The Crewther relation, schemes, gauges and fixed points

Abstract

We investigate the Crewther relation at high loop order in a variety of renormalization schemes and gauges. By examining the properties of the relation in schemes other than modified minimal subtraction (MSbar) at the fixed points of Quantum Chromodynamics we propose a generalization of the Crewther relation that extends the MSbar construction of Broadhurst and Kataev. A derivation based on the properties of the renormalization group equation is provided for the generalization which is tested in various scenarios.

51 latex pages, 10 tables, anc directory contains additional tables and a txt file with the electronic version of results for a general colour group, minor text changes and additional references