Structure of Three-Point Functions fromSU(3)⊗SU(3)Algebra

Abstract

We construct three-point functions of vector and axial-vector currents consistent with the constraints of chiral $\mathrm{SU}\left(3\right)\mathrm{}\otimes \mathrm{SU}\left(3\right)\mathrm{}$ algebra. We make no single-particle approximations, nor do we assume that the strangeness-changing vector currents are conserved. We do, however, assume that the effects of symmetry breaking may be represented by a set of scalar and pseudoscalar fields transforming as a representation of the algebra. The results are presented in a form in which any approximations will be guaranteed to maintain the constraints of current algebra.