Scattering Amplitudes

By Henriette Elvang, Yu-tin Huang. 2013

437 citations recorded by the source corpus.

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.

Subfields: Electrical and Electronic Engineering, Ocean Engineering, Spectroscopy

View Paper: https://www.semanticscholar.org/paper/435590772fdc54a632f51bf4e0dca0fb875ed207

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In Electrical and Electronic Engineering

1. F. Cachazo
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In Ocean Engineering

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Citations in the corpus

• Building a boostless bootstrap for the bispectrum (2020, background): “In much the same way that perturbative calculations in QFT obscure some of the structure and simplicity of scattering amplitudes [2, 3, 4], the standard in-in formalism employed to compute correlators in cosmology fails to take advantage of some powerful general properties of the final result.”
• The four-loop six-gluon NMHV ratio function (2015, background): “, the only quantity not determined by the MHV expression is P NMHV, which we compute. We represent the kinematic variables in terms of dual coordinates (x i; i). (For a full discussion see e.g. ref. [79].) The momenta k _ i = k i ˙ _ and supermomenta q A i are expressed in terms of the dual coordi”
• 2D Kac-Moody symmetry of 4D Yang-Mills theory (2015, background): “Corrections do not appear at the level of the integrands studied in the amplitudes program [31, 32, 38, 40] or in contexts requiring the soft limit to be taken prior to the removal of the IR regulator [31, 35, 38].”
• Evidence for a New Soft Graviton Theorem (2014, methodology): “The test is possible due to the deep progress in understanding these amplitudes and their properties which has evolved in recent years, for a recent review see [16].”