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Anomalies for anomalous symmetries

Published version
Peer-reviewed

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Authors

Karasik, A 

Abstract

jats:titleAjats:scbstract</jats:sc> </jats:title>jats:p4d 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>

Description

Keywords

Regular Article - Theoretical Physics, Anomalies in Field and String Theories, Discrete Symmetries, Gauge Symmetry, Solitons Monopoles and Instantons

Journal Title

Journal of High Energy Physics

Conference Name

Journal ISSN

1029-8479
1029-8479

Volume Title

2022

Publisher

Springer Science and Business Media LLC