On the exponential bound in four dimensional simplicial gravity
High Energy Physics - Lattice
2009-10-22 v1 General Relativity and Quantum Cosmology
High Energy Physics - Theory
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 simplexes is exponentially bounded. Numerical simulations seem so far to favor such a bound.
Keywords
Cite
@article{arxiv.hep-lat/9405010,
title = {On the exponential bound in four dimensional simplicial gravity},
author = {J. Ambjorn and J. Jurkiewicz},
journal= {arXiv preprint arXiv:hep-lat/9405010},
year = {2009}
}
Comments
7 pages, 2 figures appended as a ps-file. Latex. NBI-HE-94-29