On planar gluon amplitudes/Wilson loops duality
On planar gluon amplitudes/Wilson loops duality
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平面胶子振幅/威尔逊环对偶性
DOI：
10.1016/j.nuclphysb.2007.11.007
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发表时间：
2007
期刊：
影响因子：
--
通讯作者：
E. Sokatchev
中科院分区：
文献类型：
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作者：
J. Drummond;J. Henn;G. Korchemsky;E. Sokatchev
越来越多的证据表明，在平面N=4 SYM理论中，壳层上胶子散射振幅等价于在由外部胶子动量定义的直的类光段组成的轮廓上评估的威尔逊环。这种等价性首先是在强耦合下使用AdS/CFT对应提出的，此后在微扰理论中弱耦合到一个回路时得到了验证。在这里，我们执行一个明确的双圈计算的威尔逊圈对偶的四胶子散射振幅，并证明关系持有超过一个循环。我们还提出了一个反常的共形Ward恒等式，它唯一地固定了Wilson环的有限部分（直到一个附加常数）的形式，与多胶子MHV振幅的BDS猜想完全一致。
There is growing evidence that on-shell gluon scattering amplitudes in planar N=4 SYM theory are equivalent to Wilson loops evaluated over contours consisting of straight, light-like segments defined by the momenta of the external gluons. This equivalence was first suggested at strong coupling using the AdS/CFT correspondence and has since been verified at weak coupling to one loop in perturbation theory. Here we perform an explicit two-loop calculation of the Wilson loop dual to the four-gluon scattering amplitude and demonstrate that the relation holds beyond one loop. We also propose an anomalous conformal Ward identity which uniquely fixes the form of the finite part (up to an additive constant) of the Wilson loop dual to four- and five-gluon amplitudes, in complete agreement with the BDS conjecture for the multi-gluon MHV amplitudes.