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

Hiroaki Kouno, Tatsuhiro Misumi, Kouji Kashiwa, Takahiro Makiyama, Takahiro Sasaki, Masanobu Yahiro

研究成果: ジャーナルへの寄稿学術誌査読

30 被引用数 (Scopus)


We investigate differences and similarities between fundamental fermions and adjoint fermions in SU(N) gauge theory. The gauge theory with fundamental fermions possesses ZN 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 ZN 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 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.

ジャーナルPhysical Review D - Particles, Fields, Gravitation and Cosmology
出版ステータス出版済み - 7月 1 2013

!!!All Science Journal Classification (ASJC) codes

  • 核物理学および高エネルギー物理学
  • 物理学および天文学(その他)


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