Schwinger-Dyson equations for gauge-invariant correlators

TL;DR

This paper extends the Schwinger-Dyson formalism for Wilson loops to include connected correlators, enabling gauge-invariant analysis of glueball propagators and interactions without gauge-dependent fields.

Contribution

It introduces an extended formalism for Schwinger-Dyson equations that incorporates connected correlators for gauge-invariant studies.

Findings

Extended formalism developed for Wilson loop correlators

Initial steps towards solving gauge-invariant correlators

Potential to study glueball dynamics without gauge fixing

Abstract

The formalism for Schwinger-Dyson equations of Wilson loops, as developed by Eguchi, Weingarten, and Foerster, is extended to include connected correlators. These should allow one to study propagators and interactions of glueball fields without having to handle gauge dependent fields such as gluons an ghosts. Some steps towards a solution are made.