Constrained Differential Renormalization of Yang-Mills Theories

TL;DR

This paper applies constrained differential renormalization to QCD in coordinate space at one loop, demonstrating that it preserves the Slavnov-Taylor identities, thus maintaining gauge invariance.

Contribution

It introduces a method for renormalizing Yang-Mills theories that preserves gauge identities at one loop in coordinate space.

Findings

Slavnov-Taylor identities are preserved by the method

Renormalization is successfully performed in coordinate space

Method maintains gauge invariance at one loop

Abstract

We renormalize QCD to one loop in coordinate space using constrained differential renormalization, and show explicitly that the Slavnov-Taylor identities are preserved by this method.