1992/10/01 by Bernd Brügmann, Bernd Bruegmann · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #hep-lat
paper · pdf · doi:10.1103/physrevd.47.3330
published as Phys.Rev.D47:3330-3338,1993 · SU-GP-92/9-1 12 pages text, 12 figures on 3 pages included as postscript file
arxiv created 1992/10/01 · openalex publication_date 1993/04/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Four-dimensional Euclidean quantum gravity has been studied as a discrete model based on dynamical triangulations by Ambj\orn and Jurkiewicz and by Agishtein and Migdal. We discuss a particular implementation of a Monte Carlo simulation of simplicial quantum gravity. As an application we introduce a nonuniform measure and examine its effect on simple aspects of the mathematical geometry. We find that the transition region from the hot to the cold phase is shifted and that the criticality of the transition changes.