Light-plane commutators and corrections to partial conservation of axial-vector current

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Abstract
Corrections to the partially conserved axial-vector current hypothesis are evaluated by taking into account the contributions of the radially excited pseudoscalar mesons, whose existence is predicted in the quark model. The coupling of these mesons to the axial-vector current is first order in chiral-symmetry breaking. Several sum rules, related to matrix elements of light-plane commutators of charges and divergences of currents, are analyzed. Predictions are made for some decay modes of the radially excited pseudoscalar and vector mesons.