Confinement Mechanism in the Field Correlator Method

TL;DR

This paper explores the confinement mechanism in QCD through the field correlator method, linking vacuum fluctuations, two different energy scales, and gluelump dynamics to provide a self-consistent confinement scheme.

Contribution

It introduces a self-consistent scheme connecting gauge-invariant correlators with gluelump Green's functions to explain confinement in QCD.

Findings

Confinement is linked to a specific two-point gauge-invariant correlator.

The correlator can be expressed via gluelump Green's functions.

The scheme predicts permanent confinement below the critical temperature.

Abstract

Confinement in QCD is caused by vacuum fluctuations of gluon fields. There are two numerically different scales, characterizing nonperturbative QCD vacuum dynamics: a "small" scale, corresponding to gluon condensate, critical temperature etc, which is about 0.2-0.3 GeV, and a "large" one, given by inverse confining string width, glueball and gluelump masses etc, which is about 1.5-2.5 GeV. We discuss this mismatch in a picture where confinement is ensured by two-point gauge-invariant field strength correlator of special type. It supports most of perturbative and nonperturbative dynamics, while contribution of other terms is argued to be small. This object, on the other hand, can be expressed via gluelump Green's function, whose dynamics is defined in terms of the same correlator. In this way one obtains a self-consistent scheme of mean-field type leading to permanent confinement at temperatures less than the critical one.