A NON-LINEAR REALISATION OF SU(3) + SU(3)

A non-linear SU(3)⊗SU(3) invariant Lagrangian is constructed. The non-linear transformations are required to be linear only on the subgroup of isospin rotations and strangeness gauges: π, K, η and scalar κ-mesons appear as goldstone bosons; masses of vector- and axialvector, as well as strange and non-strange, Yang-Mills fields are split. Results predicted by this SU(3)⊗SU(3) invariant Lagrangian are similar to those obtained previously by Ward-identity techniques, however, no assumption on symmetry-breaking has to be made. The Kl3-formfactors are discussed. © 1969 Springer-Verlag.