Quantum Geometry and Diffusion
High Energy Physics - Lattice
2009-10-31 v1 High Energy Physics - Theory
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.
Cite
@article{arxiv.hep-lat/9808027,
title = {Quantum Geometry and Diffusion},
author = {J. Ambjorn and K. N. Anagnostopoulos and T. Ichihara and L. Jensen and Y. Watabiki},
journal= {arXiv preprint arXiv:hep-lat/9808027},
year = {2009}
}
Comments
latex2e, 10 pages, 4 figures