TY - JOUR

T1 - Confinement and ℤ3 symmetry in three-flavor QCD

AU - Kouno, Hiroaki

AU - Makiyama, Takahiro

AU - Sasaki, Takahiro

AU - Sakai, Yuji

AU - Yahiro, Masanobu

N1 - Copyright:
Copyright 2013 Elsevier B.V., All rights reserved.

PY - 2013/9

Y1 - 2013/9

N2 - We investigate the relation between the confinement and the Z3 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 ℤ3 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 Xus 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 .

AB - We investigate the relation between the confinement and the Z3 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 ℤ3 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 Xus 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 .

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U2 - 10.1088/0954-3899/40/9/095003

DO - 10.1088/0954-3899/40/9/095003

M3 - Article

AN - SCOPUS:84883316760

VL - 40

JO - Journal of Physics G: Nuclear and Particle Physics

JF - Journal of Physics G: Nuclear and Particle Physics

SN - 0954-3899

IS - 9

M1 - 095003

ER -