标题： 全息理论中的通量管轮廓：有限尺寸和强耦合修正 显示英文标题

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

摘要： 我们使用全息对应关系作为工具，推断出在$2+1$维强耦合大$N$QCD类似理论中，静止夸克-反夸克对之间的经典通量管轮廓。 我们的最终预测在几个方面扩展了文献中已知的结果。 首先，它是空间类边界坐标的一个解析函数；换句话说，我们跟踪沿着和垂直于夸克间轴发生的情况。 然后，我们考虑了夸克间距离的有限性以及强耦合展开中的第一修正项。 在同一阶次下，我们还确认了光谱中最小胶球质量与通量管轮廓固有宽度之间的关系。 最后，我们尝试获得关于量子涨落的一些见解。 有趣的是，我们的提议与文献中的普遍期望一致。 顺便提及，我们还推导出一个半解析公式，该公式给出了强耦合展开中标量胶球质量的第一修正项。 显示英文摘要

摘要： We use the holographic correspondence as a tool to infer the classical flux tube profile connecting a static quark-antiquark pair in a $2+1$-dimensional strongly-coupled large $N$ QCD-like theory. Our final prediction extends already known results 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.