Wigner-Dyson Statistics from the Replica Method
classification
❄️ cond-mat.dis-nn
keywords
replicacorrelationfunctionsmethodbreakcalculationcomputecorrectly
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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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