SINGULAR VERTICES AND THE TRIANGULATION SPACE OF THE D-SPHERE

Authors
CATTERALL S THORLEIFSSON G KOGUT J RENKEN R
Citation
S. Catterall et al., SINGULAR VERTICES AND THE TRIANGULATION SPACE OF THE D-SPHERE, Nuclear physics. B, 468(1-2), 1996, pp. 263-276
Citations number
20
Categorie Soggetti
Physics, Nuclear
Journal title
Nuclear physics. B → ACNP
ISSN journal
05503213
Volume
468
Issue
1-2
Year of publication
1996
Pages
263 - 276
Database
ISI
SICI code
0550-3213(1996)468:1-2<263:SVATTS>2.0.ZU;2-6
Abstract
By a sequence of numerical experiments we demonstrate that generic tri angulations of the D-sphere for D > 3 contain one singular (D - 3)-sim plex. The mean number of elementary D-simplices sharing this simplex i ncreases with the volume of the triangulation according to a simple po wer 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.