A modified renormalization procedure which may avoid use of bare parameters

A new renormalization procedure is introduced via a method that assigns finite values to divergent expressions in quantum field theory. It is shown that this procedure works at the two‐loop level in Feynman diagrams with overlapping divergences. Applications to λφ4 theory and quantum electrodynamics are made. Also, the Casimir effect is evaluated. Comparison of these results with those from standard renormalization methods proves them to be coincident.