### Abstract

We evaluate quark number densities at imaginary chemical potential by lattice QCD with cloverimproved two-flavor Wilson fermion. The quark number densities are extrapolated to the small real chemical potential region by assuming some function forms. The extrapolated quark number densities are consistent with those calculated at real chemical potential with the Taylor expansion method for the reweighting factors. In order to study the large real chemical potential region, we use the two-phase model consisting of the quantum hadrodynamics model for the hadron phase and the entanglement-PNJL model for the quark phase. The quantum hadrodynamics model is constructed to reproduce nuclear saturation properties, while the entanglement-PNJL model reproduces well lattice QCD data for the order parameters such as the Polyakov loop, the thermodynamic quantities and the screening masses. Then, we calculate the mass-radius relation of neutron stars and explore the hadron-quark phase transition with the two-phase model.

Original language | English |
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Article number | 187 |

Journal | Proceedings of Science |

Volume | Part F130500 |

Publication status | Published - Jan 1 2014 |

Event | 32nd International Symposium on Lattice Field Theory, LATTICE 2014 - New York, United States Duration: Jun 23 2014 → Jun 28 2014 |

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### All Science Journal Classification (ASJC) codes

- General

### Cite this

*Proceedings of Science*,

*Part F130500*, [187].

**Quark number density at imaginary chemical potential and its extrapolation to large real chemical potential by the effective model.** / Takahashi, Junichi; Sugano, Junpei; Ishii, Masahiro; Kouno, Hiroaki; Yahiro, Masanobu.

Research output: Contribution to journal › Conference article

*Proceedings of Science*, vol. Part F130500, 187.

}

TY - JOUR

T1 - Quark number density at imaginary chemical potential and its extrapolation to large real chemical potential by the effective model

AU - Takahashi, Junichi

AU - Sugano, Junpei

AU - Ishii, Masahiro

AU - Kouno, Hiroaki

AU - Yahiro, Masanobu

PY - 2014/1/1

Y1 - 2014/1/1

N2 - We evaluate quark number densities at imaginary chemical potential by lattice QCD with cloverimproved two-flavor Wilson fermion. The quark number densities are extrapolated to the small real chemical potential region by assuming some function forms. The extrapolated quark number densities are consistent with those calculated at real chemical potential with the Taylor expansion method for the reweighting factors. In order to study the large real chemical potential region, we use the two-phase model consisting of the quantum hadrodynamics model for the hadron phase and the entanglement-PNJL model for the quark phase. The quantum hadrodynamics model is constructed to reproduce nuclear saturation properties, while the entanglement-PNJL model reproduces well lattice QCD data for the order parameters such as the Polyakov loop, the thermodynamic quantities and the screening masses. Then, we calculate the mass-radius relation of neutron stars and explore the hadron-quark phase transition with the two-phase model.

AB - We evaluate quark number densities at imaginary chemical potential by lattice QCD with cloverimproved two-flavor Wilson fermion. The quark number densities are extrapolated to the small real chemical potential region by assuming some function forms. The extrapolated quark number densities are consistent with those calculated at real chemical potential with the Taylor expansion method for the reweighting factors. In order to study the large real chemical potential region, we use the two-phase model consisting of the quantum hadrodynamics model for the hadron phase and the entanglement-PNJL model for the quark phase. The quantum hadrodynamics model is constructed to reproduce nuclear saturation properties, while the entanglement-PNJL model reproduces well lattice QCD data for the order parameters such as the Polyakov loop, the thermodynamic quantities and the screening masses. Then, we calculate the mass-radius relation of neutron stars and explore the hadron-quark phase transition with the two-phase model.

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M3 - Conference article

AN - SCOPUS:85030086768

VL - Part F130500

JO - Proceedings of Science

JF - Proceedings of Science

SN - 1824-8039

M1 - 187

ER -