On the Uniqueness of the Non-Abelian Gauge Theories in Epstein-Glaser Approach to Renormalisation Theory

TL;DR

This paper demonstrates that, within the Epstein-Glaser renormalisation framework, non-Abelian gauge theories uniquely describe gluon interactions, under certain reasonable assumptions.

Contribution

It generalizes previous results by proving the uniqueness of non-Abelian gauge theories in the Epstein-Glaser approach to renormalisation.

Findings

Non-Abelian gauge theories are the only consistent gluon coupling models.

The proof is based on Epstein-Glaser renormalisation methodology.

The result relies on specific reasonable assumptions.

Abstract

We generalise a result of Aste and Scharf saying that, under some reasonable assumptions, consistent with renormalisation theory, the non-Abelian gauge theories describes the only possibility of coupling the gluons. The proof is done using Epstein-Glaser approach to renormalisation theory.