### Abstract

We investigate the relation between the confinement and the Z_{3} symmetry in three-flavor QCD with imaginary isospin chemical potentials (μu,μd,μs) = (iT,iT, 0), using the Polyakov-loop extended NambuJonaLasinio (PNJL) model, where T is temperature. As for three-degenerate flavors, the system has ℤ_{3} symmetry at = 2π/3 and hence the Polyakov loop ψ vanishes there for small T. As for 2+1 flavors, the symmetry is not preserved for any , but ψ becomes zero at = conf < 2π/3 for small T. The confinement phase defined by ψ = 0 is realized, even if the system does not have Z3 symmetry exactly. In the T plane, there is a critical endpoint of deconfinement transition. The deconfinement crossover at zero chemical potential is a remnant of the first-order deconfinement transition at = conf. The relation between the nondiagonal element X_{us} of quark-number susceptibilities and the deconfinement transition is studied. The present results can be checked by lattice QCD simulations directly, since the simulations are free from the sign problem for any .

Original language | English |
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Article number | 095003 |

Journal | Journal of Physics G: Nuclear and Particle Physics |

Volume | 40 |

Issue number | 9 |

DOIs | |

Publication status | Published - Sep 1 2013 |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Cite this

_{3}symmetry in three-flavor QCD.

*Journal of Physics G: Nuclear and Particle Physics*,

*40*(9), [095003]. https://doi.org/10.1088/0954-3899/40/9/095003