Numerical Study of Three-Dimensional QCD with Stochastic Gauge Fixing

A non-compact lattice model of three-dimensional quantum chromodynamics with SU(2) gauge group is studied numerically. The stochastic gauge fixing mechanism, which in the continuum is Lorentz invariant, avoids Faddeev-Popov ghosts and resolves the Gribov ambiguity, is implemented on the lattice. Numerical simulation by a local updating procedure results from a discretization of the Langevin equation. Measurements of the average energy and of the momentum space gluon propagator in the Landau gauge are reported and analysed. Finally, evidence for gluon confinement is observed.