Effective Locality in the pure gluon sector

TL;DR

This paper explores the concept of Effective Locality in Yang--Mills theory, demonstrating a non-perturbative property similar to that found in QCD's fermionic Green's functions, but in a simpler context.

Contribution

It introduces and analyzes Effective Locality within pure Yang--Mills theory, providing a clearer understanding of this non-perturbative phenomenon outside of full QCD.

Findings

Effective Locality is demonstrated in Yang--Mills theory on Minkowski spacetime.

The paper simplifies the understanding of a property originally observed in QCD.

Insights into non-perturbative aspects of gauge theories are provided.

Abstract

About twelve years ago the use of standard functional manipulations was demonstrated to imply an unexpected property satisfied by the fermionic Green's functions of $QCD$. This non-perturbative phenomenon is dubbed Effective Locality. In a much simpler way than in $QCD$, the most remarkable and intriguing aspects of Effective Locality are presented here, in the Yang--Mills theory on Minkowski spacetime.