<p><p></p><p>This thesis proposes a new perspective on scattering amplitudes in quantum field theories. Their standard formulation in terms of sums over Feynman diagrams is replaced by a computation of geometric invariants, called intersection numbers, on moduli spaces of Riemann surfaces. It theref
Scattering Amplitudes and Wilson Loops in Twistor Space
โ Scribed by Mathew Richard Bullimore (auth.)
- Publisher
- Springer International Publishing
- Year
- 2014
- Tongue
- English
- Leaves
- 130
- Series
- Springer Theses
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
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.
โฆ Table of Contents
Front Matter....Pages i-xv
Introduction....Pages 1-6
Review....Pages 7-24
Amplitudes and MHV Diagrams....Pages 25-46
On-Shell Recursion....Pages 47-69
Wilson Loops....Pages 71-94
Anomalies....Pages 95-118
โฆ Subjects
Quantum Field Theories, String Theory;Mathematical Physics;Elementary Particles, Quantum Field Theory;Mathematical Applications in the Physical Sciences
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