Proof of the MHV vertex expansion for all tree amplitudes in N=4 SYM theory
2009 (English)In: Journal of High Energy Physics (JHEP), ISSN 1029-8479, E-ISSN 1126-6708Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
tree approximation | gauge field theory: Yang-Mills | supersymmetry: 4 | sum rule | expansion: vertex | perturbation theory: higher-order
Research subject Theoretical Physics
IdentifiersURN: urn:nbn:se:uu:diva-196390DOI: 10.1088/1126-6708/2009/06/068OAI: oai:DiVA.org:uu-196390DiVA: diva2:610049