Differential Renormalization of a Yukawa Model with $γ_5$

Abstract

We present a two-loop computation of the beta functions and the anomalous dimensions of a $γ_5$-Yukawa model using differential renormalization. The calculation is carried out in coordinate space without modifying the space-time dimension and no ad-hoc prescription for $γ_5$ is needed. It is shown that this procedure is specially suited for theories involving $γ_5$, and it should be considered in analyzing chiral gauge theories.