Differential Renormalization of a Yukawa Model with ${\gamma }_5$

Abstract

We present a two-loop computation of the beta functions and the anomalous dimensions of a ${\gamma }_5$-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 ${\gamma }_5$ is needed. It is shown that this procedure is specially suited for theories involving ${\gamma }_5$, and it should be considered in analyzing chiral gauge theories.

13 pages, Latex, 3 figures upon request, NBI-HE-92-74

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