The University of Southampton
University of Southampton Institutional Repository

The MHV QCD Lagrangian

Ettle, James H., Morris, Tim R. and Xiao, Zhiguang (2008) The MHV QCD Lagrangian Journal of High Energy Physics, 2008, (8), pp. 1-42. (doi:10.1088/1126-6708/2008/08/103).

Record type: Article


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 gluons, four quarks, and a particular helicity configuration of two quarks and three gluons. Finally, we generalise the construction to massive QCD.

Full text not available from this repository.

More information

Published date: 28 August 2008
Additional Information: Important new material: Proof that vertices are MHV amps off-shell, plus results for all MHV verts with massive quarks. Clarifications made, esp. on the link between massless quark-gluon vertices and known results, and the choice of massive poln spinors.
Keywords: qcd, gauge symmetry
Organisations: Physics & Astronomy


Local EPrints ID: 145629
PURE UUID: 38d58e2c-eca6-43d9-a49a-3015e3d54eb9
ORCID for Tim R. Morris: ORCID iD

Catalogue record

Date deposited: 25 May 2010 10:18
Last modified: 18 Jul 2017 23:06

Export record



Author: James H. Ettle
Author: Tim R. Morris ORCID iD
Author: Zhiguang Xiao

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton:

ePrints Soton supports OAI 2.0 with a base URL of

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.