Self-dual vortices in Abelian Higgs models with dielectric function on the noncommutative plane

W. García Fuertes; J. Mateos Guilarte

doi:10.1140/epjc/s10052-014-3002-4

EPJ

Self-dual vortices in Abelian Higgs models with dielectric function on the noncommutative plane

W. García Fuertes¹^* and J. Mateos Guilarte²

¹ Departamento de Física, Facultad de Ciencias, Universidad de Oviedo, 33007 , Oviedo, Spain
² Departamento de Física Fundamental and IUFFyM, Universidad de Salamanca, 37008 , Salamanca, Spain

Received: 9 May 2014
Accepted: 23 July 2014
Published online: 21 August 2014

Abstract

We show that Abelian Higgs Models with a 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 behavior when the noncommutativity parameter tends to zero results in this way considerably enlarged.

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