Document Type
Article
Date
12-7-1995
Language
English
Disciplines
Physics
Description/Abstract
By a sequence of numerical experiments we demonstrate that generic triangulations of the D-sphere for D>3 contain one {\it 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.
Recommended Citation
Catterall, Simon; Thorleifsson, G.; Kogut, John B.; and Renken, R., "Singular Vertices and the Triangulation Space of the D-sphere" (1995). Physics - All Scholarship. 487.
https://surface.syr.edu/phy/487
Source
Harvested from Arxiv.org
Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.
Additional Information
15 pages, 9 figures More information at http://arxiv.org/abs/hep-lat/9512012