The classical double copy in three spacetime dimensions

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

doi:10.1007/jhep07(2019)167

Title: The classical double copy in three spacetime dimensions

Journal Article · Mon Jul 29 00:00:00 EDT 2019 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep07(2019)167· OSTI ID:1612916

^[1]; Melcher, Brandon ^[2]; Ratliff, Kenneth ^[2]; Watson, Scott ^[2]; White, Chris D. ^[3]

Univ. of Pennsylvania, Philadelphia, PA (United States)
Syracuse Univ., NY (United States)
Queen Mary Univ. of London (United Kingdom)

Abstract 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.

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Research Organization:: Univ. of California, Oakland, CA (United States); Univ. of Pennsylvania, Philadelphia, PA (United States)

Sponsoring Organization:: USDOE Office of Science (SC); Science and Technology Facilities Council (STFC); Marie Sklodowska-Curie Grant

Grant/Contract Number:: SC0018298; SC0013528; ST/P00754/1; 764850; FG02-85ER40237

OSTI ID:: 1612916

Alternate ID(s):: OSTI ID: 1905120

Journal Information:: Journal of High Energy Physics (Online), Vol. 2019, Issue 7; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 57 works

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Exact solutions for the biadjoint scalar field White, Chris D. arXiv https://doi.org/10.48550/arxiv.1606.04724	text	January 2016
Next-to-soft corrections to high energy scattering in QCD and gravity Luna, A.; Melville, S.; Naculich, S. G. arXiv https://doi.org/10.48550/arxiv.1611.02172	text	January 2016
Hidden Simplicity of the Gravity Action Cheung, Clifford; Remmen, Grant N. arXiv https://doi.org/10.48550/arxiv.1705.00626	text	January 2017
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The Kerr-Schild double copy in curved spacetime Bahjat-Abbas, Nadia; Luna, Andrés; White, Chris D. arXiv https://doi.org/10.48550/arxiv.1710.01953	text	January 2017
Inelastic Black Hole Scattering from Charged Scalar Amplitudes Luna, Andrés; Nicholson, Isobel; O'Connell, Donal arXiv https://doi.org/10.48550/arxiv.1711.03901	text	January 2017
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Double copy for massive quantum particles with spin Johansson, Henrik; Ochirov, Alexander ETH Zurich https://doi.org/10.3929/ethz-b-000371463	text	January 2019
Breakdown of the classical double copy for the effective action of dilaton-gravity at NNLO Plefka, Jan; Shi, Canxin; Steinhoff, Jan arXiv https://doi.org/10.48550/arxiv.1906.05875	text	January 2019
The Classical Double Copy of a Point Charge Kim, Kwangeon; Lee, Kanghoon; Monteiro, Ricardo arXiv https://doi.org/10.48550/arxiv.1912.02177	text	January 2019
Gauge $\times$ Gauge on Spheres Borsten, L.; Jubb, I.; Makwana, V. arXiv https://doi.org/10.48550/arxiv.1911.12324	text	January 2019
The Weyl double copy from twistor space Chacón, Erick; Nagy, Silvia; White, Chris D. arXiv https://doi.org/10.48550/arxiv.2103.16441	text	January 2021

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physics
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Title: The classical double copy in three spacetime dimensions

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