https://doi.org/10.1140/epjc/s2006-02484-y
Theoretical Physics
Diagrammatic proof of the BCFW recursion relation for gluon amplitudes in QCD
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
* e-mail: pdrag@phys.uoa.gr
Received:
1
December
2005
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