English

Weyl multiplet structure of QCD

High Energy Physics - Theory 2025-08-26 v2

Abstract

Weyl group symmetric structure of SU(3) quantum chromodynamics (QCD) with one flavor quark is considered. It has been demonstrated that Weyl group as a finite color subgroup of SU(3) provides an intrinsic color symmetry of quark and gluon fields on mass shell. We show that standard QCD equations of motion lead to systems of equations for quarks and gluons forming non-trivial irreducible multiplets in one- and two-dimensional representations of the Weyl group. Some implications of Weyl multiplet structure in QCD and hadron physics are considered.

Keywords

Cite

@article{arxiv.2504.21104,
  title  = {Weyl multiplet structure of QCD},
  author = {Dmitriy G. Pak and Pengming Zhang and Takuya Tsukioka},
  journal= {arXiv preprint arXiv:2504.21104},
  year   = {2025}
}

Comments

9 pages, 1 figure

R2 v1 2026-06-28T23:15:55.462Z