Landau Gauge Gluon and Ghost Propagators from Lattice QCD

Details Landau Gauge Gluon and Ghost Propagators from Lattice QCD Landau Gauge Gluon and Ghost Propagators from Lattice QCD

2006-09-25

arxiv.org/abs/hep-lat/0609043v2

Braz.J.Phys.37:193-200,2007

Physics

High Energy Physics

High Energy Physics - Lattice

Talk at the Workshop IRQCD '06, Rio de Janeiro, June 2006, given by M. M{\"u}ller-Preussker; 8 pages, 9 figures, a few wording

Scientific paper

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.

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