Radiative corrections to the dynamics of a tracer particle coupled to a Bose scalar field
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| Format: | Preprint |
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2024
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| _version_ | 1866909233677598720 |
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| author | Cárdenas, Esteban Mitrouskas, David |
| author_facet | Cárdenas, Esteban Mitrouskas, David |
| contents | We consider a tracer particle coupled to a Bose scalar field and study the regime where the field's propagation speed approaches infinity. For initial states devoid of field excitations, we introduce an effective approximation of the time-evolved wave function and prove its validity in Hilbert space norm. In this approximation, the field remains in the vacuum state while the tracer particle propagates with a modified dispersion relation. Physically, the new dispersion relation can be understood as the effect of radiative corrections due to interactions with virtual bosons. Mathematically, it is defined as the solution of a self-consistent equation, whose form depends on the relevant time scale. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2405_05251 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Radiative corrections to the dynamics of a tracer particle coupled to a Bose scalar field Cárdenas, Esteban Mitrouskas, David Mathematical Physics Analysis of PDEs 46N50 We consider a tracer particle coupled to a Bose scalar field and study the regime where the field's propagation speed approaches infinity. For initial states devoid of field excitations, we introduce an effective approximation of the time-evolved wave function and prove its validity in Hilbert space norm. In this approximation, the field remains in the vacuum state while the tracer particle propagates with a modified dispersion relation. Physically, the new dispersion relation can be understood as the effect of radiative corrections due to interactions with virtual bosons. Mathematically, it is defined as the solution of a self-consistent equation, whose form depends on the relevant time scale. |
| title | Radiative corrections to the dynamics of a tracer particle coupled to a Bose scalar field |
| topic | Mathematical Physics Analysis of PDEs 46N50 |
| url | https://arxiv.org/abs/2405.05251 |