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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