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One-loop off-shell amplitudes from classical equations of motion

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arxiv 2208.02831 v3 pith:ZXA56O5I submitted 2022-08-04 hep-th math-phmath.MP

classification hep-thmath-phmath.MP
keywords one-loopamplitudesoff-shellequationsfieldgaugemethodmotion
verification ladder T0 review T1 audit T2 compute T3 formal

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In this letter we present a recursive method for computing one-loop off-shell amplitudes in colored quantum field theories. First, we generalize the perturbiner method by recasting the multiparticle currents as generators of off-shell tree level amplitudes. After, by taking advantage of the underlying color structure, we define a consistent sewing procedure to iteratively compute the one-loop integrands. When gauge symmetries are involved, the whole procedure is extended to multiparticle solutions involving ghosts, which can then be accounted for in the full loop computation. Since the required input here is equations of motion and gauge symmetry, our framework naturally extends to one-loop computations in certain non-Lagrangian field theories.

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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. Recursion for Differential Cross-Section from the Optical Theorem

    hep-ph 2024-12 conditional novelty 6.0 of 10

    A recursive framework built on the optical theorem and a doubled-field action computes differential cross-sections directly, reproducing known tree-level 2 to 2 and 2 to 4 phi^4 results.

  3. Perturbiner methods in scattering amplitude

    hep-th 2026-07 accept novelty 5.5 of 10

    Perturbiner multi-particle solutions of classical field equations generate Berends–Giele currents and tree-level amplitudes across scalars, gauge theory, gravity, NLSM, AdS, and one-loop integrands, including several ...

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