On the finiteness of the BRS modulo-d cocycles

TL;DR

This paper investigates the properties of ladder structures of differential forms in gauge theories, demonstrating their renormalization behavior and providing a proof for the nonrenormalization of nonabelian gauge anomalies.

Contribution

It introduces a framework for analyzing the renormalization of descent equations and proves the nonrenormalization theorem for nonabelian gauge anomalies.

Findings

Ladders of differential forms obey renormalized descent equations

These forms have vanishing anomalous dimensions

Provides a simple proof of the nonrenormalization of nonabelian gauge anomalies

Abstract

Ladders of field polynomial differential forms obeying systems of descent equations and corresponding to observables and anomalies of gauge theories are renormalized. They obey renormalized descent equations. Moreover they are shown to have vanishing anomalous dimensions. As an application a simple proof of the nonrenormalization theorem for the nonabelian gauge anomaly is given.