Gauge fields on a lattice. III. Strong-coupling expansions and transition points

This is the authors' abstract. We don't add key points for this paper.

We discuss the principles of the high-temperature expansion leading to a variation-perturbation method. For pure gauge fields, diagrams are two-dimensional manifolds. As an application, we compute the critical coupling constants for discrete, Abelian, and SU(2) gauge groups and compare them with some earlier results.