Black Hole State Counting in Loop Quantum Gravity: A Number-Theoretical Approach

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Show simple item record Agulló, Iván Barbero G., J. Fernando Díaz-Polo, Jacobo Fernández Borja, Enrique Sánchez Villaseñor, Eduardo Jesús 2017-05-12T09:38:08Z 2017-05-12T09:38:08Z 2008-05-27
dc.identifier.bibliographicCitation Physical Review Letters, 2008, 100, 211301
dc.identifier.issn 0031-9007
dc.description.abstract We give an efficient method, combining number-theoretic and combinatorial ideas, to exactly compute black hole entropy in the framework of loop quantum gravity. Along the way we provide a complete characterization of the relevant sector of the spectrum of the area operator, including degeneracies, and explicitly determine the number of solutions to the projection constraint. We use a computer implementation of the proposed algorithm to confirm and extend previous results on the detailed structure of the black hole degeneracy spectrum.
dc.description.sponsorship We want to thank J. Baez, I. Garay, H. Sahlmann, and J. Salas for their comments. This work is supported by the Spanish MEC Grants No. FIS2005-05736-C03-02, No. FIS2005-05736-C03-03, No. ESP2005-07714-C03-01, and No. FIS2005-02761. I. A. and J. D.-P. acknowledge financial support provided by the Spanish Ministry of Science and Education under the FPU program.
dc.format.extent 4
dc.format.mimetype application/pdf
dc.language.iso eng
dc.publisher The American Physical Society
dc.rights © 2008 American Physical Society
dc.title Black Hole State Counting in Loop Quantum Gravity: A Number-Theoretical Approach
dc.type article
dc.subject.eciencia Física
dc.subject.eciencia Matemáticas
dc.rights.accessRights openAccess
dc.relation.projectID Gobierno de España. FIS2005-05736-C03-02
dc.relation.projectID Gobierno de España. FIS2005-05736-C03-03
dc.relation.projectID Gobierno de España. ESP2005-07714-C03-01
dc.relation.projectID Gobierno de España. FIS2005-02761
dc.type.version publishedVersion
dc.identifier.publicationfirstpage 211301-1
dc.identifier.publicationissue 21
dc.identifier.publicationlastpage 211301-4
dc.identifier.publicationtitle Physical Review Letters
dc.identifier.publicationvolume 100
dc.identifier.uxxi AR/0000004902
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