Asymptotics of LQG fusion coefficients

Details Asymptotics of LQG fusion coefficients Asymptotics of LQG fusion coefficients

2008-09-22

arxiv.org/abs/0809.3718v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, minor changes

Scientific paper

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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