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

被引:0
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作者
W. García Fuertes
J. Mateos Guilarte
机构
[1] Universidad de Oviedo,Departamento de Física, Facultad de Ciencias
[2] Universidad de Salamanca,Departamento de Física Fundamental and IUFFyM
来源
The European Physical Journal C | 2014年 / 74卷
关键词
Vortex; Dielectric Function; Star Product; Topological Sector; Abelian Higgs Model;
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学科分类号
摘要
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 U(1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$U(1)$$\end{document} model and for the SU(2)×U(1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$SU(2)\times U(1)$$\end{document} 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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