2001/10/22 by Guofeng Liu
Physics and Astronomy · #hep-lat
published as Nucl.Phys.Proc.Suppl. 106 (2002) 560-562 · Lattice2001(confinement)
arxiv created 2001/10/22 · arxiv updated 2009/11/30
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 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 Γ5 matrix elements between the low-lying eigenmodes.