Abstract

A general modification of renormalization schemes in gauge quantum field theories, that fixes a running gauge parameter a(Q 2) → a = const is proposed. It is based on nonlocal counter-terms ΔL = {ƒ(□)(∂B)} 2 2a . The resulting simplification of the renorm-group analysis in gauge-dependent QCD destroys the threats to the asymptotic freedom that have recently been observed in several MOM schemes. The nonlocality of the counter-terms used is of a formal type as these can be absorbed by a gradient transformation of the vector potential B μ . Analysis of this transformation reveals a singularity at the point a = 0.

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