Weyl multiplet structure of QCD

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

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Publication Details

Journal
Physics Letters B
Published
2025-08-12
DOI
https://doi.org/10.1016/j.physletb.2025.139819
Citations
2
Primary Topic
Quantum Chromodynamics and Particle Interactions
Type
article
Field-Weighted Citation Impact
3.74

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article

Weyl multiplet structure of QCD

Takuya Tsukioka, Pengming Zhang, Dmitriy G. Pak
2 citations
Physics Letters B
Quantum Chromodynamics and Particle Interactions
3.74
article

Weyl multiplet structure of QCD

Takuya Tsukioka, Pengming Zhang, Dmitriy G. Pak
article en
2 citations

Abstract

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

Physics Letters BVol. 868
Academy of Sciences Republic of Uzbekistan (UZ), Sun Yat-sen University (CN), Bukkyo University (JP)
National Natural Science Foundation of China, Japan Society for the Promotion of Science
Openalex Percentile: Top 7%
Quantum Chromodynamics and Particle Interactions
3.74
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