BCFW recursion

The Britto–Cachazo–Feng–Witten recursion relations are a set of on-shell recursion relations in quantum field theory.^[1]^[2] They are named for their creators, Ruth Britto, Freddy Cachazo, Bo Feng and Edward Witten.

The BCFW recursion method is a way of calculating scattering amplitudes.^[3] This technique is widely used in analytic calculations^[4] due to the relative conciseness of the resulting expressions, when compared to the more traditional methods. The principal property of the BCFW recursion is that at every stage of the calculation it involves exclusively real (on-shell) particles, as opposed to the virtual (off-shell) particles that propagate inside conventional Feynman diagrams.

References

^ Brecht Truijen (August 2012). "Britto-Cachazo-Feng-Witten Recursion: An Introduction" (PDF). Archived from the original (PDF) on 21 February 2014. Retrieved 23 September 2013.
^ Achilleas Lazopoulos (24 August 2006). "B.C.F.W. Recursion Relations and the Link to Feynman Graphs" (PDF). Archived from the original (PDF) on 27 September 2013. Retrieved 23 September 2013.
^ Ruth Britto; Freddy Cachazo; Bo Feng; Edward Witten (2005). "Direct Proof of Tree-Level Recursion Relation in Yang-Mills Theory". Physical Review Letters. 94 (18): 181602. arXiv:hep-th/0501052. Bibcode:2005PhRvL..94r1602B. doi:10.1103/PhysRevLett.94.181602. PMID 15904356. S2CID 10180346.
^ Bo Feng; Mingxing Luo (2011). "An Introduction to On-shell Recursion Relations". Frontiers of Physics. 7 (5): 533–575. arXiv:1111.5759. Bibcode:2012FrPhy...7..533F. doi:10.1007/s11467-012-0270-z. S2CID 118409551.