Wigner-Dyson Statistics from the Replica Method

Details Wigner-Dyson Statistics from the Replica Method Wigner-Dyson Statistics from the Replica Method

1999-01-12

arxiv.org/abs/cond-mat/9901110v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

13 pages, added references

Scientific paper

10.1088/0305-4470/32/24/304

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.

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