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

Petros D. Draggiotis·Ronald H. P. Kleiss·Achilleas Lazopoulos·Costas G. Papadopoulos
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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 guarantees the validity of the BCFW construction.

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Petros D. Draggiotis, Ronald H. P. Kleiss, Achilleas Lazopoulos, Costas G. Papadopoulos. 2005-11-25. Diagrammatic proof of the BCFW recursion relation for gluon amplitudes in QCD. https://doi.org/10.1140/epjc%2Fs2006-02484-y

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