Renormalization Group Approach to Matrix Models in Two-Dimensional Quantum Gravity

Abstract

We explore the implications of recent work by Brézin and Zinn-Justin, applying the renormalization group techniques from critical phenomena to the scaling limit of matrix models in two-dimensional quantum gravity. They endeavor to get the lowest order fixed points of the theory giving insight upon 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.

14 pages, LaTeX file, UAB--FT--306, April 1993

References in corpus (3)

• Renormalization Group Approach to Matrix Models
• The D=1 Matrix Model and the Renormalization Group
• Non-analyticity in the large N renormalization group

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