Becchi-Rouet-Stora-Tyutin-Lagrangian Double Copy of Yang-Mills Theory.
Becchi-Rouet-Stora-Tyutin-Lagrangian Double Copy of Yang-Mills Theory.
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DOI：
10.1103/physrevlett.126.191601
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发表时间：
2020-07
影响因子：
8.6
通讯作者：
L. Borsten;B. Jurčo;Hyungrok Kim;Tommaso Macrelli;Christian Saemann;Martin Wolf
中科院分区：
文献类型：
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作者：
L. Borsten;B. Jurčo;Hyungrok Kim;Tommaso Macrelli;Christian Saemann;Martin Wolf
我们证明了规范理论振幅到N=0超引力振幅的双重拷贝从树水平延伸到回路水平。我们首先解释了色运动学对偶性是Becchi-Rouet-Stora-Tyutin算符和具有立方相互作用项的场论双重复制到一致规范理论的条件。然后，我们将这一论点应用于杨-米尔斯理论，其中已知在树级别的壳上满足颜色-运动学对偶性。最后，我们证明了后一种限制只能导致可以在一系列场重新定义中吸收的项，使得双重复制的作用等价于N=0超引力。
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.