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A little large N group theory

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1997

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Elsevier BV
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Collins, Hael, and Howard Georgi. 1997. “A Little Large N Group Theory.” Physics Letters B 394 (1-2) (February): 152–160. doi:10.1016/s0370-2693(96)01680-2.

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Abstract

We discuss the group theory relevant to the ground-state baryons in large Nc 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 → ∞ 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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