assuming the system reached some equilibrium point, and we then investigate the way the system reach this point dynamically. This allows to identify a critical temperature, above which the relaxation toward equilibrium follows an exponential law but below which it has infinite time life and corresponds to a power law decay.
| 16.95281
| 17.976614
| 18.942448
| 17.716272
| 19.198824
| 19.530521
| 17.7484
| 17.856756
| 18.278286
| 19.887115
| 17.614532
| 16.639133
| 17.662252
| 16.712584
| 16.445343
| 16.544672
| 16.469063
| 16.858047
| 16.439072
| 17.048544
| 16.632652
|
2004.02176
|
Masoumeh Ghasemkhani
|
R. Bufalo, M. Ghasemkhani, Z. Haghgouyan, A. Soto
|
Induced Maxwell-Chern-Simons Effective Action in Very Special Relativity
|
19 pages, 3 figures
| null |
10.1140/epjc/s10052-020-08660-x
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we study the one-loop induced photon's effective action in the
very special relativity electrodynamics in $(2+1)$ spacetime (VSR-QED$_{3}$).
Due to the presence of new nonlocal couplings resulting from the VSR gauge
symmetry, we have additional graphs contributing to the $\langle AA\rangle$ and
$\langle AAA \rangle$ amplitudes. From these contributions, we discuss the VSR
generalization of the Abelian Maxwell-Chern-Simons Lagrangian, consisting in
the dynamical part and the Chern-Simons-like self-couplings, respectively. We
use the VSR-Chern-Simons electrodynamics to discuss some non-Ohmic behavior on
topological materials, in particular VSR effects on Hall's conductivity. In the
dynamical part of the effective action, we observe the presence of a UV/IR
mixing, due to the entanglement of the VSR nonlocal effects to the quantum
higher-derivative terms. Furthermore, in the self-coupling aspect, we verify
the validity of the Furry's theorem in the VSR-QED$_{3}$ explicitly.
|
[
{
"created": "Sun, 5 Apr 2020 12:21:14 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Dec 2020 18:26:27 GMT",
"version": "v2"
}
] |
2020-12-17
|
[
[
"Bufalo",
"R.",
""
],
[
"Ghasemkhani",
"M.",
""
],
[
"Haghgouyan",
"Z.",
""
],
[
"Soto",
"A.",
""
]
] |
In this paper, we study the one-loop induced photon's effective action in the very special relativity electrodynamics in $(2+1)$ spacetime (VSR-QED$_{3}$). Due to the presence of new nonlocal couplings resulting from the VSR gauge symmetry, we have additional graphs contributing to the $\langle AA\rangle$ and $\langle AAA \rangle$ amplitudes. From these contributions, we discuss the VSR generalization of the Abelian Maxwell-Chern-Simons Lagrangian, consisting in the dynamical part and the Chern-Simons-like self-couplings, respectively. We use the VSR-Chern-Simons electrodynamics to discuss some non-Ohmic behavior on topological materials, in particular VSR effects on Hall's conductivity. In the dynamical part of the effective action, we observe the presence of a UV/IR mixing, due to the entanglement of the VSR nonlocal effects to the quantum higher-derivative terms. Furthermore, in the self-coupling aspect, we verify the validity of the Furry's theorem in the VSR-QED$_{3}$ explicitly.
| 8.592345
| 7.680361
| 8.407353
| 7.503014
| 8.067674
| 7.663589
| 8.223484
| 7.319708
| 7.992622
| 9.151139
| 7.777443
| 8.05304
| 8.50739
| 8.044664
| 8.18131
| 7.883398
| 7.98487
| 7.960076
| 8.060345
| 8.596104
| 7.935462
|
hep-th/9910025
|
Iain Stewart
|
Thomas Mehen, Iain W. Stewart, Mark B. Wise
|
Conformal Invariance for Non-Relativistic Field Theory
|
12 pages, journal version, additional clarifying remarks added
|
Phys.Lett.B474:145-152,2000
|
10.1016/S0370-2693(00)00006-X
|
CALT-68-2242, UCSD/PTH 99-14
|
hep-th hep-ph nucl-th
| null |
Momentum space Ward identities are derived for the amputated n-point Green's
functions in 3+1 dimensional non-relativistic conformal field theory. For n=4
and 6 the implications for scattering amplitudes (i.e. on-shell amputated
Green's functions) are considered. Any scale invariant 2-to-2 scattering
amplitude is also conformally invariant. However, conformal invariance imposes
constraints on off-shell Green's functions and the three particle scattering
amplitude which are not automatically satisfied if they are scale invariant. As
an explicit example of a conformally invariant theory we consider
non-relativistic particles in the infinite scattering length limit.
|
[
{
"created": "Mon, 4 Oct 1999 01:24:53 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Oct 1999 00:35:30 GMT",
"version": "v2"
},
{
"created": "Sat, 29 Jan 2000 02:22:31 GMT",
"version": "v3"
}
] |
2014-11-18
|
[
[
"Mehen",
"Thomas",
""
],
[
"Stewart",
"Iain W.",
""
],
[
"Wise",
"Mark B.",
""
]
] |
Momentum space Ward identities are derived for the amputated n-point Green's functions in 3+1 dimensional non-relativistic conformal field theory. For n=4 and 6 the implications for scattering amplitudes (i.e. on-shell amputated Green's functions) are considered. Any scale invariant 2-to-2 scattering amplitude is also conformally invariant. However, conformal invariance imposes constraints on off-shell Green's functions and the three particle scattering amplitude which are not automatically satisfied if they are scale invariant. As an explicit example of a conformally invariant theory we consider non-relativistic particles in the infinite scattering length limit.
| 7.194311
| 7.894631
| 7.279208
| 6.138057
| 7.085595
| 6.660598
| 6.705191
| 6.779461
| 6.295457
| 7.824384
| 6.500034
| 6.415835
| 6.553011
| 6.300197
| 6.284307
| 6.576146
| 6.707271
| 6.524803
| 6.282664
| 6.381418
| 6.408015
|
1007.2068
|
Jinn-Ouk Gong
|
Heng-Yu Chen, Jinn-Ouk Gong, Kazuya Koyama and Gianmassimo Tasinato
|
Towards multi-field D-brane inflation in a warped throat
|
(v1) 35 pages, 7 figures, 2 tables; (v2) 37 pages, more discussions
and references, to appear in Journal of Cosmology and Astroparticle Physics
|
JCAP 1011:034,2010
|
10.1088/1475-7516/2010/11/034
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the inflationary dynamics in a model of slow-roll inflation in
warped throat. Inflation is realized by the motion of a D-brane along the
radial direction of the throat, and at later stages instabilities develop in
the angular directions. We closely investigate both the single field potential
relevant for the slow-roll phase, and the full multi-field one including the
angular modes which becomes important at later stages. We study the main
features of the instability process, discussing its possible consequences and
identifying the vacua towards which the angular modes are driven.
|
[
{
"created": "Tue, 13 Jul 2010 09:58:23 GMT",
"version": "v1"
},
{
"created": "Sat, 6 Nov 2010 20:16:33 GMT",
"version": "v2"
}
] |
2010-11-30
|
[
[
"Chen",
"Heng-Yu",
""
],
[
"Gong",
"Jinn-Ouk",
""
],
[
"Koyama",
"Kazuya",
""
],
[
"Tasinato",
"Gianmassimo",
""
]
] |
We study the inflationary dynamics in a model of slow-roll inflation in warped throat. Inflation is realized by the motion of a D-brane along the radial direction of the throat, and at later stages instabilities develop in the angular directions. We closely investigate both the single field potential relevant for the slow-roll phase, and the full multi-field one including the angular modes which becomes important at later stages. We study the main features of the instability process, discussing its possible consequences and identifying the vacua towards which the angular modes are driven.
| 11.702474
| 10.564949
| 11.937146
| 11.356741
| 12.101977
| 10.592418
| 10.955363
| 11.167094
| 10.427508
| 12.321417
| 10.061798
| 10.902708
| 10.582965
| 10.680393
| 11.023114
| 10.639153
| 10.795238
| 11.04678
| 11.040055
| 11.187465
| 10.638164
|
2203.03063
|
Norbert Dragon
|
Norbert Dragon and Florian Oppermann
|
Heisenberg Algebra and String Theory
| null | null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
If the algebra of the Poincar\'e generators is enlarged by the spacetime
position operator $X=(X_0,\dots, X_{D-1})$ then the spectra of the momentum $P$
and the mass $P^2$ are unbounded and continuous. In particular, the constraint
$(P^2 - m^2)\Psi_{\text{phys}}=0$ of the covariant string has no solution in
the space which admits $X$: All physical states vanish, $\Psi_{\text{phys}}=0$.
Vice versa, a space spanned by mass eigenstates does not admit the position
operator $X$ in $D$ dimensions.
A massless particle does not allow a spatial position operator $\vec X$.
The domain of Heisenberg pairs $X^i$ and $P^j$, $i,j\in \{1,\dots D-2\}$, $D
> 2$, which commute with $P^+=(P^0 + P_z)/\sqrt{2}$, $[P^+,X^i] = 0$, does not
allow for a space with massless or tachyonic states, which is mapped to itself
by rotations, leave alone Lorentz transformations. This is true in all
dimensions and makes the algebraic calculation of the critical dimension,
$D=26$, of the bosonic string meaningless: the light cone string is not Lorentz
invariant.
|
[
{
"created": "Sun, 6 Mar 2022 22:28:11 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Jun 2022 14:47:33 GMT",
"version": "v2"
}
] |
2022-06-14
|
[
[
"Dragon",
"Norbert",
""
],
[
"Oppermann",
"Florian",
""
]
] |
If the algebra of the Poincar\'e generators is enlarged by the spacetime position operator $X=(X_0,\dots, X_{D-1})$ then the spectra of the momentum $P$ and the mass $P^2$ are unbounded and continuous. In particular, the constraint $(P^2 - m^2)\Psi_{\text{phys}}=0$ of the covariant string has no solution in the space which admits $X$: All physical states vanish, $\Psi_{\text{phys}}=0$. Vice versa, a space spanned by mass eigenstates does not admit the position operator $X$ in $D$ dimensions. A massless particle does not allow a spatial position operator $\vec X$. The domain of Heisenberg pairs $X^i$ and $P^j$, $i,j\in \{1,\dots D-2\}$, $D > 2$, which commute with $P^+=(P^0 + P_z)/\sqrt{2}$, $[P^+,X^i] = 0$, does not allow for a space with massless or tachyonic states, which is mapped to itself by rotations, leave alone Lorentz transformations. This is true in all dimensions and makes the algebraic calculation of the critical dimension, $D=26$, of the bosonic string meaningless: the light cone string is not Lorentz invariant.
| 7.745938
| 8.416439
| 8.058508
| 7.989974
| 8.308977
| 8.303945
| 8.878443
| 8.044947
| 8.362885
| 9.403706
| 7.541881
| 7.773429
| 7.837306
| 7.480621
| 7.746941
| 7.568251
| 7.610687
| 7.310393
| 7.668972
| 7.69367
| 7.402678
|
1712.02309
|
Subramanya Hegde
|
Subramanya Hegde, Ivano Lodato, Bindusar Sahoo
|
A 24+24 real scalar multiplet in four dimensional N=2 conformal
supergravity
|
Revtex, 14 pages, typos corrected, minor modifications
|
Phys. Rev. D 97, 066026 (2018)
|
10.1103/PhysRevD.97.066026
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Starting from the 48+48 component multiplet of supercurrents for a rigid N=2
tensor multiplet in four spacetime dimensions, we obtain the transformation of
the linearized supergravity multiplet which couples to this supercurrent
multiplet. At the linearized level, this 48+48 component supergravity multiplet
decouples into the 24+24 component linearized standard Weyl multiplet and a
24+24 component irreducible matter multiplet containing a real scalar field. By
a consistent application of the supersymmetry algebra with field dependent
structure constants appropriate to N=2 conformal supergravity, we find the full
transformation law for this multiplet in a conformal supergravity background.
By performing a field redefinition and switching off the conformal supergravity
background, the multiplet is equivalent to the one introduced by Howe et al in
flat space as a constrained real scalar superfield. We present a set of
constraints which can be consistently imposed on this multiplet to obtain a
restricted minimal 8+8 off-shell matter multiplet. We also show as an example
the precise embedding of the tensor multiplet inside this multiplet.
|
[
{
"created": "Wed, 6 Dec 2017 18:04:04 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Dec 2017 12:52:26 GMT",
"version": "v2"
},
{
"created": "Tue, 13 Feb 2018 08:29:56 GMT",
"version": "v3"
}
] |
2018-04-04
|
[
[
"Hegde",
"Subramanya",
""
],
[
"Lodato",
"Ivano",
""
],
[
"Sahoo",
"Bindusar",
""
]
] |
Starting from the 48+48 component multiplet of supercurrents for a rigid N=2 tensor multiplet in four spacetime dimensions, we obtain the transformation of the linearized supergravity multiplet which couples to this supercurrent multiplet. At the linearized level, this 48+48 component supergravity multiplet decouples into the 24+24 component linearized standard Weyl multiplet and a 24+24 component irreducible matter multiplet containing a real scalar field. By a consistent application of the supersymmetry algebra with field dependent structure constants appropriate to N=2 conformal supergravity, we find the full transformation law for this multiplet in a conformal supergravity background. By performing a field redefinition and switching off the conformal supergravity background, the multiplet is equivalent to the one introduced by Howe et al in flat space as a constrained real scalar superfield. We present a set of constraints which can be consistently imposed on this multiplet to obtain a restricted minimal 8+8 off-shell matter multiplet. We also show as an example the precise embedding of the tensor multiplet inside this multiplet.
| 8.219625
| 8.244674
| 9.002046
| 7.639493
| 8.251429
| 7.694664
| 7.907889
| 7.668365
| 7.460782
| 8.652313
| 7.346617
| 7.333197
| 7.709569
| 7.507176
| 7.664435
| 7.684937
| 7.518079
| 7.503218
| 7.381373
| 7.630615
| 7.487758
|
0705.1098
|
Shinya Tomizawa
|
Shinya Tomizawa, Hideki Ishihara, Masashi Kimura and Ken Matsuno
|
Supersymmetric Black Rings on Eguchi-Hanson Space
|
21 pages
|
Class.Quant.Grav.24:5609-5626,2007
|
10.1088/0264-9381/24/22/020
|
OCU-PHYS 266, AP-GR 42
|
hep-th
| null |
We construct new supersymmetric black ring solutions on the Eguchi-Hanson
base space as solutions of five-dimensional minimal supergravity. The solutions
have the same two angular momentum components and the asymptotic structure on
timeslices is asymptotically locally Euclidean. The S^1-direction of the black
ring is along the equator on a S^2-bolt on the Eguchi-Hanson space. We also
investigate the limit to a black hole, which describes the BMPV black hole with
the topology of the lens space L(2;1)=S^3/Z_2.
|
[
{
"created": "Tue, 8 May 2007 13:54:41 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Tomizawa",
"Shinya",
""
],
[
"Ishihara",
"Hideki",
""
],
[
"Kimura",
"Masashi",
""
],
[
"Matsuno",
"Ken",
""
]
] |
We construct new supersymmetric black ring solutions on the Eguchi-Hanson base space as solutions of five-dimensional minimal supergravity. The solutions have the same two angular momentum components and the asymptotic structure on timeslices is asymptotically locally Euclidean. The S^1-direction of the black ring is along the equator on a S^2-bolt on the Eguchi-Hanson space. We also investigate the limit to a black hole, which describes the BMPV black hole with the topology of the lens space L(2;1)=S^3/Z_2.
| 9.414054
| 6.892326
| 10.772446
| 8.035273
| 7.164254
| 7.796353
| 8.015593
| 8.19056
| 7.82146
| 12.268972
| 7.953803
| 8.312395
| 9.439059
| 8.594761
| 8.779142
| 8.213111
| 8.481061
| 8.25631
| 8.982506
| 9.700366
| 8.296445
|
0901.4962
|
Hyun Min Lee
|
Hyun Min Lee and Antonios Papazoglou
|
Codimension-2 brane inflation
|
38 pages, 1 figure, Journal version in Phys. Rev. D
|
Phys.Rev.D80:043506,2009
|
10.1103/PhysRevD.80.043506
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a probe codimension-2 brane inflation scenario in a warped
six-dimensional flux compactification. Our background model is Salam-Sezgin
gauged supergravity with codimension-2 brane sources, which preserve N=1
supersymmetry. The model has a modulus, which is stabilised by means of a cap
regularisation of the codimension-2 singularities, with appropriate dilaton
potentials on the ring interface of the caps with the bulk. We discuss the
cosmological evolution of the world-volume of a probe codimension-2 brane when
it moves along the radial direction of the internal space. In order to have
slow-roll inflation, one needs the warping of the internal space to be weak, in
contrast to the recent string inflation constructions with strong warping. We
discuss the parameter range that the inflation is in agreement with the
observationally inferred parameters and which furthermore is consistent with
the probe brane approximation. We provide arguments pointing that the probe
brane approximation is a good assumption if the probe brane is not exactly
conical and show with a multibrane solution that the mild warping needed for a
slow-roll inflation is not spoiled by the probe brane.
|
[
{
"created": "Fri, 30 Jan 2009 19:32:06 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Jul 2009 14:27:26 GMT",
"version": "v2"
}
] |
2009-09-02
|
[
[
"Lee",
"Hyun Min",
""
],
[
"Papazoglou",
"Antonios",
""
]
] |
We consider a probe codimension-2 brane inflation scenario in a warped six-dimensional flux compactification. Our background model is Salam-Sezgin gauged supergravity with codimension-2 brane sources, which preserve N=1 supersymmetry. The model has a modulus, which is stabilised by means of a cap regularisation of the codimension-2 singularities, with appropriate dilaton potentials on the ring interface of the caps with the bulk. We discuss the cosmological evolution of the world-volume of a probe codimension-2 brane when it moves along the radial direction of the internal space. In order to have slow-roll inflation, one needs the warping of the internal space to be weak, in contrast to the recent string inflation constructions with strong warping. We discuss the parameter range that the inflation is in agreement with the observationally inferred parameters and which furthermore is consistent with the probe brane approximation. We provide arguments pointing that the probe brane approximation is a good assumption if the probe brane is not exactly conical and show with a multibrane solution that the mild warping needed for a slow-roll inflation is not spoiled by the probe brane.
| 10.500484
| 10.66153
| 11.664607
| 10.306759
| 11.517166
| 10.846552
| 10.228803
| 10.25752
| 10.136921
| 11.70985
| 10.486386
| 10.158961
| 10.738143
| 10.306833
| 10.576903
| 10.366584
| 10.805414
| 10.38379
| 10.286813
| 10.987752
| 10.163236
|
hep-th/0603251
|
Youngone Lee
|
Jong-Geon Bu, Hyeong-Chan Kim, Youngone Lee, Chang Hyon Vac, and Jae
Hyung Yee
|
Noncommutative Field Theory from twisted Fock space
|
13 pages, 1 figure, minor changes, add references
|
Phys.Rev.D73:125001,2006
|
10.1103/PhysRevD.73.125001
| null |
hep-th
| null |
We construct a quantum field theory in noncommutative spacetime by twisting
the algebra of quantum operators (especially, creation and annihilation
operators) of the corresponding quantum field theory in commutative spacetime.
The twisted Fock space and S-matrix consistent with this algebra have been
constructed. The resultant S-matrix is consistent with that of Filk\cite{Filk}.
We find from this formulation that the spin-statistics relation is not violated
in the canonical noncommutative field theories.
|
[
{
"created": "Fri, 31 Mar 2006 08:22:22 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Apr 2006 04:52:47 GMT",
"version": "v2"
},
{
"created": "Sat, 3 Jun 2006 01:13:22 GMT",
"version": "v3"
}
] |
2009-09-29
|
[
[
"Bu",
"Jong-Geon",
""
],
[
"Kim",
"Hyeong-Chan",
""
],
[
"Lee",
"Youngone",
""
],
[
"Vac",
"Chang Hyon",
""
],
[
"Yee",
"Jae Hyung",
""
]
] |
We construct a quantum field theory in noncommutative spacetime by twisting the algebra of quantum operators (especially, creation and annihilation operators) of the corresponding quantum field theory in commutative spacetime. The twisted Fock space and S-matrix consistent with this algebra have been constructed. The resultant S-matrix is consistent with that of Filk\cite{Filk}. We find from this formulation that the spin-statistics relation is not violated in the canonical noncommutative field theories.
| 8.836707
| 8.761194
| 8.984749
| 8.650256
| 8.351928
| 8.554691
| 7.696
| 8.318481
| 8.281627
| 8.652604
| 8.208501
| 8.042234
| 8.498284
| 8.132086
| 8.293729
| 8.170355
| 8.468582
| 7.694611
| 8.301261
| 8.512725
| 8.04956
|
0812.2488
|
Senarath P. de Alwis
|
S.P. de Alwis
|
Heterotic Strings on Generalized Calabi-Yau Manifolds and Kaehler Moduli
Stabilization
|
9 pages
|
Phys.Lett.B675:377-380,2009
|
10.1016/j.physletb.2009.04.007
|
COLO-HEP-540
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Compactifications of heterotic string theory on Generalized Calabi-Yau
manifolds have been expected to give the same type of flexibility that type IIB
compactifications on Calabi-Yau orientifolds have. In this note we generalize
the work done on half-flat manifolds by other authors, to show how flux
quantization occurs in the general case, by starting with a basis of harmonic
forms and then extending it. However it turns out that only the axions
associated with the non-harmonic directions in the space of Kaehler moduli, can
be stabilized by the geometric (torsion) terms. Also we argue that there are no
supersymmetric extrema of the potential when the second (and fourth) cohomology
groups on the manifold are non-trivial. We suggest that threshold corrections
to the classical gauge coupling function could solve these problems.
|
[
{
"created": "Fri, 12 Dec 2008 21:35:49 GMT",
"version": "v1"
}
] |
2010-02-19
|
[
[
"de Alwis",
"S. P.",
""
]
] |
Compactifications of heterotic string theory on Generalized Calabi-Yau manifolds have been expected to give the same type of flexibility that type IIB compactifications on Calabi-Yau orientifolds have. In this note we generalize the work done on half-flat manifolds by other authors, to show how flux quantization occurs in the general case, by starting with a basis of harmonic forms and then extending it. However it turns out that only the axions associated with the non-harmonic directions in the space of Kaehler moduli, can be stabilized by the geometric (torsion) terms. Also we argue that there are no supersymmetric extrema of the potential when the second (and fourth) cohomology groups on the manifold are non-trivial. We suggest that threshold corrections to the classical gauge coupling function could solve these problems.
| 11.045687
| 10.842392
| 12.030968
| 10.466824
| 11.023637
| 10.438647
| 10.984944
| 10.459479
| 11.359842
| 12.852242
| 10.244772
| 10.706727
| 10.620568
| 10.297377
| 10.292872
| 9.811083
| 10.674527
| 10.668444
| 10.596
| 10.79985
| 10.361918
|
1406.3799
|
Dharm Veer Singh
|
Dharm Veer Singh and Sanjay Siwach
|
Fermion Fields in BTZ Black Hole Space-Time and Entanglement Entropy
|
17 pages, 4 figures, Journal Version
|
Advances in High Energy Physics, Volume 2015 (2015), Article ID
528762
|
10.1155/2015/528762
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the entanglement entropy of fermion fields in BTZ black hole
space-time and calculate pre- factor of the leading and sub-leading terms and
logarithmic divergence term of the entropy using the discretized model. The
leading term is the standard Bekenstein-Hawking area law and sub-leading term
corresponds to first quantum corrections in black hole entropy. We also
investigate the corrections to entanglement entropy for massive fermion fields
in BTZ space-time. The mass term does not affect the area law.
|
[
{
"created": "Sun, 15 Jun 2014 08:22:40 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Jul 2015 03:47:32 GMT",
"version": "v2"
},
{
"created": "Fri, 7 Aug 2015 07:43:47 GMT",
"version": "v3"
}
] |
2015-08-10
|
[
[
"Singh",
"Dharm Veer",
""
],
[
"Siwach",
"Sanjay",
""
]
] |
We study the entanglement entropy of fermion fields in BTZ black hole space-time and calculate pre- factor of the leading and sub-leading terms and logarithmic divergence term of the entropy using the discretized model. The leading term is the standard Bekenstein-Hawking area law and sub-leading term corresponds to first quantum corrections in black hole entropy. We also investigate the corrections to entanglement entropy for massive fermion fields in BTZ space-time. The mass term does not affect the area law.
| 8.313242
| 7.235556
| 7.618324
| 7.36925
| 7.435538
| 7.696827
| 7.113832
| 7.085755
| 7.221412
| 7.946626
| 7.504004
| 7.515255
| 7.57695
| 7.546775
| 7.514991
| 7.733535
| 7.651773
| 7.473461
| 7.55513
| 7.701308
| 7.658751
|
hep-th/0111211
|
Soon-Tae Hong
|
Soon-Tae Hong, Bum-Hoon Lee and Young-Jai Park
|
$CP^{1}$ model with Hopf term and fractional spin statistics
|
15 pages
|
Mod.Phys.Lett. A17 (2002) 103-114
|
10.1142/S0217732302006242
|
SOGANG-HEP 277/00
|
hep-th
| null |
We reconsider the $CP^{1}$ model with the Hopf term by using the
Batalin-Fradkin-Tyutin (BFT) scheme, which is an improved version of the Dirac
quantization method. We also perform a semi-classical quantization of the
topological charge Q sector by exploiting the collective coordinates to
explicitly show the fractional spin statistics.
|
[
{
"created": "Fri, 23 Nov 2001 01:26:26 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Hong",
"Soon-Tae",
""
],
[
"Lee",
"Bum-Hoon",
""
],
[
"Park",
"Young-Jai",
""
]
] |
We reconsider the $CP^{1}$ model with the Hopf term by using the Batalin-Fradkin-Tyutin (BFT) scheme, which is an improved version of the Dirac quantization method. We also perform a semi-classical quantization of the topological charge Q sector by exploiting the collective coordinates to explicitly show the fractional spin statistics.
| 12.64208
| 9.113572
| 12.869024
| 8.762809
| 9.020494
| 9.420887
| 8.369123
| 8.661525
| 8.475106
| 14.259496
| 8.124974
| 9.162695
| 11.353416
| 9.65494
| 9.473816
| 8.810325
| 9.576128
| 9.242444
| 9.437367
| 11.127903
| 9.370337
|
hep-th/0009194
|
Emil Nissimov
|
Emil Nissimov and Svetlana Pacheva
|
Gauging of Geometric Actions and Integrable Hierarchies of KP Type
|
LaTeX209, 47 pages
|
Int.J.Mod.Phys. A16 (2001) 2311-2364
|
10.1142/S0217751X01003573
|
INRNE-00-20
|
hep-th nlin.SI
| null |
This work consist of two interrelated parts. First, we derive massive
gauge-invariant generalizations of geometric actions on coadjoint orbits of
arbitrary (infinite-dimensional) groups $G$ with central extensions, with gauge
group $H$ being certain (infinite-dimensional) subgroup of $G$. We show that
there exist generalized ``zero-curvature'' representation of the pertinent
equations of motion on the coadjoint orbit. Second, in the special case of $G$
being Kac-Moody group the equations of motion of the underlying gauged WZNW
geometric action are identified as additional-symmetry flows of generalized
Drinfeld-Sokolov integrable hierarchies based on the loop algebra ${\hat \cG}$.
For ${\hat \cG} = {\hat {SL}}(M+R)$ the latter hiearchies are equivalent to a
class of constrained (reduced) KP hierarchies called ${\sl cKP}_{R,M}$, which
contain as special cases a series of well-known integrable systems (mKdV, AKNS,
Fordy-Kulish, Yajima-Oikawa etc.). We describe in some detail the loop algebras
of additional (non-isospectral) symmetries of ${\sl cKP}_{R,M}$ hierarchies.
Apart from gauged WZNW models, certain higher-dimensional nonlinear systems
such as Davey-Stewartson and $N$-wave resonant systems are also identified as
additional symmetry flows of ${\sl cKP}_{R,M}$ hierarchies. Along the way we
exhibit explicitly the interrelation between the Sato pseudo-differential
operator formulation and the algebraic (generalized) Drinfeld-Sokolov
formulation of ${\sl cKP}_{R,M}$ hierarchies. Also we present the explicit
derivation of the general Darboux-B\"acklund solutions of ${\sl cKP}_{R,M}$
preserving their additional (non-isospectral) symmetries, which for R=1 contain
among themselves solutions to the gauged $SL(M+1)/U(1)\times SL(M)$ WZNW field
equations.
|
[
{
"created": "Mon, 25 Sep 2000 16:10:33 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Nissimov",
"Emil",
""
],
[
"Pacheva",
"Svetlana",
""
]
] |
This work consist of two interrelated parts. First, we derive massive gauge-invariant generalizations of geometric actions on coadjoint orbits of arbitrary (infinite-dimensional) groups $G$ with central extensions, with gauge group $H$ being certain (infinite-dimensional) subgroup of $G$. We show that there exist generalized ``zero-curvature'' representation of the pertinent equations of motion on the coadjoint orbit. Second, in the special case of $G$ being Kac-Moody group the equations of motion of the underlying gauged WZNW geometric action are identified as additional-symmetry flows of generalized Drinfeld-Sokolov integrable hierarchies based on the loop algebra ${\hat \cG}$. For ${\hat \cG} = {\hat {SL}}(M+R)$ the latter hiearchies are equivalent to a class of constrained (reduced) KP hierarchies called ${\sl cKP}_{R,M}$, which contain as special cases a series of well-known integrable systems (mKdV, AKNS, Fordy-Kulish, Yajima-Oikawa etc.). We describe in some detail the loop algebras of additional (non-isospectral) symmetries of ${\sl cKP}_{R,M}$ hierarchies. Apart from gauged WZNW models, certain higher-dimensional nonlinear systems such as Davey-Stewartson and $N$-wave resonant systems are also identified as additional symmetry flows of ${\sl cKP}_{R,M}$ hierarchies. Along the way we exhibit explicitly the interrelation between the Sato pseudo-differential operator formulation and the algebraic (generalized) Drinfeld-Sokolov formulation of ${\sl cKP}_{R,M}$ hierarchies. Also we present the explicit derivation of the general Darboux-B\"acklund solutions of ${\sl cKP}_{R,M}$ preserving their additional (non-isospectral) symmetries, which for R=1 contain among themselves solutions to the gauged $SL(M+1)/U(1)\times SL(M)$ WZNW field equations.
| 6.651853
| 7.005722
| 8.016065
| 6.558595
| 7.083581
| 7.143911
| 7.017634
| 6.850183
| 6.597412
| 8.413331
| 6.523765
| 6.433744
| 6.89957
| 6.420022
| 6.37104
| 6.600196
| 6.384448
| 6.527573
| 6.479937
| 6.919482
| 6.497471
|
hep-th/9310155
|
Yuji Satou
|
Y. Kazama and Y. Satoh
|
Extraction of Black Hole Geometry in Exactly Quantized Two Dimensional
Dilaton Gravity
|
LATEX file 10 pages. UT-Komaba 93-13. 1 figure in postscript
|
Phys.Rev.D50:2368-2372,1994
|
10.1103/PhysRevD.50.R2368
| null |
hep-th
| null |
Based on our previous work, in which a model of two dimensional dilaton
gravity of the type proposed by Callan, Giddings, Harvey and Strominger was
rigorously quantized, we explicitly demonstrate how one can extract space-time
geometry in exactly solvable theory of quantum gravity. In particular, we have
been able to produce a prototypical configuration in which a ( smeared ) matter
shock wave generates a black hole without naked sigularity.
|
[
{
"created": "Sat, 23 Oct 1993 09:18:59 GMT",
"version": "v1"
}
] |
2009-12-30
|
[
[
"Kazama",
"Y.",
""
],
[
"Satoh",
"Y.",
""
]
] |
Based on our previous work, in which a model of two dimensional dilaton gravity of the type proposed by Callan, Giddings, Harvey and Strominger was rigorously quantized, we explicitly demonstrate how one can extract space-time geometry in exactly solvable theory of quantum gravity. In particular, we have been able to produce a prototypical configuration in which a ( smeared ) matter shock wave generates a black hole without naked sigularity.
| 16.14377
| 11.946915
| 14.981654
| 12.704954
| 12.987899
| 12.788525
| 12.529405
| 11.367217
| 12.043671
| 14.25295
| 12.274631
| 12.968919
| 14.908964
| 13.648841
| 13.242767
| 13.378092
| 13.092491
| 13.020462
| 13.558269
| 14.376313
| 13.722783
|
1210.6814
|
Anna Pachol
|
Stjepan Meljanac, Anna Pachol, Andjelo Samsarov, Kumar S. Gupta
|
Different realizations of kappa-momentum space and relative-locality
effect
|
12 pages; extended version of the paper published in Phys. Rev. D 87,
125009 (2013)
|
Phys. Rev. D 87, 125009 (2013)
|
10.1103/PhysRevD.87.125009
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider different realizations for the momentum sector of kappa-Poincare
Hopf algebra, which is associated with a curved momentum space. We show that
the notion of the particle mass as introduced recently by Amelino-Camelia et
al. in the context of relative-locality is realization independent for a wide
class of realizations, up to linear order in deformation parameter l. On the
other hand, the time delay formula clearly shows a dependence on the choice of
realization.
|
[
{
"created": "Thu, 25 Oct 2012 12:37:06 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Jun 2013 14:19:11 GMT",
"version": "v2"
}
] |
2013-06-19
|
[
[
"Meljanac",
"Stjepan",
""
],
[
"Pachol",
"Anna",
""
],
[
"Samsarov",
"Andjelo",
""
],
[
"Gupta",
"Kumar S.",
""
]
] |
We consider different realizations for the momentum sector of kappa-Poincare Hopf algebra, which is associated with a curved momentum space. We show that the notion of the particle mass as introduced recently by Amelino-Camelia et al. in the context of relative-locality is realization independent for a wide class of realizations, up to linear order in deformation parameter l. On the other hand, the time delay formula clearly shows a dependence on the choice of realization.
| 11.627131
| 8.826567
| 9.657845
| 9.253942
| 9.972589
| 9.532676
| 10.240327
| 9.362541
| 9.553136
| 10.785112
| 9.636916
| 9.723196
| 10.760307
| 9.781274
| 10.14985
| 10.5623
| 10.184755
| 9.886428
| 10.600158
| 10.438543
| 10.318962
|
hep-th/0002024
|
Sergei Klishevich
|
Sergei Klishevich (Serpukhov, IHEP)
|
Interactions of Massive Integer-Spin Fields
|
9 pages,LaTeX,Based on talk given at the International Workshop
"Supersymmetry and Quantum Symmetries", JINR, Dubna, Russia, July 26-31,1999
(to appear in Proceedings)
| null | null | null |
hep-th
| null |
We review the interactions of massive fields of arbitrary integer spins with
the constant electromagnetic field and symmetrical Einstein space in the gauge
invariant framework. The problem of obtaining the gauge-invariant Lagrangians
of integer spin fields in an external field is reduced to purely algebraic
problem of finding a set of operators with certain features using the
representation of the higher-spin fields in the form of vectors in a
pseudo-Hilbert space. Such a construction is considered up to the second order
for the electromagnetic field and at linear approximation for symmetrical
Einstein space. The results obtained are valid for space-time of arbitrary
dimensionality.
|
[
{
"created": "Thu, 3 Feb 2000 07:47:08 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Klishevich",
"Sergei",
"",
"Serpukhov, IHEP"
]
] |
We review the interactions of massive fields of arbitrary integer spins with the constant electromagnetic field and symmetrical Einstein space in the gauge invariant framework. The problem of obtaining the gauge-invariant Lagrangians of integer spin fields in an external field is reduced to purely algebraic problem of finding a set of operators with certain features using the representation of the higher-spin fields in the form of vectors in a pseudo-Hilbert space. Such a construction is considered up to the second order for the electromagnetic field and at linear approximation for symmetrical Einstein space. The results obtained are valid for space-time of arbitrary dimensionality.
| 11.601288
| 10.098347
| 12.34168
| 9.9278
| 9.728898
| 9.655497
| 9.340417
| 10.154233
| 9.42695
| 14.304665
| 10.976313
| 11.114323
| 11.517597
| 11.17285
| 11.214418
| 11.440032
| 10.911997
| 11.497331
| 10.496266
| 11.913974
| 10.851787
|
hep-th/0102056
|
Jianxin Lu
|
J. X. Lu (Univ. of Michigan)
|
(1 + p)-Dimensional Open D(p - 2) Brane Theories
|
35 pages, references added and discussion on decoupled field theories
refined
|
JHEP 0108:049,2001
|
10.1088/1126-6708/2001/08/049
|
MCTP-01-01
|
hep-th
| null |
The dynamics of a Dp brane can be described either by an open string ending
on this brane or by an open D(p - 2) brane ending on the same Dp brane. The
ends of the open string couple to a Dp brane worldvolume gauge field while the
boundary of the open D(p - 2) brane couples to a (p - 2)-form worldvolume
potential whose field strength is Poincare dual to that of the gauge field on
the Dp-brane worldvolume. With this in mind, we find that the Poincare dual of
the fixed rank-2 magnetic field used in defining a (1 + p)-dimensional
noncommutative Yang-Mills (NCYM) gives precisely a near-critical electric field
for the open D(p - 2) brane. We therefore find (1 + p)-dimensional open D(p -
2) brane theories along the same line as for obtaining noncommutative open
string theories (NCOS), OM theory and open Dp brane theories (ODp) from NS5
brane. Similarly, the Poincare dual of the near-critical electric field used in
defining a (1 + p)-dimensional NCOS gives a fixed magnetic-like field. This
field along with the same bulk field scalings defines a (1 + p)-dimensional
noncommutative field theory. In the same spirit, we can have various (1 +
5)-dimensional noncommutative field theories resulting from the existence of
ODp if the description of open D(4 - p) brane ending on the NS5 brane is
insisted.
|
[
{
"created": "Fri, 9 Feb 2001 22:51:55 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Mar 2001 22:44:59 GMT",
"version": "v2"
}
] |
2010-02-03
|
[
[
"Lu",
"J. X.",
"",
"Univ. of Michigan"
]
] |
The dynamics of a Dp brane can be described either by an open string ending on this brane or by an open D(p - 2) brane ending on the same Dp brane. The ends of the open string couple to a Dp brane worldvolume gauge field while the boundary of the open D(p - 2) brane couples to a (p - 2)-form worldvolume potential whose field strength is Poincare dual to that of the gauge field on the Dp-brane worldvolume. With this in mind, we find that the Poincare dual of the fixed rank-2 magnetic field used in defining a (1 + p)-dimensional noncommutative Yang-Mills (NCYM) gives precisely a near-critical electric field for the open D(p - 2) brane. We therefore find (1 + p)-dimensional open D(p - 2) brane theories along the same line as for obtaining noncommutative open string theories (NCOS), OM theory and open Dp brane theories (ODp) from NS5 brane. Similarly, the Poincare dual of the near-critical electric field used in defining a (1 + p)-dimensional NCOS gives a fixed magnetic-like field. This field along with the same bulk field scalings defines a (1 + p)-dimensional noncommutative field theory. In the same spirit, we can have various (1 + 5)-dimensional noncommutative field theories resulting from the existence of ODp if the description of open D(4 - p) brane ending on the NS5 brane is insisted.
| 6.456699
| 7.142704
| 7.491424
| 6.284515
| 6.77362
| 6.664423
| 6.302516
| 6.062078
| 6.411411
| 8.037945
| 6.222585
| 6.379512
| 6.732819
| 6.440461
| 6.58512
| 6.126084
| 6.453454
| 6.488684
| 6.404895
| 6.800598
| 6.233052
|
hep-th/0104247
|
Nathan Jacob Berkovits
|
Nathan Berkovits (IFT/UNESP, Sao Paulo)
|
Relating the RNS and Pure Spinor Formalisms for the Superstring
|
26 pages harvmac tex
|
JHEP 0108 (2001) 026
|
10.1088/1126-6708/2001/08/026
|
IFT-P.035/2001
|
hep-th
| null |
Recently, the superstring was covariantly quantized using the BRST-like
operator $Q = \oint \lambda^\alpha d_\alpha$ where $\lambda^\alpha$ is a pure
spinor and $d_\alpha$ are the fermionic Green-Schwarz constraints. By
performing a field redefinition and a similarity transformation, this BRST-like
operator is mapped to the sum of the Ramond-Neveu-Schwarz BRST operator and
$\eta_0$ ghost. This map is then used to relate physical vertex operators and
tree amplitudes in the two formalisms. Furthermore, the map implies the
existence of a $b$ ghost in the pure spinor formalism which might be useful for
loop amplitude computations.
|
[
{
"created": "Fri, 27 Apr 2001 18:18:41 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Berkovits",
"Nathan",
"",
"IFT/UNESP, Sao Paulo"
]
] |
Recently, the superstring was covariantly quantized using the BRST-like operator $Q = \oint \lambda^\alpha d_\alpha$ where $\lambda^\alpha$ is a pure spinor and $d_\alpha$ are the fermionic Green-Schwarz constraints. By performing a field redefinition and a similarity transformation, this BRST-like operator is mapped to the sum of the Ramond-Neveu-Schwarz BRST operator and $\eta_0$ ghost. This map is then used to relate physical vertex operators and tree amplitudes in the two formalisms. Furthermore, the map implies the existence of a $b$ ghost in the pure spinor formalism which might be useful for loop amplitude computations.
| 6.678566
| 5.029531
| 7.567105
| 5.383538
| 5.162154
| 4.881773
| 4.930317
| 5.054148
| 5.439292
| 7.706705
| 5.599164
| 5.791141
| 7.372476
| 5.977912
| 5.843612
| 5.771174
| 5.717451
| 6.04606
| 6.133633
| 7.125044
| 6.033605
|
0902.1427
|
Johan Gunnesson
|
Johan Gunnesson
|
Wrapping in maximally supersymmetric and marginally deformed N=4
Yang-Mills
|
17 pages, v2: minor corrections and references added, v3: new
discussion on odd L case, reference added, accepted by JHEP
|
JHEP 0904:130,2009
|
10.1088/1126-6708/2009/04/130
|
IFT-UAM/CSIC-09-06
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note we give evidence for an equality of the spectra, including
wrapping, of the SU(2)-sector spin chain for real deformations beta and
beta+1/L, in marginally beta-deformed N=4 Yang-Mills, which appears after
relaxing the cyclicity constraint. Evidence for the equality is given by
evaluating the first wrapping correction to the energy of the undeformed magnon
of momentum pi, and the beta=1/2, physical magnon, for several spin chain
lengths L. We also show that the term of maximal transcendentality coincides
for both magnons to all L. As a by-product we provide an expression for the
first wrapping correction to the beta = 1/2 single-magnon operator dimension,
valid for all even L. We then apply the symmetry to the magnon dispersion
relation of N=4, obtaining its first wrapping correction for a discrete set of
magnon momenta.
|
[
{
"created": "Mon, 9 Feb 2009 12:46:03 GMT",
"version": "v1"
},
{
"created": "Sun, 22 Feb 2009 12:57:15 GMT",
"version": "v2"
},
{
"created": "Thu, 30 Apr 2009 07:49:14 GMT",
"version": "v3"
}
] |
2010-01-15
|
[
[
"Gunnesson",
"Johan",
""
]
] |
In this note we give evidence for an equality of the spectra, including wrapping, of the SU(2)-sector spin chain for real deformations beta and beta+1/L, in marginally beta-deformed N=4 Yang-Mills, which appears after relaxing the cyclicity constraint. Evidence for the equality is given by evaluating the first wrapping correction to the energy of the undeformed magnon of momentum pi, and the beta=1/2, physical magnon, for several spin chain lengths L. We also show that the term of maximal transcendentality coincides for both magnons to all L. As a by-product we provide an expression for the first wrapping correction to the beta = 1/2 single-magnon operator dimension, valid for all even L. We then apply the symmetry to the magnon dispersion relation of N=4, obtaining its first wrapping correction for a discrete set of magnon momenta.
| 14.504349
| 14.560596
| 15.813504
| 12.740468
| 13.653937
| 13.244491
| 13.923821
| 14.443555
| 13.22718
| 16.08847
| 13.168454
| 12.837528
| 14.299471
| 13.52413
| 13.358261
| 13.287933
| 13.49516
| 13.032174
| 13.086103
| 14.676145
| 12.958851
|
1407.7580
|
Markus Rummel
|
Markus Rummel and Yoske Sumitomo
|
De Sitter Vacua from a D-term Generated Racetrack Uplift
|
20 pages, 1 figure
| null | null |
KEK-TH-1755
|
hep-th astro-ph.CO hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose an uplift mechanism using a structure of multi-K\"ahler moduli
dependence in the F-term potential of type IIB string theory compactifications.
This mechanism requires a D-term condition that fixes one modulus to be
proportional to another modulus, resulting in a trivial D-term potential. De
Sitter minima are realized along with an enhancement of the volume in the Large
Volume Scenario and no additional suppression of the uplift term such as
warping is required. We further show the possibility to realize the uplift
mechanism in the presence of more K\"ahler moduli such that we expect the
uplift mechanism to work in many other compactifications.
|
[
{
"created": "Mon, 28 Jul 2014 21:50:00 GMT",
"version": "v1"
}
] |
2014-08-04
|
[
[
"Rummel",
"Markus",
""
],
[
"Sumitomo",
"Yoske",
""
]
] |
We propose an uplift mechanism using a structure of multi-K\"ahler moduli dependence in the F-term potential of type IIB string theory compactifications. This mechanism requires a D-term condition that fixes one modulus to be proportional to another modulus, resulting in a trivial D-term potential. De Sitter minima are realized along with an enhancement of the volume in the Large Volume Scenario and no additional suppression of the uplift term such as warping is required. We further show the possibility to realize the uplift mechanism in the presence of more K\"ahler moduli such that we expect the uplift mechanism to work in many other compactifications.
| 13.970452
| 12.347072
| 13.923836
| 12.377285
| 12.755455
| 12.979228
| 14.297048
| 13.728477
| 12.446774
| 16.024334
| 11.595542
| 12.761043
| 11.756231
| 12.006242
| 12.045873
| 11.906817
| 11.640509
| 12.233838
| 11.890503
| 11.882434
| 12.162893
|
hep-th/9409186
|
Eric Bergshoeff
|
E. Bergshoeff, H.J. Boonstra and M. de Roo
|
On realizing the bosonic string as a noncritical $W_3$-string
|
12 pages, UG-7/94
|
Phys. Lett. B346 (1995) 269-274
|
10.1016/0370-2693(94)01694-8
| null |
hep-th
| null |
We discuss a realization of the bosonic string as a noncritical $W_3$-string.
The relevant noncritical $W_3$-string is characterized by a Liouville sector
which is restricted to a (non-unitary) $(3,2)$ $W_3$ minimal model with central
charge contribution $c_l = - 2$. Furthermore, the matter sector of this
$W_3$-string contains $26$ free scalars which realize a critical bosonic
string. The BRST operator for this $W_3$-string can be written as the sum of
two, mutually anticommuting, nilpotent BRST operators: $Q = Q_0 + Q_1$ in such
a way that the scalars which realize the bosonic string appear only in $Q_0$
while the central charge contribution of the fields present in $Q_1$ equals
zero. We argue that, in the simplest case that the Liouville sector is given by
the identity operator only, the $Q_1$-cohomology is given by a particular
(non-unitary) $(3,2)$ Virasoro minimal model at $c=0$.
|
[
{
"created": "Thu, 29 Sep 1994 16:36:07 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Bergshoeff",
"E.",
""
],
[
"Boonstra",
"H. J.",
""
],
[
"de Roo",
"M.",
""
]
] |
We discuss a realization of the bosonic string as a noncritical $W_3$-string. The relevant noncritical $W_3$-string is characterized by a Liouville sector which is restricted to a (non-unitary) $(3,2)$ $W_3$ minimal model with central charge contribution $c_l = - 2$. Furthermore, the matter sector of this $W_3$-string contains $26$ free scalars which realize a critical bosonic string. The BRST operator for this $W_3$-string can be written as the sum of two, mutually anticommuting, nilpotent BRST operators: $Q = Q_0 + Q_1$ in such a way that the scalars which realize the bosonic string appear only in $Q_0$ while the central charge contribution of the fields present in $Q_1$ equals zero. We argue that, in the simplest case that the Liouville sector is given by the identity operator only, the $Q_1$-cohomology is given by a particular (non-unitary) $(3,2)$ Virasoro minimal model at $c=0$.
| 5.517752
| 5.61795
| 5.900815
| 5.290145
| 5.685261
| 5.365803
| 5.459507
| 5.49381
| 5.531247
| 6.543501
| 5.259158
| 5.520864
| 5.534589
| 5.337172
| 5.366113
| 5.406391
| 5.492712
| 5.395285
| 5.446471
| 5.614952
| 5.344963
|
1412.0899
|
Matthias Berwein
|
Matthias Berwein
|
Power Divergences in Overlapping Wilson Lines
|
to be published in the proceedings of XIth Quark Confinement and the
Hadron Spectrum
| null | null | null |
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss the divergence structure of Wilson line operators with partially
overlapping segments on the basis of the cyclic Wilson loop as an explicit
example. The generalized exponentiation theorem is used to show the
exponentiation and factorization of power divergences for certain linear
combinations of associated loop functions.
|
[
{
"created": "Tue, 2 Dec 2014 13:08:22 GMT",
"version": "v1"
}
] |
2014-12-04
|
[
[
"Berwein",
"Matthias",
""
]
] |
We discuss the divergence structure of Wilson line operators with partially overlapping segments on the basis of the cyclic Wilson loop as an explicit example. The generalized exponentiation theorem is used to show the exponentiation and factorization of power divergences for certain linear combinations of associated loop functions.
| 31.458702
| 21.825085
| 19.512272
| 19.016092
| 21.502062
| 23.73926
| 17.209858
| 20.025105
| 18.699892
| 27.109211
| 19.107235
| 23.53562
| 21.713211
| 19.848761
| 22.663317
| 23.432014
| 20.938494
| 22.479027
| 21.862911
| 21.595064
| 22.199118
|
0905.1843
|
Oleg Evnin
|
Ben Craps, Frederik De Roo, Oleg Evnin and Federico Galli
|
p-branes on the waves
|
11 pages; v.2 minor notation changes, minor typos corrected
(published version)
|
JHEP 0907:058,2009
|
10.1088/1126-6708/2009/07/058
| null |
hep-th
|
http://creativecommons.org/licenses/by-nc-sa/3.0/
|
We present a large family of simple, explicit ten-dimensional supergravity
solutions describing extended extremal supersymmetric Ramond-Ramond p-branes
embedded into time-dependent dilaton-gravity plane waves of an arbitrary
(isotropic) profile, with the brane world-volume aligned parallel to the
propagation direction of the wave. Generalizations to the non-extremal case are
not analyzed explicitly, but can be pursued as indicated.
|
[
{
"created": "Tue, 12 May 2009 13:25:14 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Nov 2009 05:43:12 GMT",
"version": "v2"
}
] |
2009-11-20
|
[
[
"Craps",
"Ben",
""
],
[
"De Roo",
"Frederik",
""
],
[
"Evnin",
"Oleg",
""
],
[
"Galli",
"Federico",
""
]
] |
We present a large family of simple, explicit ten-dimensional supergravity solutions describing extended extremal supersymmetric Ramond-Ramond p-branes embedded into time-dependent dilaton-gravity plane waves of an arbitrary (isotropic) profile, with the brane world-volume aligned parallel to the propagation direction of the wave. Generalizations to the non-extremal case are not analyzed explicitly, but can be pursued as indicated.
| 19.648592
| 13.944895
| 18.347639
| 13.391191
| 14.322372
| 14.291997
| 14.414472
| 13.310858
| 13.510716
| 20.077215
| 13.347233
| 14.502575
| 15.64117
| 14.612592
| 13.837315
| 15.008719
| 14.614361
| 14.832355
| 15.244672
| 15.150573
| 15.120668
|
hep-th/0103104
|
Tatsuo Suzuki
|
Tatsuo Suzuki
|
Integrable Submodels of Nonlinear $\sigma$-models and Their
Generalization
|
Ph.D. Dissertation at Waseda University, 81 pages, LaTeX2e
| null | null | null |
hep-th
| null |
In this thesis, we investigate various integral submodels and generalize
them. In part I, we study the submodel of the nonlinear $\mathbf{C}P^1$-model
and the related submodels in $(1+2)$ dimensions. In part II, we construct
integrable submodels of the nonlinear Grassmann models in any dimension. We
call them the Grassmann submodels. To show that our submodels are integrable,
we construct an infinite number of conserved currents in two ways. One is that
we make full use of the Noether currents of the nonlinear Grassmann models. The
other is that we use a method of multiplier. Next we investigate symmetries of
the Grassmann submodel. By using the symmetries, we can construct a wide class
of exact solutions for our submodels. In part III, keeping some properties of
our submodels, we generalize our submodels to higher-order equations. First we
prepare the Bell polynomials and the generalized Bell polynomials which play
the most important roles in our theory of generalized submodels. Next we
generalize the $\mathbf{C}P^1$-submodel to higher-order equations. Lastly we
generalize the Grassmann submodel to higher-order equations. By using the
generalized Bell polynomials, we can show that the generalized Grassmann
submodels are also integrable. As a result, we obtain a hierarchy of systems of
integrable equations in any dimension which includes Grassmann submodels. These
results lead to the conclusion that the integrable structures of our
generalized submodels are closely related to some fundamental properties of the
Bell polynomials.
|
[
{
"created": "Wed, 14 Mar 2001 07:27:41 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Suzuki",
"Tatsuo",
""
]
] |
In this thesis, we investigate various integral submodels and generalize them. In part I, we study the submodel of the nonlinear $\mathbf{C}P^1$-model and the related submodels in $(1+2)$ dimensions. In part II, we construct integrable submodels of the nonlinear Grassmann models in any dimension. We call them the Grassmann submodels. To show that our submodels are integrable, we construct an infinite number of conserved currents in two ways. One is that we make full use of the Noether currents of the nonlinear Grassmann models. The other is that we use a method of multiplier. Next we investigate symmetries of the Grassmann submodel. By using the symmetries, we can construct a wide class of exact solutions for our submodels. In part III, keeping some properties of our submodels, we generalize our submodels to higher-order equations. First we prepare the Bell polynomials and the generalized Bell polynomials which play the most important roles in our theory of generalized submodels. Next we generalize the $\mathbf{C}P^1$-submodel to higher-order equations. Lastly we generalize the Grassmann submodel to higher-order equations. By using the generalized Bell polynomials, we can show that the generalized Grassmann submodels are also integrable. As a result, we obtain a hierarchy of systems of integrable equations in any dimension which includes Grassmann submodels. These results lead to the conclusion that the integrable structures of our generalized submodels are closely related to some fundamental properties of the Bell polynomials.
| 5.4981
| 5.944832
| 5.99545
| 5.48731
| 5.797536
| 5.716388
| 5.591053
| 5.401342
| 5.502204
| 6.476483
| 5.47188
| 5.481563
| 5.600126
| 5.416447
| 5.485481
| 5.43295
| 5.435112
| 5.377147
| 5.400674
| 5.621745
| 5.547049
|
hep-th/9406125
|
Paul Fendley
|
P. Fendley, H. Saleur and N.P. Warner
|
Exact solution of a massless scalar field with a relevant boundary
interaction
|
23 pages, USC-94-10
|
Nucl.Phys. B430 (1994) 577-596
|
10.1016/0550-3213(94)90160-0
| null |
hep-th
| null |
We solve exactly the "boundary sine-Gordon" system of a massless scalar field
\phi with a \cos[\beta\phi/2] potential at a boundary. This model has appeared
in several contexts, including tunneling between quantum-Hall edge states and
in dissipative quantum mechanics. For \beta^2 < 8\pi, this system exhibits a
boundary renormalization-group flow from Neumann to Dirichlet boundary
conditions. By taking the massless limit of the sine-Gordon model with boundary
potential, we find the exact S matrix for particles scattering off the
boundary. Using the thermodynamic Bethe ansatz, we calculate the boundary
entropy along the entire flow. We show how these particles correspond to wave
packets in the classical Klein-Gordon equation, thus giving a more precise
explanation of scattering in a massless theory.
|
[
{
"created": "Sat, 18 Jun 1994 16:14:18 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Fendley",
"P.",
""
],
[
"Saleur",
"H.",
""
],
[
"Warner",
"N. P.",
""
]
] |
We solve exactly the "boundary sine-Gordon" system of a massless scalar field \phi with a \cos[\beta\phi/2] potential at a boundary. This model has appeared in several contexts, including tunneling between quantum-Hall edge states and in dissipative quantum mechanics. For \beta^2 < 8\pi, this system exhibits a boundary renormalization-group flow from Neumann to Dirichlet boundary conditions. By taking the massless limit of the sine-Gordon model with boundary potential, we find the exact S matrix for particles scattering off the boundary. Using the thermodynamic Bethe ansatz, we calculate the boundary entropy along the entire flow. We show how these particles correspond to wave packets in the classical Klein-Gordon equation, thus giving a more precise explanation of scattering in a massless theory.
| 9.176092
| 8.520812
| 9.18141
| 7.752703
| 8.37928
| 8.248347
| 8.07238
| 8.24827
| 7.744414
| 10.948138
| 7.6532
| 8.357481
| 9.418493
| 8.143453
| 8.338384
| 8.114264
| 7.781977
| 8.626226
| 8.017753
| 9.593042
| 8.075217
|
1403.0389
|
Sudipto Paul Chowdhury
|
Sudipto Paul Chowdhury, Swarnendu Sarkar, B. Sathiapalan
|
BCS Instability and Finite Temperature Corrections to Tachyon Mass in
Intersecting D1-Branes
|
Article, 95 pages, 59 figures, improved numerics, added references
|
JHEP09 (2014) 057
|
10.1007/JHEP09(2014)063
| null |
hep-th cond-mat.supr-con
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A holographic description of BCS superconductivity is given in
arxiv:1104.2843. This model was constructed by insertion of a pair of D8-branes
on a D4-background. The spectrum of intersecting D8-branes has tachyonic modes
indicating an instability which is identified with the BCS instability in
superconductors. Our aim is to study the stability of the intersecting branes
under finite temperature effects. Many of the technical aspects of this problem
are captured by a simpler problem of two intersecting D1-branes on flat
background. In the simplified set-up we compute the one-loop finite temperature
corrections to the tree-level tachyon mass using the frame-work of SU(2)
Yang-Mills theory in (1 + 1)-dimensions. We show that the one-loop two-point
functions are ultraviolet finite due to cancellation of ultraviolet divergence
between the amplitudes containing bosons and fermions in the loop. The
amplitudes are found to be infrared divergent due to the presence of massless
fields in the loops. We compute the finite temperature mass correction to all
the massless fields and use these temperature dependent masses to compute the
tachyonic mass correction. We show numerically the existence of a transition
temperature at which the effective mass of the tree-level tachyons becomes
zero, thereby stabilizing the brane configuration.
|
[
{
"created": "Mon, 3 Mar 2014 11:09:12 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Sep 2014 13:24:26 GMT",
"version": "v2"
}
] |
2015-06-18
|
[
[
"Chowdhury",
"Sudipto Paul",
""
],
[
"Sarkar",
"Swarnendu",
""
],
[
"Sathiapalan",
"B.",
""
]
] |
A holographic description of BCS superconductivity is given in arxiv:1104.2843. This model was constructed by insertion of a pair of D8-branes on a D4-background. The spectrum of intersecting D8-branes has tachyonic modes indicating an instability which is identified with the BCS instability in superconductors. Our aim is to study the stability of the intersecting branes under finite temperature effects. Many of the technical aspects of this problem are captured by a simpler problem of two intersecting D1-branes on flat background. In the simplified set-up we compute the one-loop finite temperature corrections to the tree-level tachyon mass using the frame-work of SU(2) Yang-Mills theory in (1 + 1)-dimensions. We show that the one-loop two-point functions are ultraviolet finite due to cancellation of ultraviolet divergence between the amplitudes containing bosons and fermions in the loop. The amplitudes are found to be infrared divergent due to the presence of massless fields in the loops. We compute the finite temperature mass correction to all the massless fields and use these temperature dependent masses to compute the tachyonic mass correction. We show numerically the existence of a transition temperature at which the effective mass of the tree-level tachyons becomes zero, thereby stabilizing the brane configuration.
| 7.649411
| 7.513171
| 8.198853
| 7.426755
| 7.669275
| 7.435047
| 7.45438
| 7.274793
| 7.358392
| 8.804795
| 6.936209
| 7.296382
| 7.737311
| 7.418192
| 7.466571
| 7.330101
| 7.380551
| 7.288313
| 7.336626
| 7.443026
| 7.36986
|
1509.07854
|
Dmitri Gal'tsov
|
G\'erard Cl\'ement, Dmitri Gal'tsov and Mourad Guenouche
|
NUT wormholes
|
Journal version. New references added, discussion part slightly
modified
|
Phys. Rev. D 93 (2016) 024048
|
10.1103/PhysRevD.93.024048
|
LAPTH-047/15
|
hep-th astro-ph.HE gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that supercritically charged black holes with NUT provide a new
setting for traversable wormholes. This does not require exotic matter, a price
being the Misner string singularities. Without assuming time periodicity to
make Misner strings unobservable, we show that, contrary to expectations,
geodesics do not stop there. Moreover, since there is no central singularity
the space-time turns out to be geodesically complete. Another unpleasant
feature of spacetimes with NUTs is the presence of regions where the azimuthal
angle $\varphi$ becomes timelike, signalling the appearance of closed timelike
curves (CTCs). We show that among them there are no closed timelike or null
geodesics, so the freely falling observers should not encounter causality
violations. Considering worldlines of charged particles, we find that, although
these can become closed in the vicinity of the wormhole throat for large enough
charge-to-mass ratio, the non-causal orbits are still disconnected from the
distant zones. All these findings support our feeling that wormholes with NUTs
deserve to be taken seriously. Integrating the geodesic equations completely,
we demonstrate the existence of timelike and null geodesics connecting two
asymptotic regions of the wormhole, such that the tidal forces in the throat
are reasonably small. We discuss bounds on the NUT charge which follow from the
Schwinger pair creation and ionization thresholds and speculate that such NUT
wormholes could be present in some galactic centers.
|
[
{
"created": "Fri, 25 Sep 2015 19:42:29 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Feb 2016 19:01:09 GMT",
"version": "v2"
}
] |
2016-02-17
|
[
[
"Clément",
"Gérard",
""
],
[
"Gal'tsov",
"Dmitri",
""
],
[
"Guenouche",
"Mourad",
""
]
] |
We show that supercritically charged black holes with NUT provide a new setting for traversable wormholes. This does not require exotic matter, a price being the Misner string singularities. Without assuming time periodicity to make Misner strings unobservable, we show that, contrary to expectations, geodesics do not stop there. Moreover, since there is no central singularity the space-time turns out to be geodesically complete. Another unpleasant feature of spacetimes with NUTs is the presence of regions where the azimuthal angle $\varphi$ becomes timelike, signalling the appearance of closed timelike curves (CTCs). We show that among them there are no closed timelike or null geodesics, so the freely falling observers should not encounter causality violations. Considering worldlines of charged particles, we find that, although these can become closed in the vicinity of the wormhole throat for large enough charge-to-mass ratio, the non-causal orbits are still disconnected from the distant zones. All these findings support our feeling that wormholes with NUTs deserve to be taken seriously. Integrating the geodesic equations completely, we demonstrate the existence of timelike and null geodesics connecting two asymptotic regions of the wormhole, such that the tidal forces in the throat are reasonably small. We discuss bounds on the NUT charge which follow from the Schwinger pair creation and ionization thresholds and speculate that such NUT wormholes could be present in some galactic centers.
| 10.4709
| 10.952835
| 10.74297
| 10.515947
| 11.67541
| 11.140265
| 11.52238
| 10.972006
| 10.800055
| 11.28353
| 10.558821
| 10.350062
| 10.248974
| 10.04132
| 10.068346
| 10.424277
| 10.165603
| 10.249556
| 10.299994
| 10.097224
| 10.342154
|
2402.16172
|
Tomer Hadad
|
Tomer Hadad, Barak Kol, Michael Smolkin
|
Gravito-magnetic Polarization of Schwarzschild Black Hole
| null | null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We determine the gravito-magnetic Love numbers of non-rotating black holes in
all spacetime dimensions through a novel and direct derivation. The Ishibashi-
Kodama master field and its associated field equation are avoided. The matching
to the EFT variables is simple. This method allows us to correct the values in
the literature. Moreover, we highlight a parity-based selection rule for
nonlinear terms that include both electric-type and magnetic-type gravitational
field tensors, enabling us to conclude that many of the nonlinear response
coefficients in the Schwarzschild black hole effective action vanish.
|
[
{
"created": "Sun, 25 Feb 2024 18:52:34 GMT",
"version": "v1"
},
{
"created": "Sun, 12 May 2024 13:17:15 GMT",
"version": "v2"
}
] |
2024-05-14
|
[
[
"Hadad",
"Tomer",
""
],
[
"Kol",
"Barak",
""
],
[
"Smolkin",
"Michael",
""
]
] |
We determine the gravito-magnetic Love numbers of non-rotating black holes in all spacetime dimensions through a novel and direct derivation. The Ishibashi- Kodama master field and its associated field equation are avoided. The matching to the EFT variables is simple. This method allows us to correct the values in the literature. Moreover, we highlight a parity-based selection rule for nonlinear terms that include both electric-type and magnetic-type gravitational field tensors, enabling us to conclude that many of the nonlinear response coefficients in the Schwarzschild black hole effective action vanish.
| 22.917953
| 24.344921
| 22.804539
| 21.464481
| 22.016756
| 21.77343
| 25.016098
| 19.3402
| 22.004419
| 25.897373
| 21.572531
| 23.266428
| 22.332954
| 22.42836
| 22.42057
| 22.353703
| 23.381132
| 21.510122
| 23.667261
| 20.825432
| 22.74892
|
hep-th/9901060
|
Antoine Van Proeyen
|
Ben Craps, Joaquim Gomis, David Mateos and Antoine Van Proeyen
|
BPS solutions of a D5-brane worldvolume in a D3-brane background from
superalgebras
|
20 pages, Latex2e; typos corrected
|
JHEP 9904:004,1999
|
10.1088/1126-6708/1999/04/004
|
UB-ECM-PF-99/01; KUL-TF-99/5; UTTG-01-99
|
hep-th
| null |
The BPS method is used to find BPS solutions of the worldvolume theory of a
D5-brane in the near horizon geometry of a D3-brane. The BPS bound is
interpreted in terms of the `maximally extended' D5 worldvolume supersymmetry
algebra in the corresponding curved background, which is OSp(1|16). This
algebra is an extension of the worldvolume superalgebra OSp(4^*|4). The
analysis is generalized to the non-near horizon case.
|
[
{
"created": "Sat, 16 Jan 1999 00:09:23 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Apr 1999 12:56:20 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Craps",
"Ben",
""
],
[
"Gomis",
"Joaquim",
""
],
[
"Mateos",
"David",
""
],
[
"Van Proeyen",
"Antoine",
""
]
] |
The BPS method is used to find BPS solutions of the worldvolume theory of a D5-brane in the near horizon geometry of a D3-brane. The BPS bound is interpreted in terms of the `maximally extended' D5 worldvolume supersymmetry algebra in the corresponding curved background, which is OSp(1|16). This algebra is an extension of the worldvolume superalgebra OSp(4^*|4). The analysis is generalized to the non-near horizon case.
| 8.000578
| 7.657666
| 8.863059
| 6.868864
| 7.153687
| 6.882829
| 7.11484
| 6.767152
| 6.872583
| 8.513195
| 6.598914
| 6.733312
| 7.852341
| 6.951278
| 6.875668
| 7.097883
| 6.609873
| 6.990263
| 7.027561
| 7.536127
| 6.883264
|
1602.05283
|
Robert Delbourgo
|
Robert Delbourgo
|
The Force and Gravity of Events
|
Invited talk, Salam Memorial Conference, Nanyang Technical
University, Singapore, January 2016. Will appear in the conference
proceedings as two separate contributions
| null |
10.1142/S0217732316300159
| null |
hep-th physics.hist-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Local events are characterized by "where", "when" and "what". Just as
(bosonic) spacetime forms the backdrop for location and time, (fermionic)
property space can serve as the backdrop for the attributes of a system. With
such a scenario I shall describe a scheme that is capable of unifying
gravitation and the other forces of nature. The generalized metric contains the
curvature of spacetime and property separately, with the gauge fields linking
the bosonic and fermionic arenas. The super-Ricci scalar can then automatically
yield the spacetime Lagrangian of gravitation and the standard model (plus a
cosmological constant) upon integration over property coordinates.
|
[
{
"created": "Wed, 17 Feb 2016 03:09:29 GMT",
"version": "v1"
}
] |
2016-06-22
|
[
[
"Delbourgo",
"Robert",
""
]
] |
Local events are characterized by "where", "when" and "what". Just as (bosonic) spacetime forms the backdrop for location and time, (fermionic) property space can serve as the backdrop for the attributes of a system. With such a scenario I shall describe a scheme that is capable of unifying gravitation and the other forces of nature. The generalized metric contains the curvature of spacetime and property separately, with the gauge fields linking the bosonic and fermionic arenas. The super-Ricci scalar can then automatically yield the spacetime Lagrangian of gravitation and the standard model (plus a cosmological constant) upon integration over property coordinates.
| 16.198366
| 16.023846
| 15.525789
| 14.388009
| 16.446419
| 17.795597
| 16.386536
| 17.341166
| 15.210947
| 18.561737
| 16.610348
| 14.636584
| 14.710656
| 14.102021
| 14.641331
| 14.536372
| 14.839755
| 14.543014
| 14.337296
| 14.928777
| 15.244399
|
hep-th/0103193
|
Oriol Pujolas
|
Oriol Pujolas
|
Effective potential in Brane-World scenarios
|
11 pages, 1 figure. To appear in the proceedings of the 5th Peyresq
meeting. References and notes added
|
Int.J.Theor.Phys. 40 (2001) 2131-2142
| null |
UAB-FT 504
|
hep-th
| null |
We review the stabilization of the radion in the Randall-Sundrum model
through the Casimir energy due to a bulk conformally coupled field. We also
show some exact self-consistent solutions taking into account the backreaction
that this energy induces on the geometry.
|
[
{
"created": "Thu, 22 Mar 2001 17:52:26 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Apr 2001 16:13:45 GMT",
"version": "v2"
}
] |
2009-09-25
|
[
[
"Pujolas",
"Oriol",
""
]
] |
We review the stabilization of the radion in the Randall-Sundrum model through the Casimir energy due to a bulk conformally coupled field. We also show some exact self-consistent solutions taking into account the backreaction that this energy induces on the geometry.
| 12.002041
| 8.404016
| 8.057916
| 7.930476
| 8.434295
| 8.980754
| 8.18245
| 8.274904
| 8.134624
| 8.392424
| 8.458121
| 8.928037
| 8.809037
| 8.531099
| 8.95493
| 8.588724
| 9.1409
| 8.749451
| 8.990008
| 9.020697
| 8.87921
|
1904.05915
|
Karapet Mkrtchyan
|
Euihun Joung, Karapet Mkrtchyan and Gabriel Poghosyan
|
Looking for partially-massless gravity
|
47 pages, journal version with minor corrections
| null |
10.1007/JHEP07(2019)116
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the possibility for a unitary theory of partially-massless (PM)
spin-two field interacting with Gravity in arbitrary dimensions. We show that
the gauge and parity invariant interaction of PM spin two particles requires
the inclusion of specific massive spin-two fields and leads to a reconstruction
of Conformal Gravity, or multiple copies of the latter in even dimensions. By
relaxing the parity invariance, we find a possibility of a unitary theory in
four dimensions, but this theory cannot be constructed in the standard
formulation, due to the absence of the parity-odd cubic vertex therein.
Finally, by relaxing the general covariance, we show that a `non-geometric'
coupling between massless and PM spin-two fields may lead to an alternative
possibility of a unitary theory. We also clarify some aspects of interactions
between massless, partially-massless and massive fields, and resolve
disagreements in the literature.
|
[
{
"created": "Thu, 11 Apr 2019 18:25:30 GMT",
"version": "v1"
},
{
"created": "Sun, 28 Jul 2019 21:35:53 GMT",
"version": "v2"
}
] |
2019-09-04
|
[
[
"Joung",
"Euihun",
""
],
[
"Mkrtchyan",
"Karapet",
""
],
[
"Poghosyan",
"Gabriel",
""
]
] |
We study the possibility for a unitary theory of partially-massless (PM) spin-two field interacting with Gravity in arbitrary dimensions. We show that the gauge and parity invariant interaction of PM spin two particles requires the inclusion of specific massive spin-two fields and leads to a reconstruction of Conformal Gravity, or multiple copies of the latter in even dimensions. By relaxing the parity invariance, we find a possibility of a unitary theory in four dimensions, but this theory cannot be constructed in the standard formulation, due to the absence of the parity-odd cubic vertex therein. Finally, by relaxing the general covariance, we show that a `non-geometric' coupling between massless and PM spin-two fields may lead to an alternative possibility of a unitary theory. We also clarify some aspects of interactions between massless, partially-massless and massive fields, and resolve disagreements in the literature.
| 10.223126
| 9.795294
| 10.77809
| 9.453729
| 9.757487
| 9.412859
| 9.37414
| 9.500921
| 9.585047
| 11.888333
| 9.770082
| 9.631739
| 10.081029
| 9.943192
| 9.428014
| 9.851903
| 9.722793
| 9.612475
| 10.009165
| 10.005141
| 9.483719
|
hep-th/0607176
|
Stefano De Leo
|
Stefano De Leo and Pietro Rotelli
|
Barrier Paradox in the Klein Zone
|
10 pages
| null |
10.1103/PhysRevA.73.042107
| null |
hep-th
| null |
We study the solutions for a one-dimensional electrostatic potential in the
Dirac equation when the incoming wave packet exhibits the Klein paradox (pair
production). With a barrier potential we demonstrate the existence of multiple
reflections (and transmissions). The antiparticle solutions which are
necessarily localized within the barrier region create new pairs with each
reflection at the potential walls. Consequently we encounter a new paradox for
the barrier because successive outgoing wave amplitudes grow geometrically.
|
[
{
"created": "Mon, 24 Jul 2006 12:02:23 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"De Leo",
"Stefano",
""
],
[
"Rotelli",
"Pietro",
""
]
] |
We study the solutions for a one-dimensional electrostatic potential in the Dirac equation when the incoming wave packet exhibits the Klein paradox (pair production). With a barrier potential we demonstrate the existence of multiple reflections (and transmissions). The antiparticle solutions which are necessarily localized within the barrier region create new pairs with each reflection at the potential walls. Consequently we encounter a new paradox for the barrier because successive outgoing wave amplitudes grow geometrically.
| 26.95208
| 32.56789
| 25.516281
| 25.945389
| 29.855818
| 29.912525
| 30.229811
| 25.554111
| 24.870995
| 26.813318
| 25.584953
| 27.357069
| 27.185814
| 26.499063
| 26.267834
| 26.945585
| 27.004797
| 25.076466
| 26.81362
| 26.893911
| 25.620621
|
hep-th/9112076
| null |
C.N. Pope
|
Lectures on W algebras and W gravity
|
41 pages. This paper is based on a set of lectures given at the
Trieste Summer School in High-Energy Physics, August 1991
| null | null | null |
hep-th
| null |
We give a review of the extended conformal algebras, known as $W$ algebras,
which contain currents of spins higher than 2 in addition to the
energy-momentum tensor. These include the non-linear $W_N$ algebras; the linear
$W_\infty$ and $W_{1+\infty}$ algebras; and their super-extensions. We discuss
their applications to the construction of $W$-gravity and $W$-string theories.
|
[
{
"created": "Tue, 31 Dec 1991 18:22:14 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Pope",
"C. N.",
""
]
] |
We give a review of the extended conformal algebras, known as $W$ algebras, which contain currents of spins higher than 2 in addition to the energy-momentum tensor. These include the non-linear $W_N$ algebras; the linear $W_\infty$ and $W_{1+\infty}$ algebras; and their super-extensions. We discuss their applications to the construction of $W$-gravity and $W$-string theories.
| 4.106213
| 3.846726
| 4.2784
| 3.612305
| 4.061136
| 3.829373
| 3.962426
| 3.839472
| 3.693055
| 4.584543
| 3.519691
| 3.516474
| 4.216258
| 3.684373
| 3.609964
| 3.585698
| 3.660413
| 3.569248
| 3.656301
| 3.928571
| 3.555828
|
1508.06475
|
Wen-Jian Pan
|
Wen-Jian Pan and Yong-Chang Huang
|
Bouncing universe with modified dispersion relation
|
15pages, no figures, Typos corrected, an appendix added, some
discussions and references added; 16pages, no figures, presentation improved;
published in General Relativity and Gravitation
|
Gen Relativ Gravit (2016) 48:144
|
10.1007/s10714-016-2138-y
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, employing the modified dispersion relation, we have derived
the general modified Friedmann equations and the corresponding modified entropy
relations for the Friedmann-Robertson-Walker (FRW) Universe. In this setup, we
find that when the big bounce happens, its energy scale and its corresponding
modified entropy behavior are sensitive to the value of $k$. In contrast to the
previous work with $k=0$, our work mainly demonstrates that the bouncing
behavior for the closed Universe with $k=1$ appears at the normal energy limit
of the modified dispersion relation introduced, and when bouncing phenomenon is
in presence, its modified entropy is just equal to zero. Surprisingly, when
$k=-1$, the bouncing behavior is in absence.
|
[
{
"created": "Wed, 26 Aug 2015 12:52:27 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Sep 2015 13:24:27 GMT",
"version": "v2"
},
{
"created": "Mon, 10 Oct 2016 14:45:11 GMT",
"version": "v3"
}
] |
2016-10-11
|
[
[
"Pan",
"Wen-Jian",
""
],
[
"Huang",
"Yong-Chang",
""
]
] |
In this paper, employing the modified dispersion relation, we have derived the general modified Friedmann equations and the corresponding modified entropy relations for the Friedmann-Robertson-Walker (FRW) Universe. In this setup, we find that when the big bounce happens, its energy scale and its corresponding modified entropy behavior are sensitive to the value of $k$. In contrast to the previous work with $k=0$, our work mainly demonstrates that the bouncing behavior for the closed Universe with $k=1$ appears at the normal energy limit of the modified dispersion relation introduced, and when bouncing phenomenon is in presence, its modified entropy is just equal to zero. Surprisingly, when $k=-1$, the bouncing behavior is in absence.
| 11.986398
| 11.990992
| 9.983394
| 10.166689
| 10.850551
| 11.069538
| 10.587128
| 10.274922
| 11.492669
| 11.437404
| 10.389169
| 10.659119
| 10.198175
| 10.505836
| 10.482427
| 10.242371
| 10.494645
| 9.678159
| 10.416857
| 10.395452
| 10.438907
|
hep-th/9305164
| null |
P. Menotti and D. Seminara
|
Stationary Solutions and Closed Time-Like Curve in 2+1 Dimensional
Gravity
|
29 pages, REVTEX 3.0, IFUP-TH 18/93
|
Nucl.Phys. B419 (1994) 189-210
|
10.1016/0550-3213(94)90362-X
| null |
hep-th gr-qc
| null |
We give the general solution of the stationary problem of 2+1 dimensional
gravity in presence of extended sources, also endowed with angular momentum. We
solve explicitly the compact support property of the energy momentum tensor and
we apply the results to the study of closed time-like curves. In the case of
rotational symmetry we prove that the weak energy condition combined with the
absence of closed time-like curves at space infinity prevents the existence of
closed time-like curves everywhere in an open universe (conical space at
infinity).
|
[
{
"created": "Fri, 28 May 1993 18:05:00 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Menotti",
"P.",
""
],
[
"Seminara",
"D.",
""
]
] |
We give the general solution of the stationary problem of 2+1 dimensional gravity in presence of extended sources, also endowed with angular momentum. We solve explicitly the compact support property of the energy momentum tensor and we apply the results to the study of closed time-like curves. In the case of rotational symmetry we prove that the weak energy condition combined with the absence of closed time-like curves at space infinity prevents the existence of closed time-like curves everywhere in an open universe (conical space at infinity).
| 12.696766
| 10.452559
| 10.69429
| 10.123569
| 10.652003
| 12.174358
| 10.343629
| 9.9224
| 12.04055
| 12.772817
| 10.702621
| 10.949657
| 11.942719
| 11.68859
| 11.855192
| 11.584291
| 11.230373
| 11.395198
| 11.110851
| 12.633185
| 11.33221
|
hep-th/9611040
|
Dr N. Mavromatos
|
F. Lizzi and N.E. Mavromatos
|
Quantum Phase Space from String Solitons
|
32 pages LATEX, correction of a minor typo in formula (88)
|
Phys.Rev. D55 (1997) 7859-7871
|
10.1103/PhysRevD.55.7859
|
OUTP-96-66P
|
hep-th gr-qc quant-ph
| null |
In this paper we view the sigma-model couplings of appropriate vertex
operators describing the interaction of string matter with a certain type of
string solitons (0-branes) as the quantum phase space of a point particle. The
sigma-model is slightly non critical, and therefore one should dress it with a
Liouville mode. Quantization is achieved by summing over world-sheet genera (in
the pinched approximation). To leading order in the coupling constant
expansion, the quantization reproduces the usual quantum mechanical commutator.
We attempt to go beyond leading order and we reproduce the generalized string
uncertainty principle.
|
[
{
"created": "Thu, 7 Nov 1996 00:50:50 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Nov 1996 10:56:13 GMT",
"version": "v2"
}
] |
2016-09-06
|
[
[
"Lizzi",
"F.",
""
],
[
"Mavromatos",
"N. E.",
""
]
] |
In this paper we view the sigma-model couplings of appropriate vertex operators describing the interaction of string matter with a certain type of string solitons (0-branes) as the quantum phase space of a point particle. The sigma-model is slightly non critical, and therefore one should dress it with a Liouville mode. Quantization is achieved by summing over world-sheet genera (in the pinched approximation). To leading order in the coupling constant expansion, the quantization reproduces the usual quantum mechanical commutator. We attempt to go beyond leading order and we reproduce the generalized string uncertainty principle.
| 17.07271
| 16.676386
| 17.021769
| 16.409922
| 16.579491
| 17.537451
| 16.684093
| 15.356416
| 14.982695
| 18.606571
| 16.187403
| 16.845951
| 16.509556
| 15.891973
| 17.471245
| 17.028044
| 16.976131
| 16.938398
| 16.00898
| 17.112549
| 16.456926
|
0704.0729
|
David Kastor
|
David Kastor, Sourya Ray and Jennie Traschen
|
The First Law for Boosted Kaluza-Klein Black Holes
|
20 pages, 0 figures; v2 - reference added
|
JHEP 0706:026,2007
|
10.1088/1126-6708/2007/06/026
| null |
hep-th
| null |
We study the thermodynamics of Kaluza-Klein black holes with momentum along
the compact dimension, but vanishing angular momentum. These black holes are
stationary, but non-rotating. We derive the first law for these spacetimes and
find that the parameter conjugate to variations in the length of the compact
direction is an effective tension, which generally differs from the ADM
tension. For the boosted black string, this effective tension is always
positive, while the ADM tension is negative for large boost parameter. We also
derive two Smarr formulas, one that follows from time translation invariance,
and a second one that holds only in the case of exact translation symmetry in
the compact dimension. Finally, we show that the `tension first law' derived by
Traschen and Fox in the static case has the form of a thermodynamic Gibbs-Duhem
relation and give its extension in the stationary, non-rotating case.
|
[
{
"created": "Thu, 5 Apr 2007 14:09:37 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Apr 2007 15:42:25 GMT",
"version": "v2"
}
] |
2009-11-13
|
[
[
"Kastor",
"David",
""
],
[
"Ray",
"Sourya",
""
],
[
"Traschen",
"Jennie",
""
]
] |
We study the thermodynamics of Kaluza-Klein black holes with momentum along the compact dimension, but vanishing angular momentum. These black holes are stationary, but non-rotating. We derive the first law for these spacetimes and find that the parameter conjugate to variations in the length of the compact direction is an effective tension, which generally differs from the ADM tension. For the boosted black string, this effective tension is always positive, while the ADM tension is negative for large boost parameter. We also derive two Smarr formulas, one that follows from time translation invariance, and a second one that holds only in the case of exact translation symmetry in the compact dimension. Finally, we show that the `tension first law' derived by Traschen and Fox in the static case has the form of a thermodynamic Gibbs-Duhem relation and give its extension in the stationary, non-rotating case.
| 6.896671
| 7.0025
| 7.296517
| 6.891352
| 7.060709
| 7.060658
| 7.039604
| 6.89052
| 7.273349
| 7.677031
| 6.443669
| 6.704072
| 6.98184
| 6.646863
| 6.965151
| 6.530772
| 6.810041
| 6.644986
| 6.758258
| 7.094855
| 6.848159
|
2109.00597
|
Robert Penna
|
Robert F. Penna
|
A Lax Operator for $d=2$ $N=2$ Supergravity
|
23 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
General relativity and supergravity become integrable systems after
dimensional reduction to two spacetime dimensions. This means the equations of
motion can be encoded in the flatness condition for a Lax operator. Nicolai and
Warner found Lax operators for dimensionally reduced supergravity. They gave
explicit formulas primarily for the case with $N=16$ supersymmetry in two
dimensions (which corresponds to $N=8$ supergravity in four dimensions). In
this note, we derive analogous results for the case with $N=2$ supersymmetry in
two dimensions (which corresponds to $N=1$ supergravity in four dimensions).
This is the simplest example of the general fact that supergravity becomes an
integrable system after dimensional reduction to two dimensions.
|
[
{
"created": "Wed, 1 Sep 2021 20:07:00 GMT",
"version": "v1"
}
] |
2021-09-03
|
[
[
"Penna",
"Robert F.",
""
]
] |
General relativity and supergravity become integrable systems after dimensional reduction to two spacetime dimensions. This means the equations of motion can be encoded in the flatness condition for a Lax operator. Nicolai and Warner found Lax operators for dimensionally reduced supergravity. They gave explicit formulas primarily for the case with $N=16$ supersymmetry in two dimensions (which corresponds to $N=8$ supergravity in four dimensions). In this note, we derive analogous results for the case with $N=2$ supersymmetry in two dimensions (which corresponds to $N=1$ supergravity in four dimensions). This is the simplest example of the general fact that supergravity becomes an integrable system after dimensional reduction to two dimensions.
| 5.241027
| 4.785218
| 4.945686
| 4.643345
| 5.027881
| 5.125101
| 5.233279
| 4.540812
| 4.651249
| 5.163359
| 4.671914
| 4.466946
| 4.846108
| 4.628322
| 4.632317
| 4.743455
| 4.655218
| 4.672793
| 4.614467
| 4.754081
| 4.581819
|
1209.3552
|
Joshua Powell
|
Joshua W. Powell
|
Scaling Dimensions in AdS/QCD and the Gluon Field Strength Propagator
|
10 pages, 3 figures
|
Phys. Rev. D 88, 065001 (2013)
|
10.1103/PhysRevD.88.065001
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive the scaling dimension of antisymmetric tensor operators in the
boundary theory of the AdS/CFT correspondence using a functional integral
representation of the boundary-to-boundary propagators of their dual fields in
the bulk. We then apply this technique to AdS/QCD in which the bulk metric is
warped, resulting in non-constant scaling dimensions. In particular, we compute
the two-point correlation function of gluon field strength operators, for which
it is prerequisite to know the ow of the anomalous scaling dimension under
rescaling. The results are in very good agreement with quenched lattice QCD
data, thus confirming the functional form of the scaling dimension.
|
[
{
"created": "Mon, 17 Sep 2012 04:56:34 GMT",
"version": "v1"
},
{
"created": "Sat, 17 Aug 2013 17:27:59 GMT",
"version": "v2"
},
{
"created": "Sat, 7 Sep 2013 22:18:42 GMT",
"version": "v3"
}
] |
2013-09-10
|
[
[
"Powell",
"Joshua W.",
""
]
] |
We derive the scaling dimension of antisymmetric tensor operators in the boundary theory of the AdS/CFT correspondence using a functional integral representation of the boundary-to-boundary propagators of their dual fields in the bulk. We then apply this technique to AdS/QCD in which the bulk metric is warped, resulting in non-constant scaling dimensions. In particular, we compute the two-point correlation function of gluon field strength operators, for which it is prerequisite to know the ow of the anomalous scaling dimension under rescaling. The results are in very good agreement with quenched lattice QCD data, thus confirming the functional form of the scaling dimension.
| 10.558434
| 11.057818
| 11.020499
| 10.228234
| 12.233637
| 11.813823
| 11.257248
| 12.334311
| 10.385656
| 11.396892
| 10.481125
| 10.560596
| 10.238938
| 10.203515
| 10.611476
| 10.804598
| 10.813594
| 10.582142
| 9.846239
| 10.399932
| 9.918897
|
0801.0115
|
Anatoly Shabad
|
A.E. Shabad (1) and V.V. Usov (2) (1) (P.N. Lebedev Physics Institute,
Moscow, Russia) (2) (Center for Astrophysics, Weizmann Institute of Science,
Rehovot, Israel)
|
String-Like Electrostatic Interaction from QED with Infinite Magnetic
Field
|
Talk at 13th Lomonosov Conf. on Elementary Particle Physics, Moscow
State Univers., Moscow, August 23-29, 2007. To be published in Proceedings,
edited by A.Studenikin, World Scientific, Singapore. 5 pp, 2 figs., LATEX
requires 13lomcon.sty, cite.sty
|
in: "Particle Physics on the Eve of LHC" (Proc. of the 13th
Lomonosov Conference on Elementary Particle Physics, Moscow, August 2007),
ed. by A.Studenikin, World Scientific, Singapore, p. 392, 2009
| null | null |
hep-th astro-ph hep-lat physics.atom-ph
| null |
In the limit of infinite external magnetic field B the static field of an
electric charge is squeezed into a string parallel to B. Near the charge the
potential grows like |x_3|(ln |x_3| + const) with the coordinate x_3 along the
string. The energy of the string breaking is finite and very close to the
effective photon mass.
|
[
{
"created": "Sun, 30 Dec 2007 09:30:18 GMT",
"version": "v1"
}
] |
2011-02-11
|
[
[
"Shabad",
"A. E.",
""
],
[
"Usov",
"V. V.",
""
]
] |
In the limit of infinite external magnetic field B the static field of an electric charge is squeezed into a string parallel to B. Near the charge the potential grows like |x_3|(ln |x_3| + const) with the coordinate x_3 along the string. The energy of the string breaking is finite and very close to the effective photon mass.
| 14.823292
| 13.480465
| 12.36904
| 11.85492
| 11.989902
| 11.23394
| 12.704823
| 11.499348
| 10.45726
| 13.485159
| 11.151052
| 11.226404
| 11.597631
| 11.260281
| 11.296513
| 11.813206
| 11.180574
| 11.045392
| 11.417054
| 11.904192
| 11.157381
|
2003.03921
|
Giulia Gubitosi
|
Angel Ballesteros, Giulia Gubitosi, Ivan Gutierrez-Sagredo, Francisco
J. Herranz
|
The $\kappa$-Newtonian and $\kappa$-Carrollian algebras and their
noncommutative spacetimes
|
19 pages. v2 matches version accepted for publication by Phys. Lett.
B; some references added
|
Phys. Lett. B 805 (2020) 135461
|
10.1016/j.physletb.2020.135461
| null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive the non-relativistic $c\to\infty$ and ultra-relativistic $c\to 0$
limits of the $\kappa$-deformed symmetries and corresponding spacetime in (3+1)
dimensions, with and without a cosmological constant. We apply the theory of
Lie bialgebra contractions to the Poisson version of the $\kappa$-(A)dS quantum
algebra, and quantize the resulting contracted Poisson-Hopf algebras, thus
giving rise to the $\kappa$-deformation of the Newtonian (Newton-Hooke and
Galilei) and Carrollian (Para-Poincar\'e, Para-Euclidean and Carroll) quantum
symmetries, including their deformed quadratic Casimir operators. The
corresponding $\kappa$-Newtonian and $\kappa$-Carrollian noncommutative
spacetimes are also obtained as the non-relativistic and ultra-relativistic
limits of the $\kappa$-(A)dS noncommutative spacetime. These constructions
allow us to analyze the non-trivial interplay between the quantum deformation
parameter $\kappa$, the curvature parameter $\eta$ and the speed of light
parameter $c$.
|
[
{
"created": "Mon, 9 Mar 2020 04:44:58 GMT",
"version": "v1"
},
{
"created": "Wed, 6 May 2020 22:04:06 GMT",
"version": "v2"
}
] |
2020-07-03
|
[
[
"Ballesteros",
"Angel",
""
],
[
"Gubitosi",
"Giulia",
""
],
[
"Gutierrez-Sagredo",
"Ivan",
""
],
[
"Herranz",
"Francisco J.",
""
]
] |
We derive the non-relativistic $c\to\infty$ and ultra-relativistic $c\to 0$ limits of the $\kappa$-deformed symmetries and corresponding spacetime in (3+1) dimensions, with and without a cosmological constant. We apply the theory of Lie bialgebra contractions to the Poisson version of the $\kappa$-(A)dS quantum algebra, and quantize the resulting contracted Poisson-Hopf algebras, thus giving rise to the $\kappa$-deformation of the Newtonian (Newton-Hooke and Galilei) and Carrollian (Para-Poincar\'e, Para-Euclidean and Carroll) quantum symmetries, including their deformed quadratic Casimir operators. The corresponding $\kappa$-Newtonian and $\kappa$-Carrollian noncommutative spacetimes are also obtained as the non-relativistic and ultra-relativistic limits of the $\kappa$-(A)dS noncommutative spacetime. These constructions allow us to analyze the non-trivial interplay between the quantum deformation parameter $\kappa$, the curvature parameter $\eta$ and the speed of light parameter $c$.
| 3.892165
| 4.261199
| 4.757695
| 4.080775
| 4.352721
| 4.219603
| 4.429573
| 4.083023
| 4.390013
| 5.185765
| 4.069383
| 3.984777
| 4.141209
| 4.027789
| 3.903795
| 4.071798
| 4.032938
| 3.935896
| 3.956891
| 4.347812
| 3.986764
|
1906.00987
|
Pablo Antonio Cano Molina-Ni\~nirola
|
Pablo Bueno, Pablo A. Cano, Javier Moreno and \'Angel Murcia
|
All higher-curvature gravities as Generalized quasi-topological
gravities
|
47 pages. Matches version published in JHEP. Footnote 14 and
discussion on the equivalence of QT and GQT gravities added at the end of
section 5
|
JHEP 11 (2019) 062
|
10.1007/JHEP11(2019)062
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Generalized quasi-topological gravities (GQTGs) are higher-curvature
extensions of Einstein gravity characterized by the existence of non-hairy
generalizations of the Schwarzschild black hole which satisfy
$g_{tt}g_{rr}=-1$, as well as for having second-order linearized equations
around maximally symmetric backgrounds. In this paper we provide strong
evidence that any gravitational effective action involving higher-curvature
corrections is equivalent, via metric redefinitions, to some GQTG. In the case
of theories involving invariants constructed from contractions of the Riemann
tensor and the metric, we show this claim to be true as long as (at least) one
non-trivial GQTG invariant exists at each order in curvature ---and extremely
conclusive evidence suggests this is the case in general dimensions. When
covariant derivatives of the Riemann tensor are included, the evidence provided
is not as definitive, but we still prove the claim explicitly for all theories
including up to eight derivatives of the metric as well as for terms involving
arbitrary contractions of two covariant derivatives of the Riemann tensor and
any number of Riemann tensors. Our results suggest that the physics of generic
higher-curvature gravity black holes is captured by their GQTG counterparts,
dramatically easier to characterize and universal. As an example, we map the
gravity sector of the Type-IIB string theory effective action in AdS$_5$ at
order $\mathcal{O}({\alpha^{\prime}}^3)$ to a GQTG and show that the
thermodynamic properties of black holes in both frames match.
|
[
{
"created": "Mon, 3 Jun 2019 18:00:10 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Dec 2019 12:55:33 GMT",
"version": "v2"
}
] |
2019-12-16
|
[
[
"Bueno",
"Pablo",
""
],
[
"Cano",
"Pablo A.",
""
],
[
"Moreno",
"Javier",
""
],
[
"Murcia",
"Ángel",
""
]
] |
Generalized quasi-topological gravities (GQTGs) are higher-curvature extensions of Einstein gravity characterized by the existence of non-hairy generalizations of the Schwarzschild black hole which satisfy $g_{tt}g_{rr}=-1$, as well as for having second-order linearized equations around maximally symmetric backgrounds. In this paper we provide strong evidence that any gravitational effective action involving higher-curvature corrections is equivalent, via metric redefinitions, to some GQTG. In the case of theories involving invariants constructed from contractions of the Riemann tensor and the metric, we show this claim to be true as long as (at least) one non-trivial GQTG invariant exists at each order in curvature ---and extremely conclusive evidence suggests this is the case in general dimensions. When covariant derivatives of the Riemann tensor are included, the evidence provided is not as definitive, but we still prove the claim explicitly for all theories including up to eight derivatives of the metric as well as for terms involving arbitrary contractions of two covariant derivatives of the Riemann tensor and any number of Riemann tensors. Our results suggest that the physics of generic higher-curvature gravity black holes is captured by their GQTG counterparts, dramatically easier to characterize and universal. As an example, we map the gravity sector of the Type-IIB string theory effective action in AdS$_5$ at order $\mathcal{O}({\alpha^{\prime}}^3)$ to a GQTG and show that the thermodynamic properties of black holes in both frames match.
| 7.368935
| 7.00471
| 7.419605
| 6.77168
| 6.518681
| 7.078426
| 6.594409
| 6.48025
| 6.690039
| 7.689557
| 7.135036
| 6.947312
| 7.082747
| 6.981143
| 6.915278
| 6.998286
| 7.09513
| 6.942034
| 6.863659
| 7.3511
| 7.079688
|
hep-th/0702078
|
Rodrigo Medina
|
Rodrigo Medina
|
Lagrangian of the quasi-rigid extended charge
|
10 pages, latex, submitted to JPA
|
J.Phys.A40:2053-2062,2007
|
10.1088/1751-8113/40/9/011
| null |
hep-th
| null |
It is proposed a Lagrangian for the quasi-rigid extended charged particle,
which consists of a bare point particle term plus the standard electromagnetic
minimal coupling. The quasi-rigid motion is imposed as a constraint. The
extension of the particle and the quasi-rigid motion appear inside the current
density. The Lorentz contraction of the extended particle makes the interaction
term dependent on the acceleration. This dependence produces the additional
terms in the equations of motion that are necessary for the proper energy and
momentum conservation, and that were previously identified as the inertial
effects of stress. The momentum of stress is obtained as an explicit function
of the electromagnetic field.
|
[
{
"created": "Sat, 10 Feb 2007 03:47:03 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Medina",
"Rodrigo",
""
]
] |
It is proposed a Lagrangian for the quasi-rigid extended charged particle, which consists of a bare point particle term plus the standard electromagnetic minimal coupling. The quasi-rigid motion is imposed as a constraint. The extension of the particle and the quasi-rigid motion appear inside the current density. The Lorentz contraction of the extended particle makes the interaction term dependent on the acceleration. This dependence produces the additional terms in the equations of motion that are necessary for the proper energy and momentum conservation, and that were previously identified as the inertial effects of stress. The momentum of stress is obtained as an explicit function of the electromagnetic field.
| 12.96979
| 12.120909
| 12.443051
| 12.603712
| 12.612583
| 13.663209
| 13.675613
| 11.547559
| 12.344445
| 12.788665
| 13.095435
| 11.876427
| 11.806271
| 12.166089
| 12.324834
| 12.415526
| 12.229959
| 11.736778
| 12.057033
| 12.25718
| 12.450945
|
hep-th/0510233
|
Katy Remy
|
Herbert M. Fried, Yves Gabellini (INLN)
|
Non trivial generalizations of the Schwinger pair production result II
|
5 pages
|
Phys.Rev. D73 (2006) 011901
|
10.1103/PhysRevD.73.011901
|
INLN2005S25GAB
|
hep-th
| null |
It is suggested that Schwinger's (1951) vacuum persistence probability
against pair production by an intense but constant electric field is a very
good approximation to the corresponding quantity if the field does not vary
appreciably over distances less than m/e/E/5 pages
|
[
{
"created": "Thu, 27 Oct 2005 15:08:16 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Fried",
"Herbert M.",
"",
"INLN"
],
[
"Gabellini",
"Yves",
"",
"INLN"
]
] |
It is suggested that Schwinger's (1951) vacuum persistence probability against pair production by an intense but constant electric field is a very good approximation to the corresponding quantity if the field does not vary appreciably over distances less than m/e/E/5 pages
| 30.640348
| 34.528458
| 28.433874
| 29.098719
| 35.697235
| 34.319317
| 36.00972
| 29.58363
| 29.010675
| 32.501499
| 30.157785
| 26.50523
| 27.730175
| 23.552555
| 26.650625
| 27.198496
| 25.772575
| 27.942823
| 25.63982
| 25.366415
| 28.296432
|
2309.17052
|
Jan Troost
|
Sujay K. Ashok and Jan Troost
|
The Operator Rings of Topological Symmetric Orbifolds and their Large N
Limit
|
48 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the structure constants of topological symmetric orbifold theories
up to third order in the large N expansion. The leading order structure
constants are dominated by topological metric contractions. The first order
interactions are single cycles joining while at second order we can have double
joining as well as splitting. At third order, single cycle joining obtains
genus one contributions. We also compute illustrative small N structure
constants. Our analysis applies to all second quantized Frobenius algebras, a
large class of algebras that includes the cohomology ring of the Hilbert scheme
of points on K3 among many others. We point out interesting open questions that
our results raise.
|
[
{
"created": "Fri, 29 Sep 2023 08:25:02 GMT",
"version": "v1"
}
] |
2023-10-02
|
[
[
"Ashok",
"Sujay K.",
""
],
[
"Troost",
"Jan",
""
]
] |
We compute the structure constants of topological symmetric orbifold theories up to third order in the large N expansion. The leading order structure constants are dominated by topological metric contractions. The first order interactions are single cycles joining while at second order we can have double joining as well as splitting. At third order, single cycle joining obtains genus one contributions. We also compute illustrative small N structure constants. Our analysis applies to all second quantized Frobenius algebras, a large class of algebras that includes the cohomology ring of the Hilbert scheme of points on K3 among many others. We point out interesting open questions that our results raise.
| 14.682226
| 15.303288
| 18.076204
| 13.508948
| 17.41824
| 14.454258
| 14.970965
| 14.837166
| 14.325446
| 19.082363
| 14.06436
| 13.807263
| 15.016829
| 13.69872
| 13.645144
| 14.09206
| 13.217677
| 13.611323
| 13.87328
| 15.222764
| 13.334491
|
hep-th/9603036
| null |
Hung Cheng and S.P. Li
|
Physical masses and the vacuum expectation value of the Higgs field
|
Latex, 7 pages
| null | null | null |
hep-th
| null |
By using the Ward-Takahashi identities in the Landau gauge, we derive exact
relations between particle masses and the vacuum expectation value of the Higgs
field in the Abelian gauge field theory with a Higgs meson.
|
[
{
"created": "Thu, 7 Mar 1996 00:29:57 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Cheng",
"Hung",
""
],
[
"Li",
"S. P.",
""
]
] |
By using the Ward-Takahashi identities in the Landau gauge, we derive exact relations between particle masses and the vacuum expectation value of the Higgs field in the Abelian gauge field theory with a Higgs meson.
| 11.391868
| 8.051945
| 7.718663
| 7.65695
| 8.31831
| 8.62848
| 8.166654
| 9.27799
| 7.951036
| 8.156178
| 9.031629
| 7.882039
| 8.119108
| 7.588272
| 7.705887
| 7.910316
| 7.630209
| 7.958632
| 7.837962
| 8.274085
| 8.40843
|
0710.4386
|
Herbert Weigel
|
O. Schroeder, N. Graham, M. Quandt, H. Weigel
|
Quantum stabilization of Z-strings, a status report on D=3+1 dimensions
|
Based on talk by O.S. at QFEXT07, Leipzig Sept. 2007. 8 pages
|
J.Phys.A41:164049,2008
|
10.1088/1751-8113/41/16/164049
| null |
hep-th
| null |
We investigate an extension to the phase shift formalism for calculating
one-loop determinants. This extension is motivated by requirements of the
computation of Z-string quantum energies in D=3+1 dimensions. A subtlety that
seems to imply that the vacuum polarization diagram in this formalism is
(erroneously) finite is thoroughly investigated.
|
[
{
"created": "Wed, 24 Oct 2007 06:53:44 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Schroeder",
"O.",
""
],
[
"Graham",
"N.",
""
],
[
"Quandt",
"M.",
""
],
[
"Weigel",
"H.",
""
]
] |
We investigate an extension to the phase shift formalism for calculating one-loop determinants. This extension is motivated by requirements of the computation of Z-string quantum energies in D=3+1 dimensions. A subtlety that seems to imply that the vacuum polarization diagram in this formalism is (erroneously) finite is thoroughly investigated.
| 26.660532
| 23.930573
| 22.050745
| 21.29818
| 21.689989
| 23.122417
| 23.243696
| 21.450792
| 20.62425
| 20.230778
| 22.56826
| 21.775143
| 22.228703
| 22.729702
| 23.818609
| 23.075382
| 24.585957
| 21.762428
| 22.721363
| 22.206297
| 21.462318
|
2103.16996
|
Jin Chen
|
Jin Chen, Babak Haghighat, Hee-Cheol Kim, Marcus Sperling and Xin Wang
|
E-string Quantum Curve
|
v2 typos corrected, added explanations on brane constructions, added
references
| null |
10.1016/j.nuclphysb.2021.115602
|
KIAS-Q21002
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we study the quantisation of the Seiberg-Witten curve for the
E-string theory compactified on a two-torus. We find that the resulting
operator expression belongs to the class of elliptic quantum curves. It can be
rephrased as an eigenvalue equation with eigenvectors corresponding to
co-dimension 2 defect operators and eigenvalues to co-dimension 4 Wilson
surfaces wrapping the elliptic curve, respectively. Moreover, the operator we
find is a generalised version of the van Diejen operator arising in the study
of elliptic integrable systems. Although the microscopic representation of the
co-dimension 4 defect only furnishes an $\mathrm{SO}(16)$ flavour symmetry in
the UV, we find an enhancement in the IR to representations in terms of affine
$E_8$ characters. Finally, using the Nekrasov-Shatashvili limit of the E-string
BPS partition function, we give a path integral derivation of the quantum
curve.
|
[
{
"created": "Wed, 31 Mar 2021 11:18:29 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Nov 2021 10:27:56 GMT",
"version": "v2"
}
] |
2021-11-11
|
[
[
"Chen",
"Jin",
""
],
[
"Haghighat",
"Babak",
""
],
[
"Kim",
"Hee-Cheol",
""
],
[
"Sperling",
"Marcus",
""
],
[
"Wang",
"Xin",
""
]
] |
In this work we study the quantisation of the Seiberg-Witten curve for the E-string theory compactified on a two-torus. We find that the resulting operator expression belongs to the class of elliptic quantum curves. It can be rephrased as an eigenvalue equation with eigenvectors corresponding to co-dimension 2 defect operators and eigenvalues to co-dimension 4 Wilson surfaces wrapping the elliptic curve, respectively. Moreover, the operator we find is a generalised version of the van Diejen operator arising in the study of elliptic integrable systems. Although the microscopic representation of the co-dimension 4 defect only furnishes an $\mathrm{SO}(16)$ flavour symmetry in the UV, we find an enhancement in the IR to representations in terms of affine $E_8$ characters. Finally, using the Nekrasov-Shatashvili limit of the E-string BPS partition function, we give a path integral derivation of the quantum curve.
| 7.992535
| 7.9044
| 9.116817
| 8.127582
| 8.057722
| 8.651686
| 8.129842
| 7.959327
| 7.928969
| 9.922701
| 7.893733
| 8.114732
| 8.408061
| 7.914355
| 8.061519
| 8.200289
| 8.278462
| 7.950822
| 7.992212
| 8.626384
| 7.765873
|
2208.14547
|
Noah Miller
|
Noah Miller, Andrew Strominger, Adam Tropper and Tianli Wang
|
Soft Gravitons in the BFSS Matrix Model
|
13 pages, 3 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
BFSS proposed that asymptotically flat M-theory is dual to a large $N$ limit
of the matrix quantum mechanics describing $N$ nonrelativistic D0-branes.
Recent insights on the soft symmetries of any quantum theory of gravity in
asymptotically flat space are applied to the BFSS matrix model. It is shown
that soft gravitons are realized by submatrices whose rank is held fixed in the
large $N$ M-theory limit, rather than the usual linear scaling with $N$ for
hard gravitons. The soft expansion is identified with the large $N$ expansion
and the soft theorem becomes a universal formula for the quantum mechanical
scattering of such submatrix excitations. This formula is shown to be the Ward
identity of large type IIA $U(1)_{RR}$ asymptotic gauge symmetry in the matrix
model, whose asymptotic boundaries are at future and past timelike infinity.
|
[
{
"created": "Tue, 30 Aug 2022 21:35:55 GMT",
"version": "v1"
}
] |
2022-09-01
|
[
[
"Miller",
"Noah",
""
],
[
"Strominger",
"Andrew",
""
],
[
"Tropper",
"Adam",
""
],
[
"Wang",
"Tianli",
""
]
] |
BFSS proposed that asymptotically flat M-theory is dual to a large $N$ limit of the matrix quantum mechanics describing $N$ nonrelativistic D0-branes. Recent insights on the soft symmetries of any quantum theory of gravity in asymptotically flat space are applied to the BFSS matrix model. It is shown that soft gravitons are realized by submatrices whose rank is held fixed in the large $N$ M-theory limit, rather than the usual linear scaling with $N$ for hard gravitons. The soft expansion is identified with the large $N$ expansion and the soft theorem becomes a universal formula for the quantum mechanical scattering of such submatrix excitations. This formula is shown to be the Ward identity of large type IIA $U(1)_{RR}$ asymptotic gauge symmetry in the matrix model, whose asymptotic boundaries are at future and past timelike infinity.
| 10.117318
| 9.461823
| 10.894774
| 8.915752
| 8.64116
| 9.111094
| 9.112975
| 8.765226
| 8.690005
| 11.48543
| 8.617146
| 8.99908
| 9.22975
| 9.112225
| 8.93379
| 8.956903
| 8.618221
| 8.770567
| 9.003739
| 9.596116
| 8.942845
|
2007.13133
|
Alesandro Santos
|
A. F. Santos and Faqir C. Khanna
|
Bhabha scattering in Very Special Relativity at finite temperature
|
15 pages, accepted for publication in EPJC
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper the differential cross section for Bhabha scattering in the
Very Special Relativity (VSR) framework is calculated. The main characteristic
of the VSR is to modify the gauge invariance. This leads to different types of
interactions appearing in a non-local form. In addition, using the Thermo Field
Dynamics formalism, thermal corrections for the differential cross section of
Bhabha scattering in VSR framework are obtained.
|
[
{
"created": "Sun, 26 Jul 2020 14:13:31 GMT",
"version": "v1"
}
] |
2020-07-28
|
[
[
"Santos",
"A. F.",
""
],
[
"Khanna",
"Faqir C.",
""
]
] |
In this paper the differential cross section for Bhabha scattering in the Very Special Relativity (VSR) framework is calculated. The main characteristic of the VSR is to modify the gauge invariance. This leads to different types of interactions appearing in a non-local form. In addition, using the Thermo Field Dynamics formalism, thermal corrections for the differential cross section of Bhabha scattering in VSR framework are obtained.
| 7.720527
| 5.241514
| 6.752528
| 5.721481
| 5.632165
| 6.026599
| 5.533122
| 5.582366
| 6.073812
| 7.12596
| 5.61444
| 6.151556
| 6.856691
| 6.410558
| 6.75963
| 6.07157
| 6.520419
| 6.294653
| 6.252211
| 6.826451
| 6.611875
|
1609.06729
|
Matthew Roberts
|
Michael Geracie, Kartik Prabhu, Matthew M. Roberts
|
Physical stress, mass, and energy for non-relativistic matter
|
31 pages, one appendix. Minor clarifications added and typos fixed
|
JHEP 2017 (2017), no. 6 1-29
|
10.1007/JHEP06(2017)089
|
EFI-16-17
|
hep-th cond-mat.mes-hall cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
For theories of relativistic matter fields there exist two possible
definitions of the stress-energy tensor, one defined by a variation of the
action with the coframes at fixed connection, and the other at fixed torsion.
These two stress-energy tensors do not necessarily coincide and it is the
latter that corresponds to the Cauchy stress measured in the lab. In this note
we discuss the corresponding issue for non-relativistic matter theories. We
point out that while the physical non-relativistic stress, momentum, and mass
currents are defined by a variation of the action at fixed torsion, the energy
current does not admit such a description and is naturally defined at fixed
connection. Any attempt to define an energy current at fixed torsion results in
an ambiguity which cannot be resolved from the background spacetime data or
conservation laws. We also provide computations of these quantities for some
simple non-relativistic actions.
|
[
{
"created": "Wed, 21 Sep 2016 20:00:17 GMT",
"version": "v1"
},
{
"created": "Sat, 25 Mar 2017 18:39:45 GMT",
"version": "v2"
}
] |
2017-07-19
|
[
[
"Geracie",
"Michael",
""
],
[
"Prabhu",
"Kartik",
""
],
[
"Roberts",
"Matthew M.",
""
]
] |
For theories of relativistic matter fields there exist two possible definitions of the stress-energy tensor, one defined by a variation of the action with the coframes at fixed connection, and the other at fixed torsion. These two stress-energy tensors do not necessarily coincide and it is the latter that corresponds to the Cauchy stress measured in the lab. In this note we discuss the corresponding issue for non-relativistic matter theories. We point out that while the physical non-relativistic stress, momentum, and mass currents are defined by a variation of the action at fixed torsion, the energy current does not admit such a description and is naturally defined at fixed connection. Any attempt to define an energy current at fixed torsion results in an ambiguity which cannot be resolved from the background spacetime data or conservation laws. We also provide computations of these quantities for some simple non-relativistic actions.
| 7.261757
| 7.356997
| 7.198798
| 7.102875
| 7.783796
| 7.568888
| 8.105493
| 7.194636
| 7.659193
| 7.61718
| 7.180447
| 6.816706
| 7.034848
| 6.895392
| 6.924829
| 6.758733
| 6.824191
| 6.922819
| 7.078843
| 6.964824
| 7.001038
|
hep-th/0311239
|
Alexander E. Shalyt-Margolin
|
A.E.Shalyt-Margolin
|
Non-Unitary and Unitary Transitions in Generalized Quantum Mechanics,
New Small Parameter and Information Problem Solving
|
18 pages
|
Mod.Phys.Lett. A19 (2004) 391
|
10.1142/S0217732304013155
| null |
hep-th
| null |
Quantum Mechanics of the Early Universe is considered as deformation of a
well-known Quantum Mechanics. Similar to previous works of the author, the
principal approach is based on deformation of the density matrix with
concurrent development of the wave function deformation in the respective
Schr{\"o}dinger picture, the associated deformation parameter being interpreted
as a new small parameter. It is demonstrated that the existence of black holes
in the suggested approach in the end twice causes nonunitary transitions
resulting in the unitarity. In parallel this problem is considered in other
terms: entropy density, Heisenberg algebra deformation terms, respective
deformations of Statistical Mechanics, - all showing the identity of the basic
results. From this an explicit solution for Hawking's informaion paradox has
been derived.
|
[
{
"created": "Tue, 25 Nov 2003 13:13:14 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Shalyt-Margolin",
"A. E.",
""
]
] |
Quantum Mechanics of the Early Universe is considered as deformation of a well-known Quantum Mechanics. Similar to previous works of the author, the principal approach is based on deformation of the density matrix with concurrent development of the wave function deformation in the respective Schr{\"o}dinger picture, the associated deformation parameter being interpreted as a new small parameter. It is demonstrated that the existence of black holes in the suggested approach in the end twice causes nonunitary transitions resulting in the unitarity. In parallel this problem is considered in other terms: entropy density, Heisenberg algebra deformation terms, respective deformations of Statistical Mechanics, - all showing the identity of the basic results. From this an explicit solution for Hawking's informaion paradox has been derived.
| 29.588015
| 30.494745
| 26.667074
| 26.645954
| 32.384205
| 30.933405
| 31.667797
| 23.432167
| 28.291542
| 26.118299
| 27.21015
| 28.736433
| 27.162943
| 28.300966
| 29.317827
| 29.205944
| 29.026711
| 27.241535
| 29.216091
| 26.623304
| 27.988991
|
hep-th/0502072
|
Adam Falkowski
|
Adam Falkowski
|
On the one-loop Kahler potential in five-dimensional brane-world
supergravity
|
20 pages
|
JHEP 0505 (2005) 073
|
10.1088/1126-6708/2005/05/073
| null |
hep-th
| null |
We present an on-shell formulation of 5d gauged supergravity coupled to
chiral matter multiplets localized at the orbifold fixed points. The brane
action is constructed via the Noether method. In such set-up we compute
one-loop corrections to the Kahler potential of the effective 4d supergravity
and compare the result with previous computations based on the off-shell
formalism. The results agree at lowest order in brane sources, however at
higher order there are differences. We explain this discrepancy by an ambiguity
in resolving singularities associated with the presence of infinitely thin
branes.
|
[
{
"created": "Mon, 7 Feb 2005 16:55:22 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Falkowski",
"Adam",
""
]
] |
We present an on-shell formulation of 5d gauged supergravity coupled to chiral matter multiplets localized at the orbifold fixed points. The brane action is constructed via the Noether method. In such set-up we compute one-loop corrections to the Kahler potential of the effective 4d supergravity and compare the result with previous computations based on the off-shell formalism. The results agree at lowest order in brane sources, however at higher order there are differences. We explain this discrepancy by an ambiguity in resolving singularities associated with the presence of infinitely thin branes.
| 9.052186
| 7.988669
| 8.584395
| 7.893367
| 8.173641
| 8.485197
| 8.507159
| 8.133161
| 8.223477
| 9.089708
| 8.275887
| 8.52545
| 8.225427
| 8.229554
| 8.200978
| 8.13623
| 8.642955
| 8.579891
| 8.072174
| 8.442938
| 8.240496
|
1905.00219
|
John Stout
|
Guilherme L. Pimentel and John Stout
|
Real-Time Corrections to the Effective Potential
|
1+36 pages, 12 figures, 4 appendices
| null |
10.1007/JHEP05(2020)096
| null |
hep-th astro-ph.CO cond-mat.str-el gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Non-perturbatively generated effective potentials play an extremely useful
and often critical role in string and inflationary model building. These
potentials are typically computed by methods that assume the system is in
equilibrium. For systems out of equilibrium, like an inflaton rolling down its
potential, there are corrections to the semi-classical evolution due to
transient phenomena. We provide a new qualitative and quantitative
understanding of non-perturbative effects in real time for a wide class of toy
quantum mechanical models. We derive an effective Schr\"{o}dinger equation that
does not rely on any notion of equilibrium and captures the low-energy dynamics
supposedly described by the effective potential. We find that there are
potentially large corrections to this potential that are not captured by
standard equilibrium techniques, and quantify when these corrections
significantly alter the effective dynamics.
|
[
{
"created": "Wed, 1 May 2019 08:29:48 GMT",
"version": "v1"
}
] |
2020-06-24
|
[
[
"Pimentel",
"Guilherme L.",
""
],
[
"Stout",
"John",
""
]
] |
Non-perturbatively generated effective potentials play an extremely useful and often critical role in string and inflationary model building. These potentials are typically computed by methods that assume the system is in equilibrium. For systems out of equilibrium, like an inflaton rolling down its potential, there are corrections to the semi-classical evolution due to transient phenomena. We provide a new qualitative and quantitative understanding of non-perturbative effects in real time for a wide class of toy quantum mechanical models. We derive an effective Schr\"{o}dinger equation that does not rely on any notion of equilibrium and captures the low-energy dynamics supposedly described by the effective potential. We find that there are potentially large corrections to this potential that are not captured by standard equilibrium techniques, and quantify when these corrections significantly alter the effective dynamics.
| 9.933148
| 9.467646
| 9.658689
| 8.789686
| 9.685285
| 9.165584
| 9.184563
| 9.09079
| 8.95974
| 9.678133
| 9.480573
| 9.182386
| 9.185898
| 9.043588
| 9.155247
| 9.057889
| 9.181753
| 9.0652
| 9.247666
| 9.050162
| 9.465571
|
1310.8352
|
Everton Murilo Carvalho Abreu
|
Everton M. C. Abreu and M. J. Neves
|
Self-quartic interaction for a scalar field in an extended DFR
noncommutative spacetime
|
20 pages. Pre-print format. arXiv admin note: substantial text
overlap with arXiv:1212.4118, arXiv:1206.4065
| null |
10.1016/j.nuclphysb.2014.05.003
| null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The framework Doplicher-Fredenhagen-Roberts (DFR) of a noncommutative (NC)
space-time is considered as a alternative approach to study the NC space-time
of the early Universe. In this formalism, the parameter of noncommutative
$\theta^{\mu\nu}$ is promoted to a coordinate of the space-time, and
consequently, we are describing a field theory in a space-time with
extra-dimension. Consequently, there is a canonical momentum associated to this
new coordinate in which the effects of a new physics can emerge in the
propagation of the fields along the extra-dimension. The Fourier space of this
framework is automatically extended by the addition of new momenta components.
The main concept that we would like to emphasize from the outset is that the
formalism demonstrated here will not be constructed introducing a NC parameter
in the system, as usual. It will be generated naturally from an already NC
space. When the components of the new momentum are zero, the DFR approach is
reduced to the usual NC case, in which $\theta^{\mu\nu}$ is a antisymmetric
constant matrix. We study a scalar field action with self-quartic interaction
$\phi^{4}\star$ defined in the DFR NC spacetime, obtaining the Feynman rules in
the Fourier space for the scalar propagator and vertex of the model. With these
rules we are able to build out the radiative corrections to one loop order for
the model propagator. The influence of the NC scale, as well as the propagation
of the field in the extra-dimension, are analyzed in the ultraviolet
divergences scenario. We investigate the actual possibility if this
$\theta^{\mu\nu}$ conjugate momentum has the property of healing the mixing
IR/UV divergences that emerges in this recently new NC spacetime quantum field
theory.
|
[
{
"created": "Thu, 31 Oct 2013 00:28:21 GMT",
"version": "v1"
}
] |
2015-06-17
|
[
[
"Abreu",
"Everton M. C.",
""
],
[
"Neves",
"M. J.",
""
]
] |
The framework Doplicher-Fredenhagen-Roberts (DFR) of a noncommutative (NC) space-time is considered as a alternative approach to study the NC space-time of the early Universe. In this formalism, the parameter of noncommutative $\theta^{\mu\nu}$ is promoted to a coordinate of the space-time, and consequently, we are describing a field theory in a space-time with extra-dimension. Consequently, there is a canonical momentum associated to this new coordinate in which the effects of a new physics can emerge in the propagation of the fields along the extra-dimension. The Fourier space of this framework is automatically extended by the addition of new momenta components. The main concept that we would like to emphasize from the outset is that the formalism demonstrated here will not be constructed introducing a NC parameter in the system, as usual. It will be generated naturally from an already NC space. When the components of the new momentum are zero, the DFR approach is reduced to the usual NC case, in which $\theta^{\mu\nu}$ is a antisymmetric constant matrix. We study a scalar field action with self-quartic interaction $\phi^{4}\star$ defined in the DFR NC spacetime, obtaining the Feynman rules in the Fourier space for the scalar propagator and vertex of the model. With these rules we are able to build out the radiative corrections to one loop order for the model propagator. The influence of the NC scale, as well as the propagation of the field in the extra-dimension, are analyzed in the ultraviolet divergences scenario. We investigate the actual possibility if this $\theta^{\mu\nu}$ conjugate momentum has the property of healing the mixing IR/UV divergences that emerges in this recently new NC spacetime quantum field theory.
| 10.210094
| 10.447604
| 10.905705
| 9.947538
| 10.553648
| 9.983018
| 9.682708
| 9.977371
| 9.774079
| 11.375193
| 10.148707
| 9.976731
| 10.196742
| 9.780063
| 10.03373
| 9.911708
| 9.743172
| 9.895394
| 9.811006
| 10.314675
| 10.057052
|
1112.6413
|
David Turton
|
Samir D. Mathur, David Turton
|
Microstates at the boundary of AdS
|
41 pages, 6 figures, v2: cross-check of results added, to appear in
JHEP
|
JHEP05(2012)014
|
10.1007/JHEP05(2012)014
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The bound states of the D1D5 brane system have a known gravitational
description: flat asymptotics, an anti-de Sitter region, and a 'cap' ending the
AdS region. We construct perturbations that correspond to the action of chiral
algebra generators on Ramond ground states of D1D5 branes. Abstract arguments
in the literature suggest that the perturbation should be pure gauge in the AdS
region; our perturbation indeed has this structure, with the nontrivial
deformation of the geometry occurring at the 'neck' between the AdS region and
asymptotic infinity. This 'non-gauge' deformation is needed to provide the
nonzero energy and momentum carried by the perturbation. We also suggest
implications this structure may have for the majority of microstates which live
at the cap.
|
[
{
"created": "Thu, 29 Dec 2011 20:38:12 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Apr 2012 19:16:05 GMT",
"version": "v2"
}
] |
2012-05-10
|
[
[
"Mathur",
"Samir D.",
""
],
[
"Turton",
"David",
""
]
] |
The bound states of the D1D5 brane system have a known gravitational description: flat asymptotics, an anti-de Sitter region, and a 'cap' ending the AdS region. We construct perturbations that correspond to the action of chiral algebra generators on Ramond ground states of D1D5 branes. Abstract arguments in the literature suggest that the perturbation should be pure gauge in the AdS region; our perturbation indeed has this structure, with the nontrivial deformation of the geometry occurring at the 'neck' between the AdS region and asymptotic infinity. This 'non-gauge' deformation is needed to provide the nonzero energy and momentum carried by the perturbation. We also suggest implications this structure may have for the majority of microstates which live at the cap.
| 11.925076
| 11.545542
| 12.962732
| 11.738155
| 13.145019
| 12.295711
| 12.616579
| 12.555891
| 12.077866
| 14.036695
| 11.892462
| 11.836165
| 13.129712
| 11.678192
| 12.013114
| 12.211906
| 12.074958
| 12.030951
| 12.108148
| 12.358367
| 11.875209
|
1309.1121
|
David D. Blanco M.Sc.
|
David D. Blanco and Horacio Casini
|
Localization of Negative Energy and the Bekenstein Bound
|
5 pages, 1 figure
|
Phys. Rev. Lett. 111, 221601 (2013)
|
10.1103/PhysRevLett.111.221601
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A simple argument shows that negative energy cannot be isolated far away from
positive energy in a conformal field theory and strongly constrains its
possible dispersal. This is also required by consistency with the Bekenstein
bound written in terms of the positivity of relative entropy. We prove a new
form of the Bekenstein bound based on the monotonicity of the relative entropy,
involving a "free" entropy enclosed in a region which is highly insensitive to
space-time entanglement, and show that it further improves the negative energy
localization bound.
|
[
{
"created": "Wed, 4 Sep 2013 18:04:12 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Nov 2013 19:37:39 GMT",
"version": "v2"
}
] |
2013-11-28
|
[
[
"Blanco",
"David D.",
""
],
[
"Casini",
"Horacio",
""
]
] |
A simple argument shows that negative energy cannot be isolated far away from positive energy in a conformal field theory and strongly constrains its possible dispersal. This is also required by consistency with the Bekenstein bound written in terms of the positivity of relative entropy. We prove a new form of the Bekenstein bound based on the monotonicity of the relative entropy, involving a "free" entropy enclosed in a region which is highly insensitive to space-time entanglement, and show that it further improves the negative energy localization bound.
| 14.5101
| 14.371913
| 13.794533
| 12.55426
| 13.591128
| 13.615569
| 16.667574
| 11.837563
| 13.602731
| 16.164648
| 13.826918
| 13.486579
| 14.17824
| 13.645177
| 13.562258
| 12.941258
| 13.607109
| 13.720574
| 13.658626
| 14.389307
| 13.034492
|
0808.2520
|
Kazunobu Maruyoshi
|
Kazunobu Maruyoshi
|
SUSY/Non-SUSY Duality in U(N) Gauge Model with Partially Broken N=2
Supersymmetry
|
17 pages; v2: typos corrected
|
Nucl.Phys.B809:279-290,2009
|
10.1016/j.nuclphysb.2008.10.003
|
OCU-PHYS 303
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the vacuum structure of the U(N) gauge model with partially broken
N=2 supersymmetry. From the analysis of the classical vacua of this model, we
point out that in addition to the ordinary N=1 supersymmetric vacua, there are
vacua with negative gauge coupling constants, which preserve another N=1
supersymmetry. These latter vacua can be analyzed by using SUSY/non-SUSY
duality which is recently proposed by Aganagic, Beem, Seo and Vafa. A dual
description of these in UV is U(N) gauge theory where the supersymmetry is
broken by spurion superfields. Following them, we see that there are
supersymmetry preserving vacua as well as supersymmetry breaking vacua of low
energy effective theory.
|
[
{
"created": "Tue, 19 Aug 2008 02:54:43 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Oct 2008 03:15:47 GMT",
"version": "v2"
}
] |
2010-05-28
|
[
[
"Maruyoshi",
"Kazunobu",
""
]
] |
We study the vacuum structure of the U(N) gauge model with partially broken N=2 supersymmetry. From the analysis of the classical vacua of this model, we point out that in addition to the ordinary N=1 supersymmetric vacua, there are vacua with negative gauge coupling constants, which preserve another N=1 supersymmetry. These latter vacua can be analyzed by using SUSY/non-SUSY duality which is recently proposed by Aganagic, Beem, Seo and Vafa. A dual description of these in UV is U(N) gauge theory where the supersymmetry is broken by spurion superfields. Following them, we see that there are supersymmetry preserving vacua as well as supersymmetry breaking vacua of low energy effective theory.
| 7.707258
| 7.791637
| 9.201118
| 7.903267
| 8.499269
| 8.591903
| 8.079053
| 7.904748
| 8.263036
| 9.189618
| 7.768374
| 7.750244
| 8.12926
| 7.795329
| 7.82768
| 7.954852
| 7.965664
| 8.022129
| 7.743423
| 8.245048
| 7.724399
|
hep-th/0512020
|
Joel W. Walker
|
G. B. Cleaver, D. V. Nanopoulos, J. T. Perkins and J. W. Walker
|
On Geometrical Interpretation of Non-Abelian Flat Direction Constraints
|
36 Pages
|
Int.J.Mod.Phys.A23:3461-3492,2008
|
10.1142/S0217751X0804161X
|
MIFP-05-32, ACT-05-12, BU-HEPP-05-10, CASPER-05-11
|
hep-th
| null |
In order to produce a low energy effective field theory from a string model,
it is necessary to specify a vacuum state. In order that this vacuum be
supersymmetric, it is well known that all field expectation values must be
along so-called flat directions, leaving the F- and D-terms of the scalar
potential to be zero. The situation becomes particularly interesting when one
attempts to realize such directions while assigning VEVS to fields transforming
under non-Abelian representations of the gauge group. Since the expectation
value is now shared among multiple components of a field, satisfaction of
flatness becomes an inherently geometrical problem in the group space.
Furthermore, the possibility emerges that a single seemingly dangerous F-term
might experience a self-cancellation among its components. The hope exists that
the geometric language can provide an intuitive and immediate recognition of
when the D and F conditions are simultaneously compatible, as well as a
powerful tool for their comprehensive classification. This is the avenue
explored in this paper, and applied to the cases of SU(2) and SO(2N), relevant
respectively to previous attempts at reproducing the MSSM and the flipped SU(5)
GUT. Geometrical interpretation of non-Abelian flat directions finds
application to M-theory through the recent conjecture of equivalence between
D-term strings and wrapped D-branes of Type II theory. Knowledge of the
geometry of the flat direction "landscape" of a D-term string model could yield
information about the dual brane model. It is hoped that the techniques
encountered will be of benefit in extending the viability of the
quasi-realistic phenomenologies already developed.
|
[
{
"created": "Thu, 1 Dec 2005 20:17:28 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Cleaver",
"G. B.",
""
],
[
"Nanopoulos",
"D. V.",
""
],
[
"Perkins",
"J. T.",
""
],
[
"Walker",
"J. W.",
""
]
] |
In order to produce a low energy effective field theory from a string model, it is necessary to specify a vacuum state. In order that this vacuum be supersymmetric, it is well known that all field expectation values must be along so-called flat directions, leaving the F- and D-terms of the scalar potential to be zero. The situation becomes particularly interesting when one attempts to realize such directions while assigning VEVS to fields transforming under non-Abelian representations of the gauge group. Since the expectation value is now shared among multiple components of a field, satisfaction of flatness becomes an inherently geometrical problem in the group space. Furthermore, the possibility emerges that a single seemingly dangerous F-term might experience a self-cancellation among its components. The hope exists that the geometric language can provide an intuitive and immediate recognition of when the D and F conditions are simultaneously compatible, as well as a powerful tool for their comprehensive classification. This is the avenue explored in this paper, and applied to the cases of SU(2) and SO(2N), relevant respectively to previous attempts at reproducing the MSSM and the flipped SU(5) GUT. Geometrical interpretation of non-Abelian flat directions finds application to M-theory through the recent conjecture of equivalence between D-term strings and wrapped D-branes of Type II theory. Knowledge of the geometry of the flat direction "landscape" of a D-term string model could yield information about the dual brane model. It is hoped that the techniques encountered will be of benefit in extending the viability of the quasi-realistic phenomenologies already developed.
| 13.016781
| 14.057021
| 13.000759
| 13.076467
| 14.741827
| 14.241958
| 13.446702
| 13.427733
| 13.885725
| 14.596543
| 13.320662
| 13.114648
| 12.647818
| 12.583199
| 12.899284
| 13.419191
| 13.299112
| 13.126663
| 12.769485
| 13.001988
| 12.699375
|
1708.00612
|
Vinay Malvimat
|
Parul Jain, Vinay Malvimat, Sayid Mondal and Gautam Sengupta
|
Holographic Entanglement Negativity for Adjacent Subsystems in
$\mathrm{AdS_{d+1}/CFT_d}$
|
16 pages , 5 figures, minor revisions and references added
|
Eur. Phys. J. Plus (2018) 133: 300
|
10.1140/epjp/i2018-12113-0
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We establish our recently proposed holographic entanglement negativity
conjecture for mixed states of adjacent subsystems in conformal field theories
with concrete higher dimensional examples. In this context we compute the
holographic entanglement negativity for mixed states of adjacent subsystems in
$d$-dimensional conformal field theories dual to bulk $AdS_{d+1}$ vacuum and
$AdS_{d+1}$-Schwarzschild black holes. These representative examples provide
strong indication for the universality of our conjecture which affirms
significant implications for diverse applications.
|
[
{
"created": "Wed, 2 Aug 2017 06:17:03 GMT",
"version": "v1"
},
{
"created": "Sun, 29 Oct 2017 15:11:03 GMT",
"version": "v2"
},
{
"created": "Mon, 6 Aug 2018 05:33:01 GMT",
"version": "v3"
}
] |
2018-08-07
|
[
[
"Jain",
"Parul",
""
],
[
"Malvimat",
"Vinay",
""
],
[
"Mondal",
"Sayid",
""
],
[
"Sengupta",
"Gautam",
""
]
] |
We establish our recently proposed holographic entanglement negativity conjecture for mixed states of adjacent subsystems in conformal field theories with concrete higher dimensional examples. In this context we compute the holographic entanglement negativity for mixed states of adjacent subsystems in $d$-dimensional conformal field theories dual to bulk $AdS_{d+1}$ vacuum and $AdS_{d+1}$-Schwarzschild black holes. These representative examples provide strong indication for the universality of our conjecture which affirms significant implications for diverse applications.
| 7.743454
| 5.380135
| 7.456429
| 6.091202
| 5.051518
| 5.307484
| 5.7299
| 5.91266
| 5.795548
| 8.344002
| 6.234866
| 6.456197
| 6.976227
| 6.592109
| 6.584982
| 6.470626
| 6.334055
| 6.615946
| 6.603587
| 7.005034
| 6.616665
|
1103.4115
|
Kallosh Renata
|
Renata Kallosh
|
E{7(7)} Symmetry and Finiteness of N=8 Supergravity
|
18 pages
| null |
10.1007/JHEP03(2012)083
|
SU-ITP-2011/09
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study N=8 supergravity deformed by the presence of the candidate
counterterms. We show that even though they are invariant under undeformed
E{7(7)}, all of the candidate counterterms violate the deformed E{7(7)} current
conservation. The same conclusion follows from the uniqueness of the Lorentz
and SU(8) covariant, E{7(7)} invariant unitarity constraint expressing the
56-dimensional E{7(7)} doublet via 28 independent vectors. Therefore E{7(7)}
duality predicts the all-loop UV finiteness of perturbative N=8 supergravity.
|
[
{
"created": "Mon, 21 Mar 2011 19:25:14 GMT",
"version": "v1"
}
] |
2015-05-27
|
[
[
"Kallosh",
"Renata",
""
]
] |
We study N=8 supergravity deformed by the presence of the candidate counterterms. We show that even though they are invariant under undeformed E{7(7)}, all of the candidate counterterms violate the deformed E{7(7)} current conservation. The same conclusion follows from the uniqueness of the Lorentz and SU(8) covariant, E{7(7)} invariant unitarity constraint expressing the 56-dimensional E{7(7)} doublet via 28 independent vectors. Therefore E{7(7)} duality predicts the all-loop UV finiteness of perturbative N=8 supergravity.
| 11.162045
| 10.758137
| 11.167582
| 9.330959
| 10.294125
| 10.165931
| 10.625904
| 9.579576
| 10.462498
| 12.298273
| 9.825483
| 10.639982
| 10.676111
| 10.419976
| 10.942481
| 10.787727
| 10.488914
| 10.35587
| 10.774195
| 11.653449
| 10.470003
|
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