Detector-based measurements for QFT: two issues and an AQFT proposal
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| author | Pranzini, Nicola Keski-Vakkuri, Esko |
| author_facet | Pranzini, Nicola Keski-Vakkuri, Esko |
| contents | We present and investigate two issues within the measurement scheme for QFT presented by J. Polo-Gómez, L. J. Garay and E. Martín-Martínez in "A detector-based measurement theory for quantum field theory". We point out some discrepancies that arise when the measurement scheme is applied to contextual field states and show that $n$-point function assignments based on local processing regions sometimes lead to inconsistencies. To solve these issues, we modify the measurement scheme to use non-relativistic detectors to induce an update rule for algebraic states in the Haag-Kastler formulation of quantum field theory. In this way, $n$-point functions can be consistently evaluated across any region having a definite causal relation with measurements. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_06596 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Detector-based measurements for QFT: two issues and an AQFT proposal Pranzini, Nicola Keski-Vakkuri, Esko Quantum Physics General Relativity and Quantum Cosmology High Energy Physics - Theory We present and investigate two issues within the measurement scheme for QFT presented by J. Polo-Gómez, L. J. Garay and E. Martín-Martínez in "A detector-based measurement theory for quantum field theory". We point out some discrepancies that arise when the measurement scheme is applied to contextual field states and show that $n$-point function assignments based on local processing regions sometimes lead to inconsistencies. To solve these issues, we modify the measurement scheme to use non-relativistic detectors to induce an update rule for algebraic states in the Haag-Kastler formulation of quantum field theory. In this way, $n$-point functions can be consistently evaluated across any region having a definite causal relation with measurements. |
| title | Detector-based measurements for QFT: two issues and an AQFT proposal |
| topic | Quantum Physics General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2310.06596 |