Potential of Interaction between Non-Abelian Charges in the Yang-Mills-Higgs Model

The problem of two nonrelativistic chromoelectric and chromomagnetic charges in a Higgs vacuum is considered in classical field theory. An approximation of interaction potential is constructed on the basis of a numerical solution to the equations of gluostatics. The concept of a non-Abelian Abrikosov vortex is discussed. It is shown that the results of Ginzburg-Landau theory for the tension of a string between magnetic charges can be directly extended to the non-Abelian case.