MHV vertices and tree amplitudes in gauge theory

By F. Cachazo, Peter Svrček, E. Witten. 2004

738 citations recorded by the source corpus.

As an alternative to the usual Feynman graphs, tree amplitudes in Yang-Mills theory can be constructed from tree graphs in which the vertices are tree level MHV scattering amplitudes, continued off shell in a particular fashion. The formalism leads to new and relatively simple formulas for many amplitudes, and can be heuristically derived from twistor space.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/d5baabe7c622f0d680c7c8b3d7a505da1d50712a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. R. Britto
2. F. Cachazo
3. Kasper Risager
4. Bo Feng
5. V. Khoze
6. C. Cheung
7. E. Witten
8. E. Glover

In Nuclear and High Energy Physics

1. F. Cachazo
2. Kasper Risager
3. R. Britto
4. N. Arkani-Hamed
5. L. Mason
6. C. Cheung
7. S. Caron-Huot
8. David Skinner

Citations in the corpus

• Recursion relations for gauge theory amplitudes with massive particles. (2005, background): “[2], the BrittoCachazo-Feng (BCF) recursion relations of Refs.”
• Tree Amplitudes in Gauge Theory as Scalar MHV Diagrams (2004, methodology): “The formalism amounts to an effective scalar perturbation theory which offers a much simpler alternative to the usual Feynman diagrams in gauge theory and can be used for deriving new simple expressions for tree amplitudes.”
• Cut-constructible part of QCD amplitudes (2006, methodology): “ it is essential to note that an extra factor of t2 shows up in the second line. The reason is that we have pulled out an overall t factor when we write measure (3.4). That is to say, we have written [18,21] Pαα˙ = λ old α eλold α˙ → ( √ tλnew α )( √ tλenew α˙ ) (3.6) in the measure formula given by”
• Loop amplitudes in gauge theories: modern analytic approaches (2010, methodology): “We make use of the following identity to rewrite the integrand as a total derivative [30].”
• Sharpening The Leading Singularity (2008, result): “If this box were the only contribution on the scalar integral side we would find that by comparing to the first equation 3 A similar situation was encountered in the derivation of MHV diagrams from twistor string theory in [32].”
• Direct proof of the tree-level scattering amplitude recursion relation in Yang-mills theory. (2005, methodology): “The proof uses the MHV diagram construction of Yang-Mills tree amplitudes [6].”
• 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.”