Picard-Fuchs Equations and Prepotentials in $N=2$ Supersymmetric QCD

Abstract

The Picard-Fuchs equations for $N=2$ supersymmetric $SU(N_c)$ Yang-Mills theories with massless hypermultiplets are obtained for $N_c=2$ and $3$. For $SU(2)$ we derive the non-linear differential equations for the prepotentials and calculate full non-perturbative corrections to the effective gauge coupling constant in the weak and strong coupling regions.

14 pages, latex; (To appear in the proceedings of the Workshop "Frontiers in Quantum Field Theory'', Osaka, Japan, December 14-17, 1995)