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 A_3=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 non-trivial conditions (over and above those implied by the validity of power counting) arising from the WT identities associated with the residual gauge invariance. We also give a restricted class of solutions to these conditions.

13 pages, Latex2e file; v2:Some conclusions from an analysis of (17)-(18) added; minor additional changes; This version to appear in MPLA

References in corpus (1)

• Some Observations on Non-covariant Gauges and the epsilon-term

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• Relating Calculations and Renormalization in Axial and Lorentz Gauges and Gauge-independence