Axial anomaly in the presence of arbitrary spinor interactions
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866929719861051392 |
|---|---|
| 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 |