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 ${\gamma }_{00}=0$ in the Landau gauge. We find $4{\gamma }_{00}={\beta }_0$ 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 $4{\gamma }_{00}={\beta }_0$ and ${\gamma }_{00}=0$, respectively.

Comments: 11 pages, latex