# The MHV QCD Lagrangian

@article{Ettle2008TheMQ, title={The MHV QCD Lagrangian}, author={James H. Ettle and Tim R. Morris and Zhiguang Xiao}, journal={Journal of High Energy Physics}, year={2008}, volume={2008}, pages={103-103} }

We perform a canonical change of the field variables of light-cone gauge massless QCD to obtain a lagrangian whose terms are proportional up to polarisation factors to MHV amplitudes and continued off shell by the CSW prescription. We solve for this transformation as a series expansion to all orders in the new fields, and use this to prove that the resulting vertices are indeed MHV vertices as claimed. We also demonstrate how this works explicitly for the vertices with: two quarks and two…

## 26 Citations

### The MHV Lagrangian for a spontaneously broken gauge theory

- Physics
- 2010

Starting from the standard Lagrangian for a SU(2) × U(1) gauge theory plus a Higgs field we derive the corresponding “maximal helicity violating” (MHV) Lagrangian. From this MHV Lagrangian one…

### The canonical transformation and massive CSW vertices for MHV-SQCD

- Physics
- 2008

The similarity of massive CSW scalar vertices and quark vertices can be understood using a kind of light-cone SUSY transformation presented in this paper. We also show that the canonical…

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

- Physics
- 2010

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…

### On-shell supersymmetry for massive multiplets

- Physics
- 2011

The consequences of on-shell supersymmetry are studied for scattering amplitudes with massive particles in four dimensions. Using the massive version of the spinor helicity formalism the…

### The MHV lagrangian vertices and the Parke-Taylor formula

- Mathematics
- 2009

We explicitly calculate the vertices of the MHV-rules lagrangian in 4-dimensions. This proves that the vertices in the lagrangian obtained by a canonical transformation from light-cone Yang-Mills…

### Twistor-inspired construction of massive quark amplitudes

- Physics
- 2008

The analog of the Cachazo-Svrcek-Witten rules for scattering amplitudes with massive quarks is derived following an approach previously employed for amplitudes with massive scalars. A prescription…

### Wilson lines in the MHV action

- Physics, Mathematics
- 2017

A bstractThe MHV action is the Yang-Mills action quantized on the light-front, where the two explicit physical gluonic degrees of freedom have been canonically transformed to a new set of fields.…

### MHV Lagrangians for Yang--Mills and QCD

- Physics
- 2008

Over the past few decades, it has been realised that gauge theory scattering amplitudes have structures much simpler than the traditional Feynman graph driven approach would suggest. In particular,…

### A new Wilson line-based action for gluodynamics

- MathematicsJournal of High Energy Physics
- 2021

Abstract
We perform a canonical transformation of fields that brings the Yang-Mills action in the light-cone gauge to a new classical action, which does not involve any triple-gluon vertices. The…

## References

SHOWING 1-10 OF 119 REFERENCES

### On-shell recursion relations for all Born QCD amplitudes

- Physics
- 2007

We consider on-shell recursion relations for all Born QCD amplitudes. This includes amplitudes with several pairs of quarks and massive quarks. We give a detailed description on how to shift the…

### The structure of gluon radiation in QCD

- Physics
- 1989

For massless QCD the hard scattering amplitudes are naturally written in terms of the dual color expansion. Here I present this expansion for purely gluonic processes and processes involving…

### 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…

### Structure of the MHV-rules lagrangian

- Physics
- 2006

Recently, a canonical change of field variables was proposed that converts the Yang-Mills Lagrangian into an MHV-rules Lagrangian, i.e. one whose tree level Feynman diagram expansion generates CSW…

### Multigluonic scattering amplitudes of heavy quarks

- Physics
- 2005

We consider heavy quark and antiquark off-shell spinorial currents with emission of an arbitrary number of gluons of positive helicity. From this results we calculate the corresponding on-shell…

### Compact multigluonic scattering amplitudes with heavy scalars and fermions.

- PhysicsPhysical review letters
- 2006

It is shown explicitly that the scattering amplitude of massive fermions to gluons, all with positive helicity, is proportional to the scalar one, confirming in this way the recently advocated SUSY-like Ward identities relating both amplitudes.

### MHV Lagrangian for N = 4 super Yang-Mills

- Physics
- 2006

Here we formulate two field redefinitions for N = 4 Super Yang-Mills in light cone superspace that generates only MHV vertices in the new Lagrangian. After careful consideration of the S-matrix…

### Amplitudes in pure Yang-Mills and MHV Diagrams

- Physics
- 2007

We show how to calculate the one-loop scattering amplitude with all gluons of negative helicity in non-supersymmetric Yang-Mills theory using MHV diagrams. We argue that the amplitude with all…

### MHV vertices and fermionic scattering amplitudes in gauge theory with quarks and gluinos

- Physics
- 2004

The Cachazo-Svrcek-Witten approach to perturbative gauge theory is extended to gauge theories with quarks and gluinos. All googly amplitudes with quark-antiquark pairs and gluinos are computed and…