Phases of the three-state Potts model in three spatial dimensions

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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6 pages including 5 epsf figures, latex file, RIKEN-AF-NP-154

Scientific paper

The three-state Potts model is numerically investigated on three-dimensional simple cubic lattices of up to \(128^3\) volume, concentrating on the neighborhood of the first-order phase transition separating the ordered and disordered phases. In both phases clusters of like spins are observed with irregular boundaries. In the ordered phase the two different non-favored spins are found to attract each other with a long but finite range. As a result, the neighborhoods of the non-favored spins are interpreted as domains of the disordered phase. This explains why the first-order phase transitions associated with the global \(Z_3\) symmetry, including the SU(3) pure-gauge one, are so weak.

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