$\beta$-functions in large-$N_f$ supersymmetric gauge theories

Abstract

We present calculations of the leading and $O(1/N_f)$ terms in a large-$N_f$ expansion of the $\beta$-functions and anomalous dimensions for various supersymmetric gauge theories, including supersymmetric QCD. In the case of supersymmetric QCD, we show that our $O(1/N_f)$ approximation displays an infra-red fixed point in the conformal window $3N_c/2<N_f<3N_c$.

Comments: 22 pages, tex, 7 figures. Uses harvmac and epsf