Another look at the three-gluon vertex in the minimal Landau gauge

TL;DR

This study revisits the three-gluon vertex in Landau gauge using large lattice volumes and improved methods to reduce uncertainties, focusing on low-energy behavior and ghost dominance in quantum chromodynamics.

Contribution

It provides a refined lattice calculation of the three-gluon vertex with enhanced accuracy and insights into its low-energy properties and relation to ghost dominance.

Findings

Reduced statistical uncertainties in the three-gluon vertex measurement

Detailed analysis of low-energy behavior of the vertex

Insights into the relation between the vertex and ghost dominance

Abstract

The lattice three-gluon vertex in the Landau gauge is revisited using a large physical volume $\sim(8\textrm{fm})^4$ and a large statistical ensemble. The improved calculation explores the symmetries of the hypercubic lattice to reduce the statistical uncertainties and addresses the evaluation of the lattice artefacts. Special attention is given to the low energy behaviour of the vertex and its relation to ghost dominance.