A multicritical Landau-Potts field theory
Abstract
We investigate a perturbatively renormalizable Sq invariant model with N=q-1 scalar field components below the upper critical dimension dc=103. 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.
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