Random-matrix universality in the small-eigenvalue spectrum of the lattice Dirac operator

M. E. Berbenni-Bitsch; A. D. Jackson; S. Meyer; A. Schäfer; J. J.M. Verbaarschot; T. Wettig

doi:10.1016/S0920-5632(97)00910-9

Random-matrix universality in the small-eigenvalue spectrum of the lattice Dirac operator

M. E. Berbenni-Bitsch
, A. D. Jackson
, S. Meyer
, A. Schäfer
, J. J.M. Verbaarschot
, T. Wettig

Physics and Astronomy

The University of Kaiserslautern-Landau
University of Copenhagen
University of Regensburg
Technical University of Munich

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

17 Scopus citations

Abstract

We analyze complete spectra of the lattice Dirac operator in SU(2) gauge theory and demonstrate that the distribution of low-lying eigenvalues is described by random matrix theory. We present possible practical applications of this random-matrix universality. In particular, reliable extrapolations of lattice gauge data to the thermodynamic limit are discussed.

Original language	English
Pages (from-to)	820-822
Number of pages	3
Journal	Nuclear Physics B - Proceedings Supplements
Volume	63
Issue number	1-3
DOIs	https://doi.org/10.1016/S0920-5632(97)00910-9
State	Published - Apr 1998

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abstract = "We analyze complete spectra of the lattice Dirac operator in SU(2) gauge theory and demonstrate that the distribution of low-lying eigenvalues is described by random matrix theory. We present possible practical applications of this random-matrix universality. In particular, reliable extrapolations of lattice gauge data to the thermodynamic limit are discussed.",

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AU - Berbenni-Bitsch, M. E.

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AU - Schäfer, A.

AU - Verbaarschot, J. J.M.

AU - Wettig, T.

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AB - We analyze complete spectra of the lattice Dirac operator in SU(2) gauge theory and demonstrate that the distribution of low-lying eigenvalues is described by random matrix theory. We present possible practical applications of this random-matrix universality. In particular, reliable extrapolations of lattice gauge data to the thermodynamic limit are discussed.

UR - https://www.scopus.com/pages/publications/0032040117

U2 - 10.1016/S0920-5632(97)00910-9

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EP - 822

JO - Nuclear Physics B - Proceedings Supplements

JF - Nuclear Physics B - Proceedings Supplements

IS - 1-3

ER -

Random-matrix universality in the small-eigenvalue spectrum of the lattice Dirac operator

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