On different criteria for confinement

We compare two approaches in supersymmetric confinement, the Seiberg formul ation and the superconvergence rule. For the latter, the critical point is gamma(00) = 0 in the Landau gauge We find 4 gamma(00) = beta(0) is the crit ical point for most of confining theories without a tree-level superpotenti al in the Seiberg formulation, in particular, in the large N-c and N-f limi t. We show how confining theories with a discrete symmetry and a tree-level superpotential connect these two critical points: the large and small disc rete symmetry limits correspond to the critical points 4 gamma(00) = beta(0 ) and gamma(00) = 0 respectively. (C) 2000 Elsevier Science B.V. All rights reserved.