Kinks in higher-order polynomial models
High Energy Physics - Theory
2022-11-18 v1 Mathematical Physics
math.MP
Pattern Formation and Solitons
Abstract
We consider a family of field-theoretic models with a real scalar field in (1+1)-dimensional space-time. The field dynamics in each model is determined by a polynomial potential with two degenerate minima. We obtain exact general formulas for kink solutions with power-law asymptotic behavior. We also write out formulas for the asymptotics of all found kinks. In addition, we analyze some other properties of the obtained kinks: stability potentials, zero modes, positions of the centers of mass.
Cite
@article{arxiv.2211.08240,
title = {Kinks in higher-order polynomial models},
author = {Petr A. Blinov and Tatiana V. Gani and Alexander A. Malnev and Vakhid A. Gani and Vladimir B. Sherstyukov},
journal= {arXiv preprint arXiv:2211.08240},
year = {2022}
}
Comments
22 pages, 8 figures; final/published version