### Abstract

We study properties of two-color QCD at imaginary chemical potential (μ) from the viewpoint of the Roberge-Weiss periodicity, the charge conjugation, and the pseudoreality. At μ=±iπT/2, where T is temperature, the system is symmetric under the combination of the charge conjugation C and the Z_{2} transformation. The symmetry, called CZ_{2} symmetry, is preserved at lower T but spontaneously broken at higher T. The Polyakov-loop extended Nambu-Jona-Lasinio model has the same properties as two-color QCD for CZ_{2} symmetry and the pseudoreality. The nontrivial correlation between the chiral restoration and the deconfinement are investigated by introducing the entanglement vertex in the Polyakov-loop extended Nambu-Jona-Lasinio model. The order of CZ_{2} symmetry breaking at the Roberge-Weiss end point is second order when the correlation is weak, but becomes first order when the correlation is strong. We also investigate the impact of the correlation on the phase diagram at real μ.

Original language | English |
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Article number | 016015 |

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

Volume | 87 |

Issue number | 1 |

DOIs | |

Publication status | Published - Jan 24 2013 |

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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*,

*87*(1), [016015]. https://doi.org/10.1103/PhysRevD.87.016015

**Two-color QCD at imaginary chemical potential and its impact on real chemical potential.** / Kashiwa, Kouji; Sasaki, Takahiro; Kouno, Hiroaki; Yahiro, Masanobu.

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 87, no. 1, 016015. https://doi.org/10.1103/PhysRevD.87.016015

}

TY - JOUR

T1 - Two-color QCD at imaginary chemical potential and its impact on real chemical potential

AU - Kashiwa, Kouji

AU - Sasaki, Takahiro

AU - Kouno, Hiroaki

AU - Yahiro, Masanobu

PY - 2013/1/24

Y1 - 2013/1/24

N2 - We study properties of two-color QCD at imaginary chemical potential (μ) from the viewpoint of the Roberge-Weiss periodicity, the charge conjugation, and the pseudoreality. At μ=±iπT/2, where T is temperature, the system is symmetric under the combination of the charge conjugation C and the Z2 transformation. The symmetry, called CZ2 symmetry, is preserved at lower T but spontaneously broken at higher T. The Polyakov-loop extended Nambu-Jona-Lasinio model has the same properties as two-color QCD for CZ2 symmetry and the pseudoreality. The nontrivial correlation between the chiral restoration and the deconfinement are investigated by introducing the entanglement vertex in the Polyakov-loop extended Nambu-Jona-Lasinio model. The order of CZ2 symmetry breaking at the Roberge-Weiss end point is second order when the correlation is weak, but becomes first order when the correlation is strong. We also investigate the impact of the correlation on the phase diagram at real μ.

AB - We study properties of two-color QCD at imaginary chemical potential (μ) from the viewpoint of the Roberge-Weiss periodicity, the charge conjugation, and the pseudoreality. At μ=±iπT/2, where T is temperature, the system is symmetric under the combination of the charge conjugation C and the Z2 transformation. The symmetry, called CZ2 symmetry, is preserved at lower T but spontaneously broken at higher T. The Polyakov-loop extended Nambu-Jona-Lasinio model has the same properties as two-color QCD for CZ2 symmetry and the pseudoreality. The nontrivial correlation between the chiral restoration and the deconfinement are investigated by introducing the entanglement vertex in the Polyakov-loop extended Nambu-Jona-Lasinio model. The order of CZ2 symmetry breaking at the Roberge-Weiss end point is second order when the correlation is weak, but becomes first order when the correlation is strong. We also investigate the impact of the correlation on the phase diagram at real μ.

UR - http://www.scopus.com/inward/record.url?scp=84873180713&partnerID=8YFLogxK

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U2 - 10.1103/PhysRevD.87.016015

DO - 10.1103/PhysRevD.87.016015

M3 - Article

AN - SCOPUS:84873180713

VL - 87

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

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

SN - 1550-7998

IS - 1

M1 - 016015

ER -