Lattice realization of complex CFTs: Two-dimensional Potts model with $Q>4$ states
| Autor: | Jacobsen, Jesper Lykke, Wiese, Kay Joerg |
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| Rok vydání: | 2024 |
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| Zdroj: | Phys. Rev. Lett. 133 (2024) 077101 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevLett.133.077101 |
| Popis: | 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. Comment: 5 pages, 6 figures |
| Databáze: | arXiv |
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