NPAC Technical Report SCCS-761

Phase Structure of Four-Dimensional Simplicial Quantum Gravity

Simon Catterall, John Kogut, Ray Renken

Submitted April 10 1996


Abstract

We present the results of a high statistics Monte Carlo study of a model for four dimensional euclidean quantum gravity based on summing over triangulations. We show evidence for two phases; in one there is a logarithmic scaling of the mean linear extent with volume, whilst the other exhibits power law behaviour with exponent $\frac 1 2$. We are able to extract a finite size scaling exponent governing the growth of the susceptibility peak.


PostScript version of the paper