Wigner-Dyson Statistics from the Replica Method

Preprint

9 March 1999

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9901110

Abstract

We compute the correlation functions of the eigenvalues in the Gaussian unitary ensemble using the fermionic replica method. We show that non--trivial saddle points, which break replica symmetry, must be included in the calculation in order to reproduce correctly the exact results for the correlation functions at large distance.

Keywords

WIGNER DYSON STATISTICS
CORRELATION FUNCTIONS
REPLICA METHOD
EIGENVALUES
ENSEMBLE
WIGNER

All Related Versions

Version 1, 1999-01-12, ArXiv
Version 2, 1999-03-09, ArXiv
Published version: Journal of Physics A: General Physics, 32 (24), 4373.

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