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| Format: | Preprint |
| Published: |
2020
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2011.13201 |
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| _version_ | 1866916915057786880 |
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| author | Raab, Andreas |
| author_facet | Raab, Andreas |
| contents | We prove that field operators in a Wightman quantum field theory generally have self-adjoint extensions. If the theory is bosonic and the field operators also obey canonical commutation relations (CCRs), then the Weyl form of the CCRs exits. This entails that the field operators emerge from the corresponding CCR algebra, which is a unique C$^\ast$-algebra and which is determined by the two-point Wightman function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2011_13201 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | On Bosonic Wightman Quantum Field Theories Raab, Andreas Mathematical Physics We prove that field operators in a Wightman quantum field theory generally have self-adjoint extensions. If the theory is bosonic and the field operators also obey canonical commutation relations (CCRs), then the Weyl form of the CCRs exits. This entails that the field operators emerge from the corresponding CCR algebra, which is a unique C$^\ast$-algebra and which is determined by the two-point Wightman function. |
| title | On Bosonic Wightman Quantum Field Theories |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2011.13201 |