Algebras for Amplitudes

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

doi:10.1007/JHEP06(2012)061

Algebras for Amplitudes

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

School of Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

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.

Original language	Undefined/Unknown
Journal	Journal of High Energy Physics
DOIs	https://doi.org/10.1007/JHEP06(2012)061
Publication status	Published - 5 Mar 2012

Keywords

hep-th

Access to Document

10.1007/JHEP06(2012)061

Cite this

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title = "Algebras for Amplitudes",

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.",

keywords = "hep-th",

author = "{E. J. Bjerrum-Bohr}, N. and {H. Damgaard}, Poul and Ricardo Monteiro and Donal O'Connell",

note = "17 pages, 1 figure. v2: published version, example added in appendix",

year = "2012",

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doi = "10.1007/JHEP06(2012)061",

language = "Undefined/Unknown",

journal = "Journal of High Energy Physics",

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AU - E. J. Bjerrum-Bohr, N.

AU - H. Damgaard, Poul

AU - Monteiro, Ricardo

AU - O'Connell, Donal

N1 - 17 pages, 1 figure. v2: published version, example added in appendix

PY - 2012/3/5

Y1 - 2012/3/5

N2 - 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.

AB - 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.

KW - hep-th

U2 - 10.1007/JHEP06(2012)061

DO - 10.1007/JHEP06(2012)061

M3 - Article

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

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