Abstract
We present a Monte Carlo study of the $d=3$ gauge glass
and the XY--spin glass models in the vortex representation.
We investigate the critical behavior
of these models by a scaling analysis of the linear resistivity and
current--voltage characteristics, both in the limits of zero
and strong
screening of the vortex--interactions. Without screening, both
models show a glass transition at a finite temperature
and, within the numerical accuracy, exhibit the {\em same} critical
exponents: $z\approx3.1$ and $\nu=1.3\pm 0.3$. With strong screening,
the finite temperature glass transition is destroyed in both cases
and the same exponent $\nu=1.05\pm 0.1$ is found at the resulting zero
temperature transition.