S-matrix equivalence restored

Chih-Hao Fu, Jonathan Fudger, Paul R.W Mansfield, Tim R Morris, Zhiguang Xiao
2009 Journal of High Energy Physics  
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
more » ... ce is the omission of the one-loop amplitudes in which all gluons have positive helicity.
doi:10.1088/1126-6708/2009/06/035 fatcat:gifwejliwvbk3kdrj3t2hz6yui