Gauge Consistent Wilson Renormalization Group II: Non-Abelian Case

TL;DR

This paper develops a Wilsonian formulation for non-Abelian gauge theories that maintains gauge consistency and investigates key issues like unitarity and gauge dependence, including a one-loop QCD beta function calculation.

Contribution

It introduces a Wilsonian approach for non-Abelian gauge theories that respects axial gauge Ward identities and addresses unitarity and gauge dependence concerns.

Findings

Consistent Wilsonian formulation for non-Abelian gauge theories.

Analysis of unitarity and gauge dependence issues.

One-loop QCD beta function computed.

Abstract

We give a wilsonian formulation of non-abelian gauge theories explicitly consistent with axial gauge Ward identitities. The issues of unitarity and dependence on the quantization direction are carefully investigated. A wilsonian computation of the one-loop QCD beta function is performed.