Veneziano Model and Current Algebra: the Hypothesis of Partial Conservation of Axial-Vector Current.

A systematic procedure for applying the hypothesis of the partial conservation of the axial-vector current to the Regge-pole models of the Veneziano type is illustrated by a discussion of the matrix element of the axial-vector current for the weak process ${A}_{\ensuremath{\mu}}+\ensuremath{\pi}\ensuremath{\rightarrow}\ensuremath{\pi}+\ensuremath{\pi}$. Additional information is obtained which relates the reactions $\ensuremath{\pi}+\ensuremath{\pi}\ensuremath{\rightarrow}\ensuremath{\pi}+\ensuremath{\pi}$ and $\ensuremath{\pi}+\ensuremath{\pi}\ensuremath{\rightarrow}\ensuremath{\pi}+{A}_{1}$.