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 on 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

11 pages (5 figures)

References in corpus (2)

• Critical Behavior of Dynamically Triangulated Quantum Gravity in Four Dimensions
• 4d Simplicial Quantum Gravity with a Non-Trivial Measure

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