Scattering Amplitudes
Henriette Elvang, Yu-tin Huang
TL;DR
This review connects standard quantum field theory with recent advances in on-shell scattering amplitudes, covering foundational concepts and modern techniques across various theories and mathematical frameworks.
Contribution
It provides a comprehensive overview of recent developments in scattering amplitudes, integrating traditional QFT with modern on-shell methods and mathematical structures.
Findings
Introduces spinor helicity formalism and on-shell recursion relations.
Explores superamplitudes, twistors, and Grassmannian formulations.
Discusses amplitudes in supergravity and 3d Chern-Simons theories.
Abstract
The purpose of this review is to bridge the gap between a standard course in quantum field theory and recent fascinating developments in the studies of on-shell scattering amplitudes. We build up the subject from basic quantum field theory, starting with Feynman rules for simple processes in Yukawa theory and QED. The material covered includes spinor helicity formalism, on-shell recursion relations, superamplitudes and their symmetries, twistors and momentum twistors, loops and integrands, Grassmannians, polytopes, and amplitudes in perturbative supergravity as well as 3d Chern-Simons-matter theories. Multiple examples and exercises are included.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Quantum Chromodynamics and Particle Interactions · Particle physics theoretical and experimental studies