S-matrix equivalence restored

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.

36 pages, JHEP3 style, published version, discussions on rational parts and supersymmetry added

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Cited by in corpus (2)

• Infinite Dimensional Symmetries of Self-Dual Yang-Mills
• One-Loop Effective Action Approach to Quantum MHV Theory