  For the Lorentz gauge the influence of various Gribov gauge copies on the
fermion propagator is investigated in quenched compact lattice QED. Within the
Coulomb phase besides double Dirac sheets the zero-momentum modes of the gauge
fields are shown to cause the propagator to deviate strongly from the
perturbatively expected behaviour. The standard way to extract the fermion mass
fails. The recently proposed zero-momentum Lorentz gauge is demonstrated to
cure the problem.
