English

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

High Energy Physics - Lattice 2009-10-30 v1

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.

Keywords

Cite

@article{arxiv.hep-lat/9709102,
  title  = {Random-matrix universality in the small-eigenvalue spectrum of the lattice Dirac operator},
  author = {M. E. Berbenni-Bitsch and A. D. Jackson and S. Meyer and A. Schäfer and J. J. M. Verbaarschot and T. Wettig},
  journal= {arXiv preprint arXiv:hep-lat/9709102},
  year   = {2009}
}

Comments

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