Structure of the MHV-rules Lagrangian

Details Structure of the MHV-rules Lagrangian Structure of the MHV-rules Lagrangian

2006-05-11

arxiv.org/abs/hep-th/0605121v1

JHEP0608:003,2006

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, 1 figure. Makes major improvements on withdrawn paper hep-th/0605024

Scientific paper

10.1088/1126-6708/2006/08/003

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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