Abstract

The method proposed by Jackiw, Jacobs and Rebbi for solving classical Yang-Mills equations with external color changes by an expansion of the solution in powers of the external color change is applied in order to find gauge potentials A μ a generated by the external color charge with Hopf index ±1. This topologically non-trivial charge turns out to support a non-abelian Coulomb type solution. We also propose a gauge invariant expression for the energy in the presence of external currents.

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