The effective gravitational action of a massless chiral fermion and the absence of parity-odd contributions
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866917538369110016 |
|---|---|
| author | Anero, J. Martin, Carmelo P. |
| author_facet | Anero, J. Martin, Carmelo P. |
| contents | We consider the field theory of a quantum massless left handed fermion coupled to a background graviton field, $h_{μν}$, on four-dimensional Minkowski spacetime. By using the BPHZL renormalization scheme, we prove that, up to order four in the number of graviton fields, there are no parity-odd contributions to the renormalized gravitational effective action. As a side result, we show that, modulo arbitrary UV finite diffeomorphism invariant parity-even counterterms, the gravitational effective action in question is equal, up to order four in the number of graviton fields, to half the corresponding gravitational action for a Dirac fermion non-chirally coupled to gravity. Also as a side result, we conclude the the Weyl anomaly is purely parity-even and that its value is half the value of the Weyl anomaly for a Dirac fermion non-chirally coupled to gravity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_28045 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The effective gravitational action of a massless chiral fermion and the absence of parity-odd contributions Anero, J. Martin, Carmelo P. High Energy Physics - Theory General Relativity and Quantum Cosmology We consider the field theory of a quantum massless left handed fermion coupled to a background graviton field, $h_{μν}$, on four-dimensional Minkowski spacetime. By using the BPHZL renormalization scheme, we prove that, up to order four in the number of graviton fields, there are no parity-odd contributions to the renormalized gravitational effective action. As a side result, we show that, modulo arbitrary UV finite diffeomorphism invariant parity-even counterterms, the gravitational effective action in question is equal, up to order four in the number of graviton fields, to half the corresponding gravitational action for a Dirac fermion non-chirally coupled to gravity. Also as a side result, we conclude the the Weyl anomaly is purely parity-even and that its value is half the value of the Weyl anomaly for a Dirac fermion non-chirally coupled to gravity. |
| title | The effective gravitational action of a massless chiral fermion and the absence of parity-odd contributions |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2605.28045 |