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Anomalies From the Covariant Derivative Expansion
We revisit the calculation of chiral anomalies for global and gauge symmetries in the framework of the covariant derivative expansion (CDE). Due to the presence of UV divergences, the result is an ambiguous quantity that depends on the regularization procedure and the renormalization scheme. We intr...
| Autores principales: | , , |
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| Lenguaje: | eng |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | https://dx.doi.org/10.1103/PhysRevD.107.116015 http://cds.cern.ch/record/2845456 |
| _version_ | 1780976551682113536 |
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| author | Cohen, Timothy Lu, Xiaochuan Zhang, Zhengkang |
| author_facet | Cohen, Timothy Lu, Xiaochuan Zhang, Zhengkang |
| author_sort | Cohen, Timothy |
| collection | CERN |
| description | We revisit the calculation of chiral anomalies for global and gauge symmetries in the framework of the covariant derivative expansion (CDE). Due to the presence of UV divergences, the result is an ambiguous quantity that depends on the regularization procedure and the renormalization scheme. We introduce a class of regulators that facilitate a straightforward evaluation of the anomaly exclusively in <math display="inline"><mi>d</mi><mo>=</mo><mn>4</mn></math> spacetime dimensions using the CDE methodology. We derive a master formula for the anomaly that integrates various known results into a unified framework. |
| id | cern-2845456 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2023 |
| record_format | invenio |
| spelling | cern-28454562023-07-24T03:06:49Zdoi:10.1103/PhysRevD.107.116015http://cds.cern.ch/record/2845456engCohen, TimothyLu, XiaochuanZhang, ZhengkangAnomalies From the Covariant Derivative Expansionhep-thParticle Physics - Theoryhep-phParticle Physics - PhenomenologyWe revisit the calculation of chiral anomalies for global and gauge symmetries in the framework of the covariant derivative expansion (CDE). Due to the presence of UV divergences, the result is an ambiguous quantity that depends on the regularization procedure and the renormalization scheme. We introduce a class of regulators that facilitate a straightforward evaluation of the anomaly exclusively in <math display="inline"><mi>d</mi><mo>=</mo><mn>4</mn></math> spacetime dimensions using the CDE methodology. We derive a master formula for the anomaly that integrates various known results into a unified framework.We revisit the calculation of anomalies for global and gauge symmetries in the framework of the Covariant Derivative Expansion (CDE). Due to the presence of UV divergences, the result is an ambiguous quantity that depends on the regularization procedure and the renormalization scheme. We introduce a class of regulators that facilitate a straightforward evaluation of the anomaly exclusively in $d=4$ spacetime dimensions using the CDE methodology. We derive a master formula for the anomaly that integrates various known results into a unified framework.arXiv:2301.00821CERN-TH-2023-001oai:cds.cern.ch:28454562023-01-02 |
| spellingShingle | hep-th Particle Physics - Theory hep-ph Particle Physics - Phenomenology Cohen, Timothy Lu, Xiaochuan Zhang, Zhengkang Anomalies From the Covariant Derivative Expansion |
| title | Anomalies From the Covariant Derivative Expansion |
| title_full | Anomalies From the Covariant Derivative Expansion |
| title_fullStr | Anomalies From the Covariant Derivative Expansion |
| title_full_unstemmed | Anomalies From the Covariant Derivative Expansion |
| title_short | Anomalies From the Covariant Derivative Expansion |
| title_sort | anomalies from the covariant derivative expansion |
| topic | hep-th Particle Physics - Theory hep-ph Particle Physics - Phenomenology |
| url | https://dx.doi.org/10.1103/PhysRevD.107.116015 http://cds.cern.ch/record/2845456 |
| work_keys_str_mv | AT cohentimothy anomaliesfromthecovariantderivativeexpansion AT luxiaochuan anomaliesfromthecovariantderivativeexpansion AT zhangzhengkang anomaliesfromthecovariantderivativeexpansion |