Kramers-Krönig approach to the electric permittivity of the vacuum in a strong constant electric field
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866913954002894848 |
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| author | Taya, Hidetoshi Ironside, Charlie |
| author_facet | Taya, Hidetoshi Ironside, Charlie |
| contents | We study the electric permittivity of the QED vacuum in the presence of a strong constant electric field, motivated by the analogy between the dynamically-assisted Schwinger effect in strong-field QED and the Franz-Keldysh effect in semiconductor physics. We develop a linear-response theory based on the non-equilibrium in-in formalism and the Furry-picture perturbation theory, with which and also utilizing the Kramers-Krönig relation, we calculate the electric permittivity without assuming weak fields and low-frequency probes. We discover that the electric permittivity exhibits characteristic oscillating dependence on the probe frequency, which directly reflects the change of the QED-vacuum structure by the strong field. We also establish a quantitative correspondence between the electric permittivity and the number of electron-positron pairs produced by the dynamically-assisted Schwinger effect. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_11248 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Kramers-Krönig approach to the electric permittivity of the vacuum in a strong constant electric field Taya, Hidetoshi Ironside, Charlie High Energy Physics - Phenomenology High Energy Physics - Theory Optics We study the electric permittivity of the QED vacuum in the presence of a strong constant electric field, motivated by the analogy between the dynamically-assisted Schwinger effect in strong-field QED and the Franz-Keldysh effect in semiconductor physics. We develop a linear-response theory based on the non-equilibrium in-in formalism and the Furry-picture perturbation theory, with which and also utilizing the Kramers-Krönig relation, we calculate the electric permittivity without assuming weak fields and low-frequency probes. We discover that the electric permittivity exhibits characteristic oscillating dependence on the probe frequency, which directly reflects the change of the QED-vacuum structure by the strong field. We also establish a quantitative correspondence between the electric permittivity and the number of electron-positron pairs produced by the dynamically-assisted Schwinger effect. |
| title | Kramers-Krönig approach to the electric permittivity of the vacuum in a strong constant electric field |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory Optics |
| url | https://arxiv.org/abs/2308.11248 |