Exactness of the replica method in perturbation

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dc.creatorMukaida, Hisamitsu
dc.creatorSakamoto, Yoshinori
dc.date2008-09-24
dc.date2009-01-13
dc.date.accessioned2026-07-07T12:28:14Z
dc.date.available2026-07-07T12:28:14Z
dc.descriptionThe replica method for a quenched disordered system is considered in a perturbative field theory. Since correction in a finite-order perturbation is given in a polynomial of the replica number $n$, the zero-replica limit $n \to 0$ is regarded as extracting the constant term from the polynomial, which mathematically makes sense. The meaning of the extraction is clarified comparing with a direct calculation.
dc.description7 pages, 3 figures, revised version with additional references and sentences
dc.identifierhttps://arxiv.org/abs/0809.4071
dc.identifierhttp://arxiv.org/abs/0809.4071
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215471
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.titleExactness of the replica method in perturbation
dc.typetext

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