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

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DOI: 10.48550/arxiv.2307.06539 Publication Date: 2023-01-01
ABSTRACT
In this note we research the Abelian Higgs model subject to Born-Infeld theory of electrodynamics for which BPS equations can be reduced into a quasi-linear differential equation. We show that equation exists unique solution under two interesting boundary conditions realize corresponding phase transition. construct through dynamical shooting method correct slope is unique. also obtain sharp asymptotic estimate at infinity.
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