Singular vertices and the triangulation space of the D-sphere

S. Catterall, G. Thorleifsson, J. Kogut, R. Renken

Research output: Contribution to journalArticlepeer-review

36 Scopus citations


By a sequence of numerical experiments we demonstrate that generic triangulations of the D-sphere for D > 3 contain one singular (D - 3)-simplex. The mean number of elementary D-simplices sharing this simplex increases with the volume of the triangulation according to a simple power law. The lower dimension subsimplices associated with this (D - 3)-simplex also show a singular behaviour. Possible consequences for the DT model of four-dimensional quantum gravity are discussed.

Original languageEnglish (US)
Pages (from-to)263-276
Number of pages14
JournalNuclear Physics B
Issue number1-2
StatePublished - May 27 1996

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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