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

S. Catterall, J. Kogut, and R. Renken
Phys. Rev. Lett. 72, 4062 – Published 27 June 1994
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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.

  • Received 16 March 1994

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

©1994 American Physical Society

Authors & Affiliations

S. Catterall

  • Theory Division, CERN CH-1211, Geneva 23, Switzerland

J. Kogut

  • Loomis Laboratory, University of Illinois at Urbana, 1110 W. Green St. Urbana, Illinois 61801

R. Renken

  • Department of Physics, University of Central Florida, Orlando, Florida 32816

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Vol. 72, Iss. 26 — 27 June 1994

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