Perturbative spacetimes from Yang-Mills theory
Andrés Luna (School of Physics and Astronomy, University of Glasgow, Glasgow, G12 8QQ, Scotland, U.K.); Ricardo Monteiro (Theoretical Physics Department, CERN, Geneva, Switzerland); Isobel Nicholson (Higgs Centre for Theoretical Physics, School of Physics and Astronomy, The University of Edinburgh, Edinburgh, EH9 3JZ, Scotland, U.K.); Alexander Ochirov (Higgs Centre for Theoretical Physics, School of Physics and Astronomy, The University of Edinburgh, Edinburgh, EH9 3JZ, Scotland, U.K.); Donal O’Connell (Higgs Centre for Theoretical Physics, School of Physics and Astronomy, The University of Edinburgh, Edinburgh, EH9 3JZ, Scotland, U.K.); et al - Show all 7 authors
The double copy relates scattering amplitudes in gauge and gravity theories. In this paper, we expand the scope of the double copy to construct spacetime metrics through a systematic perturbative expansion. The perturbative procedure is based on direct calculation in Yang-Mills theory, followed by squaring the numerator of certain perturbative diagrams as specified by the double-copy algorithm. The simplest spherically symmetric, stationary spacetime from the point of view of this procedure is a particular member of the Janis-Newman-Winicour family of naked singularities. Our work paves the way for applications of the double copy to physically interesting problems such as perturbative black-hole scattering.
