2012/10/31 by Ryo Saotome, Ratindranath Akhoury · 115 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Field (mathematics) #Field theory (psychology) #Gauge (firearms) #Gauge theory #Gluon #Gravitation #Graviton #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Particle physics #Physics #Pulsars and Gravitational Waves Research #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Scattering #Scattering amplitude #Theoretical physics #hep-th
paper · pdf · doi:10.1007/jhep01(2013)123
published in Journal of High Energy Physics 2013(1) (Springer Nature) · 20 pages, 8 figures, reference added, some minor clarifications added to the text
arxiv created 2012/11/12 · openalex publication_date 2013/01/01 · arxiv updated 2015/06/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Investigations of high-energy graviton-graviton and gluon-gluon scattering are performed in the leading eikonal approximation for the kinematic regime of large center of mass energy and low momentum transfer. We find a double copy relation between the amplitudes of the two theories to all loop orders when, on the gauge theory side, we retain only the set of diagrams at each loop order for which the collinear divergences cancel amongst themselves. For this to happen the color structure of all diagrams in the set must be identical. Using standard field theoretic methods, it is shown that this relation is reflected in a similar double copy relationship between the classical shockwaves of the two theories as well.