SYMBOLIC ALGEBRA AND RENORMALIZATION OF GAUGE-THEORIES

Symbolic algebra relevant to the renormalization of gauge theories can be efficiently performed by machine using modem packages. We devise a scheme for representing and manipulating the objects involved in pert urbative calculations of gauge theories. This scheme is readily implem ented using the general purpose package, Mathematica. The techniques d iscussed are used to calculate renormalization group functions for a n on-abelian SU(m) gauge theory with massless fermions in a representati on R, in the two-loop approximation, and to simplify some expressions arising in electroweak calculations at the two loop level.