规范场论中自对偶磁单极子解的存在唯一性  

The Existence and Uniqueness of Self–Dual Monopole Solutions in Gauge Field Theory

作　　者：陈筱 CHEN Xiao(School of Mathematics and Information Science,Henan University of Economics and Law,Zhengzhou 450016,China)

机构地区：[1]School of Mathematics and Information Science,Henan University of Economics and Law,Zhengzhou 450016,China

出　　处：《Chinese Quarterly Journal of Mathematics》2024年第1期86-96,共11页数学季刊（英文版）

摘　　要：Magnetic monopoles stand for the static solution arising from a(1 + 3)–dimensional theory describing the interaction between a real scalar triplet and non–Abelian gauge field. In this paper, we obtain a two–point boundary value problem of a first–order ordinary differential equations from the self–dual monopole model. Then we establish the existence and uniqueness theorem for the problem by using a dynamical shooting method, we also obtain sharp asymptotic estimates for the solutions at infinity.

关 键 词：Self-dual monopole Dynamical shooting method Existence and uniqueness 

分 类 号：O29.1[理学—应用数学]