The double copy relates scattering amplitudes in gauge and gravity theories. It has also been extended to classical solutions, and a number of approaches have been developed for doing so. One of these involves expressing fields in a variety of (super-)gravity theories in terms of convolutions of gauge fields, including also BRST ghost degrees of freedom that map neatly to their corresponding counterparts in gravity. In this paper, we spell out how to use the convolutional double copy to map gauge and gravity solutions in the manifest Lorenz and de Donder gauges respectively. We then apply this to a particular example, namely the point charge in pure gauge theory. As well as clarifying how to use the convolutional approach, our results provide an alternative point of view on a recent discussion concerning whether point charges map to the Schwarzschild solution, or the more general two-parameter JNW solution, which includes a dilaton field. We confirm the latter.
Luna, Andrés, et al. "The convolutional double copy: a case study with a point." Journal of High Energy Physics (Online), vol. 2020, no. 9, Sep. 2020. https://doi.org/10.1007/jhep09(2020)062
Luna, Andrés, Nagy, Silvia, & White, Chris D. (2020). The convolutional double copy: a case study with a point. Journal of High Energy Physics (Online), 2020(9). https://doi.org/10.1007/jhep09(2020)062
Luna, Andrés, Nagy, Silvia, and White, Chris D., "The convolutional double copy: a case study with a point," Journal of High Energy Physics (Online) 2020, no. 9 (2020), https://doi.org/10.1007/jhep09(2020)062
@article{osti_1801940,
author = {Luna, Andrés and Nagy, Silvia and White, Chris D.},
title = {The convolutional double copy: a case study with a point},
annote = {The double copy relates scattering amplitudes in gauge and gravity theories. It has also been extended to classical solutions, and a number of approaches have been developed for doing so. One of these involves expressing fields in a variety of (super-)gravity theories in terms of convolutions of gauge fields, including also BRST ghost degrees of freedom that map neatly to their corresponding counterparts in gravity. In this paper, we spell out how to use the convolutional double copy to map gauge and gravity solutions in the manifest Lorenz and de Donder gauges respectively. We then apply this to a particular example, namely the point charge in pure gauge theory. As well as clarifying how to use the convolutional approach, our results provide an alternative point of view on a recent discussion concerning whether point charges map to the Schwarzschild solution, or the more general two-parameter JNW solution, which includes a dilaton field. We confirm the latter.},
doi = {10.1007/jhep09(2020)062},
url = {https://www.osti.gov/biblio/1801940},
journal = {Journal of High Energy Physics (Online)},
issn = {ISSN 1029-8479},
number = {9},
volume = {2020},
place = {United States},
publisher = {Springer Berlin},
year = {2020},
month = {09}}
Proceedings of Corfu Summer Institute 2017 "Schools and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2017)https://doi.org/10.22323/1.318.0177