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arxiv: hep-ph/9611402 · v1 · pith:FRQB5K3Xnew · submitted 1996-11-23 · ✦ hep-ph

A Little Large N Group Theory

classification ✦ hep-ph
keywords grouplargegeneratorsclassicalrepresentationtheoryarbitrarybaryon
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We discuss the group theory relevant to the ground-state baryons in large N_c QCD. For very large representation, the group generators become classical variables. We find the form of the classical generators for the completely symmetric N index representation of $SU(m)$ as $N\rightarrow\infty$ and derive an integral formula for the matrix elements of an arbitrary polynomial in the group generators between low-spin baryon states in the large N limit.

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