On the leading OPE corrections to the ghost-gluon vertex and the Taylor theorem

TL;DR

This paper investigates non-perturbative corrections to the ghost-gluon vertex in Landau gauge, focusing on the Taylor limit, and proposes a model consistent with lattice data.

Contribution

It provides an analysis of OPE corrections to the ghost-gluon vertex and introduces a simple model aligned with lattice results.

Findings

Non-perturbative corrections are significant in the ghost-gluon vertex.

The proposed model agrees with lattice data in the Taylor limit.

OPE analysis clarifies the behavior of the vertex at non-perturbative levels.

Abstract

This brief note is devoted to a study of genuine non-perturbative corrections to the Landau gauge ghost-gluon vertex in terms of the non-vanishing dimension-two gluon condensate. We pay special attention to the kinematical limit which the bare vertex takes for its tree-level expression at any perturbative order, according to the well-known Taylor theorem. Based on our OPE analysis, we also present a simple model for the vertex, in acceptable agreement with lattice data.