Infrared Gluon Propagator from lattice QCD: results from large asymmetric lattices

Abstract

The infrared limit of the lattice Landau gauge gluon propagator is studied. We show that the lattice data is compatible with the pure power law $(q^2{)}^{2\kappa }$ solution of the Dyson-Schwinger equations. Using various lattice volumes, the infinite volume limit for the exponent $\kappa$ is measured. Although, the results allow $\kappa =0.498-0.525$, the lattice data favours $\kappa \sim 0.52$, which would imply a vanishing zero momentum gluon propagator.

Comments: Final version to appear in Phys Rev D