Static Quantization of Two-dimensional Dilaton Gravity and Black Holes

Marco Cavaglia; Vittorio de Alfaro

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arXiv · hep-th/9907052

Static Quantization of Two-dimensional Dilaton Gravity and Black Holes

Marco Cavaglia·Vittorio de Alfaro

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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.

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Marco Cavaglia, Vittorio de Alfaro. 1999-07-08. Static Quantization of Two-dimensional Dilaton Gravity and Black Holes. https://arxiv.org/abs/hep-th/9907052

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