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On the fractal structure of two-dimensional quantum gravity

J. Ambjorn, J. Jurkiewicz, Y. Watabiki

hep-latarXiv:hep-lat/9507014

Abstract

We provide evidence that the Hausdorff dimension is 4 and the spectral dimension is 2 for two-dimensional quantum gravity coupled the matter with a central charge c ≤ 1. For c > 1 the Hausdorff dimension and the spectral dimension monotonously decreases to 2 and 1, respectively.

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