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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.19592 |
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| _version_ | 1866929719861051392 |
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| author | Dereziński, Jan Latosiński, Adam |
| author_facet | Dereziński, Jan Latosiński, Adam |
| contents | We consider N Dirac fermions on a 4-dimensional Euclidean space with a quadratic interaction given by arbitrary external Clifford-valued fields. The divergence of the axial current satisfies on the classical level a relation that is violated after quantization. Using the Pauli-Villars method to regularize the fields, we find the conditions that guarantee the finiteness of the anomaly. We also find this anomaly. Our result generalizes the well-known computation of axial anomaly of Dirac fermions interacting with an external Yang-Mills field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_19592 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Axial anomaly in the presence of arbitrary spinor interactions Dereziński, Jan Latosiński, Adam High Energy Physics - Theory We consider N Dirac fermions on a 4-dimensional Euclidean space with a quadratic interaction given by arbitrary external Clifford-valued fields. The divergence of the axial current satisfies on the classical level a relation that is violated after quantization. Using the Pauli-Villars method to regularize the fields, we find the conditions that guarantee the finiteness of the anomaly. We also find this anomaly. Our result generalizes the well-known computation of axial anomaly of Dirac fermions interacting with an external Yang-Mills field. |
| title | Axial anomaly in the presence of arbitrary spinor interactions |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2411.19592 |