Analytic states in quantum field theory on curved spacetimes
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866913204318240768 |
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| author | Strohmaier, Alexander Witten, Edward |
| author_facet | Strohmaier, Alexander Witten, Edward |
| contents | We discuss high energy properties of states for (possibly interacting) quantum fields in curved spacetimes. In particular, if the spacetime is real analytic, we show that an analogue of the timelike tube theorem and the Reeh-Schlieder property hold with respect to states satisfying a weak form of microlocal analyticity condition. The former means the von Neumann algebra of observables of a spacelike tube equals the von Neumann algebra of observables of a significantly bigger region, that is obtained by deforming the boundary of the tube in a timelike manner. This generalizes theorems by Borchers and Araki to curved spacetimes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_02709 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Analytic states in quantum field theory on curved spacetimes Strohmaier, Alexander Witten, Edward Mathematical Physics High Energy Physics - Theory Analysis of PDEs 81T05, 81T20, 58J15 We discuss high energy properties of states for (possibly interacting) quantum fields in curved spacetimes. In particular, if the spacetime is real analytic, we show that an analogue of the timelike tube theorem and the Reeh-Schlieder property hold with respect to states satisfying a weak form of microlocal analyticity condition. The former means the von Neumann algebra of observables of a spacelike tube equals the von Neumann algebra of observables of a significantly bigger region, that is obtained by deforming the boundary of the tube in a timelike manner. This generalizes theorems by Borchers and Araki to curved spacetimes. |
| title | Analytic states in quantum field theory on curved spacetimes |
| topic | Mathematical Physics High Energy Physics - Theory Analysis of PDEs 81T05, 81T20, 58J15 |
| url | https://arxiv.org/abs/2302.02709 |