The 3-loop Beta Function of QCD

Abstract

Using the background field technique, we calculate the 3-loop beta function of lattice $SU(N)$ gauge theories. In the pure gluonic case, we present our results, comparing to those recently obtained by Luescher and Weisz. We also provide a progress report in the case of QCD with Wilson fermions.

Comments: 3 pgs. Latex source, espcrc2.sty not included. Talk presented at LATTICE96(theoretical developments)