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The Low-lying Dirac Eigenmodes from Domain Wall Fermions

Guofeng Liu
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Abstract

We calculate the low-lying eigenvalues and eigenvectors of the hermitian domain wall Dirac operator on various gauge backgrounds by Ritz minimization. The mass dependence of these eigenvalues is studied to extract the physical 4 dimensional $λ$, whose spectral density is related to $<\barψ ψ>$ through the Banks-Casher relation, and $δm$, which represents the effects of the residual chiral symmetry breaking in domain wall formalism on a per eigenmode basis. The topological structure of the underlying gauge field is examined by measuring the $Γ_5$ matrix elements between the low-lying eigenmodes.

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Guofeng Liu. 2001-10-22. The Low-lying Dirac Eigenmodes from Domain Wall Fermions. https://arxiv.org/abs/hep-lat/0110186

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