An analytic approach to the stress energy tensor in quantum field theory
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866915974616186880 |
|---|---|
| author | Strohmaier, Alexander |
| author_facet | Strohmaier, Alexander |
| contents | We discuss a framework for quantum fields in curved spacetimes that possess a stress energy tensor as a connection one form on a suitable moduli space of metrics. In generic spacetimes the existence of such a tensor is thought to be a replacement for the existence of symmetries that the Minkowski theory relies on. It is shown that the local time-slice property and the implementability of local isometries are consequences of the existence of a stress energy tensor that is a local field. We prove that the Klein-Gordon field, in an irreducible Fock representation determined by a quasifree Hadamard state, is an example. In this example we show that the scattering matrix for compactly supported metric perturbations exists in the Fock space and is smooth on a dense set with respect to the perturbation parameter. This generalises results by Dimock and Wald. As a tool we also establish the precise microlocal properties of parameter dependent fundamental solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_00487 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An analytic approach to the stress energy tensor in quantum field theory Strohmaier, Alexander Mathematical Physics High Energy Physics - Theory Analysis of PDEs 35S30, 81T20, 35A18, 35A08 We discuss a framework for quantum fields in curved spacetimes that possess a stress energy tensor as a connection one form on a suitable moduli space of metrics. In generic spacetimes the existence of such a tensor is thought to be a replacement for the existence of symmetries that the Minkowski theory relies on. It is shown that the local time-slice property and the implementability of local isometries are consequences of the existence of a stress energy tensor that is a local field. We prove that the Klein-Gordon field, in an irreducible Fock representation determined by a quasifree Hadamard state, is an example. In this example we show that the scattering matrix for compactly supported metric perturbations exists in the Fock space and is smooth on a dense set with respect to the perturbation parameter. This generalises results by Dimock and Wald. As a tool we also establish the precise microlocal properties of parameter dependent fundamental solutions. |
| title | An analytic approach to the stress energy tensor in quantum field theory |
| topic | Mathematical Physics High Energy Physics - Theory Analysis of PDEs 35S30, 81T20, 35A18, 35A08 |
| url | https://arxiv.org/abs/2508.00487 |