One-loop Renormalization of Black Hole Entropy Due to Non-minimally Coupled Matter

Details One-loop Renormalization of Black Hole Entropy Due to Non-minimally Coupled Matter One-loop Renormalization of Black Hole Entropy Due to Non-minimally Coupled Matter

1995-04-06

arxiv.org/abs/hep-th/9504022v1

Phys.Rev. D52 (1995) 7046-7052

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, latex, no figures

Scientific paper

10.1103/PhysRevD.52.7046

The quantum entanglement entropy of an eternal black hole is studied. We argue that the relevant Euclidean path integral is taken over fields defined on $\alpha$-fold covering of the black hole instanton. The statement that divergences of the entropy are renormalized by renormalization of gravitational couplings in the effective action is proved for non-minimally coupled scalar matter. The relationship of entanglement and thermodynamical entropies is discussed.

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