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dc.contributor.authorElvang, Henriette
dc.contributor.authorFreedman, Daniel Z.
dc.contributor.authorKiermaier, Michael
dc.date.accessioned2011-06-21T16:56:48Z
dc.date.available2011-06-21T16:56:48Z
dc.date.issued2009-04
dc.date.submitted2009-01
dc.identifier.issn1029-8479
dc.identifier.urihttp://hdl.handle.net/1721.1/64630
dc.description.abstractWe prove that the MHV vertex expansion is valid for any NMHV tree amplitude of Script 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 Script N = 4 SYM. This implies that there is a BCFW recursion relation for any tree amplitude of the theory.en_US
dc.language.isoen_US
dc.publisherInstitute of Physicsen_US
dc.relation.isversionofhttp://dx.doi.org/10.1088/1126-6708/2009/04/009en_US
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.en_US
dc.sourceProf. Freedman via Michael Nogaen_US
dc.titleRecursion relations, generating functions, and unitarity sums in N=4 SYM theoryen_US
dc.typeArticleen_US
dc.identifier.citationHenriette Elvang, Daniel Z. Freedmana, and Michael Kiermaier. "Recursion relations, generating functions, and unitarity sums in N = 4 SYM theory." Journal of High Energy Physics, April 2009.en_US
dc.contributor.departmentMassachusetts Institute of Technology. Center for Theoretical Physicsen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mathematicsen_US
dc.contributor.approverFreedman, Daniel Z.
dc.contributor.mitauthorFreedman, Daniel Z.
dc.contributor.mitauthorKiermaier, Michael
dc.contributor.mitauthorElvang, Henriette
dc.relation.journalJournal of High Energy Physicsen_US
dc.eprint.versionAuthor's final manuscripten_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dspace.orderedauthorsElvang, Henriette; Freedman, Daniel Z; Kiermaier, Michaelen
dc.identifier.orcidhttps://orcid.org/0000-0001-8408-1941
mit.licensePUBLISHER_POLICYen_US
mit.metadata.statusComplete


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