The field strength correlator from QCD sum rules

TL;DR

This paper uses QCD sum rules to analyze the gauge-invariant gluon field strength correlator, establishing a link between the gluon correlation length and the gluon condensate.

Contribution

It introduces a novel approach connecting the gluon correlator to a quark-gluon hybrid two-point function in the heavy quark limit.

Findings

Derived a relation between gluon correlation length and gluon condensate.

Established a method to analyze gauge-invariant correlators using QCD sum rules.

Provided insights into non-perturbative gluon dynamics.

Abstract

The gauge invariant two-point correlator for the gluon field strength tensor in analysed by means of the QCD sum rule method. To this end, we make use of a relation of this correlator to a two-point function for a quark-gluon hybrid in the limit of the quark mass going to infinity. From the sum rules a relation between the gluon correlation length and the gluon condensate is obtained.