Knots, Feynman diagrams and matrix models

A U(N)-invariant matrix model with d matrix variables is studied. It was sh own that in the limit N --> infinity and d --> 0 the model describes the kn ot diagrams. We realize the free partition function of the matrix model as the generalized expectation of a Hida distribution Phi(N,d). This enables u s to give a mathematically rigorous meaning to the partition function with interaction. For the generalized function Phi(N,d), we prove a Wick theorem and we derive explicit formulas for the propagators.