论文标题

关于用稳定的Wilson Fermions改善轴向向量电流

On improvement of the axial-vector current with stabilised Wilson fermions

论文作者

Fritzsch, Patrick, Heitger, Jochen, Kuhlmann, Justus T.

论文摘要

我们在稳定的Wilson-Clover Fermions的框架内报告了改进系数$ c _ {\ rm a} $的改进系数$ c _ {\ rm a} $。这是通过要求PCAC关系保留两个不同的伪量表状态来完成的。为了生成这些状态,采用了Schrödinger功能晶格边界上的空间结构的波形,并探索了(先前应用的)波函数方法的某些变化。改进系数是在几个合奏中确定的,用于一系列量规耦合,这可能对未来的应用有用。还显示了轴向矢量电流的向量电流的肾小效应常数$ z {\ rm v} $的初步结果。

We report on the determination of the improvement coefficient $c_{\rm A}$ for the non-singlet axial-vector current $A^{a}_μ(x)$ in the framework of stabilised Wilson-Clover fermions within three flavour lattice QCD. This is done by requiring the PCAC relation to hold for two different pseudo-scalar states. To generate these states, wavefunctions altering spatial structures on the boundaries of a Schrödinger functional lattice are employed and some variations of the (previously applied) wavefunction method are explored. The improvement coefficient is determined on a few ensembles for a range of gauge couplings that is potentially useful for future applications. Preliminary results on the renormalisation constants $Z_{\rm V}$ for the vector current and $Z_{\rm A}$ for the axial-vector current are also presented.

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