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

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dc.creatorItoi, Chigak
dc.creatorMukaida, Hisamitsu
dc.creatorSakamoto, Yoshinori
dc.date1996-12-26
dc.date1998-01-16
dc.date.accessioned2026-07-07T10:51:41Z
dc.date.available2026-07-07T10:51:41Z
dc.descriptionWe 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.
dc.descriptionLaTeX 21 pages, a new result on wide three-level correlators added
dc.identifierhttps://arxiv.org/abs/cond-mat/9612228
dc.identifierhttp://arxiv.org/abs/cond-mat/9612228
dc.identifierJ.Phys.A30:5709-5725,1997
dc.identifierdoi:10.1088/0305-4470/30/16/014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184902
dc.subjectCondensed Matter
dc.titleReplica Method for Wide Correlators in Gaussian Orthogonal, Unitary And Symplectic Random Matrix Ensembles
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