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.
@article{arxiv.hep-lat/0302022,
title = {SU(2) Landau gluon propagator on a 140^3 lattice},
author = {Attilio Cucchieri and Tereza Mendes and Andre Taurines},
journal= {arXiv preprint arXiv:hep-lat/0302022},
year = {2008}
}
Comments
5 pages with 2 figures and 3 tables; added a paragraph on discretization effects