Is there an exponential bound in four-dimensional simplicial gravity?
- 27 June 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 72 (26) , 4062-4065
- https://doi.org/10.1103/physrevlett.72.4062
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.Keywords
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This publication has 7 references indexed in Scilit:
- Noncomputability arising in dynamical triangulation model of four-dimensional Quantum GravityCommunications in Mathematical Physics, 1993
- 4D simplicial quantum gravity with a nontrivial measurePhysical Review Letters, 1993
- Critical behavior of dynamically triangulated quantum gravity in four dimensionsNuclear Physics B, 1992
- Four-dimensional simplicial quantum gravityPhysics Letters B, 1992
- Simplicial quantum gravity in more than two dimensionsPhysical Review D, 1991
- Quantum field theory techniques in graphical enumerationAdvances in Applied Mathematics, 1980
- A Census of Planar TriangulationsCanadian Journal of Mathematics, 1962