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Loop Amplitudes and Quantum Homotopy Algebras

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arxiv 1912.06695 v2 pith:LW6BUCVM submitted 2019-12-13 hep-th math-phmath.MP

classification hep-thmath-phmath.MP
keywords amplitudesrelationrecursionscatteringalgebrashomotopyquantumallows
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We derive a recursion relation for loop-level scattering amplitudes of Lagrangian field theories that generalises the tree-level Berends-Giele recursion relation in Yang-Mills theory. The origin of this recursion relation is the homological perturbation lemma, which allows us to compute scattering amplitudes from minimal models of quantum homotopy algebras in a recursive way. As an application of our techniques, we give an alternative proof of the relation between non-planar and planar colour-stripped scattering amplitudes.

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Cited by 2 Pith papers

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

  1. Full S-matrices and Witten diagrams with (relative) L-infinity algebras

    hep-th 2024-12 conditional novelty 7.0 of 10

    Cyclic relative L-infinity algebras encode the full S-matrix, including its trivial part, and reproduce Witten diagrams including CFT two-point functions.

  2. 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.

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