### Abstract

The average phase factor e2iθ of the QCD determinant is evaluated at the finite quark chemical potential (μ_{q}) with the two-flavor version of the Polyakov-loop extended Nambu-Jona-Lasinio model with the scalar-type eight-quark interaction. For μ_{q} larger than half the pion mass m_{π} at vacuum, e2iθ is finite only when the Polyakov loop is larger than ∼0.5, indicating that lattice QCD is feasible only in the deconfinement phase. A critical end point lies in the region of e2iθ=0. The scalar-type eight-quark interaction makes it shorter a relative distance of the critical end point to the boundary of the region. For μ_{q}<m_{π}/2, the Polyakov-loop extended Nambu-Jona-Lasinio model with dynamical mesonic fluctuations can reproduce lattice QCD data below the critical temperature.

Original language | English |
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Article number | 096007 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 82 |

Issue number | 9 |

DOIs | |

Publication status | Published - Nov 10 2010 |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)

### Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*82*(9), [096007]. https://doi.org/10.1103/PhysRevD.82.096007