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A Color Dual Form for Gauge-Theory Amplitudes

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arxiv 1103.0312 v1 pith:IL6V6NUJ submitted 2011-03-01 hep-th

classification hep-th
keywords amplitudescolorformdualitykinematicsadditionalallowingbeen
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 2 Pith papers

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    astro-ph.GA 2026-04 unverdicted novelty 6.0 of 10

    N-body modeling of the ED-2 progenitor shows Gaia BH3 formed as an exchange binary via multiple dynamical interactions in a dense cluster, not in isolation.

  2. On differential operators for scalar-scaffolded gluons

    hep-th 2025-12 conditional novelty 6.0 of 10

    Differential operators on scalar-scaffolded variables extract individual phi^3 diagrams from gluon amplitudes, and the independent mixed amplitudes are counted by Catalan numbers.

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