Discrete Skyrmions in 2+1 and 3+1 Dimensions
arXiv:0807.0538 · doi:10.1016/j.physleta.2008.07.087
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.
18 Pages + 6 Figures, To appear in Physics Letter A
References in corpus (10)
- Discrete Breathers
- Rational Maps, Monopoles and Skyrmions
- Dynamics of Baby Skyrmions
- Kink dynamics in a novel discrete sine-Gordon system
- The baby Skyrme models and their multi-skyrmions
- Multi-soliton dynamics in the Skyrme model
- Spherically Symmetric Solutions of the SU(N) Skyrme Models
- Stable Topological Skyrmions on the 2D Lattice
- Soliton Dynamics in a Novel Discrete O(3) Sigma Model in (2+1) Dimensions
- Approximate analytical solutions of the baby Skyrme model