### Abstract

We investigate the interplay between the ZNc symmetry and the emergence of the quarkyonic phase, adding the flavor-dependent complex chemical potentials μ _{f}=μ+iTθ _{f} with (θ _{f})=(0, θ, -θ) to the Polyakov-loop extended Nambu-Jona-Lasinio (PNJL) model. When θ=0, the PNJL model with the μ _{f} agrees with the standard PNJL model with the real chemical potential μ. When θ=2π/3, meanwhile, the PNJL model with the μ _{f} has the ZNc symmetry exactly for any real μ, so that the quarkyonic phase exists at small T and large μ. Once θ varies from 2π/3, the quarkyonic phase exists only on a line of T=0 and μ larger than the dynamical quark mass, and the region at small T and large μ is dominated by the quarkyonic-like phase in which the Polyakov loop is small but finite.

Original language | English |
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Pages (from-to) | 130-135 |

Number of pages | 6 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 718 |

Issue number | 1 |

DOIs | |

Publication status | Published - Nov 15 2012 |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Cite this

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*,

*718*(1), 130-135. https://doi.org/10.1016/j.physletb.2012.10.027

**The quarkyonic phase and the ZNc symmetry.** / Sakai, Yuji; Kouno, Hiroaki; Sasaki, Takahiro; Yahiro, Masanobu.

Research output: Contribution to journal › Article

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 718, no. 1, pp. 130-135. https://doi.org/10.1016/j.physletb.2012.10.027

}

TY - JOUR

T1 - The quarkyonic phase and the ZNc symmetry

AU - Sakai, Yuji

AU - Kouno, Hiroaki

AU - Sasaki, Takahiro

AU - Yahiro, Masanobu

PY - 2012/11/15

Y1 - 2012/11/15

N2 - We investigate the interplay between the ZNc symmetry and the emergence of the quarkyonic phase, adding the flavor-dependent complex chemical potentials μ f=μ+iTθ f with (θ f)=(0, θ, -θ) to the Polyakov-loop extended Nambu-Jona-Lasinio (PNJL) model. When θ=0, the PNJL model with the μ f agrees with the standard PNJL model with the real chemical potential μ. When θ=2π/3, meanwhile, the PNJL model with the μ f has the ZNc symmetry exactly for any real μ, so that the quarkyonic phase exists at small T and large μ. Once θ varies from 2π/3, the quarkyonic phase exists only on a line of T=0 and μ larger than the dynamical quark mass, and the region at small T and large μ is dominated by the quarkyonic-like phase in which the Polyakov loop is small but finite.

AB - We investigate the interplay between the ZNc symmetry and the emergence of the quarkyonic phase, adding the flavor-dependent complex chemical potentials μ f=μ+iTθ f with (θ f)=(0, θ, -θ) to the Polyakov-loop extended Nambu-Jona-Lasinio (PNJL) model. When θ=0, the PNJL model with the μ f agrees with the standard PNJL model with the real chemical potential μ. When θ=2π/3, meanwhile, the PNJL model with the μ f has the ZNc symmetry exactly for any real μ, so that the quarkyonic phase exists at small T and large μ. Once θ varies from 2π/3, the quarkyonic phase exists only on a line of T=0 and μ larger than the dynamical quark mass, and the region at small T and large μ is dominated by the quarkyonic-like phase in which the Polyakov loop is small but finite.

UR - http://www.scopus.com/inward/record.url?scp=84868205858&partnerID=8YFLogxK

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U2 - 10.1016/j.physletb.2012.10.027

DO - 10.1016/j.physletb.2012.10.027

M3 - Article

VL - 718

SP - 130

EP - 135

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 1

ER -