SOME GENERAL PROBLEMS IN QUANTUM GRAVITY II: THE THREE-DIMENSIONAL CASE

Author:

ÁLVAREZ ENRIQUE1

Affiliation:

1. Departmento de Física Teórica C-XI, Universidad Autónoma de Madrid, 28049 Madrid, Spain

Abstract

The general problems of three-dimensional quantum gravity are recapitulated here, with emphasis on the mathematical problems of defining the measure of the path integral over all three-dimensional metrics. This work should be viewed as an extension of a preceding one on the four-dimensional case,12 where some general ideas were also discussed in detail. We finally put forward some suggestions on the lines where one could expect further progress in the field.

Publisher

World Scientific Pub Co Pte Lt

Subject

Space and Planetary Science,Astronomy and Astrophysics,Mathematical Physics

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Bottom up approach to Quantum Gravity;Journal of Physics: Conference Series;2011-09-22

2. Complex Topological Invariants of Three-Hyperbolic Manifolds;Journal of Dynamical Systems and Geometric Theories;2006-05

3. Using 3D string-inspired gravity to understand the Thurston conjecture;Classical and Quantum Gravity;2004-01-27

4. Thurston geometries from eleven dimensions;Classical and Quantum Gravity;2002-11-18

5. Quantum fields and extended objects in space-times with constant curvature spatial section;Physics Reports;1996-02

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