Becchi-Rouet-Stora-Tyutin-Lagrangian Double Copy of Yang-Mills Theory

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

Research output: Contribution to journalArticlepeer-review

41 Citations (Scopus)
48 Downloads (Pure)


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.
Original languageEnglish
Article number191601
JournalPhysical Review Letters
Issue number19
Early online date12 May 2021
Publication statusPublished - 14 May 2021


  • hep-th

ASJC Scopus subject areas

  • General Physics and Astronomy


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