The Low-lying Dirac Eigenmodes from Domain Wall Fermions

Details The Low-lying Dirac Eigenmodes from Domain Wall Fermions The Low-lying Dirac Eigenmodes from Domain Wall Fermions

2001-10-22

arxiv.org/abs/hep-lat/0110186v1

Nucl.Phys.Proc.Suppl. 106 (2002) 560-562

Physics

High Energy Physics

High Energy Physics - Lattice

Lattice2001(confinement)

Scientific paper

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 $\lambda$, whose spectral density is related to $<\bar{\psi} \psi>$ through the Banks-Casher relation, and $\delta m$, 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 $\Gamma_5$ matrix elements between the low-lying eigenmodes.

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