Chirality Correlation within Dirac Eigenvectors from Domain Wall Fermions

Details Chirality Correlation within Dirac Eigenvectors from Domain Wall Fermions Chirality Correlation within Dirac Eigenvectors from Domain Wall Fermions

2001-05-07

arxiv.org/abs/hep-lat/0105006v1

Phys.Rev. D65 (2002) 014504

Physics

High Energy Physics

High Energy Physics - Lattice

latex, 25 pages including 12 eps figures

Scientific paper

10.1103/PhysRevD.65.014504

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, $\beta=6.0$, 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, $|\psi^\dagger(x)\gamma^5\psi(x)|$, and the normal density, $\psi^\dagger(x)\psi(x)$, for the low-lying Dirac eigenvectors.

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