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Phase Structure of Four Dimensional Simplicial Quantum Gravity

High Energy Physics - Lattice 2011-04-20 v1 High Energy Physics - Theory

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

Keywords

Cite

@article{arxiv.hep-lat/9401026,
  title  = {Phase Structure of Four Dimensional Simplicial Quantum Gravity},
  author = {S. Catterall and J. Kogut and R. Renken},
  journal= {arXiv preprint arXiv:hep-lat/9401026},
  year   = {2011}
}

Comments

11 pages (5 figures)

R2 v1 2026-07-22T13:19:01.255Z