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Classical Yang-Mills observables from amplitudes

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arxiv 2009.03842 v2 pith:H3N44SLO submitted 2020-09-08 hep-th

classification hep-th
keywords colourclassicalamplitudeschangedynamicsorderradiationyang-mills
verification ladder T0 review T1 audit T2 compute T3 formal
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The double copy suggests that the basis of the dynamics of general relativity is Yang-Mills theory. Motivated by the importance of the relativistic two-body problem, we study the classical dynamics of colour-charged particle scattering from the perspective of amplitudes, rather than equations of motion. We explain how to compute the change of colour, and the radiation of colour, during a classical collision. We apply our formalism at next-to-leading order for the colour change and at leading order for colour radiation.

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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. Classical worldlines from scattering amplitudes

    hep-th 2024-12 conditional novelty 8.0 of 10

    A new 'quantum worldline' representation makes the classical limit of scattering amplitudes exactly match worldline field theory integrands at two loops.

  2. Gravitational lensing in a plasma from worldlines

    hep-th 2024-12 conditional novelty 6.0 of 10

    The worldline formalism yields a closed-form NLO plasma-induced deflection angle for power-law electron density, matching previous results where they exist.

  3. QCD-Gravity double copy in Regge asymptotics: from $2\rightarrow n$ amplitudes to radiation in shockwave collisions

    hep-th 2025-07 accept novelty 3.0 of 10

    A lecture-note synthesis showing that the same Lipatov vertices and reggeized propagators govern multi-particle production in QCD and gravity, with double-copy, Weinberg soft, and shockwave limits all connected in one...

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