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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