We calculate one-loop correction to the axial Ward-Takahashi identity given by Furman and Shamir in domain-wall QCD. It is shown perturbatively that the renormalized axial Ward-Takahashi identity is satisfied without fine tuning and the ``conserved'' axial current receives no renormalization, giving ZA=1. This fact will simplify the calculation of the pion decay constant in numerical simulations since the decay constant defined by this current needs no lattice renormalization factor.
@article{arxiv.hep-lat/9811007,
title = {One loop renormalization for the axial Ward-Takahashi identity in Domain-wall QCD},
author = {Sinya Aoki and Yusuke Taniguchi},
journal= {arXiv preprint arXiv:hep-lat/9811007},
year = {2009}
}