Maxwell-Chern-Simons vortices on compact surfaces: Nonequivalence of the first and the second order equations

被引：2

作者：

Han, Jongmin ^{[1
,2
]}

Kim, Seongtag ^{[3
]}

机构：

[1] Kyung Hee Univ, Dept Math, Seoul 130701, South Korea

[2] Kyung Hee Univ, Res Inst Basic Sci, Seoul 130701, South Korea

[3] Inha Univ, Dept Math Educ, Inchon 402751, South Korea

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2013年 / 54卷 / 02期

关键词：

HIGGS THEORY;

D O I：

10.1063/1.4790416

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we study the Maxwell-Chern-Simons-Higgs and the Chern-Simons-Higgs vortices on a compact Riemann surface. We establish the existence of a solution of the static Maxwell-Chern-Simons-Higgs vortex equations, which is a minimizer of the static energy functional. This shows the nonequivalence of the first and the second order Maxwell-Chern-Simons-Higgs vortex equations. The nonequivalence is also proved for the Chern-Simons-Higgs vortices by verifying the Chern-Simons limit. (C) 2013 American Institute of Physics. [http://dx.doi.org/10.1063/1.4790416]

引用

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