Cosmological constant in loop quantum gravity vertex amplitude

被引：35
|
作者：
Han, Muxin [1 ]
机构：
[1] CNRS, Ctr Phys Theor, F-13288 Marseille, France
来源：
PHYSICAL REVIEW D | 2011年 / 84卷 / 06期
关键词：
DEFORMATION; 3-MANIFOLDS; INVARIANTS;
D O I：
10.1103/PhysRevD.84.064010
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
A new q deformation of the Euclidean EPRL/FK (Engle-Pereira-Rovelli-Livine/Freidel-Krasnov) vertex amplitude is proposed by using the evaluation of the Vassiliev invariant associated with a 4-simplex graph [related to two copies of quantum SU(2) group at different roots of unity] embedded in a 3-sphere. We show that the large-j asymptotics of the q-deformed vertex amplitude gives the Regge action with a cosmological constant. In the end we also discuss its relation with a Chern-Simons theory on the boundary of 4-simplex.
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页数：6
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