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BRST-Lagrangian Double Copy of Yang-Mills Theory

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arxiv 2007.13803 v2 pith:ALFRVVLT submitted 2020-07-27 hep-th

Leron Borsten , Branislav Jurco , Hyungrok Kim , Tommaso Macrelli , Christian Saemann , Martin Wolf This is my paper · ORCID
classification hep-th
keywords theorydoublecopylevelactionamplitudescolor-kinematicduality
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Off-shell double copy theories in BV

    hep-th 2025-06 conditional novelty 6.0 of 10

    A BV-formalism construction gives off-shell double-copy actions for Chern-Simons, BF, and 2D Yang-Mills theories, with Kodaira-Spencer and Kähler gravity as natural examples.

  2. Time-dependent solutions of biadjoint scalar field theories

    hep-th 2025-02 accept novelty 6.0 of 10

    New plane-wave-type exact solutions of generalized biadjoint scalar field theory are constructed, including bounded profiles, using elliptic, tanh, and rational functions.

  3. HEFT Numerators from Kinematic Algebra

    hep-th 2025-01 conditional novelty 6.0 of 10

    The heavy-mass effective field theory kinematic numerators are derived as the field theory limit of nested commutators of string vertex operators, reproducing and extending earlier fusion-rule results.

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