arXiv:hep-lat/9808027·v1·High Energy Physics — Lattice
Quantum Geometry and Diffusion
J. Ambjorn (1)🇩🇰 · K. N. Anagnostopoulos (1)🇩🇰 · T. Ichihara (2)🇯🇵 · L. Jensen (1)🇩🇰 · Y. Watabiki (2) ((1) Niels Bohr, (2) Tokyo Institute of Technology)🇯🇵
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.
Comments: latex2e, 10 pages, 4 figures