### Abstract

We construct four kinds of Z3-symmetric three-dimensional (3D) Potts models, each with a different number of states at each site on a 3D lattice, by extending the 3D 3-state Potts model. Comparing the ordinary Potts model with the four Z3-symmetric Potts models, we investigate how Z3 symmetry affects the sign problem and see how the deconfinement transition line changes in the μ-κ plane as the number of states increases, where μ (κ) plays a role of chemical potential (temperature) in the models. We find that the sign problem is almost cured by imposing Z3 symmetry. This mechanism may happen in Z3-symmetric QCD-like theory. We also show that the deconfinement transition line has stronger μ dependence with respect to increasing the number of states.

Original language | English |
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Article number | 014011 |

Journal | Physical Review D |

Volume | 94 |

Issue number | 1 |

DOIs | |

Publication status | Published - Jul 8 2016 |

### All Science Journal Classification (ASJC) codes

- Physics and Astronomy (miscellaneous)

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## Cite this

*Physical Review D*,

*94*(1), [014011]. https://doi.org/10.1103/PhysRevD.94.014011