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キーワード:
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要旨:
Vacuum spherically symmetric Einstein gravity in N>~4 dimensions can be cast in a two-dimensional conformal nonlinear sigma model form by first integrating on the (N-2)-dimensional (hyper)sphere and then performing a canonical transformation. The conformal sigma model is described by two fields which are related to the Arnowitt-Deser-Misner (ADM) mass and to the radius of the (N-2)-dimensional (hyper)sphere, respectively. By quantizing perturbatively the theory we estimate the quantum corrections to the ADM mass of a black hole.
