A direct proof of the CSW rules

By Kasper Risager. 2005

215 citations recorded by the source corpus.

Using recursion methods similar to those of Britto, Cachazo, Feng and Witten (BCFW) a direct proof of the CSW rules for computing tree-level gluon amplitudes is given.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/0f44151745b01e46e39a4ffd40fcc302ce4201a4

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In Nuclear and High Energy Physics

1. N. Arkani-Hamed
2. C. Cheung
3. L. Mason
4. F. Cachazo
5. David Skinner
6. J. Trnka
7. Tim Adamo
8. J. Bourjaily

Citations in the corpus

• Generating tree amplitudes in Script N = 4 SYM and Script N = 8 SG (2008, methodology): “For external gluon amplitudes, the method was established before the invention of modern recursion relations in [6, 7], but the version of recursion relations studied in [15] provides the simplest and most general approach, and clarifies the validity of the method.”
• New Recursion Relations and a Flat Space Limit for AdS/CFT Correlators (2012, methodology): “These recursion relations are somewhat similar to the recursion relations developed by Risager [13] for flat space gluon and graviton amplitudes.”
• Extensions of theories from soft limits (2016, background): “ABI⊕YM 5 (1 γ− , 2 − , 3 − , 4 + , 5 + ) = s23 (s45 − s13 − s23) [45](3) [12][23][34][51] +s24 (s14 + s24 − s35) [45](4) [12][24][43][35][51] .”
• Unification of residues and Grassmannian dualities (2009, background): “In our previous paper [17], we showed that a natural contour deformation “blows up residues” into a sum over local and non-local terms, making the local spacetime description as manifest as possible by connecting to the light-cone gauge Lagrangian via the CSW/Risager [18, 19, 20, 21, 22] rules.”
• Scattering amplitudes and Wilson loops in twistor space (2011, background): “Another recursion procedure that is naturally expressed in momentum twistor space is that due to Risager [85].”
• A Note on dual superconformal symmetry of the N=4 super Yang-Mills S-matrix (2008, methodology): “To exploit this efficiently, one considers a particular deformation of an amplitude which shifts (5)As mentioned earlier, an N = 4 supersymmetric recursion relation was written down in [20] for NMHV amplitudes using a set of three antiholomorphic shifts suggested by Risager [19].”
• TASI Lectures on Scattering Amplitudes (2017, methodology): “This is a generalization of the three-line momentum shift devised by Risager [54] to prove the MHV vertex expansion [48].”
• On the tensionless limit of string theory, off-shell higher spin interaction vertices and BCFW recursion relations (2010, methodology): “Actually the CSW construction turns out to be a particular application of the BCFW method [45].”
• The Lagrangian origin of MHV rules. (2005, unknown): “In [10] Britto, Cachazo, Feng and Witten gave a proof of the tree-level MHV rules based on their factorisation properties and an alternative proof using on-shell recursion relations was given by Risager in [11].”