QUANTUM GRAVITY ASYMPTOTICS FROM THE SU(2) 15j- SYMBOL

被引：45

作者：

Barrett, John W. ^{[1
]}

Fairbairn, Winston J. ^{[1
,2
]}

Hellmann, Frank ^{[1
]}

机构：

[1] Univ Nottingham, Sch Math Sci, Nottingham NC7 2RD, England

[2] Univ Hamburg, Dept Math, D-20146 Hamburg, Germany

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2010年 / 25卷 / 14期

关键词：

Quantum gravity; RELATIVISTIC SPIN NETWORKS; GENERAL-RELATIVITY; VERTEX;

D O I：

10.1142/S0217751X10049281

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

The asymptotics of the SU(2) 15j-symbol are obtained using coherent states for the boundary data. The geometry of all nonsuppressed boundary data is given. For some boundary data, the resulting formula is interpreted in terms of the Regge action oft he geometry of a 4-simplex in four-dimensional Euclidean space. This asymptotic formula can be used to derive and extend the asymptotics of the spin foam amplitudes for quantum gravity models. The relation of the SU(2) Ooguri model to these quantum gravity models and their continuum Lagrangians is discussed.

引用

页码：2897 / 2916

页数：20