Universal Parametric correlations at the soft edge of the spectrum of random matrix ensembles

Abstract

We extend a recent theory of parametric correlations in the spectrum of random matrices to study the response to an external perturbation of eigenvalues near the soft edge of the support. We demonstrate by explicit non-perturbative calculation that the two-point function for level density fluctuations becomes, after appropriate rescaling, a universal expression.

8 pages, written in TeX, Preprint OUTP-94-10S (University of Oxford)

References in corpus (4)

• Level-Spacing Distributions and the Airy Kernel
• Spectral Density of the QCD Dirac Operator near Zero Virtuality
• Renormalization Group Approach to Matrix Models
• Random-Matrix Theory of Parametric Correlations in the Spectra of Disordered Metals and Chaotic Billiards

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