Holonomy observables in Ponzano-Regge-type state sum models

被引：5

作者：

Barrett, John W. ^{[1
]}

Hellmann, Frank ^{[2
]}

机构：

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

[2] Albert Einstein Inst, Max Planck Inst Gravitat Phys, D-14476 Golm, Germany

来源：

CLASSICAL AND QUANTUM GRAVITY | 2012年 / 29卷 / 04期

关键词：

INVARIANTS; 3-MANIFOLDS; DIAGRAMS; GRAVITY;

D O I：

10.1088/0264-9381/29/4/045006

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Observables on group elements in the Ponzano-Regge model are studied. These observables are shown to have a natural interpretation in terms of Feynman diagrams on a sphere and are contrasted to the well-studied observables on the spin labels. The physical interpretation is elucidated by showing how they arise from the no-gravity limit of the Turaev-Viro model and Chern-Simons theory.

引用

页数：13

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