Asymptotics of Relativistic Spin Networks
General Relativity and Quantum Cosmology
2017-08-23 v3
Abstract
The stationary phase technique is used to calculate asymptotic formulae for SO(4) Relativistic Spin Networks. For the tetrahedral spin network this gives the square of the Ponzano-Regge asymptotic formula for the SU(2) 6j symbol. For the 4-simplex (10j-symbol) the asymptotic formula is compared with numerical calculations of the Spin Network evaluation. Finally we discuss the asymptotics of the SO(3,1) 10j-symbol.
Keywords
Cite
@article{arxiv.gr-qc/0209023,
title = {Asymptotics of Relativistic Spin Networks},
author = {John W Barrett and Christopher M Steele},
journal= {arXiv preprint arXiv:gr-qc/0209023},
year = {2017}
}
Comments
31 pages, latex. v3: minor clarifications