Waveforms from amplitudes

By Andrea Cristofoli, Riccardo Gonzo, David A. Kosower, D. O’Connell. Physical Review D, 2021

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Andrea Cristofoli,1 Riccardo Gonzo,2 David A. Kosower,3 and Donal O’Connell4 1Niels Bohr Institute, Blegdamsvej 17, 2100 København Ø a.cristofoli@nbi.ku.dk 2School of Mathematics, Trinity College, Dublin 2, Ireland gonzo@maths.tcd.ie 3Institut de Physique Théorique, CEA, CNRS, Université Paris–Saclay, F–91191 Gif-sur-Yvette cedex, France David.Kosower@ipht.fr 4Higgs Centre for Theoretical Physics, School of Physics and Astronomy, The University of Edinburgh, Edinburgh EH9 3JZ, Scotland, UK donal@ed.ac.uk (Dated: December 7, 2021) Abstract We show how to compute classical wave observables using quantum scattering amplitudes. We discuss observables both with incoming and with outgoing waves. The required classical limits are naturally described by coherent states of massless bosons. We recompute the classic gravitational deflection of light, and also show how to rederive Thomson scattering. We introduce a new class of local observables, which includes the asymptotic electromagnetic and gravitational Newman– Penrose scalars. As an example, we compute a simple radiated waveform: the expectation of the electromagnetic field in charged-particle scattering. At leading order, the waveform is trivially related to the five-point scattering amplitude.

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/3c0efdf3eeab67dec0d7a5d1418e9051518e530b