One-loop renormalization of the Yang-Mills theory with BRST-invariant mass term

TL;DR

This paper calculates the one-loop divergences in a Yang-Mills theory with a BRST-invariant mass term, ensuring the results preserve gauge symmetry and define the running parameters of the theory.

Contribution

It provides the first explicit calculation of the one-loop effective action divergences in a BRST-invariant massive Yang-Mills theory using a generalized t'Hooft-Veltman technique.

Findings

BRST-invariant divergence expression obtained

Defines the running mass and coupling constant

Maintains gauge invariance in the renormalization process

Abstract

Divergent part of the one-loop effective action for the Yang-Mills theory in a special gauge containing forth degrees of ghost fields and allowing addition of BRST-invariant mass term is calculated by the generalized t'Hooft-Veltman technique. The result is BRST-invariant and defines running mass, coupling constant and parameter of the gauge.