Mean-field Approach to the Derivation of Baryon Superpotential from Matrix Model

Abstract

We discuss how to obtain the superpotential of the baryons and mesons for SU(N) gauge theories with N flavour matter fields from matrix integral. We apply the mean-field approximation for the matrix integral. Assuming the planar limit of the self-consistency equation, we show that the result almost agrees with the field theoretical result.Comment: rev2. ref. and related comments included, typos correcte