Phase structure of four dimensional simplicial quantum gravity

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 1 2 . We are able to extract a finite size scaling exponent governing the growth of the susceptibility peak.