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

2024

数学季刊(英文版)
河南大学

数学季刊(英文版)

影响因子:0.201
ISSN:1002-0462
年,卷(期):2024.39(1)
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