ADDITIONAL CONSIDERATIONS IN THE DEFINITION AND RENORMALIZATION OF NON-COVARIANT GAUGES

Abstract

In this work, we pursue further consequences of a general formalism for non-covariant gauges developed in an earlier work (hep-th/0205042). We carry out further analysis of the additional restrictions on renormalizations noted in that work. We use the example of the axial gauge A3 = 0. We find that if multiplicative renormalization together with ghost-decoupling is to hold, the "prescription-term" (that defines a prescription) cannot be chosen arbitrarily but has to satisfy certain nontrivial conditions (over and above those implied by the validity of power counting) arising from the WT identitites associated with the residual gauge invariance. We also give a restricted class of solutions to these conditions.