  At infinite N, continuum Euclidean SU(N) gauge theory defined on a
symmetrical four torus has a rich phase structure with phases where the finite
volume system behaves as if it had infinite extent in some or all of the
directions. In addition, fermions are automatically quenched, so planar QCD
should be cheaper to solve numerically that full QCD. Large N is a relatively
unexplored and worthwhile direction of research in lattice field theory.
