Deformations of Kink Tails
Abstract
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 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.
Cite
@article{arxiv.2008.13159,
title = {Deformations of Kink Tails},
author = {Petr A. Blinov and Tatiana V. Gani and Vakhid A. Gani},
journal= {arXiv preprint arXiv:2008.13159},
year = {2022}
}
Comments
14 pages, 6 figures; v2: final/published version