Abstract
We have studied a model which has been proposed as a regularization 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 present evidence that the number of such triangulations containing V simplices may grow faster than exponentially with V. This property would ensure that the model has no thermodynamic limit.
- Received 16 March 1994
DOI:https://doi.org/10.1103/PhysRevLett.72.4062
©1994 American Physical Society