Diagrammatic proof of the BCFW recursion relation for gluon amplitudes in QCD
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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.
KeywordsField Theory Elementary Particle Quantum Field Theory Feynman Diagram Recursion Relation
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- 9.L. Dixon, Boulder TASI 95, 539 [hep-ph/9601359]Google Scholar