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

Abstract

We present recent results on the Landau gauge gluon and ghost propagators in SU(3) pure gauge theory at Wilson β = 5.7 for lattice sizes up to 804 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 to become flat at q2 ∼ 0.01 GeV2. 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.