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Diagrammatic proof of the BCFW recursion relation for gluon amplitudes in QCD

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Abstract

We present a proof of the Britto–Cachazo–Feng–Witten tree-level recursion relation for gluon amplitudes in QCD, based on a direct equivalence between BCFW decompositions and Feynman diagrams. We demonstrate that this equivalence can be made explicit when working in a convenient gauge. We exhibit that gauge invariance and the particular structure of Yang–Mills vertices guarantee the validity of the BCFW construction.

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Authors and Affiliations

  1. Physics Department, Nuclear & Particle Physics Section, University of Athens, 15771, Athens, Greece

    P.D. Draggiotis

  2. IMAPP, Institute of Mathematics, Astrophysics and Particle Physics, Radboud University, Nijmegen, The Netherlands

    R.H.P. Kleiss & A. Lazopoulos

  3. Institute of Nuclear Physics, NCSR “Demokritos”, 15310, Athens, Greece

    P.D. Draggiotis & C.G. Papadopoulos

Authors
  1. P.D. Draggiotis
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  2. R.H.P. Kleiss
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  3. A. Lazopoulos
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  4. C.G. Papadopoulos
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Correspondence to P.D. Draggiotis.

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Draggiotis, P., Kleiss, R., Lazopoulos, A. et al. Diagrammatic proof of the BCFW recursion relation for gluon amplitudes in QCD. Eur. Phys. J. C 46, 741–750 (2006). https://doi.org/10.1140/epjc/s2006-02484-y

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  • DOI: https://doi.org/10.1140/epjc/s2006-02484-y

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