The Infrared Landau Gauge Gluon Propagator from Lattice QCD

The quenched Landau gauge gluon propagator is investigated in lattice QCD with large assimetric lattices, accessing momenta as low as $q \sim 100$ MeV or smaller. Our investigation focus on the IR limit of the gluon dressing function, testing the compatibility with recent solutions of the Dyson-Schwinger equations. In particular, the low energy parameters $\kappa$ and $\alpha (0)$ are measured.Comment: 3 pages, 1 figure. Talk given at Quark Confinement and the Hadron Spectrum VI 2004, Italy, 21-25 Sep. References correc

Studying the infrared behaviour of gluon and ghost propagators using large asymmetric lattices

We report on the infrared limit of the quenched lattice Landau gauge gluon propagator computed from large asymmetric lattices. In particular, the compatibility of the pure power law infrared solution $(q^2)^{2\kappa}$ of the Dyson-Schwinger equations is investigated and the exponent $\kappa$ is measured. Some results for the ghost propagator and for the running coupling constant will also be shown.Comment: 3 pages, 2 figures. Talk given at "Quark Confinement and the Hadron Spectrum VII", Azores, Portugal, 2-7 September 200