Is There An Exponential Bound In 4-Dimensional Simplicial Gravity
Abbreviated Journal Title
Phys. Rev. Lett.
QUANTUM-GRAVITY; DIMENSIONS; Physics, Multidisciplinary
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.
Physical Review Letters
"Is There An Exponential Bound In 4-Dimensional Simplicial Gravity" (1994). Faculty Bibliography 1990s. 1006.