Lattice realization of complex CFTs: Two-dimensional Potts model with $Q>4$ states
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913507305324544 |
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| author | Jacobsen, Jesper Lykke Wiese, Kay Joerg |
| author_facet | Jacobsen, Jesper Lykke Wiese, Kay Joerg |
| contents | The two-dimensional $Q$-state Potts model with real couplings has a first-order transition for $Q>4$. We study a loop-model realization in which $Q$ is a continuous parameter. This model allows for the collision of a critical and a tricritical fixed point at $Q=4$, which then emerge as complex conformally invariant theories at $Q>4$, or even complex $Q$, for suitable complex coupling constants. All critical exponents can be obtained as analytic continuation of known exact results for $Q \le 4$. We verify this scenario in detail for $Q=5$ using transfer-matrix computations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_10732 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lattice realization of complex CFTs: Two-dimensional Potts model with $Q>4$ states Jacobsen, Jesper Lykke Wiese, Kay Joerg High Energy Physics - Theory Statistical Mechanics Mathematical Physics The two-dimensional $Q$-state Potts model with real couplings has a first-order transition for $Q>4$. We study a loop-model realization in which $Q$ is a continuous parameter. This model allows for the collision of a critical and a tricritical fixed point at $Q=4$, which then emerge as complex conformally invariant theories at $Q>4$, or even complex $Q$, for suitable complex coupling constants. All critical exponents can be obtained as analytic continuation of known exact results for $Q \le 4$. We verify this scenario in detail for $Q=5$ using transfer-matrix computations. |
| title | Lattice realization of complex CFTs: Two-dimensional Potts model with $Q>4$ states |
| topic | High Energy Physics - Theory Statistical Mechanics Mathematical Physics |
| url | https://arxiv.org/abs/2402.10732 |