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

1997-09-20

arxiv.org/abs/hep-lat/9709073v1

Prog.Theor.Phys. 94 (1995) 263-270

Physics

High Energy Physics

High Energy Physics - Lattice

11 pages, 7 Postscript figures

Scientific paper

10.1143/PTP.94.263

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. We attempt to cure this disease by adding a term to the action which suppresses such singular vertices. For a sufficiently large coefficient of the additional term, however, the phase transition disappears and the system is observed to be always in the branched polymer phase for any gravitational constant.

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