Adamo, Tim

Cristofoli, Andrea

Ilderton, Anton

English

We generalise the Kosower-Maybee-O'Connell (KMOC) formalism relating classical observables and scattering amplitudes to curved backgrounds. We show how to compute the final semiclassical state for a particle moving in a curved background in terms of scattering amplitudes on that background. Two-point amplitudes in this framework correspond to conservative physics with background-dependent memory effects. As an application, we consider plane wave and shockwave backgrounds both in electromagnetism and general relativity. We determine the final semiclassical state, showing it satisfies a notion of double copy on curved backgrounds. We then conclude by computing the impulse of a particle on such backgrounds, deriving exact results and velocity memory effects

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Classical physics from amplitudes on curved backgrounds

https://www.research.ed.ac.uk/files/301511864/2203.13785v2.pdf

Classical physics from amplitudes on curved backgrounds

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