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 Engle-Pereira-Rovelli-Livine fusion coefficients. We study the large spin asymptotics and show that they map SO(3) semiclassical intertwiners into SU(2)(L) x SU(2)(R) semiclassical intertwiners. This non-trivial property opens the possibility for an analysis of the semiclassical behavior of the model.

Asymptotics of loop quantum gravity fusion coefficients

ALESCI, Emanuele;
2010

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 Engle-Pereira-Rovelli-Livine fusion coefficients. We study the large spin asymptotics and show that they map SO(3) semiclassical intertwiners into SU(2)(L) x 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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Alesci, Emanuele; Bianchi, E; Magliaro, E; Perini, C.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/32586
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