Discrete BPS Skyrmions
High Energy Physics - Theory
2017-10-11 v1 Pattern Formation and Solitons
Abstract
A discrete analogue of the extended Bogomolny-Prasad-Sommerfeld (BPS) Skyrme model that admits time-dependent solutions is presented. Using the spacing h of adjacent lattice nodes as a parameter, we identify the spatial profile of the solution and the continuation of the relevant branch of solutions over the lattice spacing for different values of the potential (free) parameter {\alpha}. In particular, we explore the dynamics and stability of the obtained solutions, finding that, while they generally seem to be prone to instabilities, for suitable values of the lattice spacing and for sufficiently large value of {\alpha}, they may be long-lived in direct numerical simulations.
Cite
@article{arxiv.1703.09093,
title = {Discrete BPS Skyrmions},
author = {M. Agaoglou and E. G. Charalampidis and T. A. Ioannidou and P. G. Kevrekidis},
journal= {arXiv preprint arXiv:1703.09093},
year = {2017}
}
Comments
15 pages, 7 figures