Exactness of the replica method in perturbation

Hisamitsu Mukaida; Yoshinori Sakamoto

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arXiv · 0809.4071

Exactness of the replica method in perturbation

Hisamitsu Mukaida·Yoshinori Sakamoto

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Abstract

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.

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Hisamitsu Mukaida, Yoshinori Sakamoto. 2009-01-13. Exactness of the replica method in perturbation. https://arxiv.org/abs/0809.4071

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