Algebras for Amplitudes

Details Algebras for Amplitudes Algebras for Amplitudes

2012-03-05

arxiv.org/abs/1203.0944v1

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, 1 figure

Scientific paper

Tree-level amplitudes of gauge theories are expressed in a basis of auxiliary amplitudes with only cubic vertices. The vertices in this formalism are explicitly factorized in color and kinematics, clarifying the color-kinematics duality in gauge theory amplitudes. The basis is constructed making use of the KK and BCJ relations, thereby showing precisely how these relations underlie the color-kinematics duality. We express gravity amplitudes in terms of a related basis of color-dressed gauge theory amplitudes, with basis coefficients which are permutation symmetric.

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