Show simple item record

dc.contributor.authorHughes, Edward Fauchon
dc.identifier.citationHughes, E.F. 2017. CHY Formulae and Soft Theorems in N = 4 Super Yang-Mills Theory. Queen Mary University of Londonen_US
dc.description.abstractThe study of scattering amplitudes in quantum eld theories (QFTs) is equally important for high energy phenomenology and for theoretical understanding of fundamental physics. Over the last 15 years there has been an explosion of new techniques, inspired by Witten's celebrated twistor string theory [1]. The N = 4 super Yang-Mills theory (SYM) provides a playground for applying and extending these methods, heavily constrained by spacetime, internal and hidden symmetries. Recently, Cachazo, He and Yuan proposed an algebraic construction of scattering amplitudes at tree level in various QFTs, based on the solution of certain scattering equations [2]. This formula was later extended to tree-level form factors of Tr(F2 SD) in four dimensional Yang-Mills theory [3]. In this thesis we show how this result may be naturally supersymmetrised, and derived from a dual connected formulation. Moreover, we relate our results to a geometric construction of form factors via the Grassmannian [4]. Finally, we argue that ambitwistor string theory provides a natural way to lift the result to arbitrary dimensions, paving the way for loop-level results. In complementary work, it was shown that the subleading soft behaviour of tree-level amplitudes in gauge theory and gravity is universal [5{7]. This unexpected property is related to extended symmetries of the theory acting at null in nity. Moreover, the hidden structure provides additional information relevant for resummation of physical observables. In this thesis, we extend the known results to one-loop level in N = 4 SYM, arguing that IR divergences introduce anomaly terms through nite order in the regulator. We constrain these terms using dual superconformal symmetry, and derive explicit formulae in the MHV and NMHV sectors. This thesis contains documentation for two Mathematica packages, illustrating the original calculations we have performed.en_US
dc.description.sponsorshipSTFC studentship.en_US
dc.publisherQueen Mary University of Londonen_US
dc.rightsThe copyright of this thesis rests with the author and no quotation from it or information derived from it may be published without the prior written consent of the author
dc.subjectPhysics and Astronomyen_US
dc.subjectSuper Yang-Mills Theoryen_US
dc.titleCHY Formulae and Soft Theorems in N = 4 Super Yang-Mills Theoryen_US

Files in this item


This item appears in the following Collection(s)

  • Theses [2761]
    Theses Awarded by Queen Mary University of London

Show simple item record