Color Dual Form for Gauge-Theory Amplitudes

Z. Bern and T. Dennen
Phys. Rev. Lett. 107, 081601 – Published 17 August 2011

Abstract

Recently a duality between color and kinematics has been proposed, exposing a new unexpected structure in gauge theory and gravity scattering amplitudes. Here we propose that the relation goes deeper, allowing us to reorganize amplitudes into a form reminiscent of the standard color decomposition in terms of traces over generators, but with the role of color and kinematics swapped. By imposing additional conditions similar to Kleiss-Kuijf relations between partial amplitudes, the relationship between the earlier form satisfying the duality and the current one is invertible. We comment on extensions to loop level.

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  • Received 9 March 2011

DOI:https://doi.org/10.1103/PhysRevLett.107.081601

© 2011 American Physical Society

Authors & Affiliations

Z. Bern and T. Dennen

  • Department of Physics and Astronomy, UCLA, Los Angeles, California 90095-1547, USA

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Issue

Vol. 107, Iss. 8 — 19 August 2011

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