Studying the infrared region in Landau gauge QCD

TL;DR

This paper investigates the infrared behavior of ghost and gluon propagators in Landau gauge QCD, comparing lattice results with Dyson-Schwinger equations and analyzing the Faddeev-Popov operator spectrum.

Contribution

It provides new numerical results for the SU(3) ghost-ghost-gluon vertex and explores the eigenvalue spectrum of the Faddeev-Popov operator in the infrared regime.

Findings

Numerical results for the ghost-ghost-gluon vertex renormalization constant.

Spectrum of low-lying eigenvalues and eigenfunctions of the Faddeev-Popov operator.

Discussion on ghost propagator saturation at low momenta.

Abstract

We report on the progress we made in studying the infrared behavior of the ghost and gluon dressing functions in Landau gauge. Related to this we also investigate a running coupling given in terms of those functions and compare our results to those coming from the Dyson-Schwinger approach. We present first numerical results for the SU(3) ghost-ghost-gluon vertex renormalization constant. In addition the spectrum of low-lying eigenvalues and eigenfunctions of the Faddeev-Popov operator is determined. The saturation of the ghost propagator in terms of those eigenvalues and eigenmodes is discussed at lower momenta.