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arXiv 2409.09463hep-thhep-ph
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N=4超杨-米尔斯理论中扭度-2算符的非平面四圈反常维数:更高矩、通用结果与尖点反常维数

Nonplanar Four-Loop Anomalous Dimensions of Twist-Two Operators in N=4 Super Yang-Mills Theory: Higher Moment, General Result, and Cusp Anomalous Dimension

B. A. Kniehl, V. N. Velizhanin

AI总结:

该研究将N=4超杨-米尔斯理论中扭度-2算符非平面四圈反常维数的图论计算推进至j=20,验证了此前猜想的通用全j结果并移除其解析约束,还通过大j极限独立重新推导了非平面四圈尖点反常维数。

摘要:

我们研究了N=4超对称杨-米尔斯理论中扭度-2算符的非平面普适反常维数,将其直接图论计算推进至洛伦兹自旋j=20,比现有技术水平高一个单位,以此验证我们此前在文献[1]中猜想的、对其解析形式施加了若干约束的通用全j结果的正确性。借助我们的新结果,这些约束可被完全移除。同理,这让我们能够通过对通用结果取大j极限,以完全独立的方式重新推导非平面四圈尖点反常维数。

英文摘要:

We consider the nonplanar universal anomalous dimension of twist-two operators at four loops in N=4 supersymmetric Yang-Mills theory and push its direct diagrammatic calculation through Lorentz spin j=20, one unit beyond the state of the art, so as to confirm the correctness of the general, all-j result conjectured previously by us [1] imposing certain constraints on its analytic form. Thanks to our new result, such constraints can be eliminated altogether. By the same token, this allows us to re-derive, in a completely independent way, the nonplanar four-loop cusp anomalous dimension by taking the large-j limit of the general result.

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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