Peculiarities of quantum field theory in the presence of a wormhole
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909801286467584 |
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| author | Smolyakov, Mikhail N. |
| author_facet | Smolyakov, Mikhail N. |
| contents | In this paper, quantum theory of a real massive scalar field in the background of a traversable wormhole is examined. The wormhole is supposed to connect two different universes; as a particular example the simplest Ellis wormhole is considered. It is shown that the resulting theory possesses a doubling of quantum states parametrized by the same value of asymptotic momentum; two different sets of such degenerate states are localized in different universes. This is a consequence of the topological structure of the wormhole spacetime, which is the same as the topological structure of the Schwarzschild spacetime providing a similar degeneracy of quantum states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_21256 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Peculiarities of quantum field theory in the presence of a wormhole Smolyakov, Mikhail N. General Relativity and Quantum Cosmology High Energy Physics - Theory In this paper, quantum theory of a real massive scalar field in the background of a traversable wormhole is examined. The wormhole is supposed to connect two different universes; as a particular example the simplest Ellis wormhole is considered. It is shown that the resulting theory possesses a doubling of quantum states parametrized by the same value of asymptotic momentum; two different sets of such degenerate states are localized in different universes. This is a consequence of the topological structure of the wormhole spacetime, which is the same as the topological structure of the Schwarzschild spacetime providing a similar degeneracy of quantum states. |
| title | Peculiarities of quantum field theory in the presence of a wormhole |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2506.21256 |