Scattering Amplitudes and Wilson Loops in Twistor Space [Paperback]

Scattering amplitudes are fundamental and rich observables in quantum field theory. Based on the observation that, for massless particles of spin-one or more, scattering amplitudes are much simpler than expected from traditional Feynman diagram techniques, the broad aim of this work is to understand and exploit this hidden structure. It uses methods from twistor theory to provide new insights into the correspondence between scattering amplitudes in supersymmetric Yang-Mills theory and null polygonal Wilson loops. By additionally exploiting the symmetries of the problem, the author succeeds in developing new ways of computing scattering amplitudes.Based on the observation that, for massless particles of spin-one or more, scattering amplitudes are much simpler than expected from traditional Feynman diagram techniques, this book aims broadly to understand and exploit this heretofore hidden structure.Introduction.- Review.- Amplitudes and MHV Diagrams.- On-Shell Recursion.- Wilson Loops.- Anomalies.- Bibliography.Scattering amplitudes are fundamental and rich observables in quantum field theory. Based on the observation that, for massless particles of spin-one or more, scattering amplitudes are much simpler than expected from traditional Feynman diagram techniques, the broad aim of this work is to understand and exploit this hidden structure. It uses methods from twistor theory to provide new insights into the correspondence between scattering amplitudes in supersymmetric Yang-Mills theory and null polygonal Wilson loops. By additionally exploiting the symmetries of the problem, the author succeeds in developing new ways of computing scattering amplitudes.

Nominated as an outstanding Ph.D. thesis by the University of Oxford, UK

A coherent presentation of new developments in the twistor theory approach to scattering amplitudes, not available elsewhere in the literature

Includes a clear introduction to the necessary mathematicall“$