# MHV vertices and tree amplitudes in gauge theory

@article{Cachazo2004MHVVA, title={MHV vertices and tree amplitudes in gauge theory}, author={Freddy Cachazo and Peter Svr{\vc}ek and Edward Witten}, journal={Journal of High Energy Physics}, year={2004}, volume={2004}, pages={006-006} }

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.

## 196 Citations

### Tree Amplitudes in Gauge Theory as Scalar MHV Diagrams

- Physics
- 2004

It was proposed in [2] that all tree amplitudes in pure Yang-Mills theory can be constructed from known MHV amplitudes. We apply this approach for calculating tree amplitudes of gauge fields and…

### Gauge Theory Amplitudes, Scalar Graphs and Twistor Space

- Physics
- 2004

We discuss a remarkable new approach initiated by Cachazo, Svrcek and Witten for calculating gauge theory amplitudes. The formalism amounts to an effective scalar perturbation theory which in many…

### One-loop MHV amplitudes in supersymmetric gauge theories

- Physics
- 2005

Using CSW rules for constructing scalar Feynman diagrams from MHV vertices, we compute the contribution of = 1 chiral multiplet to one-loop MHV gluon amplitude. The result agrees with the one…

### All split helicity tree-level gluon amplitudes

- Physics
- 2005

Recently a new recursion relation for tree-level gluon amplitudes in gauge theory has been discovered. We solve this recursion to obtain explicit formulas for the closed set of amplitudes with…

### Tree and Loop Amplitudes in Open Twistor String Theory

- Mathematics
- 2007

We compute the one-loop gluon amplitude for the open twistor string model of Berkovits, using a symmetric form of the vertex operators. We discuss the classical solutions in various topologies and…

### The googly amplitudes in gauge theory

- Physics
- 2004

The googly amplitudes in gauge theory are computed by using the off shell MHV vertices with the newly proposed rules of Cachazo, Svrcek and Witten. The result is in agreement with the previously…

### Recursion relations for tree amplitudes in super gauge theories

- Physics
- 2005

Using newly proposed recursion relations in [25], [26], compact formulas are obtained for tree-level amplitudes of g1−g2−g3−g4+g5+...gn+. We then make an extension of these recursion relations to…

### MHV vertices and scattering amplitudes in gauge theory

- Physics
- 2004

The generic googly amplitudes in gauge theory are computed by using the Cachazo-Svrcek-Witten approach to perturbative calculation in gauge theory and the results are in agreement with the previously…

### Direct proof of the tree-level scattering amplitude recursion relation in Yang-mills theory.

- PhysicsPhysical review letters
- 2005

A short and direct proof of this recursion relation for tree-level scattering amplitudes based on properties of tree- level amplitudes only is given.