Asymptotics of loop quantum gravity fusion coefficients

Details Asymptotics of loop quantum gravity fusion coefficients Asymptotics of loop quantum gravity fusion coefficients

May 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010cqgra..27i5016a&link_type=abstract

Classical and Quantum Gravity, Volume 27, Issue 9, pp. 095016 (2010).

Physics

3

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 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.

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