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

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

1993-04-20

arxiv.org/abs/hep-th/9304090v1

Phys.Lett. B311 (1993) 55-63

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/0370-2693(93)90533-N

We explore the implications of recent work by Br\'ezin 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.

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