Wigner-Dyson statistics from the replica method

Alex Kamenev, Marc Mézard

Research output: Contribution to journalArticlepeer-review

59 Scopus citations

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 correctly reproduce the exact asymptotic behaviour of the correlation functions at a large distance.

Original languageEnglish (US)
Pages (from-to)4373-4388
Number of pages16
JournalJournal of Physics A: Mathematical and General
Volume32
Issue number24
DOIs
StatePublished - Jun 18 1999

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