  We present numerical simulations of the 4D Edwards Anderson Ising spin glass
with binary couplings. Our results, in the midst of strong finite size effects,
suggest the existence of a spin glass phase transition. We present a preliminar
determination of critical exponents. We discuss spin glass susceptibilities,
cumulants of the overlap and energy overlap probability distributions, finite
size effects, and the behavior of the disorder dependent and of the integrated
probability distribution.
