Static Quantization of Two-dimensional Dilaton Gravity and Black Holes
Abstract
Two-dimensional matterless dilaton gravity is a topological theory and can be classically reduced to a (0+1)-dimensional theory with a finite number of degrees of freedom. If quantization is performed, a simple gauge invariant quantum mechanics is obtained. The properties of the gauge invariant operators and of the Hilbert space of physical states can be determined. In particular, for N-dimensional pure gravity with (N-2)-dimensional spherical symmetry, the square of the ADM mass operator is self-adjoint, not the mass itself.
- Publication:
-
Gravitation and Cosmology
- Pub Date:
- September 1999
- DOI:
- 10.48550/arXiv.hep-th/9907052
- arXiv:
- arXiv:hep-th/9907052
- Bibcode:
- 1999GrCo....5..161C
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 12 pages, no figures, LaTeX