CONSISTENCY CONDITIONS FOR 4-D REGULARIZATIONS

From the study of well-known divergent amplitudes we deduce three cons istency conditions which are necessary and sufficient to eliminate amb iguities and symmetry violations. The conditions relate divergent inte grals of the same degree of divergence and are automatically satisfied within the context of dimensional regularization. We show how the ded uced consistency conditions can be satisfied in four-dimensional regul arizations. An important conclusion of the present study is the possib ility of working with PD regularization schemes which preserve the vir tues of dimensional regularization avoiding, however, its restrictions .