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

Preprint

26 December 1996

preprint
Published by arXiv in arXiv

Abstract

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) by carefully treating fluctuations in saddle-point evaluation.

Keywords

CORRELATORS IN GAUSSIAN
GAUSSIAN ORTHOGONAL
SYMPLECTIC RANDOM
MATRIX ENSEMBLES
WIDE CORRELATORS
REPLICA METHOD
RANDOM MATRIX
UNITARY

All Related Versions

Version 1, 1996-12-26, ArXiv
Version 2, 1998-01-16, ArXiv
Version 1, 1997-02-18, ArXiv (Unconfirmed version)
Version 2, 1997-02-22, ArXiv (Unconfirmed version)
Version 3, 1997-02-25, ArXiv (Unconfirmed version)
Published version: Journal of Physics A: General Physics, 30 (16), 5709.

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