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

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

1997-09-24

arxiv.org/abs/hep-lat/9709102v1

Nucl.Phys.Proc.Suppl. 63 (1998) 820-822

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, 4 figures (included), talk given by T. Wettig at "Lattice 97", to appear in the proceedings

Scientific paper

10.1016/S0920-5632(97)00910-9

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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