发表机构
Thomas Jefferson National Accelerator Facility（托马斯·杰斐逊国家加速器设施）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究利用与重整化群演化等一致的解析形式的有效电荷α₉₁，通过其相关关系及与部分子传播子等的联系，直观解释禁闭是长距离下QCD格林函数的抑制。
AI 中文摘要
像QED的盖尔曼-洛耦合α一样，有效电荷α₉₁是可作为QCD耦合αₛ的物理、可观测量定义的跑动耦合。它具有反映底层部分子动力学的解析结构，在长距离有奇点，通过与部分子传播子等的关系直观解释了禁闭。
英文摘要
Like the Gell-Mann--Low coupling $α$ of QED, the effective charge $α_{g_1}$ is a physical, observable-defined running coupling that can serve as the QCD coupling $α_s$. It can be represented by an analytic form consistent with renormalization-group evolution, holographic light-front QCD (HLFQCD), and the world data on $α_s$. As an observable, $α_{g_1}$ has a physically relevant analytic structure that reflects the underlying partonic dynamics. It displays, in the long-distance regime, two imaginary conjugate singularities at $Q^2 = \pm iΛ_s^2$, with $Λ_s$ the QCD scale. To connect this structure to confinement, we combine known general relations between $α_{g_1}$ and the parton dressed propagators and vertices with a recent phenomenological representation of $α_{g_1}$ within HLFQCD. Since, unlike vertices, propagators characterize a field variation between separate locations, the two singularities are assigned to the propagators. This results in the parton propagators displaying a long-distance behavior $e^{-Λ_s |x|/\sqrt{2}} |x|^{-5/2 + d_a}$ where propagation is suppressed beyond distances of order $1/Λ_s$, as expected from confinement. This offers an intuitive interpretation of confinement as the suppression of QCD Green's functions at long distance.
Comments8 pages, 2 figures, Supplementary material (4 pages). Published version in Phys. Let. B
DOI：10.1016/j.physletb.2026.140972
