Plane wave backgrounds and colour-kinematics duality
Plane wave backgrounds and colour-kinematics duality
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DOI：
10.1007/jhep02(2019)198
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发表时间：
2018-10
影响因子：
5.4
通讯作者：
T. Adamo;Eduardo Casali;L. Mason;S. Nekovar
中科院分区：
文献类型：
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作者：
T. Adamo;Eduardo Casali;L. Mason;S. Nekovar
我们考虑了固定杨-米尔斯平面波背景下的微扰规范理论，详细描述了它的费曼规则。利用这些规则，计算了树级四点胶子振幅。作为一个应用程序，我们调查是否有一些概念的颜色运动学的双重性之间的关系的颜色和运动成分的振幅持有的平面波背景。虽然二元性被阻碍了，但这种阻碍具有一种有趣的、高度约束的结构。这种平面波版本的颜色运动学的对偶性减少了一个平坦的背景上的著名的身份支撑的BCJ关系的颜色有序的偏振幅，并限制表示的树级振幅超过4点。
We consider perturbative gauge theory on a fixed Yang-Mills plane wave background, describing its Feynman rules in detail. Using these rules, the tree-level 4-point gluon amplitude is computed. As an application, we investigate whether some notion of colour-kinematics duality—a relation between the colour and kinematic constituents of the amplitude—holds on the plane wave background. Although the duality is obstructed, the obstruction has an interesting and highly-constrained structure. This plane wave version of colour-kinematics duality reduces on a flat background to the well-known identities underpinning the BCJ relations for colour-ordered partial amplitudes, and constrains representations of tree-level amplitudes beyond 4-points.