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arXiv · hep-th/9508059

MINBU Distribution of Two Dimensional Quantum Gravity: Simulation Result and Semiclassical Analysis

S. Ichinose·N. Tsuda·T. Yukawa
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Abstract

We analyse MINBU distribution of 2 dimensional quantum gravity. New data of R$^2$-gravity by the Monte Carlo simulation and its theoretical analysis by the semiclassical approach are presented. The cross-over phenomenon takes place at some size of the baby universe where the randomness competes with the smoothing force of $R^2$-term. The dependence on the central charge $c_m$\ and on the $R^2$-coupling are explained for the ordinary 2d quantum gravity and for $R^2$-gravity. The $R^2$-Liouville solution plays the central role in the semiclassical analysis. A total derivative term (surface term) and the infrared regularization play important roles . The surface topology is that of a sphere.

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S. Ichinose, N. Tsuda, T. Yukawa. 1995-08-14. MINBU Distribution of Two Dimensional Quantum Gravity: Simulation Result and Semiclassical Analysis. https://doi.org/10.1142/s0217751x9700061x

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