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arXiv · 0809.3718

Asymptotics of LQG fusion coefficients

Emanuele Alesci·Eugenio Bianchi·Elena Magliaro·Claudio Perini
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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 $SU(2)_L\times SU(2)_R$ semiclassical intertwiners. This non-trivial property opens the possibility for an analysis of the semiclassical behavior of the model.

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Emanuele Alesci, Eugenio Bianchi, Elena Magliaro, Claudio Perini. 2008-09-22. Asymptotics of LQG fusion coefficients. https://doi.org/10.1088/0264-9381/27/9/095016

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