用薛定谔泛函方法精确确定Nf=2+1格点量子色动力学中的强耦合常数
Precise determination of the strong coupling constant in Nf=2+1 lattice QCD with the Schrödinger functional scheme
摘要：
本文给出了Nf=2+1 QCD的运行耦合常数的计算。Schroedinger泛函方案被用作中间方案，从引入物理标度的低能区到高能微扰区的深处进行非微扰运行，在高能微扰区中安全地执行到MS-棒方案的转换。由于使用微扰理论而可能产生的系统误差仅发生在从三味到四味的转换中，在粲质量阈值附近运行耦合常数，其中在$β$函数中超过5阶的高阶项可能不可忽略。对于数值模拟，我们采用岩崎规范作用和非微扰改进的威尔逊费米子作用与三叶草项。七个重整化标度用于覆盖从低到高的能量区域，三个晶格间距用于在每个标度下取连续极限。在CP-PACS/JL-QCD合作组Nf=2+1模拟的基础上引入了一个物理标度，该标度覆盖了大于$m_π\sim 500$ MeV的上下夸克质量范围.
英文摘要：
We present an evaluation of the running coupling constant for Nf=2+1 QCD. The Schroedinger functional scheme is used as the intermediate scheme to carry out non-perturbative running from the low energy region, where physical scale is introduced, to deep in the high energy perturbative region, where conversion to the MS-bar scheme is safely performed. Possible systematic errors due to the use of perturbation theory occur only in the conversion from three-flavor to four-flavor running coupling constant near the charm mass threshold, where higher order terms beyond 5th order in the $β$ function may not be negligible. For numerical simulations we adopted Iwasaki gauge action and non-perturbatively improved Wilson fermion action with the clover term. Seven renormalization scales are used to cover from low to high energy region and three lattice spacings to take the continuum limit at each scale. A physical scale is introduced from the previous Nf=2+1 simulation of the CP-PACS/JL-QCD collaboration, which covered the up-down quark mass range heavier than $m_π\sim 500$ MeV.
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