Transitions between topologically non-trivial configurations
High Energy Physics - Theory
2018-01-09 v1 Cosmology and Nongalactic Astrophysics
Pattern Formation and Solitons
Abstract
We study formation and evolution of solitons within a model with two real scalar fields with the potential having a saddle point. The set of these configurations can be split into disjoint equivalence classes. We give a simple expression for the winding number of an arbitrary closed loop in the field space and discuss the evolution scenarios that change the winding number. These non-trivial field configurations lead to formation of the domain walls in the three-dimensional physical space.
Cite
@article{arxiv.1711.07700,
title = {Transitions between topologically non-trivial configurations},
author = {Vakhid A. Gani and Alexander A. Kirillov and Sergey G. Rubin},
journal= {arXiv preprint arXiv:1711.07700},
year = {2018}
}
Comments
5 pages, 2 figures; Proceedings of the 3rd International Conference on Particle Physics and Astrophysics, Moscow, 2-5 October 2017