Monte Carlo simulations of 4d simplicial quantum gravity

Details Monte Carlo simulations of 4d simplicial quantum gravity Monte Carlo simulations of 4d simplicial quantum gravity

1995-04-08

arxiv.org/abs/hep-lat/9504004v1

J.Math.Phys.36:6340-6352,1995

Physics

High Energy Physics

High Energy Physics - Lattice

16 pages, LaTeX, epsf, 4 uuencoded figures; contribution to the JMP special issue on "Quantum Geometry and Diffeomorphism-Inva

Scientific paper

10.1063/1.531247

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.

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