On spin dependent potentials in supersymmetric QCD

Abstract

Starting from the supersymmetric extension of the nonabelian path dependent phase factor we try to get an understanding of the physical role of its components. We extend to SUSY-QCD (broken or unbroken) the technique of expanding the quark propagator in gauge field background in terms of inverse powers of quark mass which has been used earlier by Eichten and Feinberg to study spin dependent quark potentials in QCD. The contribution to the $$Q\bar Q$$ potential induced by gluino exchange is expressed in terms of gluino insertions into the Wilson loop. A rough quantitative estimate is given on the basis of perturbation theory. Finally the extension to the $$S\bar Q$$ and 3Q system is discussed.