Nonperturbative Renormalization Group Equation and Beta Function in N=2 SUSY Yang-Mills

Abstract

We obtain the exact beta function for $N=2$ SUSY $SU(2)$ Yang-Mills theory and prove the nonperturbative Renormalization Group Equation $$ \partial_Λ{\cal F}(a,Λ)= {Λ\over Λ_0}\partial_{Λ_0}{\cal F}(a_0,Λ_0) e^{-2\int_{τ_0}^τ{dx β^{-1}(x)}}. $$