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Paper detail

On the exact evaluation of spin networks

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.

preprint2012arXivOpen access
Laurent FreidelJeff Hnybida
math-phmath.GTmath.MPgr-qchep-th
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Laurent FreidelJeff Hnybida

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