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The Spectral Dimension of 2D Quantum Gravity

J. Ambjorn, D. Boulatov, J. L. Nielsen, J. Rolf, Y. Watabiki

hep-tharXiv:hep-th/9801099

Abstract

We show that the spectral dimension ds of two-dimensional quantum gravity coupled to Gaussian fields is two for all values of the central charge c <= 1. The same arguments provide a simple proof of the known result ds= 4/3 for branched polymers.

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