Classical physics from amplitudes on curved backgrounds

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 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.

arXiv comment15 pages

References in corpus (37)

• Amplitudes, Observables, and Classical Scattering
• Eikonal Quantum Gravity and Planckian Scattering
• Observables and amplitudes for spinning particles and black holes
• Black-hole scattering with general spin directions from minimal-coupling amplitudes
• Kerr Black Holes as Elementary Particles
• Scattering at Planckian Energies
• An electromagnetic analog of gravitational wave memory
• Gravitational Bremsstrahlung from Reverse Unitarity
• Infrared Divergences in QED, Revisited
• Scattering on plane waves and the double copy
• Shaving off Black Hole Soft Hair
• On an Exponential Representation of the Gravitational S-Matrix
• The Memory Effect for Plane Gravitational Waves
• Asymptotic Symmetries and Electromagnetic Memory
• Infra-red divergences in plane wave backgrounds
• Electromagnetic fields of a massless particle and the eikonal
• Radiation reaction in strong field QED
• Large Gauge Symmetries and Asymptotic States in QED
• Classical Solutions and their Double Copy in Split Signature
• Classical observables from coherent-spin amplitudes
• Radiation reaction from QED: lightfront perturbation theory in a plane wave background
• Velocity Memory Effect for Polarized Gravitational Waves
• Classical Yang-Mills observables from amplitudes
• Classical and quantum double copy of back-reaction
• Classical Double Copy of Worldline Quantum Field Theory
• Gravitational shock waves and scattering amplitudes
• Resummation of quantum radiation reaction in plane waves
• Rotating Black Holes in Cubic Gravity
• MHV scattering of gluons and gravitons in chiral strong fields
• Graviton particle statistics and coherent states from classical scattering amplitudes
• Memory, Penrose Limits and the Geometry of Gravitational Shockwaves and Gyratons
• Post-Newtonian Waveforms from Spinning Scattering Amplitudes
• On electromagnetic and colour memory in even dimensions
• Radiation Problem in Transplanckian Scattering
• New Effects in Gravitational Waves and Memory
• One-loop multicollinear limits from 2-point amplitudes on self-dual backgrounds
• The memory effect in impulsive plane waves: comments, corrections, clarifications