Nonperturbative quark-gluon dynamics

TL;DR

This paper investigates the nonperturbative quark-gluon interactions in Landau gauge QCD, revealing how chiral symmetry breaking influences the infrared behavior of the potential and coupling, thus linking confinement and chiral symmetry breaking.

Contribution

It provides an analytical analysis of the infrared behavior of the quark-gluon vertex, showing how chiral symmetry breaking affects the potential and coupling in Landau gauge QCD.

Findings

Infrared singularities in the quark-gluon vertex lead to a divergent coupling and linear potential when chiral symmetry is broken.

Chirally symmetric case exhibits an infrared fixed point and Coulomb potential.

The results connect dynamical chiral symmetry breaking with confinement mechanisms.

Abstract

We summarize recent results on the nonperturbative quark-gluon interaction in Landau gauge QCD. Our analytical analysis of the infrared behaviour of the quark-gluon vertex reveals infrared singularities, which lead to an infrared divergent running coupling and a linear rising quark-antiquark potential when chiral symmetry is broken. In the chirally symmetric case we find an infrared fixed point of the coupling and, correspondingly, a Coulomb potential. These findings provide a new link betwen dynamical chiral symmetry breaking and confinement.