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Focusing on the Fixed Point of 4D Simplicial Gravity

P. Bialas, Z. Burda, A. Krzywicki, B. Petersson

Abstract

Our earlier renormalization group analysis of simplicial gravity is extended. A high statistics study of the volume and coupling constant dependence of the cumulants of the node distribution is carried out. It appears that the phase transition of the theory is of first order, contrary to what is generally believed.

Focusing on the Fixed Point of 4D Simplicial Gravity

Abstract

Our earlier renormalization group analysis of simplicial gravity is extended. A high statistics study of the volume and coupling constant dependence of the cumulants of the node distribution is carried out. It appears that the phase transition of the theory is of first order, contrary to what is generally believed.

Paper Structure

This paper contains 8 sections, 19 equations, 8 tables.

Table of Contents

  1. 1. Introduction
  2. 2. Model and numerical algorithm
  3. 3. Monte Carlo Renormalization Group
  4. 4. Finite-size scaling analysis
  5. 5. Discussion
  6. Acknowledgements
  7. Figure captions
  8. Appendix