Lattice action forms stable under renormalization

We review the role of the generalized Gaussian solution to the Migdal-Kadanoff renormalization group for SU(N) lattice gauge theories, and point out that it can be continued down to very low values of the inverse coupling β. We thus explain the long-distance stable line of actions observed in numerical investigations of SU(2), and propose a simple SU(3) mixed action which should exhibit improved scaling behavior