SU(2) Landau gluon propagator on a 140^3 lattice

TL;DR

This study numerically investigates the SU(2) gluon propagator in three-dimensional lattice gauge theory, revealing infrared suppression and supporting Gribov-like behavior consistent with analytic predictions.

Contribution

It provides the first large-volume lattice data for the SU(2) Landau gluon propagator in three dimensions, confirming infrared suppression and estimating the critical exponent.

Findings

Gluon propagator decreases at low momenta for large volumes

Data fit well with Gribov-like formulae

Infrared critical exponent estimated above 0.6

Abstract

We present a numerical study of the gluon propagator in lattice Landau gauge for three-dimensional pure-SU(2) lattice gauge theory at couplings beta = 4.2, 5.0, 6.0 and for lattice volumes V = 40^3, 80^3, 140^3. In the limit of large V we observe a decreasing gluon propagator for momenta smaller than p_{dec} = 350^{+ 100}_{- 50} MeV. Data are well fitted by Gribov-like formulae and seem to indicate an infra-red critical exponent kappa slightly above 0.6, in agreement with recent analytic results.