The classical double copy of a point charge

Abstract The classical double copy relates solutions to the equations of motion in gauge theory and in gravity. In this paper, we present two double-copy formalisms for relating the Coulomb solution in gauge theory to the two-parameter Janis-Newman-Winicour solution in gravity. The latter is a stati...

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Main Authors: Kwangeon Kim, Kanghoon Lee, Ricardo Monteiro, Isabel Nicholson, David Peinador Veiga
Format: Article
Language:English
Published: SpringerOpen 2020-02-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP02(2020)046
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author Kwangeon Kim
Kanghoon Lee
Ricardo Monteiro
Isabel Nicholson
David Peinador Veiga
author_facet Kwangeon Kim
Kanghoon Lee
Ricardo Monteiro
Isabel Nicholson
David Peinador Veiga
author_sort Kwangeon Kim
collection DOAJ
description Abstract The classical double copy relates solutions to the equations of motion in gauge theory and in gravity. In this paper, we present two double-copy formalisms for relating the Coulomb solution in gauge theory to the two-parameter Janis-Newman-Winicour solution in gravity. The latter is a static, spherically symmetric, asymptotically fiat solution that generically includes a dilaton field, but also admits the Schwarzschild solution as a special case. We first present the classical double copy as a perturbative construction, similar to its formulation for scattering amplitudes, and then present it as an exact map, with a novel generalisation of the Kerr-Schild double copy motivated by double field theory. The latter formalism exhibits the relation between the Kerr-Schild classical double copy and the string theory origin of the double copy for scattering amplitudes.
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spelling doaj.art-1e22667d6d2e492ea618041969eef0bc2022-12-21T19:58:50ZengSpringerOpenJournal of High Energy Physics1029-84792020-02-012020212810.1007/JHEP02(2020)046The classical double copy of a point chargeKwangeon Kim0Kanghoon Lee1Ricardo Monteiro2Isabel Nicholson3David Peinador Veiga4Center for Theoretical Physics of the Universe, Institute for Basic Science (IBS)Center for Theoretical Physics of the Universe, Institute for Basic Science (IBS)Centre for Research in String Theory, School of Physics and Astronomy, Queen Mary University of LondonHiggs Centre for Theoretical Physics, School of Physics and Astronomy, The University of EdinburghCentre for Research in String Theory, School of Physics and Astronomy, Queen Mary University of LondonAbstract The classical double copy relates solutions to the equations of motion in gauge theory and in gravity. In this paper, we present two double-copy formalisms for relating the Coulomb solution in gauge theory to the two-parameter Janis-Newman-Winicour solution in gravity. The latter is a static, spherically symmetric, asymptotically fiat solution that generically includes a dilaton field, but also admits the Schwarzschild solution as a special case. We first present the classical double copy as a perturbative construction, similar to its formulation for scattering amplitudes, and then present it as an exact map, with a novel generalisation of the Kerr-Schild double copy motivated by double field theory. The latter formalism exhibits the relation between the Kerr-Schild classical double copy and the string theory origin of the double copy for scattering amplitudes.https://doi.org/10.1007/JHEP02(2020)046Black HolesScattering AmplitudesString Duality
spellingShingle Kwangeon Kim
Kanghoon Lee
Ricardo Monteiro
Isabel Nicholson
David Peinador Veiga
The classical double copy of a point charge
Journal of High Energy Physics
Black Holes
Scattering Amplitudes
String Duality
title The classical double copy of a point charge
title_full The classical double copy of a point charge
title_fullStr The classical double copy of a point charge
title_full_unstemmed The classical double copy of a point charge
title_short The classical double copy of a point charge
title_sort classical double copy of a point charge
topic Black Holes
Scattering Amplitudes
String Duality
url https://doi.org/10.1007/JHEP02(2020)046
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