arXiv 0809.37182008-09gr-qc

Asymptotics of LQG fusion coefficients

Emanuele Alesci, Eugenio Bianchi, Elena Magliaro, Claudio Perini

备注：: 14 pages, minor changes
发表信息：: Class.Quant.Grav. 27 (2010) 095016
DOI：: 10.1088/0264-9381/27/9/095016

英文摘要：

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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