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.

11 pages, latex

References in corpus (2)

• Duality, Superconvergence and the Phases of Gauge Theories
• Supersymmetric gauge theories with a free algebra of invariants

Cited by in corpus (4)

• Condition for confinement in non-Abelian gauge theories
• Confinement and Renormalization Group Equations in String-inspired Non-local Gauge Theories
• Confinement in QCD and generic Yang-Mills theories with matter representations
• Non-perturbative Lee-Wick gauge theory: Towards Confinement and RGE with strong couplings