Singular Vertices in the Strong Coupling Phase of Four--Dimensional Simplicial Gravity

Details Singular Vertices in the Strong Coupling Phase of Four--Dimensional Simplicial Gravity Singular Vertices in the Strong Coupling Phase of Four--Dimensional Simplicial Gravity

1995-11-21

arxiv.org/abs/hep-lat/9511023v1

Nucl.Phys.Proc.Suppl. 47 (1996) 609-612

Physics

High Energy Physics

High Energy Physics - Lattice

10 pages, six PostScript figures; figures are also available at http://hep-th.phys.s.u-tokyo.ac.jp/~izubuchi/paper/4dqg/

Scientific paper

10.1016/0920-5632(96)00132-6

We study four--dimensional simplicial gravity through numerical simulation with special attention to the existence of singular vertices, in the strong coupling phase, that are shared by abnormally large numbers of four--simplices. The second order phase transition from the strong coupling phase into the weak coupling phase could be understood as the disappearance of the singular vertices. We also change the topology of the universe from the sphere to the torus.

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