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MaPhySto
Centre for Mathematical Physics and Stochastics
Department of Mathematical Sciences, University of Aarhus

Funded by The Danish National Research Foundation

MPS-RR 1998-10
August 1998




Quantum Geometry and Diffusion

by:

Jan Ambjørn

K. N. Anagnostopoulos, T. Ichihara, L. Jensen, Y. Watabiki

Abstract

We study the diffusion equation in two-dimensional quantum gravity, and show that the spectral dimension is two despite the fact that the intrinsic Hausdorff dimension of the ensemble of two-dimensional geometries is very different from two. We determine the scaling properties of the quantum gravity averaged diffusion kernel.

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This paper has now been published in J. High Energy Phys. 9811 (1998) 022.