Operator Regularization of Feynman diagrams at multi-loop order

Abstract: It may be possible to use operator regularization with Feynman diagrams, which would greatly simplify its use as it has so far been limited to the more complicated Schwinger approach. Operator regularization, unlike $\zeta$-function regularization, is not limited to one-loop order, and preserves supersymmetry unlike dimensional regularization. In practice the use of operator regularization in the context of Feynman diagrams is found not to complicate the calculation.