Implicit Regularization and Renormalization of QCD

TL;DR

This paper demonstrates that the Implicit Regularization Technique (IR) effectively preserves gauge symmetry and handles divergences in both massive and massless QCD, ensuring consistency with Slavnov-Taylor identities at one loop.

Contribution

It shows that IR maintains gauge invariance and manages divergences uniformly in non-abelian gauge theories like QCD.

Findings

IR preserves gauge symmetry via Slavnov-Taylor identities.

IR handles divergences in massive and massless QCD equally.

IR is effective at one-loop level in non-abelian gauge theories.

Abstract

We apply the Implicit Regularization Technique (IR) in a non-abelian gauge theory. We show that IR preserves gauge symmetry as encoded in relations between the renormalizations constants required by the Slavnov-Taylor identities at the one loop level of QCD. Moreover, we show that the technique handles divergencies in massive and massless QFT on equal footing.