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arXiv 2510.02442hep-thhep-lat
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来自全息的通量管剖面:有限尺寸与强耦合修正

Flux tube profile from Holography: finite size and strong coupling corrections

Istituto Nazionale di Fisica Nucleare, Sezione di Torino(意大利国家核物理研究所,都灵分部)

Tommaso Canneti

AI总结:

本文利用全息对应研究2+1维强耦合大N QCD类理论中静态夸克-反夸克对的经典通量管剖面,给出了关于两个类空边界坐标的解析函数,考虑了有限间距和强耦合展开的第一阶修正,证实了最轻胶球质量与通量管内禀宽度的关系,并探讨了量子涨落。

摘要:

我们使用全息对应作为工具,研究在 2+1 维强耦合大 N QCD 类理论中连接静态夸克-反夸克对的经典通量管剖面。最终结果在多个方面扩展了文献中已有的发现。首先,它是关于两个类空边界坐标的解析函数;换句话说,我们同时追踪了沿夸克间轴线和横向发生的情况。然后,我们考虑了夸克间距的有限性以及强耦合展开中的第一阶修正。在同一阶精度下,我们还证实了谱中最轻胶球质量与通量管剖面内禀宽度之间的关系。最后,我们尝试获得一些关于量子涨落的见解。有趣的是,我们的提议与文献中普遍的预期一致。顺带地,我们还推导出了一个半解析公式,给出了标量胶球质量在强耦合展开中的第一阶修正。

英文摘要:

We use the holographic correspondence as a tool to study the classical flux tube profile connecting a static quark-antiquark pair in a $2+1$-dimensional strongly-coupled large $N$ QCD-like theory. The final result extends already known findings in the literature in several ways. First, it is an analytical function of both the space-like boundary coordinates; in other words, we keep track of what happens both along and transversely to the inter-quark axis. Then, we take into account the finiteness of the inter-quark distance and the first correction in the strong coupling expansion. To the same order, we also confirm the relation between the mass of the lightest glueball in the spectrum and the intrinsic width of the flux tube profile. We conclude by trying to gain some insights about the quantum fluctuations. Intriguingly, our proposal is in agreement with widespread expectations in the literature. En passant, we also derive a semi-analytical formula that gives the first correction to the scalar glueball masses in the strong coupling expansion.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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