The Weyl anomaly in interacting quantum field theory on curved spacetimes
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866908646303072256 |
|---|---|
| author | Fröb, Markus B. Zahn, Jochen |
| author_facet | Fröb, Markus B. Zahn, Jochen |
| contents | We define the notion of Weyl anomalies, measuring the violation of local scale invariance, in interacting quantum field theory on curved spacetimes in the framework of locally covariant field theory. We discuss some general properties of Weyl anomalies, such as their relation to the trace anomaly. We give a criterion for a theory to be conformal at the quantum level, and show that even for a conformal theory Weyl transformations in general obtain quantum corrections. We study the trace anomaly in detail for the $ϕ^4$ theory, in particular determining it up to second order in the interaction. We also show that at third order in the interaction a potential $\Box ϕ^2$ term can be removed by finite renormalization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_17854 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Weyl anomaly in interacting quantum field theory on curved spacetimes Fröb, Markus B. Zahn, Jochen High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics We define the notion of Weyl anomalies, measuring the violation of local scale invariance, in interacting quantum field theory on curved spacetimes in the framework of locally covariant field theory. We discuss some general properties of Weyl anomalies, such as their relation to the trace anomaly. We give a criterion for a theory to be conformal at the quantum level, and show that even for a conformal theory Weyl transformations in general obtain quantum corrections. We study the trace anomaly in detail for the $ϕ^4$ theory, in particular determining it up to second order in the interaction. We also show that at third order in the interaction a potential $\Box ϕ^2$ term can be removed by finite renormalization. |
| title | The Weyl anomaly in interacting quantum field theory on curved spacetimes |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics |
| url | https://arxiv.org/abs/2504.17854 |