2008/09/24 by Hisamitsu Mukaida, Y. Sakamoto, Mukaida, Hisamitsu +2
Mathematics · Physics and Astronomy · #Physics of Superconductivity and Magnetism #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.0809.4071
7 pages, 3 figures, revised version with additional references and sentences
arxiv created 2009/01/13 · arxiv updated 2009/12/01
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 → 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.