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arXiv 2404.03047hep-phhep-thnucl-th
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中等分辨率下强子中的胶子与QCD瞬子真空

Glue in hadrons at medium resolution and the QCD instanton vacuum

Wei-Yang Liu, Edward Shuryak, Ismail Zahed

AI总结:

该研究在QCD瞬子真空框架下,于NLO计算轻强子的多类胶子形状因子,并分析胶子对核子质量与自旋求和规则的贡献,结果与高分辨率格点数据吻合。

摘要:

我们讨论了在QCD瞬子真空中、低动量转移下评估轻强子胶子形状因子的一般框架。在与平均瞬子尺寸倒数同量级的中等分辨率下,胶子主要局域于单个或成对的赝粒子中,并在整体上受其拓扑荷涨落约束。这些赝粒子俘获轻夸克,产生涌现的多味’t Hooft相互作用。我们在瞬子密度的次领头阶(NLO)显式评估了胶子标量、赝标量、能量-动量张量(EMT),以及领头的C奇和C偶三胶子强子形状因子,其中包括同类和异类瞬子的分子团簇。我们利用EMT的结果,探讨低分辨率下胶子对Ji质量和自旋求和规则的贡献。经过演化后,我们关于核子质量与自旋组成的结果,与近期报道的更高分辨率格点结果表现出良好一致。

英文摘要:

We discuss a general framework for the evaluation of the gluonic form factors in light hadrons at low momentum transfer, in the QCD instanton vacuum. At medium resolution of the order of the inverse mean instanton size, the glue is mostly localized in single or pair of pseudoparticles, and globally constrained by the fluctuations of their topological charges. These pseudoparticles trap light quarks, giving rise to emerging multiflavor 't Hooft interactions. We explicitly evaluate the gluonic scalar, pseudoscalar, energy-momentum tensor (EMT), and the leading C-odd and C-even three gluons hadronic form factors, at next to leading order (NLO) in the instanton density, including molecular clusters of like and unlike instantons. We use the results for the EMT to address the contribution of the gluons in Ji$^\prime$s mass and spin sum rules, at low resolution. When evolved, our results for the mass and spin composition of the nucleon, are shown to be in good agreement with the recently reported lattice results at higher resolution.

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