Born-Infeld理论中阿贝尔Higgs模型畴壁解的存在性  

The Existence of Domain Wall Solution Arising in Abelian Higgs Model Subject to Born-Infeld Theory

作　　者：曹蕾 陈筱 Cao Lei;Chen Xiao(School of Mathematics and Statistics,Henan University,Henan Kaifeng 475004;School of Mathematics and Information Science,Henan University of Economics and Law,Zhengzhou450016)

机构地区：[1]河南大学数学与统计学院,河南开封475004 [2]河南财经政法大学数学与信息科学学院,郑州450016

出　　处：《数学物理学报(A辑)》2025年第2期567-575,共9页Acta Mathematica Scientia

基　　金：国家自然科学基金(12101197);中国博士后科学基金(2022M721022)。

摘　　要：该文对出现在Born-Infeld理论中的Ablelian Higgs模型所对应的BPS方程,针对两类边界条件,利用动态射击法证明了BPS方程两点边值问题解的存在唯一性,最后给出了解在无穷远处的渐近估计.In this note,we research the Abelian Higgs model subject to the Born-Infeld theory for which the BPS equations can be reduced to a quasi-linear differential equation.We show that the equation exists a unique solution under two interesting boundary conditions which realize the corresponding phase transition.The solution is constructed using a dynamical shooting method for which the correct shooting slope is unique.We also obtain the sharp asymptotic estimate for the solution at infinity.

关 键 词：Born-Infeld理论 阿贝尔Higgs模型 畴壁解 动态射击法 存在唯一性 渐近估计 

分 类 号：O175.8[理学—数学]