TY - JOUR

T1 - The quarkyonic phase and the ZNc symmetry

AU - Sakai, Yuji

AU - Kouno, Hiroaki

AU - Sasaki, Takahiro

AU - Yahiro, Masanobu

N1 - Funding Information:
The authors thank A. Nakamura, T. Saito, K. Nagata and K. Kashiwa for useful discussions. H.K. also thanks M. Imachi, H. Yoneyama, H. Aoki and M. Tachibana for useful discussions. Y.S. is supported by RIKEN Special Postdoctoral Researchers Program. T.S. is supported by JSPS .

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.

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U2 - 10.1016/j.physletb.2012.10.027

DO - 10.1016/j.physletb.2012.10.027

M3 - Article

AN - SCOPUS:84868205858

SN - 0370-2693

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

IS - 1

ER -