Wigner-Dyson Statistics from the Replica Method
Disordered Systems and Neural Networks
2009-10-31 v2
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.
Cite
@article{arxiv.cond-mat/9901110,
title = {Wigner-Dyson Statistics from the Replica Method},
author = {Alex Kamenev and Marc Mezard},
journal= {arXiv preprint arXiv:cond-mat/9901110},
year = {2009}
}
Comments
13 pages, added references