Relationship between Fujikawa’s Method and the Background Field Method for the Scale Anomaly
Joint Authors
Lin, Chris L.
Ordóñez, Carlos R.
Source
Advances in High Energy Physics
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-03-17
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We show the equivalence between Fujikawa’s method for calculating the scale anomaly and the diagrammatic approach to calculating the effective potential via the background field method, for an O(N) symmetric scalar field theory.
Fujikawa’s method leads to a sum of terms, each one superficially in one-to-one correspondence with a vacuum diagram of the 1-loop expansion.
From the viewpoint of the classical action, the anomaly results in a breakdown of the Ward identities due to scale-dependence of the couplings, whereas, in terms of the effective action, the anomaly is the result of the breakdown of Noether’s theorem due to explicit symmetry breaking terms of the effective potential.
American Psychological Association (APA)
Lin, Chris L.& Ordóñez, Carlos R.. 2016. Relationship between Fujikawa’s Method and the Background Field Method for the Scale Anomaly. Advances in High Energy Physics،Vol. 2016, no. 2016, pp.1-6.
https://search.emarefa.net/detail/BIM-1095167
Modern Language Association (MLA)
Lin, Chris L.& Ordóñez, Carlos R.. Relationship between Fujikawa’s Method and the Background Field Method for the Scale Anomaly. Advances in High Energy Physics No. 2016 (2016), pp.1-6.
https://search.emarefa.net/detail/BIM-1095167
American Medical Association (AMA)
Lin, Chris L.& Ordóñez, Carlos R.. Relationship between Fujikawa’s Method and the Background Field Method for the Scale Anomaly. Advances in High Energy Physics. 2016. Vol. 2016, no. 2016, pp.1-6.
https://search.emarefa.net/detail/BIM-1095167
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1095167