We calculate the 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 vector 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.
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Aoki et al. (1999) studied this question.
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