Non-integrability of Self-dual Yang-Mills-Higgs System

Abstract

We examine integrability of self-dual Yang-Mills system in the Higgs phase, with taking simpler cases of vortices and domain walls. We show that the vortex equations and the domain-wall equations do not have Painleve property. This fact suggests that these equations are not integrable.

arXiv comment15 pages, no figures, v2: references added, v3: typos corrected, the final version to appear in NPB

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Cited by in corpus (9)

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• Classifying bions in Grassmann sigma models and non-Abelian gauge theories by D-branes
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