On the exponential bound in four dimensional simplicial gravity

Details On the exponential bound in four dimensional simplicial gravity On the exponential bound in four dimensional simplicial gravity

1994-05-11

arxiv.org/abs/hep-lat/9405010v1

Phys.Lett. B335 (1994) 355-358

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 2 figures appended as a ps-file. Latex. NBI-HE-94-29

Scientific paper

10.1016/0370-2693(94)90363-8

Simplicial quantum gravity 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 4-sphere. The model is well-defined only if the number of such triangulations consisting of $N$ simplexes is exponentially bounded. Numerical simulations seem so far to favor such a bound.

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