Abstract
We consider the change in the asymptotic behavior of solutions of the type of flat domain walls (i.e. kink solutions) in field-theoretic models with a real scalar field. We show that when the model is deformed by a bounded deforming function, the exponential asymptotics of the corresponding kink solutions remain exponential, while the power-law ones remain power-law. However, the parameters of these asymptotics, which are related to the wall thickness, can change.
Highlights
Introduction and motivationDomain wall in three-dimensional physical space is a boundary between domains with different properties [1]
Domain wall is a transition region in which the field continuously changes from one vacuum value to another
Emphasize that the study of many properties of domain walls is reduced to the study of kink solutions of the corresponding field-theoretic models
Summary
Introduction and motivationDomain wall in three-dimensional physical space is a boundary between domains (areas of space) with different properties [1]. In a field-theoretic model with a real scalar field with potential having at least two minima (vacua of the model), domain wall separates regions with different vacuum values of the scalar field. Domain wall is a transition region in which the field continuously changes from one vacuum value to another. Emphasize that the study of many properties of domain walls is reduced to the study of kink solutions of the corresponding field-theoretic models.
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