Borsten Leron, Jurčo Branislav, Kim Hyungrok, Macrelli Tommaso, Saemann Christian, Wolf Martin
Maxwell Institute for Mathematical Sciences and Department of Mathematics, Heriot-Watt University, Edinburgh EH14 4AS, United Kingdom.
Charles University Prague Faculty of Mathematics and Physics, Mathematical Institute, Prague 186 75, Czech Republic.
Phys Rev Lett. 2021 May 14;126(19):191601. doi: 10.1103/PhysRevLett.126.191601.
We show that the double copy of gauge theory amplitudes to N=0 supergravity amplitudes extends from tree level to loop level. We first explain that color-kinematics 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-kinematics duality is known to be satisfied on shell at the 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 N=0 supergravity.
我们证明了规范理论振幅到(N = 0)超引力振幅的双拷贝从树图水平扩展到圈图水平。我们首先解释色-运动学对偶性是贝奇-鲁埃-斯托拉-秋京算子以及具有三次相互作用项的场论作用量双拷贝到一个一致规范理论的条件。然后我们将此论证应用于杨-米尔斯理论，在树图水平上已知色-运动学对偶性在壳上成立。最后，我们表明后一个限制只会导致可以在一系列场重定义中被吸收的项，从而使双拷贝作用量等同于(N = 0)超引力。
