The asymptotics of an amplitude for the 4-simplex
General Relativity and Quantum Cosmology
2007-05-23 v2
Abstract
An expression for the oscillatory part of an asymptotic formula for the relativistic spin network amplitude for a 4-simplex is given. The amplitude depends on specified areas for each two-dimensional face in the 4-simplex. The asymptotic formula has a contribution from each flat Euclidean metric on the 4-simplex which agrees with the given areas. The oscillatory part of each contribution is determined by the Regge calculus Einstein action for that geometry.
Cite
@article{arxiv.gr-qc/9809032,
title = {The asymptotics of an amplitude for the 4-simplex},
author = {John W. Barrett and Ruth M. Williams},
journal= {arXiv preprint arXiv:gr-qc/9809032},
year = {2007}
}
Comments
5 pages amstex, typos corrected