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arXiv 1808.09236hep-lat
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含Wilson夸克的格点量子色动力学中味非单重Noether流的高精度重整化

High precision renormalization of the flavour non-singlet Noether currents in lattice QCD with Wilson quarks

Mattia Dalla Brida, Tomasz Korzec, Stefan Sint, Pol Vilaseca

摘要:

我们确定了O($a$)改进的含Wilson夸克的格点量子色动力学的非微扰重整化轴流。我们的策略是基于手征旋转薛定谔功能,并可以推广到其他有限(比率)重整化常数,传统上通过施加连续手性沃德恒等式作为归一化条件。与后者相比,我们实现了一个数量级的误差减少。我们的研究结果已经能够为$N_{\rm f}=2+1$ CLS集合[1]设定规模,因此是最近由ALPHA合作[2]确定的$α_s$的重要组成部分。在本文中,我们简要回顾的策略,并提出我们的结果$N_{\rm f}=2$和$N_{\rm f}=3$格点量子色动力学,我们匹配的$β$ -值的CLS规范配置。除了轴向流重整化,我们还提出了精确的结果重整化的本地矢量流。

英文摘要:

We determine the non-perturbatively renormalized axial current for O($a$) improved lattice QCD with Wilson quarks. Our strategy is based on the chirally rotated Schrödinger functional and can be generalized to other finite (ratios of) renormalization constants which are traditionally obtained by imposing continuum chiral Ward identities as normalization conditions. Compared to the latter we achieve an error reduction up to one order of magnitude. Our results have already enabled the setting of the scale for the $N_{\rm f}=2+1$ CLS ensembles [1] and are thus an essential ingredient for the recent $α_s$ determination by the ALPHA collaboration [2]. In this paper we shortly review the strategy and present our results for both $N_{\rm f}=2$ and $N_{\rm f}=3$ lattice QCD, where we match the $β$-values of the CLS gauge configurations. In addition to the axial current renormalization, we also present precise results for the renormalized local vector current.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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