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
复制标题
域壁 QCD 中轴向 Ward-Takahashi 恒等式的一环重正化
DOI：
10.1103/physrevd.59.094506
复制
发表时间：
1998
影响因子：
5
通讯作者：
Y. Taniguchi
中科院分区：
文献类型：
--
作者：
S. Aoki;Y. Taniguchi
本文计算了畴壁QCD中Furman和Shamir给出的轴向Ward-Takahashi恒等式的单圈修正。它表明微扰的重整化轴Ward-Takahashi恒等式是满足没有微调和“保守”的轴矢量流没有收到重整化，给${Z}_{A}=1$。这一事实将简化数值模拟中π介子衰变常数的计算，因为由该电流定义的衰变常数不需要晶格重整化因子。
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 ${Z}_{A}=1$. 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.