Born-Infeld 理论中阿贝尔 Higgs 模型畴壁解的存在性

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

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Abstract:

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.

Key words: Born-Infeld theory, Abelian Higgs model, domain wall, dynamical shooting method, existence and uniqueness, asymptotic estimates

CLC Number:

O175.8

Lei Cao,Xiao Chen. The Existence of Domain Wall Solution Arising in Abelian Higgs Model Subject to Born-Infeld Theory[J].Acta mathematica scientia,Series A, 2025, 45(2): 567-575.

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