Direct proof of the tree-level scattering amplitude recursion relation in Yang-mills theory.
By R. Britto, F. Cachazo, Bo Feng, E. Witten. Physical Review Letters, 2005
1,001 citations recorded by the source corpus.
Recently, by using the known structure of one-loop scattering amplitudes for gluons in Yang-Mills theory, a recursion relation for tree-level scattering amplitudes has been deduced. Here, we give a short and direct proof of this recursion relation based on properties of tree-level amplitudes only.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/6d82d63a21a7c401b3fed44e450bbe0218de64ac
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In Nuclear and High Energy Physics
- F. Cachazo
- C. Cheung
- Kasper Risager
- R. Britto
- N. Arkani-Hamed
- Pierpaolo Mastrolia
- Simon Badger
- Bo Feng
Citations in the corpus
- Tree level recursion relations in general relativity (2005, positive): “In this section we study the large z behavior of Feynman diagrams contributing to A(z) following [2].”
- Direct extraction of one loop rational terms (2008, methodology): “On-shell recursive techniques at tree-level [8, 9 ] use basic complex analysis and universal factorisation properties to write simple relations between on-shell amplitudes.”
- The S-matrix in twistor space (2009, methodology): “After a quick introduction to the kinematical aspects of (2,2) twistor space relevant to our discussion, we show that the BCFW recursion relations for tree-level amplitudes [ 41 , 42, 46, 47] (The validity of BCFW recursion relations in gravity was explored in: [43–45]), when cast in their most natu”