The Well-Defined Phase of Simplicial Quantum Gravity in Four Dimensions
高能物理 - 格点
2009-10-22 v1 广义相对论与量子宇宙学
摘要
We analyze simplicial quantum gravity in four dimensions using the Regge approach. The existence of an entropy dominated phase with small negative curvature is investigated in detail. It turns out that observables of the system possess finite expectation values although the Einstein-Hilbert action is unbounded. This well-defined phase is found to be stable for a one-parameter family of measures. A preliminary study indicates that the influence of the lattice size on the average curvature is small. We compare our results with those obtained by dynamical triangulation and find qualitative correspondence.
引用
@article{arxiv.hep-lat/9402002,
title = {The Well-Defined Phase of Simplicial Quantum Gravity in Four Dimensions},
author = {W. Beirl and E. Gerstenmayer and H. Markum and J. Riedler},
journal= {arXiv preprint arXiv:hep-lat/9402002},
year = {2009}
}
备注
29 pages, uuencoded postscript file; to appear in Phys. Rev. D