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#### Quantum gravity corrections to the Schwarzschild mass

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9912024v1.pdf

(Preprint), 209KB

Phy.Rev.D.61.064019.pdf

(Publisher version), 119KB

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##### Citation

Cavaglia, M., & Ungarelli, C. (2000). Quantum gravity corrections to the Schwarzschild
mass.* Physical Review D,* *61*(6): 064019. doi:10.1103/PhysRevD.61.064019.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5741-F

##### Abstract

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.