3-DIMENSIONAL SIMPLICIAL QUANTUM-GRAVITY

We consider a discrete model of euclidean quantum gravity in three dimensions based on a summation over random simplicial manifolds. The phase diagram as a function of the cosmological coupling constant and the gravitational coupling constant is studied in the search for a sensible continuum limit. An interesting cross-over behaviour is observed, where the universes changes from being crumpled, of essentially zero radius, to being extended objects.