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 journalArticle

10 Citations (Scopus)

Abstract

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
Volume2012
Issue number1
DOIs
Publication statusPublished - 2012
Externally publishedYes

Fingerprint

fermions
symmetry
breakdown
pions
condensation
formulations
augmentation

Keywords

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

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Kimura, T., Komatsu, S., Misumi, T., Noumi, T., Torii, S., & Aoki, S. (2012). Revisiting symmetries of lattice fermions via spin-flavor representation. Journal of High Energy Physics, 2012(1), [048]. https://doi.org/10.1007/JHEP01(2012)048

Revisiting symmetries of lattice fermions via spin-flavor representation. / Kimura, Taro; Komatsu, Shota; Misumi, Tatsuhiro; Noumi, Toshifumi; Torii, Shingo; Aoki, Sinya.

In: Journal of High Energy Physics, Vol. 2012, No. 1, 048, 2012.

Research output: Contribution to journalArticle

Kimura, T, Komatsu, S, Misumi, T, Noumi, T, Torii, S & Aoki, S 2012, 'Revisiting symmetries of lattice fermions via spin-flavor representation', Journal of High Energy Physics, vol. 2012, no. 1, 048. https://doi.org/10.1007/JHEP01(2012)048
Kimura, Taro ; Komatsu, Shota ; Misumi, Tatsuhiro ; Noumi, Toshifumi ; Torii, Shingo ; Aoki, Sinya. / Revisiting symmetries of lattice fermions via spin-flavor representation. In: Journal of High Energy Physics. 2012 ; Vol. 2012, No. 1.
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