Abstract

We present a formulation of chiral dynamics suitable for the large-${N}_{c}$ (number of colors) limit of quantum chromodynamics (QCD). The formulation is in terms of current amplitudes with cyclic crossing symmetry. We derive the chiral Ward identities for these "cyclic current amplitudes" and illustrate how they can be used to obtain low-energy theorems and current-algebra sum rules. We suggest that the Dashen---Gell-Mann program of saturating current-algebra sum rules with narrow resonances be reexamined within the framework of infinite-${N}_{c}$ QCD. We discuss several possible escapes from no-go results obtained by Chang, Dashen, and O'Raifeartaigh.

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