The MHV QCD Lagrangian
The MHV QCD Lagrangian
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.
qcd, gauge symmetry
1-42
Ettle, James H.
df2e6a77-0c52-48e7-8bab-5458a7a248c7
Morris, Tim R.
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
Xiao, Zhiguang
c430961e-d591-44b4-8815-8c1a1a0d81f4
28 August 2008
Ettle, James H.
df2e6a77-0c52-48e7-8bab-5458a7a248c7
Morris, Tim R.
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
Xiao, Zhiguang
c430961e-d591-44b4-8815-8c1a1a0d81f4
Abstract
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.
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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
Identifiers
Local EPrints ID: 145629
URI: http://eprints.soton.ac.uk/id/eprint/145629
PURE UUID: 38d58e2c-eca6-43d9-a49a-3015e3d54eb9
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Date deposited: 25 May 2010 10:18
Last modified: 14 Mar 2024 02:33
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Contributors
Author:
James H. Ettle
Author:
Zhiguang Xiao
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