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Differences and similarities between fundamental and adjoint matters in SU(N) gauge theory

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，三角樹弘，柏浩司，牧山隆洋，佐々木崇宏，八尋正信 読み: コウノ　ヒロアキ，ミスミ　タツヒロ，カシワ　コウジ，マキヤマ　タカヒロ，ササキ　タカヒロ，ヤヒロ　マサノブ
題名：
Differences and similarities between fundamental and adjoint matters in SU(N) gauge theory
発表情報：
Physical Review D88 (2013) 016002 巻: 88 号: 1 ページ: 016002-1-016002-14
キーワード：
量子色力学，クォーク，随伴表現，基本表現
概要：
We investigate differences and similarities between fundamental fermions and adjoint fermions in $SU(N)$ gauge theory. The gauge theory with fundamental fermions possesses $mathbb{Z}_{N}$ symmetry only in the limit of infinite fermion mass, whereas the gauge theory with adjoint fermions does have the symmetry for any fermion mass. The flavor-dependent twisted boundary condition (FTBC) is then imposed on fundamental fermions so that the theory with fundamental fermions can possess $mathbb{Z}_N$ symmetry for any fermion mass. We show similarities between FTBC fundamental fermions and adjoint fermions, using the Polyakov-loop extended Nambu--Jona-Lasinio (PNJL) model. In the mean-field level, the PNJL model with FTBC fundamental fermions has dynamics similar to the PNJL model with adjoint fermions for the confinement/deconfinement transition related to $mathbb{Z}_N$ symmetry. The chiral property is somewhat different between the two models, but there is a simple relation between chiral condensates in the two models. As an interesting high-energy phenomenon, a possibility of the gauge symmetry breaking is studied for FTBC fundamental fermions.
抄録：
We investigate differences and similarities between fundamental fermions and adjoint fermions in $SU(N)$ gauge theory. The gauge theory with fundamental fermions possesses $mathbb{Z}_{N}$ symmetry only in the limit of infinite fermion mass, whereas the gauge theory with adjoint fermions does have the symmetry for any fermion mass. The flavor-dependent twisted boundary condition (FTBC) is then imposed on fundamental fermions so that the theory with fundamental fermions can possess $mathbb{Z}_N$ symmetry for any fermion mass. We show similarities between FTBC fundamental fermions and adjoint fermions, using the Polyakov-loop extended Nambu--Jona-Lasinio (PNJL) model. In the mean-field level, the PNJL model with FTBC fundamental fermions has dynamics similar to the PNJL model with adjoint fermions for the confinement/deconfinement transition related to $mathbb{Z}_N$ symmetry. The chiral property is somewhat different between the two models, but there is a simple relation between chiral condensates in the two models. As an interesting high-energy phenomenon, a possibility of the gauge symmetry breaking is studied for FTBC fundamental fermions.

英語フィールド

Author：
Hiroaki Kouno, Tatsuhiro Misumi, Kouji Kashiwa, Takahiro Makiyama, Takahiro Sasaki, Masanobu Yahiro
Title：
Differences and similarities between fundamental and adjoint matters in SU(N) gauge theory
Announcement information:
Physical Review D88 (2013) 016002 Vol: 88 Issue: 1 Page: 016002-1-016002-14
Keyword：
QCD, quark, adjoint representation, fundamental representation
An abstract：
We investigate differences and similarities between fundamental fermions and adjoint fermions in $SU(N)$ gauge theory. The gauge theory with fundamental fermions possesses $mathbb{Z}_{N}$ symmetry only in the limit of infinite fermion mass, whereas the gauge theory with adjoint fermions does have the symmetry for any fermion mass. The flavor-dependent twisted boundary condition (FTBC) is then imposed on fundamental fermions so that the theory with fundamental fermions can possess $mathbb{Z}_N$ symmetry for any fermion mass. We show similarities between FTBC fundamental fermions and adjoint fermions, using the Polyakov-loop extended Nambu--Jona-Lasinio (PNJL) model. In the mean-field level, the PNJL model with FTBC fundamental fermions has dynamics similar to the PNJL model with adjoint fermions for the confinement/deconfinement transition related to $mathbb{Z}_N$ symmetry. The chiral property is somewhat different between the two models, but there is a simple relation between chiral condensates in the two models. As an interesting high-energy phenomenon, a possibility of the gauge symmetry breaking is studied for FTBC fundamental fermions.
An abstract：
We investigate differences and similarities between fundamental fermions and adjoint fermions in $SU(N)$ gauge theory. The gauge theory with fundamental fermions possesses $mathbb{Z}_{N}$ symmetry only in the limit of infinite fermion mass, whereas the gauge theory with adjoint fermions does have the symmetry for any fermion mass. The flavor-dependent twisted boundary condition (FTBC) is then imposed on fundamental fermions so that the theory with fundamental fermions can possess $mathbb{Z}_N$ symmetry for any fermion mass. We show similarities between FTBC fundamental fermions and adjoint fermions, using the Polyakov-loop extended Nambu--Jona-Lasinio (PNJL) model. In the mean-field level, the PNJL model with FTBC fundamental fermions has dynamics similar to the PNJL model with adjoint fermions for the confinement/deconfinement transition related to $mathbb{Z}_N$ symmetry. The chiral property is somewhat different between the two models, but there is a simple relation between chiral condensates in the two models. As an interesting high-energy phenomenon, a possibility of the gauge symmetry breaking is studied for FTBC fundamental fermions.

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