Is Symmetry Breaking into Special Subgroup Special?

Taichiro Kugo; Naoki Yamatsu

doi:10.1093/ptep/ptz063

Is Symmetry Breaking into Special Subgroup Special?

High Energy Physics - Phenomenology 2019-12-06 v2 High Energy Physics - Theory

Authors: Taichiro Kugo , Naoki Yamatsu

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Abstract

The purpose of this paper is to show that the symmetry breaking into special subgroups is not special at all, contrary to the usual wisdom. To demonstrate this explicitly, we examine dynamical symmetry breaking pattern in 4D $SU(N)$ Nambu--Jona-Lasinio type models in which the fermion matter belongs to an irreducible representation of $SU(N)$ . The potential analysis shows that for almost all cases at the potential minimum the $SU(N)$ group symmetry is broken to its special subgroups such as $SO(N)$ or $USp(N)$ when symmetry breaking occurs.

Keywords

dynamical symmetry breaking special subgroups su(n) nambu-jona-lasinio model irreducible representation potential analysis

Cite

@article{arxiv.1904.06857,
  title  = {Is Symmetry Breaking into Special Subgroup Special?},
  author = {Taichiro Kugo and Naoki Yamatsu},
  journal= {arXiv preprint arXiv:1904.06857},
  year   = {2019}
}

Comments

31 pages, 4 tables, 4 figures; typos corrected, the discussion in Sec.4.2 (c) is changed

Is Symmetry Breaking into Special Subgroup Special?

Abstract

Keywords

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