论文标题
颜色二重性，双复制和同型代数
Colour-kinematics duality, double copy, and homotopy algebras
论文作者
论文摘要
颜色二元性二元性是阳米尔斯理论的非凡特性。它的有效性意味着仪表理论与重力散射幅度（称为双拷贝）之间的关系。尽管在树一级完全建立，但其扩展到循环水平是猜想的。将基于振幅的壳体散射的描述提升到动作功能的水平，我们认为，可以以使其循环积分表现出一种广义形式的颜色 - 基因化学双重性二元性的理论。此外，我们展示了较高同质理论的结构如何自然地描述了颜色基因二元性的这种非壳重新印象。
Colour-kinematics duality is a remarkable property of Yang-Mills theory. Its validity implies a relation between gauge theory and gravity scattering amplitudes, known as double copy. Albeit fully established at the tree level, its extension to the loop level is conjectural. Lifting the on-shell, scattering amplitudes-based description to the level of action functionals, we argue that a theory that exhibits tree-level colour-kinematics duality can be reformulated in a way such that its loop integrands manifest a generalised form of colour-kinematics duality. Moreover, we show how the structures of higher homotopy theory naturally describe this off-shell reformulation of colour-kinematics duality.
