Proof of the MHV vertex expansion for all tree amplitudes in N=4 SYM theory
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We prove the MHV vertex expansion for all tree amplitudes of Script N = 4 SYM theory. The proof uses a shift acting on all external momenta, and we show that every NkMHV tree amplitude falls off as 1/zk, or faster, for large z under this shift. The MHV vertex expansion allows us to derive compact and efficient generating functions for all NkMHV tree amplitudes of the theory. We also derive an improved form of the anti-NMHV generating function. The proof leads to a curious set of sum rules for the diagrams of the MHV vertex expansion.
Date issued
2009-06Department
Massachusetts Institute of Technology. Center for Theoretical Physics; Massachusetts Institute of Technology. Department of MathematicsJournal
Journal of High Energy Physics
Publisher
Institute of Physics for SISSA
Citation
Elvang, Henriette, Daniel Z. Freedman, and Michael Kiermaier. "Proof of the MHV vertex expansion for all tree amplitudes in Script N = 4 SYM theory." Journal of High Energy Physics, IOP Press, June 2009.
Version: Author's final manuscript
Other identifiers
MIT-CTP-4000
UUITP-26/08
ISSN
1029-8479