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

1992/11/11 by Enrique Alvarez, Enrique Alarcón Álvarez · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #hep-th

paper · pdf · doi:10.1142/s0218271893000027

published as Int.J.Mod.Phys. D2 (1993) 1-14 · 22 pages

arxiv created 1992/11/11 · openalex publication_date 1993/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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