Within the confining color flux tube picture, we assess the color electric field generated by quark-antiquark pairs within the framework of the Schwinger model and estimate its impact on the chiral condensate. We observe differences in the distribution of the color flux tube generated by quark-antiquark pairs at different separation distances, leading to discrepancies in the partial restoration of chiral symmetry. Furthermore, we suggest incorporating the color magnetic field in the calculation of chiral condensate, leading to quantum entanglement effects, and proceed to compute the entanglement entropy. We observe that the entanglement entropy increases with the distance of the color source (the separation distance between quark and anti-quark), and the magnitude of the color electric field and chiral condensate restoration after spatial integration also increases with the distance of the color source. Then, we try to provide a qualitative explanation for the existence of these phenomena.

中文翻译：

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用1+1弦模型探索手性对称部分恢复中的量子纠缠

在受限色通量管图中，我们评估了施温格模型框架内夸克-反夸克对产生的色电场，并估计了其对手性凝聚态的影响。我们观察到夸克-反夸克对在不同距离处产生的色通量管分布存在差异，导致手性对称性的部分恢复存在差异。此外，我们建议将颜色磁场纳入手性凝聚体的计算中，从而产生量子纠缠效应，并继续计算纠缠熵。我们观察到纠缠熵随着色源距离（夸克与反夸克之间的分离距离）的增加而增大，空间积分后的色电场和手性凝聚态恢复的大小也随着色源距离的增大而增大。然后，我们尝试为这些现象的存在提供定性解释。