2013/12/31 by Alexander Ochirov, Piotr Tourkine
Mathematics · Physics and Astronomy · #Amplitude #Black Holes and Theoretical Physics #Discrete mathematics #Duality (order theory) #Field (mathematics) #Field theory (psychology) #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Pulsars and Gravitational Waves Research #Pure mathematics #Quantum mechanics #Realization (probability) #Scattering amplitude #String (physics) #String field theory #String theory #Supergravity #Supersymmetry #Theoretical physics #hep-th
paper · pdf · doi:10.1007/jhep05(2014)136
published as JHEP 1405 (2014) 136 · 46 pages, 8 figures, 2 tables; v3 significantly revised published version
openalex publication_date 2014/05/01 · arxiv created 2014/07/19 · arxiv updated 2014/07/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
This paper is focused on the loop-level understanding of the Bern-Carrasco-Johansson double copy procedure that relates the integrands of gauge theory and gravity scattering amplitudes. At four points, the first non-trivial example of that construction is one-loop amplitudes in N =2 super-Yang-Mills theory and the symmetric realization of N =4 matter-coupled supergravity. Our approach is to use both field and string theory in parallel to analyze these amplitudes. The closed string provides a natural framework to analyze the BCJ construction, in which the left- and right-moving sectors separately create the color and kinematics at the integrand level. At tree level, in a five-point example, we show that the Mafra-Schlotterer-Stieberger procedure gives a new direct proof of the color-kinematics double copy. We outline the extension of that argument to n points. At loop level, the field-theoretic BCJ construction of N = 2 SYM amplitudes introduces new terms, unexpected from the string theory perspective. We discuss to what extent we can relate them to the terms coming from the interactions between left- and right-movers in the string-theoretic gravity construction.