Discrete Skyrmions in 2+1 and 3+1 Dimensions

Details Discrete Skyrmions in 2+1 and 3+1 Dimensions Discrete Skyrmions in 2+1 and 3+1 Dimensions

2008-07-03

arxiv.org/abs/0807.0538v1

Phys.Lett.A372:6735-6741,2008

Nonlinear Sciences

Exactly Solvable and Integrable Systems

18 Pages + 6 Figures, To appear in Physics Letter A

Scientific paper

10.1016/j.physleta.2008.07.087

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.

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