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Chirality Correlation within Dirac Eigenvectors from Domain Wall Fermions

T. Blum·N. Christ·C. Cristian·C. Dawson·X. Liao·G. Liu·R. Mawhinney·L. Wu·Y. Zhestkov
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Abstract

In the dilute instanton gas model of the QCD vacuum, one expects a strong spatial correlation between chirality and the maxima of the Dirac eigenvectors with small eigenvalues. Following Horvath, {\it et al.} we examine this question using lattice gauge theory within the quenched approximation. We extend the work of those authors by using weaker coupling, $β=6.0$, larger lattices, $16^4$, and an improved fermion formulation, domain wall fermions. In contrast with this earlier work, we find a striking correlation between the magnitude of the chirality density, $|ψ^\dagger(x)γ^5ψ(x)|$, and the normal density, $ψ^\dagger(x)ψ(x)$, for the low-lying Dirac eigenvectors.

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T. Blum, N. Christ, C. Cristian, C. Dawson, X. Liao, G. Liu, R. Mawhinney, L. Wu, Y. Zhestkov. 2001-05-07. Chirality Correlation within Dirac Eigenvectors from Domain Wall Fermions. https://doi.org/10.1103/physrevd.65.014504

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