Exactness of the replica method in perturbation

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The 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.
7 pages, 3 figures, revised version with additional references and sentences

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Disordered Systems and Neural Networks, Statistical Mechanics

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http://salesiana.dossiersoluciones.com/handle/123456789/215471

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0809.4071
 http://arxiv.org/abs/0809.4071

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arXiv