Wigner-Dyson Statistics from the Replica Method
arXiv:cond-mat/9901110 · doi:10.1088/0305-4470/32/24/304
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.
13 pages, added references