POSSIBILITY OF CONFINEMENT FOR SOME CLASS OF SOLUTIONS IN THE YANG-MILLS-HIGGS MODEL

The problem of two nonrelativistic Yang-Mills charges in the Higgs vac uum is considered in classical field theory. A system of gluostatic eq uations involving a Higgs field is derived. The possibility is conside red that charges of arbitrary positions in isotopic space can be confi ned owing to the fact that the gluomagnetic field generated by non-Abe lian charges is compressed by a Higgs condensate. The confining mechan ism peculiar only to the non-Abelian case-the total screening of a glu omagnetic field-is also discussed.