Singular Vertices and the Triangulation Space of the D-sphere
High Energy Physics - Lattice
2009-10-28 v1 High Energy Physics - Theory
Abstract
By a sequence of numerical experiments we demonstrate that generic triangulations of the sphere for contain one {\it singular} simplex. The mean number of elementary simplices sharing this simplex increases with the volume of the triangulation according to a simple power law. The lower dimension subsimplices associated with this simplex also show a singular behaviour. Possible consequences for the DT model of four-dimensional quantum gravity are discussed.
Keywords
Cite
@article{arxiv.hep-lat/9512012,
title = {Singular Vertices and the Triangulation Space of the D-sphere},
author = {S. Catterall and G. Thorleifsson and J. Kogut and R. Renken},
journal= {arXiv preprint arXiv:hep-lat/9512012},
year = {2009}
}
Comments
15 pages, 9 figures