The Landau gauge gluon and ghost propagators in 4D SU(3) gluodynamics in large lattice volumes

TL;DR

This study investigates the behavior of gluon and ghost propagators in 4D SU(3) gluodynamics on large lattices, analyzing finite-volume and Gribov copy effects, and finds the gluon propagator flattens at low momenta without clear zero-momentum suppression.

Contribution

First large-volume lattice study of Landau gauge gluon and ghost propagators in SU(3) with detailed analysis of finite-volume and Gribov effects.

Findings

Gluon propagator becomes flat at low q^2 (~0.01 GeV^2)

No definitive evidence of gluon propagator tending to zero at zero momentum

Provides new data on ghost propagator behavior

Abstract

We present recent results of the Landau gauge gluon and ghost propagators in SU(3) pure gauge theory at Wilson \beta=5.7 for lattice sizes up to 80^4 corresponding to physical volumes up to (13.2 fm)^4. In particular, we focus on finite-volume and Gribov copy effects. We employ a gauge fixing method that combines a simulated annealing algorithm with finalizing overrelaxation. We find the gluon propagator for the largest volumes and at q^2 ~ 0.01 GeV^2 to become flat. Although not excluded by our data, there is still no clear indication of a gluon propagator tending towards zero in the zero-momentum limit. New data for the ghost propagator are reported, too.