On the exponential bound in four dimensional simplicial gravity
J. Ambjorn, J. Jurkiewicz
Abstract
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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