Transfer Matrix Formalism for Two-Dimensional Quantum Gravity and Fractal Structures of Space-time

Abstract

We develop a transfer matrix formalism for two-dimensional pure gravity. By taking the continuum limit, we obtain a "Hamiltonian formalism'' in which the geodesic distance plays the role of time. Applying this formalism, we obtain a universal function which describes the fractal structures of two dimensional quantum gravity in the continuum limit.

13 pages, 5 figures, phyzzx

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