首页|The Existence and Uniqueness of Self-Dual Monopole Solutions in Gauge Field Theory
The Existence and Uniqueness of Self-Dual Monopole Solutions in Gauge Field Theory
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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.
Self-dual monopoleDynamical shooting methodExistence and uniqueness
CHEN Xiao
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School of Mathematics and Information Science,Henan University of Economics and Law,Zhengzhou 450016,China