Hexagon Wilson loop = six-gluon MHV amplitude

Hexagon Wilson loop = six-gluon MHV amplitude
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六边形威尔逊环 = 六胶子 MHV 振幅

DOI:
10.1016/j.nuclphysb.2009.02.015
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发表时间:
2008
期刊:
Nuclear Physics
影响因子:
--
通讯作者:
E. Sokatchev
E. Sokatchev
中科院分区:
--
文献类型:
--
作者:
J. Drummond;J. Henn;G. Korchemsky;E. Sokatchev

文献摘要

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我们将类光六边形Wilson环有限部分的双环修正与伯尔尼、狄克逊、Kosower、Roiban、Spradlin、Vergu和Volovich(arXiv:0803.1465 [hep-th])最近对N=4 SYM理论中MHV六胶子振幅有限部分的数值结果进行了比较,并证明它们在误差条内是一致的,同时它们与BDS的修正有一个非平凡的(对偶)共形运动学不变量函数的区别。这提供了强有力的证据,威尔逊回路/散射振幅对偶持有平面N=4 SYM理论的所有循环的任意数量的外部粒子。
We compare the two-loop corrections to the finite part of the light-like hexagon Wilson loop with the recent numerical results for the finite part of the MHV six-gluon amplitude in N=4 SYM theory by Bern, Dixon, Kosower, Roiban, Spradlin, Vergu and Volovich (arXiv:0803.1465 [hep-th]) and demonstrate that they coincide within the error bars and, at the same time, they differ from the BDS ansatz by a non-trivial function of (dual) conformal kinematical invariants. This provides strong evidence that the Wilson loop/scattering amplitude duality holds in planar N=4 SYM theory to all loops for an arbitrary number of external particles.