Scattering on plane waves and the double copy
Perturbatively around flat space, the scattering amplitudes of gravity are related to those of Yang–Mills by colour-kinematic duality, under which gravitational amplitudes are obtained as the 'double copy' of the corresponding gauge theory amplitudes. We consider the question of how to ext...
| Main Authors: | , , , |
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| Format: | Journal article |
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IOP Publishing
2017
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| _version_ | 1826260998760169472 |
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| author | Adamo, T Casali, E Mason, L Nekovar, S |
| author_facet | Adamo, T Casali, E Mason, L Nekovar, S |
| author_sort | Adamo, T |
| collection | OXFORD |
| description | Perturbatively around flat space, the scattering amplitudes of gravity are related to those of Yang–Mills by colour-kinematic duality, under which gravitational amplitudes are obtained as the 'double copy' of the corresponding gauge theory amplitudes. We consider the question of how to extend this relationship to curved scattering backgrounds, focusing on certain 'sandwich' plane waves. We calculate the 3-point amplitudes on these backgrounds and find that a notion of double copy remains in the presence of background curvature: graviton amplitudes on a gravitational plane wave are the double copy of gluon amplitudes on a gauge field plane wave. This is non-trivial in that it requires a non-local replacement rule for the background fields and the momenta and polarization vectors of the fields scattering on the backgrounds. It must also account for new 'tail' terms arising from scattering off the background. These encode a memory effect in the scattering amplitudes, which naturally double copies as well. |
| first_indexed | 2024-03-06T19:14:38Z |
| format | Journal article |
| id | oxford-uuid:17ec63dd-cba4-431c-997c-857b27d229b0 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T19:14:38Z |
| publishDate | 2017 |
| publisher | IOP Publishing |
| record_format | dspace |
| spelling | oxford-uuid:17ec63dd-cba4-431c-997c-857b27d229b02022-03-26T10:40:19ZScattering on plane waves and the double copyJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:17ec63dd-cba4-431c-997c-857b27d229b0Symplectic Elements at OxfordIOP Publishing2017Adamo, TCasali, EMason, LNekovar, SPerturbatively around flat space, the scattering amplitudes of gravity are related to those of Yang–Mills by colour-kinematic duality, under which gravitational amplitudes are obtained as the 'double copy' of the corresponding gauge theory amplitudes. We consider the question of how to extend this relationship to curved scattering backgrounds, focusing on certain 'sandwich' plane waves. We calculate the 3-point amplitudes on these backgrounds and find that a notion of double copy remains in the presence of background curvature: graviton amplitudes on a gravitational plane wave are the double copy of gluon amplitudes on a gauge field plane wave. This is non-trivial in that it requires a non-local replacement rule for the background fields and the momenta and polarization vectors of the fields scattering on the backgrounds. It must also account for new 'tail' terms arising from scattering off the background. These encode a memory effect in the scattering amplitudes, which naturally double copies as well. |
| spellingShingle | Adamo, T Casali, E Mason, L Nekovar, S Scattering on plane waves and the double copy |
| title | Scattering on plane waves and the double copy |
| title_full | Scattering on plane waves and the double copy |
| title_fullStr | Scattering on plane waves and the double copy |
| title_full_unstemmed | Scattering on plane waves and the double copy |
| title_short | Scattering on plane waves and the double copy |
| title_sort | scattering on plane waves and the double copy |
| work_keys_str_mv | AT adamot scatteringonplanewavesandthedoublecopy AT casalie scatteringonplanewavesandthedoublecopy AT masonl scatteringonplanewavesandthedoublecopy AT nekovars scatteringonplanewavesandthedoublecopy |