Eigenvalue Distributions of the QCD Dirac Operator

Details Eigenvalue Distributions of the QCD Dirac Operator Eigenvalue Distributions of the QCD Dirac Operator

2000-07-27

arxiv.org/abs/hep-lat/0007041v2

Phys.Lett. B495 (2000) 263-270

Physics

High Energy Physics

High Energy Physics - Lattice

LaTeX, 8 pages, 9 postscript figures. Very minor corrections

Scientific paper

10.1016/S0370-2693(00)01191-6

We compute by Monte Carlo methods the individual distributions of the $k$th smallest Dirac operator eigenvalues in QCD, and compare them with recent analytical predictions. We do this for both massless and massive quarks in an SU(3) gauge theory with staggered fermions. Very precise agreement is found in all cases. As a simple by-product we also extract the microscopic spectral density of the Dirac operator in SU(3) gauge theory with dynamical massive fermions for $N_f=1$ and 2, and obtain high-accuracy agreement with analytical expressions.

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