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arXiv 1409.5488hep-phhep-lathep-th
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将强子质量标度与量子色动力学的基本质量标度联系起来

Connecting the Hadron Mass Scale to the Fundamental Mass Scale of Quantum Chromodynamics

Alexandre Deur, Stanley J. Brodsky, Guy F. de Teramond

备注：
11 pages, 4 figures. Final version published in Phys. Lett. B
发表信息：
Phys. Lett. B 750, 528 (2015)
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摘要：

在长距离禁闭物理学和短距离夸克胶子的动力学相互作用之间建立明确的联系一直是量子色动力学长期追求的目标。利用全息QCD，我们导出了决定强子质量的尺度$κ$和控制微扰QCD在很短距离上的预言的尺度$Λ_{s}$之间的直接解析关系。在$\overline{MS}$方案中得到的预测$Λ_{s}=0.341\pm0.032$ GeV与实验平均值$0.339\pm0.016$ GeV吻合得很好。我们还导出了$Λ_{s}$与QCD弦张力$σ$之间的关系。夸克禁闭物理学的基本强子尺度和控制硬碰撞的微扰QCD尺度之间的这种联系可以在任何重整化方案中进行。

英文摘要：

Establishing an explicit connection between the long distance physics of confinement and the dynamical interactions of quarks and gluons at short distances has been a long-sought goal of quantum chromodynamics. Using holographic QCD, we derive a direct analytic relation between the scale $κ$ which determines the masses of hadrons and the scale $Λ_{s}$ which controls the predictions of perturbative QCD at very short distances. The resulting prediction $Λ_{s}=0.341\pm0.032$ GeV in the $\overline{MS}$ scheme agrees well with the experimental average $0.339\pm0.016$ GeV. We also derive a relation between $Λ_{s}$ and the QCD string tension $σ$. This connection between the fundamental hadronic scale underlying the physics of quark confinement and the perturbative QCD scale controlling hard collisions can be carried out in any renormalization scheme.

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