Induced energy-momentum tensor of the scalar field in 3D de Sitter QED
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arXiv
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| Format: | Preprint |
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2025
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| author | Botshekananfard, Manizheh Hayashinaka, Takahiro |
| author_facet | Botshekananfard, Manizheh Hayashinaka, Takahiro |
| contents | In this work, we investigate the renormalized energy--momentum tensor of a quantized charged scalar field in three-dimensional de Sitter spacetime $\mathrm{dS}_{3}$ under the influence of a uniform electric field. Using the adiabatic regularization method, we systematically remove ultraviolet divergences and obtain explicit finite expressions for the components of the induced energy--momentum tensor. The numerical analysis demonstrates that the renormalized tensor behaves smoothly with respect to the parameters of the system and exhibits physically consistent limits in both the strong-field and infrared regimes. The induced energy density grows with the field strength and follows a quadratic behavior, which is consistent with the Schwinger mechanism in three dimension. In the opposite infrared regime, the tensor components display inverse-mass dependence, revealing infrared divergences typical of nearly massless scalar fields in curved space. Finally, we evaluate the trace of the renormalized tensor and show that for a massless, conformally coupled scalar field the trace anomaly vanishes, confirming the absence of a genuine Weyl anomaly in odd-dimensional spacetimes. These results provide a consistent and covariant description of quantum vacuum polarization and backreaction effects in three-dimensional de Sitter geometry. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_10864 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Induced energy-momentum tensor of the scalar field in 3D de Sitter QED Botshekananfard, Manizheh Hayashinaka, Takahiro High Energy Physics - Theory In this work, we investigate the renormalized energy--momentum tensor of a quantized charged scalar field in three-dimensional de Sitter spacetime $\mathrm{dS}_{3}$ under the influence of a uniform electric field. Using the adiabatic regularization method, we systematically remove ultraviolet divergences and obtain explicit finite expressions for the components of the induced energy--momentum tensor. The numerical analysis demonstrates that the renormalized tensor behaves smoothly with respect to the parameters of the system and exhibits physically consistent limits in both the strong-field and infrared regimes. The induced energy density grows with the field strength and follows a quadratic behavior, which is consistent with the Schwinger mechanism in three dimension. In the opposite infrared regime, the tensor components display inverse-mass dependence, revealing infrared divergences typical of nearly massless scalar fields in curved space. Finally, we evaluate the trace of the renormalized tensor and show that for a massless, conformally coupled scalar field the trace anomaly vanishes, confirming the absence of a genuine Weyl anomaly in odd-dimensional spacetimes. These results provide a consistent and covariant description of quantum vacuum polarization and backreaction effects in three-dimensional de Sitter geometry. |
| title | Induced energy-momentum tensor of the scalar field in 3D de Sitter QED |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.10864 |