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来自颜色范德瓦尔斯势的胶球相互作用

Glueball interactions from the colour Van der Waals potential

Juan Cánovas Cúneo, Felipe J. Llanes-Estrada

arXiv 2609.10841首次发表:更新:

发表机构

Departamento de Física Teórica & IPARCOS, Facultad de CC. Físicas(理论物理系与IPARCOS,物理科学学院)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文在组成胶子方法下研究纯杨-米尔斯理论中胶球间颜色范德瓦尔斯势,发现其在线性势与库仑势部分近似抵消,相互作用弱于纯库仑London力,并建议发展超越膨胀子的有效场论。

AI 中文摘要

我们在组成胶子方法中研究了纯杨-米尔斯理论中的胶球-胶球相互作用。由于大的质量间隙,范德瓦尔斯相互作用相对而言比在轻夸克QCD强子中更为显著,因为在轻夸克QCD强子中,π介子导致了强的汤川交换。我们发现,按照量子London-Eisenschitz-Wang力的传统路线计算的颜色范德瓦尔斯势,在约0.66费米(当胶球接触时)到1.9费米(当中间态中颜色极化胶球之间的虚弦张力破坏时)的距离范围内是一种相关的相互作用。在采用Cornell势作为颜色电荷之间的微观势时,我们发现,对于基态胶球,由线性势部分导出的范德瓦尔斯相互作用与库仑部分导出的相互作用密切抵消。这意味着,虽然该相互作用可观且能够根据参数饱和格点数据,但它远弱于仅由库仑部分导出的London力。(这表明,人们应该将胶球的有效理论推进到超越膨胀子类型的方法,或许可以采用范德瓦尔斯有效场论的某种变体。)

英文摘要

We examine pure Yang-Mills theory glueball-glueball interactions in constituent-gluon approaches. Because of the large mass gap, Van der Waals interactions are relatively more significant than in light-quark QCD hadrons where the pion gives rise to strong Yukawa exchanges. We find that the colour Van der Waals potential, computed along the traditional lines of the quantum London-Eisenschitz-Wang force, is a relevant interaction at distances between about 0.66 fm (when the glueballs are in contact) to 1.9 fm (when the virtual string tension among the colour-polarized glueballs in the intermediate state breaks down). In employing a Cornell potential as the microscopic one among colour charges, we find that the Van der Waals interaction derived from the linear potential part closely cancels that of the Coulomb one for the ground state glueballs. This means that the interaction, while sizeable and capable of saturating the lattice data depending on parameters, is far weaker than the London force derived from the Coulombic part alone. (This suggests that one should move effective theories for glueballs beyond dilaton-type approaches and perhaps deploy some variant of Van der Waals Effective Field Theory.)

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