A Ponzano-Regge model of Lorentzian 3-dimensional gravity

被引：38

作者：

Freidel, L ^{[1
]}

机构：

[1] Ecole Normale Super Lyon, Phys Lab, Grp Theorie, F-69364 Lyon 07, France

来源：

NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS | 2000年 / 88卷

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/S0920-5632(00)00775-1

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We present the construction of the partition function of 3-dimensional gravity in the Lorentzian regime as a state sum model over a triangulation. This generalise the work of Ponzano and Regge to the case of Lorentzian signature.

引用

页码：237 / 240

页数：4

共 7 条

[1] DIFFERENTIAL GEOMETRY ON THE SPACE OF CONNECTIONS VIA GRAPHS AND PROJECTIVE-LIMITS [J].

ASHTEKAR, A ;

LEWANDOWSKI, J .

JOURNAL OF GEOMETRY AND PHYSICS, 1995, 17 (03) :191-230

[2]

KRASNOV K, 1999, ADV THEOR MATH PHYS, V2, P1183

[3] PARTITION-FUNCTIONS AND TOPOLOGY-CHANGING AMPLITUDES IN THE 3-DIMENSIONAL LATTICE GRAVITY OF PONZANO AND REGGE [J].

OOGURI, H .

NUCLEAR PHYSICS B, 1992, 382 (02) :276-304

[4]

PONZANO G, 1968, SPECTROSCOPIC THEORE

[5] BASIS OF THE PONZANO-REGGE-TURAEV-VIRO-OOGURI QUANTUM-GRAVITY MODEL IS THE LOOP REPRESENTATION BASIS [J].

ROVELLI, C .

PHYSICAL REVIEW D, 1993, 48 (06) :2702-2707

[6]

VILENKIN N, 1993, MATH ITS APPL, V1

[7] 2+1 DIMENSIONAL GRAVITY AS AN EXACTLY SOLUBLE SYSTEM [J].

WITTEN, E .

NUCLEAR PHYSICS B, 1988, 311 (01) :46-78

← 1 →