A Little Large N Group Theory

Details A Little Large N Group Theory A Little Large N Group Theory

1996-11-23

arxiv.org/abs/hep-ph/9611402v1

Phys.Lett.B394:152-160,1997

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, LaTeX

Scientific paper

10.1016/S0370-2693(96)01680-2

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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