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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

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

classification hep-th math-phmath.MP
keywords one-loopamplitudesoff-shellequationsfieldgaugemethodmotion
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 4 Pith papers

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

  1. The bi-adjoint scalar $\ell$-loop planar integrand recursion and graded inverse variables

    hep-th 2025-05 unverdicted novelty 6.0

    A new formalism with graded inverse variables refines the ℓ-loop planar integrand recursion in bi-adjoint scalar theory, allowing graph factors and symmetry factors to be read directly from monomials.

  2. Systematic approach to $\ell$-loop planar integrands from the classical equation of motion

    hep-th 2025-04 unverdicted novelty 6.0

    A recursion formula for ℓ-loop planar integrands in colored QFTs is derived from the classical equation of motion via comb components and loop kernels.

  3. Perturbiner methods in scattering amplitude

    hep-th 2026-07 accept novelty 5.5

    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 ...

  4. Off-shell recursion for all-loop planar integrands in Yang-Mills theory

    hep-th 2026-04 unverdicted novelty 5.0

    Yang-Mills planar loop integrands admit an off-shell recursion that organizes the pure-gluon sector into matrix form and incorporates ghost contributions, yielding a concrete two-loop strategy.