Publication:
Generating functions for black hole entropy in loop quantum gravity

dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Modelización, Simulación Numérica y Matemática Industriales
dc.contributor.authorBarbero G., J. Fernando
dc.contributor.authorSánchez Villaseñor, Eduardo Jesús
dc.date.accessioned2017-05-12T09:54:44Z
dc.date.available2017-05-12T09:54:44Z
dc.date.issued2008-06-18
dc.description.abstractWe introduce, in a systematic way, a set of generating functions that solve all the different combinatorial problems that crop up in the study of black hole entropy in loop quantum gravity. Specifically we give generating functions for the following: the different sources of degeneracy related to the spectrum of the area operator, the solutions to the projection constraint, and the black hole degeneracy spectrum. Our methods are capable of handling the different countings proposed and discussed in the literature. The generating functions presented here provide the appropriate starting point to extend the results already obtained for microscopic black holes to the macroscopic regime—in particular those concerning the area law and the appearance of an effectively equidistant area spectrum.en
dc.description.sponsorshipWe want to thank I. Agulló, J.Díaz-Polo, and E. F. Borja for their comments, encouragement, and also for providing us with concrete numbers to cross-check the results presented here. This work is supported by the Spanish MEC Grant No. FIS2005-05736-C03-02.en
dc.format.extent5
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationPhysical Review D, 2008, 77, 121502(R)en
dc.identifier.doihttp://www.dx.doi.org/10.1103/PhysRevD.77.121502
dc.identifier.issn1550-7998
dc.identifier.publicationfirstpage121502-1
dc.identifier.publicationissue12
dc.identifier.publicationlastpage121502-5
dc.identifier.publicationtitlePhysical Review D. Particles, fields, gravitation, and cosmologyen
dc.identifier.publicationvolume77
dc.identifier.urihttps://hdl.handle.net/10016/24550
dc.identifier.uxxiAR/0000004921
dc.language.isoeng
dc.publisherThe American Physical Societyen
dc.relation.projectIDGobierno de España. FIS2005-05736-C03-02es
dc.rights© 2008 The American Physical Societyen
dc.rights.accessRightsopen access
dc.subject.ecienciaFísicaes
dc.subject.ecienciaMatemáticases
dc.titleGenerating functions for black hole entropy in loop quantum gravityen
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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