Bogomol'nyi Bounds for Two-Dimensional Lattice Systems
High Energy Physics - Theory
2009-10-30 v1 High Energy Physics - Lattice
Abstract
The O(3) sigma model and abelian Higgs model in two space dimensions admit topological (Bogomol'nyi) lower bounds on their energy. This paper proposes lattice versions of these systems which maintain the Bogomol'nyi bounds. One consequence is that instantons/solitons/vortices on the lattice then have a high degree of stability.
Cite
@article{arxiv.hep-th/9608033,
title = {Bogomol'nyi Bounds for Two-Dimensional Lattice Systems},
author = {R. S. Ward},
journal= {arXiv preprint arXiv:hep-th/9608033},
year = {2009}
}
Comments
17 pages, plainTeX, figures not included, to be published in Commun Math Phys