Structure of the MHV-rules Lagrangian
Structure of the MHV-rules Lagrangian
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 rules. We solve the relations defining the canonical transformation, to all orders of expansion in the new fields, yielding simple explicit holomorphic expressions for the expansion coefficients. We use these to confirm explicitly that the three, four and five point vertices are proportional to MHV amplitudes with the correct coefficient, as expected. We point out several consequences of this framework, and initiate a study of its implications for MHV rules at the quantum level. In particular, we investigate the wavefunction matching factors implied by the Equivalence Theorem at one loop, and show that they may be taken to vanish in dimensional regularisation.
gauge symmetry, qcd
1-22
Ettle, James H.
df2e6a77-0c52-48e7-8bab-5458a7a248c7
Morris, Tim R.
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
1 August 2006
Ettle, James H.
df2e6a77-0c52-48e7-8bab-5458a7a248c7
Morris, Tim R.
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
Abstract
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 rules. We solve the relations defining the canonical transformation, to all orders of expansion in the new fields, yielding simple explicit holomorphic expressions for the expansion coefficients. We use these to confirm explicitly that the three, four and five point vertices are proportional to MHV amplitudes with the correct coefficient, as expected. We point out several consequences of this framework, and initiate a study of its implications for MHV rules at the quantum level. In particular, we investigate the wavefunction matching factors implied by the Equivalence Theorem at one loop, and show that they may be taken to vanish in dimensional regularisation.
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Published date: 1 August 2006
Keywords:
gauge symmetry, qcd
Organisations:
High Energy Physics
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Local EPrints ID: 45384
URI: http://eprints.soton.ac.uk/id/eprint/45384
ISSN: 1029-8479
PURE UUID: b25b1280-9695-4c75-8d01-0f3afc8f3df4
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Date deposited: 26 Mar 2007
Last modified: 16 Mar 2024 02:36
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Author:
James H. Ettle
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