Domain wall thickness and deformations of the field model
High Energy Physics - Theory
2021-01-01 v1 Mathematical Physics
math.MP
Pattern Formation and Solitons
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.
Keywords
Cite
@article{arxiv.2012.12709,
title = {Domain wall thickness and deformations of the field model},
author = {Petr A. Blinov and Tatiana V. Gani and Vakhid A. Gani},
journal= {arXiv preprint arXiv:2012.12709},
year = {2021}
}
Comments
5 pages; Proceedings of the 5th International Conference on Particle Physics and Astrophysics (ICPPA-2020), Moscow, 5-9 October 2020