@article{aeb2cf28863647f581ece4654518d080,

title = "Becchi-Rouet-Stora-Tyutin-Lagrangian Double Copy of Yang-Mills Theory",

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.",

author = "Leron Borsten and Branislav Jur{\v c}o and Hyungrok Kim and Tommaso MacRelli and Christian Saemann and Martin Wolf",

note = "Funding Information: We gratefully acknowledge stimulating conversations with Johannes Br{\"o}del, Michael Duff, Henrik Johansson, Silvia Nagy, Jim Stasheff, and Alessandro Torrielli. L. B., H. K., and C. S. were supported by the Leverhulme Research Project Grant No. RPG-2018-329 “The Mathematics of M5-Branes.” B. J. was supported by the GA{\v C}R Grant No. EXPRO 19-28268X and thanks MPIM Bonn for hospitality. T. M. was partially supported by the EPSRC Grant No. EP/N509772. Publisher Copyright: {\textcopyright} 2021 authors. Funded by SCOAP3.",

year = "2021",

month = may,

day = "12",

doi = "10.1103/PhysRevLett.126.191601",

language = "English",

volume = "126",

journal = "Physical Review Letters",

issn = "0031-9007",

publisher = "American Physical Society (APS)",

number = "19",

}