Connections between kinks with different asymptotics

Abstract

In this letter, we show how to build bridges between field-theoretic models that have kink solutions with different asymptotic behavior. We study transformational properties of kinks in models with a real scalar field in two-dimensional space-time. We show how to obtain new models with solitons having different asymptotic behavior, using deformations with specific functions. In particular, starting from the well-known ${\phi }^4$ model, we obtain kinks with super-exponential, super-super-exponential, power-law, and logarithmic asymptotics. We also comment on how asymptotic behavior of stability potential and zero mode can be obtained for deformed kinks.

6 pages, 1 figure; final/published version

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Cited by in corpus (3)

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• BPS and semi-BPS kink families in two-component scalar field theories with fourth-degree polynomial potentials