It is remarked that, if the gauge group is not compact, finite-time blowing-up Yang-Mills fields over the Minkowski spaces may exist. The example taken is G = SU(2,ℂ). It is shown that blow-up can occur in an arbitrarily small time interval when the initial data of the fields are suitably chosen.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics