Chapter 2: An invitation to color-kinematics duality and the double copy

Zvi Bern; John Joseph Carrasco; Marco Chiodaroli; Henrik Johansson; Radu Roiban

doi:10.1088/1751-8121/ac93cf

Chapter 2: An invitation to color-kinematics duality and the double copy

Zvi Bern, John Joseph Carrasco, Marco Chiodaroli, Henrik Johansson^*, Radu Roiban

^*Corresponding author for this work

Physics and Astronomy

Research output: Contribution to journal › Review article › peer-review

14 Scopus citations

Abstract

Advances in scattering amplitudes have exposed previously-hidden color-kinematics and double-copy structures in theories ranging from gauge and gravity theories to effective field theories such as chiral perturbation theory and the Born-Infeld model. These novel structures both simplify higher-order calculations and pose tantalizing questions related to a unified framework underlying relativistic quantum theories. This introductory mini-review article invites further exploration of these topics. After a brief introduction to color-kinematics duality and the double copy as they emerge at tree and loop-level in gauge and gravity theories, we present two distinct examples: (1) an introduction to the web of double-copy-constructible theories, and (2) a discussion of the application of the double copy to calculation relevant to gravitational-wave physics.

Original language	English (US)
Article number	443003
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	55
Issue number	44
DOIs	https://doi.org/10.1088/1751-8121/ac93cf
State	Published - Oct 28 2022

Keywords

gauge theory
gravity
scattering amplitudes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Modeling and Simulation
Mathematical Physics
Physics and Astronomy(all)

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10.1088/1751-8121/ac93cf

Cite this

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title = "Chapter 2: An invitation to color-kinematics duality and the double copy",

abstract = "Advances in scattering amplitudes have exposed previously-hidden color-kinematics and double-copy structures in theories ranging from gauge and gravity theories to effective field theories such as chiral perturbation theory and the Born-Infeld model. These novel structures both simplify higher-order calculations and pose tantalizing questions related to a unified framework underlying relativistic quantum theories. This introductory mini-review article invites further exploration of these topics. After a brief introduction to color-kinematics duality and the double copy as they emerge at tree and loop-level in gauge and gravity theories, we present two distinct examples: (1) an introduction to the web of double-copy-constructible theories, and (2) a discussion of the application of the double copy to calculation relevant to gravitational-wave physics.",

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author = "Zvi Bern and Carrasco, {John Joseph} and Marco Chiodaroli and Henrik Johansson and Radu Roiban",

note = "Funding Information: We are particularly grateful to Oliver Schlotterer for detailed feedback on the manuscript. ZB is supported by the U.S. Department of Energy (DOE) under Grant No. DE-SC0009937 and by the Mani L. Bhaumik Institute for Theoretical Physics. JJMC is grateful for the support of Northwestern University, the DOE under Contract DE-SC0021485, and by the Alfred P. Sloan Foundation. RR is supported by the U.S. Department of Energy (DOE) under Grant No. DE-SC00019066. The work of MC is supported by the Swedish Research Council under Grant 2019-05283. The research of MC and HJ is also supported by the Knut and Alice Wallenberg Foundation under grants KAW 2018.0116 ( From Scattering Amplitudes to Gravitational Waves) and KAW 2018.0162, and the Ragnar S{\"o}derberg Foundation (Swedish Foundations{\textquoteright} Starting Grant). Publisher Copyright: {\textcopyright} 2022 The Author(s). Published by IOP Publishing Ltd.",

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AU - Roiban, Radu

N1 - Funding Information: We are particularly grateful to Oliver Schlotterer for detailed feedback on the manuscript. ZB is supported by the U.S. Department of Energy (DOE) under Grant No. DE-SC0009937 and by the Mani L. Bhaumik Institute for Theoretical Physics. JJMC is grateful for the support of Northwestern University, the DOE under Contract DE-SC0021485, and by the Alfred P. Sloan Foundation. RR is supported by the U.S. Department of Energy (DOE) under Grant No. DE-SC00019066. The work of MC is supported by the Swedish Research Council under Grant 2019-05283. The research of MC and HJ is also supported by the Knut and Alice Wallenberg Foundation under grants KAW 2018.0116 ( From Scattering Amplitudes to Gravitational Waves) and KAW 2018.0162, and the Ragnar Söderberg Foundation (Swedish Foundations’ Starting Grant). Publisher Copyright: © 2022 The Author(s). Published by IOP Publishing Ltd.

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N2 - Advances in scattering amplitudes have exposed previously-hidden color-kinematics and double-copy structures in theories ranging from gauge and gravity theories to effective field theories such as chiral perturbation theory and the Born-Infeld model. These novel structures both simplify higher-order calculations and pose tantalizing questions related to a unified framework underlying relativistic quantum theories. This introductory mini-review article invites further exploration of these topics. After a brief introduction to color-kinematics duality and the double copy as they emerge at tree and loop-level in gauge and gravity theories, we present two distinct examples: (1) an introduction to the web of double-copy-constructible theories, and (2) a discussion of the application of the double copy to calculation relevant to gravitational-wave physics.

AB - Advances in scattering amplitudes have exposed previously-hidden color-kinematics and double-copy structures in theories ranging from gauge and gravity theories to effective field theories such as chiral perturbation theory and the Born-Infeld model. These novel structures both simplify higher-order calculations and pose tantalizing questions related to a unified framework underlying relativistic quantum theories. This introductory mini-review article invites further exploration of these topics. After a brief introduction to color-kinematics duality and the double copy as they emerge at tree and loop-level in gauge and gravity theories, we present two distinct examples: (1) an introduction to the web of double-copy-constructible theories, and (2) a discussion of the application of the double copy to calculation relevant to gravitational-wave physics.

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Chapter 2: An invitation to color-kinematics duality and the double copy

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