Quantum Geometry and Diffusion

Details Quantum Geometry and Diffusion Quantum Geometry and Diffusion

1998-08-21

arxiv.org/abs/hep-lat/9808027v1

JHEP 9811 (1998) 022

Physics

High Energy Physics

High Energy Physics - Lattice

latex2e, 10 pages, 4 figures

Scientific paper

10.1088/1126-6708/1998/11/022

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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