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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/0012058
|
Pijush K. Ghosh
|
Tetsuo Deguchi and Pijush K. Ghosh
|
Spin chains from super-models
|
36 pages, RevTeX, No figures, v1; Corrected typos, Added minor
clarifications, v2; Added discussions, version to appear in JPSJ, v3
|
J.Phys.Soc.Jap. 70 (2001) 3225-3237
|
10.1143/JPSJ.70.3225
|
OCHA-SP-00-06
|
hep-th cond-mat nlin.SI
| null |
We construct and study a class of N particle supersymmetric Hamiltonians with
nearest and next-nearest neighbor inverse-square interaction in one dimension.
We show that inhomogeneous XY models in an external non-uniform magnetic field
can be obtained from these super-Hamiltonians in a particular limit decoupling
the fermionic degrees of freedom from the kinematic ones. We further consider a
suitable deformation of these super-models such that inhomogeneous XXZ
Hamiltonians in an external non-uniform magnetic field are obtained in the same
limit. We show that this deformed Hamiltonian with rational potential is, (i)
mapped to a set of free super-oscillators through a similarity transformation
and (ii) supersymmetric in terms of a new, non-standard realization of the
supercharge. We construct many exact eigenstates of this Hamiltonian and
discuss about the applicability of this technique to other models.
|
[
{
"created": "Thu, 7 Dec 2000 11:17:20 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Dec 2000 09:22:35 GMT",
"version": "v2"
},
{
"created": "Thu, 6 Sep 2001 07:48:00 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Deguchi",
"Tetsuo",
""
],
[
"Ghosh",
"Pijush K.",
""
]
] |
We construct and study a class of N particle supersymmetric Hamiltonians with nearest and next-nearest neighbor inverse-square interaction in one dimension. We show that inhomogeneous XY models in an external non-uniform magnetic field can be obtained from these super-Hamiltonians in a particular limit decoupling the fermionic degrees of freedom from the kinematic ones. We further consider a suitable deformation of these super-models such that inhomogeneous XXZ Hamiltonians in an external non-uniform magnetic field are obtained in the same limit. We show that this deformed Hamiltonian with rational potential is, (i) mapped to a set of free super-oscillators through a similarity transformation and (ii) supersymmetric in terms of a new, non-standard realization of the supercharge. We construct many exact eigenstates of this Hamiltonian and discuss about the applicability of this technique to other models.
| 8.515911 | 8.616235 | 9.022647 | 8.645877 | 9.212896 | 9.288001 | 9.21701 | 8.723095 | 8.67893 | 9.737364 | 8.596179 | 8.680089 | 8.753368 | 8.228726 | 8.499648 | 8.736233 | 8.301134 | 8.239882 | 8.551953 | 8.630649 | 8.363317 |
1804.01608
|
Nobuyoshi Ohta
|
N. Ohta, R. Percacci and A. D. Pereira
|
$f(R, R_{\mu\nu}^2)$ at one loop
|
14 pages, v2:minor corrections, refs. added/modified
|
Phys. Rev. D 97, 104039 (2018)
|
10.1103/PhysRevD.97.104039
|
KU-TP 072
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the one-loop divergences in a theory of gravity with Lagrangian of
the general form $f(R,R_{\mu\nu}R^{\mu\nu})$, on an Einstein background. We
also establish that the one-loop effective action is invariant under a duality
that consists of changing certain parameters in the relation between the metric
and the quantum fluctuation field. Finally, we discuss the unimodular version
of such a theory and establish its equivalence at one-loop order with the
general case.
|
[
{
"created": "Wed, 4 Apr 2018 21:15:43 GMT",
"version": "v1"
},
{
"created": "Thu, 10 May 2018 05:33:04 GMT",
"version": "v2"
}
] |
2018-05-30
|
[
[
"Ohta",
"N.",
""
],
[
"Percacci",
"R.",
""
],
[
"Pereira",
"A. D.",
""
]
] |
We compute the one-loop divergences in a theory of gravity with Lagrangian of the general form $f(R,R_{\mu\nu}R^{\mu\nu})$, on an Einstein background. We also establish that the one-loop effective action is invariant under a duality that consists of changing certain parameters in the relation between the metric and the quantum fluctuation field. Finally, we discuss the unimodular version of such a theory and establish its equivalence at one-loop order with the general case.
| 7.782232 | 6.742594 | 6.693686 | 6.119654 | 6.913689 | 7.229867 | 6.581227 | 5.998504 | 6.184081 | 7.269973 | 6.301834 | 6.514653 | 6.94735 | 6.699995 | 6.724559 | 6.894863 | 6.977316 | 6.681649 | 6.723773 | 7.030406 | 6.572337 |
1203.6638
|
Christos Ragiadakos
|
C. N. Ragiadakos
|
A Renormalizable Quantum Field Theoretic Model with Gravity
|
Essay written for the Gravity Research Foundation 2012 Awards for
Essays on Gravitation ; 11 pages
| null | null | null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A four dimensional generally covariant modified Yang-Mills action, which
depends on the lorentzian complex structure of spacetime and not its metric, is
presented. The extended Weyl symmetry, implied by the effective metric
independence, makes the lagrangian model renormalizable. The modified
Yang-Mills action generates a linear potential, instead of the Coulomb-like
(1/r) potential of the ordinary action. Therefore the Yang-Mills excitations
must be perturbatively confined. The metric, which admits an integrable
lorentzian complex structure, can be extended to a Kaehler metric and the
spacetime is a totally real CR manifold in $\mathbb{C}^4$. These surfaces are
generally inside the SU(2,2) homogeneous domain. A non-real-analytic point,
transferred to the U(2) characteristic boundary of the classical domain,
spontaneously breaks the SU(2,2) symmetry down to its Poincare subgroup. Hence
the pure geometric modes and solitons of the model must belong to
representations of the Poincare group.
|
[
{
"created": "Thu, 29 Mar 2012 19:26:36 GMT",
"version": "v1"
}
] |
2012-03-30
|
[
[
"Ragiadakos",
"C. N.",
""
]
] |
A four dimensional generally covariant modified Yang-Mills action, which depends on the lorentzian complex structure of spacetime and not its metric, is presented. The extended Weyl symmetry, implied by the effective metric independence, makes the lagrangian model renormalizable. The modified Yang-Mills action generates a linear potential, instead of the Coulomb-like (1/r) potential of the ordinary action. Therefore the Yang-Mills excitations must be perturbatively confined. The metric, which admits an integrable lorentzian complex structure, can be extended to a Kaehler metric and the spacetime is a totally real CR manifold in $\mathbb{C}^4$. These surfaces are generally inside the SU(2,2) homogeneous domain. A non-real-analytic point, transferred to the U(2) characteristic boundary of the classical domain, spontaneously breaks the SU(2,2) symmetry down to its Poincare subgroup. Hence the pure geometric modes and solitons of the model must belong to representations of the Poincare group.
| 14.421388 | 11.916243 | 14.9155 | 12.35707 | 12.782526 | 12.233692 | 11.917087 | 12.491694 | 12.689484 | 16.413874 | 12.697632 | 13.495847 | 14.071607 | 13.541253 | 13.488245 | 13.444894 | 13.439907 | 13.429556 | 13.512396 | 13.90304 | 13.292905 |
1611.00237
|
Brett McInnes
|
Brett McInnes, Yen Chin Ong
|
On The Existence of a Holographic Description of the LHC Quark-Gluon
Plasmas
|
22 pages, 4 eps figures; typo fixed, acknowledgement added; version
to appear in Nucl.Phys.B
| null |
10.1016/j.nuclphysb.2017.01.028
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Peripheral collisions of heavy ions can give rise to extremely intense
magnetic fields. It has been suggested that these fields might invalidate the
holographic description of the corresponding quark-gluon plasmas, assuming that
these can be modelled by strongly coupled field theories. In the case of the
plasmas produced in collisions at the RHIC facility (including in the beam
energy scans), it is known how to deal with this problem: one has to take into
account the large angular momenta generated in these plasmas, and the effects
of the baryonic chemical potential. But this does not work for the plasmas
produced in peripheral collisions at the LHC. However, these results neglect
some (less significant) aspects of bulk physics; could it be that the problem
is resolved by taking into account these lower-order effects? Here we use a
bulk dilatonic field (fully compatible with boundary data, as well as with the
asymptotically AdS character of the bulk geometry) as a model of these effects,
and show that this is unlikely to be the solution. Thus, the existence of a
consistent holographic description of the most extreme LHC plasmas remains open
to question.
|
[
{
"created": "Tue, 1 Nov 2016 14:09:53 GMT",
"version": "v1"
},
{
"created": "Sun, 12 Feb 2017 09:03:33 GMT",
"version": "v2"
}
] |
2017-04-05
|
[
[
"McInnes",
"Brett",
""
],
[
"Ong",
"Yen Chin",
""
]
] |
Peripheral collisions of heavy ions can give rise to extremely intense magnetic fields. It has been suggested that these fields might invalidate the holographic description of the corresponding quark-gluon plasmas, assuming that these can be modelled by strongly coupled field theories. In the case of the plasmas produced in collisions at the RHIC facility (including in the beam energy scans), it is known how to deal with this problem: one has to take into account the large angular momenta generated in these plasmas, and the effects of the baryonic chemical potential. But this does not work for the plasmas produced in peripheral collisions at the LHC. However, these results neglect some (less significant) aspects of bulk physics; could it be that the problem is resolved by taking into account these lower-order effects? Here we use a bulk dilatonic field (fully compatible with boundary data, as well as with the asymptotically AdS character of the bulk geometry) as a model of these effects, and show that this is unlikely to be the solution. Thus, the existence of a consistent holographic description of the most extreme LHC plasmas remains open to question.
| 9.509921 | 10.697965 | 9.702871 | 8.530939 | 9.643632 | 10.058603 | 9.733084 | 9.250255 | 8.963893 | 10.725122 | 9.407953 | 9.063217 | 9.202677 | 9.057218 | 8.932775 | 8.659006 | 9.078979 | 9.06741 | 9.040655 | 9.598803 | 9.12146 |
1305.0831
|
Daniel Mayerson
|
Borun D. Chowdhury, Daniel R. Mayerson
|
Multi-centered D1-D5 solutions at finite B-moduli
|
19 pages + appendices, 14 figures; v2: added important remark in
example in introduction, rewrote first paragraph in sect 3.2 for clarity,
other misc. small edits; as accepted for publication in JHEP
|
JHEP 02 (2014) 043
|
10.1007/JHEP02(2014)043
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the fate of two-centered D1-D5 systems on T^4 away from the singular
supergravity point in the moduli space. We do this by considering a background
D1-D5 black hole with a self-dual B-field moduli turned on and treating the
second center in the probe limit in this background. We find that in general
marginal bound states at zero moduli become metastable at finite B-moduli,
demonstrating a breaking of supersymmetry. However, we also find evidence that
when the charges of both centers are comparable, the effects of supersymmetry
breaking become negligible. We show that this effect is independent of string
coupling and thus it should be possible to reproduce this in the CFT at weak
coupling. We comment on the implications for the fuzzball proposal.
|
[
{
"created": "Fri, 3 May 2013 20:00:13 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Mar 2014 10:36:55 GMT",
"version": "v2"
}
] |
2014-03-26
|
[
[
"Chowdhury",
"Borun D.",
""
],
[
"Mayerson",
"Daniel R.",
""
]
] |
We study the fate of two-centered D1-D5 systems on T^4 away from the singular supergravity point in the moduli space. We do this by considering a background D1-D5 black hole with a self-dual B-field moduli turned on and treating the second center in the probe limit in this background. We find that in general marginal bound states at zero moduli become metastable at finite B-moduli, demonstrating a breaking of supersymmetry. However, we also find evidence that when the charges of both centers are comparable, the effects of supersymmetry breaking become negligible. We show that this effect is independent of string coupling and thus it should be possible to reproduce this in the CFT at weak coupling. We comment on the implications for the fuzzball proposal.
| 11.440884 | 10.513385 | 12.147447 | 11.098967 | 10.356809 | 10.532613 | 10.549751 | 10.628228 | 9.857481 | 13.520722 | 10.705795 | 10.059699 | 11.108116 | 10.359118 | 10.057589 | 10.118424 | 10.021641 | 10.330694 | 10.219412 | 10.860083 | 10.181609 |
hep-th/0203025
|
Kazuhiro Sakai
|
Tohru Eguchi and Kazuhiro Sakai
|
Seiberg-Witten Curve for the E-String Theory
|
18 pages, 1 figure; appendix C added
|
JHEP 0205:058,2002
|
10.1088/1126-6708/2002/05/058
|
UT-975
|
hep-th
| null |
We construct the Seiberg-Witten curve for the E-string theory in
six-dimensions. The curve is expressed in terms of affine E_8 characters up to
level 6 and is determined by using the mirror-type transformation so that it
reproduces the number of holomorphic curves in the Calabi-Yau manifold and the
amplitudes of N=4 U(n) Yang-Mills theory on 1/2 K3. We also show that our curve
flows to known five- and four-dimensional Seiberg-Witten curves in suitable
limits.
|
[
{
"created": "Mon, 4 Mar 2002 19:18:25 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Mar 2002 14:54:46 GMT",
"version": "v2"
},
{
"created": "Mon, 25 Mar 2002 10:30:55 GMT",
"version": "v3"
}
] |
2010-02-03
|
[
[
"Eguchi",
"Tohru",
""
],
[
"Sakai",
"Kazuhiro",
""
]
] |
We construct the Seiberg-Witten curve for the E-string theory in six-dimensions. The curve is expressed in terms of affine E_8 characters up to level 6 and is determined by using the mirror-type transformation so that it reproduces the number of holomorphic curves in the Calabi-Yau manifold and the amplitudes of N=4 U(n) Yang-Mills theory on 1/2 K3. We also show that our curve flows to known five- and four-dimensional Seiberg-Witten curves in suitable limits.
| 9.605841 | 7.98381 | 11.394739 | 9.194179 | 8.846476 | 8.891852 | 9.123605 | 8.441054 | 9.121658 | 10.844666 | 9.136591 | 8.563936 | 10.149869 | 8.809184 | 8.696624 | 8.772575 | 8.840148 | 8.699543 | 8.478549 | 10.37746 | 8.390341 |
2201.00658
|
Yang Liu
|
Yang Liu
|
Interacting Ghost Dark Energy in Complex Quintessence Theory
| null |
Eur. Phys. J. C 80, 1204 (2020)
|
10.1140/epjc/s10052-020-08786-y
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We employ a ghost model of interacting dark energy to obtain the equation of
state \omega for ghost energy density in an FRW universe in complex
quintessence theory. We reconstruct the potential and study the dynamics of the
scalar field that describes complex quintessence cosmology. We perform
\omega-\omega' analysis and stability analysis for both non-interacting and
interacting cases and find that the same basic conclusion as for the real
model, where \omega' = d\omega/dlna. Taking account of the effect of the
complex part and assuming the real part of the quintessence field to be a
"slow-rolling" field, we conclude that the non-interacting model cannot
describe the real universe since this will lead to fractional energy density
\Omega_D > 1, where \Omega_D can be defined as the ratio of \rho_D to
\rho_{cr}. However, for the interacting case, if we take present \Omega_D =
0.73, then we can determine that b^2 = 0.0849, where b^2 is the interaction
coupling parameter between matter and dark energy. In the real quintessence
model, \Omega_D and b^2 are independent parameters, whereas in the complex
quintessence model, we conclude that there is a relationship between these two
parameters.
|
[
{
"created": "Fri, 31 Dec 2021 14:49:08 GMT",
"version": "v1"
}
] |
2022-01-04
|
[
[
"Liu",
"Yang",
""
]
] |
We employ a ghost model of interacting dark energy to obtain the equation of state \omega for ghost energy density in an FRW universe in complex quintessence theory. We reconstruct the potential and study the dynamics of the scalar field that describes complex quintessence cosmology. We perform \omega-\omega' analysis and stability analysis for both non-interacting and interacting cases and find that the same basic conclusion as for the real model, where \omega' = d\omega/dlna. Taking account of the effect of the complex part and assuming the real part of the quintessence field to be a "slow-rolling" field, we conclude that the non-interacting model cannot describe the real universe since this will lead to fractional energy density \Omega_D > 1, where \Omega_D can be defined as the ratio of \rho_D to \rho_{cr}. However, for the interacting case, if we take present \Omega_D = 0.73, then we can determine that b^2 = 0.0849, where b^2 is the interaction coupling parameter between matter and dark energy. In the real quintessence model, \Omega_D and b^2 are independent parameters, whereas in the complex quintessence model, we conclude that there is a relationship between these two parameters.
| 7.607447 | 8.164918 | 7.356851 | 7.041482 | 7.963516 | 8.282037 | 7.961021 | 7.043636 | 7.879365 | 7.544096 | 7.685208 | 7.832044 | 7.382242 | 7.161847 | 7.217389 | 7.446166 | 7.330965 | 7.101743 | 7.480453 | 7.087113 | 7.435277 |
hep-th/0407107
|
Olga Babourova Valer'evna
|
O.V. Babourova, A.S. Vshivtsev, V.P. Myasnikov, B.N. Frolov
|
A Model of Perfect Fluid with Spin and Non-Abelian Color Charge
|
5 pages, no figures
|
Phys.Dokl. 42 (1997) 611-614; Dokl.Akad.Nauk Ser.Fiz. 357 (1997)
183-186
| null | null |
hep-th cond-mat.other gr-qc
| null |
We consider a hydrodynamic approach in which a quantum system of interacting
quarks and gluons is approximated classically by representing it as a perfect
fluid having intrinsic degrees of freedom. Every particle of such fluid is
endowed with spin and non-Abelian color charge. The variational theory of such
perfect spin fluid with color charge is constructed, the spin-polarization
chromomagnetic effects in an external Yang-Mills field and in Riemann-Cartan
space with curvature and torsion being taken into account.
|
[
{
"created": "Tue, 13 Jul 2004 17:58:50 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Babourova",
"O. V.",
""
],
[
"Vshivtsev",
"A. S.",
""
],
[
"Myasnikov",
"V. P.",
""
],
[
"Frolov",
"B. N.",
""
]
] |
We consider a hydrodynamic approach in which a quantum system of interacting quarks and gluons is approximated classically by representing it as a perfect fluid having intrinsic degrees of freedom. Every particle of such fluid is endowed with spin and non-Abelian color charge. The variational theory of such perfect spin fluid with color charge is constructed, the spin-polarization chromomagnetic effects in an external Yang-Mills field and in Riemann-Cartan space with curvature and torsion being taken into account.
| 10.884007 | 11.351541 | 10.617001 | 9.884491 | 10.201622 | 10.620953 | 11.179858 | 8.973173 | 10.824005 | 10.190071 | 10.534942 | 10.335127 | 10.703639 | 10.478054 | 10.346947 | 10.202685 | 10.044165 | 9.926908 | 10.414583 | 10.418653 | 10.240993 |
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