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

N1 - Funding Information:
We thank A. Nakamura, K. Nagata and T. Sasaki for useful discussions. M. Y., H. K., and J. T. are supported by Grant-in-Aid for Scientific Research (No. 26400278, No. 26400279, and No. 25-3944) from the Japan Society for the Promotion of Science (JSPS). The numerical calculations were performed on NEC SX-9 and SX-8R at CMC, Osaka University and HITACHI HA8000 at Research Institute for Information Technology, Kyushu University.
Publisher Copyright:
© Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.

PY - 2014

Y1 - 2014

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

SN - 1824-8039

VL - Part F130500

JO - Proceedings of Science

JF - Proceedings of Science

M1 - 187

T2 - 32nd International Symposium on Lattice Field Theory, LATTICE 2014

Y2 - 23 June 2014 through 28 June 2014

ER -