2020/10/31 by Alessandro Codello, Mahmoud Safari, Gian Paolo Vacca +1
Mathematics · Physics and Astronomy · #Chiral Potts curve #Combinatorics #Condensed matter physics #Conjecture #Critical dimension #Critical exponent #Invariant (physics) #Ising model #Mathematical physics #Mathematics #Multicritical point #Phase (matter) #Phase diagram #Phase transition #Physics #Potts model #Quantum mechanics #Random Matrices and Applications #Statistical physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech #hep-th
paper · pdf · doi:10.1103/physrevd.102.125024
published as Phys. Rev. D 102, 125024 (2020) · 12 pages, 5 figures; v2: improved discussion for the q=0 limit, to appear in PRD
arxiv created 2020/12/05 · openalex publication_date 2020/12/22 · arxiv updated 2021/01/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate a perturbatively renormalizable Sq invariant model with N=q\ensuremath-1 scalar field components below the upper critical dimension dc=10/3. Our results hint at the existence of multicritical generalizations of the critical models of spanning random clusters and percolations in three dimensions. We also discuss the role of our multicritical model in a conjecture that involves the separation of first and second order phases in the (d,q) diagram of the Potts model.