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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2312.09283 |
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| _version_ | 1866914794432364544 |
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| author | Henriksson, Johan Kravchuk, Petr Oertel, Brett |
| author_facet | Henriksson, Johan Kravchuk, Petr Oertel, Brett |
| contents | The number of local operators in a CFT below a given twist grows with spin. Consistency with analyticity in spin then requires that at low spin, infinitely many Regge trajectories must decouple from local correlation functions, implying infinitely many vanishing conditions for OPE coefficients. In this paper we explain the mechanism behind this infinity of zeros. Specifically, the mechanism is related to the two-point function rather than the three-point function, explaining the vanishing of OPE coefficients in every correlator from a single condition. We illustrate our result by studying twist-4 Regge trajectories in the Wilson--Fisher CFT at one loop. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_09283 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Missing local operators, zeros, and twist-4 trajectories Henriksson, Johan Kravchuk, Petr Oertel, Brett High Energy Physics - Theory The number of local operators in a CFT below a given twist grows with spin. Consistency with analyticity in spin then requires that at low spin, infinitely many Regge trajectories must decouple from local correlation functions, implying infinitely many vanishing conditions for OPE coefficients. In this paper we explain the mechanism behind this infinity of zeros. Specifically, the mechanism is related to the two-point function rather than the three-point function, explaining the vanishing of OPE coefficients in every correlator from a single condition. We illustrate our result by studying twist-4 Regge trajectories in the Wilson--Fisher CFT at one loop. |
| title | Missing local operators, zeros, and twist-4 trajectories |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2312.09283 |