On classical Yang-Mills equations with weak external sources

A method proposed by Jackiw, Jacobs and Rebbi for solving classical Yang-Mills equations with external color charges by an expansion of solution in powers of the external color charge is applied in order to find gauge potentials generated by the external color charge with Hopf index +-1. This topologically non-trivial charge turns out to support non-Abelian Coulomb type solution. A gauge invariant expression for energy in the presence of external currents is also proposed. (Auth.)