Some nonabelian toy models in the large N limit

Schwinger-Dyson equations are used to study the large N limit of U(N) gauge theory on several small lattices. Explicit solutions are found which are beyond the reach of existing steepest descent technique. They show a phase transition in a three placquette model at coupling g²N=3, resembling the known transition in the one placquette model, and lending support to expectations of a similar transition in the four dimensional lattice theory.