The stress-energy tensor of an Unruh-DeWitt detector
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866908348318744576 |
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| author | Perche, T. Rick Pitelli, J. P. M. Vanzella, Daniel A. T. |
| author_facet | Perche, T. Rick Pitelli, J. P. M. Vanzella, Daniel A. T. |
| contents | We propose a model for a finite-size particle detector, which allows us to derive its stress-energy tensor. This tensor is obtained from a covariant Lagrangian that describes not only the quantum field that models the detector, $ϕ_{\text{d}}$, but also the systems responsible for its localization: a complex scalar field, $ψ_{\text{c}}$, and a perfect fluid. The local interaction between the detector and the complex field ensures the square integrability of the detector modes, while the fluid serves to define the spatial profile of $ψ_{\text{c}}$, localizing it in space. We then demonstrate that, under very general conditions, the resulting energy tensor -- incorporating all components of the system -- is physically reasonable and satisfies the energy conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_09732 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The stress-energy tensor of an Unruh-DeWitt detector Perche, T. Rick Pitelli, J. P. M. Vanzella, Daniel A. T. Quantum Physics General Relativity and Quantum Cosmology High Energy Physics - Theory We propose a model for a finite-size particle detector, which allows us to derive its stress-energy tensor. This tensor is obtained from a covariant Lagrangian that describes not only the quantum field that models the detector, $ϕ_{\text{d}}$, but also the systems responsible for its localization: a complex scalar field, $ψ_{\text{c}}$, and a perfect fluid. The local interaction between the detector and the complex field ensures the square integrability of the detector modes, while the fluid serves to define the spatial profile of $ψ_{\text{c}}$, localizing it in space. We then demonstrate that, under very general conditions, the resulting energy tensor -- incorporating all components of the system -- is physically reasonable and satisfies the energy conditions. |
| title | The stress-energy tensor of an Unruh-DeWitt detector |
| topic | Quantum Physics General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2411.09732 |