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Article Dans Une Revue Classical and Quantum Gravity Année : 2010

Asymptotics of LQG fusion coefficients

Résumé

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.

Dates et versions

hal-00326462 , version 1 (03-10-2008)

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Emanuele Alesci, Eugenio Bianchi, Elena Magliaro, Claudio Perini. Asymptotics of LQG fusion coefficients. Classical and Quantum Gravity, 2010, 27 (9), pp.095016. ⟨10.1088/0264-9381/27/9/095016⟩. ⟨hal-00326462⟩
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