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Quark-gluon thermodynamics with the ZNc symmetry

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：: 2012年07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，境祐二，牧山隆洋，徳永幸平，佐々木崇宏，八尋正信読み: コウノ　ヒロアキ，サカイ　ユウジ，マキヤマ　タカヒロ，トクナガ　コウヘイ，ササキ　タカヒロ，ヤヒロ　マサノブ

題名：

Quark-gluon thermodynamics with the ZNc symmetry

発表情報：

Journal of Physics G:Nuclear Particle Physics 巻: 39 号: 8 ページ: 085010-1-085010-21

キーワード：

量子色力学，有限温度，閉じ込め，対称性

概要：

We propose a QCD-like theory with the $mathbb{Z}_{N_c}$ symmetry. The flavor-dependent twisted boundary condition (TBC) is imposed on $N_c$ degenerate flavor quarks in the SU($N_c$) gauge theory. The QCD-like theory is useful to understand the mechanism of color confinement. Dynamics of the QCD-like theory is studied by imposing the TBC on the Polyakov-loop extended Nambu-Jona-Lasinio (PNJL) model. The TBC model is applied to two- and three-color cases. The $mathbb{Z}_{N_c}$ symmetry is preserved below some temperature $T_c$, but spontaneously broken above $T_c$. The color confinement below $T_c$ preserves the flavor symmetry. Above $T_c$, the flavor symmetry is broken, but the breaking is suppressed by the entanglement between the Polyakov loop and the chiral condensate. Particularly at low temperature, dynamics of the TBC model is similar to that of the PNJL model with the standard fermion boundary condition, indicating that the $mathbb{Z}_{N_c}$ symmetry is a good approximate concept in the latter model even if the current quark mass is small. The present prediction can be tested in future by lattice QCD, since the QCD-like theory has no sign problem.

抄録：

We propose a QCD-like theory with the $mathbb{Z}_{N_c}$ symmetry. The flavor-dependent twisted boundary condition (TBC) is imposed on $N_c$ degenerate flavor quarks in the SU($N_c$) gauge theory. The QCD-like theory is useful to understand the mechanism of color confinement. Dynamics of the QCD-like theory is studied by imposing the TBC on the Polyakov-loop extended Nambu-Jona-Lasinio (PNJL) model. The TBC model is applied to two- and three-color cases. The $mathbb{Z}_{N_c}$ symmetry is preserved below some temperature $T_c$, but spontaneously broken above $T_c$. The color confinement below $T_c$ preserves the flavor symmetry. Above $T_c$, the flavor symmetry is broken, but the breaking is suppressed by the entanglement between the Polyakov loop and the chiral condensate. Particularly at low temperature, dynamics of the TBC model is similar to that of the PNJL model with the standard fermion boundary condition, indicating that the $mathbb{Z}_{N_c}$ symmetry is a good approximate concept in the latter model even if the current quark mass is small. The present prediction can be tested in future by lattice QCD, since the QCD-like theory has no sign problem.

英語フィールド

Author：

Hiroaki Kouno, Yuji Sakai, Takahiro Makiyama, Kouhei Tokunaga, Takahiro Sasaki, Masanobu Yahiro

Title：

Quark-gluon thermodynamics with the ZNc symmetry

Announcement information:

Journal of Physics G:Nuclear Particle Physics Vol: 39 Issue: 8 Page: 085010-1-085010-21

Keyword：

QCD,finite temperature, confinement, symmetry

An abstract：

We propose a QCD-like theory with the $mathbb{Z}_{N_c}$ symmetry. The flavor-dependent twisted boundary condition (TBC) is imposed on $N_c$ degenerate flavor quarks in the SU($N_c$) gauge theory. The QCD-like theory is useful to understand the mechanism of color confinement. Dynamics of the QCD-like theory is studied by imposing the TBC on the Polyakov-loop extended Nambu-Jona-Lasinio (PNJL) model. The TBC model is applied to two- and three-color cases. The $mathbb{Z}_{N_c}$ symmetry is preserved below some temperature $T_c$, but spontaneously broken above $T_c$. The color confinement below $T_c$ preserves the flavor symmetry. Above $T_c$, the flavor symmetry is broken, but the breaking is suppressed by the entanglement between the Polyakov loop and the chiral condensate. Particularly at low temperature, dynamics of the TBC model is similar to that of the PNJL model with the standard fermion boundary condition, indicating that the $mathbb{Z}_{N_c}$ symmetry is a good approximate concept in the latter model even if the current quark mass is small. The present prediction can be tested in future by lattice QCD, since the QCD-like theory has no sign problem.

An abstract：

We propose a QCD-like theory with the $mathbb{Z}_{N_c}$ symmetry. The flavor-dependent twisted boundary condition (TBC) is imposed on $N_c$ degenerate flavor quarks in the SU($N_c$) gauge theory. The QCD-like theory is useful to understand the mechanism of color confinement. Dynamics of the QCD-like theory is studied by imposing the TBC on the Polyakov-loop extended Nambu-Jona-Lasinio (PNJL) model. The TBC model is applied to two- and three-color cases. The $mathbb{Z}_{N_c}$ symmetry is preserved below some temperature $T_c$, but spontaneously broken above $T_c$. The color confinement below $T_c$ preserves the flavor symmetry. Above $T_c$, the flavor symmetry is broken, but the breaking is suppressed by the entanglement between the Polyakov loop and the chiral condensate. Particularly at low temperature, dynamics of the TBC model is similar to that of the PNJL model with the standard fermion boundary condition, indicating that the $mathbb{Z}_{N_c}$ symmetry is a good approximate concept in the latter model even if the current quark mass is small. The present prediction can be tested in future by lattice QCD, since the QCD-like theory has no sign problem.

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