Proof of the MHV vertex expansion for all tree amplitudes in N=4 SYM theory

Details Proof of the MHV vertex expansion for all tree amplitudes in N=4 SYM theory Proof of the MHV vertex expansion for all tree amplitudes in N=4 SYM theory

2008-11-21

arxiv.org/abs/0811.3624v1

JHEP 0906:068,2009

Physics

High Energy Physics

High Energy Physics - Theory

40 pages, 7 figures

Scientific paper

10.1088/1126-6708/2009/06/068

We prove the MHV vertex expansion for all tree amplitudes of N=4 SYM theory. The proof uses a shift acting on all external momenta, and we show that every N^kMHV tree amplitude falls off as 1/z^k, or faster, for large z under this shift. The MHV vertex expansion allows us to derive compact and efficient generating functions for all N^kMHV 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.

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