Four Dimensional Theories with Composite Gauge Fields and Their Supersymmetric Generalizations

A fourlinear CP(N – 1) model which is classically equivalent to the (massive) electrodynamics with composite four-potential is shown to be renormalizable in 4 dimensions in the framework of 1/N expansion. Also a supersymmetric fourlinear CG(N, n) model is constructed and shown to be equivalent to the super-Yang-Mills model with composite gauge fields. A short introduction to sigma models and supersymmetric gauge theories is given.