A complete analysis of the Landau-gauge three-gluon vertex from lattice QCD

TL;DR

This paper provides a comprehensive lattice QCD analysis of the Landau-gauge three-gluon vertex, focusing on its low-momentum behavior, properties like planar degeneracy, and implications for understanding the strong coupling and mass scale emergence.

Contribution

It offers the first detailed lattice determination of the Landau-gauge three-gluon vertex and investigates the property of planar degeneracy and its impact on low-momentum QCD dynamics.

Findings

Confirmation of planar degeneracy in the three-gluon vertex

Insights into the low-momentum running of the strong coupling

Implications for the emergence of a mass scale in QCD

Abstract

Several continuum and lattice investigations of the QCD three-gluon vertex have recently exposed its key properties, some intimately connected with the low-momentum behavior of the two-point gluon Green's function and specially relevant for the emergence of a mass scale in this latter, via the Schwinger mechanism. In the present study, we report on a lattice determination of the Landau-gauge, transversely projected three-gluon vertex, particularly scrutinizing an outstanding one of these properties, termed planar degeneracy, exploring its implications and capitalizing on it to gain further insight on the low-momentum running of both the three-gluon vertex and its associated strong coupling.