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arXiv 1801.10367hep-thhep-ph
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关于尖峰威尔逊圈的一种新的发散和相关的纠缠熵

On a new type of divergence for spiky Wilson loops and related entanglement entropies

Harald Dorn

摘要:

研究了具有零开角尖点且曲率不连续的轮廓线的威尔逊圈的发散性。分析是在最低阶,无论是弱耦合和强耦合。这样的尖峰贡献了与截止时间的平方根的倒数乘以曲率的跳跃成比例的领先发散项。在超对称情形下,作为下一个首项的是对数项,而在QCD中则没有。通过全息术从AdS中的极小曲面得到的强耦合结果也可用于(2+1)维CFT中的纠缠熵的应用。

英文摘要:

We study the divergences of Wilson loops for a contour with a cusp of zero opening angle, combined with a nonzero discontinuity of its curvature. The analysis is performed in lowest order, both for weak and strong coupling. Such a spike contributes a leading divergent term proportional to the inverse of the square root of the cutoff times the jump of the curvature. As nextleading term appears a logarithmic one in the supersymmetric case, but it is absent in QCD. The strong coupling result, obtained from minimal surfaces in AdS via holography, can be used also for applications to entanglement entropy in (2+1)-dimensional CFT's.

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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