Asymptotics of relativistic spin networks

John W Barrett, Christopher M Steele
2003 Classical and quantum gravity  
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.
doi:10.1088/0264-9381/20/7/307 fatcat:vmhqwabfrjbgvp3tw3t4vo25qi