ELECTRICALLY CHARGED SOLITONS IN GAUGE FIELD THEORY  

作　　者：杨亦松 

机构地区：[1]Department of Mathematics, Polytechnic Institute of New York University Brooklyn [2]Institute of Contemporary Mathematics, Henan University

出　　处：《Acta Mathematica Scientia》2010年第6期1975-2005,共31页数学物理学报（B辑英文版）

摘　　要：Monopoles and vortices are well known magnetically charged soliton solutions of gauge field equations. Extending the idea of Dirac on monopoles, Schwinger pioneered the concept of solitons carrying both electric and magnetic charges, called dyons, which are useful in modeling elementary particles. Mathematically, the existence of dyons presents interesting variational partial differential equation problems, subject to topological constraints. This article is a survey on recent progress in the study of dyons.Monopoles and vortices are well known magnetically charged soliton solutions of gauge field equations. Extending the idea of Dirac on monopoles, Schwinger pioneered the concept of solitons carrying both electric and magnetic charges, called dyons, which are useful in modeling elementary particles. Mathematically, the existence of dyons presents interesting variational partial differential equation problems, subject to topological constraints. This article is a survey on recent progress in the study of dyons.

关 键 词：gauge field theory MONOPOLES VORTICES DYONS calculus of variations topological invariants 

分 类 号：O441.4[理学—电磁学] O175.2[理学—物理]