The four-gluon and ghost-gluon vertices in the Landau gauge from lattice simulations

TL;DR

This paper presents lattice simulation results for the four-gluon and ghost-gluon vertices in Landau gauge, improving IR coverage and analyzing the ghost-gluon Green function across a wide momentum range.

Contribution

It provides updated lattice data for the four-gluon vertex in collinear kinematics and detailed results for the ghost-gluon Green function in the soft gluon limit.

Findings

Enhanced IR coverage of the four-gluon vertex

Precise computation of the ghost-gluon Green function at large momenta

Improved understanding of vertex behavior in Landau gauge

Abstract

The computation of the four-gluon and ghost-gluon vertices in the Landau gauge using high statistical lattice ensembles for $32^4$ and $48^4$ volumes is addressed. For the four-gluon vertex, our previous results for the collinear kinematics are updated allowing to get a better coverage of the IR region. Furthermore, the one-particle irreducible ghost-gluon Green function in the soft gluon limit is computed covering, with precision, a large momentum region.