Asymptotics of LQG fusion coefficients
General Relativity and Quantum Cosmology
2013-04-30 v2
Abstract
The fusion coefficients from SO(3) to SO(4) play a key role in the definition of spin foam models for the dynamics in Loop Quantum Gravity. In this paper we give a simple analytic formula of the EPRL fusion coefficients. We study the large spin asymptotics and show that they map SO(3) semiclassical intertwiners into semiclassical intertwiners. This non-trivial property opens the possibility for an analysis of the semiclassical behavior of the model.
Keywords
Cite
@article{arxiv.0809.3718,
title = {Asymptotics of LQG fusion coefficients},
author = {Emanuele Alesci and Eugenio Bianchi and Elena Magliaro and Claudio Perini},
journal= {arXiv preprint arXiv:0809.3718},
year = {2013}
}
Comments
14 pages, minor changes