A bstractRecently, a BCJ dual of the color-ordered formula for Yang-Mills amplitude was proposed, where the dual-trace factor satisfies cyclic symmetry and KK-relation. In this paper, we present a systematic construction of the dual-trace factor based on its proposed relations to kinematic numerators in dual-DDM form. We show that the construction presented respects relabeling symmetry. In addition, we show that using relabeling symmetry as conditions, the same construction can be solved independently.

中文翻译：

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Yang-Mills理论中双迹因子的构建

摘要最近，提出了杨-米尔斯振幅的颜色排序公式的BCJ对偶，其中对偶迹因子满足循环对称性和KK关系。在本文中，我们基于双迹因子与双 DDM 形式的运动学分子的建议关系，提出了双迹因子的系统构建。我们表明，所呈现的构造尊重重新标记对称性。此外，我们表明使用重新标记对称性作为条件，可以独立解决相同的构造。