Renormalization group and dynamics of supersymmetric gauge theories

We discuss questions related to renormalization group and to nonperturbative aspects of non-Abelian gauge theories with N = 2 and/or N = 1 supersymmetry. Results on perturbative and nonperturbative beta functions of these theories are reviewed, and new mechanisms of confinement and dynamical symmetry breaking recently found in a class of SU(n(c)), USp(2n(c)) and SO(n(c)) theories are discussed