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

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 guarantees the validity of the BCFW construction.

24 pages, 33 figures

References in corpus (5)

• Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
• New Recursion Relations for Tree Amplitudes of Gluons
• One-Loop Gauge Theory Amplitudes in N=4 Super Yang-Mills from MHV Vertices
• MHV Rules for Higgs Plus Multi-Gluon Amplitudes
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Cited by in corpus (9)

• All One-loop Maximally Helicity Violating Gluonic Amplitudes in QCD
• BCFW Recursion Relation with Nonzero Boundary Contribution
• On BCFW shifts of integrands and integrals
• On-shell recursion relations for all Born QCD amplitudes
• An Introduction to On-shell Recursion Relations
• A note on the boundary contribution with bad deformation in gauge theory
• Multi-Parton Scattering Amplitudes via On-Shell Methods
• U(1)-decoupling, KK and BCJ relations in $\mathcal{N}=4$ SYM
• The MHV Lagrangian for a spontaneously broken gauge theory