Operator Regularization of Feynman diagrams at multi-loop order

TL;DR

This paper explores the application of operator regularization to Feynman diagrams at multi-loop order, highlighting its advantages over traditional methods like zeta-function and dimensional regularization.

Contribution

It demonstrates that operator regularization can be effectively applied to Feynman diagrams beyond one-loop, simplifying calculations and preserving supersymmetry.

Findings

Operator regularization can be used with Feynman diagrams at multi-loop order.

It does not complicate calculations compared to traditional methods.

Preserves supersymmetry unlike dimensional regularization.

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.