Lattice realization of complex CFTs: Two-dimensional Potts model with $Q>4$ states

Autor:	Jacobsen, Jesper Lykke, Wiese, Kay Joerg
Rok vydání:	2024
Předmět:	High Energy Physics - Theory Condensed Matter - Statistical Mechanics Mathematical Physics
Druh dokumentu:	Working Paper
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
Externí odkaz:	http://arxiv.org/abs/2402.10732 Zobrazit plný text záznamu View this record from Arxiv