Geodesic
Generating series and asymptotics of classical spin networks
Journal of the European Mathematical Society, Tome 17 (2015) no. 10, pp. 2417-2452.

Voir la notice de l'article provenant de la source EMS Press

We study classical spin networks with group SU2​. In the first part, using Gaussian integrals, we compute their generating series in the case where the edges are equipped with holonomies; this generalizes Westbury’s formula. In the second part, we use an integral formula for the square of the spin network and perform stationary phase approximation under some non-degeneracy hypothesis. This gives a precise asymptotic behavior when the labels are rescaled by a constant going to infinity.
DOI : 10.4171/jems/561
Classification : 57-XX, 81-XX, 83-XX
Keywords: Spin networks, generating series, asymptotical behavior, saddle point method, coherent states 
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     title = {Generating series and asymptotics of classical spin networks},
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Francesco Costantino; Julien Marché. Generating series and asymptotics of classical spin networks. Journal of the European Mathematical Society, Tome 17 (2015) no. 10, pp. 2417-2452. doi : 10.4171/jems/561. http://geodesic.mathdoc.fr/articles/10.4171/jems/561/

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