On different criteria for confinement

Abstract

We compare two approaches in supersymmetric confinement, the Seiberg formulation and the superconvergence rule. For the latter, the critical point is γ 00=0 in the Landau gauge. We find 4 γ 00= β 0 is the critical point for most of confining theories without a tree-level superpotential in the Seiberg formulation, in particular, in the large N c and N f limit. We show how confining theories with a discrete symmetry and a tree-level superpotential connect these two critical points: the large and small discrete symmetry limits correspond to the critical points 4 γ 00= β 0 and γ 00=0, respectively.