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Confinement and Z3 symmetry in three flavor QCD

発表形態：
原著論文
主要業績：
主要業績
単著・共著：
共著
発表年月：
2013年08月
DOI：
会議属性：
指定なし
査読：
有り
リンク情報：

日本語フィールド

著者：
河野宏明，牧山隆洋，佐々木崇宏，境祐二，八尋正信 読み: コウノ　ヒロアキ, マキヤマ　タカヒロ, ササキ　タカヒロ，サカイ　ユウジ，ヤヒロ　マサノブ
題名：
Confinement and Z3 symmetry in three flavor QCD
発表情報：
Journal of Physics G:Nuclear Particle Physics 巻: 40 号: 9 ページ: 095003-1-095003-19
キーワード：
量子色力学，クォーク，閉じ込め
概要：
We investigate the relation between the confinement and the $mathbb{Z}_3$ symmetry in three-flavor QCD with imaginary isospin chemical potentials $(mu_u,mu_d,mu_s)=(i heta T,-i heta T,0)$, using the Polyakov-loop extended Nambu--Jona-Lasinio (PNJL) model, where $T$ is temperature. As for three degenerate flavors, the system has $mathbb{Z}_{3}$ symmetry at $ heta=2pi/3$ and hence the Polyakov loop $Phi$ vanishes there for small $T$. As for 2+1 flavors, the symmetry is not preserved for any $ heta$, but $Phi$ becomes zero at $ heta= heta_{ m conf} < 2pi/3$ for small $T$. The confinement phase defined by $Phi=0$ is realized, even if the system does not have $mathbb{Z}_{3}$ symmetry exactly. In the $ heta$-$T$ plane, there is a critical endpoint of deconfinement transition. The deconfinement crossover at zero chemical potential is a remnant of the first-order deconfinement transition at $ heta= heta_{ m conf}$. The relation between the non-diagonal element $chi_{us}$ of quark number susceptibilities and the deconfinement transition is studied. The present results can be checked by lattice QCD simulations directly, since the simulations are free from the sign problem for any $ heta$.
抄録：
We investigate the relation between the confinement and the $mathbb{Z}_3$ symmetry in three-flavor QCD with imaginary isospin chemical potentials $(mu_u,mu_d,mu_s)=(i heta T,-i heta T,0)$, using the Polyakov-loop extended Nambu--Jona-Lasinio (PNJL) model, where $T$ is temperature. As for three degenerate flavors, the system has $mathbb{Z}_{3}$ symmetry at $ heta=2pi/3$ and hence the Polyakov loop $Phi$ vanishes there for small $T$. As for 2+1 flavors, the symmetry is not preserved for any $ heta$, but $Phi$ becomes zero at $ heta= heta_{ m conf} < 2pi/3$ for small $T$. The confinement phase defined by $Phi=0$ is realized, even if the system does not have $mathbb{Z}_{3}$ symmetry exactly. In the $ heta$-$T$ plane, there is a critical endpoint of deconfinement transition. The deconfinement crossover at zero chemical potential is a remnant of the first-order deconfinement transition at $ heta= heta_{ m conf}$. The relation between the non-diagonal element $chi_{us}$ of quark number susceptibilities and the deconfinement transition is studied. The present results can be checked by lattice QCD simulations directly, since the simulations are free from the sign problem for any $ heta$.

英語フィールド

Author：
Hiroaki Kouno, Takahiro Makiyama, Takahiro Sasaki, Yuji Sakai, Masanobu Yahiro
Title：
Confinement and Z3 symmetry in three flavor QCD
Announcement information:
Journal of Physics G:Nuclear Particle Physics Vol: 40 Issue: 9 Page: 095003-1-095003-19
Keyword：
QCD,quark, confinement
An abstract：
We investigate the relation between the confinement and the $mathbb{Z}_3$ symmetry in three-flavor QCD with imaginary isospin chemical potentials $(mu_u,mu_d,mu_s)=(i heta T,-i heta T,0)$, using the Polyakov-loop extended Nambu--Jona-Lasinio (PNJL) model, where $T$ is temperature. As for three degenerate flavors, the system has $mathbb{Z}_{3}$ symmetry at $ heta=2pi/3$ and hence the Polyakov loop $Phi$ vanishes there for small $T$. As for 2+1 flavors, the symmetry is not preserved for any $ heta$, but $Phi$ becomes zero at $ heta= heta_{ m conf} < 2pi/3$ for small $T$. The confinement phase defined by $Phi=0$ is realized, even if the system does not have $mathbb{Z}_{3}$ symmetry exactly. In the $ heta$-$T$ plane, there is a critical endpoint of deconfinement transition. The deconfinement crossover at zero chemical potential is a remnant of the first-order deconfinement transition at $ heta= heta_{ m conf}$. The relation between the non-diagonal element $chi_{us}$ of quark number susceptibilities and the deconfinement transition is studied. The present results can be checked by lattice QCD simulations directly, since the simulations are free from the sign problem for any $ heta$.
An abstract：
We investigate the relation between the confinement and the $mathbb{Z}_3$ symmetry in three-flavor QCD with imaginary isospin chemical potentials $(mu_u,mu_d,mu_s)=(i heta T,-i heta T,0)$, using the Polyakov-loop extended Nambu--Jona-Lasinio (PNJL) model, where $T$ is temperature. As for three degenerate flavors, the system has $mathbb{Z}_{3}$ symmetry at $ heta=2pi/3$ and hence the Polyakov loop $Phi$ vanishes there for small $T$. As for 2+1 flavors, the symmetry is not preserved for any $ heta$, but $Phi$ becomes zero at $ heta= heta_{ m conf} < 2pi/3$ for small $T$. The confinement phase defined by $Phi=0$ is realized, even if the system does not have $mathbb{Z}_{3}$ symmetry exactly. In the $ heta$-$T$ plane, there is a critical endpoint of deconfinement transition. The deconfinement crossover at zero chemical potential is a remnant of the first-order deconfinement transition at $ heta= heta_{ m conf}$. The relation between the non-diagonal element $chi_{us}$ of quark number susceptibilities and the deconfinement transition is studied. The present results can be checked by lattice QCD simulations directly, since the simulations are free from the sign problem for any $ heta$.

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