We report on recent numerical computations of the Landau gauge gluon and ghost propagators as well as of the ghost-gluon vertex function in pure SU(3) Yang-Mills theory and in full QCD on the lattice. Special emphasis is paid to the low momentum region. In particular, we present new data for the gluon propagator at momenta below 300 MeV. We also discuss different systematic effects as there are finite-size, lattice discretization and Gribov copy but also unquenching effects. A MOM-scheme running coupling \alpha_s(q^2) based on the ghost-gluon vertex is calculated and found to decrease for momenta below 550 MeV, even though the renormalization constant of the vertex deviates only weakly from being constant.
@article{arxiv.hep-lat/0609043,
title = {Landau Gauge Gluon and Ghost Propagators from Lattice QCD},
author = {E. -M. Ilgenfritz and M. Müller-Preussker and A. Sternbeck and A. Schiller and I. L. Bogolubsky},
journal= {arXiv preprint arXiv:hep-lat/0609043},
year = {2010}
}
Comments
Talk at the Workshop IRQCD '06, Rio de Janeiro, June 2006, given by M. M{\"u}ller-Preussker; 8 pages, 9 figures, a few wordings made more precise, figures put into equal style, missing legends added