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
BONATI, CLAUDIO;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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
