  We investigate the critical behavior of the gauge glass model for the vortex
glass transition in three-dimensional superconductors, including screening of
the interaction between vortices. A Monte Carlo study of the linear resistivity
and a scaling analysis of current--voltage characteristics indicates that
screening destroys the finite--temperature transition found earlier when
screening was neglected. The correlation length exponent at the resulting zero
temperature transition is found to be $\nu=1.05 \pm 0.1$.
