A first survey of the ghost-gluon vertex in the Gribov-Zwanziger framework

TL;DR

This paper investigates the ghost-gluon vertex within the Gribov-Zwanziger framework, demonstrating that it aligns well with lattice simulations and Schwinger-Dyson solutions, thus supporting the framework's effectiveness in describing infrared QCD phenomena.

Contribution

First analytical exploration of the ghost-gluon vertex in the Gribov-Zwanziger framework at one-loop level, extending understanding of higher correlation functions in this approach.

Findings

Analytical results compatible with lattice gauge theory simulations.

Results align with Schwinger-Dyson equation solutions.

Supports the RGZ framework's validity for infrared correlation functions.

Abstract

As the restriction of the gauge fields to the Gribov region is taken into account, it turns out that the resulting gauge field propagators display a nontrivial infrared behavior, being very close to the ones observed in lattice gauge field theory simulations. In this work, we explore for the first time a higher correlation function in the presence of the Gribov horizon: the ghost-anti-ghost-gluon interaction vertex, at one-loop level. Our analytical results (within the so-called Refined Gribov Zwanziger theory) are fairly compatible with lattice YM simulations, as well as with solutions from the Schwinger-Dyson equations. This is an indication that the RGZ framework can provide a reasonable description in the infrared not only of gauge field propagators, but also of higher correlation functions, such as interaction vertices.