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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.17507 |
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| _version_ | 1866908722408718336 |
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| author | Furtado, C. Nascimento, J. R. Petrov, A. Yu. Porfirio, P. |
| author_facet | Furtado, C. Nascimento, J. R. Petrov, A. Yu. Porfirio, P. |
| contents | In this paper, we explicitly obtain the nonrelativistic Breit potential in the bumblebee model arising in the weak gravity limit of the metric-affine bumblebee gravity, coupled to the spinor matter. In this theory, in the lower (second) order in the small coupling constant $ξ$ (and the second order in the LV vector $β_μ$) it demonstrates the $1/r$ asymptotics, which naturally corresponds to the massless character of the theory, while higher orders in $ξ$ yield anisotropic modifications of the Coulomb potential due to the Lorentz symmetry breaking. For the lower-order modification of the effective potential, we calculate LV corrections to energy levels of the hydrogen atom. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_17507 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nonrelativistic effective potential of the bumblebee model Furtado, C. Nascimento, J. R. Petrov, A. Yu. Porfirio, P. High Energy Physics - Theory In this paper, we explicitly obtain the nonrelativistic Breit potential in the bumblebee model arising in the weak gravity limit of the metric-affine bumblebee gravity, coupled to the spinor matter. In this theory, in the lower (second) order in the small coupling constant $ξ$ (and the second order in the LV vector $β_μ$) it demonstrates the $1/r$ asymptotics, which naturally corresponds to the massless character of the theory, while higher orders in $ξ$ yield anisotropic modifications of the Coulomb potential due to the Lorentz symmetry breaking. For the lower-order modification of the effective potential, we calculate LV corrections to energy levels of the hydrogen atom. |
| title | Nonrelativistic effective potential of the bumblebee model |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.17507 |