Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-06-30
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
69 pages, 22 figures, LaTeX, Master thesis
Scientific paper
In this Master thesis we consider 't Hooft's polygon model for 2+1D gravity. After a detailed review of the polygon model in the classical context, we discuss problems associated with its quantization and calculate the explicitly the full Poisson structure of the constraints. The calculation of the Poisson structure in chapter 6 introduces corrections and generalizations to earlier published results. We show that the full Poisson structure closes on shell, but not off shell. An attempt is made to interpret the gauge orbits generated by the constraints.
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