NUCLEON SPIN AND ITS GAUGE INVARIANCE AND CANONICAL COMMUTATION RELATION
Abstract
The nucleon spin structure has been shown to be described by a dynamical constituent quark model with ~85% q3 and Fock components. As a QCD system there is no gauge invariance and canonical commutation relation simultaneously satisfied decomposition of the nucleon spin operator. To keep gauge invariance but give up the canonical commutation relation of the angular momentum operator will ruin the multiple moments expansion and the partial wave decomposition. A weak gauge invariant condition is proposed where the canonical commutation relation of angular momentum operator is intact and the gauge invariance is only true for special sets of matrix elements instead of the operators.
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