The classical double copy in three spacetime dimensions

Mariana Carrillo González, Brandon Melcher, Kenneth Ratliff, Scott Watson, Chris D. White

Research output: Contribution to journalArticlepeer-review

62 Scopus citations


The double copy relates scattering amplitudes in gauge and gravity theories, and has also been extended to classical solutions. In this paper, we study solutions in three spacetime dimensions, where the double copy may be expected to be problematic due to the absence of propagating degrees of freedom for the graviton, and the lack of a Newtonian limit. In particular, we examine the double copy of a gauge theory point charge. This is a vacuum solution in gauge theory, but leads to a non-vacuum solution in gravity, which we show is consistent with previously derived constraints. Furthermore, we successfully interpret the non-trivial stress-energy tensor on the gravity side as arising from a dilaton profile, and the Newtonian description of a point charge emerges as expected in the appropriate limit. Thus, our results provide a non-trivial cross-check of the classical Kerr-Schild double copy.

Original languageEnglish (US)
Article number167
JournalJournal of High Energy Physics
Issue number7
StatePublished - Jul 1 2019


  • Black Holes
  • Gauge-gravity correspondence
  • Scattering Amplitudes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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