There is a series of deep relations between the scattering amplitudes of Yang–Mills theory and those of Einstein gravity, known as double copy. This relation has been proven at tree level, but whether it holds at loop level has been a longstanding conjecture. In this talk we resolve this by constructing Lagrangians for Yang–Mills theory and Einstein gravity that manifest the double copy relation and formulate the result in terms of the theory of homotopy algebras (L∞-, A∞-algebras).
Based on 2007.13803, joint work with L. Borsten, B. Jurčo, T. Macrelli, C. Sämann, M. Wolf.
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|Length of talk||15-25 minutes|
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