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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.09021 |
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| _version_ | 1866916946163793920 |
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| author | Falcone, Riccardo Conti, Claudio |
| author_facet | Falcone, Riccardo Conti, Claudio |
| contents | We present an explicit, fully local Reeh-Schlieder approximation scheme for coherent states of a free scalar field. For any bounded region $\mathcal{U}$, we construct a one-parameter family of bounded operators $\hat{A}_ζ$ localized in the causal complement of $\mathcal{U}$. The action of $\hat{A}_ζ$ on the vacuum approximates the target coherent state in the limit $ζ\to 0$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_09021 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Reeh-Schlieder approximation for coherent states Falcone, Riccardo Conti, Claudio Mathematical Physics We present an explicit, fully local Reeh-Schlieder approximation scheme for coherent states of a free scalar field. For any bounded region $\mathcal{U}$, we construct a one-parameter family of bounded operators $\hat{A}_ζ$ localized in the causal complement of $\mathcal{U}$. The action of $\hat{A}_ζ$ on the vacuum approximates the target coherent state in the limit $ζ\to 0$. |
| title | Reeh-Schlieder approximation for coherent states |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2509.09021 |