Spectral Properties of the Overlap Dirac Operator in QCD

Details Spectral Properties of the Overlap Dirac Operator in QCD Spectral Properties of the Overlap Dirac Operator in QCD

2003-06-18

arxiv.org/abs/hep-lat/0306022v2

JHEP 0307 (2003) 033

Physics

High Energy Physics

High Energy Physics - Lattice

16 pages, 8 figures, final version published in JHEP

Scientific paper

10.1088/1126-6708/2003/07/033

We discuss the eigenvalue distribution of the overlap Dirac operator in quenched QCD on lattices of size 8^{4}, 10^{4} and 12^{4} at \beta = 5.85 and \beta = 6. We distinguish the topological sectors and study the distributions of the leading non-zero eigenvalues, which are stereographically mapped onto the imaginary axis. Thus they can be compared to the predictions of random matrix theory applied to the \epsilon-expansion of chiral perturbation theory. We find a satisfactory agreement, if the physical volume exceeds about (1.2 fm)^{4}. For the unfolded level spacing distribution we find an accurate agreement with the random matrix conjecture on all volumes that we considered.

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