118 research outputs found
On the solitons of the Chern-Simons-Higgs model
Several issues concerning the self-dual solutions of the Chern-Simons-Higgs
model are addressed. The topology of the configuration space of the model is
analysed when the space manifold is either the plane or an infinite cylinder.
We study the local structure of the moduli space of self-dual solitons in the
second case by means of an index computation. It is shown how to manage the
non-integer contribution to the heat-kernel supertrace due to the
non-compactness of the base space. A physical picture of the local coordinates
parametrizing the non-topological soliton moduli space arises .Comment: 27 pages, 3 figures, to appear in The European Physical Journal
One-dimensional solitary waves in singular deformations of SO(2) invariant two-component scalar field theory models
In this paper we study the structure of the manifold of solitary waves in
some deformations of SO(2) symmetric two-component scalar field theoretical
models in two-dimensional Minkowski space. The deformation is chosen in order
to make the analogous mechanical system Hamilton-Jacobi separable in polar
coordinates and displays a singularity at the origin of the internal plane. The
existence of the singularity confers interesting and intriguing properties to
the solitary waves or kink solutions.Comment: 25 pages, 18 figure
Self-Dual Vortices in Abelian Higgs Models with Dielectric Function on the Noncommutative Plane
We show that Abelian Higgs Models with dielectric function defined on the
noncommutative plane enjoy self-dual vorticial solutions. By choosing a
particular form of the dielectric function, we provide a family of solutions
whose Higgs and magnetic fields interpolate between the profiles of the
noncommutative Nielsen-Olesen and Chern-Simons vortices. This is done both for
the usual model and for the semilocal model with a
doublet of complex scalar fields. The variety of known noncommutative self-dual
vortices which display a regular behaviour when the noncommutativity parameter
tends to zero results in this way considerably enlarged
generalized Robin boundary conditions and quantum vacuum fluctuations
The effects induced by the quantum vacuum fluctuations of one massless real
scalar field on a configuration of two partially transparent plates are
investigated. The physical properties of the infinitely thin plates are
simulated by means of Dirac- point interactions. It is
shown that the distortion caused on the fluctuations by this external
background gives rise to a generalization of Robin boundary conditions. The
-operator for potentials concentrated on points with non defined parity is
computed with total generality. The quantum vacuum interaction energy between
the two plates is computed using the formula to find positive, negative,
and zero Casimir energies. The parity properties of the
potential allow repulsive quantum vacuum force between identical plates.Comment: 21 pages and 11 figures. PhysRev
Quantum scalar fields in the half-line. A heat kernel/zeta function approach
In this paper we shall study vacuum fluctuations of a single scalar field
with Dirichlet boundary conditions in a finite but very long line. The spectral
heat kernel, the heat partition function and the spectral zeta function are
calculated in terms of Riemann Theta functions, the error function, and
hypergeometric PFQ functions.Comment: Latex file, 11 pages, 7 figure
The Kink variety in systems of two coupled scalar fields in two space-time dimensions
In this paper we describe the moduli space of kinks in a class of systems of
two coupled real scalar fields in (1+1) Minkowskian space-time. The main
feature of the class is the spontaneous breaking of a discrete symmetry of
(real) Ginzburg-Landau type that guarantees the existence of kink topological
defects.Comment: 12 pages, 5 figures. To appear in Phys. Rev.
New models for two real scalar fields and their kinklike solutions
In this work we study the presence of kinks in models described by two real
scalar fields in bi-dimensional space-time. We generate new two-field models,
constructed from distinct but important one-field models, and we solve them
with techniques that we introduce in the current work. We illustrate the
results with several examples of current interest to high energy physics.Comment: 8 pages, 6 figures; To appear in Adv. High Energy Phy
Two-point one-dimensional - interactions: non-abelian addition law and decoupling limit
In this contribution to the study of one dimensional point potentials, we
prove that if we take the limit on a potential of the type
, we
obtain a new point potential of the type , when and are related to , , and
by a law having the structure of a group. This is the Borel subgroup of
. We also obtain the non-abelian addition law from the
scattering data. The spectra of the Hamiltonian in the exceptional cases
emerging in the study are also described in full detail. It is shown that for
the , values of the couplings the
singular Kurasov matrices become equivalent to Dirichlet at one side of the
point interaction and Robin boundary conditions at the other side
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