Monte Carlo simulations of 4d simplicial quantum gravity

1995/04/08 by Bernd Brügmann, B. Bruegmann, Enzo Marinari +1 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #hep-lat

paper · pdf · doi:10.1063/1.531247

published as J.Math.Phys.36:6340-6352,1995 · 16 pages, LaTeX, epsf, 4 uuencoded figures; contribution to the JMP special issue on "Quantum Geometry and Diffeomorphism-Invariant Quantum Field Theory"

arxiv created 1995/04/08 · openalex publication_date 1995/11/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Dynamical triangulations of four-dimensional Euclidean quantum gravity give rise to an interesting, numerically accessible model of quantum gravity. We give a simple introduction to the model and discuss two particularly important issues. One is that contrary to recent claims there is strong analytical and numerical evidence for the existence of an exponential bound that makes the partition function well defined. The other is that there may be an ambiguity in the choice of the measure of the discrete model which could even lead to the existence of different universality classes.

Citations

• Critical behavior of dynamically triangulated quantum gravity in four dimensions
• 4D simplicial quantum gravity with a nontrivial measure
• Nonuniform measure in four-dimensional simplicial quantum gravity
• Absence of barriers in dynamical triangulation

Cited by

• Balls in boxes and quantum gravity
• Discrete approaches to quantum gravity in four dimensions