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

1995/08/01 by T. Hotta, Taku Izubuchi, T. Izubuchi +2 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-lat

paper · pdf · doi:10.1143/ptp.94.263

published as Prog.Theor.Phys. 94 (1995) 263-270 · 11 pages, 7 Postscript figures

openalex publication_date 1995/08/01 · arxiv created 1997/09/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study four-dimensional simplicial gravity through numerical simulation with special attention given to the existence of singular vertices, in the strong coupling phase, that are shared by abnormally large numbers of four-simplices. We attempt to solve this problem 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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