The thermodynamic limit and black hole entropy in the area ensemble

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Show simple item record Barbero G., J. Fernando Sánchez Villaseñor, Eduardo Jesús 2017-05-18T10:44:30Z 2017-05-18T10:44:30Z 2011-09-23
dc.identifier.bibliographicCitation Classical and Quantum Gravity, 2011, 28 (21), 215014.
dc.identifier.issn 0264-9381
dc.description.abstract We discuss the thermodynamic limit in the canonical area ensemble usedin loop quantum gravity to model quantum black holes. The computationof the thermodynamic limit is the rigorous way to obtain a smooth entropyfrom the counting entropy given by a direct determination of the number ofmicrostates compatible with macroscopic quantities (the energy in standardstatistical mechanics or the area in the framework presented here). As wewill show in specific examples the leading behavior of the smoothed entropyfor large horizon areas is the same as the counting entropy but the subleadingcontributions differ. This is important because these corrections determine the concavity or convexity of the entropy as a function of the area.
dc.description.sponsorship We want to thank Ivan Agullo, Enrique F Borja, Alejandro Corichi, Jacobo Diaz-Polo, Alejandro Perez, Hanno Sahlmann and Madhavan Varadarajan for interesting discussions and comments. This work has been supported by the Spanish MICINN research grant FIS2009-11893 and the Consolider-Ingenio 2010 Program CPAN (CSD2007-00042).
dc.format.extent 15
dc.format.mimetype application/pdf
dc.language.iso eng
dc.publisher IOP Publishing
dc.rights © 2011 IOP Publishing Ltd
dc.subject.other Quantum-statistical mechanics
dc.subject.other Isolated horizons
dc.subject.other Geometry
dc.subject.other Gravity
dc.title The thermodynamic limit and black hole entropy in the area ensemble
dc.type article
dc.subject.eciencia Física
dc.subject.eciencia Matemáticas
dc.rights.accessRights openAccess
dc.relation.projectID Gobierno de España. FIS2009-11893
dc.relation.projectID Gobierno de España. CSD2007-00042
dc.type.version acceptedVersion
dc.identifier.publicationfirstpage 215014-1
dc.identifier.publicationissue 21
dc.identifier.publicationlastpage 215014-15
dc.identifier.publicationtitle Classical and Quantum Gravity
dc.identifier.publicationvolume 28
dc.identifier.uxxi AR/0000009252
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