Random Surfaces in Three-Dimensional Simplicial Gravity

Details Random Surfaces in Three-Dimensional Simplicial Gravity Random Surfaces in Three-Dimensional Simplicial Gravity

1997-05-15

arxiv.org/abs/hep-lat/9705020v4

Phys.Lett. B430 (1998) 223-230

Physics

High Energy Physics

High Energy Physics - Lattice

12 pages, Latex, 7 Postscript figures, uses psfig.sty and cite.sty

Scientific paper

10.1016/S0370-2693(98)00515-2

A model of simplicial quantum gravity in three dimensions is investigated 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 generated by the two-dimensional DT method which are well known as a correct discretized method of the two-dimensional quantum gravity.

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