The three-dimensional, three state Potts model in a negative external field

Abstract

We investigate the critical behaviour of the three-dimensional, three state Potts model in presence of a negative external field h, i.e. disfavouring one of the three states. A genuine phase transition is present for all values of |h|, corresponding to the spontaneous breaking of a residual Z_2 symmetry. The transition is first/second order respectively for small/large values of |h|, with a tricritical field h_tric separating the two regimes. We provide, using different and consistent approaches, a precise determination of h_tric; we also compare with previous studies and discuss the relevance of our investigation to analogous studies of the QCD phase diagram in presence of an imaginary chemical potential.

11 pages, 17 figures, minor corrections

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• A multicritical Landau-Potts field theory
• Classical phase transitions in a one-dimensional short-range spin model induced by entropy depletion or complex fields
• Yang-Lee zeros and the critical behavior of the infinite-range two- and three-state Potts models
• Crossover exponents, fractal dimensions and logarithms in Landau-Potts field theories
• Phase diagram of the 4D U(1) model at finite temperature
• Information theoretical view of QCD effective model with heavy quarks
• Phase structure of heavy dense lattice QCD and the three-state Potts model