Self-Dual Vortices in Abelian Higgs Models with Dielectric Function on the Noncommutative Plane
High Energy Physics - Theory
2014-05-01 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1404.7740,
title = {Self-Dual Vortices in Abelian Higgs Models with Dielectric Function on the Noncommutative Plane},
author = {W. García Fuertes and J. Mateos Guilarte},
journal= {arXiv preprint arXiv:1404.7740},
year = {2014}
}