Jump to ContentJump to Main Navigation
Quantum Field Theory and Critical Phenomena$
Users without a subscription are not able to see the full content.

Jean Zinn-Justin

Print publication date: 2002

Print ISBN-13: 9780198509233

Published to Oxford Scholarship Online: January 2010

DOI: 10.1093/acprof:oso/9780198509233.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2019. All Rights Reserved. Under the terms of the licence agreement, an individual user may print out a PDF of a single chapter of a monograph in OSO for personal use (for details see www.oxfordscholarship.com/page/privacy-policy).date: 19 June 2019

Non-Abelian Gauge Theories: Introduction

Non-Abelian Gauge Theories: Introduction

Chapter:
(p.487) 19 NON-ABELIAN GAUGE THEORIES: INTRODUCTION
Source:
Quantum Field Theory and Critical Phenomena
Author(s):

JEAN ZINN-JUSTIN

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198509233.003.0019

This chapter constructs a field theory invariant under local, that is, space-dependent, transformations of a general compact Lie group G. Inspired by the abelian example of Chapter 18, it introduces the geometric concept of parallel transport — a concept discussed more extensively in Chapter 22 in the example of Riemannian manifolds. All the required mathematical quantities then appear quite naturally. It quantizes gauge theories and studies some of the formal properties of the quantum theory like the BRS symmetry. The chapter shows how perturbation theory can be regularized, a somewhat non-trivial problem. Finally, it discusses general aspects of the Higgs mechanism.

Keywords:   field theory, Lie group, parallel transport, perturbation theory, Higgs mechanism

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .