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Gauge Amplitude Identities by On-shell Recursion Relation in S-matrix Program

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arxiv 1004.3417 v3 pith:IHCKDRXN submitted 2010-04-20 hep-th

Bo Feng , Rijun Huang , Yin Jia This is my paper · ORCID
classification hep-th
keywords relationon-shellamplitudegaugeprogramproofrecursions-matrix
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abstract

Using only the Britto-Cachazo-Feng-Witten(BCFW) on-shell recursion relation we prove color-order reversed relation, $U(1)$-decoupling relation, Kleiss-Kuijf(KK) relation and Bern-Carrasco-Johansson(BCJ) relation for color-ordered gauge amplitude in the framework of S-matrix program without relying on Lagrangian description. Our derivation is the first pure field theory proof of the new discovered BCJ identity, which substantially reduces the color ordered basis from $(n-2)!$ to $(n-3)!$. Our proof gives also its physical interpretation as the mysterious bonus relation with ${1\over z^2}$ behavior under suitable on-shell deformation for no adjacent pair.

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Cited by 4 Pith papers

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

  1. Three-Loop Five-Point CK-Dual Amplitudes and UV Structure in N=4 SYM and N=8 SUGRA

    hep-th 2026-08 conditional novelty 7.0 of 10

    First explicit full-color three-loop five-point CK-dual integrand for N=4 SYM, with its N=8 SUGRA double copy and D=6 UV poles.

  2. Gleaning gravitational amplitudes -- a double copy for canceling dilatons

    hep-th 2025-01 conditional novelty 7.0 of 10

    An asymmetric double copy with a ghost-like sqrt-dilaton cancels dilaton contaminations in tree-level GR amplitudes with massive scalars up to six points, leaving a residual bubble ambiguity at one loop.

  3. 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.

  4. Hidden Zeros and $2$-split via BCFW Recursion Relation

    hep-th 2025-04 unverdicted novelty 4.0 of 10

    Hidden zeros in NLSM amplitudes are proven via modified BCFW recursion, with 2-split holding only under careful current definition.

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