Self-Dual Vortices in Abelian Higgs Models with Dielectric Function on the Noncommutative Plane

Abstract

[EN] We show that Abelian Higgs Models with dielectric function d efined 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 d one both for the usual U (1) model and for the SU (2)× U (1) 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