The quarkyonic phase and the ZNc symmetry

Yuji Sakai, Hiroaki Kouno, Takahiro Sasaki, Masanobu Yahiro

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29 Citations (Scopus)


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 languageEnglish
Pages (from-to)130-135
Number of pages6
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Issue number1
Publication statusPublished - Nov 15 2012

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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