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arXiv 2003.05781hep-lat
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三味格点量子色动力学中位置-空间流-流关联函数的运行耦合常数

Running coupling constant from position-space current-current correlation functions in three-flavor lattice QCD

Salvatore Cali, Krzysztof Cichy, Piotr Korcyl, Jakob Simeth

摘要:

在这封信中,我们提供了一个确定的耦合常数在三味量子色动力学(QCD),$α^{\overline{\mathrm{MS}}}_s(μ)$,$\overline{\mathrm{MS}}$重整化标度$μ\in (1,\,2)$ GeV。计算使用规范场配置合奏与$\mathcal{O}(a)$ -改进的威尔逊三叶草费米子产生的协调晶格模拟(CLS)财团。我们的方法是基于电流-电流的关联函数,以前从未在这种情况下应用。我们将结果微扰转换为QCD $Λ$参数,得到$Λ_{\overline{\mathrm{MS}}}^{N_f=3} = 342 \pm 17$ MeV,它与粒子数据组公布的世界平均值一致,具有竞争力的精度。后者是通过最先进的CLS合奏与非常精细的晶格间距的独特组合,进一步减少离散化效应从一个专门的数值随机扰动理论模拟,结合数据从矢量和轴向矢量通道和匹配高阶扰动理论。

英文摘要:

In this Letter, we provide a determination of the coupling constant in three-flavor quantum chromodynamics (QCD), $α^{\overline{\mathrm{MS}}}_s(μ)$, for $\overline{\mathrm{MS}}$ renormalization scales $μ\in (1,\,2)$ GeV. The computation uses gauge field configuration ensembles with $\mathcal{O}(a)$-improved Wilson-clover fermions generated by the Coordinated Lattice Simulations (CLS) consortium. Our approach is based on current-current correlation functions and has never been applied before in this context. We convert the results perturbatively to the QCD $Λ$-parameter and obtain $Λ_{\overline{\mathrm{MS}}}^{N_f=3} = 342 \pm 17$ MeV, which agrees with the world average published by the Particle Data Group and has competing precision. The latter was made possible by a unique combination of state-of-the-art CLS ensembles with very fine lattice spacings, further reduction of discretization effects from a dedicated numerical stochastic perturbation theory simulation, combining data from vector and axial-vector channels and matching to high-order perturbation theory.

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