Title

Singular Vertices and the Triangulation Space of the D-sphere

Author(s)/Creator(s)

Simon Catterall, Syracuse UniversityFollow
G. Thorleifsson, Syracuse University
John B. Kogut, University of Illinois at Urbana-Champaign
R. Renken, University of Central Florida

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.

Additional Information

15 pages, 9 figures More information at http://arxiv.org/abs/hep-lat/9512012

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.