Soliton Dynamics in a Novel Discrete O(3) Sigma Model in (2+1) Dimensions

Preprint

23 May 1997

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-th/9705184

Abstract

The O(3) sigma model in two spatial dimensions admits topological (Bogomol'nyi) lower bound on its energy. This paper proposes a lattice version of this system which maintains the Bogomol'nyi bound and allows the explicit construction of static solitons on the lattice. Numerical simulations show that these lattice solitons are unstable undersmall perturbations; in fact, their size changes linearly with time.

Keywords

VERSION OF THIS SYSTEM
NUMERICAL SIMULATIONS
SOLITON DYNAMICS
LATTICE SOLITONS
NOVEL DISCRETE
BOGOMOL'NYI
SIGMA MODEL
SOLITONS

All Related Versions

Version 1, 1997-05-23, ArXiv
Published version: Nonlinearity, 10 (5), 1357.

This publication has 0 references indexed in Scilit: