3-DIMENSIONAL GRAVITY FROM THE TURAEV-VIRO INVARIANT

被引：67
|
作者：
MIZOGUCHI, S [1 ]
TADA, T [1 ]
机构：
[1] KYOTO UNIV, UJI RES CTR, YUKAWA INST THEORET PHYS, UJI, KYOTO 611, JAPAN
来源：
PHYSICAL REVIEW LETTERS | 1992年 / 68卷 / 12期
关键词：
D O I：
10.1103/PhysRevLett.68.1795
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study the q-deformed su(2) spin network as a three-dimensional quantum gravity model. We show that in the semiclassical continuum limit the Turaev-Viro invariant obtained recently defines a naturally regularized path integral a la Ponzano and Regge, in which a contribution from the cosmological term is effectively included. The regularization-dependent cosmological constant is found to be 4-pi2/k2+O(k-4), where q2k = 1. We also discuss the relation to the Euclidean Chern-Simons-Witten gravity in three dimensions.
引用
收藏
页码：1795 / 1798
页数：4
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