NPAC Technical Report SCCS-762
Is there an exponential bound in four-dimensional simplicial gravity
Simon Catterall, John Kogut, Ray Renken
Submitted April 10 1996
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 $V$ simplices grows faster than
exponentially with $V$. This property ensures that the model
has no thermodynamic limit.