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Distribution of the k-th smallest Dirac operator eigenvalue

High Energy Physics - Theory 2009-10-31 v2 Condensed Matter High Energy Physics - Lattice

Abstract

Based on the exact relationship to Random Matrix Theory, we derive the probability distribution of the k-th smallest Dirac operator eigenvalue in the microscopic finite-volume scaling regime of QCD and related gauge theories.

Cite

@article{arxiv.hep-th/0006111,
  title  = {Distribution of the k-th smallest Dirac operator eigenvalue},
  author = {P. H. Damgaard and S. M. Nishigaki},
  journal= {arXiv preprint arXiv:hep-th/0006111},
  year   = {2009}
}

Comments

REVTeX 3.1, 6 pages, 1 figure. Corrected factors in eqs. (16a) and (16c) and very minor typos (v2)

R2 v1 2026-07-22T14:58:32.605Z