The SAGEX Review on Scattering Amplitudes Chapter 1: Modern Fundamentals of Amplitudes

Brandhuber, Andreas; Plefka, Jan; Travaglini, Gabriele

doi:10.1088/1751-8121/ac8254

The SAGEX Review on Scattering Amplitudes Chapter 1: Modern Fundamentals of Amplitudes

Mar 24, 2022

55 pages

Published in:

J.Phys.A 55 (2022) 44, 443002

Published: Nov 30, 2022

e-Print:

2203.13012 [hep-th]

DOI:

10.1088/1751-8121/ac8254

Report number:

SAGEX-22-02,
HU-EP-22/06,
QMUL-PH-22-01

View in:

ADS Abstract Service

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Abstract: (IOP)

This chapter introduces the foundational concepts and techniques for scattering amplitudes. It is meant to be accessible to readers with only a basic understanding of quantum field theory. Topics covered include: the four-dimensional spinor-helicity formalism and the colour decomposition of Yang–Mills scattering amplitudes; the study of soft and collinear limits of Yang–Mills and gravity amplitudes; the BCFW recursion relation and generalised unitarity, also in the superamplitudes formalism of supersymmetric Yang–Mills; an overview of standard and hidden symmetries of the S-matrix of supersymmetric Yang–Mills, such as the conformal, dual conformal and Yangian symmetries; and a brief excursus on form factors of protected and non-protected operators in Yang–Mills theory. Several examples and explicit calculations are also provided.

Note:

56 pages, see also the overview article arXiv:2203.13011. v3: journal version

scattering amplitudes
quantum field theory
gravity
Yang-Mills: supersymmetry
scattering amplitude: Yang-Mills
dimension: 4
symmetry: Yangian
gauge field theory: Yang-Mills
conformal
gravitation

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Figures(20)

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