Diagrammatic proof of the BCFW recursion relation for gluon amplitudes in QCD
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
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Published online: 31 March 2006
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.
© Springer-Verlag, 2006