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arXiv 1107.4388hep-lathep-ph
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格点量子色动力学中的矢量关联函数:方法和应用

Vector Correlators in Lattice QCD: methods and applications

David Bernecker, Harvey B. Meyer

摘要:

讨论了格点量子色动力学中主导强子真空极化的计算。利用e^+e^->强子截面的高质量实验数据,我们预测了物理π质量下大体积晶格计算的结果,并为晶格设计了计算策略,以影响重要的唯象量,如强子对(g-2)μ的主要贡献和电磁耦合常数的运行。首先,R(s)比可以直接在阈值区域的晶格上计算,并且我们提供了在扭曲边界条件下这样做的公式。其次,当前相关器投影到零空间动量,在欧几里得时间间隔,它可以被准确地计算,提供了一个潜在的关键测试的实验R(s)比在该地区是最相关的(g-2)μ。这个观察也可以反过来:在中等距离的矢量相关器可以用来确定fm中的晶格间距,我们在这个方向上提出了一个具体的建议。最后,我们量化的有限尺寸效应的电流相关器来自低能量的2 π态,并提供了一个一般的参数化的真空极化环面。

英文摘要:

We discuss the calculation of the leading hadronic vacuum polarization in lattice QCD. Exploiting the excellent quality of the compiled experimental data for the e^+e^- --> hadrons cross-section, we predict the outcome of large-volume lattice calculations at the physical pion mass, and design computational strategies for the lattice to have an impact on important phenomenological quantities such as the leading hadronic contribution to (g-2)mu and the running of the electromagnetic coupling constant. First, the R(s) ratio can be calculated directly on the lattice in the threshold region, and we provide the formulae to do so with twisted boundary conditions. Second, the current correlator projected onto zero spatial momentum, in a Euclidean time interval where it can be calculated accurately, provides a potentially critical test of the experimental R(s) ratio in the region that is most relevant for (g-2)mu. This observation can also be turned around: the vector correlator at intermediate distances can be used to determine the lattice spacing in fm, and we make a concrete proposal in this direction. Finally, we quantify the finite-size effects on the current correlator coming from low-energy two-pion states and provide a general parametrization of the vacuum polarization on the torus.

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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