Abstract
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 language | English |
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Article number | 191601 |
Journal | Physical Review Letters |
Volume | 126 |
Issue number | 19 |
Early online date | 12 May 2021 |
DOIs | |
Publication status | Published - 14 May 2021 |
Keywords
- hep-th
ASJC Scopus subject areas
- General Physics and Astronomy