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arXiv · hep-lat/9808027

Quantum Geometry and Diffusion

J. Ambjorn·K. N. Anagnostopoulos·T. Ichihara·L. Jensen·Y. Watabiki
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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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J. Ambjorn, K. N. Anagnostopoulos, T. Ichihara, L. Jensen, Y. Watabiki. 1998-08-21. Quantum Geometry and Diffusion. https://doi.org/10.1088/1126-6708%2F1998%2F11%2F022

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