Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
Hostname: page-component-78c5997874-ndw9j Total loading time: 0 Render date: 2024-11-14T19:45:29.119Z Has data issue: false hasContentIssue false

3 - Non-Abelian Fields

Published online by Cambridge University Press:  13 August 2021

François Gelis
François Gelis
Affiliation:
Commissariat à l'Energie Atomique (CEA), Saclay
Get access

Summary

After having explored various basic aspects of quantum field theory in Chapter 1 and functional methods in Chapter 2, we now turn to non-Abelian gauge theories (mostly with an SU(N) gauge group). The problems in this chapter explore various mathematical questions relevant for non-Abelian gauge theories (in particular, manipulations of su(N) generators), some questions related to their perturbative expansion, as well as some non-perturbative ones, in particular in connection with the rich structure of ground states in Yang–Mills theory.

Keywords

Lie group and algebraYang–Mills theoryquantum chromodynamicsFadeev–Popov ghostsBecchi–Rouet–Stora–Tyutin symmetryWilson lineinstanton
Type
Chapter
Information
Problems in Quantum Field Theory
With Fully-Worked Solutions
 , pp. 130 - 204
Publisher: Cambridge University Press
Print publication year: 2021

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

  • Non-Abelian Fields
  • François Gelis, Commissariat à l'Energie Atomique (CEA), Saclay
  • Book: Problems in Quantum Field Theory
  • Online publication: 13 August 2021
  • Chapter DOI: https://doi.org/10.1017/9781108976688.006
Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

  • Non-Abelian Fields
  • François Gelis, Commissariat à l'Energie Atomique (CEA), Saclay
  • Book: Problems in Quantum Field Theory
  • Online publication: 13 August 2021
  • Chapter DOI: https://doi.org/10.1017/9781108976688.006
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Non-Abelian Fields
  • François Gelis, Commissariat à l'Energie Atomique (CEA), Saclay
  • Book: Problems in Quantum Field Theory
  • Online publication: 13 August 2021
  • Chapter DOI: https://doi.org/10.1017/9781108976688.006
Available formats
×