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

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作者
Steven Carlip
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[1] University of California,Department of Physics
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Quantum Gravity; Torus Universe; Reduced Phase Space Quantization; Spin Foam; Covariant Canonical Quantization;
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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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