Quantum Gravity in 2+1 Dimensions: The Case of a Closed Universe

被引:70
作者
Carlip, Steven [1 ]
机构
[1] Univ Calif Davis, Dept Phys, Davis, CA 95616 USA
关键词
D O I
10.12942/lrr-2005-1
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
In three spacetime dimensions, general relativity drastically simplifies, becoming a "topological" theory with no propagating local degrees of freedom. Nevertheless, many of the difficult conceptual problems of quantizing gravity are still present. In this review, I summarize the rather large body of work that has gone towards quantizing (2 + 1)-dimensional vacuum gravity in the setting of a spatially closed universe.
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页数:63
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共 284 条
[21]  
[Anonymous], 1996, LOOPS KNOTS GAUGE TH
[22]  
[Anonymous], 1979, PRINCETON LECT NOTES
[25]   THE TURAEV-VIRO STATE SUM MODEL AND 3-DIMENSIONAL QUANTUM-GRAVITY [J].
ARCHER, F ;
WILLIAMS, RM .
PHYSICS LETTERS B, 1991, 273 (04) :438-444
[26]  
Arcioni G, 2003, J HIGH ENERGY PHYS
[27]  
Arnowitt R, 1962, Gravitation: An Introduction to Current Research, P227
[28]   Probing quantum gravity through exactly soluble midi-superspaces .1. [J].
Ashtekar, A ;
Pierri, M .
JOURNAL OF MATHEMATICAL PHYSICS, 1996, 37 (12) :6250-6270
[29]   Large quantum gravity effects: Unforeseen limitations of the classical theory [J].
Ashtekar, A .
PHYSICAL REVIEW LETTERS, 1996, 77 (24) :4864-4867
[30]   NEW LOOP REPRESENTATIONS FOR 2+1-GRAVITY [J].
ASHTEKAR, A ;
LOLL, R .
CLASSICAL AND QUANTUM GRAVITY, 1994, 11 (10) :2417-2434