One-loop counterterms for higher derivative regularized Lagrangians

TL;DR

This paper demonstrates that higher derivative regularization yields consistent one-loop divergences in field theories, matching dimensional regularization results and confirming its validity at the one-loop level.

Contribution

It explicitly calculates one-loop divergences using higher derivative regularization, showing their agreement with dimensional regularization and confirming the method's consistency.

Findings

Higher derivative regularization results match dimensional regularization.

One-loop divergences are independent of the regularizing term's form.

The method's consistency is proven at the one-loop level for various theories.

Abstract

We explicitly calculate one-loop divergences for an arbitrary field theory model using the higher derivative regularization and nonsingular gauge condition. They are shown to agree with the results found in the dimensional regularization and do not depend on the form of regularizing term. So, the consistency of the higher derivative regularization is proven at the one-loop level. The result for the Yang-Mills theory is reproduced.