Renormalization of QCD in the interpolating momentum subtraction scheme at three loops

Abstract

We introduce a more general set of kinematic renormalization schemes than the original momentum (MOM) subtraction schemes of Celmaster and Gonsalves. These new schemes will depend on a parameter $\omega$ which tags the external momentum of one of the legs of the $3$-point vertex functions in Quantum Chromodynamics (QCD). In each of the three new schemes we renormalize QCD in the Landau and maximal abelian gauges and establish the three loop renormalization group functions in each gauge. As an application we evaluate two critical exponents at the Banks-Zaks fixed point and demonstrate that their values appear to be numerically scheme independent in a subrange of the conformal window.

arXiv comment42 latex pages, 14 tables 4 figures, anc directory contains txt file with electronic version of renormalization group functions, coupling constant mappings,conversion functions vertex functions and projection matrices

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Cited by in corpus (4)

• Reconstructing the gluon
• Scheme-Independent Calculations of Anomalous Dimensions of Baryon Operators in Conformal Field Theories
• Gauge-invariant Renormalization Scheme in QCD: Application to fermion bilinears and the energy-momentum tensor
• Non-perturbative renormalisation with interpolating momentum schemes