Winstanley, E. orcid.org/0000-0001-8964-8142 (2001) Renormalized black hole entropy in anti-de Sitter space via the "brick wall" method. Physical Review D, 63 (8). 084013. ISSN 0556-2821
Abstract
We consider the entropy of a quantum scalar field on a background black hole geometry in asymptotically anti–de Sitter space-time, using the “brick wall” approach. In anti–de Sitter space, the theory has no infrared divergences, and all ultraviolet divergences can be absorbed into a renormalization of the coupling constants in the one-loop effective gravitational Lagrangian. We then calculate the finite renormalized entropy for the Schwarzschild–anti-de Sitter and extremal Reissner–Nordström–anti-de Sitter black holes, and show that, at least for large black holes, the entropy is entirely accounted for by the one-loop Lagrangian, apart possibly from terms proportional to the logarithm of the event horizon radius. For small black holes, there are indications that non-perturbative quantum gravity effects become important.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2001 The American Physical Society. This is an author produced version of a paper subsequently published in Physical Review D. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Stastical-mechanics; quantum entropy; thermodynamics; constant; fields |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 27 Jul 2016 15:18 |
Last Modified: | 21 Mar 2018 14:50 |
Published Version: | http://dx.doi.org/10.1103/PhysRevD.63.084013 |
Status: | Published |
Publisher: | American Physical Society |
Refereed: | Yes |
Identification Number: | 10.1103/PhysRevD.63.084013 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:102582 |