Generating series and asymptotics of classical spin networks - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2011

Generating series and asymptotics of classical spin networks

Résumé

We study classical spin networks with group SU(2). In the first part, using gaussian integrals, we compute their generating series in the case where the networks 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.

Dates et versions

hal-00814324 , version 1 (16-04-2013)

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Francesco Costantino, Julien Marche. Generating series and asymptotics of classical spin networks. 2011. ⟨hal-00814324⟩
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