Perturbation theory of rotating scalar fields and vacuum insensitivity to rotation
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911364855889920 |
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| author | Kuboniwa, Ryo Mameda, Kazuya |
| author_facet | Kuboniwa, Ryo Mameda, Kazuya |
| contents | We formulate the finite-temperature perturbation theory of interacting scalar fields under external rotation. Because of the translational non-invariance in the radial direction, Green's functions are described using the Fourier-Bessel basis, instead of the conventional Fourier basis. We derive the leading-order correction to the partition function and the one-loop self-energy. The Feynman rules obtained in our perturbation theory shows that due to the finite-size effect required by the causality constraint, the zero-temperature thermodynamics in the perturbation theory is unaffected by rotation, similarly to that in the noninteracting theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_04712 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Perturbation theory of rotating scalar fields and vacuum insensitivity to rotation Kuboniwa, Ryo Mameda, Kazuya High Energy Physics - Theory High Energy Physics - Phenomenology Nuclear Theory We formulate the finite-temperature perturbation theory of interacting scalar fields under external rotation. Because of the translational non-invariance in the radial direction, Green's functions are described using the Fourier-Bessel basis, instead of the conventional Fourier basis. We derive the leading-order correction to the partition function and the one-loop self-energy. The Feynman rules obtained in our perturbation theory shows that due to the finite-size effect required by the causality constraint, the zero-temperature thermodynamics in the perturbation theory is unaffected by rotation, similarly to that in the noninteracting theory. |
| title | Perturbation theory of rotating scalar fields and vacuum insensitivity to rotation |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2504.04712 |