Bogomol'nyi bounds for two-dimensional lattice systems

DOI10.1007/S002200050065zbMATH Open0872.58078arXivhep-th/9608033OpenAlexW3099456134MaRDI QIDQ1357460

R. S. Ward

Publication date: 19 October 1997

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/hep-th/9608033

zbMATH Keywords

lattice systemsBogomol'nyi bounds

Mathematics Subject Classification ID

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