@article{oai:tsukuba.repo.nii.ac.jp:00007775, author = {Aoki, S. and Fukugita, M. and Ishizuka, N. and Iwasaki, Y. and 岩崎, 洋一 and Kanaya, K. and Kaneko, T. and Kuramashi, Y. and Okawa, M. and Taniguchi, Y. and Ukawa, A. and 宇川, 彰 and Yoshie, T.}, issue = {3}, journal = {Physical review D}, month = {Aug}, note = {We report on a nonperturbative evaluation of the renormalization factors for the vector and axial-vector currents, ZV and ZA, in the quenched domain-wall QCD (DWQCD) with plaquette and renormalization-group-improved gauge actions. We take the Dirichlet boundary condition for both gauge and domain-wall fermion fields on the finite box, and introduce flavor-chiral Ward-Takahashi identities to calculate the renormalization factors. As a test of the method, we numerically confirm the expected relation that ZV≃ZA in DWQCD. Employing two different box sizes for the numerical simulations at several values of the gauge coupling constant g^2 and the domain-wall height M, we extrapolate ZV to infinite volume to remove a/L errors. We finally give the interpolation formula of ZV in the infinite volume as a function of g^2 and M.}, title = {Nonperturbative calculation of ZV and ZA in domain-wall QCD on a finite box}, volume = {70}, year = {2004} }