English

The Spectral Dimension of 2D Quantum Gravity

High Energy Physics - Theory 2010-02-03 v1 General Relativity and Quantum Cosmology High Energy Physics - Lattice

Abstract

We show that the spectral dimension d_s of two-dimensional quantum gravity coupled to Gaussian fields is two for all values of the central charge c <= 1. The same arguments provide a simple proof of the known result d_s= 4/3 for branched polymers.

Keywords

Cite

@article{arxiv.hep-th/9801099,
  title  = {The Spectral Dimension of 2D Quantum Gravity},
  author = {J. Ambjorn and D. Boulatov and J. L. Nielsen and J. Rolf and Y. Watabiki},
  journal= {arXiv preprint arXiv:hep-th/9801099},
  year   = {2010}
}

Comments

7 pages, Latex

R2 v1 2026-07-22T16:08:44.411Z