We investigate the critical behavior of the three-dimensional, three-state Potts model in presence of a negative external field h, i.e. disfavoring one of the three states. A genuine phase transition is present for all values of |h|, corresponding to the spontaneous breaking of a residual Z2 symmetry. The transition is first/second-order, respectively, for small/large values of |h|, with a tricritical field htric 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.
Three-dimensional, three-state Potts model in a negative external field
D'ELIA, MASSIMO
2010-01-01
Abstract
We investigate the critical behavior of the three-dimensional, three-state Potts model in presence of a negative external field h, i.e. disfavoring one of the three states. A genuine phase transition is present for all values of |h|, corresponding to the spontaneous breaking of a residual Z2 symmetry. The transition is first/second-order, respectively, for small/large values of |h|, with a tricritical field htric 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.
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