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Confinement and String Breaking for QED 2 in the Hamiltonian Picture

机译:哈密​​顿量图中QED 2的约束和字符串破坏

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The formalism of matrix product states is used to perform a numerical study of ( 1 + 1 )-dimensional QED—also known as the (massive) Schwinger model—in the presence of an external static “quark” and “antiquark”. We obtain a detailed picture of the transition from the confining state at short interquark distances to the broken-string “hadronized” state at large distances, and this for a wide range of couplings, recovering the predicted behavior both in the weak- and strong-coupling limit of the continuum theory. In addition to the relevant local observables like charge and electric field, we compute the (bipartite) entanglement entropy and show that subtraction of its vacuum value results in a UV-finite quantity. We find that both string formation and string breaking leave a clear imprint on the resulting entropy profile. Finally, we also study the case of fractional probe charges, simulating for the first time the phenomenon of partial string breaking.
机译:在存在外部静态“夸克”和“反夸克”的情况下,使用矩阵乘积状态的形式主义对(1 +1)维QED(也称为(大规模)施温格模型)进行数值研究。我们获得了从夸克距离短的约束状态到远距离的断裂弦“强子化”状态的过渡的详细图片,这适用于广泛的耦合,恢复了弱和强耦合的预测行为。连续体理论的耦合极限除了诸如电荷和电场之类的相关局部可观察物之外,我们还计算了(二分)纠缠熵,并表明减去其真空值会导致UV有限量。我们发现,弦的形成和弦的断裂都在产生的熵轮廓上留下了清晰的烙印。最后,我们还研究了分数探针电荷的情况,这是第一次模拟了部分弦断裂的现象。

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