  I review the study of real (Minkowski) time correlators in hot, weakly
coupled Yang-Mills theory via lattice methods. I concentrate on the Minkowski
time topological susceptibility, which is related to the efficiency of baryon
number violation at high temperature. It can be computed by approximating the
IR fields as classical and solving their dynamics nonperturbatively on the
lattice. However it is essential to include the UV degrees of freedom. Their
influence can be computed perturbatively and included in the lattice model by
the addition of auxiliary fields.
