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.


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