@article{cfeaae3d39974fe1aad38664b042d509,
title = "Nonintegrability 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 Painlev{\'e} property. This fact suggests that these equations are not integrable.",
author = "Takeo Inami and Shie Minakami and Muneto Nitta",
note = "Funding Information: We would like to thank Ed Corrigan, Shun'ya Mizoguchi, Keisuke Ohashi, Alexander D. Popov, Koichi Toda for valuable comments. T.I. acknowledges supports from JSPS grants, Kiban C. and Kiban B. The work of M.N. was supported by JSPS under the Post-doctoral Research Program. T.I. and S.M. would like to thank C.S. Chu and Anne Taormina for the hospitality at Mathematical Science Department of University of Durham, where a part of the present work was done.",
year = "2006",
month = sep,
day = "25",
doi = "10.1016/j.nuclphysb.2006.06.015",
language = "English",
volume = "752",
pages = "391--403",
journal = "Nuclear Physics B",
issn = "0550-3213",
publisher = "Elsevier",
number = "3",
}