Non-uniform measure in 4d simplicial quantum gravity

Preprint

1 October 1992

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-lat/9210001

Abstract

Four-dimensional euclidean quantum gravity has been studied as a discrete model based on dynamical triangulations by Ambjorn 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 non-uniform 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.

Keywords

SIMPLICIAL QUANTUM GRAVITY
PHASE IS SHIFTED
UNIFORM MEASURE
4D SIMPLICIAL
GRAVITY FOUR
GEOMETRY

All Related Versions

Version 1, 1992-10-01, ArXiv
Published version: Physical Review D, 47 (8), 3330.

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