Abstract
We find that point particles interacting with a self-dual Yang-Mills field and self-dual gravity manifestly satisfy color-kinematics duality at the level of action. In a similar way color-kinematics duality also holds for a scalar field minimally coupled to a self-dual Yang-Mills field and self-dual gravity. By applying the appropriate limiting procedure to these scalar field theories we reproduce point particle theories we started from. This allows us to connect worldline color-kinematics duality to amplitude color-kinematics duality in field theory. Considering that point particles act as sources of classical solutions, our results may be regarded as a step towards establishing a precise relation between the amplitude and the classical double copies in the self-dual sector. Finally, we briefly mention that the extension of this discussion to the higher-spin case suggests that scalar point particles cannot interact with chiral higher-spin fields.
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Acknowledgments
We would like to thank A. Ochirov, P. Pichini and E. Skvortsov for interesting discussions and for pointing out some relevant references. We would also like to thank A. Ochirov and E. Skvortsov for comments on the manuscript.
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Ivanovskiy, V., Ponomarev, D. Manifest color-kinematics duality for point particles interacting with self-dual fields. J. High Energ. Phys. 2024, 87 (2024). https://doi.org/10.1007/JHEP06(2024)087
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DOI: https://doi.org/10.1007/JHEP06(2024)087