Interplay between sign problem and Z3 symmetry in three-dimensional Potts models

Takehiro Hirakida, Hiroaki Kouno, Junichi Takahashi, Masanobu Yahiro

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12 Citations (Scopus)


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 languageEnglish
Article number014011
JournalPhysical Review D
Issue number1
Publication statusPublished - Jul 8 2016

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)


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