Waveforms from Amplitudes

Andrea Cristofoli; Riccardo Gonzo; David A. Kosower; Donal O'Connell

doi:10.1103/PhysRevD.106.056007

Waveforms from Amplitudes

Andrea Cristofoli, Riccardo Gonzo, David A. Kosower^*, Donal O'Connell

^*Corresponding author for this work

School of Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	056007
Pages (from-to)	1-39
Number of pages	39
Journal	Physical Review D, particles, fields, gravitation, and cosmology
Volume	106
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevD.106.056007
Publication status	Published - 9 Sep 2022

Keywords

hep-th
gr-qc

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2107.10193v1Submitted manuscript, 1.12 MB
Wave_paper-6Accepted author manuscript, 988 KB

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Particle Theory at the Higgs Centre
Ball, R., Boyle, P., Del Debbio, L., Gardi, E., Horsley, R., Kennedy, A., O'Connell, D., Smillie, J. & Zwicky, R.
STFC
1/10/17 → 30/09/21
Project: Research

Cite this

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title = "Waveforms from Amplitudes",

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. ",

keywords = "hep-th, gr-qc",

author = "Andrea Cristofoli and Riccardo Gonzo and Kosower, {David A.} and Donal O'Connell",

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doi = "10.1103/PhysRevD.106.056007",

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T1 - Waveforms from Amplitudes

AU - Cristofoli, Andrea

AU - Gonzo, Riccardo

AU - Kosower, David A.

AU - O'Connell, Donal

N1 - 84 pages, 3 figures

PY - 2022/9/9

Y1 - 2022/9/9

N2 - 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.

AB - 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.

KW - hep-th

KW - gr-qc

U2 - 10.1103/PhysRevD.106.056007

DO - 10.1103/PhysRevD.106.056007

M3 - Article

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SP - 1

EP - 39

JO - Physical Review D, particles, fields, gravitation, and cosmology

JF - Physical Review D, particles, fields, gravitation, and cosmology

SN - 0556-2821

IS - 5

M1 - 056007

ER -

Waveforms from Amplitudes

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Particle Theory at the Higgs Centre

Cite this