Replica Method for Wide Correlators in Gaussian Orthogonal, Unitary And Symplectic Random Matrix Ensembles

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We calculate connected correlators in Gaussian orthogonal, unitary and symplectic random matrix ensembles by the replica method in the 1/N-expansion. We obtain averaged one-point Green's functions up to the next-to-leading order O(1/N) and wide two-level correlators up to the first nontrivial order O(1/N^2) and wide three-level correlators up to the first nontrivial order $O(1/N^4)$ by carefully treating fluctuations in saddle-point evaluation.
LaTeX 21 pages, a new result on wide three-level correlators added

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Condensed Matter

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http://salesiana.dossiersoluciones.com/handle/123456789/184902

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/9612228
 http://arxiv.org/abs/cond-mat/9612228
 J.Phys.A30:5709-5725,1997
 doi:10.1088/0305-4470/30/16/014

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arXiv