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

Draggiotis, Petros D.; Kleiss, Ronald H. P.; Lazopoulos, Achilleas; Papadopoulos, Costas G.

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

Authors

Draggiotis, Petros D.

Kleiss, Ronald H. P.

Lazopoulos, Achilleas

Papadopoulos, Costas G.

Description

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.
24 pages, 33 figures