A Real-Space Renormalization Group for Random Surfaces
High Energy Physics - Lattice
2009-10-28 v1 Condensed Matter
High Energy Physics - Theory
Abstract
We propose a new real-space renormalization group transformation for dynamical triangulations. It is shown to preserve geometrical exponents such as the string susceptibility and Hausdorff dimension. We furthermore show evidence for a fixed point structure both in pure gravity and gravity coupled to a critical Ising system. In the latter case we are able to extract estimates for the gravitationally dressed exponents which agree to within 2-3% of the KPZ formula.
Cite
@article{arxiv.hep-lat/9510003,
title = {A Real-Space Renormalization Group for Random Surfaces},
author = {G. Thorleifsson and S. Catterall},
journal= {arXiv preprint arXiv:hep-lat/9510003},
year = {2009}
}
Comments
21 pages, 8 figures