Classical physics from amplitudes on curved backgrounds

Autor: Tim Adamo, Andrea Cristofoli, Anton Ilderton
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2022, Iss 8, Pp 1-17 (2022)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP08(2022)281
Popis: Abstract 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 shock wave 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.
Databáze: Directory of Open Access Journals