The Well-Defined Phase of Simplicial Quantum Gravity in Four Dimensions

Details The Well-Defined Phase of Simplicial Quantum Gravity in Four Dimensions The Well-Defined Phase of Simplicial Quantum Gravity in Four Dimensions

1994-02-04

arxiv.org/abs/hep-lat/9402002v1

Phys.Rev. D49 (1994) 5231-5239

Physics

High Energy Physics

High Energy Physics - Lattice

29 pages, uuencoded postscript file; to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.49.5231

We analyze simplicial quantum gravity in four dimensions using the Regge approach. The existence of an entropy dominated phase with small negative curvature is investigated in detail. It turns out that observables of the system possess finite expectation values although the Einstein-Hilbert action is unbounded. This well-defined phase is found to be stable for a one-parameter family of measures. A preliminary study indicates that the influence of the lattice size on the average curvature is small. We compare our results with those obtained by dynamical triangulation and find qualitative correspondence.

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