1997/05/31 by H. S. Egawa, H.S. Egawa, N. Tsuda
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Homotopy and Cohomology in Algebraic Topology #Noncommutative and Quantum Gravity Theories #hep-lat
paper · pdf · doi:10.1016/s0370-2693(98)00515-2
published as Phys.Lett. B430 (1998) 223-230 · 12 pages, Latex, 7 Postscript figures, uses psfig.sty and cite.sty
arxiv created 1998/01/20 · openalex publication_date 1998/07/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 S3 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.