Anomalies for anomalous symmetries
Abstract 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. The...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-02-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP02(2022)064 |
| _version_ | 1819274297506529280 |
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| author | Avner Karasik |
| author_facet | Avner Karasik |
| author_sort | Avner Karasik |
| collection | DOAJ |
| description | Abstract 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. |
| first_indexed | 2024-12-23T23:06:12Z |
| format | Article |
| id | doaj.art-6d141207e79c4ba08b0bccb6dbf4d96f |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-23T23:06:12Z |
| publishDate | 2022-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-6d141207e79c4ba08b0bccb6dbf4d96f2022-12-21T17:26:48ZengSpringerOpenJournal of High Energy Physics1029-84792022-02-012022213910.1007/JHEP02(2022)064Anomalies for anomalous symmetriesAvner Karasik0Department of Applied Mathematics and Theoretical Physics, University of CambridgeAbstract 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.https://doi.org/10.1007/JHEP02(2022)064Anomalies in Field and String TheoriesDiscrete SymmetriesGauge SymmetrySolitons Monopoles and Instantons |
| spellingShingle | Avner Karasik Anomalies for anomalous symmetries Journal of High Energy Physics Anomalies in Field and String Theories Discrete Symmetries Gauge Symmetry Solitons Monopoles and Instantons |
| title | Anomalies for anomalous symmetries |
| title_full | Anomalies for anomalous symmetries |
| title_fullStr | Anomalies for anomalous symmetries |
| title_full_unstemmed | Anomalies for anomalous symmetries |
| title_short | Anomalies for anomalous symmetries |
| title_sort | anomalies for anomalous symmetries |
| topic | Anomalies in Field and String Theories Discrete Symmetries Gauge Symmetry Solitons Monopoles and Instantons |
| url | https://doi.org/10.1007/JHEP02(2022)064 |
| work_keys_str_mv | AT avnerkarasik anomaliesforanomaloussymmetries |