Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2001-09-21
Phys.Rev. D65 (2002) 074502
Physics
High Energy Physics
High Energy Physics - Lattice
Added a reference and modified the acknowledgment
Scientific paper
10.1103/PhysRevD.65.074502
We investigate chiral properties of the domain-wall fermion (DWF) system by using the four-dimensional hermitian Wilson-Dirac operator. We first derive a formula which connects a chiral symmetry breaking term in the five dimensional DWF Ward-Takahashi identity with the four dimensional Wilson-Dirac operator, and simplify the formula in terms of only the eigenvalues of the operator, using an ansatz for the form of the eigenvectors. For a given distribution of the eigenvalues, we then discuss the behavior of the chiral symmetry breaking term as a function of the fifth dimensional length. We finally argue the chiral property of the DWF formulation in the limit of the infinite fifth dimensional length, in connection with spectra of the hermitian Wilson-Dirac operator in the infinite volume limit as well as in the finite volume.
Aoki Sadao
Taniguchi Yoshiaki
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