Scale limited fields and the Casimir effect
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866910494814633984 |
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| author | Vedl, Šimon George, Daniel J. Brennen, Gavin K. |
| author_facet | Vedl, Šimon George, Daniel J. Brennen, Gavin K. |
| contents | We revisit the calculation of the Casimir effect from the perspective of scale limited resolutions of quantum fields. We use the continuous wavelet transform to introduce a scale degree of freedom and then restrict it to simulate either an observational or fundamental limitation of resolution. The Casimir force is derived in this setting for a free complex massless scalar field between two infinite plates with both Dirichlet and periodic boundary conditions. The dependence of the force on the choice of wavelet and size of scale cutoff is extensively discussed for several examples of wavelets. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_04089 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Scale limited fields and the Casimir effect Vedl, Šimon George, Daniel J. Brennen, Gavin K. Quantum Physics High Energy Physics - Theory We revisit the calculation of the Casimir effect from the perspective of scale limited resolutions of quantum fields. We use the continuous wavelet transform to introduce a scale degree of freedom and then restrict it to simulate either an observational or fundamental limitation of resolution. The Casimir force is derived in this setting for a free complex massless scalar field between two infinite plates with both Dirichlet and periodic boundary conditions. The dependence of the force on the choice of wavelet and size of scale cutoff is extensively discussed for several examples of wavelets. |
| title | Scale limited fields and the Casimir effect |
| topic | Quantum Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2310.04089 |