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arXiv · 2007.13803

BRST-Lagrangian Double Copy of Yang-Mills Theory

Leron Borsten·Branislav Jurco·Hyungrok Kim·Tommaso Macrelli·Christian Saemann·Martin Wolf
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Abstract

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.

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Leron Borsten, Branislav Jurco, Hyungrok Kim, Tommaso Macrelli, Christian Saemann, Martin Wolf. 2020-07-27. BRST-Lagrangian Double Copy of Yang-Mills Theory. https://doi.org/10.1103/physrevlett.126.191601

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