Discrete Skyrmions in 2+1 and 3+1 Dimensions
Exactly Solvable and Integrable Systems
2008-12-18 v1 High Energy Physics - Theory
Pattern Formation and Solitons
Abstract
This paper describes a lattice version of the Skyrme model in 2+1 and 3+1 dimensions. The discrete model is derived from a consistent discretization of the radial continuum problem. Subsequently, the existence and stability of the skyrmion solutions existing on the lattice are investigated. One consequence of the proposed models is that the corresponding discrete skyrmions have a high degree of stability, similar to their continuum counterparts.
Cite
@article{arxiv.0807.0538,
title = {Discrete Skyrmions in 2+1 and 3+1 Dimensions},
author = {Theodora Ioannidou and Panos Kevrekidis},
journal= {arXiv preprint arXiv:0807.0538},
year = {2008}
}
Comments
18 Pages + 6 Figures, To appear in Physics Letter A