We present the results of a high statistics study of a model for four dimensional euclidean quantum gravity based on summing over triangulations. We observe two phases; in one phase we observe a logarithmic scaling of the mean linear extent with volume, whilst the other shows power law behaviour with exponent 1 2. We are able to estimate the infinite volume critical coupling and extract a finite size scaling exponent for the growth of the susceptibility peak.
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
- Nuclear and High Energy Physics