Bogomol'nyi Bounds for Two-Dimensional Lattice Systems

Preprint

7 August 1996

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-th/9608033

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.

Keywords

VERSIONS OF THESE SYSTEMS
TWO DIMENSIONAL LATTICE
BOGOMOL'NYI BOUNDS
LATTICE SYSTEMS
SIGMA MODEL

All Related Versions

Version 1, 1996-08-07, ArXiv
Published version: Communications in Mathematical Physics, 184 (2), 397.

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