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Diagrammatic proof of the BCFW recursion relation for gluon amplitudes in QCD |
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| Authors: | PD Draggiotis RHP Kleiss A Lazopoulos CG Papadopoulos |
| Institution: | (1) Physics Department, Nuclear & Particle Physics Section, University of Athens, 15771 Athens, Greece;(2) IMAPP, Institute of Mathematics, Astrophysics and Particle Physics, Radboud University, Nijmegen, The Netherlands;(3) Institute of Nuclear Physics, NCSR “Demokritos”, 15310 Athens, Greece |
| 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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