The SAGEX review on scattering amplitudes Chapter 14: Classical gravity from scattering amplitudes

Scattering amplitudes have their origin in quantum field theory, but have wide-ranging applications extending to classical physics. We review a formalism to connect certain classical observables to scattering amplitudes. An advantage of this formalism is that it enables us to study implications of t...

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2022-11, Vol.55 (44), p.443015
Main Authors: Kosower, David A, Monteiro, Ricardo, O’Connell, Donal
Format: Article
Language:English
Subjects:
double copy
gravity
scattering amplitudes
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Summary:Scattering amplitudes have their origin in quantum field theory, but have wide-ranging applications extending to classical physics. We review a formalism to connect certain classical observables to scattering amplitudes. An advantage of this formalism is that it enables us to study implications of the double copy in classical gravity. We discuss examples of observables including the total change of a particle’s momentum, and the gravitational waveform, during a scattering encounter. The double copy also allows direct access to classical solutions in gravity. We review this classical double copy starting from its linearised level, where it originates in the double copy of three-point amplitudes. The classical double copy extends elegantly to exact solutions, making a connection between scattering amplitudes and the geometric formulation of general relativity.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8121/ac8846