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

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.

16 pages, 3 axodraw.sty figures

References in corpus (2)

• One loop calculation in lattice QCD with domain-wall quarks
• Perturbative Renormalization Factors of Quark Bilinear Operators for Domain-wall QCD

Cited by in corpus (7)

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• Perturbative renormalization of the first moment of structure functions for domain-wall QCD
• The Lattice $\Lambda$ Parameter in Domain Wall QCD