RENORMALIZATION-GROUP APPROACH TO MATRIX MODELS IN 2-DIMENSIONAL QUANTUM-GRAVITY

We explore the implications of recent work by Brezin and Zinn-Justin, applying the renormalization group techniques from critical phenomena to the scaling limit of matrix models in two-dimensional quantum gravity. They endeavour to get the lowest order fixed points of the theory giving insight into the critical points of the theory. We show that at leading order the perturbative result is equal to the saddle-point approximation result. We calculate the next-to-leading order in the perturbative expansion exploring the goodness of the approach.