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

Physics

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