On the Yang-Mills propagator at strong coupling

TL;DR

This paper explores the non-perturbative behavior of the Yang-Mills propagator at strong coupling using the concept of Effective Locality, providing new insights into gluonic Green's functions in this regime.

Contribution

It introduces a novel application of Effective Locality to analyze the gluonic propagator in non-perturbative Yang-Mills theory, simplifying complex calculations.

Findings

Demonstrates the impact of Effective Locality on the gluonic propagator

Provides a non-perturbative calculation method for strong coupling regimes

Highlights the potential for new analytical approaches in Yang-Mills theory

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 have been presented in a recent letter in the Yang-Mills theory on Minkowski spacetime. While quickly recalled in the current paper, these results are used to calculate the problematic gluonic propagator in the Yang-Mills non-perturbative regime.