Quantum gravity asymptotics from the SU(2) 15j symbol

Details Quantum gravity asymptotics from the SU(2) 15j symbol Quantum gravity asymptotics from the SU(2) 15j symbol

2009-12-24

arxiv.org/abs/0912.4907v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

approx 17 pages

Scientific paper

The asymptotics of the SU(2) 15j symbol are obtained using coherent states for the boundary data. The geometry of all non-suppressed boundary data is given. For some boundary data, the resulting formula is interpreted in terms of the Regge action of the geometry of a 4-simplex in 4-dimensional Euclidean space. This asymptotic formula can be used to derive and extend the asymptotics of the spin foam amplitudes for quantum gravity models. The relation of the SU(2) Ooguri model to these quantum gravity models and their continuum Lagrangians is discussed.

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