3 research outputs found
The Well-Defined Phase of Simplicial Quantum Gravity in Four Dimensions
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.Comment: 29 pages, uuencoded postscript file; to appear in Phys. Rev.