A More Sensitive Lorentzian State Sum
General Relativity and Quantum Cosmology
2007-05-23 v1
Abstract
We give the construction modulo normalization of a new state sum model for lorentzian quantum general relativity, using the construction of Dirac's expansors to include quantum operators corresponding to edge lengths as well as the quantum bivectors of the Barrett-Crane model, and discuss the problem of its normalization. The new model gives rise to a new picture of quantum geometry in which lengths come in a discrete spectrum, while areas have a continuum of values.
Keywords
Cite
@article{arxiv.gr-qc/0301017,
title = {A More Sensitive Lorentzian State Sum},
author = {Louis Crane and David Yetter},
journal= {arXiv preprint arXiv:gr-qc/0301017},
year = {2007}
}
Comments
11 pages latex