On the absence of logarithmic growths in mass parameters in renormalized perturbation theory. II: Generalized conditions

Abstract

In an earlier paper rules were developed which guarantee the absence of logarithmic growths in mass parameters in renormalized perturbation theory in Euclidean space with nonexceptional momenta. In the present paper, the rules are generalized thus the latter being applicable to a large class of graphs. The rules are easy to apply and to verify in terms of the structure of the proper and connected graph in question. All subtractions of renormalization are carried out directly in momentum space, about the origin, with the degree of divergence of a subtraction coinciding with the dimensionality of the corresponding subdiagram.