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arXiv · 1203.0944

Algebras for Amplitudes

N. E. J. Bjerrum-Bohr·Poul H. Damgaard·Ricardo Monteiro·Donal O'Connell
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Abstract

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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N. E. J. Bjerrum-Bohr, Poul H. Damgaard, Ricardo Monteiro, Donal O'Connell. 2012-03-05. Algebras for Amplitudes. https://doi.org/10.1007/jhep06(2012)061

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