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dc.contributor.authorFerro, Livia
dc.contributor.authorLukowski, Tomasz
dc.contributor.authorStaudacher, Matthias
dc.date.accessioned2018-10-18T01:10:19Z
dc.date.available2018-10-18T01:10:19Z
dc.date.issued2014-12-01
dc.identifier.citationFerro , L , Lukowski , T & Staudacher , M 2014 , ' N=4 Scattering Amplitudes and the Deformed Grassmannian ' , Nucl.Phys.B . https://doi.org/10.1016/j.nuclphysb.2014.10.012
dc.identifier.otherPURE: 15512717
dc.identifier.otherPURE UUID: 11f46133-10f3-4f56-97cd-f7bc6984b80b
dc.identifier.otherArXiv: http://arxiv.org/abs/1407.6736v1
dc.identifier.otherScopus: 84908451385
dc.identifier.otherORCID: /0000-0002-4159-3573/work/52604730
dc.identifier.otherORCID: /0000-0001-9933-0584/work/62751264
dc.identifier.urihttp://hdl.handle.net/2299/20732
dc.description15 pages
dc.description.abstractSome time ago the general tree-level scattering amplitudes of N=4 Super Yang-Mills theory were expressed as certain Grassmannian contour integrals. These remarkable formulas allow to clearly expose the super-conformal, dual super-conformal, and Yangian symmetries of the amplitudes. Using ideas from integrability it was recently shown that the building blocks of the amplitudes permit a natural multi-parameter deformation. However, this approach had been criticized by the observation that it seemed impossible to reassemble the building blocks into Yangian-invariant deformed non-MHV amplitudes. In this note we demonstrate that the deformations may be succinctly summarized by a simple modification of the measure of the Grassmannian integrals, leading to a Yangian-invariant deformation of the general tree-level amplitudes. Interestingly, the deformed building-blocks appear as residues of poles in the spectral parameter planes. Given that the contour integrals also contain information on the amplitudes at loop-level, we expect the deformations to be useful there as well. In particular, applying meromorphicity arguments, they may be expected to regulate all notorious infrared divergences. We also point out relations to Gelfand hypergeometric functions and the quantum Knizhnik-Zamolodchikov equations.en
dc.language.isoeng
dc.relation.ispartofNucl.Phys.B
dc.rightsOpen
dc.subjecthep-th
dc.titleN=4 Scattering Amplitudes and the Deformed Grassmannianen
dc.contributor.institutionSchool of Physics, Astronomy and Mathematics
dc.contributor.institutionMathematics Research Group
dc.description.statusPeer reviewed
dc.relation.schoolSchool of Physics, Astronomy and Mathematics
dc.description.versiontypeFinal Published version
dcterms.dateAccepted2014-12-01
rioxxterms.versionVoR
rioxxterms.versionofrecordhttps://doi.org/10.1016/j.nuclphysb.2014.10.012
rioxxterms.licenseref.urihttp://creativecommons.org/licenses/by/4.0/
rioxxterms.typeJournal Article/Review
herts.preservation.rarelyaccessedtrue
herts.rights.accesstypeOpen


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