QED and QCD

Yannick Ulrich Department of Mathematical Sciences
University of Liverpool

version 3c1052a

Abstract

This course gives an introduction to the ingredients of gauge theories which are necessary to calculate cross sections for particular processes. This course runs in parallel with the Quantum Field Theory course, from which we will use some results. Some topics mentioned in this course will be covered in more detail in the Standard Model and Phenomenology courses next week.

These notes are intended to be self-contained, but provide just a short introduction to a complex and fascinating topic. You can find a reading list of other books at the end of these notes. If there are other textbooks which you find particularly helpful, please tell me and I will update the list.

You can find these materials on https://stfc.yannickulrich.com/notes. Please let me know if you have any comments, questions or corrections either at https://gitlab.com/yannickulrich/stfc/-/issues or via email yannick.ulrich@liverpool.ac.uk.

This work is licensed under a Creative Commons Attribution 4.0 International License.

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KG
Klein-Gordon
LIPS
Lorentz-invariant phase space
LO
leading order
NLO
next-to-leading order
NNLO
next-to-next-to-leading order
N3LO
next-to-next-to-next-to-leading order
MS
minimal subtraction
MS¯\overline{\rm MS}
modified minimal subtraction
QM
quantum mechanics
QED
quantum electrodynamics
QCD
quantum chromodynamics
QFT
quantum field theory
OS
on-shell
UV
ultraviolet
vev
vacuum expectation value