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S-matrix equivalence restored

S-matrix equivalence restored
S-matrix equivalence restored
The canonical transformation that maps light-cone Yang-Mills theory to a Lagrangian description of the MHV rules is non-local, consequently the two sets of fields do not necessarily generate the same S-matrix. By deriving a new recursion relation for the canonical transformation expansion coefficients, we find a direct map between these coefficients and tree level light-cone diagrams. We use this to show that, at least up to one-loop with dimensionally regularised MHV vertices, the only difference is the omission of the one-loop amplitudes in which all gluons have positive helicity.
QCD, gauge symmetry
35
Fu, Chih-Hao
a246632b-f6ce-4092-830e-a71816ab570b
Fudger, Jonathan
ccaa647a-2e4b-4615-a599-2c5a2075ed38
Mansfield, Paul R.W.
f7fb9389-2f6e-4ae0-89f1-21dcaab7c94d
Morris, Tim R.
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
Xiao, Zhiguang
c430961e-d591-44b4-8815-8c1a1a0d81f4
Fu, Chih-Hao
a246632b-f6ce-4092-830e-a71816ab570b
Fudger, Jonathan
ccaa647a-2e4b-4615-a599-2c5a2075ed38
Mansfield, Paul R.W.
f7fb9389-2f6e-4ae0-89f1-21dcaab7c94d
Morris, Tim R.
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
Xiao, Zhiguang
c430961e-d591-44b4-8815-8c1a1a0d81f4

Fu, Chih-Hao, Fudger, Jonathan, Mansfield, Paul R.W., Morris, Tim R. and Xiao, Zhiguang (2009) S-matrix equivalence restored. Journal of High Energy Physics, 2009 (6), 35. (doi:10.1088/1126-6708/2009/06/035).

Record type: Article

Abstract

The canonical transformation that maps light-cone Yang-Mills theory to a Lagrangian description of the MHV rules is non-local, consequently the two sets of fields do not necessarily generate the same S-matrix. By deriving a new recursion relation for the canonical transformation expansion coefficients, we find a direct map between these coefficients and tree level light-cone diagrams. We use this to show that, at least up to one-loop with dimensionally regularised MHV vertices, the only difference is the omission of the one-loop amplitudes in which all gluons have positive helicity.

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More information

Published date: June 2009
Keywords: QCD, gauge symmetry

Identifiers

Local EPrints ID: 145617
URI: http://eprints.soton.ac.uk/id/eprint/145617
PURE UUID: 759f560f-bf91-4a7e-a2b2-233004cc46e9
ORCID for Tim R. Morris: ORCID iD orcid.org/0000-0001-6256-9962

Catalogue record

Date deposited: 25 May 2010 09:56
Last modified: 07 Oct 2020 02:56

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