NPAC Technical Report SCCS-768
A Real Space Renormalization Group for Random Surfaces
Gudmar Thorleifsson, Simon Catterall
Submitted April 10 1996
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.