From Running Gluon Mass to Chiral Symmetry Breaking

TL;DR

This paper investigates the Landau gauge gluon propagator from lattice QCD, interprets it as a massive propagator, measures the gluon mass at various momenta, and explores its connection to chiral symmetry breaking through an effective model.

Contribution

It provides a lattice QCD analysis of the gluon propagator as a massive particle and links gluon mass to chiral symmetry breaking in QCD.

Findings

Gluon propagator can be interpreted as a massive propagator.

Gluon mass varies with momentum, especially at infrared scales.

Gluon mass is related to chiral symmetry breaking via an effective model.

Abstract

The gluon propagator is one of the fundamental Green's functions of QCD. It is an essential ingredient in, for example, the modeling of the Schwinger-Dyson equation used to describe hadronic phenomenology. From the Landau gauge gluon propagator, computed with lattice QCD methods, we discuss its interpretation as a massive propagator and measure the gluon mass as a function of the momenta. Special attention is given to the mass at infrared scales. In the last part of the talk, the gluon mass and chiral symmetry breaking are related via an effective model for QCD.