From propagators to glueballs in the Gribov-Zwanziger framework

TL;DR

This paper reviews how the refined Gribov-Zwanziger framework models gluon and ghost propagators in Yang-Mills theory and explores the extraction of physical glueball observables from these models.

Contribution

It discusses the current understanding of propagators in the RGZ framework and examines the construction of glueball operators within this approach.

Findings

Ghost propagator is not enhanced in lattice data

Gluon propagator shows positivity violation and infrared suppression

The RGZ framework accommodates these propagator behaviors

Abstract

Over the last years, lattice calculations in pure Yang-Mills gauge theory seem to have come more or less to a consensus. The ghost propagator is not enhanced and the gluon propagator is positivity violating, infrared suppressed and non-vanishing at zero momentum. From an analytical point of view, several groups are agreeing with these results. Among them, the refined Gribov-Zwanziger (RGZ) framework also accommodates for these results. The question which rises next is, if our models hold the right form for the propagators, how to extract information on the real physical observables, i.e. the glueballs? How do the operators which represent glueballs look like? We review the current status of this matter within the RGZ framework.