On Different Criteria for Confinement

Details On Different Criteria for Confinement On Different Criteria for Confinement

1999-03-11

arxiv.org/abs/hep-th/9903103v1

Phys.Lett. B481 (2000) 26-32

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, latex

Scientific paper

10.1016/S0370-2693(00)00438-X

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.

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