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

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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24 pages, 33 figures

Scientific paper

10.1140/epjc/s2006-02484-y

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 guarantees the validity of the BCFW construction.

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