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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

hep-latarXiv:hep-lat/9709102

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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