Asymptotic analysis of the EPRL four-simplex amplitude
General Relativity and Quantum Cosmology
2010-01-15 v2
Abstract
The semiclassical limit of a 4-simplex amplitude for a spin foam quantum gravity model with an Immirzi parameter is studied. If the boundary state represents a non-degenerate 4-simplex geometry, the asymptotic formula contains the Regge action for general relativity. A canonical choice of phase for the boundary state is introduced and is shown to be necessary to obtain the results.
Cite
@article{arxiv.0902.1170,
title = {Asymptotic analysis of the EPRL four-simplex amplitude},
author = {John W. Barrett and R. J. Dowdall and Winston J. Fairbairn and Henrique Gomes and Frank Hellmann},
journal= {arXiv preprint arXiv:0902.1170},
year = {2010}
}
Comments
v2: improved presentation, typos corrected, refs added; results unchanged