The Duality Between Color and Kinematics and its Applications

TL;DR

This review explores the duality between color and kinematics in gauge and gravity theories, focusing on its implications for loop calculations, theory connections, and extending the duality beyond scattering amplitudes.

Contribution

It provides a comprehensive overview of the color-kinematics duality, its applications, and challenges in extending the double-copy construction beyond amplitudes.

Findings

Enhanced understanding of loop-level calculations in gauge and gravity theories

Identification of the web of theories connected by the duality

Discussion on extending the duality beyond scattering amplitudes

Abstract

This review describes the duality between color and kinematics and its applications, with the aim of gaining a deeper understanding of the perturbative structure of gauge and gravity theories. We emphasize, in particular, applications to loop-level calculations, the broad web of theories linked by the duality and the associated double-copy structure, and the issue of extending the duality and double copy beyond scattering amplitudes. The review is aimed at doctoral students and junior researchers both inside and outside the field of amplitudes and is accompanied by various exercises.