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arXiv · 1201.3613

On the exact evaluation of spin networks

Laurent Freidel·Jeff Hnybida
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Abstract

We introduce a fully coherent spin network amplitude whose expansion generates all SU(2) spin networks associated with a given graph. We then give an explicit evaluation of this amplitude for an arbitrary graph. We show how this coherent amplitude can be obtained from the specialization of a generating functional obtained by the contraction of parametrized intertwiners a la Schwinger. We finally give the explicit evaluation of this generating functional for arbitrary graphs.

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Laurent Freidel, Jeff Hnybida. 2012-01-17. On the exact evaluation of spin networks. https://doi.org/10.1063/1.4830008

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