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Summability of the perturbative expansion for a zero-dimensional disordered spin model

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dc.contributor.authorÁlvarez, Gabriel
dc.contributor.authorMartín Mayor, Víctor
dc.contributor.authorRuiz Lorenzo, Juan J.
dc.date.accessioned2023-06-20T20:28:31Z
dc.date.available2023-06-20T20:28:31Z
dc.date.issued2000-02-11
dc.description© 2000 IOP Publishing Ltd. We thank Professors G. Parisi for useful discussions and A. J. Bray for providing references. The financial support of the Universidad Complutense under project PR156/97-7100, the Comisión Interministerial de Ciencia y Tecnología under project AEN96-1708, and a postdoctoral grant from the MEC are also gratefully acknowledged.
dc.description.abstractWe show analytically that the perturbative expansion for the free energy of the zero dimensional (quenched) disordered Ising model is Borel-summable in a certain range of parameters, provided that the summation is carried out in two steps: first, in the strength of the original coupling of the Ising model and subsequently in the variance of the quenched disorder. This result is illustrated by some high-precision calculations of the free energy obtained by a straightforward numerical implementation of our sequential summation method.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipUniversidad Complutense de Madrid
dc.description.sponsorshipComisión Interministerial de Ciencia y Tecnología
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/46811
dc.identifier.doi10.1088/0305-4470/33/5/302
dc.identifier.issn0305-4470
dc.identifier.officialurlhttp://dx.doi.org/10.1088/0305-4470/33/5/302
dc.identifier.relatedurlhttp://iopscience.iop.org
dc.identifier.relatedurlhttps://arxiv.org/abs/cond-mat/9910186v1
dc.identifier.urihttps://hdl.handle.net/20.500.14352/60330
dc.issue.number5
dc.journal.titleJournal of physics A: mathematical and general
dc.language.isoeng
dc.page.final850
dc.page.initial841
dc.publisherIOP Publishing
dc.relation.projectIDPR156/97-7100
dc.relation.projectIDAEN96-1708
dc.rights.accessRightsopen access
dc.subject.cdu53
dc.subject.keywordDilute ising-model
dc.subject.keywordSystems.
dc.subject.ucmFísica-Modelos matemáticos
dc.titleSummability of the perturbative expansion for a zero-dimensional disordered spin model
dc.typejournal article
dc.volume.number33
dspace.entity.typePublication
relation.isAuthorOfPublication061118c0-eadf-4ee3-8897-2c9b65a6df66
relation.isAuthorOfPublication.latestForDiscovery061118c0-eadf-4ee3-8897-2c9b65a6df66

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