Asymptotics of Relativistic Spin Networks
classification
🌀 gr-qc
keywords
spinasymptoticasymptoticsformulaj-symbolnetworknetworksrelativistic
read the original abstract
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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