Asymptotics of relativistic spin networks

被引：80

作者：

Barrett, JW ^{[1
]}

Steele, CM ^{[1
]}

机构：

[1] Univ Nottingham, Sch Math Sci, Nottingham NG7 2RD, England

来源：

CLASSICAL AND QUANTUM GRAVITY | 2003年 / 20卷 / 07期

关键词：

D O I：

10.1088/0264-9381/20/7/307

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

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.

引用

页码：1341 / 1361

页数：21

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