RANDOM SURFACES IN 3-DIMENSIONAL SIMPLICIAL GRAVITY

A model of simplicial quantum gravity in three dimensions is investiga ted numerically based on the technique of the dynamical triangulation (DT). We are concerned with the surfaces appearing on boundaries (i.e. , sections) of three-dimensional DT manifold with S-3 topology. A new scaling behavior of genus distributions of boundary surfaces is found. Furthermore, these surfaces are compared with the random surfaces gen erated by the two-dimensional DT method which are well known as a corr ect discretized method of the two-dimensional quantum gravity. (C) 199 8 Published by Elsevier Science B.V. All rights reserved.