Towards the infrared limit in SU(3) Landau gauge lattice gluodynamics
A. Sternbeck, E.-M. Ilgenfritz, M. Mueller-Preussker, A. Schiller
TL;DR
This study investigates the low-momentum behavior of gluon and ghost dressing functions in SU(3) Landau gauge lattice QCD, revealing dependencies on Gribov copies and finite volume effects, with the running coupling decreasing at low momenta.
Contribution
It provides new insights into the infrared behavior of gluon and ghost propagators in SU(3) lattice gauge theory, including Gribov copy effects and finite volume influences.
Findings
Ghost dressing function depends on Gribov copies
Gluon dressing function shows no resolvable dependence on Gribov copies
Running coupling decreases for momenta below 0.6 GeV
Abstract
We study the behavior of the gluon and ghost dressing functions in SU(3) Landau gauge at low momenta available on lattice sizes 12^4-32^4 at =5.8, 6.0 and 6.2. We demonstrate the ghost dressing function to be systematically dependent on the choice of Gribov copies, while the influence on the gluon dressing function is not resolvable. The running coupling given in terms of these functions is found to be decreasing for momenta q<0.6 GeV. We study also effects of the finite volume and of the lattice discretization.
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