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.
Titolo: | Asymptotics of loop quantum gravity fusion coefficients |
Autori: | Alesci E; Bianchi E; Magliaro E; Perini C |
Rivista: | |
Data di pubblicazione: | 2010 |
Volume: | 27 |
Fascicolo: | 9 |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1088/0264-9381/27/9/095016 |
Appare nelle tipologie: | 1.1 Journal article |
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