The 6j-symbol: Recursion, Correlations and Asymptotics

Details The 6j-symbol: Recursion, Correlations and Asymptotics The 6j-symbol: Recursion, Correlations and Asymptotics

2009-10-13

arxiv.org/abs/0910.2425v1

Class.Quant.Grav.27:135003,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages

Scientific paper

10.1088/0264-9381/27/13/135003

We study the asymptotic expansion of the 6j-symbol using the Schulten-Gordon recursion relations. We focus on the particular case of the isosceles tetrahedron and we provide explicit formulas for up to the third order corrections beyond the leading order. Moreover, in the framework of spinfoam models for 3d quantum gravity, we show how these recursion relations can be used to derive Ward-Takahashi-like identities between the expectation values of graviton-like spinfoam correlations.

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