Further Evidence For Zero Crossing On The Three Gluon Vertex

TL;DR

This study uses lattice QCD simulations to investigate the three gluon vertex, providing evidence for a zero crossing in the gluon form factor around 220-260 MeV, which is important for Dyson-Schwinger equations.

Contribution

It offers new lattice QCD evidence supporting the zero crossing of the three gluon vertex, aligning with Dyson-Schwinger equation requirements.

Findings

Zero crossing of the gluon form factor around 220-260 MeV.

Lattice results agree with renormalisation group improved perturbation theory at high momenta.

Supports the theoretical necessity of zero crossing for Dyson-Schwinger equations.

Abstract

The three gluon one particle irreducible function is investigated using lattice QCD simulations over a large region of momentum in the Landau gauge for four dimensional pure Yang-Mills equations and the SU(3) gauge group. The results favor a zero crossing of the gluon form factor for momenta in the range $220 - 260$ MeV. This zero crossing is required to happen in order to have a properly defined set of Dyson-Schwinger equations. It is also shown that in the high momentum region the lattice results are compatible with the predictions of renormalisation group improved perturbation theory.