Background gauge renormalization and BRST identities

TL;DR

This paper demonstrates how BRST identities can be utilized to manage background gauge renormalization in QCD, providing an all-orders renormalized effective action despite the omission of certain graphs.

Contribution

It introduces a method to control background gauge renormalization in QCD using BRST identities, including all orders of perturbation theory.

Findings

BRST identities effectively control background gauge renormalization

All orders renormalized effective action derived

Omission of one-particle reducible graphs does not hinder renormalization

Abstract

We show that the BRST identities can be used to control the renormalization of the background gauge in QCD, in spite of the fact that one-particle reducible graphs have to be omitted. We obtain the all orders renormalized affective action for the background field theory.