Quantum gravity corrections to the Schwarzschild mass - art. no. 064019

Vacuum spherically symmetric Einstein gravity in N greater than or equal to 4 dimensions can he cast in a two-dimensional conformal nonlinear sigma mo del form by first integrating on the (N - 2)-dimensional (hyper)sphere and then performing a canonical transformation. The conformal sigma model is de scribed by two fields which are related to the Arnowitt-Deser-Misner (ADM) mass and to the radius of the (N - 2)-dimensional (hyper)sphere, respective ly. By quantizing perturbatively the theory we estimate the quantum correct ions to the ADM mass of a black hole.