Nonuniform measure in four-dimensional simplicial quantum gravity

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Abstract
Four-dimensional Euclidean quantum gravity has been studied as a discrete model based on dynamical triangulations by Ambjørn 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.
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