Geometrizing the anomaly
Abstract Recently a manifestly gauge invariant formalism for calculating amplitudes in quantum electrodynamics was outlined in which the field strength, rather than the gauge potential, is used as the propagating field. To demonstrate the utility of this formalism we calculate the axial and gauge an...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-08-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP08(2025)005 |
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| _version_ | 1849387946395828224 |
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| author | Joshua Newey John Terning Christopher B. Verhaaren |
| author_facet | Joshua Newey John Terning Christopher B. Verhaaren |
| author_sort | Joshua Newey |
| collection | DOAJ |
| description | Abstract Recently a manifestly gauge invariant formalism for calculating amplitudes in quantum electrodynamics was outlined in which the field strength, rather than the gauge potential, is used as the propagating field. To demonstrate the utility of this formalism we calculate the axial and gauge anomalies explicitly in theories with both electrically and magnetically charged particles. Usually the gauge anomaly is identified as an amplitude that (in certain theories) fails to be gauge invariant, so it seems particularly enlightening to understand it in a manifestly gauge invariant formalism. We find that the three photon amplitude is still anomalous in these same theories because it depends explicitly upon the choice of the Stokes surface needed to couple the field strength to sources, so the gauge anomaly arises from geometric considerations. |
| format | Article |
| id | doaj-art-cdb1727909af47b1ad1da04f80266fbd |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-cdb1727909af47b1ad1da04f80266fbd2025-08-20T03:42:26ZengSpringerOpenJournal of High Energy Physics1029-84792025-08-012025812010.1007/JHEP08(2025)005Geometrizing the anomalyJoshua Newey0John Terning1Christopher B. Verhaaren2Center for Quantum Mathematics and Physics (QMAP), Department of Physics, University of CaliforniaCenter for Quantum Mathematics and Physics (QMAP), Department of Physics, University of CaliforniaDepartment of Physics and Astronomy, Brigham Young UniversityAbstract Recently a manifestly gauge invariant formalism for calculating amplitudes in quantum electrodynamics was outlined in which the field strength, rather than the gauge potential, is used as the propagating field. To demonstrate the utility of this formalism we calculate the axial and gauge anomalies explicitly in theories with both electrically and magnetically charged particles. Usually the gauge anomaly is identified as an amplitude that (in certain theories) fails to be gauge invariant, so it seems particularly enlightening to understand it in a manifestly gauge invariant formalism. We find that the three photon amplitude is still anomalous in these same theories because it depends explicitly upon the choice of the Stokes surface needed to couple the field strength to sources, so the gauge anomaly arises from geometric considerations.https://doi.org/10.1007/JHEP08(2025)005Anomalies in Field and String TheoriesSolitons Monopoles and Instantons |
| spellingShingle | Joshua Newey John Terning Christopher B. Verhaaren Geometrizing the anomaly Journal of High Energy Physics Anomalies in Field and String Theories Solitons Monopoles and Instantons |
| title | Geometrizing the anomaly |
| title_full | Geometrizing the anomaly |
| title_fullStr | Geometrizing the anomaly |
| title_full_unstemmed | Geometrizing the anomaly |
| title_short | Geometrizing the anomaly |
| title_sort | geometrizing the anomaly |
| topic | Anomalies in Field and String Theories Solitons Monopoles and Instantons |
| url | https://doi.org/10.1007/JHEP08(2025)005 |
| work_keys_str_mv | AT joshuanewey geometrizingtheanomaly AT johnterning geometrizingtheanomaly AT christopherbverhaaren geometrizingtheanomaly |