Gluon and Ghost Dynamics from Lattice QCD

TL;DR

This paper uses lattice QCD simulations to study gluon and ghost correlation functions and the three gluon vertex in Landau gauge, analyzing their continuum limit, spectral functions, and specific kinematic configurations.

Contribution

It provides new lattice QCD results on gluon and ghost propagators, spectral functions, and the three gluon vertex, including their behavior at different lattice spacings and volumes.

Findings

Approach to the continuum limit for two-point functions

Spectral functions of propagators computed with Tikhonov regularisation

Results on the three gluon vertex at zero momentum transfer

Abstract

The two point gluon and ghost correlation functions and the three gluon vertex are investigated, in the Landau gauge, using lattice simulations. For the two point functions, we discuss the approach to the continuum limit looking at the dependence on the lattice spacing and volume. The analytical structure of the propagators is also investigated by computing the corresponding spectral functions using an implementation of the Tikhonov regularisation to solve the integral equation. For the three point function we report results when the momentum of one of the gluon lines is set to zero and discuss its implications.