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

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30 Citations (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.

Original languageEnglish
Article number016002
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number1
Publication statusPublished - Jul 1 2013

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)


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