Title

Is there an exponential bound in four-dimensional simplicial gravity?

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. © 1994 The American Physical Society.

Publication Date

1-1-1994

Publication Title

Physical Review Letters

Volume

72

Issue

26

Number of Pages

4062-4065

Document Type

Article

Identifier

scopus

Personal Identifier

scopus

DOI Link

https://doi.org/10.1103/PhysRevLett.72.4062

Socpus ID

4243734198 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/4243734198

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