Universality of Brezin and Zee's Spectral Correlator
C.W.J. Beenakker (Instituut-Lorentz, Leiden, The Netherlands)
TL;DR
This paper generalizes Brezin and Zee's spectral correlator for large hermitian matrices to all Wigner-Dyson ensembles, expanding its applicability in random matrix theory.
Contribution
It introduces a universal form of the spectral correlator applicable across all Wigner-Dyson ensembles, extending previous specific results.
Findings
Unified spectral correlator for all Wigner-Dyson ensembles
Enhanced understanding of eigenvalue correlations in large matrices
Potential applications in quantum chaos and statistical physics
Abstract
The smoothed correlation function for the eigenvalues of large hermitian matrices, derived recently by Brezin and Zee [Nucl. Phys. B402 (1993) 613], is generalized to all random-matrix ensembles of Wigner-Dyson type. Submitted to Nuclear Physics B[FS].
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