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

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 tha...

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Veröffentlicht in:The European physical journal. C, Particles and fields Particles and fields, 2006-06, Vol.46 (3), p.741-750
Hauptverfasser: Draggiotis, P.D., Kleiss, R.H.P., Lazopoulos, A., Papadopoulos, C.G.
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container_title The European physical journal. C, Particles and fields
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creator Draggiotis, P.D.
Kleiss, R.H.P.
Lazopoulos, A.
Papadopoulos, C.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 guarantee the validity of the BCFW construction.
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subjects Amplitudes
Apexes
Equivalence
Feynman diagrams
Gauge invariance
Gluons
Quantum chromodynamics
title Diagrammatic proof of the BCFW recursion relation for gluon amplitudes in QCD
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