Jump to ContentJump to Main Navigation
Path Integrals and Quantum Anomalies$
Users without a subscription are not able to see the full content.

Kazuo Fujikawa and Hiroshi Suzuki

Print publication date: 2004

Print ISBN-13: 9780198529132

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198529132.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2019. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 14 November 2019

THE WEYL ANOMALY AND RENORMALIZATION GROUP

THE WEYL ANOMALY AND RENORMALIZATION GROUP

Chapter:
(p.123) 7 THE WEYL ANOMALY AND RENORMALIZATION GROUP
Source:
Path Integrals and Quantum Anomalies
Author(s):

Kazuo Fujikawa

Hiroshi Suzuki

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198529132.003.0007

This chapter discusses the quantum anomaly associated with the scale transformation of space-time coordinates, or the transformation generally called the Weyl transformation. In flat space-time, this anomaly is related to the renormalization group and the calculation of the $β$ function in the renormalization group equation is related to the calculation of the Weyl anomaly. In other words, the renormalization group equation is regarded as an expression of the Weyl anomaly in terms of Green’s functions. The calculation of the one-loop functions in QED and QCD by means of the Jacobians for the Weyl symmetry is illustrated. The Weyl anomalies in curved space-time are briefly explained. An improved finite energy-momentum tensor in renormalizable theory is also mentioned based on an analysis of the Weyl anomaly.

Keywords:   scale transformation, Weyl transformation, β function, renormalization group equation, curved space-time, improved energy-momentum tensor

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 .