2022/10/17 by Shai M. Chester, Ning Su, Chester, Shai M. +1 · 3 citations
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Physics of Superconductivity and Magnetism #Quantum many-body systems #Statistical Mechanics (cond-mat.stat-mech) #Strongly Correlated Electrons (cond-mat.str-el) #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.2210.09091
openalex publication_date 2022/10/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider the 3-state Potts model in d≥2 dimensions. For d less than the upper critical dimension dcrit, the model has a critical and a tricritical fixed point. In d=2, these fixed points are described by minimal models, and so are exactly solvable. For d>2, however, strong coupling makes them difficult to study and there is no consensus on the value of dcrit. We use the numerical conformal bootstrap to compute critical exponents of both the critical and tricritical fixed points for general d. In d=2 our results match the expected values, and as we increase d we find that the critical exponents of each fixed point get closer until they merge near dcrit\lesssim 2.5.