Editing Wilson loop (section)

===Scattering amplitudes===

Wilson loops play a role in the theory of [[scattering amplitude]]s where a set of dualities between them and special types of scattering amplitudes has been found.<ref>{{cite journal|last1=Alday|first1=L.F.|authorlink1=Luis Fernando Alday|last2=Radu|first2=R.|authorlink2=|date=2008|title=Scattering Amplitudes, Wilson Loops and the String/Gauge Theory Correspondence|url=|journal=Phys. Rep.|volume=468|issue=5|pages=153–211|doi=10.1016/j.physrep.2008.08.002|pmid=|arxiv=0807.1889|bibcode=2008PhR...468..153A |s2cid=119220578|access-date=}}</ref> These have first been suggested at strong coupling using the [[AdS/CFT correspondence]].<ref>{{cite journal|last1=Alday|first1=L.F.|authorlink1=Luis Fernando Alday|last2=Maldacena|first2=J.M.|authorlink2=Juan Martín Maldacena|date=2007|title=Gluon scattering amplitudes at strong coupling|url=|journal=JHEP|volume=6|issue=6|page=64|doi=10.1088/1126-6708/2007/06/064|pmid=|arxiv=0705.0303|bibcode=2007JHEP...06..064A |s2cid=10711473|access-date=}}</ref> For example, in <math>\mathcal N=4</math> [[N = 4 supersymmetric Yang–Mills theory|supersymmetric Yang–Mills theory]] [[MHV amplitudes|maximally helicity violating amplitudes]] factorize into a tree-level component and a loop level correction.<ref>{{cite book|last=Henn|first=J.M.|author-link=:de:Johannes Henn|date=2014|title=Scattering Amplitudes in Gauge Theories|url=|doi=|location=|publisher=Springer|chapter=4|pages=153–158|isbn=978-3642540219}}</ref> This loop level correction does not depend on the [[helicity (particle physics)|helicities]] of the particles, but it was found to be dual to certain polygonal Wilson loops in the large <math>N</math> limit, up to finite terms. While this duality was initially only suggested in the maximum helicity violating case, there are arguments that it can be extended to all helicity configurations by defining appropriate [[supersymmetry|supersymmetric]] generalizations of the Wilson loop.<ref>{{cite journal|last1=Caron-Huot|first1=S.|authorlink1=:de:Simon Caron-Huot|date=2011|title=Notes on the scattering amplitudes/Wilson loop duality|url=|journal=JHEP|volume=2011|issue=7|page=58|doi=10.1007/JHEP07(2011)058|pmid=|arxiv=1010.1167|bibcode=2011JHEP...07..058C |s2cid=118676335|access-date=}}</ref>