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Distribution of the k-th smallest Dirac operator eigenvalue

arXiv:hep-th/0006111 · doi:10.1103/PhysRevD.63.045012

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.

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

Distribution of the k-th smallest Dirac operator eigenvalue · wovepaper