Non-integrability of Self-dual Yang-Mills-Higgs System
High Energy Physics - Theory
2008-11-26 v3
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.
Keywords
Cite
@article{arxiv.hep-th/0605064,
title = {Non-integrability of Self-dual Yang-Mills-Higgs System},
author = {Takeo Inami and Shie Minakami and Muneto Nitta},
journal= {arXiv preprint arXiv:hep-th/0605064},
year = {2008}
}
Comments
15 pages, no figures, v2: references added, v3: typos corrected, the final version to appear in NPB