BRSTLagrangian Double Copy of YangMills Theory
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 colorkinematic duality is a condition for the BecchiRouetStoraTyutin 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 YangMills theory, where colorkinematic 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.
 Publication:

arXiv eprints
 Pub Date:
 July 2020
 arXiv:
 arXiv:2007.13803
 Bibcode:
 2020arXiv200713803B
 Keywords:

 High Energy Physics  Theory
 EPrint:
 v2: 7 pages, improved presentation, published version