Scale invariant behavior in a large N matrix model

Eigenvalue distributions of properly regularized Wilson-loop operators are used to study the transition from UV behavior to IR behavior in gauge theories coupled to matter that potentially have an IR fixed point. We numerically demonstrate the emergence of scale invariance in a matrix model that describes SU(N) gauge theory coupled to two flavors of massless adjoint fermions in the large N limit. The eigenvalue distribution of Wilson loops of varying sizes cannot be described by a universal lattice beta function connecting the UV to the IR.