Revisiting symmetries of lattice fermions via spin-flavor representation

Taro Kimura, Shota Komatsu, Tatsuhiro Misumi, Toshifumi Noumi, Shingo Torii, Sinya Aoki

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)


Employing the spin-flavor representation, we investigate the structures of the doubler-mixing symmetries and the mechanisms of their spontaneous breakdown in four types of lattice fermion formulation. We first revisit the U(4) × U(4) symmetries of the naive fermion with the vanishing bare mass m, and re-express them in terms of the spinflavor representation. We apply the same method to the Wilson fermion, which possesses only the U(1) vector symmetry for general values of m. For a special value of m, however, there emerges an additional U(1) symmetry to be broken by pion condensation. We also explore two types of minimally doubled fermion, and discover a similar kind of symmetry enhancement and its spontaneous breakdown.

Original languageEnglish
Article number048
JournalJournal of High Energy Physics
Issue number1
Publication statusPublished - 2012
Externally publishedYes


  • Global Symmetries
  • Lattice Gauge Field Theories
  • Lattice QCD
  • Strong Coupling Expansion

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


Dive into the research topics of 'Revisiting symmetries of lattice fermions via spin-flavor representation'. Together they form a unique fingerprint.

Cite this