Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-05-12
JHEP 1107 (2011) 007
Physics
High Energy Physics
High Energy Physics - Theory
29 pages, 5 figures. v2: references added, published version
Scientific paper
10.1007/JHEP07(2011)007
We identify a diffeomorphism Lie algebra in the self-dual sector of Yang-Mills theory, and show that it determines the kinematic numerators of tree-level MHV amplitudes in the full theory. These amplitudes can be computed off-shell from Feynman diagrams with only cubic vertices, which are dressed with the structure constants of both the Yang-Mills colour algebra and the diffeomorphism algebra. Therefore, the latter algebra is the dual of the colour algebra, in the sense suggested by the work of Bern, Carrasco and Johansson. We further study perturbative gravity, both in the self-dual and in the MHV sectors, finding that the kinematic numerators of the theory are the BCJ squares of the Yang-Mills numerators.
Monteiro Ricardo
O'Connell Donal
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