Deformations of kink tails

We study the asymptotic properties of kinks in connection with the deformation procedure. We show that, upon deformation of the field-theoretic model, the asymptotics of kinks can change or remain unchanged, depending on the properties of the deforming function. The cases of both explicit and implicit kinks are considered. In addition, we show that the deformation procedure can be applied to the important case of implicit kinks. We also prove that for any kink with a power-law tail, the stability potential decreases as the inverse square of the coordinate. The physical consequences of the deformation are discussed: the change of the kink mass, as well as the asymptotic behavior of the kink-antikink force. (C) 2021 Elsevier Inc. All rights reserved.

Automated summary

The asymptotic properties of kinks in connection with the deformation procedure are studied. It is shown that the asymptotics of kinks can change or remain unchanged upon deformation, depending on the properties of the deforming function. Both explicit and implicit kinks are considered, and the deformation procedure is applied to the important case of implicit kinks. Furthermore, it is proved that the stability potential of any kink with a power-law tail decreases as the inverse square of the coordinate. The physical consequences of the deformation, such as the change of kink mass and the asymptotic behavior of the kink-antikink force, are discussed.