On the Absence of an Exponential Bound in Four Dimensional Simplicial Gravity

Details On the Absence of an Exponential Bound in Four Dimensional Simplicial Gravity On the Absence of an Exponential Bound in Four Dimensional Simplicial Gravity

1994-03-16

arxiv.org/abs/hep-lat/9403019v1

Physics

High Energy Physics

High Energy Physics - Lattice

8 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.72.4062

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.

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