论文标题
从位置空间电流电流相关函数中运行耦合常数
Running coupling constant from position-space current-current correlation functions in three-flavor lattice QCD
论文作者
论文摘要
在这封信中，我们提供了三量量子染色体动力学（QCD）的耦合常数的确定，$α^{\ overline {\ mathrm {\ mathrm {ms}}} _ s（μ）$，for $ \ + edlineLline {\ mathrm {\ mathrm {MS}} $ renumalalization $ renormalization $ renumalization $ gremal-gremal-gremal-gremal grev scares $ grev call。该计算使用$ \ MATHCAL {O}（a）$ - 改进了由协调的晶格模拟（CLS）财团生成的Wilson-Clover Fermions的量规场配置合奏。我们的方法基于当前的相关功能，在这种情况下从未应用。我们对QCD $λ$ - 参数的转换结果转换，并获得$λ_{\ edromline {\ MathRM {\ MathRM {MS}}}}^{n_f = 3} = 342 \ pm 17 $ MEV，该$ MEV同意粒子数据组并具有竞争精确的世界平均值。通过最先进的CLS合奏与非常细的晶格间距的独特组合，使后者成为可能，从专用的数值随机扰动理论仿真，将矢量和轴向矢量通道的数据结合在一起，并与高阶攻击理论匹配，进一步降低了离散效应。
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.
