Non-MHV Tree Amplitudes in Gauge Theory

@article{Georgiou2004NonMHVTA,
  title={Non-MHV Tree Amplitudes in Gauge Theory},
  author={George M. Georgiou and E. W. N. Glover and Valentin V. Khoze},
  journal={Journal of High Energy Physics},
  year={2004},
  volume={2004},
  pages={048-048}
}
We show how all non-MHV tree-level amplitudes in 0 ? ? 4 gauge theories can be obtained directly from the known MHV amplitudes using the scalar graph approach of Cachazo, Svrcek and Witten. Generic amplitudes are given by sums of inequivalent scalar diagrams with MHV vertices. The novel feature of our method is that after the `Feynman rules' for scalar diagrams are used, together with a particular choice of the reference spinor, no further helicity-spinor algebra is required to convert the… 

Figures from this paper

Super Yang-Mills from MHV Vertices

We propose a new, twistor string theory inspired formalism to calculate loop amplitudes in N = 4 super Yang-Mills theory. In this approach, maximal helicity violating (MHV) tree amplitudes of N = 4

On perturbative field theory and twistor string theory

It is well-known that perturbative calculations in field theory can lead to far simpler answers than the Feynman diagram approach might suggest. In some cases scattering amplitudes can be constructed

Generalisations of the MHV lagrangian theory to D-dimensions and to super-space

It has been known that the CSW rules correctly reproduce all tree-level scattering amplitudes for perturbative non-abelian gauge theory but fail to explain some of the loop order results. In this

From trees to loops and back

We argue that generic one-loop scattering amplitudes in supersymmetric Yang-Mills theories can be computed equivalently with MHV diagrams or with Feynman diagrams. We first present a general proof of

All tree-level amplitudes in massless QCD

We derive compact analytical formulae for all tree-level color-ordered gauge theory amplitudes involving any number of external gluons and up to four massless quarkanti-quark pairs. A general formula

Generating tree amplitudes in Script N = 4 SYM and Script N = 8 SG

We study n-point tree amplitudes of = 4 super Yang-Mills theory and = 8 supergravity for general configurations of external particles of the two theories. We construct generating functions for

A super MHV vertex expansion for = 4 SYM theory

We present a supersymmetric generalization of the MHV vertex expansion for all tree amplitudes in = 4 SYM theory. In addition to the choice of a reference spinor, this super MHV vertex expansion also

The structure of amplitudes in N=4 SYM

The study of amplitudes and related quantities in the N = 4 Super Yang-Mills theory is a subject undergoing rapid evolution at the moment. In this work we present a review of some of the key ideas
...