Diagrammatic proof of the BCFW recursion relation for gluon amplitudes in QCD
Petros D. Draggiotis, Ronald H. P. Kleiss, Achilleas Lazopoulos, Costas G. Papadopoulos
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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