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

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

2006-05-05

arxiv.org/abs/hep-th/0605064v3

Nucl.Phys.B752:391-403,2006

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/j.nuclphysb.2006.06.015

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.

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