Model-independent results on parity violation in the trace anomaly
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| Format: | Preprint |
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2024
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| _version_ | 1866916464524525568 |
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| author | Larue, Rémy Quevillon, Jérémie Zwicky, Roman |
| author_facet | Larue, Rémy Quevillon, Jérémie Zwicky, Roman |
| contents | Anomalous parity violation in four dimensions would be significant for phenomenology (baryogenesis, gravitational waves) and mathematical physics. Over the past decade, there has been a controversy in the literature as to whether free Weyl fermions give rise to (anomalous) parity violation in the trace of the energy momentum tensor; expressed by the Pontryagin densities $R\tilde R$ and $F\tilde F$ in the gravity and the gauge sector respectively. In Ref.$^1$, we have shown, using path integral methods, that the trace anomaly of a free Weyl fermion does not violate parity (i.e the absence of the Pontryagin density). In a subsequent work$^2$ we came to the stronger conclusion that for any theory compatible with dimensional regularisation, the Pontryagin-terms are equally absent. It is the \textit{finiteness} of the diffeomorphism, the Lorentz and the gauge anomalies that prevents anomalous parity violation. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_00571 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Model-independent results on parity violation in the trace anomaly Larue, Rémy Quevillon, Jérémie Zwicky, Roman High Energy Physics - Theory High Energy Physics - Phenomenology Anomalous parity violation in four dimensions would be significant for phenomenology (baryogenesis, gravitational waves) and mathematical physics. Over the past decade, there has been a controversy in the literature as to whether free Weyl fermions give rise to (anomalous) parity violation in the trace of the energy momentum tensor; expressed by the Pontryagin densities $R\tilde R$ and $F\tilde F$ in the gravity and the gauge sector respectively. In Ref.$^1$, we have shown, using path integral methods, that the trace anomaly of a free Weyl fermion does not violate parity (i.e the absence of the Pontryagin density). In a subsequent work$^2$ we came to the stronger conclusion that for any theory compatible with dimensional regularisation, the Pontryagin-terms are equally absent. It is the \textit{finiteness} of the diffeomorphism, the Lorentz and the gauge anomalies that prevents anomalous parity violation. |
| title | Model-independent results on parity violation in the trace anomaly |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2411.00571 |