Generalized conditions for the distributional zero-mass limit of renormalized Feynman amplitudes in Minkowski space

Abstract

Generalized conditions (rules) are set up for the existence of the distributional zero-mass limit of renormalized Feynman amplitudes inMinkowski space. These rules are generalizations of rules we have set up earlier and hence are applicable to a larger class of graphs. The study is very general as the vanishing masses are led to vanish at different rates. 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.