English

On the fractal structure of two-dimensional quantum gravity

High Energy Physics - Lattice 2009-10-28 v1 General Relativity and Quantum Cosmology High Energy Physics - Theory

Abstract

We provide evidence that the Hausdorff dimension is 4 and the spectral dimension is 2 for two-dimensional quantum gravity coupled the matter with a central charge c1c \leq 1. For c>1c > 1 the Hausdorff dimension and the spectral dimension monotonously decreases to 2 and 1, respectively.

Keywords

Cite

@article{arxiv.hep-lat/9507014,
  title  = {On the fractal structure of two-dimensional quantum gravity},
  author = {J. Ambjorn and J. Jurkiewicz and Y. Watabiki},
  journal= {arXiv preprint arXiv:hep-lat/9507014},
  year   = {2009}
}

Comments

30 pages, postscript, including 11 figures, csh file.name should uudecode etc