2022-01-23T07:25:54Zhttps://tsukuba.repo.nii.ac.jp/oaioai:tsukuba.repo.nii.ac.jp:000077752021-03-02T11:53:42ZNonperturbative calculation of ZV and ZA in domain-wall QCD on a finite box岩崎, 洋一宇川, 彰Aoki, S.Fukugita, M.Ishizuka, N.Iwasaki, Y.Kanaya, K.Kaneko, T.Kuramashi, Y.Okawa, M.Taniguchi, Y.Ukawa, A.Yoshié, T.application/pdfWe 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 g2 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 g2 and M.journal articleAmerican Physical Society2004-08application/pdfPhysical review D370034503http://hdl.handle.net/2241/893181550-7998AA00773624https://tsukuba.repo.nii.ac.jp/record/7775/files/PRD_70-3.pdfeng10.1103/PhysRevD.70.034503©2004 The American Physical Society