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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/2509.19933 |
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| _version_ | 1866908556640387072 |
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| author | Nagy, Sebestyen Nogradi, Daniel |
| author_facet | Nagy, Sebestyen Nogradi, Daniel |
| contents | We formulate thermal quantum field theory on a finite spatial periodic volume undergoing rotation. Traditional compactifications at finite temperature without rotations typically involve ${\mathbb T}^4$ as the space-time manifold within a path integral formulation and also moving frames can be accommodated by shifted boundary conditions on the same space. We show that consistent descriptions of a rotating box are possible on space-time manifolds with topology different from ${\mathbb T}^4$ but still flat and without boundary and we classify all possible geometries. The non-trivial topology may be implemented by rotated boundary conditions allowing for a path integral formulation. The purely imaginary angular velocity in temperature units cannot be arbitrary but several discrete values are possible. We also discuss finite volume effects in detail. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_19933 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | QFT on rotating boxes at finite temperature Nagy, Sebestyen Nogradi, Daniel High Energy Physics - Lattice High Energy Physics - Theory We formulate thermal quantum field theory on a finite spatial periodic volume undergoing rotation. Traditional compactifications at finite temperature without rotations typically involve ${\mathbb T}^4$ as the space-time manifold within a path integral formulation and also moving frames can be accommodated by shifted boundary conditions on the same space. We show that consistent descriptions of a rotating box are possible on space-time manifolds with topology different from ${\mathbb T}^4$ but still flat and without boundary and we classify all possible geometries. The non-trivial topology may be implemented by rotated boundary conditions allowing for a path integral formulation. The purely imaginary angular velocity in temperature units cannot be arbitrary but several discrete values are possible. We also discuss finite volume effects in detail. |
| title | QFT on rotating boxes at finite temperature |
| topic | High Energy Physics - Lattice High Energy Physics - Theory |
| url | https://arxiv.org/abs/2509.19933 |