Quark propagator, instantons and gluon propagator

TL;DR

This paper uses the Schwinger-Dyson formalism to compare instanton model solutions for the quark propagator with confining gluon models, revealing significant inconsistencies and missing condensates.

Contribution

It demonstrates the inconsistency between instanton models and confining gluon propagators within the Schwinger-Dyson framework.

Findings

Instanton models lack a vector condensate present in confining gluon solutions.

Models are not compatible within the Schwinger-Dyson formalism.

Highlights the need for revised models to incorporate missing condensates.

Abstract

The Schwinger-Dyson formalism is used to check the consistency of instanton model solutions for the quark propagator with recent models of confining gluon propagators. We find that the models are not consistent. A major discrepancy is the absence of a vector condensate in the instanton model that is present in the solutions with nonperturbative confining gluons.