Asymptotics of relativistic spin networks
Sep, 2002Citations per year
Abstract: (arXiv)
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.Note:
- 31 pages, latex. v3: minor clarifications
- space-time: triangulation
- spin: network
- relativistic
- asymptotic behavior
- Clebsch-Gordan coefficients
- symmetry: SO(4)
- symmetry: SU(2)
- symmetry: SO(3,1)
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