Scattering Amplitudes in Gauge Theories

  • Johannes M. Henn
  • Jan C. Plefka

Part of the Lecture Notes in Physics book series (LNP, volume 883)

Table of contents

  1. Front Matter
    Pages I-XV
  2. Johannes M. Henn, Jan C. Plefka
    Pages 1-33
  3. Johannes M. Henn, Jan C. Plefka
    Pages 35-80
  4. Johannes M. Henn, Jan C. Plefka
    Pages 81-145
  5. Johannes M. Henn, Jan C. Plefka
    Pages 147-169
  6. Back Matter
    Pages 171-195

About this book


At the fundamental level, the interactions of elementary particles are described by quantum gauge field theory. The quantitative implications of these interactions are captured by scattering amplitudes, traditionally computed using Feynman diagrams. In the past decade tremendous progress has been made in our understanding of and computational abilities with regard to scattering amplitudes in gauge theories, going beyond the traditional textbook approach. These advances build upon on-shell methods that focus on the analytic structure of the amplitudes, as well as on their recently discovered hidden symmetries. In fact, when expressed in suitable variables the amplitudes are much simpler than anticipated and hidden patterns emerge.


These modern methods are of increasing importance in phenomenological applications arising from the need for high-precision predictions for the experiments carried out at the Large Hadron Collider, as well as in foundational mathematical physics studies on the S-matrix in quantum field theory.


Bridging the gap between introductory courses on quantum field theory and state-of-the-art research, these concise yet self-contained and course-tested lecture notes are well-suited for a one-semester graduate level course or as a self-study guide for anyone interested in fundamental aspects of quantum field theory and its applications.

The numerous exercises and solutions included will help readers to embrace and apply the

material presented in the main text.


Colour-ordered Feynman rules Dual superconformal symmetries Gauge field theories Gauge theories text N=4 Super Yang-Mills theory Scattering amplitudes and Superamplitudes Wilson loops dual superconformal invariance

Authors and affiliations

  • Johannes M. Henn
    • 1
  • Jan C. Plefka
    • 2
  1. 1.Math.-Naturw. Fakultät IHumboldt-Universität zu BerlinBerlinGermany
  2. 2.Math.-Naturw. Fakultät IHumboldt-Universität zu BerlinBerlinGermany

Bibliographic information