On the Absence of an Exponential Bound in Four Dimensional Simplicial Gravity
High Energy Physics - Lattice
2009-10-22 v1 High Energy Physics - Theory
Abstract
We have studied a model which has been proposed as a regularisation for four dimensional quantum gravity. The partition function is constructed by performing a weighted sum over all triangulations of the four sphere. Using numerical simulation we find that the number of such triangulations containing simplices grows faster than exponentially with . This property ensures that the model has no thermodynamic limit.
Keywords
Cite
@article{arxiv.hep-lat/9403019,
title = {On the Absence of an Exponential Bound in Four Dimensional Simplicial Gravity},
author = {S. Catterall and J. Kogut and R. Renken},
journal= {arXiv preprint arXiv:hep-lat/9403019},
year = {2009}
}
Comments
8 pages, 2 figures