The anomalous spin-statistics connection arising from pseudo-Hermiticity
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866917044872544256 |
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| author | Bai, Yao Lee, Cheng-Yang Leng, Ruifeng Zhou, Siyi |
| author_facet | Bai, Yao Lee, Cheng-Yang Leng, Ruifeng Zhou, Siyi |
| contents | We establish a new spin-statistics theorem for a class of free pseudo-Hermitian quantum field theories whose particles furnish unitary irreducible representations of the Poincaré group. In this framework, free pseudo-Hermitian fields with integer spin exhibit fermionic statistics, whereas those with half-integer spin exhibit bosonic statistics, opposite to the conventional case. This reversal arises from defining canonical field operators using pseudo-Hermitian conjugation rather than Hermitian conjugation, thereby circumventing the conventional spin-statistics theorem. The free fields retain locality, Lorentz covariance, and unitary evolution. However, interactions may violate unitarity due to the intrinsically non-Hermitian nature of the full Hamiltonian. We discuss potential resolutions to restore unitarity in interacting theories. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2510_22952 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The anomalous spin-statistics connection arising from pseudo-Hermiticity Bai, Yao Lee, Cheng-Yang Leng, Ruifeng Zhou, Siyi High Energy Physics - Theory High Energy Physics - Phenomenology We establish a new spin-statistics theorem for a class of free pseudo-Hermitian quantum field theories whose particles furnish unitary irreducible representations of the Poincaré group. In this framework, free pseudo-Hermitian fields with integer spin exhibit fermionic statistics, whereas those with half-integer spin exhibit bosonic statistics, opposite to the conventional case. This reversal arises from defining canonical field operators using pseudo-Hermitian conjugation rather than Hermitian conjugation, thereby circumventing the conventional spin-statistics theorem. The free fields retain locality, Lorentz covariance, and unitary evolution. However, interactions may violate unitarity due to the intrinsically non-Hermitian nature of the full Hamiltonian. We discuss potential resolutions to restore unitarity in interacting theories. |
| title | The anomalous spin-statistics connection arising from pseudo-Hermiticity |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2510.22952 |