On the exact evaluation of spin networks
General Relativity and Quantum Cosmology
2015-06-03 v1 High Energy Physics - Theory
Mathematical Physics
Geometric Topology
math.MP
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.
Keywords
Cite
@article{arxiv.1201.3613,
title = {On the exact evaluation of spin networks},
author = {Laurent Freidel and Jeff Hnybida},
journal= {arXiv preprint arXiv:1201.3613},
year = {2015}
}