Asymptotics of loop quantum gravity fusion coefficients

Emanuele Alesci, Eugenio Bianchi, Elena Magliaro, Claudio Perini

Research output: Contribution to journalArticle

5 Scopus citations

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 × SU(2) R semiclassical intertwiners. This non-trivial property opens the possibility for an analysis of the semiclassical behavior of the model.

Original languageEnglish (US)
Article number095016
JournalClassical and Quantum Gravity
Volume27
Issue number9
DOIs
StatePublished - Apr 14 2010

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

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