论文标题
阳米尔斯理论的brst-lagrangian双副本
BRST-Lagrangian Double Copy of Yang-Mills Theory
论文作者
论文摘要
我们表明,仪表理论的双复制幅度幅度为$ \ MATHCAL {N} = 0 $超级振幅从树级别到循环级别延伸。我们首先解释说,颜色二元性是Becchi-Rouet-stora-tyutin oberator的条件,以及具有立方相互作用术语的野外理论的作用,可以将副本副本重复到一致的量规理论。然后,我们将此参数应用于杨米尔斯理论,其中众所周知,在树层面上可以满足颜色的双重性。最后,我们表明后一个限制只能导致可以以一系列字段重新定义吸收的术语,从而使双复制的动作等同于$ \ Mathcal {n} = 0 $ supergravity。
We show that the double copy of gauge theory amplitudes to $\mathcal{N}=0$ supergravity amplitudes extends from tree level to loop level. We first explain that color-kinematic duality is a condition for the Becchi-Rouet-Stora-Tyutin operator and the action of a field theory with cubic interaction terms to double copy to a consistent gauge theory. We then apply this argument to Yang-Mills theory, where color-kinematic duality is known to be satisfied onshell at tree level. Finally, we show that the latter restriction can only lead to terms that can be absorbed in a sequence of field redefinitions, rendering the double copied action equivalent to $\mathcal{N}=0$ supergravity.