Phase structure and Hosotani mechanism in gauge theories with compact dimensions revisited

Kouji Kashiwa, Tatsuhiro Misumi

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)


We investigate the phase structure of SU(3) gauge theory in four and five dimensions with one compact dimension by using perturbative one-loop and PNJL-model- based effective potentials, with emphasis on spontaneous gauge symmetry breaking. When adjoint matter with the periodic boundary condition is introduced, we have rich phase structure in the quark-mass and compact-size space with gauge-symmetry-broken phases, called the SU(2) × U(1) split and the U(1) × U(1) re-confined phases. Our result is qualitatively consistent with the recent lattice calculations. When fundamental quarks are introduced in addition to adjoint quarks, the split phase becomes more dominant and larger as a result of explicit center symmetry breaking. We also show that another U(1) × U(1) phase (pseudo-reconfined phase) with negative vacuum expectation value of Polyakov loop exists in this case. We study chiral properties in these theories and show that chiral condensate gradually decreases and chiral symmetry is slowly restored as the size of the compact dimension is decreased.

Original languageEnglish
Article number42
JournalJournal of High Energy Physics
Issue number5
Publication statusPublished - 2013
Externally publishedYes


  • Beyond Standard Model
  • Field Theories in Higher Dimensions
  • Gauge Symmetry
  • Spontaneous Symmetry Breaking

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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