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Color-kinematics duality from the Bern-Kosower formalism

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arxiv 2105.06745 v1 pith:FYKO6WR2 submitted 2021-05-14 hep-th math-phmath.MP

classification hep-thmath-phmath.MP
keywords formalismbern-kosowerprocedureamplitudescurrentsdualitymulti-particlepinch
verification ladder T0 review T1 audit T2 compute T3 formal
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Berends-Giele currents are fundamental building blocks for on-shell amplitudes in non-abelian gauge theory. We present a novel procedure to construct them using the Bern-Kosower formalism for one-loop gluon amplitudes. Applying the pinch procedure of that formalism to a suitable special case the currents are naturally obtained in terms of multi-particle fields and obeying colour-kinematics duality. As a feedback to the Bern-Kosower formalism we outline how the multi-particle polarisations and field-strength tensors can be used to significantly streamline the pinch procedure.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Color-factor symmetry using perturbiner methods for tree-level amplitudes of Yang-Mills theory coupled to matter

    hep-th 2026-07 accept novelty 6.0 of 10

    Perturbiner recursion proves color-factor symmetry (hence BCJ relations) for all tree-level YM+matter amplitudes with at least one gluon.

  2. Gluon amplitudes in first quantization

    hep-th 2025-08 unverdicted novelty 6.0 of 10

    A bosonic spinning particle model with BRST-extracted vertex operators yields tree-level gluon amplitudes as worldline correlators.

  3. Off-shell double copy theories in BV

    hep-th 2025-06 conditional novelty 6.0 of 10

    A BV-formalism construction gives off-shell double-copy actions for Chern-Simons, BF, and 2D Yang-Mills theories, with Kodaira-Spencer and Kähler gravity as natural examples.

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