Time-Ordering in the Dyson-Unruh Problem: Accelerated Observers and Quantum Fields
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916723303645184 |
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| author | Azizi, Arash |
| author_facet | Azizi, Arash |
| contents | We investigate the structure of time-ordered perturbative expansions in quantum field theory (QFT) in curved spacetime, focusing on the interaction between a scalar field and multiple Unruh-DeWitt detectors undergoing uniform acceleration. Assuming the existence of a timelike Killing vector field, which serves as a global time coordinate, we express each detector's proper time in terms of this global time and consistently implement time-ordering in the Dyson series. Using light-cone coordinates and detector worldlines, we construct all possible interaction terms for two detectors at first, second, and third orders in perturbation theory. Our formalism enables a systematic classification of contributions to the S-matrix, resolving ordering ambiguities that arise due to differing accelerations and causal structure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_02840 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Time-Ordering in the Dyson-Unruh Problem: Accelerated Observers and Quantum Fields Azizi, Arash High Energy Physics - Theory We investigate the structure of time-ordered perturbative expansions in quantum field theory (QFT) in curved spacetime, focusing on the interaction between a scalar field and multiple Unruh-DeWitt detectors undergoing uniform acceleration. Assuming the existence of a timelike Killing vector field, which serves as a global time coordinate, we express each detector's proper time in terms of this global time and consistently implement time-ordering in the Dyson series. Using light-cone coordinates and detector worldlines, we construct all possible interaction terms for two detectors at first, second, and third orders in perturbation theory. Our formalism enables a systematic classification of contributions to the S-matrix, resolving ordering ambiguities that arise due to differing accelerations and causal structure. |
| title | Time-Ordering in the Dyson-Unruh Problem: Accelerated Observers and Quantum Fields |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2505.02840 |