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Proof of the MHV vertex expansion for all tree amplitudes in N=4 SYM theory
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2009 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479Article in journal (Refereed) Published
Abstract [en]

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
2009.
Keyword [en]
tree approximation | gauge field theory: Yang-Mills | supersymmetry: 4 | sum rule | expansion: vertex | perturbation theory: higher-order
National Category
Subatomic Physics
Research subject
Theoretical Physics
Identifiers
URN: urn:nbn:se:uu:diva-196390DOI: 10.1088/1126-6708/2009/06/068OAI: oai:DiVA.org:uu-196390DiVA: diva2:610049
Available from: 2013-03-08 Created: 2013-03-08 Last updated: 2017-12-06

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