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arXiv 1912.08232hep-phhep-exhep-latnucl-exnucl-th
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格点量子色动力学的有效电荷

Effective charge from lattice QCD

Zhu-Fang Cui, Jin-Li Zhang, Daniele Binosi, Feliciano De Soto, Cédric Mezrag, Joannis Papavassiliou, Craig D. Roberts, Jose Rodríguez-Quintero, Jorge Segovia, Savvas Zafeiropoulos

备注：
10 pages, 4 figures
发表信息：
Chin. Phys. C 44, 083102 (2020)
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摘要：

利用量子色动力学（QCD）的晶格组态，我们得到了QCD的重整化群不变过程无关有效荷$\hatα(k^2)$的无参数预言.由于尺度不变性的动力学破坏，胶子质量尺度的出现是明显的，这种耦合在红外动量$\hatα(0)/π=0.97(4)$处饱和。除其他事项外：$\hatα(k^2)$与通过Bjorken求和规则定义的过程相关（PD）有效电荷几乎相同，并且PD电荷在单圈演化方程中使用，在强子尺度下计算的π部分子分布函数与实验之间提供了一致性。$\hatα(k^2)$所扮演的统一角色的多样性表明，它是一个强有力的候选对象，代表在任何给定的动量尺度上QCD中的相互作用强度;它的性质支持这样一个结论，即QCD是一个数学上定义良好的四维量子场论。

英文摘要：

Using lattice configurations for quantum chromodynamics (QCD) generated with three domain-wall fermions at a physical pion mass, we obtain a parameter-free prediction of QCD's renormalisation-group-invariant process-independent effective charge, $\hatα(k^2)$. Owing to the dynamical breaking of scale invariance, evident in the emergence of a gluon mass-scale, this coupling saturates at infrared momenta: $\hatα(0)/π=0.97(4)$. Amongst other things: $\hatα(k^2)$ is almost identical to the process-dependent (PD) effective charge defined via the Bjorken sum rule; and also that PD charge which, employed in the one-loop evolution equations, delivers agreement between pion parton distribution functions computed at the hadronic scale and experiment. The diversity of unifying roles played by $\hatα(k^2)$ suggests that it is a strong candidate for that object which represents the interaction strength in QCD at any given momentum scale; and its properties support a conclusion that QCD is a mathematically well-defined quantum field theory in four dimensions.

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