Asymptotic freedom and the "color" gauge group

Abstract

In the light of a recent discovery by Chang that there exist particular solutions to the renormalization-group equations which may render a field theory asymptotically free even though the general solutions do not, we present a gauge model of superstrong quark interactions based on local SU(2) in which functional conditions are imposed on the coupling constants so that the theory remains asymptotically free despite the complete breakdown of symmetry which occurs by way of the Higgs mechanism. This model is also highly realistic in the sense that it is consistent with the usual quark phenomenology, in addition to providing a clue to the dynamics involved.