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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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13 pages, 5 figures, phyzzx

Scientific paper

10.1016/0370-2693(93)91131-6

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.

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