Asymptotics of Relativistic Spin Networks

Details Asymptotics of Relativistic Spin Networks Asymptotics of Relativistic Spin Networks

2002-09-07

arxiv.org/abs/gr-qc/0209023v3

Class.Quant.Grav. 20 (2003) 1341-1362

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

31 pages, latex. v3: minor clarifications

Scientific paper

The stationary phase technique is used to calculate asymptotic formulae for SO(4) Relativistic Spin Networks. For the tetrahedral spin network this gives the square of the Ponzano-Regge asymptotic formula for the SU(2) 6j symbol. For the 4-simplex (10j-symbol) the asymptotic formula is compared with numerical calculations of the Spin Network evaluation. Finally we discuss the asymptotics of the SO(3,1) 10j-symbol.

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