ASYMPTOTIC NORMALIZATION PROPERTIES AND MASS-INDEPENDENT RENORMALIZATION-GROUP FUNCTIONS

Mass independent renormalization group functions in massive theories a re related to normalization properties of the Green functions in the a symptotic region, where mass effects are neglected. In this special fo rm the renormalization group invariance is restricted to the asymptoti c region and consequently mass effects cannot be recovered by a integr ation of the renormalization group equation. It is shown, that mass in dependence results in the limit of a large normalization point, whenev er a Callan-Symanzik equation exists and contains the same differentia l operators as the renormalization group equation.