Formula for two-loop divergent part of 4-D Yang-Mills effective action

TL;DR

This paper derives a new formula for the two-loop divergent part of the 4D Yang-Mills effective action, applicable across various regularization schemes, and confirms its consistency with existing results.

Contribution

The paper introduces a novel formula for the two-loop divergence in Yang-Mills theory based on Green's function expansion, enhancing computational methods.

Findings

Formula is consistent with dimensional regularization results

Applicable to different regularization schemes

Provides a new computational tool for Yang-Mills divergences

Abstract

In the paper, we study the two-loop contribution to the effective action of the four-dimensional quantum Yang-Mills theory. We derive a new formula for the contribution in terms of three functions, formed from the Green's function expansion near the diagonal. This result can be applied to different types of regularization. Therefore, we test it by using the dimensional regularization and cutoff ones and show the consistence with the results, obtained in other works.