New insights on non-perturbative Yang-Mills

TL;DR

This paper reviews recent non-perturbative results on the infrared behavior of gluon and ghost propagators in Yang-Mills theories, highlighting the role of dynamical gluon mass generation and agreement with lattice simulations.

Contribution

It introduces a gauge-invariant truncation scheme for Schwinger-Dyson equations that explains gluon mass generation and matches lattice results.

Findings

Infrared finite gluon propagator and ghost dressing function

Dynamical gluon mass generated via Schwinger mechanism

Good agreement with SU(3) lattice simulation data

Abstract

In this talk we review some recent results on the infrared properties of the gluon and ghost propagators in pure Yang-Mills theories. These results are obtained from the corresponding Schwinger-Dyson equation formulated in a special truncation scheme, which preserves gauge invariance. The presence of massless poles in the three gluon vertex triggers the generation of a dynamical gluon mass (Schwinger mechanism in d=4), which gives rise to an infrared finite gluon propagator and ghost dressing function. As a byproduct of this analysis we calculate the Kugo-Ojima function, required for the definition of the non-perturbative QCD effective charge within the pinch technique framework. We show that the numerical solutions of these non-perturbative equations are in very good agreement with the results of SU(3) lattice simulations.