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arXiv · hep-lat/9811007

One loop renormalization for the axial Ward-Takahashi identity in Domain-wall QCD

Sinya Aoki·Yusuke Taniguchi
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Abstract

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 $Z_A=1$. 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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Sinya Aoki, Yusuke Taniguchi. 1998-11-04. One loop renormalization for the axial Ward-Takahashi identity in Domain-wall QCD. https://doi.org/10.1103/physrevd.59.094506

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