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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
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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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M. E. Berbenni-Bitsch, A. D. Jackson, S. Meyer, A. Schäfer, J. J. M. Verbaarschot, T. Wettig. 1997-09-24. Random-matrix universality in the small-eigenvalue spectrum of the lattice Dirac operator. https://doi.org/10.1016/s0920-5632(97)00910-9

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