Recursion Relations, Generating Functions, and Unitarity Sums in N=4 SYM Theory

Details Recursion Relations, Generating Functions, and Unitarity Sums in N=4 SYM Theory Recursion Relations, Generating Functions, and Unitarity Sums in N=4 SYM Theory

2008-08-12

arxiv.org/abs/0808.1720v2

JHEP 0904:009,2009

Physics

High Energy Physics

High Energy Physics - Theory

42pp, 7 figures; v2: completion of 4-loop spin sum, typos corrected, new figure added

Scientific paper

10.1088/1126-6708/2009/04/009

We prove that the MHV vertex expansion is valid for any NMHV tree amplitude of N=4 SYM. The proof uses induction to show that there always exists a complex deformation of three external momenta such that the amplitude falls off at least as fast as 1/z for large z. This validates the generating function for n-point NMHV tree amplitudes. We also develop generating functions for anti-MHV and anti-NMHV amplitudes. As an application, we use these generating functions to evaluate several examples of intermediate state sums on unitarity cuts of 1-, 2-, 3- and 4-loop amplitudes. In a separate analysis, we extend the recent results of arXiv:0808.0504 to prove that there exists a valid 2-line shift for any n-point tree amplitude of N=4 SYM. This implies that there is a BCFW recursion relation for any tree amplitude of the theory.

Affiliated with

Also associated with

No associations

Rating

Recursion Relations, Generating Functions, and Unitarity Sums in N=4 SYM Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Recursion Relations, Generating Functions, and Unitarity Sums in N=4 SYM Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Recursion Relations, Generating Functions, and Unitarity Sums in N=4 SYM Theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-203357