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: 20 May 2019

Unstable Vacua In Quantum Field Theory

Unstable Vacua In Quantum Field Theory

Chapter:
(p.956) 40 UNSTABLE VACUA IN QUANTUM FIELD THEORY
Source:
Quantum Field Theory and Critical Phenomena
Author(s):

JEAN ZINN-JUSTIN

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198509233.003.0040

This chapter begins with a semi-classical study of barrier penetration in quantum field theory, generalizing the methods explained in quantum mechanics. It has been shown that in quantum mechanics barrier penetration is associated with classical motion in imaginary time; it is thus natural here to consider quantum field theory in its euclidean formulation. In the functional representation of field theory barrier penetration in the semi-classical limit is also related to finite action solutions (instantons) of the classical field equations. The chapter first tries to characterize such solutions. It then explains how to evaluate the instanton contributions at leading order, the main new problem arising from UV divergences.

Keywords:   quantum field theory, barrier penetration, instantons

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 .