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

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

1998-11-04

arxiv.org/abs/hep-lat/9811007v1

Phys.Rev. D59 (1999) 094506

Physics

High Energy Physics

High Energy Physics - Lattice

16 pages, 3 axodraw.sty figures

Scientific paper

10.1103/PhysRevD.59.094506

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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