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 〈 ψ ψ〉 through the Banks-Casher relation, and δ m, 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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