Asymptotics of loop quantum gravity fusion coefficients

Emanuele Alesci; Eugenio Bianchi; Elena Magliaro; Claudio Perini

doi:10.1088/0264-9381/27/9/095016

Asymptotics of loop quantum gravity fusion coefficients

Emanuele Alesci, Eugenio Bianchi, Elena Magliaro, Claudio Perini

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Article number	095016
Journal	Classical and Quantum Gravity
Volume	27
Issue number	9
DOIs	https://doi.org/10.1088/0264-9381/27/9/095016
State	Published - 2010

All Science Journal Classification (ASJC) codes

Physics and Astronomy (miscellaneous)

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10.1088/0264-9381/27/9/095016

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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.",

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AU - Alesci, Emanuele

AU - Bianchi, Eugenio

AU - Magliaro, Elena

AU - Perini, Claudio

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N2 - 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.

AB - 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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JO - Classical and Quantum Gravity

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Asymptotics of loop quantum gravity fusion coefficients

Abstract

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