标题： 由于静止夸克的存在引起的纠缠熵 显示英文标题

标题： Entanglement Entropy due to the Presence of Static Quarks

摘要： 我们研究了在静态夸克-反夸克 $Q\bar Q$ 对存在的情况下胶子场的纠缠性。利用复制方法，我们探讨了封闭QCD弦内部及其附近夸克和反夸克之间胶子场纠缠的 $q=2$ 雷尼熵。我们发现，胶子纠缠的熵比真空涨落的熵多。这种多余的纠缠熵与胶子通量管有关，并且我们发现在连续极限下它具有有限的非零值。我们还研究了胶子纠缠随通量管纵向和横向划分几何形状变化的情况。我们的初步结果显示，纠缠熵与与通量管重叠的边界面积呈比例关系。 显示英文摘要

摘要： We study the entanglement of gluon fields in presence of a static $Q\bar Q$ pair in quenched QCD. Using the replica method, we investigate the $q=2$ Renyi entropy of the entanglement of gluon fields inside and in the vicinity of the confining QCD string between the quark and the antiquark. We find that there is excess entropy of gluon entanglement compared to vacuum fluctuations. This excess of entanglement entropy is associated with the gluon flux tube, and we find that it has a finite non-zero value in the continuum. We investigate the dependence of gluon entanglement on the geometry of longitudinal and transverse partitioning of the flux tube. Our preliminary results suggest scaling of the entanglement entropy with the area of the boundary overlapping with the flux tube.