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

David A. Kosower; Ricardo Monteiro; D. O'Connell

doi:10.1088/1751-8121/ac8846

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

David A. Kosower, Ricardo Monteiro^*, D. O'Connell

^*Corresponding author for this work

School of Physics and Astronomy

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

Abstract / Description of output

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.

Original language	English
Article number	443015
Pages (from-to)	1-43
Number of pages	43
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	55
Issue number	44
DOIs	https://doi.org/10.1088/1751-8121/ac8846
Publication status	Published - 30 Nov 2022

Keywords / Materials (for Non-textual outputs)

double copy
gravity
scattering amplitudes

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10.1088/1751-8121/ac8846Licence: Creative Commons: Attribution (CC-BY)

https://arxiv.org/abs/2203.13025

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 = "The SAGEX Review on scattering amplitudes Chapter 14: Classical gravity from scattering amplitudes",

abstract = "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. ",

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author = "Kosower, {David A.} and Ricardo Monteiro and D. O'Connell",

note = "Funding Information: This work was supported by the European Union{\textquoteright}s Horizon 2020 research and innovation programme under the Marie Sk{\l}odowska-Curie Grant Agreement No. 764850 {\textquoteleft} SAGEX{\textquoteright}. DOC is supported by the U.K. Science and Technology Facilities Council (STFC) Grant ST/P000630/1. DAK{\textquoteright}s work was supported in part by the French Agence Nationale pour la Recherche, under Grant ANR-17-CE31-0001-01, and in part by the European Research Council, under Grant ERC-AdG-885414. RM is supported by a Royal Society University Research Fellowship. Publisher Copyright: {\textcopyright} 2022 The Author(s). Published by IOP Publishing Ltd.",

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N1 - Funding Information: This work was supported by the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 764850 ‘ SAGEX’. DOC is supported by the U.K. Science and Technology Facilities Council (STFC) Grant ST/P000630/1. DAK’s work was supported in part by the French Agence Nationale pour la Recherche, under Grant ANR-17-CE31-0001-01, and in part by the European Research Council, under Grant ERC-AdG-885414. RM is supported by a Royal Society University Research Fellowship. Publisher Copyright: © 2022 The Author(s). Published by IOP Publishing Ltd.

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N2 - 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.

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ER -

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

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Particle Theory at the Higgs Centre

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