# On the non-perturbative realization of QCD gauge-invariance

## TL;DR

This paper reviews and refines the concept of effective locality in QCD, a non-perturbative property arising from full gluonic integration, shedding light on gauge invariance realization.

## Contribution

It provides a corrected and enhanced review of effective locality derivations, deepening understanding of non-perturbative gauge invariance in QCD.

## Key findings

- Effective locality is a non-perturbative property of QCD.
- Review and correction of previous derivations of effective locality.
- Deeper insight into gauge invariance in the non-perturbative regime.

## Abstract

A few years ago the use of standard functional manipulations was demonstrated to imply an unexpected property satisfied by the fermionic Green's functions of QCD: effective locality. This feature of QCD is non-perturbative as it results from a full integration of the gluonic degrees of freedom. In this paper, previous derivations of effective locality are reviewed, corrected, and enhanced. Focussing on the way non-abelian gauge invariance is realized in the non-perturbative regime of QCD, the deeper meaning of effective locality is discussed.