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.