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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2023
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2301.01786 |
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| _version_ | 1866913357994393600 |
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| author | Jin, Qingjun Ren, Ke Yang, Gang Yu, Rui |
| author_facet | Jin, Qingjun Ren, Ke Yang, Gang Yu, Rui |
| contents | We present concrete evidence that Yang-Mills theory exhibits non-unitarity in non-integer spacetime dimensions. This violation of unitarity stems from evanescent operators that, while vanishing in four dimensions, are non-zero in general d dimensions. We demonstrate that these evanescent operators lead to the emergence of both negative-norm states and complex anomalous dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_01786 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Is Yang-Mills Theory Unitary in Fractional Spacetime Dimensions? Jin, Qingjun Ren, Ke Yang, Gang Yu, Rui High Energy Physics - Theory We present concrete evidence that Yang-Mills theory exhibits non-unitarity in non-integer spacetime dimensions. This violation of unitarity stems from evanescent operators that, while vanishing in four dimensions, are non-zero in general d dimensions. We demonstrate that these evanescent operators lead to the emergence of both negative-norm states and complex anomalous dimensions. |
| title | Is Yang-Mills Theory Unitary in Fractional Spacetime Dimensions? |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2301.01786 |