Spectral correlations: understanding oscillatory contributions

B. Mehlig; M. Wilkinson

doi:10.1103/PhysRevE.63.045203

Spectral correlations: understanding oscillatory contributions

B. Mehlig, M. Wilkinson

Physics

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

39 Downloads (Pure)

Abstract

We give a different derivation of a relation obtained using a supersymmetric nonlinear sigma model by Andreev and Altshuler [Phys. Rev. Lett. 72, 902 (1995)], which connects smooth and oscillatory components of spectral correlation functions. We show that their result is not specific to the random matrix theory. Also, we show that despite an apparent contradiction, the results obtained using their formula are consistent with earlier perspectives on random matrix models.

Original language	English
Number of pages	4
Journal	Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume	63
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevE.63.045203
Publication status	Published - 28 Mar 2001

Keywords

matrix theory
spectral correlation
matrix models
sigma model
oscillatory contribution

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title = "Spectral correlations: understanding oscillatory contributions",

abstract = "We give a different derivation of a relation obtained using a supersymmetric nonlinear sigma model by Andreev and Altshuler [Phys. Rev. Lett. 72, 902 (1995)], which connects smooth and oscillatory components of spectral correlation functions. We show that their result is not specific to the random matrix theory. Also, we show that despite an apparent contradiction, the results obtained using their formula are consistent with earlier perspectives on random matrix models.",

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AU - Wilkinson, M.

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KW - sigma model

KW - oscillatory contribution

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M3 - Article

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JF - Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

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Spectral correlations: understanding oscillatory contributions

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