Algebraic characterization of the Wess-Zumino consistency conditions in gauge theories

TL;DR

This paper introduces an algebraic method using a new operator to solve the descent equations related to Wess-Zumino consistency conditions in gauge theories, with detailed application to Yang-Mills theories.

Contribution

It presents a novel algebraic approach to solving descent equations by decomposing the exterior derivative as a BRS commutator, enhancing understanding of gauge theory anomalies.

Findings

New operator $\delta$ simplifies descent equations

Method applied successfully to Yang-Mills theories

Provides a systematic algebraic framework for gauge anomalies

Abstract

A new way of solving the descent equations corresponding to the Wess-Zumino consistency conditions is presented. The method relies on the introduction of an operator $\delta$ which allows to decompose the exterior space-time derivative $d$ as a $BRS$ commutator. The case of the Yang-Mills theories is treated in detail.