Bogomol'nyi Bounds for Two-Dimensional Lattice Systems

Details Bogomol'nyi Bounds for Two-Dimensional Lattice Systems Bogomol'nyi Bounds for Two-Dimensional Lattice Systems

1996-08-07

arxiv.org/abs/hep-th/9608033v1

Commun.Math.Phys. 184 (1997) 397-410

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, plainTeX, figures not included, to be published in Commun Math Phys

Scientific paper

10.1007/s002200050065

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.

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