Soliton dynamics in a novel discrete O(3) sigma model in (2 + 1) dimensions
- 1 September 1997
- journal article
- Published by IOP Publishing in Nonlinearity
- Vol. 10 (5) , 1357-1367
- https://doi.org/10.1088/0951-7715/10/5/019
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 under small perturbations; in fact, their size changes linearly with time.Keywords
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