28 research outputs found
Attractor solutions for general hessence dark energy
As a candidate for the dark energy, the hessence model has been recently
introduced. We discuss the critical points of this model in almost general
case, that is for arbitrary hessence potential and almost arbitrary
hessence-background matter interaction. It is shown that in all models, there
always exist some stable late-time attractors. It is shown that our general
results coincide with those solutions obtained earlier for special cases, but
some of them are new. These new solutions have two unique characteristics.
First the hessence field has finite value in these solutions and second, their
stabilities depend on the second derivative of the hessence potential.Comment: 11 pages. Add some explanations about the autonomousity of the
equations, and also a conclusion section was added. To appear in Phys. Rev. D
(2006
Cosmological coincidence problem in interacting dark energy models
An interacting dark energy model with interaction term is considered. By studying the model near the
transition time, in which the system crosses the w=-1 phantom-divide-line, the
conditions needed to overcome the coincidence problem is investigated. The
phantom model, as a candidate for dark energy, is considered and for two
specific examples, the quadratic and exponential phantom potentials, it is
shown that it is possible the system crosses the w=-1 line, meanwhile the
coincidence problem is alleviated, the two facts that have root in
observations.Comment: 15 pages, LaTeX. Some minor explanations are added. To be published
in Phys. Rev.
Transition from quintessence to phantom phase in quintom model
Assuming the Hubble parameter is a continuous and differentiable function of
comoving time, we investigate necessary conditions for quintessence to phantom
phase transition in quintom model. For power-law and exponential potential
examples, we study the behavior of dynamical dark energy fields and Hubble
parameter near the transition time, and show that the phantom-divide-line w=-1
is crossed in these models.Comment: LaTeX, 19 pages, four figures, some minor changes in Introduction,
two figures added and the references updated, accepted for publication in
Phys. Rev.
Laughlin states on the Poincare half-plane and its quantum group symmetry
We find the Laughlin states of the electrons on the Poincare half-plane in
different representations. In each case we show that there exist a quantum
group symmetry such that the Laughlin states are a representation of
it. We calculate the corresponding filling factor by using the plasma analogy
of the FQHE.Comment: 9 pages,Late
Coulomb gas representation of quantum Hall effect on Riemann surfaces
Using the correlation function of chiral vertex operators of the Coulomb gas
model, we find the Laughlin wavefunctions of quantum Hall effect, with filling
factor , on Riemann sufaces with Poincare metric. The same is done
for quasihole wavefunctions. We also discuss their plasma analogy.Comment: 10 pages, LaTex, the paper is completely rewritten, It will be
appeared in : Jour. Phys. A 32 (1999
Electrostatic self-energy and Bekenstein entropy bound in the massive Schwinger model
We obtain the electrostatic energy of two opposite charges near the horizon
of stationary black-holes in the massive Schwinger model. Besides the confining
aspects of the model, we discuss the Bekenstein entropy upper bound of a
charged object using the generalized second law. We show that despite the
massless case, in the massive Schwinger model the entropy of the black hole and
consequently the Bekenstein bound are altered by the vacuum polarization.Comment: 14 pages, accepted for publication in "Gen. Rel. Grav. (2005)
Massive Schwinger model and its confining aspects on curved space-time
Using a covariant method to regularize the composite operators, we obtain the
bosonized action of the massive Schwinger model on a classical curved
background. Using the solution of the bosonic effective action, the energy of
two static external charges with finite and large distance separation on a
static curved space-time is obtained. The confining behavior of this model is
also explicitly discussed.Comment: A disscussion about the infrared regularization and also two
references are added. Accepted for publication in Phys. Rev. D (2001
Asymptotic behavior of w in general quintom model
For the quintom models with arbitrary potential , the
asymptotic value of equation of state parameter w is obtained by a new method.
In this method, w of stable attractors are calculated by using the ratio (d ln
V)/(d ln a) in asymptotic region. All the known results, have been obtained by
other methods, are reproduced by this method as specific examples.Comment: 8 pages, one example is added, accepted for publication in Gen. Rel.
Gra