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arxiv: hep-th/9302133 · v1 · submitted 1993-02-26 · ✦ hep-th · hep-lat

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

H. Kawai , N. Kawamoto , T. Mogami , Y. Watabiki This is my paper
classification ✦ hep-th hep-lat
keywords formalismgravitycontinuumfractallimitmatrixobtainquantum
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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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  1. Dynamical Triangulations for 2D Pure Gravity and Topological Recursion

    hep-th 2025-09 unverdicted novelty 6.0

    Schwinger-Dyson equations for 2D Euclidean pure gravity are reformulated as Chekhov-Eynard-Orantin topological recursion for basic-type, strip-type, and continuum dynamical triangulation models.