Algebras for amplitudes

By N. Bjerrum-Bohr, P. Damgaard, R. Monteiro, D. O’Connell. 2012

152 citations recorded by the source corpus.

A bstractTree-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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/dcb09e44f7d9959dcce4e770a233a48978ece25d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. A. Luna
2. D. O’Connell
3. Isobel Nicholson
4. R. Monteiro
5. Chris D. White
6. Alexander Ochirov
7. H. Johansson
8. Rafael A. Porto

In Nuclear and High Energy Physics

1. A. Luna
2. D. O’Connell
3. Chris D. White
4. Isobel Nicholson
5. R. Monteiro
6. Alexander Ochirov
7. C. Cheung
8. H. Johansson

In Statistical and Nonlinear Physics

1. A. Luna
2. D. O’Connell
3. Isobel Nicholson
4. Chris D. White
5. R. Monteiro
6. H. Johansson
7. Alexander Ochirov

Citations in the corpus

• The double copy: Bremsstrahlung and accelerating black holes (2016, background): “The validity of the BCJ double copy and the existence of colour-dual numerators has been proven at tree-level [5–13] (where it is equivalent to the KLT relations [1]).”
• Black holes and the double copy (2014, background): “This is an example of a biadjoint scalar theory [11, 52], as mentioned in the introduction.”