The hexagon Wilson loop and the BDS ansatz for the six-gluon amplitude
The hexagon Wilson loop and the BDS ansatz for the six-gluon amplitude
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六边形 Wilson 环和六胶子振幅的 BDS ansatz
DOI：
10.1016/j.physletb.2008.03.032
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发表时间：
2007
影响因子：
4.4
通讯作者：
E. Sokatchev
中科院分区：
文献类型：
--
作者：
J. Drummond;J. Henn;G. Korchemsky;E. Sokatchev
作为胶子散射幅度/威尔逊环对偶性的检验，我们评估了 N=4 超杨-米尔斯理论中两个环处的六边形类光威尔逊环。我们将其有限部分与六胶子振幅有限部分的 Bern-Dixon-Smirnov (BDS) 猜想进行比较。我们发现这两个表达式在共线极限中具有相同的行为，但它们的不同之处在于三个（对偶）共形不变变量的非平凡函数。这意味着对于从两个环开始的六胶子振幅，BDS 猜想或胶子振幅/威尔逊环对偶性都失败。我们的结果与 Alday 和 Maldacena 对无限多个外部胶子的散射振幅的分析定性一致。
As a test of the gluon scattering amplitude/Wilson loop duality, we evaluate the hexagonal light-like Wilson loop at two loops in N=4 super-Yang–Mills theory. We compare its finite part to the Bern–Dixon–Smirnov (BDS) conjecture for the finite part of the six-gluon amplitude. We find that the two expressions have the same behavior in the collinear limit, but they differ by a non-trivial function of the three (dual) conformally invariant variables. This implies that either the BDS conjecture or the gluon amplitude/Wilson loop duality fails for the six-gluon amplitude, starting from two loops. Our results are in qualitative agreement with the analysis of Alday and Maldacena of scattering amplitudes with infinitely many external gluons.