CLASSICAL STATIC AND STATIC SPHERICALLY SYMMETRIC SOLUTIONS OF SU(N) GAUGE THEORY WITH EXTERNAL EXTENDED SOURCE

<正> General forms of time-dependence of static solutions in the wide sense are obtained for SU(N) Yang-Mills equations with static external extended source. Existence of a gauge transformation which causespotentials to be time-independent is shown. Static spherically symmetric solutions of SU(N) gauge theoryin the wide sense are shown to be Coulomb solutions, if the static and spherically symmetric external extendedsource is nonuniform in some domains.