Anomalies for anomalous symmetries
Authors
Karasik, A
Publication Date
2022-02-09Journal Title
Journal of High Energy Physics
ISSN
1029-8479
Publisher
Springer Science and Business Media LLC
Volume
2022
Issue
2
Language
en
Type
Article
This Version
VoR
Metadata
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Karasik, A. (2022). Anomalies for anomalous symmetries. Journal of High Energy Physics, 2022 (2) https://doi.org/10.1007/JHEP02(2022)064
Abstract
<jats:title>A<jats:sc>bstract</jats:sc>
</jats:title><jats:p>4d gauge theories with massless fermions typically have axial U(1) transformations that suffer from the ABJ anomaly. One can modify the theory of interest by adding more fields in a way that restores the axial symmetry, and use it to derive rigorous ’t Hooft anomaly matching conditions. These conditions are not valid for the original theory of interest, but for the modified theory. We show that the modification can be done in a specific way that allows us to relate the dynamics of the modified theory to the dynamics of the original theory. In this way, the anomaly matching conditions of the modified theory can be used to learn new things on the original theory even though they involve axial transformations which are not a symmetry of the original theory. We describe this method and discuss some applications to various examples.</jats:p>
Keywords
Regular Article - Theoretical Physics, Anomalies in Field and String Theories, Discrete Symmetries, Gauge Symmetry, Solitons Monopoles and Instantons
Identifiers
jhep02(2022)064, 17749
External DOI: https://doi.org/10.1007/JHEP02(2022)064
This record's URL: https://www.repository.cam.ac.uk/handle/1810/333852
Rights
Licence:
http://creativecommons.org/licenses/by/4.0/
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