IS THERE AN EXPONENTIAL BOUND IN 4-DIMENSIONAL SIMPLICIAL GRAVITY

Authors
CATTERALL S KOGUT J RENKEN R
Citation
S. Catterall et al., IS THERE AN EXPONENTIAL BOUND IN 4-DIMENSIONAL SIMPLICIAL GRAVITY, Physical review letters, 72(26), 1994, pp. 4062-4065
Citations number
13
Categorie Soggetti
Physics
Journal title
Physical review letters → ACNP
ISSN journal
00319007
Volume
72
Issue
26
Year of publication
1994
Pages
4062 - 4065
Database
ISI
SICI code
0031-9007(1994)72:26<4062:ITAEBI>2.0.ZU;2-A
Abstract
We have studied a model which has been proposed as a regularization fo r four-dimensional quantum gravity. The partition function is construc ted by performing a weighted sum over all triangulations of the four-s phere. Using numerical simulation we present evidence that the number of such triangulations containing V simplices may grow faster than exp onentially with V. This property would ensure that the model has no th ermodynamic limit.