arxiv: hep-lat/9709102 · v1 · submitted 1997-09-24 · ✦ hep-lat

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

M.E. Berbenni-Bitsch , A.D. Jackson , S. Meyer , A. Sch\"afer , J.J.M. Verbaarschot , T. Wettig This is my paper

classification ✦ hep-lat

keywords latticediracgaugeoperatorrandom-matrixtheoryuniversalityanalyze

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

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