Asymptotics of loop quantum gravity fusion coefficients

Emanuele Alesci, Eugenio Bianchi, Elena Magliaro, Claudio Perini

Research output: Contribution to journalArticle

5 Citations (Scopus)

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

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fusion
gravitation
coefficients
foams

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

Cite this

Alesci, Emanuele ; Bianchi, Eugenio ; Magliaro, Elena ; Perini, Claudio. / Asymptotics of loop quantum gravity fusion coefficients. In: Classical and Quantum Gravity. 2010 ; Vol. 27, No. 9.
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Asymptotics of loop quantum gravity fusion coefficients. / Alesci, Emanuele; Bianchi, Eugenio; Magliaro, Elena; Perini, Claudio.

In: Classical and Quantum Gravity, Vol. 27, No. 9, 095016, 14.04.2010.

Research output: Contribution to journalArticle

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