MHV Lagrangian for N=4 Super Yang-Mills

Details MHV Lagrangian for N=4 Super Yang-Mills MHV Lagrangian for N=4 Super Yang-Mills

2006-11-15

arxiv.org/abs/hep-th/0611164v3

JHEP 0904:047,2009

Physics

High Energy Physics

High Energy Physics - Theory

17 pages 4 figures, 2 sections and several references added typo corrected

Scientific paper

10.1088/1126-6708/2009/04/047

Here we formulate two field redefinitions for N=4 Super Yang-Mills in light cone superspace that generates only MHV vertices in the new Lagrangian. After careful consideration of the S-matrix equivalence theorem, we see that only the canonical transformation gives the MHV Lagrangian that would correspond to the CSW expansion. Being in superspace, it is easier to analyse the equivalence theorem at loop level. We calculate the on shell amplitude for 4pt $(\bar{\Lambda}\bar{{\rm A}}\Lambda {\rm A})$ MHV in the new lagrangian and show that it reproduces the previously known form. We also briefly discuss the relationship with the off-shell continuation prescription of CSW.

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