What Lattice QCD tell us about the Landau Gauge Infrared Propagators

TL;DR

This paper reviews lattice QCD calculations of the Landau gauge gluon propagator, focusing on its infrared behavior, modeling with massive and Gribov propagators, and exploring a momentum-dependent gluon mass.

Contribution

It introduces a detailed analysis of lattice data using multiple mass scales and proposes a functional form for a momentum-dependent gluon mass.

Findings

Four different mass scales are needed to fit the propagator data.

The behavior of the gluon propagator at zero momentum is examined.

A possible functional dependence of the gluon mass on momentum is sketched.

Abstract

The calculation of the Landau gauge gluon propagator performed in Coimbra using lattice QCD simulations is reviewed. Particular attention is given to the behavior of the gluon propagator in the infrared region and the value of $D(0)$. In the second part of the article, the modeling of the lattice data using massive type propagators and Gribov type propagators is discussed. Four different mass scales are required to describe the propagator over the full range of momenta accessed by the simulations discussed here. Furthermore, assuming a momentum dependent gluon mass, we sketch on its functional dependence.