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

Research output: Contribution to journalReview articlepeer-review

35 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 languageEnglish (US)
Article number443003
JournalJournal of Physics A: Mathematical and Theoretical
Volume55
Issue number44
DOIs
StatePublished - Oct 28 2022

Funding

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).

Keywords

  • gauge theory
  • gravity
  • scattering amplitudes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modeling and Simulation
  • Mathematical Physics
  • General Physics and Astronomy

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