uu.seUppsala University Publications
Change search
ReferencesLink to record
Permanent link

Direct link
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 1029-8479, E-ISSN 1126-6708Article 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
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
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: 2013-03-08

Open Access in DiVA

No full text

Other links

Publisher's full text
By organisation
Theoretical Physics
In the same journal
Journal of High Energy Physics (JHEP)
Subatomic Physics

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 511 hits
ReferencesLink to record
Permanent link

Direct link