  The eigenvalue distribution of a Wilson loop operator of fixed shape
undergoes a transition under scaling at infinite N. We derive a large N scaling
function in a double scaling limit of the average characteristic polynomial
associated with the Wilson loop operator in two dimensional QCD. We hypothesize
that the transition in three and four dimensional large N QCD are also in the
same universality class and provide a numerical test for our hypothesis in
three dimensions.

High Energy Physics - Theory;High Energy Physics - Lattice